diff --git a/M1/Statistical Learning/TP3_Logistic_Regression_and _SGD.ipynb b/M1/Statistical Learning/TP3_Logistic_Regression_and _SGD.ipynb index ab0cdb7..042c6bb 100644 --- a/M1/Statistical Learning/TP3_Logistic_Regression_and _SGD.ipynb +++ b/M1/Statistical Learning/TP3_Logistic_Regression_and _SGD.ipynb @@ -27,8 +27,8 @@ "cell_type": "code", "metadata": { "ExecuteTime": { - "end_time": "2025-03-05T09:22:48.739392Z", - "start_time": "2025-03-05T09:22:46.788432Z" + "end_time": "2025-03-19T10:59:42.671629Z", + "start_time": "2025-03-19T10:59:42.542386Z" } }, "source": [ @@ -37,7 +37,7 @@ "from sklearn.linear_model import LogisticRegression" ], "outputs": [], - "execution_count": 10 + "execution_count": 11 }, { "cell_type": "markdown", @@ -50,8 +50,8 @@ "cell_type": "code", "metadata": { "ExecuteTime": { - "end_time": "2025-03-05T09:31:15.167180Z", - "start_time": "2025-03-05T09:31:15.156775Z" + "end_time": "2025-03-19T09:31:42.236327Z", + "start_time": "2025-03-19T09:31:42.227554Z" } }, "source": [ @@ -78,7 +78,7 @@ ] } ], - "execution_count": 35 + "execution_count": 31 }, { "cell_type": "markdown", @@ -100,8 +100,8 @@ "cell_type": "code", "metadata": { "ExecuteTime": { - "end_time": "2025-03-05T09:17:29.707531Z", - "start_time": "2025-03-05T09:17:29.385458Z" + "end_time": "2025-03-19T09:31:43.530754Z", + "start_time": "2025-03-19T09:31:43.239036Z" } }, "source": [ @@ -114,10 +114,10 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 3, + "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, @@ -126,13 +126,13 @@ "text/plain": [ "
" ], - "image/png": 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" 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" }, "metadata": {}, "output_type": "display_data" } ], - "execution_count": 3 + "execution_count": 32 }, { "cell_type": "markdown", @@ -147,8 +147,8 @@ "cell_type": "code", "metadata": { "ExecuteTime": { - "end_time": "2025-03-05T09:17:35.015290Z", - "start_time": "2025-03-05T09:17:34.886283Z" + "end_time": "2025-03-19T09:31:43.669223Z", + "start_time": "2025-03-19T09:31:43.542567Z" } }, "source": [ @@ -161,17 +161,17 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/tp/_ld5_pzs6nx6mv1pbjhq1l740000gn/T/ipykernel_80659/1711589517.py:3: UserWarning: No data for colormapping provided via 'c'. Parameters 'cmap' will be ignored\n", + "/var/folders/tp/_ld5_pzs6nx6mv1pbjhq1l740000gn/T/ipykernel_87821/1711589517.py:3: UserWarning: No data for colormapping provided via 'c'. Parameters 'cmap' will be ignored\n", " plt.scatter(X[:, 0], X[:, 1], alpha=0.3, cmap=mcolors.ListedColormap([\"steelblue\", \"tomato\"]))\n" ] }, { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 4, + "execution_count": 33, "metadata": {}, "output_type": "execute_result" }, @@ -180,13 +180,13 @@ "text/plain": [ "
" ], - "image/png": 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" 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" }, "metadata": {}, "output_type": "display_data" } ], - "execution_count": 4 + "execution_count": 33 }, { "cell_type": "markdown", @@ -242,8 +242,8 @@ "cell_type": "code", "metadata": { "ExecuteTime": { - "end_time": "2025-03-05T09:30:23.456488Z", - "start_time": "2025-03-05T09:30:23.450553Z" + "end_time": "2025-03-19T09:31:44.262748Z", + "start_time": "2025-03-19T09:31:44.257913Z" } }, "source": [ @@ -258,15 +258,15 @@ "LogisticRegression(penalty=None)" ], "text/html": [ - "
LogisticRegression(penalty=None)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + "
LogisticRegression(penalty=None)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" ] }, - "execution_count": 32, + "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 32 + "execution_count": 34 }, { "cell_type": "markdown", @@ -279,8 +279,8 @@ "cell_type": "code", "metadata": { "ExecuteTime": { - "end_time": "2025-03-05T09:30:25.041087Z", - "start_time": "2025-03-05T09:30:25.025456Z" + "end_time": "2025-03-19T09:31:44.569660Z", + "start_time": "2025-03-19T09:31:44.555547Z" } }, "source": [ @@ -294,15 +294,15 @@ "LogisticRegression(penalty=None)" ], "text/html": [ - "
LogisticRegression(penalty=None)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + "
LogisticRegression(penalty=None)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" ] }, - "execution_count": 33, + "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 33 + "execution_count": 35 }, { "cell_type": "markdown", @@ -317,8 +317,8 @@ "cell_type": "code", "metadata": { "ExecuteTime": { - "end_time": "2025-03-05T09:49:08.939308Z", - "start_time": "2025-03-05T09:49:08.936387Z" + "end_time": "2025-03-19T09:31:45.551736Z", + "start_time": "2025-03-19T09:31:45.548903Z" } }, "source": [ @@ -334,12 +334,12 @@ "name": "stdout", "output_type": "stream", "text": [ - "The coefficients are : -4.480843701420734 , 6.110254813887258\n", - "The intercept is : -8.270739345382312\n" + "The coefficients are : -4.698124406065196 , 6.213409207061598\n", + "The intercept is : -8.346121222086511\n" ] } ], - "execution_count": 48 + "execution_count": 36 }, { "metadata": {}, @@ -356,8 +356,8 @@ "cell_type": "code", "metadata": { "ExecuteTime": { - "end_time": "2025-03-05T09:52:24.520690Z", - "start_time": "2025-03-05T09:52:24.272549Z" + "end_time": "2025-03-19T09:31:46.940096Z", + "start_time": "2025-03-19T09:31:46.727016Z" } }, "source": [ @@ -377,13 +377,13 @@ "text/plain": [ "
" ], - "image/png": 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3fmPh71/91V/FO9/5Tvzar/0aAGDbtm14//vfj3e84x14z3ves+qaDA8PIxaL4dWvfjUSiQQ2b96M66+/vuUxHjt2DF/96lfx8MMP40UvehEA4Atf+AIGBgbwla98Ba973esAMPz/qU99Ctu3bwcA/N7v/R7e9773rbp+CgoKCgoKVxquKMXzSsChQ4fwwhe+cCHkDQC33XYbSqUSRkdHcfLkSViWtUCSACCVSmH37t0rjvm6170O1WoV27Ztw5133ol//dd/XRRyXgueeuqpBaK7ViQSCTz11FN4/PHHF0jXpz71qYX3H3/8cdx///2Ix+MLP3fccQdc18WpU6dw5MgRmKaJG264YeEzO3bsQCaTWbavperr448/jve9732Lxr7zzjsxMTGBSqWy6prcfvvt2Lx5M7Zt24Zf/dVfxRe+8IUF4rwUhw4dgmmauPXWWxdea29vx+7du3Ho0KGF16LR6ALpBIDe3t6Wyq2CgoKCgsKVjCtK8YwGoijdU9qwfa8HPM9bRDrlawBzGZt/b7VNKwwMDODIkSP45je/iW9961t485vfjI985CP43ve+txD2PhMikcjZHAYAQNd17NixAwCwZ88eTE5O4vWvfz0efPBBAIDruvjt3/7tRbmVEoODg4tyQZvR6lhjscVqs+u6eO9739syDzUcDq+6JolEAk888QQeeOAB/Nd//Rfe/e5340/+5E/w6KOPLst7XWndl57HpevcfC4VFBQUFFZApQTMTADzM/y7rZPG7tGNiW4qnD+uKMVT0zTEgrEN+VlKBM8V+/btwyOPPLKIlDzyyCNIJBLo7+/H9u3bEQgE8OMf/3jh/UKhsKiYpRUikQh+7ud+Dp/4xCfwwAMP4Ac/+AGeffZZAEAwGITjOKt+fv/+/fj2t799HkcGvO1tb8PTTz+Nf/3XfwUA3HDDDThw4AB27Nix7CcYDGLPnj2wbRtPPvnkwhjHjx9HLpc7475uuOEGHDlypOXYuvBhW21NTNPEK1/5Snz4wx/GM888g9OnT+M73/nOsv3s27cPtm3jRz/60cJrc3NzOHr0KPbu3Xs+y6WgoKDw/MbsJPDEw8ChJ9kzPTsHHHqKr81NbfTsFM4RV5TieTkhn8/jqaeeWvRaW1sb3vzmN+O+++7D7//+7+P3fu/3cOTIEbznPe/B29/+dui6jkQigV/7tV/DH/7hH6KtrQ1dXV14z3veA13XVyS/999/PxzHwa233opoNIrPf/7ziEQi2Lx5MwBWwD/44IN4wxvegFAohI6OjmVjvOc978ErXvEKbN++HW94wxtg2zb+4z/+A+94xzvWfMzJZBK/+Zu/ife85z34+Z//edx99914wQtegN/93d/FnXfeiVgshkOHDuGb3/wm/uIv/gJ79uzBK1/5SvzWb/0WPvnJTyIQCOAP/uAPEIlEzkj03/3ud+PVr341BgYG8LrXvQ66ruOZZ57Bs88+iz/90z9ddU2+9rWv4eTJk3jxi1+MTCaDr3/963Bdt2U6w86dO/Ga17wGd955Jz796U8jkUjgne98J/r7+/Ga17xmzWujoKCgoNCEahk48gxQrwHdA4D8f77nAfPTwOGngRtuAyLnX1uhcHFxRSmelxMeeOABXH/99Yt+3v3ud6O/vx9f//rX8eMf/xjXXnstfud3fgdvetOb8L//9/9e+Oy9996LF77whXj1q1+NV77ylbjtttuwd+9ehMPhlvtKp9P467/+a9x2220LyuW//du/ob29HQDwvve9D6dPn8b27dvR2dnZcoyXvvSl+PKXv4yvfvWruO666/Dyl798kcq3Vrz1rW/FoUOH8OUvfxn79+/H9773PRw7dgw/8RM/geuvvx5//Md/jN7e3oXt/+7v/g7d3d148YtfjF/4hV/AnXfeiUQiseKxStxxxx342te+hm9+85u4+eab8YIXvAD33nvvAtlebU3S6TT+5V/+BS9/+cuxd+9efOpTn8Lf//3f46qrrmq5r89+9rO48cYb8epXvxovfOEL4Xkevv71r685jUFBQUFBYQlmp4BCHmjr8kknwN/buoBintsoXHbQvEs40axQKCCVSiGfzyOZTC56r1ar4dSpU9i6desZSciVjnK5jP7+fnzsYx/Dm970po2ezgXF6OgoBgYG8K1vfeusi50uF6hrW0FB4XmPZx8FpseB9u7W789OAd19wDU3X9x5KbTEanxtKVSo/TLEk08+icOHD+OWW25BPp9fsOW5EkO73/nOd1AqlXDNNddgYmIC73jHO7Bly5ZVfTUVFBQUFC5zaBrD6ivCW6yEKlw2UMTzMsVHP/pRHDlyBMFgEDfeeCO+//3vt8zNvNxhWRbe9a534eTJk0gkEnjRi16EL3zhCyqMraCgoHAlI9MBjJ4CPBfQlmQFei7g2NxG4bLDBSeeY2NjuPvuu/Ef//EfqFar2LVrF/72b/8WN95444Xe9RWL66+/Ho8//vhGT+Oi4I477sAdd9yx0dNQUFBQULiY6OgB0u0Mqbd3A8KNBK7LivZUG7dRuOxwQYlnNpvFbbfdhpe97GX4j//4D3R1deHEiRPLvBAVFBQUFBQUFBYQCgN7rmX1+sw4oBt83XVIOvdcy20ULjtcUOL5oQ99CAMDA/jsZz+78NqWLVtW3L5er6Nery/8XSgUzriPS7g2SkHhnKCuaQUFBQVQ8bz+RcDcNFCY52vJNqC9S5HOyxgX1E7pq1/9Km666Sa87nWvQ1dXF66//nr89V//9Yrbf/CDH0QqlVr4GRgYWHFbmeO3UitDBYXLFY1GAwBgGMYGz0RBQUFhgxEKA32DwJ7r+NM3qEjnZY4LaqckrWDe/va343Wvex1+/OMf46677sKnP/1pvPGNb1y2fSvFc2BgYMXy/ImJCeRyOXR1dSEaja5b9yAFhY2C67oYHx9HIBDA4OCguqYVFBQUFC55nI2d0gUlnsFgEDfddBMeeeSRhdfe8pa34NFHH8UPfvCDM37+TAfieR4mJyfX1EJRQeFyga7r2Lp1K4LB4EZPRUFBQUFB4Yy4ZHw8e3t7sW/fvkWv7d27F//8z/+8LuNrmobe3l50dXXBsqx1GVNBYaMRDAYX+skrKCgoKChcSbigxPO2227DkSNHFr129OjRhbaF6wXDMFQ+nIKCgoKCgoLCJY4LKqu87W1vww9/+EP82Z/9GY4fP44vfvGL+MxnPoPf/d3fvZC7VVBQUFBQUFBQuARxwXu1f+1rX8M999yDY8eOYevWrXj729+OO++8c02fPZucAQUFBQUFBYV1hucBpTxQyNG8PRxlxyBTNT5U8HHJFBedLxTxVFBQUFBQ2CBYDeD4QWByFGjUAGiABiDdAey6mj6bCgo4O76mKhgUFBQUFBQUFsPzgOMHgKFjVDm7NwHd/WxfmZ8HDj4BlIsbPUuFyxCKeCooKCgoKCgsRjEPTIxQ1YxE/dcNkz3SCzlgamzDpqdw+UIlaSgoKCgoKCgsRn4eaDSAtujy9zQNiMRIPLfu5t/ni1oFmJ0CcnMANCDTTnU1HDn/sRUuKSjiqaCgoKCgoLAYrrM6oTRMFht5LqCdp53h/Axw5GkgnwVMtsPG6Ekg1QbsuZbFTApXDBTxVFBQUFBQuNzhukB2FpiZBGplIBQBOnuAtk5APwdiGBZKp+MArXyyaxWgs/fcxl46zuGngEqZOaSayAD0XGBuGjj8NHD9i5TyeQVBEU8FBQUFBYXLGbYNHHsOGD1FwhYIArbFv/s2A7uv8ZXEtaKtE0hlgOwMQ97N6metwuKjnoHzn/vMJPNFm0knwN/buxjOn5sC+rec/74ULgko4qmgoKCgoHAh4DhAqUAyGIkBofCF2c/YKWDoOPMiQ03KYKMOjJxgcdC2PWc3ZiAI7LwaOPgkMD0GRONUN6tlks7NO6ioni9yc9yX1qLWWdNJmLNzinheQVDEU0FBQUFBYT3heawIHz0FFHOA6zFU3LsJGNwBBEPrty+rAYwPk1yGloSjgyEglgDGh0jczob4ui5D7F29wKxO66RwlOH1nk0izK6McRTOHop4KigoKCgorCeGjwNHn2N3n2SGBK1aphl7uQTsu54q33qgUiIpXMnMPZZgtXi5uHbiWatw/rOTVE01jepjNA5s3wvE17GhS7odGDstipSWEFnPZRpBRhnVX0lQxFNBQUFBQWG9UCkx7B2OAomU/3o8xdcmR6kW9g2u0w7PYGXkiU3Wanlk28DhZ4DJEeZ5BgVZbdSBuUngsAfsv2X9VNuObiCZZiFRe9fi4qLZKSCVZo6pwhUDpZMrKCgoKCisF+ZnSD5bqYJmgD+TI+u3v1icqmap0Pr9chGIJrjNWpCdAabHaRIfbFJIgyGgo5eFPrNT5z9viUgM2HMdEI35hUSzU/w9nuB7qqL9ioJSPBUUFBQUFNYLVoOq3UoKYzDoV4WvVYV0HZFzaS7/jBlg/uahp4BqZXGXoXqVJHj3Nb5C6Tgi79QloYvGF4+XnfXHXQrD4BxmJ9dRsQWV1etf1GQgD3p3dnT7tk4KVwwU8VRQUFBQUFgvmAGSypWIZaMBZNrWRjpLRWBqlD+OC8RiQM8g0NXH/FGJTVuAegUYOQUU5jkH2yJJ3LwDGNjO+UyOAiMngUKWZDYYAbp7gc27qDgC/NxqRUOGCTj2WS3JmhCJAQPb+KNwRUMRTwUFBQUFhfVCWydVx3JxebjdtqiIrsX/Mj8PHHicHpfROAlfdp6q4KatwK79PvnUDWD7VUBnH9XIWg0Ih4G2Lhbv6DoLeA4/TTU23U71slphPmqpCFxzMxXQWILzXJE41xbnrjbDdYDcPBVdTWfu5lpD/ArPGyjiqaCgoKCgsF6IJYDB7cCxAySZiRSJYaUEFPNA7wCLi1aD6wDHDpIQdm/yCWAswSKfYdFOstnbUheEslV1e70GnDpCJTTV5r8ejZNsTo9RDd2yE2jv4euF7OJtAeaRBsOt51/M0cR+ftZXRENRhuS37T57A3uFKxaKeCooKCgoKKwnNu9kTuXISZqfeyKfcvsevncmK6XsHIt82jqXq47BEH8mhoHewbV5aWZnaePUijDqBhCJc7yBbSzo2bEPOPKsMI4XimW1zH3t2LeckFbLwIEnSFYznTw+zyPZPnmI+aS7r1l7TqvCFQ1FPBUUFBQUFNYTuk41snsTUMqThEWiay+UqVVI1lZSCSNR9ja3Gmvz5rQtAN7KJDUQ5FiOzRB832Zh/TTCKn2ASm3PptbWRlPjLApqbnupaVRodZ2ktn8QSKTPPNeLAavBVAiAc1wvT1WFNUERTwUFBQUFhQsBSfTyWRK4cIRelWcioLoBYJUCJcfh2GvtHBQIchzXEWMvQaPOuTUXLLV18se2OZeVSLAsWgpHW7e9jMSYr5qb33jiadtsIToxTAUYoB1V72aqvaaiRBcDapUVFBQUFBTWG1YDOH6ArTOtBgCNIfdYkuHq3lUKjFJtJGyVUuvinHJhbSF7iUwHC50KueU5oI5DhXXrrtak9ExkzPOolK62naZxPxsJ12UO6tAx5rC2dfL1chE48jTXYPd+1Qb0IkCtsIKCgoKCwnrjxGFWjMcSDLl39/PHsVldPje98mejMRbllPIkRp7H1x2bVevROPM714pgCNi6h4rn7BQr0x2bxUIz4+zHvpZK+1bQdZLaWrX1+67D7knhs+gTfyGQnQVGTzMHNZmhS4AhWppmOvie9BBVuKBQiqeCgoKCgsJ6olxk+DmZAUJNXXekldH0OMO97V0rj7FlN/8dHaKPp6az9WUyA+y8CkhlqCJKv84zKZO9A8zfHDnJ0LfjAqEQsG0PMLhj7X3cW6FnEzsN1auLjxcgmUulae20kZibAjyn9XGGIoA7T1IvlVCFCwZFPBUUFBQUFNYTxRwN3VOZ1u/Hk8z5rNdWJnymCey4ispmbo6h4lCYxMhxgNPHSF6tBrftGSC5jMRWnldXH1thlgtivMj6tKPs7KGF1NBx5oJGY5xjucDcz+37lvd2L+aBmQlWwusGSXhHz/kR4NVQraxu6WQGeD4ULjgU8VRQUFBQUFhPuCI0vpJ9kKb53Y3OhNiSPuu1KnDwcWB6giQzGCL5PPosFbt9N9ISaSXo+voX+egGsPNqqrHjQ8xN1XSS0d7B5Xml48PMt6xVgECIJHhimCHvvdddmCKkSFTk2q4A21qu1ipcECjiqaCgoKBwacPzmO9Yr/l5eUaLQphLBdEYC38aNRquL0WlDKTblquAa8HICZLOzj5/DSIxIJ5ivubpI8DVN53f/M8FhsG81J5NJHi63rr4KTcHHH2GxLR7k/+66wKzE8CRZ4DrXrT+FeYdPcDQidbpAPUq59/RwipKYd2hiKeCgoKCwqWLQo5dd+amBaExWPW9eTuLdS5FJDPMaZwYoV1PqUDLokCARNR11m7+3ox6jbmj8dRy4q3rQLKNqmepsLxd58WCrq8eLp8e53E0k075ufZunufszJm7O50t0u3saT90nA8GUkUuFRiG37KzddcnhXWHIp4KCgoKCpcmSgXgwGO+DVAowpBoPss+5p5Hhe1Sg66zS9HQceD4cyTLUgGFxuKg9nMoYqlVSdpWIkjhCHMm6zUSq1Ke1dwNYTSf6Vw9DH8xMDe9ch6qYdJyqlRYf+Kp60wHiMSA8dNs7QkAsRiw+Vpg01ZlpXSRoIingoKCgsKlidHTQD4nOuKIfEkzwEKU7Axw+ijDo5diH/DcPMPF2/cxtO7YLLSJJQCrzuryHVed3ZiGQRLr2K2P2bF98/kTB4GRUwwjazoJXSRGZW9wx8a1r5T5rWfa5kLANHn8/ZtV56INhCKeCgoKCgqXHuo15izGk62JSDIDzE/TGqhVG8eNhG2zyCaWaK1OlgoMw2/adnZV5dE4kGmnF2dni88Vc0AyTUX4xCEW6WQ6+J7nscr86HMM969mYH8h0dHNuS3t9w5QzdaNC58mEAiqsPoGQhFPBQUFBYVLD7ZFAheLt37fMFk9btsXd15rQbVERW2l6uxYnAVC5cLZEU9dZ2vH3DwV32QbVVDXoT2R67LAZ+QE1c1o09ppGnNDG3Vg7BTQ3de6U5FtMzxfq4i80QyQSJ3V4a+Krn4q2SMneP4aNRLBeJK/92xiSoDCFQtFPBUUFBQULh1Im6FgiMU49XrrynDbWrly+nKA57GopVxkCH6lKv1KCZiZZO6mplHB3LEPGD0FzE2yK5AGvxVnOAqUiiurwPEUc2bLpeWEMjdHRTQ3K84D2HGoZ4Bjr0dKQyzBOR55WpzbEFMEHJsFV1t2XdqOBQrnDUU8FRQUFBQ2HrUqK54nRwDLoloXCDKsHIsvV+dycwyXtgrZbjQicVHcU/BD3RKeR8/K+Vng0NPMO4wlmHfYO7D4OGeEvVCpQL9LzwXGTvOYd11DpbNRB8wgQ/DBEIt3PG/lQhldb+0hWioCB54g0W3vpqIMANUyc2kB9jI/3/zLyRGmR+y9gQpnpQzoGtesVmEKwkZ3OVK4oFDEU0FBQUFhY1EqAgefBOanWLkeCLDFYa1KYiXbT4ZFVXshx9+37b401THTBPq3sPK+Wl5cxT0+BJw8RB/ORIpErlwEnnuc67DzKpLDUoE93S2L1kOS8LkuLZNOHASuf9FyxTcSo1l6pbTYeF6iUuL7keji16dGmSPavC85HkBC2L/5/MzdHQcYGwKCQeaiLkW1TLK9kXZQChccingqKCgoKGwcPFGBnZ1mS0ep+Ml8xKkxkh3XoVJmGKxyH9y+XE28lNA3SCI1cpJE2QwAlSLzG7v7We0uVcVQmCR75DjQ0UXFcXqc4fCldlG6zgKdmQmS854lRULRGNfx1FGO2xweb9RJPPdcu5iwui6JZzTeWtGMxBjqz2fPj3jWq1yD6AqWTpGYnwagiOcVC0U8FRQUFBQ2DoUcCVS6Y3k4PRgiAQmG2I3HsUk8VyJIlxJ0g3ZJnb1UKKsVIGvSU3PbblocNSMcAYpZEs5YksroSmqubgDQWFC0lHgCwNbdJLJToySegSBJp+PQr7J/y+LtXZc/rYqNlm7nOFRGHcc/P2s+Fxp/PLf1254LwONmClcsFPFUUFBQUNg41CoMJ6/U7SYaY5W4prUOz64EWxSsGOb6t19cKzSNeajSuufwMyyoWUo6JVwXOPIsi4lOHhYKYZkK5tLQ+GoIhYGrbuDnpkZpTZVqo3ra3r18PQyDCvPsZGul0bF5LKUC8PjDQGHeJ54d3SwIWkvlezgCpDLMQw23OJ5yiarnelbRK1xyUMRTQUFBQWHjoGkAPKpdrQiZK17X1yiDVcvMR5wcIfkMBFgt3TNwdtZFFwKBAFMGrIbvWSkJd7UMnDzC18tFhrWzM8DcDK2Hdl1D9VTTSPqkajh8gr+HY+yGJEPrgSDD/X2DZ56XprGwaXqcSmnzOnke7ZVcj4VNhkEibZgkxuNDnO81N7fOKW2GrgN9W0g8izmSXamW1qrstLRj38qdjRSuCCjiqaCgoKCwcUhmGDovF0lElqJUoFIXWgNpLBdZ0DM/wzzCQIhdgg4/xer4q27YWFITiZJ0TYwC8Kj0BoNU+CZGqU7Gk8DpLFVGyyIxy84CB58A9t1IhXF6jEroqaOCgGoMTyfbgN3XLM599TyG5PNCpQyHWTUeDC2eW2cPsHknMHSMBDASI0mulLj2nkdS2zx2OEriPDXGSv21dGLq6iWJPnWEx6sbfLgIBLj/LbvWYaEVLmUo4qmgoKCgsBhLTcRTbReu2CMcYc7hUdHTXJqeuy7JkhkA+javLY/w9FHaFHX1+3ZCkShzJqfHgOGTJGYXG7ZFwnn0OcCqMaRs1Rl2b9T4bylP4u15LOAJhmgwn5vjnbqUp7VSeSvHCwR4XqRi6ohzdvBJ4NoXsCe7bQHHDwLjw9yPptGbM5kiSezq8+eoG8DOfQyFTwyzwl43gG17aNd07Dk+JCyFpvPamBwlcTyTr6qmsTCsrYudp2oVnuO2To6v+qVf8VDEU0FBQUHBR3YWOHaAhMdzSYTCEaBnENix98L0Rd+8k8Rp7DRDsAAJUiIJbN/L3uxnQrnI3MhUC/JiGCRzU6PA5u2t8wsvBGxxTONDJMVzUyRcTo6KZSDIEHm5KHJRA1R4Y4Lkx5IAdMCx+H44BKTSDNWnOxbnxRom8zenRkmy43sYuj99FEi1k9gBJPS5OeDQUyS3za0jdYPqcne/yOvUuXYTI7wWVip2CgRZPGVbazf0jyf4o/C8gyKeCgoKCgpEqUDFrFom2VtkIn6Ev+/Zv/bxPI+Kluex+9BKRT6GAey8mrmY2Vm/cKW9a+Wio6Wo10QRTQtVDqDymZ3lNheDeLoOVcKh41QnJVksFUiuO3qZE2nVqYKWSsxjtRyqk2bcn3cpz+Pq28xcS89rvS6axhD59BjVzPFhqojNhUm6ThI6LcLjrXqWa9riB4xgkJ+TxVpLUa9zmwvxUKJwxUERTwUFBQUFYnJkdRPxyWFg05a1hd1nJ2kWnp0D4HKMvs0klysR0Hhy8di2zZCvJuawWhhWF+qcbbdW3Ryb25zJMuhMkIU9hrl6+H9+hm0tMx0kodCYK1mvMnRdKZFMmiYQigK1mug7r5Ecy5QDDbRCisa5T0MHnFX2q+tAw6JJ/cQQVVDXZfen5uKtWBKYnSYhPpNKmWpn/mhubnkrTtehN+euay7f9qUKFxWKeCooKCgokEBMj7MoZyUT8XyWeZdnIp4TIwzlOja31Q2qpgeeoG/n7v2rWxzZNtW4sdMkaJpOK6X+LQwDt5pfIk1yVMy1brlYyFFBPVPl9Uoo5EjMZyZJPBNphqU7e1sT4pkJAEKZbNS4jWszhcAMkMBWKsy3NEwWQuka92NbHMNxqHaGwtyP6wBdm4DRE8z/rFY4l0CIBUqGyXC+ZTHkPjPBbWQlet9mnxxKBdNdwVOzGaZJ79EDT/AaSQrCXK9xvdu711Y9r6AARTwVFBQUFADfRHy1FpSadmaiUquyE5GuA229/uuhMJW70VO0/WllfA74Ierh41QIZcFNbp72QvUqc0KXwjCAwW2sas/NkajqBslbYZ6kbNO2cytemZ30UxCiom/8zARJ2NZdwLa9y8ct5kn6Zif5XiTGeQSDWDBJt0XuZsBkakFXL4+vXmOnIN3gmvdvJUns3gQMbAWOPAWcOMw1NXSG38NRPjRMj7O4qr2LpD2a4PrNTXFeg9v57/w0EE3yYSIQFF6eiZUV4c5eWiaNnBTpEDbnvHUP1/1i5c0qXPZQxFNBQUFBgQQolqBvZCtVUJqIn8kLc36GxTLNFdMSwZAoVhldmXjOTfsh6mBTHmMoTPXv1DGgvad1YUp3P4nx6SNUJuFxzok0q7M7e1afeys06iy2shokfhKxhMh9Pcrq8mSGpDkYpnXT0DFgcoyKryeIZr0OBESYvlzkZ6SfZVsXCXNnH9epUuKxdPTQQql3gH3cTx/z929Z/CmX6Ofp2Fy33Z0cM5EigU1m+Hd+HpiKkMDPTNJa6fgBkuGOXpLLwa3LUy0k2ruYH1oucV+h8MZ7oypcdlDEU0FBQUHBNxGfmaTq1uybKU3EU21n7o/eqInxVlAWQxGfVLVSH6fH+W+wRfFMIAiMHgUee5DENSOqtWX4WNMY8u3s4XxllXW6/dzzD+enqQp29S5/LxIDpieAHz1AhdV1qD7m55jHGUuQ8BkG17RR5+/BEMcs5hkm7+gCjAC3T6RJ5jyPf2c6BLFNszBpckQY4gM4dZjpCJ7HMWanWAE/fIwqae8gCXN2lus5P0OlNhjij27wJ58FymUqsjPjwP5bgIFtrddD0za+Gt1qcC0AKtBrLUBTuCSgiKeCgoKCAtHVx1Ds8AlAL7AaWpqIxxJU3M5UuWyYJEIrwbY41koh73Jpubk5QLVu/DQwM0XS2qgDQ0epfu69drFKGwi2VlzPBbUq1cpWIejcHIlarUq1tVwApiepBm7fS9KYnSFBDUWAmKhY7+oHrrqR1ki1Bsdv6+CcU20rz6WQZRFSuoOk1baBge1ASKxXvYaFfuhjp0RhkcM1LxZY6NXZwwKxuWkeUyHL/vGFeaBeIaGrlZkOEb3E7I4ch6H+8dO8TuD5RWsD21Rx02UCRTwVFBQUFAjdAHZdDaTbWCAkTcS372X4dS09tNPtVOwqJb8yW8J1SNJ27Fv82tw0lcNKiZXYrsd9SbJXLTP87jisxm7vIklzbOZQHgFw7QtXz089V+h6ayJtW1Qf8znmctbKJIKFHLnf4aeAa26lMpudI3H2PKp1W3cD19569j3kXZdjAxzPdfxQt+eS3JYKJGAjJ5gXmxYV6cj5vdjrVcB2gHKWDwrxJFVDz2Wu5tgQcOBJ4OYX0w6rkOPco7HFbS4vJlyXZvinDvO6ausEoLGi/uizvEb2XHdhrgGFdYUingoKCgoKPnSDZKl702IT8bUikQI2bQWOHyJRjCc4Rq1KhbCj21cjbRs4+gyJDkDCJE3XXRfYvIMKa26eSqFU4GRVvW6QbB1+mgpYZx8VvUz7udsmVUokkrrOY0m1UYFtTj/wXGBqnPOeHidpi0Zp8F6tAvCYw3nkKeBlP0vlsSHUyEKO63O2pBMgKdR1kt5qmWtTLlJprdeZL+qBc6rXaIMkc0w9QdrLRaqwjssqehmmNgygIQqGAiFg9DQN/KcnuC+Ar3f2ANv3kYReTBSywOhJ8WDTVMiUSPO8jA9RST6XPF6FiwpFPBUUFBQUlmOpifjZYOseEr+xIRIXeCQtfYNUTyXZGT3F0GlzIVEiRdI5coLENdPOKvlalaRp03YqXq5LdXR2SlRmh0iQho4B6QzD0R7oX9nefWaiJAuFpoUFUb0mQuBCWZsSpuyaRmP20VO0fLIaJGt2g8Q4GOS8DZPk9LEHWSCU7uAcIpFzL8jJdJBMZme5vrlZhsk10atd0wFDEz3QTRLUcpHH4nokzIUsVVrPpY9oMOzbO+kGxwgEgakRKqqpDF/3ZHrDcZLca266sLmV1TJQyHO/0TjVWttqXT0fDPFcz4wr4nkZQBFPBQUFBYX1hSF6fPdvIdFxhYF8oilMazVIHMPRxYVEhgls2UXyd/wA80yLeSp9gQBQLZFMVcvCdzRJ0pTMAJlOksejz1BZ7eilahtLsDd57wqV9PUaQ8uzE9y2UQey02xrOXyChM80+XshS3VV0zinaIJEslwSHZpCfpGP63AMyyJRdW3g6ptZKHQuME2mQhx8gurf9ARD37pGctjVx7kcew6AcCAIBEkQc/OsYnccknFp9+R5DMU3RO6o3eBx1WtMH6iUeK5kdD0YYfi9dxPP73rDtngOx4e5dprG814pkUyvhECQ+a8KlzwU8VRQUFBQuDCQxuetUK2QWLQqpvFcko1onK00K0XmNLZ1kfiNnPCN003DDxmPD5FQyTaQmXZWi+fngSNPk4i1qsqfHifp7OyjWjgrCF2qnQRX2hpNj1Md3HstAI25qVadZDmkM8wuK9Idl2SwUReh8Br/dh1hr6SR0FVKnEMssTaFOd1OP9IDT/Lz89Mk9W2dJPb1GseJxEjgk2mfwMfiPD4N/LtRB8o28z0zbSLcXufnazWS6VTGT23wXJL+uTxTKdabeHoe8zhPH+X6d/dRga1XgclRrlVXDx0DlsJuLG4NqnDJQhFPBQUFBYWLDw0rG9IXcj7pSaVZ7FSvkngkMwypOg5JbSEnuiPptIIyAyR4NWHEHhN2StNjLAZaSjw9jyHzUIRq2/wMEIn7FdLhCNVCTWOIWdO436LoKJSd4RjhiN9pKBBgpXmxSHI9PwfEYgzDH32OFdieR1WvXOR+YglWZ2/aunpO7cwEiaTnkJTXqiS2+XlRjd5LtdcWimu5SJKfzHCN4ilxrDbXxHWpCodjvn3T2GlA85g/2axGazrXZm6aebU9m0hs27taOxGcLQpZPjwszeMMRUi2n/kRVd6+zYs/J/NnVZj9soAingoKCgoKFx/RBAljuQAEOxe/V8yTNMUSJCBmgGRjfJgemfWaH+4OBEmennuMhEj2lfdcFkjFkv7+5qZJuJoLexzH71deLVPBbK7G13Qqqo5DclXMMeSemwMSCWA+LKraq9zeNLmvirD7SSRJnuNpktOJEeB7/0H7pHjKV2fLRbYZrVVpW9XKbsq2gZNHeLyJDP/NdPgeoYUc0N7B0PmBxzimVCs1sY9giGkHIVFAND3Ocfo38zXHIZnMzi4nk/Uq+7vn56mInjzE9Um3AXuu9Y/lXJGb43G0anmaSFF1nhjm+Yknef7LRa715h0iH1fhUocingoKCgoK6wOrQfJgWVT9VjNuNwyGag88QfLQ7MPZaJAAtnX64ee2LtF2Mst8SRmqN2oMw9aqJE3hiOjo0wBOHmYYXPZ3lwU2S+cRFF2RNB2AttguyHNZuGKYDOVODFN1TKQZunY9qnCuTTLmOEwNaIj5R+JAtQZUxvgZw+R8O7oXpxmk2qigjpygWX2rlID8PI+/rZPHNznCOYXFjyTP7T1c22icnynlSS6jUaBvG1MQoNHWKhqjBVMqw/Xt2cTzMTXOXE5Jwh2buauVEvfV1kkiaBi+AnrdC8+vk5Ftr9x4QNM4t1JB5KzO8fVojDZKm7aeu5OBwkWFIp4KCgoKCuePyRHg1FHf0kfTqFJt3U3C0Aq9g1Qvh48DU3k/B9I0qNp1LAmdRmIkNtMTzO8sF0jAbMu3FhofJgFLpkm6nn2UYW1dZ3HRUiIsux099xhJlmmSNEq1r1Im0UmkOL5nk1xWyyRBrkPyU6sCUZPH43ksdOrs85VL22Y+phmksigtipoRjnLOc1PLiafV8ElvqUBym5snAct00bbKDHBNsrPA3uuALbtJFkM/4jFt2rr4+K0GCfy2PTxP8kEhN0fym8+SxEeiPPZ8lnMPhqlymgGuX0c3iersJPdxrghHBNF3WxNQq0Flc+91fopCNK6M4y8zKOKpoKCgoHB2sG0qYIZJojY1Dhx8kmShXahgjsNuOAef5N+tioxcEQ6X7SBrNeZBxuIsXsnOMH9QkhDPZah6coQFMY7DjjyGTmJVrzOkHE9QIfU8EuFjB9itZyUC3NXHeUwMkdAWcySatQrn1NFNUlWvAekuYG4SsGwSJUMnYQ4EmUdZLgj7Ic+vBPc8ElTHAXSXxM1xWs/FDJIMNiM/Dxx+hiH+oweYyymLqwJBrsGC8hkGtu5kOD0QBAa2kiwefEKkB6R5zsaHaHcVCDI3NjfH+W8VPe237aVZOzSqnCXR3jMj7KXau31lWNNJQrOz50c82zqpfBdyy4vO6iKVobuf+1qtw5PCJQ1FPBUUFBQU1oZaxSd+Mpze2UcVzvOYtyhhGCQps5MMH7d3++qf1SDxGR8modANvt+/2c8TNIPMUxw+QaIWCLKIZHaKRCyZJjm0GpxLvULSpYF/l0ucn2MJ/8dI69xBgGPvvY55gyMnxHEO+8c4JghtWxfJZzACJMJMB9A02hAZOolyow4M7qDvZ6ngH7MR4Ocdm8ccCDK/sii8KuNJkinb8o3qASqph54iuZ8YAXIzDO8HAkxJCIVJFA3htXnDi2nZ1Jwu0NXHh4SRk/T+lD3bO7rZclMWRuXngENPAOYtDMM36lRp46JjVW6O++no5jE3Y6VCsbNBJEaf18NPc37xJElttcRj3byD+1a4rKGIp4KCgoLCmVEpAwceJ/GLifCm1QCe+iFJwrY9fsjbalA1rNdJ/MaG2e0m1UYy89iDwInDHDcaY7i0XGSI+aob+Pe8KASyLeZEWha3HR/muGaQhDUYFP3hXeGtaZCMRYStUSLNuYWE/2RzLmkzQmGSrYFtVAsf+z6JViQOxOOcu+MwLcA02dPeczlmbg4oi4KnQo4E0apz/onkYlJZzHF9ZqcAfcYPExdyPM5UZjG5mp30w9jTo361t1RU63W25ExlgHQS6O5t3dKyvYuKYiELPP4Q1c3mVAbDIDGeHmcO7f5bgGtvIYGeGiNZthrA5p0MszeHwj2Px5teBxWybzPTHMaGuK6eC8RSwK5BdtRSeZyXPRTxVFBQUHi+wnV5c5+fJiEMR6k8JtPLycvQMRLD7j7e/B2HJEZa4NQqJAbBEH+v14QK5tDf8sATwPUvAp58BHjsISqErkfPTGl+Do2h+UCA1dPhKMnczCQVTc3w8zpHT1Ph9DzOHR7JqN3g/PsGfauljl7mRLbqub4UoTAJYiQKbNnJz5QKzMmslEX7zBqPOxKlemjbDGcDvvLnAWhUgaLL8TSNIfR0G4lruUQyGIly21qVamQkttjPc26aoe65KWGHlOS61ask9fCYDtBuim5NqxyjJqrzbZv7boVkmsptpUSSvnknf8ol4KlHRPX+kmsjO8N5reTZerbo6OF1WK/yeEJhRTivICjiqaCgoPB8hG0BR5+lGuk6VLxsCwgdZ0hzyy4/TFwtU9VMivaJrkuyOTPBz8mQdylPZS6aYE6lbpA8mAEqfD/8LrsKWQ3AAgDPN1k/eRjo2sS5NGpU8OammTcYTQAdW0m+CqK4BzXANlmpbVskdY4HwGXoOJ+lKhdL8HOpTOt2i0vheTRZj8SoJo6d8sPhjTqJl2xFmZ8nKZUEWTf4e7Us1lP0Pi8X+bmtu9l5aHaS22ZnSI4BKrI7rhLV45N+dyOrwVxZgOF6gCpvwOQ6BGo8T6EI17MZ0qPTMP1z6Tg8FmOF279h8nPukhzUWJyWSYee4vrIdpn1Gi2rdu9fbEN1vtC0tZ0vhcsOingqKCgoPB9x+ijzJ9s6F5uEl4vsHhOOUjUESC7qVd8TslwgmQuG/BBsISeKjhwSs3qNZKhSAjr7mYd48HESSWgMQUvy49gc4/CTwhi+h+8VsgzhWgGSUU1nR6BQmJ9p1KgexpPcZ60sjNDjfF/ThfVSmaRv5CRD5KsZtHsu9+G5wOGnSK5Dor96qp0h/+kx7tcU5A8ej7dU8G2XXMe3YtINqrjX3sLQej5LdbCjm58DuA8zQDKam/fnk0gxv9EwWNwjibzsy67role8xfkkUpzH5Air/x2H++wbZGFOOMxxatXW1kflIs9PK4WxvZuq9cwklV7PA9o7qSjHV0hhWG/YFjA3Q6XesXm87d1Mw1C4LKCIp4KCgsLzDbJIKJ7ySafrAIU8UMwKI+8aEL6dtj66QUJl20DQAPI5jtGoiwKXCBAok1SaJglBKEI1MpGmNY+uURFt1KhgStJpN0jEyiXRVlKEg6fHha1RmESwmAdcCN/NEFAHt3U9huBTbSR5Hd2cUz3Pz8biwOZdJChHn2V4esdVK6+NzBv94bdJ3HTdTzsIR1j8FIyQ3HngsQaCJHKNKvuJW6LfuWMDEY+kr1TkMYajvuWSGeSP5zEVYH6aa++6griHWYkfTwHTJaYnGAaPLxAQ7TqFpZFjs5hr+Djw2MNUTQ2TrTAzXXxQmJ0A9t5AYj8+BIT6/FzNeo3vD5/gGj71A1b6921eTOpiCf5s2bmeV+TaUCnz4WR2mn/rOoloLEklubv/4s9J4ayhiKeCgoLC8w0yZ1Hm5NkiZzIn1EjXZU6nYTKEOridYfb8vMi9q5AIGkJtrJaYo1kuApUKlcdaFdix11dUrQZD4boJwBO5iB7JrtVg2qAuKrMbNaBhcdxwhGHyRoPbB0OiN7rGtpHhCNtRukIJjSX8KntdpA+095CYVitUQLs3kYi2gm2zsGV6jHNNZvxc1UqZhL1nwA+Jh6N8327wswa4T8Pg/islFg0ZBvDMo1yn0ZNUDNNtDKnn5rm2js31qJSA//gy0xU2bQWuvgl4aFZUyYvUhIqo2td0rtk20UbyEUGYg0HOeXwYmBc2R67DQp2tu4VJ/BjD444LDB3lHDp66K/qusCx5zjPq29c3zD6ucB1gCPPUG3t6PEfXDyPZP3w0zwXqczGzlPhjFDEU0FBQeFSh+eRNLkif1G2fKzXqGRVK7wRp9v8ntyrjifGlEUi4yMkGMm0UDZFdXo4Apw4RMVrYDtD39lZketYI6msVjhOW5dQPgVxSmdI0CQ0MARt10kQy0Wh3tW5r2KB3X8MkUMaCgJ1ww9hB0J8PRIluczNAVqARCOWoOo4N8WqcTPANXJdkrpnfkgyvGUXK8AnR/iZVus0M0nilsiQnDfqwqoIXBtpsRQJA0Yfj9+2fCN7x6USa9sirB1grqqmUZEMh6hUHj/AYzIMGua39QCVAte4VgYmRoHTR6gsdvXRIun4cySHCAoLJJtk66obmAYwMcT3I1G/paTrsGf89DgJ2+QIsHk7sP9WWkZNjgJjJ3mcu69l0ZGstI8lScCHjgF7rz/363c9kJ0j0W/rWpyfqmlU5adGWfWviOclD0U8FRQUFC4mbIuFNnNTvNnHElQe0+2tbXBmJhkWzc6KtocxKlKBAHDqCEkZNBLJQICh2V3XrN7NJZZg8UylROJTmGdIWt7QZf5fqo37HR9mO8S915MM1atUJQtZKpDpNj8cW8hyTCMgLH80KnLzM8DWXexupGsin1GE9N0AFUNdeH8aJslZIEACV6+R6MbiDMPXRQi+ZxPJZCTK/E3Zw13mdwYCHLOYB378AC2cbIuEa2IY2H0d0wCa131iiHPq3kTSpYmQuaaRzEVFIZFhMI0Aol+4Iz0sXcABSa0RIDG1Gjxew+T5TLYBZojrnp9j6H5+juQ8HCWBd12G3wt5piZEosDLf45q7Pw0jyPTyb7uyQxD47ZFYpyKk7y6omOTaTRZP83z/Kbb6ZkZjfP66uwlWbdt/9rRdY49PcF0hY3MoyzlSaJXuq4jMWBmCthxdevvkcIlA0U8FRQUFC4WpBn49BgJkRnwfRM372QItFmFGx9mgYvjMDSsG1ThnniYJKKrjz/NeXojJznGagpVNAZ09ZNEmkLFi4nCoUadRKl3kPuLJUh+6lW2nOzo5uvT47RJ8jwSyHKJhEnmjEpi6jokjZl2YN/1JDrP/JjEKxxhOD0U5pwcl0RHtr9sCBXRcqiGBkMAPL6XaqM6195Fcjx2ikS6XmEuaCDEz3sOw/b1CqDNcB5WA3juCZLAm36Caw+QdMlcTNviWngaleBIhMSxXBRWQ3GuW99mEsHJEVG0pJNAyspwDSTaAM9ZKEylONUGBAPcl2kAruiAJPufAzzWiWF6i5aLXK8X/7SvwsrK8skRUVwlLJay00xr0CDal4KfDYZJZot5rvHMBK/HiWGS6uwMt+noFv3tRbV8uShycy/hAh5NHKx82FG4ZKGIp4KCgsLFgOcBJw4yJNjRs9irsVKinVAs7oena1Xg5CGSkeaOO8EQCcLMJLdtNvIOhRlynRwDNm1bOY8RALbtJpk49pxfje3YJK3d/SRHgO/QI2/msvAlEmO+oGOTCJWLJFabd3Cs9m6qd6YJ7OjzK9WvfQHJ1tFn/PQBxybhCYb5t2kKBRiAFWcYXtfZ2Sie9C2dRk8xLzUYEUqnw6p22+b6OjZQqYr2kiLnMRQmqW7UWdR09FmuYTHPc3PwSarRcRG+r5RYdBOKUEHNzwuvzRBVRTPAH90EwmKfrgtA59q5jkhtAOchcyUNYb0UDHL/8TRQynEbCOIZCIniq3kS1YkRzt8SqRBtnfzbMH0vUFkBHxJ5tVaDx1oqMA3BtoCDT5HwF3LsNpVqJ6k0AzyHkyM89vZu4RXafCFsEKIJv5io+bsjUSkzF/lMaSYKGw5FPBUUFBTWG55HwiJzMgNBhgqnJ3iTX3rjjMapZI4PUYnUdapo5aIwVm+CY3PbcJQENLOkdWEkyhBuIbs68Ww0GCru7KXy5Tr8PZXxWxV6LvPqEkmSPzNAUlIusi3k7DRDzzJXtF5lKHfPtVQSZZegYp7V0rILTnaW8+4Z4PjZGQAeyZUOkoiGqPzWTSCdZtg608kK8USapHN+hnOIp6lqVsok78EgUG/4BuuuQ+shmSMaCJLcNurA8EkS0FSGRTiODcAlsY+KDk2OQ4JrBkn8t+zkZ7NC6WzUuVaW7bfsBABbF+kL4vVaxVc/ATG2K1wDNP/akbAtEq5KiccxclLkeAp1L5ZgqkFnL3+vlpkb27B5LJ7rV9c36tx/72a+lp0l+QwEuV6VMpXdcJTHOzPp21HpOvDs41RCewf8tqYXE5kOUZ0/yTatzQSzkONxqKr2ywKKeCooKCisJ2YngZFTzN1zXSplvQN+r/GlRFEimgAKBWFjFBXdeLBY0QRITFxQfavXVw4tSgJTKZEMeq7vRTl2mrmWtbIIp8dJvjLtJDCazs+dPsowenc/u9bEksI03uRxaBo/ZzewQD4Ng8crSWduDnj2MRaxlAt+hXckDvQmgBv/G187/DTD9/1bgJgI8deqTEtwBcmSHqPVMkPi8EiqsjMs9qmIav1gmMSkZpPYuS6tiCIRrl0hy/NiiRaWsYRPZm0LCEWBao3vBcMkro5D4r1zH9tJzk5xPpOjfE83Abe+uF+55wpCKU32ba6HVLB1gwVIjTqPwxZ93DWRs+t5VFerZe6vZ5NPujyXhOvw0yTRbZ3iMzrD6VbdLyJzhBl8OMxxnMepNmfaeU4SKe6zmOe1EIow/D49xut26x6e3uHjfHDYcy3ncjFhmsDua4BDNjAzLlRm0aAgHKWdklTpFS5pKOKpoKBw6cEWZGJumqHCWILhadnN5VLF5AjDmI5NImMYvMEffZY3c8dZJQdN5OQtEDizdftDaVBeyPqVy82wGiRBwTArp8eGOAdpV2Rb/GyyzQ/VZjqY7zl0nHZIqQwwcoLz3bKTIe5KGTh5BDh9mApjpp2kqKOHJBgQXXpKfB0QFjjPsQjKsen/6bmAIXINjz7L+XT20LLn4JNch55NVEhnxknEg2ESj6IoMMnP87gTKc4Xrk8wG6JHeigMuJYgxeCxNEQP+UZVFP6USLKTKaqnIydFJyGNBKxe47wdm2HvSAzYspvKZzIjLKZyzDPVNOahWpYIl0PMy+FnU23cZm5aGNHXeV42bWHR0+w09zs76TsK9AzyM5UyW3L2b/GVPk3nmPMzwPApVqp39JDY2pbv7wn47UuDQXFuxOuFHP8ORYDeTVRJi3kqo3NTTNfYebXfgz2e4vjHDvAakef5YiGRYqrG7CTX0bZFb/uelavZZctTGaJv9Z1RuKhQxFNBQeHSQr1GFWdqjH8bJmCdptqyZTdzCC/FG4ds+6hpi3tWB4LMnxsfIjGqVVrfsMtF3kBlwUimg+SjXPTVQ4Djp9uozi0t9nBdhug7exgaPnWEZKG7n2RoYhR45kckPT0DJBfpDvZf376POZvlArdNpID+bSR6Jw9T2bMtQDP9vu61KtW4ngHfaL5a8SuPc/N+FXy6ne95MZLIapkE8uCTzM0LR0RhjQ4ceZqhXl1vUnw9jiNbTNoNYcIeYL5lbg6AJgzZhReo4/nr4liApQvCLlTdQo4PCNUK95fPUl0NCZUzEPB7p9sN/mRnfdIVjTN0LouG4glaF+k6j9HTaJ8UT5FMy/zJ4eNcr3T7Yj/UYIiE3BYFUbMTQECQ7s37Fl8HEokU19HbRnKaauP6G4bfRSo/L86JzmNxhf8pPM4pEOQc27tJ0k4d4UPJ/ptFK84mpDL8bs5N0xt06fW3NMeyUSc5rld5nLJ1aXMbz7NBKEwC3r/lzNvm5vgwNT/jOwu0d/H/IRuRLqAAQBFPBQWFC41iTtzQHYYw2zpWt/o5fpDV3J1LCnBKBSp40djyvMdzRb0muuXogkScR2HC/AzzIDt7lr9nBkgQcqIrkBlYvAalPAll36BPquNJ3thPHBbG30kRPhYdg7buFvY8476aWq+S0PRuBp78gWhnaXHtykUSTV0XoWjRjWh6lER0cDtVr8kRABrQPcCweiHrF6YEQyRaxTyJXUBURs9M8rg9AB1dvjJdLvJ440lhJ6STvJULnFcwSKI1M+GHTeNJFgt1dFO1qxRJYKtl30fTtf2+5VLBymdFoY7w0ASARFjkRLrsbqQbHK9S4jrousi9Hef513TeFU0DcDXfo9MI8F/XoxJsN/hwEU9SObZqXLNoguF0aXLvOsyPbesm0Uls80nr7BQfHsoFkqhSnusVDJPQF7NAOQ8M7iTxlJ6cS1tZGoafy6mJLkvhiLB6EteltMnSDRLwQJRzkOqorJLXDa5Do84CrKWk0/NI4FyH1zrA63FqnIVZlsU16dnEh4jZKeDEAdEkoO6rqck2YHAbj7u7v3Wx0PkiPw889xgV+FQbf6w6SXMhB1xzkyKfGwRFPBUUFC4MbIskcmJE9NkWeWupNobv2ruWf6YoSEC6RQFOPOm3euzsPT/Vs1Zl95iJUV+JSbeT6LUijmuBJUK6rXpcAyQU6Xa2MJyZFGRBhL7DUWDHvsVKKcDcOsNkTubsBIldUIRct+72b/qFLBANcIx0O0nnyYNAJEFCURPqYiJDwqtpJF8Z8RCQnePn0u0iHUAYr5cLDCeXi1z/QMgnDycO+tXc8EicDJNkbegYsGs/Q9tWg4QQIKmZGCbZd12GyV3bV7/KJY7ft5nzKBW4L0+E0S1LVDaLynGzTRTVVLguVoPbyDB8oy5IYEyYu1t+R6NQmMdUyPN8bN1Fe6NqFbDLomd7g+qjbogisQCr5ms1pgJE4yTT7QO+2qcZtHCShUPt3Vw3WRSmG1RlN23hA5bn8dwGwwxtF3MkhFFh1xQM8d9DT3N9tuxcfI1VKySIoTC/U9Uyr5dinq/ZTddlSPR0j8SYKuHYwPhpPszVavyMZXHO0l4L8LsDzU9zf/ksSW44zIK57IyvYs5MkNyl24XHLHguRk/xs7rOAiHHoXo8P8OcUfkgZtskiEsfzs4GngecPsb16urz/18RigBdEf4/Zui4n/6gcFGhiKeCgsKFwfFD/J9/KuMX1DgOb1IHnwSuvXV5zmapsHoBTixBAtWo+yHps0W9Bhx8HJiaoBqVbvfbH+bmgL3XnVvhhCEImOcuLwgCxA0/Alx1I4ninDABj8ZJGKRCtWhMgwSzbzNVGk9UZcdTvqF5xxKifPQ5EppQmOoyIIibRwLqeaK/ueb3GTd0rqskOTPjDK3HUySoFUGYCnmSk2pZVGiLqm1dI8m96mqu58gpVqCn20T4uArEDRKBSonkzhFdfgwDC35DZoDnf+QUq+XrNZI2WQhUFmFowxQm9YZPwoKhxYSsp19UO4cAzSPpCcew4PXY3kWyWK3w4aNYJHkql0SRjstQOTQRTq8Cpk2/UMMUxUpRIN3JcScEibQbPsHSdcDtIgF3XZ7zUISm9YbJnEqzQPLuOMJM3+G6m4ZQEkd4bZQKwOES39+2V1SrO7yWtu7mNul2ro8ZYAtU2dkIHte6ViHJlEb8gQALnQa38/dEkmkTjRr9PV2Xxz41yutBN6i+BoMsbHvw6zyeXfv9aEEixfN26Enua8fVDN1XiiS7mlDt7QaPc2yIBLBnE69b+WBimHwQ6x9s/d1YDeUS/z+TyrQmlqkMz0Upf/ZjK5w3FPFUUFBYf5SKwOSwMN5uykM0hEH21ChDuudaLNSq6GatmBwh6ZQ3f4A36s4Ib1anDi9uG7hWyGKbUmH5zcx1SdY27/T9Edu71z72Qv5gniQQoCJVzFOVlH8HhN1Ruk10rhFqneMI83WNalIh54fNwzGel9kJKpW1CvdRLPgG4vl5oTZqfrW9bZOE6CBJqxSofoWjJCETI8C1t1BFPn2EHpWlIhCO0+qoURdG644wR49yfEfj3KNx7sMWBVm65nc0MoLMQZRV6a5HMmuIULHrAllhKeXYwnw+wjV0bH89yiVW1wcMhrWlWqobvgm8aXLdGiWSt1JBkHcb0APMi50cZg5vJCYsrMQx6CZfT6SAbmF51N3nX3ehCMlPJEbunZ3j69GmMHggTnIYjlFNPPqs7ypQrXC8LTu55r2DDG9v2cXv1tyMaPvZAKwqr5FonCqjGSAB3Xk1cNvti8PO9Rq/IzPjVHqbz2upwO9wexcwM8Z516uLv+e6zjHMAK/PUl48LOn+cefnqFCHI8x5nZngfqIx7su2eN3MTbEl6NmExW2hfCdCrd8PhAA769teKVxUKOKpoKCw/ijM88aTWuFmEU3wRrNtr993HCAxCIZJfsLR5Z8rF0nYzlXtdB0Sokh0cb9niWSb8JWcPfs80kiM3pZHnyVhiadEmLvCsHVbN1W4s4Vt0dbo9DGGhKslADoQMIWiGGFoVze5Lrk5qlbFrE+CTVOEjh2SVUCExaskg/MzfM8wxDghQTKKokpbKIae6/dAlyFrq85j13Tu2/Oo0FZK3M+1L6C6NHzSJ6muzc/qOudsmiQjjQbD3LYN5GcFMfD83EVX/A7NN243A7zWQmG/OKfR8JVMS6iNjQb3oWv8V9M5945uv92oERDnTOTG2g3uE65fxBSOiPUEz+vhp0gCowmgVuL5TqSZDuHYDEsHwpzz/DQJYTDM8VJprpHjiv71Il2hXuX8o3G+rhu8Hs0ACdvcFK/V7j6RviAe4jp6WDgzfILfn75BEnN5/uJxHo/MB3ZsKo1Lv2uhMLDvOl7Lh59moVpcXEftXTy/pTxTBlyXBL+ZeHou17MhKvelFZWEJpRkz+P8R05wn32bm76XERL1mQngxCHg+heunMayFGaQ+7fqgNHi/yPnG8pXOC8o4qmgoLD+kF6GK+VPGQZvegu2MwLxFJXIkZNAR2DxzaosfBubC3DOFpa1epjeEEqXzNc8Wwxu5xijp5jH5nkkGf2bgW17WpPp1eB5tK45+ARVSqnATU+Q5GXaGWZ1HJK7mQmu69ZdJAKOw+10Q3hIzpJwDWyjhVCpRPW5WuG4kSjVoHpN3JxN/m43ALii0jsi8h5FqN4WqmO9JkzWA8zxu/omkrO+QaYv5OewUFWdneE5jMV9n0zLEu0xbYbhax5D5AvqoyAvqQwV03yOOZnROI8nGhetRGuiiKjg90/XdZ7T+WkqapEoVdxYimHiE88BkHZDURFiFqQaDqvjjQCV0XiS7+fnhb+nxQeVbXuA8CaGqfM5klddJ1H1XP7U6/RPbWsHBrYzxJxs43oFgyJ31aMSq+sks/B4HkyTc8+0iyKzMjBd91tF6gZD0zv3kQhPjvLBI5lhIc3RA1TDQ4Jch2M8Fttm96qrblhM7OJJ4LoXcIxwhPOMREURVhNx1A2e+2aYAZI/mY4BLE5BsS1+Lhji97GY55yXPgxqGl/Pzgqf2RVScJYiFucD6viweMho+v+F53Gs7n4eo8JFhyKeCgoK649wxC+caVWxWi3zJrL0PU2jrY9l0bxa03mTtBokRNv3nV9Fu2EKJaTR2tLIdUmWzrXKVhekrmeTTxTDkdU7CK2G/DzDkOUS1zPVJiqyNVagT4yQkKc7qWDpGlAoMm+us5drF0sI2yGDRKwtQ9VKdq/Jz/t9462Gv0Z2kIQ0lQHgiVaUDRIVzxFpmbYfkq7XhGKqk8zGEsDx54Cd15B8bt7pG+PnZknOdMNXYqsljqkDcOCroo4NaAGGiSMRYf8T4fsZ4UM6N0XiLd0JCsJaSVaCe0ItdWzRkQlUCLfvYy5p7yCP4Zkfc4xESuRaJoH5KRJdmfMpw/vlsjCHF2Hl2Sle04kU162Q5VoGgzw2y+L7VoPuBvqQUNw8EtxywSdsuibSNTwSp7Agw1aDKQajJ9nFZ8denyxWK7TKevpHJKeJNNDRSaUyJ0jydS/idxIQqRY6z8fkGBXapQbsukECV69RGW5GNM4xSnmgFqUqL4u5UiK313VIVsOiUj8S4zqWCtwmGgPGhvl+fIXvSCDoX19rhabxIbCQZSFRKuOT3HyWxPRStWV7HkARTwUFhfVHppM5WdlZhv+a/wdfr5Jo9K6gXIYjNBOfG6RqaFm8UXT2Ur05n5uFaQLdmxhCjKeW2ycVc9zX+dqsBIKtq/bPFrk5P9cv3c5jr5YAaIIMeVTRSnkSnmSaamSlRJISbeNaS1VU15kvWCszn3B2SqioIiXAskUhkc7XbUuQNc3/kaRcFyFpz+N8dF0U1zich64Dh58RfcDjJB1JQQA272avdtcVx1IToX6TnwewYHLuwa+0t22gVud4SeEzKXvMH3lOqJ06yVsiyuOpC/spzxG+luJ4egZ4/ENHqebFEiSJZohFWWZTpX2lKrpUen5Vv+ZxW1vkhdYqTFkoZEn6XJeh7UBAuATMcR+uIL+nj4quQrZYO3BtNTAtoFzkPNo7uY9KkevqufwOdfb4pLNcpHXQ9DhJbKpNnBvw+6drwkXB5ANLs7IYDHFOubnWnX86ukl0lz5EhsJ8GDh9TORTpnmslaLIa03TZaGYp1o8P80HTgjHga5+/v8hHAFMcYytIhGuw4vAWGOYXSLVRtV9+AQfTIo5Xhc9m5SP5wZDEU8FBYX1h2EAO69iiHhqVHhkCnLjulQjuldRLs0A319tm3NF7wDzOKfHeXOKiEKGyVGShp5B5py1d4ve4S0q1C8WrIavJErC7biCgJZFFXidZCMoCiniSWHaPS22FwpXvUZvzj3XkmzV6kCqQTJWKQjipzdVc3s+kQyLavdIhGRLhlp1DbBFoZcGEirbokqXm+M6T45yn7pB9bBrE9A3wN+LBR6jY3OARt23JIImPCo9XjPlorCeCvO8dPQK1Vzk6Y2cJMmU+ZOOw3WRLUGr4oHHNEjMR06KNTSpCBayJJkagIkhfiaW5PbSB9RzaexuBACINAPX8ZVDqcxHYoLggtu0d/sEr6sPGB9h9XYwwuuvrYuqpvS6tG3uV3p6BgIco3sTcOAJkjpZmGc3gCPPMM0i1c5jksVTrsuirpDIl5weJQHftG3JA5zGVIjZST40JdL+dd/exf1OjojvS0zkjJZF0VBSpB84QMPx1eSQaAiwbS+JaDDIdQ6GqXSWC9xuxz7uV9pTLX2wLOZ5HlJtZ//9SbUBV2d4Xm1hIB9LKKVzg6GIp4KCwoVBuh3Y/wKGzKfGSC7au0n8unrXXihwrnAdhrsdR6gz4oYTidHS6NQR30JpbpLELJnhjfnEYfr8DWzjjfFCz3UlhKN+z26JYEhUa7v+DVQSH8fmTTYY4vvzM6K7UIWEulwg4SkX6SfaqIrwuUPSGAz6HpuhMPuaezZv/I4l1Efxb6Mq9i1IsWyb2ajTG9IWyt7cDDB+Cki2U1FrWCSUKUEa8/Ocd70urJkMElpN47mTiqzrCf9JkaIRCjGlQBIziLC6tACyGnzN0DkXR3iA1utUdes1hv8BknTP4zauB+iCVDYsFrxFYsLaKcDxNY3pAI7NNQuG+flygeNrHvef1UgGNQ2AsG7qGRCG+iZVy3Q7z3Mg4Cug40M8zpgotkukuZ/8POfb2VQZn5tn0Vkszm0KczyGzl4S5XKRaxQKcS7ZOX4Po3F+Pj/PB61iDpie5DwyHayMl2u99zoS0hnhGQvhMBCO0LkgHOV+XIfEO5Ek0Z+Z4Di9A8B1L/RTEBybxyWbSQTDbBk6O+nv03VJbBt15s/KB6uzhabxHCpcMlDEU0FB4cIhngDie3jzWbCmuQiYEgbRhXlBPEO82W7dzZt+LMEwXKnAsHutzHy/5rzPaoWFIJEYCehGoL2LaQujp6gOaSKHUdoKeaLKu15nwU69RpIRDPH1RJJkxAgwd9IwGJLVwPajibSv2skbuwyzWw2ScE1Uy/ftJmktFYBQUJA0xw/BQ4RzDeEvCZFXmhBqVaPGPMy2TqCjn+Pn5/l3fo6FII0GP+OBBEb6WgIs7HEd34InO0PiGgwD1SLDthCEU5LWUFCoxnVBKHU/1F0pM382GOKcw2GgYgKaK/qXi6KnWJzh2QOP+9Xuuibyj03fZ9QR5B0e1ywY4PHkZhkaB0S1eo2OA55G9bM5vCxTGcIxHtvNL+GaV8skYDJ3UhqzA/QChct5yOr9qHjIkt2aJCH3PJ7vcpHXUTHnuzD0DvABo1FnCkKpAFxzM4lxKMzio9IOUeQHHu+Bx/mwZpjLc6ajQuGulPh5wxD/P2hBAlMZjn/iEM+j63IdYwmq5Wtpj6lw2UARTwUFhQsPaaZ9MTA5yhC/B96ozQBv+ONDvGlec7Pf8zoQ5I2xo2f5jTMS5efGTvOmfCHa+p0J0TgJ8sw4CUhbN2/gkajoP10nQbFrPuELR/haKUfCnUgxVJqbE4U8tlBCayThukkiKjsCOU1kMhIn8UqkaOTdEKH/eJKq9dQ4VT5dFDHJkKasdnYckrX2gN+paX4G+G8/Cdz8Yirhz/xItMMUBEkLAZ4lrHAMnxgbQsmUOaG2DThCEdNE1brr8bPyOO26UIZ1ro+uC0N5Yc8kibqsrjcCgNvgvsNRFg8V87RD2n0d13BiiJ+VvqMufHsi6CTOHV0cu1rxlVBD2FBJBwC7QSIuC5kAkkpZBR8QXqWZdiqRkyN+W83JUaatDO7gwwHEw0Ktyoe7cHOupKiK7+jhPMpFnqdwntXstkVFU3YqCoaolrbq7iPD6gDnXszTckuDX/EuW7t6Lue11rB2Wyf3lZ/300tSbedunaZwyUIRTwUFhSsH0vNS0xYXSoSjvIFNjZGA7ryar5eLVL6WVuxKxBIMDVbK5252f77YugvAzwKPfZ9KlAaSpM07fF/PYELkL5p+9W4gSCKSzPC4p8e5TVsH18M0/baRDZH/6Hl+ZXk4SsJazJFADZ8icdHA1xyHaphVAyBIptXw+6RD4z4adRZ3BEMcu5ADvvvvfoeoF7yC5CU3J/ITLf7UG1Qn5TiuS0I9PU5yF0mIVAHL9/YMCSsoM4SF1pVwOGcjKAhmSBQHCWunakXkVIr1kyH3asknmPEk85IrJa6rLPAKBLmP+TmOF4tyv4WsT25l+D0QYE5nuSgKxXSmJESiTQ89Ysx6jSTu0QdJxHKzQLqDtlzpDm43fJzvReOAa1HdTwqiJu3APFdU0wv7pkqJ3w/TJInVNEYjWvntJtNUlculxSql5zFv+5lHWSBWKfN6DIW4/65eKpQV8bmzsSwyjNYFTgpXFBTxVFBQuHKQmyOxaVVRrum8CU6N8Wa7YB4tqrJbQfaXP59OSecLTWOO26atJM35rG9Zc/gp4ORhKmaz074/pmaI/7trJKvVsj9WRZC7Som5ggBDuyGRF1opkmyFwyRQUuGcHqUFkif8PEtFIJkUPo51FvZYdeG3KULgkTDHtCyeF8PkHEZOkJC1dwE7rvKNxEMRjuvYvrWVpom8Soi8yzpQ99jnPWAAIVHIY9cZYtYbVB+l6irzc5Nppi0Us4KYBwQ59HxP2XrN7/YUEBXruk7PU10n6duxl+StmOePY5EAGyaPoVanP2pIhr7Fmhhh+nd6nihEsvhgoGlAIuMb10+PUUXdsosEMT/P9c3NkaB295EEp9tYUR4K01qpKh6OZL902xJ97j06SITCPLdbd5PcjZwkqZye4L8d3YsrvQNBFn/J4jSJyVHgqR8wvzaeInk3gnxIqBaBKVF1n24Htu/dmEiBwiUNRTwVFBSuHNii002rrkQAyYT0VAwEqWhG41ShWnltlovcJha/oNNeE4IhkpF6jUUYhXn2Tu/ooarZVyQJDUeZnzc7xXC75/GzAZHDGQxTnXRsYHIIgAhhV4SJfEZY28iipHhSFIQIRdAMkMSUCiRZ6XYgCZJS1/XDxjr8vMJGlWREqozZWT9kPHycBLirn2H4ShlwdcCAKGayWcgTCvtWSIbJ96TpezjMMXOzVEOjCX7OsvxK9kCQKp/sO+96gF0VhVUiB7RR45jhoJ/3ahjA3Cz3ef2LGEYfOs6/E03haU3jMWkau0o5jmhbKsLmoTDnZZo8d5pGotiokSCaAZ/0xuNUpm2Ln+/o5rwnhv0c5WSGucexOHDTTwCPP8yHKldYRmVneM63iiKh6TGR6+uRNIaEv6y0QBoWxUFt4qFNqua2zXQTqaKePi7SK3QS2rxwBJBtYW3x0LDzGiq06w3bFnmzNd/bNtrCk/d5ju+e+i4eG38Mf3jbH270VJZBEU8FBYUrBzJ/byXj+kaNN1NZgR0K8+Z57Dm/5aJErUqVrqMHeOIHVHRSbex4kunYGEuW7CxbGObnSXzKBeZZRiI8dssC8mN+1x2rQaLZqJMMxISvpGWyz3i1ItYjSBJi24KwNTiW65FgmgESHdclydMNEtzcHMPosoWkIYipVaeHpm3zNbl/DSROvYPCEzMHjJ5m7mhHDyu+gyER3hdkVRrBy8IY1wN0x1czq1URmq+DZuwugDL3m0qTsFXLXLtUG9DZLdpdzjLP1bFFXmrJH9OxgZojCn0iJFb9gzz3U2M8hkiM5Eueh8kRYarvUe2Ule5ajfO3HT4ImEFR+Q7mQyYzHE+2ypSh/XKJv1dKJKb1Ogmi4wDb9zA8LtMq+jZTfRw+AYyd8kljMCJyJDWS1FoNGDrGHM5ojOucm/MbE0yN+qppYR4IRVlAVCn5xHpqnPmykTiPP9Mu7KoqnCfAcHtbx3I3CNfx/WMbNa5tR8/abcuys+zklZ/zFfFIlAR3656z9/q8AnFi/gT+8Jt/iH89/K/QNR0/vfOncXXX1Rs9rUVQxFNBQeHKQaqNFbL5eVaxN8N1eOPccdXiHs2bd4gioiHRi1xUQkvilp0R5EKYdAMMIe6/lSHLi0VAq2Xg0JMkUl39vFFXKySiY8JCCRrJSSgsjMkN0fbSFpXNHo81KJRf2yaBicVpt5SfZ/FMpoM/R59jCN2UVfQAtKivHMrQdzAkcjOFdZXjApYII8sqeQ0krZ09fvFSPElyPztFEhIQFd2lgvD2bILsGQ/43p62BzQKEO7uYkNhxm5ZAFzuo17huQxF+Hq1LNqEGn5PcenH6bl+KN4MkCCl2klOTx2h2tnezTWbn+F46XafIAbCTZ61jn8ObIvKaTjM/Tg2bZx2XsPwvetRlawK8uY6JFjZWb/KPhBkeP/0MaC3RnIbEx65bZ38ufZWfl6mKFgi9WB8mIVclbLwxhT5l7Uq9xOOkuzOTPrXdLnANIDuTXwtOyfatc7zHMSTXPtgWMwlIdY1tDw9xbZYQS+/Z0aAazp0nKkD2/etThyLeXqYVstU5U1hP1UpsRoe4Hf7eYpCvYAPPPgB3Pej+9BwGjA0A//zpv+J3njvRk9tGRTxVFBQuHJgmsxhO/AklalAgDfTYp5FMH1bl5vSmwFatnT3AzNTPjGbGAECDd7YR07xhidbPh54kmPuv/XMrfcqZaprkpRlOhYT37Vidorh7J5+zmFC5NpVyyTL0q4qEhchT8s3npc2VnZDVLIbJBWhCIlVZy9VrHqFxM8whVWQCVRdkNCW/PzEerXJ0F56ZxoknIYJpGIMr1uWH6I1Akxr8OD37dZ0X52t1ai21asiN1HsVxrZN0MzRGtNp8V7mrCB0oBiiWTMMGlflJvhZxrCiioSJVnKZZnrGQoBluNXaQeC3HZqBKiVgNEhKry6Duy4mmFsXfe9TLNz/u8yNzgWYxpDo8Z5JHtIMmcnuZ+Th6ioptp4TjyX50AXhUmRqJ/ioIs85XCU5z+VET6z+uLjl5BE+uhzwkvXoQpsBkXRXInnvh7nA0CtwhD2zqtIeOv1xUV1gQDnU6uSfHb0LFY1rQavI9lXvhnDJ/jT1kmSKlFbo23Z5AgfSLr7/WPUNN+hYmyIyq/0J32ewHEd3P/U/fij7/wRpspTAICf3P6TuPcn78VVXZcmEVfEU0FB4cpCZy9wlQY89iBw9AjJllSG6lXg5BESzWabFtmTWqqkMxMsvsi086YoiyXkjU7XecM8eYgh6lbFTK5DZWr0lN8qUANDq9v3Ufk7G8zP+B6OoyeBoZNUYeNJUahSIdlMtbOauJAjkYolSNSKOZJvWWndqAPRIEP0Uj2t14UtUoFrIFMSNI2KZLnkh3t1aZUjPBc13V/TYIiflYbnHkQKhA3MjAHRpN+/uyaslLIz3He96ueGug4WyKcmLXogiGWQ+5YkRHqa6uJ8arrfF951Oaf2bu7HsQBHqL+2CLVLdVK2/pSfLxd9M/xGg+eyVgWKD1P5vfYWnxDGYtyurYtjTY6KcWv++liisMu2hdpao12WBp6LyXGew7ZOEtT2Hvphlov8OyRC+Pk5XkNdZ+juNT5MFbNnE68dq0FCnWrjw9PcFFMfpPPDtS9gTunUGM+H/IxsKhCN82GqUiR5TXeI9Xd5DUWFyX9zxKFeY2GcNMRvRlgQ2dVsy2ybbgYrdR2Kxjnf3Pzzinh+7/T3cNd/3oWnJp8CAOxq34V7f/Je/MzOn4F2CXdnUsRTQUHhyoNU+3bvJ/kKBP0q5fFh3vD33bDy56W6Vynz96U94mVnIKvBvLhWxHPoOHNHY0mGxqWpeW6WIfPALWfZL1rY/IyNs6jHE56d4SgQdKka2jbzPWNxXw00g+LfAEnT1BjJnm6yMjoW9wmi9J1s1Km69W3hcebmuL1lkaTJ+UjFUjdE9bMga1VRVOO4PlmsOb55e3aOCmggIDrgCM/Uw0/7+aULLTw94c+5RAG1G36hkSw6kufIdgCI9AKZn+iBhF36lOoGX6tVfMP7coFzQdPr9Rqvm6lxEX43yLWtBs9jIg3sulr0pw/4xDmaIDGcneQc2zr9PNpYksfvOX6XnkKOxC6Z4QPC/DSv2XiSYfnZST+n02qQ8HX0rO5zaVtUCmMJziHTwQeqSIzHW68B45N0SvA80dZyzi8omxqjX2dZPGyEwzxeDVgw4ZfG+bI7Uu8Av3fNqn65KPxyVwj7nsm2zHNFkdgKFfKaeKiThW1XOE5mT+IPv/mH+JdD/wIASIfT+JOX/AnefPObETAufRcBRTwVFBSuLLgu1RMjwBttM8wAydb0BDBYWNljUKpr9Rr/Xlr44HkMhUZiwpjdW0xMa1UWzUSX+BgaQlmdHmNosBXxtBokIZ7L8WUoMdUOHHyKSlc0IaqxQcWsWhHFQA6VylKMc4jEqNKVsuyY41gkMYYomtEDVB+lvVJQGM6bJt9PtZNsHX5GkBOhQMqUSg0ib7TG350G39CFHyY8kkfoJJ2OwxacriNyNkN+qD3d4ZMxW2doXDO4/cJ5AceCJyq0xZqHwoLo2pzPUsiXGmJ+Mjyv6Ys3cIUVkBEgQWzUm96zAQRIpl1x/qsV4LkfUyGcncSCApufJ3E0DG5nGD7BdB0qo4GAINwVYb8UIfHbcTVJ2OSI33UoFCaZcx3hHuCQJI8PMSWkZ1NrJdBq8Jglmc50cGzZTalc4rFoGpXK9m4+SM1NkWgXc0JljYh2o1UemxlgmL9vC68bqw5s2gLsvgbYtH39W1RKq6pCrrWiKW2vwpH13e8lhkK9gA9+/4O494f3LuRx/vaNv433vuy96Ih2nHmASwSKeCooKFxZqFcZAo2tcPMLR3nzlWHqVghFRDV0xTfQNpsUnEaNFdie1xRybkJe5M91raTwJHlzr9d8xcp1mEs6dorhTQ98r6uXNkqORcKaneN86lXuwzABeLzpOkLhkwbv5RLbRjYavurZ3iWMzPO8kZcKQHsnt7VEi8eYKMiRodW2TpKmSkn0ahes0zCEuuj5uZ4A6H8kCJ4DIBIAbE0U/HgklJpLk3jTpDom9xuNc36ywMgM+ibxCx1+IkDfINd97LSv8JaK/n7dZsIqyLIs6pGQamwzHFGEJdtfSsjzrGl++07d9E3ZAwGmUDTqorDIE3muItWjvYvXlKZTNXVywmHAINnv3cTPhoRtVihMVbeti8c3PcGHnFBEKH/i2nvsQV6LfYNcu+YKcTMgCsNEm9FAkIU8pz2/iMhzmbc5sJ3E1Gowdxie34BAuj1ISyrLogXWrS/1+8iv1kt9rbZlK9ki6TqV1Nkpv5ht4Rx6ojK/3Q/7X2Folcd5+7bb8fE7Pn7J5nGuBkU8FRQUrkA0Vzm3wEpveR5zMk8dITmdnfQLQ9o6eZOVRTmpNhK8VgURriBemr78PUD0Wm8sDg2eOgocP0gS0NEjwpcVvyjDdfy2lJ5H0iI78MRTov1n1jdf13USAsuieheOAtEoiYwhqq5rOdFtqME1sy2OazcABIDJMRKXapnHmZvjulSrfsciSeaalUZjwYTT7x8uzeNlT3d4ImQL7sOxOLYZpCoNl8fqOPysNHnXTZ8EtnUCsxP+McrT7jn+PFxQdZXPBs25oqtdIEvDtq44r4YpQv+a6PEe4/z7NlMxrFZIovPzgCfybzWN61wp+e4C8zMc17EFybQ4dvcmYTPUTZI2Ncbip7kZIJ7msZWKotLeAcaOA889TvuieIrn6foXCY/OINXQ4wf5sKLpJMHJlHBkENfI3ut9MlerUsEMhHgtNuo8N4bwJrUdXkdxkQvcO3CGtcQS27LQ8uKiWpVNElYzm+/exBzOkZPCuzUqHq6KnMuOfX4R3RWEB4cexF3fuAtPTj4JANjZthP33nEvXrXzVZd0HudquPLOkoKCwvMboQjzxOZn/RBjM6pl3lCb1U7bZoj68NPA8QO8yXb2UqUZPUUSUSry5t4p/CYrJRLBVsUd4YjvX9lKCaqWqe7IG3CpwBuqNAeXiMSokj36PY4pjcojguwUC1RNPZdjyJC3VCp1mf9YYcjXtn2yWi35PpTSjDsUoSdipeTnKroe80blmhYLQoGEr3IuqIiaX5DkNIW0HRcwNd8Cx7HhE1ABDxzXaohousg5lIbkugY4Oj9Xr9L2yarTWqeQoxInlVgJTWe/dV14uy7s6Axo1alK8zgX3QBZqKhc1yCUyDD/TaRJ6qQiXq8CB5/07ahkd6hSgXOJxnk9yjzKyRGuy+79wOadvIYffxioFDiHQAjoEobywydJZGU+b60MPP0jpmO88hd4nfRtplI4Pc6WluEIi8hsm9fbwLbF16hj8UGhmG/K33X84qhUGwl9MOxbP60Fy2zLAqIKXjhR9G9Z/fOmyTVJtzG9oFLiPLbtoVqcSK99LpcBTmVP4R3fegf+6eA/AQBSoRTe/ZJ34/du+T0EjXNwxbiEoIingoLClQVd5812bpo392aC2ahTVduyyyd4ts2e08MnaZsjQ9wzE7Qm2nsdlb/ZSRKmqDDLTqap9sibYChMlSrTyZtzexfH6OwVKpvnk7RGjQqN9C3MzpIQLs35zM/Te3FmkoQhmSJhrJWpXHb2sk1hucjXPIeKYThOYuB6gCYIl7Q1KhV8YhVNCNNvj2qZrjNNQCpHusHxSzmS5UJO+INqfmGR20QeDRGCduRrksDJ3EmR+yntlABuW6+KnFGDRFG2u6xV/ZA2NL/qXBPktlLmtrKYCVgcInfFfuzG4nmeCzyPx2Hbft6m3Ee1QrLWaHD95iaZ65hIURWslICrb6R6+fgjQHGe3FXXSfrrNZ43w+SDTnsnFcJgiNff9DiQzvAcSUuv44e4jok0r4lAiIQ3WgVOHQOOPANc90Jer1ffRBV/borXf63ih92br7l6jTZN0kEhAF5HVoPnINMpzh34r6ywLxd5XQRDTX3nl6CVbVkk5rfqXIuBvGmSoPYO+nmdV1hLzmK9iA8+9EHc+4N7UXfq0DWdeZwvfS86Y50bPb11gSKeCgoKVx66+3lzPX2UCpIZ9Cuq+7fQAF5iapRqYzRG4pNp4/aRGIlfJQjsv5mEbXIEGNxB1bOQZYtKW7TfrFaAZx6lOrhpKz8fjjEH0XGoIFXLADxg+1UkCRK2tTxPtNFg15i5GSAoioESKZKTfJbj2g4/K4mVtBGyG0C+yn2ZAW4jOWAxz7E03Q/Jizogvp9j9bKsFLcawmqpJpTLoJ9KIFuUyqpxz/UJniGUsmZ4blNIXqiTnruQEgpTKGkypC3Hs4Syphtca0lS8llh7aSxIEjmPdrigNwmknReaLJscmxAE0TY0En+Mx2ilagw8S/mmau7fR8fPnSdOZrHD5HIyzVyPSqMc9M8t529gmgLz1PH4frHElxrSRInR/mgkcj49k+SCMtczuMHgf23iBacSZLPcpHnsVYBjjzrP2BUy8DsNDA5TOLpWIAZ871cQ2GS5/kpdjPq6iPRNQPAMz8mUZXEs7OH35FWOdZLbcvOFbq+ek7pZQjXc/G5pz6Hd33nXZgsTQIAXrntlfj4HR+/5DoPnS8U8VRQUNh4NOq8QU+OCn/JOHPTOnrOrQ2eplHVbOsSeZplhm3bu0gSpOm16wBjw0LdCS5W4mRnnVK+SSXUfJI5dIKqZ0S0HpwaYxh6qsqwfKZdFMbYJLe6wW2jcc7pm//CquC2Dj+cLPfvecDwMVo/mSKX0xNFOfEUb/KlvCBBuk/WZOi7KgzYdVFRDo1qqGaQlFY88bfId9QNcqt6lQS9XObr8uYulUxTF33IsbhgKWAK1VKSSq11dXmz6uh5ovpdWi6Jz8jWlwt92ZuURdfh9WGYIu1AqKcwRIjf4xiGKba3/XxPua5rCbUvzRHWDb9YSVr7QPh17rsRGD9N+6yIyKONilzc/BwfHGwbGDlBxVjThbKr+/vRdJL6cJTHZTeY1zs1xnNZylMVD4ZJUOsV0TAgwBC+YXLfEqGIUMFrfsGOvJ5lBMC2mHOZm+fYlbLoIQ+gs58qaqlI4huN+z3re/pJ9JNJPrDVayxACgT4+9BxoJAHrrnpeeWpeT74/tD3cdd/3oUnJp4AAOxo24GP/eTH8LO7fvayzeNcDYp4KigobCxkK8jpCd50zSBDi1NjtGjZtf/ciwaS6da+gBINUfAhcyaDolNNROzPDPgt+RyL/cePPkdCEYuz4rxeY3i00WDYsC7Cw5kOFgzl54FrbhGtJB1a4JQK/CmXgY4uAJ648ec438lRKlayQ5DdEIbdInezXgegU30CBH/RaJtkOz6RCwRYWa3rDO1KGyKrIQiULQzkhQWQTJGUhNYw+XkP3J/W1JXHMPwc0ViC6QOSWOo6x3S11b0VpQqt6X6FtSScgZCvosoiKVcnkfScJksnUbEOkf9YLS9vt6npgjy7a/R6bFJx4S2ukIfG6zSZoS3S0DGh9gV5jipFwMxyDQIBPqhI1VgqtYYgyrLQKBLFQu/6cJRK7pOP8PqLRHnOp8eA5x6lWh8I8VqqVrjvTAdfk3AaQCyzKN11GQZ3kKA+8i1edzHh3NDTwVB/rcKHMpka4oqHjI5uhv9npnhczTnO0TjnPz1GRX7nlaXUrTdO507jHd98B7588MsArqw8ztVw0YjnBz/4QbzrXe/CW9/6Vtx3330Xa7cKCgqXOk4eJuns7GtSN9MkgMMnmMO2Wiu984EkSI7DG2a6k0UrwRAJVbXiW7UEQ8DAAFXYmQmgMcd56wa3k52NQhGqSGVRwew5vIlH48DEMBWwVJp/S3VX06kSTY9xm0IOi7rnyNaNkyOiIEmEaE0RRjUDDO9qBihHwq8gl0QrmeKYknSaAZ8oSGN72xYhbxMICdLpSOVUVJSHIqITkMjXrFUBrdy0ppKciqKeBRInQt9GQITQxbw8VyiApvAFdXmMuiFIr1AxZSGPVHAXuQLonLshQvELIXxRxBSL8zryPIa1ZVGLY2FFeAv/IWQuYTzhV69PjtGDs72T10c4QiWxXPQrz4Mhnv9GnVNf8PN0/eFloY2sKJffg2ZxNpLgw83wSarpmk7ls2eADytSGatV+YDUt5nnaiXILlzpNl7TgQDzQAGOHYkzZaRe5fdPN3iNXP8iku6TR5b75AKii1OKazO4w7f7WpqLWSoyF7ZS5r4zHcLL9RwiHJcZivUi/vyhP8fHfvCxhTzOO2+4E+9/2fuvmDzO1XBRiOejjz6Kz3zmM9i/f//F2J2CgsLlglKBJE5WyjYjGCIpGjvNYoJWqqdUjM5VEZVtFMdO8Sbc2U2SkJ3lzXBmkoTANHmD7ur3WwcCLNaQuW5LQ2KyA48ZItkBWF0cj3OMUoHjN+rcV6nAbaSfplUn0QgJU/dKhYUq1Xk/RB5L8iYvQ9NBURRliTC4rOQ2RO6nKwqMNJ0ETRqD28KOSBI5B0BdKIimsA9y4VdPS1K8oDy6DC/XRS6mJHy6QbLqihQA2WJzac6lXDvdEP3mYyK/UZBuy2pKg9B8Um2YvnH+Atk1AMNdXODkuBzHDDA8n5tnT/bmkLqmL26X2UxKF/IoTa5xPsvwd6NB9bkwz20iMf7Irj1WHahZi709TaF0LvSwF0qsbfEch0Nc91iCc5iZ8iv2Eyl+busu4JaXsijOtkSjA1Ht36gxpWTnNWcu2GnUuX6ZTq5fqo0PP7JAKBjkeJEoHw7SHcKPtCnU3wrBEK/Dg09SAfY8ji3TZ8aHGEWolPz10HTmZu/ev3o3pssYrufi757+O9zz7XsW8jhfvvXl+PgdH8f+7ucPP7rgxLNUKuFXfuVX8Nd//df40z/901W3rdfrqNfrC38XCoULPT0FBYWNRLXMm+ZKxs/ROAlZrbq4G0oxx3D09IRf2dszwMIGebP1POEBaSwnhc3o38ycy7lpKkmDohp5bEhYKHXR7iXdTkLhCnW0Vl4cXpaoV0kkPY8FSKWC3/s8N0dV1arxpq+BxGFumsQkGOINOhjizdnQScTqde4nlvBVMT3k+z826oI0uqLNpPDM1HU/zFwV9jO2xZt9TFS058s+2YIjiJvotLOQX9nwK9mthujqI7oAAVyPvgHmvdZrJLRy/SWBk+F02Ye9mfRJux7HASJJ0cO9SmIbifFzNdsntJrht7xszt10GiTNjuWTW00HPJvXjBnkMXX28eGiKucCcdw6YLvLlVDX5ecMw897tOr++fZERXp9ngb/qXago9NP84hUqWIX84BniCIknSF81+HDhmkC6RQQEO4IrstCH9uiwriQghDgA8/e6/j68YNMk7CFz2kyQxum2BryK02TP7JALtPBa7SY40ONLb4/lg1UcsCWHXzQsSz/gaUV+ZwZp3o6M8FrNBQBsjP8znZ0sxgpEKQ3p/xuWg3myhomcNUNZ577ZYaHhh/CXd+4C49PPA4A2J7Zjo/95Mfwc7t/7orM41wNF5x4/u7v/i5e9apX4ZWvfOUZiecHP/hBvPe9773QU1JQULhkoPlkpJU6I/0b9ab/Mc9NUUkpl3hz1XTmhE6PUwnq30oiOTFCchAMs6tLV9/i/tES6XZg3/W8gc9MiPl4tEoKhdnRpfkmrhtUfYaPM/cymaGCJhXG2SmSg3yWYfNahSqPbrLd4ewUjycU5Xyy0ww/p9tJIBqyIEQQokrZv8EbBkmUZgKJJEO7tQrDvjWRiymLa2Q4PRAi0bXqgGOQoDi26LNt+eQ8HAbKll9lrhu+MbwGkj3X4cOCB1F9rXNtkhmayocjYj8uw8p2Y3HBkaEz71OS0IVcTKGiug6JDzwwp7SJqC6EnUXIvlGnIheJClUNJMOycEz2cfdEwZIDqp266edUSp/XRr2JKNtNc5ZTFykDjbqfi9p0CbM6veGrstUSEBrkfswgHzxkxbrsIhTWRBcgcB3TohgtHGH1+PwsiWokymsiKMLmZoB+nLPTwA0vAnZdRe/O8RFeV4k0Q+KPP8SHqC27VlY+Eyk+6OTmeI1G4wyrjw9RxS0WmcphWxxrx1U8/mSGP/ksvwvNKBWAZx7jXCRJrQkrrYTwKZXkuBmBIJDq4Pd4cBuPwxJuDc1OBpcZTudO4+5v3Y1/PPCPAIBkKIk/fvEf4/dv+X2EzCurMn+tuKDE80tf+hKeeOIJPProo2va/p577sHb3/72hb8LhQIGBtbQFUFBQeHyRDLNXLJyobUBdCnPG5skCFaDxT31OsN2EvEkCdGx59h2sl6lyiJb/D37KNWVfde3DuN19vLGPz/j+00m0ix6qlYALFGPMh2c8+hpQc4chutrVRLicIifswVxy86JXL+yIIgeYFZ4XJ7LIhUzRDJZr7NYqVQUuZ0iJGvVgZojwskayUK14pM8S5qvi3B0IOCTR2mFJC2XdMNXa6XJuSEsgqTPpjSVl/3GJWHVDT88KseuFEhkJXGq130ytwCRDgCNuanNRT4uAF2QuYU+6oKI1sUxLiV7srgJEMVTzTmT4hhlt526LTotAYDoVy8V4WCYx1Ov+TZRMi9REuMFGyitRWW8eCjStKZz0aDC19HD85jP8TiCYV4HhZww+9d57WY6qejPz7JHerXsE3tAEHpLqJ9pWnFlZ0hMpeXStt2Lq8hLBT5MhSPM95Rrm5vjA1a5yLnEEnzgmZsiCU1meN2ND1O53XU1yWgy46uTpsmHvANP8CEv1SbWsAo8+2P+u+sqfrcl6jV+vwrZlb0+I1EW7o2PAO5pzkkq/b2DoqL+8sgBLTVK+POH/hwffeSjqDt1aNCYx/ny96Mr1nXmAa5gXDDiOTIygre+9a34r//6L4TDa8vXCIVCCIWen08ACgrPS4TCDHUfe05U8IobkqzwBei7KW/Ac9O8aXf2LB8rEmPemDVO/8LmnFFHWBolklRtWiEQZI5ZM/o200vTSnB+pTxv3OUi59G7iV6NhSzw9I/5nmHSVklaMMke77k5v+2jrA7XIMLoth8+dh0qeLYtcgsF6WrIYhrNz69siHCvrGg2DGEoLsL2sTgwP+0TPkBUyVt+aFYSOld4cvIEiNds/uiGCMdrfj6iLPRp1JmHaAZIQMIREm1Jch1rSTpCU+7pAlyGuOX8xEsM5woyKImiDK8buiDHgmhLogmPDx3BkLCWKvN1mefqCM/UaEz4mzqijWOQ48n82KUpFN6StWk+HojllfmujTrTQCIJoLefivv8FO2IYgmGrjWQiMYSLDZLpunkIHN9pQpcq3CeEeFmII8N4H5OH6XarBv8WxabxZM8lpFTvD5mJoETB3k9RKKiMEicz0gEMIJMP5BpBZt3MMVkqaIp0dXHdRw63hTqF4Vgnb2LSSfA73qtzDmu1vGoUgKOPM3tY0l+L3PzjBQUsiTClzD5dD0Xn3/687jn2/dgojQBAHjplpfivjvuw7U9127w7C4NXDDi+fjjj2N6eho33njjwmuO4+DBBx/EX/7lX6Jer8N4HlSvKSgonAGbd/KmNXaaNzBZAR2Ns9NJZ6+/reyy0+rGU69RaTEDy8Nyhskb8cQoQ+drLV7o2UTCOHqahCA/RxIg20hqOlWnrn4gnQayMT9cGwj6VjRyzpouQrLwi0t0wVjCEaqoVp1KqCsUN8emStoMTeRkukJ9cx3myVZL/Lxp+qpbo9FE2LRVLIWWEqqmHExZGKRpHFvmVXqOrzRKQuoEmoieJvrCV1uMvxKaQtkLxT6aP8UF2yXLV16NAKcbCHJfUl1s1EUPdMPvZ18ucN3k+XE9v5+6YdL7Ek25n6uukYBj+76cnifybD3ArnH90+1cn7ZuPrCUi8Du60h2pYXU6eOcu2n4Jv2OhYWiIddlvnFIdBLyQCunI8+QWGbF/iMxEt1khqT29FGqktUyyWcwKMitxu9CIMD3+7uAvddyvYIhEuGl3zPXJfmbF9dVNEoi6Ak1Oz9PYrv0epWIxDnvld4vF6n69m5ihGLhczGuwfAJEualD4iXCB4efhh3/eddeGz8MQDAtsw2fPT2j+Ln9/z88y6PczVcMOL5ile8As8+++yi1/7H//gf2LNnD+6++25FOhUUFAjDAHZexZtNVlj6hMIMJy4NyUki0gqNOhWhWKp1MVEk5rembEU8q2WqKrJHdaadc9h7Hf/+8Xd9Aptu5w0wGOZN+0cPANOjJDWRBG+wtk0Sahqcl2nwJxAXBuCe34HFA4lnSSid0QSQCjAfznXhk8Cmfz0Ir0xBPoNBINhGoisrwh2hkOrCbkjmTi41SG8JqeQ1raXrAgZ8NdlyOZ4uSHIxz9drZbFvz//3XOB6vkIsTdwdl+O58EPwuunnAbou91nKN+WHSuLflDNaq5A8yTxQTRPpAVJVFg8EGparn4uWqSmHVdf8/NhQhPNe6ATVYEg9nyVxj8X967tcJKHTdJJOzxXEGT7hB6jSTonrLBAUtl8GmxDITlTlAo3dt+wiwZuZ4Pu1ColoIsXx8/PM5dy6myH1uUlgy87FHbWaYVvAsQP8jG3xGG2bx7B1F3NA5d+S8C8tPPLEdRpPUNlsTg1wHOZEGwbD6ksRigBajgVKlxjxHM4P4+5v3Y0vPfclAEAimMAfv/iP8ZZb3/K8zeNcDReMeCYSCVx99WLz2Fgshvb29mWvKygoPM+hiaKIVnmezZAV3zKHc9EYoEKUSrX+rCNy5loVKcxMAEefJXGSPounDlM12rOfY/dtZs6etmQM12VosFz0CQ4EiWmICm/dImkyQiSfNY9tMHWTN99yURT7CAUuP0dyHIkCqPm9zBcUSEE2PXHgnih8SWVEMYbu+4jKQh6pJHsuzooIyk5OUiWVXZZkEZZcfE2Q23qtyTqp6XNr2teSwh1p3C5ts/SmNVj4VWPnJJmTaRiA4/k5oJYgmlaNRE6qiFqI74dCJIhWQxRvBcXAkrCagOu7rSykQyxC074Dhq/2NupUoTWdxWq5ORJQHQw3S+JpN0QqgQbI5wO7Lq4HmbJgU2kMhfi5yrxo8ypSDsJRHk8izf3Mz5D0BoIMWU+O+Q9cmg7E03x/epzfqfkZPpglVvj+nD5KhTXTsfi7V8wzVSYc4UNZqp3XfSHHsWRBn2OT3PYNAtfeyuK/Yo4E27F57cST4vuygjAViVKtdZ1LItxebpTxoYc/hI888hHU7Bo0aHjT9W/Cn778T9Ed797o6V2yUJ2LFBQULh8kM1Q7Rk5SdZRFR9K0O5Gmajh83A/XJzO84RbzzKVb2kO6mAcOP03i0S18OudmePM+eZgFGsGg8Bpd8r/M3DxzQCuCXBiaUDdNhlsd1y9QcTwg1GRBIz0tpS2PrOCFJ0zZhYJliqIfAMtyMJvhiCIMaCzKcCxuZmg+QZM5iGuBbmChMr45J1OO4TQV2egG1yiWJKGu13k8SzsInQkrqdkAAJcV8UtfW/D01EWoOgDAJAlrNMR8PZ4j3RQFQKLqX1bLh4RfpW1hoZPSgsG9VIldv7p9GQSpt12Gn2NC9atX+cCTn/e9PDUxz+kJmvqbQc5H10WBmHhYSWawUJGfE7mXgQBzlNs6SdzMAJXSQta3itJE2sbcFK/hrj4Rql8yb7vBOZSLJLKlAjsjeZ4wjG96uKqWgdPHRGpJjmkxjkvim8pwm7HTwHUvpK1WpSCq+Yv8Psr9ReLAzS8Btu2h/dnMBL9/gSBTamoVpg6sBNvmsWn6yttcBLieiy888wW889vvxHhxHADwks0vwX0/dR+u67luQ+d2OeCiEs8HHnjgYu5OQUHhSoOmAbuu4b+TY7yhA7xJhqMkh6OnRBgyyArhaJQhzlAY2LRtuVIyPc4bZM8AScLYaYbcgyEWVhTzvNkWcrxBy24tjg2cPMQbazwhzL8jfkcdeZ+v1UThidZEXDWfmNq2r6KFI36oXNdYWGNZTZXUmk8IJEmVr5tCcaxVWGziecx9lLmMdisSqDeN0WKtNQMLPeQl3BW21zWqca4jcj2b9ifV1vNGqzH0xRX0MgysaSRmniDQMj9Uqn51UeVuNfziolrFP3euzbE1Qf49R5BtLFaRAf/8BMQ41SrXI9nOkL9MdXAcdoTKtAP1BnDsIEmk9Egtl3i9RmI+0XQcXiuBIP1Hd+zzC5DiSV6flSqQO8gxonGSvHKZ887NcX3KRaBqMh+5URPdt+os1JOm94GQT/w27+C/c9PAwSdoYWYJw/lEij+lvO9/mze5ftv2cE0nRvgQ0mjwnMR6mbO9bQ/XLdOxvPNRMQecjpDoLk2z8VyqxFt2tk6luUh4ZOQR3PWNu/DoON16tqa34qM/+VH8wp5fUHmca4RSPBUUFC4vBILA3utJIgtZ3vRNk9W10Rjb/A2fYOhQFt7MzwG3/0Lr3LDZKf8mV5jnjTSR8vPTqmUg1sUw5MQQK+PNILebHOHNVpKeepXhwHqNqpbrNOUXCoJk6KJ3t0USFIywNWSjIWx0PBLZUEz4PjaFeSFCyJ5U/2ToHSQyU+PCfkhWsbvCSxOt1U5N/KcVKVxRrWyxretw/vOzHHPRnNF6fDPoV/mfEavkpHpLwt6yuCcQAswmC6lKSVToizxhmQ4g0xQWLIyEfZSn+4TVbvjj6wYQTYqiqYrfNUh2RqqWqVgaOjAz5leQex4Jo9XgtasVWPzlWFQ8pedpLA6E47wmKiX+QKdyGYtz/oEQ554XZu+azsKjapkPY+Ui/962mzmlsSSvx+wsbbsW2rgKwlku8rvR2cvv1MgJFtZlZ4HDT7Eav1LmaQiHuR/Zt70hlFNPrH0wBOy7gakFs9O8FmIJdghrbu3ZCvEUP3f6KMeSzQNkoVymncR5AzCSH8Hd37obf//c33OqwTj+6Cf+CHe94C6EzSuz09KFgiKeCgoKlx80jTcx2RlmcpQ3XDMIlCZ4g44lAOkdWS0DE6dZgbu0sFF6NDo2iZP0qfR3BiTEWHPTDK/HU8DQUdomubYwuxYdiKRVjCeM2QMh0alGo9KkaaKaWeQQVou8ecsKcYAFIprG0GS1KopmBMGymkiQRHP3mUBQhMaFvVBdFBk153n6By8q1M/nZAi4ruitvsbtPcefi2H4hUStsFBEtQZEoiR+4bBf8R4Mc81tW+RTiuKeckkQG8tXhN2m89AKUo2WvqyhsO8LaksDfgtwdZHXa/KaCQZ5HTUazHXUDYbk23tJsGZF8wJd5KvKfvUB0aFqy06eS9vhtR0Ki/A3+D3o6OF6TgyTSCfTzLeslEkyu3o5v9wMrynbApJBXk8d3b4vbjzFzkMzk8DwMZ7PdIbHFYmL43WEuX2MD2m52cV514bB+XS0sD1bDZpGRVfX6eVZyGHBRqu9G9h5tWiucPFQbpTx4Yc/jI888hFU7So0aPgf1/0PfOAVH0BP/CyPTwGAIp4KCgpXAkp5Eof5Gf7dviSxPzcHnDwK7JtYbDxfKZM8Pvcob3CFLG+8wRDD3q7DG3uijeF62fpy7DTzQIMhwBMkVQNz9vJZEe7VSToynSQgtgUEU6IQJAR0DwCTQwyJygGkFZRtU4WSJu2ypaWuLwlhGwBEHqnmAbbIxzQCPhnVDV8VbCZvuoEFRVjuX+ZDtoLc14LB+xISKyvGF8bXReWztfg1uY3TpFR64LHLYpqlBu2rEcHm/ctQsxmkUliv8RwlNOYiBsIkSekOEtBqRXQGqvuFZ6575v3l57kenstiMc1gWLxRo1JqBkmQHFsUy4iHiECQIehy3ie89RrQ2U8/22iCn0l3CHUxyvM4M85rwjSFOb44Tg3CCkrkjZaLvP66+n1fz0SK0YCJYd9myzCZRtK/hbnS8eRiM35oVBgLeRLW7KywcarzGBbah+b5uqaLNqlrzB9eDWaA6TT9W3gsnkuCm267qAVFrufii89+Ee/81jsxVhwDAPzE4E/gvp+6Dzf03nDR5nElQhFPBQWFKwOVEolEum35e4bJG/yxA1S64inepH/8AEOJhay/TbFAA/fBHaJrSpKfKRX8ApBCjipRvUYSUixQhQqGST5qACBUsY5OfgbgDXpukvmg1hRQE7mJMgdUEk9NFCFVylTA4ik/FCvzRCVRMkVhjCs8QzVRCOOJghVJOptJoiF6dLse4Iqe66uRTnE4C2F53WwR4l5COlxwm+ac1KXDa1pTiqlHUlOvi1C3HPMs5FhdY7qEZnDNXYfnSPp+ahrPZzErwt4WEHJ8b9ZQ2M/9PBMW1hVY6BwVjgGyaxQ88S+AUonn3LH4eyJJQlgu8jO2IKiZduYoB4O8vmIJrl+twk5C2/b4DQlch9ZdbcKEHi7JaKYdaO8huR0+5jdmkG4QqDNsv3Unw/FLIbtfySp7mS+bTPMYK0VeY44DNHIkxx3d/N6tZ9FPLLG8EPAi4YejP8Rd37gLPxr7EQBgS3oLPnL7R/CLe39R5XGuAxTxVFBQuPwRT4kwp7f85lcp0/vQMFkk0ahRES1kgeMHSAJSGYbZAZKUfI5dkHZezZyziWEqVZ5LdaqU57aWxZ9oRJAXEaZ1hBdnplOYZWskGnaDN3+rBjgifC6rsj2XYwUCTYTMEW0fxdi24xNEVxQG6SK/0NZ8dahW9ZVS3RSkbwlRdJzFHptnKv5Z1OKyhTfnsv7mnl81rjWpaS6Ez2WYoXnpL9qcQuDi3EiMB1aWe02qsDRod1ySpkoFiISFcwD8Qh2ZT3u2lfg8WCqAZpC5nY06x4slSGQNoT7bFhVWS3Q2CoVEB6YKi3eSaap8Jw5ScYzERAvLgN+ta3qc61rIMVS/93qqq65Yw+MHuO/ZKT6IJTM8zmCIv8fTVE1nJ/l3c1qJbKmZ6SCRHD2FhZ72wTCV0XhS2H+VeHzb95IYd/YIB4bLF6OFUbzzW+/EF579AgAgFojhj37ij/C2F75N5XGuIy7vq0RBQUEBYNgw3c4weKbdJy3lEjB2kr9nOnijjUR5cx45wfw56c0ZDAPFOG/sFRH+TrXx97Eh3lQ3becYkhRUKyQ24SRJpSUsjKDzRm8JH8eQ8O+cGifR0aSdj5i/7CzkiBxBw/ALk2wbtBLyhAdlE3Sd7RcDILlpiKImxwJ7usPvnLQAbQ3kSpBhrBQ6XY2kikKgZiIq1VBZ9BQIcv0cy2/duWwX5xC29WSYvMlBQOZezs9goee8rjMdQTf8Hu3SeP5s9iur212X48niL9dj16Jkmmp5tcI0jWiCRC8/J4qU2oFEhkR1fJi5yOl2Fvm4Lq+VQg7YfQ1wy8v48DM1xiUe2EalPRwV9k8NHl8iBZw6yhzNZMpXLytlrkHPAH8KOYbwI3Gmldg2H6jiKeZZBoVfaFm4NqTb2BpVHlNuDujfyvMcCnPMyxQVq4KPPvJRfOjhD6FiVaBBw69f9+v4wMs/gN5E75kHUDgrKOKpoKBw6cJ1qFDB8/PdWiEQBK59AYuMZiZ5I/U8ElGAN0hZfT58gjfdqTGGJmWHpFAYCPWQbM5OUREaO0UiEQyQdMr2nZEob+KOTZUpHAaMBMlFKUQCIK2MbBvIzjMnVJqrGy7D7BLNSq3nChPxJgIUzwC10nKSJv0ma9J+yfJD2pK4rtRbfEWIUP05Vxyd4XPSC7Na8gnwetgtec1kVxQqaRrPlQeSKs+gAhwR/q/S6gguifrZQuaVahpVbE+ch4ABmE25j9IuK5bgdRgI+nmomu57uNo2Cd+ea4VRv8MHiWqJar1t+dd2rcr5H3uWD01z0xzHqlOpdGwgGPOr+D2PJNMVRvdt7cDADtHissbXtu6hD6ds5DCwjebwrsvcaNfl96JSIolu1Pgd2rlvuTXSZQDP8/D3z/097v7W3RgtjAIAbhu4Df/fT/1/uLHvxg2e3ZULRTwVFBQuPXgew+Ojp1k964n8tf4tbKfXioD2DtCc+uATfn5gNEHVp14TuX7zfC0cFRXwRYbRuzf5+WSBIMmo65Bseg7/jiX5fq3KquD5KYZvqxVg+CRv3HaDBSzBOG/OxRxfr4scTIicOR0Mn8rcT8/1cyh1c3FY2zB8M3hNW0yQdJ0KWr0mwvCa77t5zkRuHQpEVoPX5E26YNJ+IfYj1EfbaSK4nsiFrYs1133rJFMX58RYbge18k64j3BUeKU2/IKynk3cTzzFB5LOPhLDYpbnrZgT50jjNWTVqXbKqnFJjjUdOPoM0LuZle0Lu3apeJ46vDiPtVTkNWrowOwYSWkyzbGTGRLf3DzzMge2MlRu1Tlv2WVIYstOXq+jJ6lwhiP8rgSC/Leji2krF7nSfD3wo9Ef4a7/vAs/HP0hAGBzajM+fPuH8bp9r1N5nBcYingqKChcehg6TqVFN5hTpmkkcgcepwoZSzJ0GAqzUELmv23dxbD2xAiVGbvhm4sbJquFpYpkGkDFYjFLdobkQVotVcskupu3M9dz9BSJaixBOxrbojn4+BDnJXt96zqQaaqG18AbvSOslRwXDJsbVEQd1ydfzdXezcRa03mstlCq4Pnb2qLFphxDE5X0ssp9LdXg5wx5cz4H1uiIQp/VOjGtB2zbz/0FfE9PeLQ1AnySLou6AgGRb3om5VaondB4LYWjJJgxEZZOt1OBLxdJ+DIdbDgg0zhiSe47GKJaGohRHbWsxap2Mcv5xJOL9++6JIyNmqjYD1K9bDREvnBDFGqZJLZ9g/y+2Bb9ZxNJfk8SKRLlVg9zukHy2StC865LQpxIre7HeQljrDCGd377nfi/z/xfAMzjvOe/3YO3v/DtiAQiZ/i0wnpAEU8FBYVLC6UCDaQjscU3W9MkQTx+kMpnWydDjcPHWMUsLWHCEeabGSZvrJZF1RQeSagsApKVubk53qRT7SQNpQILgHoH2HZwcpTbGKYoDLLYerOQ59/BsDDVrpAEzM/6PdNdkZspCa0sJJJ5d2YAaDjww9t8G4ZOZVNWe3sulbqlPNJzBZmVf8MP92pLeoyfC1r2JW/e2XlgXToZrTb+CqTbdakQSoJnS19OUTwj17Quc2NbzVMWhHlcb9sSVekdVCYz4loKRzju5h0kmHPTwKkjok2mQUJqGCIsHvG7JzXbBuWz3F5WyEuUCrwupYVUtcJjMUyOJU3pgyE+aI0OAYPbGUWwG/z8sed4HbZ1A3v2Lye3EqGw/3B3mWJpHicA/Pp1v44/e/mfqTzOiwxFPBUUFDYWnkefwOkJEsnsLH+271283fyMCPeJXM9UG2+eEyMkiL2D7Fo0NkSbJNvmDVnXgYDJQqPsDEOf6XYSu1iS1e1Z0XEn08kb9abtJJNT46Lnd83PmyxkOY9AkDftVJq5c3rWt/ApFrBAWDSQXFiWMB/X2XrR9nxTd10DHPhenZoJBET+5ophc50EFVpT0ZHw9pGk+nzRknQ2K5WXIaTiLf1SXYddoFxR1BXP8BqZmxbdjGxR+GX7DwKAyP0N8s96HYh67KP+0lfxvblpFuFMjTFnuK2TRXDhGHM2ZVeeYIgPSsUCz1k4utgGqpQngY0nhXF7jhZecyIPWfqBlgoivSQmGhAESDArRc53YoTXLjzgqpuAbXv5WcdmXvQTJZJP+cB3mSqaS+F5Hr703Jdw97fuxkhhBADzOO/7qftwU99NGzy75ycU8VRQUNg4uC4VoNNHhZdhmAVBc1NUfQa28TXX4Y08EGIFt2xHOTlMtam7nzfj6XGSwnyW78dTrMi1LJLHQEh0FhK+hJ29vFmfPkqbmf23UNmZmwaefIRhdFv07G5UOYZl+bY7yRSVpVJekFNhpeTYok84/Nw7CIIJYKEf+EK1t8P3DUE8PVcQ1AbHCoQgKo6aF49qajNB8FzaCTUbta8XNDGvy5l0AlTHm03toflm+/ksryPDAKDT5zIa4/VYLfuV72aQDxyhCACXeZWBILD/Zlasjw/zQUcWAZXLwrjd4PWlG37ecliE18sloZA7wInDVNNrZWHNleT1NTUuHpKEn6z8HkQT3N4U/qzQgWqByq1MG2g0+IDSN8hnh3KRBLMmWnMeP8gq97YukuTNO/iAdhnj0bFH8dZvvBU/GP0BAGAwNYgPv/LD+H+u+n9UHucGQhFPBQWFjcP0OHDyMMOS0Thfq1VZyV7MsvBny07eNOs15pdVSn5/6ZK4eVoNVqvrOreJxkSVcB3Ii0rhag2IREjWAgGSzqAgov1bgfZOhvDHh4DTRxjyLBdEK8oQ8/Zcl8qs1RD2Rg5QFSqS5y0O78r9eJ5vaeQZfoWxNEkHhOppMJRu6L5xt+M0fb4FFlVyN+FC5HauR1caiQtBjNeKpcchTfjtOr1QdYNzk7ZB4QgV8wp4HQSBBbumQMBXlnWd1+joSVpc1Sokjbrh55XuuY4V447DtI/crKhkDwJX3cDvw9Q4lcloDOjbQiI5cgr48feEQXyHsM6KiG5CDd/KS9pruc7iNQ6ESEKDYRLLRp3z7NlEklyvUeGXZvNTY1RWr77psiSfY4UxvOs778LfPf13AIBoIIp7/ts9+IMX/oHK47wEoIingoLCxYHrUk2an6FiGIow/KdpPukEWLgQDPDmWsgJyxmhUlWKQMNimF1WRhsm8zCrZbYdLBb4o4l9miYJalDkyMVFH3czwLGtOtAzyFy9k4dEzluXIBAWFc16HahNkwxIX3NXdDCSipnM51w4Xpvhc1P0CrcaS0LXws/Ssn0CKUPkrgvo0lxekJaW1kiXIQzRnUl2TDoTNFG5L9uHnhNaFDJpGngyxbqGwjxPmU6GsHXTP2dmGDDLJKPRmEilAM+TJvKK27upnE+P82EmFBbtO0UrzVIB6JoANm2hutjWCXT3+YVnlTKvuW17gMFtotBJVJmHI8APvuvbLcnrpbufBUWuKI6qVcUDiy1aW5osImqI1qlxYYHU3kVyO3ScxyDTVuS+ZORh6Djfu0zUwapVxUcf+Sj+/OE/X8jjfOO1b8QHX/FB9CX6Nnh2ChKKeCooKFx42BbbVY6d9lWges23MpJV4QBv7G1drLytlIChE3x/dgIoFmnhUswLuxlRuT0zwRttThLbhu8NGRShekOnMlSoC3/HGPPp+rfy3/wc4NRYVHT8ADA9Re9MzRAk1iPxlZ1ebAeA7efYGa1uzqLy2dREp6AmtU03BAdysVAhbuh+pbsnCacLQITgVyz0uYyg6+Jwl5DOlbw8F0z015l0GwaYHyvsp0zhjym78kgrpFAYaO9gC8py2SeEyTSVymIByHSRZB59lnONxHl9VytURdMdnP+pI8A1N3P8Ywd4HWviASQQ4v627FzcTQhgXmhbB0lhpoPXSSxJtf/EYY7rCJsoSxQUmaZfdR8KAcEUj7lR5w80ppRs2sp92JZvi6TBz3OVIflLGJ7n4R8P/CPe8a13YDg/DAB40cCLcN8d9+Hm/ps3eHYKS6GIp4KCwrnDtlmwk53ljSuWYJ/oeGLxdqePAkPHeNMMiVCX3QCmx6hWJlKLDahDIRK1qTES0GCE7QHTGe5jZoL7MAIMCdZFx578PIThpSBpmuhUA96IA2HRPjDMm3e5IG7+YHGSbnCuJw4xH85xaAYO+HmYZqDJGkmolBr8vxetj+XnE8qe5ZpGkuFJuyMRtpWenAEx93qjKRztXnB7zYsGu9H69RV5pagcPy+skI4QCAGeyMlt1HhuqiJv0tFEQwBhMp9pB3JZFgbJrlSOIGu9gwybV6tUPkMhEsBqGZjL8mEokWb4XXbGqtdIQKtVplbEE8zlXEo6AV5foRC/O32Dfr92ANi9n2kip45xnyPH+b7s2GQGRPvWDqavlIu+eu6IKvhiTqSmWLQrq1ZFjmmFdmU7ryIBvwTx2PhjuOsbd+HhkYcBAAPJAXz49g/j9Ve9XuVxXqJQxFNBQeHsUS3TNujEQd60AiFRJWxR+dmxD+jbzG1rFeaRxVM+6QR4Q2zvpr3L3DTJp+fx98kRUWGc8ttcSnN2XSiXU+NUnAp5vzWlZvBzngjDy7BkwwJiYK5oOAxMjgGz0753YUB0kQkEqGrpOvdtWcInU5BK1wIsQRQNl5XxhuGHS2W4XFajA76St0AideGzKcK8mhjPtYCGR4JhC/ukKxEr2ihdrDQCWeAlfDA10dmnUffPnRkQPdWFS0F2BujqF7ZFJeZ+JtN8GHBtWnrJsLsGkrZCjqp4IMhUjWKWD0qPfo/7syy/F7tU9CfHWHzUtSQsLBseWI3FVksSRgC49hbgmluBh77B70+pyAfCzh5ey+EIAI9zq5SEbZPGcLoj5nLwKb4u5+XY/I5Xy8xBbU6J2WCMF8fxrm+/C597+nMAmMd5921343+96H8hGohu8OwUVoMingoKCmuD6zB0OHKSpO/0EYa2Mx3sgtLVJ/Iys8CRZ3mzbOtkKLJaXn4zhcb3p8Z4466URPX6FEOVjk2S2Nbhm6fXa6x0DwRJBmyH2+bnGIbXPd++yNWa8gI9tgWMCYsZzwGiKd6UY0nelCdG/A5EwZAgsrrfP90Dia3jAqEgYNiAERQFHcLH0bF9qx6nKYTeDFMQB9fl26bJML0Z9q15zjmXUWE5mvI7AyE/99e2/XPgiXOle9zUDPDcQthdOQ6vsd5BoJpgusf8NMmdYXKbeo2kzq4LSySXxWyAb9uUjANDJ4FUirmT4SaCFI4AB54ADj/JHEyj6fZsGFQcPU8U2TV1CioXSUj7t3B/e67lfLfEWJRkWcIZQjz4bNlNwlnIUdkszLPICOC1m0xzH3NTzDfdtJU5rycPs9hog1G1qrj3B/figw99EGWLZvy/uv9X8Wev+DNsSm7a4NkprAWKeCooKKyORp3kcOwUw3n5eVZ427bo3+wwXG5bwKZtvKFOixB5WyeaSreXjy29MIt5/u66JK6VMm+ucmxZOWyLQpwb/xvVl5OHeZNOpEmC7QaEIabY3vKrloNBzqWQJ9EwTFbsBkUIsauX6k8xK6qcbWHkbtB3UwMWLIxku0XXFaqYzf3oguTI+QbFOM2hYkuEmjWdhMIwhaoqDc0vQD7j8xmyVzk8Ue1t+CqzBt/qStNI0HQdC/ZZpknlz7L4wNC7mSkfk2M8Z5u3A8k2qv7zs7x283MkbokUFXbX4cNLMMSHtMkRWid1C5JkN0gAPVHkMz9HL9r+zX7TgtwcsGUXcy1nJ7kfae4fCjPC0DvI8XoHmR4wcoppKbNTdGrQhIVYNM6w/vW3MZd5fNj/3jXnhbquX6CUbON+i3ke1wbA8zx8+eCX8Y5vvgND+SEAwAs2vQD33XEfbt1064bMSeHcoIingoLCyqjXgINPsm+6bfGGFo3RcLpa4o0wHKVCND/DIopkmjll8zO+iXso6rehlPA8EtpGHdi+j8RveoLvZTqoPtbKJLeRGLevFKl0jp0WYc8qoGWpEsYTDKnXRQcXVxT+mEHe1Os1LHQN8sAb7cQobZWk/ZKmkWTqjiAMDhbC4YC4GZtUWWsl7s8VylmtsnjtNH1xO0vT9I3I5fHLlo6AnwOqSOf6QrZ5lA8AnkvSFjSEC4HGh5eKULjh+tZEurAXQpnEsVwAksJTs2+AuccA39M1KujlIq8J2SdeqqvpDj4gjQ9hoWgsP0/l0bJIgmUP+XKB3x9XhOp7Bqg+xpO8budneM2HI8zvjKf8a9Q0gV372Y1oapRdtCplHnMixe9ZV5/wGQWw8xpg/DTzpg1R8JZIUh2uV/31K8zzGt8A4vnExBO46xt34fvD3wcAbEpuwode+SH8v1f/vyqP8zKEIp4KCgorY+w0MDUCdPZRqQkEefP0PKowuVm+Zwq/ykKOxHOhQtmj6tLdB5w+JqptRfFErfL/s/ffYXKl6XUn+Lv+hjfpM+FRQPnq7mJb+qGXZjUjaeVGlN3VSnqoRxo1PUWKZJOik8RWU5S00kgcabQ7u7MzQ65GXJkmJTrRk12uyxc8EkgbGT6uv9/+8X43IwEkUA5VQFXFeR4UKjMjbtyM+C6+c8/7vudIP6fryST53JL2J4xk8zNN/XU8HZYwLag0hHxGExkaGuzJhr8+gZKtU3wMiHNN7nSfnuvLRj3uC1l2PTnG3ha4x0TNyVPZ+JMD5NAyp4MXxZR6FCA2R4UR+UG7HqbPPThIk95cPr/p8bm69XsfCBzy3t0NOJ5OG8plTbke5DqtKNMuB0qTqmOnRT3Pcj2RHk17bItggDzXAzaGEL84niZR+b6szSQRotffE9IZR1OfTs+X70ex3IgNenIcx5NrxDAg70NZT82fekiuJa90YzZ6oy1/7gTLkmtu6Q4WQoOeHLNak99/NJDrzS/J68eR9pHNp0EF+zdH7w42hht87y99L//qmX+FQlGyS3zXl30X3/Fl3zHr43wPY0Y8Z5hhhsORxNL3WK7LhpQk08EG15MNajSQjHPPl8cURGsyEqWyIJmnHpKNbPOqbMhJJMR1bwfOPq5L8kztazpb8hqGnkoPxnq4IpHXuXJR1J9RTzbHWnNasi9Iq2lM1SZLDz5NxtMePgwho1Eoas/VC9OSp2nc4HI0/R89FJLq9yJP2S/T3jJ5/WbJ1AeRdHJ7G6W3fkD5vA1N5JUSAprqKFHTFIW7OSc3ThiyXj1P1mSeydrO9Q1GpIng/JJMdz/7O0LaHE0mLUvUw4KYFYNkWaKrAZa2I1JS9h4P9XWih9+KAbhwIsdqtqfDbqceeuc8ND3t8JBlQm6bc5owJ3K9TcaSzmSYUumo1qXt4F1AmIb8g9/6B/zor/8oo3gEwDc//s382Nf+GEcbR9+Vc5jhncOMeM4wwwyHI9SWKrWmfO350zKxV5Lv7+gUH8/XfWy+kFHDEBWzgOeL7UswgfMvTAmegTx+2JdNzfOlDLhxRatUJWi1pS+zq0uPSQQo6cELQ3ldxxGlatDXPqGG/DFsIZkG8v0oFIJRTOLXG/Lam+tSxk8zbcatpKSe6+cV0+ocmFDfL8MfUIGKvrsZ3iAM7moiUgGFvklxwLNl3eWZHuzSZDQKdCtIRdbI6UclQGDQk7XgeKI0VhuiYp59XFTRzrY8fzSQ45ZKcnMWToSwur60mpj2dJBp86qo6IahSW0iN3WtOajotg7LkfW/sCJ/9namE+bvBFrzcs31dqXaUKnCxZflujNtSHTa1rnn5T149EumhvbvEJRS/OxLP8t3/OJ3cKl3CYCPr32cn/qmn+KTRz75jr72DO8eZsRzhhlmOByWpaez06lh9s6mlB5dXxSSUV9K12GgvRADSMqiDM0t3Xi89QsyeHHyIenPzFIx3B70RG08cVb7gC6Kgfy5F8GNRb2qNmRjTGLZLK9dlM3dMEUZGg508owDMVLadD0pmQL7KUGZTn6JkDL79Ss6D1vpQR/YzyTPken12JC+uSTWCTBoM3c1VeoK8nSvYiDfs3gHVV7TlDWT52AlusdWR5BOxqLqoXuABz1JATr7uPRF7u7Iuqg1dJLQAzLF3tuDo6d1W0lXyOmgJ9eB5cpjvLK0fhQ57Xvb2kvW1ENNFlRbQvCiCJwIymW5cVpYkel0lctzu7vS7hLqSMv2olx3d6Pk7bjSW/3S03I9dXTZP9WepuWqVBd2toSkrh1/+695Bzy98TR/8/N/k1+7/GsArNXW+PGv+3H+9ON/GtN4d0v8M7yzmBHPGWaY4XCUKhIfuHVNSoaVmmyom+vT/rbFNSGAo54YW599TBTLeuvGEmEwFpJXqU8HjCxbnh+FMkm+tyX9dusX9abuiJWS7cBkIJv04oo23Z5of8SJVmgMeY00lRJrmgjJLNTKwqC9iBMsV8Bty3RylgsZtWwZGCpy1IveUFunvWTaiL6wuVG6h/QGxe4DWi6/n1AQPLT1UPF5FkNlaToNFbBsKZOHeu2cPCM3TOWaKOErx+Q6uPyqkE5Lx2MePSVBA71d3Q+spg4NzZLcCLXndd9wLmVqV5flRwMpt88v6T5lQwhfWXuDWraUvPt7Yq9UTOIPunKu9QYcPyvX29zS1Iv2rWBhGZyPw1O/CaNz2hptWUhuESvr+lNf0qIl5i5ic7TJ9/7n7+VfPvMvUSh82+c7v/Q7+c4v+04q7juk9s5wTzEjnjPMMMPhMAzx8OvuSNmv0Za+TdcTFWYyFEuYo6dh7ZhO/rmNMtHvHu7l2V6QjXn9gljIDPpSypxbhpUjsHFNJxNFegJ4IIQh01YvrUUwtX1NFGmyqK2PiozvgiBGoSihpYo8N9WTxI0W+5PrqizENtNqZp7px+nfy9R9gmn6/jV4fy/DMKUNJNU3RpGOR7X0TUeq14Kj4zKNYjDIFBK54cPJs1LingwlZSgK5BooTN+jcBqb6egezTQVolZviyr5/O+KClq0pqQpGDHYZbmhihPpJzUMaFaE8EURXDkv3qDjoTxv+ais2fWLQmLTBK73RQHd2ZB2loc+9PZK4M05IbNnH5MbRtu99ToeD4T43kXiGaYhn/vtz/Ej/+VH9vs4//Tjf5of+9of41jj2F17nRnuP8yI5wwzzHB7zC3Cw09K71tna6runTgrJHL1uGy41iFpKmkiJLKzJYbznW3pCz1oqWRoCxrPl80dZMq2UoeNy1Ledjwxbg/GYrSexFNSaVqy2Xe2pr2V+8kzpelwEVr1tCwhJpOxNojXpCQI5PGlis67jm76ZTQxzXNA95Aq853pT5zhrcM0dZRlkRxlSL9iqSKl6zjSNyXWVP22bSF+g54Q1tFI1qvliK1QroT0BWNZ090duQGLgqlHrBFrN4QI1s/LGs0yUU5RU0U+CrVXpm7tcH2tzms/zslIlNRaQ8r7ni/Xwc6m3PjZth6Qy6T9ZP2SXE+nH35771uayrkUnrY3wzCn3rRvE0opfu6ln+M7fvE7uNi7CEgf5+e+8XN86uin7sprzHB/Y0Y8Z5hhhjtjaVXKht1d2VAtS0rwd8puDifw0rNiJG9oMtDZlo1/aU3KlXEsG3JRWjRMKUMqJYMXu1ui5Ni2bMSWJcqLVZHjj0fy/ULtqdZlEx+PdJa1Ma18W468pmXLBj7safKYC+lMExjG2sfzECVTHejnzJS0BNjqVu/OGe4dLGsaQgBi/J/r1oskPmBMoKaldlM/z7RkfQz6kJ7TyUU6hWs40INEY+n7dWxZy5ath+l6olYurcl1sbsBfkXWWEGCQceoKrmRskxpX7FsuYEzDfl5rSnXVRRIn+Urzwi5NPU0flWnbA178rtVazKId+Tk28tSb7Th6vnDp9ZzrRLfhSGnpzee5tOf/zS/evlXAVitrfLjX/vjfPMT3zzr4/wAYUY8Z5hhhteH4x4SeXkbKAWvvSBDGvPLU4/PKID1y1K+rNZFeRz2IRjK5rawIuX2oh8zmrBvVZQm05Km48owxrA39emMI1GnBgPZPCsV6PV032YmxMP1wXeFvE5GQjgMS5NHdaPZ+51/Qf2c2UZ5z1CkPqWJrA/HAUdPi1dr8lmOB6JKF48v3BDkG/qztkRB9LQ6Hmulu97QoQCBJl0lWUMFCYtjyAI5h2JttRd1zGtJjj/RN1EGOmbV18lUmcRqJrFcH2kqNzKLq2Iyv3kVnvsdSHR/sVJy49TZlnU7rweXFDqoYVtI8dshnourYmw/HkoF4yC6u3KDN7f4lg+/Ndri+37p+/iZp39m1sc5w4x4zjDDDIegMEsvBheiUDa+QU/K3fW29Hsd1ls26En/WWt+6uNpGKIGXTwn6lFR0hsPdF9eGWJt7B1MtHm8JWQhGIkiVSrL8MVwICQ2DESROjhZbljSs7Z2HC6+KkpqcQ5ZKr9DqgmEWfSAMrVGeqNQConmnOGeQOWiPIN8bLk2688zIYVFpKlt6QCA7EBPrrbaKnqB0wT6PVlvRUSmZeuy9kCcDYJUG8TrY6f6ZioORS1stvVAWiZr0C/robuBlMRNhNTGsZyvoV0WFlfEUmk8lJsux9Wqayq9p64nvaemKes/DKSKMLcsBFfld8fns70gbTMvPKWvT1d+B8cWn96zj78lYhulET/1Oz/F3/m1v8Mwlr7V/+6x/44f/7ofn/VxfoAxI54zzDCDQGmD682ruvRtiIpTKkvpu989kHuNbFYPf1ibYx/AeCBDGF7pxu+HE4kbrNZ0gksgm3J7ATDgtedl8y+Vpfwdjafm2vFIJxStAEqXym2ZTi+VhRBEofhvosv3vg9xSUhlHMumnYRCWGwb3ew3NYu/E++86ybnM7x9FIlHunSeZ0I2Yz38k2nfTEvbaBU2WYW6DZqcurIWPQ9WTsuw2eZVIa2ZAleHJxTT5ZYrxMyyZa0X6whD1uuoJz9bWtWvCzi+eNLmfRlssmwpqyd6cK3WlGti65q4O6ydkJuucKyvJ630m4Z8fewB+brXkevv5mvwzaK/N+2xtm1RVgddUVfXTkgf9puAUop/8/K/4dt/8du50L0AwEdXP8rnvvFzfNmxL3t75zrDex4z4jnDDDMIqbr0qhhk5/k0G/38S1Iyb83DiQen065ZJr1sLz0DH/7k60/VqlyIa7kuChSGbMhzS3LMyVg2/0ZbyqbjgShElil52ZYFUSLTvEkspcdqVfrllBJ1pvBF7O6It2iuZEhp1JPn5amQhrw4xiEG8bcbFppxzruMgjS+DRz8rAqjdtOUNZGnU7JppvJ5w9SdoHhulolSqnJZ40tronIapqwZdFRmlkq5vMg793ztc+nIz4Y9ae+wtLpeqYun7Ggo5C2J5TGeK0TONIXYxdqkvSCt1y9LNeD4WTFu39mcJi8VZX5Tt59MRnKzdfrhqar/VhBH8PKz0ht9+iH53XOtpPY64mCxuPqGM9qf3XyWT3/+0/zypV8GYKW6wo9/3Y/zZ574M7M+zhmAGfGcYYYZQPoun/ltHSdYmyqPk7FswMFENuiiRG5ZML8Cu5titbS0Nj1WpS7kMQqmqqdi6nk5HEkJT6kpkS1SjAxEcfFKsokbpiYV1nQIJBhL2b5ak9cIdNndskGFurxuSdlz1NP9gCbU5nRZNbrR67MgIXecUJ8xz7uLO7yfRqGqv8nWB0PfzISBjq+0hKTtLyx9PNMAXK2O6wkj1wbbE8UxS0SdNwxRHZNUpyAZUwslUyvmzbYQyHJVghG8ktw07WkLMssWVT+OZM3XmkI8s0z7iSbiD1o4JpQqoi5OhnL+J87Itdfr6DVuyd+Xz0kv5umH5XhvBx1tjL+4cqNtGAgZ31qX1pnXIZ7b422+75e+j3/x1L/Y7+P89k99O9/15d9F1a3e8bkzfLAwI54zzPBBx9Y1+PXPy+BPvS4bke3A3IKQulpDlJVBT9SbAoWFUn/vRuJZb+pBoUvyeMsWT8OdDSG4liV9Y1kq5LLelI3X9UWlnIxlA2y0JXlmNJDnOo6Uz21bNt3Cmim8Kj1yRcpSnoHpQ6M+nVp3da52FIrKuT/5PCOU9x0ME9Rb8EhVuh0iT2XNVWo6TevAUJHKAUvUSFNbLRUDSsFQkrdKZVhc1mojcjzfh1pb/n8yFh4bIeu48AgtV6XkXa4KWTW1WXw4luujVBFFs6+VzjSBpaPS4+l6QnLLNWkfefa3p6ENlbpUBpJIyKxC+phPPQQnH7xtj6dSiu44YqsfEEQpvmuzWC/RrnmYB5/T16R2NBBi7ZdvPKbry+ueeujQ14nSiJ/+3Z/mh3/thxlEAwD+5KN/kp/4up/gePP4m/8cZ3jfY0Y8Z5jhvYoonEZA3qnUlueimBSm1JXaNHZvb0fK5cM+tOdEnQHZrLeu6yndsjw21HnXpi6Vg1ZqbiJvhgFnHhNFZ2sdtjdkcKLfkc22UpfSYzCB8LwMAuVKSGYUiYKUZ7JR52qqvi7oqd/+nh5+Qs67371pWEj7dU7Gonya2oOw35VpYnWXhoJMe2Yi/07grbynhjH9nEFHToZAdqtTQWEsb9tgaDXTcYUo5rmUnNdOiKJ/+bXpdVYQ1WZLDw9VZV0Oh0Au6zsKpVf0gYfF4igYSxlbKbnxGY9kOMiy5DoIRrIe51fk3I6ckOvzmd8SMlgqy3kVfayligQ2pLFc97chnblSvHytx7mNPlGS4VgmWZ7zmmVyYrHGo0fb2KYhN52vflECHPZ2ptZly0cO2CepQ19HKcW/feXf8u2/+O2c2zsHwJesfAmf+6bP8eXHvvzNf4YzfGAwI54zzPBew6An2co7m7Kpup6kBq0ev3XydDSQjWVvZ+pPadmiRJ59XDwAk0gmeUeD6fNcTzbh4nlxJESuvydDEnMLojjmuVjP3Ay/BI9/TM7v0muy0Z56SDbP7o6QyySR5w+6Ujp3XEhH0xz0cCybfVVb29RbshnargwL5ZmcT5ZpEqF7ND1flKjOlqidjgsorULdxSGhGem8P1C0Y/hlWVNxoAXOXPoyD/u481RcFCxbnut6ouyNB0L0Lp+Dj3wKnvwyWb+TkZTgWwvyJ9aDP8UE/dKqHMtxYPHI1I5p+ais2fWL8OJTonTWmrqisChrc9SH174Ij39UyKrtwLHTMtA36OkWUCXX1NpJUUh3Nu4YlXllZ8SLV/doVjwWG9MhvyBOeXWjj+dYPGSOJKc9RwhuoyXXeq8j53n8jLQORKEorgfw3NZzfPrzn+aXLv4SAMvVZX7sa3+MP/ehPzfr45zhdTEjnjPM8F5Cdxde+IKol9WG3hgCeOU52TAeeVKI17Av5PQLvylDDQvLQjbrTdmct9bleZORlPdMS55fKIcw9R3cWBfS2ZwT1dPzhDz6Jelru2lT2kcwlil5z4eFJdlwtzf0lK+ry5661DkeSPymNQehjq10/OnUb2Ne+kkLU3mVS9l+2BfvxiSX79mOJpqaqO5cl2MdnMaf4f0FpYd+vNJU3VS6f9PQw0G3GxzLlZTRUbBzTb5nO3J9vfg0PPpRIYEnzoo6GEfyp7Ol+51Tia08elJuBF9+Dq5eEMXQMKUH9IFHpSS+dU1uEF0Xel1RSJNYT6U35E+hYhYVg3JNfifLEiXUcXVPaU3U/0OQZjkXtwf4rk3Vv7ESUnJtar7D1c0up4LzuIYp557E4hpRb0uLS29XWm68kpzfoiiyO+Md/vYv/23++VP/nFzleJbHt33q2/juL/9ual7tsNOZYYZbMCOeM8zwXkGewfmXpUS9uDYtf3m+bEpb13Tucks2zc2rejNpCkEbDaTXbGlNSOjmumzK8xV5Tq0hj682RU3JUim3ByM9watJ4mSsS3L16YTvQSSxZE6fe0EskiZj2TiHA1FwCgnKdqfxl5jyey2tiIXN7oY8Pk9FlbWsaam/XBdFZjKeWueonP0J5GAsZcpMG8crJd/ft1C6G9iPwblLx5vhbUEpWbsHy+p5OvVnPfgx2frGJNVWR1kmqr9pi2oKUsre2YBXn4fl1el1c+U8PP0bsp48D1prcuPV2ZLrqVKdxri6rr5RfEqIaJ7L9QlCHJdW5bUte3oTGEdyPa0cFSLb2xUi6JflsT1NVh98QhvV34pRmDCYJLSqhztN1Eoug6ubREEHd+2oXFtHTooqO9AJYkkCV87Bo18CD3+E2HP56d/8SX7o135ov4/zjz/yx/mJr/sJTrZOvq2P7n5HkuV0hiFJmuPaJnM1H9uaqbpvBzPiOcMM7xX09mQja87d2nNl2UIOr16QjS8KRJEpVXReNFIy27omj6u3RD2ZDIWotRfgyCkZfhj2RAnavS7Kz9ETUj4sTNvRE+GNuandShE5WG2I+rp+ETCgVJVzHfSnrQGV+nQ6PkuFEJerclyvpHtKkdfr6b7UwrrGNLVtUiClT0f7KRYT8mkm5fXCgmafcegeubuGQwinZU1J7gzvLixbiFlhA1R8ffDzBx2racv6LuyR8gPl+CiQmxilpB9z/YJ4vxrmdAho65pcVxV9M5ZEosT7vkRldnflhqhUlhu8rXVR52++57Fs+QO3Xs+lipC+iy/LsYtI2VoDHnhE2mruiNvfEBkGGFkmDykGBEtlOPWgXPvjofTAmibqsY/y8zu/xbf9v75tv4/zyZUn+dw3fo6vOP4Vr3MO732sd0a8cq1PfxKRayerVsXjwbUmq+1Z4tJbxYx4zjDDewVxJMTtdp6ZXgm2rkpyytpxIXSmdeDnvqiG3c40naU5L5tkpAcZTpyVCL5eR0r1zTYcO6P9ER3ZEE1TSNzetpT9Bl1tf6STXwZ9XWo0pDw+Gcqf0XDai+e42vRbyVSw7UyHOMJAK60T+bMfD1gBzKk5fbkq55kmogqNBkICbht7+Q6rk4YlhDmP39nXmeFWJOl0uhwla9W29Y0S8v+mJTcvjjONYc01Oc31DYNVWDDpG5fxSIjmf/r/wtf/ESGenid/F6RxPJQ/5ar8fXOaUKU+dV0Ig8OVyvFQlNOD13a1Bo99VHpAw1CeX2++rmduxXeo+A6jMKVdtW75+ShI8Ms+Ho68B8VgYvHvQXMeBj2+GFzhW3/+T/GfLk37OH/ka36Ev/Dhv/CB6OO8tjfmqQu7GAYsNkrYlkma5eyNIp66uINlGiw1y/f6NN+TmBHPGWZ4r6AYhCgSVG5Gmoji5znTiMkijaSA60lJTykhaScel7+vnId4U0ry3R3Z7JJYyOruhgxRBGM5huMIaRz0ZHhiYVVeK47gud+V7w/7svluX4NuV/tlZoAhP4sLQ29DfBFtR14vy2Hrsiivhc+hYWhldqh74DRRLbdkEw8mcr6Fufa9EBxtTWaK6eqZ6vnOwtTq8r7fp+7jtGy5PmxXyGaqjddtV/5OY23Abh4IPtJqeTF4Vlgh+SV9TEdU/Wd+Cz70SbnJ6WzLz5NY1uruFng9+dpxRTms1jXZtWXd1puifC6sTEkrTK/H1WPT/uoChiG90W+ifdKxTE4s1Hj60i5l18J3p68Vpxm9Scyjx9Zwt/tSRZm/sUd7J9jl+1/4h/wPO/95v4/zWz/1rXzPl3/PB6aPM8sV5zcHKMUNw1m2ZbLYKLHRnXB+a8BCo3SjNdUMbwgz4jnDDO8VNNuymQ37svkdhFJCvtoLomqCkMFIk0rPnyotpYpsjKWKDA1UqqLW/Np/kE3UMKRkmCZiFbO7KRtlqaJVJEv6PtNEjlkcNwpFdSzIbhRI2VHp3sviT5oKWXQdKNW0d+dQTyXHMs2bpkJwcx1xqJDSaRiKKpUrUVBB1M9UT8hn7zbh0+zFNKe9pmq2Eb3jKJT/LJsOjhWCdpEeZBiy7oOJrCvbQRRz7fVapGcpQ5fgtQpflOr9iu79NGWNd3aEgK6dEOLZ1Sbx/a52VbDkfFQsA4Cb1yQJKMulRP7QE/pm7Pq0zB5Hss5PP6zjYO8OTizWGIUJF7aHMIpwHYs4kUrAycUaZ47MQeUhmbTfvg71JrEJ/+jc/4cfuvD/pJ/JvyF/7JE/xt/9ur/7vu/jvBn9ScTeKKRd9Q79eavi0hmEDIOERvl1UttmuAUz4jnDDO8VOK5YnLz4tJSYa03ZMJNYvq7UpFT+ynNSBt++roeBRtNM6TyVjTNN4cHHp2kkvY6Q0bml6YDEhZFETxbTtQXBnIxE/fTK077GLIXrl6Yemd0drWa6Ul6MwmmJvphCThSYgZyj0n6d29c0cVZalTJuirTUipRClzPVlGDE0TQa8U3hQKrNm4Z+Xppo9WymdN4Rtlbj4/DtH6sgiX5FhxEUnrJ63Xm+Xie6L3j/9Q2ItVrqebJm8lTUUMOUG7ai9J5nchzXl5L57pZMqD/0IXjqN6SXuVyXx3a25Hh+GVBSok8iOb+v/q/lGnrso/K4nc2pp+3C8uF9228DtmXy+PE5VlplrncnTKIU37VYbVVYqOvhmIVlePxjqCvn+f+d+/d82/mf4bXwOgAfXnyCz/2Bf8hXnfiqu3ZO7yWkmSLL1W2HiGzLJM1zslll4y1hRjxnmOG9hGKo4PJrsoEVhK21IKbV9ZYQzt/7VVFUVo+J8jjoSW8nlmykDz4+jdpLU1FoDEMi8gqyZ1lSolSGbNzjkagzSayn4Rfl+ZOh9F1ORloluqbzsnOIJlM7m0R7Hpom+8M+hlaUTFNK5Ht6ahelU4Z0H2hBMos/eSa/V2FgH8dabXqzG4FxI+80jGlW9euR0X2lbTZQdAtsRz6j/ffFRCbJEzDv0nulclEZVSZ/LF+y0JWCY6fkMZvX5f/bS9N412Cs+zn1FHue6UjY5IABvZK165ak59F2dMCBdksopsCTRG74LH1T5bi6h1RnvYeBnkjXg22OK+0py0fvzntwBxQ9iHfqQ3w+3eJbv/j9/OKFXwRgqbLEj37tj/LnP/TnsQ5r5/mAwHctPMckiFMq3q3hHEGc4Tk2nvPBfY/eDmbEc4YZ3kswDCGMi6vSn5Wl2jC9Ne37bC9I+dkwdA408vXJh8SmZTKcJv+AWLYM+jKRXqguoZ7urVRlA01iSQFy9GBFJRG7mCJzOgq18plo/81INvgsl404i6ebr2EIYciLkmcu5dFhV5PMov8um6YiqdsYgYM8P83fPOm8YUBin3m+ceVpRjZvjzyb9k7malrSRk0nyVG6J1MP49x2KOw2KD6nKJLjp6lYIpmGrMtgLET01CNC+KJAzmcyhCjWqqs+t1JZyGec7U90S8JXW47RaAm5dD1Z9wUWluXa2t0Uv88klkGhPJPHrRwV67Pta/Lz1xkMerewO9nlB375B/hnX/hnZCrDtVw+/clP87e+4m9R9+r3+vTuOeoll+VmmYtbQ0qufUMfZ5ZLFOmDq41DSekMr48Z8ZxhhnuNItJyb0fKfX5FGv6rd9gAHFc2vcMw0ZF/5apsvkrJhlltiIqZ6tL88TPy+FRPBB8kboVK6flCCoOxbKDNOXnt65fFR7Pa1ENPhiagEZT0hHsUahVS3dh7mWVi7K0QkuB42urIEHJrWVNyUmRa34zCDN40ZeM3LR0Jqr9vvIGEouL3NQxRdos2gLxQVmd4W9g37deqsGGIguiXYdSTdZBl2vRfb+BJ9MZtr2xnSv69Evs57cqQHsw8EzuvXkeI33govZhRKNdCNBFyqZS0d7ieVAbSWNuQVXVK17KEG/R25ZopvD4rNZ32Zch5N3S5vDk3TeSa09fxoCuvcY+JZ5Il/OPf+8d85lc/Qy/sAfBHH/6j/L2v/3ucap26p+d2v+HsapPBJGG9M6JR9nBtkyjJGAQJS40SDyw37vUpvmcxI54zzHAvkcQSablxVedBW9N89JMPikrypnu/9OMrNflzM4pJ3l5H/nS25XUnY9lwLXtK/lwfRjqlaH55ahZfrcuAUaZNuAuiGUymtkrFhnsz8Sx+n2KSGKaZ85YthCJNpSRrFLnwNymShaplWULSTVtIatHjqbjpeQdw89R50ZvpugcsdmZ4WzhMDS56gdPkxvWQZxAetEN6g8TTNOU6sW0djZlDpSHqZWtePtf183D+RflerQXhSHxeTWtqI1Suyt9FD/OgK72aCyvSM13V5LU5JznpBRbX9CBcDBhTcm2aoq76JemhLr5/WHhBQXrzXMjzHWIwDyJOM3b6IcMgxjANmmWX+bqPdWAqPkwygijFNA2qvs1/PPcf+LZf+DZe6bwCwIeWPsTnvulzfPWJr35j7/chGExidgYBYZLh2RbzdZ9G2cV4H0x610suHz+zyOWdIeudMZMoxbFMHj/W5thCdaZ2vg3MiOcMM9xLXHxFTN/bC1NTddD5zc/Lxrq0+uaO2WzLJPvB+MsCxUbX34Mv/Lr0qIFslMOB9Eq250WZsW1RiQxDzqNQEZNISvHHzgg5znSJc2FFHj/o3kiWJyNu8Dg6aF+Tq6kymiRCPou+u0FXSvcFeTQtTQ4P9HIWqlmSSPl++iLsk9Sblc+bSVHhLVqtyeTyjHi+c0iTmxRsddPnUxC0N6A457l4u/plneiTyDpuL8r66O3JjUwRvGA78v1QpwQtrgh5nAzlHEpVIX+PPAlnHoGRzmfHgOMPCOmsHriRm1+CIyfg4quQ52SjAYHhkIylymAeOUHV8bF6O2KlVKneeP67m3DtsvReq1zI8doJKc/btyc1nWHIc5c7dIYRoMQH3jRZbpb40PE5LNPg/NaAq7tjwiRlfXSO/8drP8rvbv4KAIuVRX7ka36Ev/jhv/iW+zhzpXj1eo/zmwPGUYplGuS5wnctTi83eHC1iWW+98ln1Xd49GibMysNkizHsUxce9bX+XYxI54zzHCvMBlLzF6teSPpBCkFhoGUtBeWbyWQd8LckpDP3U1RKYvnqlzUzSgQcrW4KhstCOF75Vk5pyJu0vch8ES5XFiVcnt3V1TF5SPwpV8nG2UUyrEvvCI/7+/J8x1XiOVhJe998pdP/9/Wg09ZMs2Vv3zuxn7BYoCoIJ5KSf675wA3E0aFDLXcicRo6xwMOe/8bqYbzfBGkKschSGqZR5jvVGTAdeTwZ/i5shx5MYkGMKeHhZqL06H64rnWJY4I/R25dpaWBFl3dERrpWqrNsjJ2FuUVpHivL6QVgWnH0Cak2CMGb82suMsJmUmwTVNtHEYf6VixyzJvjtRdjZmt7UXb8CLz8j67naELV3MhZ7o0EXHvzQoernOEp4+uIug0nMSqu0r3Amac61zpg4zbFNg+vdCYY95n957XP8m/P/mlxl2IbLX/rwt/AT3/iZt93HeXV3xItXu1RLDsdqU0I9ChNeutrFs01Ov49K0a5tzQjnXcSMeM4ww73CsC+bzdLa4T+v1IUMRYGUwN8oPB8e/jC89Iz2DLSmSS1+SZSVentKOkE2xIc+DOdfkE2wMSeb8kM12cyjSErrliUTuWcek+MUrxeFYuH0yEeESL/2/DR+8Hb9lgeVR9OUXk+lZPPvbIui1GhN02Ay3Qe6P0WuFRUDSDIhLpYDRepMYb90RyjZ/Mf9N/7+znBXoDiog6t9L87i9uHGbf4mNur6+oZoWaoDBYFzHHFgKFVlPW5elbXpl7XKbkGtLi0hkxFcOic3aUVQwdGTooKOh9JznUT0jpzl2s4e231JQVpqllltlWlWPLBtouXj/N5pAyNtsBp1qBiKsgFW9xJpv8dOtcZy9QrO1rqU3ldPSBSnaQkxPvg7xRGsXxLCe8jk+2Z3QncUsTZXuWHgxbFNlltlXlrvAikvTv4P/scXP8sw7gHwVUf+IN985js5Xj+Fa769qMcsz7mwNcC1LeqlG3tWq75DnGZc3B5ydL46I2szHIoZ8ZxhhnsGPVF7u36owkLorcy5NNrwkS8Vy6VeZ/q9NBVCWr6p7Iceijh2FgZ78OBjQogbbTmPcCKbu+dPByTGw2mJc9QXI+2VY/LcOICXn9PkVNsx3VZNNGTTTSIhCUXizOUBxIlMt/slsNypT2jKVAnNcz1UommMad5kv/Q6mHlv3hO83rueARaGEDQD/Vln8tmWq7Lu1i+Jmplnuj1jJE/2tYtCEIBKp8NLcQAT3d9ZqU9DD848Cqce0gN9hqy3KKT7yss8u5Gw47ep+LJdvnB1j8vbQz50Yo7VdoWtfsB2kLPyxMfphiPc4R5+d5PKZIA6coIrVgO/2mah6si5Pv0bci2dfvjWX7pQZDfWb0s8fdc6NC3HMg1+6/p/5j9ufY7N4AIADzQf4b//yA/x0eUvJ88V17tjdvoBR+dvvv7fOIZBwmAS0zpgrj6JUoZBTJ4rLMtgHKYMJgnz9RnxnOFWzIjnDDPcK5Sr02SV0iGlvMkI6g0peb8VeL74fhbenyAK0GFkd9gTdbTXEXXz8muyKZ8whXz65akqlOdw6VXpTQ3G8r1RX0yxS2XpV602hADa3tRqCTSJMHXvHIA2fy8GhYrp+DyaKqJ5LpZOnq+nl5E+zwLZTYR2ZnN03+NOXbTF7YIJ02Ed05DvKB0Xm2fyueep9F0WpfLhQL5XqQmJCyZQlPFVIiX0QAcUlHQAQqY9PQc9IZy23FhNDJvrvYBSvsXRx47tn1+7CjuDgOcu79Eou+wMAizTxLJM0kqdtFTF620T1eeI63OYw5BRd48FynKOcSzVjtvBK8m1f0iPdqrUoaTzYv8VfuqpH+R3Nn8ZgJY3x19+4rv5Q6f+9H4fp2lK/2ycvr3rI1eKXIFpGGR5ztWOkNkoybStriLNFA8faTFff4v/ds3wvsaMeM4ww71CrSH9ZVcvSDn7YH5zYWi9evzwXPa3ilJ16mlYlNoHXRlGKqbqF1ak1L65LhvkyjEhloOekNYslYGIeW0zYxhCNDs7Mmhh2kIEDhLrKBI24bgH1Kt0alaf66ny9ryoVEksf2fadD6J5A/FUNKMXL5fYRjmfgKmsiwM25Epc8OUPuBUK9zLR+Qmp78nPyt6dA1T1lyW6p7gTBR305J0o+ImL46EBLoJXHyF7MIrBNUWw+OPkDfnGUcJ49xijojdm85xvuaz3hmz2QvIsvyGQRpnMsAd94krDaxgTHtnnTIBdBwhunGs7ZVu00KTalP6Q/q652s+O7rkD9CP9viZ53+Sn3vtX5GpDMuw+fq1P8u3feJ7qLo39nHmOuzAsd9Ev/ghqHgOFc9hFCYMgpj1zoiq7+yX3YdhwjCIObfZZ6VVZq42I58z3IgZ8ZxhhnuJ04/IRlT0YtqO2AKZFpw8K5vr3US9KcNHm1fFn3A8kCGHQU8rkdrWaDISMvnyM5JqtHxEnpelEslpmNMyPAjJXFoTAru7Icew7akJfRLJRm8YWu3UKpNXkq8NU5jGYCDEtOjrLCbTbXs6zT7jnO9b5LYDysDIU3LDxHBcLJXLjYqj4y6NXBT4tZOyNgY9Iaa2Iy0beQbhGPyqfD8Kpiq70nZdRb8wCio1JvU5BsMJ1vYW6Thia+0RrqcutSig2m7ecp6GYeDaJr1RQNO3uZxkKKXERkjJwJyZRFS2LhGMxzgLc9Cqaa/bXbnutq6JXdMNb0AmhPSBRw59f1ZaZS5sDdgdjvil6/8L/+L5v7/fx/nxxa/nT5z8DpYrJyjZt5bSB5OYaslh4W2qkJ5jcXShwlPnd9gZhFQ8h5IjVCLNcqIk4+RSnTTLubI7uifEcxKlbPcDxlGCZRrM1Xzmav6havEM7z5mxHOGGe4l/BI89iXQOSLT2VEgww5zS9Ljdbdj6wxD+tniEF56WgYwOjuiMGaJDPhcuyzkMQolJtNyhCQmsZ7A90TV3LgipNL15bhLR+TxW9dEJbVdyWyPI23QrpOIsnyarw7aCkn3kU5G3NCXaVhTg3cbKe3P8L6FkefkhkVu2ZiA6ZWFbCaJTKvbjgz/FDdohcNBb09UQtuFUVeG9jwHck1EM12iN5GboDwTdbRcITFt+oMJuWnjVOvU0hAz6dF1F4n3JlygzlxBKjWsYERj8xLtjQFLdZ9BN2UYLFFaO0ru+uSOS3l3nXQ8RtWaVGpaZbVtqXQManKdtOblmjLNqc3Z/JI4ThyCdtWno57i+3/1u7g6OgfAidpD/Nkzf4svPfLVPHykyZXdEdf2JsxVPcqeTZYrepOYOM350PE2JfftbfvjKKFd8fAdm84wpF31yHNFkuVkuWK+5rHWqhAmKVu9gDjN3tUho2udMc9f3WMQxJiG2DzZlsmRuQpPHJ+bxVzeB5gRzxlmuNdwXNlMFXDtopSx93bFnHrtuPj6vV0CqtTUP7FchfkV8F6VYYqdTekjra8Kqezt6B4znZNea0p5cjSQAaI0hfkW9Duy4deb2sy7BCfOiMrUmpOS/d6OlMVLJSEK4UTOochuT5M7TJ4b06jMWWn9XcHNvZfv5hatACPPsMjIMTBRGKOerNd6Q8rSWSY3M1Ek/ptrJ+DUw9NkoMlI1mfRC5xl0/WTZSJyxh1Zo/U21BoEKRhRiF8qoWwblcZ43U2OlnNerLTZoIofpVR9GVByhl1ql76It9uhvrpI2TY5bU24fvmLbPf3CI49BFaF5e0Nktoci80yXkG8VC43T6cflushCvQ1Yci/A6vH5WferSrhy7sv862f/1b+w7n/AEgf559/+Dv4P538U6zO1VlrVaiXXeZrPq94PTa6E7qTGAtoVDweO1rn+MLbGyo6t9lnY29MlGb0gwjHNvFcC9swqfg287USzYqLbZnEmUGSZuT57a7vu4/OMOSZS7soYK09nfyPEpm0N02DJ0/Ovy8M7t/LmBHPGWa411BKhnXOvyTl9kp9Wm5+/vfl7wcefXNengXyHK5dmqYj5ZlYtSglf1frolxWm0I6UaJMZqmoSslElFDXk41/d0M2974jg0jhRJ5rmkJAXV+I8ke/UshtHEobwWR0IIdd92keFo1oHIjuLPYGpeSxNw8RzXDXcLthn8Otjd4mDBNL5be85kEqYBYBACrXNyipJmqhKPAq0BWCUNTBJz4h62M8lpuh5VVtFh8KofNLWunMZX2b0uaRWRZ9p47hZ7jhEGc0wA4D8smQulum0lhh1O/Tn7Sp+g5GllK5/BLp9evUfIfGYBNGJq16E3e1Tbu/y8XJLvHiKpXrDRbtDC+PIM5FtY1DqLfkhrLbgcc+OvW7LZelveUmUrQX7PGZX/kM/+T3/wlpnuKYDn/jE3+D7/vK76PpNwnjlN1hyN4oYhQmzNd9njy1wDBICOIU0zD2yeBbxShM+ML5bXYGIa2qR73sYpomV3bGJEnOybU6rYp3w3MmUUqj7OG8i2rnld0RQZxyZO5Ggu05FvM1n+t7Y04v1cUKa4Z7hhnxnGGGe41BT4zSy9UbIy5dX4jdlfMyyNNeeOPHzHMp2730DDz3u7J5lypC+F57QRSi1eNC6oJAT9ZXphPDBcnNs2m8YBSK0tTdlTJhmsowULUp/Xc7m6LgfOprde9dV3rY6g14/gvCLFz3wNBHLspOmgm5LVTdQiA5qIRmOplI5fCW/KVmeDsQa6O7BH1jcUefeNMWI3m0Ut/ZknaPSm1qFD8ZC9G89Jqs3yc+IYRO5XLw/kAPomXT3mXDkP7PLIVBB7w14lIFLAM/SzBVn7RUIWgtE6ye5mQwJu/16G66rKtVSv0dWpdepWGktA0f2yzLtbZ9jYrrU6nUWKnF8NCHIL4KoyGEE7IkIcxNotYqRmuBaq5wHG3p1Ggd+hakeco//f1/yg/8yg+wF+wB8IfO/iF+8ht+kjNzZ1BKcX6zz2sbA0ahxHYaQKPi8vBai7W5CrXS3Yl1vLQ9ZHsQcKRd1dPxsFD3ObZQ4cruiPXdEfWSuz9kFSYZUZJxbL76riUYJVnOVi+4xVu0QNmz2RuG9MbxjHjeY8yI5wwz3Gt0toSwteZv/ZlfFgK3vSHDPMFkOnhjWVIGLzKmC+ztwKVX4OpFGQxKU1E3yxUhl7WmHPPVF6DRlM08jXViUapLlXqTNi05fhzCznV5fdvRA0KWPHb7mpQti420ILLXr0zNvZNIzs20EFaQQq4NvS0FuaEHR3Q2+2Gen5YB2W3M6Gd4y7hXAaGF/pZhSmiBLoVbtnY+yDMwHVmHsV4/wQRG+iYlL25CLNi8Bkvr8GXfINfRa18UJTEMZC2nmRDYPJfnxvL/lm3jlTySvQ7OpE/ilcn9CuH8GkmtRVZuspxe52G7R7jyEOXoKvPGGG95BetgmlG5Ig4QvY6+Flwxir98jl77CNd2BwzinDw2MDZHtMMurRPHWazWD0tw5/PnPs+3/sK38uLOiwA8tvgYn/2Gz/L1p79+/zGXd0Y8e3mPkmux2qpgmmJvtDeKeOriDrZlsNQ8xKbtTSJKMtY7Y5plb590gtgpHZ+vEcUZVztj6mWXVtUjiFLSTHF6ucHR+bdnVv9moJQYcRnGHZRdw9CPm+FeYkY8Z5jhXiOc3DGbGduVpJPdLbj8qpA504FmSybJj5yQ3HTbFtL5/O+LOjkZC5Grt2QD3tmQ6EvPk803S2Tfdh0puQcjUWjGQyECS0fF3xNE5YxCIQFRIGburTp4ZSmjJyGcfkhKhYOuZNDvbYFbElVTIaTXcSGawCQT5mGY01hN09aZ8IgKfNDYvSCksz3j/QXTEpP4ggwYphBOy9QKN9OggEy3WxwkDkkyVTKvX5E1evwBSeCybVFJbV2aR8nXjgtGIER0+zotx2fS3SInQ1UbBO1lotYSSin6k4jm4hJH3QirkoEVivR7WIRmtSYEOBjJ73H0NMOtLTZePUfoVmnUqzh5ij3qMbB9nsrbPNyZcGJxWuV4ZfcVvu0Xvo1/99q/A2C+PM8P/1c/zF968i9hm9PtOslyzm8O8GzzhhK3ZZos1EtsdCdc3B6y2Ci97X7GOM1JsuxQJbHiOzx8RBRb05Trc6Fe4uh8ldV2eT/S892AY5k0Kx6b3cmhSm+cZlimnPMM9xYz4jnDDPcarneH/kUFW+tTS5hRX3rcoglsjUXBmYwke/rMo1KyDwNY1P6gIMTPMIRQ9rsSGWjZMsGexqLWpImolYqpSqkyifSrVOHqOZhM5Nh5DlVbiIHnywR+Eslm7Pmigm5eFS/QyUisY1xfSpy2DcoXC6k0vbFvtUifKabcMW8knxhaGZsNGr2nYNz8Od6EPGffI2u/r9fQUagR+0X5w246HFuebxhyk/Tb/xn+4J+E1ZNiJh+OdZCBq31lSzr5SNt7eSVK7TmyyZg9VaI/t0renJd2zCCiVnI4tlTH6m+L6p9lcgMVh7Kmb/xF5XqqVKQaUa1xbv4M/U7O0XyAOemhTJtw4Qjp4jFy5XNus89qu8w4GfBDv/pD/KPf+0ekeYpt2vz1j/91vv+rvp+m37zl1+6OIvqTiMVG6ZafAfvG9qMwfdvldsc2cSyTKM1wbZNxlNIbR8RpjmObVDyHxWaZL3tomYW6WBbdi+EdwzA4Ol9lozthHCY3EMw8V2z3w5mv6H2CGfGcYYZ7jfYiXHzt8M2s3xUVc25JhoDyXNQbAyGLk1fhzOMyDe+4cOWcEMDRUDY/VeTAGLLphmPpj3McmVTPEiGHo4GQWdOWTToKJL2o0RaVNAzlteeXhPy5JTl+vyukwta9m3kmJcf+npzfzqYc23HlHMJAnr+fUqStbTCmJDo/pPhr21o5zaXPNMvYz/ee4f7GnZo5b/6ss0zWiuNApkBFd3gyU4suU5fjr12CCy/Dg49DZ1PswixHSGex5iJtwN6ag2oT8yv/ALULL5MHCZlZYhSmlE2To/Me7aqHZ2mlXZNJag2xDYPp9ZrncsPmeHK9ILZDG5GFd+ZxOkaKmSYoyyLzpfzczHOu7w35B7/50/y93/47dAKJtv1DZ/8Qf/8b/j5n527y+Dz4tuWKXKnbDgzZliGD/HfBDcJ3LFbbFV5e79IdRWz1ApJUTPMzpQjilGPzVVoV911VOA/DSqvMQ2tNXrneozeJKLkOWZ4TxBmLdZ/Hj7XftZ7TGW6PGfGcYYZ7jeYcrB2TIaJqQxRGDCFhV89DuSbl68lIiGBRlldKSuDrF8ViZuu6TJ2Xa0LUEp1XPdGqj1KiIKlc1MZwog3dJ7IZJxmYSnou621YWBKV9NKrOr6zKeQ1jeX7zTnZ0PtdIYXrl6Scv7spJKAwkU9jTWotUTNhao8URdoc3L3R8qmAZQHmNDbTttGNgLr8etPjZ7j/8GbJT6oTtN6Ii0Fx04IhBDTN4IWn4Mu/CY6cEhKqDFn3man7PJWs3UpN1rRlYRw5QfPcizQXF3VbxwEM+3KT1pwTpX7rurSmdDtCQE3dKuCWYG1ePGyBLFdk2kMyd0rk3o3q5Be2/gt///e+j6vj1wB4dOFRPvuNn+UbTn/D6/7aJc/GcywmUUrZu3Ubn0Qpvmu9bc/OAicWa7x4tcuL63vM10q06x5ZphiHCb5jkWiz+DMrzbvyem8VpmHw0FqTuZrPtb0xvXGEazmsHK2w0irftfdjhreH2acwwwz3GqYJZx4Tonb9itgPgSiX7UXZuF9+VsjdwV5QQ8f/9feEmJ56WDZH15djdndFRe3v6Z40vUGaFnS2hRwuLAlRtXTK0KArz2nPCQkeDYR0ZolswF5ZekTDCXQSIcL9PXB0+XxnQzb3JJG/q3Up4Y/78rqOKwMiKtO2SiZgyjknMZg6rUgVfX0ZGIXipUvxhbfnTLi4K7C4dwNG+zBNWdtpAmiiqJgmWt0prsqyZY1kiRDJPJNWj498KZx/UaJfC7cGvyzDR54va7nWlNddPibq/M4GNOflWixUzHAiVQW/DAvLMqjX144NUaDXaQ6TgXjX6khO37HwHJsgTm8wLb8yOM8/fPoH+Y3rvwhA25/jh7/mh/jLX/KXb+jjvBPqJYelRpnLO0N8p3LD0E+a5QyChMePte+aWXrZtamVHBbrZXKl2BtF2IZBteSw0qpgAJe2RxxfqL2rZvGHwTAMFhul27YhzHDvMSOeM8xwP8BxxavziO5N01F+XDkvk+lFdOTNSOKp6tOak+GKvW0hhCAbbrkiSlASySbb7cim6lc0KRyJqXVBGE0Ttjcl0Qh0D51WoLavQ6stzw0D2dTDUDbyfmea9+6a8nrjoTw/VzKAlCVCJm1Xfx+wNSHWUYMY+ndVyPug8ikBUYXCdZuevxneEkzunET6jlMJ2xXSCLKGUfJ3lonqncS3b6vIUr1elKzvakPWs1LwdX8YfuXf6ecaMkinkGui2pBrpqWJ5iNPwoWX5KYs18bzlSo8+AQcPS2vVarI4159Tm7sskzI6WggJf3+Hnzh12H5KO6x0xydr/DFK3tUfYcgG/I/Pv9Z/rdXf4ZMpViGzR878xf5x//tjzNXbr+pt8swDB460mQcJazvjan5Dq5tEiYZ4yjlyFyFk0v11z/QG8QwSEiznMePt8lyRZzmMqjjOfvT9Fu9gMEkYb4+Swaa4c6YEc8ZZrif4JdvnJidW9Lf93RvYyoKD2jrI20RU6qKuthoy6a7syGT4bXGVE3Kc1FrMEQJKsyqBz0hiYYpBNI0ZJAoz2V4oxhCKmyOenvg67K3bYlPZ6Z7O4t8ddfXitFQFCBTk4dUK5l5Lr2mhk5siUP5ObBfOj1IhQ4Op1hvsAz7urijk+QHCgZCLm92SX3TFMJyZI28md5b05S16LrTgAHHAWskbSJ3TLdCzrjo3xx04exj00jNYw/Ahz8p7SjFQJ1ty3NMS1RLV0+FN1rwoU/qFKRAzqvRvjVFqN6ED3+pEM+LLwvxXFiVwATbknM+9wKMh5x84Am2Bi7/03P/nP/1/OcYJF0APjL/1fy1D/0Af/TDn6JVfmuekvWSy8fPLEpEZmdMnOWUXJuH1locmavc1WhIhZJWWtPAcyxuPmUDQ+4L79PrKVeK7igiTDIs06Bd9e65MvtBxox4zvD+xsG+QedwY+H7Gu0FUUGvX56WqS39D2akyaJSsLgsCqlhwvEzsvHtbmmV1IAHz8LqMVFsNq/KEJJhiNVSf08IJojiGQWiLDqe+B2amqCZeordNEUxQm/09ebU1qZQNqNADwAh77+hp5Rt/TrVujwW5GcHh0xULn15h6Ho7bwruD83yXuJtz0ackPPraFvEvQgmGne2u9pGEISPU9uVoZ6QKcIFPCKm57XO3HrpuE0R47rl+Cxj8kNWJF0ZJrSw3zslNiR3XAcU9pV8lzf5N2GnJimENuLr2p7MUfcGxotea1SGTau8uvRa/zN3/9xXth5AYCj1Qf4K4/9AP/Nw3+A4/M16uW3929SxXN4eK3F2ZUGaSb9pG92eCbLc3YHIeNomnLUKLs3TKZXfYeq7zAKElrVW4nyMEyoeA61+9CqqDeOeHG9y04/IMlyTMOgVnJ5YLnO8cXafqzmDO8eZsRzhvcnlBLitXlVFDqQstrK0amK+F6AZUmvWmdbTOENV1TEJJFNtVQXYnj01HQowitpb0NzmtgShaJser5s8K7e0IOJ9LlNxpJ9ncbS+5lrwp4mcg7FBHxhjZPnelgpFqKQ52DpPPcs19ZI+TST/SDhKMzBDVOIx2R0q4JZlE5vxr5p+EytvO9hMCWbCn2joYMC8sJtQT+mWJeGDkdAOx8k+saquIE6zJbJNGV9Op6s6/MvSc90a05+Xq7Awx+B42elX9OyRGE9jFTGkaRyXb8ixNJ25N+M5SPTSkSewbkX4Yu/K+EJzXmxcurtCvE8corX4h2+7bW/x8/v/R4A7VKb7//KH+TPP/F/pezefbXNMk3eSiJmdxTx3OVdtgcydGhg4LkWR+aqPHq0tX+erm1xfKHKs5c6lPVgU4E4zehPYh492sa/z4Z3BkHM75/foT+JmKuV8B2LLM/pT2KevtQhV2J0P8O7i/trlcwww93ClfPw2vOyaZV1bu/GVelRPPOYELX3ClwPvuoPirL48nMHNnE9fOOVpOw3vyw/27wqgxK5jqRc1LnV1y7JZrq0Ju/JqK/zrwMhlXE0LW2aeprcKF4nlWEMx9WqUj4tRRabeRRODb4NbY9kIM8v+lCLCvqgJ8837cPJxG19HwuyYshzb56Cn+GeYl+3NkxwPUylMCxL1muRRpUfuGEoBsjGQ1kzK0emA22xdmUwdLKRacsaVXrt5UialalL6H5JFPEokPXh3qTMlStaqb8NohBefFp8cz0dfBBHMti3vQmPPSnXzea6KJ1eSZT7qu6lzDN6e9f54c3/nZ/e/UUSlWIbFt/ysW/hB776B2mX2nJNdHfl+gxGcs7zyzJEeDt19R3C3jDk88+sc7UzpOTY+J7NYt3HtS1e2+iTK8WTJ+f3lc+TS3VGYcKl7SEg+edRkqGAk4s1zqzcvZ7Su4UrOyP2RhFH5ir7yqZlmrSrPt1RxLnNAWtzVfy72JYww+tjRjxneP+h35XeK78kykaBSk2UifMvSzmt9h66063UYOW4KDF+SUrWpYr8HqOBJBude1FM2zf0xmnr0nitoQd+XFFO/TKsnZCholeek/JmuaK9CotSdqEuaQKZpuCis9ZLktFe+HLubWniGU9z3jPdy6lSbhg/N0yEiGrV1DYOL8HeDgdFzsP8Pme4J1AID8xNm1wPghlZRqbAUpn4O6qDKrYxbbsoeparDRkyCsaynsoV6Ef6JkaJ52txQ2KYOmpVgZHLWo5jWUtrx2X9DXpyfbxRXD0vpHJxZXpOMC3TX3wFHv7wtO3FtvXAmyIl52e6v8b3bf4su5l4fP7B9kf5ycf+Bg/9V39WjpNppfTqeVm7jiuVi/WLYsH04BPvWjtQEKf85y+u88L6Hgt1H9syCaKUc5sD2lWP1XaZ9d0xJxdrtKvS4+pYJh86McdKq8L17phJmFJuWiy3Kiw1Srf1FL1XiNOMa3tjGmX30HJ6o+yy0ZvQGYastd9ctGecZuICZ5uzUv1bwIx4zvD+w+6mqBfNQ7LPa03ZXDpb7y3imSZS1ltcvXUzbbRlA0xCyYqOJqKizC/KhPygJ2TVMEVZ2lyXIYrJWP4/1YTRtmD5qPR77mzIz21nOmU+HggpaM3B2kl5zN4O1Fp6GEPnYaMVT8PUU+hKCAXosuvBfk4QJdTU1fNiWl3dWm4viEqqn39QOZvhnqK4bcgNC5McQ4ljQW5YqBwylWMpJZ9zpSI9kaYOOGi0ZP1dvyyKYp7LTVUwnrocoET1VAduagrHA8eTY5qWtHmM+vDKF+Hxj96ZeGaZXC+xDjFYvyTqpXXTtmhaco47G7B0RFpdylVZr67HL+09w9/s/CxfDNcBeMhe5B88+Ff5pupjcPZj0+NcvyzktTkn12OBJIarF+Vm8cyjb//DOAS5UnSGIZu9CcMgYb0z4vkre8xVPZoHJoWyXB5Xcm0sy2BvGO0TTxC1cKVVZqX19jPg32lkuSLL8tuW/01TctvTN5GEtjcKubo7YrMXkCslyVZzVdbmKvfcPP+9hBnxnOH9h9FANqPbwXFE5XsvYagtW9oLh/98cUU23FJZ0lWW1mTDHA3EXH7Yl1Jnta7N3i/CS89IukuaTnssCxsjQytSpar8LEllxLlSF2Puak0sZeJQlKksFUXK072lUTAd+FC6zKq4tYSeJVIqRXFLRObNPZ6mifQI5gcSmWYQ3Lue1+zAa++TTkCZtla/0wNKpSGkE0P7tppTxTuO5MZwYRkCHc1qO7pfWMl1W1h7qUxIpmlBrS0qfp6Kamoa0tf94rPQWpS3ply7sZR9/RI89/tS8gYhtcM+nHxQImVvNoktVeQGLg70NZLzWrrHd+z9a/6PrvRxtqwyn1n8w/zV/GEctSzX4MKKPD9NpdXFL91IOkFUzlpDWmSOnjw8B/5tIMsVL613efl6j71hSG8UcWV3xChMGAUpZdfeJ2eWaVDxHLb6EzzbYr0zplpymK/5952i+XpwbRPftQmTw032i0GjNzr9v9mb8PSFXcZRSr3k4Fgme8OIrW5Adxzx2LG5WSrSG8SMeM7w/oPt3NluJ8/fexPuhc/l7e6qLU3yvDKwp3s0mfagFb2Xr70oRHRvB7rb2s+zJENGwVgGJDwfqk1o2jLwkWUyeIQhk8CjPjzzO0JGF1Zlj85S6CdCJmxHk9lkqpYqdftpdENNfUJvB8MCS39maXorgZ3hHkLp/5qYWQqmgTItEbLzDGWa5IYNKsXKcyFwjjMNQ+hsy+eZpUI+Gy0IdnU53ZK1bBmyBmxDuy0c8Pg0DCGO1ZaQtomOaH32d4S0lspCSI+cEEX/4ivwq/9e1P9KTa6pSSjngfYCvfkGT/9eeGX6FY+/8/RP81Mb/45EpViYfEvrq/iBytcwl1pyw3b2cSmdF32mwUj6VmvNw9/CSlXK+ePhXSeeV3dHPH91j8E4YhAkkp7rWuQqZ6sfgKF4eE0GiXIU4zjh2t4E1zZwLIO9UUi76vHI0fZ7ypTdMk2Ozld4+mKHeim/hTh3hvJ7zb+B7PY4zXj+yh5xmnNkblqWr/oOYSwtCvO1Emtzb65k/0HFjHjO8P7D3KL0PB70vCxQeALeTjm8V0i1CfbtBgxK2t9zMpbN8mbsbmo/zljUzPEQFtdESVFKiOWwB5uXpeytcnlvbEdKfIVKGQZ6kCiT11lYktLg7tZ0enhnU3o955fEIWD7urx2pSoKazHwUyhTB8voh6HI2r4BxvQ5hiE+P0kIac6drc4/qLhf1F/puzRMUz5u0xKhu1C/C49Pw9SKeAJBMu0N7u9Ky0eWkpmmdkiQXmNrcVFuhKJASuR5pn1DlSjxpm4lKXo9o0DWd60pN0vPf0HCE774e3KTtXZiGsqQpXJ97G5D/Ro029ObN4BBj6xa42fO/yzf9yt/mx2dq/5Ni5/ks4/99zxcPiK95b1dGV58/GPcCP06t7sG1E2Pu0vI8pzLO0OGk5iBtkJK0pzuOMa1LeI0YG8UsdmbcGy+Rk9nscdpyrH5JmdXWxgG7A5CvnBhh0+cWbyh9H6/49h8jd1ByNXOmFrJoezaJFlOfxJRdh0eWmsSxBm5Sim51m3dBnb6Ib1xzErrVuLtuzaWEXN1dzgjnm8QM+I5w/sPc4tSrtveEILp6n8oo1DUvqUjMkV6r6GU9JpurstGahhyXstHJE3lIEoVIZKXXplO7xbY3ZShhda8bMCtBekn62xLqS9NRd0c9KSc6PqiOFVr0q82Gct74/m6xKmEgKpc579vi4J04oxsxqYp/p9polOFlM5a18NIaXog5hL2Iy5v+z7kQjBu/Ob0OcXk8wz3KQwyw8JUuW7ZNVEql6WR60K8acsNT6pV7USHISim3p85EMXkQUCCQRLlpLaPkymsPCWKUrx4gIXSw3M2GDZksUyKN6Tknqmc3HIwowDL82RtthaElD73u3KjtLQKhkGU5gRxSq4UbmOJ0vYlrK2rMqBUb8naHPb5pc5TfHrj/81zey8D8FDjNJ89/uf4A6WHIbBgsinX5EMfEuKJ9FXuDSN2BgFhFLMUmTSSLuWlJYybCeZY940WE/J3CeMoZW8YMokzSp6NbZoYjkykx0lGu+qy1Q/Z6k2o+A5bvYBxmNCsuJxdbuDYohIut8qsd0Zc2h7eQDyDOGW7HxAlMkA2X/dpvE1v0rsJz7H4yKkFWlWPq7tjBkGMZRicWKhR8RwubQ/ZGYbSVuzaHJ2vcGqpfkv5fRKngLptH2fZsxkECVmez3o93wBmxHOG9x8cV3z7LEeIXbI7/f7aCWngt++DpX/lnBDGYphCKfne1jo8+CHxDzyIk2dFqdm+Jr+L44nCeOlV2XQffEI2v2odGk35/vNfkJ61hRVoLwlxDQMxfm8vynG6u/JeFcpknuoBHkNK8u15UY6e+S15/SQV4hpMZOAiCoVQRBMxnC/6L4thjxne37AdjDwnwyDHwTAURq5QBmSYMoOTJ1gHc5CKfPODdySWBSonmwwJ7TKGynEwsAxI3BJJpkh8n2q1jGVZchM1mUhpPpyQRSFhFBMHEXk2IS5VGY9hwYtplFxR8Lu7kCZklk1nENIfRyRZYftlMmdWaQQx/u4mBBPOj9f59vX/mX+j+zibfpMf/Kof5Fs+9i04YSjXR6CH8Frzch2aJmmW8/yVPS7tDMkyISPbeYO16y/TykxWVhf0O4NcP+OB/Lt0ICUpy3M6Q0nbsU2DuZr/ltKI4iwnSTOqnpT9LcOkXfHY6I5xbJOmNosfTmLGYcJc1efMSoM4y1nfG+OYBo2yS6PssdUPCOMU37W5vDPkpfUeoyAWEwwFJc/i5GKdh9aa9w0B8x2Lh9ZanFqqEyU5lintA09f3CXNFM2Ki2UaTKKUL17Zoz+OePL0wg3qp2Uad8ytSHOF55g3mO7PcHvcB7vvDDO8AyhVpNw16IqaAELI6q1pee1eotcRW6fCC7BAtSE/O/eCbKiFBynIpvTYl8D2ilgmRYH0ts0twqmHZOOejGRDThMhlZ4Hxx+Q6MAoFCuXLBPyub0hJXOQnrk0Fh7g+aAiIecVXToaduX5cSLEdNCTYxTm74Zx45CS4i7FWs5wv8PS/cMKg8wwsVWGRY6RK0zDQhkGRpqSGamQkRxE0dYtFra3v1YyDJLMwDISnCzBSFOUZWGbJmYWE4YGketSXlmUtpJBV8rgtkU06JOGMbZKUaUqvcWjbI9SumGPU4t15mpa6Y+g1xuyG8lgSd0V54ZcKcKRzcRvYB17gH/00j/hpy7+78S6j/OvrnwTn/nQX2fuoU/IjVrFObztBXhts8+5jT5zdZ9SMVXdfICxlZFcu0A5GNJqVInjmHGSEy4cwWisMZ9JL+J2P+Cl9S6dUUSeKxSKmu9ydrXOycX6GyY4Fc+hWXY5l+TkB5hTveyQ5SU2+xMMA6qeRb0iBHSxUaI3idgeBPvt2b5rM1/zqPgOmVJsdic8c7GDYxusHvDIHIUJL613sS2TB1ebb3VJvSNwbUu3F2S8tN7DwLihdO7aFhXf4eremMVmmVMHsu7bVQ/ftRhHktB0ELlSjMKEU0vtmbXSG8SMeM7w/kURf/dmvPxeD2kqJezta0K8yhVRE+eW3pwB9O6mlBsP6zVttEX17GzfSDxhqtqunRCl9OVn9fCFBRtXYGdrWgLfui5/7+3CyYe0fU0uJBJEqYkDIZyWq/1BHSGeaSo9mnudqRJq6NSZKJkOhLi+NvoujNyLf3i1F+h903s4w9vHwU31oM2Vs+/LalsGseljxhMs1H5SqsDULSLpNImoWLsq1/2gBgqFnSXy/7ZDWq6AYWEHI7w0JZvoSXnbheYcWZwQhSFhlKIsExdIShVoLdKu+AwmMVc6I+plF6dcIY0iJr0BXqWJd0DVMvMcLw/5KeMK//QX/y6dWBLPvmHh43z2sf+eR/016eF88Qvw+CekVeUQhHHK5e0RtbI7JZ0gLQgnH2LdqbPT7+DvhexEPpNqCyOdp3yuQ6syYqlZ4tLOkDjJqXo2vUnM7iDg8vaQl691+dIHl/joA4u3JTlxmrHdDxgFCYZpMF8v4dkGe6OI5WZZf5IGNd8lSnPsmsFqq8KDR5r87mtbDCYxda1wyietGEcp5zeHnFlt4Foml3aG5ErRrt7Y81j1HdIs5+LWkOPz1fsuyQikX7M/iQ+1hHIsk5Jrc2VnyIkDcZqNssvx+RqvXO+hFFQ8G8MwiNOM3YEMKR2Zq95yvBkOx/23KmaY4X5FEgvR27giZMxxRZ28dll6wh58YjqpOx7qCW9Xhm5u3iT63Wnv6c0o8qvHgzufT55Lqb3XEZVzbxvc0jQO03FFyexsSV/bZCTleceTY2cZpAjJtDMwK3oqXgnhTfWUcXHqlnYLyFKJqDlolVTAdbWnaPSm394Z7gUOuTkoYlFvwYHHFbZblgW1BvloiGFk2IbCICMtVzHCCWCQ2zYqURiuh2VpwmmZB5KM9JBQqUzieGRBiElO5pZIyzWiehs7nGConMCpYKtMepPDMZHtM0pMoiwldH3GtQWcNMTIPeh1oVKnWnLojiL6nR7zrQVGTo3o8lVq0ZBceeS2g5Gm/F7vKf6W+hVe7G0AcKa0xmef+Jv810tfNlUYF1YkUnPzCjxwuOdmfxIzihJWm7cSm0GQcClyuDysUHIbVCoOlgHuMCL0Us5t9OmOIiolh5OLNa52RkRpRsmxKXsOnVHILz1/Dd+xeez4rQrb7iDkucsd9kYRQhmR/PWqx3pnwuXdITXf0Xa5imbZZa7m8bEHllhulfjtV7aIs/yGJB8DA9+2pCUBRRBndIbhbXs56yWXjd6Y3jhm+T4knlEq3sK3sz7yHYswyUizfL/cbhgGDx9tYZiShtQbR6DbQBYaJR472qZ6H+bU36+4/1bFDDPcr7j8mphMzy/daMcUR2IAXa5K3+TV81rRTMWMfW4Jjp0WJbOA7dx5YCbLZHPvdaaxmAcVlp0NyaS+fkWI72ggqqPniy9mNBEvQ5VLe8EXf08IaZaKAmzZBybQDciUEIBGW44zHEgpX6npQFEaS9LKQQIS30Qwc3XA8mmmdt7/OOQzsizEtFUr3ElyExE1ZP1k2S1PV0oGgbJyjcR2saIAZbsopTAsW64HK9NDRqaeYM/lhqXZRhkOIRMMcpRtkTsehmkT11qYaYIz6OJlCZQdMqdEVzlktoFtBYT1RTpHHqEx2KTSuU68fR21uIZjGfjBAGWa8OEPM4ktBoOUStzFigLWR1f4gegX+Q/qFQBKZoX/m/+NfO8n/gqL9ZuGfQxTBvi2rsHxM4fash3MPziIOM24sD1gEiUooFXxmKv5RGnGhc0+UZqz0iozjGJypXjq4i6ubfHAUn3fCqjkVNjqBzxzaZfFRonlA6rdKEx4+uIuozBhpVXa77GMUyFRD6459EcRG/0xQZzjOzYVz+bYQo2j8xU6w4hG2cUwoDOKKLkWlmkSp9m+jZBtmgyDhFwpzNsQN1P3Q+Z3aoq8h5D3UlorDlON4zTHtc1belQdy+TxY3OcWKjTHYXkSoaK5mr+zL/zTWJGPGeY4Y0gCqWvsla/dbNxPSm5n38JrlyAcAz1NtQ8Uf6uX4H+nvScFuRzfkmy4/PsRtsWEDI4HgjJvXpRE09P0ohOPCiE8IWn5PtHToqSuXlVPzeT84mi6TS4aYm34V4klkxzi0J8F5aFVOxuCtlUSB78eCD560XJ3vK0MHbTMMihKIiqzmA/SFhMaxZzeU/wJloeHFduXhxvOjBWuBWY5pRVFWb+Khdl3zAhTzCUIrdsMq8MeYaZZeSWTVxu4Fcq4DnSopJEcvxSeTrpbhg4nosxCVFxSO7WiWtN0koTgChN8ft72EYOYUDkGqSZomJmdMtNDJXhx2N6zTWsNEaNxxjb1/HLHgPDJj71CJx6GGccs7GbMgqv868v/A/868G/JSHFwOQrlv44f9j9Izyxt8XV3RjfifEdi3Ek51jybHzbmfqIHiJy1UoOZc9mFKbUStMH9MYxozDZN4JolF0Uit1hiMLAtsSCquw6JJnCMCHNcvpBzJyeJDdNA9c2yTLF+t7oBuJ5fW9Mbyy55Ad7QF3bYrVV4dL2kHrVw7ZNbMvEtUxM02SzO+H85oBG2cV3bVZaZTrDkM5QBq88x+LoXJVG2WUQxHiOScVzGIfJoRnnkyjFc6xDTdvvB8zXfKq+zWAS06zcGDSS59Kv+eETtzeDr5WcGz7XGd487s+VMcMM9xvGQ+mJnF86/OeVKlx6TVTJxSNCsFQuRM8rSan70mvwxMdFCplfFgK4szGdLgfZ0C69JsSv3pTsdduRr9cvSonRMEVpXFyV59SackzH1RPrezJcVW0I55iMdPk9FT/DLJV+zuacqJjDPsSGTKlffk2TYUMbdNtCepP4DU6oK12az29VyQ6ayc/wLuIO77dhTl0IXF9uoILJ1AMz0z6stvZ8jWP5XqazxrXPqlGukI1kzSvHw8hSjDQmrjQIsXBVilPypn6vx8/I9bS7CZ4ta9i2cSyLUrXCaGKR+nWyUgNDKZI0J0pySuUyJp6U6ScjbLdGUm2RWGXC/pDSuMe40iYq1bncPgNLqyw1KwztEg89fBwsi2bF4ddGn+efPffj9GPx43y48Sm++YHvYcl/gHx3g8V8wCCMeOrCDlXfIU7FKsp3LJYIaMw12NkLiVWEY5ks1H3quvRc8RyOzFV45VoP37H2LYnGYUKeQZznVEsOtmUSJinjIKHk2iRpRphkOLbJKIyoeDa+Y9EfxzTLX9NnBgABAABJREFULrmCYRAziVPm6z6dYXiDarfZCyjp3sNbPmYD1vdGtCoeHzoxt/+YNMvZGQT8/rkdPnp6gbIrvqvHFmqstivkSslgl2nQHUeUPYd62eX4QpWnL+wS+dkNk/ZF5OaJxdp9Zat0EGXP5oHlBs9d7pDlxVS7ySRK2RuFLNb9mR/nO4wZ8ZxhhjeCYkoiy3T/ZiKqT6UmG/B4DDvXIZkTIqe01+DcAswti9K5tyPl7VpDVKWHPyKxk52daaSkpYnAyjGYX5m+fqkix7t6XtTXYw9Mf5YlQlJzhHimmhgEYzlunIh6mURS/jcMIaLb14RkKN2r6Xry/2EgxDOOgFxISHYzkbwNsgysfDpwUpjJW7Ym41otu1OS0QzvHopyomHITVKpAmGoI1K1xZbKRMF2PU06E1kPlgXKgCDAdlPJIDB9YsvBiGIyzycyPUp5RNl3sJJY1kFZBw34JXj849Cek7XrOFCtU641yX/5PzLuDxhFKQqFY1m0SzbV2MGqL4DrEvbGRMrEqrXwlEEUhMRhgD/YJXZL7DZWUXYdTJ+HVlrUyy6/eulX+fTnP83Tm08DMO8e4w+sfJpPLX8dcaboTyKWl1ZwvD721g6XYp9ji3Xma6KMRUHI5WtbrMcNsDv7Njslz+L0UoOzq00s0+DB1SZhnHG1M8Q0TFzbpDMMmcQJR+aqDCYxSZaTZIosV5QtkyTNsEzppwQDZUh5N0j0sFCU0J8klB2LKztDRmHCR09HMq2P2C/dbuCoO44I4nR/Ij7PFVv9CVv9kCBK6U0ixlHCYrNEfyAq78GknzjNGAYJTxxv49oWxxZq9MYRl7ZHWJahiXPOJE5ZaZV55EjrvrYWOrVcxzThwtaQLZ277jkWxxdqPLjWvGVyfYa7ixnxnGGGN4LC8uilp/VAjS47eyXp4dxcF0I6vzK1WIkCKZdHkRDJJJY/+8eswYc/Kb2YheVTHEH2wuEG96YpxGD7Gphnp99XWq3qbAm5M5DjZVp1zTJRPUEIRhhM+z33k1syea5TE2IbjOVnObqv8044UMot/BkrJQhCMHSv6j7ZzKd2OjPcYxxQn0slsc5KYiGAmXvApUEJ2RzHOrbSZr/0HsdyDMvEarRxHQ8zCDAmI1QeUapbOI0adhToQTVLbkaaDT1AN4SHPwxnxXQd28E0DOrrF6m88kVaVoRyPGxT4QxiOae5RYgjjCOLTPaGtMYDHAx8NWGAxSVsrlSPcS22OOM5PHq0jVPa44/9r3+Zn33pZwFoeA2+/ZN/i8XsG5mEBjkGVd9ioV5jruaxZZ0kurrLfLRHMlB0Ig83j3HCMVveHJfMBo95NnN1meoeBgkvXu1iGnBisY5jmzx5ap61uQqb3TFBnHF2tUllb8Tp5QbnNgf0x9G+GpqTk+Yy1JPnOUfmymz2QoYqIUxSglCIfbvistwqM5jEGAY8dWGXT5xZpF52mav5vHq9T7t6Y/kYIIgyFFDxbZRSXO2MWO+M8WyLRtnFtgxGYUIldMiynOudMb5n49omUZKR5oqTi7V9iyHHMvnQiXkWG2IsPwwTaiWHR462WG2V78tp9oMwDYNTSw2OzFXpjWPyXFHybOol574mzO8X3N+rY4YZ7heEEyFv/a5sfIXhezCBV5+HUU/SUfzydMMuV6VXrrMlj7dt2dQPwrTEUqmwVbp+5fWjM7GkZ9RxhSym2TQeNB4IcTS0Vc1BkldEWEYB9DV5LpWFQNg2NJbAyCHRdkppokmI7hNNUg6PqzxwfJQ8Zjg6kF6kplGlMD1GUXrPZybzbx8mbzpK1GDaY+z4+gbGlc8jCuQzsxxwxL4oy3Ny08LIFHm5ium42PTFCWF+CY6cwC5VsdMYrl2C8UhuytJY+p4tW9baoC/Hbc5JP/HTvwVHT4lqX+DBx7EGXSzblccYpgQZdLZ0WhZUV5ZJKktc7/eYyye4lk128jHMxTNYo4zHPYePP1jjnz3zd/nsb3+WOIsxDZO/8uCf4jNPfprW4gP80qUhWaaolRws09gnHetmhUv1E1Q71zk6nFAJQwamxTljgV5jhbLn053E+8TTNKAzCvn3T13hgeUGzarH0bkqR+YqrLWlbBunGb/58iY7g4C1doU4yRgEMQrFTi/Edy3STAaMjsxV+eKVDi+v90iVYq5qM18rUfVtgjijUfY4u9qgM4y42hnxaLnNWrvC5e0h/Ul8Q5lbKUVvElFybJplj1GYstkLqPrODT2aVd9hrS3DSycXa0RpRhhlNBouR+aqrLTKN6igtmVydL7K0fnqbQd17ibiNGMSpZiGQbXk3JXXc23rPZU//37BjHjOMMOdkOdCOM+9KJvl6YckQrK3qwcqcskQd1yJuhwPwT0wvV4Qzc2r8OiXSN/lneC4QsYOy5kHmRq3LCG7ni9TweOheHUaejI91znsSpNA0PZPttgnmUX51JC/41h7fGaiztbbok4lEZj6/BVy/JuFysKPsfD45MBEu2ULkU1vo5jezXL7bS2APggwePP59Qd7bQ0hmpORrKlM4gHJFeQRyvXIkwyVZSilRPAPJjAek1omluNg9DrSn1ypyQ2X7YjXbLUuLSZpqv1gLTBzyUXPc3n87iasX4BHnpye3vwyLB+VfuWFs7pSoM/38qtQaeBUKpxwFevhmP4ARsuPsDN3hjg1WWm7vDT+93zyX32GrfEWAF/bfpJ/cOSbebxyHM5fgmubnLZaPG0u0NTm6QV2hiFXEp/qwllK8z5DU9GN4NJeAIkBUUqciin7YBJzfmvIJIpJUkWW53RHEVu9CXujOk8cn5NhHtviwyfneebiLrvDkHrJ0bGaIWmeU3I9Vtpljs3V8BxJAArilO4oplX1ME0IkpSq73JisUbZkyGka50xZ1ebzNV8Hjna4sWrXdY7YyqeTa4UkzilXfUouRa5knaCNMvxNTlVKKIkY7VdwXMsbNPANA2+/KEVcSN4AwTvnSSdcZpxaXvI5Z2RJp7QqnqcWKyx1q7MFMr3IGbEc4YZDoNSMhC0flE2zkuviHq5ckyiKyfjqSJY1fYq1bpskP09vfnasuFORtLjeeLM66cmteZE+env3VpuzzPJYHcccBpCDh0PykyJw0EVUR2YIFe5KKOOJ8TVMIQoxInwlkpVSGeRfBRHQhxT3R9qO0JYb7GAMqZZ7Lkp5NQ05TUK4pnn7/w0+31FOt+C+vi28DbJu2FIX2eeyhrYdzAALIssllKkYRiYSqFMCb+MXZ/cMPCDCQ65rHGloNchTxOyXJFmCntnEzOOsJpz+mZDx7GWKjAZ6lCGnRvPyfPhoQ+R/cYvwNO/hZWE8n3HheYCNFuwcZW67fDAapvdsw+S1pY5YjmcG/w+3/3bf4tnt54B4IHmKX7y6J/hD9U+gtFeINfT41YwZmX3KjtWxKZ9kvm6j22ZZLlkrCdZRqNSppuaDCYxkyilN4mxDOhNIixTsso3OmNMy2ClWSYwMix9jN1hyGsbA7Z6Ez5ycoHFZolmxeNTDy6z1Q/YG4UEYcpau8zV3THb/YAvXt7j1et9Fmo+D661+OpH13hto0+tJJZUviMJQ7buzbVNgzjNyXKFY8Hp5QaNssf1vTG7wxDTgAeW6yw1y7xyvc/lnSFhnGDpf4cyldMfJ1R9Z79E7zkWkzBFKUV/ErM7CPen2xcbpXfVrzLNcp673OHi1pCq79CqypBVZxixOwiJjmecXn6dm/kZ7jvMiOcMMxyGa5fELN7QG6SrS5HXLkmp/eipqQ1Smomi6ZVkWndnQ6Z381SGMkoVOP2oKEmXX5PnVBtCMm+2UrIdSRl66Sk5Tr0lBDYMRGXNUlg9JlPA3R1JEOrrJCKMacrQYUQsz4FcSuYKKYFiaIKcSfxgYYeUxDLNblrSp5lpsnBwSEi/JIa21sm1r2PRA5sm+4k2HyiYxrvLO980ip5c/Xd2QJE2lHyepvh0ZjquEQDTIqw2iSwPbzIgMx28eIjCJDPBGvTI5pZI4owgiMm6V4iwqSZjHHIsZWKbYKWJdkvoT9X9m8hzZxDQee5l1OYArCalqke95GAP9kg3Nok7fWjPUa1alMolVs+eYhzv8W2f/+v8/Gs/B0Ddq/P9X/n9/PXGV+GuX2JYa7O7N9Hm32J0Pl+u80g6ILFStvoBSkEYJcRJhmfbbPUCRmGKaULVk9L0KEwYhSkb3QmmaTKJU2zL5NLOiHrJYX13zDhKcG2LnJzfO7fD+a0ha+0yjx2bY7VV5th8lcW6z++d3yGIM2ollzjLMScGYZKx0QtYapY4s9pgozthQZPimxHEGVXfxjnws/m6z3z91nCKJ463MYCnLuzQGYVk+t+IWkkU1CJlKUoy/IbJi+tdLmwNCOMMU0eKVnyHB1cbnFp647Gdbwcb3QmXtiXN6WB2ut8s0RtHvHq9z3KzTGVm3v6ewox4zjDDzQjGcOFlGcCpt4RQ+WVNxkpC+OotaM3L48sVTch06bBSld7PJBZVcTSEYCS9bIXyZ1pSTnzw8VtjMZdWZbr96gXoduQ5rvbxVGr6upYj+/VEDyZZphw3s8A2bzL+1iQj0srR/qah+y+D0ZSLGIYQUW2VQ55riyQTLP28woLH1K+Zq+nvVhDcD6pl5/3uVWoaU6P/YkgO9E3GATJh2fuCNqaJAoY4+KMBVhKS2ylKGaQGmLZLrnKi3h5BlGBEAU6WkrtlMsCLI/I0IXE9cB1Mz8MIxnLz45UAQ9a7YbDZD7j0ykXmLn0Ro1wlasyzgwdXrjI/3sXyPZwophN7qNCnfeFVfvq5f8I/vv5vSPIYA5OvO/In+CtPfDefPHYc97Xfoas8zl3rkaSi3GW54txGjxfTnFPGgBNHHuTIwhK5gp1BwOXdEUmesz0IsQwDzzYZRwlBnBLEGSXHwLYsolTsj6qey84wIExSbMtgoVEmzxSdYUBvLAOFO/0JO4OQY/M1Hj3aIk5zru+NSTPFzjCg6jm0Kx6GYTAIYs5tDqiXPaq+ze4gvMGzE6QEHcQpjxxtvSED85Jr8+TpeQxDzOZt02S+JtZB/gHSCZCkipd2ujQrHgu6j7VQQL94eQ/fsd8Vy6H1zgjbMm4gnQUaZZerHVGKT86I53sKM+I5www3Y29HSs5LR+TrYgDo6nmxgDEsIZ+teSFgcQRHTskmOugKSR10xXC+6GVrzsHJB6cDFEks5XmVwROfmHokFoM+88tSah8Phch4vky/9/aEHFy/ItPteS6KUakiJcsw0ITipvKrYdyogt7cW3lYilKW3vi1kYPS6qZl6Ul4pXs/73Oy9V7HQb/NtwvFNI3KNKc9uKq48zjQF6wMDDJyZZIZJpVggJslGOTYeY6VpaSGRYqJhUmYKNxgJL2BpomfRZh5iqEyVCprdZKXwHRxHRs7zbDyiVQMxgPi3W3y9U2OJTGeqUjNDBUPMZRL2O8xchxa1QZ+PGJejfmfgmf4qev/mr1MVP8nF7+cTz/5Q5yoP0R3HPHs+W2c7piNUYZyPdo1n3GYsDsMCZOULINrw4Bz57aoU+fDJ+bpjkNM06BRdgmTHKUUaZbvK462ZVDyHDAUvVFEpq+1RtmlO4qwLQsTuNwZcX1vgmnAMBQV1TIntKsez17e3b8Ed4chtmkyCBM6wwjLMqh4Nq5jsd4Z8SWnF8lVwNXOiGbZxbbEc3ISpxxfqHHkDgQwTjNRLE0D04DnruxxvTPGcy12eiGDIGYQxpxYrGFgMAwSjupJ74rv3FBWNwyDZsVjKwm4uD1gpV1+xweKxmF6qEl9cT6mAVF6X5cXUEoxiVKSLMd37dv+Ph8kzIjnDDPcjDjSJesD/6i25sV7sLsjZG88FDP20UB6O5/8Mvn/q+fFcqnfFfWzvSj9mlksAxRHTorCE4dC3l57QR47HsPuBmDA0ZNw9nEp59cO9C95E3nO3q4MZFTqQg5zHTlYrekUmaLH8wBJuV0PpKFjC1/XMolpf55pgq97QothpmxmjwS8Mwb5XgkaTfmM+t0DiuoBG6vDT+aQnxtTAqt0m4VC23AVA2L29MYiyzBUTo5B5tgYKIw8BQxMcpQBoFB5SpKlGFmGnUaEXpXU8TFVjpcNyQwTS+UYSmElMXkUECQ2Xhriug5WtwNJSLjXZWy6zBmBdIVUm+RxjL+xTlllbPkrBHHK89k6P7D18zybSmLXirnA9x35v/CRT/0NDN2+slAvsdnNODdSeKMh9dUqcZqx1QtIs5y672LlGSq0MEoluqOI331tiyjJOL5Q49XrPRzLpFFxyTJ5zxQwCmKWGjLhPY4SfNegXfVxLGvfmmd3GHJ9b0yQZHiO9IhGacbeOCJOcxYbJfJcCO3VzgjDMHBsSRPKlKI3jjCAVsVlEqV8/MwiV3ZGbPYmxGlKybV5aK3J0fnqoWpgnGZc2BpwdXfMJEoxDOiOQ7JMcXq5wXKzzFZ/wmZvwnY/pDeOeexYm8eOt6n7LuvdLVYOyZoHaJQduqOIUZhQL72zJvG+a7E3Sm/7c6W4oc3gfsPuIOTC1oCdQUCaiVfokbkKp5bq922y07uBD+5vPsMMt4Pt3ErUbEeIYLUusZhKT3ifeBDWdM/l/JI8b3dTej2rdRlOSmMhiZtXYeu6ELcokEGJbgee+W35+cKqkMAXvgAXX4Ev/Xp45CPTc2i0xVLmhaeF7DmuNgA3YdzXaTLONFXG4IBv6G1IimnJ8/fLrm8A6iB50VP2lnVrbvsHEe+UKb5fhqh707o87PM0dc+tPpdcaTKpph6cWaYHxmxpCxlPINZ9v4YxHSQzTCylyLIMmxQjUcSmTd8oSVVemThWipcnZMDYb2KFI5QBqe2S2S6DcoN6muJlOZFt4OSShqUcl/J4AFlMSgnz2kWMNMHOwK2vkvhVSv1tzDgkNBxiw6adjNlhjx8Y/gK/kD4DQNUs80crf5j/s/MVPFBusZdkdMNYbIqUDMq8Rp3Hs13MNGYUKqI0o+Y7MlM36bJbbdExqxzxHV5c75LkGacWGyzUS+yNeoyDWIaOlCJXSix4miUmkfSm2pbJTj+k5Fn6MTk7vWC/99MyxGDdsy3SPKM/ieiMApRSmIaQ0pJn4+c2fsWi7DikuSQKjYKUJMtoVTxaFY+H0xZZrvCcW7PEC8RpxlMXd7myM6JWkoGcvWHEpa0htbLLMEiYr/ustCos1OX3uN4dc3KxxsNrLa52RqRphrHfe3PzEjPI76IhxZ1wZK7KZndyg+JcYBgklDyLhUP6We8HbPcDvnB+h0mU0qy6OJZJGGe8uN6lO474klMLH1jy+cH8rWeY4U4o/DjHw6kZPMiG3F4QMvfQh4SIHsxtL8rnrQUprYM2TM9lKKmzJcf0PCGqUSBqaK0uJfw0gvaaqKs7G/A7vyyWMm3d02macPoReOlZ8Q1NE3nNcCRqq+NPS+q5JoaOK716tn3ARN6cKly5Do4+ZIPRD5bjFHZFhVdnpn0+UWC5t5blP4g4SPjupkF+HElrxe1sqQ4i14lCni92WK4t/x8GOv5SyUdqGmQKUqeEYQRYCj2ML+VzMv155zJUlqMwyLByqJCTKJMcC6XL8kaa4kUjSAKMXOGlESkQR2IZFNo+BmAZCSaiehoqI3d8YtvHrDZxRn2MJKTW2yBbXAPDwJkMoDJH1zL4F9bv8E+i54lIMTD4k82v4S+t/gX6eybVsM/YcHlxY8AwTDANU4wb0oxuXKZRXuLDox5mP6SCSykM8ZKAiV/nSv0Eg3HCMO6x1Zc+zTRTVD2bhbpPmipsW7LUS47Ndj9gdxDSHUcs1Eq0qj6ZUuz0Q4aTmO2+xTBIsUwDxzKp+g65gnGcYBoG4zAmTnPqZQdlKBzbouLZxGlOdxwxX5MM+qpvszcO2eoF/NLz11A5LDR81tpVyt7tydb1vQnrOyNWWuV9NTBVikrJwbFMruwO5fsGWKZ4Ys5nJS5uDYnSnKu7I67sjuhNYo60K/iOxSTOUIp9r9GKb1Ny3/mS8Wq7zGq7wrW9Ma2qpy2iYDCJGUfS31q/D6M5szznpfUuUZLd0Avr2hYV3+FaZ8zl2pCHj7Tu4VneO8yI5wwz3IxqTUjluRdls682hPQFY+ndXF6TkrnjSl/lzobYHG1egyuvQUtnr1dqQig3rggxNCy9kZtiXxOMp36d5YoQw8lI+kDnlyT16MJL0P6K6bnVmlPVtdcTY/vChzNPhdQWE+WpLovX9XkU6URKE0cMIRtFqfVQFNPrpo7zRJKJonBKXuPo/h+oeTew3x5590hnBvJ5adJ50Cn1judR0kEGrq+ThpA1iKjTmWWTZjnRJMQyLClP5wplGpCkoqapnNw0yRAD+Qib0HIx8xRP5eSmYmJ4RKZB1Ujx8pjQsMhsl5FbIS3XscMJTpYSWzax4eCoFFvl2GlMXvjU5jmpIZPZZrmMORqjJkNSrwxRwM+r/8KP8nl2XRmi+6R5gh9Y+DOsLH2MSZKzG+xhqoSLZoNRlNCu+vu9h71JRILJb7NAZX4JsnWM0YDM8thsrdKvLbDeSbDzlEbZoVFxcUKTIM7kPsuAkm9RcmwqvsPeKMQwhdyttUvM1z3iNKfkWNJ/aRpYpkGr6tIZKhzbJM1z+uN435IoTDLSTNGfJJJclMMoTKn6DuMoYW8YUS05lFyHje6Y3UFIs+JhGHBuY8CV3RGPH5vjxGLtlo8+V4qL2wOiLOPq7ogoyfbTh5QSdfbyjpBK37GwDJNa2SHRkZhJllMrObRrPpe3hlzZGeJpYmyYJkqrvl//xJFDS/x3G65t8ZFT85Q8m+t7Y2lBMAzqJZcPn5jjpE5Sut/QGUbsjSLma7feIFimQb3scHV3xOnl+rvyPt5vmBHPGWY4DCfPisJ57SJ0NoVLeCU4/oAMCbmekIGXn4XzL0F3V1SlnU1RPTcuwQOPyrFGg+kgh2GKmmrrAaWiJ7CwmBkPhXiauiy6tz09p70deO53ZOI+GktijG1PCW4YiNJZlEoVQkbTBCytqo4G08EjpYeF1AHF0zQP7yHMdV630lPQlj2dgs5z9jO9P8h4I60Kb6KlYfpuqhv+LwNuu1VV6qKQLx2R1o7WopiwRxOKCNTML5GkKbnKyapNMYUP+phZihnHGGkEKCzDIC9XiZIcS4VkWGBaJJaDUhLBaAKRMnAsG7dUY1Ceh8EeWabIclC2jWsAWUZDyYS4YVvkpomRZ5hJgmHaTMIAwhgzjvCSmGRvm99oZXyP85s8O7kCwJG8zneaX8M3VT/JNZa4ttnFCAO80ZCXKktsRSWOtjxMwyDNcrb7E7Z6Ab5rMQxzPr9psFg7jSpnLLerpAp2+gGZUixVPUZhwmZ3Qsm1xbg9V1imwWqrTMm12eiOxVSi4tMsK9I859XrAzIlGellz2Kx4bM3DBlFKYMgJstzLNMUMlp2SXNFnObaikh6PD3bYhKnJGmmfUQzSm6JvXFE2bVZaZb0tLmi7NuoPOf5qx0aZZfWTfGYUZLx2saAvWGgzeBNkjxnFCYMJzF9J2ESxrQrLu2KR5opOsOQy9tDTixVaVQ8UIoTC1W2ewFXdoe4lqh0lmEQ5zmuZdIZSfZ76V2Ixiy5Nh85Oc8Dyw3GkajGzYp7XxO2OBUrsiIS9Wb4jiUDZ2l+X/8e7xRmxHOGGQ6DaQnJXD0mnpwql8nxg6X3a5eEBI4G8vXckvRYdrZF0Xz1eemhK9TGYKyfmEOUHsgvV6IiapVpPyu93xVCu6cHml74Alx4RQaO/BLsbolCqoBGS4hhEkk7gFJyXkPt8VkorbYjQyr7QzDacN4ydcqSIdZKoHnnQc9HY0pKbUcebwCTiSa5B6x5ZjgchiE3La/TD1uQzts1QdyWfC6tiVq+uAL9DkwG8lqlqrbfUhBOsMIQ07JQ4y5YNsHcKrlbwoxDGOzh2ybVJCDHJMgSHCPFMhSxAcowiA0HP4uwswTLMDGUyUDZ9MsNsHwqow4qSWSITincPMOwLIwDA0qZ7ZFkiizLsXZ3SAyw0oh1c8zfLn2R/40rkEDZ8PnL/tfxlY0/wrp3hF/obFDf7eOZYJYrmA8/yWZU5togwvYnLNR8ru1N2BuKUnh8ocowiOlPYvphwjhMmaRD6mUP37VRQJylXN6RtJ9TizWiTNEZTNgeRFzcHvLkSY8nTy2wUPe5vDMiSTPOb8kxPNvCdyxsEy7tjuhNEhpVD8u06E0iwijDdg2yHPqTmCxXtKsOvmMTZ4qSa9J2LMI4x7ENfNui7NqMowTbhMu7I7lMMTAM8R/1bJON3uQW4nllZ8j1vRH5PsGFiufQKnusd0bk44h2VX5vGWgSkj6JE3b7IV+83MEAMqUIk4RTS3V2hyHjKGG1VeFko0675rLRDdjoTvaz298N1EoOtdJ7wzbJtkxMg0N7UwHiLMexzEN/9kHAjHjOMMOd4LhiGH8z0kT67uJISGZrTkhFtSFkMJjIphsGokyqTMiloSfmqzq7fXdTyt6GIYQzSURljWMpoycJfOHXhYgW5fnCzqhclRzryVhIZqUm0+2rx7XZ/WUZLBn0RLUtfh/blXMr+gEtbRifJLp8rgnwDdMDuainoAeatEqbK3lskS3/RvoQP8jICjP+Ozzkpq9zDi+v30JKDUtSp5rzos77ZRlSK5R27cuZKz38U66LglkqYccBZjCUTk7DJFEGSuWYwYhykhNYLoaRU8pTYhR2npEp6DpVItPG9zzs1RPMxyF9V9KF5pycLM9xdjawhl2iSpO0UsXIc7z+LkEOpjLxjAw7HrFXq/JTpZf5KfcFAiPDAP6c9WG+Z+GPYJ34BM+XjpL0YzaMKg0nx8wNlOtwbKHByUwR5l0GkxhDwThMODJXoVH29OVicWy+xkq7wktX93BtC9+1GEUJ1ztjxnFKybGZr/tYtknVNijP16iXPHaHAcvtCl/x8DKDScKFzQE7g5C5mkfFmxKh3UFAnGaUfZt22SUrSXyma5nkSlKOACq+DBq5jk3Fh0GQMF/1cawc2zQ4u9Ykz3Mu7Qyl/F+eqntpntOfRKjcYH1nSKPkstWX4ZuSZ/P753aIs5xBkdeuDEZhgGMZuJbFOEkIE/lcRlFClKR0hhGmaRImotxWPJuNXsDeMMY0LTzHIkoygjhjozsmyTJs0+D63vhdIZ5hnNLVbgElz6JZ8d5xG6e3i3bVo1H26I3jW8z8lVL0xzEPrjU/sNZKM+I5wwcPeSbT5N1dmTgvVWBuWXo73yjCEMYjIZa+P7Vecj2YX5Fj72wKwSvpkviJM0IUcyXf83xRR8dD8eQMAmESxcDS8lE485iQzad+U8rzYSBqJ7rE7ZTAz+V1Gy0hfoYxtWwa9KQPtVA3U22/5DjyeyeJnFOSgOuIMnaDOmtM/3I9eb7tyvDUoAdZJL+bac0GjN4BaJ35UOSAdbAdwrJkTV45B+EYtjenEZiuL5/RRG5cQr+G5Zfx+tsYeUJSbsgMmcrxJz2MPAPTEPXLtAktD0PF2IYhx1E5fbuMgcHYqWDUaliuR25Z1NOYTXeepp/TJkJFA9JoyMT16fttrDRiPtmgFAektguGxf/sXOB7/ZfYMAMAPsFRfnDhT/GNrVPElTq/1jiB4/hUQzi+aFHz5RpJspydfsh83WehUSJNc2q+Q5YrcgXXumNQiijJObvaoFl2eGCliWOJSftWPyTTljwlz2J3EKEUzNWlT9QwDeZqPld2h/zis+Kd+fL1HuPegCdbBg1XeloHfp1+kAAGNV+8NufKHp1hxDBI8FyLOMkpezaWaZIpqJdEdcyVKGDDMMHRAQ27wwjLNDh2k12SbZq0qj7nN/o8f3WPYShWSbZlstEd8+ylDot1n8V6iXGUUHIdPMOkOw6ZRAmuY3F8oUrFk6GvdtVnbxRRzRw8x8IyZYjKd0xs2+Ta7gjTMlhqlCi5FnGWc2l7iOuYVN/hiewsV5zf7HNha8g4TFDI57TU8Hn4aFuI9X0K17Y4s9rg6Qs77AwCmhVPT7Wn7I5CyZpfeBP7zfsMM+I5wwcLcQSvPAeb67pv0ZoasJ9+WIaG3ghMHU2ZJpoIHoBfkvQh0xDls9oQchqGQtoGXSEGcaQjA3OZbi80rCQW9bJUnpbZw4l8XalNiWWeyfcjQ0rsWSrlVNOU3tA0ERJp29ro3ZDHKD2lPhkJMSmm1nMl52fpaeYklaSiwmYH3Z+YJVOvU9uS848n90005kHF8B3VE4rhmHtKuAtVuggIUPI59PfEJcHRipztyOBZ4d9p2FqdFmprpxG545GUqqRRSDkLMVxXbkgsEyOHCJvYET/OxDCZmB6R7XOucYIn6gp7MiStNHDDMUbF4RWvRSsPcCopjt3ErVWZyyLcXoBRKhOZJs84O3yX9/v8niMtIcfzCt9X/W/52Kk/QYxBtNZgvLlJMJnQWqlxaUft55SDEBHTNEjSnHrJ5VpnjFKKvVGE71p4tkmY5ijEW/PSzohqyWajO6FR8fjqR1d4+uIur17v0TzQ8wiKJMnZHgYYGGRKMZwkmIZivrPOka1LeJsppapHo+TR8Cps5nMM7CYoxVY/RQHzNY84yXBtixFQciwWm2WiJCPJcqIkp1F28RwLBSzWSzx5ap4rOyMGkxjbOmQF54phmGKaBh9vlvbLtXvDEAWESc5yy9eZ5iFhnJLmOZMoZd6zefhIi3bVRynFdj/Ed8ZEiaydQkm0LZMgSknzDNe0mav6uLaFa1uUHIuLOyOOzb+zPd2vbvR44UqXqm+z0ipjmhInem1vwiTO+MSZxfs6KvPoXAUDOLfZZ1f3EjuWxZFWhQfX7s9p/HcL7yjx/LEf+zF+7ud+jpdffplSqcSXfumX8hM/8RM8+OCD7+TLzjDD7XH+JenNbC+KgldMqm+uyzDGl3w5nHpYl5PvgFJZSvCXX5OyuHcT+QxD6cWcWxLi1+sKGQgnQvZGA4gDUaKqNSF9cSSqlV3YH43lvCzdmwny+MlIE0RLlMc0kTJ9Z1tK/pOxqKhxKER1blH6RZUShXcymfZxon0bjVRIaq+DDA8dyKFXHPCHVEKM97anJXmYluXfCQP1N4jDtsHie3efgBroZjj95YH34p5AE06VT29cVk9InGqWyhpNUzAszGYTpzcgiyJSr4yyHTBMzCggzw1UuYbh1MFQWMEEL0nJwpiJ5ZGlKakBO3aToVWi21jGWVzBbDnku1dwRl2II8b9AeN+SK1qMT72CHmaYm9fwy83OEHOhfkq3731s/x89hwAVWXzrcbH+SvOJ4iWH2Po2KhYwglSBWBgm6LEjcOUg77lrm2SZDknFmts9QK2+xFhklJyLcIkx3UslholPNtiszfBG1ug4IG6kLYTCzXWOyO6oxDXttgZhlzaGeLooaDCc98yDD7qjTjBFpdKLteyChuxxbxrMz8ccjLsMW6cZlhqUis5LDVL5JkijDOGUcpczafmOxyZr5BlQvpGZsx8zWexWSJMMj7+wCIPH2mR50qSkMbRfloRiAq41RdVeK4m+e25UuS5IkhSGiWXKMnYG0XkufzuJc/CNEw2uyPGYcruIJRUpjjTxubSVpMVlq8gA1p5TpYLua8cUDeTTFFyLbJMEafZDYpsroS498YxSme7L9T9Nz1AMwoTLm4OqJedG0zqfcdipV1mvTNmvTPiwbX7147IMAyOzldZaZXpjiMybSDfrLjvSs79/Yx3lHj+6q/+Kn/tr/01Pvaxj5GmKd/7vd/LN3zDN/Diiy9SqbzzOa8zzHADRgPYWhcjdteF7etS4o5jIVqDHvzGfxISd/bxGz06b4ZhwNpJGfbZvCoqp+PKDhWFQiordVFQg4nEZ1YbUxWzVJZzqNT1AEYqBLNSk968yVirVolYLVXrMihUOSLnOuzL36b21VxaFZLreno6vi/H9jwpnyeJkMU4EmKSZgcm6jNw7GmvJwhJsexpI2ERDXqQaN4yxW7Ke5Bn00Sjdwmvp73ccRL8rcA0bvz97inpPAClI1STEOx5UfKHPfl8JyMwTSzDpERCnKWMbR87lelyM4mwS+A1mnieLWvgwQ9heiWCC5fIu12MNMTIcmy/ScdfwmjOsdquoiouY+ckbncHY+MK4ySidGSB9IGzJO0V7GBENZswXH+V7w3+M//39LcIVIyBwTerh/mu8jfRnDuNGYxwghFhaZ6ya+MEQ1StSeRWMAyD+VqJzrCLGgvhNwyDJBPVMM0Ux+er1EsOu6MAlRss1DyqvoOniU+SRgRRxtpcGU/3183Xfc6sNriwOaQ7Fi9Ow4B2zWcYxLpkbeMbGda1i0x8G+o1amFKlucYpo0/v4xxfZ3l0RZxrc1c1ccyTCwbTi01eOFqhyTLcWyTq7sjyp5Ds+LyxIk2zYrLdj+g7XmstmVfbFY8VltlwiSjN5H+RsOQ39e1hUw2yx7X98RuKc0VW71AjAuUYrM7Zq7m067I8FGS55Q8h5rv8Or1HntDGW7bHYVs9iZUPYdm2WUUJYzChEmc4pgmhl0Qe0Wap4RxhkJxbL6KYxs3TGUHccqzlzts7E1I9bVhIAT5ieNzzB1iLXQ7dIYh4yjlSPVWnmAaBlXfYX1vzAMrzTeUU38vYVvmft79DIJ3lHj+x//4H2/4+l/+y3/J4uIiX/jCF/jKr/zKWx4fRRFRNJ32HAwG7+TpzfBBw6gvpLA5D71d2LgsCmJLN8h7JTF1v/gKOB6cfezOx1tYho99JfzGL8LGVa1UuvK3XxYyuLQGl16Fxz8qr71xVTb0xVUhBN2OlMmbc6JKBhM5j8KPMwrlX+/mvBDUKIR6S4juoKsN6cvw+Mcl331nQ8hjocRNJqK+TibSH5rE0+GWg2TJ0HZPRQQnHCghvxGrJK0AGoaQzyR+14jnO27iZDvSTnDwPciVVoHVfTLIrwfOFNP0qsmQuNIgtULMcR87zzHyDKuziRUnuKaFRUyeJhhZipWllDILq5+QlqtEzUUG7aPYjkP1E0fY7Y2Ir15mlJukSYZNiVLZpVkWNT43LexgxEbmEHgeRhCzu76HSsvUmlX+g3uZfzT+LFtZD4BP2if4dv+/4aP1M/iTPlkUiF1UKtZCS6UcSykqp8/gd0xGYSJ2upF4VNqmlNnjNOPIXIWFhs+JpTrl/oSTS3Uubg/J85w8V4RJRhCnZLmiXrZvUPAMw2CtVeH8pvQSurZJxXexTIM8V/iOLfZQvS75cMBF2th2pj0tRYWMs5yhVWIuGrFHTKXUkPdESVLScquC71qcXWlwfW9ClGbUyy4be2OevrBDrmCpUeYL57d55GibpUaJ+YakCq22K0wiKd2XXJu9YURvFNEbR+wMApmot0xs02A3SMjznCDJSPOccZSQ5TlgMFf1eeJ4my9e2ePizpC1VplWxUUpUVdNA3zHZrlVJohT3X+a0674YlqhFM2qy0K9hKOTnGxN+rJc8ezlDld3Riw2SvukXmytAp6+uMunzi694dJ4mikMw7itMuhYJkkqnqLWbbugZ7hf8a72ePb7fQDa7fahP/+xH/sxPvOZz7ybpzTDBwkFQVBKVEe0p2YBwxCVr9oQFfP/z96fx9qapWl94G+t9U173mc+d4y4N6bMiMi5KrMoCgPVQEO7rZZFNxYgbFoeui0o2V0IW7TVspAa/4FpeZDaNC0jWrKFwEJCYJvBxriqqKyCqpwqIyMyY7rzvWfe8/7mtVb/8X77nDtmRmZGZlVEnle695w9feM+ez/f8z7P8165JozR45WnAqzCSILm/5U/AW+/0UyXacZjXn5O3OXTkTCF69vQbsLmN3eFyZzL3wNVLczlip1atdxP45aQaJzuQJjEo32IIwGjO1fOmMmDexIwH0biaL93Q+6PImF1T2e4PwYIVWM6esin8uhx+x7IatWC966JCfK/be3271Y/OOupmpnm+sy1r9VTnP8fQpkQoxX2dNTp91HOgxaZhA1jysmEkY2wJCSmJKEgqnO8rQiSGGMtpkgBjwVcq03e24D5lGq64HbrMndvjjBVTrfK6IWgljO+vfMputTszh6Qnyy5v5ixE8Pw5A5pXvLA9VEowjJla+87/Prhr/Ff5X+HW+mbAFxgjf9w90/yJ6/8AQ5rzdvjnHjh6R4f088mpL01LnTHrHd34dor9K5c43ow5ivvHXIwzem2QjqtgPGiYJaWRKFBq5UBJuTb98Zs9RM2+zFFackqi63daRD6xbU2DlgWFXFouH+y5P7JgmVWAqIjDAMZUznoRCzymkVVUVcVgfYYE9AKA5yvBPgo0UEn7RZbHU221maSVTgv75VWFPDKxSGVtXz++ha///WIGwcz/pc37nPrcE5eCcibZxU3Dmd8/eYxv+cTF/jkpTW+dWfEIq/oJiFaKRZ5hVKSD5mVNTvD9qkuc3etTVFb7p4s6cSGnUGbyrrTXNPdtTadJKIdBax1Yl67sk4YaE7mGXdPlgRakxYVRim2egm3DxcMWjGfeX6TZhdPgea90ZIXdwckTY7nyTxn72TJzrD1qBnKaHbX2nKMR0tevjj8QG/lldvbNlmqj1dW1qx149PtOa+PVv3YgKf3nl/8xV/k537u53j99aczSX/hL/wFfvEXf/H09mw248qVKz+uTfzJrsVcon3mEwE961tNLuXHSADd7sr+zKfSdnwYdIIwgr2+BLgf7cnzHgae86mAuaP9ZtZ1KKzn5evw+Z+Fz35JgJc20vIGcbevrtpXUTomEDZxxUC6ZnZ2nEAey32Fk+0tVwxlEww/WJeWPEoeTxKREMzGsHVBlmECCRE3gehJl/Oz3MgnJgytANR3Yye/B7jyvwNbzh9aKbmYaPfOxoTq5vh/6Pu6EtgZnn0VcFanX+/aSIargtWI1hxF4RStcglRgg4NqtWGWcYy6dLSEC3m4Cw2iKgBn+UUdoqrJJ+zs3eTq/MptfPURYGvS7Kkw4a5xXxwgWV/g85iTLGYUyxLrA5YJG120wWdOmc/TfnL7p/yD6uvARCQ8Hr4r/Gn8te5eKj4VbUgMAHjZUFWt1nTa2x3YmYXXqS3e4nwhZe4clmizD5xaci7e1PunaQEsQxH2OwnXNvuc3mjIyMK709IAsPeeMl4WRBqTRxpQq3x2pOWFfOsot+K6LdDjqYZeWU5nuUyoSgOhMUzmn4rIokMUag5nhcSV2tCFlZTLZcsfBvvpQ3dbQV86rkNju7toYM+r1zbYVqK495oRa8V4pxnlgnQTaKAeydLDqYpNCxjKzLUzQD041nOr3x7nz/0mUt86aVt7o+X7I0lK/fqVpd+K2K0KJhnoqNcfb5EgWHQiTmeFVS1jLiMQoMGtgYtrm33TtvyHaOZ5+XpNm4PEuZZzXRpeW9/yicvr/GFFzaZpjL3ftiJCLSmrOV49ZLoEVf2eFlQN3PsHy+tFK1YDF0fFHhuDRKGnYjRIn+iTV3WlrK2XNno/sRrJT+q9WMDnn/2z/5ZvvnNb/Krv/qrz3xOHMfEcfzMx8/rR1R7d+HdbwkYCyNhxe7ekIihT37m0dD0j3L1hwLObr3TTNt56LEily/tta3GKMKj3/tHe/C1X4XZVJ4zWBOAePs9MeS8/lPCNj4MZvNUwOp0JO3zTk/WsX+3AaGNO9xbabO3O8JORnHjuFfynJUWNF2IG747lPN05135vcwgalrvrY7sI4guND9odJvPYiF/HMzkdwFRajU56XceQ/rIdtvqTP/qPM1szB+4nlyCavSXcsuYAGufnYl6an1bDScIAvk9y7BZinWGariNTlrE8zE2CNC2wrXbWGWonCVstcWYUpbougatMFXOUoXkQcIwG7G1PKYKQqZxn7vhgHutXV7PTohPbnBf95m2eyTURItjXBLQMzWTTsh/XvwK/23xK+TIPvyc/Tzb7V+g373KUXfB5uIu9t5dUh/SbUe82DXU7TY3+y8z37zKRjsmO8yJuilZaZlnJeNFwYu7PTqtEI0ijs5a5vdHC24dzHn18pDnt3rsTVLiUHE0zRgvS3YGbcJAsbsm2s5ZKlNj7h4tCEODa1zfUWgIjGG9F7PMK1qxMI3L2rFvQw6CHtfqGft5iFKKJAqwztMLFE5XfLu1SzuMWIvOPly89zyYplxabzNoRxxMUr5x6xitxDDVS8LTSUZ5ZSlrR15JbNPVrR6furrBq5fXAY/RmoNJymY/IQkNB9MMhTCEtfMkoeGLL23x3v6MXjtgvZvQTSIG7RCjNZW1jBYZeE9lLUatWuaazX7MsB3RSUJ+72sX6cQBt48WvLs3ZX+SicFKK7YGLT55aY21bkxlHVXtKCuL/i4tb60U1n33v3HnfaPWER3rq5fX+PrNY+6fLBl2RPqwLGrSoub57d4jM9DP66NVPxbg+Qu/8Av8/b//9/mVX/kVLl++/ONY5Xl90JqcSLwQyJi9h9m54z14W8Fnf6ZhYT7ipRS8+KqAzP37wgT2hgIotIHdyzBcF8CYNECxruH2O/AbvyzgszsQJ/x8AheuyDE7vC8A9PWfkvU4J7fv3ZDnTU6EJd3YFgPTfCaMctQYcYpctmE6EtDZ6og+NM8FmF64KgxmkcPoWJbZG4CJGk1oItNqnJNtu/u+mJOc5ZFpQytdog6Exfux1Xf5wlkZl34M9f2/gx/arqp66OYPt71nU4kUXmmcMmhvcTrEtttEVQHOnW7vGUd9BoQVCKNtAghi0XU2bKyvLWE6w7c7VEaTmwDnNKgQ29+UEZmjfZwGa0Jyq4iB0mkOTYfElsTKYXXAGEXX13TLOdfrnMv5CS6MWUQdbKS4rXvsmJLnl9/Gp5q/OZzyV+t/wr6bAPC6f45/L/05rvqL/P3ekKkDt7bF+50O9f4DdqoJgQ7YH1yg3riAbw+pFgWLXELDD6cZWiuOZhnv7c2IAs32oMXLFwf0GrdzbR2Hk5zKOvanKaAoasvxYc4iqwgCzbKoeHljwHNbPZz3pOOKW0dzsrKmp0VL2GtHdOOAonJkhcUoRV1ZklCzyBwOxbvJLoOiZic7Zmla1JUhIKU+9Ky9+CJBeOkUKMWhoaodo2XBoBXz8qUhSinuHou7nCY/tLKOtKwpSjnTpbU475inFSfzgmEnbtrNZ3rKybKkrl3jZpdopt1hm2vbPYzWlLWjE4esdxOZs65EC/tglJJXjn47Ytg5I3mKyrI/yWjFhlevrNFttJjPb/e4uN5mNC+onSMJA9a6MXlV8+17Y+6eLKhqxyytGC0y1rsxrafke2ZFzaX19hP3W+fZH6fcPVkwy0oCrbm80eHSeoeL6x3CQHP7aM7hNMc62adPXBpyZbNL+BM69efjUD9S4Om95xd+4Rf4u3/37/JLv/RLXLv2ATMSz+vHVwcPxFCz89gFgTGiSzw5EAPM06b3fBSr1YHPfEna1t/49SaS6CIM14RVtLUAwOdelJijd96A73xT2MbtSwLyqlJa6FUJz78M/XWRKYyOxCn/tS/Dg9vCsF59EV7+tIDQezcFNMYteX6rJa73opD57mUhIfPXXhGAOn0f1jblH5yxssbI88NQGM9VPqdqDCbpTKYfLeeAk2xPWyOsZ3McTHDWwl/VwwajD6U035MZ/BAwp+HHYDBaZb5+KBhZNaCzMU8EBuc1DoUtSkxdYRojk1Uap+QLVjl7yinJAFQvQe942T4rOl3XalPXHl9bsqxgHA/ITcSV2Rg3m0GcoFo9IlUxLsEZg7UWh8c7j3Y1Xhm094Teo/F4a0m8Z2AXLOuY2jtaBPiiwJuKr6oj/lLnX/ANfwQeLul1/q/mD/Pp5UuELqNtc0JX0YkNnTjkqIiZ9C7yfn2BtW7I870ePR1BXpFEhoNJRl7VDNsR7VjMPf12SFU5jmYZWVFxbbfPi7tD0qLm/mjBIq8ZlJ61bkg7CrhZz1nkFcNOzKATcmWjw2hR8GC0ZJqW3DyYUTvHZq9FrxWhgeNZwXpP8k5nWU1tHYuiblzoMc53eCOLuVSOuVyPCeqa/ULxL8Ir/NSLn+YLrRY3D2bcHy9JFyWhUVzf6fPCTv8U6KVlTaAV42XJsqibOezSKrfeschqxosSrRQvXBhwZbNzNrnIOm4fzRkvCowRBtd7SIuaeV4zzSqMVrx6ZZ1BJ+TescgONPI2SULDzrBFYR3Txr3figLiUKY4TZcl691H3edRYNhdOwONi7ziq+8fcTDN6LdC2nGA83DjcMpXbhzyhetbtB+a6CR5pPrUsb8q6zxv3hnx3v70tB2fVzXfuHXC3eMlX3hhk61+i61+i6yscU7iiH5Sx0x+nOpHCjz/zJ/5M/zNv/k3+Xt/7+/R6/XY35exfYPBgFbrPF7gt728l1GKre7THw8jcfMuph8f4AmyX5/+aWlt33m/CUuvBAw6KxODrn9S2uQPbsvzTCAM5er1w3UB5JMRbG7DaB/+578rbfTJSWMIGgvzuXkBrl4XULdcCDO5yv20Vlzq/TUBt+3eWQD4aozm5ERA7mImgLnVkfu0lpzGMJQLCG8FxE5H8s893F5v2tmrLE8TSvh7bc9Yx1V2qTYCQr9Lq/eD1QdAaT8mTeiHwtc/oY/9/ssqI1BcKVRzTkxVNEGRIdo37nltsFpT6UDc4t5LspUtUbUFhO0yZdUMBGhWEET4nassJwsyNCfJOsvNy8TOUqUnBEUKixlVnLAMY7AppnlfeBSBE1e0Vh7tKwIMDkWtDaUKCamwKNbzGd5ELPSEv+3+Hr88+E0AWj7kTwW/nz+//vP4ZcmBX6J9jg0CTBKz1klwgHOOAEWJI81r9kYZ46gUH5dWjBcF3VZIXjmUtmwNEoxR3B8tcbWEwc/yivGiYK0TczjNuNaBV/wYPfdUQcxhEGI7EZV1WOs5WRTcb0w0lXXEYUCiYNCKyCrLVj8mDCzTZtxkaCxhoOlVlmE3ZmfQ5mCSEnbXOSn77OcXyIoSTMC9RcLRG/v8H3/XNT79/AYvXRxQVPL61VhN65w0HfBMs5KjZsRmaAwoRbosmj9BmaE+XZZ87f0jauv4/PVN1rsJe+OU+6OUly8OuHu8oCgt7Thg0I5Y5BXvPphwfXfASxcGXFhrc317wHhZ4JyM7yzePSArrRxH5wmMIgwMSaCJQ4NSiv3JsokASp4K8t7dm3Iwzbi83kE35p5WFPC5a1t87cYR37x1wsuX1tCKZt684dUrQzYfi1O6P1ry7t6U9V5MKzqDIsOOZ2+85I07I372lV2MVo88fl4f/fqRns2/+lf/KgC/7/f9vkfu/xt/42/wp//0n/5Rrvq8Pkh9kBbnx1W7rQ28+JoYqI72hB2MYtFHbu4IwDt8IAagwbo8P8/OWMEokt9vvQ2He3DzLcFZWxcliqlojENlCTe+cxbd1F+TNvnuFQlxtw62LwjjPD6W7TABoKDTFebzwW1hQ9c2zzR9WosGtDcUacByIRFMcVu2EwWuasZjxuLIdv4MZPqGCY1DAaLOy/Yh5hSStoDePP0hDvKPT7f5ZFv6yce+/4UGT08B+GFKgXIO5eHx4xPYkipIqFUASlq72tYEzuKVwgURymq88mjvcF6YTgPy/gwjaHeJfI1SnmPV5kJ6QHmYUZuQ0BbN+i2mWDKPN2mHJWY5QzlLriJCV2O8Z6ZiElfitadGUaNPt7bWAc6n/HXzZf6r+i1KRLbxx+qX+YXlF4nCbTrVAWWRs53mYGsOwgFhXRIYhQZUE8xua0sBBIFkMzrnmCwLRotCTDBJSL/VQqGIA0NVCVMnANVw+2jOvYMJ16e3+GJd0JtLPq1HYVzCW8kFjkyXsrJMliVGy9z0vKzpJoEYp5yYYmZZzdXNDkdNwPr2oMXLFwbcOlowSwtuHsyxzrPIK/KqRmtDq9OhFWn67Yh39qb86ncO+PlPXaIVBadgaZqW3DtZcH+0ZLos+a3bJxxOU6rakZcOFYNRBofH1p7AGLpJhHWO8aLgn721x52jOZ+9tslkKcdweyBu9r1JysmiOBVhWOe5tN7hQsNQ9lohvZYA37snC+4eL1EKXtjusywqloVkcx4sc7qxzI9/4/aYu8dL1nsxr1/ZeGTW+DKv2BstWe/Gp6BzVXGoubze5WiWMZrnrPdiru8MuLTeYaufPGIEct5z53hOGOgnQKVWiq1+i+Npxsk8Z3twTlJ93OpH3mo/r9/BpbW002+/K23hx6uu5Aut2/+xb9qPpbQWJvdZbK5tQtZRAsBODgWcrqb4pEvpJi8XorVsd2F8IDrM1UzrOJbjmC2aEPZcAM3xAxldWJdwX8l5mJ4I87q2Ifmfo0MBE/duN8tYCiBcxSI5mkD6wybz08Pxocxe9/7MHe2bMPeVTkw1+x4Eovdc7ev6pjCm83Hz/EYP6j46M9g/NCXyyvT0I2FkH/5cFJCkGklCWOc4ZZrzp9BKo2yNU/o0vke4UmnBa4WMNQ0i2VYFfjYhrDXbag51RR5r0rAHekk/H6PjBF9kJPkSWh1Oak2nHpNjMArmJmaiE9brJdo7rDfk2mBQODz/fXyTv9z9Og+MXJS8ZF7iP9J/iD9QKKwucPmIrI6olSaLOpS1owgSnl884MZsDbM2IA4MY1vggLiZjLPIBQjNspLSOpZ5xagBHlpJZE8rDmjHAaNlQRRqtFF8JjugUx4yTdZxgw3Jf3SW9dkJL4xuMOu9QNBLyEpLJwo4nmd4Jy3k7U7EZFninKWqPYusFnZ0nnNxvcM7exPevj8lryzLvKK2jtI62lFAvx0QB+JS3+gmWOe5fTTnZH7mxL55MOPX3t5nmpUYpTiYpOyPlvJRUFuscyxyD1iiQKYQBUrY0cBolFFsdmNmWcXb9ycczTOubHTRSnFxvcNGL2G0yFnmNcYo6tqx3n26QXc0L7DO0WtFjbM/Iqtqbh3MycuarKxZ78r3dhIaRvOCr9045mde2T6dHpRXlqKyDDpnaSfWOe4eL09TAhbNcQq06HGfBhyr2jHPKtrPmPcusgOREJzXx6/O+euf9Nq9LO3h6UiYvVVZK/rOrV3Ji/y4l/cC7lQDyED0nEUhwNzWTau9iS85ORAQOdySVncUC3t6cF/C2jvdxp3euOdrL6Aya4Lc1RV5jleSKuCdtNm7/Sav04kMwjQThZwXQLkyea1MSCuWtDNs5qZbWaYxsvyqkn1QK+bOy+NayzKSjoDfPJPlqGZ2fTPl5iw0/XvH+3ysyrvve3cfZ1ufCoIfadcrnAnBO9RDYfta7MNgHYoaj0d7j0VRBzGRz7HKkJmYjq+AxohUW5jP8GFEpyyJwzY2CMh9TaoVxdo2LjZ00jEHrSGuv866rshSxzgYEvtaMinxDOqMhBrvoVIe4x3fikb8peFv8JvRCIALrssf7/xxfv/6z7NVTimzd6iUY9Lqo6IYvKeuKuYm5L14i0G5IB7dZ9+HeKT12440O8M2J4uCRVbJdFYFa51YzDDjlGVRM2hHVNaz3o1wjianM6FbZryUz7jTHVIHCT4rCQODUYoqHtCb77OTneCibbzzODx5bclry+VBwtagRScJmSwKjuc5RWVJy4q8stTWYZ1n1kQKAYSBoRuHhIEmLy1GK9Y6EUrTBM7D0SxnvRvz5t0R/+Sb95guK7pJwOE0Z5oVlM4ThwF5ZYmVakLmJRO2l4RorWnFIe3IkASGdhyyKGq2Bi3uj5Y8GKVcWOvgvGe0yDmc5qSFHLtlXrE1bHFtp3+ahSlvDcfBNOXSeofjeUFVy+fSg1HK4Swjjgx5WdOKAqZpSVZZru/0mKYiT+hfFqBptEJrTW09qy78/ZOU+6Ml7cgQOskMHS1y0dOOU/7Apy9xeeNROZdSyOXWM5zuvkm6OI/p/HjWOfD8Sa/hhoyHfO8tAaArsFTXol18+TNnc7s/juWctNT37oqGUivRZO5eFud5WQjIvHBFwNlkJPrKsjibErN1USYhNa1PmeFdgY8F+JXlGXO2+iCdT+S5nZ78nE0g7sj5oAHBeSYs68pUZJUsa30TLn0a9u/IdmstoLMszqKY6kb712qJbCDPZN1lIZ/6cSIgWyHrdF4Y18UK3GoBpI9oRJsKAgE53y8y+22c4/5hl+Ms0uhZys8n5sRrjVIPm7c82j4tXcBBM4/FKS0u9Ga4gQtCnK2w2hAo8M7JxYZrBgR4i64riaWxFYnN2Q1Der0O1WAT30uw9zOcixkNLqBDy8l8j6qVoL1jo5iyW03QzuHQ5Drkns75K4Mv89+1bgPQ8gF/NnudP25+jln7dcJiTFF73u1fYVDdp1SGnvLkDmZRn4N4SK0S0swxXBzzpt5me9jipd0BUWiIA83tI2G/OnFIvx1yMEmZLAqsd4yXBctcgJX3njgwbPQSnPfsBgWDwKFaXRINO8M286zCOk87iVi7sEWQ5Rz1Eu6MMxZFRTsMcB3PejfBWk8rNOhmtOZmP2b/vZRWEnBxvcPeJGNz0KLXjrh/smCaFnSigL6JyGsr+ZvWsT9JCbSmkxjK2vL+/oyvvHdEUXme2+qRVTVqllNWjqK09Achioi0tLRCLaYgpegmEbOspKhq0rwiCgxpWaGVwmjFlY0u7+xNWDT61jvHc8nvbEcClp3ncJLxjRtHfP6FrVNTkvMe6zy7a+IUP5hkTJYlh5MU5z0aRSsK2ezFbPQSJksBnBfWJfz9lUtDtFL02xEbvZjjec7uUEZ6Hs0yWqFmnlXcH6ckoSEKDd7BjYMZ//M3HH/0Z194ZOZ6FBh2hy3e25/Rbz+ZFb0sBAQPn8HentdHu86B53nJhJ3+mphrpmMBKutbonX8OAXIP17OCeC+9Y6At1ZH7rv1jkwBeuFV0VTGLTkurQ5sbEnbvWxLe7zbh7V1ydHMlo2mMhJWMVtKJFJdCSgocwFt/aHkgC7mAhqGm2I+mk5kfObRAdz4tgDDzV1hH4/2RDfq28JCd7qi51zfhv17zfz1SgLwg0DYyxXYjMSli7UiB+j2z8xLSUtAbbcLg6G06seHAo7sU+gGrZtRmD8AgPyIg87HAeYHtRqdTkzSGl3XH+h1Bo/VCtskA3it8R7iYgkonFeS+alDahNIBidAXaGUQ0UJWEsVtgFPMjvGByEozbSzSbp2kcOXvkR+cp/xQcYoiWlph55qjoM223VK20746+23+C+6b5Np2eo/GnyWf7/+WS7GLaaDHSoTMol6zAfbLE5O2M0qyqTLgfJ4bfBJh8BDuMyJk5jIOXaHMT/7yV3Gi5JZVrHeE5f1ZrdFHGne35uxLGqiQGO9onaesrJ4FPuTlMvrHYxWJGHARhASTwO6rYBZWhKHRsCKh6q2ZNOSF7ZiftdPXeHb+wveujdmo5fw9v0Jb9+fEIe6OZ6eF3Z63D+Rv5n1TsR4UXI8k8zL2vlT13VWWuLQYoxhllX40ZKqdmz0Ew4nOS/u1Dw4WRIGmijQwoRaT1HJrPayFkNVOw6orEdpRSsMWBQiLTBGmMAo0ExSAYc7wzaH04xOEtBLIm7sz5hmJd04IAkDiWOqLNe2euyutbk3WnJxo8vVTWEaAyMmp2la8PxWn3474qvvn5DEAVorhp0I6zxRKJCg2wqZphVrpSUy5jSoXivFC7sDxgsZ17kaR6qAB+OUJNRc2ezQSxqG1Cjuj5d848YxP/fqhdMpSyBh+A/GKYfTjI1ecjqhKC1qxouCVy4OHwGr5/XxqXPgeV5S3f7HV8v5rDo5kBD23lC0kqvqDYRpfPebotG8/glhKFcjLjs9AXMXrkpoe9yC3UvSkl+xekZDlQvjqZSAea2a8HFknaaJHNm5BJeuQf5tuHNTNJtFLutGNfPPY2Erq0pGc54cSnxTHMv2KCDqilzC+wYcF5Blwk6uAuvxcJwKcxrHki+qvABnEzTTkDoSVM9T2Lgfewbo74z6UOKaamE6v1f8kwG5GAhkmIOqXSOPgEqFBK4i8hUKQ520cEoT1PnZOE/n0YHBRy1KrwjKEu0c0ck+x2sXccNtrrx0jfbldUbvfZVF2GFuDevpPtbDKBrwjzsP+G+D/4l9PQfgp+st/krxRV7tvMysu0lx/VXubbzInJCyhhuHE2zq2VGK/RIqZ4hDTeTkvVJUjk1fkPU3iaOIOAx4+WKbf/7OAfuTlFYo2s1FUTWThBTaaEKtyMqasnZ477EODmcZnVhzUXmifEK4nLAWKda3BgCMFzKlKwo0l1qenecvEHXbfP56C6UUv/b2PifzgspalmUlh9pobh8t0ErMLuNlxbJhFVdjG9txwLAdMy8q5nlFYCyt0BAFMTuDFkXleP9gRmEtde0ZdiKKSs651grr3alDOy2FzezEAVGgWeYZZe0gUESRIQkDtIJFVlFWlmlacOd4gffQb4dsDRIOpilGKbLK0o5Drq232Rm00VoRGsO9k8Up8NRKcXWzy1feT6mdo5dErHcjeknAwTSjso5WFNCOhCENtDDt87Ti8kYXs0q8AC6stfn89S3efjDh5uGM6bIkr+VC4fJ69xR0rpbTjiMOpxnjRcHGQ8729W7C569t8q27I/bGqwsqYaBfvjjgk1fWfpC/svP6CNQ58Dyvn9zavyfE3cOgc1VrGwLw8LDWg/WXzuaQL+bw7htiIipSiTR66XV5/M77MkmoyBqDERC1BYjmhfz0CBNalcIgbl9sVuqlZT+fCNMZhMKSHj6AspJJUlEky04X8tz1LZmkdHhfwGa6PHOuO3cWIh8E4Ixs+0pnWNfSom93zqKZpidnUounsZo/YaDzh59R9FgFMdTF9zZBefEMea0pgoQ87mG1RuEZZONGJqFQ1qIC3WSMVsK2t9qYpEWyvoUtPdV0Qm1C6laP8PI1tiJP98UXWKuWHPY076Ud6tGSuMr4VnDE/yf6p7xt7gKwYzv8ueVP8X+2l2nbikLP0L1NOhcvkiQD9o/mvLc3Y5oW6HjIIm/Tmk+Zmz6uYQpr6zFVTuYr3qw6zPOKb94+4aXdAduDFu/tTwkDTb8TMVnkzAsB0JHRDNpRE0fkWGQV06xCFxmfmR+yfjAhdSXLxQFXgwOG7RdQF58nJcR7T8vXtLMarjwPShEYxXo3oZeE9C9Ka7qqHUGg6cSGvJQ557OsoBOFdOKAIyT7UmtN3uRttqNASH88UZOLeTIrmOcVw05IWVuc80zTgvGypBUVDNohUaBJi5pOHFJbS1bWdFsBYSAzfzpRwFovJg4Mi6LGOUc7DtkeJPIxFRnmaUVRWoadmBd3B6x1Y7QSUPxw9FEUyiz3h+vSRofjeY9bB3OCQFNbxzQrOZnnWCuM7f4kY9CJaEWB6EA1XHlMn7la1vawxYVhG+v2OJ5mrHWTJ8xCeWVlZCjSPt94bAje7lqb9Z7EYWWlRSvFRi9m0I7Ox2F+jOsceJ7XR7OcFRMPXpzewffxVl7OhTF851sCDlsdaV2rhzLrtBH9ZtwSprPdEZazKkXjuZjD9FhC5/fuye2XXhV2cTYV8BmEgIY4akCmkmVYKyHvra4A3OFGY1YqRN6QZ02bPBeA6ZxoNdfWJVJp746YgAIxpjBck8ffeUNA64qRDUPoDJrZ9FOJblrpdVesrPfNcVxCVQOuaYk3YFU3utKPQml9Foz/w2Rurr7wvP/QQKcFjDbyXnD2uycFaC0Md6eHKgtM7Ugo8UGCC2N8LTrsOulCmWFqcWW7MIbeED1co8oLsllK4TXaBNh2j26nxQW1QIVdZm9+k/2bd6kOHxCqTZYq5z+L/wH/JHwDgNiH/Kn0M/y52XPo1hqzOCKrclLdI1rMSH/ln3Bw7XfxTppwMsvptyNqo3m3d5lL6btcrMZktPFO06kytLW8FW9zV/VQec3eaAlAvxUSh5pQG05mOVkpM8aTUDNoRYDCOXtquDHO8onxXfq+YNnfIMcwi7p8yUxoHd6GOiN57iUx1DkLV184vbBz3nPvZMGgI1N7QqNPNZBpUfNgtOBgvGRRWKrEk0QrfSSECqomhqkdh2wOYmZZSWg0y8JSO8f1nT6DdijjJRVs9GLS0nJ/tCCO+mz3W0yWJVlREQaG9W5MJwnJipq1XsJ6O+b159dZZBVfu3GEUob1bkJoNNO0YDQv2Oy3WO/GnMxzjNbPBGhFZVnrPKqPDI3mM89LHujNgxlpUbM/Tlnvxnjvcd5zPBNmMgo13STis89tPBIe//jyXrk85GCWcTjNaDLCTquqHbV1bPUTavtso1AUmCfMR+f18a5z4HleH63yXvSX924JoPJO2sOXnpfW9/cCoPduSq5mupCW9nIuIyaDSEw7a5sCBFcz13ebfM3DByJFuH9HNJDdvoDTlUZy/66Ax7gl8+0XU1guYdZoKds9cYhHrWbi0Bp0OrB7VUDw7ffEYNTuyD6uZm9XZaMzTQSY5pkAxHYigHR8LF+wg3VZhzGyPXGjTW11hDXNjCxTKQh843Q3j4Ig/xhY8/5MGvBRKE9jl21io35QF74OwDvs48fju6yWh9b48M/TRa4kE6tzWzZMNO7RbV0NKlAaqhJT5HilqIOQWmmCQsxhVodkDgKv0E3MEc5TFhXldEkRdbCtHt18SlDW2DxjhKacLDDLnG+OIUsLNtI5vxz8M/5G+BvkoTCNv7d8lT9V/F7+N4sJWsGBSggsBD7ige8SWsOl0SFd+wYn3ddBicM7LUuWuku+80k6o322qgnUNUeqw/3uOnvhGoM4JAkD+u1I2EZj0Erz3HaXVhRwMi+4e7xAK0Va1OS1sGDeWzpxwI6b8xwz1NbzbHZbBEZR1h3G0QabYY66f1PkLxefE0Pg9sXTJIijaca3741Ji4p7Jn2IAQ24d7JknpUYo2nHUNSWvK6b9r5jtKywVtr9WitmqWLQjrgwbNGKQ/qtkGFbgF4UGKJAs8hrLq+1uXm84HiaE2hFJw44nhf02yGB0VS1pZ0EWO/otUN2hm26ccVOM5EoLy15VVNaz7AT89KFPoHRHM8yAiOGnsfNORLTJHmej1doNNd3+oRNGH83CUXbGWiyyjJLS6ZpifWOP/zZq3z6+c1T7eVT/1SU4nPXNnl/b8KtoyU7A5knXzSs786wRRIGOOOeAMLn9ZNb58DzvD5adfs9ePdbZ/miSgmIfPNr4sh+5VPPnit/tCesYBBKYPt0JIAyjJrZ5k7ijsZHsHVJ7r9wRTSY3/h1+OZvSns+aQlIfeXTsg3ZUsDeaozl2lajAU1knfNp085XAnSXM/nZH56CHGFuWwJ881Tmua8ij1Z5m2Uu27wyDbW7Akadk9nzZSnA1dYCpE0zsjIIGo1oLvtuV632klPA4x7n9rws5yFt14dWWgwdH2pOpm4kDFX1lGV+nyDU1fIe+oAZpo9+LWucAodGe3mtUgYVmibmqgH/dbOdYdxEedVy0aA1tqqwQYSztQDQdhfd6qI8VGVJEQyJsxnG1oTKQxjhgwRdlcRFSl0U5Jtduq0YZ/pk69s4Y9BpSr6/z4yQpLT8RusW/3ny3/Og0XG+Xm/zf5//FJ+32/igpqtqHgQDvHPEtqLoDChUQO1g5jQXxnfZ6L/MIpCLtLJyoBzLbo/DtYS30gxvPaHxrJdzXqlPYBnCcJN23CEtaybLgmFH2umfem6Dg0nKN28dc7IoiAJDEmq0Vizyiso6LqZT2klEt9tirXE852XNxDoOuzuoDUfV3qX94ucYds9Cy0eLnK/dPOZkntOOQ7pxQFk77h0vSIuaJBIGshUGbPVDFnnF0Sxjnkl2KkqC70OjiUL5VzsnWl0lGQTjZUHWmHxeuTjgeJ5z62jOLK3AeYxRrHUSLg7bZLUlLy2h0TKBSgtQXWSSSNCKAja6MUXlWOY1SsHLFwdopSgqSxIFXN3s8v7+jKK2DNoRWslxmmUVzzcmo2fVg3FGrxVxab3D3ZMF01Rc9cNOxIW1NkYprmx2vivoXNWgHfEHPn2Ff/LNu0yyipZWDNsRm/0WSWgYLws+eXlIJwm/57LO6yejzoHneX10ajETx3mrLVmXq4oaUHXvhrSqty48+VrvRbNprTjBlzMJfm81DGOcCNDq9KRdPXsTfubnBdx957fE7DNYF4NOb01A2+hIXOQ7l2Qd6VJA66Vror8MY2FeDu6LK346EgYzjGGniWyaTQQ0vfiabL9Ssv2e5rGm5b8CK90+4IXdVEpub2xJq/9wT7ZnuCHMapHJsVk2uk9noWqW80FD4d1jjNwPXY3Ryhg5pqoJuTeqafX/IOtRZ9FQ1j56/2pU6AdeVAO0lQKtBEA+AcqfLAfUqhl52QT8C59pUJ1uo7et5aLCNhcaaiUNqOXiIEqonMW5mspBaCtcEEC6ROUZ7STBDzZwg3X8zQXhcobr9Cj6G7gwIpqP0dWE2Fn60yNcEmG7A4r+OkE6p5MvuKta/Er2gP86+Ee8Ud4BDRdcm/8g/Wl+X/0JRrqNscdsZ1O0q2mZNpEJWEZ95smA1mLOliro1RmqzPnpk7d4t3uZcX+XWQOiSivgK3OKi8WI1+pDOnUuxH9kaJsRx/oi77a2maY1L10YoBvTzb/06gW+fvOYr984JgwUphlv6ZtJT+3Ao43oIle1LGqOZimjeYGZTDk5ggfzt3n1yjq/+xO7dJKQt+9PSPOa67t97o+WGKNomwCP5+7Jkt1hQmUdnUTGT+6utcFDVtbUteSHRkFAUVtaUUAYKDm/jtOcT+/F4R0HAW/dGzNNq6aF7ei0QglSV5AVlo0oYaMnwDiJAgINX795wm/dOuH1q+skgRFNqVeUVmKb3tufYq0nLWsubXT42Vd2GXZibh3K7HbnoR0HfOrqOi/s9gmfMdPce88sLWhFhk4S8srFIctCDFxaQTcJ2Z+kki36+PvcewmHN/oRh/pz2z3+t5+7yrfujJilJVor0rLCOsdLFwa8cuncKHReZ3UOPM/ro1OjQ2EkL1x58rEoAZQwmE8DnquZ5yvn/qRpgV98DkYHonPMUohC6A4Fs6xtC2h8cFvC4T3Sxitzee7JobTUX/28sJdhJMCn0xPwt3e3ARr2jOUEYTbDxjhkjHx7LRcCSO/eFCaslPGGFLmwYQp4/iVZVpFL7JJzsqz+mrw2W8rrwgguXhF22FkBoNmycT3XP0Cs0YfYblfIhUPUgupQWEClIEnALn8wbaaiGW9pH8PIP8B2tzpycVHXgHok2H21RPW035XBGwO1Q7kajwY0JgwwRS5PCkNhpVf7qM2ZHrXVpe6vky4zIjeXL3ZboRr21tkam2UE8YKg3Sa3FqU1ddzBG42ylrK/xizqUztHriOyC6+QXH2eIE/p33qT93XJf5T9Y/6X4Bt4BbEP+LfT1/mTxecIgzZdlxEwpyBgGvfoZ1MCX+ONIQtbJMWCtWJCEgVoPEudoJzjE9Nb7PmCSXSBWS5HpR2HbJdjPlM/oN1OuFevUznPIAnxrmL94D2G3Qo2r7DZbzFvAtrnec1mv8W1nQHWWdJCWs3WyfjHSvcI8xlJKCA3K2vuHi+orcM52HQ1QX8N5+FXv73PyTzn9712icNpzkZfpgtNFiWjRcGgLWH0gYHJskQrxfPbfWZZKRmiztGJAhZeWt0OSzcJCI0hK2paccD98YKqFmA8aIcM2jEK2J9kLIuKfiuiFYV0k5ALwzZKwVfeP2J9d8Clx3SNn7u+ydduHLM3TvHe8+Ako9cOcU7AXisM0MpBCUVp+cbNE37qxS1+7pOdU2a2E4fE4TM6Pk0ppYgCwzyrTm93H2MjvYfgIbYzryz3TxbcOV5QVI441Fzd7HFpo3MaVH95o8tmL+HdvSl3jheMlgWh0dTWnk6gOjcMnRecA8/z+ihVnj0lzP4hhV0UC4B7WvnGNLP64FvOBaDFSTM3PRNge+G5MyaySGE8ElAbRgLeRgfN7VjWd7wPb/+WMJbGiMt8MRPm9f5t2eYyF0ZSa1mf9wJax00Q/ZXrsH9bWvJH+wJGjJF9qyphWgfrgIZ8LtrNcWNs2thutKZt2ab5VKKa2h0BOnfel/sUEt/02+1KV02bvSrkd+dEEpC0Bcz/IJ13jyxPVsAPDJRNKIy0eYxlbpbnm0xNeHINQRShB+vYLEXZGhUnBM7Je8j5xnXum6SCxiuvVLPvXWh1KJTBlBkqMDgTYsoChccpjfEOZysYHeFnU4KqoooSFhev44NI2DcTMs9r/PiEVIfsDa4wXLvM9ru/xv9r+b/y1/J/RKrl/P+8+xR/If0s63UP40rGLiDCMDUJ+0Gfbqx4rXz/9BytLU7AO3IMVgcEtmTU2eQkGdLWnq3ZPr1WzFj1KUtLYBQv+SmDVkjeX6edluRVjTGakYuIq5zB5AEnvS3euHNCKwxJIs0ir4hDwysXBrx/OGOR15SVpaprjqY13nR4zgXYG/cZmxazpYStr3ViNikIOh3s+jZbSYt2HPD+wYxeO6J29hQgvbDb586xtJfny4LpssR5TzsOUMrjnOc798fCdloPSib/SAi7od82DRA0zNISrzzKK5Z5TWDELa4Vzfz3koutNrNlwddvHhEYQ1bW3Dyc029FbA+S06iiODBc3+4Th5pXL6/xzoMpb90bUdaWThIyy0qsg+1Bi6ubXcbLnPf2p3zh+hbD71M/eXmjy1dvHJ1GRT1cy6IiCc1p9FFa1Hzt5hEPRmkT/2RIi5qv3jhib7LkC9e3TuetnyxEo5uXNVsNo3vnZMn9UcqrV9Z4cXdwDj7P6xx4ntdHqMLoTL+XZxL9MzmRL/R2r3F4bzz9tXFL2M7jA9AT0WoWmbCFnZ4AjcG6tM1bHWE2nZM8y6QlOtL55GxWetzk0dlaGKubb8PFq/DaF+D+LQF82UKYuPlUAF8QSEZmkjSmoUQY0wd3pQ0bRrL+qhJXfJpClcq6L10VcDU6lqD3516W26u8TmvFmV+Xwvoe7gmQHo/ENKRjmW7z213ONuM4zdl0pdpLeH79gzrR/XdhOb8PIGorRKBpIGphwgBblHhX45VEFmknONKhCJo0ToMAVD05JohiOa9ay/tRZgOeDRBYmYeck+doI/fVNXp5jPcOF7XAWbxSKOskk1MHWC0RSrG1OG+xOsDFLXwg5hJfV+hsSZ5lQM7dcc4/mPwt/se7f4U9ewwKPuku8W+6P8wn6ots1sdUiHaxVy3IvOZeIBKOWa04Crp0XEmd53RcIThctfBpybjV5qC3SysKmOcVtrT06xPKVoeZ92wGlkumoIj7zPNSImyd53Cei8rAB1yo52QnJ7xXwtWtHnePF7TDgINxyjwvuXc8Z5aVzUSgkNo6jsuQL1frfPZ4j56ZYnxE6CxROSF1HcrnXyVPJLOnHQcES8WD0ZJBS8xMYaDptyNevTzkwTjl3bImNKIjXetE3Dla8mCyJG90lGkhEf79VsR6L8Y6yArpQKz3YrK6ZrffotuOeH9/xv4koxUaRgs5Xs7LCM1968mqmkApkihkkdV8J9BM0jabvYTpsmSSlszSkkE75JVLQz53fZNxWlA0888r61BKMVmWpPmEJDIoNef6dp+0qDlZ5DjvGbZjtgetZ85BB7i03ubeSYu98ZLNXkISBTjvJbIqLXnl0pBBY1p6d2/C3ijl0nr7oTzPkEHb8WCU0m9N+fRzG6RFzbfujLDeP8LmDtoRs7TkO/cmrHeTR7I8z+sns86B53l9dGp9S8DZyUGTW5kJy6c1HO+JxvLSc48ym6vSWkDm174sOCQIpf29mAqgNCFce1lA5ypfc21TGM26Eoa0rmXK0OEDYTBX0UhRKcvZ2BYwmKYyeWg2EWBaVaLrUxbmY8iatlbZjDkcHcj6r1yT9beQ56SpxC2FkTz+qZ8WzenhHmztyO/ZUpYfhgJw86xhDpsW7u4l2T/rJcJp6Zog+afVs0CabsLvf8gY9ZWre3V8Vy1/ZyWr5kcyC/4DLlMHCAupG/1pBi7AJAk2z2RJXlzNSimC5gLIgLxmxWjW1dlggLIU5NHuQF1ha4nAKltddJEJo1nXaBPiygJfwzJMiK1FG42NW0TLGc5pvDZo60R36i3ae4KqIH5wCzvcAOeoZjPaecYgnfMvkpz/7/6/z5vFtwFYY8Cf8n+Ef90/z8wHjC3kGFq2IHEVC0IWOgalacWGBMeJ7fO+D9m2CzouJ8FBGLJPi5tmi6WNSWrLoqxRyjCkIIkCWpGhqyEpFcP1NuW05niWkxY1tewCoTGERlHXNdO8pqhqfvnNPYxS3D5eMM8r8rLGo3AIe7jeiXn/YMb9ZANj2rykFwzyGWUNe+GQ3wo2uZhsMUCc3UVtsQ6qyhH2NO/vz2gnAVlRU9WW/UlG7ZwASq/IS8nWXL0vjZZMSY8EoaeFaC2nWcmgFTNelizzmpEpySpHvxUyXRbM85LSyjSf2okrXiuFUkreIramdooo0Nw7XnDjYMagHdOLJTS+k4R88/aIXhIQGk0rEma11xITltFiMJosZXpQoNUpKNVKUdspg07Ep5/bYHf4dINREgV8/voWb94bcTDOOJ6LHKSThLx8cchaJ+LdvSl5ZXn7/oROEjLPKryXYP5VbuhaJ+L+yZIXdwccTFJmacmljSfd9P1m5Oj90QLrPHvjJZO0JDKGC2ttLqy1v6dE4Lw+PnUOPM/ro1P9NXGjf/kfy+2NHfnSL3NAye3RsZh+NrblOc6dOb8nJ9DtCSCoG8d43ugsaSKP6kqA7e4VaZfPxjJWczoWILnSEYI8BsKmooVNPbh/pgNtd8Qw4xdA026tKtmeuCXMF5HkftY1p0F3tpZlaCVgu8gbUJmLlvT2e/DVLwtQXdsUpnYygjvvCWt44bLsY7o4i3LCC4uqFfhmf7+XwWhltOn0ZBt+WOC5ApqN+ea3v5rjvWIlfQOMV3PotYHNHczJIT5dirsZD96fBcArLfmFqwsd27y2LBs9awt6A+xihi1KrHVkFlTYJrIW46xcI3iDw+KtxdsSqwza1fjGFKZtdWr0qoMQkg4qaRGkM3Q6AxRT3WFEyn/Z/xf8rehdfAExIX8o/pf5V5efxfUuUiYF0dEB22QYBf16yVS3uBVu0KOkHQe0Qs2gzLgfdnjHbHKfCleE7PiC99dfZM9GzGpFYC11BkZpYu9YRDFaKxyKBSGHpeLibIH3sYQYINcbgVLErqRQIUm/T4zm5tEcWLLZi4S9m2folfbQyzSik3lOZR1xaBjFA74RrKPimjSv6XbbFGWNGi2YLENhYZ2jqhyTtGC8KFiWFVlZYz1Y68nLWkhnpVjrJrx/MGOWVljvsdazyGoub8an0U5pKfFKeWnBiwa0mwR4wDrPeJEzWpRY78Xn5hzOQ90Y3oxWBLoZd6r16Uz5WVZxYdgmrx29dszVrR6R0dw4mLHMK0or8+k7SYjHU1kHClpxyN37Y9pxwE+9sH0aIC95nDnfuHnCz74SPHUWOohm9ksvbjNZliyLqgHGnvf2p7y3P8F5mZz01r2xXEwkEUYrQqMZdmIub3RoxwEHk4ysrJlnFUarR0xHD1cUGt64M+bGwZzaiWbVupJ7Jwt219p87trmE1rT8/p41jnwPK+PTikFw3VxtDsnQBAvrOfWRWH3JseS87m2IRFDD24LO5nOhb28/IK0vKcnMut8enLmhr5/Q9Zz4epZLNPuVWnLv/lVYVTXt0E3rGgUiTbUVsKErnSBnb7EKOWFhLvbSpa/0jWexuk0+xUncns+afq4TT93bUsAalnI7Vtvn424rEsB2bMJ4ISxi1qwuyGvqScCqPMc6qYVny6aXM5GW+geZzgf+n3lEvdeWNQP6oL/IPWIuUmd6XbtDwtGv199pz/bHtu0xbV5CBQrkSp0+yjvMelT9MPeNRrTRsawOre6Afce/OiYuhZJhjaKVp2jvRMQQYAtC1re4sKIIoyo8bSqnMBVWDSlidFVSYjDBSFl3MaaCKUCCAJUlpJWOX+98w3+361vslRyrv6Ie5U/n3+R2l9n34eEs2MO4k3SwRXWbEqZz0l1xMy0UA6GPsPrAlM5plGHB2oN4wyVDjksu0xUi/3aYMOITgCLvML5msRA18CD9R06WgLRF9bzlu3SHe1RxkPKZupPZDSxUWwXGTeDdR6UAVVdUjtPaDTxept5LvPBs0rATCsyOO8lXB7RQsbGEAeaOEyYZEuOZzI+8v2DmlakCQJDXTsqaykrj8eilSYMDP12DHiWeUUSiZYxzWvyqkZpReChFUVY55gsS/rtiH4rYLSomC6l9d2JQ65tS6bmg/GSwChqJyyrAuLQnCpHvG8+YpxH4WlFEUZr7p4sSIIApeFgkrMzbHFtu0e70Uuu9xL2JynzrOaFnR6LomKyKJllBVXtWRYl3sk4zofBnlaK7UGLu8cL7o+XzwSe8nZVrHVj1roxy6Lin799yCQt2Bm0CYzm3b0JeVlTNNFPlza61LXjaJZRVJbnt7unYNOYJk/2GTVe5BzPCz7z3MYj0UrWOR6MU751+4QvvrzzTOB6Xh+fOgee5/XRqrIQNnN9W9rMIMAtbjW/t8W0886bMjs9DGVC0GIqrCU34PI1uPICXEHYxflUoo68h89+SZjOVRZotyfP/8Y/l1iirGERw0iYRG0EzOWpAKhWWwBe3IJifMaA2VrAjW70iNqK8SSIhLVMFwIcty8IK7rSPy4XZ872m+Mm1zMCk4sDf+eyAOLpCPoDabPv35OfaSMPqBqDjHcQ6GZ2+1OApGra31qd7ZdyP1pDklIP2cPPzDs/0HJMcDav/Knr+R76T+8fimNS0m4vMtFshqH8ezzyaZXDqtSZgS1Nz3SdDbnrTYTxHm8d2mUYW+GVJk36lC4krpegFVEYkisNVYr1sk1hJVFEyoQQd4h9RWoSRjYk8PBP4wf8x73f4I4RYPyKu8C/af93vKquEpqM2OaEJuKebTM8njEMPaqTcLJ+hbfWXmdZw+7ygK3iHm1veS/eYhF3KSvwzrJezxmFPZZJj+fclCAOyaI2aV4S1jlXVcVssMO8vUkXAdxZUfEdhrTtkuemxwy8IlMhHe/p1jUPTI83gx3maXl6eqzz3D2ZU9UelD+dF15Z34AbOS8OeWtWtUQVhUHAJC1wzhNohdEBy7wirxyVe/hMWzSWtKxpR4HMTY9D2nHIQZ6hlWbQFrf3Mi8IA0OoNNNlQdBLRCIQGALraEWGSVrSjgyB0exNUg4m2em8hRVIPn1rNf9ZB3Gg2ezHTJYlSaSJgoArm21e3B2QRGdfye0ooJuELIuKeyMJuF9kovUsa3ca0v7ugykv7Q5Pc01PXx+LXvaTz4gyyivL/jhlf5JSW0da1OyNU156KC90uizptyKc96RFLWM+45Aw0JzMc24del6+OKTfjihqAfcrLe3DZa3jYJqfTmt6uIzWbPVbHEzzJ+a5A8yykqyo0VqdTpw6r492nQPP8/po1SooPIzk3+O1ig9KFzBYO5tA1OoIiNRapgx1e+JON4EYklZTfda3nwyg9x6ee0mWN5uKSanTFa2nNlBljU6xFDA8HUurdaUjtY2RxFrJrVS+ue3gUhNUPxvLNheZgM100QDHJtonaUF/XVrtVSlZov01cdCvGILRMRw9aIBtE1iepbKMKJZ9NQaqBZJ9yRnYXDGPunFEqIZ5/XAnlT9ZK8D2w7TelRZwCAKonxYX9fh9K5PEE5OZHpYDWEA3ek8rgN/5R0G7qx+SDqyAbPM639ynFNqWeOdRVCgUVhs8iqAqUSZg0tkkHAwJq4KwG1P5iiidY+oCvMaHEXUYg1ZYH6CKgt/ql/yl6Nf4qr8FwLZt8yftH+Bn6s8QKEXmakI8cRQSGYNNuvyvbp3YV6yHLVxnwGhZoSPQW7v8cnGdF0Y3CJYTutUSn1uGZU4aJnwzucS4tca4OOLFbMJ6fszFumDqNLeSXU4Gz1HrgADJ6izKitIbvhpf4igasJsf06oLRj7izWSXvWBIRiCyBX12wbHIa5RXpyya9b75UxFtrQBOS6i1fAwEIcNOSFHXZEV92rr2Dh4WhviHfhalo6pLktCQ5hWLwAio1Zp5WrHIS/LaowvHXEt4e15W9NsxG72IONQkkSErKh6MlgSBIi9qito/sb6nVWEdeWUxWtFOZOLR5Y3eI6Czto60FLe+0Yo7R3NG84LKOeLAMOxKbNN4UTDLSt66N+KnX9wmCgxlbckrS1bUz9RNztKSr9885miaEQYGYxTfvjuisp5eK+TCWptZVlJUju1Bi/2mnZ4WAjxRYL1ntCh4fquH0YqtfsLFYYs7J0t2Bq3TdVfW8eBkSag1F58Rap+EhmMrJqoV8FzkFW/fH7M3ScmbOe7DTsz1nT7PbXXP3fEf4ToHnuf10ar+WjNysBAw9XD5hnkMG9dw8tCHXLsjQLAJ5GYxg/WHrqyXc3j+laeP3HRO1vXi6/DgljCks4ksw1oBsNaesaZGy/ZVpWxLpyv3zWeCTYJItiVqpgtdvCp5om98Bd5/+yzHs8zl9VEiLOUKoBWN1rM7kG2ZT6SNv39fgG/cBl8IsG1avGLECgVYB1GTL1o3RqugiSNyoCKIjby2Wn7IJ++x0k2c0g9rKgrDh9jOD9BuX0U6KcVTgbUJmtz5Bngv5iLneJbG1T8Ma5rSSthQa3EmoK4sRoHyCq8UedimRlOiqIgovWGZbDIMlsQKBlWJcTUeMDh8XYFS2FaPe6rgPzH/gv8muCmzD3zAv159jn8n/RR3kytUzlLTHIqyZExAGtVcV1PubF5jf1awrDRrpeO5rS7GKAbtmIOJ5tfb1xjqCdv1nCKqeBBssRcMWJqYwGu+He1wT2+yqQpyVXJcB6ikz9BqYi3MZNGMbARQxrDo7vCtaos8y6m8aEA1EmTuPdTOIWfEU1h5ndZyHj1gc5n6o5tzW1mPUp7ABGijWWQVzkEYaDRAw9Y97dR6hFe3TrSQeWWZ5SWR0ZS1ZZaVlHZ18UEzMhOmmcVT8rnnN1kUNaNFwfE8xzrHshCQpx569z3O3a8eU0p0nvOsopeEOOsJjKLfEhZwlpUcTTMmy5LRIuf5rZ4YrDz02jJuNDSaMNCkRcXIiyHo/smS57cyrPcczQrKqmaWVrxwoc+dozmXNzqoxuBkneeNOyOOZjkX1s+mE611E0aLnLvHS9px0IB9GHTkAv/28YJpWjStcE9gDDv9hN016TYZrfnMtU2U1uyPl5S1a1Q9mq1BizDQBE/E4T1aKyiZFjVfff+Iw2nGei9mo9tksKYlX7t5jHWOF3YH33VZ5/U7t86B53l9tGoVeXTvlkzsiVZMl5WpQf2htJYfvxpO2sJsHu01IexN7qOz0ppvdUQj+rRqdzmdbnTtFdGKjo8h7wsoyVIxkWztwsmxsJO9TNallNwOIsQDbUE3oDNOwEQCitOFONVd1QBUJY8717TxQzFNrTSkq9iopCXA8+CBANJOTwDvyjGvkNfqxq1tAnjxk3L8RkfC2JlAAG63D72BsKXvvSXLVxpWU3Z00xZfyQceqe9XX8kPznJq3TCV/oxtzNIz9vSRzTprsdvVdhoNWmM8j9JiDy//4QlIzkHVGNiMEW3swwyqNo+B0gZ0ao3FU5mICk+tNdpbAlfjdUAWtBg7w1S3uOoWzKuKYrEkrBfUzlHpiKWJ6FEQWEtZF/wX5gZ/ufUWCyWSgi/yef697Iv8lFMsg7DJmwStPX1XsF4vCHzNtl3QIqYsbvNOf5dZ1KGTBGwP2/TikLsjCWGvwoR3inXudLYI+5rRIietLLFWWO+orMcZhekOmdQFubOYvMI6SxIExJFhWQgzJsYdTdawVSoI8ZUVGfNjfegV0b7ijfGeMNSyPu/xFsDRTUL6rYhpVrIsLFBgrcN6mTeulcIjre5n1eoRax3tKKSqHVkhGs/a+lOVxOrtrpptdd5TO8fOUALv41CTV1DVjds71JSVw/onMW/zbiXQkFeOtlbUDq7v9mlFIhWwznHrcEFW1JRNYLxSinlaMl6WhIFi0DKoxuw0XpR4PIu8Ii1qfvXb+2z0Yta6SRMmb6id43/82h0GrYitgUQZJVHAwXjJ9qD1SIZntxUySwucdxzP8tPWvffiSt8dtNgethm0I9G0Wpm/HgZnYLIVBfz0i1uM5n2mqUxz6rZCtvoJX795zO2jBb3WkwaiZSH5rYMmj/TeyYLDacbFh4BxYBSbvYTxsuDdvRkX1zun+aHn9dGq87N2Xh+t0hpe/pT8fnD/0bbnYENMQTe+0+g5HyqlxDQE4gqfHJ99swyGwmYO1p++zo1tabMf7wugGx2KPnOxECNTWYj7HOT3dC7LTlrCWo6OJL9zMDwLJI9aAmgO78H4UIBdUQjI7fRFK1rXAiqPD+TbL08FJK5yRbURIFSWzaQdzljfVU6kswKCOs2Izdmo0cZ6uS9bNhKDLZl2VDsxMZ0CKXXWdvbPaG2ZQLb/xxVO7xHgrgy0W2LwytOnPFGBEvCHd3iUBLLXDhcGuDDEALqZHuSVPvNbBQHUYJw907wqw1NpNGcfkiw0/3RjzjIRuq5JXNV04EUqEtQFoYc82SI1bYJ6SceVrJUTispyEvRYd1PCMKDynr/TP+Ivxr/BLSMs9Kt2mz/r/wi9+LMM/SEjVRDWJYPIsnDQK1Iu1BNSFTLRbQa+ZEKL3uKEL7iCu/1X0OsyT7yXRLywM8Boxb3jBW/cHbHRjUmiAOs95SyXcYrNxUVtYTTP5bA0h7mqPWVd4VMBQ3hoRYaNbsI0q04vSax/8vCtlgFNQEBzFMvaEWhFYAxhIPLaThQyaAeMlwXee6LQEDejLI2WKTk0sUXfq6yHQTdCeRinBX7l/UOYybABPCVO/HzW8f7BnD/4mQFv3RtTW0cY0IS7F4TGUNdgH7/4eWg/jYJOHNBrhVze7PLHfvcLHE9z3ro35lu3x5S1PZUYEBomyyYP1HmMEla2dp55VmI0XBi2maQl87zicJqS15bDaUYUGrpxyKyZ5d6OQowRpnW8KChrx4X1R2OP1rsxh5OMyjrmWcWVzS7tOJAYJaDXjri+0yMKDJV17E9Srm71njADaaXY7Cds9h/Val7d7LE3ShktCtY60WmrvKgsJ/OCly4MGLQjrPPcOV7QScKnzooftCMejJYcz3KubHafePy8fufXOfA8r49exYkEtV++JtpI74WxXOV87lwSttFZAWDzqQBApQUAPv+SMJftrjChG9sCNE4OG0CnZfpPbyCgK4oF7P7KP4A7N0RPOB03TGdHGNbJSFrvK2e7NgJk06Xct7kjy0NJXFO6EBNKnAjTOB0LizqPhbUdH59pMANp2WIt3LsJJ0eyDVEsgLPIhPktUpgV4Bsg5Cyn7pblQpYXJ/J8rRvWdQPCQFr/D+7D5Eja8itA7+1DArlnfJtbC3EATv/gLOb3U94J2N7ahZ0rAtxHB4JMVvpc76ASJs4rg1MGjQcvJpVaByySAV21IC5TLOC0waGojAwqiJHjaFYa2CiAouQUGml9agDyWqMa8GloQH9V4oMQ5Wpp7yotg5pwOOcJKelSMw9Dch+RzA5RRcHUdKm1oRekvMs+/0H/DX41OgRgxyb8ufJL/MH6dfKkz14r5uvBJ8hUxE+P3uSqneFdSOJL5ibhdrBG4msqr3i37lDZLp8sM14oDulcfZk7xws+9dwGL+z0WeQV37k/YZqVdGKJ7smKmiTQ1E7JHHbnwXrJM0VgeOA9SRwSBZqsrFnmNZFRbHQTWnEgwCirngo6AyW5kJVzrEaD64aodw6UUQRGU9aOuraMlzlZJWyvMRqFlhGQxhNHAYtMjDcfpFbrCLSiHQWM5yWuWb9RAj5r1+ynh7L2HE4zRvOcfhJyPCsIlaJsRmYmocE5T5U/uX6FON0Drei1InaHLT53bZNeEtFLxLyzN15SNPFPgyQ+dfOnjXa1qhxXL3cbR3lNL4nQRtHz4JwwrUVVY+KQi+tt7p8sGS8LNIqJkSD+q1tdQHEwzZhl1WlIPEhI/pXNDm8/mDJa5iyLil4r4r39KaHRXL08BGCyLJhlFVc3Olx+Smbns2p70OLTz2/w1r0x906WGC0SAqPh+k6PVy+LCco6R20d0WMGpVWtgG71Q6dgnNdvV50Dz/P68ZSzZ+AML6ze2saTRp4PWquA97XNJx/buiCZnrffFcBVFQ2FUsjv1z8B1z4hLW4QYPrGG8JMVuXZTPWNbQG4WxcEHLa7Ykp6cEee0+kJ+Ivipo1tBPj2hvKaxUTA6foWvPwZ+YQ9ORJm0zkBlNuXBDwe7su2Zc2kolbnbLJNWZ655kHa48u53BdEAhKNPtOaOiuvXek7rYW8FMautg0wVaIFXVsHFQgTulw2rKVuGLzHP9jVY+3sBrxWjZ71x5rN2TjQs7kA/7VtYZqDSAR8ZSbMl61xKFABTitcIFE62jtiW1J5yZV0HnFAayVB8UqTqZDIlYDDuBrKFfMr0gPrHE6ZBuRLZA9a4cJEQK5SeBWglDjhjVIorVHWYVxFGg9pG89FlRMM11B5is8WhL7mxKb8p92v8jfj9/AKIm/4t/LX+DPL17g/eJn9TosHOy9R7F7h/l7GsqzZ9zG/f/kOVxZ7rNsFOSGX/ISZTrgdbzDRLYLKcpOAz2UTonxBHMoIx3/49TvcPV4yy0qOZznzoGKWFeS1pR0F+MpKSLk/I3cdAtDCwJyCr0ApAqMIQoNDZpZb55/0cDVVe/C1e0QfuQKommZUpXPUK+JZCQMaGDEi1aqiG4c4BXlpiY2hrP33FH4oYGvQZq0juaHOe0kYayTH1nmssxijiANDUduG0PbsT1K00rQjTa8lrFyoFUlkQHE6Wx7kz9J7RRgo2qEhry2hUVzZ7PLalbMOS93EnBWVZWfQfsS5nQwDjuc5e+Mlt45mzNOKovZkZUZlPe1IzEEtE7DejSlqy2xZMlmWRIFBAVUtO3Y4TTFaWvAHk/QR4AlwYa3DLC3pJmJI211r8dxWl6J2pEXFeFHSigI+9dw617f7RMH39/n93FaPjV7CwSQjLSsCrdnoiQTgrKWuiUORbDwt13OlH46/z3Wf1++cOgee5/Wjr3QBb78hLeNVHqQ2Auxe/rSAuQ+z4gSeexHee1NMQEksoKvbFzYRJY+9/lPChL71dWm9x4m00dNmGtCD2zL+8tNflJzO+7ekFd1qy3JMINFFtm4MRIGwnLYWMLq2Bdkd+aY+fCBA895NMSHVtez/dNw42udN7o5rNKqZbE9ZyO3VJKIVk7liQtc2BcguZ9K+t6Uwlit20nPWNjdGlm8dBEYA4+GebGvatN/1ynWvnqJ/9I+ynoGW47CYNnbh7MM9j9+tViMoiwb0potmJGUuFwj9IVhLucwwVY5t98iGW9LuLDLCxZSgyil1yGSwi5pPKU1EqMGbkDzpEqUzosUR1knL3jSmCpSm1hrbfHxqwBuDU4rKeua6Q9sWJM6iy0xiPoOEEIc3hqrVhTxtJveUbNkj5ruvc+Pip+h865/x35iv8zdaXyVVIl34V+xL/PnqZ9jOY7qqZNJOqD77JWqzxTKvaCc1s6xkJ59gnScPEigFuAS+plaGsWk33X9P6jSjyZz53UNOgj6/deuErKjpJCFJKF/606xkmVWESp1G45RVjW4AkXUO7yQUPQoNRskkHqM12ojO8niWEwYK9z0uSJ7GhIIA24dfumqBz7KKdqTpt0LK2jVmI0VlLcoYkkh0yXn19FRJhbCTL10YyCz52uGtJy+OOFmWIo1uGgWq0QCshqG14oB2HHIyz6ktZJXl6maPtKi4e7KgKC1aaxSiGTBKYYwA1EArTK0JAs0rl4bsDFqn22SUYrwsiIx+Ii4oLWriUOxXtw4W0jqPQ1qBJjDi7q8sBNoTBnIhcbwo8EA7CnF4sko07eu9pDkvmvujJde2+6fn1zcu9c1+i595eYf1RuO5CpZf5ALQk1B0u/sTkbf0WiFrnfiZLnPnPSfznFkqMqNeK+L57d5T2+ggFxdXN3t89cYhdTs6DcZf1XhZMGjHT7Tyz+ujU+fA87x+tFWV8J1vSPD5+vZZBFJVNu1wB5/50tOjkX6YWswElF194aEpMt0zMHf4QADgYiZM52ANbr8jzx2sCbCrmlD3G9+R2/OJBNWnM2HWvGsYv/iMATVGWENbCyNXVwIuD+41zGUm+7yxI9rE2ZgmBfps270TEOVcw2DWjblHS3anCRs208t+hLEstz8AFzTTkRozzArom4BT/WEUNa3gSo6LrYUF1U2ckveyTJvxTN4oWI2FzIU5jVtwst8wgjz7dR9GrWKhQDSqvjlGtll3uoQixxlDHUbknQF2bYu61cdpTbwYoaoSUwccrF3l/a2XaY8OuJzuEXpLVGQoW2PwZK0BpshIjJIWugmwyuDrsmnzQh3EZEHE0hkcnspCVFtsEyBfhTGzZEiQxCRYAlvhypK5TrDtHrbf51cvfJH/4fjL/FL3b3GgRgC84C7wb9d/iN+jL7MZFQTpCXudbfZf/zkuvvAin7SeSVqwNWhxjRnDkyMWUYt3og51bSl1gNWGQbXkuWrErXBXjEdVxX5Z8bV3TzhiiXWOXhJi5hqtNVEozuvSOgIjys6ylt9boaGwnmXhGimsOTX0hIGmFUnu5GpKT2U9Vf3dYsU/eFkPaVmLAckLwypB7U7Ar5a2/E6/S1qWvL8/p3aPvhO1ErCslJiReu2Iq52I7zyY4psWu11JdRGmsGpa/90kZKObUFlL7RyDTijB6VomH6VlxSKvwMmIT90cg6ABk0moScKAS+sdXruyRmA0aVFT1hbvPWVlCR4DY9O0ZL8ZRdmOA1pRwCwtqB0ksWFn0KbfjvjO/QllZamtpXIOax1h002yVvShoTFoZBpUVTmGnZjDWdaoRsQs1GtFvHZl7YksTaUUvVZIXso89gcj0ZMqZPzp7lqb16+u0YkfZSiXecUbt0/Ym2RysYJIG3aGbT51deOpRiOAyxsdDqZd7p9IAH47DqitY7os0VrxiUvD8xGbH+E6B57n9aOt0REcHcDmbgN+mgoj2Lwg4PP4AC5c+XDXe/hA2tWdPnQAvLBikybDMk8F9B3ti15yNhYgONw4c8Sv9JpBJGxnED5q2lk9r9OXVnVVSbvalrK8PBOwGicygnM+FUNUmcvEpLqGOKaxVzz0Ddk0Hm11Zv/1Tp5XN2ahIBCwW9WNIM0I8Or1hEGelGdATKkzJ3jcZJcWuTweNq9bUUsKCGLZJK3EUPR4y31lnLFOjpl6CBB7L4zpavzkh+F+f7xMMxfdOzkPWdacp/DMlFXkaDxB6Dm49CrB9gXi6SHt0QNMnuLDmMXaDmk45ML+O2Q6JG2v08onGJURVgXKO/K4Qx50GLock0/QWpIBnHNo73BK422NqS3OtHhr+BLOBFya36evKtp1gY4j8lYPdEBtSyLv8d01DtZfIBr0+ZaZ8Bdv/CLvL78CCtZdh1/Iv8TPmy+S6YisLKl0xbS7xS+tf4bXLl0BJe3brX6LrV6COS4od/rcpiMzs8M2O3bB1HRZ0Ga9TjmsC6YqolfO2Y8GHNYBhZXIpnFdEkeGSBuWhUcr34AR3+TqO2rvSUv7SOu8qh21ExBY1pZuS9rmpbVs9mLS0jGxOdWzeu3fZzUJPVgNRe2onD/dnn4SsihqJmlBVojTPDTSkg2MhNFbL+YoAamSFXrzaMa7e1OMUsShBKCvgucdgId2qOi3I3YGLV7YHbC5LLm03mFvkpGXIqX45KV11roJb94ZE4eSWTnsxLSTQGTWeYVSmtcur1E7zzduHvPu/pTDScZkmfNgnOIcPLfl2OrHOA8Hk5S0qOm3I2ZZweWNDm69w4PRklZo2OgntKKAQTtiNM85muVEoSFq5AF5WeGVoh2bU2Yz0IrKWb744hYX17sczzNq6+k32tPHA95XZZ3jG7dPuHO0YLOXsNUM7cjLmttHcypr+WKTJQryfvj6rWP2Rik7w9Yj9z8YLbHO86WXtp/aro9Dw+evbTLsxNw5WoiZTctEpus7fXafkQd6Xh+NOgee5/WjrVUEkHnKW80YAVCjw2cDz9U0mZWz+IOU92ftaJAW8N7dZtZ6k12ZpxLIHjTazOlIWs6Pt4tWfTfvBMiu5qwvZnLbNAxjEInZJQggHEqb/dZ3hGUdbjbz20uJXZqPBfjhId49M0Gt1rVa7+O5kbbRGa70lCtgZ13T722A4Co2yQHUD+kym/NgmhxLjYDROpfln/Y1y4b9NE9OOFINGK2boPaVDnU1mtPT3KfOckIfPTkf7Bw+q3Rwdqx0cCYlWL03XCOFMAFkC0JfkcxPmF/7BPH0CFXV2CBG1wWkKZuxZ6ENUTYhSNpEtkJ7iKqMuEjRZUatW2RaEZsYQkNYVdRBjAoDUhVDmVM7jzMBkYZx3CPL22znh2RRB1NXdKbHWB0QBxplDGpjm+4LG/zF9/9//J30y3gchpDXWv8n/tXkX+YLo9tE6RE9t6DwihutDW5efJ3l2hWWeUW3FRIFYj5ZzBZsLKZcu36Rq0mbf/z1uxwXQ9ppQTufswxitLN0iiUJSzSO3Gl2l0dMdcKJ6VArTZnVdGIJEK9rh/NOgCeeIDC4yuMVVFYkF2suZaeYE2LJCDgK+uxnrVPy3jtIohUIkveR0WJS+mHUwJ5mapFzp7E+tvlX1passhRlTe0BC85bTO2kBa4ka7Sylt987wilZB65VopOEmC0pnxs62KjCANDZS13ThYsioqtfpufeaXL89s93tufMc9EFtFtGZZ5xTQrySpLPc+Jc8neHHQieknIzlqbr71/zK2jGfdPUhZZiXWeoqpZFhZ34JgsE6LQME1Luq1AHstrFnlNryXz10eLnMmioLUeMOhEklDQZH0eN0xm5eV8tkJzms15PM/pJhHPbfclnqodnoLz71ZH05wHJ0t2HwKRAEkUcHGtzf5YpjetnOZH05yDccaFtfYjy44Cw4W1NnuPPf/xSqKAVy+vcX2nT17WaKXotsLzkZofgzoHnuf1o626OmuLPq1WJpjHyzlhQ/fvCWuoNWxflBGRvcF3X6dSwlzeuwnttjjRFxNhJsOoyfHMpf290nyuQNTDYxNXt5NE9qE7EFbtuMkCXbXJyyacPW7Jtl2+JpFNi7noSk8O5PWdnugPq1qWUVWizVzNatdigiFoANVq/vfD0UZaC6B7GJSugKVtMjltLcukcbiv9m011UnppjXteELI6Ry4h2ORHvqQPwV3D72mtvKU4iHW9AO4TR+Xj37gppl3coyiRM5FkZ0F8lcPAegggKSNRrOejsje/i2C6T6ZdViv8K4mYsYgVNBe4yAr2MkmZEkfU5fM2msok2CrGq81XQqMq7G1ptAh3nu08xRhSB0bOukMZR0XlgdsZCdoPIu4x9IHtHxNpy4IQoeOB+Q4/tril/nP3vhPmSPau08N/iC/e/Dv0lI7mHbEN7avs3t4g43ZHjYvSJMOPk95vi06y/1xdhqy3g80lzY6bPVbuFabbhJyQMw7wSaX1JR+nTK0MoLToshMBNUJvhphlWY/6PFGcpmljkkLaffGTau4dpZAKYyGINA46zHe8clij2vlCbGvsWgMjkwf8l64xbvxDijFIhewtLoO0YDSCuf9U68/vh8u3Df/F7U/dcEvihrnoaUfbe3XDiwe3bxvo0CkAVUlbvGscgQabGrxKLRWKOfPwuYRpjcrLbNUtJzrnQXDbsjv+eRFfu9rFzmZ5VTW8mCcsswtNw5mzLKSRV6TlSkKGLZjPnl5jXfuT5hnFYfTjON5TjsOSCJNHBnunyzJS2nld4OQODQUpaWonRjBioq8rGnFAf1WxCyriRYF1nrWuzHPbfV4frPH23sT5mlJUVumaQVRwCIvaVJKef3KOveOF+xPUqzztKKAK5sdntvqPdMwdDTPJK/0KY8HRhNozcEkPQWSh7NMGhFPAbRGix74cPZs4Hl6/qxjWZxdxH632fPn9dGoc+B5Xj/a6g2lTb1S5z9eVfkkkHROAsxvvyuvSdoCcN7/tgDRVz9/lpv5rNq5LCzn3l0BroM1YSvnU2Eruz3RnE6OBahVpTymJ8KGVqWA06Ql61qxoVeuixt//74AyqqZlmNrAZ+DIdx9X/Si1ko73NYCWsMGIG1dkGVPjiFfNuM6mw/nIDgLMF/FKJ2WF/3o02aOnwapL89AZt18WFt3Nv7RW1CNwWj1Sb4Cq0+t5jkrK/MTTnfHaV/yA5Tn6UM4V3v5PQGodwKq+2tnFzRaNbKCWABpFMmxcw5jaxI0O8e3yCrLIupRhzGxq3BBgCJgWM4pfU6VF9jYoazFN6xgD0toSxIloD70NZlpg6vJTERgCzIVk+mAAkOrXDKJhjzoX4Z2l954nxdsRha2iZTlH4d3+H/oX+emFx3nZzrX+dOf/k+I/Wukec2iqMmKkk+k93lueY/M1Twgoiw9O+V92u8tGBUFnStXee3KGv12JJmbrRE8uMNcRxSVgL00SLipAj5RF9Re0Xc5ynsmeEoCbkcb1MpwqZqgPXyl/TylMqRN+LrzEBmNA9Y6scwKtzXPl0e8UhwwNR2O9JkxsGdzXiv2yHXEg2RdSPnmlBkt5903AffPem980BIPeANoGy2pazxx8OS1j0e0mwooKvkl1ALENQJO66av/vCnlEP+dCLjMUba8AqYpCW/+e4Rh9Oc/8NPP88LuwNO5jnHt0dcXO9Q1o7bR3PKuhCGtXJM0pybBzO+82CMUYplUbPdb5FEAd43coF2KEzhJGU0L/AKLq21udSJWRY1eWlpRYZlUdGKAjZ6CcNOxPEs57Wra6x3EsbLkl4SMm5c7a9d6dJvR9TWUVSOtW5MVta8uz9l2I5Okw2+fvOEk0XB569tNqywJzSqGWkqsgpjnvwMzyvLdFnwYLRkWVTsDNvsDFvU1p2+9mllGl3ps6qsLd+5N+HeyYK0lM+nJDJcWOvw2uW1R0aMntdHq87P3Hn9aGtzV1i+2fjJgPbZWIwpW7uP3n+0L6CzN3h07GVvIGDvnW/BF373dzckrW/BC6/CL/39JjNzBvO56CbDJv7oza80ppw1afePj4Uh1YEAOGshb8O3fhPWd4UxvfEdiWHa2m1yREcCUi9clcfff0tur+8Iizk+EtBaZAL6BhtNFNSGAL50LuB2BX5Xox/rGnBnbeVTl/pTvp51E3+kEXurUuJw70aNQ78JmH/YaLRyrT88megZwdeoRo7wTHD6wet7QVTLBwCfZdlkkTYTl9JFI4FoJj2VuUgSOn0whry7QXl8jOp3iAabxErRm+xTRwl57QmyObum5jhOMMs5tqpIqpwqaONMQLdMMbbCmwCcJVI5WdjCRi2KNCOpl2Q6YmES1uoFVRChvGdcWLSJGSdDvpMs+GvqH/FlboOHrWCNf2vjT/B/6X2Bu+E1/uHekrSo6SUB10Y3ePXgm5LNWHkuKsMi6mI3LjCIHfrgBt9WLdY6Ma9cGkrr8cIVOHzA3q37WOtpRSGhqriSH3KxnnJkOoQ4RqaLxrHuUoLS83a8zV4wZNfO2KznPAiHVNazzGuS0NBNAuLAsD1sC4isCq7VIzITs9Rnf38KWJiE2Nc8X54w7m5QewEWjkZF4hVOPcp2KlbKjEZP+n29lwQE1fZMc9qQwM9czqnq2K+GX4mW1T2Ehp/22hU+CgNDNzaU1lPUlpNZzi+/ucfWoMU7DybcPpozWhQczTK6jRmo34pkNGdanrKGy6KirOTirxOH5KUla8BVFGh0M3q0m4Rs9hPWOgmtomJvnMpra8fJbIG1loNJSisOmGc1UVDRawV4EorKcTzPuHu8IAoM3VbIS7t9aI71lY0zprEVBfRajhv7M9JcLqaLyhIGmqubXS5vdOkm4RMZqeNlwa2DOWlZMc/ErPjP3z1gu9+i1wop6mdPkCoq+wh7aZ2nqi1aC9j95u0TbhzMWe/GrHXFNb8sKt7fn1FVli+8uP1EAsB5fTTqHHiel1zSLxeAF91i8HRx+Q9U3R68+Bq8800x1rQ7gIJsIQDw5deFFX249u/Kz+QxAblS4lQ/3ofRMexcfPZ6lZJIpYvX4Mbbwi62OwIy41i0p8smA/LS8/L8uhatp2vc6krLdla5tJmP7stjRSagtNWGKy/A5343fOaLksF5+EAYzYP7wrauvgXDqDnGTQxSVcqkoP0HZ+xm3egx47jRV1phOKuHQsuftp8rnaUJhBmum3intS1hX00i99la4odso3891ZOahv6pz8DlI2DXynLDSL6tbf30bfke9eyvoA9QK0YYJcB8PhMJxCo5QGsB8CaQY1aWoBawvsUsaGFbPcxwjUgpvJa8RUVjJsk8vbpgZ2eTYnSCLwtKBd0QWh6UVXivUU2Gp8ZjrKVfp8y9xXmLViFDm+K1QemAC+WE3nJEwZT/Z+er/A/q6zg8MQH/xoU/yr9z4Y+RLhR7xw9YtGcMO5tMlyXx4T1ePfw2kau4TZ/COPohPEdK5E6YdK6wvZyyl0/51p02n3lug61Bi6y3wdH6dR58+9e5mJ6wu1ywkY3ZqGbcDQZYZdAevFJYDCPdZsOlrNmUw6CP84qtBniC5GvWzlHUiqIJE2/HIdfbMPQFR9EA7c4A2erdMDMJQ5uSVCl50jvVdPbaEVFgmGcls6zC+TPQaZR6JMfzg5TR4Ffs5IqUR1jN4rsEyD+8Do9vTEcO67476LUeIiXryyqZLrTIK3YHLfbGKV99/4jfePeQu8dzlk3LfzTPcU7c8MYotJbJQ8u8pLZiijqYZAQmxzox1IRaU3tPCLQjw7ATcfd4SSsUENuKAsbznJN5Tl7JFKNBO2TQjinqmjfvpGRlzdWtLqs98ohGdbOXcDIvOFkUfPbaxhP76JwE5N86mvPpq+u0ooCidnzj1gl745SXLw7oxgGTZcGwE5MWNTcOZtS1ox0FBMbw4oUBnThgb5yKJCAyjBbFaTTTqsbLgnYccGHYpraOeydLbh/JsdNKkYSa+ydLLm92H3Gvd2LRNt8fpVyZZFz6PgLsz+t3Tp0Dz5/kck5a1/dvSTsaBHhefE7AWPAhvT0uXhXQt39PpgOBALadS0+2zK2VXMi4YQG1ebRFvzIpFU8bkfhYrUZB3vwOPPeSABOAyQlkubCPo8OzWe0vfwq+/Q1hPtOmZW0CMc4UTfRTHEv+pvPSkh8dSVu91YJ272x85sZ2kyHakeV5L3PY01S+NeNYNJ8bW6IDHR1KiHzYZHMuZvL62gvgU40W1loe4Q1XYyydA5ufJWDPp5y24HUgx9MDjB9KyUZ+huGj5iYTyGtX2aGrWjGyP8qopKeV1o2RqDFUrUL74ybyxVphrrNlY4pqwL132MvXKA6nmHaHfLhL+/geNoxwQYyuS1mOrbBKkUQBUTHHUhECvpijGz1inXRBK8LFDGVrAoGfJMqhqMiDDrlOKFXIIuqSupJ/pL7Mfxd9mbkWzez/PniN/3D3T7F54TN477kzm7BtHRfWuySbW2xE0Hnjm6i64tC0sChaYUAYh/i4R7ucU6QS+9N2Fd86nPO3f+09yspSVI5OElAFuzxfHNCvCkoTMfEdSh1xqR5Tqoipb+OVwitNhT4FnlapZkLTWeW1p6xrUDD3NUoVlG7OZesp7KrZ/Wi5JvmyrFesqabbigiNgK6qdiTNTHO3Um4YeRs/zjw+qxQrjSDUtecRyLhiMp/xOq3PwLJRSjIq+WDv6Lz2dJuPn0ArstIyWuRsD9v82tv7TJcFKEUSBsShYZYWLIqa0bKgmwRUtYThK5TENtHoSy2ERouSRUESaLKiphUFXNvucetowd4kZZ5XLLKaOJB1OO9x3jFNKyo342gakFY1w3bM4TRDKcWl9S5aw6gZk7nejXn/YMbhNOfa9qMEw944JWtC23stacF3kBGV90dLeq2QT15e45u3RzwYLVnkFZNlSTsKKCrH5a0uvSREKcXusM3BNOXqZo/9Scq90YJeIuzmIi+JjOFTz23QTUJ+69YxNw/nxCsDlPV8686IaVqy0U+eiE0KjTDC+5PlOfD8iNY58Pw4l/cC4laTeLoDATmruv2uaClNII8pJW3Lb39DWsCvfPoHnyz0eA035N8K9DxruXkKx4cyBjFKBBStbQkYW4HOZnLMB6p2V9ivh622y5nE/2QNCJyOZZtWmsy6FLY1ioVNy5ayzjgRIJZ0BMTWtbCvd27Ic7Yvnc0r76/BlWvCoJ4cNNE/gPZyDpQWBvTqC/Da54WJvP0O3LsFw/VmBGbejPpUIknACwNbPmz+abI+T/WXDRhYtfnDWNjPohA9aV2tZhGeAbkyF4OOamKZmpbyUzW5H0K7/buVR50xWWd3NhchDaBEnelfr1yXc3zvRnNcvIDsdkcAu3coZ1GLOZW7y3FREtQLrCvplgvCMKBUmmrzEslkBM5iPOgoorQObwKibNZMQDL4IKSMWmhnUdqgVI3RCm8CDlrbBGXKb6hv819H/xP3OQHgdbb4j9f+NX7WXmA/vMS9Y3FGL6YzrgwT8vaA0Gg+v6ZItmJqs04wX5JVim4S0U0ijIa0imA84ljF3ClT7lUhd45mpzmZLeP5Pflt5s7wdvt5Lhcn7HrNNGgTuYoL9YwT02GuBLBbpQma90Dsa6bmyUDuVZzQ6jxMfcxCh7TqgsVTnt9zOQsdk2mJA0pLRxRYrHc461BKEWiNtY+ylVopicB9DDU+jQWVqFnXyKvVw5v3XcO7jKG5UJN7rHVUVgLoP0iJXNoRBYbSOmzt2J/mKKXQRjNohZIwZqsmxWw17rNikVWEgZHJVc6B9qfKF+dpTE41eE0cxLTiQBjivELhycqaRVYRGI3znlleYhQEWlM6z2heMNEFcWAwWjPPK17cHZyGtA9aEdOsohMHJJHheJZxca19CupkXnpOEom7XT+UJ2q0Yr0bN6znkC+9vM3d4wW//vY+gZHHtvrJaTscaJhkaMcBv+vlXe6dLE4zQ6/vDLi03mF70OLW4Zybh3O2+q1HAOZaN2a0KLh7vGimQz36eR8aTf59aMufVrWV0ZxhM/jgvH58dQ48P66VZzKd52i/CRNHgNPOJbj+SWHmbr8rTN/DYHSwLi3kezdFn7l14cPdru/2B76Yw5tfFbCcpgK28hzuvC8M3pXrApyi5Em9aLpsJtcY0fat1rPWAN50IUAujGSZy3mzrFiOhW10kIuZgNEwalrLD+VbloUsvyrksflU2u5He4CHyVgAUacvQLm/BuubAkqnY9mGVdi7aeajx4lsa6sNL31K4pfGh8KIBkETH2QFkGstwFDrZruaL9HTyUTBGQnlnfQHXQauJyBy1bIPG8YwX0oL3domLL7Z0bK5OHjWbPYfYanHQWezSTR6POoatIWskRhUBfQuw6VrIo9YzuU57Q5Mx5jxMSQ9Hsxy+pMxJohxWrEfDYh0m53iBKI2YWhwJ0u0B+KEoKqwKFxdU4UxYV2inCZPOiy7G/RCoNNnsn8oweZJj3e7JX8t/3t8xb8HwIbq8n/Tv59/I7+CHsfc70bcTcFRUi6WtNMJ7wQbLN94n2ErZIuMXWthuEl3ueAQT1lbrHNkpcUVDlOmTIKA7zjFglpiV7VCa+hlU+LlhHtBD7RnQYB3jqr2nOgOGyzYqubMG6Y48jUnQYd1lzLXCUdB/3u2u5c64kG4xieKfXIdUqszsBC5mo4reS/Zonzo/rSUsZZaKUIDpXVoo3C1JzBiSddKUVaPijGeti2BhjjQVNZhAf89GNLVo61Ik4SGRX524VQ2mtLvJ2K0sg7vPZVDDEGF58bBnH475Mr6lkxWSktqWxFohXce5yQ/NA4NlZWYKqMVWsm6nRedqvYeazSBUewMezjreHCyJC0t692YYSemlwS8vz+jqCztyDQGII1Xwk47C7UrSIKz3E7gNMc0DAz9dsyscbyfAs/aUjQu/wtr8RPayXYcME1LsrJmd9hmZ9BinpXMs4rtQeupU4tWU582+wmb/aQZdelPQZ7znrsnoj99nNVMoqA5XxXTtHqiVV9Ult4z8ka/Vy2LijvHC+4dL6msIw4MVzY7XN3snhuWfkx1fpQ/jlVXwloe3BPQtZpnni0FbNa1tHnzDHafMus8SgAl4xQ/bOD5rPIebnxbtJjXPiHbWWTCxLba0q42RkDT8y+K0WgxFw3ju98SYBfF4irfuSwgdXNXQPXFqwIaF81887IUZnKwLsxrpyfH7Hi/iesxZ4zqw6CuWgW6K4lnypdNC9vJeqJEwOi3vgKvfk5YxPn0bH57kgiTupw37eLm8bKQ1xoDl56T+9s90brGiex/UYgxavUlWZVnWZ9B+BCD3LDJK5DpvOx30ISuJy25v8xlWUY/6Zz/bQCczZqfBJ2raUrOn7G6XkPQ7MtiLnraqpDjFCegmouILKXurTEK13mwPsDmY4Z2SVTl7BQT5jrmru7TbXUIjkco0yLqikEm8gti7ykxlMT42qE9KGUYxJrElsx1yF57h8xN+GvBL/G3s6/g8IQY/gRf4t/lZ3m106bqaN6pO8wqxVo6QuGZ157Uecx8wvZyQrcVEhRLlosR9/qX2PAh6y5lUsbslxYPbLqUoCq41Vpn37dOlRHC2Ci61Gi8gD4LU90iUyF9lzMzLQ5Mn007Z7OeY5UicjWRq0F73kouMjOJtLEfkvc6JITd+7NgiputXXq65mI+okaTK0PiahSe96NNbkbymbJynddWgEI3iaidw9WCtpz3VE1APZy5znXjc1PqDBQatYrcNQLk3Nlb16gz1/rTSgNxk12rOB3XgPVnLvgPWpWVHFOFtMTjyJCWAo7evDtmq59QO8c8rwiUwiFspmhS5TiI7vVsSJhqDtYKkF1ca3Npo8v9kzmqkhnwlbXi3HdegLtSOK8a17nCBhrjDYFRpI1O8uF98w0fHIeanX7C8TTl7tGcViIXBNY5ZlnFRi9ha/Akk10361xlaCql2F3rcLIYPRV0rqYUPTwLXtjXs+fW1snI1/hJGDJsR41hqqR6zKC0LCoCo7iw/v2HyM+ziq++f8jhLKfXColDTVFZfuvWCQfTjC9c33rq9pzXh1vnR/jjWCeHYnLZ3H3UKLQyDu3fa+JovsvpX7mFf1y1mMoEo8GGAIor12HvttzvvIDQwz344r8kZqXjffjmbwhYLUoBHWUurGaeS4v71c8LcN6+KDrWay9LyzZP4cAK2KsKGV+5XAiA0aoJZG/MRmVx1iZfBb3buhkV2bTDTSDHKlvKcdt7AF/5Z7LukyMBlFEEm9sCcvfuyfYuZzCbNnFHTvSiB/fE7b++fQYmlRHm1lYCmtttWddyKdsZBJxmyUStpp3uxRQE8rp80RiEwjMUsXKzB6ss1Q8bcD7KWRlEVurQ6Icaow6FM/9/9v482NYsTe/Cfmutb9zzmc+dhxwrK6uqq7u6utUSEpIBybKJsJHNYGxjB2AisAmDA5sAYWQQDgssY8ImwpiAIDA2jnBgIJDBSLKFhNrdTXfXXJlZOd2885nPnr95reU/3m+fc+/Nm1mVWVNm9Xkjbp48e/iGtffZ+/me932ex6CVRoXtCAScJyQ593Rot29fn6s3z/1YnZM53v6azOw+fA+yJUWQMmLJoNPjYW+NO26duM65cvwBzll+0LvFYH2NuPMIU+WYbE5cLOn21ul0O6RRhLYedfgYbEN06QomjrHO8WB0hf+b+6v827P/kLmTrsIf7nydf2Dw97NZdiiMI1yH6tbr3G82WS+mnJ5MOMkq/MEjhj5jQszCR0SVwtiQ14tDNqr73B9cZTNUdIuFZKR7R6gafj+9zu8iPpmBEUbN43FOyZzkSi8G1CbkUbzOreaULbvEKsWJ6VIQ0PcVj4IR306u8jhc4zQ4n5XzXt7uK5igtRKPfi3gyCvD94MbHEQjNvMxiasZRwMemiEHpo9tL9p8+x8BWPJar4DIsmzaJKGn3zFaSdLQSttm29fdKBHIJKE5s9ZxHpyW1rdWCCvs5e3s/Dmw1ArmZXPmI9pNjKQTNf5TXWMpIAk1nSjAIcebV5bHpxnTvKIXh6RhQNlGYa7cvspaLiACI6BRa43RHqU11goLGrWtcuscee1IgoCb230a73h4vCRs89mNkZGUunGYSFBtFGhxQrDCJBeVY4WhisoSB4ZeErIsapLQsDfOqe1y9apjW8P/Z2MvASbLqmVdz4Hk5bUOdw/nnMyLpyI2nffsT3I2+jHbT+TRP1taqbOozmerm4RcWutwPCs4XZT00wilBDjW1vHqldGHYj1/lHrn8ZijecHV9e7ZOEE3hmEn5NFpxp2DKa9f/7Dw6qJ+snUBPH8R6/ignYd7TiuinXujWH44GefJaupz8cbPoopcQGDSio16A7j9mgDP2UTA2LwFp298Q9Tg0xOJaby8c+4zuZgKKEs68ME7AuBefE22fbgv51XXEEeyzbUtmREMwvabtRXaLBZAOwOpdUvHKLkvW5xTLNlSgOVyAdstyE0SmE5FMDSbiPp+65Io/KtSjuFwT+yNjJELhdNDeHxP1iFJBGibQFru2UwY2qht/3svj4tCOQ7nhEE1rQ1UXSKenS24axpp2RueAJ0t97MSFf2kK+m0zGvZ7kvWUgUhqmnwTYNCPCK9CdDGoPpDTNCOFlSlvCa2fsaDqRU/dfrymkeJXASs5j9P9iSiNUrAhHjbgI4YZhO6Ycbe9gvYJiBZhEx8RNrvkkaGIBwQT0vqnavYwwcs6go1nVIFCbYqiIsCE4Yoa9GLGX+pO+afuPevc7fZB+CLboN/NPkzXFv7E4SBZjA0xIsxxcY2k63r6MOSo3jEoyRE2Tm31B1m6ZBZbfDWsag9WsO73Su8NvuA0eKIDwbXoEnokdHzFe8kW/ze6BVs4dGuHUswWjC5dkx1h1IFJK6i1JEoq4MehCHDas7V/Ji9YMhbySUOOxvccz3cM6MvT85Jrt4lgdI0WlKMwFG3aO2BGXGvO8Q5CANh2AKvsO3MaaiFGZOwK0kLWpYQGYWLAryrsc7TeGEhO5FBG0XVOJLAkESBCKcaR6ilHRwbxXo35mRRUlaNgFPvqNsOemTEqcArKEqL0hqjRLGduJKdYsblZkZiPIeqwwPV58h8vIH5qjSteUJkUEq186jSvs4ri0PAZWgM3SSgExtmeUU/jTBG4aynaJSMCbjWDEqJ0MiEhrA1Yd+fiB8mHrbXUm5s9TleFHzQzFsrJdsKszx5Y1tTfgGehRV2dbOf4LxnXlQYpciqhqsbXeZ5zZ2DGb0k5OZ2v/3Tl7nbx+Mlp/OSx+MlO8OOMKnOM1mWOO+5vTN4ahZy1I358o11vnfvlPvHC9LIiJuZtWz0Er5yc+MjzehB2v9X1ru88WDMsBN9iDntpyEvXx5xaa1DXjV4PGu9mBubPa5u9j5xgtEsr9ibZKz34qdmWEEuqEadiIcnS17cHV603H/KdbG6v4hVFR+vSNeBsJ+2nR181raoqYXV2/4Yu6KfdK3UyNaeG4ObVtE+Gws7aIxQGT/4rjC6cSwt7FVbXClpzU+OhcWcjYX53NiG139VWNI7bwtDtvOaPGc+Fga4zGU20/vWUL1Vj8epsIyLWZt1Hp97Y66iJ52HTqvCP96XY9i5DBu78Dv/X3kten1Z6/1H8rPMBPSFIXz7twRIdlrWyTkByTg5pjiVcysL2TdKLgp6QxGBLWZC6+SteMgEMpJQVW2fsf3/5onEo5WB/Jl/56dhO5UA3ro6FzYZLbO5cdLOxAYt0BWQq+taZtmUgjBCmQAdBJg4ETZ4sC7bnI3blKeqtfuat9GpbcyqMTK/HEbthUPLxGRLee2Ngb17hJNj+iYmSDtEi1Ou2oZ8/RIKT6MNcRTI+GtvRDQ/EaX7YI1Hi4bEVmwuD0nLJY0JKbzmzv6b/Nnet/iruVh+baou/0zwx/gHiutYPySr97DJCFV7DqOU6qUv45I+WbnkcJYLY5VNiZqSzIxIQ09WNljnsB4OdRcd77LjlwxsQWMUU93nB/Ea95JtkrRDWBd436bssGITFac64WE44nZ5xCF9Kh3iFYwJUT7i2+lVfi+9yanpoZTC/Qh6ipWg5jz/wZ/d7vHSpkUShKS13mbjqJbv9vI4W/uWibNnAqIV47lqr1vvKUuL9VA1jqwFlspDo1UrsGqIQn3Opmr5M/HKn6nUJdJTjj80mijQRMspX8rusdYsqU1EoEPWqgOuc8x3g13uxFs/dL7VIccSBxqlNFnZ0I2Ds3a5Bqz1LIqKrBRWUVjGgJvbAx6PlxxNc2a1leskpanbGVyZx/REgRi1d5OQfhowXZb81jv7nM4LWVetSEJDUTVy0eZkXKETGbpRgFaQRJpBGtKJDYfTAuc9G72EunE8OJ4wyypCo3lvf0Y3DtkddRj2I4bdiDfun1JWlr3xyjXEM0hjvnhtnavPUZBf3egxSCP2JxnH84LGWgadHpfWOqx14w89/tm6ttHj8WnG43HG1iA5j4HNxRf0q7c2efXq6MzjNAmDM8HUJ62ishS1Y6P3/O/GNA44nhXklb0Anj/luljdX8TqDoRR+6iytbThhxvwwdvQreQ5K1X7fCKG6Js7P7NDZjASlnMxPRcOVaW0yG3bFh9tSLt6MRXANjkR5uvJWtkBFZm07GuJJCSKxSZqfbsdINMC0pbzNu6ytedZTOW5cQJxt2XVgP5AwFwQwHRyPn/aH8i31ebOEy33PRkH6PUFfOYLeHRP1O1lq1Jf5c/DuapePQEolZbHu9av8vpL7diBk5ndupLjPnzUqt/b/PYzc3gxc6Y/FFDWTGRfZwaKq7nJZ9tcP+zr95m1Puultl6iqt1HU4vFVLaU44tTSM7HN0xTnV9kpF0RvdWVrKdGjmv32vn4hPfyHvCunV/1Arq1ESP/wUhme50XS6qHH8B0gnEeE2m8czhtiCeHKFuTlwXFaIfawVYSUScR+fpl0tPHuMUMm0HhLcFyBrZiEjr+N503+Tfjd7HKE3nNP1J/kX8k+dtYH15icvsyLlvQLBY8oM9JsoZb3+bW2hYH+1O+c++Ew2lOaDS7ywXrRYPvepIooGgsgdfUzuO9Zx72yH3Kt6IboDQTF2CDEIUSxrVluHAepQV0lpXDoXgjvMSwyfhCtUfPVdTKsNAJD8IR302uchy0fy+f4DqjaPzZO8OpVftagGAcBFDVVPa8CaDbt4AEBHmMAWM0aWSwzpFV8p4LdPtW9avkoKffi9b5M8DbjwzrrQ9l41v9XyD2SzITKlGcTdu7D84SdjzUJV9YPqDX5DyO1vBKESgFUUK/yXm92mNmUiZRj4+xAJVj8tLuVVqjvCeJDOOF2CiFRlg8pRR1Y4W5jeRvIjCaQSekto7Ge5z1BIGmZ0Kc88yLmsZ6Bt2YsraMFyWBVszyivGiorZynqFejTHILILzwkL34gitNRtJwuW1Ln/olV02B4mImdr31duPJ0DOqJtIvKqXeck7B1Osc1xe77LeS0gizeX1HoFWrHVjtobph8Q/T9agE4GS8Ym9ccXJfM6D4wXbww4v7AzYHHx052zQifjl25u8+XDM0TTHeZlG7cUhX7y+zsuXhmilntv+/6RltLDLjZNEpmfLWkeg1acGthf1o9cF8PxFrO1LYi+TLYQNerIWUwE3W7uioI4iAXdHLVBNO3DzFZmH/Ekayf+wCiO4eht+8B1pT/cHAoCzpQCsIBAmazWcnnaFzZyctO3zSkBInMgs40qd8Gy6UZIKQHn7O/LclbhnPhbWcZXzt1wI+Ov2hVXdvQovvCrzo++9AfffE1A5GMDk9HytTCDbiRM5xo0teLQUMFvksv8wEjC4nMtx9gdynzYCKvP2sb6dba1L8SLdvQzXXpTnqRhGm7IG/ZGA19VgnGsZxl5PXuO6bVuHkfz/x8p4Pwnz6SV3frXOcTszG0XtHGx1blbvvaztyug9V/KYKBbQHieyvdlY1mG4JttJEnk/dAfnILm/Bt2uvDeyuYDT7kDWvk2ScvkSqwNUMSeta6piiYpjtNYk4wMqk3KoOnSjgH4IylnK0RY2SliefpfO4pChy2m85V/v3uVf6nyfaevH+V8trvLnil/h5Sbhnjd812xRLQJmRYfNIuekhDsqZZBZ/v3fucPBJGM8L8nKmshoTmvNvLQsKfCd5Aw8BV6hNPRczWnQY8+laKNQWklrvZ306MbCeDXO450FFE4ZtHe8VB8ysDlLFVPpkMBbsd/RMafmk4sxoAWSnBsLeC9CH+s8VW0JjIhfVu+cFXbzrJhPTeMcVaPwXlrwXoFG4Vug8Ty8t7o+NApCYyReMgh4PFninCcKDEVtsU6OZTUvKsBXQGtRWTbqKevNkoNgIPPE7eMVcKoSLvuCS/WEk6B3Ntf65HmsZjpZMbtK4a0/C/2SuE6Z1XR4DIooMvTjgDAIyEvL8TwDNK9fW+P9gwXjZSEjDM6TNTVJYNgZpbywM+SdxxPWezHTZcmiEIa4GwcSDdpYacoohWrHCla2VVuDiGtbPV65POJLN8QAflXv78+orWdnmHIyL1Fti3+QRiyLmsenSyrruH84JzCavHLEoSavLMNu/LHAc57X/P57R5wsCta6MYNUEo4eniw4nRf8ygtbHzvrudFP+I1XdjmZF+SVCKPW+/FPBGw+WcNOxKgbM1mWbA0+fDyTZcX2MKWX/gy/9/6A1gXw/EWs4TrcfFmyzbOl+DhCC1iUzDyu0oJuvSJM4GIGeAGq6c/JlHfniqjXH9wRoc18LOB5+5KAxVWme38oQNk5uPuOABndKt6j1o+y0xVfTY+wX0q1rdw1STS69y48+N3zJJ6VSGjFiE5OhLFb24SXvngu1Io7Mppw5aas4Wwsz9WBzGxqI+ybNrKNumrb4078OVft/KqQbc8nsu5NLf/2HwhgizvCfC6ngBaAdXzY+m8iDO34sD32TADfKr3IaHlupyft97O+Z4tefDtzuSq9Ghn4JNlCKxVL+21vbWvnpOT9Nzk+dxDAy4zqaj++ff4KrJf5+cUDSpT9L7wGx3viM7uywVrO5KfWrcOAk3NczGWf+RKKJdaElI3HNRajDY2JoGlwmaUKY6wJyZ2lk024HiwZLRthqTp9xo2mWOaEKP5yf8pfMH+Dd80MgNfqIX9h8kX+1mKDRZxSOUc6P+bB4xOKIKXjK4LymNvzI65fn6Pjdf7KPcW+6RO1XoHOwyIdcbrssVZMmSiDCeR2Y8DUJSGe++EaqHNyOtAabTRlY1Hec9nNuJSfSFoSiuOgB3huViecmC77bQIRQOgbrtYT5jrlzeSTjc9oIArOTddX5gLgcQ4a5dBKzNztE0gtNpqykRZ9Y2Xms7aWUGtCY6ispXKeQMvo8fOuhdrRVayCRS7gaKOfYK0IdtZ6MafzgmVpnwKujqe1aLEtAY9V+ikx0QpIL1TEll2gWno1CmThq1pAcRoq+p1YzN/Lpk058tRO/DR9GzLg2wsrpeWc89qBsigNnThkllUsSsuVtY5caGjFeFHRODFOT+OQw2mG1op+EnIwyQFPHMjsp/WORVEDsNGP6SchFsjLhlEvRhvNZj/hl29vPQU6vfc8OJ7TiQPiQHMwzXF4dPs33IkD7hzMWkAKX9gZcHWjS1Y23D+WOMyvv7jzkWrvDw5nHM8Lrm50z+YuA6PptAlGbz+esNFPPpZJNFp9LDj9SVRgNC/sDvnG+0eczAtG3bidY3WcLkqMUdzeGXzi2dGL+uR1ATx/EUspAZ6dHuzdF8ZIKRG4XLr2YYukOPnZComeLe9lzvLeu23iDgKCVkDwxS8+rcBPW0uik6NWzd0KS5o2wzsKxVNzOYfv/M659VAQCoB8+XWZJYw78vz5WMB2dyAMG7Sem62B/eRUUEGcypqu2uwvvS7g8u3vCvAbbECvK/t++IGghvFxm++nhG0OItnmaLM1ds9FWJS37f2qnWksM2EDV56bq5jOfCksZtpt5x9pLZoWLfMYCk2ktYDblbdlngnwNIG0vM/YSCXq94+U935M613pNsO95cPKXPZ7eiiMbWOffu7Ke9TZlvmNBdks57INb2G4Ka/31/+YvG+zBTy6LxcSVSFrOBnLY4MItnZkhjdfCPub9slPTyFfioq+t44PQ3RVYvMlB9EattNnoxzz4vIR1UIxHa7RSwI4PiBc5NytH/M/7X+L/zK4C8C6i/mnp6/xDy4vE3kAS1AXGOfYrgv+RPMtKhOImXcQMe1tYoIAv/+IV08zCrPNXv8ycSCm1w3wwfA60eQOW8UJeZDQYFjTNd5Z3o23uEO/vSYSS/24I55GjbW8WB3yarFHEhsmPmaR19wqj7hpTzk0fQ6CNbQ/B3O1CpjoDtfqU+5Gm2T6mS7ADynrzic0oL2OUZrAeKrGo707M1Xwbau9bsHmqgINUTsT7bx7Csjqj3mLrWY588axP8nJKovH01jH6bygcf65bOnT22hnYZ9zn1YyDuBQuDa6s7G+VY7LDGsnCQmNplbQjQOM0SzymrK2cr0lG2k9O6HxArirxlJUlqsbXV6+NOS798d0o+CM1RsvK5kTTQK6cUBjHbWWtKr7J0vmRXX2Gnpk3rW2TlTxQFZbdkcpO4OUFy8Nsc6z1kvoPuNvaZ2nbBxRoImTkF4SMltWDLsRCsltn+U1vSTg0nqXjbY13okDkrDLw9MlD08WvHx59KH1K6qGx6dLRt3ouYBtox9zPCuYLMtPpUL/Sde1jS7Oed55PGV/krGa5Rh1Yl69MmJ37dN1BS7qk9UF8PxFLa2lPbx9WVrJ0Hocfgav5vYfwpvflGMerp2Lex5+IMxmtjxnO0FmLFfzjENhes6AFMBgB1wlavFbL7e+pAhw2bt/bsgehLI/3HlyE8j9USRAxlv5mc3PgVYUC/BbGfJHcWvrVMKkEjDaH5639asCUDJPW1cwaM9lBayq6jyRZ+Vb09RyX5wII123aUVlAZfW5VjGJ9Lz3L0u983nck7OyvEO1oUhnc9kvXojAYcoYUzP2FDdioCcAGSFMIorT1DFOaO5qjCAIJb7yvwc7Ponn6ueIFZX6KKdK+32WrP+AK6/KM+ftF6tb31LzuHFL8KXfk3eH3v3WzeCBHzZ0mFKLlS6PZn/3X9EFUZUtaVrG2zSxYUh2jsaFEWQUnX6DI2jF2qqyzeZ5p5qOmFcNByZmH83+Wv8R91vYZUn8Jp/aPki//jsFbadxgK18oTeEjhLQoNF0Wlyul4RGoO3GYt0yONaU+k+06bkdrlH3V+j6a2xKASwTHyP3+veZqc45bqd0okUh3rIB/GQB6qP9cIMr1Ztnksazo7PeKk4YKljsrRPWVtKFzBtNHF2xLrNeOQqShO3Xpmy+ksdc6WZMHDFJwKez7KHZ6+mdcRRQOOas+mUVat7BSafxJOe1QynRiuFwpO6kp1mTseVNBhOgh4npot/4jPKP7GNxnqmWcnKZ15hWYmmP24yeWpSGqUJfUOtnv7K8x56ruSDePNsf2LF5NAooiAgNIbaObKyphuH3Njq04kMbz+e4pzFebFnyip7lu0go5gCaTcHCbtrXd7Zm7PWi7nVGzBdluxPMj44mBOFmrpx7Iw6JJHh7uEcrTTRma2UZ5rVrRenpFnFgaFqLMfTgi9eX+fSWgfrPONlyTyvWO+dgzzTCpJmecUgjbi53efOwZzjWSHpSFnFIq/YGSXc2urTeYIt1VrRSwJRe7fzlk9W1Tiqxj1ls/RkRYHM9Zb1J+mm/PRKKcXN7b5YNc0L6haQb7bCpov62dQF8PxFr9VM3We1mlra5cuFgI29B/It0h3KfOTkSOYbv/BVabM2NZweyM/1LQF+thExjQnP/UfLTMBj9MRVdpQI43m0d96ytS3QU0oAYp4JuJtNz1XrK/sha+Ux21fFqP7kUIDQ+Og8Y/70SLa1tiHt+CgW+6emltv3HwojaEIBWfNpKxRq1d9N3c5Ecq4UX0yFIc3mAlJNKAb2rhEB1HwiQrEwgbqNv1xZDC0mrTpjJCMLx4etlZaT/Tf2XDSFa+2kWjZRKwGeRSvuSbvCCGcLAdadvqz9+KhNf2oN7puqdSR4ErEIs4Bu3cgnY1lfY1rmuuGs/X74WF6H8bG03cNYtpt2BOQmsbC8HlmbkyMB8ddvscgtjxly8963CKqSAIczEYUzBL5hOz8lrAtIQlTapXvtKnuPDvkPj/8T/n37/2YeiK/hH2tu8/eXfwd/cjZm4DLxylQB1jsialJEzNO06T2hc2RRTOwt69mYg+kJZTxkoiMuN0u2yimH/XX6aUgQaKbLgqVJeDy4wml4g41+wN6sYtECzNWsofPnoM4A29WEwNbMwi4mr2kaS2PBOFgQkbiaQZ1xoKJzc/LzV+DHqifBXeNB1c0Zia3903Oabff5bL+2BaehEfX51eqUL5R79FyBxaCVw1aaB+E630sufwggrrbzJH5ZXQ/9sHM7MV32ggHX6gl7weAsbUl5z5adM9MpB+HwbJtJKAIhsWlqaKxESA6SiBcvDdldS2ms58q6WPw8OF4SGEhCYRejUJ2Z+jvn25+O7UFM3YgR+/WtPtc2+0SB4XBSMFgLee3qiHf35oCYxi+KilBrtBG7o9paamfReIrGynvEKD44nEsCTygt+cZK4tXeOON4llPUlkVRczDJ6SUho27MF64aThcl02XJLCvZGKR89db2cwFkaAxV47DOo58R5YSBJjSasnbPBW5141oP1h/BQuFnWHFouLJ+kfP+86oL4HlRP9+anEiLPV8K4IpTwAs4m57C+o4wY8cHAoTKUlrfnZ6AvtH6h7d5ciA/n5fnHoTIN2WbWJQtz705F1P5JqtlJozuQH72hpK7HrSJQuNDGVc4PoA3v9GCoVaZnaQC+FofSTG0z8/B3+REzsHnAtCcFxC1Mk63zfnoQxidJ/cYI7+bFkxOTqVFPTmV421syzwqOYYgFBZwtN7aSk1k30a3JvLIOriyFf607e/Rau4UEfAoLetSW9jchLQvTDTIfq0TsIyS0YWyNdy3ng8HIIry3TgrIFXHcpzzsTCzay2TG8YCJI/2hdVdzezWtRjkx63Pab5s99XI6/DS6+hZRlIusZ0eup1pDYoFg6rGmYAmjKh1SOoc6ek+fzV7k3/x6N/jHkcAvOw2+BfnX+XL/jbvhpvkJqPrCox3GOWIvAU0YrcvrGRCjQIWDpbpiKgpGc0OmW8PMNpQEjJwOYdwxvYFWhOFno1eTBpHLMuKqnaERlG11OGTYhmjQWnFVl0y9+YMnK6cg0oVsNARfVvSoX5qZlIBQ1ew0AlT/enbnc+Cu7OobP984BcoAahw3oZvGs+6nfHl8iENmofB2lmnIXY1t6ojGhTfTa89ta1nGc1nppQ/tpzSfC+5CsCleoZuLxoMjonu8L30CjMjF+dKnYuiAiURl8uyZtCJeWF3wKAT8ehkyemiZNSNuLrRo6gbvBOfSGvFqcC51iJJCfj67t0TwsDg8Ly3NyWJDL00JAw0SWy4udWX+51jsx8zWVZY1waOOeglActKFNll4zDGkESGcAVIG8eiaLDW8TfffMSytDw4XuK8Y60b00tDpsuS33/vkJcvj1jvJ2z0kzMVd9U4+h8hqinqhkEaPXdGM40Cdtc6vLc3pZcEH/LiPF2UrPeTD0VeXtQf7LoAnhf1863TY2EO17efZmZX0ZLTUwF0X/yVNv4ja7+onBiFr6Svq3L2/LaVqOrZMkasm26+JDZHq9SklfJ7ZSS/SvnBCyAerMnzw1jA1u5VYU9XYqJOT0BZXYra+/6752r86amwnaploOvW/ijQrYXQysfUS2583JFv1yCESzeFwVRKEp02tqX1vJqHPVPjO9lOVQsDuZzLtvvr5z3LqpBjcE6Ad6cr++mvy7dclMiMbF3L+TStOt0XMJ2JMb5r9xNG4ApZq363bcUrKDOsMjjvWsAgMgbVWiFZrTCmFYFZC3kubGpZnNtNrQRYKxDcGwoDqloGuK5bQ/0WRNcN3H+ftKqJG8Ni4wp95wmXE0xVoKxF4QjKDK01b/Q8/8zy/8Jfm78PwNB3+B+Ffwf/zfqLXK8+IFMlO3qKDUPmLmFgC2ldK6gIZO7QRCi8qKiV4lB3UTag1xSwnLOYL9vxV0vmdKvgFt/O2goTVDWO9Z5mb1yT1/ZMuf4sU+k8+MaztIq+d4SBpmoV3XINoTkMBlyrxwTOPgXUuqphTRV8N7hEoaMzJ62fZq3ebpE5ZylXdq43mjGxtxytrJ3aKnXIKV2uNhM+sJvMTfrU9p7d/iepTEf8XnqTrWjBWrNE41nohIOgT6nPAZdCwFRtnaQohSFhIIKj00XB/niJ9eIn2U8j9sZL5lnDre0+o17M/jinaiyRkTz5oqwZLwoWZZev3txkcxAzCWS2c5hG/PqLO4yzkg8O5jw+zZgXNXFgSGODMTF52XC6rOiEhvVuTGQ0xmi6sSEKDP00Ensn1YrQQsVvv3NEaBSX17tEgSErxRPz5vaAvcmSx+MM5yUzfWOQ8OWbG7y3N2O8KD9kfVQ3jrKy3Lje/0jRze2dAcezgkfjJRu9hKTNpD9dlBitePny6Cnj+Yu6qAvgeVE/35pPBDA9z7qp0xOz96oSkLeyRqprYUnTjrChT85nZsvzlvsKKD5bdSWK8t2rwtiVhbT6w1COpciFRVsuZR/TCbz/Jnzl11vluJFjyhbid7qaP3VWAOnje2AiYSZN6zPZ6co2jQG8/OyP5PFR3MZEKrh05XzW0WhJVgIBksNNGT+YjWUNPDKr2tTt4wMByE0l3/KP78s4wvUXBFQu5wK4QY496cixvPwl+OIvSwTpvXdlLWdTMcMPIwGotZbnuDZ2s67kX76A0RZcvgaPH0BZYJHWorTXJeVl1ZN1eLwJIe1gVqMLTQWk50b5VSn7OjmUc/NeXq/eQM5zfCLrGcbyfOvk/rIgxBN2+xTzOaouMZXMtDZBhEMx90v+YvIm/4Z6T/z8vObva77C36f+BDv9HYLYsSw2qbKMxnkKHWNUQaFCQmU51h00ntA3THVC4hsCLMbDerOkaEqUtxQ4JssapxShcjz0XY7mOYGWtqTR4ju53k/odSKsc2fZ40/ONcI58ATYCwZcrU6pypra6zPm0yPZ7PvBEKcN15sxJYYAGTi8m2xzN9p5SnS0ggI/KnP4cfW8GcuVCEm1IxdRAF3luaJzsriDth/ed6Yi1m3GyOVPAc+fRDmlOQgGHASDj3yM98Lw+XZOdb2fcHO7z/44p7ae9X7KWi8mDBTjecXeOOd4XjDNSnbXOuyMYo5mBcfTktJamVoxiryuef9gytE8Ig4NCnhwvOSlS0O+fGODy2td7h/OmSxL4tDwxevrJKHhZF7w3XsnlLUjMJpeEtJPQx6fLnFG1P5Z1XA8L/FOTPfzqiEOA9IoEAP9UDNblhzNcl6+PDozZl/rJfRTyWoPtObbd4/ZG2cMOxGBUSyLhnlRc32rx+WPyUUfdiJ+9cUt3n485XCScbIoCbVio5/w0u7wQrBzUR+qC+B5UT/fslZ8GZczAYpPXlV7LwCr13vaj/PKTZmlbGqYNwJEwtY/syzg6o3zxKH4mS+v2UTa4pu7wrKZUMDLcnE+r5i2Lea1LWEns7kY8u8/FKFPmYsP6snh+XF5L4BzMUNmFdv0oKY6n2E0gajeV33H1Txq08jvtjkXPFnxZyRsDeE3toU5PT0SIVbRRm9WZduPo7VWys+ZT2sFpI5PxHgf1ban23nL2VgA59/yJ8XCKk7hy78qx1s3MEPA5WzSspyB7EuH51GbUSrgdnNX9j0b40ihLNDO4dtzVS3E0NpQmhClA8zqnFU7S2tb4D4ft/Ob7ZCiNjA9FpfxTrcdF4jlGOpabks7UBXoOGF48wbl40MW2QxMhlOeXMG/E73Dv9R7k7EWsd2fLnb5F7JfZlPvUgVLosk+dRQz373B42lJf3bINIjZbGpmYZ/aeSYmpW8LrlcnDG1OiGNBRKU1qatJfYlWnsdmncTAhl1wkm6Q9dbY6aekUcAir5nkJZ0o5PZOn+/eO6WoLGFd0vWWWhmW+unWpEIw92M3YM8MuFRN2DcDai3JS4mt2LILvp1c5X66xYZd0nUVuQo4iQYUnRHaekzjJN/dP53H/uMQoArOGLcnY7fFUtaf5SSs9ICyf41pe/FPgc+fs/jRwZnBvVEwzyvuHc6pGse1zS4bvZjaee4eLqkbx1ovxiMt5cNJzt7pksBokkgziiIWeU0aGWZZzWQ+YXuYcnt3gEJxNFvwN9/a4+pmj+1hyvYwJYkNbz6ctOBPi0JdKT44nKGAK+tderEY0YdGczwvCI0iMlA48fesLZR1xf3jBb0kJCslmrRucvppSBgYtFIMO+efqdc2e4SB5u7hnON5jnPC/H7lxjq3dgY/VHgz6sZ8/cUtZq3aPzCKYSe+MGO/qOfWBfC8qJ9vxQmsb0rbeHragkEjgKfIBFTsPD3vxdqmAKb3fwDBY3nuciFJQV/+uoDDe+8JexcEAoqSjrBzaDEsf+8NAWEmEKB37aZsezAUJnL/Qesh086DJpGAvjiVdvTuNdlv0baJFzMR7qy3YPXkUM5hNaQ1GcuxdHoCtlaxpJ0WVJ8cyONPD0TMEycyfpDnMD6Vxz+6L0DVhBA2ULkWsLpz9KDceW67rWXfi6kA4JUR/0rEs7kNf/zvlPP+4B0ZEThtc+OzpTCMcSrMZ5TISEGeCVDfvSqjAUf7wlof78t86OaM+vgYbT2qzlHOPgFqFDaIyDtDfL9PuJyeR6E2tbz+K+AcpwLWq1perxbUMhu3wiIv86RGy++LmTzHO1LluDSMOT3uUCxD/mp8yD+f/i7vmDEAr9o1/sL8y/yJbI0mjCmTAKM1Kp9Rmg3Gg13KxDFv4LvRZYadgltujM4WdOqMQHkCIHUVY53yKFrDKNhs5vSocCpgx2cs/Zx7vV3eSq9QKbHh+aUbG+xNct58dMruMOW9/RmTgyNeK47YbaaE3lG3zNydaItJa/ruAIOi0gHfTq9hC81WMyds1TW1Dng/2uSN+DKNCTmNhoAnjUT93A0MyllQAqiebLX/uF133/4nCTQV7iz9R5haf5ZpoIG51YxVzLCesXiOQXjsaiplWKqf/0ygiKEMk6wirxqqxvIoyljkNda51ncyYL13nhA0XpQoPGujhGVRY70nryy2VYmdLEq644wXLw0xOuXB8YI7+zO+cFW6My/sDplkFY9PM7pxQBwaokDTNDJrGhjNgRdbqWGq6SfCTm6PZFuBViyrhsZpHp0sSWPDqBuj27z2d/emrPeTs/nhJ2t31GFnmLIsG8m2j8wnUnqrZ8DsT6tWzhCh0fTT8ENzpRf12a8L4HlRP9/a2hUl+/UXBNjNJsLihQFsXRZQsnvlw8/b2BGgMzlpWb9AWsIfvC2+ms4KgBwfCqja3IZbrwrYPHh4bhjvvYCp6THyrRzI9jp9AWyLqTCnmzvChnb78Ct/RBjI5Q1hH5uBACKcgMjhuoCzTpsaVOTSjpe+m4DEIjsXHBmZGTzz8WxqmfGcnZ7PmzZ1Kw4yMtto2nnMujVmXykRtDnPM6+KcyZVqTY6sxZAuXv1XHz0/d+HB+/LuSUdOf+6OBciBUbOI5u3s5ftOX3l63IMs7EA8fVtODmk7NQUnXWS5SlBWVIbQ+AcBg9xjAsiVF2dp2qVhQDLlXdrnMr5LRdyfsZIqtXjezITvJyfp0MlfXnf0K5fU8HuNYq84r1yjz8//C/4K/oeAOs+5p9uvs5/Z3mL0Ht8kKN6Pdi5htKGWeVxRUGzXOCtQScJs+4GH7iIu/UW22bKhlugmprv1zm/Nn+XCM+OX+K9olQB46jPQSyCt8fhGt/t3yaOAjpAVtQcznOst1S15Tv3j4myJb+c32VkM05Nl6kOiL3lZnXCRrPk9zs3GBtR37o2bScPYn6vc4tRs6TrhL2dmpSJllGFNJSZWutAa02gPXklAhj8TxZ0Prmd2j/t3ememRlwQGE97zLia25CUFVUT1g7ae/YsnMehOuMP2XK0vNq5eH5Sc811IpJVmGUbEO3IpyybmgcPD7NmGS1WCf5cz/P0jqs9RijicMA5xzdMGiN9D3H80JGLJKQKDStR+YQozVxaLi1NXgqL90oMVfPypCqseSVZZaVeO/ppyGb/UTU7yia9izrWmyCFG22PIq0BZLTpaRoPa+UUvSS54w9fQZqllW8uz9lf5xRNZbAaLYGKS/uDj82lvOiPnt1ATwv6udbm7sCCk8OBbzsXG3z4qfy7/L1D+exr8oYAYCreud7cP+O3Ba1jMmNFwUYHT4SW6a9BwLMovhcwRHGwkieHAgQjOPW0sids5KdnjCZr3xZBD4gZvynR7LNyal805aFgNvuAK69IED0wfsCmspWiJPnwtaF4dPK9OGGJBVFsTCs86kcx8a2pChNx63yv42RjNv4zaZprZf0+f9738ZXpgIIAS5dlXM/PpDW+qVrwmzeF4ENw9YhYMXyRrEcQ5bJ7/1QgGHZzmAePJZxhJXfaJlDGOFMyDJvKJI1/CAhakrSbAJVTu01pUlId7Zg95KkEx3sYU/2sWECdY2va3Rdom2F6XRl3YdrrTmiE7/SqpR/vh0B6HTk3GcTTr73N/mzfId/y3yTRnkCr/iHi5f5x93X2QxSTOxwrXeqjxKavox49AEzPaEOLTZbcthfR3cGhMuavSrlYZjSiQyDTsTVxR7fwdMo2HIF1lpOdMo87rNQEd0mw9QiIrHOk8YBznvefjylaixlYylKxyvVISObP6XuzpQhUyFXmgkvlYf8bnoTpRSB0QJeHNg2reiYDwvobGtkHhlFWTvqxknWtzrXbf00qmlaBy6ePze6IuUfBiP68Q4vVYeM7JJcRwTeEfuGg2DIG8nlp7w8f9RSyLWSc0/v/9PMsJp2fsA5RxDoNhbUUzUC7ZJQU1nHPCvRxhBq6CWhuBI0Mmu51o1orGNRCRuaVxbnHXUT8MHhnO1hytX1TgtmHUZ7vn//hAcnS2rrUAoOpzn744yNQcKrV9bopwEKxePxku/ePeFgWrAzSFFK0U1CHhwviANDUVmCQEuUqPOtrZMWp7duzHhR4L3/3LCFs6zi99vEofVezKgbUTWOR6dLxsuSX7n98bGcF/XZqgvgeVE/34pi8eh85/vi33j4SMQ8IIrs5Ry+/VtiJv5s4tKTlS9lBnMwOgedIGDozlsCruYTAYcmEKbv+ovSyj89Fm9L78C3s5XOnVsbfeGr4ss5Phag9/ie/FzbhNe+KvOFBw9F4d4bigBoFakJop53To6lLMQLc/sKHDyQbZa5gN/lXGYWw1ja7b1hmz/fkbZzpyeAMwyF2Wtqub/OzjPmjRZhU5nL70kq5xZGAhjHxwKwvYN334SDR3LcSdqa17f7A3nMaiSgbd9722C1wnYGqKIkdA51+boA6r37NNbSOMewmBDi8YXGKbFQ8kHIfrzO9OZX2fnKbUCAev3oHnk6pPaKuKqhsSjbEHqPS3uEeSYAf7kQO6cwEQFWWZzbQNU1ja34N+I7/HPuO5zoChT8qXKXP5/9MrdZZxF1sFlORCMt//4Oi3RIZz6miVMyp9GLjNnpIw7SXd4LNkhnJ7yYwLSpuVcHHFcJJ9azUVusVjwKRuy12ZbWujZ/HEIFpfVkVUNWWQ6mBVrL3FwnCihqS+JKdpqZZKg/CwCU4sT02LZzhq5gHqSkkWFRiNoa99GAqmoEZDYODJIj7hHDBPVTAp0rUPm8Fu6zj/FK8VZ8iaOgz+V6wtDmVCZgLxiyHwyeUpl/kvLIOWsl59ku04eOQT0zarACyitWUymIQ2lva60IA4N3nrJ2eO9pHFjnqKwkFGnbUIG01L3HOzie5a1/J2RVI44G7eROYy370wzrHLvDVMC6gjcenPL+gQDSvGq4Oy04mZdMsoraORrr2Rwk3N4ZcGNrQF5ZfvfdQx6cLhmmER7PoBNhnaWxIQ5huifLEuc9o27M5fUuW4OERSHOCo31HM9yqkacErYG6UdGY/48SyI9C648EcuZRpor6xLL+c7ehM1BchF3+Tmpz9477KL+4NR8IjOCk9OVBFZA4e1XBNSlHQFUkxN469sCnkYbH7GtqQC3navntzkrbeTH94QdnM8gTQT4LaZiXP/Ca8IMhrG0mrtDGK2dK+OrQlres9NzhfXqw60/EGHU5FjmSyepAL8il/NaxUJ6L4B453Vh+MYncu5JKgA4W8r5euS4vJN51E5ftttU59ZDVSsqOlNsrGIp25Y67WwnvrVkUrI2cQp3fiAAPUpawc6J7G8+kXOfTaRFX2YCgI8Pz1OXmorm6IBSByJ+meUEs/t0bIn6jb+N3i/9GrzXp/zm7+LUhNQovLXouibwUAWRpPwoR6EcuqrANTTasHABy3RAlMTowwrlaryOqJzBVRZdTzFFLhcJ/ZGA6vkMXCZMcGP5q/Ej/onkv+QNJXOcLzdD/nz2Nf50sYbThioUb9USsE1F1d+ke+s2ebzG0cOHuL0JTVGQ2IL3hy+w2L7O7dOHJMspSaB5OTRcLxz3fJ93+1fJoi7KSFs89/oMyFjvCY2iY0veD3eprG/za+StnFcNjRXQMnQNkbdM9fPbyqUKWLeWyDetl6ciiQLKqgH4WFsk56G2ntrap1rMPy0XpR9lu0+CQK8UR0H/Q5ZKP6mD+ajWuudpxlfTfuzQ2uVqRWg0gdHUjcejUErhlQcvzCV4yuZ8I64Vaj2JusvGcTjJiCNzlm+vlSI0AmSt84RG83C85OUrI4ra8uh0yWY/wXvPBwdz6sYSBYqtgcyQGg2LvOKDgzmvXh3x8uURj06XdOOA27sDojbT/a1HExbFhMZ6klD8QneHHW7tDhh1Ysl79567h3PuHMxY5DWtJS29JOTlS0Nu7ww+M2xoVjbsjbOzWdVna70nsZzjxWcjlvOifnhdAM+L+tmXc3DnbXj/DenPdboC1u68LbOQw3UR7IAApPVtYRT3HnwYeDa1MKU/+K6IiaZjESuNNgTQHjxuVeK+jX00MuvYGwogO3ost3f7Mk84Wm/7kW272ithS3t9YUi3Lsk2nJVtf+/3ZV7y1quSInT0SI759AjwrRL9WBjLw0fCWl7pwTtTMX0PIljvtICqEMCpW7X75FhmLldZ9PunwsB2uqI811qYSNt6eEat4bxzwor2+lBW8hjvZJubO3LuizZGc34iwDeMBdTOJu0aBTLT2YgFVKMMVVlhqjmBVqT5DKc0jTIsv/E76OWMzs0X8EVGks3QUYgjpkbROAibktRbmk5CgsXmS0qleWf9ZSY7jqvlMXExwxuND2LqpI+pckqvSbzF5Es5995AjstZiBLe6Tr+SfXb/CV9H4B1F/HnFq/wd9dfZD64xMEwYjg7IC4zVDbhaP0aKpvj4h6dyzfJJxUP0l2mRcK6HzMNr/C7nZv8ysF91iiZ9Dc4rDydQOODghfyY8wSvpVe40o4YDc75pEZUDpN15dErmFU5EyClIfBCOch8JbdZkGfCqsM07BL7mNqJesa+YZcPScxxlsapamUIQg0eWUZdkKsddQrhvtj6qcFMj/r9aO01lfwRQRECoU6M3wHYTRXYwN144gMVEA/DVkUNdUPWV3vIa9dC3SlpR2HhkEaEhh9xv66dgRisqwoK8vWIOXRyYKsrNnsJ8zySj6GvOfe0ZxOHFEdLXDe8eKlITvDlNp6OlFwJrS5vtnlg8MpysLWMGWjn7AxSOlGAUYr5nnFqBvzxoMxSWS43LKIzntmWcV37p0SGs31rZ/CRcGnqKqxVI2jmzwfrsShkZz75kd55S/qs1AXwPOifrZ1tAdvfw/e+CbgRUVujKisk1RYu0d34YUvPJ0N3h3IbGJdPeHnWYmQ6NG91l8yFnC1XAjoXPlxRqkArTB6wsSw3efkRLZtrfx++UYbg3ksAqA4FhC3eUk8O1elW7V6UwlgU1rmUaNQgGZdClDu9FsxUEciK4tMBEQ6OGdHVy14RZteJO1m6oUA2a3LQAsok1ZVH8fnJvtpKuxwf03U5WUhdkjzmaxJb9DaPGlJCFqZyzsr35DLObbI8WkXv7VLWBWt5+cQ8iU+iqkdrSelfAkWylAHMd6ETHWCvn+PdHFKODvB5HN8JFYqgTZ4ZcTE0SqMbSjWtnjv+le5d1rw1sGSoHcLXWRUzYJo8wWGlATFEuU8STHHhuZcVAUwnTLJx/wL/Xf5P+r3zuY4/8fli/xzy5fp1QFV0LBoava725xu9OllE/rlgr31m9wfxvxSt2ax95jppKFb1cTk2M0dDoe3uHx8TLyccq+7wUYcEbuKrLR4FVBGA7byE7p6xO+qXb6oG14ojthtZnRdhcGSqYhMX6LvCoy3fKl4zKZbCkntPZkKuR+u8Va0y6HpcbWekD8nP33dLjkM+2RBynYvZlbUTLIKe2bMf1EfV0/Osz67XkmoqBvJstdaEShp3TqHJAB5YSR167eqtCHQ7fzsxwzJ6id2Jqp+RxwYYR5b0U7ZWHpJSBIFbI9SqsbhvMO3oHeaVW3GuScOJbt9XtQ01tGJJZXqW3eOmSxLtgcpr10dMc8rHpwsGM8L7h4tsNbTi0O2hylGaR6dLJjnJWvdmG4cUreWR2vdmMY6CmvRSjw5a1tw52DGlY3uZ8L4PQy0BCY0z4/lrBqL0fozF8t5UR9dF8Dzon52tfcA3vqWzBVqJcKUqpRWeBAiQHRNxEDz6dPs5spiybmnt/fwA2EVw0jA4+EjAbOLmcyKKiVtY5y0u8uiVc23CUWrPlg+F9axNxD2c7QhwPL0WI5n+5n5Uu/l9v6agN18Kc/buSrHU+TSVt9u/T5NIK3u5VxA5f59Ab1N2xbXYTsAVj3Rzm+B6ewUUNKOD4y0xrU+txVSStZnZfAeBLJWjT8fYWhqAdTLeZulHkJvSIOmygr0ySF2uSQvHWE3pROlhIM1yJbYqsTP5iijKcIU7yy5TtDe45qGqqw50iGD40OC5YxaKayHoFXUa1fhwoiq04e6oLuY8MZJRT+N2RxYxmqHRp2SzB4xL0pUr0u/F4oVkweXxKRRgKsb6sf3+LfU9/lzm9/kWFcA/Olyh/9d8VVedQPwDXlgwDrCpmS5zDl2GuMSdpqct5aGh5df5NL1Dt979w5NeYwyHQ4Gu/iNHQqTcK15jypMWJYWNS8kt9sJSCm9YagcoybjMOzxdrTN5WrKUkfsBUPmJmGuI3qu4g8t35el1wH7pn+WEd5xJa+UB+Dh/WibNZtzqZ5warqUOiRxFVfrCU4p5jol1Z7AaAZxwOmyom4uQOcPq0CBVprKy+fFs+tlvRJQaR1pKKEOWSkznKFRhChMCxidda0iHYraisvac7Z5NlPqBYCmoQKlSaOQNDJ0kxDnYSsO2Bp1qJqGThygtaKXRARKUTWWrGw4muUcA/uTjMNpjseThgEahXWOorHcOZijUPyZP7RO4zy//fYBb94fY53nynqXRVHz8HhBP42IQs2D4yVJGPCVm5u89XBMLwl5eLLgeFZQNSJmGnZiNvoxk6ximlWs937+retuHLI7Snn/YEY3fk4s51wSl0bdn78F10X9aHUBPC/qZ1NlIcBLtwk7aRuxmAYCiA73WjlqCyzz7GngmS2lDb5iO5tGAGvSOb9t54oArumJtJ+zpYCxtCMgVynYfyTPLXJpa/dG0oquCwGNne75Pj3Sel6p2p8tT5titFKVtxWE0AvFo7KuxYdzfCTnFLbm60Uu9yvTCnvaaMq00wp6rLCag3VZszKX/9/alvM4OpBZVa2F3V15kq7iQlc572UuQN/o1vvSy/lubNMozem8QBUNA2sxCnrzI9zUU2uF37pEdPNl3IMPYDbDORFWBEaTuIoq6VJFHXquYL9KaPIFcVXg0oTSB3jXoI3GxRF17aiWS7wJOZ6XWOvoJyGLJGRyOqUOEpqkh3aeoiiJ1/pkW1c5KTzXgpzs3tv8tcX3+V90v8tb4SkAX7AD/pX5a/wpe6WdgW3wRoODTIcorRlQ48IOvbqgjjp4HON5wX/8g4p5McCkA5IoJCtqhgWs9yDRnpkXsFlUDVqL0KR2Iiap24sVpeFmPcYox7eTazIL2L4FCh3zev6ILb/gbyQv4tQ5U5PpGFDcaE65F23wjfQ6L1aHbDdzRvUpG3YBwDjo8iV3yLX5lHv+EpP+DnEgyvbmh3faPxf102JuGy/2TB95fyMzk1pBXjZEocZ5EdsopRl1I37p5iYv7vQ5XpT8zrv7zLPmvGHSztd+1PysQ6yJVr6pRkO/EzHsRAySEK01p0uLQqItN/oJm8OUtx9NOF2UTJYlnThgklXt/vTZ3KrD0zRil9Q4x8m8YLysOJzmdOKAa5u9MweEo7mIDK+u91AbMirQT0PKxnF6NOdkUZLGAZ04wDrH8SxnsiwYduKnrvF/3nV7Z8DJvDyL5YxDQ91ILGcUaF66NLwwq/8c1QXwvKifTY2PhcXcviwzmU+WNq245URiJn07jzk5kZ+ukdbxpeutpQ4ieikySJ8AhGEkc5iLNlayqeUTP04EeDorM4+zUyidqKOv3xbwWYgVEPOZtHTrSljTrR2ZlSxyOcZVKSW37z8UEB080yptajlWbcTGyTYi8KlLOa+6blOTnmjVK87Z2CgRb9Ov/JoIld74hiT6dDqtUn0ha6Bb8/W8NZbXBuJQthWnwuIupkgKUijflkMB8Iuswi7mDOslRAEuiFFtG9E2DerkCOcaVCXqcWNLAhRYKOMuZZjQhAlhmRG7krqWNmBYV3RCqBXYuqEpayqlifCUUcwHrsPx6ZLA1txYPmLrwTvopiCwJcY55qrDMu4zSdYh0fxm9Yh/Tf1l/vP+uwAMSPnH6l/jf7bYYdjUogwxASiHa2q8MtSdAXkDiSpYj2ICDHPT4ajWLIqGNA4Aj0Jj27idWVZjlCJLB3TmUyCibBxKyRyeB3AO62CpQqKm4lIzZRp0ngKdAMp7QizKefq+YsrTVi+Zjlivl6zbJXejTU5Nl2v1Kb+a3aUxAx6Ga6goxODp1hlfmN/jg0Dztlo7z2f/nJeiTTv6KZ3Mx+GmldhLAbbx5I1FA2GgziyR9sc5g05IYyEyAcZYNtOE02XJvGl+6GvQWIcxhqxuMEZR1pbjWcHpohR7IyOG68ui5nCac3u7zzffP6K2jiQMOJ4XlLU9M5EHhfeeQRwx6okdXF4J87ksG/ppxOmiJDDyGRkYze6ow/GsIGgV6/O8IjCaomp4NM64tNYhaD9TQ6NJwoD9SU7jCsLgswPkRt34PJZzmsl5as32MOHF3SE7o4tYzs9TXQDPi/rZVN0qs7WWlvf9OwKYskUr+dQyixm0dkVZJi3jlZL88o1zRQDI45UWMFmvwJsSBnS4LoAraoU4b34THt+VeUvbCNNY5K2B+qbYHUWxAMLxsQDSblcyzC9dF3HR3bdl2+aJGaPBuiQkDdcEDK7KOUn/WdsUgdByLsekdWvCDjIE1vbsqkoM81exkZESkdXmrmz/4fuiNNeBAN2ykMcNBgKop4GcK74FoVaOabAmTK0xAlLjRNbJWmxTUywzuvkUYxtslOKCkJW5TOCX+KbGH+0RaE3jPNYrQmVRThE4S1osCGxN4aAfOlRd4yMBt6FS6Cggtx6qmpGrQGmK4Rb51hUuzx+x+e67XCr2cCbkkA6H4YBeucCVJfH9d+j27vGv2t/k3yl+kwaLQfH3BL/BP6b+MAOnWbJPEEX0N9fFkH4xx3mP85p+vSSuanJb8ChM2ItH5MpwGo2II8P2MOXxOMN5TxoF1I2jcY55UXNP9bntoe8rcpNIoifgG8+mXTAxHQ7MgNg3GBwZ8Rlzdz5l5s8YKoN97p+EPF7gi1eKdbtEKcXdaBOUQjtP7aAyHTZdxu50jx90ergn9vJ5Lq3AGIV/NjbzZ1gr8Hgm9nGA8ZR1w3v7E5ZlxStXRqz3Yg6nObWt0UqJR+pHIGbV/kNpAg1V41jkNWFQEmhF2cj217oRbq3Ltz845nffPZSZ6EDzSzc3uHe85GRRSI660QSBMHxRGHB5oytG8FlJUVvmRUVtPf0kFOLf+TP2TyFOCKfzgmEaERpNJwpkhMV5FE+DS+vEhSE0hqy0DD9DeO7ZWM4o0Aw60YWF0uewLoDnRf1sajXD6Z38/3zcxk32WkC2EGGOp21tdwXodboCVEGU62EkgCxOBZy99W25b5Xgk/aEpTQBdHvwtT8Kl28KY/j2d6QlPdoUIdDapqjPv/cNWFsT0JvnAgRXLfe9+wLcekNhars9EeysknxeeFXa5XffbgVHyBzm5iW4cgMe3pVjPj06FxNZL639phawncQCoJ1HmMlI/i2m0iZPOzBqE5EmxwKcPcIg20aeEyfynLMY0HV5HshxgQBlBUzHuCwnzGYEtqFOe1T9dYIyI1xO8DrA6wBlazxOzMtDg6083imsCXGI6EIXGR2lsWkH7RoBwnUuoqTKouuGRMmsmwsipre+xE5+wtbkMZ3sVOYhRxts5xlVWbHQhmF5yl/y3+HPL77BkSoA+KPqJf7n0Z8m3f1DVLbmxDtO+ttsn94nSIfo5gQfdci6G9RFgdEG65fouEMv0tg05FG8S24GhIHBGM0gjZjnNcuyJjYa58X38AdlxNJs8YX6kA1fU6oE7yy6WbIwMW/El6l0AA4qAhJXUwXB0yhGaWplMDhqPiyIMN7hUWdq9tjV7DQzJkbSh5x/QgcHjFXCjp0xbBZkZvAT+IP8+Zf14Br/mWBv2788nPdUDeA91ovQxyMWSGGgGXZCjmYFzUf5WLEysldoDWFgGHVD4tAw6kas9WLGi4rAqLMIzTgUo/e9cUZRW+yVNa5v9SirhjuHM7LSEgf67N9KYFM1ljQKWOsmHM9yeklILxbV/ZPRlbqdUR4vS169MsIYzagbk1U142VJ1NpHNdZRWsvWMCUNDWX9/Aumj11HL7PQP622988qlvOifrp1ATwv6mdTaxsCKCenIrbp9lufzBKckna6j6QN/uIX4dbLLSP4BLtztAcPPhB7paYW4HX4WB7TG7RgbSbzlMN1+PrfKkzkC6+ee1uubwnzqbUwnGXRJu/EoEsR7pwcwLd/WxjRqzelFR+Eoh6fjc9nNW+8JHOh778h+1zM5bhG66JEL3KZEVXq3KAdBb4RxhKE9ukNBSTOJ2Lf1O3Kdk4OBTQqA3FrWL9iSFcJRddelFnWB+8LGO8N5DlpR/bvrPzbvQq//ifkeN74BnhYEkOWiMl4nGC9xeQBSnm8DtDKtYyIEmYuDLHOYJVB25rYWbwJCJVnWWaoIER7K+DfeVzVUOoIEyd4FDbtYjd3uH7nbfZ1zABFiWa4mBJWGZ2q4jvF2/yz6e/xppcYzBtqm//B6L/L3568zqX9dxjPDpmsXQbAr4ccLmboecUor8m768yCFMoJ6/WSOkqoeiM6ruZ+Z8QPois0RU2ixeS9m4REgeLu4ZyqccL2aGGJ3o12WQRdrlSnDMoc5zyPol324jVmpgPOU+mAh+GI18o9Zk7Srs6MyPEixnIR9gngqTV4K8zp2HQ4CmRUJMAR4siJPuTN6RxYtFjvOMdzcOzntn5c0GkUGCMzuABpLMxg9Sn69wphYPGrGU1Ylg2TRcGiqBh1QowxdOKASGuWtcVZK4byXo5FKUUcaLSCOApY68WsdSM8MEwjRt0Y72XW8s7BjEXZ8OqVIaA4nZccTXPeeHDKo9MloVFERkMk56g8mLbjUjSWRdHwxWvr3NruczwrUAoub3R5f3/GZFnSS8S6aZHXBIFmo59wc3sgdmix4dpGD+s8h7OCunEkUcC1YY+1bszRLBdw/CNWUTU8Os14cCJ/S5044PpGj0vrXULzi8HQX9RPri6A50V9uOYT8YmsCgFz61vStv1xWhpJR+Yvf+v/I23v0abcVlcCILcuS2TmvXfO287P7m8wErCYLaTl/P6bAhhnU5kNXbGF/aH83BGAQlmI5+b6loA8kG/z431BAt2BeICubQm7qbQA46aRNvn6tmzj/TcF0I7WZV+P7oqd00p8tGizxQ8fy1zmaEMsoJKObDOKBMDOJm2kJW2sZST7q0oBznUoj18lGuFlvUwgc5xxCsMUpqfSUn/lS/LYqhTmMwglDjPPZV3iFK7dghdfF0C6sU14913UOGN5711G2ZggX+K1puqvgTY0ZUmnqQiTEBqLMRrjtMxxximqqQirHJt2KHRInfTo9jZRRkQ+dPvY6ZSybAj6A1yYUI62iRYT0jRhERjU4ZJOU2Bizdt6zp93f4P/LLkDHtZ0yp/t/u28Yv4UrrNGEYcsuuv0lqdUYUKRDsgdnJoel7N7dJqSqFwwKiZkdc3Chxz3txj3LuGbhtNlzbipKRqLUg1aVcSRJisbkigkMI5lUaGQ6MFZXvOAPg/TPto5nFe4dtBTe0+gJSXng2iTdbvkSjNhqlNyHZI4y7rPmSQb3Im3WavmDGxBbiIi74mbgoVOeCO5fKZ0r1RATkjqa0rCp0Q3Dgh9Q6M0hfrF+ch+0kvzkzxn9bxObPDei/VRqOW10Qr7KTNBtQbvPEoracwYaUc/OF7QOOgnhqKqxfMz1AwCTV4pYg+Nk4s06z1xqBmkMRuDpI2rVMShWDMdzQq6UcAir8UuKZAxFkkPkvzxTmzQCpIowFMRaE3dWMraMdBwNM9ZFjVX17v8nV+7yXo/Zq0XczQt2BmlqN0Bj8dZ25JuqK3n9etrfO2FrTO28OpGjzfun3Jlo8v2MJXuhRKz/PGypJdEbP6IZuzLouabHxyzN84ElBvN6bxkf5xxY6vPV25uPNcG6aL+4NYvzqfYRf345Zyk+dx/T9iylVdlGAlwuf3a0zOOn6SshSoXQdC8nbH0TkDZ5ZvCSlalgLks+4jj8zI7+f1vwLd+W1rOV25J/GSeiU1Qlgm4jCJhVzs92WeZC2O4qjIXpjDtClu5irKcnMo5pl1pW1srx4S0i9FK9meMrNODO9Kir3IRQMVx6xEayLzo+Bi2dgVoVqWc73wqgHMVbj2btL6drbBoZZOULWX2dOvSubApiuU8J7lcIDy6K6/b9mV4eEcM9Nc2W3DrBCgnHdi9LmIogNd+GbYvM7jzPseTCfXsGNcJqUdbxNMjqsYTWEvkGkzTip6CkEiJcf48SGnSIS6IONi6zeWj90mu3yANvKxjkUGWEQSaZFFQqDXK9R2q0Q7KOUgStjoBPV+w1Dl/LnyDf9P+LrV2GK/4R81X+HPx38JwcI2/QZ+TsmLDFzRBSNAYlPd0sgnlsqQmoN68TDN9RN3p4YKISkUs8gaWS+zpMeNkSBjUpIHCBCFFZTltijZmEAZpRO2sxAr24jYZ6DziUBkDzqNaJswjS2sUFDrim+kNblbHXK0nbLgMrw2P4k3mm1e5XxnWF6dcrk7pu4LawZ14l0fhGlNzPhdcK8PDcI0vlY+Y6wT7JNPvPVvNgoNgwKl5wnXhc16r9vaneY4WrY3EUja+dVzwNM59ajW2c+3G2/Z/Y0Epxzyv6CQhi1KsjsCTRMLolU3DvKwZL8oWFCuG3YhLa10GacTeeEltLdvDhMY5amuZ5Y7JsqJpRESUl/bM1L1oLFXjUcqxGRmub3Z5eLJEG0McBnTjAK00r7044r/+KzfZXetgnWdrkPDOowlvPhrTjwPWegmBUWgiXrmyxq++uPWUJ+e1jR7744zHbVpSEomqfbosKSrLV25ukEQ/Gjx469GY/XHGlfXuWYt9gIwC3D2cM+xEvHx59OlelIv6hawL4HlR57V3H957s/WxfAKk5Ut4/20IYmmBf5q6965sY7QhYK7TA28lk9xZaS0HkQC6pv7w8xdTeP8tAWPOibF6EMLJvvhm9tq5t6EXVnS5EIAGrbpct8lF7Vvet/Om1spjw0i+aapS2uKq5ZzitLUuagHgct4ayydwekRjLXZyiI9TVK9PqDzaeWEbQVrki5nMey5mwoR63xrI80Qs6JHkkG9fFsa3P5LHLRbn86a2kd+XCzmGMJLHZUtpv3eHEBWyFmlXQGoUiUDqhVfP11Ip2LrEcHOX8tYXOf3P/iM6d9+ins+gqunmMxJlCeL2+WkPmgoThESuYbA5Igu7FL01rnUTRllAdPWqMOSP78scbF0RNJogCmA6JgojsisvoZoGNT5gNp/wH+i3+N8Hv8WxlbX6O8wt/reLL/Py6CVMnqGDgBvDDuH332TgKzq+wnlHHQ2ZxT2+09mhsx4RNe9T+Q3KkVhmaaDfs0ycZrNYkPiQg2CTQT+lrB3DjuJoljMrKpnFU4rGOdIoIFSKk6IWoEkbCtUKhRQCNp9MTVVAZSI+6F9ljx162tN4xYyIASFRCJPBJg+zId45LAqnnt96vBttsO6WXKknzHVCoUICbxm5nKlO+UG8g/+MCil+WrZIz6uVIn1Z2A/nsf8YB7Hy4FyV9aLzA4XRCo+ilwTM8orGOqxzXF7vMssqImMoq4ZpVrPWjdgeJtTW01hPGhuSSPPwpKCxnlleUtXixanbWVCjhRHtxgGdKGSaVUwzmdXsdyJ2hinbg4S8caSBYXuUklcCWN/fn3HnYMagGxGEmtNFwexozu5ahz/y2iVe2B1+SIDTT0N++fYmP3g45mBacNz61Q7SiFdvjbi5/aPNEU+zir1xxkY/+dBcZxSId+n94wU3t/sXrOdFndUF8LwoKWslASgMn7YNAgExdQV792TmceWb+aNWkQsz1+0LiJqcCCgyRuYtp+3c57UXhDFUSr5ZnrROuv++sHkvfEGeF7fgcDEV4HrphrCMSsnPxfTc4qg7EGHN9ERAKpwLeMpctp90BGT5FmI09RN57Rn0+8J4Sn4d1lqWx6fUy5IwK7BlCYsloZYWWWC0gMFVWlG2FOBotMy7jtYFnNalnIvpy/r0+wLGTZvWMz4W79EgkBGDk8PWBL+SY16tk23kMb/yX2ljJReyxrtXBTA/7zVTiu3tNTb+238vi9/+66i77xJkEdFxTtAoyaJfpSUtaihyTKePKZckgwHcviEXK92ujDfoNZmBvfM2NA0uTknSlKayHPmQ7NFDTntbfOfh7/F/Kv597gT7ALzg1/jn+WP8yeoqcTlmPp1j4xS7bNg1+wSJ5YMsIs4LjsIBD+aKzdN90rhi/fIOPoioO31MmWETAekaUCZko59wI2lIv/Qag9Euj04y9qc502VJZZ24S3UiunHA0SxnmlfU1qG0xihPt8rYsgtCb6lVwGHQb3045W2ikGSVUSfCEjGrGqxzOOtbEOzJa0fllczqPvsScI51Sh3yzeQ6R6bHjeqUri+xaN6JtrkfbTzFkH7WagXMPynu+3HB6k8L7Cog0PLaBkYuThSQW4m/DANNXlv2Jzk7w5QvXltnkpW8+XBCFAQUlSMODa9eGTHJCt59PAWluLTWwXnHaVOSBAajNSezgl4asiwaOnHIlbUunTjg8nqXYSdia5Aw6ETgIYk8aRyQVw3fuHOE956qcVzb6J4xlK5lfg8mOeNF9ZGs8qgb82sv7zBZVuRVg9GKtV78iQBiVjaUtWNr8Hwo0Y0DpllFUdkL4HlRZ3UBPC9KKpsLWOuPnn9/dyCim/lUZiU/SU3HAry2L0m7fLAmYHOwdg6wHt+X1vlwXf6tcs3DSOY5D/fg6i0Bju+/eR41GUYi6tFGZkSNEVAWRZLZDgLMrt0S4Dk9lXMMW7HO+z+QY0pbtXoYCuvZ1DI/uUr+CUIBfFEMccLjcYaZL4idI3IVTodUUUTuwDaOrm8I8kwos7gjCUYHj2WfvYGAuaNDOaYoEiZ2uRBAevm6gPP777czsBO5MAhbYBynks7UX5PfB2tinr/KM3/tq7LmJwcCVLOFOAEM1z88N5stMEXO8Ku/Cq9/RRjZ3/qr0qpftfWXS1kPZ8HVULcjEtm8Vfm3x98mKJX9NZYNFHmBdhHN2hrJ9mXG+9/hLzz6K/w1+wYAQxL+0fRP8vfWrxNOxmS+Qg3W0XFKHXUolwXjPCcYrrNenjDTASdhHxUn5GnMlWzK7BAOeo7N0RaD08cE2UysoRpHVOckpmAZDHnXdnl07xTrPBoRawTeM+hEvHxpIDOdp0vqRnw6nbW8WBxwuzqi40TZHGhYlhFvRdu8H22hlcK04VcnC7Hzcm2fVwHLUqx3qvqje7/PAqdSh7wX73A32iTyDRZNqcNP9vf2c6pPCgJ/XJbUaIVSnqbV6SnFh4RZn7Y8MsNrK4c2ltjJ3PkwDYmNZlHULE2NMYqNvhiar/cS/syv3xID+EVJHBpRlHvH8bykF4eAop9GWCcOCqq1WzqalVzd6LI1SFlWNeu9mFvbfYxWHE5zjqYFt3f6dJPz90LTOP5/b+8Th5oXds4ZSq0VkTZsDhIOJhnTrPrIVB+lBGyu8elSf3T78fikhdOT5bwX57vPKFN/UT+fugCeFyW1MrH7qA8Irc7Yvk++bXtmMYNBACQIOJqPBcxWpbS+dzpyLKONpz06L98Qs/fDvdZrMzwHg84KyAoCYVTzpQhuVuKlyamc26XrIig6ag3snZP9BIGwnitD9smRgOvhuoC2wXqbJiQm9jmGg1nB5U6P5HSKchYXdDHeEdYFtq5xqs1BX7RAfQUc444s9mIujGKSCOvrrLTi0x588DZMxq3S35+/NnnbXt/agau3z7ejtQisJscCNB/dlfnRbk9Y36YSEHv9Bbj9qpzjcg533xW7plV0Z28A11+CKzfBPJDHWCtq/o1tWFsHWjeA9U3xOR1tSAzq9ASSDtlkyr5LaZqSrvcEdcFsus+/Mv9L/Nvud6mwGDR/j/4V/onil4jdJlnTcBStM0+HbFy/ys3qlM7hfQLvWdaOPKsIk4S8u832YEP8Do0iPi0o85rpvKIcbmF2bxBPjgmKJT6vMEZzbHq8o7f59qMF3kv2dScO2BzEnC5KrIP7p8v2fe1bMYjjWnHMa8Uec5PwMOyJH6fyDFzBl8vHWBNwP1jHernQaN04nwJSTd6cJdx8UiFNo8yZ8OgXrVYCoR/Xu9N73xr3++c6mz4JbI2Sj7CPuQb48Pbbn1lpSQNLPw1Z7yWUTYP1DtNGXC6KmhtbPW7tDLi22aNqmdBZVrXpVn1GnVgU7YBRille8v7BjINJThgovPWkoaaoLL0k4MZ2n8BoxouSomrYHKRPgU4QQVMUaKraMctrRt2nuxppFHAyL1kWzU8tTnLUjeknEbO8Yu05+5guK3ZGKb3kAmpc1HldvBs+r7WKlwx+Qi9h2npmZgth0J6tZRs92X1OdOQPq6QjjFhViNF5nMDNl8UcfT4R4HX5Brz+NQGUs4kcxxd+SRTlb34DxifCZJ4cyG3eQdkqwlcq8ZMjmZ28eksENI/vtfuYnpvU9wYyR9npCXDtD0R5/nv/hQiXun0ZLSgLYV2jVtn56L6Ic4brLPf3KWqFXdtCHdzFBRGmLvF1jmoHxWoVEKQxumiFUq98RSyaJkdyLElHxEhNJeBtMRO7qHvvyb7jNnveOWGb01TOs64EWE9PBdDOxgKsN7flvVAUso1uT0RWG9vt6zeH7/2+gP3RuoiiVrOwZSH7OXwsXqdVCUlXXpMgkJSl5UyOd7Amv69vyzl0+2J/9da3sfsPmR8e080yusUEmoJ/N7zDn0u/xxHix/mH1Qv8I9v/IJfyPh1zRGViHvkeedJnWXvycUEv0iwHtzDZDGdzHqsuYbpO0OmQPiF4iKMQbbosF2Pm+0eMB0OaekTgUzY3IrLS4hZTjno7JNrQTyOc9yyKSqJCtcK7hv3TirKx4KCxFuMst+oTch2y0MkZgPFeMdMpKXL/QzOiQUzCQbwSnyzP06k8CgE/K7uePwglcQRPl+cc1D3v/h+1rBdrqnYMkxXh9rwsdefl8SuA+uQ+P4p5NWrl7QmzrKJ2jiAM6MUB24MOG/2Y8bIijQwvXRpyZUM+G5Mo4Ob2+bjS3cM594I5az252Ll3POdkXlA1ll4c0okDitqCUqx1Q66sdwm0Zn+S0VjHoCMjI8+Was3li9pS1g3OiRvDoqhw3hMZQ9PYT67g+gQVh4ZbOz2+e/eUQCt6SYhS4vE7XpQopbi5PbhgPC/qqboAnp+3mk/h4KGABOekbbx7TZTT+nnX/T9ihZGoy3/w7Xbe8Ymr16YW5u72F+S+T1qDNWmRHzySdrvSLXBs04NsI2zcap/DdWEm9x+KT+b6trSp87wVJkWyzdNj8eeME9lOVQh4/uU/LGDqrW8L4N3YORctjY/l55d+9TwLvj8SNvTBHVnXIhPgm2cC1KIAbr8iv+8/IK7usaW6qG5C3e1jw5RkdowpS1wQ4nQEeLwJJOKyP5RjW9sSAL25I+d6enRuCD+fCrAG+carawGAJgBbge7J/Ktt40PnUwHO2ULAdKcvwNloGO0IuD14KEIla6WFPj6Go31s2kGdHqJNKIzraFPWx3uJ91wuhBWtSwGeYShrfP99EYldviFgd3ICww34wlfgK7/G5FvfJJj8Jp1yyV/vTPinOr/L9/QJAC+6Af/L4g/xleSXeOQu0Yw6TGzFaa0oipKkLIg82AW8tbbJ8sYX2MlPSB+9x37dJSwcO5EjXZE63qO9o17bYt9F7Bx/QLnIqNIuURjAeEHaFCy2rnGnSYgTcM5RW8d4UZJXlp2hzAlXjYCAorIoD2s2Z2BzDoPBUwDFA6GBLOgyKhcMKRmrFFB498ON0AW8tok9/PSiIj9L9SyofBZo/rgAfPV8AYkSKbn6FHxyef0TPz/JsmutcM5TO48vLQbPoqgJtOZwWtCJ5Sv0B48m7Iw6Z3GVT1YnDlBaczTNefvxhJN50TYyfBta4FjvRvzx1y9T1o5ZXmGrhu1hypX1Lm89HOOf02mKAs0gDTme5TTW897+jJN5jm2tkbKyIQkNedV8gjP+5HV7Z0jjPHf2Zzw8WZ6BzF4S8vr1EZfWPkPxRxf1magL4Pl5qtMjiX9czISx00aA0uFjUZvf/sKPBz6v3pS5vYd3peUexcKwWSvA7OZLn267WosoqMhEKNPpCog7PRQWdXP3w3Oj/aGwevlSxDEP7sC7b4gV03zaMr5WAFraacGTFrbz8nX4xm/K+qzAJQhQ27okAPjR3afvS1J46YtyjnUlCOF7vydrvRIkLecCuA4PCI4mTF/8Ek3Uof/4PZo4pU5STFNBVaG0QfdHAuy2L8uxp11Z49lEAN1wTVjOg8cC7tY3ZX/Wtop8344BVAI4wxiCSo6vzAV4Oye3z05l9nMVjZlncPBAwGaRY5uKMu6xpCZfNISlY5jtEexeJlJKQO5sIuA+iGS7s7FsDyXHWRbQ7eNuv8I8HlCWNcHePmnVkH7xKzRlyWN7wv+q/03+4+AeACMf8U/5r/MPN68QFkveUw25CVF1Q9EEjOM+73Q3GbqcZdkwJSLobvH6cEQRGaK9ewx8SUmHWVGRRBrvIZid8n4Jf7OwnFR9rkXXecWN2a4zYgxTH/J9vU3au0zfGyoLi7JhnlcsSxEAHUxzBp2I2nq88zSuZb+8b1vB6qwtvKLFagveO1LvUM7JNRT+I0Ixn19Ptt7/oJaBT7RmP6xWsGxltaSVxnlH8xxk+yzD+VFAdAUO/cpGyzrGy4okNOgQtNZEgeZkUTDLa65v9Rl2IpQSwdpKTLPRj9noRfzOO4ccz/JWvR5itKZ2Dusq8sZyZ3/Of+s3blM1DqWkVa6VYrwoeX9/JgKjJ89DybxoFBgenMypG8daLyE0mrK2OOcZdELeeTRhvRez3vvRfDk/aRmt+MKVNa6u9ziZF9TWEQea7WH6I1syXdQfrLp4V3xeqq7gne8LoNi5ej6L2RvIbXffERZw+/Kn30cQSj055uwAAQAASURBVEt465KA2eUS1hIRrmxst7GXn7L6Q/jKrwno23sgTF2Sws1XpPWrn5ln0+Z8nKA/FED5zd8SG6VBm3u+yn/fuSKgcXoixz6bfLwIajCS9nre+ng+WSu1+8EjYTs3d59e696A5PJ1mu+/w7y01C//ClE2RdsKr0N8vqDxhk6vi2oKyB0c78nM5uvXpP19tH+emoQ/t3sKY87y2ptGAKA2wuoWeTumkAqLuZhBeSjs8WBNmOTBmgD0IhfGuCzBRFhgFnSoxlO0swTDDbyzTH1EeHRKzzoS10C+EPYVAAfhLmzsysgBwLVblLXj7knBqRXfS1zE7re+jbvzJv/a4/8H/3rvd6iUQ3vF/7B6iX+2+RXWoyGqqfDaEClLkVc4ZVjTijSJKdN13s0rbCAQIGpgntWc1AHebHOluU9cZUx8yMkiIKkz8trxIN4gzMekKuZhNGKWbpFUGYmrGDZzNqsj0reOuNzvkm9e4aEZsVfWFHUjno2B2MEs29Yk8mqw1DGZDum6koVJBJiswKKH1FZkRMxULKzlpxl7/uRP+YWoFQ78SYJOkI8Joz1pZEiiNr2okTnIJ0vRimF+xBdAqdY0wiE+rh6G3YheErLWk/nGvGp46+GY//Qbd7my2UcDg07Ere0+N7cHGK25tNYRm6O8ZmsoxvJFLSby24OENA744HDOwSTn2ubT40zXNns8Ol1yNMvZ6Cdn1khFbWmc59WrI955NEUpGQnw3hMEhisbXa5v9tgbZzw8Wf7UgOeq+mlIP/18COEu6udbF8Dz81KnxwKsNi99WACUdgQw7D348YAnSMt165L8+0lX2pXZzusvCjj81m8J+HwWdIIA07Qr93svIPDStfOWcBhK2z/tnhup94cycmCb9pvoI97eWgsT+K3fEpA5WJNjSp9oCa1mM59jmB9qzfbOBvnxgju2i9p+gUuTY3yRo7wiHK4RR1qA+toGjE/lGONUwOXlGwIUZ1MBmXEqjGXdspx4OS5lWr+eSNrezsrjSyWznN7JjGtZyDdip/XuPN4X4BqnYGtKp1g2jiSKCG2NtjUoh0pC3GJOuZcT7m5jugMBq9aeC5Ze+MIZ21oZiagcF47+QOL49HzMfzz/6/yvJ/8FJyxAwW+46/zzxa/xK5lGu5rCllRBjFMQe4fPFuQqYouao6APShEag3O2BQae9w+mlJUj6e1SJx3M0WOSbIq3FnAoa9lZHLDpoNYBJ3adN7mEMfBatsd6NWOqYpbaYOYzOtMThvE6dXiVyiq0gspCXTZnqS0ajwMyHfE4HPFKeUCuQ2wr8vFA6C0Dl/P9+Aq1vvj4/CxVYBQeYTtRIiRDOar6iZa+er4+8lkWdCV+aizEgQbjcV6xNUi4uTUgicyZ/+vRLKeoLVlp2RkkaK2YZjXf/uCEWVETGc1bD8fM87oFhw1ppOklIcNOTC8NUMDxvOB4VnwIeG70E37p1iZv3D/lcdvKdnhCo3lhp08viShrRzcOqRqL0YpBaxGmlMxd7k8yvnht7SkT+Z90rWacf1o57Rf1i1MXn5yflyqW8vOjkoOSzrmn5fOA3GeptBaWc7ttoUfJ0+e1EtDceElA13zS+nzeFjHL/kMBWNq0tkH74kH6pV8V4JSmrS1ScS4OWlWZw3d+V8DZ/ffa4zHC6P76n4Bbr5zf5j96Am0tMZhLazSXRjyOv0xy9IDd+9/HDIekSYzptN6WcSoteqWEQe60ooMgOgeK3b7MnV691YqMHp97fGojANYjTOaq5T4YChu7nAsjeu89yfjrdOHuVEYxrMU1FW66oGs9IY6mO8CUS5QTzilyFYWOqXRIGujWPsrTBDGF15T37oPWdOuGYrZkYvoMR32UUvze7Lv8y3f+Nb5vHwBwjXX+fPE1vq6/SJiGjHVGPDulsAqMZr3OScOA24uHqKpi0t9mn4Q01Gz1uzweL5nlDbb2TPOancRwtRwzmB/ibME0TDDVksbWnEQDsiDAOuipmhv1McpWKKUZ1jMOkg1qxBEgSiMOFku2JgdsxQGnya6YwTsr9jsemmc4yHeiHTqu4mo9oVQBlTLEviH0lnvhBh/Em1zUz6+MgkBrrHeo1vihE4WUtWVRVIRGM+wl5KVhQUXZOGmZP/Eya85nPnVri7UCpauHBa2DQtl4IqOY5xX3jmYkcUgcaKrGsT/JGHYj4shQWUc3CFnvxZx4x9/4/mM2+gndJCCJAwxiGB9ozXovppdI+7yoLUZrirphllf0kvAp0/cr6102ejEH05ysbAiMZq0bs96P+eBgThQYdkbP93nVWn1qQ5IfpQ6nOQ9OFpzMRUC4O+xwZaP7XEHURV0UXADPz09p8/H9Odu04pzP0dXm7VcFYB09btnA1h6pacTS58oNeVxZCBhNtkRIFUZiXP7ontweJdBPheH8/u+LZ+dwXWZIn2SInYW3viNgd2tHmEcTnOer//X/RFjP3WvCgkaJMJ/PCqq8h3zJ4OUv8bXbOxTVBt5/hUjNMSYU0BfHMn86ORbvTq2lZb21e76dOJHHnhwIcxsnopyPU1mTo33Zv4tkhjUMW9/OkWTb9wdy3LOpgOyV12l4rvT3dYXKM0ITorHEk0OUs9gwISiWKBzL4WVsXYtoKe1SLDOWi5xxf4DeP6JIuqxP9jjublJf2uagOuAvPvi3+Mvj3wSg72P+LvMn+dvcb/D18g6OjHmdYn3AMEgJbMNafkKMp+j36ZaKYwy2qbm23OfdMGFeNATGsNE1nCxKdij4r03fYy0/4dgGHOouG8WSG+Uhd6INrAlIg4CytmQ+Yj8IeKE4xnnPQbwORqOtpfGeaV6RW8NMJ1ytx9yJN6lV8KH5vydZr1KHfDO9zl4w4kozpuNqDk3Ko3CN02SIw+D/IKiDPoMVSYIpjXNn2ezeg/WOjUFMWTvqxgnjhycrBTw659skqvNPSd1ea3VCg/WwLM+HAEIDSajxKEKjW6V2gXUe63LK2lK26UPOeSKjycqGbizt5mXZcDwruLrR49Kow2Y/Zn+csz1I5b55SRqHeO94eDInrxzv7s04nhesdWNubve5st49E+skUcCNrWfCPYBeEqC1om4cYfBhRnOR11zd6BG051C1Cvo40D+22vz9/Snfvz/GOkc3CfHe887elAcnC75yc4OrG5/CBeWifuHrAnh+XmqwJm3VjwJCRSaM4E+xlfITr7QLX/qagKf9hyJwWd86V+mvZkqDUIB3U8v/b2yL0Gp98zwqs2lkzEABDz4QsdVq9jUIWoP2uaiyhyMRS61a8WEbK/nwA3jzWy3wHMGlq8IkDjlvw9tG9j0YyWwp8oVAvy/ems4K6Fsu2rGFK6JiP3ggc50Hj2R/q5nOIJRxgm5f2M44ETbTtHnvSgt49g08uCuCpM2d89nUzUtyHif7wuKmXQHd3YG8J3RAbQ8wTSmDbc6hbINPApwJCYo5ndkxOgmg3yWLOxzSoQkTOsoRlRlmuEsewAfzin/v6P/O/3P2/6L2DRrN38uX+fvqP8p++hqzyvEo2eRqfkRcLqiVIcYS0uDDmGxjh6PNG+wtFfdSTTcy3KxPydlhOdzAOs88q7g2vsufyb7LpfKUkoC+9ayZlGXQIdMhm/WCLOxwGqwJ69U4KjQGx041xWnDqDyg8TALuuyTgo5Z6og1m5G4mvo5YxjPwshaBdyP1rkfrZ/dpgDj1XNVxp+2flwj9V/kinRrS+XO2+V1KwJTXtq7K6eAonJEQUNZeWprmSxLGitOBtZ5jNEYLStt20jUODKt05qM8ATaYrQo5HtpRGQ0jfcoPMvSUlrLdFmBBtPC104odkiTZcmD4wVpFJCEhpN5SRJpSbhSipd2R5zOSyaZpBYtW1uvk0XBPKu5vNHh6kYHrRQn85KjWUFx3fLipeHHrtHmIGFrkHAwzbi81n2KKZ3nEmJwZaPLw5MF948WTDJJM9roJ1zf6rE7+nSq89NFwZsPxySRYdg5Z1tH3ZiTecH3749Z68Yf8h+9qIu6AJ6flxqMJP7w3vuwxjn4XAGh3hC2r/w8j/DTVZwIYL52++mYzCerPxLANRuLtdJiJq349a3W8P1EFOpx0qoBZrImxohgZjqWtnmbRc7tqx8WSmktDOKDD85FRy9+EVACimenLcDPhaXcufq05VS3L0Bx56a0yFe58KvHBKG8Rg/el/lVlNy2cxm+/sdbm6wHMJ3I+YQhvPJL8NVfl9f99/+mML+DkXhsrioIZB7XtPZHr39Nzvm7vweXrmOSFLXICB4fY5QDFD4I0U1JMdzChDHKWczaGuVoi7cmnnthhO71Wc/HdNe3WLz6G/znj/8D/g+nf5FxKeKjX0++wD/Z+7u4MYk51QG51WA0hxs3ibOUdHZEUi0JbE0VREyvvox64Qs8mtUUqqYXNhR1Qy+OeDXKONi4ziyvSB6+yx+ff4eNcsxh0CUnQKmGdVdwpZyzp3ochz127JJTO8Ah6UHWQdwU7NRTSfsxEYmBQXXCyIfciTYoVYhV+iOz0n+U8kDzk4rHeWKbF/X8CgJNFBga61iW9kzohToHorr18HTe470ijhRNYTmZ56JPbBd4ZfQfGuRzwktgwHonYnvUZZqVLCJNNw7pxSFbg5STec7RrKCXRlRNgbWOODLU1tFLZKbSekcnCIlDwyyveDzOuLbeoW4cxmjCduZxo5/wwvaQe8dzysZR1O7MIP76Zo/Xb2zQiWVcQGuYLWv+y3cPWevFH9u2NlrzpevrNHccD0+WpJFEceZVQ6A1r1wZMl2WvP14ilZic+SBhycL9sYZX76xzq0nko9+1Noby2zr1uDDLf71XszDkyX7k5wXdi+A50U9XRfA8/NSSsFLr8vPvYcCTpQSRmy0Iaru3ofbMJ+r+ii21hi48SK88Q0YH4m90GpoaTZu03yeUJ9HMbz3pgh7Xnz9PPv9vTfFjH5yLCzjh8BnKIxlU8vvYQSvfkUskB58IC16ELD//pvik3ntBRkL2NwVQDobC+P4ZK08L3tDeOXLAkpt03py1sJkf+2PtPZRmdw+2pBtrmZfV4btZfk08FyVB4abku6ULcQsPl9CNqe7HNNohfUKrTVeaXRjqaOEadRne/aImU757WKDB/MZxmi6syWdpuA/C3P+r7/5d/Ng+aYchtrhv9f5e/h68jXu0mVvQ3N9/AFRkUGvh49jHiU3UOGI/nifJNLMdcro0iv0MUwymVUOjSIyIbWrqWczTvolsYavTt6j2xRMdMKCCOcd6IBjFXK9HrPdzNg3PTbrGTetp0KTqZgazUY9Z24SCh1SBDFRaJhVll6dcbM64TToci/cYKmek1t/UZ/JqhpHEhqehOdKyYxn44X19K3fVaAVWstPvFyM4M9jHVepRbUFlDClTeVYGMuacxitGaUxxig6SYAxiqLxhIEW4Yz3Z6AtUJq8sgSBwtaeYSdGK49RmumyZHeYUjWWUGui0PDBwYzTRUnZSAJSWVsCI3ZIO6OUV6+s0UtD9k6XPJ5kFJXFe8c0k8+iP/bFSx/bth51Y379lR0en2bsjZfU1nFlvcOltS7g+e23D+inIb0n2MdeEjJelrz1aMLGIGGQfrK/i8myJA2fDyGUkvGEWV5+om1e1B+MugCeP4lqagENTTtnOVz76Qh8wghe/SW4ckv25720gNc2fzyro89D7VwR1vLuu2KFNJsKUF2xj70n2lHzibCiL39J1gzk96qdH318X8Dr1q60pFeAt2gzzZ8UJK3A7OmRPO7KTdmms8JS/uA7cv+123Jh8PZ3pJ3e6Uk/MF9KTn0Yy/zls69TXQmjeumabPujamtXwOjxvrCuyRMsQ5GJaOrlL7WzoPG5X+j99whcDWFIHqVUOsShCZoCVRZ0d7ew1ZT84QP0KGHLBPSU5ag65M/6v8zvH/4eALHu8se3/yEuNX+azMT8VqCZZRW2cuz7LV5hn0E5ITAJoXPUvuGNzhWqMOHl+ohJVjHOKsbzEqWENdzsJ6xFis7mFsHVNfThQ9byU05Mjw27QCuhtnzbUp34gEvNhK/l90XVG+RMVQerNSO7JPSO78RX2LVzQmoyK6/dQsdcbSZkOuZutPHRsbA/51pZ/fyECdXPbYmnKmRlIwTl6g4PyshCiROZxjqH1uJfSSuSiyOD8qC0wlnZRm1pYyuFMXUesrrh/tECrRVGKW7t9FjvxjwaZ9SNpbGeKIA4Chh1IvLKohWUjaMTBfi4BbbW4/EUteVkXpBGAdY7HhzNmeV1q2KP6MUhe5OMXhpybbPHqBMz6EQcTDI+OJpL7ns/RssHCFlZ860PjgmM/ti2eBoFvLA74IXdp9nL7949obH+KdC5qlEn4uHJkoNJ9omBZ6A/nNb1ZFnnn2uof1EXdQE8f5zyXkDD3XcE7HgEcK5tiHDmo3wkf5xSStqtg9FPftuf9dq9JsDw8g349m9JrvnG9jnIrythNk/2ZX1WoHN6KmyltfKcxUTsp7yHQS4G8flC7r/9BWnZP1mP7oljwJP+qdoIszk9lUSfnSsCHpNU3hOnR4CXNKj5pDWNf87FQRgJoD49knMDAcenh+ct+f5QLmZe+6oY409OYdEmChW5zMbefBl+6deEIe315XiWC0lL0iHByQGd4YjIOlxZQdoniGOsthyHPY6THmYwpMlm/J+rv8J/Wv1lGmoUmq+t/Td4Pf7vMww3cQFcWkvxVcnW8ghdLsmt5WDtKlWsMUXGEsWDsMs902FDV1wpjpk/3ifq9UjCgKwSAYZuasZZAbe3GHZC3ts/Zd025EGfosnQtqZCrGZSV5LakhCHcQVT3SFxDUYtyVTCwFcUOmIe9ahcyFU3Z1DNz5TMBQEPwxGHwSdvKf6syvPTUx5/HuspQdATCyM2R/5sNlYh+efWQaA9zsmfaaA1jXPtNiTGMWhnRp2TZlFkxFprWdREgSaJAvbGGWlk0Aq2RynLoqGxljTUNC24DIMAlMIY2B11iALD4/GSZdkQGcNaTyyQfvvtfT44WnBtvUscGqzzlHXDMI3odyKyoiGNAhrr2JtkhEbTi88/J1azmI313D2YsTNMP7EgaJpXJNHziZBV7Oay/OTpRjujDg+OFzI/+4yFUm3FBH+z/3yl/UX9wa4L4Pnj1P5Daf+exTK2CunJidz+ZCzjRf1kKgglXjNbCuAvC2lNnxxKm3s5F4/L7csCJL0TBbxzrQl+AO9+H7JM1OOHe/KcKIYXX4NXv/z0/qpSUnt6w+czZf2hqM+npzJrubYp/2yrjjVGMtrz5Uefk5Z0osY61HyKefd74jPqnSAREwgofek1+CN/Ct79nrz3ykIEVi9+UZjwTtuC10ZGAN76jpz3+gZMjjB1jVEKAgWDIY1z5EcHLHzK+5s3+E969/kPTv5V5s0xALe6X+MP9/8npO4Gs2VNrjKurPe4rDJuZHfBnjK1NaVtsGNF9+o13r38MncX8mV/OVBcd1PSac2t6UPqRcAsHnCou1RZQOoKvtPZYbxXc4spPziteFEZlGs4VQmbzZxGgVeKgc2JvMWiODI9JkEP5z2xqwldzcNoRN/X7OqSd8M1prZH1xZo7ygx9GzBwWcYdF7Uea0ApYA8sN6f5aaHRuyIVvc5BxYnbXVrCbQhDvxZglGsFcvCUrWPD3SbSwHgxFJJmZXFkcwLL0vL0bSgcY5F0RAYxTyviQPNoqxorGdZ1ARG04lT1roJjXXc3hnQS0Kub/b4o69dprGONx+ecrnukNeWRVGDgl4ccmm9wyANeX9/zjSrCLQo4kfdc9axqC1hYBh0IoxWHM0LFkXziU3a40BT24+2hrPOEX4KZnJ3rcPWMGVvnLEzTM8U9WVtOZjmXN3osjW4sFS6qA/XBfD8tNU0opA2RoDGqsJIQMLhc2IZL+onVy9+QX6++/9n77+jJcny+z7wc+8Nmz6ff698+2k7PTMAxhDEWUB0i11BOBQILrGQyAV2DxfkIYEBIBiCBiCJATQ0A4lnSEDUkruktKJWlHRIAYShSACExwyme3p62lRXl3/+vfQZ9t67f9x4pqpe+66e7p78nlPdVZmRkZERkRnf+P1+3+/3i3DtsiOfUeyESA3r7IgaTddKT6bOFQBclXLtnCN0Re7GJIIQPvZNt5K3A+iyqpQeExJZ46qRWrvjb4xb7jiO+5LWmy4W8wQYLKPRhBt+xubnL7F45WkWbErrzCkaB0rRInfnk9Xw+Nc5gpsljmDWaiSlZaufMNzeQ0rBXCNkcX4F/8KD8OznHGGOao6YhzG60WKaFRSDAQMR8G9qPf7O/k+wvu18TeeC03xD9y+yKj/GJC0ZlgWlNjQjn7hIqL18EeEbsrll7HBMMRiii4LGzjXW0oKb9XvwY58PlDus9q6Q1mKS1jmC0T7d8S7z7HIjWuCZ5gUuh8uMN0dc3BlT6piXZYeHk5sMVIwFOuUE35TEJicWJZlQvBgsM5AxCoO0lo5NGIqYSJeE6QgTtUmER+o1nTm80USmYF+dMBs7w7sO9rb/HyDwJL5yc5/Oe1O46E1jD5dNC422FqMNQeAs6Mpjz1uOREmedOIlKQS+cMIkayEvNMOkZLkdszWY0K1HnJ6vMU5KppkTxeWlRUrBSjtimuUgJN0oYKVT54nzC3iVtZKvFA+f6VBoS14alBQ0Iu/QyL0WKhqRz9YgIc1LZD10+e1ZSVJoTs3VqYcehTbuZ8a8MoF8Jax0alzdGVNqc0frOys0SogTBUKvhchXPHlhgaev7rEzTA+3zZOSswsNHjs3N2u1z3AiZsTzzWLYe/VYxmbnlWMZZ3jr8Hy450FH7tfOuP0dhM5eKa/y5W9eqZKc7NEcZzJxbet7H3bkcDhwxuuPf52rht4OP3St9zRxFdLRwImKJiOOJLPWVUtX7nw5cJQ1Px272c8KBsvm9U22+jnr3Trd4S7BuMfLtQXizTH3LDuTaPzAVdSvvOTa5weisoUVduI5nupZBpPs0CgaAUvtmCfPfYDGqO9ev3zKCaQmQ5IkY5ylbKkpP1r7bf5N8UX3UUWNb1j4br7l3j/HaGK4ujNGeZKahEIrljox57MdavmETdXm3v46p5IhSZaSlRq0YnnUZ/FUC8/vsDa8iWg0KEXIJPR4nialGLMWWQIpYX6FOjWG/THTqUGaki3Z4AlTcqHcYSqckKNmCwKr2ZN1dv0mA+Xm3KxUGKAoFSWCgQhoFlOEb8BTGGORVrNSDln32ux4M0/B9yKUcE5gtjRoe9RM0BxVNhUcMlWXsS6YJIVrwyuJMOZQbHTUondCpLw0GGuJfEkt8NHGVm32iO1hwigtWWhFTDJNPfSdoXxhKY1mc5gRBj4Pnupw33KL+9c6hwp0T0k8JSleYb7SZZornjg/z9WdMduDKRv9hMCTxIHHucUGq13n4znNXEu+Fr7xS/ZKt8bqXI31/SlLregwP32SFeyPMs4vNd+02XurFvDxB5fZHaauogu0a87YXr5LZ6ln+MpjRjzfLMri1WMZPd+RnINfyRnefuzvuGrguftvFXNFsRP7vPBFJyTyq2ORV0lAa2ePbgb8aZWC9Ap35p7nPD6ffwqwcOOKO/a1piOu/T1AOGI5t+AI4u1oz7ltfPl5tx31JlgY7+6xuzUkP/cg82srdC7+AUGtxkIrpj/JubozohH5zo5lbwvWrx4lOhlNevHLbPVLWHmAtTNnDn/oS+3SVJ42AR9dPo3avuky19tzJFubXH/xOf6x+vd8VvwBaVEiEDzZ/k/4mtafwys7JCkYY2nVPIrCUI8DpmmBNoZOsof2PJp761g7oR/UKWttIl/R9ixq+yayvEEWR5zOFPniItnuhME0Z1qACBsMaiEreY/Tdsx1HaC1s8I5n+7S0lN+J77A2bLHUjEkwFAIReZ5fCk+RWRcelApVEUwQGJJRUCuFD1pWdQjlHGzeKVV3PTbfDE6fRh9OcN7Cwf6FYPT9B3Hgcenr6iiIzWhkiRFSWEsnhAEvsRoyHDu8QfVT21dFbLUBikEceADFiElSgmMcVU9IXDenRbmmiFxUKdVC8BaetOUU3NNvu7+Je5bad8yf1kLPVa7NV7aHBzGVx5Hb5wx14xYm6tzet6Njry0OWClXaMR+wSeO18LbRgmBY+dmzt87I0g8FxlMlA9NnpTdkcZFpdrf99qm4dPd99SzKWSkuVOjRN++WaY4UTMiOebRRg5UpJnt/o5HiBL3OMnPTfD24MsceWLkxwE5hbh3ofc/OUB6ZxbcmMRzUoBb4177uy9r268v3rGkdwv/JbzypxbcuRz3Hck9+x9bj1XX6rEPLetSwgXxVlvOPI4dF6Y236LjbNnaJ897xYz+nCOtF3z2R9n9Cc5iyKDzZvuXOp0D03zdwqPbOs6F/pX2F9ZwgRHlZblTo2tQcLu+QdZno7hxS9i9rb473u/w4+J32VTuiz6J737+dPRn6EffYxeEZPokpc3h0jhLswrnTqPnO7Qm2Y8c3Wf/iihOx3SSPvsRi3QoIucNJf47RjPrxENd/GHbbw4QvgejZrP9jChNIbYV0glKKWPmI7YzetYILQl5/J9xjKir2qs+x3qYYaPpqkz7s+2sEBfRiyYKX2/TmGcabywjmT2vTqfi86isDSMs3EZqJgd1XhL3p0zfGVxkt7qoGp5cFSVlDRDn3bNJykMQkKaa6SSGO3IpG8t2oKw1qVWWUfqjIXAExhrGKa6sl8SDKe5s0TyFPXIY7ldQ0qB70kEonqtIA48xml5oujnwlKT3WHKem/CfMNVG/NS0xu7DsX9q+3DtvuTFxYx1rI9SEEIAs+Q5pqkKDk7X+eepTc/o1wPfb7mvkX6k5xRkoMQdGqBI9AzzPAOY0Y83yyaHUdudjZdK/X4j47Wzr7nvodnxPNuQnlHUuCD/W+tI5nWgPLh3g+4OdsrLzqBUL3hKtXb6872qNl2SveTYK0TDU1G7kYjil3bOksduVxYcRXOWsMd5/6eO+4nOQ5I6VT5S6cqwiy48vxu1Rp32140OoT9HYDDi1hWapjsuxlSz7/Fw3MwzjHtOYLxNs0bL5J1ltBhTFFr4SvnPTjZ2IAs4TfFNt87/f/wOXUTgLN0+X/638wHF/4o3WLEvtjmD1r3sjURZKVhvhGx1Il57Nw8ceARDhTPX+9xuQw5M+1TAKkBXzj/Q9+TCGtoNiJGhc9or4cfe3SV5Oy4j5r0uDHWFI0u0gaYsmC3MGgMzdhHpgOaNmXHbyEsGCEZKTd3NpQxbT1lrRzyxXCNOiWLxZjCQs3mJMJnJCOeCU+x5R/ZagnuTAWapQS9u+C7wKA74kvfCCzOq3OQFsw3Qzo1j72hQQjtvDdjD2NBSo+i1Eyz8nAu9IC4FtqQ5o6NapxHpTFu1jIrNHueYrFdIzpWccxKTeBJmpFPf3KyX2WnHvKRexd5Yb3P9iBhd5ShpGC+GXH/apvV7pE9UjP2+dr7lrmxN+b63piitDQij4fPdDk9X39T1c7jEELQbYR0G7Nr0gxfWcyI55uFlM4yaTpxM3/NzlHW+HjkyOjpC1/prXx/ozMPUeSqjbWGsy3a3XJEUWv3+ONf66yGfN/ZIr38nJuVHA2OrIcGe/DA4/A13+DM3MG99uKzzjezyJ1AadBzM6PLp45I6AF831VBD8znXwlSHrb5PU+RHbMxyTpL1Lav402HlLVWdUEVzuqpKKDVOqrWAtZo6oMdavvX8Sd9svYi1vPJ2guMTt2Pp3P2Xv5t/srWP+d/2Pl1AJoi4s/538T/Of8I7fGUIZuMaw1W0g0eWVghiBfR1nJuvo5UktBX9Cc5V7ZHRKGHWFglTF4izKYIocm1oB6HNEIPOR5ium2idpNhahFbVxCDdQhCOsoimCKmCVOmaC9kVJ/DSyS+p9DCutFVxB3ksBSKG36X03rAY/kG0lpCSkoEm16L34jv4+Vg4ZCoHu4f7iSZM9L57oI+UJbz5o7NAV+1QJoX9MeG5XYdIaEZhUyyAosTDIWBIlAKryYpS10lBEny0mVwSikQwtkuBVKhtaVdjyhKTVFqNnpTTs/XCT2FNoYkKzm32MTihE+vhG4j5OvuX2IwzSvjeEmnHp7Y3q6FHg+sdbh3pY02Tgw0m5Wc4f2GGfF8K2jPweNf4+b+djaqtnsADzwKp87dmak+w9uLRsuR+0vPuTSi3W03BOb77lhENUdEX/ii88CsNdzfy9K11zvzrvo52Ic/+A1H7r7hTzjy+HxlBN9ddNXOLIXenvMIldLNWR5Hlr7h0Yq1uTpPX9mj27BIISjqbUanH6B54wW83XXq+DRz4Qi1wAUHHDO3X0j2SHeuA5qi1iJtLxCM+3Reegp5+Q/4ueS3+OeTXyK1BQLB/63xUf5i8z+mv2MpsyntYkJnf0Rv3CI2KWe0YbT6GPG9D4BQRL5ifX/CYFocKnJroYfxQ84lm+hsythItK0T6Iihiul1VpkjIwwFDDysNUTNBp1Gg6Cd0Nve49xkg81TH2Bam8NMJ/TGKZ6KyVRIzaT0xK0E0rOGC8UeufC4Fi+SW4EHKFMyFBE9r85IxUiq6lcVoTnDuxfOe9OlD73SofKk8/G8/Xkp7vQ7LbWLv0xyw8YgoRYookDhB5K80BxQN6WcE30c+nQaEVmuKY0hKwxxoEgKJyBq1wJUVTLv1mOGSU5vnBEHToWeFbrKSI/ZGSWcmnt14ZoQgk799f82KClQdyOEZIYZ3gWYEc+3imYHPvBBV/3UpauC+bO5mbuGPHMVTWudSOfCQ45s/sa/darxet1VO+eXnCjI92HzOiwsuxnM6Rjue8h5Z4Kres4tuv9ffAYeedK9fnu9ykCvlgsjt87tm65COl46isa0xhHfxTXXDj/e+n8VnJqrc23X5SUvtWN8JUkWTzNWIdnNG5z3EuqthrN52t24pdpJOqXbX6eXTxB5QuT5BDs3oSz4/6kX+dvpL7PFGIBvqD/IZ5a+jXvSDjdyxUKYYfp9lCkoVUBSa1FOIJvmfGB8HdI2NxunePzcHC+sD3j+Zg+JJOjvcv/wMn6jzlQtUGQFZDlhPiGN62y111gyhtQY0JbxqfuokbIa5FCMiFWJqgfsyjnWJ5odnVBUCmIdhFzz53gouclY+RTC7XcJnCr7rOoRz9dPcc3rIoRASTcS0MnHPJRusq2a5NI/9Hac4d2NAzukUEBW3lnrFDjB2Uml0MhT5Fpj7LEc9sqnszQW8pJG6B3eKE1SQZI7EZ2UAk9IltoRy+2YjV4CVtBPMqSAOPSYa0QIUfloSslH7l3kyu6ISxtD9sYp882I0/MNmpHP7ihhqRWz0jm6WcoKzWZ/ykZvSlZoWrWAtcrzcla9nGGGGfF8+3B72s1XOw4iJcvSVYFfyYD99UBrp+q+/KL7P9aR+7juPDnrbVhec7OaEmeBVGvcmt1+47KrjNYaR6TzOFpduH7JLRdETrB0u2PB0qprwW/ddMbzcd2R4I1rjnwKCb/3q07AtHb2ZIX7MdQjnw/ds8AzV/fZGSSHF1FfNTj9wQ9x6swcMvBcJObTv+uq6nNLjtzevEq0u0FHa7a9OoNxzsvTL/E3ot/haeXmRM/T4u96X8+38ghmErM9neDFHRpk5FKTiYBSOtuhUAn6zXnmWy3E+jUaD6yw3Kk5j8F+Qs23NPb2IBBk8xfYG9WJ9jaYSk0ufRbLlE5vnbGe53rcpTveYd3vMOku0FyqkY2H9MYZ05rPMNNEe3s80PVoNiKS3NAfZ7zoLRD4KWfyHhZBKRR1pblg+mwFbbaCLliXaCMQBJ6kb+qsFX2WzZibqouxs3b6ewV5lT500KQ2B3+X7uv0SmmMaeGk7UK46udBBdQTjmiWxjJOCxpx4M4T37XYk6KkHkVONR55DJOSUVLge5LHz3XBCl7aHB5mvrdrASAwFk7PNShLQ1pqOrUAbQyTrOD0XJ2Hz87dYlH0hcu7bPSmBErhe4K9UcrV7RH3rbb5wFtUkM8ww/sBM+L5fkNZul9k9RVs0+xsuuriYM9tj+87Enb+/qMqITghzva6a4dbC/OLrmrY7h4t099zs5YvfNGlE/mhq/wtLDlC+sLT7go1Hri5y6BWeWUe+3EPIjeLm2duW06CEO7PgeXSSfsvqh1aGTHqu3b87oZr0S+sANKRws0bbh889IQjoK+CuUbEJx5aYXeYMskKhC6ZT/u0xpcRTz/vxFBLa25dF78MvR2XOX/lBdAlxfwqF/OUzwz/F36+/jwAdevxl7Mn+MvRR1kIaogsxU6nYENaZUZt3CM3GVFpGLcWWVEFZbuDrjWZeDFxf5vzYUboKyyw0IqojXZYDEteFl2KQmObi6TCJ9/ZIixSUmvRynB16UGiWkSY7RP5klIbfu1yj8hTLHc6NCKfZKdPrhTtekwcxlzaGjrC6Ac8I8+w7nVZKQc0RUnPD5BYejZkUhzY5xh3dC0YXKRNZF0Wt2SWdf5ewsEcrsAZuiMEEgsKcl3Nf8rKm9MeLX+Lol1JAiGoRR71OGCSFhTaEijJ+eUmk7SkHnhc3x0znBY044K1uRp+YdgaTMm14cr2mFoUOD/P0GOuHjBMCobTnMvbQ4QQjNOSbiOg24i4d7lJu+6EOgdVTGstz17rsb4/5dRc7VCtDi5v/oX1Pq3Y5+xi88R9YaylqEZaZsbrM7yfMSOe7wdY60QwmzfcvGJlLs7KqVuJ3juBnU2XllOW7r093xGlrRuOaD72NU71vbvpIh0nQ0fohHAVyRtXnBtAuwujIbz0ZWdllGXO1sir8sk3brjWdzpxHpoWJ+ryA/faU+fAq0YeysJVpFttR3LbJ6RJ6dKto950lczN6yd/vig+SgLylPPzrDcdGd28Cpxx4qP+vvs8cwuvOevrKeladVMNLzzv9qFS7rP2d50o6sw9Tig16jlSv3mTXuDzo5Pf4J9kv0qmCoSFP10+wI9NHqNDk32vRq25SGOyjxiPCJMhMrEE2QTPWDKhMMNdJo0um92zjLUgTEtWGyFrVesw8hVnFupcX79CpGCh22C3MtUWfoO9hkKUJU1yGqGH6c6zn2laNqBpMvpTwWZ/SjMKMEArLmA8RHbmIK6TpCWtKCBtaCZZSZoLdmSHXTqupY4lSicEtsBwpFQ/bLNa60KoKl9PmCnX3ws48RhZKv9MlyLkSbeEkAKMxQiIAw9jLFmhEe5hJBAECm0hLwxlafA9icZwbceNm+hq6DfwBTvDlFrgsdiOaUcBe5OMaa4JA03kKzZ7E/ZGKVmhWWrFzDciMq3xpODMQoPBJGOax9yz0r5l8wfTnM3+lMVWdAvpBCcaGqcFV3fHnF5o3NJyz0vNzb0J13bHTPMSJQWn5uqcWWjQimdjWzO8/zAjnu91WAuXX3Dm5NY60mS0sw/auuEqZUtr78y2GA1XX4RSVxXACmHsKpnbNx1JvPcheOEZV11cOXO0XKsDVy/Bv/1f3TYP9mHYd7GXB+11gLjmqp2Xvuyqn82OU57Hdeeturft9sW5+9zVbTqBB+9xcZgb1yFJQFgnCLLWEbzxADpzTgGvtWu7j4eHnpmH2N10aUfn73dt9yg+WiZNXDRmo+3I70Hlc27RretgLvX4rKYxroW+cR1efAb2t2HtvJtJPUg5yhK4cvFQTGWGPf7f8hI/0vvv2bLOE/TDepW/mn6CjxUNlz2tNQMRQOnx0PwyctQnKlPGQRNZ9xFGUzbnyGWIzXJENqHebPCBtSarWuDVjsjyPcstkrkGgxslqmZZ7sQMpjnjtODcYpNWHLB1Y5PcwvowpVarMZxbYWHjJaYmxxiP3iRlkuXEeUKkU9bX1gisM9GWQtKIAnJtUVKgk4JG5FEP3OuueF0+mN6gL2OEkk55XJU1WyZlLAO2ZMOl27y1M3iGtwmvRv4P2uv6tse0BVMYPFXNagJKQlHNgCoBrdgnUJLdihhK4QzS2/WQJC8ZJhmltizXAibTkjAwLLVq9CYpUeBxqltjd5whpGC+ETHNNZ4vGU4LxknJYjMiKzU7gwS/Up/3phkSwamFOqvdGuO05OrOmHOLrVty00dJQV5q4uDk+MlG5DOc5qS5PkwgykvNU5f3uLY7JvRdYlGpDc9e32ejN+XD9yzO7I9meN9hRjzf6+jtOuJZa9wSx0iz4yqFF7/k5hejN57F+4Yx7LtK30lVViGqGNFNty2jvqsMHsBaR9R6O84+SBdVFrrnCLTvQ3feVXMBTOnmKxeWqbxQXHXQ8x0B7e86ojbsu6va1ZfcMvWWy3cX0q3TWmeVFNfggx8/IpEXHnL77sCqCZwwqb/nKqdLa67VflxIFsWuArt1w5Ht65dctbLRcrZPcQPC0ImW7q08Xi992ZHKPHczsVHNKedHfThzryPjYewqtjev8jt6nb/0C3+B3999GoBV0+L7i6/n/6TPUcunGJ3jGcjjJiZuMExKilaEX6sjWosk2mOvvcjcdJey1sZTHmIyYimb0OmEZNvbPBc2KAew6k+Za4REvuLRR++nv3eF3nDCOGgQeIqFloexlhv7Y7zxkL2le5BewHCa89Kowf0s0Bpu0DEFpZUEwpB5IV8MVrk+jVncGrE3ctWnVi3A9yTTVFf52iCEpNBw0++wVgw4rQf0RJ1EhUhraJuE2BQ8E62RqOBEpjOrfr57cHAsLLeSzgPIKhqz0Eftd2OPqtwC2B9nhL6ofDiFm/GUYLTBkxJfSYwxZGWJRTAXhPQmGb1JQVFqdkYJRWmYpAU39saEnmJhvkE/zNmfpHTqIfOtiCv+iFHqiORKp8Z8K6JTCxDCZa3f3M/ojdNbiOfxlvtJZvIHjx9/6vruhKu7I5bb8S0+na1awGZvyrM39vn4gyszUdIM7yvMiOd7HVs3XZu4doKdR3fezVDubcGp83d/W4riSNl/EvzACWUGe45QHk+TmY5ddTCuVxXIcRVNWVVwtzdcpbJWGahPJ24WU+tqfdUFYNgHs+kqiVnq9ktn3lVCTTUoJj33byndNpxacvtKF0dVzrP3utduXj+KxVw57Z6bjNx7HSRXTScwHbm/H8ytzq84Eu75bhvzGjS7ENZc1TfPnSDq6kVXIS0y2BbuJkEI9znWr7rP6/lcl1N+5PN/h/9u59cAqBHy/5Cf4NsmH2AJQ1QkRIVLBxoEdXr+HIWxiDKn7CeoIEa0usRasdlaxmQ5tf09Si9AS0WYDODaRZLuAuurZ3nxhR0GT91kpR1z32qb80stTj3yCAsvPsP6JOUGCmMV4/6YeLDLtlfnRjhPIAQb+xO2Rxm7YpFaHNPNhwS2xAYR+2GbsV/DEzCYZiR5CTjLnEmSM0qcD2peaHZ1QlYYjAx4qnaWh4stlvIB3XKKttBXMS9Ey1wJFl6RXc5I5zsPryKDCInWBk8eBCJYcn3yDK6Bo6x1jv7vCQgCj9BXlFqTFYYk03gKOvWAJCux1pKVBikFrVpAWmh6o4wwUOxPMkrt5iZTYxhMXfSrtpY01zxyZs7de5YlSkk85ZKI5pohjcjj/FKLlW6MEuKQTLr/O9FRkpfsjVJ2Rylb/SmXt4Zc2hhQi3wasU+3FtKpbt6GScHaXJ3IdwSz1IarOyNqgXeHObwUzmR+Z5CyP8pYaM3EqzO8fzAjnu91DPuuInYSRGXNnEzfmW0Jgmqm8xViRPPMPe9Hd3rejPpHs5i9XUc2y9IR2WbbyVwH+0fEsywcQevvOSJ45oIjdsa4udH1azAZO2P47oJ7zWTktut0Nf956qzbd7Vq2H/rhiPyjZZb9+KKe+32umuBG+OI83jkxFKtObjx8q2mkb2KVHuB28bTF1x7fTp26vd7P+DGELZvus9scdXW4iD5pKr1NFow2Gfa3+LTu7/ET1/8ZyQmQyD45sU/zo+lT7I2tbzsS66FMSJLWNMbzJsBxkKpS9Sohx94jJtNJv0Bem/AsLOKF05Jl87QYo7OYJdsewNvMqBoNtnJM7afe5EtNcfQb7AzTBinBVv9hHOLTc6uPsj2019kXo8oSkOaFtiV0+ypRdYnErM1JMtdokteGvZVnc0gPrSqAbCFIa77jJKSsjT0S02Ua4QUh0KSvNRO2VztlbEM+Vx8loafULc5hZX0VY1ilr/+roNUEPkenhJMU/A8QaAUaVGiqu/96xGAKeGEbcaCrySlEWR5RqHdNE9pcqwBhKBZ+XNOshJrDBZLXmr2Rwm+UoShh5KSvNREgeeMMkYpm70JWWnoT3JWujFpoRlOc7YGCeOkQAnB1iChHioWWhFz9QhtnBp/ozfhuRs9ruyM2B4k5Lmhn2SkeUkYKOqRT7ce0qkFzDUjYt/j3ELjllSyJC8P2+63I/Qro/q8PPH5GWZ4r2JGPN/r8DxH0l4R9tVzyN9ONDuucri349rJt2yGcUTr/AOOzK1fcaTywLKoKKrK5rojmCunXBVza921oK2FYa9qPUeO1BWZa7kvrjrSeaDmb7bdMkXOLTWv6cRVNdvzrhVvqOZHK9Qa7v3veehI4f78046QWty29vfcvz3PteqLwn22WtMRfIFrxe9vu9b7AVGuNWB/t/psZ9xNweYN5zUKjnyGsauYCok1hv/v4Pf4od//FDfyPQD+0NzjfPqPfob6799EdiVFkRFduUo27iGEZKexBInHSPj0vQbWDzE6YW9/xNJkiOf7tG1OvHeN3VqXrfY8vlCUpcEsn+bm0n1c3hxQn67zNbUBVxbu56qtsTGY0qoFfPFqj9/ONUV0L2sqJ00zskZAY2mJWqFRyR6jSnpurYshxIInpROCaAh9wTgv6U8sxlq0NS6tqLLF8YQkNy4/+/itSaUjYihjhsSzSuYbgCffWiTlG0VegjUloa9oxB6elCRZQaENpXn1KvTx0QgLjNMSBGR5SalvTSoqSvArwllqi+9JfATT0lYZ7ZCUmkQYwlIThx5xqByJ1YYit3zx2j6xr2jVXPV0q6qm7wymjLKSeuSRlIaNUnN9Z8y5pSa10CMvDdd3J4AlzUoWmiHb/RQhnE1a6EmSrERYJ4QaZyXf/ORZVo5FZCopkVJQ6pP3iJtjdtZOM8zwfsKMeL7XsbTm2tAHPpLHkWeurdw5QcV9NyAlnH/QVRq31x0RDaps82HPbcfpe9yc4/yym/dcWKkqhB70e25GsjMPnQW3vqKA0b4jjEHTkdXNG0eznJ7niOfxGajJGISqqoY9lz4EQHXVSyZHUadxVfEUwu0/Y44M4C895wjy/MrR+EB3AcrcPVdvwNyyI8CjoZtPFcJVVdtzrmJb5EdpQ0Hg3hfc9htzdNMglVv+xmV+T+zyl8t/z++YdQDOhYt8+vx/zn/6DX8JozWXy5fpRQuo9hw5Na5c2QBrKZTP1WCBTjagqLU4k+/TTAekfky+dBplDGWjRZprot0Ndrd22MuH5NInry1zc6wZi4Cou8xC2uf08Ca9hYfIDVzaciKm0bTg9EKdQVTn6mSELeB8XuJJQT3y0SVM8oKicGrz0FNIKQ7boVliMAZElfEuBISeIwJZag4FQiddamc2SW8cB7OR7/j7VhVuKRx5zEr9uo7fwSKVkJ20qp4fJ52H74GzUrLAMMlZbsdYKyi0IfYVIoBxYjFYSm3QxtKpBUilGE6yQ5P6ZuwTRz5744yiNBhryAuDNZYbexMWWprQUwyTnI3+lCcvLNCth24Os59gD7a11Cy3Y8ZpQTMOWFSSUVpw73ILKST+bbGaka9Ybse8vDW8ZVb0AMMkpxH5zM/ERTO8zzAjnu91LK64KuNxc3FwSuj9XTh93qm13ynMLTrLpOsvu9nSydARsXP3wZn7XDY6uDSeF56uFOjGVTVHA1ctXFw5+hwLS470FYXz8Fw959a/uOq8PV98pho3iAALaeqWX1hy7W19rE1ljHs/IRzB1VW2envOzcCmU2fZJKVry2+tu3b68ZlVKV27PJm6+c/uovt83So3XgBLp9zM5/XLbpazIp5aa7QVmFITFhli+bQjwc0OrF/lZrrNj8hf5Z9lTjhUx+dH/Y/xfUvfjHzij7MdzaHWr1CPAjZKS91Y4nqM6s5RaospDWUG/WAJffZB5PaX2ApbJHEbe2qRzmQPs7NBNknxi5R70gHbQYcbwRybQ0VaTgh8SU14jKIWzXRIIx2x7dUZJzlSCNLcsNVPWO4I2nHAVj9hZ5Cy2HYWMq26T6vucXNvirUGsFhrXaShNggBvicIlCA3hkKDwJJrc0hMDqpewlrm9YSOniKxTGTAttc8TDWa4bVhgcCXFNk7V/L0BNRCnyTTFLrEGNyMpBRVG/yVIXAt9sNzQTiLpWpE9OjcAAKvcjewFmPdzLA2lsj3qIUeEhgnziattM5L0xhLLfTwPUlLBeSFJgo9+uMcJd37JZmhFnrUpVPXKyGohQopPCZZye4wpRn51ELFOC2IA49xUji1vpCEniIvDWtzNZQSNOMAX0m2Bwkr3ZqbgR6mCFw7XQpnObbQjPCUxFjLKCmYpCWPnTsyp59hhvcLZmf0ex1RDR75ELzwJVdxM9pV7ILQzT3e/6irpr2T6Mw7MjcdHyUXxfVbl2k04YmPum0eDVwLerAPiKoSaI7a3Rh48HFHLj/4dUf2UFo7AY/vO6LHwVzmoiORz37+qNpY5m7+0hqwAqI6LKy6/bS37ayQ5hdh+bRbfjxy6zhuZn8AL3Dt+OnYEdVGy7XV88w5DCjl1q88yFO0bTIcZ6S9MTt00C/eoCNyak88ylL/Bsm1L/N3r/xLfmr475jaHIA/GzzOTy5+K0trD7PfG/Li+pTNwRb1/pBTowQdRewMNEop4sBdSCdJSQuIFxeIzi0SJk0uBRFh4CN8n1Fnlc1EEaox7XKCX6RcChbZCbpYXMUmLw1CSBqRT8sayFMmRcA4ceKLyBfk2rA7nCKEwPMEg2lGtxYcVpCW2zVu7I1du91YCmMOR3oD6So9uorKtNaRzuMenAIITc5j6U3WygGedS+2AnqyzjPRKXa9V8/GnuEIk3eQdALUI4XAkualSyMSIJWkKPQr5rIfwOIslHTVCLDWkuQafYyIHhnJC9cUKUEbR9YaUUAz9pHCKd+FhFAoSmup/OlJ0oLCujx0gaAoNM3Iox75TLOStMp2jwIfgSX0FUvtGs3IZ5qXXN+dMExypGgcbk+1dQBIKdHWuPlTjlTs++OM33p+k1FaEPvu0jvNHTH2ga1Bcriueujx6Lk57r3NK3SGGd4PmBHP9wOaHXjyY25u8aCV2+ocKaS/EjgwWe/vumqs0U5kM798ZO100CZfXHXzn3tbjgCO+q41D444rpxxZDatbI8OsLDiiKaUzmAdjki2Kd385kFVc9A7Ioo3r7rt09q1wgXuvR94tLJneh3wQ7ePPd9VmsHNaLa67r2CEOYW3LzYtRsMBmMyv04RpYS65OrCefYHPjcnz/Hp536c69Uc5yfC83xm4U/ykeUnsatnudpL2U/HRP0tVk+dRzZPIQY3qA1HZI0unhKONOaapbrHai0iv/9+jO/anIW2tHxJoCTDtGAkAphbYWs6odjdBj9grhHRn+T4UmKANC+RVpOVhkkp6OU52hg8a2jFMWGgUEIihKXQgkJrtkfJYTtzezDFXXAFoQc2h7zabaXBEU3jRCeiikc8PteHtTyW3uRs0WPba5JXFU5lDct6xAeT6/xu7QIj9caVvjN7pbsHAQRKEHieu9mwEHgSgyUvjsjjayE/ZqeEuHUG8nh8e6EN0hzTKVbTMqU2RL7CIqgFHmlh8JXAWOtcErCUpSXwBUpK9sYZ7VrIfPPW80kbSzPyEUJQaoMQ7rvmK0FauNGBbi3kZm9SKdVddb8oNUElDPKkpB56bA1SylIz34o4M3/rTdP2IMFTggfXOodzn/PNkHr4CilrM8zwHsc7Qjw/+9nP8ulPf5qNjQ0eeeQRPvOZz/D1X//178Rbf/VAKUfq7uY4Z1k6luD5r01o08QJcw5I58H8ZLPlqrC3m9rXW9Xc55arOqYJYB2ZC0K3noXlW8VAjaarPL74jFu+0QKEq35qDV/zh93IQW/Htf6nEyc8uvCgm8+cjN02za84otrsHH2uRtO12Lduuoqt8hxxPhgBmI5de77UrtXfbLtlTl9w+2nrJrqzwM3EsrvfA+kzitr0aDCqr3LD7/PPfv/bea73eQDO+vP8lxf+LH9q8Q8h6k2Iakyykq1+QqsW4SnLnhQgQ8pzD9C9/CzT0Q7LZ9ZYqTXZ2tijbSbotfOk3RVskYMX0RUpStXICk1/nDHNNJ7SeNMxm0GXrmcZeRLPE+jUXTgNAjkesRvFbIkIbcqKRHhuXtNYjHRlp7zQSCGohz6duYBJWnJ1d0Qz9okCzxEODVHoXleUBq0NgaeIPEWS31kFm9cT1srBLaQTACXZki1W8z6rRZ+RWuGNYkY67y6EEGSFJivKw+qlLxXj8vUrsw9slKR05vACTX6MfB788ljLoQhNAKESFKWhXxbM1R1J7NZDtoYJWltXyaxEbEIIrAVfCHJt6U8ympUF0sF5HfmKwJMUxr2DxZJkJcvdGo3QY3eYMt8K2RkllNoSBW4OFGCuGTJMCpbaMUleorVBKclC886bpcVWxI29CSA4v3RynOYMM7yfcNeJ57/4F/+C7/3e7+Wzn/0sn/jEJ/jZn/1Z/sSf+BN8+ctf5uzZV8+xnuFdgkHPCXp2N9wvfaPlKodLaycr5o1x85eb1x2ZPJiRtMa1u59/2hHK421sKeHsfTDou5Z7Z96RvLJwIiQ/dM/f/n6nL7gK6vo19zprnQBo7aybtTTG2TMVpauYLq46UnkgxDoQEm2v32rxNOxXcZWXnfhIea7aunzKbbvR8IEPuxnSyy84oZJU7vHuApy7j3XZ5D9c3GF4/yO0F7sgFdu6z/9w+e/xuy/8KwBCGfMXH/gu/mbzo8SrF24RiA2TgsIYYlswjY8uSOncCsbzSa9cYjIac2GhTnR6gUuizVZ9CdNPEUJwZvEUD8srPJ+lPDdwFclxWmCmE/zJiJvtC5y1I6LdTYKgiSfd/OkyGRbLc8ES49JVTYUQhL4i8j2whsIYmpFPoTWtOODbP3EP5xZbfOn6Pr/w+WsukUgKxmmOVBJfSgqtGerc5XIrSVKYE4UvHT3Fs/oW0nlINhBMZcBaOeBF3jjxnOHuwQJZaSiPzeuWxsJrzHXeDq8inLXQQ2AptL7FfP74uo7/vTQCo0uEkOyPM5SQRJUN0nYlAop8d8OTlYbQk7QbIf1xRlpotgYJ2mq0MZTGEpaa/UnmUpZaht44d2EHccAjZ+fY6k8ZTB253OhNKbRmnLrIy9G0oFvNbAaex3JbkuuTjeWFEASeYn+cci+tO56fYYb3G+468fx7f+/v8V3f9V1893d/NwCf+cxn+KVf+iX+4T/8h3zqU5+6Zdksy8iy7PDfw+Hwbm/eDK+FnU147gtOBFNvOuK3t+UqkOcfcLnqt5PBwf6R2Om4MEdIR8quvghf+n04d78jsa2uW8f8Ejz6Ibj8oiOoRjsy15mDCw+452+HEI5MLqy4GcuD+daDbZLStePv+4Bb7/G4yoPX20pdXq9aYNvr7jO359z7D/Yc4e7vu4rsmXucwGnltFt/d9HZJyXTKmFpgbze5oXnt9hph3hSMPEMv3jjn/C/Xf85cpMA8NHF/5g/94Ef4uNrZ4i3v0y2v0dP1clKja8Uw2lGUKRYKcnmjkYAjLX0wja91Q+Q+JZ7H11lJYhoadgdpZTauESWeJUbv21pv/AiDWNILIzzKaVUvFBf46K/wrS+xAPpJgvpgLZIwVf0/RoX6wtshl2EdjnTse9RaMt2f0ppnaAjyUvSwlAPfV5cH2CMYDDJCH3J2W5ISxZYG3NxULA3KfA9j2mqycqCJC8RiBNtfuQJunZ77C8a4ZY5uGl4g5i12+8eLE7IA24/Z6VFvIG9LXBq+MhT6MqKyJijVKPbIXFfwaga/5BC4SlZidUsZWmYWutcF3zFfJWjPk4KkOLQjcFYS14axqlmqVNDV2b147TAV5Ib+xPOLzZoxgFrc3U+cLrL+cUm13ZHbPQSAk9xqlunFnoEnnRWvJHPQitipVPnhZs9buxPXnm/WTuzTZrhqwZ3lXjmec7nP/95fviHf/iWx//oH/2j/NZv/dYdy3/qU5/ix3/8x+/mJs3wRpBn8NKXnKL8QHQDjoCmU7h20ZHC29vmo4GrBN5uIp+nrjK5veFa2KOBq2ourMADjznPy4VKHDTsuflLP3CV0dcSSAlRKdtfAUtrcOPKyfnr/T332MKyI6DXLjlSs7DiyPN4CUY911ZPJk7Bfu5Y9bXRPFLrVxgOU0bTnGbs8es3/zd+fv1n2MucPdJ9rSf5U+d/mEX/ISIRoeoNbs6do//536NINyiiBhqBGQ8p8oLBw4+RtdwMxV6VkDJKS/qTjOV2zOp+wb3LMbVQcTY8mh8bTHO+3DzP3BNztKc94iRB55KLZcz6CPJJzkDV+YPGvUgGtJuWpW6TvqqxszOhG3s044BxWiCFpD9JGWQlRWmQEmqRTxwolBD8hy9v8LlLuyiTY25cZbHo0TAZSWlZJGIgO9z0Oi6P24LWFvsKhGQiA6wAaQ3mWAX4wKe/bjJeDhbf9PzyjHS+MzjIY38j+1sKd26owLXNnb2RvWW2E6rWuge+pwh9Rzrj0AdrCAKFNVQ3RiVFaQk9hbGWyPex1lKPfCJfURrrlPPSxW9GvuLsQoO00OwMU0Aw1wjIS0NaGFa6NZ44P+8qp76i2wj5wGmNNpbAU6hXII8LrZgr2yOMuZNgmkqAd1IbfoYZ3o+4q8Rzd3cXrTXLy7cKNpaXl9nc3Lxj+R/5kR/hk5/85OG/h8MhZ86cuZubOMOrYX/btb6XVu98Lqo54rh1807iyQmVKKPhxmVXNYxiRyiXTrlW+tYNN2P52Ne6x5U6Sht6q8gzVz0tc6da39lwWfBx3ZHL6cRtz/2Puc806DnS2+y410vpKrKt7tH6xgM3H9rqvOLbamN5evsP+OcXf5JL4y8A0A1W+FP3/AAfXfxmjLXsjjJUxac/P41onHuM5WSH5qgH1tKvLfGFUUQkFnhESLb6CVe2XRfA9xX10KNTD/jStX2Gk4wP3bt4S/Reb5yRlRa1uMoYdwyb1rK0N+HSC5sgCq7vjYkDRRTWKMKAXiqwuNhKiSDyPTb7U5JMY4ypLrBO2T5OMrr1iDBQZKVmrz/mgdEV6jvXGBCw7UUoIamXfR43PYjWuOQvvqaf47bXZF/WWdIjNlXrlnOpoVNKoVj3X3nfz/DugHiDpWVfOueCUhtKbZGIQ7P2vNSHjgcG99X1lGKhFZPkGiUFpnI/mGYlse/RqYekhcc0K8gLQ6YNW4MJ7SpNqBkHGGMZJjlKSBZaIfetdIhDZ3H0+DknEBqnRTU+YHnoVPsOEdLtcZcnYaUTM9eM2OhPWenUDgmqNs6ebKEZsdypvcZaZpjh/YF3RFx0+1yLtSfPuoRhSBjOzHLfNUgT90v/StXGqFZlo5tb2+1xw111yuJIjDMcOELX7jrC2mhV6oHQVRZ3Np2t0crpE9/qDcNal3V+5cWjbHWqz1JvVG1a6cYFVk65tjo4gqxLp7g/CZ7nntevLJa42r/BX/hXP8DPX/4XAPgi4snGd/Cxue9gLepirKE3LchLw73LLYZJTqkNtdU1RqwxKTKwYHyf9uaIKztjoq0BO8MMsHhSkaQly+2YVi2kKDXP3+yz1K5xz8pRNdcclIkqaGMYTgsX6ecrfCkp0VhclWmU5ATKWcEMJgWjJGd7lGKMEx1Nc02pNal1VRolnefg1Z0R7VpAY7xHc2+dbb/NqHTJMb6EideiWUx4IN1iXbaYyBDJnYbgByiEx5eiU3wwuc7pss9UBmgEdZNRCsVz4Qo7aman9G7HGzH8lxxERFpUpere6CUUpROfhZVLgxWAcZXQQhsKrfGkxFjXJvcV5KXFGHtoDh8FzjC+hkc/ydGlIfQlpXaxmlmh6TZcC/3CcpPQP/n37sbeGPkmU+CiwOPJCws8dWWXjd7k8PpnLSw0Q544v3CY4T7DDO933FXiubCwgFLqjurm9vb2HVXQGd6FeK32ti7Br90549ldcH/2t6tUIQnjPlD5cgrpYisPoDz3Xm8n8Vy/6uY0/dD5dUrptre/50YHHv2wa+nfvu1h7Cyc0sTFXN6ONHHPh/EdTyVFwt//nb/P3/r1nyQp3TzXh7rfzH96/vsQZZfeJOP6zojRJCTwJR+6Z5GHT3f5jee3aNWOZmGNf3Tzdc9yk7TQ5IVhMMlo1wJ8T1ILFZO8YPdmirEwzQt++enrfGt04bByUgs9pHBJLqU2XN4e0p/klKWphBE5ceDRinyklExzze4oISvdfJsQAl8Kus3o0I5JWEEcKJd57Qvy0jCYZvRGKQ/3N0g1mDBEaBedWRgQxjJUNU6XPVbMiEsyfE0/x12vwe/ULrBW9FkrB0gsLweLrPsdRzq/UjZhX8UQuN3+egnl8WN8JA67EwffQCEEge8M2MdZSVJojDUEStKtB2hjGUxzSu1mNnPtxi8iD3ZGBb4UZNrNB2tjGWelExlJWGzFxL6iEfsMpznjTBN5oK0zi3/ywgK+587rk4hnqQ1SSnz15uOHu42QTzy0wlY/oT916vduPWCpHb+uqukMM7xfcFeJZxAEfPjDH+ZXfuVX+NZv/dbDx3/lV36Fb/mWb7mbbz3D24F217W+0+TIe/MA1rg5z/MP3Pk6z4MHHocv/0FlRxS5yuh46Ajm6pk7RT5KuQrp24GycHOaXnBUyQRHcOeXnXho/dqR/+Zx1OpudODqRfeZj5Nvo13V9tz9RxnsuAr+//Tl/4kf/JUf5OrgKgAPdT/E937oJ4j1/ewOE6QvWGo7ta2Ugm94eJWPPrhCqV01Ub4CkZJS0qkHLLVifE+y2q0xTgqu7IwRQLsWoqRgmEh6k5zfv7TNR+9fYaEVEVcX0Gev79MfZ2SlpluPqNe9ysBdEPkKIRVRoOhPcwptKTWHF18hBP1xThTIQy3Pgfn1ONN4VTTmOC2plSmp8DHWJRRJHElxtjoSkETowzjE18JYRbyoVpx6/U0KiWZ4exF68jBz/ZVwUof9YKzx4Hw4Dls9b4yhGQW04oBJ7qZDQ6WoRR710MdTkjjw2OonaGsIfagFHtOsRFgQUuBJia8E2riUJCWd0l7gxElSQD30iTyFpwTt0FUbP/HQCi9vDXlxfUA98u/4Pu6PM7r1gLm3GF8ZeIozCw1mA2QzfDXjrrfaP/nJT/Kd3/mdfOQjH+FjH/sYP/dzP8e1a9f483/+z9/tt57hraLVdRXIKxerFrOLQDy0OerMnzDfefDaDnzwY26mcmejiqjUlYdm804SkWd3ktE3i0HPkdy5xZOfb7ZddTWZ3kIgD3Hufvf6rXXXlvdDl8c+GTsB0rn7Dxf9/Prn+d5f+l5+49pvALDWOMW3XfgBvu0D345SEm0M842Q/ZEjfvONCCkFj5ydI/AUnrK0agG9cUYtvPPrmOYlvlJ0Gs6PMPQULw9HYC3t+q0XwYVmSFZoLm702ez7XNsZc2NvzJdv9OhNMuqhz/4ow1hLoS2dmo/ynOXRYGKYVp6cgZJ4nsTiRBkHbc1W7JPmmtK4HOu80GRWu7hOIMGjbqbkhUGbWwlGYQzaaDIj31x2+Ix03lXcThYP1OKWI1GXoEoNeo2bBlu9/pivO8a69UlxtL4DBErgeRIpBJOspFMPadd8pplfpQ8d6eIjX9Gq+wwnrmJYao0nwfcFRlvaNZ9JqjFGozwF2iCFoD/NWe3WMdbSafg8eWGeMwtNTs83WKk6BOeXWuwMU9b3J8w3I+LAIy81vXGOFPDAagfvFSqeWaHZ6k/Zn2RYa+nWI1Y68SzucoYZTsBd/1Z8+7d/O3t7e/zET/wEGxsbPProo/zCL/wC586du9tvPcNbhRDOJP3il92s5EFFUkhHwB758MnE7QBR7KyHztzj5jo//5tHUZjHMRq4ZRfeJl9Go90f9Upzmr5Tpxt98vO1Ojz2EVcV3bzu1Pi+Dw8+5vxBoxobow3+yr/7K/zTp/4pFkvsxfzQJ36I//zRv8jnXxocznApKZlvRoeCBHchy6oKIEghOLvQYLufkOQlceCBtah0gi1LeuOS1bUF7llucnNvwtYgYZIUNOOjVBNtDVmhOT3foF0LeObqHrXIx5Mu9WWhFSOAorSM0wJtLKVxufGBkCRlziQtD0UV2roqbuR5mMo5sSgNgTL4SjLNSvJSU9zmb7MedDmVDkFrnDTkqDUblxlTEbCtGq87wWaGdw4nHZKgsiU6jrw0rzkmcbA+hVO1H3/weKVb4AzmrYWidDc9FtjoJ0SBoh55DKcFWhvSQlMeRKta8D3JYivi/FKL3WGKGKVVld212S1gSxde4KySNGlRkhfODP7JC0t3mLW3awEfuXeRF9YHbPen7I2yat404r6VFmtzJ//W9cYZT13ZZW+UHn6vL+khnUbIE+fnWWzdOZYzwwxfzXhHbse+53u+h+/5nu95J95qhrcTZQmXvuxsih77OijSSk7qQ5bBjZcdAT1pFvJ2NNvOS/PFZ2Bn3QmQwCUAeR7c98irqsTfEMJKNZ8lJ85ikk6dqOnV7JeimktFOnufmw1VHngeaZny9//Dp/jJ3/hJxvkYgO947Dv41Dd9ijPtM6R5ST2cMkoL2sfmNg8wSgqacUA9OiKOp+cbDKY5L20OSbc2WRys44/2MUXJI806p7v3UzN17ltt8VvPbzJMc6JAUVYq82lW0m2EzDdDplnJjf0p5xbqbFZVoVbkkxUlaVayN87IS02Sa8ZJSeQX+FWsYegpBIJRWhCFCikFRe5uFIx1/oxxIEhLNx7gKYGAw1SZLb/NetlmJe+zp+pMRYC0lrZJaZiMF8IVhmp2EX6346D6mWuLlBJRGcC/kcT3QLm2clIcUc/bLZHA3YeWuBz1OJB4SqCEu/FJM+1u6nyPKJBI69rlNrc044CHTs3x+Pk5ru2M+dylHVqxT2+SEvqScVqQlRqFQEpJWVoGk5zQk5Ra8/LWkDMLjTvsjzr1kK+9b5HBNCcrNJ6SdOrhK9okZYXmqSu77I8yVrv1w+WMtWz3E566vMfHH1qexV/OMMMxzPoAM7wyejuwu+3IpefD8VQNa50N0s7GLa3nV8XpC87GaPO6SxMCV0FcPeNmL98uNNtufZvX3SjAMS9IdAnjkctl9+8khnfAc4TTWsu/rOY4r/SvAPC1p76Wn/njP8NHT3/0cPEo8Di31OBL1/arpJ+jGdFpVpLkJQ+d6t4iUlBS8OjZOVb0iOn1l8gnU0yzQ7fToOsZgvWXIR1zz8Mf4vpCky9d77EzSJBSEvmK03N1zi810cby1OVdtgdTPAm7w5x65CElDMY5SVEyzZ0Pp0CAcKbZWanxpWSUFCgl0IczpwIpBcJa4kDhSUF/XGCsa18qJao5TktpXKv96fgsY3xWywFdnWCBkYx4JjrFpeDO0YeZmfu7C5KjdCBjLFKAp1wVUQkozSsfr+PHsl3zMThh2jR1QrNxXpIVR/TVzf6CtKCUu7nJS5d6FAceqYF6oJxYToASLiN9nArOzrsbscBTLHdi4tDNKE+yksEkd1VPCwUWZQ3aCvTUuTYstCKeubrHvSstzi3eGVEphKBTf32znFv9KbvDlLW5+i3kVArBcifm+t6EzV7CvSsz4jnDDAeYEc8ZXhmD3lGF83YI4aqJu1uvn3iCSx+aXzpq25+07rcKIeCeB107feumy3f3fNcyTybOPun0hde9ui9sfIHv/aXv5dev/joAp5qn+Kn/6Kf4M4/9GaS4c+brvpU2SVZydXuEweIrRV4aPCV48FSH80t3VoilMSztXoNOCPfdNobSaMLWDTaefY6BXWC1W2OUuIqqsZas1FxcH7A3Snlpc4AnJRaBp1zMZX+cMUwLsrzEWouvpEt3KQ1CWIoScmMocreNgVJM0pJm5FGPPPrj7FBscRBf6Cs3k+dJRU06FXxpLVPr81R8lssmpaYzSiEZyJhcnvxTMyOd7y4c5J4fCMAKbYl8hcQd3+PkUlIFf1XLq8rWSCBo1iPGSUm3HhAoSaEtni/oT3Ky4uioH6TUKtzIyME8qBBu9lNKwUIrZKXboDdKnQ9mN+bD9y3RqbuZZikE5xdb/O6Lm4yzgtIYpHCjAghBXmg8nEVTmmvCwGNvlPL7L22z0IreUjVyf5LhKXliRVRU4r2dYcK9x2zOZpjhqx0z4jnDq+A1aIE4QSnwenE3COdxNDsu1nLjmiOfeera6+fudxXWV2uzV9gcb/JX/ve/wj956p9gsURexH/x8f+C7/voDzCeCn7/4g7TvKQe+pyaq7PcifGUs1x54vwCp+cbbPampEVJLfRY6dSZa4YnK9gH+zDYdRZPt0NK0qjB3kuXqD8wz+Pn5nlpY8g4zWlEPv1Jxude3qYoDXP1iNJYBtOMUVoQ+JLAF+SVH6JB4FWzdMZYVwyuUkOFdEQgCAVKSiaZZpQWxL5Hux4wyQoCT6KNRRtLrg1RIIh9D1/BJMvJqrzEkYpI/BhrrZvrmzHM9wwO5jMrKSFFqVFKIgHlQ1oRRwN44kg8pEtTEVCIPA8ii9aWVs1nlJaUxlkllbo8FJ8dnBa5PkonUsKZtQe+YpwUXN4e4ymP1W7M2lydUVoQ+oqXt4bsjzO0tuyNU4oqYx3cnLIwFsTBSIhlMCmqOWZoxj7744xru2M+cKr75vfVayithHhtMdYMM3y1YUY8Z3hl1Fs4RYC50+8S3Azl6fPv9Fa9ftSbbnb03P2QpYA9mv98FaRlymd+5zP87f/wtw/nOP/MY3+GT33Tp1ipn+Kpy3tc3x2jpCDwFf1JzvW9EecWmzx+bv4wOm+pHbPUfp0zjUXurt6vQMgHhaBMU2Kh2UsKpLQYLFuDKb1Jji6hHQc8uNZho5+QlyUTUXJzb0wt9Ci0q2YKC1I6/00phVPpWo0WlthXaGuY5Jp6KJ0PqITFpiOz47RACUlhXWSmNJAXmrw0YC3aunas70mMhVbsM06OyOgM7x0cP2RSSpQEoy2e9AiVPpzrNbZSwOPM3QNf0olDWjWP3k5GfzJlrhFSaMtwWmCMxfcEZX7rOXGcnGWlYZqXnGvVaMUBq90acaBYaEZ85N4l/vdnbvDM1T20sTQiH2Msu8MUrZ39Uj1wowHDpKDUFjfVItCmxGLZHiQstmIWWxE3difcv9J+RbX6a6Fbj7ikh5gTLNGstaS5Zr45C0WZYYbjmBHPGV4Zc4vOUml/281MHv9hHfZc1XDxhDjNdxOy1JnJb153gijPc3Ofa+fuyGy31vI/P/c/84O/8oNc7l8G3BznZ/7YZ/jYmY8BzhPzys6Ilc6tps95qbm8NaIe+W+uguL5lddMeaIav8xSUiN4fmvCsHSEMVSKfpljDXQbAb6niEOPhVbIpY0p0XSASjN0orDaJ9eSKPDQxrU049D9/cBbUVtLo4oRrIUeq90a1hrW96dEgcIYMBxUtQQGnJl3JV/X1lILlUuSAZKidEKkN743ZngX4KCtriTVWIV0NxeeIBDOJcFaRziVkigBrThgpVtzBu5pTpJrpHA3MdYaCmOxr2Li6knXok4ywzjNWenWeehU16UPTV0b3fcUg0lOp+FEP4NpRqk1oacOb6bqgUeSDx3RVRKvukk01jJKCvbHKR+M5it3BvOmiedKJ3ZWZ/2ElU58LJHIsjNMacYBq91Xcf6YYYavQsyI5wyvjDCCBx+H555yQqIwdpXPLHFt6/sfvdWg/d2GLIVnP+cM42tNp1QvC3j5edjbgoc/7Ezygac2n+J7f/F7+bWrvwbAWnONn/qmn+I7Hv+OwznOJC+5vjumUwvuSBoJPEUz9rm+M+GepRbWWjb7Cf1phkTQbYQsd14loaQ958YDBr07/UetQUyGXLJ1JlYx3wwOL3DDJCdJS0ZpgS9Lbu5PUIM9Htq9ykIxoswLtBDcKEMuBkv06FCWFt9znynLtYu/VG5GTwL1OEQKGEwydkcZk7QgDBTTtKDU4HkCrQ3aCBfLiUAIF6HZqYcIIRhOcxe1+bYcyBneaUgc4Tw0fBfuP64VLpy3pnKZ6k6GZlBS0amHWGCzl7gbG21J8pJRkh1WSQ+qm25dlVK9el/XHbcIDHlhuLDUol0LkFKwO0y5sTsBLI+c7TKYFuyPM/ZGGbXQp/Q07XrI3iijP81RUuIpR4519UcJyXzTY5pp1vtT1rr1t5RGFAUeT5yfd12QvYkLZBCQ5ppmHPDE+flbrM9mmGGGGfGc4bUwtwgf/KjLUt/dcFeGtbOuavhuJp0ANy7D1obb1sMqYuxa8Dvr8PLzbN17nh/71b/Gf/uF//ZwjvMHP/6D/NAnfoh6cGulYpwWTLPyMJLydjQin51hyrXdEVd3xuyPUtLCMEpy8lKz3In5+IMrnFtsHhLHQ3ieM9d/9vPO3L7VqWyrUhjskdfbbBZdWr685bUHGev74wylJLV0yMODS8SmYFJrU9Z86hIeK0Ysjm/ymyncFE1slVF94Kkpq/m6UoM2jpjujTIGkxwloSytE4KIajZUODW7tS4DXimFLyw7gxRtDdZUudozfEVw3MD9zUKbgzFuQ+B5NGouJSgrDUpBqCRSuDlhbSyect6tWVEihMBaS+grljoxvVHK/iTHV27MozRVBKd086THjemFhChQLHdrnF9qII8Jd9JSU5SGtbk6p+YEW4Mp2hg6tYCNvst2j3zFcJqjhCT0XOvek5I4UMzVQ7rNkM1ewvr+hK+9b+lNVzsPsNiK+fhDy2z2EnaGCdbCfDNktVufkc4ZZjgBM+I5w2uj3nR/zr8B9fpXGkXuhEWN5p2tayHImk1+5os/y9/6xX/JqJrj/NOP/ml++j/6ac62z564SlFVfGxV5bsdB0bVz17rUWpnU7Q3ckkmCHjuZp/N/pQ/8sQZHjkzd8dM2KSzxN7KQ2QvPY+/fZWGL2m26oQrZ9izXZpB4QzgrYsKHCcFG4Mp28PU2d5YS6d3E5tM2GgsQG4hywnaMcHyKp38OvdOd1gPGxgjbqlGxoFHIw5Ii5JpVhAHIQKBFRZjBUJC4Lss6wNCwkGL3oBFU1YG4QZXyTLm7SFAM7w+HFeci+P/eJPrCgJ5qG4XQuArWd2sWHzPQwjXGj9oZRfacHNvQi1ylU4pBa3Yp1UL0aXzAi2NRUnDJC2rJCOnhEcIfOWU6FJKGpHPcic+NGQ/uNlpRC46c1hltmeFqQissy+6uT9xJNiTSGHItUBJQavms9SOqYUeZWnJCk0j9Dm7cKed0ptBPfS5d8WfqddnmOF1YEY8Z3h/IktdDGejfcvD1lr+141f4wee/Qe8PL0JwEfWPsJn/thn+MTZT7zqKls1n2YtYJjkzDXuVMUPkwJjDFnhSOhWP6FTCw/b2p16wGYv4XMv7dCuhZxdOLJV2hk6s+neRBEuPUqUjijzjFqzwSPnzqN3Rqx2JpQ2ZrufsNVP2OxPGE5cnJ8QgjYZq3rEnoxJ0gJPCnzPVaGu7Y0pqXE+mHDZz9gVNbS1jkxXVcyidG13KQWjpAAs9dDFFnpSUFYeiwdpRAcQlbL5oHqqOGrRzlrt7xwObofcvO4bf/0txFW6Sp6SzgIJLElVyYyUW1IKV30vjrXQc62JUWjrIlUbsU+SlSSFRkpBUnl6KuluWJR0GVfGQiCVEytVivY48Hh5c4iQkBeG5U7MuYU6X7q6z4vrfeJQYS0Mpjl7o5TzSy06NZenfnNvTH+S0anHNCKfeuSR5JppVmJxqvYnLyycGFM7wwwz3F3MvnUzvD+hFEjPiXVwqtKnBxf5vi/9DP9+9/MArPpdPvWHf5zv/MRfONGP83YEnuLCUpMvXN4j8Aoax9KHRolLOokDH20MG/2URuQfkk5w82VRoEgLzdWdEafn60ghSPKSp6/sMU6Lw8egjrVOgfvUlT1OzdfJteX0fJ2lVszz6/tc3RlSGIMQTtyUlClFlpPJhmuLS0Ej8qmFHr29DG0F88LQDhU6CCm0qzwVxqA1jCmQQtAIfJKiJPAk87ETTqTaoKthvDsqmBakEhQVG5UzC5mvGN6u3W4s9Cc5i83Q2RpNc7S1lMYQ+v5hVTMpSrK8JMVVPrVxNzHGGPJCM5jkZHnJMC2cqKhqqYvqJMlLZ1LvexLpCXSuyQzoUrOxP0UpQZqXVZSr4Rc+f50rO0P3vmVJI/Lp1EPW9yc8c22ftW6Nh8906dYCfvfiDrXQ48Jyi8CX5IWmNIadQcbpuTqPnnuXjwrNMMP7FDPiOcP7D7rKaZ9bgM0bbMuMv/rcz/GPr/5rDIZQBvzAqf+EH77/O2l89I/dmmz0Gji/1CItXOSey1x31i1xqHj4TJfdYcqljSH7o5RW7FNqpxA/bjBd8z36k4xp5i6cW/2E3iTj1Fz9sP0udEkwHXIazfWehbk63XrIdj9hvhmy009Jco02rhXuKYkQITkeoS0phUIbwzQrmVT57L7OGZZg/YDSGDwpkEqAdmr1mudTCzyMMKS5U/u6eTwnEirtyWIhDZhj/juvIlqe4V2Mw2onriI5zQqu5RqBi0iVUiKlqMhgVR0XRyMbTgHvnhPCuR4UWhP5LmwgNwYpJEHgSGAjdCrztNB4UhJ5ijhQ6NKy1Imcal0IvGbMMMm4uD5gVFXys9JijaY3ybEWSq3JCsv+OOX5m31accD9qy0G04LtwZR65KO1ZZK7yNo//PAq7drM5miGGb4SmBHPGd4/mE6cbdLWDSgKsiLhv77yP/I3t/8VQ50A8KdWv5H/8uz/lXNeF+597A0b2SspePh0l1NzdXaGKVnhxAyL7Zhm7HNj9wYXN/oMk4JJViAQRIFioRlTj1z0Zj1yX7uDquDeOMWX7uKMNcQ7N6ntXMebjhBW42mFKrZ58oMf5KlNeP7mgJ1hQqENtiKFEti3Hje9Fvfmu0xEQGkEk6xkZ5SSZSUdPWYn6pIEdYpJzqgoEViMdcKhaVaQFRoh3L+VUgjhWvVunk8cKpNvx4xrvjvxZmdsrXXtdGsM9qCCbZx/6yQtXTKQJ0lzt3YB+FLSrodkRUFZalTgURrLJNNu5lMIaqFyBFUJosAj8iWTrGCpGdOshy7mstScWWjw8OkuSVFycWOIJyULrZCNXkK75rPSipjkBaGn0MbSmxjmGj5L7RoPnW6TZJpa6FELPW7sTVjfn5LkrktxdqFB4EkubgwYpy5Bba4Rstyp3RJxO8MMM9wdzIjnDO8PjIfw7B9Abwcb1/lXvc/x/S/8Iy6lGwB8uHYPnzn/5/hD7Q84/85z98PqySKi18JBlvPtec6XNgfsDFPqkWtVR76HpyRJXrLRn1APfRaaEVJKWnFwNF9mLWmpmaQFnb1rtNcvov2QrD0PQlL0h3S3r7FwLeDjDzzJNC/ZGcbsjlI8KV3bsVIJvxws0tVTTpd9+jJGaEOsNWvS0A8a3GisVrnYLmpTVK1zUZlsl9ocJg15yjBJc7RxwhAppat+vclDNMM7DyFA2Furma91/A5EQIevr9wMCuPmd4U16CrD3VSCMimcGGm1G7M7koxTl3LlbLUMrZpPLfIpCs1gmuN70gUWGEvke9TjgPNLTUZV3rqxzt6rPy5IMs1iK2J9f0JpNL4X4nmKRmWxpJRgrVunP83QxjDXiAk6kq1+ghCCB9ba+EqilKBdCxhOc/6X37uCkpKzi3VCz+OlzQHzjYgnzs8z33ztVLMZZpjhzWNGPGd478NauPQc9Hf5YpTwfV/6af5dNce5Es7xqbU/xX/2yHcg184526LO/GumF70RaGPZ6E34rRe20NpwfqlJXmp2RynNyD/0tfQ9yWIrwljLucUmqrpwrvcSXlzvs680D21+mTIOqTWb+FKRFSU9rWgvLFNsrlNbPsVCs8bp+TqXNodO5V6VtCwwVDGfi87ydclVHso2aZkEKySDsMWL/jzrmYJ+6jw2K8ujA29Gp753/zc4QYdXpRC5CMK3pk+XFeuZqdzfORyIwWxFDqUQh6TydeHgxqR6iTVHIiZtQAqLFcLFUEYBceAhZUYj8llsRigpqAceSrloVa8pXdvbWC4stwiVpD/NOLPQ5L6VFl++0WMwzYkD54fZm2TEgatCltWJbitHCSkESVHSUD5SSlctrRK6wFkaPXt9H19J7l1pE1auDNd3JwSewhhDWVrOL9YwxrLZn/LU5T0+/tAycTC7NM4ww93C7Ns1w3sf4wE7Gxf5q+v/I//N9Z8/nOP8/nv/L/zw/d9JMymc6f3C8lsinNZaBtOcvDQEnqRdC5hkJV+8ssfFjT6XtoY0Yx8lFfPNiDhQ7I9zBJZuIwIDo7TgzEIDIeDixoCLG30maUG3HhLvbxAWKTdlTLw3wVOC/XGGQBD4kkIXdJ59juC+D3N9b8piO2aSFoftzoO26ryZ0iBjM2hxiQVy4RFKw5lkB6MNz9bPkVcEQlrwPImSgqzQ2MqbExzZjJXEU4JJotE4+xxdVVffKIE8iFec4Z2Drf5z0BrPi1uP2i1Kdl65GnpANpV0NW9jwVqDkgLfEwgriHyPA9MxTzlrsXroc2a+zo39CRbrrI3igChQSCEIPEUcOKsjIdxYSlZoFlouatbaA5oJvi+RCNK8IAuUs2IyrjLqErgszSg4sikTsD/OODNfJ6xa6P1JzjgpmG+GZKWmV81a10KPlW6Nm/sTtvoJ55feHpulGWaY4U7MiOcM72nkOue//p2/z0987tOHc5zftvaN/PTDf4EL9bWDpWDUdxZLb5J47g5TLm702RmmFNrgK0m3HjCqTOU79ZBOLWS+GVEaQ3+S061HPHRqjlGaM0oKdkfOXHp3mLIzTLmxN0YJwRMXFphvhvSH686aRgiu7o5QQrDUdtXNOPQoBzk3t3qsd8YUZcl8I2SaxoyqqqeUgprJeDDbIsNny28fCn1yJdCyxoWiT992eUk4v0Hfk8ShIs1de/M4+TAWxlmJL48JSA5MvqsFXWrNEQk9IKYHyx8o3Gft+a8cLK6i7UlJIYz70a+SiKJAOaGQtSeKwg5yzoVwYQVU5NEaiyclnpLOa1M4K6W9cYqnJEWp6U8L5uqBi1INPJKiZJxrJLDQapEXmqvDhDPzdaSE7UECFk7NNyrfTkEz9tkaJKhSsNlPsFUq0I29Cb4nyYqSrFBMpIuAXZs/CndIc01eGhrR0Xd+mOQoKRzJ9T36kym9SYanHAkOlGRnOCOeM8xwNzEjnjO8J2Gt5V+/+K/5gV/+AS7uXwTgydYD/Mzj38fXz3/w1oXLEqRyf94Edocpn7u0zTQrmWtGVeVIc3FjyEZvyofumcf3FEpJ8lITeIpuI6Q3TlkVNe5ZavH0lT2UkKx0Ylq1gGFScGmjZJKX/OqXblILPRZKwbKw6CpppRUHrHZrJLlme5gQjfuMZMxvvriFtbLyJDQESpIYgzGWhXxE06Tc9I7y4qVwSTC+pygKyWra40q941Tr2iAL0MZVso5zj0pPQnqMkRxoi+wxkioFKAvKE4S+IslKyoqJ3k5mZm32dxYH1UJtLNOsREioVVGWpXHnmpQCc4JoTOCOn6fAkxJjNVRt9UC5JKDCWIQUCCy68oKdb0au2jjK8DxJM/aJfMXN/QmmMFXCV8LpuQZnFhrUQo+itHQbIU+cn0cAz17vcX1vfDimcmV7hBSw2q5hK9/ZvVEKwn22Ti2kFnksNOPD7R9WLfsDMR9U562ApCjpjTK2BgnGWjb7AfONCCkPAiJmmGGGu4UZ8ZzhPYdntp7hk7/8Sf7ty/8WgJX6Cj957jv4zxa/AdVZvPMF44GLzYxPjro8Dm1cBKU2lnroEfqKlzb6TLKSU3NHEZqB7+yK9scJX7rW496VJrVAMUxy5hsRSgiUkPSnOUIINvsTHjrVpV0JknaHCVuDlCQvGacFzcinHwR0dACjHjJskBYlz93skWQlUmva0z5/UG9zNZnQbUSszcUMkhwhq1aogIgSKwSeJzC4IGwhXDU0Kw1CesQmxReWBNwMn7FV5vqdOOlRAZU/qaXU9pCMejgi81rXbSVASij0ax6OGd4EpIA4kGS5uYX4yyp7fVqJd7BOVHYQInD7wT5orxsDRphD0uZ5HkpAux5WQiBL4Hl06wGBp1BSMNeImG+E1MOApChRSvLImTlqoUfgKfZGKWcWGnzTY6fIS4OtTOMP2uSdeshGb8LOKHWCo7RkrhngKclWL3FCvLqbKR1nBUmhuXe1RTP2KbXrOAgheGC1wyQtacau6tmMfa7tjtkdpYzTgjjw6Dacmv767ojSWj5waubvOcMMdxMz4jnDewY7kx3++q/+dX728z+LsYZABXzyo5/kR7/+R2lu78DzT8OwD82Wu6JqDYN98H04faHqD58May039ia8vD2kP84x1hAHHp16wHpvylzjSMFeasOV7RFXt0ekheHm/sT5FQaea6WPUuLAo9CG3iilP8lo1QJOV0lFoyTn5v6UaeZSXFqxTxz6hHHAy9kaa9sXsaMttonQSEKd0TIpLwZzbHgdrIXeKCVQgnYUVMbubgSgFAp5QCYBhCMi06zAGIjLgqGoMc1tJSpyCmb9BkqRrrNqD9OJDpCVIDGvWtWUuMMQeBJrDOWsuPS2QgLtmk+3HrI3SisBmaU0oLAkudvnh9VqA0IezVHeDjfLaQ/FSVhLmpe0Yh8sh3Ocp+ZqdBsRcejRjgN2Ril5bvnQPe3DG5HjmehxoNxNi7GH85fH0aoFtGoB9xlLXhi6zRBtLOv7U0JfIoSPrnxlG7HPA2ttIt/jxt4YWblO3LfSQknB5y7tsD/O6NQD2rWALC/ZH2fUQ8ViOyL2nc1ZmkvyrGSS5W/vQZlhhhluwYx4zvCuR65z/sHv/QN+4td+gkE2AOBPfuBP8uk/8mkudC+4hU7VXWnm2iXYXq9eKaDVgXs+APNLr/oeV7ZHPH1lDykFnXqAkoJpVvLcjT7745T55hJFaehPMl5Yd7OevhIEVXu5UwuxQFJo5hsB/UnBZn9CpxZSjzx8KUlzjR9LdoYpxhqUkhhtUVJijMVTkmt+l4tijVN6h66Z4GEpvIDnw1NcChYRRiIlaOtUuPetdQg8Reh7KGno6SZT6VPTGRMvqgQhEq0NwhgCXXIt7h6SD4PbbW+E/1l7ZLdzUpXsOG4vpB0opJWQKAVlOWu+v12QwFwzJPQVk7SkrKqIWa4pSk1RVSzlsRuGg+N/O2LPJVEd2CUZC74EVbXYm5FHpjWNKGCuHrAzzkgLy1IrYjh1HYPBJGeUlHTqd85Va2MPZy1fDdq4EINuPWKUuHjYlW6deughhSAtNDf3J0S+4uvuX8Ja5xHarYeHRLfQludv9ri5NyEtSgrtyK6rsLrIzUK7G80zC0164/xQcDTDDDO8/Zh9s2b4imOUFOwME0ptCDxXhaiHPtZafv7iz/P9v/z9vLj3IgAfXPkgn/ljn+Ebzn/DrSuREs7dB8unoL/r5jqDELoLrykoSvKSF9YHhL6bzTxAq+Zed213zJXtEbnWThg0SJw/Z2EZJe5C5il5aNcySkuSrKRVC3j4TJdJVnJxY4C40ePsYoP+JCdQitBXZGimuaZbV+yPE67tjUlFi6u1Jg2T4ktLJkJy6TmbGGsIcAkyEhhOMsZpQV46r8SotcAonHKqf422EmzrgCzX1GzOnJ6w6XXY8tuVtQ4gBD6W8qDtLe6cy7wdB0TkJNz+8EmLGeuEKAjxpg3OZ7gTUoKtRkWyvHS2Q5XFUFk5ERxUnF9pHEJQnRdSEAgnFMu0qyxqgxvhMJZJrim1oVMP8DzFUuiT5LoyhVdsDqaMUve9vp14WmsZJgWPnJm7JdHrJHhKEvmS/VHGRn9K6Cnqx6JqA1/Rqvn0JxmTrOSe5dYd6zi/1GSxHbEzSFnvTZhmzqA+KzSDaQZAKw7oNkI8Kdkfp+SlnhHPGWa4S5h9s2b4isFYy4vrfS5tDkmyEqoLYiPyIVrn73/+r/ErL/8KAEv1JX7yG3+SP/vBP4t6NZFQFMPKmTe0HTuDhHGSszZfv+O5ZuzTqQd88eoeK52YWuDhe074Yy0kWUFeaHaHU9qNiLTU3NgcsNat88Hziyx3YqZ5eZhkdHVnjLFOkBH7HoGSWOsqLJv9KXnhstctgpGK8aoZPG0OYgsFwhNYC2Ho0amHpIWm8BXzrYh2HDCK7+GZzHIh32FVDylKQyJ9LoVLXAyXKZWHRBB60kUj5ppW7DPJy8O26t3sgFsgL9yQ4azT/vZBG+hPXZvYORRYtNG3kEwNhwf3gPIJcUQ449AjL41LGpLO5zVQUOpKmGPBWKdqT7ISLKx26igpKXTO/iSjXiUGCeGU6mvd2iFZLLVhZ5jSqQWcOeH7djukEJxdbPLi+oBpVrDYim95fpIWNKOAhWbMtd0RF5aaJ1ZR66FPfcl3Kvl+QiPymGuErHZvnfueZAWekreMBcwwwwxvL2bE86sZRQ57285qCKDZcS3pt9Fc/dVweWvIs9f3acYBc406Qgh66S6f/cKP8wtX/jsMbo7z+z76ffzo1/8orfDOasbbgbwqB8kTLlhCCNq1kLwcYqrqkbFQlJa0KFlsxQhhqYUBSgiyXBP5Hk9cWGChSkCpBR5n5utc3hqxO0yJA4WU4rCNeGquzs39ifM19J03obVOuFMakLh5zQMleVEahBQoCVHgEfsexkI98JBCIj3F9doyu7VFGnrCeJIzEQFZGONJSSg4zGAvjHuPpChdJOY7NHQ5q3K+/bBURv/Vv83Bg8eevx1+lWJlASEFUrj2t6ccWUvyEmMs2hqEhdIYN1tpJcZaklzTn+QoJeiNM0ptGPouFrMoDd26Exf1xtmhIn6uEfLo2fnDjsJr4fR8ncVWxPW9MbXIJ/IU2lqmaYmQglOVT2dWGLSxhwbyJ6FTD5lrhPTGGcudO8WGvXHG+aWmu/mdYYYZ7gpmxPOrFYMevPA09HY5ulRZ15p+8Alod1/t1W8Zeam5vD0iDjxacUChc/7lxX/K/+tLf5dR4eY4//Cp/yP/+Fv/K+6fv/eubovvSWcdZO2J5FMbw0IrYrVTY2uYUJSGVJS06wHdelhd7CSPn5sjuehm2o6LkQCWOzUCT/HCxoCi1GS5Zq4ZUpTO+LrUlsCTZIWtDLqPaIKhan8e/NuCOhB8SIGQgkbksztKkUKQFQasRYQBpR8xMAlSCGIlXTXIGjJrKauMdqg8GpW4xSbpncZX6n3fDnwlt/3293692+EmLQS+FOjqfLPWIoFa5NOKfLKixOBSrqQUYN35lhfajVwYw9ZgSui7Fnu3HqGUYDDNkVLgKcmTFxYoSickqoUei63oDVUUA0/x6Ll51ntTsDBOS4SATiNguV2j2wjZGSa04uA1W/dKCh5Y6/C5S9ts9RPmGmHlB6rZG6U0ooALS3fnBneGGWZwmBHPr0ZkKTz3FIx6sLAKqmpdaw37W/DcF+DJj0N49zKLB9Oc4TRnsRXxmzd/hf/qC3+Da6NLANzfeYTvefxvcKH+EZbitddY01vHYiumEfkMp/kd+eulNmSFZrkTc/9am9MLdZqxX1VMYpRwudQA07xE4EjgQfVHKZfUcuDteWauxun5Bp6SXN4esjNMeWG9R1ZqMlferOyNbq0KHs5UGounnCAp8hXTrEAJSEuDFDBOCvIqJ1EIaMcho6QgLTRCuIpVXhpHOIU79Fa7ypfvCYwVKJx46J1WnB+7/ZnhDeDN7i+LO78jX9GuBYzTAt9TLLR84jCgKN05k5XOkisMJNa6oySkwGgwwjJOCqfji32yUqNzJ9SZb0aU2nBtZ0yn7pKCtDHEgbrje/ZaOD1f596VdqWi9xBSEFX2S6U2pLnmsbMnt9lvx2q3xofvWeTixoDdYYK2Lnd+qRPz0Fp3ltU+wwx3GTPi+dWIvS3o7zlvS3ms8qAUzK84VfjeFqydu2ubYC1cHV/kp5/+FL+3+WsAdMMF/vwTP8I3X/jTGCvYG7lM8beK/XHKRm9Kf5LjK8Fyp8ZKp3Zo41ILPR5YbfP01X1KndKuucrJJCvpTzLOLjaZpAWlsdRCnwfXOry8NaQ3yvA8xXCa0W2EDKcFp+frvLA+oD/JqougJQp81roxC80IC5xeaLDarbE2V+fazojRNCf2PfbHGdOsILElqdUYfYJK3EKoFBeWmtyz2qYeejy/3sdO3WzaardGLfC5tjuiP8nZqaqgeaEpKnKqK7GIEiCsIAicyXdeaJS0lPrVLZHuFt7L7feD/Xm7xdTbgbtVTa2sPFFKMNeMXOY6lrTQ5GVKURqy0t0EBZ4g9DyMtRRlZckkBaLygF1pR3QbEUpKYt8jN5r5RkReGn79yxtcWGkRSEmhDVGgeGCtw/2r7RM7DCchDjweXGvz1JU9JllJuxZgjGWUFQymOWfn66zNvbZP7wHW5uosd2J6Y6doDzxJtxG+7u2ZYYYZ3jxmxPOrEfu74Hm3ks4DSOme29+9a8Rzb7rHX/v1v8Z/84WfxViNLwO+/cH/O3/2ke+l7ruoutEkoxb4b0lZaq3l0uaQ5272SAtN7HtoY7i6O2apFfPkPQu0KmPpe5Zb+EpyaWvI7ijFWksUeDyw1uae5RZPXdljqz9ltVsjDjweWO2wN0q5ujeiGQU8fs7FXj5/s0/sS4yFTi1AVrZML20O2RmkPHy2y1I7RgrBarfGareGEILL20OubA/50rUenpLEAka3MU9fOuHV6YU6S90agScREj72wBLT3LC+P6EsDRY3+1kOUywWwVEGtq4U6UK4P0oJaqFHLfDQxiJLjS8FpbUI45Z5NRX7DEdQUiCtPUxtequ7THJEDu8WrAVfusSt2FcU2jBKcnzpTpBAObIohKDUGiEknicrKyQwSLS2dBs1WrHv5kWtZaEZEfqKq9tTGpHPWqfGNCuZpAX9ccZvv7BFoCQXTlChvxLOLzXxPcnLWyN64wxjLXHg8ciZLveutAm8N5ZMpqRkoTWrbs4wwzuNGfH8aoQ1r2qmTjUH+Haj0AX/8HP/kL/+q3+dftoH4GsW/wjf/zU/zrn2PUfLlYZhUvDYubkTzaVfL7YHCc9e3ycOvFvUsNpYNnoTvnRtn6+7f/nQT/DsYpO1uTqDaY6xbh6tHjqRwRPn53n6Cqz3pnhSIoUTGj242uGxs/OszdX4nRe3kELwwQuLXN4eMZxmh4QtKzQ2tjxyZg7/tvm2swsNLm+P3JxcoCi1dvY3B8bbEppxgKxI4CTTXNkestXzqYWKpU6NxVbEI6e7JLmm0AZPwc4wYZyULLUjIt+lKu0OE7TWKJxVTSP0WWhGeJ7E4tqmxkKgBNlBfveMdL4m2rFH4EmmmcZWSTwnpFC+IdztCrAUVIIyzcb+FM9z1cpzC02khFFa4km4uT/FGIuU0hn/A3mh8aVEVST0nuVGpaQH33PeoS/c7JMVJXHo8cJ6n+G0qGaXLZO05JefLvm2j93L3OtsbQshOD3fYLVbZ5RU39HAIwrcZcxae0iSb/+OzTDDDO8ezIjnVyPac3DzylFw8XFY69Tu7bc3Nu4XLv4C3//L38/zu88D8Pjy4/zUN/4d2uYxbu5P2BkmBJ6ryuWl5txik3vfQDXkJFzfG6ONvUM9q6RgqR2z1Z+yN0pZah+RUk/JE2e8WnHA192/xFY/YWeYuHzoesBKx818DpOc3VF6GOP30KkOwyR3ljPgMszzkrKKCDLW0htn7I1SLm8P6U9SbuxPyApdeWw6da5SgnbsE3gehTEUhWF/mBIFioWVmNB35vNXtseMmgX3rrSc52EvrQijZZIVTPOSWqBYaMX0Jpkzs1fKJbYUGl1Fd5pK2BQGAbku3pZRh7eCA/pwOwn7Sol5TvIdleBuGIwF6VruVrj883cjZ5c4oZCSEPnKjYQYi7AumKDQhprnoYRw/rBxwCjJSfOStHCj4AiIfIsPdJohk7TkwbU2l7ZHPH9zwCDJGU1zAiVIc0McKi4stYgrklgLS7YHCb/94hbf+Nipw8dfD5QUt8yIWmvZ7Cdc3x2zP3a+nIvtiDPzjVu+2zPMMMO7AzPi+dWIhRVotKC3A3O3Jfr0dt1zC8tvy1t9eefLfP8vfz+/+NIvArBYW+RvfePf4rue/C6UdERzba7O9b0xSV4y3ww5M99gda7+lqoWpTbsjbJXtEUJPEcURknxui9Ogac4s9DgTBV9efv7Dac5aaEJlHTRgTWnej/AjYoI9ycZX77eY7035eWtAYNpTjPyOT1XQ5ea7WGCNm72NA48jHFzl7k2rqKDI7Jrc3WmWYnvSeLAY2+UIgVsDRKmaYGSro0+34zQxrjZzao96SpyhlI7C6h+kmEMKCFcoguvXhR/I3grJvG3F1xvPyPeaWJ30ucQAtIq/9xU5E2bVzdqP3xt9efAuP9uEGpZbYet/u6Oq3UKdeGq6WmuMVgaoY9SklroLLr2xymhJxkLAcK5N3jSRZ7KqrK42InY7E95cWPAJCsJlARrKa3BEx7TokRJQW+SHRJMXzov3L1xxkZveqLx++uBtZaLGwO+fL3n4jMjH4vl6vaI9f0Jj5+b59xi8+3alTPMMMPbgBnx/GpErQ4PPu6yzTdvHKnXsxTqDfdc7U5y9Uawn+zzN371b/DZ3/8s2mp86fOXv+4v82N/+MdoR+3D5UJfcX6pyfml5ivaGb1ZvJ6L+NvxdqOk4Jmr+1zbHVeqXR9POrHCucUGoa+YZiWhrzDG8gcv77I/cekooyRHCcHOIKE/zZ2avOrRZqXzBA19Z/dijUUKWGhFeFKy0IwY+QVbfZclHwWKl7eGTLKSYZpTakuhNTf3xighEcIyTjVSOYGRNobcQlJqyipDsxYoVrs1+pMMT0qs1BRvoecrOEjUeXOE6g5xFUdzp+8E6TzYfm3AExURtiCqz2Rw3pmTXNOIPEKl6JfGWePbI6L8ShMLgiq3vrK38qSg0PZtnak19iBnnaqaLqmFCt9TCCx5oUFYfCnwPel8YoWr8idVLrvBuTZgBZ4SBJ4jpwvNiGYcUgslV1/YdklCdTcWEviKsjQMkxxtYTzNSRshke+RVC34ZuSz0X/zxHN/nPH8zT71yKMZH3U2WnHA/tjd4M01IprxO+vLmZeazX5Cf+IqsJ16yHI7fkujQzPM8H7BjHh+tWJxFeIG7Kw7E3mA8/e7xxtvvsVd6IJ/9Ll/xF//1b9OL+0B8C0Pfguf/iOf5v75+1/1tW8n6fSUZLEdc2lrQPsEo2pXmVQnPncSDqqFnpK3bGdWaJ66ssvOMOHcYoP1/anz9rSW7cEUY41rf49Tzi026U9de325E/Frz64zTAp8pehPc4ZJgTUGW1WotDEMpjlhoKgHijiU5NqpilWgmGRuzm2SlWz0pgjh5joDKVBSIjAYIymNITMF+kClXG27FI5M6UrD5Kqczqap0BYh3byerjwbXy8OyJaUR3nwgQdYQf4W28/Hk3feibjNQEHge+RFibaCQDn7HoTASCfAAigNjJKS0HcZ5Nocfc6DWcrihM9ucLPCvpKEyqVJjVLtzjVxZAr/ViGFOx6+p7DGmcO36wGTJGd/UiCEpR76lNqNYLjcI+ctm+bOx7YR+vQmKbXAryr6IbVQsTNMmWYFUeDSgM4vNFFKsD1IuLozwpOSUmuSQpAXBincOM2ZhQa+kofjJ28GG70JRalP7Fp06wE39iZsD6Y04/YJr7472B+nPH1lr+pAuN8KYy3zzYgnzs8z15gJmmb46saMeH41o9GExoNw4cG3ZXW/+NIv8slf+iTP7T4HwKNLj/KZP/YZvumeb3pb1v9GcWa+wY29MfvjlG49PPT4K0rDziDh3GLzlmz2kzCY5lzfHXNzf4wxlmYccHahwdpcHU9JtvrTQ7W7NpasMOyPUgJfEYceN/YmaAP3Lje5f7XN5y7t0Ih89kcZvXEOFnaHCdMqqk96Hr6STLICa52YA+EqTFJKiiwHpfC05lef3SArNGHlZzhNSyZZzpn5BlHgcW13DAKKUrsYxNuqjtZCYY+1YoUzBN8bZXgSsoLDCM03AgM46iIOU2S0sYS+QtvybVPJ323SKQBPKcBSi3yyXFNaW1WA7WGbXApHDq11+5oq+afQR5VO/SofWFuQxiCVRFuLFM7E3VhHFhWvv8KrKim8sbe22I3lMDkIJarKpyPDWalRWHIlSYuSlW4NgSAtXZW+P06RMqDbcEr122MrBTBNSyJfUlY3LALBXCOiP8lZ700oc3ce9ac5TeuzNldnsRWz2ZtwdvHNd1f6k5zwFeZDD0RGw6R40+t/o0jzkqcu79GbZKx264eG9tpYNvtTnrq8x8cfXD4URM0ww1cjZmf/DG8Zz+8+zyd/6ZP8m5f+DQALtQX+5v/hb/LdH/puPPmVO8UWWhFPnF/g2ev73Nib4CvpCICAM/N1Hj0796pV1t1hym8+v8mNvRF5eaCWFVzcGPD4uTmeOL/A5iDBUxIlXe75fSttdushO4OEwhiUECx3Ir7m/qWquuPMuF/eHrE/ShmmBebQtshRKd87MIcvmW+FrHbq9Cc5gSfR2pAUbp70QMHrScFSt8augMJoMm2YjLNqxtAlxtw+dqDEQUVSuGpnpWA3xpCXJUoJ4sAnK97cRVvjjPCFcEKW0liangQ8sqI8JGXvdpTG0oo8isKSaWe8L3AErzRHrffDVroBz7NOgFPh9ZBsJQWecCMVSrpqY3mwjleYFVXCkcsD+yYlXSWz0C46MvAkfmWHpKpeu7UWYyx7o5Qk13ieIPAEGJdIJCwMJzlZrsm1U+cXpcXzFHvDhGFWEIcejcrtIdeGSVY62y7hqusHN3i+kpxfbFCUmt1RRuQrTs/XWe3WaNUCxklB4CnWuq+d2f5KOPhOvBK0Ne+own2zn7A3Sjk1V3dJTxWUFKx2aqzvT9jsJ5xfms2dzvDVixnxnOFNYz/Z58d/9cf57Oc+S2lKPOnxl772L/FXv+Gv0ok6X+nNA5xVUbcestWfMkrzwyzqUmuevrpLPfBZ7sQstOJb4vZKbfjNFzZ49nqPoBLvCNzcZVJk/N7Fbeab0bGLuoPvORP35XaMNpadYcJat0499LHWEgeKZ67ucXG9T1IYjHEpRKW2SAlGW/aH6WGE4bWdCTv9FM+TrLRjpDxqMAfKeSpOspKb+xO6jQhrLElWkuQljTg4VNXfHoVpcaRTCHHo/WmBaWHJdY4SzgvUWNeOL94ES7RAru1hr7jQBmvNe4Z0yirpKc2qVKmKYCrcbLLO9B2zmwbIyzf2PgLIjaXMyyonXRIpQWJLTuJUB5VWY935dnDD4sZAquhX6dr2CGgEjiRO0hJr3Q1OaZzbQWgVoacYpyVeqQk9xTQvyUqNFK582q2F1AKPZs1nf5JxbWfE6bkGSVGyP85Ico2vJP1JxnwzJMnKQxuy0HdWZpOs5P/P3n8FyZbd6X3ob621bfrKssebNuhGAwMzGEOOOJyhAUSKE1JIer4PMhQpyoBi0JMjckiKwRCImQjySSYUvFLwSgoppAiFbnDEIXmHdoZDYOCBbnT38XXKpt9+r7Xuw9qZp47rPm2AbgD5RTTQXZWVuXNnVuW3///PnB+23TRVCO6PEzypeOXSe2sK2h20uNVoq9UjucRl7XJHv59ZnafzHF/Jh0jnElIKPE9yMlsTzzV+tLEmnmu8Y9SmXuk4R9kIgF948Rf4wme/wIubL34gx2StfWpdXjf26cZ9Km34+q1Tbh7PwVp8T7JfJ7xxMOXabo+PXR6uOqT3xwnfvjMm9CWbnWh13218srLmZJ7zjTvjRteZPPaYsgnYro1dGRuWpGJ/nFAbSzt0a1xtLEJY5yxuiIYQ0Ik8EIJCG4pak7cDntvrcfN4wek8wxjrVrMSytp1vFdakxS1i74pnUnk7LxzGUpubEMKn0ABawM1QKnxlPuwrN6Fw+jRKWu6JMHv+J6+/xA0fNnCotAoCb4nsLV1k+vG6PVeTE6NCgFPSaw1tKOAfuxc5Z4UTLNqlZSgllPPRhKxTB0Q1tKOPIpGTlFp43Jmce8NJSStwGO0yCkr7QoZlKQdSQJfMlmUGAkbnZBWoMgqDdpgLbQjj92NFsNOyP4o5WCSsdmNuD9K+M7+CE8qlJJs90LKypCXkrI2TjoS1fhSkVc1SVHxk8/v8GNXNzmd51jg2k6Pi5sdtt8jKdxrWsjuj1O2ew/MO1lZczzLubz93h/jncC8xd8hcBd75p1qV9ZY44cMa+K5xjvCr77+q/wX/89/wbeOvwXAK9uv8Muf+2V+/3O///t+LMZajqYZ904XjBclnhKcH7Y5P2w/MUbpjYMpbxzM2O7HRGfcpXlZ8937U1edeX4AuOijaVZyftgmKzVhIFHCkdI48FBScm+04DPPbXHzSDFLy8fyQseJa4BJ85qv3DxBScHxJGXQDjmc5lTNJFA0GsHlytRXznkc+gopJTGWeVoxmZecRBmTRU5RGow1boIrBXVdcue4xuI0rACVMS4LFIFs+hzNM7jLlw5ohKXULhronRp5lhrC+sye2RjnBn/qz7zDx/hewj7y70uu0CysnUv/PZBOTzUaUunMaoEf8Pxeb1XNen7YIU5ytjoRB9OEwFOuHKCuqY2LI9roBCBczuvpouBomjUyALeqLyvLZs+9V7VxLnNjnfnJ91zveuRLCm3Z7ccESnL7NMFamBc1ceByXiWCq9tt7k9yIt+54Q+nKTvdiNhTFJW7wNnqxUySkpN5wcXAw+AyQD/z3DY//tw2k6QkySuK2jSJC86wp96DqTD0FZ+8usU3bp9yOM2aRAhL4Cmu73b52KXhY5PQ7yWGnYibR/MnXghbaylrve6CX+NHHmviucYz4dWTV/kT/8+f4P/+7v8NwGa8yS/9/C/xh3/8D38gOk5jLa/em/DqvQnaWtqhR1FbvnLzlNsnCz59fesh92hRaW4fL+jG/kOkE9xKuRP53DpecHWnS15qvn1nwmheuMYWIQh959jttXwETuuZFZqtbszLFzb45p0Ri7yiE/tgYZYVK8f6a/enKCmYpCU3j2b0Ip9W4JGXFUXVmFEklCzNKrJxQRsiKenEIXmpmRcVd04SilpTG7OK4KkachdiaIc+WruvCdFM7nB6S2ufkdg1t6vqBwaVZmu7ihB6+9eH1WRnSSgNoN7ihz8spHMJ1ey0tXEXBqLR52KdhvNZj/dJsV61dvdfWYNE0goFYaCYZxUtFwFA6HtMFgmt0Cf0Ff12wOksxxjLsBNybthmkVccTlyhQSf0V8S+GwdY4y5CsiLHGksUuLSCyPOoak1VGxfxhUFKF5fkKYGxkrBx5Y/mOfOs4sKwTS/2ubDZRkpoh65OdrQoSEvNsB0QeIrNbsWt4wW+kvzMS3uuytKXfOXGKQfjlNBX+J7k3ijh7umCa7s9Pn5m0/Bu0I19furFXUbzgnlWIoSg3woYtIO3nD5+L7A3iOm1Ao5nOdu96KHHP57l9FoBe4Nn75RfY40fRqyJ5xpviXE25pd+/Zf427/1t1c6zv/0J/9T/uLP/kU24o0P7LgOJxnfuTehG/sPTTc3Opb745Sv3xrxMy/trT7Q5lnFIq/YHTxw5Ja1IckrbDMFWuQlh5OM796fkhQVgSeJfA9PCfJSc3+cYmnRb/kkZc317S6ekjy316MT+9w9XXAyc6aeQTuiqAzDjgtvP5plTBYF07Ti3mlCbQx7vRZZSzNeFOSVc5JYHEmsAWUsoSfpRB6ThWCeG4qyxjTrOhe59IDS1NoFzbdCj7SoHTkFrDXvaJpozvz/2VBzCbxTq9FqRdxAP/2mHxr40ski6mZCvISxzsBjcGHqzzrufNrNmqIjhHKmnySvKWvDsBsyWhTkVU2pDXmp3QWKtcyyCikFZpFzMMmdFhOIQg+lhJuqacs8LRn2ImQNSVHhKUEceOzGPoNuyP1Ryjyv6LdCFkVFXhqSonIXKsathLPS4CtLXtW8cTBtXNoSEGx0QkQTG3V+o7Uy6fXikHMbrm621IZBO+C3b5xwf5xyYdh6MH1su0izNw5c3Nm7zfFcQgrBVi/6wLvX25HPJ65u8pUbp9w5TYiD5epf04sDPnFlk/ZTSi3WWONHBWviucYTUZua/+ZL/w2/+I9+kdPsFIA/9OIf4gu//wt8ZOv9iV96L7hzssBa+9hKXQpXh3k0zTiZ5extuOnCcvpnrSN29ycph5OMvKrdOlG4lWcvnjJa5Lx4fsDJPCcpXNWkUoKq0hxNUqo6QCJ45dJGc99ipTWrtNvBfunNE+ahT1lr3jycI4VrVRm0fEaLHF0bpnlFN/LoRB7amBXBM80Etxv6VAYOJ+nKZJJVmsBT+EqQV+YhUqOt+/5m5BP6kmlSkFdOy6qUcEHhvLN2nGVcEPAQCXtWmHfwWB80VtFIBqR0ytizMBasBiHeecTUk7DM6AyFZF5UvHpvQifyqXXITj9mmpYYA7OmWMBTEHkKK6AoDaXWVLqZapsK3xONpte5yyeLkq1eTM86w5nX9KwnWd3oSiGvKnTTjKW1I59R4Lu8UmNXprpR6lb5H788pKoNrcBjnlW0Q/+hZAjb6A+2ujEns5zbJwvuj1O2utFjK+/IV0SBx63jOZe3Ou9p6vlhwt6gxc+85HN/nHA8ywHY7kXsbbToxc+WG7zGGj/MWBPPNR7D33/j7/PHf/WP883jbwLw0e2P8suf+2U++9xnP+Ajc9DGMEmeXofpK9kEqz+Yz3Vjn04cMM/d5PP28YIoUGy0Q6QQnC5yFnnF12+dcv1cj14r4NpOl6/fHnMwyVarbZfVGfHTH9njxQuPT3x9JclL5/YNfcmNozmBL1fxM3Ho4UmB8iVpUVGUNa3QZ9AKSPLaZTo2n+NFbRr9pms4ch3bLtvTuXgdEVoFlQNBQzDLWlM2YfFFbfBlY3h6BwHuq9adJqPynfLOZRblhxmPOv2XYe1Pa1o6q/d8PyCB0JdU2k0Ai0pQa0vkK4Y7PbpxhrEuHcEYQa8dIIBxUiC0QGIbGYNFSjddq2qDFOArixSGyFcs8ookqxBNvEEcuOpL16jlNe8pRakt3UhRVK6HfVkBK63796NpxtXtDvO8Ypa5VqOzSIqaKFRs9SKOZxnTpKSo9GPZn0t0Ip95VpKVmm78w0E8YWloHPDi+Q/6SNZY48OHH57f9DXeM147fY1f+P/8Ap/9nz7LN4+/yTAe8rf/wN/mq3/kqx8a0ukgmtzLt2YAZ/VVgae4st3hdF5w+3hBq8kilEK4Okprub7bY5aVLDK3cgyaD+QoULRDt9L3PWf62eyEqzUauPgl3YwEHTlxhqCsqJ2TuEEc+PRaLsxeG4vnS2f8kYJ+OyD03M8XhWncy86EgRBNoLnrX5dCujglJfCVW2kLCZV2hDstNPWZ02Osa89ZBro/C8wj/7xTfJ/lde8KLlbqyV8/C8nDfyzfr6cmJXieZLMbEgcenpKMFgW3jhccz1ICz5E4T0nySjNNSiZJuTLmPDjHD+QXQjhjWVZq7pwmzNOK84M2nudc66OkYLQoXSUqgut7PV66OKAb+QzbAWnp3m8b7ZCgievSOJK4t9Hi93/iEs/v9VnkJfO8XE1Mp0227DLDUglnYoKn/64uNdRPSB96Jrjn/CG/ulljjTUewnriuQaTfMIv/fov8bf+5d9a6Tj/2E/8Mf7L3/1ffqA6zqdBScG5jTbfvjdm0H68eSgra0LPTTPP4vpujxuHM17bH5OVFafWfVi3Ao8LWx0uDlvcGyccTlK2exGns5wrWx1AkFfaRcPkFc/vDjiYZhyMUzwluXu64HTuOpl3+jEXNtv02wH3xikA8gxN8ZSrXYwDD9+TdKKAi5tt59AfZxxMU+ZphcWyyCpHdgT4SlDUFl1qAlWjpCD0A0RRNXmFzhWveTwsfpn5WNRuSvpOVu3vBI897juTQn5gWB63L52cwOBIpn70RjyYKtfGrlII3s1jNXysuXBw74PaQDfyHRluclSlkI3eU2ON0yIHvkJVgqoqVzpRbSx17dbxSgoEkkprQBCHHu3IY7MbMU4LsqImrzTbvYhO5LPdjZBCkpQ1vpLsDVpua4Cb0Ls1ufude/5cn2E34qdf3GW0KPjm3THWghKSduSxN2ix2Q05nuUMuxFXtjvcOVkwz6on1tPO0pK9QfzQxdnbwVjL4STj7umCcVKgpEuzcAao9Sp7jTU+7FgTzx9h1Kbmv/3Sf8tf/Ed/caXj/Dde+Df4wme/wEtbL33AR/c4rLUuyBu4MGxx93TB4SR9KPw9rzTHs5zndrsM2g9/CHlKstmL8JXLG6xqFzodh66ZWgjBdi/izknCaJ5T1Zp+K6bWhnlecjLPEQiOFxnFWDNNCnb6LRfSHTrC8MbBjLujBdu9FjTxKWcReK5MUgpB5Ck22gGbnYh5Vrl+dODCVotaW4pSUxnrMiSVZDTPySvDPK/wPUmrKabUloeCxp9E9Fb6Vvu9I56WB2ai0JcoKShrF1b+YV65G1xI/vLfLY+boM4ef1G/t7755eNgWU2+TxcFtTZ4UuB7itBXnMxy995LS8pKu4YsAVobtLWIZVcny9pOg7JuirksIIgDj14cUGnLRlsxaPcYpwVJXiKFZHfQ4iMXBlzd7mKN4bsHc843umhtLca4tqa9QYvAVytiFwUev+fjFwg9xWjhSOZGO0Qby9E0R0p4/lyfThRwZbvLN+6M8JRYBctba5kkJULAlZ3eM7vPjbV8++6E1/YnWGtpRz5FZfjGrRF3jhM+fX3rAzcYrbHGGm+NNfH8EcWvvflr/PFf/eN84+gbALy89TJf/NwX+def/9c/4CN7HNZaDiYZt08WjOZOrL/RCTm/0eZomnF/nDS3cxV613e7fOzy5mMfZkle8ebhnEpbLm12CDyXU5hXmnunKRZck1E/5mCSUdaGUhv2Rwkns5xWqLg47NBt+dw6mvOlN0+4uNnh+k4PJVyuYr8VcDrPGc0zXjo/4J9Mc/ZHCZ3YRxuLNoZrO11O5jk3jxdsYpmkBbO0YJzmlLWhqNw/Va0JA0Ur8FnkJYHvUZkKYyx5aSgrg+fJt137ioZpGkAYt959N0YhePuszSUhM8ZS1cbFEL27h/q+Ytlt7isXdfQszxEePLdnJaKr2zXVmxIYLQrnTA88RlWBFHA4TfCkpBX6JEWNMVBhSEpNFChXHtBEHjWRqwRKIKTEWhdyj4ROHCCkk1kcTrMz4feCpKh483BGL/b5zPVt/uCPX+H//euv8dr9abO+FkS+Ym8jRkhXQXs2FWLQDvkdL+3y6r0JR9Oc/XGCkpJhJ+SFc33OD10V5gvnXHnDraM5o3mBFI4Yd2OfT1zd4tzGs8cLHU4yXt2f0I/9h9zhG+2Ag0nG12+f8q+9fO77WpO5xhprvDOsieePGL57+l3+xP/zJ/i/Xvu/ABjGQ37p536J/+gz/9EH2qv+VnjzcMbXb4+wllUL0EGzxn7+XI8XL/TJSo0UgmEnZKMTPrGD/d4oodaGvX7sTBOeQgi39nY1fm7F/rMfPccbBzO+fOOU42nGeFGw04sY9mI6oceiqLg/Tqlqw3hRcFctCKaSbhxwbbfLsBNy9zTh+XMDfv5j5/nSG8dY6z6oh50QXwqyqqYVSE6nBaNZSVHXxL5Cm2V8jovWyauaaVKCaCoypcAKgTGuXUZY18mtjG3aixyUaILpmxHe8usaUO9yXHc2VulpxGw5Gay0/b7kcp6d3r6XSa6nBIEvEQg8ZchL80zH73S3PHMN6FI6Ya3T5Ba1ceHuStCJPbJSuwuLXKOkpRsHRL6Hta4C0pF5i9FmRVyXx+kIpaEdeUigNLDVjQBBUrgazO1eTCtUqz73YcfFfn391int2Ge7F2Gt0ywHvmvWGi9K4sDj5z52oZnYP8Cw49buk6SkqF115qAdPORg95Tk45eHXN7qcDLLXT6tr9gZxKsJ6LPizskCmknnQ69Ds604nGYcT7MV6V1jjTU+fPhwMo013ndM8gl/5df/Cn/rX/4tKlOtdJy/+Lt/kWE8/KAP76mYJAXfvjcmDryHNGJLN+yNwzk/8/Iel7feuvvYWsvd04RBO6Ab+9w4nDNaFLRDD9mEtY8XBS/s9bm+12en3yKrdKPjdBFNAkFRa/ZHKUVt2OyG+MrVBg67EeOk4MbhnJcubuArySIv+eilDbKy5tX9KadzF9+ktUEg+ciFIdMk42SeU9aOcFSVIas0WluWYUkCUEKQ1IY4UHhSNOtWR/DkUxjP2X72R6d0nuQtNYpPI3GB51bDnAmSFzz+OGfv+nu5ZT/r6H+3RFcCYaAIlSNk5TvQBbj4K3c+n6VVVDayCc+TYF1rVugJhJDM04pW6JPpqrloMCR5TehLAj9EayfvqBpdReQrp++1NE1ETutZ1K5I4FwvpBv7FKXmzjwnUKKJizKMk5xW4HFlq8PuIObW8RyE4OpOj2u7PUaLwpnsBPTO+WSlJi+fnMIqhMv1fCsIIRi0wydqsp8V2ti3TLNwEVGWpKlmXWONNT6cWBPPH3Joo/nvvvzf8Rf+0V/gJD0B4A88/wf44ue++KHUcT6Kg0nqGoK2Ho9j6cYBk3TB/XH2UEvRk2CaKY4nJcNOgKckR5OMWVa6Fb0vOT9sc2m7TVUburHHR84PuHE4d4YT4/IbT2YZ06Rg2A0IpGpCtF115UY7ZLTIGS9y8qrmaJpzMMmYZxXnN1okRc3pPOPeacJmL0Ia0FYwSSq0MYS+pB35eEqxKErKyq66wA3OwZwWNVK4PEZPQG1Ba7vqYF9C2we97I/SKHPmi8sJ3JO4lotvWrYQuR8pa6dDFWeY6XKrac0PRkD8Esvz4ylH7AutqWtDVduHnt9bweLeG61QUhUPmOfZH18+jhRu5d1rB7QDj0lakJWNptRopFDkZY0QbgJqkAjBKtMziEKUUozmKUpJ9vpt0rJq3hOCrKwpjSUvNb0oYLsXcjLPmacl1row/HujBE9JNtohH7s85NJ2Bylcq5ZAcGXbXcA9Ook8nmXcOVm856D39wLR1LBW+ukM353nHwRxxxpr/OhiTTx/iPEPb/xDPv/3Ps/Xj74OwEtbL/HLn/vlD6WO82lY5PVj672ziHzFPCvf9n6UFPRin4NJRq8VsNEOGbQCikpjgKyoef3+lG/dmXDvNKUVelza7PDSxR5fuzlmmpZYLGlZs92L6LWcpsxqs4qMsUCS13z91ohKG6QUbHcjnj/Xp9cKMMZyOE4ZJQW2IRRl7dzynpQoKUnyGmNdrWFelg9lTCrhXPhlI9A8qy98Ekd60sfzcjopGrJpcPrAR7G8z0e1oKvHsg/uS5vG3PK2r8L3Du8mY9RTy/MmKEqNsdYZoWD1/JZxS+KtHkPg+sp5IEVYbprdKl7iNzFWFoEnXTSSteBLV5VZVC4+q9aNblcKdOWaqmpj0dpymuWrsoNeHOApQb8V8uL5PkfTnFlaUNammcIaXtuf0gp9NroRcamRwr2eUaD4sSubXN15sCUw1uK9RaZR4LnpqrH2PRE7bVwm6f1xSpJXxIFib6PNbj9+2wB5KQTnN9t8887oiXWYWVkTKOU67NdYY40PLdbE84cQr49e50/+/T/J//md/xOAjWiDv/Rzf4k/+pk/iq9+sOraAiWp32LCUWvXzGOs5WSWc3+cMElLQk9xbsO1CYVNN/vFrQ73xil5WRM1us4o8BgnBV+7dQoWhp2QwFMkRc1Xbpyw0Ql54VwPKQWx73F3tCAvDe3Q43SeM881kafQ1nI8TTmaZPi+YqcfUWtDUWte3Z9wfdfdx+E8o9/ymaYlZeWyGI2BwmjSqYuzCQOFEXalHYQzq+wzJPGsi/zRM/Skr4vm69o+TDbf6SrcE261KwVkldOa6nd6Jx8wlASlFNZY5wCXEEiFrTWmtquOegsgms76J4TKCwDrJs+BWpqUBEqBaGadUgh836OqaoR09xX4PlWlscIZsZQSdCKfqpm41todV1Zpbtyf0o79pta1pjLufRN4koubXbLS1bte2+2TFTVlrUnLGq0t2/2Ya9sdamM5muVsdUPSoiYtqxWJzMqayPdQUj6VWOZlzU4/fkvSucgr7o8TTmYFFst2L+LcRnu1Gq+14Ru3R7x5NAcsgac4nhluHi+4tNnhk9c23/IiE+DisM3t4wWHk4zt/oM2pKysV2kWj8aorbHGGh8urInnDxGm+ZS/9k/+Gr/yG79CZSqUUPzRz/xR/tLP/SU2W5sf9OG9K2z3Y14/mFLVDyaLS1S1Js0rlBD85muHHIxTNJbY95jogjunC84NWnzq2hbtyHc5hHs9Xr8/w/cq2qFHUWu+dtMZlz55bWulQWuFHmWseeNgRq0NR9MMpVwo9jyvMCakGwf02gGlNoxOFxxNMkpd013WYhpHnMvacPt47kwfQjAr9MpEYq0jGLU2TkOqNaJ2RhEl5Wqt6KaPjxt2tHVkUtqHJ5+BL53BRBu0dv+tjVlVLL4XnlhbENq1Kn1YYpLe6XOqDdharzJOrYDSuPdY4AvKUjuzjn1w+yc9pq+c5tVaUErSDX1XTSrclH2ZsykF9FthEwcmKKraGXy0JdUa33PtQgJXFFAZs5ok57WhSkpCXxEHiq4MaIWKVugTh4rjWUoUuOaB2lgGbVdQoKRguxuyKGoubXVIS02tnTFnntVkhdsmnMxyXjjXZ5FXTJKS4SN6zaJyP3dxs/PU83k4SfnqzVOmaUnUFCvcO01483DOJ65usjdoceNoxncPpmx3I3e8Dcpac+t4TitUfOzyW/+d6rUCPn19i2/cHnEwdq1OtTYEnuK5p6RZrLHGGh8urInnDwG00fz3v/3f8xf+4V/gOD0G4HPPfY4vfu6LfHT7ox/w0b03bPcizg/b3D5ZsNWNVkHTp/Oc79yb4CnJv3z9aNUHfW2ny7Dr9J7aGPZHKYE35iee30ZJwccuD9loh9xuQq1naUUr9HjhfO+xScl4UXDvNCXwBdd2uowWBceznNGiQACfvr7NZjdikVd89eYpeeVib2ZZRVpUaAOLrCTyFfelM1cIrOtQLzWpFASedNE42mCFm5HVwrjWIetW4svJ29N0h0vyd9bdvYyTCRCUViOa7y4nnu8VlQH5IWqMeadH0g6liyjSZhXvI4Ug9hVKSvLC2dSlFNinsGsp3Bo99CErXKpCJ/bRgUtLaAce47TAGEscKK7vOnJ3OM3IK01S6gcpALWmwk1Ll685NCH8DY8qm4uvYTfEk4LTec6g7VM1FwHzrKIdebTjgNGiIPAlUeAxzytagcfV7S53ThdMmvff/ngpKWnziWtbHE4yvnrzlINxSr8drCKXkrzm2m73qbFHSVHx1VunZGXNxc32ivhZ6zI9v3bzlOgFxa3jBe3Qe4h0glvj91sBd04Tru/23zZMfqcf8zMv7fLNO2NuHs3JSufAN9YyTUt2+k+u51xjjTU+HFgTzx9w/KMb/4jP/+rn+drh1wD4yOZH+OLnvsgfeP4P/FBc+XtK8smrm/hKsD9OOZ3nFJVmf5zgK8mL53rcH6d0Ip9aG14/mPEcsNl1a7itXsT9ccokKdnohCgpubzd5eJWh7I23Dqe8/Vbp2y0HzYnpUXNnZMFcaSIfMXl7S5Xd3oUtebe6YJ7o4RJUgKCoq7ZHyVYK+i1PDY7MUlZcTTNSPKKJKtBunD7rKyZ5zUC6IYeke+htaGowWqLbSJ2lonvS2c6PL33/NEvW1hNgVqxx2hhyKuz9YoP46yWUb4DYvpBTzvf7eRWAp6nEM2KvBe7KWUYKNqBD1hCT1LUBmst9swDLc+RFK4RaLMTsNWNuTtKeH6vy3N7GygFWsPBJGF6u8KXggubHXYHLbaa/M2bR3MELmjfVxLdkGBrLZ5SgMEKSyvyqCpD4EuUkHRjn34roB16HE4yTmYFRWWQQrLRCdnshhjrHiP0FAKBkhIpBbuDmG7sc/d0QVrWvHxhwIXNDttNJefVnS6hr7h5NON0kWOMMxm9cK3P1Z3eUzWYh5OMSVJy6QzpBOdk3+lH3D1NuHk0J8mrp7rfO7HP/jhlkVdvSzyttdw4mnPreOF0n8M21sLtk4T74+wx/eoaa6zx4cKaeP6A4o3RG/zJv/8n+T++838AMIgG/KXf/Zf4j3/iP/6B03G+HaLA49PXt3kuLZmlJd+5N8ZYy3N7PbRxhp9O5BP5iklacm+UrLIE48DjdF4wf+RDTwoXjh35atWtfvZDc5y4msI48FBCIIRwOs/A4/lzA4SU7HRj+m2f41lGFHqryJhlT3VVuyxIJ1uTeFKSFRXaWFqBQinhDBuwcqX4TcyONZZCL4/VTb2UlKv7XD0PHtd3+krQDQPKpq9biAch409Kcz9L3t4J8fyg8aTDfLtYJWcqko7MeS4XVTVTRq0tRa3ZaIec31QcTFLyQq9agMBpQ30pscLSiTzCwGNR1Ay7IeeGba5sd5CNSWfYCbh1sqCq6tWEUkm3Ao8DRVo4U1knCpDSGcfSosJYR1yVksS+RxyIlRHOX07IjXv/x4HiYJIhhGBv0KLShiSvGHQClBRMsoJQSaZpyTyrmmgmxaeub/HxJ6y1z2202B3EpIUzucWB97Zh7KfznNCTT7zQFUIQeIrxIgcETxuSn73AejuczgtevTelG/sPRSt1Y5/RouDbd8dsdqNV5u8aa6zx4cKaeP6AYVbM+Gv/+K/xK7/5K5S6RAnFH/nMH+Ev/9xf/oHVcT4LlqQu8hXfujvm3EYLJSXaaKeKaz7ROpHHNK2YZzWDdtA0sNinfqhtdiPaoc88rx7qeZ4mBVlZs8hrru50HpoWWmtpBx6tSPKTL+zypTeP2e5G3Dxa4DXu5bJ2IdnaSJKixtqa04WmqFyiu7GWQElQUGlJK/AotaGuzWpVLpsQdmudS1qIx6san0SyfCWQChSCJHeGJSO10zW+Bam0PFsW5fuBZcTQW7rF3yHe6r6WznS5dAMJF4PlKdGYdZyBxlpLa9jGU9LFFFGSl/rByl0IDBaJaBqnKkJf8TMv7XJx2OZeM4mXQnAyz93UGsH9SUroK7Q2TJISbQxR4NEKPHb7MbOsJClqhBDUlbtYUE10UDf2kUI0LniJNpZFXvHK5U0+fmXIl9845ht3Rtw6mdMJPfrtkOs7Xb5zb8KtowX9dsCiqKm1odKWK9sd9vpPbwuSQjw1K/Npt39r1YUlDn0QoiG/jxuI5llJJ/LpPaHP/VHcnyRU2jzxGDfaAXdPE46mKd24/8zPYY011vj+YU08f0CgjeZ/+Mr/wJ//h3+eo+QIgM8+91m++Nkv8srOKx/w0X3/UGlLpQ1x4D6gfOUag04XGVHg4UmJtQbd5AClRe3C59tP/kDrRD7Xdrp8844zGLVCxf4o5cbRgvuThH4ccDLNgQkXh22yUnM8zziYZGzOQgbtiFlaOFIcZMzSglbokzer22WgtRAQ+opWoJilFWXtCIinnJ3E9yR57SJ2otDDYpHatQwZXAyOFI9PJM8S6qXLvawNo0WJUi5Wp7aOCL33hvH3F0tjjrDvbmX+KJZEdnlfikemudIR79pYlLF4nqIdey5/1BhMbakaw1fRNFvpxtAVewopXK5qbXDn0lVHEYeKk3nB7qDmU1e3GCUFxhjqWrM7aDnXeqPBHOUVi6JaGcuwlpOFcEHvtWGWlZSrznb3vgiUq8gUwlXC5nVNK/C5ttPh6naXC8M2F4dtvnzjhONZRlYaJosCY+HSZpt27IEV+ErSb7tYr1fvT+i3g7d1kT8LNrsRNw5nGGNX094ljLWU2rA3cET3S28escirh0hjWtTM84qPXx4SPYGUPopJUhIHT76dEAJPSeZ59R6e0RprrPG9xJp4/gDg12/+Op//1c/zlYOvAPDi5ot88bNf5A++8Ad/KHScz4K0qDmYpBxOUu6dJszjigubbUJfsd13rUGLvCL0HMnylKSoNKNFwQvn+g9NMx/Fi+cHCAE3Duf89psnnMxcX/ZmJ+TyZocw8DiZ5dw7TfA9hS/dOrwbBXzrzpisdNOkvY2YWVqttJxCOHOKp6AbhbQaF72UgkVaITxJUdYo4eZ/SjpZwUY7JCtritLF7USehMYeZLR+uDFIPEy0lFqG3ePahQxIYZ+JdL5Xt/s7gZAA9h2v9c8e45OOV0gXewQuV/TBlLM5F9LljuaVy7sMapefihWEnrtouXm8AJxOVhu7mjwinBFm2PbdlF1YFlmFJwR3TxfcOJxxNM34hc9cJQoUh5OMj1/e5PbJgrSo8JpJqCcFee10mWEgmWclZW3YaAcYE7r3sS+bCb/HLCtJi5rAV5wucuLI4+ULA1487yZ6aVGTFDWDdthMDF202CQtefnCBpe321jrVvxSCmptOBinHE9zLmy+92rJvUHMsBtxMEnZG7RW5NMYy8EkZdh2He+hr8hKl5c7Tgp8KamNabTafZ7fe7YJ5dtFrOnmPtdYY40PJ9bE80OMN8dv8qf+/p/if//2/w44Hecv/uwv8sd+8o8RqB+dkOSjqXPbjpPCkQMs37o3YpaVXN9zbvSr213uni64c5rQiX1maUmqJNd2u3z00sZb3r+SgpcubDBoBZzMMpc9GHscjFL2JxlB4ULe744SLm+2UaHP3kaLS1sdPCm4eTwnn2tagevUDr0QJYTLVNQaawWltgTa9bBXTVj4sBVwXLl6v9BXaOumR7v9mHlWkeSVM45IQegrjHFmlKIyKze2FI68OROJI1QAwZmA+FI7Uvt2+sfvG+nEkcN3UmzoiWX2piQtH0RMPXSfPCCdZ6GWF2fSrnJRl/FUs9SVD0S+YqcXkTeRQ4W2eErgKZ84UOSVix9ymZeKTuxxOnP95KGvCDxFZQy/8doRWVnz4rkBeaW5st0i9CWv7k+5c7Kg1Gal8fSVIg48erEgKdx6/fwwZpEHVLWm1obTIscYdyxaGzKtkVIySgp+47UjLm11uHuy4HSRc3nrgb40rwzjRcnrh1OEgCvb3dX3vJUUIHtfiGcUeHzy2iZfuXHK/jhZZWtqYxh2Ij5xdZO4cbK/dGHAuY0Wh5OUtMkP3enHbHTCZw6m39toced0gTbmoU54cNFMUsqmo36NNdb4MGJNPD+EmBdz/qt/8l/xxd/4IqUukULyR378j/CXf/4vs9Xa+sCOq6zdp/b7sZ57ViSFiypKioqLm22kEPRbAUoI7o1Silrz8ctDei2fYRHSiX2ubHXYGbTY7kVsdqNn/kBLChcsf2mr47I7ZU5W1BymBbPMTTJvWsunrm1zfae7mqpc2uyQFLXL7Kw087wGAYuyZpG5KsJ+y2fQ8okCj4NpikJQa9vUJRqkFrR8j61OxCytmGfVg+O2zvhirGudqWpHXkJPOiNKpTFYqtKthSNPYhAY86BNZ5kJ+WHYtqtGMrCUEDwLPOUaf8onTLqWtZ88srJfUpKzk77lLZRwtZTOFOYmz261LlgUOb3YJw4DxoscbSy+UlTKUJaapKzRxlLWxsk4Wo40Kekmo0fTnKPpAb22Tyv06LcCBi3f3U4Kdvoxo3nuVupCkJQ1i7xinpVc3Gzz6WtbzPKK1+5NGC2KZiqoCDzJZidip7kweW1/wpuHM7emvrSxMigdjFNuHs2ZNVWZSe4mole2O3Sbyb8QcDjN+JffPWKWlvie5OJmh/PD1ookvhMMOxG/86U9jiaumQtg2A7ZGbQeWp+/m852Yy3jRcHpPKdqam8H7ZD9ccp2L17df1rUnMxzrm532eqtI5XWWOPDijXx/BBBG83f+erf4c/9gz/HYXIIwO+7/vv45c/9Mh/b+dgHdlyHk5Q7pwtOZs0HSifk8laH3UH8PVv1Z2XNwTjlq7dGfPf+hKvbHbKyph068vbC+QHtyOfNwzk3jubs9GOu7fZ4bq/H9rv80KnNg8ihO6cLjucZlzbb1BstbhzO3DRFSIxxK9glPCUZtAKe2+shheCN+zOmWcl2N+Ibd0ZUtSFtyAXAIA4JfMHxLKeqbUNaQCnBvXFCXj4INgeojMXgGoJk7cLg+76Pbc5TrQ2ldm73ZTvRsnHnbCbkBx1/tERtXeD9WzQ0PgQBFLUlb0o5pXj4uZw165/l1lI2/91oEkzzmEq6CXM3Driw2WKWVJwYRxhlQx4XeU1ZGTAwL0sG7YDtXsT9SWMYspbQl3RbweoCodaGotQkeUWlDfOsRAnXi15rgxCWyFe0Ap8s0kTGkBY11kAYeLQDd0xvNFFL7cinVxmUgHlTlPDcbo+NTuSm4bWhFfocT+fMt2uiwOdgnHLreI7vCQJP0ApDylozTgoqbXjxfJ/IU9w5XhAFHtv92k10M82X3zzmzknEp69vP5PJ51EsY8cub79/UUZlrfnG7dFqWiyF0wUHniTyJNOk4EQ72UTkuxD5Vy5vop71zbXGGmt837Emnh8S/ONb/5jP/73P89sHvw3AC8MX+Juf/Zv8oRf/0Aeq43zzcMbXb43QxjTxJE7Pdn+c8MqlIc+fe/+do6NFzldunHI6z9kfJy5v82TB4XQ5zYiIA4/n9vp4SrA3aPOp61t0I/8dnyttLKfznFlacjRJmWUls6TkZJrTCjzXm21cQHdtLMOOT1JUHM9z2o1BwjZ5mxvtiKs7XX7syibaGP7xt+7znf0Js9Rp+EJf0Qo9tNGM5pqqdtMbz5PkpeG0KB/q+vaVwJducgmSOFAoJdntt5DC5T5utAMmjb41LTWBEigliQIfYzSTpPzQEM7lK2N5ekf8k/CYk98+/v2zrupAOc3s8kvtUIEQFGWNp1wWpmuKktRGMMuq1QSzGzuneaAkSaldN7oU1Aay0iJxBrfYl4S+JG6m/7W2zgUvJf12SKW1W/tbQ1pULPKq6WcXHM8ykqJyeau1WTVaDTuucSgvNbOsxJeSvY0Ya1wKwjJ3thu7SerpoqCOHRk7mqZ0I487JwsQsN2NKUrt6jR9xUY7YJpWHE9zKq2Z5RUvnO+z0XmwkjbGsj9O+eadET/14u5TNwW1NhzPcmZZiQB6ccBWkwX6fuM7dye8fjBju/mdBzcBnSQFlba8dGFA6CuEgH4roN96vMN9jTXW+HBhTTw/YNwY3+BP/dqf4n/71v8GQD/s84u/+xf5T37yP/nAdZyTxGXiOaPDgyliN3Zd49++5/LynhYK/W5Q1pqvNXrOC5tt0rIGXI7hPCu5cTQjCtTKFRt6Ht3Yf0vz0NOQ5BVfv3XK/UnqurGN4XCcceNwRlE5opiWNUWlyYqavMlRrLQG5lwatlDK9bq3Qo9h150HY+Gbd8b881cP0cZybqNNWlSU2jWrlLW7P7XSbhoqrVfTSQNgoMK5oT3hVqhlpZFNTmPkS4RwE7fRvEBJybmNkG7LZ55W+EqQFm4KVBmLsIb8HYgq3++t/NIIJXmgPTW8f01KD8OuVutCCLR1+kiLI6VxoDBGYaxh/2TBLKuojZso56WmqDS5cq0/y9zPnUFMXtQsckGAIAoas5e1aK1JC42xls1OiJJgrKDXDuhEPllZk5Y1aVEzSyukFPRi1zgUNc75rK7xPbnS+nZjn1nmKjRrY5FS0o09plnFOClXU/3QU7RDj/ujlFlacfN4QTtQBIFH6Cs3KZVNGD6WNw4mRIHPpc32Q6QTnBFuuxdxNM0YLwo2n6CTnKYlX715wsksX+WbKiHY7sd84urmu/o9fBrmWcWd0wXDTvjQ+t+R9Ij9UcIsK/nM+e012VxjjR8grInnB4R5Meev/9O/zhf/xRcpdIEUkj/86T/ML/38L7Hd3v6gDw+Ag0lK2vQ8PwpXcbfgYJK+r8TzeJpzOi/YGUTMm+rJw0mCMS63b5ZVjOY5nchf9TQPO+/cSFBpw1dunrI/StgdxCvdallrfv1b98kKzWYvJM2dycNiaYUeoacwFg5nOSeznHYcMF4UvHxxsPrQPZpmfPPOiKwJCA99SV4K8qKi0C7L02tWhpU2TTWjxLMuZxHcxFNJtzO3TcB5rS3Kug//tGma2e1HpHmNlI7QeVIgWs1ULa+aKZQLx7cYivoDHH9aMAJ8T1DUtiFuz/ajy9zPlYO/IaxnCbLX3MhYi64sQrr4Iax1HehCUDeZnXsbLY5nOZNFRq1djJXvSaJAOQNYbVBSu3guXL5qXtVYLIM4oKotSTPJDJvUgVbosdEKyeoKX0p2+jHXd3tMkpIbR1OKypHTUEqCQJItNBZnOMNapouSduQRBYo4DJimJUVVNwYa654fgkVeMexECOG6y4213Bun7PQiPCUIA4+8rEnyinbkc323S61dbmyrE9FvhextPFmOEvqKSluSvHqMeOaV5rffPOZknrM3aK0mnJU2TVc7/NQLO++bBnyaFmSlfqw7foleK+Bk5prMHq3hXGONNT68WP+2fp9hrOHvfOXv8Of+4Z/jYHEAwO+99nv55c/9Mh/f/fgHfHQPY55Vb/khEnqKWVa+r485y0oqrbl5tOBkllPWNUVluHE0p9fyaQVu6mOs5XCSMeiE7A3eXtO5/HC8d5owTgrmWcnBJOOjFwer5+i0mJqdfsytoznHTSNMK/TpxL7TYUpB2qxgv7M/5aOXNnj54oCXLjxwzn/j9gnfuTdhlBSUteZoWq9Wq6Fy5iCpoNZubWuBdqAoraU2ziHjNULN0lg8nAbQaEM79vnI+QFp4SJ3Lm/10BpKrZkmpas6tFBWBmsc2TTWopD0Wz7Hs/JtJ5nLsPX3e+Ip5eNh48/yGMthlhJu+gcPpqT2sdu56bBSwoXBhy7btTaGThitajAnSc4sLR7SwgrhDF++r6iqmkobiqbh6HiaIZXk/EabduhxNM0oKo2toG5qL4XwyMoapKAd+ez049WkLvBcA9ZmL2SW1uyfJGSVxlfSVZtGPsbCJK1oadeYFQceWkPouwimojYst9mztKQbOX1pVtRc2eqAEBzNcpK8QmvbZFpq2qHPle2O62/3FJU2TzV12ebFedIE8XCScjzPubDRfiiv01eScxst7o8zjqYZFzcfv1B9N1helDxtmuneSx+2dNo11ljj7bAmnt9H/JNb/4TP/+rn+fL9LwPw/PB5/uZn/ya/8OIvfChXRZ6SqyD2J0Eb+z3RdR1OM6raMGiF+F5IJw45HLu12nheoI1l0A7YaId88uqWm3YYDWWJRqA9HyXlymBQ1pqv3DjlzcPZKu/z/jhhkVWcznM+emmDi8MOk7RwBAMX26ON01AiXLWlkoJu5NanO4MYJSWfvLq1mggba/n23TG/9rV9pmlJXWt8T5E3OY1KSaR0H5NLRzvGudXzql5lPJrmw7+sH3yo1rWbltXNcez0Yr57MKUoD8krzSQt8SRkpW7SB5ySstSO6EnPMkkd+Q2kI25SumrGJ73C76VNKPIEZW0fuo/QdwSrrPUq8untsCTADRdfnZdHb7PSxQJSORZptEV5ilpb4kByedhhtx9z+3jB7eMFp7NsNTHVlhWhyyqN1haEeBAsbwT9TsBGJ0TXcOc0IQwkm72IqtZOl1lp0kWOwPKRCxtc3+sxaAccTlK+fW/CwSQh8BTnui0ubAhuHs3Jpxmt0GN34JzkWVGzyCpGaY6vCnZ6MVIKZlmJlJJZUuA3GZa+78jezaMZvi/5ied3OJ5m7I8T8kLTbwVEgWKWVXzzzgiaJqSXL24wSQpuHS+eWCmZFDWtQD1xi3E4zVwr0xOMO0pKpIDjWf6+Ec9O5Oo680o/MVh+0dTgPqkJaY011vjwYk08vw+4ObnJn/61P83/+s3/FYBe2OMXf9bpOEPv/VtTv9/Y6ce8eTil0o8HMi/DtXf7729siZKCcVLSizxqY5AWOqFHsN0hyWvePJzRjXx+/NoW54ZtYgncu0l5+waT4xGnScm8PSTfvsDelYtc3Oxw42jOjcMZWemyMTuhz1Y3cl3WScHXb7nWItuYFkLPY6sdcTTPMBZ8KdDWNpo7+JmX9rgw7HAyc8QB3M++uj/h//fNfbKypht6FMpNR6vaES1fCEpXewM0TTo4Xae2Fmvd+l02a/UlPaubqsZQKYwVvHkwIw5lM8GSbHZiplnpjFFZBY0hpqxs0/EOxkhq7apDlRJNE49gmlUPjQ2lcOv6s4//LFgSwCVR9JRw7TzCTaYCT9KKPNJp9cwTquX9PWn66jWiUWvcSt1XcmUQ8pWkE/l4npsaJ3nNwShluijJSjfJrExzv3bZaOSmZ7V2/0jhzpNpVveLrKaq7cokFAUhgedkFOcHbUpjuHeSIKTgub0uG+2QV+9NuXk8495pghCCqi44GKUMe27y2ol86mZ060nXLLU3iFkUTsd5YbNDv+WDgKrOaUceAldn2Y0CSm1ohR5Xoi5KSU6TgovDNovMOd6lkLQCRVFpXr075adf2uXSVodeK+D+JOVknjM8k5+ZFjXjRcFLFwdPrKM0xr5lNJmS7jV/v7DRDtndiLl7suDcRvshp3pauNfxylbnmePS1lhjjQ8H1sTze4hFueCv/5O/zt/8F39zpeP8Dz71H/BXfs9fYae980Ef3ttipx9zfqPN3dOE7V600lHlleZomnF+2GLnfSSeZa25c7pgssgZzQStyLmzN1oh3ZaHEIKrOy6u5fxmh0hYePVrlDdf58684qhUxAr6o7tE02O+O0u4tXeetHANQOOkZKMd4ilJXjmDVLcVUNeWe6MFsa8oKsNG26PUTlvme5K6dmvLQEk6UcDl7S6LvCIKvRXxHC0KXrs3oaoN5zfajJOclhdQmcKtcXFVmDqvsM1/6yb/yOImj1YatH2gXVxC0OgXhWsmmqUlo4VbJ0e+R1rWbHQCl1OZVq7WsXLEUQG+79b0SxS1JfAEka/cWtbSBBU50vgk0uk10URnePNDx3c2zsicWdcuA/+FgNNZ/o674C3NGtw+PIWV0pl7hASLi0Cy1h1/pQ1ZVdOWAec3Y8pKOz1nWlJWTs+5JMjLYxfCuiltM13VFmyjv6204XSR0/IVhTaEnnI1lliywmW2PrfbY7cX8407Y24czrklFxxOUo6ayCyvuW7LK0fuAiVohx7TtGSaFMyziqKqyStHSIvahdV7StAOfYbnItqR4oXzA84PWtTGnefjWcat4zmTpCAvanZ6Mb3Y6UOT3FWz9lpOjrLVDQk8xXYv5pNXt/jWnTH7p4l7D1qn73zhXP8h2chZbLSdrvuJr1Pjuh88pZr23UAIwSsXh5SVYX+cEHoKX0nS0nXav3i+z4X3abq6xhprfP+wJp7fAxhr+B+/+j/yZ//Bn+X+4j4AP3/15/nlz/0yn9j7xAd8dM8OX0k+cXULJSX3x25C4r6uuLzd4eOXh++bkaDWhq/cOOWNgxn9louVSYqKyaJgNC/otzzOb3TY3Wy7tZu1cLwPd29wINvsU7E5DBtCskFnesLzyT6/edxmUhj67QCBWEkDOpFH4HuN29mSlRqJCxofLQq3Qm1W1xutAM8T1FNDbQyv33dGkc88t73S8B1MMvJKo4RAW0NWapK8WOkataVpItJN45DAA2d2Ydmk8+B8nCV3xjr9qR+5hpx5WZJXmlh4YC3a2pXWTzTjQQMEChASrY2LZLKNs1xArTXzXLsA+kdeiydxw6UU5FFFnScg8J1uVRuLUk6ioRonfiv0CHxJXtZukoibwD4rAT0blaTOZJIGnkQIQVFpQl+4ia4xKAShci7uoq7ohH1SUaNN5qa5SjQmn+b+xZkqzUcIvyeFI6XSueIXRb0iqpO0dIHxtWZ/nK5MYaLRi46brvRO5KFr9wChkkwzwSytCAPFduSjlGCcFEggDn1iX9Hthcyziu2uC4sPfcVWL+LyVpfzwxb3Ril3j2dMEjflvnu6wPdk87q790McePieJA49PnppA09KkuJBrMHFzQ5b3YjD6YP37WY3YtB+ehzRuY02bxzOGS3yxwx9p/OCbhyw23Syv1/oxj4/+cIOB+OUe6MFRWXYGcRc2GizM4jX08411vgBxJp4vs/4Z7f/Gf/53/vP+dL9LwHw3MZzfOGzX+Df/Mi/+aHUcb4dWqHHTzy/zTgpmKUuAL0b+++o4u5ZcDBJuXOy4OJmm6zUhJ6g0qGrKaw0nhRc3e1SVppB2605ObhNJSTHmaUdeg9pz8ruBtH0mPPdhDuZm5b66sH3A89VJN47TVjkJZ4UqIbsFpVh0ArohD7jpOD2aUKtNZ5SKAmvH0zpxj4n85xpWtJvBSR5iacE07zkcJzSDl3maVZWiGZaqJt4HyVcPM6yWWg5TVySMYFb79fmweRRNlFEAvGANFnD8TxDCkleuZB6Y88SWLEiI8sII2kfEFkhhPsarP5fPDXeyPIEiSXauhWskO6+wZnOPCWZL2OKKreqXsYnSSkQ1j7WNLTEUtQReO4caEMz+VNgwfclFza6nC4yRvMCcGtyTwhMM16OQoW1lnFSkBY12rhzahvqKJop7NJctDqnZ44j8N0ZL5sXxjZaUGuaNbx21aWns5zYV0SBh9GWSeI0vZc2O0zSkrsnCydtkIJ+K6TShrIyTJr82NpCNw4wFo5mGdPEXdi1I49LW20+cXWbKHDSiDcOpnz11ghfCTY6AcNOQF7WfOPOCK0t07ykrNwFUllp50y3T9ZjR4HHlXcQ9t5rBXzs8pCv3zrl7umCduhKDJKioh36fPzy8Ikr+veKyFdc3elydef9C6ZfY401Pjisief7hFuTW/zpX/vT/C/f/F8A6AZd/uLP/kX+s5/6zz7UOs5ngWhy895NbNGz4t5pgpKCjXbIRjvgaJqz2QlXEUXHs4zxIifyXaWlNBrShNILqXS1qgJcQbpJ7GYAUknyUjvNX4NaG8raGXGMhXFSkJU1oafYG8SIZn3bCjwWeYU1EEeSS1tdPnJ+QK/lczLL+cqNY37nS+cIfcXBOMPoJnbJV3Rjn6zymCSKvFhQG0vVmG486XI8PeWmUrU20DQWxYGHki76Jy812lpq7SQOFhet5EkJQnAyK/A92UxMDRJBtXqO1q25eUColpFEjmg5Mmlxk8vQ99DGYGvz0NRT4Bz4TyKJFla98doCGopSM9cV1kLlOXPIUsu4JMa+ElRPiHZavkJSungjaaxzlitBoBQWJx+w1qKkZKsXYS1MspKirJDC5VouMyzTvGKe11hrqYx1BEy65yObiWbd6GrPyhOloHHEC6ampNRuAuoMUoa8rJqLGScl0MZSVJrtfsSwE/LqvQm7/RadyFuda3CTbudWL5lmFbW1hJ4LeA985YoM5hl5XVMbwySp6LdCXrq4QZJXvLY/pRWohyonX77kvvdbrx9R1u7CLPYVm92IyFe8eTSnG/n82JXNJ7yCDnmlOZykHE4zjLEMOyF7g9ZjDUaXtzp0Io97o4SjaYZAcGW7w4Vh+x3VYK6xxho/ulgTz/eIRbngb/zTv8EX/sUXyOscgeA//PR/yC/9/C+x29n9oA/vBwZJUTcNJILLWx1qYxktCrymZ3ueVczSik++ss2FzXYzdvIQukQ2veRKnln7W4swYKRiuxNS1IZZVlFFBincavx0nmGB8xttjLWkRQWBC6Xf6IQNIc2bFawlDDxeOt+nqDWv7afU2nB3tKAbB65BKC0YtALXKjMvSKuaNKtJywopJRiNUriVN6z6vSXNBBIaEmlJS+0ikc6cI6MN7bai24rYH6cUtVuhSy0w1lAbHqrwWZLHZTC9kq6fPD+j/5S4/4kDD6UEyiiUEmTlg3W0oDELWTd9PHtMTYKRM0c1Xysa4upJ3Frb2NU63+KIXuxJtHT3dxbLmkshnMxBCEHgO3K+JM3zoiZMC/JKN/mkYI3BWkHoCYR0FZO62Z0ba/CUpB0qkrymrEEp46ovl1RXPKJVFe4tVhlHGK11elIp3DHW2p1Pz3MT6ElTkfri+QFSwqv7U6ZZwYVhh3bskeYVsjGXzfPS6WibfFFtLdO0QCmFrl1DmG1MTfO85LdeP8YCrcBjnldc2mw/fM6EoNsKmn5ywd5Gi07kEzbRSXdPE2Jfsd178oXjJCn4yo0Tjue5c60Lwe2TBZ1oxscuD7n8SI7v9/oidI011vjhxpp4vksYa/ifvvY/8Wf/wZ9lf74PwM9d/Tl+5XO/8gOl4/ywoBV6q0zQKPB44VyfSVIwWhRNSHzIj1/f5uULAydZEAp2LxBNvkYn7jDLKgZn9KYiS5haxTcXgrjt88K5Fl+/M+Lm8ZzaWGZpQTcKUAImqSO4SVEjG6d7GEg8IUnyGimg3wpBCF4/nAMQ+wolJbN5zm+8dsiPXRnSDjzyStOLfSJfced0QVq5+WMr8BpdoouBKSuLsQYpneZQW0dqitppQJes7yzJ04jGiGSdllQvQ9ibgPiG/D06vXuwmgcQBL7T7y4jcLJCN855UEKirVjF9jSGejwpQEiqWj+kz1SNRvIhgvzgVVgZec4ek8VVRXZCZ6LJK/eNyJNs9WOqWjNZFNRYfCma9IESIYRbklvL8Twn8pyW01eKVujTjdxKeZHXbsItwfdiJymwFl8ppKwx9sGE0zQjX4nACrvSeYZKEvoeArvShMaBRyv0nZvdUxzNMmptCANFLw74sSubPLfXI8lrunHAeFFycRN2ezHfTUuK0hmGtHWNVJGUCCkIPYXFUteGYScg8DyXUpCWnB+26cYBr9+fcX7oqlIflexkpWaR11zZ6TJPK1RzoTbH9btf2GzRiwKKWtPm4VV4rQ1fu3XKyeLxfM7RIufrt07pRN6aaK6xxhrvG9bE813gn9/553z+732e39r/LQCub1znC7//C/xbL/1bP5A6zg8DLgyde76sNUHjXt3uxWz3YuZZRV7VvLgknUvsXUQe3uPC0TFJ7TPLBJ3Qw8xnzI9P+E50nptTw0W/YpQUvHiuz9WdLl96/RiigNBXZKXLPBy0Au6NUjxPMk0KjIGLu93GfGLpt9yHf7RcxTfH0YsDurHP7ZOEXhy4n09LskJT1patToTnOb3jLCkotAYrkLJxUDc6TtNoL5UAoQTKk3jWUtRmpblUWE4WOacLga+cBhIExizX3Y1G8wwxPLtmNxbXRx55tOMALHRbPqeznEVeNcpHSytUYJ0ZpTLOrFIZ4+Jyzq6jebhNaEkwH2hE3UTPSveHRpsH36sMqMYi7/rlBbu9FsNutKqY1EWNNoa8SXzypCNsUjmzT24sSsBGJ6DfDpinFSezjLJZ7RsDp01k0CKrOV0UGG3chNk0MgPrprmBLynKB473wFOkZbWa6Ia+I+K1NpzbaBH6ilIbtrohse/Tb/tc3ekhhKDXCri20+GbdyYcjlPmzbTTYAk8RRRIKu0IbSCbaa6FRVEjhVydy6I2xL7HTj/i/iRllpar2K+zvwdauz74snbB8xc22kglUEI29bIeB5MM/YSoo+OmgWuv33osn3PYibh7umB/lK6J5xprrPG+YU083wFuT2/zp3/tT/M/f+N/BpyO88//rj/P53/68z/wOs4PGnsbLS5vdbh1PKfXClbauFlaklc1H700pP+I3oxWBz76afrhN3nu9j2OxxOSvOJ+LtiPz1FeuM6ntvvs9uOmuShjbxDzqevbVLXm7igFaxm0Q7QxhIFzuceBIs0r0qJkqxtzNEsZJwXGWra6TlNY1hrTtAJtdEKKypA3xqdLWx1G8wJtnJt+lpbMkrIx4jTOZ8TKZa2bySLgDDfWTd5sEy6/hBXNDQCsm7p1YlfjOUkLksJpGWlc7to+/PPgiFapDToriX1FrZ0ppjbWtej4Ek8Kl1kqBIOW74hNWaO1fch4tDQrLb/kSxCNix5Y5S4a6+oqpTRgzlRdWmd4ubTV4cp2d5WTaq0jx0HjxBa41yT0ncHGWLta4YeBIvQkh+OMotaUjWRhGT4uhXBrd2Oax3Pd7R4PdK6hr1aa0cATTUyVXEUrtUOPSjsd59WdDpe3ei6XNHCmtWla4BWSr98eEXiC7V7MsBPxyWtDRnOnHR52QjeRttCJfEptEFQEnnuc2rhsg8oYkG4SqYTH3iDGU5JAuR73dugxy6rV70JZO7nH4TQjL2vObbS4ferC4a9sd+nFAUnTcvWkoPVZVmLs04sg2qHP4TTlYwyf/Iv7A4xFXpEWTmvdbwXfkzKMNdZY43GsieczICkT/sY/+xv81//8v17pOP/9T/37/NXf81fXOs73Cb6SfPLaJu3I485JwuEkQzQr7o9e3ODK0xyt/Q345O9geHVEZ7Hga3cmHIwNe7ub9NvBKu4p8BS7g5jDSYaUoiESho2Wu2BQUtKLPG4ez5uoHMnhLOfcIGaRV9QaerHHoqiYpi7OKCtqBq0ArS2d0KOunZs4K2s2uyHdVoAQODLRTKgkzqCipHXxP0KiPAG1RhunIzTWYmv7mLu80u77CksQSgJfOe2mUgw7EdYW1FojhSOyurareCWnVHRkMS0NnjR4EtLc1Xku3elJ4caLstFWekq6uCal3P0as9Jrnp2mSpbrdLNyyVfGSQKEEC7EXrs1eSCh0wr4yLkB3Tjg089t4UnJzeM5J7McKQQH04zaGLS1RL58KKi/0hptLMYY0tKd00E7XGknh+2AOPRXbutpWqAR7PQjLIIkr1YFCGVtMNoShx74rPSVw05Er+X+XQqnvR3NC67t9rkwbONJSVrUfP32KaHnMWyHKAFZXvPV8SmDVsAf+vGrzm2+nBrXhl47YK/fotKGb9+dkJc1oS8pc0Ne1oyaiw1fCS5vd9jdcPFEtXYXODv9mG/cHlFrpwW9cTTn/igl8CSBCrgwbCOFYJKWvH5/xoVhi6NpxuWtzmMlEEs8yTR29nsC8Ra3+MFDUjiT1v2Rqy2VAgatkOt7PS5vddZbqzXW+B5jTTzfAsYa/u7X/y5/5tf+DPfm9wD42Ss/y6987lf41LlPfcBH98OHwFO8cmnIc7s9FrnLpOy1gqd+YK4gFQy3CYbbJIt9dqOKre7jq8HAU1jhJnF3RwsWeUUceESBwmjXSjNJCrLSVfRprTmauRgmrQ2Hk4pZXqOEQEo3uWqFHm8eztykc7PD9b0er+1POZnnaG05mmT0WwE7/ajRdjrDkKcEvucRepJSGwJfkRY1EkteP5yW6TcNR9qAsiCUI4StwEkFpmmBNZaqrt00r6kL1cZNzs462ldw3hqSsmomiW4CuBU7R/RoUVJpTVrUzTTOLc7tGbb5qK6zaBjp0qTj+LaLWjLGkUYpoNcOeP7cgP/Xz73Iyazg1smcVuCx3Y+oKkNeVWx1Qw60oag0XnPxYK09Uwnq9J61NuxPU4Zt5+DWoaGsDZMspahqxqqgrg1SSnwp2eyFbHVDIt+lFZzMchBwbqNFXmoXY2UtnUix24+5tttDSUlR1czSioubbcZJSVbXKCU4t9GmFXoup7WoAMFmxwW1T9OC8SJHWxf3lUU+00WBQLDdi7iy1ea1+1NmWY0xZqWVjXzJdjdCCsHhJGOj7fJpd/oxm92IwFO8eTjj1vGCm0dz+q2AS5sdkrJmkpS0AtcL/+r+mDcOJmz3WsShx69/c59ruz2e3+uvptH9OEAJ8cR2MnDP6cr2D09Ie17WfPnNEw7GKRudkEEnRBvLNCn50psn1Nrw3F7/gz7MNdb4ocaaeD4Fv3H3N/j83/s8v3nvNwG4OrjKF37/F/i3X/6311fE32NEgbdqSXqneKtav1obDkYpSgkWacXd0wUn05zAl5SVadaOLlx76QRfNjP5UvCd/SntQNGJA9qhT7tZ5yZFxZ2TBR+/MuT6bo/zGy2OZjmjvYxv35sicKv5/dOEBONqGY1oqilNU72oSIsKTwnsIzFDTeOm03BKiS9d3qhbQ1vaoe8mnBakaAxGUmKteeo0qwaKskYqxW4vcO1G1jbrax/fczrLvHLd8EoKKqufmOX5KDz54Ji1BWUsdfOadFrunO0NYq5sd7m42WGzG/GVG8fcOJpTVJpu7DPsRsyyiklSNoYrmlgmg0AQhQqt3fQzUJJ5VlI1TnFjzCrQ3TaEWmFJypqBCai0pR26OKrtfow2lq1uTKndaxQFHsOO0xYvCdk4KXnp/IAfu7pJUWkmacG/fM1yvdF1zrMSbSy+J12ua1HzG68dUWtN5Cm2ujGR73H31LUdHU5TLgzbXChbnMxy0tKy2YmIQ4/zwxbnBi3ySvPd+1P2Bi0+cXWTzYaMXt3pcnGzzW/fOEFrw9XdHpGvyCvt+tpHCfvjpHleET/14o6Ll8oqvn5rhLGWl5t2oq1exHY/5nCScm6jhZKOfFprOZ0XtEOfC8P24y/yDyjujRIOxinnhw+eq1SCrV7EJCn47v3p6mJijTXW+N5g/dv1CO5M7/Bn/sGf4e9+/e8C0Ak6Kx1n5K0F9t8vWGubfEXxUEfz22GzE/Hd+1PoPKy5tdZy82jO0SzjY5eHbPdijuc5x7OcSrs+dSlcC0/RGJwubbXZ7sau1jAtaMceQeCx1Y1WejlnftGoZsoIjjhf3upweavDpa0ur96bcDBJaUU+R9PcudAtFMaRKARkhesCL56QbXnWHGSNwVMKgaAoNZ6SFLUlCiRb3ZCtXsS9Ucp4ka/I39NQaYg9lyVaa8NmN6SuLfcnSROC7tzcHi4W6WlZnmfhCVxrkXTmHqdjlXjK5Y8WlQWr6YY+eaVphz6dyMNTkuu7PTabc2utpSg006QgyWtqKRo3uiAKXKJApWuiwKMd+pzOc4pKu4pTYxFYAt/loRZVjZESa1y4ezXLuUuCktCOPDzlIXBGsRMvRwh3obDIS/ZHCe3I59JmmxfPu0lY6Lsg+6I2bPWczvNRorLInNHplUsb7I9TRklBO3RT3dG8cOe3MiglGHYjPrPT5cJmh1lScpoUTFKX8FBrw1Yv5JXLw4cuqDwlnRa6SVAAF7R+aatDrTVZqTk/VISeImpiyvqtAAHcPJxzeatDO/TxlOQTVzf5yg3YH6d4TdJBWRu6ccDHLw9/aPI5jbXcPlnQCr0V6TyLXitg/zThZJZx+R0E66+xxhrvDGvi2cBay1/9x3+Vv/5P/zpZ7YKR/71P/Xv81d/zV9nr7H3Qh/cjA20s98cJd04WTNMKJeH8sM3Fzc5D5qJlK83xNKPUS/dvzPlhm5vHc2Zp+VD49TyruHE0Y7sfsdEJeeP+jEHLJysqyhpyBJ7n1reTRUG/HbiQdiAOFPvjmn4csNkJySvNLC/dslc4XeB2P0aJxz/MNrsRP/2RXb785jHPj/pIKbg/SkiKGl+6ZhxnxrFOB/kUsrikHC6A3cUwBb4k8BRCWIpSs92NeG53QKVt0+jz1jSxti6+6WCSuc5zYzFYrHHr6qrRiBrp1vzP0nIppZsghQh8TxEop4X0pHDmnVBSaMOX3jxBA7/75XMcznK0sZw/M1kTQvD8+QHHs5w3j2aUtUEa29RYCvLKSR6e2+0xbIfM0pKsMRz5nqCoGgNYk9VZ1gZPWpIcWpGHMS6GKK9q4sBntMhpRT4XNlvEgcdoUTBPK8yG62F/+eLGQ1N4KZ05zDUCPX5hNM/LVRWqNpa7pwu0trQjj8hXxI0x6fpuj0BJnj/XR0nJsBNxrtJkpau3zEtNrxU+cQ3eao5HG7u66NHGMEkrerFPXms6sf/QhqYb+9w7TVbTTHCE+6df3OFomnE8yzHGMmi7+svvRRPRBwW9LCN4Ss2vbPpOq0fDZddYY433FWvi2UAIwY3JDbI643dd/l38yr/+K3z63Kc/6MP6kYI2lm/eGfH6/SlSCtqh13xtzL3ThE9d32K7F1Nrw7fujrlxOKesddPy43R0L+z1ePnCgG/dnTDLm1o/a7l1tEAgePHcBousYpFX+L7LJ8yrmqO6yWT03So48j3meUm/7cirEi6T8up2l1bo9IHGuulXv+Vzf5w2FYuPo6w0J7OC5871ODds8Q++dpe80hgDnoKqCWaXUiDMA33nsl7SRfw8CG932ZOCXuzTCjxK7Qjidi9GN857uXQVvQ1CT+J7ilJrkqLCCqi0I8GVWPbMC4Swz3J3GLOc5EK/FbDRjhgnBYN2wDyrKZeB8kbz7TtjxvOCjY5LAngUg3bAy5c2yKuaWVZyMMlchSbaNVhtdnjh3MClDfTdqnwZo7Q8d55w1aRZaZHS4nmuAckPJaHvVuhOLlHTinwWWc2t4wXjhTMR9qcp373vkZWaj18eri5mBu2QQTtkmpaulvIRzNIKrQ23j+coKbmy2WGeV0yTkqLS7PRjnj/X4/ndAa/dnzw0gQt9tZqoH1bZUzXOu4OYQTvkeJax22/ySo17f9RNi9WjWmfRkCv9CLkKPMXFzQ4XN3949JyPQklBFEgWWU03fpxQG+PCwZ5GTNdYY433B2vieQZ/7ff8Nf7gC3+Qf+flf2et4/wAcH+c8Pr9KRudkPjMdKnfCjiYZHzj9oh/7eVzvHEw5dX9CZudiFYYr243S0u+cXfCZ57b4ne+tMu904STuXNJX93t0GsFDNoB+5MEi5sS9tsBHe2TlbohngrRZEVmhWsPysuaTuSjjaUVeY2+88EHV1bWq9zRJ2G0KEjyinMbLYyF7X7kWoCAqtLMMxchFHkSY/WqcUc0a2uhcIHzzf1JJWn5in4rJA49Qt9Vgh7Pc5Kypqg09llYIuArRa0NvnTVlr2WT5rXbnKoJL4SlPrpWtFHoc846LOyRkq3Mnak0aBwcUV5bVBSc3e0YJqWbPeix9bVUgiubndJipp2oPhXbx4zTdxtdwYtZ7oRgqLWKCHYaPI6K60xCDzljFalxjnytQvLr3RB6Ck2OwGBFzfPUZPmLrHgdFG4PNNAcW+UUmtLUtTU2vBTL+4S+S5n9vpujy/fOGGSFPRagYt6Mm4SL4RAG9eY5DSgFZW29FpuNb7Ia4btiJ1+zOsHU6ra4HsPE0xtLFWt2Ru0nniuA0/xY1c2+fKbJ9w5TehGPkLg2pkqzUcuDh6LIKubvNd3q6H+QYYUgstbXb70xjG1No/FJ03Sgk4UPLXhaY011nh/8KP31+ctcK57jn/3o//uB30YP5Kw1nLnZIGUYkU6K21Im2zKXuwzWhTcO024ebSg2zjKz6LXCsgrza3jBb/jxV02Gm2apyQ3j+b81uuHTNOC43HGyTwjKWq09tHWUtZ6pSmtjSFUCi0l07SgqDTnN9psdiNO5wXWumxHi9PyTdOSF8712eg8WQvn1r22mV5alHSksRs7bWKlLbLSbt39kHvHrf2EedD64wu3vpcIKq3Z8J2buygNx/OMuFCOeJoHE8/lJdSj5FEto54AU7pQ8lnqDDVKCgbtiKKqkVKyyCqeFcsg+aqG41nm7t+49iMtQVhBWEoXZ1QaZmFJd9/nd7y4+9gFX1Fr9voxv/OlXYbdiN987RBfSbqxv9I81rWhrDW+dFNMpSRlWYF1gfe6IVsuCcAjCj06oUfgKTq+avShjliOFyXtyGOjHdKJA8rGSNSKFDePBFe2u1xtor0ub3eoteH1gyn7pwnL7KpeHHB9t8vJLGd/kmLNg3rUsrKMFiV1E2C/3Y84v9HizmnCdj9e6TWLqubm0QIphLv/ccL5jTZ7g/gh0rjTj/kdH9nl3ihh/zTBYHnl0oDDSc5OL3rsfJ7MczY6Tgv8o4gLwzYHk5S7pwn9VrDaqkySErB84urwR5KUr7HG9xPr37A1PhTQxjLLqtUHweEk5XCaOa1bs9I21rLX5Gqe33jyFKgbuXijstKrlfHFzY5rrylqvrs/I6trsspFBY0XBUoJAiXpxh5ZWZPXhmlaUNaaTuTqO3/nR/bY7kV8Z3/K/ihZfVB1Ip9XLg154Xz/qW76OHDmmaLSq7rF0zonnVRM0pK8dFO6syRBikZDCKtcR9vE8pzrxxgLB5OU0cIRjEmSQ+NKn6clgS/Q5YOwdqXEKpB+NTkVEHuKVuwzWRTkVY0uXL6lEILKGISQ+Mo8VsP5NEjA9wQWQaVrrHVtSL6UeL50q3ZtyaRmK/JX9ZVvHs64uNnm8pYjdXlZM05K57YexHzrzpjDaUalDQeTjNsnC5SSSAmBUgy7IZOkoBX4IAyZcuarvAmV94RwUgbpJqNR4DFPK0ZJSlUZPM/lewZKEgcuv7OqjIu7qgVJVhP5FQeTdEU8pRA8t9ej3TQDCWDYDdnpt/jGrVPaoeJ4Ztzk2lOARVt3n8oYDiYpSko+cW0LKSX3xwnH2gXdj+cFSVmz04spmvfqvVHCTi/mU9e2HtIv91sB/VbASxcGq473r9w44dbRnCj0aAUe2himaUk78vnoxY23jyj7IUXoKz59bYt+K+DOScJxkxs77IZc3+lxfvjkvytrrLHG+4c18XwfkeQVRe2cxm7ttV7XPytEQ7Qqbbh7uuDuaULkKzZaIaKJ0rk/SrlxOMf3JU86tcYYbp8k3DyeE3qSzW5ErS3fuO0iZNK8JvAlUvnkhWaycKYWi2u6ObcRM0kqupFGY/n01S1+3ycucXGzvdLgferaFs/v9ZuKSei3A5SE/dOE0SKnNo6M7g5iNtoholkB7/Ri9icJ5wYtAs9NFrHWTQdxqZR1/SDL0U1IJXXdZF+2Aura0Ip8lJTEvmKrFzGa5dw+qUkLF0QuhKAV+UghEbIkzWu3/m563QVu0ukpGHZcK06S11TaNPpIx1QDzx2PboxGzwpP0TQhGfLSkVtrneHINsH0oa+otbvQ6MYBoSfwPcFvvnbM6/dnLimg1Bgskaf47v0paVEzaAe0QoWvYJ5phNYMOyHnNmLSXLPRjjiaZpSVazbKa900HIH13HusG/uEnmQyd01U7vU3CBTzXONJQVhpykozz10AvRQQeJJFXpMV9eq5ns5zvrs/4WiWUzZyhUVREfkeQgoWec3l7Q5Y4TTBxtBvh3Qin3FSMM1K0qKmFXp85vltjqcdbp+4FqLTecFHzg8e0o8aY9kfp3z99oiffnH3sbQHZ44BheCT17YYdiJun8xX7TzP7/W5vN35ka+/jAJvlRecljWyqTl92oXjGmus8f5iTTzfB8zSku8eTDkYp266ogS7/RbP7fWeaDxY42EkRcXRxFUevrY/pao1vXZIy3/w9hTCRSW58HBIivoxx+3pvOD26YLNbsTFzc5Kw9Vr+fyL1w4RCF65tMHJvCDLK4RUeEo7YlvWnMwKokCx0WkRBR4fubDBle2uy4a0D/JBu7FPN/bJypo3Dqb881cPOZ5mSOHyAFuhRy8OeOF8nxfPD5BC8NFLG2Sl5tbRgqTU9CLPTTsrjW7W68uKxuUwqmqqNAWuK/zSlnN919qwKFyFJVKimjD7jU7Ipc02t08WTJKCTuhjjHtu2rp8TU860u5yPl3skK8eRFYFapkHKlBCEEU+2axwx0VTkykciasfGYEGniDwlesEb56MUgJd29UqPPBc7FSuDVlVs9OPSfOaXjsmLWoWjc5SScFWxxH3SrtsT23cmjotXfbpdj9m2InZ24h5/f7UZWla51oXYjk1lhhrVoS7rg2jJsRdCHcuPekyPSNfUjQkO26mhPOsJPAkvtciK+qV2Wy8KPhXbxyzyCo2u6Hrbq8Nx9OcWXLERiek1Iahr4h8j0H7wYSyNobQEw2ZrWiFHsfTjG/fHTNKSm4ezZglJQLXWLTTj5rKUde+dDRJOZ3nq4zZJ8FXkuf2elzd6VBUTjrxpMrMp8FaS1rUaGtpNRP7Hza8l7zgNdZY491j/Vv3HjFLS37r9WNGi5xhJ6TfCihrw52TBaNFwWee2/6R1VM9ikobyiaQfPkH//bxnG/dHTPLKqracDTJGCUFV7chHEiUlORVzTyruDBsE4eeqxZcFISNyQNcjMz+KMFow8Vh+6EPylq7VW9WaYSQvHCuj68Evq/wpGCcFIwWBd04YG8j5vxGG9+TnM5zvn7rlINJisVpKy8O244sNQ0oX3rjmNkZZ/M0LZvMRMG37k7oRD4XNzsM2iE/+cIO/+qNI24cz7i60yVp6jdvHi0oamdQEkJgbKO7tEsXtuT8sM3PfvQ8r+9PeeNoRl7W2Ea/GHiKTstnsxvRa4XsDAzWNlmPccXhJKUy0AoVLV9xuiiIQ0VaarKqph16q1pIJdwa2FrLoqgwuTu3S0IshQu+Xx7fknsuJ7dV5bSyS+6pli1HTe5lbQxKSnd/VjBJCgJfsdOLmz54w+6gRTf2ePNgzuk8pdvy8aXk/iQlK2p6cYDBGZbSUuMp0RB46ETOuGOMZdiNnGEoa16T2KesNWmpCX2JJ10Wpi8Fo6R0U9/aMJrnyG5IGHjoJnEgK2uiwBG3f/X6Ea/en7DIKl48N1i9l0NfcW6jxf1xyiQpGLTd+r/fdhmbyxioeVYx7MQrnerJLOdLb55Q1m6CezD2CPuKShtuHM6QArYbkhl4Cm0t86x6S+K5hJKSVvjOSOP9ccrNoxmni7zRM/tc2e5wZbv7Q0lA11hjje8v1sTzPeKNwxmjRc6FzfZqIuYp1y29P0p4bX/CsLv7I73GKSrNreM5t08WZGWNJyV7Gy1aoeK1e1OUElzabCOEoKhrvnFrxP1xQppXbHRCfE9xYdjm0laHWVYRB4p+HHDzeEFSVMybeKSjaeoaaGrD6Tyn3wpWH5RKCWzpVrAAoe816+qYvQ3XHvPcuT67vRgpBW8czFYZoZ3IEYRbR3Punix4+eIGaVFz62iOELDR1O5ZawkDxTjJiQNFJwq4dTznfNOf3Y0dCX1hr+++JgVlpfnff+MN7o1S12RkQAlF4EnXwy4FZa2ZLArXyqQk7dAnDjyMsXS1z2Yn5M5pwpFJ2e6FdCOfaaAAt0Kc5RW7cUDgSYyFtDLUuqauna7U+CCFpBt5eJ5w0zYBSkiksCSFQRtHrJxLe5lPaSjP1GQWtdPUCiGQOPNMrc2qBcoF4LusT23cGl/lgusDNyWeJG79vRN7KydUrS1FaUi0Rgo3pQwDDyUhLSrSomZ/tCCvDJ4UJLlrXDIGynnu+uQttAOPVy5tcG+cMU9Lrux0UVJwNEk5mReusKC2GGsoK8vJPCcKPOJQOX1kUrCx2+X1+1MscLN57b99b8K1ne5DxrJhJ2Q0z7m63WF/lFLVhiR3dZqB59773cglI3Rjj6/eHJEVNRc22+gmikoIQSfymaUl98cpG91wlSu77I//XuDm0Zyv3jx1hr5WgJRO+/rbbzr3/ieubq3J5xprrPGesCae7wFJUbkPhU74RGK52Y04nuVMk/KpjucfdhSV5rffPOb2aUIn8ulGPpW2vH5/wsnctbm8eH6wuv1GO2Jv2HIxOaXh0naHzW5Mu3GwF5XmwtC1yBxMM+6NEucEty4c+t5oQVpqtjohvVbApe0Og5aruHRGAvc4ncjH89QqZNzlcboP2qKquXE8Y68fc+lMrmE39tkfJ/zqV+5QawsYbh4vGtOOdYHpnsRXCkHKK5ciJklJVtarsO7lVFNJ4VzkWUU7CGgHJZWxSMyqltKTLspIGziZl7x6b0yl4dp2l6xyUUSt0EcoiVKC/XFK4Cme2+2z029xNE25N04BF9eUFoZKG+JAkRaGMHCu79o4chj6kkpbQl/Sb7l+8F4ccjBxbS6ekpzbaDPLKrTRWGNZMs+lFGHp3q60QWNRSiARztBUO+lAVbsAfNeoA5NFyZ2TOXHgkgLkco3fZHEmRYWv3LlNCxx7tdJpUq3mZKbJKo21Fk8pWr5HHHgU2mk8IyDwJdq6XMuidDWbo0XBJK1AuMzQ3DeMk5xau4sIrS0eAuVJtgcxO72YC5sd0rzmfpjSiTySvObG0ZwoUKs0htBXaAtXtjou3F052YIQLrHBWOeivrbTpdaW41nGoNPkxUpJvx1wME5phR7tRpKxyJzGNS9rAk+tVv7vJ9Ki5jv3JvieZHjm71XkK4pIc/Nowe6g9UOd9bnGGmt877Emnu8BVW2oav3EMGJwH0CV1hSNLvFHEbdP5tw+TTi30VqtxSMcyXltf4bWpmnicd/rtwLipupQoIkDb0U651nJySwjDhT/3y9PmacVn7q2xck85/bJnItbHaZJgTUGKyxZqXnzYMaL5/u0Q99NEZtRWify2OqG3D1N0MZwYdihrAxJlnN3tMATguf2+qvnUWvDreM5R9Ocw2nKLC1Jy5pZUtKNfeLQQ1dOL1rVxmksI59+K8CcqSPa7Lrp3jyv6MUBs6x0q+SZpChqhHUr71bgQ2N+CUJHXL52a8SFzQ7gjDnWwlYvpB35DFoBSX7IjcMZp01kjqckvcjHNuc7LzWB59Nr+RxNM6ZpSSBdZWZSul50JYUzTCmJRBL4Ek8KYt+lDaR5STv0SAsLQtIKnaGlrp1WNC0dkRdCEAVuNKqtXTUyWZyG1G/Wx7U2JEXN0TTnlcsb1NqSl/UqyF8KQaEtgXJRRUpKjLEUleuqD32F70lMYSm1q/hUzq2FJ5yLKvQkvThskgVqwFJrF7K+jMUyxkV2SfkgfirwJLuDFtu9mF4r4MKw46QGSjTTaUu/FXAyd1KNC0P3Ps0rja8kV3e6dCJ/ZY6SUpAWbmX/0UsbXN3pscgrJwU5M0Xc6kWcznP33oj8lVO9rDVHs9xNWL8HNZZH04x5Xj6xmz30FUoK7p4ma+K5xhprvCesied7gK8knnIRMU+KJykbh/uPanRJrQ13ThLaoffYObAWOrHPoqiZNdMcgFbocW6jxZ2TBUleUdauR/3+JOX1+1PiQDGeF9w4mrlO7dvOvdyJfDqR0/Alec08rbi6EzNOCm6fLIh9xeWtLreOF3z73oROs64OPcUs09w8nvPG4cxVIVo3ATvbYHJ3lHDneIEQgrSoOJnneFI03eBuzSuk5HReILGU2vKtuyMub/X48psnfOzyJoGnOJgklLXm9YMpm92IqnYTyE7sM0nKlZEpK2q37paCMAh4fq/HvVHKVjdkp9fi7mhBLw5WhpGqNnQi58wtKhedEyh34RMGHpudiHunSUPiBcOm+jPNa2cuEpKsrvCac1JpS78lMdqQVQalJL4UzAsNyrUmedKFtwshqD3XP1+ZB2YlJVxW5yQtsdZRftU8J4tgNC/wlOtg77d95llFUWnGC6ePNMbVXMaBoqjd+ejEPmmlWWRVE9rvDGeZqgn8AF9JsrKmqDWx79EPXURWK/T41NUhd04Tru30mGUl90YJ7cjDWjhdFJS1oRX4DDo+WaFRErpxwIVhm0q7KS04U8qgE3IwTgl7bhI7Sx1hs9ZyOs85v9Fi0A4ZdiL2NlocTzPyShN6Lo2g3wocOW9airJSr95vvTjg2m6PW8dzDiYpZW05neXklc/l7Q4fvzz8niRmFLVuMliffN9RoJhn7rVcJ3asscYa7xZr4vke0I589gYxN47mtELvsT/Go3nBZi/6kV2zl7UhK+uHWoiW8D2nKZwkBdUjE+HzwzZYuHk8p6wM9ycJd04Shp2QVy5tsMhroonHRidgf5QyWhS8fGFA4Cn2Bi0OxhmzrORomqItHIwzLm61iXzFdi9udKEltrD0Wz6DdkDYrEoDT3F/tODmyYI7JwuubHcoasPdkwXTrEQbN0kFmqB1SVEZklITSNtEEhlaoYcnJdd2O5zOC/7B1+4ReIJKO2LWCjxuHy8ompzJjVbIvkwoSkMjQ3WzWQueqlmkNZudCGNZVXMuSafrW0/R1nB5q8M4LVlkFUoJjHWB8m8ezZkuCorauNWvFLR8D2scoVDSGYpqY7l3mhL6zvVuraUVOj3sKCmw2pIXmkVWr5qeLm600NZSlZp6ZilqF2EUxhJlXXc6xpFSJQTtyKcdusghgVulH05SJknF+WGLVui5zM7a0Ap9oCY17jgCTzFZOJd9rx2ghCAvNaGvaIVOyjFa5PjKVZlq45z8rVAxSSs6UcBPvLDNV2+c8MbBjLTQrjvdd+azJC8ZJTlFqTFAK/CR0pKkFUfTjKRwWs3Q92iFPqezHIOlbTzSoma0yOlEwSrNAByR7MVPXo2HvuLydodv3B7RibxVbNdWN6Iderx2f0IvCvixq0O2ujFbveihes33E56Ub5nVWmlDOwrXpHONNdZ4T1gTz/eI5/b6nM5L9scJw45rkSmbyJbQk7x47unB4j/s8JRASUmtH8+BlEKw2Y24dbJYRSQtYa3FCvipF3bpt3y+dnvEIqtohYqDqeuuFrjsy27kczBJSQqnfeuEPheGME4UV3Z6gOX+OCX05EN5nAB3ThZ8886IT17dYu9MIL0UguN5wf7YRTNlZc3BJMVvTGOn87zpHq9QTT92mpfkwpE13azLNzoRO72YvNT8xmuHnBu2eOWSm1btbbQpqprX7k+ZLHLK2mC0+9QPfQWWhyKc9icpL190q/+kqB96T7kIIkcKnW6xwBjot3xiXzFOilXGbFHVdH3XyJOWGoVlkrjMSnAktBd7BI1OMgoUoadIm9rQbuQhhGSSFCRFzcVhm2EndI1HQhMHrve9qA094ZzsUgqscI1FnVjhKUXkK6RSZGXltJJFjRQarCNqgaeaTnrotVsssnqVAdoJnenH8xTTRcG5YZtASuJQMUlKN7WWYvXvUaBWWstXLg45v9FmvCh4fm/A0SyhGwWkRek62vOSqnbmJ6lcjes//45mUVTsdFu0ItW8R93r1G8H3B+n1LEhLSsub3XfcYzatZ0uo0XOvVFKN/KJAvc3ZJaWPLfb5zPPbTP4HqzWH8VWLyIOFIu8eiyqbJmtevHS42v4NdZYY413gjXxfI8YtEM+8/wWr+1POZ5mnC4KfCnZ7ke8sNdn9yk9yz8KCDzF+WGLV/cndOPHA/U9Jbm82cFY2B8nRL5HrQ1FpdnqRVhsQ8xcvqYxcOto7uJ/Gr2c5yk8KZln1Ur3VlQukufKdofbx3Oshd1+67FJUVY6p/Q4KdgZxGcmVD7nNlq8fn/KySzDWOumai3JOClXMTxag7aGqplyCgWt0EcpwU4/5vzQBbSPkhQhaUwrrMLvi8oQ+R6jpOJgnGCg0baCkAJfKbeKbghpkld84soW90YJk8w5z9Oy5u7pgiTTdFpeQ1oFG52AfisiKZwWshcHGGPJK01QunpOrGVeVNRmSaQcobcIei2PSluOpzmBJ/GUYKMdcnWni6cEN48WjJq4ne1eTG0so0VOVRsiz8NDk5Y1ZW2IfY+yqrHSYq3TlHqeotZORuEkAx6+J7m21yPynPSgE3qMkoJAKa7u9Pj23dGqQrW2LiLr+XN9LgzbvHE4AwuXt5wp6vywTTd2+sjRPOeVy0N+8vkd2g2h2upGDLsBSsHhJGN/nFFUpjGIQa0lm90ATyn2xwmelIxVzt5ww00GjSP5WaX5+OUhP/7cNhvtiE70+Obj7RAHHp+5vs3t3oLbJ4sm8F3y8sUNLm93njotfb/RbwVc2+nxnXtjau1el+Xv2ek8Z2+jxbkn6D/XWGONNd4J1sTzfcCwE/FTL4RM05KyNvjKOVPf70lnWrj1ZuCrVafzhx1XtrvNB3vKdi9yOYTGMk1Likrzs6+coxsH3BslzNKSwPO5MOyQlTXfuD1idxCTlXrVCNSKPEaLHJqoHrd+dZ3qh1NHQBGwM4gpSt2YeJz551GUtaYVumlb3eRhgnNSX93pMl4UjJOCcTNFXBSuUlEImsYZRaXdfxuj2GiH9Fs+eWWIA4+dXgshXFZl7HtNprrrDzqcZNw6nlNrQ621awvynSZS4oLYlRR4SoEHQhjyyvDjz21zebvD7X/2Bm8czPCVRGtLbTXWKMaLAotdGbLA1ZF2Io9+y+fOqUsBqCqzyuHUxtCNAza7IXVtmWUlk6RknpWkhauTjDynQ/SU5OKwhbGWbuSTV85M1Ao8tnoxQSCZJRXGWgLP6TxbkaL2FbPUdZRXWjNJDUq4KaXyXKvRsO1qC8+iFweMFyU7/Yi9wQU3efYkt08WPL/Xd3FbSnJ+o8XNozl5qem1Qq5td5FKMFoUfPzKJj/x/A6tM+dkqxdxeavL6wdTlBQssqpJELB4UtCLA7b6bfKi5rjKGQxCsLDfTCWFcBcddW24vttbVX2+W0SBS3e4tttzYftKPqQx/n7h5YsDfE9y43DO/Umymuxe2+3y8oWNH5i/O2usscaHF2vi+T5BCPE9W4dNkoI3D2ccTLIVQbq42ebaTnc1wfmwot8K+PT1Lb59b8zxNG96wC3dKOQTVze5tttDCsHemcmwNoZ//M37K01fL3YubNusnvtxyCIrGXQd2c9K173uuro9uq2AV+9NOJxkPL/XIz1Tc3gWke9CumPh1vbGWpK8Qhu3Kj+3EdOJApK8phMFBEoy7IWkec3xLCP0FRbn6F46oo9nuWvd6UWkRcUkcev3sjYMuwopXH3i7ZM5nhT0WxHH84zYd9mVvpJkRePq9iVKQFYajHHShH4r4HCScWHYohM6TeA4zSlOddO0U9GNw1WouTZmZea5st0lrw3jRe5c1kKgjV3pIQOlCD1BXutmGtxELdVgPcU8L3n1Xsl4kTPohJS1i2e6dTJnp9dy2ZiixzwtuXky59JWm6K0HE1TTGCcUUwbKhdWSmUNFonWsNENH5I7LGGMqwyVDRnstQL2Bi3+xWuHzXNwt9sbtKi04Y2DGW3PZ5qWRKHi+k6Xj1zYeIh0gost+rGrmygJt48XeM05Cn1FLw4coZWSWaWbdArD9kaLnX6LKFDOHBf55FW9Mh29H/A/YDOikpKPnB9wZauzMru1m3SGNdZYY433A2vi+SHH6TznS2+cMM0KNtohncgjLzXfujvidJ7zmee2P/Tkc7Mb8Ts/ssdoXpBXbo047IRPrfDLK7emXZKFQTukHTrX96DtnMvGWufMLjT9VsDHNtsIKSlqjRQSd9eCQSsA4dbUj56nYTfi9YMpse+xyCv2xwmLrKJuMhwDT7I3gEtb7dWUc0liw0Y7GXiSVuDRiX1O5wXGGs5vdFDSOeHvjzMK7Z7Pdi9GCMF4UVBWhq1eRG3chLwduklp6DlSEwZqNTGPfKc7/ciFAaU23B0lPLc3oNKG42lKWtaAQEhFv+Vagax1OZhFZfCaDMzAk5wftIg9xd1RQuA5/W0ceLSCs1IIZxCS0ORtenSbc5eXmsNJBtBkmbpp3VlNoLaW5/Z6TX2sZasXczzPEAICJVfVoK3Q3W9WadQjFx9LTNOKzV740P33mouZb9wecX+cInBVnpHv8Xs/foFLWy72KG6qS5+GyFd8+vo2d04XnC5ywAWzd+MA0YQqGVh13CNgsxM+tG7eHyXYZ6+y/4FBFHjsresk11hjje8B1n9ZPsQw1vLa/oR5VnJx2F4Rg8BTdCKfu6MFbx7N+PjlzafexywtuTdOOJo6srDTizk/bH/fJxjLHvNngWqCyLV5YLa5vtvlzcM5p4sCKWGWVRxOcjSWj14acn3XrWiNsRice3qR18xy5wa/c5rgKbkiu9ZarDFs92OSvOKrt07xlXBB77Wmrg1lXfPm0ZzPXN+mqDSH0wzfkxxOMrQ2hMpN6+KOx/lhm92+m7p5ShD5bgK6yGvG85xOHFDWNdO05GiaufYea5kkBbuDFv//9v48xtL8ru9438/+nH2rU3tV7zM9q8eesY2Jc8MErjHKTQAplnxFiJ0EJCNAIEuBGKTgKIkcRY4ixUkIKJJB2SCLbIQUkC0FDPcSLoxnxjPjGc/Se+1VZz/n2Zf7x3P6dNdUVU/3THdVTff3JbXl7qo+9auna7q/9fv9vt+P44b03YD2yMdexWwcAABWdUlEQVTSNQxVY6ps4UcxrYFHo2zz5HKdoRvi+Fl8qKIo1Aom9bKNomSxjo4f0R0FbPdcLEPHMlTsKLuj2XECRn5EOI7EhGynPrt0mpVXSZoSRtkRsqYqGKpCEMd0RwGmpoKaXXFY77hU89mOnxdku7uaqjLyQ3RNZapkc2GjP868L9J63UVRFNwgmnRO62o2+sgdx14GUTwZ1ZOk2XWMJE051SzvubbSLOf4K+dn2e7f2L2tFy2qBfOO7lgqisK52SrfudxG1xT6TjgpOoFxcR5jGhaWru/65iVJUuI03ZXDLoQQ4tak8DzGuiOfrV5WdLz9H1NVzY72V1sjzs1WJkerN1vvOHzn8g4DN5zsHm51XS5vDXjyZGPfQdHHgW3qTFdsLm8PJjtd5bzJI4tVuiOf9Y5Drqrz9JkpLm31qRdvFLSqmiXlQDYkfrXt8NhSDUNXubYzzO5QjovaYs7gEx9Y5NsXtnG3h+iqij8e4XNqukycJDx/cYfWwOPkdBk/SnhtpcvQC7ImIVXF0hXmank6w4DZao5zcxW2+x7toU+cpNQLJrNlm42ey4uXW3RHAUMnIAamyzanZsrMVHK87vjZzl2aZl3ofkjP8VAVhelqnmcfX6BSsNjquVmqz5iiKDSKNtOVHJe3+uNfg74foXghqqoSjkc2tQcejVL2vq2BRzxObIqThL4bUrLNrPCMs0z1NM2OnlUla8Ryguz+bBKDosaoSnYM23dCRt6ARslivpZnppqfDLg3NJWRFxFGCdPlHGGS0hn6jLwsqUmLE2rjgfVvrvcmX6tpmiVFPXWywXx9/wY9cxyl+l6dnSuzNFXkjfUuqpIlkuWtLJI0iOPsnm2a0iznKI7DItI0ZbPnUitYTD/ADYRCCHGnpPA8xoIwIYzjAy/024ZGZxjghfGewnPkhbx0pUUQJSxN3UgaaZRgp+/x8pUW5Zx5YOrSUTvRLLPZddnquTRKFpqaHRXnxk0sT5zIxuKstkfcan8rJUuF+dDpJieaJXb6HlGSDQrPGpciLF3jw+ems/unZIWvpiq0Bh45U2dn6LHQKJA3NUgTbFPPdv8UBdvI9sfaAw+FlMWpIs1Kjvlx7GcKvLXeY6U1omBp40ShbHh6Z+ST67h4YUTO0Hl4ocZO32W966ACmqZyfqHKB09P4QUx/5/X1vHChNXWkCRJONksT8YGuX5MlGbXFJI4xY+j7LqAoWXd3eP5o4amjWMZLfqjgOlSjs640UtVswHucZI1Hdm6mg1s92OSNJvNef1UWUuy9aVpSrNsYxkainK9m9zM7uSSYugqPSebf9os23QdH9tQsXUby9Ap502iJGa2kqdatKgUTM7PV7EMnWbFnkSN3kuWofMjH1wiimIubA6yWZ5DbxJtutws0ijd+HNLyaYcVAsWT52ckoYbIYS4A/es8Lx8+TL/9J/+U/7P//k/bGxsMD8/z9/5O3+HX/3VX8U05WjqduiaiqZkudf7NRyEUXasu9/bNroufSdgsbF3R6gxjorc6I4o5ar3Yunv2VTZ5oOnm7y20mGj446DLlPylsFjyzXOjuMsK3mLnuPvu+M78iMKZlbcqIpCs5yjWc7tep++ExCn6b5D7sv5rDAfOGE2RL7tAAozlRwoMHQDpsr5rLt9e8ilrQEoCtW8RcHWmankSIGr4+71eqnIVMkmihNW2yM6js9Ke8jIt3j8RD3rTk8SFhpFzs6W8aOY9faItbZDvWjRLGev13M8Xlvpkqaw2ChwZWuAoiqcbpb43loXx4+ybyhSUJUs9rE/CsYpQ/DYUpXHl2u8dLnFatvB1BX8KBtjlaU5qbRGPpqmEkTppNNbURTCKMt1N3WVxXqB7b7Hla0BT59pMvAi2kMfRcmK9rW2g6FrjMYpQ34Y0XeCcYxm1sBlGxrb/QBFVViaynLQZ6r5Q5lbebO5WoH/9189x3evdXhjrUvPCbJu7ukSjyzWyFsGmz2HVt9DURVmKzlmq/ljf79aCCGOm3tWeH7ve98jSRJ+4zd+g7Nnz/LKK6/w0z/904xGI7785S/fqw97X6kVTeolm87QZ7qS2/P2juNzsrl/Z3t33Piy3303ZTyIuz3078m675a5Wp5GyWK77+GN7wFOlexdn++JZpHnLrh7moeCKItefHi+umcY9s1MPRtbFETxnvE1hqYyVbYZeiE7PZfO0MfQFaI4wQuzgerFnMFOzyUaF26qAgU7S7F5c6NHkmS56qauUh7vLuuaymw1G0m03fWy6wNth5yZxSmeapawTZ1rO1m853wtz8jPYkXrRYtHF+soKLy53qcz9GmN75BGcda1Y+oqqpKNeQrihK1xCpA+Hi8UJ9k3H99/fpaNrstG12G9PeLkdJmHF6pc3urz2kqH7632SJMbO6AAuq6QJCm6ln1tzVRzrHddLmxm6V2vXG1nEZJumMWJRjFdJ2DoheNYymx2apJmr3E9MrNWMClYBp2hjx/Gb/9jetd23WV9B6Wcyfc9NMMzZ5pZsa2paDd1rNeLFizctaUJIcQD6Z4Vnp/85Cf55Cc/Ofn56dOnef311/n1X//1AwtP3/fx/RvFUL/fv1fLe1/QVJWzsxW+fXGbrZ47mVnoh1nDSdEyJ001b6co3DL+Lnmf5C2/0z2+pakiIz/izbUe3ZGPoWejbyCbIfrwQvWWr18rWkyVc7T63p5xPo4f0ndCTjbLGBr4YTyeo5pln9dKFn6YjTCqFiycMMqKtCTLF49ihbc2+wy9kMVGcVdhaxka87UC2z13MnB+sVEcj2VS2Ol7vHK1xdANiSspfhBx1fHZ6rmcmi7z2FIdTesShDHFnMFCvcDIz5qk/CDOxjFpKrp2Y+fc8SPiOKDvBDRKWfTiQr3AdCVHvWDx0YdmmK/nGXkRyTzs9H26Q49wnMeezSsFQ89GDrlBTCmvoysK3ZFHa5AycLMkosVGkUapgBdEaJqCf9OzSRUm6TxbPY+psk2zkiccNzTp73GcUJqmbPc9VtsjdvouqqowVyuwcJtNdfr4uQkhhLj7DvWOZ6/Xo16vH/j2L33pS/yTf/JPDnFFx9/C+Kj8jfUu2z13slM0Xc1xfr62q7HmZlMlm4ub/Swq8G1zBpMkJRo3e7zfqYrCIwtVZio5NroOQy+cZLZPV94511pTFR6er/Kcu81ae5TdwVTh4uaAK9tDDF2laBvEQLVg4gQx87X85O7hTt8b94OnWLpKe+jRHQVomoKuqPSdAJWs+/ztDE3FNrPkpZlqbtId7fgRV7YHeGE22L1SsMibOnacsN13eeVqm8eXajSKWW52FCcYmsbFzT6unw1519Xs190gGScZWThBhBfFxONdwDTN0nfeXO8RRgnGhW1WW3kUJRundG6ujBsUeG2lk41G0lWSOEtbsg2dOEnGI6RSCrZJ3w3ImTq1ok1r6OOHCfWSlU0aSLOCzjSUSSymoam4QZzNXrV12kOfetHe1SXuBREDL+s0L+eNdxyqnqYpb230ePValyiJKVgGYZzy3Wttrm4P+eCpxqGlid0ceSqEECJzaIXnhQsX+MpXvsK/+lf/6sD3+cIXvsDnP//5yc/7/T5LS0uHsbxjbaFRYKaaoz30ieIEy8iaVG71j9pMNc9UyWa9O2KueiMuMk4SNrsu9ZLNbPX9X3jCuLO7ZN9RPvbNpis5Pny2yYWNPtt9l9WdEdsDl/n6jSH9cZLQHQS8sd6lM/IJ4xTLUBm6Ia4fESYpBctgtlogHXdDx0k6niaQ4vghpbfNlPSimKJtkKRgajcKqs7Qwwmi7BsGXcHSVbYHbpaMFcSMgoggjCnYBk+eqLPV91ht9dFVNdtpHe8cqqpCnCRESTa6SNcUvDAhTrJh7tdaI1671iGMYioFi6utIRc3+xi6OonXnKvn8cOY1faIoq3Tc4LxwPR0Em9qWzqOF6OgMF2xqeQtoiTJ5p56EbapcaJZoj3wKOezcUdRkqAqCo2ihaVrXGuNyJsGZ2crDNyQa60h373WoT3wJ9cUakWbE80iZ2bLB35D0Rr4vLbSJWdqlPM3vr7rRYvNrsvLV9tUCtY9awiKk4SNjsu11pC+m42gWmgUWKgX9wyxF0KIB9Ed/034xS9+8R13Jf/yL/+SZ555ZvLztbU1PvnJT/KpT32Kn/qpnzrw91mWhWUdblPB+4Wuqfve8zyIZWg8dWqK71xujYds3yhSG2WLD5yY2rch50HVLOeYKtls9hy8IGZhqkCznMMLY0Zedl/x/GKNziiLfTS0bEdRHR9Bq0p27D9T2b2bdq01xPMjem5Iqjg0ihaQHXu7YUSjlGO6kqPvBQRx1tyz0XMYeSFTZXsyP7Q78rGMLJVJVVWCKCZyUrwgQldhe+AxXbYp5gx6oyzNCa7fYYWu42NqKou1AnnDYKU14q31HmmaUMoZVPMmuqYS6gk9JyCMY3RFZWVnRNE20FSV7iiglDOyGZtugEL2dRmGCaW8Sc4w0bXs60xXVSBFUcH3Es7MlLKZooaOoir0Rj6aopCzNLwgxjZ0PnR6iihJ+NNX17PRSl6IpWuoGpNi+qUrPl4QcXK6TJRkA/dvvtu71h5lo5v2+W+lWbZZ64zY6josN99bxOV+4iTh5SttLmz2x5+bztCPeOFSi9XWiA+dblKWBCAhxAPujiuPn/u5n+PTn/70Ld/n5MmTk/+/trbGs88+y8c+9jF+8zd/844XKN69asHiYw/PsN3z6DrZ3dlq3qJZsY8kB/q4iJOUnb7LVt/FD2IKOSMb51MwCaMs8ccyNN5a79EZ+SRJ1lRTL9qcmSvT7vvM1Gz8MCFv6Lyx0cPStT3Fjh/GlGyTxXoBQ1fY7Hpca41QFQXb0GhWbJ5YbvDoUo3tnseV7QFuEKGrKnO1PGfnKlzaHPDylTZ5S8PUVNIU/DBCUTQeX6wyCqIsJ72UpSCZmja5B6yo2TipIMoGxmd3Qxs8+/gcr691ubYzpGDpNEr2ZPfcMjTyps7FrT5LM3kMLctY/+CpxqQAjpOU2WoeL8xGUVlGdg/Xj2K2ei658eUDRVHGa04ZehGlnMnD81XKOZOUbOD9wM267f8fj84B8H/f2GDkRygKLNQLk5SqzsijM1JplCz++LvrzKx2MHUdUx8/q9kK5bxJa+iRO2BnUVUVFBQGXnhPvq6u7Yx4a6PHVDm3a0c1KaSsdUa8eq3NRx6akeN3IcQD7Y4Lz6mpKaampm7rfVdXV3n22Wd5+umn+epXv4r6DvftxN1n6lp21LfPWKX7WZKmpGm650g2iGJeutLi6s6INE3QVY0ginnL7HFuroJlaDh+yHbPwwsiCraBrioEUcJqa0TO1JivF/j4+VmSdNyk9fzV7E5mEGONc7zdIMILIhbqRWwzK8z+xtMVrm4PccOIcs6kWc5RL2VXJgrTBsvNIlGccG1nyPMXd8iZOtW8STmvoygqIz+aJPucna1wolmmPfQYeCHzjQLVnEnRNri0NSAIY4ZuSBinpClU8iZTZZtHlqpUClbWaJSkVAt7r2yoqkJx3Dz0iWeW2Ow5bPU85uoF/CDGMFSmSzZtx6c79Bm6EZahYeoaPSdk5EfkLI00TcmZBjkzy7Z/eL5KtWBO/kx0zaDvBDw8X6VRsnn5atYYFScJKEzGhKnjEVUbPZf20GfoBtSLFgt1Gy+MubDRpzMM+PDZJpqqkiTRwV8X7L3zfDfEScqV7QGWoe05xldVhalyjs3xZIR3eyVECCHuB/fsrHVtbY0f+IEfYHl5mS9/+ctsb29P3jY7O3uvPqy4jw29kIGb7VaV88au4eJJmiXibPezofNDL4twLOcMlqaKzNWye67fW+lyaXPAdCW3Kyt+4Ia8ttLl5EyRVt8jTqFZupEYpY8bga7uDCb3Da8XMI8t1yeFXHvgoyiQM3ROTJeZq2ZNT5ahUS1Yt5xPqSrKpIv/yvaQjY5DkmY719W8hRvG9J2scDk3X0VRsl3VgRMAChpweqZMdxiw0h6RswxKqjKOscwK4ryZfc6Kkg2bt/T9vxnUlOyZ5m2dp6ems6jLJEs6ut51vtFx+P++voEbxLhBTCVvMlPNsdV1afV9VFVh6AUYmsJcvYRl6vSdEMvIiv2BG9Io2Tw0XwVgq+eStwx6TjA+qr8hO57PZmvWi9kOra6pFDWVvKWz2hpxYbPPXC3HZtfZt7EniLJM+IMa8t4LP4wZeuGBA+9tQ2MnThj5EY27f8ovhBDvG/es8PzGN77BW2+9xVtvvcXi4uKut12frSfev9I0m0/p+tE4vtO8Z8f3Xhjz+mqHldYIN8hmPBYsnaWpAg/NV/GCmFevtbm0NeDy9mAyQH26msPxDFbaI2YreRYbBS5t9akWrF1FJ2TxjG4Qsd52SMefX6qwKxUpTrIUJJRs7uf1ofNLjSIrO0OKOZ0kAVDIW9kxsB/GBFGK44X8yavrpGTRi/O1g4ek26bOB09N8Z0rO7y51qc7CkjJCtOZap5T02VI4eJGn4ubffKWjq4pXL08xNKzo+2H5rImnZ4bcLJS4rGlBnGS8OZ6n5lqnulKHk1V8MJ4z/D8KE6y2Zp5a7I7ud+A/elqjofnK1nB3xsBKaauUcwZmLpKtZDtmp6pF3hsqc7ACxh6EW4QYWgqjy3XWZ4qTuasKmRJT5ah0XWCXR/LHxe3jZJNnKYYxo3CVFWyrv31jsOHzzSpFS02Og7TldykSL5+V3Z5qnhPdhxVhcl80v1c/ztPk2N2IcQD7p4Vnp/97Gf57Gc/e69eXhyhgRvy+lqH9Y4zHpquUM6bnJ4pcXK6fFfvsEVxwncut7i6PaBWtKgXLVKySNBXV7KEGS9MaPU9em42SqlesPCihO2ehx8kJEnKq9faVPMWQy/kzGx5fDS8e1etlDNY64yo5i3CJHvNnKWjKVmyTxTHzNcLFC19kvIDWdPKYqPI5e0BtYJF0dZJgYEbcG1nRBDHXN6Bom2gkO3sXd7s88SJxq440+uSNCUZZ4P7QczADchZWWd4OWeiqQoXN/ustEdYpsYjizXKeZM31rr8xRtb+FFE3wmpFm0emqtyeraMPc5k3+g67PQ9Ts+UWKgXWGkNmavlsY3sc/HCiMH4OZ5olm4ZqaoqCo8s1inmTP7v6xtc2hyQptlM02bJZuCGWOMd1jfWeyhKduT/yGKd2Wp+zzcqs7U8373apl60J0PvjfGfURglkKbomoKmqlTzu4t2y9AYeiG6pvKh01O8dKXF5nj8GGTNTsvNIk8uNyY71UMvnAQH3Cpk4HbYZhbxeWVruO9rDca7odWiNBcJIR5s0tYs7ojjRzx/cZutvkujaNMs57JRQ6OAFy+1iJOUc3PVu/bxNnsuK60Bs9X8pAhRyFJmTF3jlSttDENjtpLjjfUucZLSGXqQghNEXAz7nJopUbRNElJSUq7tDPHCmLOzlT3DylVFoWAb1EsWPSegNfCIEyjldJqlEpapEkZZhGR35NMa+MRJQr1ooioltvoeK+P8eEPL0oOaJZv5emFybN8AWgOPl6+2KedNKnkTP4xZ7zhc2R5wYbPPyA3JWzrlgknBNmgPPUzdwTZ03CDiys4QFVicKlErmHRGASMvwjRUElQUVUFVIUoS4jgBI8toT1MFP8wGzD/7xAJ/+PxV2kMfXQvHx9dZN/Z8Nc+5uco7fhOhqQonmyUWGwU22g5bfRdvPH4pSlKWp4qTTu4oTtjue7x6rUslb+0pPOdrea5sDQjimGbZZrPrYZsapq7QdQJULYvsXJwuULR3/9UVRDGGpk7mrv6V83Ns91xGfnbfszp+jltdlwsbPa7tDAnibM5npWAyW81zZqZCrfjup2qcaJYmhX29aI3HTmXfJPVGAY8u1Q8le14IIY4zKTzFHVlpDdnsuSzUC5OdI01VaZRsuiOftzb6d3Vm4UY3GwVl7HMX0dRVOqPszuNaZ8RWz6VoZ0PG4zRm6Id4QdZkM1fL4wXZ3ExT02j1PWoFm5mbZpkO3JD5WoEkzbrebVNnppxD01RqhWzc0Gp7xFwtz/99Y4s31rpZEWdqlGyD6UqOMzPlSaHVHfm8crXN3E1F53WNks21nSFrnRG6pvDCpR022g7bA4+dvotlaERJQs7SeXSpxkpryFbXY7Pr4EUxKnB+sUazbOMEMZe2BqQk1AoWXpQNeJ+p2PRGIZe2BpxfqE7mb14vtk9Pl/ibz5zgO5dbbPVdAGxDZ7aa5/xCdU+S063oqsriVJHFqSJ9J6A99KgVSrt2/7Ko0Bwr7RErrSGV/O4wiWrB4gMnG7x8tY2rxZRyejaIfjzv9FS+RNEyWGwUdz3PdHy/9+T0jY9naCrzNyVe9d2Av3xzi6vbA9Y6Dn6UYGow9LKrG64f0x4EPHN26l3fAW2Wczx1copXr3VY64yALD0sZ2o8vFDl4fnKu3pdIYS4n0jhKW5bnKSstLJB4vt1BpfzJmutETsDj2Vr7xHyu+GF8b5FJ8D163RemDWq6KpC3tRRFIXAz64AWEbWaV3OR+RNg5JtsNlz0VSFnYHLdCVrIBp5IWGccKJZZKU94sJGHy+Ms/uTqophqORMHUNV+T8vrbLacTB1hWrBJhdlQ9uDOCGIEr7voRmmKzk2ew66ph64a5gzddoDH8cLWW871IomG12HZjlHztQJopiNjkPe0jk1XcbUVJqVPLWCyWsrHWbHCTztQXblYapkE8Ypw9aIRM+636sFi67j03MCNFWhaGfd7ZAN3l9ulpit5dnpe4RxgqlrNEp7dyPvRHvo4wYxU6W9szQVRaFkG6y2RtSLFts9j54TTMYizVTzfPyRWTa7WQd4nCQUbYOpco4winnxcnaEXi9akzu0rYFPKWdyZmb/wi5OUl650ma775IAuqYwU8m+GXCCiO2ex0PzFfquz5vrfT5y1nrXcbKLjSJTJZutfjYVIfumzKIyHpwvhBAPOik8xW3LEm+yeMb9qIoCSnYcereULIONtrP/x1MVNC3r2laBvKVPiqeb7/YpQHvgs3Aiy+tOSFltjXADh5yh0XdDFODcfJWhG7LZdTg1U6bvZM0wWWqRz2bkoimwNfCo5A0sI7vrCdlOYd8JUFC4vDWgWc46r2/VSJek2QD49jCiUbJxgjDb3RvfqzR1DUPPZmM2yzkqheyO6olmEX2cSW9oKl3HxxoXipWcyabmEsYxUZRgGTpJkrLRHVEr2Dx5orGnUcjUtV27g+9VkqbcqsRSFYXV9oihF5CmCrapZWOkWsOseapZYuiFtIYeSZLlv4dRwmwtz1MnG1zaHtDqe4RJOkkGOjd38DF5a+Cx2XMo5QzWOw5F+0YRmDezqws7A5+lqQJbPYe+G95WpvtBbFNneZ+7u0IIIaTwFHdA17JIxoEb7tt0EicpkEVJ3i1z9TwXt/o4frTn+H7ghsxU8mz1XFIVKprFzsADsuImiJLJ+CDIjkJNXePsbJk0yYZ6b/RcDE2hkrfY7Dq8eHmHuVoWlRknKSMvzO6NjnxeubqDG6TkDI3SuHixdJWhHzJwA8o5Ey+IJvccG0WbN9MecZLsmicaxQntoceb632qeZOhF/LQQpUkyYrUm1OmcoaOE0QEUTwpZOtFi6mSxXbPZbaWRyGLxgzjhChJaJZscpaOGyYMPJe+G2THwKcanJwu37U/m4Nc33WO4mTPHVqAtc6I9tBjqVGgeFOMaJwkfG+ly0tXWsyMh/FvdFxaQ480TZkZ3zs9O1fhkYUqcZJdt3in3cShFxIl2XilKE4pWrvXlDN1Bl6IrmVfM0EUv+dnMPRCdvoecZJl2z/ooQ1CCHGdFJ7itqmKwvJUkecubE92227WGflU8hbN8nvPgO+NfF5b7bKyM2C96xJECY2CRT6nk8QpYZxgWzofOjPFm2s9nr+0w1TBppwz6LkBIzebO5miYGgqi43C5P5fkqR0HJ960eaRxdpktFJr4PHGeg9Dc2mWsvjJct4kSVKutYbYhk5n5FKw9JsKHYX8uDgs5028IMYPY5I0ZapsUS9ZrHUc5qp5dC2Luryw0ePyVpYapGoKnZHPaysdqnkTVVEnndZhnNAZ+fQcn7fWszWeGGfHP7Hc4PmLO1zc7NMauKy0HAwtm215crrIo0t1kiTLiG8NA37g8XlO3IOYyP1MlW0aJYutnstcLb+rKHT8kFY/u5dbfFt2fRSnjPyQgRuxUC+w1nYI4piFeoEoTnD9eDKj9UOnpm479lIZ/9BUFU3NcuJN9aYiMAurIoyS7FrFPsXy7YqTlDfWulza7I8TmLLPvVoweXSxdld3loUQ4v1ICk9xRxYaBTa7DldbI8o5g7ylEycp3VGAriqcX6jumZF5p95a7/GHL1xlq+9mSTRpwlbP47UooVYwKeVMcqbGqZnyOGM9R2vg44cxZc3ENnWMRjbPsjsKSBOypqEkK2xW2w5KqnBmprxnrUXbIIhidobe5Mg7ShKCMMY2tMm8xpt381Q1i7KM4iSLqiTljbUe7YFH3w3Y6rls91wq+WxHdqfvMlfPc262gmloOH5EFCW0Rz6GptJzA3KmxnbPoz3wKdo6Xcen72Sd7usdh4V6gUeXqmx0R/hxjKEr2LpGtWThBDEXN/ucni7jRwmnZ0p7Cp7rHeZbPYcgyvLaZ6sHzxa9HVGcZLNOdZXHl7LC+FprRCmXpT9l+fTZVYL9krR6TkAYZTvma61RlmVfzO7gGpqK40eTfPg31/vMjSM130mlYGJoGgoplYJJa+DRKN74c3fCkNlqge4oYK6Wf0956m9t9HjlWptK3mSxmN0jjZOE1sDnhUs7mLo2uWMrhBAPIik8xR0xdY0Pnm5SKVpc2x7RGQaoKsxWc5yaLt9RJ/R+2gOP//38VTojnxPNEpqqsNl1yZshvqqgaRpPnaxTLdq0Bj4vXmrxkXPTfOj0FG+u97IRRLns/uXQC7m42QOy4nGj65AzdWZrOSxdpfS2AsPUs1Se613Sy40iqqqgKgqKqhKnULAMLFPDDaJsLqeSdYoDdB0fP4h5fa3HS5fbGLrGVPnGTEvHD1AUeGK5vqtoapZzXN0eZEWVqmLpKm+s9fCiBEtXydsGmqrx2HKJvKnz0uUWBUvn2s4Iy9D5fz65RHvgcWVnOBnof3Wc+/7EcoMPnJzaVaB5QcSLl3ZY62TD8nX1+k5sn/MLVU7PlG+7Eeb6KK31zoi1jkOcpORNnRPNEk+fmWKz57LaGhIn0KzkmK7keH2tu+/re2GEqkIQJfTdgGphd5OPaWgMvJClqSKbPZf2wGOm+s5fb7WCxXw9z6WtAVMle3J/tGRnoQFKqpDECbmCxdnbGCF1EC+IuLQ5oGQblG/azdVUlelKjtXWiMvbfSk8hRAPNCk8xR2zDI1HFmqcmSnjBtndw6Kt35Wu3VeuZd3Hs7U83aFP383uyhVsg3rBpOv4tEYB09UCs9Uc11oj1tojnjjRwDJUrm6P2O77QDYD8ukz0zw0VyGIEtIUcpbGRsfhBbe152MXbZ1K3mC1PcLQVFJSIDu+rtgG6+0Ri/U8Iz/GI87uBaoqUZJ11cdJSqNkQUo2Qonsrl+SwpnZMmutEV0nyEZR3VQILtTzJEnKSnvE9iCbAakoCrW8QbVgM1vLdnUrBRNVUbi2M+TN9R6bPYfGOOt9qpyjYBt0RwFDL6BkGxRsg6dONnY1yqRpyivX2lxtjZi7aTYqZDuOr1xtU7CMd/wGoucErLSGvLHW5eLmgDhJWGwUmCrlstFFF7Y42Szx1KkpHp6vkqTZ7FPIGr1WWnsHratKlqRk6lnO+9tjM5Mke43sm4PsaP52KIrCE8t14jRlre1QtHWCMGG1nV1PWGgUOTOb3R19L9dE2kOfoRcyX9//2VUKJlu9rNvd3icJSgghHgTyt59410xdu+sNE1e3B4Rxwnp7RBgnhFGCG0bEaYIf6iRJwk7Pg4WsoCjnDNbaI84v1HhsKWue6Y0jJku2se+xacE2UFVlzz1VRVGy3bSuixfE9J0QQ1eznHIlZb5eyI76w5jtvouiQN8JcYIQS9c40SxQL1q4QXYsnz0jlfbQZ7PrUitaXN4a0HfDXR3YmqpyoplFR271HMo5k5yhcW6usm+BkrN0NjoOfhTvKpRypj7uWM8TRlkD09tLs54TsN52aJbtPWOqSrZOd+hzYaPHTDV34DcSO32P5y9u0xkFbPYcgigmb+psdFzSFE5Ol4mThCtbAxolm9MzZbSbGqZONIusdxw6Q59q4UZjkKlruEHMdDVHEGRNPtfXmJASRDG1YjHLXFeVO7rSYZs6Hz7TZLvp0Rp4BFGCQnb3spK3JkX9e3F9ksJBr6OpCkmaEEtksBDiASaFpzg20jRl4EX0nYBG0aacy8YHWXpWyLlBTBDFxOmNcU2qqpCk17OwFQqW8Y7pMM2yvasr/OZCIU3hZLPEQqOAF8ZEcUI5Z/L4Uh3L0Hhzvcd23x1HYobZ8XHZJoiyZqI31/u7uvoVRaFoG3RHPs2yja5nzURvH/2T3QVMWW4WSRLYGXj0nBBgb/GZgqYpaPHe4vm6ME6ycVNv2zXsOwF+lNC86TWjJGGn77HVc+k7AVd2hmiqwtm56p5j4ShOeOVai5EfUckbrLUTmuUchqYSRgmbXZdy3qRZzmFbOle2B5xoFnetY6aa5wMnG7y60mGlNULXVKIkQVXgobkKmqpg6ynrnexqRJKmdF2fcs6kVjDZ6Xs0K7k7ThnSVJXZan4y//Ruy5k6hqbihTe+8biZ40cUTGMy+koIIR5EUniKY0NRFEw9m+lojos3TVNAyW5RWobKwAt2zaF0vIjZam7fgfYH0VSVJ09kzS+rrRE5U0fTFBw/zN52qsH58fFwnKS7hsDPVHPs9D3cIEbXFOrF7M7gn762PhkjlLxtQ0vXVEZ+hKooWV68H+IG0a7Pozvy2eg6FG0DJ4hY6zj03YCCZTBfy2djk8bjlJwg4omlGqvtEZe3BqRpdr/QMjTqJYta0aI78rNc+bdFS6Y3/S9kdzQvbw7Y6DlYuoZpZM//ys6A9tDng6ebzN107L7Tzxqepis5OkOfJGVS+Bp61jW+3feYKtnkTR3Hj/DDhPzbRhidnC7RKNls9RxGXoSuq0yVbAqWzqsrHa5sDUjSlItbfWxTp1GymK3m2Bl4FG2TRxZqd/RnfhhqRYvpis1qe8R8vbDrG5oginH8iPMLtX1HTAkhxINCCk9xbKRpSimnY5oaq60Rhq5lO4FxihtHREmCpWvUxztdjh+RpClLU6U7vl9aLVh89KFp1tsOq+0RcZIyU8mxUC8wXcmOmTVF4e01gqaqexparueExynUCibrHYf8zTuKcYKuKfhhxInpElMlm82eS2vgoanZbp/rx5Bmd0SXrQKkWcxjQsql7SG6ptIo22z3PMo5k5lqnsvbAy5s9DE0hXLOxAkitnoOpqFzslnct0monMs6vK8Xvu2Bz2bPoZq3MDSVzjAbdbQ8VWK77/Hda+1dSUZOEBGn42J8HMGZkKKOj9ItI3vtKEkn80sPKhBLOYNSbm/a0DNnmpyZLfNot85qa0R35GWNX7rGwlSR09Pl95Spfq+oisKjS3XcIB4nfBkYmjLZqT81U2K5KYPlhRAPNik8xbGSxCkFU2fTdXGCbJcwjGP8KCE3zhEH2Og4JGnKufnKu+6kL1gGZ8cDySErEDe6Dn/x5haj8cD6+XrWxHSru6zZ0bLNeie7O9kZ+nRHPqW8gYpC38uGy7thzGNLdR5ZrNEe+Gz3XfwoxtJVLm4MSEvWZJzR6ZkSFzcH9F0fx495fa3LcljM8sxPNNjsu/TdkCdO1NjueThBRJpmu8auH1ItWExX9jbKVAsmc7U8V7YHzFZzbA9cdE2bjCtCya4iKIpCo2Sx3nHZ7nmT8Ueamm0/p2lKMWdgmzquH1MYD/dPknQ8CQC6TsC52codj9dSlGwnuV60eXSxRhDFWXSqpu5JXTpuKnmTj56bZqU1ZKU9IoxSakWL5aki87c5/kkIIe5nx/tvcfG+M/SyY2RNVajkzT13DG+Wpik9J6Dvhtd/YXK8/PSpItsDl4EbkqagKmCbGgXLwDZ0Zmt5lhpF5ur599wUAtmu5Xcut7i6nd1vtEyNgZt1bi82ijx1amrfe3uQ7XSdm6tOPpf5RoGtjsN212MURFi6SmXK4NHFGg/PV8dd6Pbk/mRr4PG91R5TpRv3KQu2wfnFKt2RT2fo0XdCHp6vcW58B/I7l7NZkVmBmR931Y9ni6bgBtGe43zIirrHl+tEccJqe8hGx0XXFHYG2V3RpakitXHxe/3Pzgujye+vFS3yls7Iz8ZJzVRyXNkeogC2qeKGMXO1PNt9j6Jt3JUdvnvRxHYvFWyDhxdqnJuvZlc1VEVy2oUQYkwKT3FXjLyQN9Z7rLdHeGGMqirUChZnZsss1At7/uF1g4jvXmuz3s66swE6Q5/W0M/G/yhwerpMQpYqE6cpV7YGPLJU5//19PJdL0QubPa5tDXYs7sZxglXd4YUbJ0nlhsH/v5GyeKpU1Nc2uyz0/eolSzytkE5Z3ByusypmdKu2Y43S8c7iOrbjqQNTaVZzlEvWmx1XRYbBfKWTnvoMfJDmuPC1dDUyfUDYJzN7jD0wn13CPOWzjNnmyz1ivScAC+MmS7nqRWtXWOx0jQlJd31zUM5Z3KiWeS1lS4Ac9U8KbDedtjYcjCNbBRSJW/y2FKdevHBnVmpKgqqJgWnEELcTApP8Z65QcRzF7bZ7LnUi9lxcTQeLP7chW3iJN0V1xjGCd+5lKXaNEo2TSs7Et7uZdGYRRsUJevs1tVsnmZKdi9zrnbrY+93ww9jrm1nSUxvf21DU6kWTFZaI87MVPbkxXtBxGp7xNWdIUGUkDO1SeNMYVx4vtNuV97SyVk6Iz/ctzgdeRE5y5gcZytkR9nJAWN5kjQdx0Qe/HFNXWOpUeTjj8zx0pU2i43Cnp3joReRN3Uapd3F4/mFGgBXtod0hj6KAs2KzUI9y7ifrxeYKtvSRCOEEGIPKTzFe3ZtZ8hWz80Go4937UxVY7qSozXweH21x2w1P7nrt9VzWe2MmK3ld915y1kGpVxMGKecmi6ioDD0QzQ1a565frx7t438kJEfHpgoU7QN1jvZDuLNhefIC3n+0g4bHYe8pWPoKj0nYLPnsjxV4oOnGrd1xJq3dBYbBV5b6ZI39V0FWxgndJ2Ax5Zqk7FKpXGGfN8JmSrvLcL7bkApb1LOv/OzWmoUWWs7rLVHNMs5LEMjSVMGbsjADXhksU4pt/t1dE3l8eUGy80SnaE/SSuSYlMIIcQ7kcJTvCdxcv0o2ti3e7lasFjvjNjp32hQ2ew6KCh7Gi2qBZOdvouqKrh+zOnZ8uRtUZzghdE9ObpVlSwWMz1oBzFJUbmR0R7FCYau8r3Vzjg3PX/jODoHYZRwZXtAOW/wyHh38J2cm60wdENWWyMsM7vT6IcxfhSz3ChwZvZG97euqZyaLvP8xW36brBrl3Tohbh+zMPz1dvaGS7YBh86PcWrKx22ei5RnM1ILdoGjy3XeWhub9f5deWceeD1ASGEEGI/UniK9ySMU8Jxpvh+smI0G3R+4/ck++6M1QoW5ZzJRtchKMa73n+z6zBTze/bqX0rcZKy3XfZ7Dq4QZawM1vLM1W2J0fLpZxBtWDSc4J9IxP7boBpaKx3R7xwaYcwToiThO2ey3y9sKeBytBVSjmDa9sjzsyUb6sAtE2dp880masVuNYa4gYRtaLFUqPIfD2/5zWWm0W8MOLCRp+rO0N0NRtAb5sajyzVODldPuAj7VUtWHzfQzN0hj7OOOu9XrSOfQe5EEKI9x/5l0W8J4aWRRd6YUSBvUe78Xia+s3xjOWcydXt4Z73tQyNUzMl2kMP149YaQ1J06x4nanmeerk1B2NownjhJevtLi8PYQ0xdBV/CjmwmaP0zNlHluqo2sqmqpycrrEty9s03cCSjfdyxx6Id1RgKYqvLbSpZQzsAyV7V7Apa0BKVlizdtHBhUsnc4wwPGj276TaurZ/dCT0yWSNL1lt76qKJxfqNEo2by13mPgheRNndOzZeaq+TvuolYVhUbJplF65/c9bF4QEUTZLrMUw0II8f4mf4uL90RTVRYbBb5zuUUln+zZ/euOsi715k33J2eqOd7a0PYcE0PW4X1+scrDczXIQouoFKwsbvIO7w++tdHjwkaf6UpuV2HoBhFvrPfIWzrn5qoALE0V8cOYN9d7rLRG4yjOFNvQsE2NMEpYrBcmnedhIaGSN2kNPAqWwcnp3RVbnKSoKns61W/X7YyIWmkNeW2lS8/xAYWeEzBwQ4azIWfnKndlzNRRGrghl7b6rLVHWeGpqczV8pyaKWeTD4QQQrzvSOEp3rPlqSKbPZe1tkO1YJK3dKI4pTvKCqInTuy+b1grWDw8X+XVax0cL6KUMybZ5wrw2HJ9UhBC1qXdGni0Bh5xklKwDKYruT0d5jfzwpir28PxDuXuHcecqVOwDK5sDznRLGHqGqqi8NB8ldlanu2ehxdGWLpGztR58fIOlZy5q4gs2AZF22DohbSGHnO1/K6P0xsFTFdy96QZCrJ7si9c2gFgrpY1dV1vCnr5ahtNVXbdC32/6bsBz721TWvgUSmYVAsmfpjw5nqPnYHHM2eak2H7Qggh3j+k8BTvmW3qPH26yVvrPVbbI7a6LqqqUi/ZnJ7J5njeTFEUzs1VKNoGV3eGtIc+CjBXy7M8VdyVDe6HMS9fbXFtZ0QUJ9lOZJJSypk8vlxjsbH/gPKBGzDywj3xlteVcgY7fY+hF1Iv3igY394ws9Vz8cJ4T0SjoanMVHMMN0L6owA/zLLSkySlM/JRFIVTM+Vb7joGUUycpBiaeke7uWmacmlrQBglzN/0bFUlG9ofJykXNwcsTRXfV4PXb/bWeo/WIGtIu/4MTV2jYOustUe8sdbjw2eb73ilIIhi2uPO+5ypUS1Y7/udYCGEeD+TwlPcFXlL58mTDc7OVSbJReW8eeA/8oqiMF8vMFfL44dZI5FlaLsKiTRNeeVam0ubg13H5Uma0h76fOdyC9vQ9x2DdGOGZQr7zbNMs1mht5p1Cdn9UnWcF6/qu993pprHC2Iubw/Y6GURlilZ8fr4cnVXAX2zgRtydWfAaisrpk1DY3mqyPJUcTIy6VZGfkRr4O2743f9bujFrT7lnMHSVJFmJXdHd2OTNM2G+Q88wjghb+pMV3MUrHuze/t2Iy9kveNQK+4tEtVxnOZmz2HghpQPOHJP0pRLm/1x7GhAmqYYmsZMxeb8Yk12S4UQ4ohI4Snuqryl3/II/O0URTmw2Oo5AWvtbMj8zcfYqqIwVbJZaQ+51hruW3iWcgZF22TghvsWGX03oGSbFHO3LqaqBZN60aIz8vd01KuKQs7S+ci5aU7PlInjFNPQmC7bt/ycvn1hm52BSyVvYZs6XpjFdW71XZ4+3XzHBpokSYmTdM/4qiCKubI9ZKvnsN51xo1SJgu1PN/38My+HftvF0Qxr1xtc21nSBAnWdGdpJRzJo8uVllu3vvuIy+MCaL4wHuctqnRGfl4YcxBvfsXN/q8dKWFberMVvNoqoIXxqy0R4z8mI+cm94zn1QIIcS9J9OexbHVHQX4QXxgIVu2TTa77q5RTddZhsaJ6SIDN8uOv5njZznmJ6eL77gTqKkqZ2bLk3um17v04yRhp++hKQqPLtY5NV3m7FzllruWaZryvdUu7aHPYqNIJZ/dh60XLebredbaDhc3++/4XGwzu3vq+Dc+ryRNubw95PLWIJvHGaVEcUJ/5PPCpR2+9v+7RGvgveNrf2+ly1sbfcp5k6VGkYV6gcVGgSRNsuK4577ja7xX168e7PfnCtmcVF1VD/yzc4OItzb6k2d7vUC3DY35eoH20ONaa+9UBSGEEPeeFJ7ieLvFfbzsWD49cPD7mZky5+YqdEcBq60Rm12X1daQgRvw8EL1tmddLtQLfPDUFKausd5xWG0N2ei42KbGU6emDjxSf7ueE7DVdWiU9h4ha6pKJW9ybSfLur8VU9c40Swy8ELCKCvOhm7IenuE42fZ681yjrlanplqntlqjqvbQ/70tfUDnxVkVwCutYZ7ZnheP94O42ww/nVBFLPecbiyPWC94xBEt1737SrlDJrlHJ2hv+/bO0OfRsmiUth/R7Q18Bh6wb7H8KqiUMoZrLSGk2H5QgghDo8ctYtjq2DraGpW4OzXJDPywj2xmzfTNZUnTzZYaBTY7Lq4QUTeyo5e97s/eBBFUTjRLDFbzbMz8AijBFNXmSrb79i803cD3PFQdj/Ikoia5v5H3jlTozMM8III29j7ul4Ys9FxWO2McLyQMI55a71Lo2zTd0K2++6k6GxW7Mn9VcvIdv7eWu/Rc4ID7zd2Rz5uEFMv7v/2ct5kp+/hhTE7fZfvrWajnNLxfdlKPptWsDS1f8PX7VIUhTOzZdpDn42OQ71kYerZSKv20EfXlVuOi4ri7F7vQW83NJUgSoiSlPdp75UQQrxvSeEpjq160Wa6kme94zBfy+8aZzTyskaepaniLTubVUXJCrHbuN/4TixD29Ohn6YpQy8iihMsQ5tcCxh6Ia+vdljvOnhBnMVyqgrdUcBMJcbYp+KJ4hRNY98O96EX8sI4F94yNHQtO2r2Seg7IUGUEEQJc9UC01UbU9v9+rah0XUC2gc0JUHWhgUc+Dyvx4qud0a8fKWNojC+P6kSJwmdYcDzF3dQVWXPc7pTzXKOZ840eX2ty07fI04SNEWhXrKzsVcHTCuA601qWczqfs/SC7PrG3fScCWEEOLukMJTHFuaqvDEcp0willtj7BNDU1VcYMQTVU5v3Bw5/hhaA08Lmz02eo7RHGKqWss1PPM1Qq8ttJhq+9SL1o0ijZxktIeZrNI31pXeGRpb4Z7d+Sz0ChSeNud1uvd/Rtdh/mbcuHrRQvHj2gPPU7OFFnrjKgWzT1FJ4AfZcVWeosu/qKdFWNeGO+74zr0QmoFk5WdIWmaMl258ew1NdsB3uy6XNzsTxp63ovpSo5GyaYz9AmiGENXx3c2b10wTpVtagWL1sBnprr7G44wTnD8iPMLtfe8PiGEEHdOCk9xrJXzJt/30Ex2t7I9IowT5mp5FuoFmmX7jqMh3w03iNjsuoz8EE3N7jumacoLl3YYeVmmuqGreEHMG2s9vnutTZLCqenypLjRNYXpSp6BE3J1Z0i9ZDFVzqGpClGcHSFbhsap6dKez6kz8tnsuDTLuT1FV97SGXoaUZzSLOfY6DoUpvRdr+EGEUkKUyWLgn3wf/K1gsVMLce1nSHz46H01zl+RBgn1Io2Fzb6B+6aVgsm7YFH3wn2zD59NzRV2Xdqwa0YmsqjizWev7jNamtEtWCiaSquHzHwQpYbBZam3tuOrBBCiHdHCk9x7NmmzqmZMqdmbq8Z6G5aa4945WqbnhNMYjRVRaHvBBQsg+XmjfuMRk4lZ2r8yavrNCv2vjtqJ2dKOEE0ua+Zkr1etWDxyGJtz8gmgKGXFX377UJCdhfW8SKeOdPkG9+5xnp3RDlnoSjZAH4UyJsaJ5vFXdGlb6coCmdnyvSdgGutIXkz2wF1gmic7FRhupLjjbUuunbw/cl4PO7pKM3W8nzk3AyXt/tsdV3iIMI2dJ462ZikVQkhhDh8UngKcYD20OPFyy3iJNmVoLMzcLm8NeDkdJE0TXcPvQcsQ6Xvhvs2RWmqSq1o8fhyg3LOmAyQnyodnEWvAKTpno81+ZhpVjQ+slQjTlKev7hN1/ExNJWcoWObGstTJZ48MXXgMXV35HN5a8B618H1I5I4xQ0izLzJyekSC7UC09Ucrp81PrlBTNHe+1pOkCU42ebRF3ZTZZupso3jR8RJimWoUnAKIcQRk8JTiAOstEY4frgnllNVVHKWTt+NGI6z5q/TVIW8qdMZBuN7n7tfM06y4rFkG7viLm+lUjDJWTojP9o3+73vBCw3i+RNnWfONlluFlnZGdAZBhi6yny9wEK9QOGA3PjWwOPbF3bouT7VvEW9ZOMFEX03pGAbPLpYm4xXKozX/cZ6j5yp79rVTZIs8ejsOA71uLiTQAMhhBD3lvyNLMQ+4iRlo+vsW0BpqoKlq/hhxMgPdxWeqqJQKVhsD/x9Z2a2hx66qtAd+WwPXCxdY7qSu+V4p3IuG+b+vbUuunoj6SlNUzqjAF1TWZ4qTT7+bDXPbDV/4A7pzZI05bXVDgMvYLFemLy/bWiUcgarbYdLWwMeXbzRDHVurkLPCVhtjyjlDCxdw49iBm7ITCXHubnKOzxdIYQQDyopPIXYR5qmpCn7FoMlW6eUM1ltjW7MILrp9ykKnJ4p0Rr6RElK3tSJkoTOyGen72EbGq+udNC1bAzRG2sqJ6dLPLZUP/C4/fxilTBJuLYzJBp4qIpClKSUcwYfONnY927o7TRedYbZmqZKexu1NFWlnDO4tjPk7Gx5ckxdsA0eW6phmxpbPZckSTB1nSdO1FmeKh5aprsQQoj3Hyk8j0Bn6LPWyZJ0AGaqOeZrhbvSBSzuDl1TqRUsVlrDPQk4qqoyXbZZ74wYegFBlA0494KI1tBjqpTjiRN1WgOfaztD2kMPVVXQFAVTV5mr5Snlbrym40e8sdbDMjTOL9Tww5ieEwBZ41DBMjB1jQ+emuLEVImdgUsUpxQsnelK7sAj9NvhhfFkBul+cqZO38nSkExdo+8EvLnRY2OcVKQoCuVCNjh+9ghHWwkhhHh/kMLzkK20hrx0ucUoiCY7Q6+udLiyNeDJk4099wnF0VmeKrLWHjFwdx+nJ2lKkCR84OQU5ZxJa+ATJymmrrJQL/LQfIV60Wa2mufkdInu0AMF3lzroqrKrqITsjuIQWRwaatPFCestV0GXkAKFEydxakCD81VsQxt0jBzt+hqlvBz0LD1ME7QxsPq+27Acxe2aQ086kWLSt4kjBN2Bh7OpR2eVpv77rwKIYQQ10nheYgGbsjLV9tZ4s5NBWa9aNEaeLx8tU0lb+0qcsTRmanmOL9Y5fXVHn0nIGfpxEmCG8Q0SzYfPD1FKWfSHfmTXcNK3kRRFOIkZaU15Mr2kL7r4wUxq60RJ5p7O+EBSrbB85d32Oi4zNayO5qKkiU0fW+li+PHfOj01F1P26mXbCp5i64TMFXaW9B2Rz6nZsrkTJ03Lu/QGnq7Ovx1TWWhrrPecXhjrctU2b7tKFIhhBAPHik8D9FGd8TQDVls7O1mrhctVloj1jsjSrnq4S9O7KEoCg/PV6kXs2P19tDH0AweXSwwV8tPuqUbbyvYkjTl1ZU2b6z2MA01a1BKs9mfb673SYG52u6vgZEf0u77LJ4sUrtpOHspZ2IbOis7QxbrBRb2+dp5LwxN5dxcmecv7rAz8KgVTDRVJYhidvoeRdvk1HQJN4hYaztU8/s3QTVKFjsDj87Q3/M8hBBCiOuk8DxEnXE6zX5NH4qiYBka3ZF/BCsTB1EUhelK7o6OkLd7LhfW+9SK1qQ4NTSV6WqeruOz2hpRKVjkb5q1tNF1UVX2vedr6CqaqrDaHt31whOyvHuAN9Z7bHZdkhQ0FZqVHOcXssK75wQEUXJg8pGpZ+lJQZTc9fUJIYS4f0jheYg0TSW5RaJLkqRod/koVRy+tY5Dkqa75kfqmkqzbDNwAwZeSHfok69nbw+jhO4ooF60D0wnMnQVN4zuyXoVRWG5WWK2lqc99InjFMvQqBWtyZxOQ1MxdJUgSvYdwh5EMZqaNU8JIYQQB5HC8xA1yzkubvSJk3RPnGKcpIRxQrMszRnvd3032LdLfKaawwtj3lzvsdZ2sAyNIEpIkpTFqQJ+EB/4mn4YM1u9t18bpq4xW92/Mz1v6czV8ry10aNg6Xt27dvjI/aDMtyFEEIIkMLzUM2Mj2w3Og4z1dykiziKEza6DtOVHDPSFfy+Z+sanXjvlQlNVTnZLOGHEbWiTTlnYpsa87UClqHyf9/YZOAGe7revTArSOfrRzvx4NR0iZ2+x2p7RKNkYxkaYZTQGfoYuspDc5V98+mFEEKI66TwPESWkc1i/M6VVjZ4ezykXFMVZqp5njzROHCe4v0qSVP6ThYvaZvarqSgIIpZ7zistkd4QUzRNlhoFJit5g7MHD8O5uoFrrWG+44oCqKYasHm4+fn9oxFOjdX4dVrHbwwppwzURQYehGOF3J6tsx05b037aRpSmvgs94d0R0FmJo66aJ/p6+9asHiw2ebvL7WY6vn0B766KrKVMXm7GzlwN1SIYQQ4jol3S/X75jo9/tUKhV6vR7lcvmol3PXRHHCdt+j72ZDwss5k2bZPjC15n613nG4sNEbz8HMxhHN1wucm6ugKgovXtphtTPC0jUMTcULY5I05dR0iSdPNHY9rzRN6Y0HneuqSrVgHtnzDKKY597anuwM5i2dNE0ZehGdkc/Z2TJPnZra0x2epCnXdoZc3hrQHQVASsE2WJ4qcnqm/J4/nzRNeX2ty+urPcI4IWdqRHFCECfMVvN88NTUbWWsp2lK3w3xwxhDU6kUTBmhJIQQD7A7qddkx/MI6FqWXjP3ACe9rLSGvHBxhzhNqRUsdE3FDSLeWu/Rc3xMXWO1PWKult9VcHlhzIXNPpW8yZnZLBO85wR8b7XLVtfBj2I0RaFatDg7W2GxUbit6MibJWmKG0SQgm3qd3x8bOoaT52awjJU1joO7aEHQN4yeGSxysPz1X0LNVVRONEssdgoMHDD8e/R923meTfWOw6vrXQp2sauWbFxkrDWcXjlSouPPDTzjkWkoihU3pbmJIQQQtwOKTzFoQuimDfWeqDAbOVG8V20DfKmzoXNPn4YcWp67y6fbWjkTZ0r20NONEu4Qcy3L2yPoyptmmaOME7ojny+fXGbJE050Szd1rrSNGWt43Ble0Bn6JOkKeWcyYlmiaWp4h0VoHlL5+kz05x1AoZuCApU8+ZtxVtqqnrXm3TSNOXqzhBgT0CBpqpMl3Ns9lyZwymEEOKeerDOdsWx0B74dEf+rkHp16mqgqGpbHbdA0fzFG2DoRfi+BFXtgfsDDwW6gVy5o2Zmc1yDkNTeWOtRxAd3C1+swsbff7yzS22ei45U6doG5OYyFdX2iTv4lZKJW+y0CiwUC+8p0z19+p6MX5QKpZlaIRxMtlpFUIIIe4FKTzFoQvihCTlwDuLlqGRpBDF+xd6SZqiKFkxtdoeUcnvf8ewWjDpuz6twTsP5e87Aa+vdclZOrPVLJUoZ+o0yznqRYsL6322e+6dfaLHjsIxvtIthBDiASCFpzh0pqaiKlmT1X50VSFv6jjB/rtvfSegXrQwDZUoTg7cGdVUlTRVCA/4ODfb7DmM/Gjfu4t5SydOs3uQ71emrtEsWwfuaDp+hKVrVAtyd1MIIcS9I4WnOHSNcjZovLNPPGiSpHhhzKPLVdwgZuTfKJTSNKU78klTONksYxtZ4831OZdvF8YJqgLWbaTpuH7WoX0Q29AZjKcQvF8tTZUwNJX20N+18xlEMTsDj/l6XpqGhBBC3FNSeIpDZ2gqD81XIIWNroMfxsRJytALWW2PaFZs/srDszy8UMXxIq7tDFltj1htjUhSeOJEnfl6HkNTWZrKOsDjZO+uZnvgUytat9UsY+jqvq9xXRgnB8ZZvl9MV3I8ebKBAqy0Rqx3HFbaQ3YGPiebJR5bqt/xBAAhhBDiTkhX+wPCD2NaA48oSbF0lUbpaOeGLjaKaKq6Z47n2bkK5+YqFG2Dx5dMlhpFtvseQRSTM3WmK7ldsyZPNEts9z1W2w7VvEnO1CeNNJah8chC7bY+z2Y5S5Lyggjb3P2fRRQnRHHCXK1w15/DYTvRLFEv2mz1HAZeiKGpTJVspsr2sR7KL4QQ4v4ghed9Lk1TrmwPeXO9R98JSMk6x+sFk0cWa8wcYdrMXC3PTDU3SS7Kmdquzm9FUagWrFuOFsqZOk+fbnJxs89Ka0R76KNpsNAocmq6xPRtRpDWSxbLU0UubPSpFkyKtoGiKIz8kPbAZ6FRYOYeZ6UfllLOoJSrHPUyhBBCPIAkueg+d2V7wPMXd7AMlUreQlOzZpvWwMPUNT56bvq+mdvoBRFeGKOpKkVbv+Nj42y+aJdrO6PJ3VLb1Jir5nl0qT4Z1ySEEEKIGyS5SABZIfXWeh9TV6kXbxSXhqYyW82z2hpxaat/3xSetqnvOSaHbPxSa+CNh8JnXeozldyebHJT13h8ucGpmTK9UUCaZruDZWm4EUIIIe4KKTzvY91RQM/xDzxurhZMNrsuIz+kYB3dcPN7yQsiXrrSZrU92tU8VC1YPLFc3/eqQcEy7tvnIYQQQhwl6Sa4j0VxQpKmBzbX6JpKnKTEybG9bfGeJGnKy1fbXN4eUC9aLDaKLDaKzNcKjLyIFy7t0N1npJMQQggh7g0pPO9jtqlhaAfPuXSDCNvQ3vdjgg7SGfqstUdMv+1YXVUVZqo5Bm42vkkIIYQQh0MKz/tYtWAxXbHZGbh7csajOKHvhixNFTH1+7Pw7I58gujg+ZvFnMF623lXGexCCCGEuHNyx/M+pioKjyzWGPkRq60R5byJqau4QczQC1moFzg1XTrqZd4zSQq3amxXFYWElDQFZG66EEIIcc/Jjud9rlqw+Mi5aR5ZrJKmWSa3qas8dbLB06en9u0Cf79L0pSRH3J9HvpBmfAjL6RezEZMCSGEEOLeu/+qDrFHOWfy+HKDh+arRHGKqatHmlp0r6RpylrH4cr2gM7QJ05SdgYePSfg/EJ1VzLPwA1RFYXFRvEIVyyEEEI8WKTwfICYusZ9uME58dZGj+9e7YCSFduKAhXf5PLWANePODFdQtdUHD9EV1XOL1aZuc1kIyGEEEK8d/dxGSIeJD0n4I21HjlLp3LTwPdT02UqeZOV1pA0BVNXma1WWKgXaJbtO043EkIIIcS7J4WnuC9sdh2cIGJpn6PzetHG9WNONks8ebJxBKsTQgghBEhzkbhPjPwQQz34y9kyNfpucIgrEkIIIcTbSeEp7gumrhEl+3evA0RRsiebXQghhBCHSwpPcV9olnNoioK/T0pTFCdEScpcbW8uuxBCCCEOjxSe4r7QKNksN4ts9lyGXkg6TiMa+SHrHYeFep5p6WAXQgghjpQ0F4n7gqYqPHGigaFprLSGdEc+AJahcXqmxKNL9fs2GlQIIYR4v5DCU9w3TF3jyZMNTs+W6Y2yRqJiztg1XkkIIYQQR0cKT3HfKdoGRds46mUIIYQQ4m3kjqcQQgghhDgUUngKIYQQQohDIYWnEEIIIYQ4FFJ4CiGEEEKIQyGFpxBCCCGEOBRSeAohhBBCiEMhhacQQgghhDgUUngKIYQQQohDIYWnEEIIIYQ4FJJcJN4zN4jY6XvESYplaEyVbQxNvqcRQgghxG5SeIp3LUlTLmz0uLDRZ+iFgIKiQK1g8ehijdla/qiXKIQQQohjRLalxLt2abPPy1faAMzXCyw2CsxUcgzckOcvbrPT9454hUIIIYQ4TqTwFO+KH8Zc2BhgmzrVgoWqKADomspMNYcbxFze7h/xKoUQQghxnEjhKd6VztBn4PlU8ua+b68UTLa6Lo4fHfLKhBBCCHFcSeEp3pU4SUlT0FRl37frmkqcpsRJesgrE0IIIcRxJYWneFdyloahaXhhvO/bHT8iZ+rYpnbIKxNCCCHEcSWFp3hXqgWL6YrNTt8lSXfvaoZxwtALWZ4qylglIYQQQkzIOCXxrqiKwiOLNRw/ZrU1opQzMDQVN4xxg4jlZpGT06WjXqYQQgghjhEpPMW7Vi1YfOTcNNdaQ1ZaQ4IooWDpPLJQY2mqgKnLMbsQQgghbpDCU7wnpZzBo4s1HpqrECUphqYe2HAkhBBCiAebFJ7irtA1FdngFEIIIcStSOeHEEIIIYQ4FFJ4CiGEEEKIQ3Eohafv+zz11FMoisKLL754GB9SCCGEEEIcM4dSeP7SL/0S8/Pzh/GhhBBCCCHEMXXPC88/+IM/4Bvf+AZf/vKX7/WHEkIIIYQQx9g97Wrf3Nzkp3/6p/n6179OPp9/x/f3fR/f9yc/7/f793J5QgghhBDiEN2zHc80TfnsZz/L5z73OZ555pnb+j1f+tKXqFQqkx9LS0v3anlCCCGEEOKQ3XHh+cUvfhFFUW7547nnnuMrX/kK/X6fL3zhC7f92l/4whfo9XqTH9euXbvT5QkhhBBCiGNKSdM0vZPfsLOzw87Ozi3f5+TJk3z605/m93//91GUGyk2cRyjaRo/8RM/wW//9m+/48fq9/tUKhV6vR7lcvlOlimEEEIIIQ7BndRrd1x43q6rV6/uuqO5trbGD//wD/M//+f/5KMf/SiLi4vv+BpSeAohhBBCHG93Uq/ds+ai5eXlXT8vFosAnDlz5raKTiGEEEIIcX+R5CIhhBBCCHEo7uk4pZudPHmSe3SqL4QQQggh3gdkx1MIIYQQQhwKKTyFEEIIIcShkMJTCCGEEEIcCik8hRBCCCHEoZDCUwghhBBCHAopPIUQQgghxKGQwlMIIYQQQhyKQ5vj+W5cn/t5c/SmEEIIIYQ4Pq7Xabczr/1YF56DwQCApaWlI16JEEIIIYS4lcFgQKVSueX7KOkxjhNKkoS1tTVKpRKKotzzj9fv91laWuLatWvvGHL/oJFnsz95LgeTZ7M/eS4Hk2ezP3kuB5Nns7/Dfi5pmjIYDJifn0dVb32L81jveKqqyuLi4qF/3HK5LF/AB5Bnsz95LgeTZ7M/eS4Hk2ezP3kuB5Nns7/DfC7vtNN5nTQXCSGEEEKIQyGFpxBCCCGEOBRSeN7Esix+7dd+Dcuyjnopx448m/3JczmYPJv9yXM5mDyb/clzOZg8m/0d5+dyrJuLhBBCCCHE/UN2PIUQQgghxKGQwlMIIYQQQhwKKTyFEEIIIcShkMJTCCGEEEIcCik8hRBCCCHEoZDC8zb4vs9TTz2Foii8+OKLR72cI/e3/tbfYnl5Gdu2mZub4yd/8idZW1s76mUducuXL/MP/sE/4NSpU+RyOc6cOcOv/dqvEQTBUS/tyP3zf/7P+f7v/37y+TzVavWol3Ok/v2///ecOnUK27Z5+umn+dM//dOjXtKR+5M/+RP+5t/8m8zPz6MoCl//+tePeknHwpe+9CU+/OEPUyqVmJ6e5sd+7Md4/fXXj3pZR+7Xf/3XefLJJyepPB/72Mf4gz/4g6Ne1rHzpS99CUVR+MVf/MWjXsouUnjehl/6pV9ifn7+qJdxbDz77LP89//+33n99df5X//rf3HhwgX+9t/+20e9rCP3ve99jyRJ+I3f+A2++93v8q//9b/mP/yH/8Cv/MqvHPXSjlwQBHzqU5/iZ37mZ456KUfqd3/3d/nFX/xFfvVXf5UXXniBv/pX/yo/8iM/wtWrV496aUdqNBrxgQ98gH/7b//tUS/lWPnWt77Fz/7sz/Lnf/7nfPOb3ySKIj7xiU8wGo2OemlHanFxkX/xL/4Fzz33HM899xx//a//dX70R3+U7373u0e9tGPjL//yL/nN3/xNnnzyyaNeyl6puKX//b//d3r+/Pn0u9/9bgqkL7zwwlEv6dj5vd/7vVRRlDQIgqNeyrHzL//lv0xPnTp11Ms4Nr761a+mlUrlqJdxZD7ykY+kn/vc53b92vnz59N/9I/+0RGt6PgB0q997WtHvYxjaWtrKwXSb33rW0e9lGOnVqul//E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" }, "metadata": {}, "output_type": "display_data" } ], - "execution_count": 52 + "execution_count": 37 }, { "cell_type": "markdown", @@ -412,8 +412,8 @@ "cell_type": "code", "metadata": { "ExecuteTime": { - "end_time": "2025-03-05T09:56:41.729767Z", - "start_time": "2025-03-05T09:56:41.671775Z" + "end_time": "2025-03-19T09:31:48.554831Z", + "start_time": "2025-03-19T09:31:48.474934Z" } }, "source": [ @@ -438,7 +438,7 @@ "output_type": "display_data" } ], - "execution_count": 55 + "execution_count": 38 }, { "cell_type": "markdown", @@ -453,8 +453,8 @@ "cell_type": "code", "metadata": { "ExecuteTime": { - "end_time": "2025-03-05T10:15:03.512565Z", - "start_time": "2025-03-05T10:15:03.510305Z" + "end_time": "2025-03-19T09:31:48.891615Z", + "start_time": "2025-03-19T09:31:48.884879Z" } }, "source": [ @@ -463,7 +463,7 @@ " return -np.sum(y * np.log(h) + (1 - y) * np.log(1 - h))" ], "outputs": [], - "execution_count": 104 + "execution_count": 39 }, { "cell_type": "markdown", @@ -487,8 +487,8 @@ "cell_type": "code", "metadata": { "ExecuteTime": { - "end_time": "2025-03-05T10:44:03.685253Z", - "start_time": "2025-03-05T10:44:03.682070Z" + "end_time": "2025-03-19T09:31:49.482987Z", + "start_time": "2025-03-19T09:31:49.479349Z" } }, "source": [ @@ -511,7 +511,7 @@ " return w, b" ], "outputs": [], - "execution_count": 144 + "execution_count": 40 }, { "cell_type": "markdown", @@ -524,8 +524,8 @@ "cell_type": "code", "metadata": { "ExecuteTime": { - "end_time": "2025-03-05T10:44:05.205683Z", - "start_time": "2025-03-05T10:44:04.457359Z" + "end_time": "2025-03-19T09:31:52.538272Z", + "start_time": "2025-03-19T09:31:51.682437Z" } }, "source": [ @@ -538,38 +538,38 @@ "name": "stdout", "output_type": "stream", "text": [ - "In step 0 , the parameters are [0.00120519 0.33862792] 0.0 ;\n", - "and the value of the cost function is 5271.277995679736\n", - "In step 300 , the parameters are [-2.34143382 3.26147664] -4.147417329055753 ;\n", - "and the value of the cost function is 742.7787000935343\n", - "In step 600 , the parameters are [-2.89655432 3.92345169] -5.1011875240250415 ;\n", - "and the value of the cost function is 628.7165675185372\n", - "In step 900 , the parameters are [-3.23241259 4.32579622] -5.6745205784621575 ;\n", - "and the value of the cost function is 587.9925532700345\n", - "In step 1200 , the parameters are [-3.47109281 4.61243016] -6.080681505491013 ;\n", - "and the value of the cost function is 567.5815564366071\n", - "In step 1500 , the parameters are [-3.65380265 4.8322147 ] -6.391014561873741 ;\n", - "and the value of the cost function is 555.662171215444\n", - "In step 1800 , the parameters are [-3.79984918 5.00811529] -6.638769083547293 ;\n", - "and the value of the cost function is 548.060670330905\n", - "In step 2100 , the parameters are [-3.9199447 5.15290215] -6.842324815409663 ;\n", - "and the value of the cost function is 542.9263219326222\n", - "In step 2400 , the parameters are [-4.02069384 5.27446234] -7.012982565617063 ;\n", - "and the value of the cost function is 539.315487299295\n", - "In step 2700 , the parameters are [-4.10647529 5.3780322 ] -7.1582184641354445 ;\n", - "and the value of the cost function is 536.6990520205685\n", - "The parameters are : [-4.18012133 5.46700041] -7.282863011162482\n" + "In step 0 , the parameters are [0.00153647 0.33871266] 0.0 ;\n", + "and the value of the cost function is 5275.865698969024\n", + "In step 300 , the parameters are [-2.34810353 3.25054244] -4.160290012659158 ;\n", + "and the value of the cost function is 756.3110375589763\n", + "In step 600 , the parameters are [-2.8885127 3.91778361] -5.122316883530483 ;\n", + "and the value of the cost function is 641.7719246408615\n", + "In step 900 , the parameters are [-3.21294809 4.32379939] -5.700307343788985 ;\n", + "and the value of the cost function is 600.9912201400733\n", + "In step 1200 , the parameters are [-3.44249778 4.61299967] -6.109358690938331 ;\n", + "and the value of the cost function is 580.608497535862\n", + "In step 1500 , the parameters are [-3.61767029 4.83459653] -6.421531380172041 ;\n", + "and the value of the cost function is 568.7388533903074\n", + "In step 1800 , the parameters are [-3.75734136 5.01177289] -6.670433297857319 ;\n", + "and the value of the cost function is 561.1905874098641\n", + "In step 2100 , the parameters are [-3.87194445 5.15744025] -6.874651758497154 ;\n", + "and the value of the cost function is 556.1070217688145\n", + "In step 2400 , the parameters are [-3.96789466 5.27958215] -7.045619602672441 ;\n", + "and the value of the cost function is 552.5425577978012\n", + "In step 2700 , the parameters are [-4.04943622 5.38350371] -7.190902618096757 ;\n", + "and the value of the cost function is 549.967616036397\n", + "The parameters are : [-4.11931463 5.47264399] -7.3153959306836205\n" ] } ], - "execution_count": 145 + "execution_count": 41 }, { "cell_type": "code", "metadata": { "ExecuteTime": { - "end_time": "2025-03-05T10:44:06.503264Z", - "start_time": "2025-03-05T10:44:06.157991Z" + "end_time": "2025-03-19T09:31:52.801878Z", + "start_time": "2025-03-19T09:31:52.597175Z" } }, "source": [ @@ -593,13 +593,13 @@ "text/plain": [ "
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" 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" }, "metadata": {}, "output_type": "display_data" } ], - "execution_count": 146 + "execution_count": 42 }, { "cell_type": "markdown", @@ -646,21 +646,40 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "metadata": { + "ExecuteTime": { + "end_time": "2025-03-19T09:32:02.484670Z", + "start_time": "2025-03-19T09:32:02.480673Z" + } + }, "source": [ "a = np.arange(10)\n", "rng = np.random.default_rng(seed=42)\n", "rng.shuffle(a) # shuffle in place\n", "a" - ] + ], + "outputs": [ + { + "data": { + "text/plain": [ + "array([5, 6, 0, 7, 3, 2, 4, 9, 1, 8])" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "execution_count": 43 }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "metadata": { + "ExecuteTime": { + "end_time": "2025-03-19T09:51:37.764449Z", + "start_time": "2025-03-19T09:51:37.744068Z" + } + }, "source": [ "def mini_batch_SGD(X, y, learning_rate, batch_size, epochs):\n", " \"\"\"\n", @@ -669,7 +688,6 @@ " Parameters:\n", " X (numpy.ndarray): Input data of shape (n, d), where n is the number of samples and d is the number of features.\n", " y (numpy.ndarray): Labels of shape (n,), where n is the sample size.\n", - " num_steps (int): Number of steps per epoch.\n", " learning_rate (float): Learning rate for gradient descent.\n", " batch_size (int): Size of each mini-batch.\n", " epochs (int): Number of epochs to train.\n", @@ -688,68 +706,40067 @@ " for epoch in range(epochs):\n", " # Shuffle the data at the beginning of each epoch\n", " indices = np.arange(n)\n", - " np.random.default_rng(seed=42).shuffle(indices)\n", + " np.random.default_rng(seed=epoch).shuffle(indices)\n", " X_shuffled = X[indices]\n", " y_shuffled = y[indices]\n", "\n", " # Mini-batch processing\n", + " for i in range(0, n, batch_size):\n", + " X_batch = X_shuffled[i:i + batch_size]\n", + " y_batch = y_shuffled[i:i + batch_size]\n", "\n", - " # Compute predictions\n", + " # Compute predictions\n", + " h = sigmoid(np.dot(X_batch, w) + b)\n", "\n", - " # Compute gradients\n", - " grad_w = (h - y) @ X\n", - " grad_b = np.sum(h - y)\n", + " # Compute gradients\n", + " grad_w = (h - y_batch) @ X_batch\n", + " grad_b = np.sum(h - y_batch)\n", "\n", - " # Update parameters\n", - " w -= learning_rate * grad_w\n", - " b -= learning_rate * grad_b\n", + " # Update parameters\n", + " w -= learning_rate * grad_w\n", + " b -= learning_rate * grad_b\n", "\n", - " # Compute and store cost for tracking\n", - " current_cost = cost_log_likelihood(X, y, w, b)\n", + " # Compute and store cost for tracking\n", + " current_cost = cost_log_likelihood(X_batch, y_batch, w, b)\n", "\n", - " if epoch % 10 == 0:\n", - " print(f\"Epoch {epoch}/{epochs}, Cost: {current_cost:.4f}\")\n", - " print(\" and the parameters are\", w, b, \";\")\n", + " if epoch % 10 == 0:\n", + " print(f\"Epoch {epoch}/{epochs}, Cost: {current_cost:.4f}\")\n", + " print(\" and the parameters are\", w, b, \";\")\n", "\n", - " costs_SGD.append(current_cost)\n", + " costs_SGD.append(current_cost)\n", "\n", - "\n", - "return w, b, costs_SGD\n", - "\n", - "\n", - "\n", - "\n" - ] + " return w, b, costs_SGD" + ], + "outputs": [], + "execution_count": 58 }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "\n", - "\n", - "\n", - "\n", - "\n" - ] + "metadata": { + "ExecuteTime": { + "end_time": "2025-03-19T09:56:51.427407Z", + "start_time": "2025-03-19T09:56:46.160169Z" + } + }, + "source": "w_SGD, b_SGD, cost_SGD = mini_batch_SGD(X, y, learning_rate=5e-5, batch_size=50, epochs=1000)\n", + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 0/1000, Cost: 34.6290\n", + " and the parameters are [-5.87201336e-05 1.17358307e-03] -0.0002 ;\n", + "Epoch 0/1000, Cost: 34.5887\n", + " and the parameters are [-0.00027173 0.00251791] -0.00015089470314657126 ;\n", + "Epoch 0/1000, Cost: 34.5602\n", + " and the parameters are [-0.00068416 0.00373089] -0.0003027243288860721 ;\n", + "Epoch 0/1000, Cost: 34.4884\n", + " and the parameters are [-0.00047074 0.0053166 ] -0.0005054958950922852 ;\n", + "Epoch 0/1000, Cost: 34.3402\n", + " and the parameters are [-0.00036129 0.00745055] -0.00040945684562978846 ;\n", + "Epoch 0/1000, Cost: 34.3860\n", + " and the parameters are [-0.0005649 0.0089469] -0.00041479070720988186 ;\n", + "Epoch 0/1000, Cost: 34.2132\n", + " and the parameters are [-0.00058962 0.0109634 ] -0.00032220667395566527 ;\n", + "Epoch 0/1000, Cost: 34.1200\n", + " and the parameters are [-0.00057486 0.0130156 ] -8.34889460169458e-05 ;\n", + "Epoch 0/1000, Cost: 34.1005\n", + " and the parameters are [-0.00066628 0.01486911] 5.620899842442194e-05 ;\n", + "Epoch 0/1000, Cost: 34.1125\n", + " and the parameters are [-0.00081733 0.01649599] 9.465250193138646e-05 ;\n", + "Epoch 0/1000, Cost: 34.0876\n", + " and the parameters are [-0.00064068 0.01806065] 3.289442322775834e-05 ;\n", + "Epoch 0/1000, Cost: 33.9782\n", + " and the parameters are [-0.00056681 0.01975612] -3.2093357019507103e-05 ;\n", + "Epoch 0/1000, Cost: 33.7634\n", + " and the parameters are [-0.00041798 0.02178116] 4.941670126168166e-05 ;\n", + "Epoch 0/1000, Cost: 33.8629\n", + " and the parameters are [-0.00040545 0.02344775] -6.704335499288124e-05 ;\n", + "Epoch 0/1000, Cost: 33.8673\n", + " and the parameters are [-0.00037319 0.02499888] -0.00023112813371303537 ;\n", + "Epoch 0/1000, Cost: 33.7309\n", + " and the parameters are [-0.00028227 0.02669953] -0.00030175014570574927 ;\n", + "Epoch 0/1000, Cost: 33.4848\n", + " and the parameters are [2.13516171e-05 2.86971112e-02] -0.00022888448342181755 ;\n", + "Epoch 0/1000, Cost: 33.2933\n", + " and the parameters are [0.00059172 0.03084734] -0.00010417012445575375 ;\n", + "Epoch 0/1000, Cost: 33.9406\n", + " and the parameters are [0.0007921 0.03192276] -0.0004271537096015404 ;\n", + "Epoch 0/1000, Cost: 33.2625\n", + " and the parameters are [0.00084058 0.03392682] -0.00021142031637597303 ;\n", + "Epoch 0/1000, Cost: 33.5060\n", + " and the parameters are [0.00087458 0.03549776] -0.0003407083648420574 ;\n", + "Epoch 0/1000, Cost: 33.3958\n", + " and the parameters are [0.00079011 0.03715012] -0.0004150542814552857 ;\n", + "Epoch 0/1000, Cost: 33.7302\n", + " and the parameters are [0.00047011 0.03831614] -0.0005951362349569328 ;\n", + "Epoch 0/1000, Cost: 33.5980\n", + " and the parameters are [0.00014665 0.03960263] -0.0006787528185420134 ;\n", + "Epoch 0/1000, Cost: 33.5189\n", + " and the parameters are [0.00012067 0.04093658] -0.0008614248252196093 ;\n", + "Epoch 0/1000, Cost: 33.0208\n", + " and the parameters are [0.00025637 0.04279397] -0.0007949476045947832 ;\n", + "Epoch 0/1000, Cost: 33.3613\n", + " and the parameters are [0.00017986 0.04419959] -0.0008807419515291322 ;\n", + "Epoch 0/1000, Cost: 33.5587\n", + " and the parameters are [0.00029191 0.04535123] -0.0013527029087901554 ;\n", + "Epoch 0/1000, Cost: 32.8766\n", + " and the parameters are [0.00041809 0.04717415] -0.0013397321329301868 ;\n", + "Epoch 0/1000, Cost: 33.4341\n", + " and the parameters are [0.00025915 0.04837839] -0.0015229310280111472 ;\n", + "Epoch 0/1000, Cost: 33.1281\n", + " and the parameters are [0.00043677 0.04983862] -0.0016607536038563714 ;\n", + "Epoch 0/1000, Cost: 32.8506\n", + " and the parameters are [0.0004145 0.05152545] -0.0016497783661080952 ;\n", + "Epoch 0/1000, Cost: 32.3293\n", + " and the parameters are [0.00049479 0.05361539] -0.0013058338206322247 ;\n", + "Epoch 0/1000, Cost: 32.3083\n", + " and the parameters are [0.00073263 0.05564039] -0.0011523595556149284 ;\n", + "Epoch 0/1000, Cost: 32.3741\n", + " and the parameters are [0.00103583 0.05752568] -0.0011059803116664616 ;\n", + "Epoch 0/1000, Cost: 33.3297\n", + " and the parameters are [0.00108299 0.05859585] -0.0014845454204840832 ;\n", + "Epoch 0/1000, Cost: 32.6899\n", + " and the parameters are [0.00084603 0.0601371 ] -0.0014925062014313224 ;\n", + "Epoch 0/1000, Cost: 32.9983\n", + " and the parameters are [0.00089949 0.0614005 ] -0.001734897630545898 ;\n", + "Epoch 0/1000, Cost: 32.3458\n", + " and the parameters are [0.00084679 0.06313395] -0.001687670998155261 ;\n", + "Epoch 0/1000, Cost: 32.7904\n", + " and the parameters are [0.00040998 0.0644885 ] -0.0016477763306773257 ;\n", + "Epoch 0/1000, Cost: 32.2116\n", + " and the parameters are [0.00075321 0.0662117 ] -0.0017545895082871012 ;\n", + "Epoch 0/1000, Cost: 33.0587\n", + " and the parameters are [0.00080472 0.06730498] -0.001963289438139645 ;\n", + "Epoch 0/1000, Cost: 32.1519\n", + " and the parameters are [0.00087326 0.06902828] -0.001961764667921026 ;\n", + "Epoch 0/1000, Cost: 32.9293\n", + " and the parameters are [0.00087921 0.07016017] -0.002214706457922668 ;\n", + "Epoch 0/1000, Cost: 31.8022\n", + " and the parameters are [0.00105621 0.07202345] -0.0021765672670268545 ;\n", + "Epoch 0/1000, Cost: 32.3199\n", + " and the parameters are [0.00097281 0.07351551] -0.0021844926829137487 ;\n", + "Epoch 0/1000, Cost: 31.8551\n", + " and the parameters are [0.00081522 0.07525859] -0.0019201879325155082 ;\n", + "Epoch 0/1000, Cost: 32.0176\n", + " and the parameters are [0.00092748 0.07686205] -0.0019382052375599929 ;\n", + "Epoch 0/1000, Cost: 32.3845\n", + " and the parameters are [0.00071519 0.07818669] -0.001872221453700771 ;\n", + "Epoch 0/1000, Cost: 31.8250\n", + " and the parameters are [0.00071447 0.07983489] -0.0019866821034391154 ;\n", + "Epoch 0/1000, Cost: 32.0297\n", + " and the parameters are [0.00085575 0.08135113] -0.0020931348414362986 ;\n", + "Epoch 0/1000, Cost: 32.0704\n", + " and the parameters are [0.0006984 0.08280602] -0.002062343964577346 ;\n", + "Epoch 0/1000, Cost: 31.9497\n", + " and the parameters are [0.00068241 0.08429584] -0.002034663062662134 ;\n", + "Epoch 0/1000, Cost: 31.3619\n", + " and the parameters are [0.00055641 0.08608367] -0.001774340791461782 ;\n", + "Epoch 0/1000, Cost: 32.1552\n", + " and the parameters are [0.00057482 0.08739693] -0.0020278501295944583 ;\n", + "Epoch 0/1000, Cost: 32.4080\n", + " and the parameters are [0.00047034 0.08855356] -0.0021978675389184767 ;\n", + "Epoch 0/1000, Cost: 32.4449\n", + " and the parameters are [0.00055917 0.08967063] -0.0024161043167530106 ;\n", + "Epoch 0/1000, Cost: 32.9332\n", + " and the parameters are [0.00046925 0.09051701] -0.0028681312687018636 ;\n", + "Epoch 0/1000, Cost: 31.8332\n", + " and the parameters are [0.00019357 0.09195463] -0.0028307612466368062 ;\n", + "Epoch 0/1000, Cost: 31.1909\n", + " and the parameters are [-2.17816026e-05 9.36627553e-02] -0.002855546989928182 ;\n", + "Epoch 0/1000, Cost: 31.1813\n", + " and the parameters are [3.58151698e-05 9.53505056e-02] -0.002833889937964007 ;\n", + "Epoch 0/1000, Cost: 32.3927\n", + " and the parameters are [-0.00033014 0.09639766] -0.0029641917268058136 ;\n", + "Epoch 0/1000, Cost: 31.3971\n", + " and the parameters are [-0.00039754 0.09793674] -0.0028961765717031734 ;\n", + "Epoch 0/1000, Cost: 30.9470\n", + " and the parameters are [-0.00025992 0.09964366] -0.002789595749407182 ;\n", + "Epoch 0/1000, Cost: 30.3178\n", + " and the parameters are [-0.00013643 0.10160998] -0.0024919240304253497 ;\n", + "Epoch 0/1000, Cost: 32.4524\n", + " and the parameters are [-0.00027277 0.10255857] -0.0028146012950836024 ;\n", + "Epoch 0/1000, Cost: 31.9565\n", + " and the parameters are [-0.00040047 0.10371708] -0.00299813465017605 ;\n", + "Epoch 0/1000, Cost: 32.2082\n", + " and the parameters are [-0.00054009 0.10476469] -0.0032231081167334867 ;\n", + "Epoch 0/1000, Cost: 31.2627\n", + " and the parameters are [-0.00059415 0.10621561] -0.003391241549096434 ;\n", + "Epoch 0/1000, Cost: 32.0064\n", + " and the parameters are [-0.00056845 0.10732055] -0.0036096941322227264 ;\n", + "Epoch 0/1000, Cost: 31.2753\n", + " and the parameters are [-0.00062305 0.10872817] -0.0036997141256339214 ;\n", + "Epoch 0/1000, Cost: 31.7108\n", + " and the parameters are [-0.00069559 0.10994661] -0.003913843466864063 ;\n", + "Epoch 0/1000, Cost: 31.3744\n", + " and the parameters are [-0.00069702 0.11128542] -0.003945933737346647 ;\n", + "Epoch 0/1000, Cost: 30.9883\n", + " and the parameters are [-0.00077859 0.11272634] -0.003948447607662889 ;\n", + "Epoch 0/1000, Cost: 30.6653\n", + " and the parameters are [-0.00094446 0.11429091] -0.003910417141629083 ;\n", + "Epoch 0/1000, Cost: 32.2124\n", + " and the parameters are [-0.00117904 0.11521172] -0.004273436411991351 ;\n", + "Epoch 0/1000, Cost: 30.8558\n", + " and the parameters are [-0.00096446 0.1166589 ] -0.004543125736175006 ;\n", + "Epoch 0/1000, Cost: 30.0653\n", + " and the parameters are [-0.00106643 0.11840497] -0.0044584159014841775 ;\n", + "Epoch 0/1000, Cost: 30.4506\n", + " and the parameters are [-0.00088453 0.11997522] -0.004469046847969417 ;\n", + "Epoch 0/1000, Cost: 31.8918\n", + " and the parameters are [-0.00130071 0.12094494] -0.004760429312933888 ;\n", + "Epoch 0/1000, Cost: 30.9777\n", + " and the parameters are [-0.00100171 0.12228027] -0.005040600749552374 ;\n", + "Epoch 0/1000, Cost: 31.2753\n", + " and the parameters are [-0.00124147 0.12349508] -0.005177261435557575 ;\n", + "Epoch 0/1000, Cost: 31.1992\n", + " and the parameters are [-0.00140176 0.1247215 ] -0.005411515483864393 ;\n", + "Epoch 0/1000, Cost: 31.1423\n", + " and the parameters are [-0.00166617 0.12594278] -0.005504860300913115 ;\n", + "Epoch 0/1000, Cost: 30.9401\n", + " and the parameters are [-0.00169357 0.12724015] -0.005608084732246465 ;\n", + "Epoch 0/1000, Cost: 29.8958\n", + " and the parameters are [-0.00169181 0.12886991] -0.005449971258755771 ;\n", + "Epoch 0/1000, Cost: 30.5931\n", + " and the parameters are [-0.00187096 0.13025026] -0.005459167839671969 ;\n", + "Epoch 0/1000, Cost: 30.8222\n", + " and the parameters are [-0.00177079 0.13154969] -0.005605312104819515 ;\n", + "Epoch 0/1000, Cost: 30.7028\n", + " and the parameters are [-0.0021356 0.13288087] -0.00555013349376285 ;\n", + "Epoch 0/1000, Cost: 31.2071\n", + " and the parameters are [-0.00193495 0.13400383] -0.006005329393973091 ;\n", + "Epoch 0/1000, Cost: 30.3075\n", + " and the parameters are [-0.00206821 0.1354374 ] -0.006050312467161179 ;\n", + "Epoch 0/1000, Cost: 30.2235\n", + " and the parameters are [-0.00186519 0.13684362] -0.00625049721432364 ;\n", + "Epoch 0/1000, Cost: 29.6993\n", + " and the parameters are [-0.00197944 0.13843859] -0.00634288561724415 ;\n", + "Epoch 0/1000, Cost: 28.3806\n", + " and the parameters are [-0.00164567 0.14040041] -0.006067731401226031 ;\n", + "Epoch 0/1000, Cost: 29.7476\n", + " and the parameters are [-0.00160892 0.14193357] -0.006033916120132479 ;\n", + "Epoch 0/1000, Cost: 30.2961\n", + " and the parameters are [-0.00134417 0.14324051] -0.006255017356633939 ;\n", + "Epoch 0/1000, Cost: 30.0501\n", + " and the parameters are [-0.00117642 0.14463048] -0.006327155542215215 ;\n", + "Epoch 0/1000, Cost: 30.9353\n", + " and the parameters are [-0.00144765 0.14573032] -0.006476374240895946 ;\n", + "Epoch 0/1000, Cost: 30.0629\n", + " and the parameters are [-0.00144382 0.1471084 ] -0.006583689984411282 ;\n", + "Epoch 0/1000, Cost: 31.2405\n", + " and the parameters are [-0.00159099 0.14809227] -0.006737101380836584 ;\n", + "Epoch 0/1000, Cost: 29.0195\n", + " and the parameters are [-0.00141836 0.14973308] -0.006755690502839099 ;\n", + "Epoch 0/1000, Cost: 29.6266\n", + " and the parameters are [-0.00123996 0.15115702] -0.006794518224296582 ;\n", + "Epoch 0/1000, Cost: 30.2144\n", + " and the parameters are [-0.00120751 0.15237795] -0.0069785608117822195 ;\n", + "Epoch 0/1000, Cost: 31.1289\n", + " and the parameters are [-0.00134718 0.15332629] -0.007204311570887248 ;\n", + "Epoch 0/1000, Cost: 29.9885\n", + " and the parameters are [-0.00147486 0.15464458] -0.00718009385533621 ;\n", + "Epoch 0/1000, Cost: 30.7082\n", + " and the parameters are [-0.00155734 0.1557486 ] -0.007376842410332681 ;\n", + "Epoch 0/1000, Cost: 29.2582\n", + " and the parameters are [-0.00170049 0.15724443] -0.007306791923898436 ;\n", + "Epoch 0/1000, Cost: 30.3441\n", + " and the parameters are [-0.00187583 0.15839251] -0.007486694308912068 ;\n", + "Epoch 0/1000, Cost: 29.8404\n", + " and the parameters are [-0.00165748 0.15966504] -0.007661475981403311 ;\n", + "Epoch 0/1000, Cost: 29.1193\n", + " and the parameters are [-0.00172054 0.16114703] -0.0076634837240213815 ;\n", + "Epoch 0/1000, Cost: 29.0741\n", + " and the parameters are [-0.00186876 0.16261201] -0.007527527627628973 ;\n", + "Epoch 0/1000, Cost: 29.4729\n", + " and the parameters are [-0.0018415 0.16396643] -0.007698891480762528 ;\n", + "Epoch 0/1000, Cost: 29.8936\n", + " and the parameters are [-0.00188201 0.16517057] -0.0077129305110008595 ;\n", + "Epoch 0/1000, Cost: 30.5232\n", + " and the parameters are [-0.0018841 0.16623338] -0.008037179774890628 ;\n", + "Epoch 0/1000, Cost: 28.2961\n", + " and the parameters are [-0.00199963 0.16784627] -0.00790260223286883 ;\n", + "Epoch 0/1000, Cost: 30.6878\n", + " and the parameters are [-0.00225114 0.16879357] -0.008040257348263602 ;\n", + "Epoch 0/1000, Cost: 28.8108\n", + " and the parameters are [-0.00241807 0.17022628] -0.008087669225088188 ;\n", + "Epoch 0/1000, Cost: 29.4237\n", + " and the parameters are [-0.00244159 0.17150874] -0.00823215403529885 ;\n", + "Epoch 0/1000, Cost: 29.5019\n", + " and the parameters are [-0.0025329 0.17274504] -0.0084611191011701 ;\n", + "Epoch 0/1000, Cost: 29.8552\n", + " and the parameters are [-0.00257366 0.17386311] -0.008742202203115104 ;\n", + "Epoch 0/1000, Cost: 29.2224\n", + " and the parameters are [-0.00273378 0.17510842] -0.008780304230488513 ;\n", + "Epoch 0/1000, Cost: 29.3715\n", + " and the parameters are [-0.00281839 0.1763689 ] -0.00895671486743028 ;\n", + "Epoch 0/1000, Cost: 29.8882\n", + " and the parameters are [-0.00295673 0.17744851] -0.009230245446342123 ;\n", + "Epoch 0/1000, Cost: 30.0901\n", + " and the parameters are [-0.00305341 0.17846039] -0.009519294182335424 ;\n", + "Epoch 0/1000, Cost: 30.3920\n", + " and the parameters are [-0.00314822 0.17941949] -0.009796061713764868 ;\n", + "Epoch 0/1000, Cost: 29.9062\n", + " and the parameters are [-0.00328007 0.18049028] -0.009949088919972236 ;\n", + "Epoch 0/1000, Cost: 28.7987\n", + " and the parameters are [-0.00334205 0.18184664] -0.010002691314346307 ;\n", + "Epoch 0/1000, Cost: 28.6384\n", + " and the parameters are [-0.00347671 0.18325122] -0.010003748627831118 ;\n", + "Epoch 0/1000, Cost: 30.9653\n", + " and the parameters are [-0.00378783 0.18405275] -0.010407713764436465 ;\n", + "Epoch 0/1000, Cost: 28.2644\n", + " and the parameters are [-0.00359332 0.18547529] -0.010470520930601336 ;\n", + "Epoch 0/1000, Cost: 29.8061\n", + " and the parameters are [-0.00393449 0.18652655] -0.010576754091877996 ;\n", + "Epoch 0/1000, Cost: 29.1796\n", + " and the parameters are [-0.00406996 0.18774576] -0.010615185496880354 ;\n", + "Epoch 0/1000, Cost: 28.7914\n", + " and the parameters are [-0.00411758 0.18903936] -0.010672462564597205 ;\n", + "Epoch 0/1000, Cost: 30.5588\n", + " and the parameters are [-0.00452812 0.1898741 ] -0.010974644390009225 ;\n", + "Epoch 0/1000, Cost: 29.5873\n", + " and the parameters are [-0.00465758 0.1909417 ] -0.01133025259209966 ;\n", + "Epoch 0/1000, Cost: 27.5545\n", + " and the parameters are [-0.0044484 0.19249668] -0.011303315798256426 ;\n", + "Epoch 0/1000, Cost: 30.3309\n", + " and the parameters are [-0.00448261 0.19343302] -0.011645971705768981 ;\n", + "Epoch 0/1000, Cost: 26.9333\n", + " and the parameters are [-0.00460975 0.19507006] -0.011412234359233676 ;\n", + "Epoch 0/1000, Cost: 28.9305\n", + " and the parameters are [-0.00489201 0.19627902] -0.01142290702749466 ;\n", + "Epoch 0/1000, Cost: 30.9211\n", + " and the parameters are [-0.00499706 0.19697276] -0.011774330415843038 ;\n", + "Epoch 0/1000, Cost: 27.4666\n", + " and the parameters are [-0.00500592 0.19846207] -0.011543033647791861 ;\n", + "Epoch 0/1000, Cost: 28.8097\n", + " and the parameters are [-0.00522386 0.19966387] -0.011631126429220104 ;\n", + "Epoch 0/1000, Cost: 27.8409\n", + " and the parameters are [-0.00538326 0.20105288] -0.011614124024709058 ;\n", + "Epoch 0/1000, Cost: 29.7916\n", + " and the parameters are [-0.00557599 0.20195354] -0.011718203031829966 ;\n", + "Epoch 0/1000, Cost: 26.0496\n", + " and the parameters are [-0.00539808 0.20370336] -0.011581450052428274 ;\n", + "Epoch 0/1000, Cost: 28.6417\n", + " and the parameters are [-0.00544802 0.20486304] -0.011625642470051685 ;\n", + "Epoch 0/1000, Cost: 29.9917\n", + " and the parameters are [-0.00577457 0.20569514] -0.011776723179294873 ;\n", + "Epoch 0/1000, Cost: 26.3615\n", + " and the parameters are [-0.00568897 0.20734769] -0.011760890901903881 ;\n", + "Epoch 0/1000, Cost: 28.9661\n", + " and the parameters are [-0.00583203 0.2084495 ] -0.01182685478501428 ;\n", + "Epoch 0/1000, Cost: 29.1492\n", + " and the parameters are [-0.00556101 0.20951905] -0.012237562571861673 ;\n", + "Epoch 0/1000, Cost: 31.4874\n", + " and the parameters are [-0.00591387 0.21009029] -0.01265173252217723 ;\n", + "Epoch 0/1000, Cost: 28.1610\n", + " and the parameters are [-0.00595703 0.211363 ] -0.012795796627249213 ;\n", + "Epoch 0/1000, Cost: 27.4741\n", + " and the parameters are [-0.00588106 0.21270698] -0.012775310213354115 ;\n", + "Epoch 0/1000, Cost: 29.9366\n", + " and the parameters are [-0.00610466 0.21355164] -0.013074087528691696 ;\n", + "Epoch 0/1000, Cost: 29.6000\n", + " and the parameters are [-0.00639004 0.21451931] -0.013218754515297719 ;\n", + "Epoch 0/1000, Cost: 28.7985\n", + " and the parameters are [-0.00656218 0.21560603] -0.013423117927402778 ;\n", + "Epoch 0/1000, Cost: 30.0545\n", + " and the parameters are [-0.00665925 0.21643769] -0.013747999927599706 ;\n", + "Epoch 0/1000, Cost: 28.4469\n", + " and the parameters are [-0.0068444 0.21750627] -0.013995910592097456 ;\n", + "Epoch 0/1000, Cost: 28.8206\n", + " and the parameters are [-0.00686686 0.2185924 ] -0.014183515388280511 ;\n", + "Epoch 0/1000, Cost: 27.6176\n", + " and the parameters are [-0.00673696 0.21993374] -0.014278801586070049 ;\n", + "Epoch 0/1000, Cost: 27.7214\n", + " and the parameters are [-0.00698769 0.22116733] -0.014328521240334416 ;\n", + "Epoch 0/1000, Cost: 26.8457\n", + " and the parameters are [-0.007218 0.22253087] -0.01423492648714077 ;\n", + "Epoch 0/1000, Cost: 27.3452\n", + " and the parameters are [-0.00730809 0.22377729] -0.014257782207332904 ;\n", + "Epoch 0/1000, Cost: 27.2650\n", + " and the parameters are [-0.00745065 0.22509304] -0.014173322880472159 ;\n", + "Epoch 0/1000, Cost: 29.3842\n", + " and the parameters are [-0.00739055 0.22598772] -0.014520926864586054 ;\n", + "Epoch 0/1000, Cost: 29.4441\n", + " and the parameters are [-0.00752662 0.22682926] -0.014778662729541637 ;\n", + "Epoch 0/1000, Cost: 28.9884\n", + " and the parameters are [-0.00742613 0.22773368] -0.01517885758214116 ;\n", + "Epoch 0/1000, Cost: 29.2543\n", + " and the parameters are [-0.00771911 0.22857636] -0.015426465653797905 ;\n", + "Epoch 0/1000, Cost: 29.5553\n", + " and the parameters are [-0.00767722 0.22941399] -0.01589323740456262 ;\n", + "Epoch 0/1000, Cost: 27.2255\n", + " and the parameters are [-0.00755193 0.23072549] -0.015891222508606164 ;\n", + "Epoch 0/1000, Cost: 28.2388\n", + " and the parameters are [-0.00767007 0.23181081] -0.016007874198609207 ;\n", + "Epoch 0/1000, Cost: 28.8626\n", + " and the parameters are [-0.00791154 0.23273373] -0.016229181794562505 ;\n", + "Epoch 0/1000, Cost: 26.8525\n", + " and the parameters are [-0.00822382 0.23399928] -0.01605392392000999 ;\n", + "Epoch 0/1000, Cost: 28.6244\n", + " and the parameters are [-0.00829803 0.23499802] -0.016361035362952515 ;\n", + "Epoch 0/1000, Cost: 26.7381\n", + " and the parameters are [-0.00830857 0.23635462] -0.01627946554664725 ;\n", + "Epoch 0/1000, Cost: 28.2856\n", + " and the parameters are [-0.0082349 0.23738706] -0.01649477925682849 ;\n", + "Epoch 0/1000, Cost: 27.7841\n", + " and the parameters are [-0.00805804 0.23854799] -0.016763498222389116 ;\n", + "Epoch 0/1000, Cost: 29.0533\n", + " and the parameters are [-0.00827836 0.23938449] -0.017168376775152917 ;\n", + "Epoch 0/1000, Cost: 28.7652\n", + " and the parameters are [-0.00828164 0.24032686] -0.017510872513114707 ;\n", + "Epoch 0/1000, Cost: 27.9033\n", + " and the parameters are [-0.00832512 0.24138025] -0.01769945477756795 ;\n", + "Epoch 0/1000, Cost: 28.3134\n", + " and the parameters are [-0.00825958 0.24239061] -0.01799443173738144 ;\n", + "Epoch 0/1000, Cost: 29.0269\n", + " and the parameters are [-0.00856155 0.24326796] -0.01817938050311855 ;\n", + "Epoch 0/1000, Cost: 27.0712\n", + " and the parameters are [-0.00860475 0.24452126] -0.01813218245857231 ;\n", + "Epoch 0/1000, Cost: 29.3368\n", + " and the parameters are [-0.00881873 0.24531292] -0.01844958805402652 ;\n", + "Epoch 0/1000, Cost: 26.7278\n", + " and the parameters are [-0.0087517 0.24653858] -0.018565396051488374 ;\n", + "Epoch 0/1000, Cost: 26.6663\n", + " and the parameters are [-0.00883304 0.24779063] -0.01853716905929502 ;\n", + "Epoch 0/1000, Cost: 27.8567\n", + " and the parameters are [-0.00895851 0.24879631] -0.018703864507329065 ;\n", + "Epoch 0/1000, Cost: 28.3459\n", + " and the parameters are [-0.00908914 0.24969492] -0.018885546267278796 ;\n", + "Epoch 0/1000, Cost: 27.6214\n", + " and the parameters are [-0.00916871 0.25068759] -0.019160756567868198 ;\n", + "Epoch 0/1000, Cost: 29.0251\n", + " and the parameters are [-0.00938272 0.25146691] -0.019494411659568986 ;\n", + "Epoch 0/1000, Cost: 30.0438\n", + " and the parameters are [-0.00955876 0.25210779] -0.01998443473970098 ;\n", + "Epoch 0/1000, Cost: 29.1408\n", + " and the parameters are [-0.0096747 0.25283024] -0.02028666136295915 ;\n", + "Epoch 0/1000, Cost: 30.0800\n", + " and the parameters are [-0.00996982 0.25346253] -0.020738472820210095 ;\n", + "Epoch 0/1000, Cost: 26.6581\n", + " and the parameters are [-0.01012982 0.25468785] -0.02073674171128535 ;\n", + "Epoch 0/1000, Cost: 27.8025\n", + " and the parameters are [-0.01034988 0.25565781] -0.020885418783397922 ;\n", + "Epoch 0/1000, Cost: 27.4350\n", + " and the parameters are [-0.01046417 0.25673128] -0.021070415183252342 ;\n", + "Epoch 0/1000, Cost: 28.4802\n", + " and the parameters are [-0.01074445 0.25761652] -0.021424410472600325 ;\n", + "Epoch 0/1000, Cost: 29.2644\n", + " and the parameters are [-0.0109069 0.25842737] -0.021677795306178856 ;\n", + "Epoch 0/1000, Cost: 30.2830\n", + " and the parameters are [-0.01123736 0.25899622] -0.022163520239912964 ;\n", + "Epoch 0/1000, Cost: 27.4061\n", + " and the parameters are [-0.01132225 0.25997561] -0.022421076924520226 ;\n", + "Epoch 10/1000, Cost: 15.0839\n", + " and the parameters are [-0.31203589 0.94555824] -0.5705545364822467 ;\n", + "Epoch 10/1000, Cost: 22.0153\n", + " and the parameters are [-0.31231211 0.945376 ] -0.5710553258720648 ;\n", + "Epoch 10/1000, Cost: 13.1289\n", + " and the parameters are [-0.31247094 0.94575437] -0.5711695380532764 ;\n", + "Epoch 10/1000, Cost: 17.9650\n", + " and the parameters are [-0.31264882 0.94580664] -0.5715084232347013 ;\n", + "Epoch 10/1000, Cost: 17.5935\n", + " and the parameters are [-0.31270571 0.94596082] -0.5718865960295277 ;\n", + "Epoch 10/1000, Cost: 16.8422\n", + " and the parameters are [-0.31290618 0.94612864] -0.572228399707436 ;\n", + "Epoch 10/1000, Cost: 16.3416\n", + " and the parameters are [-0.31316507 0.94628138] -0.5724892191848964 ;\n", + "Epoch 10/1000, Cost: 13.5931\n", + " and the parameters are [-0.31330323 0.94668669] -0.5725817384875519 ;\n", + "Epoch 10/1000, Cost: 20.5470\n", + " and the parameters are [-0.3135369 0.94670164] -0.5729633119309929 ;\n", + "Epoch 10/1000, Cost: 20.4071\n", + " and the parameters are [-0.31373869 0.94672694] -0.573356634933871 ;\n", + "Epoch 10/1000, Cost: 16.7334\n", + " and the parameters are [-0.31391825 0.94682468] -0.5737487809390132 ;\n", + "Epoch 10/1000, Cost: 17.3669\n", + " and the parameters are [-0.31395714 0.94705061] -0.5740770165393042 ;\n", + "Epoch 10/1000, Cost: 18.2769\n", + " and the parameters are [-0.31422414 0.94709432] -0.5744288613053808 ;\n", + "Epoch 10/1000, Cost: 16.1438\n", + " and the parameters are [-0.3143325 0.94726245] -0.5748390865702122 ;\n", + "Epoch 10/1000, Cost: 19.1397\n", + " and the parameters are [-0.31448572 0.94726068] -0.5752132673698415 ;\n", + "Epoch 10/1000, Cost: 15.5667\n", + " and the parameters are [-0.31476355 0.94752461] -0.5754417966333581 ;\n", + "Epoch 10/1000, Cost: 12.4305\n", + " and the parameters are [-0.31475217 0.94801708] -0.5755475930379971 ;\n", + "Epoch 10/1000, Cost: 16.8225\n", + " and the parameters are [-0.31503028 0.94817578] -0.5758197413378792 ;\n", + "Epoch 10/1000, Cost: 18.0631\n", + " and the parameters are [-0.31533287 0.94817755] -0.5761712784109021 ;\n", + "Epoch 10/1000, Cost: 19.0578\n", + " and the parameters are [-0.31544617 0.94829943] -0.5765464216424416 ;\n", + "Epoch 10/1000, Cost: 17.7119\n", + " and the parameters are [-0.31566035 0.94843953] -0.5768217152031937 ;\n", + "Epoch 10/1000, Cost: 13.6816\n", + " and the parameters are [-0.31578565 0.94880934] -0.5769883553567574 ;\n", + "Epoch 10/1000, Cost: 16.5042\n", + " and the parameters are [-0.31594535 0.94908209] -0.5772623060827123 ;\n", + "Epoch 10/1000, Cost: 16.2471\n", + " and the parameters are [-0.31612652 0.94936737] -0.5775123288034673 ;\n", + "Epoch 10/1000, Cost: 17.0024\n", + " and the parameters are [-0.31635846 0.94951974] -0.5778473295482054 ;\n", + "Epoch 10/1000, Cost: 15.9843\n", + " and the parameters are [-0.3166062 0.94976269] -0.5781294889369829 ;\n", + "Epoch 10/1000, Cost: 15.8653\n", + " and the parameters are [-0.31685114 0.94989532] -0.5784477785344335 ;\n", + "Epoch 10/1000, Cost: 15.9131\n", + " and the parameters are [-0.31708565 0.95003855] -0.5787811615243864 ;\n", + "Epoch 10/1000, Cost: 14.0834\n", + " and the parameters are [-0.31727137 0.95029864] -0.5790359462596258 ;\n", + "Epoch 10/1000, Cost: 16.5604\n", + " and the parameters are [-0.31739291 0.9503745 ] -0.5794340396014865 ;\n", + "Epoch 10/1000, Cost: 16.4645\n", + " and the parameters are [-0.3174219 0.95059607] -0.5798294852240985 ;\n", + "Epoch 10/1000, Cost: 20.2915\n", + " and the parameters are [-0.31780097 0.95054145] -0.580259234868939 ;\n", + "Epoch 10/1000, Cost: 18.2610\n", + " and the parameters are [-0.31803068 0.9506254 ] -0.580609940918152 ;\n", + "Epoch 10/1000, Cost: 19.6250\n", + " and the parameters are [-0.31833663 0.95050226] -0.5811114582509798 ;\n", + "Epoch 10/1000, Cost: 15.0168\n", + " and the parameters are [-0.31844725 0.95083906] -0.5812861092116527 ;\n", + "Epoch 10/1000, Cost: 16.4209\n", + " and the parameters are [-0.31877845 0.95092325] -0.581478928677178 ;\n", + "Epoch 10/1000, Cost: 14.1001\n", + " and the parameters are [-0.31881315 0.95127936] -0.581656682802772 ;\n", + "Epoch 10/1000, Cost: 16.5965\n", + " and the parameters are [-0.31901197 0.95149189] -0.5819462356563484 ;\n", + "Epoch 10/1000, Cost: 17.1710\n", + " and the parameters are [-0.3192399 0.951638 ] -0.5821263744161319 ;\n", + "Epoch 10/1000, Cost: 19.3205\n", + " and the parameters are [-0.31945802 0.9516007 ] -0.5826813860292002 ;\n", + "Epoch 10/1000, Cost: 15.3721\n", + " and the parameters are [-0.31953137 0.95190079] -0.5829449021121 ;\n", + "Epoch 10/1000, Cost: 18.8847\n", + " and the parameters are [-0.31965474 0.95198914] -0.5832674261726603 ;\n", + "Epoch 10/1000, Cost: 14.7192\n", + " and the parameters are [-0.31972955 0.95226673] -0.5835336245872625 ;\n", + "Epoch 10/1000, Cost: 15.1133\n", + " and the parameters are [-0.31959574 0.95256583] -0.583881416938581 ;\n", + "Epoch 10/1000, Cost: 14.4639\n", + " and the parameters are [-0.31956818 0.95294999] -0.5841312055379452 ;\n", + "Epoch 10/1000, Cost: 17.4639\n", + " and the parameters are [-0.31979669 0.95307619] -0.5844577266848029 ;\n", + "Epoch 10/1000, Cost: 17.7711\n", + " and the parameters are [-0.32008302 0.95311851] -0.5848190055532231 ;\n", + "Epoch 10/1000, Cost: 15.6921\n", + " and the parameters are [-0.32030809 0.95343622] -0.5849783705455046 ;\n", + "Epoch 10/1000, Cost: 15.7316\n", + " and the parameters are [-0.32030937 0.95364503] -0.5853674323218858 ;\n", + "Epoch 10/1000, Cost: 19.3575\n", + " and the parameters are [-0.32062053 0.95368999] -0.5857451927882678 ;\n", + "Epoch 10/1000, Cost: 16.8798\n", + " and the parameters are [-0.32084347 0.95399431] -0.5858622612859177 ;\n", + "Epoch 10/1000, Cost: 14.9911\n", + " and the parameters are [-0.32118348 0.95426202] -0.585947282090887 ;\n", + "Epoch 10/1000, Cost: 19.9926\n", + " and the parameters are [-0.3213933 0.95431723] -0.5863370697066363 ;\n", + "Epoch 10/1000, Cost: 14.0764\n", + " and the parameters are [-0.32158391 0.95457979] -0.5864880828555171 ;\n", + "Epoch 10/1000, Cost: 17.9601\n", + " and the parameters are [-0.32177643 0.9546572 ] -0.5868549595555276 ;\n", + "Epoch 10/1000, Cost: 16.6649\n", + " and the parameters are [-0.32193382 0.9548374 ] -0.58716333103475 ;\n", + "Epoch 10/1000, Cost: 14.8545\n", + " and the parameters are [-0.32201997 0.95515474] -0.5873861492113054 ;\n", + "Epoch 10/1000, Cost: 14.7174\n", + " and the parameters are [-0.32202333 0.95545315] -0.5876429418691131 ;\n", + "Epoch 10/1000, Cost: 15.1132\n", + " and the parameters are [-0.32207947 0.95581162] -0.5878484941516132 ;\n", + "Epoch 10/1000, Cost: 17.3839\n", + " and the parameters are [-0.32236207 0.95597267] -0.5880737525125913 ;\n", + "Epoch 10/1000, Cost: 13.8974\n", + " and the parameters are [-0.32246731 0.95625103] -0.5883833447461656 ;\n", + "Epoch 10/1000, Cost: 19.6809\n", + " and the parameters are [-0.32270396 0.95625446] -0.5887630302386166 ;\n", + "Epoch 10/1000, Cost: 17.5924\n", + " and the parameters are [-0.32274651 0.95644012] -0.5891320906329316 ;\n", + "Epoch 10/1000, Cost: 13.7838\n", + " and the parameters are [-0.32289814 0.95672501] -0.5893553589387914 ;\n", + "Epoch 10/1000, Cost: 19.1605\n", + " and the parameters are [-0.323222 0.95666755] -0.5897401961292862 ;\n", + "Epoch 10/1000, Cost: 18.5601\n", + " and the parameters are [-0.32325295 0.95683226] -0.5900340238465474 ;\n", + "Epoch 10/1000, Cost: 12.9178\n", + " and the parameters are [-0.32340815 0.95716886] -0.5902184777464224 ;\n", + "Epoch 10/1000, Cost: 17.0515\n", + " and the parameters are [-0.32370024 0.95731218] -0.5905029896838309 ;\n", + "Epoch 10/1000, Cost: 21.7233\n", + " and the parameters are [-0.32395819 0.95716375] -0.5910181176604883 ;\n", + "Epoch 10/1000, Cost: 15.4577\n", + " and the parameters are [-0.32418466 0.95750197] -0.5911523645654532 ;\n", + "Epoch 10/1000, Cost: 14.3547\n", + " and the parameters are [-0.32432029 0.95769742] -0.5914595789505968 ;\n", + "Epoch 10/1000, Cost: 13.9772\n", + " and the parameters are [-0.32447516 0.9580286 ] -0.5915941882960732 ;\n", + "Epoch 10/1000, Cost: 15.5098\n", + " and the parameters are [-0.3247974 0.95814489] -0.5918393378855301 ;\n", + "Epoch 10/1000, Cost: 16.6446\n", + " and the parameters are [-0.32502811 0.95826869] -0.5921018940664443 ;\n", + "Epoch 10/1000, Cost: 16.3730\n", + " and the parameters are [-0.32528388 0.95851042] -0.5922772983160568 ;\n", + "Epoch 10/1000, Cost: 14.2558\n", + " and the parameters are [-0.32540808 0.95896851] -0.5923640891476508 ;\n", + "Epoch 10/1000, Cost: 17.2436\n", + " and the parameters are [-0.32567268 0.9591354 ] -0.5926072989533846 ;\n", + "Epoch 10/1000, Cost: 19.0250\n", + " and the parameters are [-0.32592587 0.95914381] -0.5930006943604406 ;\n", + "Epoch 10/1000, Cost: 17.3346\n", + " and the parameters are [-0.32613814 0.95922468] -0.5933373196289446 ;\n", + "Epoch 10/1000, Cost: 17.2689\n", + " and the parameters are [-0.32635635 0.95935493] -0.5935805022342804 ;\n", + "Epoch 10/1000, Cost: 13.6105\n", + " and the parameters are [-0.32653732 0.95968696] -0.5937484312744222 ;\n", + "Epoch 10/1000, Cost: 16.2185\n", + " and the parameters are [-0.3267556 0.95984186] -0.5939635288498999 ;\n", + "Epoch 10/1000, Cost: 16.2744\n", + " and the parameters are [-0.32697052 0.95994651] -0.594232592829211 ;\n", + "Epoch 10/1000, Cost: 17.8879\n", + " and the parameters are [-0.32726561 0.96006467] -0.5945249170949874 ;\n", + "Epoch 10/1000, Cost: 16.4496\n", + " and the parameters are [-0.3275102 0.96022946] -0.5947159898934157 ;\n", + "Epoch 10/1000, Cost: 14.9197\n", + " and the parameters are [-0.32757059 0.96051796] -0.5949629885311606 ;\n", + "Epoch 10/1000, Cost: 15.3904\n", + " and the parameters are [-0.32757251 0.96080482] -0.5952205933552162 ;\n", + "Epoch 10/1000, Cost: 17.2360\n", + " and the parameters are [-0.32772531 0.96089289] -0.5955800396521056 ;\n", + "Epoch 10/1000, Cost: 16.9413\n", + " and the parameters are [-0.32791885 0.96106675] -0.5958776190191186 ;\n", + "Epoch 10/1000, Cost: 17.6019\n", + " and the parameters are [-0.32796788 0.96118886] -0.5962994737550628 ;\n", + "Epoch 10/1000, Cost: 17.1209\n", + " and the parameters are [-0.32791847 0.96136841] -0.5966667688761718 ;\n", + "Epoch 10/1000, Cost: 18.2407\n", + " and the parameters are [-0.32805837 0.96155373] -0.5969753934830669 ;\n", + "Epoch 10/1000, Cost: 16.0113\n", + " and the parameters are [-0.32819077 0.9618583 ] -0.5971111705549895 ;\n", + "Epoch 10/1000, Cost: 17.7138\n", + " and the parameters are [-0.32835529 0.9619967 ] -0.5973563011780144 ;\n", + "Epoch 10/1000, Cost: 15.4731\n", + " and the parameters are [-0.32855353 0.96220222] -0.5975864783885393 ;\n", + "Epoch 10/1000, Cost: 14.8597\n", + " and the parameters are [-0.32856938 0.96246559] -0.5979299050247998 ;\n", + "Epoch 10/1000, Cost: 16.2292\n", + " and the parameters are [-0.32868414 0.96272091] -0.5982065930161297 ;\n", + "Epoch 10/1000, Cost: 17.9096\n", + " and the parameters are [-0.32883118 0.96280802] -0.5985851681162637 ;\n", + "Epoch 10/1000, Cost: 16.3422\n", + " and the parameters are [-0.32884669 0.96300496] -0.5989217340204716 ;\n", + "Epoch 10/1000, Cost: 16.9471\n", + " and the parameters are [-0.32907496 0.9632442 ] -0.5991654119373271 ;\n", + "Epoch 10/1000, Cost: 10.9186\n", + " and the parameters are [-0.32906105 0.96378848] -0.5992366534520548 ;\n", + "Epoch 10/1000, Cost: 14.7548\n", + " and the parameters are [-0.32919203 0.96413972] -0.599318243367365 ;\n", + "Epoch 10/1000, Cost: 15.0596\n", + " and the parameters are [-0.32931078 0.96443296] -0.5995449142810786 ;\n", + "Epoch 10/1000, Cost: 12.7947\n", + " and the parameters are [-0.32927662 0.96480909] -0.5998112952121495 ;\n", + "Epoch 10/1000, Cost: 16.0582\n", + " and the parameters are [-0.32936508 0.96503526] -0.6001141876867491 ;\n", + "Epoch 10/1000, Cost: 15.7625\n", + " and the parameters are [-0.3295159 0.96519516] -0.6003972594192444 ;\n", + "Epoch 10/1000, Cost: 19.7532\n", + " and the parameters are [-0.32972972 0.96513978] -0.6008104952535835 ;\n", + "Epoch 10/1000, Cost: 16.6311\n", + " and the parameters are [-0.32986997 0.96532147] -0.6010599861971918 ;\n", + "Epoch 10/1000, Cost: 12.5509\n", + " and the parameters are [-0.32986122 0.96570225] -0.6012895918374859 ;\n", + "Epoch 10/1000, Cost: 18.7225\n", + " and the parameters are [-0.32987109 0.96583759] -0.6016625378560537 ;\n", + "Epoch 10/1000, Cost: 17.7202\n", + " and the parameters are [-0.32995101 0.96606847] -0.6019078950911251 ;\n", + "Epoch 10/1000, Cost: 16.3102\n", + " and the parameters are [-0.33026339 0.9661714 ] -0.6021690435897439 ;\n", + "Epoch 10/1000, Cost: 16.6114\n", + " and the parameters are [-0.33035757 0.96638797] -0.6024828664852461 ;\n", + "Epoch 10/1000, Cost: 14.2155\n", + " and the parameters are [-0.33036199 0.96671748] -0.602729959173513 ;\n", + "Epoch 10/1000, Cost: 17.1342\n", + " and the parameters are [-0.33060336 0.96675782] -0.6030810964441079 ;\n", + "Epoch 10/1000, Cost: 13.2878\n", + " and the parameters are [-0.3305957 0.96721365] -0.6032360902499871 ;\n", + "Epoch 10/1000, Cost: 15.2423\n", + " and the parameters are [-0.33069545 0.96747041] -0.6034409065146041 ;\n", + "Epoch 10/1000, Cost: 16.0735\n", + " and the parameters are [-0.33083182 0.96763566] -0.6037663366588412 ;\n", + "Epoch 10/1000, Cost: 15.1142\n", + " and the parameters are [-0.33100103 0.96781798] -0.6040200866670111 ;\n", + "Epoch 10/1000, Cost: 16.0266\n", + " and the parameters are [-0.33102559 0.96815182] -0.6042271989736446 ;\n", + "Epoch 10/1000, Cost: 15.3213\n", + " and the parameters are [-0.3311547 0.96844372] -0.6044055819199202 ;\n", + "Epoch 10/1000, Cost: 15.0046\n", + " and the parameters are [-0.33122529 0.96862727] -0.6047191323062256 ;\n", + "Epoch 10/1000, Cost: 18.5052\n", + " and the parameters are [-0.33140435 0.96866122] -0.6051082865895724 ;\n", + "Epoch 10/1000, Cost: 15.9571\n", + " and the parameters are [-0.33150603 0.96893384] -0.6053110737861342 ;\n", + "Epoch 10/1000, Cost: 12.8208\n", + " and the parameters are [-0.33166106 0.96930195] -0.605450685391694 ;\n", + "Epoch 10/1000, Cost: 15.5109\n", + " and the parameters are [-0.33182874 0.96941168] -0.6058342422048378 ;\n", + "Epoch 10/1000, Cost: 15.3404\n", + " and the parameters are [-0.33205469 0.96969745] -0.6059663677965331 ;\n", + "Epoch 10/1000, Cost: 17.5577\n", + " and the parameters are [-0.33220939 0.96987694] -0.6062916313470618 ;\n", + "Epoch 10/1000, Cost: 19.0902\n", + " and the parameters are [-0.33238822 0.96995879] -0.6066419336720172 ;\n", + "Epoch 10/1000, Cost: 18.0144\n", + " and the parameters are [-0.33276885 0.97005163] -0.606900266643018 ;\n", + "Epoch 10/1000, Cost: 17.2589\n", + " and the parameters are [-0.33283489 0.97017001] -0.6072846461894461 ;\n", + "Epoch 10/1000, Cost: 19.9782\n", + " and the parameters are [-0.33296481 0.97009554] -0.6078612163658984 ;\n", + "Epoch 10/1000, Cost: 17.6978\n", + " and the parameters are [-0.33320813 0.97019639] -0.60825687283994 ;\n", + "Epoch 10/1000, Cost: 17.4384\n", + " and the parameters are [-0.33341531 0.97031418] -0.6086430018576457 ;\n", + "Epoch 10/1000, Cost: 14.9741\n", + " and the parameters are [-0.33363409 0.9705931 ] -0.6087802450041164 ;\n", + "Epoch 10/1000, Cost: 14.3635\n", + " and the parameters are [-0.33363479 0.97091627] -0.6090168016811237 ;\n", + "Epoch 10/1000, Cost: 14.6675\n", + " and the parameters are [-0.33370839 0.97117354] -0.609237240071356 ;\n", + "Epoch 10/1000, Cost: 12.7088\n", + " and the parameters are [-0.33381568 0.97158446] -0.6093808764814523 ;\n", + "Epoch 10/1000, Cost: 17.0146\n", + " and the parameters are [-0.33404457 0.97173274] -0.6096921623901224 ;\n", + "Epoch 10/1000, Cost: 15.9723\n", + " and the parameters are [-0.3342803 0.97190529] -0.6100433634538424 ;\n", + "Epoch 10/1000, Cost: 15.9742\n", + " and the parameters are [-0.33452326 0.97205426] -0.6103717956408126 ;\n", + "Epoch 10/1000, Cost: 15.5541\n", + " and the parameters are [-0.33478544 0.97223498] -0.6105978356550688 ;\n", + "Epoch 10/1000, Cost: 15.6155\n", + " and the parameters are [-0.3349093 0.9724446] -0.6108400648042278 ;\n", + "Epoch 10/1000, Cost: 16.1363\n", + " and the parameters are [-0.33516206 0.9726696 ] -0.6110664524760542 ;\n", + "Epoch 10/1000, Cost: 18.1368\n", + " and the parameters are [-0.3352798 0.97279002] -0.6113685389129301 ;\n", + "Epoch 10/1000, Cost: 18.2935\n", + " and the parameters are [-0.33556867 0.97278657] -0.611737860161564 ;\n", + "Epoch 10/1000, Cost: 16.8385\n", + " and the parameters are [-0.33575105 0.97296829] -0.6120297950079182 ;\n", + "Epoch 10/1000, Cost: 19.4209\n", + " and the parameters are [-0.33620485 0.97293192] -0.6123400152817497 ;\n", + "Epoch 10/1000, Cost: 15.1956\n", + " and the parameters are [-0.33630818 0.97323672] -0.6126029053959 ;\n", + "Epoch 10/1000, Cost: 16.1264\n", + " and the parameters are [-0.33640078 0.97354006] -0.6127117313528161 ;\n", + "Epoch 10/1000, Cost: 15.8401\n", + " and the parameters are [-0.33658699 0.97378931] -0.6129648472026061 ;\n", + "Epoch 10/1000, Cost: 16.2861\n", + " and the parameters are [-0.33674144 0.97388341] -0.6133557968127993 ;\n", + "Epoch 10/1000, Cost: 21.0016\n", + " and the parameters are [-0.33731273 0.97371781] -0.6136581568409787 ;\n", + "Epoch 10/1000, Cost: 15.1298\n", + " and the parameters are [-0.3374289 0.97399849] -0.6138880697118183 ;\n", + "Epoch 10/1000, Cost: 13.8499\n", + " and the parameters are [-0.33763072 0.97434002] -0.6139980879529994 ;\n", + "Epoch 10/1000, Cost: 13.0878\n", + " and the parameters are [-0.3375025 0.97477865] -0.6141614173091313 ;\n", + "Epoch 10/1000, Cost: 12.4427\n", + " and the parameters are [-0.33742074 0.97520474] -0.6143120657738634 ;\n", + "Epoch 10/1000, Cost: 19.4368\n", + " and the parameters are [-0.33755148 0.9752563 ] -0.6147373855504228 ;\n", + "Epoch 10/1000, Cost: 16.9071\n", + " and the parameters are [-0.33785063 0.97537471] -0.6149942198155216 ;\n", + "Epoch 10/1000, Cost: 14.9555\n", + " and the parameters are [-0.33785309 0.97568892] -0.6151646705786527 ;\n", + "Epoch 10/1000, Cost: 16.2282\n", + " and the parameters are [-0.3380081 0.97590494] -0.6155470505384751 ;\n", + "Epoch 10/1000, Cost: 18.0001\n", + " and the parameters are [-0.33815271 0.97597181] -0.6158748958570394 ;\n", + "Epoch 10/1000, Cost: 20.6493\n", + " and the parameters are [-0.33841555 0.97580967] -0.6164020772878711 ;\n", + "Epoch 10/1000, Cost: 17.2071\n", + " and the parameters are [-0.33849783 0.97595381] -0.616752787810943 ;\n", + "Epoch 10/1000, Cost: 15.7813\n", + " and the parameters are [-0.3387542 0.97606047] -0.6170607134375138 ;\n", + "Epoch 10/1000, Cost: 17.4504\n", + " and the parameters are [-0.33890089 0.97609571] -0.6174502921933949 ;\n", + "Epoch 10/1000, Cost: 16.9344\n", + " and the parameters are [-0.33908084 0.97624782] -0.617762031239821 ;\n", + "Epoch 10/1000, Cost: 16.6070\n", + " and the parameters are [-0.33893501 0.9765321 ] -0.6181123753851943 ;\n", + "Epoch 10/1000, Cost: 15.9933\n", + " and the parameters are [-0.33896053 0.97676255] -0.6184192299397163 ;\n", + "Epoch 10/1000, Cost: 12.1673\n", + " and the parameters are [-0.33898736 0.9771149 ] -0.6185662252593372 ;\n", + "Epoch 10/1000, Cost: 18.0466\n", + " and the parameters are [-0.33925821 0.97713233] -0.6189291542031405 ;\n", + "Epoch 10/1000, Cost: 16.5076\n", + " and the parameters are [-0.33925353 0.97727194] -0.6193139774731324 ;\n", + "Epoch 10/1000, Cost: 13.5697\n", + " and the parameters are [-0.33957981 0.97768472] -0.6192954859853312 ;\n", + "Epoch 10/1000, Cost: 19.1245\n", + " and the parameters are [-0.3398166 0.97759726] -0.6197357916245685 ;\n", + "Epoch 10/1000, Cost: 14.9119\n", + " and the parameters are [-0.3399498 0.97781376] -0.6199805551071541 ;\n", + "Epoch 10/1000, Cost: 19.7074\n", + " and the parameters are [-0.3403041 0.97769661] -0.6204773860434891 ;\n", + "Epoch 10/1000, Cost: 14.4189\n", + " and the parameters are [-0.34030172 0.97789491] -0.6207801300575514 ;\n", + "Epoch 10/1000, Cost: 18.6588\n", + " and the parameters are [-0.34044679 0.9779912 ] -0.6211041311417372 ;\n", + "Epoch 10/1000, Cost: 16.4829\n", + " and the parameters are [-0.34046594 0.97820889] -0.6214543144957848 ;\n", + "Epoch 10/1000, Cost: 16.9102\n", + " and the parameters are [-0.3408015 0.97830695] -0.6216439869819799 ;\n", + "Epoch 10/1000, Cost: 19.5484\n", + " and the parameters are [-0.34100704 0.97831944] -0.6221335311394719 ;\n", + "Epoch 10/1000, Cost: 17.7688\n", + " and the parameters are [-0.34124906 0.97841966] -0.6224849797933734 ;\n", + "Epoch 10/1000, Cost: 15.4159\n", + " and the parameters are [-0.3414522 0.97859074] -0.6227469475640675 ;\n", + "Epoch 10/1000, Cost: 13.2217\n", + " and the parameters are [-0.34151846 0.97896711] -0.6229482347226505 ;\n", + "Epoch 10/1000, Cost: 16.0227\n", + " and the parameters are [-0.34175069 0.97913352] -0.6232398548614846 ;\n", + "Epoch 10/1000, Cost: 13.3759\n", + " and the parameters are [-0.34199655 0.97952904] -0.6233389192713302 ;\n", + "Epoch 10/1000, Cost: 13.6635\n", + " and the parameters are [-0.34220171 0.97973419] -0.6236137119064635 ;\n", + "Epoch 10/1000, Cost: 13.0901\n", + " and the parameters are [-0.34202642 0.98017453] -0.6238237575455081 ;\n", + "Epoch 10/1000, Cost: 16.0542\n", + " and the parameters are [-0.34206115 0.98038222] -0.6241509200298331 ;\n", + "Epoch 10/1000, Cost: 14.5279\n", + " and the parameters are [-0.34230339 0.98052197] -0.6244869372637863 ;\n", + "Epoch 10/1000, Cost: 16.2247\n", + " and the parameters are [-0.34243899 0.98069613] -0.6248225250248474 ;\n", + "Epoch 10/1000, Cost: 16.8204\n", + " and the parameters are [-0.34273933 0.98081885] -0.6251052821847004 ;\n", + "Epoch 10/1000, Cost: 17.9471\n", + " and the parameters are [-0.34304773 0.98096946] -0.6253836859170643 ;\n", + "Epoch 10/1000, Cost: 16.3001\n", + " and the parameters are [-0.34316623 0.98115437] -0.6256714907076805 ;\n", + "Epoch 10/1000, Cost: 13.6434\n", + " and the parameters are [-0.3432794 0.98137834] -0.6259260647445613 ;\n", + "Epoch 10/1000, Cost: 16.8916\n", + " and the parameters are [-0.3435638 0.98145823] -0.6262324889456732 ;\n", + "Epoch 10/1000, Cost: 18.5267\n", + " and the parameters are [-0.34371124 0.98154708] -0.6266141996766073 ;\n", + "Epoch 10/1000, Cost: 12.5312\n", + " and the parameters are [-0.34384823 0.98188069] -0.6268092308823573 ;\n", + "Epoch 10/1000, Cost: 16.9944\n", + " and the parameters are [-0.34408597 0.98195031] -0.6271157180437649 ;\n", + "Epoch 10/1000, Cost: 17.3713\n", + " and the parameters are [-0.34423141 0.98213698] -0.6274375669991623 ;\n", + "Epoch 20/1000, Cost: 11.9201\n", + " and the parameters are [-0.59334184 1.24372934] -1.0648992941453315 ;\n", + "Epoch 20/1000, Cost: 13.9249\n", + " and the parameters are [-0.59354124 1.24370256] -1.0651388191185132 ;\n", + "Epoch 20/1000, Cost: 10.4214\n", + " and the parameters are [-0.59365036 1.24390975] -1.0653158413727453 ;\n", + "Epoch 20/1000, Cost: 11.9402\n", + " and the parameters are [-0.5938664 1.24395712] -1.0655631093053912 ;\n", + "Epoch 20/1000, Cost: 13.3645\n", + " and the parameters are [-0.59417847 1.2438881 ] -1.0658276447228494 ;\n", + "Epoch 20/1000, Cost: 11.8685\n", + " and the parameters are [-0.59414157 1.24399849] -1.0661198094470552 ;\n", + "Epoch 20/1000, Cost: 12.0560\n", + " and the parameters are [-0.59412155 1.24415804] -1.0663512717443013 ;\n", + "Epoch 20/1000, Cost: 13.9171\n", + " and the parameters are [-0.59435256 1.244204 ] -1.066597098184519 ;\n", + "Epoch 20/1000, Cost: 12.5510\n", + " and the parameters are [-0.59450004 1.24432164] -1.0668180546100452 ;\n", + "Epoch 20/1000, Cost: 12.9141\n", + " and the parameters are [-0.59467234 1.24435713] -1.0670779379411368 ;\n", + "Epoch 20/1000, Cost: 12.4449\n", + " and the parameters are [-0.59485675 1.24447861] -1.067238726982613 ;\n", + "Epoch 20/1000, Cost: 10.5851\n", + " and the parameters are [-0.59491508 1.24471636] -1.0674247236901844 ;\n", + "Epoch 20/1000, Cost: 15.0227\n", + " and the parameters are [-0.59513081 1.24462794] -1.0677849133131325 ;\n", + "Epoch 20/1000, Cost: 9.1951\n", + " and the parameters are [-0.59522969 1.24490289] -1.0678492620346052 ;\n", + "Epoch 20/1000, Cost: 12.4563\n", + " and the parameters are [-0.59530813 1.24503184] -1.0680837381883572 ;\n", + "Epoch 20/1000, Cost: 13.9106\n", + " and the parameters are [-0.59551773 1.2450337 ] -1.0683724599274746 ;\n", + "Epoch 20/1000, Cost: 10.4382\n", + " and the parameters are [-0.59568233 1.24521641] -1.0685199917670614 ;\n", + "Epoch 20/1000, Cost: 10.3570\n", + " and the parameters are [-0.59577727 1.24540792] -1.0687034483583626 ;\n", + "Epoch 20/1000, Cost: 13.1511\n", + " and the parameters are [-0.595944 1.24559842] -1.0687908848800325 ;\n", + "Epoch 20/1000, Cost: 9.9277\n", + " and the parameters are [-0.59594414 1.2458354 ] -1.0689390194226283 ;\n", + "Epoch 20/1000, Cost: 8.7947\n", + " and the parameters are [-0.59597451 1.24611258] -1.0690494438345235 ;\n", + "Epoch 20/1000, Cost: 13.8752\n", + " and the parameters are [-0.59613324 1.2461536 ] -1.0693160570730385 ;\n", + "Epoch 20/1000, Cost: 14.0475\n", + " and the parameters are [-0.59619203 1.24619286] -1.0695990910342015 ;\n", + "Epoch 20/1000, Cost: 12.7371\n", + " and the parameters are [-0.59627835 1.2462306 ] -1.0699274400204335 ;\n", + "Epoch 20/1000, Cost: 12.2174\n", + " and the parameters are [-0.5965102 1.24625137] -1.0701672529963016 ;\n", + "Epoch 20/1000, Cost: 11.9252\n", + " and the parameters are [-0.59669071 1.24639921] -1.070309023683556 ;\n", + "Epoch 20/1000, Cost: 11.1927\n", + " and the parameters are [-0.59670205 1.24668049] -1.070451010440803 ;\n", + "Epoch 20/1000, Cost: 11.1822\n", + " and the parameters are [-0.59682524 1.24677938] -1.0707183747392697 ;\n", + "Epoch 20/1000, Cost: 11.0790\n", + " and the parameters are [-0.59687204 1.24700323] -1.0709129609496055 ;\n", + "Epoch 20/1000, Cost: 13.0879\n", + " and the parameters are [-0.59669432 1.24732986] -1.0710735509271363 ;\n", + "Epoch 20/1000, Cost: 12.2663\n", + " and the parameters are [-0.59672072 1.24750021] -1.071298328834317 ;\n", + "Epoch 20/1000, Cost: 12.1887\n", + " and the parameters are [-0.59666354 1.24771773] -1.0715303929902185 ;\n", + "Epoch 20/1000, Cost: 11.9905\n", + " and the parameters are [-0.59680291 1.24783274] -1.0717144339767712 ;\n", + "Epoch 20/1000, Cost: 10.1709\n", + " and the parameters are [-0.59687029 1.2480566 ] -1.071830730786288 ;\n", + "Epoch 20/1000, Cost: 8.4563\n", + " and the parameters are [-0.59695262 1.2483563 ] -1.0718995063806966 ;\n", + "Epoch 20/1000, Cost: 12.5616\n", + " and the parameters are [-0.59709914 1.24843243] -1.0721569252033325 ;\n", + "Epoch 20/1000, Cost: 9.6933\n", + " and the parameters are [-0.59714116 1.24871131] -1.0722697690902367 ;\n", + "Epoch 20/1000, Cost: 13.0914\n", + " and the parameters are [-0.5974377 1.24876788] -1.072456528785648 ;\n", + "Epoch 20/1000, Cost: 11.4997\n", + " and the parameters are [-0.597478 1.24905441] -1.0725322887388695 ;\n", + "Epoch 20/1000, Cost: 12.4107\n", + " and the parameters are [-0.59753637 1.24916871] -1.0727746257267432 ;\n", + "Epoch 20/1000, Cost: 11.3766\n", + " and the parameters are [-0.59762446 1.24943115] -1.0728936492370125 ;\n", + "Epoch 20/1000, Cost: 12.0478\n", + " and the parameters are [-0.59790892 1.24942867] -1.073174721100915 ;\n", + "Epoch 20/1000, Cost: 13.3232\n", + " and the parameters are [-0.59802175 1.24951936] -1.073395619665504 ;\n", + "Epoch 20/1000, Cost: 15.9144\n", + " and the parameters are [-0.59825462 1.24953962] -1.0736139444578559 ;\n", + "Epoch 20/1000, Cost: 10.1584\n", + " and the parameters are [-0.59842005 1.24975211] -1.0736735774237145 ;\n", + "Epoch 20/1000, Cost: 14.0393\n", + " and the parameters are [-0.59853222 1.24985373] -1.0739158407739775 ;\n", + "Epoch 20/1000, Cost: 11.5059\n", + " and the parameters are [-0.5986163 1.24998826] -1.0741572935738324 ;\n", + "Epoch 20/1000, Cost: 14.1880\n", + " and the parameters are [-0.59877546 1.25002682] -1.0744239876756183 ;\n", + "Epoch 20/1000, Cost: 13.3438\n", + " and the parameters are [-0.59879617 1.25016015] -1.0746825508347086 ;\n", + "Epoch 20/1000, Cost: 13.2970\n", + " and the parameters are [-0.59887905 1.25029545] -1.0749093238140697 ;\n", + "Epoch 20/1000, Cost: 10.9697\n", + " and the parameters are [-0.59896315 1.25058454] -1.0750314186051784 ;\n", + "Epoch 20/1000, Cost: 12.2138\n", + " and the parameters are [-0.59919227 1.25071669] -1.0752144936719534 ;\n", + "Epoch 20/1000, Cost: 8.8057\n", + " and the parameters are [-0.59927167 1.2509884 ] -1.0753128353162114 ;\n", + "Epoch 20/1000, Cost: 14.1687\n", + " and the parameters are [-0.59942469 1.25097198] -1.075640911189152 ;\n", + "Epoch 20/1000, Cost: 15.1360\n", + " and the parameters are [-0.5994652 1.25108856] -1.0758804519544505 ;\n", + "Epoch 20/1000, Cost: 12.5230\n", + " and the parameters are [-0.59962198 1.25110473] -1.076147889434867 ;\n", + "Epoch 20/1000, Cost: 12.0486\n", + " and the parameters are [-0.59950499 1.2513571 ] -1.076331701413329 ;\n", + "Epoch 20/1000, Cost: 13.0871\n", + " and the parameters are [-0.59961032 1.25143598] -1.076607227061002 ;\n", + "Epoch 20/1000, Cost: 12.4363\n", + " and the parameters are [-0.59970652 1.25154428] -1.076835243557782 ;\n", + "Epoch 20/1000, Cost: 10.3479\n", + " and the parameters are [-0.59988555 1.25169859] -1.0769982335002917 ;\n", + "Epoch 20/1000, Cost: 11.5364\n", + " and the parameters are [-0.60010354 1.25184349] -1.0771544823373023 ;\n", + "Epoch 20/1000, Cost: 14.0792\n", + " and the parameters are [-0.60031342 1.25182075] -1.0774053763572522 ;\n", + "Epoch 20/1000, Cost: 12.4019\n", + " and the parameters are [-0.6004368 1.25197282] -1.0776123103975488 ;\n", + "Epoch 20/1000, Cost: 14.9978\n", + " and the parameters are [-0.6005818 1.25195368] -1.077944931700697 ;\n", + "Epoch 20/1000, Cost: 13.4317\n", + " and the parameters are [-0.6007065 1.25212349] -1.0780922167758855 ;\n", + "Epoch 20/1000, Cost: 12.4779\n", + " and the parameters are [-0.6008949 1.2521498] -1.0783112461621251 ;\n", + "Epoch 20/1000, Cost: 14.3485\n", + " and the parameters are [-0.60099983 1.25214449] -1.078626387285936 ;\n", + "Epoch 20/1000, Cost: 12.4049\n", + " and the parameters are [-0.60132642 1.25218684] -1.078817409587241 ;\n", + "Epoch 20/1000, Cost: 12.8240\n", + " and the parameters are [-0.60152797 1.25223978] -1.0790677728441957 ;\n", + "Epoch 20/1000, Cost: 11.9235\n", + " and the parameters are [-0.60173023 1.25240457] -1.0792502876906156 ;\n", + "Epoch 20/1000, Cost: 14.9001\n", + " and the parameters are [-0.60179559 1.25247484] -1.07951994931238 ;\n", + "Epoch 20/1000, Cost: 12.4613\n", + " and the parameters are [-0.60202295 1.25254114] -1.0796721676069314 ;\n", + "Epoch 20/1000, Cost: 15.7960\n", + " and the parameters are [-0.60213017 1.252415 ] -1.0800712024825094 ;\n", + "Epoch 20/1000, Cost: 13.2735\n", + " and the parameters are [-0.6023474 1.25256143] -1.0802066171859546 ;\n", + "Epoch 20/1000, Cost: 13.3494\n", + " and the parameters are [-0.60258073 1.25254671] -1.080450675049179 ;\n", + "Epoch 20/1000, Cost: 12.6531\n", + " and the parameters are [-0.6027464 1.25255249] -1.0807762923575588 ;\n", + "Epoch 20/1000, Cost: 13.6858\n", + " and the parameters are [-0.60292044 1.25252529] -1.0810555405062052 ;\n", + "Epoch 20/1000, Cost: 14.5027\n", + " and the parameters are [-0.60322303 1.25239366] -1.0813315082063781 ;\n", + "Epoch 20/1000, Cost: 12.6731\n", + " and the parameters are [-0.60338616 1.25247091] -1.0815339510159934 ;\n", + "Epoch 20/1000, Cost: 11.9448\n", + " and the parameters are [-0.60346916 1.25269768] -1.0816803949722078 ;\n", + "Epoch 20/1000, Cost: 13.2286\n", + " and the parameters are [-0.60377952 1.25261017] -1.0820012123008298 ;\n", + "Epoch 20/1000, Cost: 11.7980\n", + " and the parameters are [-0.60384851 1.2527777 ] -1.0822105626913097 ;\n", + "Epoch 20/1000, Cost: 12.4224\n", + " and the parameters are [-0.60401127 1.25294573] -1.0823567415204385 ;\n", + "Epoch 20/1000, Cost: 11.2689\n", + " and the parameters are [-0.60405722 1.25320024] -1.0824522786183428 ;\n", + "Epoch 20/1000, Cost: 13.4347\n", + " and the parameters are [-0.60412882 1.2533059 ] -1.08268682345511 ;\n", + "Epoch 20/1000, Cost: 11.6527\n", + " and the parameters are [-0.60425022 1.25347754] -1.0828316912981215 ;\n", + "Epoch 20/1000, Cost: 11.6675\n", + " and the parameters are [-0.60430258 1.25371256] -1.083036002454596 ;\n", + "Epoch 20/1000, Cost: 12.1426\n", + " and the parameters are [-0.60456363 1.25382011] -1.0831420148684061 ;\n", + "Epoch 20/1000, Cost: 18.0868\n", + " and the parameters are [-0.60477871 1.25355473] -1.0835432816429738 ;\n", + "Epoch 20/1000, Cost: 13.5029\n", + " and the parameters are [-0.6048383 1.2536527] -1.0837891064912581 ;\n", + "Epoch 20/1000, Cost: 16.8928\n", + " and the parameters are [-0.60492909 1.2536213 ] -1.0840430448741474 ;\n", + "Epoch 20/1000, Cost: 11.3510\n", + " and the parameters are [-0.60498058 1.25377426] -1.0842995493782122 ;\n", + "Epoch 20/1000, Cost: 15.9773\n", + " and the parameters are [-0.60517964 1.25373287] -1.08457128710622 ;\n", + "Epoch 20/1000, Cost: 10.4874\n", + " and the parameters are [-0.60522302 1.25391769] -1.0847797769714516 ;\n", + "Epoch 20/1000, Cost: 13.0507\n", + " and the parameters are [-0.60534785 1.25404288] -1.0850068183285695 ;\n", + "Epoch 20/1000, Cost: 14.0195\n", + " and the parameters are [-0.60551827 1.25405423] -1.0852928977733391 ;\n", + "Epoch 20/1000, Cost: 12.9395\n", + " and the parameters are [-0.60574336 1.25414449] -1.0854692317345611 ;\n", + "Epoch 20/1000, Cost: 11.4707\n", + " and the parameters are [-0.60579039 1.25434888] -1.085636438082673 ;\n", + "Epoch 20/1000, Cost: 14.7045\n", + " and the parameters are [-0.60609354 1.25437257] -1.085818473799792 ;\n", + "Epoch 20/1000, Cost: 13.1234\n", + " and the parameters are [-0.60613638 1.2546026 ] -1.0858975091806422 ;\n", + "Epoch 20/1000, Cost: 12.8011\n", + " and the parameters are [-0.60630193 1.25475025] -1.085999904383747 ;\n", + "Epoch 20/1000, Cost: 10.7128\n", + " and the parameters are [-0.60630041 1.25499436] -1.0861242448613415 ;\n", + "Epoch 20/1000, Cost: 11.4535\n", + " and the parameters are [-0.60633829 1.25523196] -1.086250787172445 ;\n", + "Epoch 20/1000, Cost: 11.7241\n", + " and the parameters are [-0.60624777 1.25545813] -1.0865052721361337 ;\n", + "Epoch 20/1000, Cost: 12.9057\n", + " and the parameters are [-0.60648464 1.25550805] -1.0866931214512685 ;\n", + "Epoch 20/1000, Cost: 10.1472\n", + " and the parameters are [-0.60649545 1.25574348] -1.086878400879473 ;\n", + "Epoch 20/1000, Cost: 13.5221\n", + " and the parameters are [-0.60674491 1.25569297] -1.0871084762296461 ;\n", + "Epoch 20/1000, Cost: 11.2817\n", + " and the parameters are [-0.60695868 1.25575488] -1.0873528210696188 ;\n", + "Epoch 20/1000, Cost: 11.9992\n", + " and the parameters are [-0.60708732 1.25587481] -1.087555793960234 ;\n", + "Epoch 20/1000, Cost: 14.7348\n", + " and the parameters are [-0.60741272 1.25574997] -1.0878952655791834 ;\n", + "Epoch 20/1000, Cost: 11.9470\n", + " and the parameters are [-0.60757656 1.25578317] -1.0881413198353462 ;\n", + "Epoch 20/1000, Cost: 11.8068\n", + " and the parameters are [-0.60767313 1.25596153] -1.088313170357985 ;\n", + "Epoch 20/1000, Cost: 12.0057\n", + " and the parameters are [-0.60768839 1.25610748] -1.0885359222922733 ;\n", + "Epoch 20/1000, Cost: 10.4057\n", + " and the parameters are [-0.60775156 1.2563647 ] -1.0886048244171587 ;\n", + "Epoch 20/1000, Cost: 11.6011\n", + " and the parameters are [-0.60778641 1.25658031] -1.0887635419831996 ;\n", + "Epoch 20/1000, Cost: 14.5063\n", + " and the parameters are [-0.60801197 1.25646824] -1.0891465313274857 ;\n", + "Epoch 20/1000, Cost: 13.1491\n", + " and the parameters are [-0.60826038 1.25649899] -1.0893714769637932 ;\n", + "Epoch 20/1000, Cost: 14.4972\n", + " and the parameters are [-0.608301 1.25658262] -1.0896820051795415 ;\n", + "Epoch 20/1000, Cost: 12.0428\n", + " and the parameters are [-0.60828499 1.2567224 ] -1.0899376506079856 ;\n", + "Epoch 20/1000, Cost: 12.2223\n", + " and the parameters are [-0.60828551 1.25693313] -1.090146523610228 ;\n", + "Epoch 20/1000, Cost: 14.0269\n", + " and the parameters are [-0.60847792 1.25697957] -1.090342830146369 ;\n", + "Epoch 20/1000, Cost: 10.5818\n", + " and the parameters are [-0.60841844 1.25733243] -1.0904307008878744 ;\n", + "Epoch 20/1000, Cost: 11.9774\n", + " and the parameters are [-0.60859164 1.25741528] -1.0906466053433528 ;\n", + "Epoch 20/1000, Cost: 13.8597\n", + " and the parameters are [-0.60873895 1.25752566] -1.0909024429263905 ;\n", + "Epoch 20/1000, Cost: 12.2149\n", + " and the parameters are [-0.60873678 1.25773676] -1.0910812032751704 ;\n", + "Epoch 20/1000, Cost: 13.9102\n", + " and the parameters are [-0.60883975 1.25781111] -1.0913421204888505 ;\n", + "Epoch 20/1000, Cost: 12.7907\n", + " and the parameters are [-0.60919394 1.25788629] -1.0913758588937068 ;\n", + "Epoch 20/1000, Cost: 13.0675\n", + " and the parameters are [-0.60934621 1.25802892] -1.0915744647645962 ;\n", + "Epoch 20/1000, Cost: 10.4593\n", + " and the parameters are [-0.60940117 1.25827344] -1.0917259814023406 ;\n", + "Epoch 20/1000, Cost: 11.4076\n", + " and the parameters are [-0.60950747 1.258397 ] -1.0919754562923132 ;\n", + "Epoch 20/1000, Cost: 13.8564\n", + " and the parameters are [-0.60950665 1.25850787] -1.092189674598289 ;\n", + "Epoch 20/1000, Cost: 8.9775\n", + " and the parameters are [-0.60950379 1.25882304] -1.0922555052800695 ;\n", + "Epoch 20/1000, Cost: 11.9364\n", + " and the parameters are [-0.60964265 1.25899814] -1.0923930084419 ;\n", + "Epoch 20/1000, Cost: 13.4291\n", + " and the parameters are [-0.60973476 1.25904391] -1.0926795749675116 ;\n", + "Epoch 20/1000, Cost: 14.4676\n", + " and the parameters are [-0.61010276 1.25899877] -1.092955211159046 ;\n", + "Epoch 20/1000, Cost: 12.6615\n", + " and the parameters are [-0.6102364 1.25922844] -1.0930293009826146 ;\n", + "Epoch 20/1000, Cost: 13.1771\n", + " and the parameters are [-0.61028528 1.25941429] -1.0932564392996893 ;\n", + "Epoch 20/1000, Cost: 12.8949\n", + " and the parameters are [-0.61036105 1.25946863] -1.0935334259201661 ;\n", + "Epoch 20/1000, Cost: 15.6266\n", + " and the parameters are [-0.61049486 1.25928555] -1.093856542367628 ;\n", + "Epoch 20/1000, Cost: 12.8009\n", + " and the parameters are [-0.61053916 1.259417 ] -1.094117340027558 ;\n", + "Epoch 20/1000, Cost: 10.8163\n", + " and the parameters are [-0.61067593 1.25956119] -1.09427348631672 ;\n", + "Epoch 20/1000, Cost: 11.4291\n", + " and the parameters are [-0.61073776 1.25981787] -1.094425265202919 ;\n", + "Epoch 20/1000, Cost: 11.7742\n", + " and the parameters are [-0.6108588 1.25994187] -1.0945726009545285 ;\n", + "Epoch 20/1000, Cost: 12.2948\n", + " and the parameters are [-0.6109141 1.2601148] -1.0947692165355531 ;\n", + "Epoch 20/1000, Cost: 12.0361\n", + " and the parameters are [-0.61105017 1.26023625] -1.094991424655296 ;\n", + "Epoch 20/1000, Cost: 12.0994\n", + " and the parameters are [-0.61126402 1.26032477] -1.0951622570421833 ;\n", + "Epoch 20/1000, Cost: 10.9781\n", + " and the parameters are [-0.61131415 1.26062318] -1.0952506746273858 ;\n", + "Epoch 20/1000, Cost: 9.5613\n", + " and the parameters are [-0.6113792 1.26092232] -1.0953382490127885 ;\n", + "Epoch 20/1000, Cost: 9.7204\n", + " and the parameters are [-0.61147919 1.26110276] -1.0955652291174223 ;\n", + "Epoch 20/1000, Cost: 13.0398\n", + " and the parameters are [-0.61165497 1.26123357] -1.0957067642257556 ;\n", + "Epoch 20/1000, Cost: 12.4263\n", + " and the parameters are [-0.61186662 1.26136848] -1.0958294217149045 ;\n", + "Epoch 20/1000, Cost: 11.7384\n", + " and the parameters are [-0.61195026 1.26155144] -1.0960148845275985 ;\n", + "Epoch 20/1000, Cost: 11.2347\n", + " and the parameters are [-0.61190645 1.26183183] -1.096179313552001 ;\n", + "Epoch 20/1000, Cost: 12.5312\n", + " and the parameters are [-0.61213677 1.26189941] -1.0963916771218263 ;\n", + "Epoch 20/1000, Cost: 12.2584\n", + " and the parameters are [-0.61205436 1.26214562] -1.0965775100365844 ;\n", + "Epoch 20/1000, Cost: 14.4422\n", + " and the parameters are [-0.61215449 1.26221825] -1.0968164096968869 ;\n", + "Epoch 20/1000, Cost: 13.7504\n", + " and the parameters are [-0.6122726 1.2623143] -1.097058746966936 ;\n", + "Epoch 20/1000, Cost: 11.1854\n", + " and the parameters are [-0.61226778 1.2625184 ] -1.097249186848504 ;\n", + "Epoch 20/1000, Cost: 13.9484\n", + " and the parameters are [-0.61245852 1.26255276] -1.09748397920132 ;\n", + "Epoch 20/1000, Cost: 11.3146\n", + " and the parameters are [-0.61260313 1.26265671] -1.0977056939089116 ;\n", + "Epoch 20/1000, Cost: 12.5339\n", + " and the parameters are [-0.61262946 1.2627805 ] -1.0979889775500584 ;\n", + "Epoch 20/1000, Cost: 13.8474\n", + " and the parameters are [-0.61286109 1.26292186] -1.0980614516635459 ;\n", + "Epoch 20/1000, Cost: 8.7276\n", + " and the parameters are [-0.61284112 1.26324294] -1.0981792567985438 ;\n", + "Epoch 20/1000, Cost: 8.9950\n", + " and the parameters are [-0.61288221 1.26356008] -1.0983053685575925 ;\n", + "Epoch 20/1000, Cost: 11.7266\n", + " and the parameters are [-0.61295871 1.26368632] -1.0984922343314232 ;\n", + "Epoch 20/1000, Cost: 16.0552\n", + " and the parameters are [-0.61319908 1.26357314] -1.0988087563526794 ;\n", + "Epoch 20/1000, Cost: 11.1818\n", + " and the parameters are [-0.61333616 1.26372295] -1.0990441651365481 ;\n", + "Epoch 20/1000, Cost: 10.6981\n", + " and the parameters are [-0.61331314 1.2638865 ] -1.0992756225006233 ;\n", + "Epoch 20/1000, Cost: 13.8131\n", + " and the parameters are [-0.61350678 1.26391584] -1.0995020405129108 ;\n", + "Epoch 20/1000, Cost: 8.7038\n", + " and the parameters are [-0.6136479 1.26415487] -1.0995658478647663 ;\n", + "Epoch 20/1000, Cost: 12.0950\n", + " and the parameters are [-0.6137783 1.2642019] -1.0998193802954666 ;\n", + "Epoch 20/1000, Cost: 11.2229\n", + " and the parameters are [-0.61390469 1.26448397] -1.0998818300247568 ;\n", + "Epoch 20/1000, Cost: 11.1440\n", + " and the parameters are [-0.6139406 1.26466422] -1.1000768939334566 ;\n", + "Epoch 20/1000, Cost: 13.4257\n", + " and the parameters are [-0.61397691 1.26474007] -1.1003822107490697 ;\n", + "Epoch 20/1000, Cost: 13.3546\n", + " and the parameters are [-0.61413235 1.26477039] -1.1006854498710368 ;\n", + "Epoch 20/1000, Cost: 10.8819\n", + " and the parameters are [-0.61415645 1.26507587] -1.1007580403446864 ;\n", + "Epoch 20/1000, Cost: 12.2340\n", + " and the parameters are [-0.61407839 1.26526923] -1.1010280098476457 ;\n", + "Epoch 20/1000, Cost: 11.9221\n", + " and the parameters are [-0.61413025 1.26539879] -1.1013077310514803 ;\n", + "Epoch 20/1000, Cost: 11.6622\n", + " and the parameters are [-0.61421899 1.26558551] -1.1014993827880184 ;\n", + "Epoch 20/1000, Cost: 12.0059\n", + " and the parameters are [-0.6144124 1.26568223] -1.1016667579951636 ;\n", + "Epoch 20/1000, Cost: 11.6392\n", + " and the parameters are [-0.61464879 1.26579565] -1.1018452075374212 ;\n", + "Epoch 20/1000, Cost: 13.5453\n", + " and the parameters are [-0.614825 1.26586615] -1.101973787315907 ;\n", + "Epoch 20/1000, Cost: 11.3808\n", + " and the parameters are [-0.61494046 1.26604772] -1.1020930981344288 ;\n", + "Epoch 20/1000, Cost: 11.3066\n", + " and the parameters are [-0.61502244 1.26618089] -1.1022971289832721 ;\n", + "Epoch 20/1000, Cost: 10.5838\n", + " and the parameters are [-0.61491187 1.26643234] -1.1025103348915666 ;\n", + "Epoch 20/1000, Cost: 11.9540\n", + " and the parameters are [-0.61510496 1.26648108] -1.1027166657164498 ;\n", + "Epoch 20/1000, Cost: 9.8455\n", + " and the parameters are [-0.61517827 1.26669751] -1.1028719147455233 ;\n", + "Epoch 20/1000, Cost: 14.4629\n", + " and the parameters are [-0.61530376 1.26669461] -1.1031963225055823 ;\n", + "Epoch 20/1000, Cost: 9.8309\n", + " and the parameters are [-0.61529195 1.26692374] -1.10338255926354 ;\n", + "Epoch 20/1000, Cost: 15.1923\n", + " and the parameters are [-0.61558216 1.26667469] -1.1038016991511952 ;\n", + "Epoch 20/1000, Cost: 13.0288\n", + " and the parameters are [-0.61572633 1.26680556] -1.1039492529356474 ;\n", + "Epoch 20/1000, Cost: 11.9837\n", + " and the parameters are [-0.61592692 1.26682654] -1.1042174012316834 ;\n", + "Epoch 20/1000, Cost: 12.4287\n", + " and the parameters are [-0.61599382 1.26687885] -1.1045194761652457 ;\n", + "Epoch 20/1000, Cost: 13.6943\n", + " and the parameters are [-0.61607422 1.26691957] -1.1048478585723434 ;\n", + "Epoch 20/1000, Cost: 13.4634\n", + " and the parameters are [-0.61625806 1.26696122] -1.1051282427607216 ;\n", + "Epoch 20/1000, Cost: 12.3669\n", + " and the parameters are [-0.61633953 1.26707527] -1.105330259255009 ;\n", + "Epoch 20/1000, Cost: 13.8165\n", + " and the parameters are [-0.6164887 1.26717091] -1.1055055184783116 ;\n", + "Epoch 20/1000, Cost: 8.8067\n", + " and the parameters are [-0.61655427 1.26760624] -1.105462720339332 ;\n", + "Epoch 20/1000, Cost: 11.3889\n", + " and the parameters are [-0.61666029 1.26777913] -1.1056622554246787 ;\n", + "Epoch 20/1000, Cost: 11.2437\n", + " and the parameters are [-0.61695345 1.26784611] -1.1058442249906306 ;\n", + "Epoch 30/1000, Cost: 10.7899\n", + " and the parameters are [-0.80248506 1.46026454] -1.4290872497987088 ;\n", + "Epoch 30/1000, Cost: 10.2531\n", + " and the parameters are [-0.80254649 1.46036765] -1.4292672913134215 ;\n", + "Epoch 30/1000, Cost: 11.5439\n", + " and the parameters are [-0.80262086 1.46047658] -1.4294301328364387 ;\n", + "Epoch 30/1000, Cost: 10.3783\n", + " and the parameters are [-0.80266438 1.4605918 ] -1.429606730104024 ;\n", + "Epoch 30/1000, Cost: 9.8620\n", + " and the parameters are [-0.80284696 1.46072093] -1.4297090114612363 ;\n", + "Epoch 30/1000, Cost: 10.5409\n", + " and the parameters are [-0.8027989 1.4609308] -1.4298619014430947 ;\n", + "Epoch 30/1000, Cost: 9.9821\n", + " and the parameters are [-0.80290134 1.46122828] -1.4298207511403753 ;\n", + "Epoch 30/1000, Cost: 11.7873\n", + " and the parameters are [-0.80310716 1.46112604] -1.430097324584745 ;\n", + "Epoch 30/1000, Cost: 10.3648\n", + " and the parameters are [-0.80305295 1.46125412] -1.4302969640969758 ;\n", + "Epoch 30/1000, Cost: 9.8218\n", + " and the parameters are [-0.80307683 1.46133581] -1.43049729990495 ;\n", + "Epoch 30/1000, Cost: 10.6888\n", + " and the parameters are [-0.80315379 1.46138273] -1.430712338587179 ;\n", + "Epoch 30/1000, Cost: 10.3341\n", + " and the parameters are [-0.80330352 1.46141638] -1.4309011940046463 ;\n", + "Epoch 30/1000, Cost: 10.3872\n", + " and the parameters are [-0.80337242 1.46147162] -1.4310965842398076 ;\n", + "Epoch 30/1000, Cost: 11.0050\n", + " and the parameters are [-0.80342862 1.46153633] -1.431268838571654 ;\n", + "Epoch 30/1000, Cost: 10.8745\n", + " and the parameters are [-0.80349374 1.46154539] -1.4314959995756544 ;\n", + "Epoch 30/1000, Cost: 8.4188\n", + " and the parameters are [-0.80348331 1.46174809] -1.4316197516005158 ;\n", + "Epoch 30/1000, Cost: 10.1332\n", + " and the parameters are [-0.80348115 1.46197277] -1.4317224894813927 ;\n", + "Epoch 30/1000, Cost: 6.4309\n", + " and the parameters are [-0.80356333 1.46219893] -1.4317653754425925 ;\n", + "Epoch 30/1000, Cost: 12.1580\n", + " and the parameters are [-0.80357346 1.46229606] -1.4319833858547075 ;\n", + "Epoch 30/1000, Cost: 11.5903\n", + " and the parameters are [-0.80365634 1.46230509] -1.4322203021182494 ;\n", + "Epoch 30/1000, Cost: 8.2420\n", + " and the parameters are [-0.80376881 1.4626163 ] -1.4322096030462224 ;\n", + "Epoch 30/1000, Cost: 8.1497\n", + " and the parameters are [-0.80377136 1.46275877] -1.4323892653845742 ;\n", + "Epoch 30/1000, Cost: 13.3705\n", + " and the parameters are [-0.80405525 1.46248213] -1.4327358637863334 ;\n", + "Epoch 30/1000, Cost: 9.0193\n", + " and the parameters are [-0.80418649 1.46260346] -1.4328540595168595 ;\n", + "Epoch 30/1000, Cost: 10.0682\n", + " and the parameters are [-0.80441113 1.46268266] -1.4329040751872917 ;\n", + "Epoch 30/1000, Cost: 9.1620\n", + " and the parameters are [-0.80458368 1.46273514] -1.4330211374003008 ;\n", + "Epoch 30/1000, Cost: 9.2525\n", + " and the parameters are [-0.80456305 1.46288315] -1.4332138463866773 ;\n", + "Epoch 30/1000, Cost: 7.7169\n", + " and the parameters are [-0.80464084 1.46311539] -1.4332756266663238 ;\n", + "Epoch 30/1000, Cost: 11.2072\n", + " and the parameters are [-0.80483545 1.46310059] -1.4334811444878013 ;\n", + "Epoch 30/1000, Cost: 12.8784\n", + " and the parameters are [-0.80503444 1.46306375] -1.4337030952427983 ;\n", + "Epoch 30/1000, Cost: 9.9511\n", + " and the parameters are [-0.80505795 1.46326852] -1.43379869305683 ;\n", + "Epoch 30/1000, Cost: 9.0329\n", + " and the parameters are [-0.80509298 1.46348142] -1.4339097501578635 ;\n", + "Epoch 30/1000, Cost: 10.0875\n", + " and the parameters are [-0.80514259 1.46360729] -1.4340605313606414 ;\n", + "Epoch 30/1000, Cost: 10.4720\n", + " and the parameters are [-0.80516804 1.4636948 ] -1.43426534905528 ;\n", + "Epoch 30/1000, Cost: 11.5726\n", + " and the parameters are [-0.80529558 1.46370619] -1.434474692696048 ;\n", + "Epoch 30/1000, Cost: 9.5101\n", + " and the parameters are [-0.80541533 1.46379163] -1.4346480545523868 ;\n", + "Epoch 30/1000, Cost: 11.7822\n", + " and the parameters are [-0.80557858 1.4636771 ] -1.434965114534186 ;\n", + "Epoch 30/1000, Cost: 11.7845\n", + " and the parameters are [-0.80569146 1.46369708] -1.4351601364179427 ;\n", + "Epoch 30/1000, Cost: 9.4784\n", + " and the parameters are [-0.80582338 1.46385201] -1.4352885822141834 ;\n", + "Epoch 30/1000, Cost: 7.8752\n", + " and the parameters are [-0.80590719 1.46402842] -1.4353946300196592 ;\n", + "Epoch 30/1000, Cost: 10.4259\n", + " and the parameters are [-0.80610655 1.46408392] -1.4355566374613118 ;\n", + "Epoch 30/1000, Cost: 11.5346\n", + " and the parameters are [-0.80611446 1.46414241] -1.4357754709188681 ;\n", + "Epoch 30/1000, Cost: 11.3145\n", + " and the parameters are [-0.80619218 1.46413162] -1.4360353540263653 ;\n", + "Epoch 30/1000, Cost: 9.2875\n", + " and the parameters are [-0.80623648 1.46425323] -1.4361834548555545 ;\n", + "Epoch 30/1000, Cost: 9.6614\n", + " and the parameters are [-0.8062683 1.46445485] -1.4362897159508625 ;\n", + "Epoch 30/1000, Cost: 10.3491\n", + " and the parameters are [-0.80631144 1.46447489] -1.436570340300301 ;\n", + "Epoch 30/1000, Cost: 9.0398\n", + " and the parameters are [-0.80637566 1.46463843] -1.4366767954973456 ;\n", + "Epoch 30/1000, Cost: 7.2705\n", + " and the parameters are [-0.80640217 1.46494818] -1.4366939299020527 ;\n", + "Epoch 30/1000, Cost: 8.9682\n", + " and the parameters are [-0.80648538 1.46502035] -1.4369309705436524 ;\n", + "Epoch 30/1000, Cost: 6.3953\n", + " and the parameters are [-0.80641134 1.46531478] -1.4370022736926245 ;\n", + "Epoch 30/1000, Cost: 11.3252\n", + " and the parameters are [-0.80641941 1.46536911] -1.4372748608168484 ;\n", + "Epoch 30/1000, Cost: 12.0567\n", + " and the parameters are [-0.8065272 1.46549391] -1.4374413263867813 ;\n", + "Epoch 30/1000, Cost: 6.8964\n", + " and the parameters are [-0.8065438 1.46579784] -1.4374425817651981 ;\n", + "Epoch 30/1000, Cost: 8.1897\n", + " and the parameters are [-0.8065563 1.46595762] -1.4375797776724657 ;\n", + "Epoch 30/1000, Cost: 9.1565\n", + " and the parameters are [-0.8066319 1.46613625] -1.4377060187893949 ;\n", + "Epoch 30/1000, Cost: 10.1216\n", + " and the parameters are [-0.80672277 1.46627954] -1.4378226720364673 ;\n", + "Epoch 30/1000, Cost: 8.9211\n", + " and the parameters are [-0.8068682 1.46635411] -1.437937719868916 ;\n", + "Epoch 30/1000, Cost: 9.8621\n", + " and the parameters are [-0.8069521 1.46653149] -1.4380097091624582 ;\n", + "Epoch 30/1000, Cost: 10.0590\n", + " and the parameters are [-0.80708514 1.46660189] -1.4381719771492445 ;\n", + "Epoch 30/1000, Cost: 8.5683\n", + " and the parameters are [-0.80725236 1.46669476] -1.4382671444315145 ;\n", + "Epoch 30/1000, Cost: 11.2086\n", + " and the parameters are [-0.80727711 1.46670081] -1.4385333992167084 ;\n", + "Epoch 30/1000, Cost: 11.1786\n", + " and the parameters are [-0.8075329 1.4665996] -1.43880272163065 ;\n", + "Epoch 30/1000, Cost: 9.5002\n", + " and the parameters are [-0.80762635 1.46664982] -1.4389820309147532 ;\n", + "Epoch 30/1000, Cost: 10.2872\n", + " and the parameters are [-0.80775951 1.46673742] -1.4391416010943552 ;\n", + "Epoch 30/1000, Cost: 13.9956\n", + " and the parameters are [-0.8078764 1.46661118] -1.4394207479201087 ;\n", + "Epoch 30/1000, Cost: 11.2271\n", + " and the parameters are [-0.80795719 1.46660494] -1.4396899977666828 ;\n", + "Epoch 30/1000, Cost: 8.6351\n", + " and the parameters are [-0.80801493 1.4667629 ] -1.439825137951039 ;\n", + "Epoch 30/1000, Cost: 10.3666\n", + " and the parameters are [-0.80808428 1.46685666] -1.4399396876673127 ;\n", + "Epoch 30/1000, Cost: 12.5852\n", + " and the parameters are [-0.80808536 1.46700126] -1.4401023690608086 ;\n", + "Epoch 30/1000, Cost: 10.1786\n", + " and the parameters are [-0.80817904 1.46706716] -1.4402987177828477 ;\n", + "Epoch 30/1000, Cost: 10.7513\n", + " and the parameters are [-0.80832264 1.46711142] -1.4404775040790632 ;\n", + "Epoch 30/1000, Cost: 8.3217\n", + " and the parameters are [-0.80840993 1.46722966] -1.4406002659060189 ;\n", + "Epoch 30/1000, Cost: 12.6331\n", + " and the parameters are [-0.80836969 1.46719714] -1.4409476396846874 ;\n", + "Epoch 30/1000, Cost: 12.3996\n", + " and the parameters are [-0.80854027 1.46716283] -1.441148038295149 ;\n", + "Epoch 30/1000, Cost: 12.1021\n", + " and the parameters are [-0.80869435 1.46715918] -1.4413590048182021 ;\n", + "Epoch 30/1000, Cost: 8.7829\n", + " and the parameters are [-0.80890794 1.46725106] -1.4414691626846168 ;\n", + "Epoch 30/1000, Cost: 8.8264\n", + " and the parameters are [-0.80901169 1.46740527] -1.4415697718206386 ;\n", + "Epoch 30/1000, Cost: 12.6497\n", + " and the parameters are [-0.80916087 1.46734982] -1.441843566309584 ;\n", + "Epoch 30/1000, Cost: 12.4789\n", + " and the parameters are [-0.80946756 1.46727405] -1.442048309158937 ;\n", + "Epoch 30/1000, Cost: 11.8147\n", + " and the parameters are [-0.80953225 1.46730483] -1.442272128905457 ;\n", + "Epoch 30/1000, Cost: 10.3878\n", + " and the parameters are [-0.80966831 1.46732931] -1.4425078889674492 ;\n", + "Epoch 30/1000, Cost: 8.9532\n", + " and the parameters are [-0.80967871 1.46750158] -1.4426494752937653 ;\n", + "Epoch 30/1000, Cost: 10.4376\n", + " and the parameters are [-0.80961922 1.46769937] -1.4427627782011279 ;\n", + "Epoch 30/1000, Cost: 11.5885\n", + " and the parameters are [-0.8098145 1.46770644] -1.442920273069417 ;\n", + "Epoch 30/1000, Cost: 8.3857\n", + " and the parameters are [-0.80991249 1.46790778] -1.4430038402690157 ;\n", + "Epoch 30/1000, Cost: 8.7221\n", + " and the parameters are [-0.80993707 1.46803655] -1.4431371050821877 ;\n", + "Epoch 30/1000, Cost: 9.1153\n", + " and the parameters are [-0.8099846 1.46806903] -1.4433712824871598 ;\n", + "Epoch 30/1000, Cost: 11.1926\n", + " and the parameters are [-0.81017173 1.4680333 ] -1.4435639540927283 ;\n", + "Epoch 30/1000, Cost: 11.8227\n", + " and the parameters are [-0.81023224 1.46798294] -1.4437720167042316 ;\n", + "Epoch 30/1000, Cost: 9.8472\n", + " and the parameters are [-0.81037346 1.46813688] -1.4438757882678903 ;\n", + "Epoch 30/1000, Cost: 11.4702\n", + " and the parameters are [-0.81055221 1.46827263] -1.4439421628853275 ;\n", + "Epoch 30/1000, Cost: 12.7797\n", + " and the parameters are [-0.8107138 1.46822662] -1.4441567377626587 ;\n", + "Epoch 30/1000, Cost: 11.4125\n", + " and the parameters are [-0.81069645 1.46831196] -1.4444129029119088 ;\n", + "Epoch 30/1000, Cost: 9.6265\n", + " and the parameters are [-0.81081948 1.46834324] -1.4446089257375265 ;\n", + "Epoch 30/1000, Cost: 9.8021\n", + " and the parameters are [-0.81094048 1.46849906] -1.444701371459678 ;\n", + "Epoch 30/1000, Cost: 8.5524\n", + " and the parameters are [-0.81100485 1.46864201] -1.4448177814310077 ;\n", + "Epoch 30/1000, Cost: 10.3742\n", + " and the parameters are [-0.81117563 1.46863765] -1.4450207242092088 ;\n", + "Epoch 30/1000, Cost: 10.4086\n", + " and the parameters are [-0.81125253 1.46865314] -1.4453155180106825 ;\n", + "Epoch 30/1000, Cost: 9.4819\n", + " and the parameters are [-0.81133657 1.46872663] -1.4454974863617764 ;\n", + "Epoch 30/1000, Cost: 10.1917\n", + " and the parameters are [-0.81133156 1.46885839] -1.445648321665722 ;\n", + "Epoch 30/1000, Cost: 10.2671\n", + " and the parameters are [-0.81147874 1.46898828] -1.44575546833004 ;\n", + "Epoch 30/1000, Cost: 10.1597\n", + " and the parameters are [-0.81168628 1.46907755] -1.4458780399349187 ;\n", + "Epoch 30/1000, Cost: 10.5429\n", + " and the parameters are [-0.81187353 1.4691462 ] -1.446039014233766 ;\n", + "Epoch 30/1000, Cost: 8.3296\n", + " and the parameters are [-0.81197168 1.46925502] -1.4461749645152648 ;\n", + "Epoch 30/1000, Cost: 11.1362\n", + " and the parameters are [-0.8120737 1.46922109] -1.446415928791699 ;\n", + "Epoch 30/1000, Cost: 11.3856\n", + " and the parameters are [-0.81217461 1.4693288 ] -1.4465479088746303 ;\n", + "Epoch 30/1000, Cost: 9.7984\n", + " and the parameters are [-0.81232305 1.46947183] -1.4466407353695496 ;\n", + "Epoch 30/1000, Cost: 10.9994\n", + " and the parameters are [-0.81238226 1.46952795] -1.4468406629531054 ;\n", + "Epoch 30/1000, Cost: 10.3792\n", + " and the parameters are [-0.81244148 1.46961448] -1.4470283823356507 ;\n", + "Epoch 30/1000, Cost: 9.8146\n", + " and the parameters are [-0.81255853 1.46990442] -1.446986906171366 ;\n", + "Epoch 30/1000, Cost: 9.1441\n", + " and the parameters are [-0.81265018 1.47012857] -1.4470068232104076 ;\n", + "Epoch 30/1000, Cost: 9.4820\n", + " and the parameters are [-0.81264752 1.47038473] -1.4471193996956577 ;\n", + "Epoch 30/1000, Cost: 8.9361\n", + " and the parameters are [-0.81279361 1.47043437] -1.447301142654426 ;\n", + "Epoch 30/1000, Cost: 9.7248\n", + " and the parameters are [-0.81287344 1.47043329] -1.4475357706031147 ;\n", + "Epoch 30/1000, Cost: 6.6110\n", + " and the parameters are [-0.81283981 1.4707718 ] -1.4475481835705823 ;\n", + "Epoch 30/1000, Cost: 7.3748\n", + " and the parameters are [-0.81291939 1.47099129] -1.4475972155538528 ;\n", + "Epoch 30/1000, Cost: 8.1835\n", + " and the parameters are [-0.81286446 1.47123884] -1.4476996114887781 ;\n", + "Epoch 30/1000, Cost: 11.5287\n", + " and the parameters are [-0.81303512 1.47127181] -1.4478564409802068 ;\n", + "Epoch 30/1000, Cost: 14.0459\n", + " and the parameters are [-0.8131927 1.47120344] -1.4480727057651797 ;\n", + "Epoch 30/1000, Cost: 11.9759\n", + " and the parameters are [-0.81335139 1.47107172] -1.4483492227869756 ;\n", + "Epoch 30/1000, Cost: 8.9168\n", + " and the parameters are [-0.81344104 1.47134352] -1.4483476741812509 ;\n", + "Epoch 30/1000, Cost: 8.1929\n", + " and the parameters are [-0.81340078 1.47164025] -1.4484152303437348 ;\n", + "Epoch 30/1000, Cost: 10.0915\n", + " and the parameters are [-0.81334568 1.47177926] -1.4486218702210554 ;\n", + "Epoch 30/1000, Cost: 10.4610\n", + " and the parameters are [-0.81339857 1.47186244] -1.4487772859520662 ;\n", + "Epoch 30/1000, Cost: 9.3688\n", + " and the parameters are [-0.81345315 1.47202154] -1.4489205364334632 ;\n", + "Epoch 30/1000, Cost: 10.0863\n", + " and the parameters are [-0.81350322 1.47218494] -1.4490464403298227 ;\n", + "Epoch 30/1000, Cost: 9.6548\n", + " and the parameters are [-0.81349645 1.47230746] -1.4491954365864386 ;\n", + "Epoch 30/1000, Cost: 11.7632\n", + " and the parameters are [-0.81367599 1.47244708] -1.4492683185049346 ;\n", + "Epoch 30/1000, Cost: 10.5965\n", + " and the parameters are [-0.81378798 1.47264086] -1.44933903764409 ;\n", + "Epoch 30/1000, Cost: 8.2847\n", + " and the parameters are [-0.81387777 1.47284078] -1.44941888742895 ;\n", + "Epoch 30/1000, Cost: 8.9248\n", + " and the parameters are [-0.81397239 1.47298879] -1.4495281014313193 ;\n", + "Epoch 30/1000, Cost: 9.5734\n", + " and the parameters are [-0.81408365 1.47312915] -1.4496459808317237 ;\n", + "Epoch 30/1000, Cost: 10.2709\n", + " and the parameters are [-0.81417387 1.47323729] -1.4498155454306425 ;\n", + "Epoch 30/1000, Cost: 8.8240\n", + " and the parameters are [-0.81420423 1.4734863 ] -1.4498523883630134 ;\n", + "Epoch 30/1000, Cost: 10.2927\n", + " and the parameters are [-0.81430446 1.47359597] -1.4500049268584887 ;\n", + "Epoch 30/1000, Cost: 11.5550\n", + " and the parameters are [-0.81454212 1.47361992] -1.4501269703907476 ;\n", + "Epoch 30/1000, Cost: 12.0196\n", + " and the parameters are [-0.81472894 1.473624 ] -1.4503442730497786 ;\n", + "Epoch 30/1000, Cost: 9.3437\n", + " and the parameters are [-0.81470652 1.47377849] -1.4504925674761788 ;\n", + "Epoch 30/1000, Cost: 12.4074\n", + " and the parameters are [-0.81466231 1.47394472] -1.4506230408877054 ;\n", + "Epoch 30/1000, Cost: 8.9360\n", + " and the parameters are [-0.81476394 1.47417891] -1.4506544080325483 ;\n", + "Epoch 30/1000, Cost: 12.5292\n", + " and the parameters are [-0.81502986 1.47402685] -1.4509079784784347 ;\n", + "Epoch 30/1000, Cost: 10.8782\n", + " and the parameters are [-0.81505873 1.47417394] -1.45103323526085 ;\n", + "Epoch 30/1000, Cost: 9.7333\n", + " and the parameters are [-0.81518494 1.4742684 ] -1.4511754498919682 ;\n", + "Epoch 30/1000, Cost: 10.4302\n", + " and the parameters are [-0.81520248 1.47448091] -1.451271165576154 ;\n", + "Epoch 30/1000, Cost: 9.0136\n", + " and the parameters are [-0.81522236 1.47459878] -1.451472472215643 ;\n", + "Epoch 30/1000, Cost: 12.2606\n", + " and the parameters are [-0.81539773 1.47460264] -1.4516771123232282 ;\n", + "Epoch 30/1000, Cost: 12.0781\n", + " and the parameters are [-0.81552293 1.47461164] -1.451881122192001 ;\n", + "Epoch 30/1000, Cost: 11.3151\n", + " and the parameters are [-0.81559408 1.47464096] -1.45211115506023 ;\n", + "Epoch 30/1000, Cost: 9.9486\n", + " and the parameters are [-0.81568725 1.47480835] -1.4522540203057523 ;\n", + "Epoch 30/1000, Cost: 8.1971\n", + " and the parameters are [-0.81566546 1.47503222] -1.4523824409359707 ;\n", + "Epoch 30/1000, Cost: 8.3575\n", + " and the parameters are [-0.81577545 1.47526034] -1.4524000826799814 ;\n", + "Epoch 30/1000, Cost: 8.9236\n", + " and the parameters are [-0.81582281 1.47536538] -1.4525618872511337 ;\n", + "Epoch 30/1000, Cost: 9.5205\n", + " and the parameters are [-0.81587264 1.475548 ] -1.4526577919213417 ;\n", + "Epoch 30/1000, Cost: 9.2190\n", + " and the parameters are [-0.81610693 1.47572762] -1.452661454977282 ;\n", + "Epoch 30/1000, Cost: 8.7182\n", + " and the parameters are [-0.81621911 1.47580424] -1.4528324256762783 ;\n", + "Epoch 30/1000, Cost: 9.7567\n", + " and the parameters are [-0.81629122 1.47590852] -1.452997953529951 ;\n", + "Epoch 30/1000, Cost: 9.1935\n", + " and the parameters are [-0.81629217 1.47610245] -1.4531079698899383 ;\n", + "Epoch 30/1000, Cost: 12.0167\n", + " and the parameters are [-0.81657512 1.47598529] -1.4533560744497014 ;\n", + "Epoch 30/1000, Cost: 9.2476\n", + " and the parameters are [-0.81666965 1.4761378 ] -1.453490054852608 ;\n", + "Epoch 30/1000, Cost: 11.4513\n", + " and the parameters are [-0.81665412 1.47622966] -1.453678173370935 ;\n", + "Epoch 30/1000, Cost: 8.3547\n", + " and the parameters are [-0.81670289 1.47645926] -1.453748278437395 ;\n", + "Epoch 30/1000, Cost: 9.1184\n", + " and the parameters are [-0.81676729 1.47681952] -1.4537185708242413 ;\n", + "Epoch 30/1000, Cost: 10.7373\n", + " and the parameters are [-0.81687993 1.47686751] -1.453913627063908 ;\n", + "Epoch 30/1000, Cost: 11.5748\n", + " and the parameters are [-0.81700493 1.47693602] -1.4540396558923239 ;\n", + "Epoch 30/1000, Cost: 11.6233\n", + " and the parameters are [-0.81709454 1.47692661] -1.4542925326015061 ;\n", + "Epoch 30/1000, Cost: 10.7781\n", + " and the parameters are [-0.81717889 1.47700671] -1.4544975722544913 ;\n", + "Epoch 30/1000, Cost: 12.6675\n", + " and the parameters are [-0.81743075 1.47679679] -1.4548108573561314 ;\n", + "Epoch 30/1000, Cost: 9.2206\n", + " and the parameters are [-0.81751557 1.47696323] -1.454925328006444 ;\n", + "Epoch 30/1000, Cost: 11.2164\n", + " and the parameters are [-0.81754244 1.47702764] -1.4550827055504887 ;\n", + "Epoch 30/1000, Cost: 8.7759\n", + " and the parameters are [-0.81767246 1.47710425] -1.4552639759702553 ;\n", + "Epoch 30/1000, Cost: 10.1435\n", + " and the parameters are [-0.8178593 1.4771238] -1.4554322834798352 ;\n", + "Epoch 30/1000, Cost: 12.2684\n", + " and the parameters are [-0.81795938 1.47710939] -1.4556662274013945 ;\n", + "Epoch 30/1000, Cost: 10.8877\n", + " and the parameters are [-0.81812686 1.47702288] -1.4559459305643228 ;\n", + "Epoch 30/1000, Cost: 13.9377\n", + " and the parameters are [-0.81822328 1.47689863] -1.456244803796823 ;\n", + "Epoch 30/1000, Cost: 8.7874\n", + " and the parameters are [-0.81834145 1.47706088] -1.4563457305058367 ;\n", + "Epoch 30/1000, Cost: 9.0103\n", + " and the parameters are [-0.81843152 1.47721833] -1.4564504359627894 ;\n", + "Epoch 30/1000, Cost: 9.0936\n", + " and the parameters are [-0.81838435 1.47738991] -1.456611844819703 ;\n", + "Epoch 30/1000, Cost: 10.7691\n", + " and the parameters are [-0.81852704 1.47741595] -1.45679753098503 ;\n", + "Epoch 30/1000, Cost: 8.4333\n", + " and the parameters are [-0.81867528 1.47751701] -1.4569111466225346 ;\n", + "Epoch 30/1000, Cost: 11.1517\n", + " and the parameters are [-0.81877475 1.47753545] -1.4571364437113115 ;\n", + "Epoch 30/1000, Cost: 10.2711\n", + " and the parameters are [-0.81886677 1.47751302] -1.4573662464649872 ;\n", + "Epoch 30/1000, Cost: 8.0249\n", + " and the parameters are [-0.81892039 1.47786007] -1.457318748531291 ;\n", + "Epoch 30/1000, Cost: 11.0953\n", + " and the parameters are [-0.81897744 1.47786985] -1.4575527001343487 ;\n", + "Epoch 30/1000, Cost: 7.8851\n", + " and the parameters are [-0.81907975 1.47796928] -1.4577012900064266 ;\n", + "Epoch 30/1000, Cost: 11.5224\n", + " and the parameters are [-0.81904663 1.47799219] -1.4579682982387823 ;\n", + "Epoch 30/1000, Cost: 9.1945\n", + " and the parameters are [-0.81906843 1.4781525 ] -1.4581134045904964 ;\n", + "Epoch 30/1000, Cost: 9.5376\n", + " and the parameters are [-0.8191461 1.47832536] -1.4581939731990166 ;\n", + "Epoch 30/1000, Cost: 11.0440\n", + " and the parameters are [-0.81929994 1.47833945] -1.4583551366826224 ;\n", + "Epoch 30/1000, Cost: 10.1331\n", + " and the parameters are [-0.81940744 1.4783908 ] -1.4585457080881155 ;\n", + "Epoch 30/1000, Cost: 13.5128\n", + " and the parameters are [-0.81960148 1.47829545] -1.4587835112076295 ;\n", + "Epoch 30/1000, Cost: 15.8323\n", + " and the parameters are [-0.81980926 1.47800625] -1.459192991795348 ;\n", + "Epoch 30/1000, Cost: 9.5397\n", + " and the parameters are [-0.81983907 1.47830813] -1.4591869143069947 ;\n", + "Epoch 30/1000, Cost: 9.1377\n", + " and the parameters are [-0.81985065 1.47840158] -1.4593816959092574 ;\n", + "Epoch 30/1000, Cost: 8.3080\n", + " and the parameters are [-0.81996155 1.47856069] -1.4594756597629135 ;\n", + "Epoch 30/1000, Cost: 7.5377\n", + " and the parameters are [-0.81996563 1.47880166] -1.4595364890159377 ;\n", + "Epoch 30/1000, Cost: 7.8154\n", + " and the parameters are [-0.81995019 1.47904181] -1.4596510005817658 ;\n", + "Epoch 30/1000, Cost: 10.4553\n", + " and the parameters are [-0.82009135 1.47910776] -1.459793797132046 ;\n", + "Epoch 30/1000, Cost: 10.5048\n", + " and the parameters are [-0.82028028 1.47905642] -1.460036979485679 ;\n", + "Epoch 30/1000, Cost: 11.2227\n", + " and the parameters are [-0.8202799 1.4791428] -1.46024345025087 ;\n", + "Epoch 30/1000, Cost: 10.5449\n", + " and the parameters are [-0.82041934 1.47928246] -1.4603488820661847 ;\n", + "Epoch 40/1000, Cost: 7.5253\n", + " and the parameters are [-0.96583913 1.63508324] -1.7143428125989622 ;\n", + "Epoch 40/1000, Cost: 8.2088\n", + " and the parameters are [-0.96585167 1.635158 ] -1.7145381264374482 ;\n", + "Epoch 40/1000, Cost: 9.9046\n", + " and the parameters are [-0.96594426 1.63538056] -1.7145203367325619 ;\n", + "Epoch 40/1000, Cost: 9.0042\n", + " and the parameters are [-0.96608055 1.63540921] -1.714575276622504 ;\n", + "Epoch 40/1000, Cost: 10.0942\n", + " and the parameters are [-0.96625785 1.63540593] -1.7147419447265617 ;\n", + "Epoch 40/1000, Cost: 9.0415\n", + " and the parameters are [-0.96635844 1.63536286] -1.7149244033408606 ;\n", + "Epoch 40/1000, Cost: 7.6149\n", + " and the parameters are [-0.96652102 1.63543809] -1.7150319929741953 ;\n", + "Epoch 40/1000, Cost: 9.9439\n", + " and the parameters are [-0.96655606 1.63545404] -1.7152287447930707 ;\n", + "Epoch 40/1000, Cost: 8.4089\n", + " and the parameters are [-0.9666944 1.63554282] -1.7153161984972956 ;\n", + "Epoch 40/1000, Cost: 9.2151\n", + " and the parameters are [-0.96668539 1.63558794] -1.7155042265314748 ;\n", + "Epoch 40/1000, Cost: 5.9942\n", + " and the parameters are [-0.9666898 1.63585402] -1.715514344914715 ;\n", + "Epoch 40/1000, Cost: 9.2191\n", + " and the parameters are [-0.96681752 1.63592256] -1.7156121716775086 ;\n", + "Epoch 40/1000, Cost: 10.8837\n", + " and the parameters are [-0.96693186 1.63585185] -1.7157923243812685 ;\n", + "Epoch 40/1000, Cost: 6.6923\n", + " and the parameters are [-0.96693081 1.63613316] -1.7157937057435177 ;\n", + "Epoch 40/1000, Cost: 9.2594\n", + " and the parameters are [-0.96695949 1.63618215] -1.7160101644604937 ;\n", + "Epoch 40/1000, Cost: 8.1817\n", + " and the parameters are [-0.9670974 1.63613556] -1.7161939618500703 ;\n", + "Epoch 40/1000, Cost: 9.2027\n", + " and the parameters are [-0.96705921 1.63636333] -1.7162790608071856 ;\n", + "Epoch 40/1000, Cost: 10.4397\n", + " and the parameters are [-0.96721925 1.63639454] -1.7163991886342271 ;\n", + "Epoch 40/1000, Cost: 11.9163\n", + " and the parameters are [-0.96738773 1.6362897 ] -1.716614140594765 ;\n", + "Epoch 40/1000, Cost: 8.8084\n", + " and the parameters are [-0.96745625 1.63630924] -1.716807566992545 ;\n", + "Epoch 40/1000, Cost: 9.1085\n", + " and the parameters are [-0.96750613 1.63649405] -1.7168609923524998 ;\n", + "Epoch 40/1000, Cost: 9.4727\n", + " and the parameters are [-0.96757482 1.63664336] -1.7169218647404245 ;\n", + "Epoch 40/1000, Cost: 5.8741\n", + " and the parameters are [-0.9677091 1.63677834] -1.7169410347676999 ;\n", + "Epoch 40/1000, Cost: 8.6363\n", + " and the parameters are [-0.96794364 1.6366426 ] -1.717168629940622 ;\n", + "Epoch 40/1000, Cost: 8.2893\n", + " and the parameters are [-0.96801161 1.63669838] -1.7173066787919045 ;\n", + "Epoch 40/1000, Cost: 8.6460\n", + " and the parameters are [-0.96814988 1.63670329] -1.7174439015090008 ;\n", + "Epoch 40/1000, Cost: 9.3877\n", + " and the parameters are [-0.96822541 1.63672804] -1.717641205571682 ;\n", + "Epoch 40/1000, Cost: 9.0785\n", + " and the parameters are [-0.96824592 1.63684491] -1.7177726994561149 ;\n", + "Epoch 40/1000, Cost: 6.6939\n", + " and the parameters are [-0.96818951 1.63698034] -1.7179332889795589 ;\n", + "Epoch 40/1000, Cost: 8.7853\n", + " and the parameters are [-0.96827277 1.63693298] -1.7181804846918418 ;\n", + "Epoch 40/1000, Cost: 6.3207\n", + " and the parameters are [-0.96830128 1.63709604] -1.7182517554823025 ;\n", + "Epoch 40/1000, Cost: 8.9158\n", + " and the parameters are [-0.96846409 1.63708574] -1.7184318280095745 ;\n", + "Epoch 40/1000, Cost: 9.0702\n", + " and the parameters are [-0.96855786 1.6370835 ] -1.7186465684454648 ;\n", + "Epoch 40/1000, Cost: 10.4284\n", + " and the parameters are [-0.96868601 1.63723847] -1.7187094984032827 ;\n", + "Epoch 40/1000, Cost: 6.4207\n", + " and the parameters are [-0.96870988 1.63750083] -1.7187017569270895 ;\n", + "Epoch 40/1000, Cost: 8.2203\n", + " and the parameters are [-0.96871722 1.6377393 ] -1.7187343601715828 ;\n", + "Epoch 40/1000, Cost: 7.6893\n", + " and the parameters are [-0.96878415 1.63790134] -1.7188242054363994 ;\n", + "Epoch 40/1000, Cost: 9.8190\n", + " and the parameters are [-0.96887668 1.63806293] -1.7188850176128896 ;\n", + "Epoch 40/1000, Cost: 7.2566\n", + " and the parameters are [-0.96881713 1.63823332] -1.7190155387619093 ;\n", + "Epoch 40/1000, Cost: 6.5343\n", + " and the parameters are [-0.9688561 1.63834524] -1.719136843470234 ;\n", + "Epoch 40/1000, Cost: 9.6648\n", + " and the parameters are [-0.96894267 1.63836478] -1.7193132491060685 ;\n", + "Epoch 40/1000, Cost: 7.2146\n", + " and the parameters are [-0.9689777 1.63858052] -1.7193506954220763 ;\n", + "Epoch 40/1000, Cost: 6.2285\n", + " and the parameters are [-0.96895391 1.63878624] -1.719443432459862 ;\n", + "Epoch 40/1000, Cost: 9.2193\n", + " and the parameters are [-0.96909759 1.63882937] -1.7195791925390034 ;\n", + "Epoch 40/1000, Cost: 6.9976\n", + " and the parameters are [-0.96917093 1.63909032] -1.719557699882592 ;\n", + "Epoch 40/1000, Cost: 8.8678\n", + " and the parameters are [-0.96929891 1.63914271] -1.719652031047907 ;\n", + "Epoch 40/1000, Cost: 7.8383\n", + " and the parameters are [-0.96936387 1.63933026] -1.7197366830773007 ;\n", + "Epoch 40/1000, Cost: 11.0386\n", + " and the parameters are [-0.96944361 1.63924583] -1.719977655958454 ;\n", + "Epoch 40/1000, Cost: 8.3206\n", + " and the parameters are [-0.96944038 1.63936511] -1.7201191481965619 ;\n", + "Epoch 40/1000, Cost: 10.6731\n", + " and the parameters are [-0.96954544 1.63923562] -1.7203819893904366 ;\n", + "Epoch 40/1000, Cost: 10.2962\n", + " and the parameters are [-0.96949982 1.63926415] -1.7205829775397377 ;\n", + "Epoch 40/1000, Cost: 13.3373\n", + " and the parameters are [-0.96964039 1.63915097] -1.720757017061272 ;\n", + "Epoch 40/1000, Cost: 8.9119\n", + " and the parameters are [-0.96979963 1.63914835] -1.720907266108879 ;\n", + "Epoch 40/1000, Cost: 9.0449\n", + " and the parameters are [-0.96985847 1.63922921] -1.7210537702874187 ;\n", + "Epoch 40/1000, Cost: 9.3594\n", + " and the parameters are [-0.96991146 1.63921164] -1.7213043788902755 ;\n", + "Epoch 40/1000, Cost: 7.8717\n", + " and the parameters are [-0.97002448 1.63941719] -1.7213135837149316 ;\n", + "Epoch 40/1000, Cost: 8.1075\n", + " and the parameters are [-0.97012743 1.63943937] -1.7215046424426856 ;\n", + "Epoch 40/1000, Cost: 11.2306\n", + " and the parameters are [-0.97012384 1.63941343] -1.7217698413908311 ;\n", + "Epoch 40/1000, Cost: 7.7182\n", + " and the parameters are [-0.97012177 1.63953623] -1.7218996947717946 ;\n", + "Epoch 40/1000, Cost: 9.4917\n", + " and the parameters are [-0.97019166 1.63964094] -1.722011929220198 ;\n", + "Epoch 40/1000, Cost: 8.1659\n", + " and the parameters are [-0.97012659 1.63992547] -1.7220498643820903 ;\n", + "Epoch 40/1000, Cost: 9.8264\n", + " and the parameters are [-0.97022566 1.63998167] -1.7221528722914856 ;\n", + "Epoch 40/1000, Cost: 9.5222\n", + " and the parameters are [-0.97032794 1.64018205] -1.7221634908592114 ;\n", + "Epoch 40/1000, Cost: 8.7618\n", + " and the parameters are [-0.97041343 1.64029778] -1.722265561581133 ;\n", + "Epoch 40/1000, Cost: 7.8412\n", + " and the parameters are [-0.97045316 1.64049432] -1.7223301735067014 ;\n", + "Epoch 40/1000, Cost: 8.1708\n", + " and the parameters are [-0.97048206 1.64059434] -1.7224894683698235 ;\n", + "Epoch 40/1000, Cost: 11.5958\n", + " and the parameters are [-0.97058995 1.64055999] -1.722643824325904 ;\n", + "Epoch 40/1000, Cost: 11.0223\n", + " and the parameters are [-0.97053408 1.64050091] -1.7229233090053855 ;\n", + "Epoch 40/1000, Cost: 7.9085\n", + " and the parameters are [-0.97040182 1.64085317] -1.7229448060569679 ;\n", + "Epoch 40/1000, Cost: 8.3306\n", + " and the parameters are [-0.97042999 1.64112652] -1.7229413009757306 ;\n", + "Epoch 40/1000, Cost: 9.6122\n", + " and the parameters are [-0.97046859 1.64104872] -1.7231732897268253 ;\n", + "Epoch 40/1000, Cost: 9.3275\n", + " and the parameters are [-0.97040055 1.64129209] -1.7232547908033269 ;\n", + "Epoch 40/1000, Cost: 9.2983\n", + " and the parameters are [-0.9704666 1.64133319] -1.7234406407181062 ;\n", + "Epoch 40/1000, Cost: 8.3813\n", + " and the parameters are [-0.97069338 1.64136889] -1.7235219548379321 ;\n", + "Epoch 40/1000, Cost: 6.9945\n", + " and the parameters are [-0.9707809 1.6415652] -1.7235769022111453 ;\n", + "Epoch 40/1000, Cost: 7.6102\n", + " and the parameters are [-0.97073967 1.64171869] -1.7237129929116224 ;\n", + "Epoch 40/1000, Cost: 9.6900\n", + " and the parameters are [-0.97083483 1.64182196] -1.7238507621938892 ;\n", + "Epoch 40/1000, Cost: 7.2708\n", + " and the parameters are [-0.97096555 1.64195584] -1.7239025764524771 ;\n", + "Epoch 40/1000, Cost: 10.5774\n", + " and the parameters are [-0.97105815 1.64207479] -1.7239718197023965 ;\n", + "Epoch 40/1000, Cost: 11.1818\n", + " and the parameters are [-0.97104788 1.64206344] -1.7242094648693316 ;\n", + "Epoch 40/1000, Cost: 8.0624\n", + " and the parameters are [-0.97116884 1.64206929] -1.724361050155732 ;\n", + "Epoch 40/1000, Cost: 8.7325\n", + " and the parameters are [-0.97127658 1.64212436] -1.7244669588791508 ;\n", + "Epoch 40/1000, Cost: 9.0857\n", + " and the parameters are [-0.97136339 1.64204321] -1.7247277378438126 ;\n", + "Epoch 40/1000, Cost: 7.7929\n", + " and the parameters are [-0.97134503 1.64210266] -1.7249231129692415 ;\n", + "Epoch 40/1000, Cost: 9.1723\n", + " and the parameters are [-0.97149029 1.64201973] -1.7251426531549936 ;\n", + "Epoch 40/1000, Cost: 9.8354\n", + " and the parameters are [-0.97156443 1.64216654] -1.7252129765573647 ;\n", + "Epoch 40/1000, Cost: 8.0760\n", + " and the parameters are [-0.97161817 1.64231325] -1.725318493346354 ;\n", + "Epoch 40/1000, Cost: 10.1077\n", + " and the parameters are [-0.97177782 1.64235042] -1.7254540094930915 ;\n", + "Epoch 40/1000, Cost: 11.7465\n", + " and the parameters are [-0.97195392 1.6422722 ] -1.7256126106640428 ;\n", + "Epoch 40/1000, Cost: 7.5846\n", + " and the parameters are [-0.97199092 1.64239993] -1.7257132651256948 ;\n", + "Epoch 40/1000, Cost: 6.1370\n", + " and the parameters are [-0.97208264 1.64260526] -1.7257170936295163 ;\n", + "Epoch 40/1000, Cost: 7.0236\n", + " and the parameters are [-0.97211287 1.64280965] -1.7257643018397586 ;\n", + "Epoch 40/1000, Cost: 7.0469\n", + " and the parameters are [-0.97217075 1.64294172] -1.7258549594876682 ;\n", + "Epoch 40/1000, Cost: 7.7980\n", + " and the parameters are [-0.97228742 1.64307532] -1.7259203302472395 ;\n", + "Epoch 40/1000, Cost: 9.9063\n", + " and the parameters are [-0.97218671 1.64322693] -1.72607191064809 ;\n", + "Epoch 40/1000, Cost: 9.3237\n", + " and the parameters are [-0.97232465 1.64335273] -1.726158252341213 ;\n", + "Epoch 40/1000, Cost: 11.2663\n", + " and the parameters are [-0.97235776 1.64344046] -1.7262565500899139 ;\n", + "Epoch 40/1000, Cost: 8.9032\n", + " and the parameters are [-0.97241235 1.64350612] -1.7264212213343288 ;\n", + "Epoch 40/1000, Cost: 11.8035\n", + " and the parameters are [-0.97261182 1.6433964 ] -1.7266110990562267 ;\n", + "Epoch 40/1000, Cost: 7.4544\n", + " and the parameters are [-0.97269842 1.64360209] -1.7266335105265693 ;\n", + "Epoch 40/1000, Cost: 8.9331\n", + " and the parameters are [-0.97278381 1.64369638] -1.7267679345715001 ;\n", + "Epoch 40/1000, Cost: 8.2654\n", + " and the parameters are [-0.97283823 1.6437303 ] -1.7269596393210946 ;\n", + "Epoch 40/1000, Cost: 9.2740\n", + " and the parameters are [-0.97298025 1.64359591] -1.727203169629423 ;\n", + "Epoch 40/1000, Cost: 7.5901\n", + " and the parameters are [-0.97302973 1.64368796] -1.7273164171188684 ;\n", + "Epoch 40/1000, Cost: 9.7041\n", + " and the parameters are [-0.97305746 1.64387414] -1.7274157581552696 ;\n", + "Epoch 40/1000, Cost: 7.9679\n", + " and the parameters are [-0.97306554 1.64418072] -1.7273742973159185 ;\n", + "Epoch 40/1000, Cost: 7.8091\n", + " and the parameters are [-0.97304831 1.64431344] -1.727483932903559 ;\n", + "Epoch 40/1000, Cost: 5.9853\n", + " and the parameters are [-0.97308185 1.64457753] -1.7274779243110285 ;\n", + "Epoch 40/1000, Cost: 6.3212\n", + " and the parameters are [-0.9730005 1.64482543] -1.7275463094594026 ;\n", + "Epoch 40/1000, Cost: 8.0902\n", + " and the parameters are [-0.97294823 1.64497257] -1.7276833322755865 ;\n", + "Epoch 40/1000, Cost: 9.2226\n", + " and the parameters are [-0.97310395 1.64503449] -1.7277688546195538 ;\n", + "Epoch 40/1000, Cost: 9.3625\n", + " and the parameters are [-0.97329992 1.64501525] -1.7279437886880178 ;\n", + "Epoch 40/1000, Cost: 9.4870\n", + " and the parameters are [-0.97329882 1.64517996] -1.7280795040720256 ;\n", + "Epoch 40/1000, Cost: 9.1555\n", + " and the parameters are [-0.97332031 1.64526591] -1.728219511642971 ;\n", + "Epoch 40/1000, Cost: 7.5026\n", + " and the parameters are [-0.9733591 1.64542771] -1.7282958267202817 ;\n", + "Epoch 40/1000, Cost: 8.1091\n", + " and the parameters are [-0.97339429 1.64555731] -1.728430079257555 ;\n", + "Epoch 40/1000, Cost: 9.7234\n", + " and the parameters are [-0.97344658 1.64563366] -1.7285919248391584 ;\n", + "Epoch 40/1000, Cost: 8.3715\n", + " and the parameters are [-0.97348495 1.6456063 ] -1.728796336389164 ;\n", + "Epoch 40/1000, Cost: 7.3824\n", + " and the parameters are [-0.97357236 1.64579204] -1.7287877057742203 ;\n", + "Epoch 40/1000, Cost: 7.1871\n", + " and the parameters are [-0.97366578 1.64593692] -1.7288734312824743 ;\n", + "Epoch 40/1000, Cost: 7.4356\n", + " and the parameters are [-0.97370732 1.64605017] -1.7289696517956639 ;\n", + "Epoch 40/1000, Cost: 8.5862\n", + " and the parameters are [-0.97368276 1.64618841] -1.7290738346946013 ;\n", + "Epoch 40/1000, Cost: 8.6645\n", + " and the parameters are [-0.97372805 1.64625363] -1.7292278464617197 ;\n", + "Epoch 40/1000, Cost: 9.6424\n", + " and the parameters are [-0.97387763 1.64633463] -1.7293042046368843 ;\n", + "Epoch 40/1000, Cost: 9.2894\n", + " and the parameters are [-0.97400982 1.64636001] -1.729460792965706 ;\n", + "Epoch 40/1000, Cost: 7.9290\n", + " and the parameters are [-0.97409727 1.64644964] -1.7296096010510271 ;\n", + "Epoch 40/1000, Cost: 6.5038\n", + " and the parameters are [-0.97424668 1.64653972] -1.7296789879403083 ;\n", + "Epoch 40/1000, Cost: 9.9310\n", + " and the parameters are [-0.97447432 1.6465062 ] -1.7297846762214215 ;\n", + "Epoch 40/1000, Cost: 7.3956\n", + " and the parameters are [-0.97452416 1.64656875] -1.7299550095950746 ;\n", + "Epoch 40/1000, Cost: 8.9410\n", + " and the parameters are [-0.97463307 1.64660053] -1.7300820745242929 ;\n", + "Epoch 40/1000, Cost: 10.9646\n", + " and the parameters are [-0.97473036 1.64660719] -1.730250408229024 ;\n", + "Epoch 40/1000, Cost: 8.1520\n", + " and the parameters are [-0.97473418 1.64669136] -1.730408287654084 ;\n", + "Epoch 40/1000, Cost: 12.1972\n", + " and the parameters are [-0.97484179 1.64668125] -1.7306029592929 ;\n", + "Epoch 40/1000, Cost: 10.5264\n", + " and the parameters are [-0.97505933 1.64664909] -1.7307804227041792 ;\n", + "Epoch 40/1000, Cost: 12.1002\n", + " and the parameters are [-0.97525357 1.64655858] -1.7309433300091246 ;\n", + "Epoch 40/1000, Cost: 11.1217\n", + " and the parameters are [-0.9754406 1.64652957] -1.731095269643504 ;\n", + "Epoch 40/1000, Cost: 7.0428\n", + " and the parameters are [-0.97563447 1.64655209] -1.73122832880158 ;\n", + "Epoch 40/1000, Cost: 8.9236\n", + " and the parameters are [-0.97574014 1.64655666] -1.731399538492891 ;\n", + "Epoch 40/1000, Cost: 8.5137\n", + " and the parameters are [-0.97574369 1.64664344] -1.7315741047584658 ;\n", + "Epoch 40/1000, Cost: 8.5297\n", + " and the parameters are [-0.97588962 1.64654002] -1.731751212964691 ;\n", + "Epoch 40/1000, Cost: 7.5267\n", + " and the parameters are [-0.97594448 1.64668277] -1.7318564352839123 ;\n", + "Epoch 40/1000, Cost: 9.0927\n", + " and the parameters are [-0.97592715 1.646778 ] -1.7320419513901761 ;\n", + "Epoch 40/1000, Cost: 8.2404\n", + " and the parameters are [-0.97607977 1.64680167] -1.7321873732302264 ;\n", + "Epoch 40/1000, Cost: 7.0936\n", + " and the parameters are [-0.97618218 1.6470412 ] -1.7321724119672088 ;\n", + "Epoch 40/1000, Cost: 9.2259\n", + " and the parameters are [-0.97629003 1.6470476 ] -1.7323455681856628 ;\n", + "Epoch 40/1000, Cost: 7.5205\n", + " and the parameters are [-0.97635045 1.64714664] -1.7324554271559813 ;\n", + "Epoch 40/1000, Cost: 9.9744\n", + " and the parameters are [-0.97645434 1.64736898] -1.7324602113287613 ;\n", + "Epoch 40/1000, Cost: 7.9387\n", + " and the parameters are [-0.97651595 1.64752222] -1.7325635180515162 ;\n", + "Epoch 40/1000, Cost: 9.0239\n", + " and the parameters are [-0.97661313 1.64761313] -1.7326674189974798 ;\n", + "Epoch 40/1000, Cost: 7.9258\n", + " and the parameters are [-0.9766891 1.64780626] -1.7327227985634992 ;\n", + "Epoch 40/1000, Cost: 10.1455\n", + " and the parameters are [-0.97672412 1.64789565] -1.7328321650120655 ;\n", + "Epoch 40/1000, Cost: 8.7439\n", + " and the parameters are [-0.97686934 1.64807413] -1.732855016761346 ;\n", + "Epoch 40/1000, Cost: 10.7581\n", + " and the parameters are [-0.97703109 1.64796813] -1.7330969886304628 ;\n", + "Epoch 40/1000, Cost: 6.4973\n", + " and the parameters are [-0.97696998 1.64815789] -1.7332189729018 ;\n", + "Epoch 40/1000, Cost: 8.5097\n", + " and the parameters are [-0.97695117 1.64820051] -1.7334283146339449 ;\n", + "Epoch 40/1000, Cost: 8.6913\n", + " and the parameters are [-0.97700965 1.64824113] -1.7335937726680306 ;\n", + "Epoch 40/1000, Cost: 9.4096\n", + " and the parameters are [-0.97714197 1.64814134] -1.733828942461093 ;\n", + "Epoch 40/1000, Cost: 12.0833\n", + " and the parameters are [-0.97745279 1.6479158 ] -1.7340743484739287 ;\n", + "Epoch 40/1000, Cost: 8.9210\n", + " and the parameters are [-0.97751924 1.64789982] -1.734275870790989 ;\n", + "Epoch 40/1000, Cost: 9.0686\n", + " and the parameters are [-0.9775315 1.6480037] -1.734397099870568 ;\n", + "Epoch 40/1000, Cost: 10.6088\n", + " and the parameters are [-0.97760373 1.64805134] -1.7345296380553852 ;\n", + "Epoch 40/1000, Cost: 6.8946\n", + " and the parameters are [-0.97756365 1.64823734] -1.7346287532597005 ;\n", + "Epoch 40/1000, Cost: 7.1848\n", + " and the parameters are [-0.97762164 1.64834649] -1.734722812240956 ;\n", + "Epoch 40/1000, Cost: 9.2774\n", + " and the parameters are [-0.97772226 1.64838855] -1.7348791975349482 ;\n", + "Epoch 40/1000, Cost: 11.0661\n", + " and the parameters are [-0.97788734 1.6482964 ] -1.73508738878803 ;\n", + "Epoch 40/1000, Cost: 6.6881\n", + " and the parameters are [-0.97794132 1.64845216] -1.7352039271359128 ;\n", + "Epoch 40/1000, Cost: 5.9407\n", + " and the parameters are [-0.9780318 1.64864241] -1.7352364307999215 ;\n", + "Epoch 40/1000, Cost: 6.8431\n", + " and the parameters are [-0.97799208 1.64889966] -1.7352653782813472 ;\n", + "Epoch 40/1000, Cost: 7.5918\n", + " and the parameters are [-0.97807989 1.6490483 ] -1.7353208047609179 ;\n", + "Epoch 40/1000, Cost: 10.0482\n", + " and the parameters are [-0.97819227 1.64895679] -1.7355568275418483 ;\n", + "Epoch 40/1000, Cost: 8.2878\n", + " and the parameters are [-0.97834937 1.64910641] -1.735616031086664 ;\n", + "Epoch 40/1000, Cost: 9.3232\n", + " and the parameters are [-0.97848012 1.64914409] -1.73574930057345 ;\n", + "Epoch 40/1000, Cost: 11.4875\n", + " and the parameters are [-0.97868285 1.64892841] -1.736035584323498 ;\n", + "Epoch 40/1000, Cost: 10.5171\n", + " and the parameters are [-0.97874284 1.64901157] -1.7361267067566495 ;\n", + "Epoch 40/1000, Cost: 7.7832\n", + " and the parameters are [-0.97878357 1.64904681] -1.7363059323972143 ;\n", + "Epoch 40/1000, Cost: 8.1275\n", + " and the parameters are [-0.97885732 1.64919338] -1.7363924652922873 ;\n", + "Epoch 40/1000, Cost: 8.8411\n", + " and the parameters are [-0.97889261 1.64931505] -1.7365169723543799 ;\n", + "Epoch 40/1000, Cost: 10.3117\n", + " and the parameters are [-0.97900248 1.64922553] -1.7367239353636719 ;\n", + "Epoch 40/1000, Cost: 9.5798\n", + " and the parameters are [-0.97910521 1.6492049 ] -1.7369205010896338 ;\n", + "Epoch 40/1000, Cost: 7.5162\n", + " and the parameters are [-0.97909531 1.64928119] -1.7370684620812726 ;\n", + "Epoch 40/1000, Cost: 10.2284\n", + " and the parameters are [-0.97927748 1.64934041] -1.7371385857708908 ;\n", + "Epoch 40/1000, Cost: 9.6073\n", + " and the parameters are [-0.97937456 1.6493178 ] -1.7373251591905352 ;\n", + "Epoch 40/1000, Cost: 7.3504\n", + " and the parameters are [-0.97941303 1.64947131] -1.7374206225872824 ;\n", + "Epoch 40/1000, Cost: 6.9615\n", + " and the parameters are [-0.97943655 1.64959514] -1.7375471502361328 ;\n", + "Epoch 40/1000, Cost: 7.8200\n", + " and the parameters are [-0.97946873 1.64979672] -1.7375702399687376 ;\n", + "Epoch 40/1000, Cost: 10.5755\n", + " and the parameters are [-0.97963912 1.64978662] -1.7377112452444523 ;\n", + "Epoch 40/1000, Cost: 10.2343\n", + " and the parameters are [-0.97966027 1.64983915] -1.7378519969956734 ;\n", + "Epoch 40/1000, Cost: 9.2259\n", + " and the parameters are [-0.9798556 1.64980178] -1.7380193064015397 ;\n", + "Epoch 40/1000, Cost: 10.3726\n", + " and the parameters are [-0.9798667 1.64987913] -1.7381513165268707 ;\n", + "Epoch 40/1000, Cost: 10.3511\n", + " and the parameters are [-0.97990584 1.64986056] -1.7383459979587221 ;\n", + "Epoch 40/1000, Cost: 8.9315\n", + " and the parameters are [-0.97987947 1.64987307] -1.7385526553687347 ;\n", + "Epoch 40/1000, Cost: 8.9394\n", + " and the parameters are [-0.97994525 1.64993851] -1.7387123259019124 ;\n", + "Epoch 40/1000, Cost: 12.5916\n", + " and the parameters are [-0.98015849 1.64982916] -1.7388881036131512 ;\n", + "Epoch 40/1000, Cost: 9.1806\n", + " and the parameters are [-0.98014975 1.65002663] -1.7389705344708224 ;\n", + "Epoch 40/1000, Cost: 7.5071\n", + " and the parameters are [-0.98017799 1.65023431] -1.739012497411568 ;\n", + "Epoch 40/1000, Cost: 6.5341\n", + " and the parameters are [-0.98021314 1.65039538] -1.7390738539897908 ;\n", + "Epoch 40/1000, Cost: 6.9410\n", + " and the parameters are [-0.98015185 1.65049905] -1.739252695562444 ;\n", + "Epoch 40/1000, Cost: 10.1359\n", + " and the parameters are [-0.98017733 1.65045753] -1.7394996054619738 ;\n", + "Epoch 40/1000, Cost: 7.9435\n", + " and the parameters are [-0.9803461 1.65050814] -1.7395863095814748 ;\n", + "Epoch 40/1000, Cost: 9.9759\n", + " and the parameters are [-0.98039371 1.6505731 ] -1.739718353766412 ;\n", + "Epoch 50/1000, Cost: 8.3349\n", + " and the parameters are [-1.09987358 1.78166194] -1.9489107989452614 ;\n", + "Epoch 50/1000, Cost: 10.2433\n", + " and the parameters are [-1.09993432 1.78155706] -1.9490844290141454 ;\n", + "Epoch 50/1000, Cost: 7.2815\n", + " and the parameters are [-1.09998852 1.78166835] -1.9491650136254561 ;\n", + "Epoch 50/1000, Cost: 6.4349\n", + " and the parameters are [-1.09998054 1.78182372] -1.9492174429259408 ;\n", + "Epoch 50/1000, Cost: 6.8817\n", + " and the parameters are [-1.1001413 1.78185579] -1.9493033957561328 ;\n", + "Epoch 50/1000, Cost: 10.8105\n", + " and the parameters are [-1.10027578 1.78170358] -1.9495347309760593 ;\n", + "Epoch 50/1000, Cost: 9.0615\n", + " and the parameters are [-1.10027914 1.78176143] -1.9496826451000848 ;\n", + "Epoch 50/1000, Cost: 11.4410\n", + " and the parameters are [-1.10050909 1.78153097] -1.9499321207795048 ;\n", + "Epoch 50/1000, Cost: 6.3500\n", + " and the parameters are [-1.10057231 1.78171507] -1.9499503686935196 ;\n", + "Epoch 50/1000, Cost: 6.7958\n", + " and the parameters are [-1.10058312 1.7818073 ] -1.9500868174887616 ;\n", + "Epoch 50/1000, Cost: 10.0374\n", + " and the parameters are [-1.10058867 1.78178522] -1.9503030834559127 ;\n", + "Epoch 50/1000, Cost: 8.8697\n", + " and the parameters are [-1.10066573 1.78171564] -1.9505330736366553 ;\n", + "Epoch 50/1000, Cost: 7.4979\n", + " and the parameters are [-1.10085499 1.78172388] -1.9506238172592847 ;\n", + "Epoch 50/1000, Cost: 6.6230\n", + " and the parameters are [-1.1008755 1.78184411] -1.9507145713426457 ;\n", + "Epoch 50/1000, Cost: 8.1261\n", + " and the parameters are [-1.10099368 1.78185484] -1.9508498677177264 ;\n", + "Epoch 50/1000, Cost: 8.6115\n", + " and the parameters are [-1.10108878 1.78192835] -1.9509373048229872 ;\n", + "Epoch 50/1000, Cost: 6.5035\n", + " and the parameters are [-1.100997 1.78210041] -1.9510343220190105 ;\n", + "Epoch 50/1000, Cost: 5.3527\n", + " and the parameters are [-1.10105479 1.78227072] -1.9510443921219447 ;\n", + "Epoch 50/1000, Cost: 9.5830\n", + " and the parameters are [-1.10125325 1.78215555] -1.951214697993049 ;\n", + "Epoch 50/1000, Cost: 8.7679\n", + " and the parameters are [-1.10131092 1.78213541] -1.9513818361862805 ;\n", + "Epoch 50/1000, Cost: 7.1505\n", + " and the parameters are [-1.10146163 1.78217956] -1.951491793802593 ;\n", + "Epoch 50/1000, Cost: 6.9003\n", + " and the parameters are [-1.10145028 1.78242163] -1.9515124148282086 ;\n", + "Epoch 50/1000, Cost: 9.5190\n", + " and the parameters are [-1.10142075 1.7825089 ] -1.9516176309777236 ;\n", + "Epoch 50/1000, Cost: 6.6475\n", + " and the parameters are [-1.10141005 1.78278952] -1.9515823347660435 ;\n", + "Epoch 50/1000, Cost: 7.8767\n", + " and the parameters are [-1.10152915 1.78303719] -1.9515135677286186 ;\n", + "Epoch 50/1000, Cost: 6.9366\n", + " and the parameters are [-1.10158763 1.7831097 ] -1.9515992426325461 ;\n", + "Epoch 50/1000, Cost: 9.8375\n", + " and the parameters are [-1.10174886 1.78313827] -1.9516599731319815 ;\n", + "Epoch 50/1000, Cost: 7.9464\n", + " and the parameters are [-1.10190318 1.78319002] -1.951710094899763 ;\n", + "Epoch 50/1000, Cost: 6.3791\n", + " and the parameters are [-1.1019256 1.78321771] -1.9519024920957482 ;\n", + "Epoch 50/1000, Cost: 6.2878\n", + " and the parameters are [-1.10191289 1.78338352] -1.9519782650147814 ;\n", + "Epoch 50/1000, Cost: 7.0652\n", + " and the parameters are [-1.10193258 1.78352524] -1.952058480017407 ;\n", + "Epoch 50/1000, Cost: 6.8779\n", + " and the parameters are [-1.10201381 1.7835483 ] -1.9521909692942192 ;\n", + "Epoch 50/1000, Cost: 6.4921\n", + " and the parameters are [-1.10203511 1.78365749] -1.9522968362701563 ;\n", + "Epoch 50/1000, Cost: 10.7845\n", + " and the parameters are [-1.10214809 1.78373742] -1.95234315312677 ;\n", + "Epoch 50/1000, Cost: 5.3029\n", + " and the parameters are [-1.10217128 1.78380821] -1.9524668657445698 ;\n", + "Epoch 50/1000, Cost: 9.1289\n", + " and the parameters are [-1.10221436 1.78380353] -1.9526651945015796 ;\n", + "Epoch 50/1000, Cost: 5.7245\n", + " and the parameters are [-1.1022154 1.78399517] -1.95270396096308 ;\n", + "Epoch 50/1000, Cost: 9.0206\n", + " and the parameters are [-1.10222031 1.784092 ] -1.9528224996986359 ;\n", + "Epoch 50/1000, Cost: 7.9572\n", + " and the parameters are [-1.10233341 1.78419344] -1.9528823489752336 ;\n", + "Epoch 50/1000, Cost: 10.7718\n", + " and the parameters are [-1.10246426 1.78410604] -1.953046928155791 ;\n", + "Epoch 50/1000, Cost: 8.4868\n", + " and the parameters are [-1.10253567 1.78407122] -1.9532261433136346 ;\n", + "Epoch 50/1000, Cost: 9.4230\n", + " and the parameters are [-1.10261226 1.78406263] -1.9534169558224417 ;\n", + "Epoch 50/1000, Cost: 7.0503\n", + " and the parameters are [-1.10270576 1.78412761] -1.9535170679343565 ;\n", + "Epoch 50/1000, Cost: 7.3295\n", + " and the parameters are [-1.10271172 1.78416669] -1.9536655575392299 ;\n", + "Epoch 50/1000, Cost: 4.4599\n", + " and the parameters are [-1.10266472 1.78440962] -1.9536842753578523 ;\n", + "Epoch 50/1000, Cost: 5.7232\n", + " and the parameters are [-1.10276864 1.7845368 ] -1.953699571717264 ;\n", + "Epoch 50/1000, Cost: 5.7021\n", + " and the parameters are [-1.10276733 1.78478289] -1.953717049677812 ;\n", + "Epoch 50/1000, Cost: 6.0719\n", + " and the parameters are [-1.10280248 1.78500122] -1.9537376279961773 ;\n", + "Epoch 50/1000, Cost: 9.3608\n", + " and the parameters are [-1.10291852 1.78497748] -1.9538981358326901 ;\n", + "Epoch 50/1000, Cost: 8.0518\n", + " and the parameters are [-1.1029744 1.78503159] -1.9540454032559598 ;\n", + "Epoch 50/1000, Cost: 8.6177\n", + " and the parameters are [-1.10297925 1.78525652] -1.954019122630149 ;\n", + "Epoch 50/1000, Cost: 8.2235\n", + " and the parameters are [-1.10315004 1.78512734] -1.954217088682294 ;\n", + "Epoch 50/1000, Cost: 8.8339\n", + " and the parameters are [-1.10318983 1.78512182] -1.9543920135671156 ;\n", + "Epoch 50/1000, Cost: 9.6045\n", + " and the parameters are [-1.10337084 1.78509781] -1.9545239901600786 ;\n", + "Epoch 50/1000, Cost: 6.7127\n", + " and the parameters are [-1.10340584 1.78518218] -1.9546242469786916 ;\n", + "Epoch 50/1000, Cost: 10.7035\n", + " and the parameters are [-1.10360805 1.78513264] -1.954744116816802 ;\n", + "Epoch 50/1000, Cost: 7.4597\n", + " and the parameters are [-1.1037271 1.78513215] -1.9548927410230392 ;\n", + "Epoch 50/1000, Cost: 8.3251\n", + " and the parameters are [-1.10376919 1.78517791] -1.955040308903609 ;\n", + "Epoch 50/1000, Cost: 10.2795\n", + " and the parameters are [-1.10381241 1.78518042] -1.955201971678232 ;\n", + "Epoch 50/1000, Cost: 6.1433\n", + " and the parameters are [-1.10378982 1.78531562] -1.9552990698089283 ;\n", + "Epoch 50/1000, Cost: 7.8377\n", + " and the parameters are [-1.10379453 1.78536562] -1.9554449287972628 ;\n", + "Epoch 50/1000, Cost: 7.2220\n", + " and the parameters are [-1.10375693 1.78560425] -1.9554674624300343 ;\n", + "Epoch 50/1000, Cost: 6.8890\n", + " and the parameters are [-1.10390133 1.7857275 ] -1.9555137415029726 ;\n", + "Epoch 50/1000, Cost: 7.5193\n", + " and the parameters are [-1.10387721 1.78591459] -1.9555711955106294 ;\n", + "Epoch 50/1000, Cost: 7.2857\n", + " and the parameters are [-1.10396734 1.78591528] -1.9556700339228086 ;\n", + "Epoch 50/1000, Cost: 5.8503\n", + " and the parameters are [-1.10403642 1.78590732] -1.9558123939365193 ;\n", + "Epoch 50/1000, Cost: 8.7431\n", + " and the parameters are [-1.10411872 1.78595425] -1.9558896770745786 ;\n", + "Epoch 50/1000, Cost: 7.6823\n", + " and the parameters are [-1.10429833 1.78601776] -1.9559190378045732 ;\n", + "Epoch 50/1000, Cost: 8.1900\n", + " and the parameters are [-1.10432592 1.78606602] -1.9560819372310518 ;\n", + "Epoch 50/1000, Cost: 9.2704\n", + " and the parameters are [-1.10439225 1.78614568] -1.9561632631695998 ;\n", + "Epoch 50/1000, Cost: 6.2845\n", + " and the parameters are [-1.10439823 1.78624055] -1.9562708103056754 ;\n", + "Epoch 50/1000, Cost: 7.2819\n", + " and the parameters are [-1.1044184 1.78631722] -1.9564087007726445 ;\n", + "Epoch 50/1000, Cost: 8.1879\n", + " and the parameters are [-1.10444585 1.78643334] -1.9565429384787913 ;\n", + "Epoch 50/1000, Cost: 6.4859\n", + " and the parameters are [-1.10450053 1.78660252] -1.956575398646312 ;\n", + "Epoch 50/1000, Cost: 6.8083\n", + " and the parameters are [-1.10454254 1.78670452] -1.9566829282452276 ;\n", + "Epoch 50/1000, Cost: 8.6089\n", + " and the parameters are [-1.10467212 1.78675167] -1.9568001342956591 ;\n", + "Epoch 50/1000, Cost: 9.5548\n", + " and the parameters are [-1.10485545 1.7865426 ] -1.9570391195085202 ;\n", + "Epoch 50/1000, Cost: 7.8523\n", + " and the parameters are [-1.10487068 1.78649071] -1.9572866435579919 ;\n", + "Epoch 50/1000, Cost: 8.0619\n", + " and the parameters are [-1.10483483 1.78666259] -1.9573688576431305 ;\n", + "Epoch 50/1000, Cost: 7.4592\n", + " and the parameters are [-1.10486574 1.78680013] -1.9574406072661985 ;\n", + "Epoch 50/1000, Cost: 7.3724\n", + " and the parameters are [-1.1049132 1.78693355] -1.9574191690551748 ;\n", + "Epoch 50/1000, Cost: 7.5185\n", + " and the parameters are [-1.1050774 1.78701442] -1.9574676073491353 ;\n", + "Epoch 50/1000, Cost: 4.4136\n", + " and the parameters are [-1.10506765 1.78718025] -1.957522162363649 ;\n", + "Epoch 50/1000, Cost: 8.0035\n", + " and the parameters are [-1.10508317 1.78722771] -1.9576940406394248 ;\n", + "Epoch 50/1000, Cost: 7.8705\n", + " and the parameters are [-1.10524567 1.78723334] -1.9578014939446056 ;\n", + "Epoch 50/1000, Cost: 6.8029\n", + " and the parameters are [-1.10525192 1.78734934] -1.9579084599682206 ;\n", + "Epoch 50/1000, Cost: 8.0179\n", + " and the parameters are [-1.10531652 1.78755798] -1.9578861483120287 ;\n", + "Epoch 50/1000, Cost: 7.2228\n", + " and the parameters are [-1.10542093 1.78757856] -1.9579949588140426 ;\n", + "Epoch 50/1000, Cost: 5.1188\n", + " and the parameters are [-1.10538952 1.7877867 ] -1.958023906908747 ;\n", + "Epoch 50/1000, Cost: 10.1871\n", + " and the parameters are [-1.10551978 1.78786096] -1.9580802830192015 ;\n", + "Epoch 50/1000, Cost: 5.9816\n", + " and the parameters are [-1.10551038 1.78807634] -1.9581041474408545 ;\n", + "Epoch 50/1000, Cost: 9.0915\n", + " and the parameters are [-1.10561899 1.78807043] -1.9582802492648426 ;\n", + "Epoch 50/1000, Cost: 7.3309\n", + " and the parameters are [-1.10568923 1.78820386] -1.9583033673406154 ;\n", + "Epoch 50/1000, Cost: 11.0969\n", + " and the parameters are [-1.10593417 1.78809326] -1.9584651253522187 ;\n", + "Epoch 50/1000, Cost: 7.1537\n", + " and the parameters are [-1.10599084 1.78830888] -1.9584676233450005 ;\n", + "Epoch 50/1000, Cost: 8.3593\n", + " and the parameters are [-1.10607261 1.78835279] -1.9585983813116206 ;\n", + "Epoch 50/1000, Cost: 7.0931\n", + " and the parameters are [-1.10613858 1.78837835] -1.9587456193403727 ;\n", + "Epoch 50/1000, Cost: 8.8263\n", + " and the parameters are [-1.10612786 1.78851903] -1.9588135632871664 ;\n", + "Epoch 50/1000, Cost: 6.1255\n", + " and the parameters are [-1.10620614 1.78864377] -1.9588665557802392 ;\n", + "Epoch 50/1000, Cost: 6.5021\n", + " and the parameters are [-1.10621691 1.78873639] -1.9589883277425642 ;\n", + "Epoch 50/1000, Cost: 6.8804\n", + " and the parameters are [-1.10630801 1.78877952] -1.9591127082264153 ;\n", + "Epoch 50/1000, Cost: 12.8941\n", + " and the parameters are [-1.10635014 1.78862806] -1.9594043838544497 ;\n", + "Epoch 50/1000, Cost: 8.0494\n", + " and the parameters are [-1.10647112 1.78856844] -1.9595658944476688 ;\n", + "Epoch 50/1000, Cost: 8.3586\n", + " and the parameters are [-1.1065269 1.78858693] -1.959729829345452 ;\n", + "Epoch 50/1000, Cost: 8.2168\n", + " and the parameters are [-1.10673569 1.78849303] -1.959850488560084 ;\n", + "Epoch 50/1000, Cost: 7.8502\n", + " and the parameters are [-1.10684567 1.78854356] -1.9599481975415962 ;\n", + "Epoch 50/1000, Cost: 6.5748\n", + " and the parameters are [-1.10687014 1.7886984 ] -1.9600244023588447 ;\n", + "Epoch 50/1000, Cost: 8.3927\n", + " and the parameters are [-1.10697939 1.7888209 ] -1.9600616984987271 ;\n", + "Epoch 50/1000, Cost: 8.2070\n", + " and the parameters are [-1.10702981 1.78890582] -1.96014578601519 ;\n", + "Epoch 50/1000, Cost: 9.4343\n", + " and the parameters are [-1.10707242 1.78892257] -1.9602821907962114 ;\n", + "Epoch 50/1000, Cost: 10.0201\n", + " and the parameters are [-1.10723102 1.78892691] -1.9603526056071794 ;\n", + "Epoch 50/1000, Cost: 7.4803\n", + " and the parameters are [-1.1072978 1.788958 ] -1.9604649748902816 ;\n", + "Epoch 50/1000, Cost: 6.8205\n", + " and the parameters are [-1.1073631 1.78907117] -1.960528368141183 ;\n", + "Epoch 50/1000, Cost: 8.6450\n", + " and the parameters are [-1.10747583 1.78917668] -1.9605934514752654 ;\n", + "Epoch 50/1000, Cost: 6.0151\n", + " and the parameters are [-1.10753914 1.78927267] -1.9606851763788262 ;\n", + "Epoch 50/1000, Cost: 6.5231\n", + " and the parameters are [-1.10754072 1.78936471] -1.9608065218248587 ;\n", + "Epoch 50/1000, Cost: 8.8384\n", + " and the parameters are [-1.1075834 1.78934538] -1.961017536655416 ;\n", + "Epoch 50/1000, Cost: 7.7545\n", + " and the parameters are [-1.10752024 1.78945871] -1.9611684106678038 ;\n", + "Epoch 50/1000, Cost: 7.2886\n", + " and the parameters are [-1.10759514 1.78945343] -1.9613448856338038 ;\n", + "Epoch 50/1000, Cost: 7.9209\n", + " and the parameters are [-1.10767402 1.78961707] -1.9613537866458768 ;\n", + "Epoch 50/1000, Cost: 9.5246\n", + " and the parameters are [-1.1078177 1.78959883] -1.9614445109860754 ;\n", + "Epoch 50/1000, Cost: 10.9184\n", + " and the parameters are [-1.10798351 1.78948914] -1.9616502727344107 ;\n", + "Epoch 50/1000, Cost: 7.5029\n", + " and the parameters are [-1.10801649 1.78955812] -1.9617863639828768 ;\n", + "Epoch 50/1000, Cost: 8.6601\n", + " and the parameters are [-1.1080937 1.78967663] -1.9618782314428902 ;\n", + "Epoch 50/1000, Cost: 8.2099\n", + " and the parameters are [-1.10814166 1.78964227] -1.9620689975395673 ;\n", + "Epoch 50/1000, Cost: 8.9875\n", + " and the parameters are [-1.10806055 1.78979771] -1.962163100687515 ;\n", + "Epoch 50/1000, Cost: 9.0667\n", + " and the parameters are [-1.10819685 1.78963923] -1.9623847374434111 ;\n", + "Epoch 50/1000, Cost: 8.0780\n", + " and the parameters are [-1.10829304 1.7896879 ] -1.9624943281259752 ;\n", + "Epoch 50/1000, Cost: 7.1472\n", + " and the parameters are [-1.10825471 1.7898623 ] -1.9625809391698354 ;\n", + "Epoch 50/1000, Cost: 9.2239\n", + " and the parameters are [-1.10838446 1.78978271] -1.9627773835354347 ;\n", + "Epoch 50/1000, Cost: 8.6858\n", + " and the parameters are [-1.10853847 1.78975297] -1.962900374507179 ;\n", + "Epoch 50/1000, Cost: 5.9065\n", + " and the parameters are [-1.10852444 1.78996193] -1.9629069127774592 ;\n", + "Epoch 50/1000, Cost: 7.7402\n", + " and the parameters are [-1.10861097 1.79002476] -1.9630293090090731 ;\n", + "Epoch 50/1000, Cost: 5.8719\n", + " and the parameters are [-1.10866324 1.79011188] -1.9631238795377564 ;\n", + "Epoch 50/1000, Cost: 6.9633\n", + " and the parameters are [-1.10870699 1.79014564] -1.9631980569962366 ;\n", + "Epoch 50/1000, Cost: 7.9362\n", + " and the parameters are [-1.10876837 1.79031029] -1.96324754078699 ;\n", + "Epoch 50/1000, Cost: 8.9226\n", + " and the parameters are [-1.10880412 1.79051555] -1.9632328294233183 ;\n", + "Epoch 50/1000, Cost: 9.7546\n", + " and the parameters are [-1.10880241 1.79058022] -1.9633972181913462 ;\n", + "Epoch 50/1000, Cost: 9.1621\n", + " and the parameters are [-1.10874808 1.79075832] -1.9634701230741436 ;\n", + "Epoch 50/1000, Cost: 5.9554\n", + " and the parameters are [-1.10871424 1.7910038 ] -1.9634948000511545 ;\n", + "Epoch 50/1000, Cost: 8.0279\n", + " and the parameters are [-1.10888957 1.79092277] -1.963661734541925 ;\n", + "Epoch 50/1000, Cost: 8.4496\n", + " and the parameters are [-1.10901869 1.790981 ] -1.9637228769313915 ;\n", + "Epoch 50/1000, Cost: 7.5076\n", + " and the parameters are [-1.10894842 1.79112182] -1.9638500753866894 ;\n", + "Epoch 50/1000, Cost: 7.3128\n", + " and the parameters are [-1.10897708 1.7913518 ] -1.963875106343691 ;\n", + "Epoch 50/1000, Cost: 5.9082\n", + " and the parameters are [-1.10892261 1.79149532] -1.96398831948661 ;\n", + "Epoch 50/1000, Cost: 9.4937\n", + " and the parameters are [-1.10907435 1.7915297 ] -1.9640482201970069 ;\n", + "Epoch 50/1000, Cost: 8.6945\n", + " and the parameters are [-1.10913801 1.79154807] -1.9642153759535343 ;\n", + "Epoch 50/1000, Cost: 7.4462\n", + " and the parameters are [-1.10921662 1.79169526] -1.9642716056129927 ;\n", + "Epoch 50/1000, Cost: 8.4771\n", + " and the parameters are [-1.10929086 1.79170153] -1.9644261041218267 ;\n", + "Epoch 50/1000, Cost: 7.6822\n", + " and the parameters are [-1.10931752 1.79171363] -1.9646011713962976 ;\n", + "Epoch 50/1000, Cost: 6.1119\n", + " and the parameters are [-1.10927556 1.79182834] -1.9647444977795714 ;\n", + "Epoch 50/1000, Cost: 8.7982\n", + " and the parameters are [-1.1093671 1.79180942] -1.9648973420259355 ;\n", + "Epoch 50/1000, Cost: 10.2611\n", + " and the parameters are [-1.10940231 1.791815 ] -1.965060750850846 ;\n", + "Epoch 50/1000, Cost: 7.9687\n", + " and the parameters are [-1.1094567 1.79187442] -1.965182025354152 ;\n", + "Epoch 50/1000, Cost: 8.0270\n", + " and the parameters are [-1.10954006 1.79194951] -1.9652777205553422 ;\n", + "Epoch 50/1000, Cost: 11.4077\n", + " and the parameters are [-1.10953143 1.79190522] -1.9654933268293935 ;\n", + "Epoch 50/1000, Cost: 8.7313\n", + " and the parameters are [-1.10952177 1.79181614] -1.9657371805241597 ;\n", + "Epoch 50/1000, Cost: 8.2737\n", + " and the parameters are [-1.10954427 1.79181757] -1.9659658266025506 ;\n", + "Epoch 50/1000, Cost: 6.5049\n", + " and the parameters are [-1.10960279 1.79186347] -1.966090900183973 ;\n", + "Epoch 50/1000, Cost: 6.0597\n", + " and the parameters are [-1.10966627 1.79202831] -1.9661153367543174 ;\n", + "Epoch 50/1000, Cost: 6.0170\n", + " and the parameters are [-1.10971481 1.79210268] -1.9661954733831022 ;\n", + "Epoch 50/1000, Cost: 6.5293\n", + " and the parameters are [-1.10971203 1.79227622] -1.9662753105868191 ;\n", + "Epoch 50/1000, Cost: 7.7794\n", + " and the parameters are [-1.10982204 1.79233173] -1.9663440543905788 ;\n", + "Epoch 50/1000, Cost: 9.7874\n", + " and the parameters are [-1.10995945 1.79222193] -1.9665140730256565 ;\n", + "Epoch 50/1000, Cost: 10.1776\n", + " and the parameters are [-1.11002185 1.79223854] -1.9666154275190153 ;\n", + "Epoch 50/1000, Cost: 8.7606\n", + " and the parameters are [-1.1100755 1.79223009] -1.9667618519040428 ;\n", + "Epoch 50/1000, Cost: 7.8307\n", + " and the parameters are [-1.11008102 1.79242635] -1.9667759295847003 ;\n", + "Epoch 50/1000, Cost: 8.5208\n", + " and the parameters are [-1.11025147 1.79233544] -1.9669705112263298 ;\n", + "Epoch 50/1000, Cost: 7.5414\n", + " and the parameters are [-1.11041782 1.79221921] -1.9671580082724065 ;\n", + "Epoch 50/1000, Cost: 8.9990\n", + " and the parameters are [-1.11034436 1.79233981] -1.9672501843397918 ;\n", + "Epoch 50/1000, Cost: 6.3267\n", + " and the parameters are [-1.11043536 1.79241285] -1.9673411681242607 ;\n", + "Epoch 50/1000, Cost: 6.3658\n", + " and the parameters are [-1.11051199 1.7925459 ] -1.9674121195221161 ;\n", + "Epoch 50/1000, Cost: 7.6809\n", + " and the parameters are [-1.11062455 1.79269379] -1.9674175186323595 ;\n", + "Epoch 50/1000, Cost: 6.5241\n", + " and the parameters are [-1.1106638 1.79294181] -1.967400076845012 ;\n", + "Epoch 50/1000, Cost: 8.2007\n", + " and the parameters are [-1.11081268 1.79287186] -1.9675844539456304 ;\n", + "Epoch 50/1000, Cost: 8.1283\n", + " and the parameters are [-1.11091709 1.79286346] -1.9677508113692095 ;\n", + "Epoch 50/1000, Cost: 9.1573\n", + " and the parameters are [-1.11103596 1.79289425] -1.9678542934963938 ;\n", + "Epoch 50/1000, Cost: 7.7786\n", + " and the parameters are [-1.11088188 1.79303971] -1.9679792100141944 ;\n", + "Epoch 50/1000, Cost: 6.4660\n", + " and the parameters are [-1.11088844 1.79316083] -1.9680598545852532 ;\n", + "Epoch 50/1000, Cost: 8.8708\n", + " and the parameters are [-1.11097727 1.79322288] -1.968184836441909 ;\n", + "Epoch 50/1000, Cost: 7.3893\n", + " and the parameters are [-1.11101197 1.7934275 ] -1.968222750849966 ;\n", + "Epoch 50/1000, Cost: 8.9442\n", + " and the parameters are [-1.11101231 1.79343102] -1.9684600926025133 ;\n", + "Epoch 50/1000, Cost: 7.8671\n", + " and the parameters are [-1.11104944 1.79359455] -1.9684864003816698 ;\n", + "Epoch 50/1000, Cost: 7.3355\n", + " and the parameters are [-1.1110847 1.79374322] -1.968549721413113 ;\n", + "Epoch 50/1000, Cost: 11.2563\n", + " and the parameters are [-1.11113561 1.79357687] -1.9688668086792713 ;\n", + "Epoch 50/1000, Cost: 6.4630\n", + " and the parameters are [-1.11113741 1.79371708] -1.968940043955749 ;\n", + "Epoch 50/1000, Cost: 6.9688\n", + " and the parameters are [-1.11126045 1.79395519] -1.9688929042551986 ;\n", + "Epoch 50/1000, Cost: 8.3112\n", + " and the parameters are [-1.11135689 1.79385721] -1.9691332966744388 ;\n", + "Epoch 50/1000, Cost: 6.8866\n", + " and the parameters are [-1.1113956 1.79402779] -1.969180659766912 ;\n", + "Epoch 50/1000, Cost: 4.7668\n", + " and the parameters are [-1.1114555 1.79421296] -1.969202235567627 ;\n", + "Epoch 50/1000, Cost: 8.0606\n", + " and the parameters are [-1.11155638 1.79435444] -1.969216085583966 ;\n", + "Epoch 50/1000, Cost: 7.3414\n", + " and the parameters are [-1.11166865 1.79435526] -1.969343559995051 ;\n", + "Epoch 50/1000, Cost: 6.9834\n", + " and the parameters are [-1.1115717 1.79461086] -1.9693929264629664 ;\n", + "Epoch 50/1000, Cost: 7.8350\n", + " and the parameters are [-1.11161482 1.79486726] -1.9693592726653248 ;\n", + "Epoch 50/1000, Cost: 10.8321\n", + " and the parameters are [-1.111772 1.79473147] -1.9695524455179811 ;\n", + "Epoch 50/1000, Cost: 7.6378\n", + " and the parameters are [-1.1117556 1.79481795] -1.9697023786546026 ;\n", + "Epoch 50/1000, Cost: 6.1220\n", + " and the parameters are [-1.11177333 1.7949795 ] -1.9697858960460342 ;\n", + "Epoch 50/1000, Cost: 8.2350\n", + " and the parameters are [-1.11182859 1.79496892] -1.969933195535667 ;\n", + "Epoch 50/1000, Cost: 6.6754\n", + " and the parameters are [-1.11190595 1.79510127] -1.9699569699056254 ;\n", + "Epoch 50/1000, Cost: 8.1693\n", + " and the parameters are [-1.11184901 1.79529034] -1.97004202248901 ;\n", + "Epoch 60/1000, Cost: 9.8127\n", + " and the parameters are [-1.21322787 1.9085504 ] -2.1480712142591325 ;\n", + "Epoch 60/1000, Cost: 7.5030\n", + " and the parameters are [-1.21331917 1.90854771] -2.148191679519195 ;\n", + "Epoch 60/1000, Cost: 7.6824\n", + " and the parameters are [-1.21319834 1.90861524] -2.1483805167715873 ;\n", + "Epoch 60/1000, Cost: 8.6936\n", + " and the parameters are [-1.21331882 1.9085751 ] -2.148519501750133 ;\n", + "Epoch 60/1000, Cost: 7.2627\n", + " and the parameters are [-1.21337423 1.90868995] -2.1485702842557064 ;\n", + "Epoch 60/1000, Cost: 7.9219\n", + " and the parameters are [-1.21343675 1.90876251] -2.148649932463361 ;\n", + "Epoch 60/1000, Cost: 8.1070\n", + " and the parameters are [-1.21350534 1.9086632 ] -2.1488786111272966 ;\n", + "Epoch 60/1000, Cost: 7.0333\n", + " and the parameters are [-1.21350407 1.90870678] -2.148983838361447 ;\n", + "Epoch 60/1000, Cost: 8.2739\n", + " and the parameters are [-1.21357565 1.90860103] -2.149213470340059 ;\n", + "Epoch 60/1000, Cost: 6.2254\n", + " and the parameters are [-1.2136967 1.90859139] -2.1493315392000576 ;\n", + "Epoch 60/1000, Cost: 6.7064\n", + " and the parameters are [-1.21367586 1.90870081] -2.1494314840491735 ;\n", + "Epoch 60/1000, Cost: 6.7097\n", + " and the parameters are [-1.21374566 1.9087461 ] -2.149524654907696 ;\n", + "Epoch 60/1000, Cost: 7.0131\n", + " and the parameters are [-1.21380223 1.90889727] -2.1495656483438674 ;\n", + "Epoch 60/1000, Cost: 7.5159\n", + " and the parameters are [-1.2139264 1.90894011] -2.149616198764232 ;\n", + "Epoch 60/1000, Cost: 5.8816\n", + " and the parameters are [-1.21397685 1.9091001 ] -2.1496452431451165 ;\n", + "Epoch 60/1000, Cost: 7.9885\n", + " and the parameters are [-1.21413847 1.9090019 ] -2.149814773621599 ;\n", + "Epoch 60/1000, Cost: 7.7578\n", + " and the parameters are [-1.21414963 1.9090296 ] -2.149955988904498 ;\n", + "Epoch 60/1000, Cost: 4.5025\n", + " and the parameters are [-1.21416743 1.9091759 ] -2.150007035483546 ;\n", + "Epoch 60/1000, Cost: 7.3268\n", + " and the parameters are [-1.21412677 1.90942161] -2.149949430552241 ;\n", + "Epoch 60/1000, Cost: 6.8824\n", + " and the parameters are [-1.2141314 1.90948449] -2.150089433890958 ;\n", + "Epoch 60/1000, Cost: 7.7048\n", + " and the parameters are [-1.21416534 1.90947683] -2.1502530678222747 ;\n", + "Epoch 60/1000, Cost: 4.9887\n", + " and the parameters are [-1.21413964 1.90968274] -2.1502809688032967 ;\n", + "Epoch 60/1000, Cost: 7.5240\n", + " and the parameters are [-1.21422237 1.90975819] -2.1503503683316856 ;\n", + "Epoch 60/1000, Cost: 8.2663\n", + " and the parameters are [-1.21428301 1.90981457] -2.1504489101791964 ;\n", + "Epoch 60/1000, Cost: 8.0856\n", + " and the parameters are [-1.21434405 1.90973812] -2.1506202486722548 ;\n", + "Epoch 60/1000, Cost: 8.0552\n", + " and the parameters are [-1.2143712 1.90967812] -2.1508209524443003 ;\n", + "Epoch 60/1000, Cost: 6.0145\n", + " and the parameters are [-1.21442639 1.90984016] -2.1508084236250435 ;\n", + "Epoch 60/1000, Cost: 4.8422\n", + " and the parameters are [-1.21439842 1.90998076] -2.150848476983085 ;\n", + "Epoch 60/1000, Cost: 5.9621\n", + " and the parameters are [-1.21433835 1.91009251] -2.150948884018687 ;\n", + "Epoch 60/1000, Cost: 8.9832\n", + " and the parameters are [-1.21440857 1.91013011] -2.1510015591532645 ;\n", + "Epoch 60/1000, Cost: 7.9003\n", + " and the parameters are [-1.2144851 1.9102659] -2.151040060645274 ;\n", + "Epoch 60/1000, Cost: 7.1419\n", + " and the parameters are [-1.21458222 1.91023617] -2.1511589583013624 ;\n", + "Epoch 60/1000, Cost: 7.4112\n", + " and the parameters are [-1.21449837 1.91034003] -2.151308794618817 ;\n", + "Epoch 60/1000, Cost: 8.2813\n", + " and the parameters are [-1.21451495 1.91036512] -2.151436122510144 ;\n", + "Epoch 60/1000, Cost: 5.8198\n", + " and the parameters are [-1.21456338 1.91044754] -2.151519272538144 ;\n", + "Epoch 60/1000, Cost: 4.8380\n", + " and the parameters are [-1.21458491 1.91055332] -2.1515894865431853 ;\n", + "Epoch 60/1000, Cost: 7.2699\n", + " and the parameters are [-1.21459055 1.91059942] -2.151719953843489 ;\n", + "Epoch 60/1000, Cost: 7.5004\n", + " and the parameters are [-1.21461309 1.91068681] -2.1518344474906796 ;\n", + "Epoch 60/1000, Cost: 5.9274\n", + " and the parameters are [-1.21467216 1.91076802] -2.151906795715469 ;\n", + "Epoch 60/1000, Cost: 7.2682\n", + " and the parameters are [-1.21466204 1.91076646] -2.1520502890746185 ;\n", + "Epoch 60/1000, Cost: 6.2129\n", + " and the parameters are [-1.21483792 1.91083688] -2.152088768084189 ;\n", + "Epoch 60/1000, Cost: 6.7814\n", + " and the parameters are [-1.2149051 1.91085343] -2.1522060144369553 ;\n", + "Epoch 60/1000, Cost: 6.6049\n", + " and the parameters are [-1.2150163 1.91083791] -2.152318879769999 ;\n", + "Epoch 60/1000, Cost: 7.2149\n", + " and the parameters are [-1.21501332 1.91101113] -2.152354313075317 ;\n", + "Epoch 60/1000, Cost: 7.3491\n", + " and the parameters are [-1.21495279 1.91122364] -2.152379795969206 ;\n", + "Epoch 60/1000, Cost: 7.4581\n", + " and the parameters are [-1.21504524 1.91119982] -2.1525244644998236 ;\n", + "Epoch 60/1000, Cost: 5.2537\n", + " and the parameters are [-1.21506024 1.91132153] -2.1525893017807207 ;\n", + "Epoch 60/1000, Cost: 7.3566\n", + " and the parameters are [-1.2150599 1.91142784] -2.1526783099799554 ;\n", + "Epoch 60/1000, Cost: 7.7434\n", + " and the parameters are [-1.21509604 1.91153879] -2.152730802055403 ;\n", + "Epoch 60/1000, Cost: 7.1415\n", + " and the parameters are [-1.21518473 1.91157096] -2.1528419675147457 ;\n", + "Epoch 60/1000, Cost: 8.3052\n", + " and the parameters are [-1.21522949 1.9116977 ] -2.1528444210296724 ;\n", + "Epoch 60/1000, Cost: 5.1535\n", + " and the parameters are [-1.21526851 1.91182228] -2.152903821904025 ;\n", + "Epoch 60/1000, Cost: 6.2994\n", + " and the parameters are [-1.21532512 1.91188241] -2.1530090050734754 ;\n", + "Epoch 60/1000, Cost: 5.3538\n", + " and the parameters are [-1.21533886 1.9121391 ] -2.1529663685533635 ;\n", + "Epoch 60/1000, Cost: 6.9607\n", + " and the parameters are [-1.21532873 1.91232834] -2.153004009150469 ;\n", + "Epoch 60/1000, Cost: 7.8026\n", + " and the parameters are [-1.21529946 1.91249021] -2.1530701078430066 ;\n", + "Epoch 60/1000, Cost: 5.3482\n", + " and the parameters are [-1.21534154 1.91256995] -2.153155975752744 ;\n", + "Epoch 60/1000, Cost: 8.5424\n", + " and the parameters are [-1.215313 1.91278376] -2.153191735778827 ;\n", + "Epoch 60/1000, Cost: 5.5219\n", + " and the parameters are [-1.21530086 1.91300132] -2.1531885531104478 ;\n", + "Epoch 60/1000, Cost: 8.0039\n", + " and the parameters are [-1.21534486 1.91312902] -2.153251879814361 ;\n", + "Epoch 60/1000, Cost: 8.6481\n", + " and the parameters are [-1.21544575 1.91304584] -2.1534269151510657 ;\n", + "Epoch 60/1000, Cost: 6.6043\n", + " and the parameters are [-1.2154833 1.91310863] -2.153505779847808 ;\n", + "Epoch 60/1000, Cost: 6.4250\n", + " and the parameters are [-1.21557216 1.91317532] -2.1535798019102703 ;\n", + "Epoch 60/1000, Cost: 8.3463\n", + " and the parameters are [-1.21576529 1.91308582] -2.153738128690087 ;\n", + "Epoch 60/1000, Cost: 6.8266\n", + " and the parameters are [-1.21576761 1.91326055] -2.1537152007262614 ;\n", + "Epoch 60/1000, Cost: 5.6190\n", + " and the parameters are [-1.21571038 1.91343247] -2.15375093491406 ;\n", + "Epoch 60/1000, Cost: 7.3264\n", + " and the parameters are [-1.21583202 1.91342554] -2.1538689385879577 ;\n", + "Epoch 60/1000, Cost: 7.0610\n", + " and the parameters are [-1.21586391 1.91353225] -2.1539394083997006 ;\n", + "Epoch 60/1000, Cost: 6.5928\n", + " and the parameters are [-1.21591135 1.91368616] -2.1539567289412194 ;\n", + "Epoch 60/1000, Cost: 8.4694\n", + " and the parameters are [-1.21604017 1.91359549] -2.1541159628449145 ;\n", + "Epoch 60/1000, Cost: 8.4480\n", + " and the parameters are [-1.21605237 1.91359283] -2.154291600294945 ;\n", + "Epoch 60/1000, Cost: 6.3872\n", + " and the parameters are [-1.21609192 1.9137477 ] -2.154327118351205 ;\n", + "Epoch 60/1000, Cost: 6.4380\n", + " and the parameters are [-1.21619543 1.91379022] -2.1544197312035855 ;\n", + "Epoch 60/1000, Cost: 4.9362\n", + " and the parameters are [-1.21616887 1.91392013] -2.154475726986837 ;\n", + "Epoch 60/1000, Cost: 7.9088\n", + " and the parameters are [-1.21621214 1.91406098] -2.1544954858417653 ;\n", + "Epoch 60/1000, Cost: 7.3988\n", + " and the parameters are [-1.21626006 1.91417062] -2.1545759619706244 ;\n", + "Epoch 60/1000, Cost: 6.3682\n", + " and the parameters are [-1.21634841 1.91423235] -2.154663428019994 ;\n", + "Epoch 60/1000, Cost: 5.5603\n", + " and the parameters are [-1.21637695 1.91431701] -2.154754091249201 ;\n", + "Epoch 60/1000, Cost: 7.2872\n", + " and the parameters are [-1.21634781 1.91444465] -2.154839600972264 ;\n", + "Epoch 60/1000, Cost: 7.4820\n", + " and the parameters are [-1.21653343 1.91447323] -2.1548850040684 ;\n", + "Epoch 60/1000, Cost: 7.3236\n", + " and the parameters are [-1.21664187 1.91452292] -2.15495412348104 ;\n", + "Epoch 60/1000, Cost: 6.3947\n", + " and the parameters are [-1.21669332 1.91460974] -2.1550275065320434 ;\n", + "Epoch 60/1000, Cost: 8.2756\n", + " and the parameters are [-1.21671168 1.9146566 ] -2.155094811485081 ;\n", + "Epoch 60/1000, Cost: 6.9549\n", + " and the parameters are [-1.21679448 1.91482261] -2.1550779941583276 ;\n", + "Epoch 60/1000, Cost: 7.1848\n", + " and the parameters are [-1.21678949 1.9149185 ] -2.1551726020627404 ;\n", + "Epoch 60/1000, Cost: 5.6440\n", + " and the parameters are [-1.21672797 1.91506443] -2.1552746908396214 ;\n", + "Epoch 60/1000, Cost: 6.9414\n", + " and the parameters are [-1.21674357 1.91517288] -2.1553642251365517 ;\n", + "Epoch 60/1000, Cost: 8.8992\n", + " and the parameters are [-1.21682734 1.91515545] -2.155487918793074 ;\n", + "Epoch 60/1000, Cost: 7.2033\n", + " and the parameters are [-1.21688704 1.9152336 ] -2.1555486481108086 ;\n", + "Epoch 60/1000, Cost: 7.5917\n", + " and the parameters are [-1.21705937 1.91519466] -2.1556571560230453 ;\n", + "Epoch 60/1000, Cost: 7.8322\n", + " and the parameters are [-1.21705221 1.9153047 ] -2.1557479511837214 ;\n", + "Epoch 60/1000, Cost: 9.7242\n", + " and the parameters are [-1.21717987 1.91524046] -2.1558885142702895 ;\n", + "Epoch 60/1000, Cost: 7.0976\n", + " and the parameters are [-1.21721857 1.91542293] -2.1558863458604263 ;\n", + "Epoch 60/1000, Cost: 5.8342\n", + " and the parameters are [-1.21718797 1.91556011] -2.1559579795226815 ;\n", + "Epoch 60/1000, Cost: 7.6195\n", + " and the parameters are [-1.21725838 1.91560841] -2.1560843908253378 ;\n", + "Epoch 60/1000, Cost: 11.9959\n", + " and the parameters are [-1.21741654 1.9153302 ] -2.156328425469311 ;\n", + "Epoch 60/1000, Cost: 6.1067\n", + " and the parameters are [-1.21745245 1.91543114] -2.1564102852853155 ;\n", + "Epoch 60/1000, Cost: 6.4530\n", + " and the parameters are [-1.2176047 1.91541382] -2.1565222850316297 ;\n", + "Epoch 60/1000, Cost: 6.2328\n", + " and the parameters are [-1.21764808 1.91554307] -2.156562846904206 ;\n", + "Epoch 60/1000, Cost: 8.5045\n", + " and the parameters are [-1.2176382 1.91569439] -2.1566311404818013 ;\n", + "Epoch 60/1000, Cost: 6.0037\n", + " and the parameters are [-1.21771558 1.91570706] -2.156730726279057 ;\n", + "Epoch 60/1000, Cost: 6.2817\n", + " and the parameters are [-1.21787493 1.91579463] -2.156737009057545 ;\n", + "Epoch 60/1000, Cost: 7.3093\n", + " and the parameters are [-1.21787966 1.91587182] -2.156873257220264 ;\n", + "Epoch 60/1000, Cost: 5.6166\n", + " and the parameters are [-1.21787939 1.91591324] -2.157021732090459 ;\n", + "Epoch 60/1000, Cost: 8.9883\n", + " and the parameters are [-1.21790616 1.91594236] -2.1571324844602775 ;\n", + "Epoch 60/1000, Cost: 10.6714\n", + " and the parameters are [-1.21806635 1.91574145] -2.1573710760788627 ;\n", + "Epoch 60/1000, Cost: 6.8536\n", + " and the parameters are [-1.21802998 1.91596157] -2.1573927093064476 ;\n", + "Epoch 60/1000, Cost: 6.8299\n", + " and the parameters are [-1.21806085 1.9160396 ] -2.1575121488148086 ;\n", + "Epoch 60/1000, Cost: 7.9492\n", + " and the parameters are [-1.2180866 1.91604854] -2.1576585137657727 ;\n", + "Epoch 60/1000, Cost: 8.3124\n", + " and the parameters are [-1.21827655 1.91603051] -2.157749649144168 ;\n", + "Epoch 60/1000, Cost: 3.7421\n", + " and the parameters are [-1.21834506 1.91621705] -2.1577112210449836 ;\n", + "Epoch 60/1000, Cost: 5.8374\n", + " and the parameters are [-1.21838039 1.91634683] -2.1577612864947255 ;\n", + "Epoch 60/1000, Cost: 6.1754\n", + " and the parameters are [-1.21841155 1.91637578] -2.157880154770276 ;\n", + "Epoch 60/1000, Cost: 8.4784\n", + " and the parameters are [-1.21852266 1.91628679] -2.1580747855746294 ;\n", + "Epoch 60/1000, Cost: 7.6378\n", + " and the parameters are [-1.2186062 1.91627891] -2.1582156435742696 ;\n", + "Epoch 60/1000, Cost: 5.4369\n", + " and the parameters are [-1.2186712 1.91644384] -2.158227193416831 ;\n", + "Epoch 60/1000, Cost: 5.7353\n", + " and the parameters are [-1.21871611 1.91652282] -2.1582919706334045 ;\n", + "Epoch 60/1000, Cost: 6.6763\n", + " and the parameters are [-1.21879231 1.91662253] -2.158331836202899 ;\n", + "Epoch 60/1000, Cost: 8.5797\n", + " and the parameters are [-1.21880496 1.9165702 ] -2.1585361184999297 ;\n", + "Epoch 60/1000, Cost: 6.5091\n", + " and the parameters are [-1.21891824 1.91659048] -2.1586151841242334 ;\n", + "Epoch 60/1000, Cost: 7.4141\n", + " and the parameters are [-1.21902908 1.9167423 ] -2.158622043459205 ;\n", + "Epoch 60/1000, Cost: 6.9294\n", + " and the parameters are [-1.21903357 1.91689594] -2.15867696648801 ;\n", + "Epoch 60/1000, Cost: 6.4244\n", + " and the parameters are [-1.2191592 1.91687934] -2.158801378145226 ;\n", + "Epoch 60/1000, Cost: 8.9630\n", + " and the parameters are [-1.21928769 1.91680413] -2.1589359723664763 ;\n", + "Epoch 60/1000, Cost: 7.3116\n", + " and the parameters are [-1.21936889 1.9168913 ] -2.159018736886363 ;\n", + "Epoch 60/1000, Cost: 5.6318\n", + " and the parameters are [-1.21936717 1.91705103] -2.1590679694891866 ;\n", + "Epoch 60/1000, Cost: 7.8319\n", + " and the parameters are [-1.21950898 1.91691939] -2.1592506197296077 ;\n", + "Epoch 60/1000, Cost: 7.8588\n", + " and the parameters are [-1.21956652 1.91697128] -2.159375753887765 ;\n", + "Epoch 60/1000, Cost: 5.8321\n", + " and the parameters are [-1.21959573 1.91706787] -2.159457196919129 ;\n", + "Epoch 60/1000, Cost: 6.5950\n", + " and the parameters are [-1.21967879 1.91719756] -2.159470374420788 ;\n", + "Epoch 60/1000, Cost: 10.1737\n", + " and the parameters are [-1.21985616 1.91699917] -2.159670216196895 ;\n", + "Epoch 60/1000, Cost: 9.6628\n", + " and the parameters are [-1.21974142 1.91703633] -2.1598519237444846 ;\n", + "Epoch 60/1000, Cost: 9.1628\n", + " and the parameters are [-1.21981225 1.91707853] -2.1599303320055827 ;\n", + "Epoch 60/1000, Cost: 6.9553\n", + " and the parameters are [-1.21991319 1.91713948] -2.1599689830156423 ;\n", + "Epoch 60/1000, Cost: 7.4038\n", + " and the parameters are [-1.21995557 1.91718621] -2.1600725767692337 ;\n", + "Epoch 60/1000, Cost: 6.2598\n", + " and the parameters are [-1.22003984 1.917288 ] -2.1601019419342746 ;\n", + "Epoch 60/1000, Cost: 6.6179\n", + " and the parameters are [-1.22017179 1.91729498] -2.1602057859353323 ;\n", + "Epoch 60/1000, Cost: 7.2163\n", + " and the parameters are [-1.22021183 1.91738858] -2.1602818766666005 ;\n", + "Epoch 60/1000, Cost: 6.0031\n", + " and the parameters are [-1.22027658 1.91741066] -2.1604057383247692 ;\n", + "Epoch 60/1000, Cost: 6.9405\n", + " and the parameters are [-1.22023331 1.91743563] -2.160592312714341 ;\n", + "Epoch 60/1000, Cost: 8.7268\n", + " and the parameters are [-1.2203216 1.91740059] -2.1607650718503995 ;\n", + "Epoch 60/1000, Cost: 6.0303\n", + " and the parameters are [-1.22034545 1.91747592] -2.1608836289055633 ;\n", + "Epoch 60/1000, Cost: 7.3751\n", + " and the parameters are [-1.22029929 1.91749622] -2.1610653802142195 ;\n", + "Epoch 60/1000, Cost: 5.3808\n", + " and the parameters are [-1.22023771 1.91760221] -2.161167851624147 ;\n", + "Epoch 60/1000, Cost: 10.2177\n", + " and the parameters are [-1.22031102 1.91740097] -2.1614278688699113 ;\n", + "Epoch 60/1000, Cost: 6.7594\n", + " and the parameters are [-1.22042537 1.91741913] -2.161539335059871 ;\n", + "Epoch 60/1000, Cost: 5.5292\n", + " and the parameters are [-1.22041731 1.91753117] -2.1616422049217072 ;\n", + "Epoch 60/1000, Cost: 8.7293\n", + " and the parameters are [-1.22046284 1.91757914] -2.161735597109086 ;\n", + "Epoch 60/1000, Cost: 8.5691\n", + " and the parameters are [-1.22043295 1.91762335] -2.161853990211026 ;\n", + "Epoch 60/1000, Cost: 5.3566\n", + " and the parameters are [-1.22051633 1.91768973] -2.1619191595443836 ;\n", + "Epoch 60/1000, Cost: 7.1245\n", + " and the parameters are [-1.2206259 1.91780185] -2.161965606247177 ;\n", + "Epoch 60/1000, Cost: 12.2358\n", + " and the parameters are [-1.22075961 1.91761795] -2.162169038024599 ;\n", + "Epoch 60/1000, Cost: 9.1475\n", + " and the parameters are [-1.22081212 1.91766063] -2.1623275440173955 ;\n", + "Epoch 60/1000, Cost: 10.5538\n", + " and the parameters are [-1.22102015 1.91747995] -2.162524913072812 ;\n", + "Epoch 60/1000, Cost: 10.9048\n", + " and the parameters are [-1.22113232 1.91739298] -2.1626298936419803 ;\n", + "Epoch 60/1000, Cost: 5.9474\n", + " and the parameters are [-1.22112506 1.91741447] -2.1627999736966528 ;\n", + "Epoch 60/1000, Cost: 5.8990\n", + " and the parameters are [-1.22119505 1.91747392] -2.1628910183300505 ;\n", + "Epoch 60/1000, Cost: 7.9422\n", + " and the parameters are [-1.22120329 1.91762279] -2.162949313277045 ;\n", + "Epoch 60/1000, Cost: 10.4619\n", + " and the parameters are [-1.22134638 1.91747157] -2.1631366282772366 ;\n", + "Epoch 60/1000, Cost: 8.7823\n", + " and the parameters are [-1.22134777 1.91765199] -2.1631177504335692 ;\n", + "Epoch 60/1000, Cost: 5.0092\n", + " and the parameters are [-1.22143502 1.91777611] -2.1631384158936418 ;\n", + "Epoch 60/1000, Cost: 5.4230\n", + " and the parameters are [-1.2213806 1.9178788] -2.1632452678081666 ;\n", + "Epoch 60/1000, Cost: 7.9581\n", + " and the parameters are [-1.22146475 1.91798622] -2.163286969977211 ;\n", + "Epoch 60/1000, Cost: 8.0582\n", + " and the parameters are [-1.22151712 1.91802303] -2.1634034649761835 ;\n", + "Epoch 60/1000, Cost: 6.8889\n", + " and the parameters are [-1.22154635 1.9180926 ] -2.163502456159124 ;\n", + "Epoch 60/1000, Cost: 8.2163\n", + " and the parameters are [-1.22160987 1.91826099] -2.1634924356374676 ;\n", + "Epoch 60/1000, Cost: 7.4527\n", + " and the parameters are [-1.22163859 1.9183649 ] -2.1635468817472643 ;\n", + "Epoch 60/1000, Cost: 7.9619\n", + " and the parameters are [-1.22172815 1.91832036] -2.1636919824055028 ;\n", + "Epoch 60/1000, Cost: 9.1523\n", + " and the parameters are [-1.22175964 1.91828701] -2.1638610797654265 ;\n", + "Epoch 60/1000, Cost: 7.6086\n", + " and the parameters are [-1.22190406 1.91819548] -2.163983193544521 ;\n", + "Epoch 60/1000, Cost: 7.9827\n", + " and the parameters are [-1.22192759 1.91829987] -2.1640700530732326 ;\n", + "Epoch 60/1000, Cost: 8.6059\n", + " and the parameters are [-1.22194469 1.91820606] -2.164286495520027 ;\n", + "Epoch 60/1000, Cost: 5.3360\n", + " and the parameters are [-1.22198888 1.91827216] -2.164386613579074 ;\n", + "Epoch 60/1000, Cost: 4.9312\n", + " and the parameters are [-1.22201883 1.91843425] -2.1644134489942624 ;\n", + "Epoch 60/1000, Cost: 7.0355\n", + " and the parameters are [-1.22213823 1.91842573] -2.1645592169258565 ;\n", + "Epoch 60/1000, Cost: 6.8261\n", + " and the parameters are [-1.22216654 1.91843918] -2.1646707047728424 ;\n", + "Epoch 60/1000, Cost: 7.6634\n", + " and the parameters are [-1.2222286 1.91843614] -2.1647933512745174 ;\n", + "Epoch 60/1000, Cost: 5.4562\n", + " and the parameters are [-1.22227462 1.91858075] -2.1648336236203205 ;\n", + "Epoch 60/1000, Cost: 7.1945\n", + " and the parameters are [-1.22217048 1.91869319] -2.164910506623458 ;\n", + "Epoch 60/1000, Cost: 7.9780\n", + " and the parameters are [-1.22237107 1.91870781] -2.1649627341595585 ;\n", + "Epoch 60/1000, Cost: 5.7766\n", + " and the parameters are [-1.22242355 1.91884732] -2.164989626794692 ;\n", + "Epoch 60/1000, Cost: 6.6029\n", + " and the parameters are [-1.2225164 1.9187638] -2.1651704460536747 ;\n", + "Epoch 60/1000, Cost: 8.6205\n", + " and the parameters are [-1.22272618 1.91865671] -2.165319939898486 ;\n", + "Epoch 60/1000, Cost: 6.9106\n", + " and the parameters are [-1.22282591 1.91877209] -2.1653259873197452 ;\n", + "Epoch 60/1000, Cost: 7.9732\n", + " and the parameters are [-1.22278932 1.91891685] -2.165385788264577 ;\n", + "Epoch 60/1000, Cost: 7.3989\n", + " and the parameters are [-1.22285593 1.91901119] -2.1654426840371546 ;\n", + "Epoch 60/1000, Cost: 7.8190\n", + " and the parameters are [-1.22302481 1.91900461] -2.1655094781326976 ;\n", + "Epoch 60/1000, Cost: 6.6081\n", + " and the parameters are [-1.22311507 1.91899814] -2.16566877759505 ;\n", + "Epoch 60/1000, Cost: 6.9210\n", + " and the parameters are [-1.22327779 1.91897824] -2.1657715256514853 ;\n", + "Epoch 60/1000, Cost: 6.5533\n", + " and the parameters are [-1.22333438 1.91896731] -2.1659283531160023 ;\n", + "Epoch 60/1000, Cost: 9.4818\n", + " and the parameters are [-1.22349083 1.91893711] -2.165975849315108 ;\n", + "Epoch 60/1000, Cost: 5.5574\n", + " and the parameters are [-1.22341338 1.91907625] -2.1660480450904696 ;\n", + "Epoch 60/1000, Cost: 7.9032\n", + " and the parameters are [-1.22350564 1.919271 ] -2.1660356848509106 ;\n", + "Epoch 60/1000, Cost: 6.2676\n", + " and the parameters are [-1.2234961 1.91950519] -2.166025759386007 ;\n", + "Epoch 60/1000, Cost: 5.9230\n", + " and the parameters are [-1.22337267 1.91976293] -2.1660499553279373 ;\n", + "Epoch 60/1000, Cost: 5.8729\n", + " and the parameters are [-1.22347548 1.91982099] -2.1660959090790444 ;\n", + "Epoch 60/1000, Cost: 5.8409\n", + " and the parameters are [-1.22342343 1.9199494 ] -2.1661990685175687 ;\n", + "Epoch 60/1000, Cost: 6.6080\n", + " and the parameters are [-1.22340689 1.92011509] -2.16624757042862 ;\n", + "Epoch 60/1000, Cost: 7.5356\n", + " and the parameters are [-1.22349797 1.92020341] -2.1663233898248597 ;\n", + "Epoch 60/1000, Cost: 5.1547\n", + " and the parameters are [-1.22355673 1.92023975] -2.1664333083462437 ;\n", + "Epoch 70/1000, Cost: 7.6273\n", + " and the parameters are [-1.31160639 2.02010993] -2.321606476055987 ;\n", + "Epoch 70/1000, Cost: 7.2681\n", + " and the parameters are [-1.31171041 2.0200854 ] -2.321717676777845 ;\n", + "Epoch 70/1000, Cost: 6.8124\n", + " and the parameters are [-1.31174369 2.02014455] -2.3217644281592262 ;\n", + "Epoch 70/1000, Cost: 7.5761\n", + " and the parameters are [-1.31172667 2.02024941] -2.3218206832934807 ;\n", + "Epoch 70/1000, Cost: 7.9064\n", + " and the parameters are [-1.31177131 2.02030468] -2.3218993506630023 ;\n", + "Epoch 70/1000, Cost: 7.0376\n", + " and the parameters are [-1.31182501 2.02046183] -2.32189977536431 ;\n", + "Epoch 70/1000, Cost: 6.3915\n", + " and the parameters are [-1.3119013 2.02052962] -2.321982543769262 ;\n", + "Epoch 70/1000, Cost: 10.9553\n", + " and the parameters are [-1.31200899 2.02029267] -2.3222234518235756 ;\n", + "Epoch 70/1000, Cost: 6.7225\n", + " and the parameters are [-1.31214984 2.02026987] -2.322299247362428 ;\n", + "Epoch 70/1000, Cost: 4.9873\n", + " and the parameters are [-1.3122206 2.020329 ] -2.3223754082555685 ;\n", + "Epoch 70/1000, Cost: 7.9109\n", + " and the parameters are [-1.31238296 2.02027113] -2.3224945654811417 ;\n", + "Epoch 70/1000, Cost: 5.2955\n", + " and the parameters are [-1.31250428 2.02028977] -2.32258603860788 ;\n", + "Epoch 70/1000, Cost: 6.3343\n", + " and the parameters are [-1.31250031 2.02045556] -2.322563067994948 ;\n", + "Epoch 70/1000, Cost: 4.9360\n", + " and the parameters are [-1.31254577 2.02039485] -2.3227268097650295 ;\n", + "Epoch 70/1000, Cost: 8.8357\n", + " and the parameters are [-1.31264644 2.02029883] -2.3229191286759807 ;\n", + "Epoch 70/1000, Cost: 7.7268\n", + " and the parameters are [-1.3128714 2.02036098] -2.322892589625812 ;\n", + "Epoch 70/1000, Cost: 6.8307\n", + " and the parameters are [-1.31288428 2.02042949] -2.3230147536284163 ;\n", + "Epoch 70/1000, Cost: 6.8226\n", + " and the parameters are [-1.31302338 2.02050689] -2.3230386391107385 ;\n", + "Epoch 70/1000, Cost: 4.9574\n", + " and the parameters are [-1.31314559 2.02057777] -2.3230560087240955 ;\n", + "Epoch 70/1000, Cost: 6.5483\n", + " and the parameters are [-1.31323312 2.02055729] -2.323158801904864 ;\n", + "Epoch 70/1000, Cost: 7.9676\n", + " and the parameters are [-1.31311293 2.020657 ] -2.3232747844548394 ;\n", + "Epoch 70/1000, Cost: 4.6993\n", + " and the parameters are [-1.31314655 2.02081861] -2.3232585265196444 ;\n", + "Epoch 70/1000, Cost: 6.0882\n", + " and the parameters are [-1.31322669 2.02080584] -2.3233638248011985 ;\n", + "Epoch 70/1000, Cost: 9.6876\n", + " and the parameters are [-1.31328811 2.02070951] -2.323542679080463 ;\n", + "Epoch 70/1000, Cost: 6.3817\n", + " and the parameters are [-1.31327922 2.020956 ] -2.323512626369923 ;\n", + "Epoch 70/1000, Cost: 8.8504\n", + " and the parameters are [-1.31331619 2.02091925] -2.3236939731599087 ;\n", + "Epoch 70/1000, Cost: 5.0761\n", + " and the parameters are [-1.3133428 2.02099296] -2.323754444930006 ;\n", + "Epoch 70/1000, Cost: 6.3627\n", + " and the parameters are [-1.31339694 2.02107009] -2.323803111531343 ;\n", + "Epoch 70/1000, Cost: 5.8264\n", + " and the parameters are [-1.31342914 2.0211956 ] -2.3238329325914813 ;\n", + "Epoch 70/1000, Cost: 5.9189\n", + " and the parameters are [-1.31344831 2.02129882] -2.323895801349205 ;\n", + "Epoch 70/1000, Cost: 6.0731\n", + " and the parameters are [-1.31351333 2.02136172] -2.323981565857814 ;\n", + "Epoch 70/1000, Cost: 5.2241\n", + " and the parameters are [-1.3134612 2.02148517] -2.3240624466941355 ;\n", + "Epoch 70/1000, Cost: 7.8853\n", + " and the parameters are [-1.31355708 2.02136402] -2.3242239130345883 ;\n", + "Epoch 70/1000, Cost: 5.8489\n", + " and the parameters are [-1.31355568 2.02145661] -2.324320316671372 ;\n", + "Epoch 70/1000, Cost: 5.1839\n", + " and the parameters are [-1.31355519 2.02157568] -2.324387119631785 ;\n", + "Epoch 70/1000, Cost: 11.5482\n", + " and the parameters are [-1.31376534 2.02125693] -2.32466075047478 ;\n", + "Epoch 70/1000, Cost: 7.5137\n", + " and the parameters are [-1.31394289 2.02110749] -2.3248390128607115 ;\n", + "Epoch 70/1000, Cost: 6.6938\n", + " and the parameters are [-1.31398757 2.02122344] -2.3248764203804786 ;\n", + "Epoch 70/1000, Cost: 5.3775\n", + " and the parameters are [-1.31404058 2.02132314] -2.324939558971432 ;\n", + "Epoch 70/1000, Cost: 7.9940\n", + " and the parameters are [-1.31407269 2.02129139] -2.325085093128731 ;\n", + "Epoch 70/1000, Cost: 6.5805\n", + " and the parameters are [-1.31416281 2.02128994] -2.3251900938825067 ;\n", + "Epoch 70/1000, Cost: 5.9734\n", + " and the parameters are [-1.31420849 2.02140266] -2.325215182993853 ;\n", + "Epoch 70/1000, Cost: 9.3983\n", + " and the parameters are [-1.31420804 2.02148752] -2.3252641193238186 ;\n", + "Epoch 70/1000, Cost: 7.3666\n", + " and the parameters are [-1.31427413 2.02156063] -2.325331329481869 ;\n", + "Epoch 70/1000, Cost: 8.0994\n", + " and the parameters are [-1.31430208 2.02155185] -2.325470965000001 ;\n", + "Epoch 70/1000, Cost: 6.6864\n", + " and the parameters are [-1.31429543 2.02168677] -2.3255331435203073 ;\n", + "Epoch 70/1000, Cost: 4.1632\n", + " and the parameters are [-1.3142863 2.02183766] -2.325568837036101 ;\n", + "Epoch 70/1000, Cost: 7.3307\n", + " and the parameters are [-1.31435055 2.02187327] -2.3256654300293134 ;\n", + "Epoch 70/1000, Cost: 4.5666\n", + " and the parameters are [-1.31432786 2.02196092] -2.3257634444112174 ;\n", + "Epoch 70/1000, Cost: 7.7419\n", + " and the parameters are [-1.31428248 2.02200916] -2.3259078317518425 ;\n", + "Epoch 70/1000, Cost: 4.5245\n", + " and the parameters are [-1.31433985 2.02207739] -2.3259670551030056 ;\n", + "Epoch 70/1000, Cost: 7.5861\n", + " and the parameters are [-1.31456816 2.02198366] -2.3260645205025234 ;\n", + "Epoch 70/1000, Cost: 5.1375\n", + " and the parameters are [-1.31453214 2.02223416] -2.3260255892790584 ;\n", + "Epoch 70/1000, Cost: 4.9515\n", + " and the parameters are [-1.31463387 2.02220729] -2.3261254381998393 ;\n", + "Epoch 70/1000, Cost: 7.0008\n", + " and the parameters are [-1.31474468 2.02221022] -2.3262168102622396 ;\n", + "Epoch 70/1000, Cost: 5.1099\n", + " and the parameters are [-1.31474308 2.02240748] -2.3262216839735697 ;\n", + "Epoch 70/1000, Cost: 6.0624\n", + " and the parameters are [-1.31471556 2.02252311] -2.3263074258924767 ;\n", + "Epoch 70/1000, Cost: 7.1861\n", + " and the parameters are [-1.31480882 2.02252899] -2.326379639625604 ;\n", + "Epoch 70/1000, Cost: 5.3108\n", + " and the parameters are [-1.31486932 2.02261335] -2.3264511910206083 ;\n", + "Epoch 70/1000, Cost: 8.7862\n", + " and the parameters are [-1.31503114 2.0225468 ] -2.3265871789518817 ;\n", + "Epoch 70/1000, Cost: 5.8715\n", + " and the parameters are [-1.31495727 2.02266551] -2.3266889285004755 ;\n", + "Epoch 70/1000, Cost: 8.5278\n", + " and the parameters are [-1.31514531 2.02246722] -2.326894891061391 ;\n", + "Epoch 70/1000, Cost: 6.9747\n", + " and the parameters are [-1.31527788 2.02244231] -2.3270105430346124 ;\n", + "Epoch 70/1000, Cost: 9.4061\n", + " and the parameters are [-1.31530527 2.02254855] -2.327029128050012 ;\n", + "Epoch 70/1000, Cost: 5.5673\n", + " and the parameters are [-1.3153254 2.02272239] -2.327020633144043 ;\n", + "Epoch 70/1000, Cost: 7.0140\n", + " and the parameters are [-1.31541769 2.0226957 ] -2.327146644803782 ;\n", + "Epoch 70/1000, Cost: 5.3700\n", + " and the parameters are [-1.3154571 2.02287412] -2.3271401017165303 ;\n", + "Epoch 70/1000, Cost: 6.2331\n", + " and the parameters are [-1.31556394 2.0228834 ] -2.3272106100026764 ;\n", + "Epoch 70/1000, Cost: 5.8531\n", + " and the parameters are [-1.31549079 2.02302811] -2.3272885943297914 ;\n", + "Epoch 70/1000, Cost: 7.1982\n", + " and the parameters are [-1.31550396 2.02297078] -2.3274886273250637 ;\n", + "Epoch 70/1000, Cost: 6.9679\n", + " and the parameters are [-1.31562397 2.02297904] -2.327579235455912 ;\n", + "Epoch 70/1000, Cost: 6.1670\n", + " and the parameters are [-1.31560191 2.02297018] -2.327723890613345 ;\n", + "Epoch 70/1000, Cost: 7.0946\n", + " and the parameters are [-1.31576685 2.02298308] -2.327757843433028 ;\n", + "Epoch 70/1000, Cost: 7.3441\n", + " and the parameters are [-1.3158085 2.02307928] -2.3277957812764267 ;\n", + "Epoch 70/1000, Cost: 5.5676\n", + " and the parameters are [-1.31576052 2.02321438] -2.32787653174181 ;\n", + "Epoch 70/1000, Cost: 8.6889\n", + " and the parameters are [-1.31583353 2.02333077] -2.327909071350137 ;\n", + "Epoch 70/1000, Cost: 8.2744\n", + " and the parameters are [-1.31602701 2.02316504] -2.328071467020522 ;\n", + "Epoch 70/1000, Cost: 8.6041\n", + " and the parameters are [-1.31611027 2.02323036] -2.3281438042909297 ;\n", + "Epoch 70/1000, Cost: 5.0004\n", + " and the parameters are [-1.31610804 2.02341231] -2.328145832685092 ;\n", + "Epoch 70/1000, Cost: 4.6935\n", + " and the parameters are [-1.31614852 2.02343037] -2.3282468549474507 ;\n", + "Epoch 70/1000, Cost: 5.9373\n", + " and the parameters are [-1.3162761 2.02343214] -2.328342699160704 ;\n", + "Epoch 70/1000, Cost: 7.5712\n", + " and the parameters are [-1.31642243 2.02340849] -2.3284447394798438 ;\n", + "Epoch 70/1000, Cost: 6.4509\n", + " and the parameters are [-1.31642894 2.02346515] -2.3285384501357824 ;\n", + "Epoch 70/1000, Cost: 5.6527\n", + " and the parameters are [-1.31645344 2.02353356] -2.3286164829316665 ;\n", + "Epoch 70/1000, Cost: 4.1665\n", + " and the parameters are [-1.31649369 2.02367106] -2.328621795505149 ;\n", + "Epoch 70/1000, Cost: 8.1788\n", + " and the parameters are [-1.31660729 2.02361842] -2.328758265139852 ;\n", + "Epoch 70/1000, Cost: 5.6673\n", + " and the parameters are [-1.31665637 2.02369434] -2.3288340206440683 ;\n", + "Epoch 70/1000, Cost: 6.4426\n", + " and the parameters are [-1.31669796 2.02372825] -2.328942419882296 ;\n", + "Epoch 70/1000, Cost: 6.4285\n", + " and the parameters are [-1.31675514 2.02386699] -2.328945233803416 ;\n", + "Epoch 70/1000, Cost: 6.3017\n", + " and the parameters are [-1.31681927 2.02392027] -2.329023750474478 ;\n", + "Epoch 70/1000, Cost: 6.9231\n", + " and the parameters are [-1.3168839 2.02393969] -2.3290950273568782 ;\n", + "Epoch 70/1000, Cost: 4.9037\n", + " and the parameters are [-1.31689349 2.02404935] -2.329159176969122 ;\n", + "Epoch 70/1000, Cost: 6.1772\n", + " and the parameters are [-1.31693862 2.02412236] -2.329221258287609 ;\n", + "Epoch 70/1000, Cost: 6.2386\n", + " and the parameters are [-1.3169163 2.02417103] -2.329311345635377 ;\n", + "Epoch 70/1000, Cost: 3.6464\n", + " and the parameters are [-1.31693677 2.02437436] -2.329255125444453 ;\n", + "Epoch 70/1000, Cost: 6.7063\n", + " and the parameters are [-1.31704253 2.02437233] -2.3293187402767863 ;\n", + "Epoch 70/1000, Cost: 8.5732\n", + " and the parameters are [-1.31719317 2.02429383] -2.3294219196532007 ;\n", + "Epoch 70/1000, Cost: 9.2782\n", + " and the parameters are [-1.31737502 2.02403705] -2.3296846342026316 ;\n", + "Epoch 70/1000, Cost: 5.3937\n", + " and the parameters are [-1.31739274 2.02414788] -2.3297445905205216 ;\n", + "Epoch 70/1000, Cost: 4.6788\n", + " and the parameters are [-1.31746078 2.02423933] -2.3297956420096058 ;\n", + "Epoch 70/1000, Cost: 7.9461\n", + " and the parameters are [-1.31745232 2.02428401] -2.3299122307935938 ;\n", + "Epoch 70/1000, Cost: 6.4520\n", + " and the parameters are [-1.31757784 2.02430156] -2.3300038123497226 ;\n", + "Epoch 70/1000, Cost: 6.9045\n", + " and the parameters are [-1.3174894 2.02439702] -2.330080986570342 ;\n", + "Epoch 70/1000, Cost: 7.6720\n", + " and the parameters are [-1.31755161 2.02430153] -2.3302468757198893 ;\n", + "Epoch 70/1000, Cost: 6.1469\n", + " and the parameters are [-1.31756849 2.02439807] -2.330315506456346 ;\n", + "Epoch 70/1000, Cost: 6.2291\n", + " and the parameters are [-1.31761039 2.02451546] -2.330372093190118 ;\n", + "Epoch 70/1000, Cost: 4.9887\n", + " and the parameters are [-1.31756891 2.02466783] -2.3304049301326146 ;\n", + "Epoch 70/1000, Cost: 6.8925\n", + " and the parameters are [-1.31755024 2.02457641] -2.3306091781288485 ;\n", + "Epoch 70/1000, Cost: 6.8631\n", + " and the parameters are [-1.31751789 2.02453673] -2.3308025918822963 ;\n", + "Epoch 70/1000, Cost: 5.6221\n", + " and the parameters are [-1.31752623 2.02477139] -2.3307659050548515 ;\n", + "Epoch 70/1000, Cost: 5.1163\n", + " and the parameters are [-1.31756698 2.02483047] -2.3308338635029155 ;\n", + "Epoch 70/1000, Cost: 6.6781\n", + " and the parameters are [-1.31756213 2.0248052 ] -2.331016420984796 ;\n", + "Epoch 70/1000, Cost: 7.1244\n", + " and the parameters are [-1.31759211 2.02484685] -2.3311336713686193 ;\n", + "Epoch 70/1000, Cost: 6.3142\n", + " and the parameters are [-1.3176028 2.02489272] -2.331255869140334 ;\n", + "Epoch 70/1000, Cost: 8.4211\n", + " and the parameters are [-1.317637 2.0249533] -2.3313540981061296 ;\n", + "Epoch 70/1000, Cost: 6.2627\n", + " and the parameters are [-1.31761853 2.02518052] -2.331322157761248 ;\n", + "Epoch 70/1000, Cost: 6.9482\n", + " and the parameters are [-1.31760273 2.02520811] -2.3314514458411835 ;\n", + "Epoch 70/1000, Cost: 8.0159\n", + " and the parameters are [-1.31759145 2.02524955] -2.3315615776432024 ;\n", + "Epoch 70/1000, Cost: 5.2209\n", + " and the parameters are [-1.31756229 2.02541497] -2.3315885704286914 ;\n", + "Epoch 70/1000, Cost: 5.8921\n", + " and the parameters are [-1.31756477 2.0255652 ] -2.3316270315046688 ;\n", + "Epoch 70/1000, Cost: 6.4641\n", + " and the parameters are [-1.3176723 2.02558823] -2.3317095083657966 ;\n", + "Epoch 70/1000, Cost: 6.8557\n", + " and the parameters are [-1.31770549 2.02572961] -2.3317395890745476 ;\n", + "Epoch 70/1000, Cost: 7.2687\n", + " and the parameters are [-1.31778956 2.02576234] -2.3318576507871596 ;\n", + "Epoch 70/1000, Cost: 7.1411\n", + " and the parameters are [-1.31777821 2.0257357 ] -2.332041403831692 ;\n", + "Epoch 70/1000, Cost: 6.0919\n", + " and the parameters are [-1.3177502 2.02585509] -2.332122393445716 ;\n", + "Epoch 70/1000, Cost: 5.7579\n", + " and the parameters are [-1.31782278 2.02589938] -2.332209552405488 ;\n", + "Epoch 70/1000, Cost: 7.1906\n", + " and the parameters are [-1.31776455 2.02598724] -2.332323308922263 ;\n", + "Epoch 70/1000, Cost: 8.1590\n", + " and the parameters are [-1.31786614 2.02591627] -2.3324606175762015 ;\n", + "Epoch 70/1000, Cost: 9.8618\n", + " and the parameters are [-1.31787799 2.02600546] -2.3325643872793016 ;\n", + "Epoch 70/1000, Cost: 6.8362\n", + " and the parameters are [-1.31795044 2.02614018] -2.3325695491979155 ;\n", + "Epoch 70/1000, Cost: 7.1426\n", + " and the parameters are [-1.318064 2.02631632] -2.332534422003728 ;\n", + "Epoch 70/1000, Cost: 6.2238\n", + " and the parameters are [-1.31804548 2.02631873] -2.332668504787407 ;\n", + "Epoch 70/1000, Cost: 6.0949\n", + " and the parameters are [-1.31813903 2.02639774] -2.332702089765057 ;\n", + "Epoch 70/1000, Cost: 7.3209\n", + " and the parameters are [-1.31824175 2.0263775 ] -2.332829992569073 ;\n", + "Epoch 70/1000, Cost: 5.9991\n", + " and the parameters are [-1.31825294 2.02644697] -2.332899399386876 ;\n", + "Epoch 70/1000, Cost: 10.0904\n", + " and the parameters are [-1.31827253 2.02627394] -2.3331761437061083 ;\n", + "Epoch 70/1000, Cost: 6.1811\n", + " and the parameters are [-1.31834584 2.02638093] -2.3332140546755706 ;\n", + "Epoch 70/1000, Cost: 5.6115\n", + " and the parameters are [-1.31836952 2.02651977] -2.3332403540517728 ;\n", + "Epoch 70/1000, Cost: 6.0481\n", + " and the parameters are [-1.31837473 2.02649726] -2.3334156194842475 ;\n", + "Epoch 70/1000, Cost: 6.3736\n", + " and the parameters are [-1.31842651 2.02660901] -2.333428125664039 ;\n", + "Epoch 70/1000, Cost: 6.4737\n", + " and the parameters are [-1.31840859 2.0267213 ] -2.333525965015629 ;\n", + "Epoch 70/1000, Cost: 6.3867\n", + " and the parameters are [-1.31840196 2.0269595 ] -2.3334852284802685 ;\n", + "Epoch 70/1000, Cost: 9.3874\n", + " and the parameters are [-1.31845085 2.02690191] -2.333611087868184 ;\n", + "Epoch 70/1000, Cost: 4.6560\n", + " and the parameters are [-1.31842811 2.02712247] -2.3335869900864123 ;\n", + "Epoch 70/1000, Cost: 5.9081\n", + " and the parameters are [-1.31851537 2.02726371] -2.333583057955992 ;\n", + "Epoch 70/1000, Cost: 6.3509\n", + " and the parameters are [-1.31862461 2.02727661] -2.3336927834585803 ;\n", + "Epoch 70/1000, Cost: 5.2215\n", + " and the parameters are [-1.31860369 2.02751935] -2.333665784153122 ;\n", + "Epoch 70/1000, Cost: 5.4227\n", + " and the parameters are [-1.31853928 2.02771789] -2.333671730782976 ;\n", + "Epoch 70/1000, Cost: 8.3122\n", + " and the parameters are [-1.31863707 2.02766551] -2.3337635274022315 ;\n", + "Epoch 70/1000, Cost: 5.7926\n", + " and the parameters are [-1.31860942 2.02790619] -2.3337170099188187 ;\n", + "Epoch 70/1000, Cost: 5.7434\n", + " and the parameters are [-1.31866963 2.02801286] -2.333752059685432 ;\n", + "Epoch 70/1000, Cost: 6.9441\n", + " and the parameters are [-1.31876104 2.02800087] -2.3338700747261716 ;\n", + "Epoch 70/1000, Cost: 5.0829\n", + " and the parameters are [-1.3188365 2.02809858] -2.333917245562899 ;\n", + "Epoch 70/1000, Cost: 8.3795\n", + " and the parameters are [-1.31896404 2.02800637] -2.3340531045194144 ;\n", + "Epoch 70/1000, Cost: 9.9139\n", + " and the parameters are [-1.31907297 2.02788368] -2.334179761711518 ;\n", + "Epoch 70/1000, Cost: 7.4357\n", + " and the parameters are [-1.31915443 2.02785613] -2.334318546245128 ;\n", + "Epoch 70/1000, Cost: 6.8237\n", + " and the parameters are [-1.31916631 2.02793146] -2.3343772844466626 ;\n", + "Epoch 70/1000, Cost: 5.5569\n", + " and the parameters are [-1.31920591 2.02796894] -2.33445720080473 ;\n", + "Epoch 70/1000, Cost: 7.4813\n", + " and the parameters are [-1.31918704 2.02802768] -2.3345623742844377 ;\n", + "Epoch 70/1000, Cost: 8.3437\n", + " and the parameters are [-1.31929883 2.02791696] -2.334679330121455 ;\n", + "Epoch 70/1000, Cost: 6.1351\n", + " and the parameters are [-1.3193352 2.02805345] -2.334679573538853 ;\n", + "Epoch 70/1000, Cost: 6.9535\n", + " and the parameters are [-1.31932352 2.02811932] -2.334779883431492 ;\n", + "Epoch 70/1000, Cost: 6.5579\n", + " and the parameters are [-1.31939277 2.02817385] -2.3348864560918265 ;\n", + "Epoch 70/1000, Cost: 5.3318\n", + " and the parameters are [-1.3193243 2.02835002] -2.3349190544974707 ;\n", + "Epoch 70/1000, Cost: 3.8813\n", + " and the parameters are [-1.31933777 2.02842476] -2.3350099828168793 ;\n", + "Epoch 70/1000, Cost: 7.4108\n", + " and the parameters are [-1.31943116 2.02850326] -2.3350554491062994 ;\n", + "Epoch 70/1000, Cost: 4.3819\n", + " and the parameters are [-1.31944946 2.0286296 ] -2.3350993356305954 ;\n", + "Epoch 70/1000, Cost: 7.1726\n", + " and the parameters are [-1.3195389 2.02876323] -2.335070565340938 ;\n", + "Epoch 70/1000, Cost: 4.7640\n", + " and the parameters are [-1.31962921 2.02892295] -2.33504442776651 ;\n", + "Epoch 70/1000, Cost: 6.2817\n", + " and the parameters are [-1.31969725 2.02898136] -2.335107883554889 ;\n", + "Epoch 70/1000, Cost: 7.7885\n", + " and the parameters are [-1.31963235 2.02900097] -2.3352864407259406 ;\n", + "Epoch 70/1000, Cost: 4.9497\n", + " and the parameters are [-1.31966675 2.02908671] -2.335351839912017 ;\n", + "Epoch 70/1000, Cost: 6.1415\n", + " and the parameters are [-1.3198153 2.02908505] -2.335410987592883 ;\n", + "Epoch 70/1000, Cost: 6.3667\n", + " and the parameters are [-1.3198116 2.02920917] -2.335477357971056 ;\n", + "Epoch 70/1000, Cost: 8.3042\n", + " and the parameters are [-1.31981737 2.02930216] -2.3355297387736336 ;\n", + "Epoch 70/1000, Cost: 9.4041\n", + " and the parameters are [-1.31995086 2.02925567] -2.3356118700732096 ;\n", + "Epoch 70/1000, Cost: 6.1284\n", + " and the parameters are [-1.31996623 2.02932324] -2.3356947082241604 ;\n", + "Epoch 70/1000, Cost: 5.5339\n", + " and the parameters are [-1.32002076 2.02941914] -2.335751107776066 ;\n", + "Epoch 70/1000, Cost: 6.6861\n", + " and the parameters are [-1.32009916 2.02939604] -2.3358863634059355 ;\n", + "Epoch 70/1000, Cost: 6.2715\n", + " and the parameters are [-1.32010936 2.02960597] -2.335861586287966 ;\n", + "Epoch 70/1000, Cost: 6.4307\n", + " and the parameters are [-1.32001154 2.02973384] -2.335961451941522 ;\n", + "Epoch 70/1000, Cost: 5.5321\n", + " and the parameters are [-1.32003019 2.0298403 ] -2.3360386433007414 ;\n", + "Epoch 70/1000, Cost: 9.4172\n", + " and the parameters are [-1.32006446 2.02983629] -2.3361300151220856 ;\n", + "Epoch 70/1000, Cost: 12.0345\n", + " and the parameters are [-1.32006581 2.02983994] -2.336222161361538 ;\n", + "Epoch 70/1000, Cost: 6.9383\n", + " and the parameters are [-1.32011297 2.02980598] -2.3363580741918653 ;\n", + "Epoch 70/1000, Cost: 7.7099\n", + " and the parameters are [-1.32022473 2.02977 ] -2.336503772518642 ;\n", + "Epoch 70/1000, Cost: 5.5266\n", + " and the parameters are [-1.32020864 2.02997781] -2.3365111431716 ;\n", + "Epoch 70/1000, Cost: 8.9647\n", + " and the parameters are [-1.32024917 2.03006706] -2.336577280827278 ;\n", + "Epoch 70/1000, Cost: 4.8602\n", + " and the parameters are [-1.32017741 2.030142 ] -2.3367092781043963 ;\n", + "Epoch 70/1000, Cost: 7.3295\n", + " and the parameters are [-1.32014059 2.03017907] -2.336859694270377 ;\n", + "Epoch 70/1000, Cost: 6.0209\n", + " and the parameters are [-1.32027905 2.03014992] -2.336952330244253 ;\n", + "Epoch 70/1000, Cost: 6.0448\n", + " and the parameters are [-1.32029864 2.03011264] -2.3371213657434162 ;\n", + "Epoch 70/1000, Cost: 4.6877\n", + " and the parameters are [-1.32038083 2.03023966] -2.33712460832587 ;\n", + "Epoch 70/1000, Cost: 5.6502\n", + " and the parameters are [-1.32043856 2.0302912 ] -2.3372136228626945 ;\n", + "Epoch 70/1000, Cost: 6.4420\n", + " and the parameters are [-1.32054172 2.030458 ] -2.337178736525628 ;\n", + "Epoch 70/1000, Cost: 6.7974\n", + " and the parameters are [-1.32068483 2.03042054] -2.3372743821346753 ;\n", + "Epoch 70/1000, Cost: 7.4119\n", + " and the parameters are [-1.32074523 2.03044251] -2.337348889149348 ;\n", + "Epoch 70/1000, Cost: 4.8937\n", + " and the parameters are [-1.32068661 2.03051402] -2.3374451289602685 ;\n", + "Epoch 70/1000, Cost: 8.1310\n", + " and the parameters are [-1.32076239 2.03047293] -2.3376019119178086 ;\n", + "Epoch 70/1000, Cost: 7.9082\n", + " and the parameters are [-1.32069742 2.03060669] -2.3376674882612996 ;\n", + "Epoch 80/1000, Cost: 8.0636\n", + " and the parameters are [-1.3986448 2.11994003] -2.4753292116439516 ;\n", + "Epoch 80/1000, Cost: 9.5464\n", + " and the parameters are [-1.39882991 2.11966324] -2.475572395535527 ;\n", + "Epoch 80/1000, Cost: 6.3361\n", + " and the parameters are [-1.39884945 2.11975296] -2.4756108074053707 ;\n", + "Epoch 80/1000, Cost: 6.7041\n", + " and the parameters are [-1.39895447 2.11973241] -2.475692595776972 ;\n", + "Epoch 80/1000, Cost: 7.3158\n", + " and the parameters are [-1.39900448 2.1196722 ] -2.4758320133155545 ;\n", + "Epoch 80/1000, Cost: 5.2546\n", + " and the parameters are [-1.3989608 2.11974126] -2.4759469117839688 ;\n", + "Epoch 80/1000, Cost: 7.0664\n", + " and the parameters are [-1.3990207 2.11975371] -2.476044480121831 ;\n", + "Epoch 80/1000, Cost: 6.5417\n", + " and the parameters are [-1.39903956 2.11988724] -2.476069902665854 ;\n", + "Epoch 80/1000, Cost: 5.4501\n", + " and the parameters are [-1.39902765 2.1199645 ] -2.476129102512643 ;\n", + "Epoch 80/1000, Cost: 7.3960\n", + " and the parameters are [-1.39910043 2.11988419] -2.476301444709348 ;\n", + "Epoch 80/1000, Cost: 6.3081\n", + " and the parameters are [-1.39913793 2.11984064] -2.4764493950727235 ;\n", + "Epoch 80/1000, Cost: 7.3347\n", + " and the parameters are [-1.39910621 2.11995069] -2.476513250034364 ;\n", + "Epoch 80/1000, Cost: 7.5830\n", + " and the parameters are [-1.39915316 2.11990536] -2.4766751244326257 ;\n", + "Epoch 80/1000, Cost: 6.0145\n", + " and the parameters are [-1.39925072 2.11989886] -2.476772909695178 ;\n", + "Epoch 80/1000, Cost: 5.1419\n", + " and the parameters are [-1.39920056 2.11995191] -2.4768819139696916 ;\n", + "Epoch 80/1000, Cost: 3.8134\n", + " and the parameters are [-1.39919191 2.12017249] -2.476839542889583 ;\n", + "Epoch 80/1000, Cost: 7.0954\n", + " and the parameters are [-1.39930593 2.12004217] -2.477014397421158 ;\n", + "Epoch 80/1000, Cost: 5.4571\n", + " and the parameters are [-1.39929406 2.12017491] -2.4770610515613702 ;\n", + "Epoch 80/1000, Cost: 6.5917\n", + " and the parameters are [-1.39945907 2.12013995] -2.4771454143932026 ;\n", + "Epoch 80/1000, Cost: 7.2164\n", + " and the parameters are [-1.39950418 2.12013352] -2.4772803054874672 ;\n", + "Epoch 80/1000, Cost: 7.1929\n", + " and the parameters are [-1.3995547 2.12019527] -2.4773500826563755 ;\n", + "Epoch 80/1000, Cost: 5.9970\n", + " and the parameters are [-1.39967493 2.12027067] -2.477372681396488 ;\n", + "Epoch 80/1000, Cost: 5.8415\n", + " and the parameters are [-1.39980144 2.12016156] -2.477502331627425 ;\n", + "Epoch 80/1000, Cost: 10.2683\n", + " and the parameters are [-1.39994543 2.11991049] -2.47776147796995 ;\n", + "Epoch 80/1000, Cost: 7.8279\n", + " and the parameters are [-1.40000012 2.11975935] -2.4779974086005385 ;\n", + "Epoch 80/1000, Cost: 6.3960\n", + " and the parameters are [-1.4000803 2.11980021] -2.478061192757336 ;\n", + "Epoch 80/1000, Cost: 5.0706\n", + " and the parameters are [-1.4002063 2.11971989] -2.4781914393337656 ;\n", + "Epoch 80/1000, Cost: 5.8354\n", + " and the parameters are [-1.40028346 2.11972985] -2.4782905375231863 ;\n", + "Epoch 80/1000, Cost: 6.6816\n", + " and the parameters are [-1.40026895 2.11975865] -2.478411140895425 ;\n", + "Epoch 80/1000, Cost: 6.0506\n", + " and the parameters are [-1.40037739 2.11972835] -2.47851989005599 ;\n", + "Epoch 80/1000, Cost: 5.6248\n", + " and the parameters are [-1.40042119 2.11981261] -2.4785616941047084 ;\n", + "Epoch 80/1000, Cost: 6.5670\n", + " and the parameters are [-1.40042323 2.11992435] -2.4786464743015886 ;\n", + "Epoch 80/1000, Cost: 7.2414\n", + " and the parameters are [-1.40047021 2.11990575] -2.4787798064708464 ;\n", + "Epoch 80/1000, Cost: 9.5130\n", + " and the parameters are [-1.40066734 2.11981962] -2.4788784718251087 ;\n", + "Epoch 80/1000, Cost: 6.7272\n", + " and the parameters are [-1.40067243 2.11986295] -2.4789676197165793 ;\n", + "Epoch 80/1000, Cost: 4.0188\n", + " and the parameters are [-1.40072299 2.11996376] -2.4789796866769174 ;\n", + "Epoch 80/1000, Cost: 5.5039\n", + " and the parameters are [-1.40076391 2.12004494] -2.4790311069441784 ;\n", + "Epoch 80/1000, Cost: 4.6457\n", + " and the parameters are [-1.40074067 2.12023345] -2.4790216243684173 ;\n", + "Epoch 80/1000, Cost: 6.4694\n", + " and the parameters are [-1.40075904 2.12020902] -2.479142015845154 ;\n", + "Epoch 80/1000, Cost: 6.2943\n", + " and the parameters are [-1.40085764 2.12021148] -2.479202309186707 ;\n", + "Epoch 80/1000, Cost: 8.6464\n", + " and the parameters are [-1.4010627 2.12008283] -2.4793040420236685 ;\n", + "Epoch 80/1000, Cost: 5.6752\n", + " and the parameters are [-1.401121 2.12008227] -2.479430955331959 ;\n", + "Epoch 80/1000, Cost: 5.7361\n", + " and the parameters are [-1.40114524 2.12011738] -2.4795109851293873 ;\n", + "Epoch 80/1000, Cost: 6.3714\n", + " and the parameters are [-1.40128465 2.12009984] -2.479601686006523 ;\n", + "Epoch 80/1000, Cost: 4.5867\n", + " and the parameters are [-1.40135986 2.1202626 ] -2.479561923832924 ;\n", + "Epoch 80/1000, Cost: 4.3138\n", + " and the parameters are [-1.40146673 2.12037411] -2.479548837238962 ;\n", + "Epoch 80/1000, Cost: 4.4525\n", + " and the parameters are [-1.40148621 2.12056533] -2.479520862702524 ;\n", + "Epoch 80/1000, Cost: 3.9870\n", + " and the parameters are [-1.40153114 2.12067615] -2.4795452080271576 ;\n", + "Epoch 80/1000, Cost: 7.1384\n", + " and the parameters are [-1.40155014 2.12059706] -2.479704700313295 ;\n", + "Epoch 80/1000, Cost: 7.3278\n", + " and the parameters are [-1.40161223 2.12050928] -2.4798607935064965 ;\n", + "Epoch 80/1000, Cost: 6.9930\n", + " and the parameters are [-1.40168935 2.12045764] -2.4799977956173906 ;\n", + "Epoch 80/1000, Cost: 5.1054\n", + " and the parameters are [-1.40173404 2.12052689] -2.4800557531755185 ;\n", + "Epoch 80/1000, Cost: 6.3249\n", + " and the parameters are [-1.40174399 2.12056236] -2.4801544380750866 ;\n", + "Epoch 80/1000, Cost: 5.5088\n", + " and the parameters are [-1.40171222 2.12060285] -2.4802806050400066 ;\n", + "Epoch 80/1000, Cost: 5.5959\n", + " and the parameters are [-1.40165652 2.12063967] -2.4803983534769167 ;\n", + "Epoch 80/1000, Cost: 5.1052\n", + " and the parameters are [-1.4016149 2.12081131] -2.480440443217712 ;\n", + "Epoch 80/1000, Cost: 4.3706\n", + " and the parameters are [-1.40161448 2.12095963] -2.480461154365712 ;\n", + "Epoch 80/1000, Cost: 6.8136\n", + " and the parameters are [-1.40164218 2.12118851] -2.4804140764108493 ;\n", + "Epoch 80/1000, Cost: 6.4694\n", + " and the parameters are [-1.4016858 2.12108215] -2.48061019944971 ;\n", + "Epoch 80/1000, Cost: 8.9312\n", + " and the parameters are [-1.40166528 2.12122545] -2.480588866007672 ;\n", + "Epoch 80/1000, Cost: 4.1135\n", + " and the parameters are [-1.40167358 2.12150037] -2.480493045384221 ;\n", + "Epoch 80/1000, Cost: 4.7009\n", + " and the parameters are [-1.4016611 2.12169278] -2.480478171911254 ;\n", + "Epoch 80/1000, Cost: 7.8966\n", + " and the parameters are [-1.40160559 2.12180564] -2.480530611627326 ;\n", + "Epoch 80/1000, Cost: 7.7010\n", + " and the parameters are [-1.40165308 2.12181041] -2.480657157012747 ;\n", + "Epoch 80/1000, Cost: 7.3097\n", + " and the parameters are [-1.40175835 2.1218138 ] -2.480721281773854 ;\n", + "Epoch 80/1000, Cost: 4.3965\n", + " and the parameters are [-1.40176792 2.12186371] -2.4808043382578364 ;\n", + "Epoch 80/1000, Cost: 8.7017\n", + " and the parameters are [-1.40176532 2.12193617] -2.48084234669551 ;\n", + "Epoch 80/1000, Cost: 6.1713\n", + " and the parameters are [-1.40176696 2.1220239 ] -2.480899268511715 ;\n", + "Epoch 80/1000, Cost: 7.2248\n", + " and the parameters are [-1.40170049 2.12216747] -2.4809541478791557 ;\n", + "Epoch 80/1000, Cost: 6.4505\n", + " and the parameters are [-1.40170066 2.12214826] -2.481091789807134 ;\n", + "Epoch 80/1000, Cost: 4.2252\n", + " and the parameters are [-1.40172402 2.12225285] -2.4811403459378094 ;\n", + "Epoch 80/1000, Cost: 6.6712\n", + " and the parameters are [-1.40183952 2.12234095] -2.4811533627025306 ;\n", + "Epoch 80/1000, Cost: 5.5118\n", + " and the parameters are [-1.40188434 2.12246077] -2.4811495031186137 ;\n", + "Epoch 80/1000, Cost: 5.5244\n", + " and the parameters are [-1.40186471 2.12255451] -2.4812239254891915 ;\n", + "Epoch 80/1000, Cost: 8.8523\n", + " and the parameters are [-1.40198149 2.12249968] -2.481302631133048 ;\n", + "Epoch 80/1000, Cost: 6.4322\n", + " and the parameters are [-1.40190062 2.12260743] -2.4813873845679555 ;\n", + "Epoch 80/1000, Cost: 4.8045\n", + " and the parameters are [-1.40198115 2.12265431] -2.48140990809398 ;\n", + "Epoch 80/1000, Cost: 9.3321\n", + " and the parameters are [-1.40208961 2.12252029] -2.4815775538643576 ;\n", + "Epoch 80/1000, Cost: 7.5722\n", + " and the parameters are [-1.40202662 2.12269444] -2.4816090154435586 ;\n", + "Epoch 80/1000, Cost: 7.5073\n", + " and the parameters are [-1.40218154 2.1225493 ] -2.4817326578652694 ;\n", + "Epoch 80/1000, Cost: 7.6799\n", + " and the parameters are [-1.40239493 2.12231263] -2.4819300012897907 ;\n", + "Epoch 80/1000, Cost: 3.4741\n", + " and the parameters are [-1.40241165 2.12248273] -2.481895695678701 ;\n", + "Epoch 80/1000, Cost: 6.2563\n", + " and the parameters are [-1.40240385 2.12250336] -2.482024162791047 ;\n", + "Epoch 80/1000, Cost: 5.0577\n", + " and the parameters are [-1.40238009 2.12258159] -2.482104597823828 ;\n", + "Epoch 80/1000, Cost: 5.5004\n", + " and the parameters are [-1.40230036 2.12275892] -2.482124050242023 ;\n", + "Epoch 80/1000, Cost: 3.6914\n", + " and the parameters are [-1.40228682 2.12287093] -2.482171927907248 ;\n", + "Epoch 80/1000, Cost: 4.4393\n", + " and the parameters are [-1.4022743 2.12298121] -2.4822237575570036 ;\n", + "Epoch 80/1000, Cost: 5.7240\n", + " and the parameters are [-1.40230141 2.12300768] -2.482340661724533 ;\n", + "Epoch 80/1000, Cost: 5.4918\n", + " and the parameters are [-1.40233248 2.12316242] -2.482341228439993 ;\n", + "Epoch 80/1000, Cost: 5.7689\n", + " and the parameters are [-1.40239343 2.12317787] -2.482421077971048 ;\n", + "Epoch 80/1000, Cost: 4.8369\n", + " and the parameters are [-1.40248984 2.12319813] -2.4825088981070063 ;\n", + "Epoch 80/1000, Cost: 3.8177\n", + " and the parameters are [-1.40250511 2.12332377] -2.4825384564157096 ;\n", + "Epoch 80/1000, Cost: 4.5733\n", + " and the parameters are [-1.40251488 2.12344926] -2.4825898018245804 ;\n", + "Epoch 80/1000, Cost: 6.3030\n", + " and the parameters are [-1.40257488 2.12341285] -2.4827207301721432 ;\n", + "Epoch 80/1000, Cost: 6.2372\n", + " and the parameters are [-1.40258314 2.12348181] -2.482799164944043 ;\n", + "Epoch 80/1000, Cost: 6.1975\n", + " and the parameters are [-1.40271648 2.12344931] -2.482879569196504 ;\n", + "Epoch 80/1000, Cost: 5.3189\n", + " and the parameters are [-1.4027001 2.12354027] -2.482980313841965 ;\n", + "Epoch 80/1000, Cost: 5.3433\n", + " and the parameters are [-1.40276662 2.12355989] -2.483091379437029 ;\n", + "Epoch 80/1000, Cost: 6.5270\n", + " and the parameters are [-1.40287412 2.12355794] -2.483175931690949 ;\n", + "Epoch 80/1000, Cost: 5.8405\n", + " and the parameters are [-1.40293659 2.12356679] -2.483281078270495 ;\n", + "Epoch 80/1000, Cost: 6.4706\n", + " and the parameters are [-1.40294945 2.12364216] -2.4833521898291426 ;\n", + "Epoch 80/1000, Cost: 5.5208\n", + " and the parameters are [-1.4028987 2.12381046] -2.483367518703502 ;\n", + "Epoch 80/1000, Cost: 6.9999\n", + " and the parameters are [-1.40291988 2.12392899] -2.4834159145613715 ;\n", + "Epoch 80/1000, Cost: 4.6563\n", + " and the parameters are [-1.40293286 2.12408113] -2.4834325898033893 ;\n", + "Epoch 80/1000, Cost: 4.9446\n", + " and the parameters are [-1.40299613 2.12407755] -2.4835303077887936 ;\n", + "Epoch 80/1000, Cost: 7.7239\n", + " and the parameters are [-1.40300892 2.12414252] -2.483614343518058 ;\n", + "Epoch 80/1000, Cost: 9.1316\n", + " and the parameters are [-1.40296265 2.1242998 ] -2.4836144823932598 ;\n", + "Epoch 80/1000, Cost: 6.9878\n", + " and the parameters are [-1.4031196 2.12417356] -2.4837628017433757 ;\n", + "Epoch 80/1000, Cost: 5.6670\n", + " and the parameters are [-1.40306975 2.12416849] -2.4838889176292622 ;\n", + "Epoch 80/1000, Cost: 9.4488\n", + " and the parameters are [-1.40326371 2.12403776] -2.4839874201461063 ;\n", + "Epoch 80/1000, Cost: 7.4999\n", + " and the parameters are [-1.40344427 2.12382821] -2.4841752914067885 ;\n", + "Epoch 80/1000, Cost: 7.0298\n", + " and the parameters are [-1.40348191 2.12390574] -2.4842141931755433 ;\n", + "Epoch 80/1000, Cost: 6.0390\n", + " and the parameters are [-1.40343779 2.12401977] -2.4842796829320286 ;\n", + "Epoch 80/1000, Cost: 7.2079\n", + " and the parameters are [-1.40341587 2.124024 ] -2.484448534948588 ;\n", + "Epoch 80/1000, Cost: 4.7502\n", + " and the parameters are [-1.40344012 2.12426393] -2.4843908734651747 ;\n", + "Epoch 80/1000, Cost: 6.1597\n", + " and the parameters are [-1.40349435 2.1242903 ] -2.484470086471227 ;\n", + "Epoch 80/1000, Cost: 7.3101\n", + " and the parameters are [-1.40356682 2.12420502] -2.484646054384166 ;\n", + "Epoch 80/1000, Cost: 6.3872\n", + " and the parameters are [-1.40358439 2.12421153] -2.4847515153148008 ;\n", + "Epoch 80/1000, Cost: 6.2975\n", + " and the parameters are [-1.40365188 2.12415515] -2.4848650052297923 ;\n", + "Epoch 80/1000, Cost: 5.5321\n", + " and the parameters are [-1.40363676 2.1241235 ] -2.4850077370001853 ;\n", + "Epoch 80/1000, Cost: 5.9802\n", + " and the parameters are [-1.40363868 2.12417396] -2.485119162487431 ;\n", + "Epoch 80/1000, Cost: 5.0709\n", + " and the parameters are [-1.40368064 2.12423471] -2.4851914440552076 ;\n", + "Epoch 80/1000, Cost: 4.7032\n", + " and the parameters are [-1.40370595 2.1244208 ] -2.485163670060868 ;\n", + "Epoch 80/1000, Cost: 4.7424\n", + " and the parameters are [-1.40372642 2.12457321] -2.485143586925507 ;\n", + "Epoch 80/1000, Cost: 5.1560\n", + " and the parameters are [-1.40376423 2.12469444] -2.485158940107454 ;\n", + "Epoch 80/1000, Cost: 7.4797\n", + " and the parameters are [-1.40396776 2.1247549 ] -2.48513497138976 ;\n", + "Epoch 80/1000, Cost: 5.4915\n", + " and the parameters are [-1.40391586 2.12487747] -2.485207732945 ;\n", + "Epoch 80/1000, Cost: 7.5384\n", + " and the parameters are [-1.40393783 2.12483454] -2.4853398185479194 ;\n", + "Epoch 80/1000, Cost: 6.5088\n", + " and the parameters are [-1.40397861 2.12484991] -2.4854697817144498 ;\n", + "Epoch 80/1000, Cost: 3.6434\n", + " and the parameters are [-1.40396886 2.12500042] -2.4854878353647227 ;\n", + "Epoch 80/1000, Cost: 7.4313\n", + " and the parameters are [-1.40407442 2.12507001] -2.48547225015919 ;\n", + "Epoch 80/1000, Cost: 4.4737\n", + " and the parameters are [-1.40412872 2.1251095 ] -2.4855236169868333 ;\n", + "Epoch 80/1000, Cost: 5.2608\n", + " and the parameters are [-1.40420606 2.12524247] -2.485508039715132 ;\n", + "Epoch 80/1000, Cost: 7.3557\n", + " and the parameters are [-1.40429506 2.12538654] -2.485464766471455 ;\n", + "Epoch 80/1000, Cost: 7.0019\n", + " and the parameters are [-1.40427886 2.12562395] -2.4853966607380884 ;\n", + "Epoch 80/1000, Cost: 6.7759\n", + " and the parameters are [-1.40435592 2.12568743] -2.4854322433448877 ;\n", + "Epoch 80/1000, Cost: 5.5195\n", + " and the parameters are [-1.40435022 2.12576622] -2.4855237281406217 ;\n", + "Epoch 80/1000, Cost: 4.9926\n", + " and the parameters are [-1.40436499 2.125862 ] -2.4855820443581704 ;\n", + "Epoch 80/1000, Cost: 4.7133\n", + " and the parameters are [-1.40434501 2.12590278] -2.4856854834045508 ;\n", + "Epoch 80/1000, Cost: 7.7589\n", + " and the parameters are [-1.40438892 2.12583104] -2.4858660410606372 ;\n", + "Epoch 80/1000, Cost: 6.8378\n", + " and the parameters are [-1.4044485 2.12575939] -2.4860394200223186 ;\n", + "Epoch 80/1000, Cost: 6.8693\n", + " and the parameters are [-1.4044662 2.12582463] -2.4861247904679598 ;\n", + "Epoch 80/1000, Cost: 5.8669\n", + " and the parameters are [-1.40455247 2.1257805 ] -2.486244835680382 ;\n", + "Epoch 80/1000, Cost: 5.9609\n", + " and the parameters are [-1.40460412 2.12580429] -2.4863227675575788 ;\n", + "Epoch 80/1000, Cost: 7.0113\n", + " and the parameters are [-1.40457659 2.12578398] -2.4864896781881693 ;\n", + "Epoch 80/1000, Cost: 8.3706\n", + " and the parameters are [-1.40460034 2.12589692] -2.4864932080507773 ;\n", + "Epoch 80/1000, Cost: 6.2813\n", + " and the parameters are [-1.40470113 2.12608247] -2.486407810857575 ;\n", + "Epoch 80/1000, Cost: 5.8105\n", + " and the parameters are [-1.40464974 2.12635646] -2.486308902092626 ;\n", + "Epoch 80/1000, Cost: 7.4505\n", + " and the parameters are [-1.40478285 2.12634058] -2.486393447705625 ;\n", + "Epoch 80/1000, Cost: 4.4841\n", + " and the parameters are [-1.40477464 2.12641123] -2.486477873789915 ;\n", + "Epoch 80/1000, Cost: 6.6531\n", + " and the parameters are [-1.40482762 2.12651888] -2.4865182976440545 ;\n", + "Epoch 80/1000, Cost: 5.1641\n", + " and the parameters are [-1.40479457 2.12655964] -2.486627605999832 ;\n", + "Epoch 80/1000, Cost: 4.8908\n", + " and the parameters are [-1.40485705 2.1266815 ] -2.4866344303221433 ;\n", + "Epoch 80/1000, Cost: 4.1873\n", + " and the parameters are [-1.4048728 2.12685965] -2.486609985585243 ;\n", + "Epoch 80/1000, Cost: 6.2832\n", + " and the parameters are [-1.40491024 2.12692466] -2.486688195055942 ;\n", + "Epoch 80/1000, Cost: 5.9843\n", + " and the parameters are [-1.40483204 2.12712986] -2.486719094822734 ;\n", + "Epoch 80/1000, Cost: 5.3365\n", + " and the parameters are [-1.40483618 2.12713751] -2.486820265671997 ;\n", + "Epoch 80/1000, Cost: 6.7367\n", + " and the parameters are [-1.4047871 2.1273241] -2.4868475225310904 ;\n", + "Epoch 80/1000, Cost: 5.6628\n", + " and the parameters are [-1.40484493 2.12745201] -2.486863996922455 ;\n", + "Epoch 80/1000, Cost: 7.8040\n", + " and the parameters are [-1.40490393 2.12734433] -2.487077020886898 ;\n", + "Epoch 80/1000, Cost: 6.5875\n", + " and the parameters are [-1.40503407 2.12734901] -2.4871324812342386 ;\n", + "Epoch 80/1000, Cost: 4.9575\n", + " and the parameters are [-1.40505094 2.12744998] -2.487181140980997 ;\n", + "Epoch 80/1000, Cost: 8.4361\n", + " and the parameters are [-1.40504574 2.12748466] -2.4872784177232043 ;\n", + "Epoch 80/1000, Cost: 7.3291\n", + " and the parameters are [-1.40494715 2.12762822] -2.4873652948471503 ;\n", + "Epoch 80/1000, Cost: 9.9387\n", + " and the parameters are [-1.40514118 2.12740636] -2.4875663047941416 ;\n", + "Epoch 80/1000, Cost: 7.3854\n", + " and the parameters are [-1.40521478 2.1274145 ] -2.4876520452329065 ;\n", + "Epoch 80/1000, Cost: 5.6215\n", + " and the parameters are [-1.40525325 2.12753478] -2.487668557916571 ;\n", + "Epoch 80/1000, Cost: 5.2750\n", + " and the parameters are [-1.40527673 2.12763411] -2.48770057559215 ;\n", + "Epoch 80/1000, Cost: 6.8663\n", + " and the parameters are [-1.40536364 2.12777022] -2.487684771866968 ;\n", + "Epoch 80/1000, Cost: 6.4834\n", + " and the parameters are [-1.40547112 2.1277159 ] -2.4878226298632176 ;\n", + "Epoch 80/1000, Cost: 5.2569\n", + " and the parameters are [-1.40543284 2.12790568] -2.4878219306263696 ;\n", + "Epoch 80/1000, Cost: 5.9194\n", + " and the parameters are [-1.40549593 2.12794645] -2.4879162865201185 ;\n", + "Epoch 80/1000, Cost: 7.0337\n", + " and the parameters are [-1.40552436 2.12801447] -2.4879548279200763 ;\n", + "Epoch 80/1000, Cost: 7.2455\n", + " and the parameters are [-1.40549744 2.1282118 ] -2.4879309404797305 ;\n", + "Epoch 80/1000, Cost: 5.0500\n", + " and the parameters are [-1.40554633 2.12828855] -2.4879839901039937 ;\n", + "Epoch 80/1000, Cost: 7.8169\n", + " and the parameters are [-1.40563868 2.12826274] -2.4880892010395304 ;\n", + "Epoch 80/1000, Cost: 6.9161\n", + " and the parameters are [-1.40571995 2.12817488] -2.488249851794546 ;\n", + "Epoch 80/1000, Cost: 8.3451\n", + " and the parameters are [-1.40562189 2.12826569] -2.488343250826456 ;\n", + "Epoch 80/1000, Cost: 5.8655\n", + " and the parameters are [-1.40560718 2.12828617] -2.488459181136346 ;\n", + "Epoch 80/1000, Cost: 6.5389\n", + " and the parameters are [-1.40564248 2.12847712] -2.488407072183104 ;\n", + "Epoch 80/1000, Cost: 4.3781\n", + " and the parameters are [-1.40561495 2.12862801] -2.4884397395788374 ;\n", + "Epoch 80/1000, Cost: 7.2324\n", + " and the parameters are [-1.40563855 2.12859177] -2.488611667505317 ;\n", + "Epoch 80/1000, Cost: 6.0166\n", + " and the parameters are [-1.40569458 2.12865983] -2.4886520696198637 ;\n", + "Epoch 80/1000, Cost: 5.2645\n", + " and the parameters are [-1.40578482 2.12860801] -2.488749211667528 ;\n", + "Epoch 80/1000, Cost: 6.9707\n", + " and the parameters are [-1.40586161 2.12852295] -2.488928263588516 ;\n", + "Epoch 80/1000, Cost: 7.1037\n", + " and the parameters are [-1.40587518 2.12865181] -2.4889555579676395 ;\n", + "Epoch 80/1000, Cost: 5.1425\n", + " and the parameters are [-1.40595424 2.12868367] -2.4890299394277107 ;\n", + "Epoch 80/1000, Cost: 6.1190\n", + " and the parameters are [-1.40607708 2.12871898] -2.4890644438949043 ;\n", + "Epoch 80/1000, Cost: 6.7380\n", + " and the parameters are [-1.40618961 2.12871375] -2.4891324280964744 ;\n", + "Epoch 80/1000, Cost: 7.2081\n", + " and the parameters are [-1.40629093 2.12885516] -2.4890790541309933 ;\n", + "Epoch 80/1000, Cost: 8.2013\n", + " and the parameters are [-1.40639369 2.12875182] -2.4892636357204423 ;\n", + "Epoch 80/1000, Cost: 4.6469\n", + " and the parameters are [-1.40644155 2.12881211] -2.489313808058464 ;\n", + "Epoch 80/1000, Cost: 7.6148\n", + " and the parameters are [-1.40654269 2.12877407] -2.489442088873096 ;\n", + "Epoch 80/1000, Cost: 7.0697\n", + " and the parameters are [-1.40653435 2.1288549 ] -2.4894982523315874 ;\n", + "Epoch 80/1000, Cost: 7.5625\n", + " and the parameters are [-1.40650724 2.1289201 ] -2.4895534602975355 ;\n", + "Epoch 80/1000, Cost: 4.1253\n", + " and the parameters are [-1.40648037 2.12909032] -2.489565519438439 ;\n", + "Epoch 80/1000, Cost: 8.5318\n", + " and the parameters are [-1.40655121 2.12908435] -2.4896724111166395 ;\n", + "Epoch 80/1000, Cost: 6.8009\n", + " and the parameters are [-1.40669254 2.1290903 ] -2.4896964733467084 ;\n", + "Epoch 80/1000, Cost: 6.4979\n", + " and the parameters are [-1.40669941 2.12916417] -2.4897813988226027 ;\n", + "Epoch 80/1000, Cost: 4.9332\n", + " and the parameters are [-1.40679855 2.12941712] -2.4896568890557336 ;\n", + "Epoch 90/1000, Cost: 7.6284\n", + " and the parameters are [-1.47685093 2.21027771] -2.6134299365728526 ;\n", + "Epoch 90/1000, Cost: 2.7737\n", + " and the parameters are [-1.47693859 2.21034672] -2.6134304555761156 ;\n", + "Epoch 90/1000, Cost: 4.6256\n", + " and the parameters are [-1.47695813 2.21046461] -2.6134505243927952 ;\n", + "Epoch 90/1000, Cost: 5.3420\n", + " and the parameters are [-1.47692417 2.21062883] -2.61347203145185 ;\n", + "Epoch 90/1000, Cost: 5.8277\n", + " and the parameters are [-1.47710158 2.21058731] -2.6135154123399724 ;\n", + "Epoch 90/1000, Cost: 5.5216\n", + " and the parameters are [-1.477151 2.21063393] -2.61355074430228 ;\n", + "Epoch 90/1000, Cost: 8.0958\n", + " and the parameters are [-1.47723737 2.21046198] -2.613765207375778 ;\n", + "Epoch 90/1000, Cost: 8.3046\n", + " and the parameters are [-1.47733912 2.21040268] -2.6138666071216323 ;\n", + "Epoch 90/1000, Cost: 6.5570\n", + " and the parameters are [-1.47741954 2.21040502] -2.6139667412281793 ;\n", + "Epoch 90/1000, Cost: 6.6196\n", + " and the parameters are [-1.47748368 2.21046168] -2.6139999729494465 ;\n", + "Epoch 90/1000, Cost: 4.9030\n", + " and the parameters are [-1.47753223 2.21044561] -2.614110236022849 ;\n", + "Epoch 90/1000, Cost: 7.6145\n", + " and the parameters are [-1.47760891 2.21046293] -2.6141613937269965 ;\n", + "Epoch 90/1000, Cost: 6.2839\n", + " and the parameters are [-1.47764088 2.21053848] -2.6142322948932684 ;\n", + "Epoch 90/1000, Cost: 4.5752\n", + " and the parameters are [-1.47770053 2.21060889] -2.6142790163185263 ;\n", + "Epoch 90/1000, Cost: 8.4869\n", + " and the parameters are [-1.47775633 2.21051497] -2.614448272476933 ;\n", + "Epoch 90/1000, Cost: 5.9122\n", + " and the parameters are [-1.47786131 2.2105109 ] -2.614516619404886 ;\n", + "Epoch 90/1000, Cost: 4.0110\n", + " and the parameters are [-1.47791188 2.21049457] -2.6146300557952595 ;\n", + "Epoch 90/1000, Cost: 7.8021\n", + " and the parameters are [-1.47800793 2.21044401] -2.6147111148747304 ;\n", + "Epoch 90/1000, Cost: 6.9323\n", + " and the parameters are [-1.4780272 2.21037826] -2.6148686235825003 ;\n", + "Epoch 90/1000, Cost: 6.4123\n", + " and the parameters are [-1.47802424 2.21042286] -2.6149718170345517 ;\n", + "Epoch 90/1000, Cost: 5.4961\n", + " and the parameters are [-1.47801873 2.21048986] -2.6150362551559887 ;\n", + "Epoch 90/1000, Cost: 4.4221\n", + " and the parameters are [-1.47806926 2.21062333] -2.615026569362617 ;\n", + "Epoch 90/1000, Cost: 8.6886\n", + " and the parameters are [-1.47820748 2.21044012] -2.615166140646548 ;\n", + "Epoch 90/1000, Cost: 8.2431\n", + " and the parameters are [-1.47833231 2.210229 ] -2.6153288680425746 ;\n", + "Epoch 90/1000, Cost: 5.5075\n", + " and the parameters are [-1.47828368 2.21035906] -2.6153775398754036 ;\n", + "Epoch 90/1000, Cost: 3.9377\n", + " and the parameters are [-1.47831123 2.210375 ] -2.6154629182419775 ;\n", + "Epoch 90/1000, Cost: 5.1905\n", + " and the parameters are [-1.47831548 2.210385 ] -2.615566131399504 ;\n", + "Epoch 90/1000, Cost: 4.4583\n", + " and the parameters are [-1.47828152 2.21057036] -2.61553817924422 ;\n", + "Epoch 90/1000, Cost: 4.1451\n", + " and the parameters are [-1.47841603 2.21048795] -2.6156441426139216 ;\n", + "Epoch 90/1000, Cost: 5.6162\n", + " and the parameters are [-1.47846871 2.21048858] -2.6156976683782034 ;\n", + "Epoch 90/1000, Cost: 6.6840\n", + " and the parameters are [-1.47850154 2.21054374] -2.6157371057555734 ;\n", + "Epoch 90/1000, Cost: 3.3895\n", + " and the parameters are [-1.47847633 2.21073288] -2.61572219131369 ;\n", + "Epoch 90/1000, Cost: 7.1011\n", + " and the parameters are [-1.47847575 2.2107254 ] -2.6158388402736286 ;\n", + "Epoch 90/1000, Cost: 7.0359\n", + " and the parameters are [-1.47853433 2.21064987] -2.6159703943158448 ;\n", + "Epoch 90/1000, Cost: 4.4081\n", + " and the parameters are [-1.47856014 2.21066886] -2.616061590685964 ;\n", + "Epoch 90/1000, Cost: 7.9996\n", + " and the parameters are [-1.47848994 2.21063196] -2.6162180142871563 ;\n", + "Epoch 90/1000, Cost: 6.5944\n", + " and the parameters are [-1.47866947 2.21052862] -2.616356127657618 ;\n", + "Epoch 90/1000, Cost: 4.2213\n", + " and the parameters are [-1.4786454 2.2107292] -2.6163292678062318 ;\n", + "Epoch 90/1000, Cost: 6.2215\n", + " and the parameters are [-1.47869637 2.21073538] -2.6164050108672776 ;\n", + "Epoch 90/1000, Cost: 9.1963\n", + " and the parameters are [-1.47871286 2.21063542] -2.6165831144184772 ;\n", + "Epoch 90/1000, Cost: 5.5208\n", + " and the parameters are [-1.47875123 2.2107547 ] -2.61657571415327 ;\n", + "Epoch 90/1000, Cost: 6.8166\n", + " and the parameters are [-1.47881116 2.21082289] -2.6166098171476904 ;\n", + "Epoch 90/1000, Cost: 5.6730\n", + " and the parameters are [-1.47876499 2.21087347] -2.6167263054051864 ;\n", + "Epoch 90/1000, Cost: 5.2321\n", + " and the parameters are [-1.47874382 2.21095899] -2.6167593802295346 ;\n", + "Epoch 90/1000, Cost: 5.5988\n", + " and the parameters are [-1.47872864 2.21101242] -2.6168349865054745 ;\n", + "Epoch 90/1000, Cost: 6.5831\n", + " and the parameters are [-1.4787756 2.21104581] -2.616924312421269 ;\n", + "Epoch 90/1000, Cost: 4.7948\n", + " and the parameters are [-1.47879343 2.21122264] -2.6168874260616932 ;\n", + "Epoch 90/1000, Cost: 6.5521\n", + " and the parameters are [-1.47899309 2.21118112] -2.6169167086664022 ;\n", + "Epoch 90/1000, Cost: 5.3200\n", + " and the parameters are [-1.47902491 2.21117753] -2.6170420421369354 ;\n", + "Epoch 90/1000, Cost: 4.8192\n", + " and the parameters are [-1.47898533 2.21122486] -2.6171461423852995 ;\n", + "Epoch 90/1000, Cost: 2.8823\n", + " and the parameters are [-1.47899481 2.21128662] -2.617209862870218 ;\n", + "Epoch 90/1000, Cost: 7.8333\n", + " and the parameters are [-1.4791627 2.21122854] -2.6173088368390074 ;\n", + "Epoch 90/1000, Cost: 5.4636\n", + " and the parameters are [-1.47914718 2.21129153] -2.617395011551265 ;\n", + "Epoch 90/1000, Cost: 5.1859\n", + " and the parameters are [-1.47914528 2.21129727] -2.6175179625112155 ;\n", + "Epoch 90/1000, Cost: 4.8525\n", + " and the parameters are [-1.47922211 2.21147574] -2.6174436880550447 ;\n", + "Epoch 90/1000, Cost: 4.7743\n", + " and the parameters are [-1.47927882 2.21152317] -2.617510275298735 ;\n", + "Epoch 90/1000, Cost: 4.5608\n", + " and the parameters are [-1.47925872 2.21160867] -2.617541599313154 ;\n", + "Epoch 90/1000, Cost: 5.3314\n", + " and the parameters are [-1.47932317 2.21158032] -2.617622325619239 ;\n", + "Epoch 90/1000, Cost: 7.2460\n", + " and the parameters are [-1.47940068 2.21147853] -2.6177868419193926 ;\n", + "Epoch 90/1000, Cost: 7.2226\n", + " and the parameters are [-1.47949986 2.21145532] -2.6178750743892887 ;\n", + "Epoch 90/1000, Cost: 3.9615\n", + " and the parameters are [-1.4795175 2.21159231] -2.617885201328435 ;\n", + "Epoch 90/1000, Cost: 7.1500\n", + " and the parameters are [-1.47941799 2.21170718] -2.6179357761505697 ;\n", + "Epoch 90/1000, Cost: 6.6775\n", + " and the parameters are [-1.47943609 2.21176651] -2.6180099340302734 ;\n", + "Epoch 90/1000, Cost: 6.3262\n", + " and the parameters are [-1.47952916 2.2118029 ] -2.6180496439864323 ;\n", + "Epoch 90/1000, Cost: 4.9367\n", + " and the parameters are [-1.47946981 2.21184871] -2.6181729008426857 ;\n", + "Epoch 90/1000, Cost: 7.4921\n", + " and the parameters are [-1.4794603 2.21189787] -2.6182937112242435 ;\n", + "Epoch 90/1000, Cost: 5.7785\n", + " and the parameters are [-1.47946111 2.21206807] -2.618306442136944 ;\n", + "Epoch 90/1000, Cost: 6.4801\n", + " and the parameters are [-1.47953742 2.21210614] -2.6183699288141 ;\n", + "Epoch 90/1000, Cost: 7.7136\n", + " and the parameters are [-1.47950745 2.21209401] -2.6185170984478683 ;\n", + "Epoch 90/1000, Cost: 4.4459\n", + " and the parameters are [-1.4794905 2.21218919] -2.618569280115662 ;\n", + "Epoch 90/1000, Cost: 6.7356\n", + " and the parameters are [-1.47944777 2.2122751 ] -2.618660988419879 ;\n", + "Epoch 90/1000, Cost: 5.6245\n", + " and the parameters are [-1.47945823 2.21238813] -2.6186999302665264 ;\n", + "Epoch 90/1000, Cost: 5.2085\n", + " and the parameters are [-1.47940305 2.21244253] -2.6188021929285474 ;\n", + "Epoch 90/1000, Cost: 7.4234\n", + " and the parameters are [-1.4793456 2.21260857] -2.618817977803434 ;\n", + "Epoch 90/1000, Cost: 5.9605\n", + " and the parameters are [-1.47935451 2.21273651] -2.6188272301669424 ;\n", + "Epoch 90/1000, Cost: 5.7610\n", + " and the parameters are [-1.47929677 2.21287096] -2.618898905083829 ;\n", + "Epoch 90/1000, Cost: 5.9290\n", + " and the parameters are [-1.47926142 2.21297334] -2.6189580319185066 ;\n", + "Epoch 90/1000, Cost: 5.4575\n", + " and the parameters are [-1.47930188 2.21308547] -2.6189854969111437 ;\n", + "Epoch 90/1000, Cost: 5.6819\n", + " and the parameters are [-1.47932754 2.21312823] -2.6190628506276177 ;\n", + "Epoch 90/1000, Cost: 6.7585\n", + " and the parameters are [-1.4793227 2.21308096] -2.6192122338085704 ;\n", + "Epoch 90/1000, Cost: 4.9765\n", + " and the parameters are [-1.47937081 2.21316313] -2.6192357916089333 ;\n", + "Epoch 90/1000, Cost: 4.0449\n", + " and the parameters are [-1.47933623 2.21335211] -2.619225719003361 ;\n", + "Epoch 90/1000, Cost: 4.5470\n", + " and the parameters are [-1.47931132 2.21349305] -2.619269551526755 ;\n", + "Epoch 90/1000, Cost: 6.5500\n", + " and the parameters are [-1.47939828 2.2134549 ] -2.619362001430454 ;\n", + "Epoch 90/1000, Cost: 4.0280\n", + " and the parameters are [-1.47942429 2.2135984 ] -2.6193352585951857 ;\n", + "Epoch 90/1000, Cost: 4.9219\n", + " and the parameters are [-1.47938633 2.21371157] -2.6194150707116792 ;\n", + "Epoch 90/1000, Cost: 4.7386\n", + " and the parameters are [-1.47940683 2.21386454] -2.6194115163764673 ;\n", + "Epoch 90/1000, Cost: 6.8943\n", + " and the parameters are [-1.47941165 2.21388701] -2.619513097563974 ;\n", + "Epoch 90/1000, Cost: 4.3312\n", + " and the parameters are [-1.47940804 2.21402548] -2.6195162603062143 ;\n", + "Epoch 90/1000, Cost: 5.9578\n", + " and the parameters are [-1.47939395 2.21402124] -2.6196553468233703 ;\n", + "Epoch 90/1000, Cost: 5.7684\n", + " and the parameters are [-1.47949063 2.21411319] -2.6196211935819353 ;\n", + "Epoch 90/1000, Cost: 6.9514\n", + " and the parameters are [-1.4795633 2.21424025] -2.619596755044509 ;\n", + "Epoch 90/1000, Cost: 6.8681\n", + " and the parameters are [-1.47970757 2.21417264] -2.619706412329676 ;\n", + "Epoch 90/1000, Cost: 10.5310\n", + " and the parameters are [-1.4798043 2.21402141] -2.6198115677350406 ;\n", + "Epoch 90/1000, Cost: 5.0170\n", + " and the parameters are [-1.47988349 2.21406438] -2.6198581472344493 ;\n", + "Epoch 90/1000, Cost: 7.3488\n", + " and the parameters are [-1.47998523 2.21413672] -2.6198249010199497 ;\n", + "Epoch 90/1000, Cost: 7.6714\n", + " and the parameters are [-1.48001955 2.21415781] -2.6198759630666264 ;\n", + "Epoch 90/1000, Cost: 3.6963\n", + " and the parameters are [-1.48000979 2.21431764] -2.6198875484833706 ;\n", + "Epoch 90/1000, Cost: 4.9976\n", + " and the parameters are [-1.48001827 2.21431355] -2.620007550540404 ;\n", + "Epoch 90/1000, Cost: 6.8935\n", + " and the parameters are [-1.48005834 2.21440292] -2.619998969578244 ;\n", + "Epoch 90/1000, Cost: 4.8253\n", + " and the parameters are [-1.48002998 2.21451851] -2.620066723605002 ;\n", + "Epoch 90/1000, Cost: 6.0028\n", + " and the parameters are [-1.48002461 2.21461884] -2.6201061230535907 ;\n", + "Epoch 90/1000, Cost: 5.8271\n", + " and the parameters are [-1.48007303 2.21472091] -2.620116474289282 ;\n", + "Epoch 90/1000, Cost: 7.4582\n", + " and the parameters are [-1.48014701 2.21481853] -2.6200932270772266 ;\n", + "Epoch 90/1000, Cost: 6.4086\n", + " and the parameters are [-1.48005744 2.21490957] -2.6201863816635362 ;\n", + "Epoch 90/1000, Cost: 8.0728\n", + " and the parameters are [-1.48012956 2.2149797 ] -2.6202214194515823 ;\n", + "Epoch 90/1000, Cost: 4.5724\n", + " and the parameters are [-1.4801253 2.21511002] -2.62024589882245 ;\n", + "Epoch 90/1000, Cost: 6.7698\n", + " and the parameters are [-1.48009594 2.21527272] -2.6202631276821418 ;\n", + "Epoch 90/1000, Cost: 5.6712\n", + " and the parameters are [-1.48010007 2.21529986] -2.6203473750967525 ;\n", + "Epoch 90/1000, Cost: 6.6223\n", + " and the parameters are [-1.48016089 2.21527422] -2.62046732859535 ;\n", + "Epoch 90/1000, Cost: 6.9030\n", + " and the parameters are [-1.48028837 2.21518417] -2.620585442151452 ;\n", + "Epoch 90/1000, Cost: 3.8608\n", + " and the parameters are [-1.48031944 2.21527137] -2.6206129654322883 ;\n", + "Epoch 90/1000, Cost: 5.8800\n", + " and the parameters are [-1.4803394 2.21532181] -2.6206876641581567 ;\n", + "Epoch 90/1000, Cost: 8.5482\n", + " and the parameters are [-1.48038563 2.21517236] -2.6208693305574378 ;\n", + "Epoch 90/1000, Cost: 6.9318\n", + " and the parameters are [-1.48049444 2.21509297] -2.6210244380828356 ;\n", + "Epoch 90/1000, Cost: 4.6697\n", + " and the parameters are [-1.48044469 2.21518796] -2.62111939744933 ;\n", + "Epoch 90/1000, Cost: 8.6399\n", + " and the parameters are [-1.4806442 2.21503968] -2.621281974256232 ;\n", + "Epoch 90/1000, Cost: 6.2744\n", + " and the parameters are [-1.48063058 2.21515636] -2.621309846075932 ;\n", + "Epoch 90/1000, Cost: 6.2064\n", + " and the parameters are [-1.48067003 2.21522162] -2.6213321353224694 ;\n", + "Epoch 90/1000, Cost: 4.2640\n", + " and the parameters are [-1.48071492 2.21541638] -2.6212748276440743 ;\n", + "Epoch 90/1000, Cost: 5.1494\n", + " and the parameters are [-1.48073503 2.21544112] -2.621386281968106 ;\n", + "Epoch 90/1000, Cost: 5.5885\n", + " and the parameters are [-1.48076759 2.21564688] -2.621326543782032 ;\n", + "Epoch 90/1000, Cost: 8.6263\n", + " and the parameters are [-1.48078212 2.21565107] -2.621400053275999 ;\n", + "Epoch 90/1000, Cost: 6.7869\n", + " and the parameters are [-1.48082211 2.21565906] -2.6215050429870015 ;\n", + "Epoch 90/1000, Cost: 5.6529\n", + " and the parameters are [-1.48085575 2.21564589] -2.6216404865206697 ;\n", + "Epoch 90/1000, Cost: 5.7296\n", + " and the parameters are [-1.48099635 2.21562184] -2.6217210513648816 ;\n", + "Epoch 90/1000, Cost: 4.0885\n", + " and the parameters are [-1.48098985 2.2157285 ] -2.6217574212525814 ;\n", + "Epoch 90/1000, Cost: 6.9664\n", + " and the parameters are [-1.4810622 2.2158183] -2.6217824179298908 ;\n", + "Epoch 90/1000, Cost: 5.6789\n", + " and the parameters are [-1.4811715 2.21583611] -2.6218296621701724 ;\n", + "Epoch 90/1000, Cost: 7.3281\n", + " and the parameters are [-1.48118673 2.2157833 ] -2.621963207341404 ;\n", + "Epoch 90/1000, Cost: 4.7011\n", + " and the parameters are [-1.48118109 2.2159268 ] -2.6219745282436797 ;\n", + "Epoch 90/1000, Cost: 6.3580\n", + " and the parameters are [-1.48123238 2.21595013] -2.622076506259779 ;\n", + "Epoch 90/1000, Cost: 5.0615\n", + " and the parameters are [-1.48122983 2.21605611] -2.6221067584526465 ;\n", + "Epoch 90/1000, Cost: 7.4474\n", + " and the parameters are [-1.48124683 2.21604442] -2.6222326138124457 ;\n", + "Epoch 90/1000, Cost: 5.0005\n", + " and the parameters are [-1.4813859 2.21615446] -2.622177742363209 ;\n", + "Epoch 90/1000, Cost: 6.9492\n", + " and the parameters are [-1.48140667 2.21624493] -2.622201784982456 ;\n", + "Epoch 90/1000, Cost: 5.0150\n", + " and the parameters are [-1.48141474 2.21626296] -2.6223170799389455 ;\n", + "Epoch 90/1000, Cost: 5.7044\n", + " and the parameters are [-1.48149684 2.2161753 ] -2.6224697790027487 ;\n", + "Epoch 90/1000, Cost: 4.4436\n", + " and the parameters are [-1.48152968 2.21626588] -2.622510721846096 ;\n", + "Epoch 90/1000, Cost: 4.2112\n", + " and the parameters are [-1.48150698 2.21645108] -2.62249651383897 ;\n", + "Epoch 90/1000, Cost: 7.1645\n", + " and the parameters are [-1.48150891 2.21644524] -2.6226102340445037 ;\n", + "Epoch 90/1000, Cost: 5.9157\n", + " and the parameters are [-1.48150463 2.2164555 ] -2.622718766081316 ;\n", + "Epoch 90/1000, Cost: 5.3078\n", + " and the parameters are [-1.4815004 2.21662516] -2.622717247448995 ;\n", + "Epoch 90/1000, Cost: 5.8660\n", + " and the parameters are [-1.48150909 2.21675647] -2.622752782525304 ;\n", + "Epoch 90/1000, Cost: 6.2408\n", + " and the parameters are [-1.481516 2.21688796] -2.622768001963239 ;\n", + "Epoch 90/1000, Cost: 7.1831\n", + " and the parameters are [-1.48169257 2.21681228] -2.622854775235476 ;\n", + "Epoch 90/1000, Cost: 5.8323\n", + " and the parameters are [-1.48167132 2.21690861] -2.622939956194891 ;\n", + "Epoch 90/1000, Cost: 4.5844\n", + " and the parameters are [-1.48168507 2.21710085] -2.6228871146735204 ;\n", + "Epoch 90/1000, Cost: 4.7975\n", + " and the parameters are [-1.48170485 2.21724416] -2.6228763006899074 ;\n", + "Epoch 90/1000, Cost: 5.0589\n", + " and the parameters are [-1.48173567 2.21728552] -2.622938443055059 ;\n", + "Epoch 90/1000, Cost: 4.2639\n", + " and the parameters are [-1.48179 2.2174033] -2.6229362199289126 ;\n", + "Epoch 90/1000, Cost: 7.3807\n", + " and the parameters are [-1.48182595 2.21743589] -2.623017687426556 ;\n", + "Epoch 90/1000, Cost: 5.0473\n", + " and the parameters are [-1.48181532 2.2175348 ] -2.623058973924415 ;\n", + "Epoch 90/1000, Cost: 5.0756\n", + " and the parameters are [-1.48185629 2.21768304] -2.623037374914235 ;\n", + "Epoch 90/1000, Cost: 6.8447\n", + " and the parameters are [-1.48185517 2.21761585] -2.6232246147152805 ;\n", + "Epoch 90/1000, Cost: 6.5109\n", + " and the parameters are [-1.48202327 2.21755382] -2.6232826990158182 ;\n", + "Epoch 90/1000, Cost: 4.6941\n", + " and the parameters are [-1.48209913 2.21759074] -2.6233145229180534 ;\n", + "Epoch 90/1000, Cost: 5.7220\n", + " and the parameters are [-1.48205918 2.21767487] -2.6233761291693485 ;\n", + "Epoch 90/1000, Cost: 5.5467\n", + " and the parameters are [-1.48213557 2.21768105] -2.623444613118726 ;\n", + "Epoch 90/1000, Cost: 3.7680\n", + " and the parameters are [-1.48214017 2.21784194] -2.623447475605504 ;\n", + "Epoch 90/1000, Cost: 6.5968\n", + " and the parameters are [-1.48222313 2.21787673] -2.623461534670936 ;\n", + "Epoch 90/1000, Cost: 7.5120\n", + " and the parameters are [-1.48230807 2.21790586] -2.62353201991853 ;\n", + "Epoch 90/1000, Cost: 4.4888\n", + " and the parameters are [-1.48225972 2.21808828] -2.6235487781812177 ;\n", + "Epoch 90/1000, Cost: 6.4768\n", + " and the parameters are [-1.4822874 2.21813847] -2.6236400077215847 ;\n", + "Epoch 90/1000, Cost: 6.3368\n", + " and the parameters are [-1.48235469 2.21818566] -2.6237157911841487 ;\n", + "Epoch 90/1000, Cost: 4.4077\n", + " and the parameters are [-1.48239611 2.21829438] -2.6237438500475174 ;\n", + "Epoch 90/1000, Cost: 5.9074\n", + " and the parameters are [-1.48251108 2.21833743] -2.623769445818894 ;\n", + "Epoch 90/1000, Cost: 4.4149\n", + " and the parameters are [-1.4825345 2.21843721] -2.6238023352653084 ;\n", + "Epoch 90/1000, Cost: 4.7667\n", + " and the parameters are [-1.48257745 2.21843574] -2.6239073051625272 ;\n", + "Epoch 90/1000, Cost: 5.1106\n", + " and the parameters are [-1.48250373 2.21854561] -2.6239684507565935 ;\n", + "Epoch 90/1000, Cost: 7.0756\n", + " and the parameters are [-1.48260536 2.21839998] -2.624138569916365 ;\n", + "Epoch 90/1000, Cost: 6.1005\n", + " and the parameters are [-1.48255709 2.21843209] -2.6242854613572537 ;\n", + "Epoch 90/1000, Cost: 7.4948\n", + " and the parameters are [-1.48254924 2.21834983] -2.624474209732814 ;\n", + "Epoch 90/1000, Cost: 6.5464\n", + " and the parameters are [-1.48261477 2.21830041] -2.6245858682765775 ;\n", + "Epoch 90/1000, Cost: 5.3418\n", + " and the parameters are [-1.48266003 2.21841497] -2.6246052666683304 ;\n", + "Epoch 90/1000, Cost: 5.9830\n", + " and the parameters are [-1.48278732 2.21851527] -2.6245806565111907 ;\n", + "Epoch 90/1000, Cost: 5.4744\n", + " and the parameters are [-1.48284277 2.21857323] -2.6246452612700084 ;\n", + "Epoch 90/1000, Cost: 5.6001\n", + " and the parameters are [-1.48284694 2.21862724] -2.624722658644938 ;\n", + "Epoch 90/1000, Cost: 6.2257\n", + " and the parameters are [-1.4829127 2.21874093] -2.6247208364252756 ;\n", + "Epoch 90/1000, Cost: 4.5088\n", + " and the parameters are [-1.48289813 2.21882231] -2.6247933078957058 ;\n", + "Epoch 90/1000, Cost: 6.8399\n", + " and the parameters are [-1.4830538 2.21879598] -2.6248442269461445 ;\n", + "Epoch 90/1000, Cost: 6.2725\n", + " and the parameters are [-1.48316812 2.21874587] -2.6249611748128343 ;\n", + "Epoch 90/1000, Cost: 5.4072\n", + " and the parameters are [-1.48330475 2.21867548] -2.62505064983638 ;\n", + "Epoch 90/1000, Cost: 4.1878\n", + " and the parameters are [-1.48326197 2.21891195] -2.6250177797288057 ;\n", + "Epoch 90/1000, Cost: 6.8113\n", + " and the parameters are [-1.48341656 2.21885914] -2.6251019245445524 ;\n", + "Epoch 90/1000, Cost: 5.8009\n", + " and the parameters are [-1.48354397 2.21887946] -2.6251500601487323 ;\n", + "Epoch 90/1000, Cost: 5.0076\n", + " and the parameters are [-1.48357179 2.21895795] -2.625195237845553 ;\n", + "Epoch 90/1000, Cost: 7.6793\n", + " and the parameters are [-1.48339974 2.21901069] -2.625355194730326 ;\n", + "Epoch 90/1000, Cost: 6.5144\n", + " and the parameters are [-1.48341064 2.21899174] -2.6255133476164363 ;\n", + "Epoch 90/1000, Cost: 7.9461\n", + " and the parameters are [-1.48355754 2.21878784] -2.625699167425464 ;\n", + "Epoch 90/1000, Cost: 5.2888\n", + " and the parameters are [-1.48355425 2.21887989] -2.625744067699967 ;\n", + "Epoch 90/1000, Cost: 7.0803\n", + " and the parameters are [-1.48379611 2.21871153] -2.6258869060628047 ;\n", + "Epoch 90/1000, Cost: 4.4284\n", + " and the parameters are [-1.48376961 2.21880227] -2.6259424232111797 ;\n", + "Epoch 90/1000, Cost: 7.0092\n", + " and the parameters are [-1.48384165 2.21876733] -2.6260505148364017 ;\n", + "Epoch 90/1000, Cost: 10.4209\n", + " and the parameters are [-1.48402582 2.21854597] -2.626201533329728 ;\n", + "Epoch 90/1000, Cost: 6.9295\n", + " and the parameters are [-1.48398879 2.21855707] -2.6263715791248377 ;\n", + "Epoch 90/1000, Cost: 6.2953\n", + " and the parameters are [-1.48412771 2.21851908] -2.626391772852321 ;\n", + "Epoch 90/1000, Cost: 5.7856\n", + " and the parameters are [-1.48412468 2.21858771] -2.626474787124709 ;\n", + "Epoch 90/1000, Cost: 5.3799\n", + " and the parameters are [-1.48420679 2.2187166 ] -2.6264668298552567 ;\n", + "Epoch 90/1000, Cost: 6.1158\n", + " and the parameters are [-1.4842417 2.2186998] -2.626552047138551 ;\n", + "Epoch 100/1000, Cost: 5.3494\n", + " and the parameters are [-1.5477658 2.29261832] -2.7392161843758345 ;\n", + "Epoch 100/1000, Cost: 4.6713\n", + " and the parameters are [-1.54787829 2.29263021] -2.7392576165878704 ;\n", + "Epoch 100/1000, Cost: 3.1042\n", + " and the parameters are [-1.54786953 2.29278547] -2.739249338181277 ;\n", + "Epoch 100/1000, Cost: 4.8405\n", + " and the parameters are [-1.54798938 2.29278521] -2.739292747335756 ;\n", + "Epoch 100/1000, Cost: 5.6850\n", + " and the parameters are [-1.54795627 2.29294009] -2.739311537797368 ;\n", + "Epoch 100/1000, Cost: 4.4797\n", + " and the parameters are [-1.54803135 2.29297636] -2.739360487960863 ;\n", + "Epoch 100/1000, Cost: 4.3015\n", + " and the parameters are [-1.54805352 2.29306329] -2.739397144985654 ;\n", + "Epoch 100/1000, Cost: 4.2631\n", + " and the parameters are [-1.54810091 2.29306349] -2.7394760458294796 ;\n", + "Epoch 100/1000, Cost: 5.3449\n", + " and the parameters are [-1.5480939 2.29322152] -2.73948489750423 ;\n", + "Epoch 100/1000, Cost: 4.6826\n", + " and the parameters are [-1.54811653 2.29329092] -2.739545171280968 ;\n", + "Epoch 100/1000, Cost: 6.2429\n", + " and the parameters are [-1.54812906 2.2933029 ] -2.739671285447419 ;\n", + "Epoch 100/1000, Cost: 5.2894\n", + " and the parameters are [-1.54809434 2.29340731] -2.7397097278717664 ;\n", + "Epoch 100/1000, Cost: 4.6095\n", + " and the parameters are [-1.54814078 2.29340143] -2.73980001503137 ;\n", + "Epoch 100/1000, Cost: 6.1511\n", + " and the parameters are [-1.54829807 2.2933364 ] -2.7398559480782656 ;\n", + "Epoch 100/1000, Cost: 4.1794\n", + " and the parameters are [-1.54834891 2.29344969] -2.739853671603756 ;\n", + "Epoch 100/1000, Cost: 6.5051\n", + " and the parameters are [-1.54839695 2.29347527] -2.7399251534840277 ;\n", + "Epoch 100/1000, Cost: 4.7643\n", + " and the parameters are [-1.54840299 2.29358897] -2.739949518569633 ;\n", + "Epoch 100/1000, Cost: 5.3515\n", + " and the parameters are [-1.54842954 2.29364287] -2.740015960139789 ;\n", + "Epoch 100/1000, Cost: 7.3860\n", + " and the parameters are [-1.54842857 2.29369539] -2.7400445373387905 ;\n", + "Epoch 100/1000, Cost: 8.6190\n", + " and the parameters are [-1.54856035 2.29350749] -2.740222855967136 ;\n", + "Epoch 100/1000, Cost: 8.1536\n", + " and the parameters are [-1.5485119 2.29357886] -2.7402690717243723 ;\n", + "Epoch 100/1000, Cost: 4.4110\n", + " and the parameters are [-1.54854873 2.29365063] -2.740297387525773 ;\n", + "Epoch 100/1000, Cost: 3.9237\n", + " and the parameters are [-1.54863335 2.29368606] -2.7403296403910455 ;\n", + "Epoch 100/1000, Cost: 4.6544\n", + " and the parameters are [-1.54866784 2.29370205] -2.7404190397072377 ;\n", + "Epoch 100/1000, Cost: 5.6117\n", + " and the parameters are [-1.54872375 2.29364892] -2.74056915901103 ;\n", + "Epoch 100/1000, Cost: 4.0318\n", + " and the parameters are [-1.54874767 2.29363238] -2.7406858816769097 ;\n", + "Epoch 100/1000, Cost: 4.1440\n", + " and the parameters are [-1.54890141 2.29357044] -2.7407628597481084 ;\n", + "Epoch 100/1000, Cost: 7.5692\n", + " and the parameters are [-1.54885088 2.29366095] -2.7408019183322705 ;\n", + "Epoch 100/1000, Cost: 4.2101\n", + " and the parameters are [-1.54887957 2.29365721] -2.7408929837088802 ;\n", + "Epoch 100/1000, Cost: 5.1684\n", + " and the parameters are [-1.54885012 2.29378001] -2.7409290031196174 ;\n", + "Epoch 100/1000, Cost: 7.0209\n", + " and the parameters are [-1.54882769 2.29380545] -2.741015893171428 ;\n", + "Epoch 100/1000, Cost: 7.5486\n", + " and the parameters are [-1.54882201 2.29371136] -2.741203649241023 ;\n", + "Epoch 100/1000, Cost: 5.4741\n", + " and the parameters are [-1.54888864 2.29374137] -2.7412535820822246 ;\n", + "Epoch 100/1000, Cost: 4.7363\n", + " and the parameters are [-1.54893948 2.29367399] -2.741404789301216 ;\n", + "Epoch 100/1000, Cost: 4.5285\n", + " and the parameters are [-1.54896059 2.29371572] -2.7414570970471868 ;\n", + "Epoch 100/1000, Cost: 6.4888\n", + " and the parameters are [-1.549052 2.29367988] -2.7415433970793712 ;\n", + "Epoch 100/1000, Cost: 6.0731\n", + " and the parameters are [-1.54898823 2.29386702] -2.7415158582484764 ;\n", + "Epoch 100/1000, Cost: 3.9201\n", + " and the parameters are [-1.54905391 2.29393528] -2.74154032175691 ;\n", + "Epoch 100/1000, Cost: 3.3738\n", + " and the parameters are [-1.5490442 2.29399113] -2.7416125842117984 ;\n", + "Epoch 100/1000, Cost: 6.3302\n", + " and the parameters are [-1.54907294 2.29394294] -2.7417479013425785 ;\n", + "Epoch 100/1000, Cost: 4.2528\n", + " and the parameters are [-1.54904645 2.29409422] -2.741750456406631 ;\n", + "Epoch 100/1000, Cost: 6.4714\n", + " and the parameters are [-1.54906026 2.2941109 ] -2.741846895415207 ;\n", + "Epoch 100/1000, Cost: 8.6220\n", + " and the parameters are [-1.54910366 2.29393506] -2.7420707357532352 ;\n", + "Epoch 100/1000, Cost: 6.8399\n", + " and the parameters are [-1.54911002 2.2940392 ] -2.74208113527826 ;\n", + "Epoch 100/1000, Cost: 5.2452\n", + " and the parameters are [-1.5491617 2.29409567] -2.7421252351496865 ;\n", + "Epoch 100/1000, Cost: 6.4820\n", + " and the parameters are [-1.54923415 2.29415651] -2.7421628118174133 ;\n", + "Epoch 100/1000, Cost: 4.4370\n", + " and the parameters are [-1.54930084 2.29420207] -2.7422056592774315 ;\n", + "Epoch 100/1000, Cost: 4.7593\n", + " and the parameters are [-1.54931607 2.29423701] -2.742293145547583 ;\n", + "Epoch 100/1000, Cost: 5.1695\n", + " and the parameters are [-1.54929671 2.29429279] -2.7423607279777844 ;\n", + "Epoch 100/1000, Cost: 8.7390\n", + " and the parameters are [-1.54934635 2.2944267 ] -2.7422624171183263 ;\n", + "Epoch 100/1000, Cost: 3.9787\n", + " and the parameters are [-1.54934744 2.29454851] -2.7422775593719093 ;\n", + "Epoch 100/1000, Cost: 7.9010\n", + " and the parameters are [-1.5493354 2.29465624] -2.7423153636297872 ;\n", + "Epoch 100/1000, Cost: 10.0448\n", + " and the parameters are [-1.54944495 2.29433657] -2.7425860601487404 ;\n", + "Epoch 100/1000, Cost: 5.0873\n", + " and the parameters are [-1.54949021 2.29439382] -2.742641183677991 ;\n", + "Epoch 100/1000, Cost: 4.1941\n", + " and the parameters are [-1.54948589 2.29450587] -2.7426735853110604 ;\n", + "Epoch 100/1000, Cost: 5.1747\n", + " and the parameters are [-1.54955226 2.29459198] -2.742687724974822 ;\n", + "Epoch 100/1000, Cost: 7.3926\n", + " and the parameters are [-1.54960898 2.29463621] -2.742744589179269 ;\n", + "Epoch 100/1000, Cost: 7.4947\n", + " and the parameters are [-1.54960815 2.29461339] -2.7428395285396254 ;\n", + "Epoch 100/1000, Cost: 5.6816\n", + " and the parameters are [-1.54976422 2.29461196] -2.7428965526769167 ;\n", + "Epoch 100/1000, Cost: 5.8916\n", + " and the parameters are [-1.54969204 2.29474827] -2.7429496696642826 ;\n", + "Epoch 100/1000, Cost: 7.4801\n", + " and the parameters are [-1.54980231 2.29486253] -2.74292480418158 ;\n", + "Epoch 100/1000, Cost: 4.0462\n", + " and the parameters are [-1.54979239 2.2949479 ] -2.7429703453539047 ;\n", + "Epoch 100/1000, Cost: 3.9586\n", + " and the parameters are [-1.54981027 2.29506878] -2.7429837171684563 ;\n", + "Epoch 100/1000, Cost: 4.8972\n", + " and the parameters are [-1.54981972 2.2951557 ] -2.7430198889817805 ;\n", + "Epoch 100/1000, Cost: 8.5366\n", + " and the parameters are [-1.54979697 2.29504575] -2.7432034944821346 ;\n", + "Epoch 100/1000, Cost: 5.3216\n", + " and the parameters are [-1.54979247 2.29509134] -2.743258749187138 ;\n", + "Epoch 100/1000, Cost: 5.1061\n", + " and the parameters are [-1.54984193 2.29533969] -2.743170564815727 ;\n", + "Epoch 100/1000, Cost: 7.9625\n", + " and the parameters are [-1.54999238 2.29526062] -2.743264396185418 ;\n", + "Epoch 100/1000, Cost: 6.7004\n", + " and the parameters are [-1.55002482 2.29528188] -2.7433457795979717 ;\n", + "Epoch 100/1000, Cost: 5.4340\n", + " and the parameters are [-1.54996218 2.29544886] -2.7433627141003263 ;\n", + "Epoch 100/1000, Cost: 6.5559\n", + " and the parameters are [-1.55001196 2.29552584] -2.743383478017492 ;\n", + "Epoch 100/1000, Cost: 3.1368\n", + " and the parameters are [-1.55004345 2.29559233] -2.743427788889007 ;\n", + "Epoch 100/1000, Cost: 4.1802\n", + " and the parameters are [-1.55003073 2.29570148] -2.743448805931397 ;\n", + "Epoch 100/1000, Cost: 10.3017\n", + " and the parameters are [-1.5500033 2.29570717] -2.743492331187886 ;\n", + "Epoch 100/1000, Cost: 3.7399\n", + " and the parameters are [-1.55000582 2.29583844] -2.7435028631130005 ;\n", + "Epoch 100/1000, Cost: 4.0525\n", + " and the parameters are [-1.55002551 2.29593585] -2.7435278501995 ;\n", + "Epoch 100/1000, Cost: 5.9272\n", + " and the parameters are [-1.55013026 2.29594384] -2.7435578333174915 ;\n", + "Epoch 100/1000, Cost: 3.1634\n", + " and the parameters are [-1.55014198 2.29606742] -2.743566950660678 ;\n", + "Epoch 100/1000, Cost: 4.9849\n", + " and the parameters are [-1.55022084 2.29607608] -2.7436104081355057 ;\n", + "Epoch 100/1000, Cost: 5.7974\n", + " and the parameters are [-1.55034973 2.29602324] -2.7436872235074703 ;\n", + "Epoch 100/1000, Cost: 5.1423\n", + " and the parameters are [-1.55043381 2.29605297] -2.7437315471566133 ;\n", + "Epoch 100/1000, Cost: 6.6416\n", + " and the parameters are [-1.55050529 2.29602935] -2.7438484944090495 ;\n", + "Epoch 100/1000, Cost: 5.0787\n", + " and the parameters are [-1.55050778 2.29608695] -2.7439201023841107 ;\n", + "Epoch 100/1000, Cost: 6.0650\n", + " and the parameters are [-1.55056873 2.29616473] -2.7439365676079435 ;\n", + "Epoch 100/1000, Cost: 5.9829\n", + " and the parameters are [-1.55060616 2.29616929] -2.7440058225508763 ;\n", + "Epoch 100/1000, Cost: 4.7260\n", + " and the parameters are [-1.55067579 2.29629512] -2.7439967307751716 ;\n", + "Epoch 100/1000, Cost: 4.2867\n", + " and the parameters are [-1.55068045 2.29638682] -2.744022706475831 ;\n", + "Epoch 100/1000, Cost: 7.7987\n", + " and the parameters are [-1.55078497 2.2964577 ] -2.74403179573504 ;\n", + "Epoch 100/1000, Cost: 3.5565\n", + " and the parameters are [-1.55072219 2.29659273] -2.744056978042179 ;\n", + "Epoch 100/1000, Cost: 10.3964\n", + " and the parameters are [-1.5507123 2.29634018] -2.7443438772962203 ;\n", + "Epoch 100/1000, Cost: 5.8947\n", + " and the parameters are [-1.55067214 2.29641671] -2.7444100037185697 ;\n", + "Epoch 100/1000, Cost: 5.0045\n", + " and the parameters are [-1.55070529 2.29650941] -2.744430991173235 ;\n", + "Epoch 100/1000, Cost: 5.3952\n", + " and the parameters are [-1.55066535 2.29670989] -2.7444172130718223 ;\n", + "Epoch 100/1000, Cost: 6.3243\n", + " and the parameters are [-1.55068023 2.29682259] -2.7444500300896784 ;\n", + "Epoch 100/1000, Cost: 6.4034\n", + " and the parameters are [-1.55079337 2.29669097] -2.7445902509726254 ;\n", + "Epoch 100/1000, Cost: 7.7004\n", + " and the parameters are [-1.55070243 2.2969026 ] -2.744607590234311 ;\n", + "Epoch 100/1000, Cost: 6.5121\n", + " and the parameters are [-1.55080723 2.29693295] -2.744645357170188 ;\n", + "Epoch 100/1000, Cost: 3.6381\n", + " and the parameters are [-1.55083007 2.29698393] -2.744711656543555 ;\n", + "Epoch 100/1000, Cost: 6.5115\n", + " and the parameters are [-1.55082623 2.29702886] -2.7447749058322493 ;\n", + "Epoch 100/1000, Cost: 4.6878\n", + " and the parameters are [-1.55077839 2.29711712] -2.744857729647292 ;\n", + "Epoch 100/1000, Cost: 5.3388\n", + " and the parameters are [-1.55086837 2.29710999] -2.74493993823166 ;\n", + "Epoch 100/1000, Cost: 4.0506\n", + " and the parameters are [-1.55088933 2.29713987] -2.7450214790891896 ;\n", + "Epoch 100/1000, Cost: 9.4503\n", + " and the parameters are [-1.55086007 2.29705825] -2.7451817522604105 ;\n", + "Epoch 100/1000, Cost: 5.6364\n", + " and the parameters are [-1.55090003 2.29709093] -2.745235948336666 ;\n", + "Epoch 100/1000, Cost: 4.0137\n", + " and the parameters are [-1.55100817 2.29709656] -2.745290384019404 ;\n", + "Epoch 100/1000, Cost: 5.8269\n", + " and the parameters are [-1.5511121 2.29714392] -2.745297967870719 ;\n", + "Epoch 100/1000, Cost: 5.1851\n", + " and the parameters are [-1.55110965 2.29723467] -2.745328066215904 ;\n", + "Epoch 100/1000, Cost: 7.6597\n", + " and the parameters are [-1.55112656 2.2973398 ] -2.7453491907285414 ;\n", + "Epoch 100/1000, Cost: 5.3510\n", + " and the parameters are [-1.55115627 2.29730651] -2.7454675594951135 ;\n", + "Epoch 100/1000, Cost: 4.4218\n", + " and the parameters are [-1.55124101 2.2973457 ] -2.745507906526573 ;\n", + "Epoch 100/1000, Cost: 4.6876\n", + " and the parameters are [-1.55127773 2.29738861] -2.7455558664318858 ;\n", + "Epoch 100/1000, Cost: 4.7713\n", + " and the parameters are [-1.55144013 2.29729668] -2.7456584760830727 ;\n", + "Epoch 100/1000, Cost: 6.0665\n", + " and the parameters are [-1.55143922 2.29738347] -2.7456877565331044 ;\n", + "Epoch 100/1000, Cost: 7.1662\n", + " and the parameters are [-1.55141216 2.29738748] -2.745785562709057 ;\n", + "Epoch 100/1000, Cost: 5.5044\n", + " and the parameters are [-1.55150423 2.29735821] -2.745874271875628 ;\n", + "Epoch 100/1000, Cost: 5.6082\n", + " and the parameters are [-1.55150963 2.29732918] -2.745966413964316 ;\n", + "Epoch 100/1000, Cost: 5.2333\n", + " and the parameters are [-1.55166907 2.29736938] -2.7459772973389103 ;\n", + "Epoch 100/1000, Cost: 6.0456\n", + " and the parameters are [-1.55169848 2.29751401] -2.7459233888979795 ;\n", + "Epoch 100/1000, Cost: 6.7404\n", + " and the parameters are [-1.55176841 2.29751556] -2.746014540550748 ;\n", + "Epoch 100/1000, Cost: 5.9034\n", + " and the parameters are [-1.55182127 2.29768494] -2.745943861163901 ;\n", + "Epoch 100/1000, Cost: 3.2097\n", + " and the parameters are [-1.55188177 2.2977418 ] -2.745960907311223 ;\n", + "Epoch 100/1000, Cost: 5.2941\n", + " and the parameters are [-1.55187683 2.2978308 ] -2.7459799667338474 ;\n", + "Epoch 100/1000, Cost: 4.6538\n", + " and the parameters are [-1.55189299 2.29784308] -2.7460787685834016 ;\n", + "Epoch 100/1000, Cost: 7.5548\n", + " and the parameters are [-1.55189068 2.29779877] -2.7462289655873353 ;\n", + "Epoch 100/1000, Cost: 6.4033\n", + " and the parameters are [-1.55183241 2.29779314] -2.746342614920062 ;\n", + "Epoch 100/1000, Cost: 7.9344\n", + " and the parameters are [-1.55188474 2.29779937] -2.7464275493489887 ;\n", + "Epoch 100/1000, Cost: 5.4174\n", + " and the parameters are [-1.55196513 2.29781617] -2.746503664618917 ;\n", + "Epoch 100/1000, Cost: 5.2478\n", + " and the parameters are [-1.55198269 2.29790446] -2.746544934412577 ;\n", + "Epoch 100/1000, Cost: 6.0904\n", + " and the parameters are [-1.55202006 2.29790654] -2.7466194673766573 ;\n", + "Epoch 100/1000, Cost: 5.5596\n", + " and the parameters are [-1.55198394 2.29811367] -2.746591866842111 ;\n", + "Epoch 100/1000, Cost: 6.3363\n", + " and the parameters are [-1.55210458 2.29806574] -2.746649372199545 ;\n", + "Epoch 100/1000, Cost: 8.1438\n", + " and the parameters are [-1.55222348 2.2980125 ] -2.7467474114197756 ;\n", + "Epoch 100/1000, Cost: 8.9069\n", + " and the parameters are [-1.55227386 2.29805624] -2.7467975682778816 ;\n", + "Epoch 100/1000, Cost: 3.8091\n", + " and the parameters are [-1.55223857 2.29810983] -2.7468706855281826 ;\n", + "Epoch 100/1000, Cost: 4.8787\n", + " and the parameters are [-1.55224672 2.29818567] -2.746939919395815 ;\n", + "Epoch 100/1000, Cost: 5.8835\n", + " and the parameters are [-1.55232322 2.29828793] -2.7469001466196095 ;\n", + "Epoch 100/1000, Cost: 6.9001\n", + " and the parameters are [-1.55234674 2.29818185] -2.747094179196639 ;\n", + "Epoch 100/1000, Cost: 7.3590\n", + " and the parameters are [-1.55225076 2.29842593] -2.747054305390054 ;\n", + "Epoch 100/1000, Cost: 4.3530\n", + " and the parameters are [-1.55221908 2.29854207] -2.747107337773321 ;\n", + "Epoch 100/1000, Cost: 5.7029\n", + " and the parameters are [-1.55226918 2.29847595] -2.747191807730002 ;\n", + "Epoch 100/1000, Cost: 6.0652\n", + " and the parameters are [-1.55227692 2.29842627] -2.7473566488170214 ;\n", + "Epoch 100/1000, Cost: 4.5295\n", + " and the parameters are [-1.55231063 2.29846126] -2.747416356628078 ;\n", + "Epoch 100/1000, Cost: 6.2079\n", + " and the parameters are [-1.55232035 2.29841816] -2.747527288565819 ;\n", + "Epoch 100/1000, Cost: 4.9978\n", + " and the parameters are [-1.55235802 2.29843161] -2.747584247974712 ;\n", + "Epoch 100/1000, Cost: 5.0085\n", + " and the parameters are [-1.55242372 2.29846084] -2.7476309782081256 ;\n", + "Epoch 100/1000, Cost: 3.6745\n", + " and the parameters are [-1.55243071 2.29852629] -2.747693305073033 ;\n", + "Epoch 100/1000, Cost: 10.0574\n", + " and the parameters are [-1.55250611 2.29840768] -2.7478364181625623 ;\n", + "Epoch 100/1000, Cost: 6.6163\n", + " and the parameters are [-1.55253352 2.29844138] -2.747917787470469 ;\n", + "Epoch 100/1000, Cost: 7.2617\n", + " and the parameters are [-1.55260807 2.29841291] -2.747997034763445 ;\n", + "Epoch 100/1000, Cost: 5.7480\n", + " and the parameters are [-1.55271286 2.2983746 ] -2.748086168079099 ;\n", + "Epoch 100/1000, Cost: 5.6315\n", + " and the parameters are [-1.55273524 2.29831787] -2.748230608219922 ;\n", + "Epoch 100/1000, Cost: 7.1706\n", + " and the parameters are [-1.55274451 2.29832771] -2.748336970660855 ;\n", + "Epoch 100/1000, Cost: 5.4641\n", + " and the parameters are [-1.55283387 2.29823718] -2.748464622762512 ;\n", + "Epoch 100/1000, Cost: 5.4899\n", + " and the parameters are [-1.55289346 2.29838518] -2.7484303275439497 ;\n", + "Epoch 100/1000, Cost: 3.3924\n", + " and the parameters are [-1.55289117 2.29855435] -2.7484067006998645 ;\n", + "Epoch 100/1000, Cost: 6.4049\n", + " and the parameters are [-1.55301952 2.29838803] -2.748572842276897 ;\n", + "Epoch 100/1000, Cost: 5.5059\n", + " and the parameters are [-1.55308986 2.29830847] -2.748708315760653 ;\n", + "Epoch 100/1000, Cost: 4.1460\n", + " and the parameters are [-1.55305723 2.29839457] -2.7487675788399315 ;\n", + "Epoch 100/1000, Cost: 5.3387\n", + " and the parameters are [-1.5530661 2.29859022] -2.748756040692384 ;\n", + "Epoch 100/1000, Cost: 7.7441\n", + " and the parameters are [-1.55311161 2.29848336] -2.7489204501574176 ;\n", + "Epoch 100/1000, Cost: 7.3217\n", + " and the parameters are [-1.5532544 2.29831308] -2.749056623239069 ;\n", + "Epoch 100/1000, Cost: 4.8249\n", + " and the parameters are [-1.55329738 2.29827476] -2.749185126106018 ;\n", + "Epoch 100/1000, Cost: 5.1509\n", + " and the parameters are [-1.55331955 2.29846471] -2.7491430805361627 ;\n", + "Epoch 100/1000, Cost: 5.0305\n", + " and the parameters are [-1.55340291 2.29855734] -2.7491340970835183 ;\n", + "Epoch 100/1000, Cost: 4.3286\n", + " and the parameters are [-1.55338902 2.2986745 ] -2.749183929763636 ;\n", + "Epoch 100/1000, Cost: 6.6648\n", + " and the parameters are [-1.55350642 2.29856289] -2.749286694998718 ;\n", + "Epoch 100/1000, Cost: 4.7198\n", + " and the parameters are [-1.5535304 2.29864172] -2.749332903022253 ;\n", + "Epoch 100/1000, Cost: 4.5308\n", + " and the parameters are [-1.55353052 2.29885534] -2.7492913347847705 ;\n", + "Epoch 100/1000, Cost: 2.6561\n", + " and the parameters are [-1.55354822 2.29892087] -2.7493242513505116 ;\n", + "Epoch 100/1000, Cost: 7.4325\n", + " and the parameters are [-1.55356083 2.29898874] -2.7493587968344824 ;\n", + "Epoch 100/1000, Cost: 6.1569\n", + " and the parameters are [-1.55351918 2.29900213] -2.7494698068828085 ;\n", + "Epoch 100/1000, Cost: 5.6840\n", + " and the parameters are [-1.55349579 2.29901151] -2.749562491286358 ;\n", + "Epoch 100/1000, Cost: 6.6228\n", + " and the parameters are [-1.55352056 2.29909845] -2.749576700865722 ;\n", + "Epoch 100/1000, Cost: 4.7371\n", + " and the parameters are [-1.55360661 2.29904942] -2.749688800586929 ;\n", + "Epoch 100/1000, Cost: 6.9809\n", + " and the parameters are [-1.55365511 2.29909939] -2.7497423407426194 ;\n", + "Epoch 100/1000, Cost: 4.2248\n", + " and the parameters are [-1.5536166 2.29920345] -2.7497865293839427 ;\n", + "Epoch 100/1000, Cost: 6.6106\n", + " and the parameters are [-1.55372082 2.29927925] -2.7497785488896658 ;\n", + "Epoch 100/1000, Cost: 4.6174\n", + " and the parameters are [-1.5537161 2.29929611] -2.7498868052404752 ;\n", + "Epoch 100/1000, Cost: 4.4100\n", + " and the parameters are [-1.55373406 2.29936829] -2.7499354795364312 ;\n", + "Epoch 100/1000, Cost: 4.6764\n", + " and the parameters are [-1.55377658 2.2993968 ] -2.7499888285936396 ;\n", + "Epoch 100/1000, Cost: 8.1997\n", + " and the parameters are [-1.55390623 2.29924374] -2.750154320172638 ;\n", + "Epoch 100/1000, Cost: 6.1489\n", + " and the parameters are [-1.55391734 2.29924747] -2.7502911091946305 ;\n", + "Epoch 100/1000, Cost: 4.3240\n", + " and the parameters are [-1.5539604 2.29933366] -2.7503253849501337 ;\n", + "Epoch 100/1000, Cost: 5.6179\n", + " and the parameters are [-1.55394345 2.29957196] -2.7502780191646186 ;\n", + "Epoch 100/1000, Cost: 4.6958\n", + " and the parameters are [-1.5539705 2.29954057] -2.7504016482031868 ;\n", + "Epoch 100/1000, Cost: 4.9027\n", + " and the parameters are [-1.55397884 2.2997538 ] -2.7503397600814035 ;\n", + "Epoch 100/1000, Cost: 4.3243\n", + " and the parameters are [-1.55400942 2.29983477] -2.750386137439532 ;\n", + "Epoch 100/1000, Cost: 5.5687\n", + " and the parameters are [-1.55401054 2.29989195] -2.7504407246793616 ;\n", + "Epoch 100/1000, Cost: 5.7269\n", + " and the parameters are [-1.55400796 2.2999742 ] -2.7504827770687137 ;\n", + "Epoch 100/1000, Cost: 6.5657\n", + " and the parameters are [-1.5542223 2.29997629] -2.75048487531864 ;\n", + "Epoch 100/1000, Cost: 3.7138\n", + " and the parameters are [-1.55426681 2.3000956 ] -2.750475670519229 ;\n", + "Epoch 100/1000, Cost: 5.6020\n", + " and the parameters are [-1.55431196 2.30018668] -2.7505003583611938 ;\n", + "Epoch 100/1000, Cost: 5.4617\n", + " and the parameters are [-1.55437143 2.30014846] -2.750600931134213 ;\n", + "Epoch 100/1000, Cost: 5.8827\n", + " and the parameters are [-1.55447468 2.30015472] -2.7506546922025032 ;\n", + "Epoch 100/1000, Cost: 6.7247\n", + " and the parameters are [-1.55447222 2.30019533] -2.750743499520008 ;\n", + "Epoch 100/1000, Cost: 5.8314\n", + " and the parameters are [-1.55441729 2.30030113] -2.7508126517507048 ;\n", + "Epoch 100/1000, Cost: 5.3691\n", + " and the parameters are [-1.55439756 2.30027217] -2.7509648656760057 ;\n", + "Epoch 100/1000, Cost: 4.4541\n", + " and the parameters are [-1.55443164 2.30035275] -2.750983114918675 ;\n", + "Epoch 100/1000, Cost: 5.6541\n", + " and the parameters are [-1.55459295 2.30037502] -2.7509995508825584 ;\n", + "Epoch 100/1000, Cost: 6.7889\n", + " and the parameters are [-1.55457323 2.30048067] -2.751045413115087 ;\n", + "Epoch 110/1000, Cost: 5.2208\n", + " and the parameters are [-1.61290331 2.36864316] -2.8543365254995465 ;\n", + "Epoch 110/1000, Cost: 5.3977\n", + " and the parameters are [-1.61291724 2.3686669 ] -2.854387692443739 ;\n", + "Epoch 110/1000, Cost: 4.6225\n", + " and the parameters are [-1.61290881 2.36876984] -2.8544241947336486 ;\n", + "Epoch 110/1000, Cost: 3.1011\n", + " and the parameters are [-1.61292977 2.36882181] -2.8544718581972788 ;\n", + "Epoch 110/1000, Cost: 6.2304\n", + " and the parameters are [-1.61299908 2.36880178] -2.8545454105508936 ;\n", + "Epoch 110/1000, Cost: 4.8454\n", + " and the parameters are [-1.61302778 2.36880536] -2.8546466532453265 ;\n", + "Epoch 110/1000, Cost: 8.0427\n", + " and the parameters are [-1.61302236 2.36886899] -2.8546574073175077 ;\n", + "Epoch 110/1000, Cost: 4.2739\n", + " and the parameters are [-1.61304315 2.36884559] -2.8547765659630913 ;\n", + "Epoch 110/1000, Cost: 5.0419\n", + " and the parameters are [-1.61308995 2.36895859] -2.8547915719603303 ;\n", + "Epoch 110/1000, Cost: 6.8811\n", + " and the parameters are [-1.61309506 2.36894552] -2.854898413780466 ;\n", + "Epoch 110/1000, Cost: 6.6160\n", + " and the parameters are [-1.61300309 2.36909102] -2.8549263178505155 ;\n", + "Epoch 110/1000, Cost: 8.1166\n", + " and the parameters are [-1.61315529 2.36899854] -2.8550175080496234 ;\n", + "Epoch 110/1000, Cost: 4.5745\n", + " and the parameters are [-1.61319982 2.36913346] -2.8550074387059143 ;\n", + "Epoch 110/1000, Cost: 5.0662\n", + " and the parameters are [-1.61319951 2.36916882] -2.8551006419277836 ;\n", + "Epoch 110/1000, Cost: 4.9173\n", + " and the parameters are [-1.61317785 2.36916952] -2.855214945016127 ;\n", + "Epoch 110/1000, Cost: 7.4743\n", + " and the parameters are [-1.6132378 2.36902171] -2.855396225766914 ;\n", + "Epoch 110/1000, Cost: 5.4934\n", + " and the parameters are [-1.6133502 2.36907275] -2.8553898907536333 ;\n", + "Epoch 110/1000, Cost: 8.9300\n", + " and the parameters are [-1.61335229 2.36911477] -2.8554359772667586 ;\n", + "Epoch 110/1000, Cost: 4.6163\n", + " and the parameters are [-1.61331497 2.36919295] -2.855493547209193 ;\n", + "Epoch 110/1000, Cost: 5.3271\n", + " and the parameters are [-1.61347652 2.36909181] -2.8555733708325577 ;\n", + "Epoch 110/1000, Cost: 5.8773\n", + " and the parameters are [-1.61362957 2.36900093] -2.8556714204473495 ;\n", + "Epoch 110/1000, Cost: 5.9683\n", + " and the parameters are [-1.61377377 2.3689827 ] -2.8557081492996246 ;\n", + "Epoch 110/1000, Cost: 4.2921\n", + " and the parameters are [-1.61378535 2.36911904] -2.8556876493614602 ;\n", + "Epoch 110/1000, Cost: 4.1088\n", + " and the parameters are [-1.6137509 2.36923326] -2.8557371450646096 ;\n", + "Epoch 110/1000, Cost: 5.5213\n", + " and the parameters are [-1.61380811 2.36931213] -2.8557415564269357 ;\n", + "Epoch 110/1000, Cost: 6.3041\n", + " and the parameters are [-1.61375247 2.36937014] -2.8557867115479794 ;\n", + "Epoch 110/1000, Cost: 7.8190\n", + " and the parameters are [-1.61377041 2.36940446] -2.855850752384216 ;\n", + "Epoch 110/1000, Cost: 7.2259\n", + " and the parameters are [-1.61386077 2.36922948] -2.8560219130267717 ;\n", + "Epoch 110/1000, Cost: 7.5120\n", + " and the parameters are [-1.61395042 2.36908379] -2.856143647576581 ;\n", + "Epoch 110/1000, Cost: 3.5439\n", + " and the parameters are [-1.61398211 2.36911778] -2.85620422387546 ;\n", + "Epoch 110/1000, Cost: 6.8598\n", + " and the parameters are [-1.61392381 2.36918666] -2.8562783724938785 ;\n", + "Epoch 110/1000, Cost: 5.4074\n", + " and the parameters are [-1.61394029 2.36918684] -2.85637701563181 ;\n", + "Epoch 110/1000, Cost: 7.6618\n", + " and the parameters are [-1.61388627 2.36922529] -2.8564877119481693 ;\n", + "Epoch 110/1000, Cost: 8.0310\n", + " and the parameters are [-1.61389491 2.36904948] -2.8566922051892236 ;\n", + "Epoch 110/1000, Cost: 4.2186\n", + " and the parameters are [-1.61396138 2.36911319] -2.8567195357968744 ;\n", + "Epoch 110/1000, Cost: 2.6856\n", + " and the parameters are [-1.61403302 2.36915693] -2.85673694819823 ;\n", + "Epoch 110/1000, Cost: 4.8291\n", + " and the parameters are [-1.61409235 2.36917745] -2.856807098847402 ;\n", + "Epoch 110/1000, Cost: 6.3152\n", + " and the parameters are [-1.61420626 2.36920926] -2.8568065695655593 ;\n", + "Epoch 110/1000, Cost: 3.9597\n", + " and the parameters are [-1.61428192 2.36925621] -2.8568403657683357 ;\n", + "Epoch 110/1000, Cost: 4.7993\n", + " and the parameters are [-1.61429196 2.36937323] -2.8568447173128977 ;\n", + "Epoch 110/1000, Cost: 3.9518\n", + " and the parameters are [-1.61430375 2.36945554] -2.8568777226807356 ;\n", + "Epoch 110/1000, Cost: 5.7083\n", + " and the parameters are [-1.61443499 2.3693363 ] -2.857001777878285 ;\n", + "Epoch 110/1000, Cost: 4.1272\n", + " and the parameters are [-1.61441182 2.36942968] -2.8570193742794636 ;\n", + "Epoch 110/1000, Cost: 3.5425\n", + " and the parameters are [-1.61442487 2.36952372] -2.8570454849141225 ;\n", + "Epoch 110/1000, Cost: 5.7428\n", + " and the parameters are [-1.61459218 2.36940708] -2.8571458739937303 ;\n", + "Epoch 110/1000, Cost: 4.7834\n", + " and the parameters are [-1.61457046 2.36953423] -2.8571539731994067 ;\n", + "Epoch 110/1000, Cost: 4.4458\n", + " and the parameters are [-1.61449953 2.36968819] -2.8571989954595387 ;\n", + "Epoch 110/1000, Cost: 4.1587\n", + " and the parameters are [-1.61450712 2.36980653] -2.857221703064876 ;\n", + "Epoch 110/1000, Cost: 6.1310\n", + " and the parameters are [-1.61458823 2.36980415] -2.8573040458811936 ;\n", + "Epoch 110/1000, Cost: 4.3776\n", + " and the parameters are [-1.61461987 2.36978774] -2.8574138546351286 ;\n", + "Epoch 110/1000, Cost: 6.9804\n", + " and the parameters are [-1.61465159 2.36980298] -2.8574555901173095 ;\n", + "Epoch 110/1000, Cost: 9.3759\n", + " and the parameters are [-1.61468683 2.36991302] -2.85744065309306 ;\n", + "Epoch 110/1000, Cost: 6.7590\n", + " and the parameters are [-1.6147812 2.36998026] -2.8574102601093077 ;\n", + "Epoch 110/1000, Cost: 6.1086\n", + " and the parameters are [-1.61480681 2.37004676] -2.857448609169408 ;\n", + "Epoch 110/1000, Cost: 5.2315\n", + " and the parameters are [-1.61491107 2.36993666] -2.8575749959110905 ;\n", + "Epoch 110/1000, Cost: 7.1338\n", + " and the parameters are [-1.6150521 2.3699233] -2.8576133753351125 ;\n", + "Epoch 110/1000, Cost: 4.6170\n", + " and the parameters are [-1.61506169 2.3699067 ] -2.857741031045058 ;\n", + "Epoch 110/1000, Cost: 4.9670\n", + " and the parameters are [-1.61501914 2.37006692] -2.8577558447706313 ;\n", + "Epoch 110/1000, Cost: 5.7590\n", + " and the parameters are [-1.61501913 2.37006349] -2.857860614863711 ;\n", + "Epoch 110/1000, Cost: 5.3437\n", + " and the parameters are [-1.61505388 2.370135 ] -2.8579004138314272 ;\n", + "Epoch 110/1000, Cost: 7.0396\n", + " and the parameters are [-1.61510038 2.37008942] -2.857991467191338 ;\n", + "Epoch 110/1000, Cost: 4.0815\n", + " and the parameters are [-1.61518521 2.37004368] -2.8580780989206835 ;\n", + "Epoch 110/1000, Cost: 5.4836\n", + " and the parameters are [-1.61519759 2.37015363] -2.858103039191176 ;\n", + "Epoch 110/1000, Cost: 5.8334\n", + " and the parameters are [-1.61533106 2.37019567] -2.858112898281398 ;\n", + "Epoch 110/1000, Cost: 4.0917\n", + " and the parameters are [-1.6153613 2.37018981] -2.858197527212899 ;\n", + "Epoch 110/1000, Cost: 8.7989\n", + " and the parameters are [-1.61545708 2.3701104 ] -2.8582990586326704 ;\n", + "Epoch 110/1000, Cost: 4.5291\n", + " and the parameters are [-1.61539582 2.37017095] -2.8583923746998807 ;\n", + "Epoch 110/1000, Cost: 5.2259\n", + " and the parameters are [-1.61542327 2.37022982] -2.8584498965380187 ;\n", + "Epoch 110/1000, Cost: 5.2288\n", + " and the parameters are [-1.61546504 2.37028386] -2.8584958972105787 ;\n", + "Epoch 110/1000, Cost: 7.3345\n", + " and the parameters are [-1.61563611 2.37019865] -2.8585643006870853 ;\n", + "Epoch 110/1000, Cost: 4.5496\n", + " and the parameters are [-1.61562598 2.37030805] -2.858590036279923 ;\n", + "Epoch 110/1000, Cost: 4.4336\n", + " and the parameters are [-1.61564745 2.37044509] -2.858585451000335 ;\n", + "Epoch 110/1000, Cost: 5.4409\n", + " and the parameters are [-1.61566467 2.37048349] -2.8586467503751334 ;\n", + "Epoch 110/1000, Cost: 6.5199\n", + " and the parameters are [-1.61577357 2.3704228 ] -2.858720074991614 ;\n", + "Epoch 110/1000, Cost: 6.9153\n", + " and the parameters are [-1.61589728 2.37033072] -2.858826156161112 ;\n", + "Epoch 110/1000, Cost: 4.3028\n", + " and the parameters are [-1.61584923 2.37043071] -2.8588596178587253 ;\n", + "Epoch 110/1000, Cost: 5.1488\n", + " and the parameters are [-1.61581794 2.37055376] -2.8588929384994652 ;\n", + "Epoch 110/1000, Cost: 6.1961\n", + " and the parameters are [-1.6158053 2.37061771] -2.8589060847923022 ;\n", + "Epoch 110/1000, Cost: 5.9318\n", + " and the parameters are [-1.61587864 2.37060354] -2.858983479215287 ;\n", + "Epoch 110/1000, Cost: 3.6718\n", + " and the parameters are [-1.6159346 2.37063104] -2.8590456095861754 ;\n", + "Epoch 110/1000, Cost: 5.4676\n", + " and the parameters are [-1.61589928 2.37069315] -2.8590994472323232 ;\n", + "Epoch 110/1000, Cost: 5.9044\n", + " and the parameters are [-1.61594799 2.37077999] -2.8591145651708927 ;\n", + "Epoch 110/1000, Cost: 3.3695\n", + " and the parameters are [-1.61592488 2.37092901] -2.8591137244646987 ;\n", + "Epoch 110/1000, Cost: 4.0546\n", + " and the parameters are [-1.61589737 2.37101043] -2.8591666088966674 ;\n", + "Epoch 110/1000, Cost: 5.9002\n", + " and the parameters are [-1.61587324 2.3711654 ] -2.859175896938646 ;\n", + "Epoch 110/1000, Cost: 3.5018\n", + " and the parameters are [-1.6158646 2.3712588] -2.859203773845759 ;\n", + "Epoch 110/1000, Cost: 5.5153\n", + " and the parameters are [-1.61598599 2.37128711] -2.8592051826857356 ;\n", + "Epoch 110/1000, Cost: 3.7967\n", + " and the parameters are [-1.61598905 2.37141242] -2.8592026186020565 ;\n", + "Epoch 110/1000, Cost: 2.9728\n", + " and the parameters are [-1.61598797 2.37147153] -2.8592602799790012 ;\n", + "Epoch 110/1000, Cost: 5.8139\n", + " and the parameters are [-1.61613118 2.3713141 ] -2.859423466067996 ;\n", + "Epoch 110/1000, Cost: 6.0842\n", + " and the parameters are [-1.61617185 2.37136087] -2.8594700672121416 ;\n", + "Epoch 110/1000, Cost: 6.7223\n", + " and the parameters are [-1.61609214 2.37150281] -2.8594532388228058 ;\n", + "Epoch 110/1000, Cost: 5.8168\n", + " and the parameters are [-1.61610165 2.37147557] -2.8595723575355216 ;\n", + "Epoch 110/1000, Cost: 5.6980\n", + " and the parameters are [-1.61611973 2.37154976] -2.8596174174935913 ;\n", + "Epoch 110/1000, Cost: 3.8204\n", + " and the parameters are [-1.61616567 2.37160263] -2.859651747984015 ;\n", + "Epoch 110/1000, Cost: 5.1906\n", + " and the parameters are [-1.61613275 2.37161952] -2.8597746673856355 ;\n", + "Epoch 110/1000, Cost: 5.4204\n", + " and the parameters are [-1.6161675 2.37162945] -2.8598650727521613 ;\n", + "Epoch 110/1000, Cost: 5.2935\n", + " and the parameters are [-1.6161884 2.37159315] -2.859947126918803 ;\n", + "Epoch 110/1000, Cost: 5.5551\n", + " and the parameters are [-1.61617571 2.37175629] -2.8599245818487455 ;\n", + "Epoch 110/1000, Cost: 4.4250\n", + " and the parameters are [-1.61619984 2.37174513] -2.8600270014720146 ;\n", + "Epoch 110/1000, Cost: 4.7439\n", + " and the parameters are [-1.61616776 2.37184522] -2.860061864273292 ;\n", + "Epoch 110/1000, Cost: 8.1128\n", + " and the parameters are [-1.61619321 2.37190298] -2.8601013386735996 ;\n", + "Epoch 110/1000, Cost: 6.7425\n", + " and the parameters are [-1.6162106 2.37181189] -2.86023735627523 ;\n", + "Epoch 110/1000, Cost: 5.5757\n", + " and the parameters are [-1.61623785 2.37179705] -2.860346126018241 ;\n", + "Epoch 110/1000, Cost: 4.2861\n", + " and the parameters are [-1.61624588 2.37185302] -2.860403901989232 ;\n", + "Epoch 110/1000, Cost: 8.9695\n", + " and the parameters are [-1.61631829 2.37186066] -2.8604458812477715 ;\n", + "Epoch 110/1000, Cost: 7.8690\n", + " and the parameters are [-1.61639898 2.37184687] -2.860521417197276 ;\n", + "Epoch 110/1000, Cost: 6.7683\n", + " and the parameters are [-1.61642749 2.37193824] -2.8605504075037027 ;\n", + "Epoch 110/1000, Cost: 3.7716\n", + " and the parameters are [-1.61643799 2.37203671] -2.8605713275553937 ;\n", + "Epoch 110/1000, Cost: 3.6582\n", + " and the parameters are [-1.61644636 2.3720812 ] -2.8606316717292244 ;\n", + "Epoch 110/1000, Cost: 5.9301\n", + " and the parameters are [-1.61653727 2.37209374] -2.8606901648268837 ;\n", + "Epoch 110/1000, Cost: 8.3059\n", + " and the parameters are [-1.61658643 2.37202554] -2.860795438513119 ;\n", + "Epoch 110/1000, Cost: 6.7360\n", + " and the parameters are [-1.61668525 2.37214167] -2.8607530802190704 ;\n", + "Epoch 110/1000, Cost: 6.7689\n", + " and the parameters are [-1.61669541 2.37227441] -2.860760507662422 ;\n", + "Epoch 110/1000, Cost: 4.1178\n", + " and the parameters are [-1.61664687 2.37241754] -2.8607793834174733 ;\n", + "Epoch 110/1000, Cost: 4.7685\n", + " and the parameters are [-1.61665182 2.37244384] -2.860869052177765 ;\n", + "Epoch 110/1000, Cost: 3.6060\n", + " and the parameters are [-1.61665922 2.37254826] -2.860896049164701 ;\n", + "Epoch 110/1000, Cost: 6.1259\n", + " and the parameters are [-1.61669149 2.37259324] -2.8609721615691623 ;\n", + "Epoch 110/1000, Cost: 6.1985\n", + " and the parameters are [-1.61671037 2.37248974] -2.8611267359186776 ;\n", + "Epoch 110/1000, Cost: 6.2026\n", + " and the parameters are [-1.61679187 2.37254153] -2.8611504994406407 ;\n", + "Epoch 110/1000, Cost: 6.2409\n", + " and the parameters are [-1.61683128 2.37272683] -2.861090137412585 ;\n", + "Epoch 110/1000, Cost: 6.4058\n", + " and the parameters are [-1.61683774 2.37283857] -2.8610765564968474 ;\n", + "Epoch 110/1000, Cost: 4.8026\n", + " and the parameters are [-1.61689118 2.37281225] -2.8611447550724973 ;\n", + "Epoch 110/1000, Cost: 5.5137\n", + " and the parameters are [-1.61700231 2.37273303] -2.861220783106057 ;\n", + "Epoch 110/1000, Cost: 7.0895\n", + " and the parameters are [-1.6170407 2.37279441] -2.861246211107064 ;\n", + "Epoch 110/1000, Cost: 4.3853\n", + " and the parameters are [-1.61703586 2.37283356] -2.861343907331389 ;\n", + "Epoch 110/1000, Cost: 5.6167\n", + " and the parameters are [-1.6170353 2.37297263] -2.861347581666591 ;\n", + "Epoch 110/1000, Cost: 7.5416\n", + " and the parameters are [-1.61717881 2.3729013 ] -2.8614470250659303 ;\n", + "Epoch 110/1000, Cost: 7.1417\n", + " and the parameters are [-1.61719696 2.37290099] -2.8615377870966276 ;\n", + "Epoch 110/1000, Cost: 3.2022\n", + " and the parameters are [-1.61720635 2.37294987] -2.8616012140863507 ;\n", + "Epoch 110/1000, Cost: 3.8168\n", + " and the parameters are [-1.61723031 2.37300202] -2.861657924254433 ;\n", + "Epoch 110/1000, Cost: 6.4479\n", + " and the parameters are [-1.61715675 2.37306585] -2.8617540029691066 ;\n", + "Epoch 110/1000, Cost: 7.4123\n", + " and the parameters are [-1.61720752 2.3729805 ] -2.8618957451120752 ;\n", + "Epoch 110/1000, Cost: 5.7569\n", + " and the parameters are [-1.61720461 2.37297245] -2.8620241479698185 ;\n", + "Epoch 110/1000, Cost: 3.9816\n", + " and the parameters are [-1.61717994 2.37310049] -2.862050164651839 ;\n", + "Epoch 110/1000, Cost: 3.9512\n", + " and the parameters are [-1.6172082 2.37318659] -2.8620776474895466 ;\n", + "Epoch 110/1000, Cost: 5.4105\n", + " and the parameters are [-1.61727081 2.37322378] -2.8621205078856793 ;\n", + "Epoch 110/1000, Cost: 5.1297\n", + " and the parameters are [-1.61728165 2.37322822] -2.8622340509211526 ;\n", + "Epoch 110/1000, Cost: 4.1317\n", + " and the parameters are [-1.6173635 2.37321017] -2.862289718683545 ;\n", + "Epoch 110/1000, Cost: 5.7704\n", + " and the parameters are [-1.61736638 2.37318648] -2.86241229616331 ;\n", + "Epoch 110/1000, Cost: 6.9160\n", + " and the parameters are [-1.61745728 2.37327689] -2.862358959964163 ;\n", + "Epoch 110/1000, Cost: 6.3252\n", + " and the parameters are [-1.61751111 2.37335873] -2.8623753568858015 ;\n", + "Epoch 110/1000, Cost: 5.4258\n", + " and the parameters are [-1.61749941 2.37327462] -2.8625241290939853 ;\n", + "Epoch 110/1000, Cost: 6.6370\n", + " and the parameters are [-1.61761122 2.37316348] -2.86264844977863 ;\n", + "Epoch 110/1000, Cost: 4.0449\n", + " and the parameters are [-1.61768646 2.37321871] -2.862645827836784 ;\n", + "Epoch 110/1000, Cost: 4.1053\n", + " and the parameters are [-1.61771944 2.37325651] -2.8627028896747353 ;\n", + "Epoch 110/1000, Cost: 3.3331\n", + " and the parameters are [-1.61774668 2.37338541] -2.8627012941606176 ;\n", + "Epoch 110/1000, Cost: 3.8531\n", + " and the parameters are [-1.61776317 2.37351985] -2.8627077062131194 ;\n", + "Epoch 110/1000, Cost: 5.9966\n", + " and the parameters are [-1.61784573 2.37343159] -2.8628404558245575 ;\n", + "Epoch 110/1000, Cost: 6.9554\n", + " and the parameters are [-1.61787618 2.37351659] -2.8628700950099457 ;\n", + "Epoch 110/1000, Cost: 3.6561\n", + " and the parameters are [-1.6178903 2.37358195] -2.862905146296523 ;\n", + "Epoch 110/1000, Cost: 4.3093\n", + " and the parameters are [-1.61789457 2.37364523] -2.862965618141547 ;\n", + "Epoch 110/1000, Cost: 4.4574\n", + " and the parameters are [-1.61785704 2.37378432] -2.8629640519299993 ;\n", + "Epoch 110/1000, Cost: 5.9221\n", + " and the parameters are [-1.61792422 2.37385223] -2.862991553246629 ;\n", + "Epoch 110/1000, Cost: 5.3098\n", + " and the parameters are [-1.61795344 2.37392104] -2.8630417687527148 ;\n", + "Epoch 110/1000, Cost: 4.7838\n", + " and the parameters are [-1.61798645 2.37398489] -2.863091800297042 ;\n", + "Epoch 110/1000, Cost: 4.4559\n", + " and the parameters are [-1.61803967 2.37404 ] -2.863131341196851 ;\n", + "Epoch 110/1000, Cost: 5.4904\n", + " and the parameters are [-1.61804988 2.37407247] -2.8632052608272525 ;\n", + "Epoch 110/1000, Cost: 5.5304\n", + " and the parameters are [-1.61810409 2.37405429] -2.8633005394606323 ;\n", + "Epoch 110/1000, Cost: 2.4012\n", + " and the parameters are [-1.61811709 2.37415571] -2.863308456775791 ;\n", + "Epoch 110/1000, Cost: 3.7367\n", + " and the parameters are [-1.61817337 2.37422633] -2.8633269451372074 ;\n", + "Epoch 110/1000, Cost: 5.1911\n", + " and the parameters are [-1.61830952 2.3742261 ] -2.8633452288750685 ;\n", + "Epoch 110/1000, Cost: 5.7731\n", + " and the parameters are [-1.61831578 2.37422796] -2.863467358367143 ;\n", + "Epoch 110/1000, Cost: 5.5919\n", + " and the parameters are [-1.61833621 2.37418779] -2.863597351268497 ;\n", + "Epoch 110/1000, Cost: 7.5841\n", + " and the parameters are [-1.6183101 2.37432209] -2.863583442382445 ;\n", + "Epoch 110/1000, Cost: 6.8306\n", + " and the parameters are [-1.61836078 2.37437469] -2.8636087073472267 ;\n", + "Epoch 110/1000, Cost: 6.8515\n", + " and the parameters are [-1.61846269 2.3742893 ] -2.86371241457888 ;\n", + "Epoch 110/1000, Cost: 7.8567\n", + " and the parameters are [-1.61843752 2.37427904] -2.863798191716853 ;\n", + "Epoch 110/1000, Cost: 4.7913\n", + " and the parameters are [-1.61843034 2.37436177] -2.8638535074987446 ;\n", + "Epoch 110/1000, Cost: 5.3493\n", + " and the parameters are [-1.61846177 2.37432832] -2.8639694844308883 ;\n", + "Epoch 110/1000, Cost: 3.7853\n", + " and the parameters are [-1.61839917 2.37451014] -2.8639514830031847 ;\n", + "Epoch 110/1000, Cost: 5.9925\n", + " and the parameters are [-1.61847652 2.37457661] -2.863965318909473 ;\n", + "Epoch 110/1000, Cost: 8.5609\n", + " and the parameters are [-1.61837601 2.37449106] -2.864133583560642 ;\n", + "Epoch 110/1000, Cost: 5.4848\n", + " and the parameters are [-1.61837554 2.37457899] -2.864157196954834 ;\n", + "Epoch 110/1000, Cost: 3.9263\n", + " and the parameters are [-1.61836493 2.37466661] -2.86420367332196 ;\n", + "Epoch 110/1000, Cost: 5.9702\n", + " and the parameters are [-1.61846735 2.3746989 ] -2.8642343998461297 ;\n", + "Epoch 110/1000, Cost: 4.1124\n", + " and the parameters are [-1.6184551 2.37480049] -2.864261468490471 ;\n", + "Epoch 110/1000, Cost: 6.7953\n", + " and the parameters are [-1.6183747 2.37502962] -2.864220490340317 ;\n", + "Epoch 110/1000, Cost: 4.7591\n", + " and the parameters are [-1.61834804 2.37512923] -2.8642595408635403 ;\n", + "Epoch 110/1000, Cost: 4.6474\n", + " and the parameters are [-1.61833605 2.37528929] -2.8642273270322516 ;\n", + "Epoch 110/1000, Cost: 5.1840\n", + " and the parameters are [-1.61839334 2.37529875] -2.8642662718198735 ;\n", + "Epoch 110/1000, Cost: 6.3782\n", + " and the parameters are [-1.61837602 2.37541749] -2.8642921159912174 ;\n", + "Epoch 110/1000, Cost: 6.7932\n", + " and the parameters are [-1.61843724 2.37540217] -2.8643462476200248 ;\n", + "Epoch 110/1000, Cost: 4.9106\n", + " and the parameters are [-1.61847143 2.3754878 ] -2.864373314977854 ;\n", + "Epoch 110/1000, Cost: 6.1335\n", + " and the parameters are [-1.61854562 2.37544487] -2.8644609478567884 ;\n", + "Epoch 110/1000, Cost: 5.4781\n", + " and the parameters are [-1.61863915 2.37549421] -2.8644675869365255 ;\n", + "Epoch 110/1000, Cost: 3.1445\n", + " and the parameters are [-1.6186561 2.3755132] -2.8645454293250805 ;\n", + "Epoch 110/1000, Cost: 5.8884\n", + " and the parameters are [-1.61871722 2.37555633] -2.8645789923209146 ;\n", + "Epoch 110/1000, Cost: 3.4864\n", + " and the parameters are [-1.61872305 2.37558262] -2.8646633414093388 ;\n", + "Epoch 110/1000, Cost: 5.1642\n", + " and the parameters are [-1.61873208 2.37566018] -2.864716013532216 ;\n", + "Epoch 110/1000, Cost: 6.7904\n", + " and the parameters are [-1.61883442 2.37552229] -2.8648746772782956 ;\n", + "Epoch 110/1000, Cost: 3.5345\n", + " and the parameters are [-1.61885358 2.37557284] -2.8649158478193897 ;\n", + "Epoch 110/1000, Cost: 4.5836\n", + " and the parameters are [-1.61886388 2.37566047] -2.8649461479888685 ;\n", + "Epoch 110/1000, Cost: 3.4622\n", + " and the parameters are [-1.61891973 2.37567221] -2.8649974285643705 ;\n", + "Epoch 110/1000, Cost: 4.3455\n", + " and the parameters are [-1.61887418 2.37578816] -2.8650285845500365 ;\n", + "Epoch 110/1000, Cost: 4.4152\n", + " and the parameters are [-1.61889585 2.37579096] -2.8651038951548724 ;\n", + "Epoch 110/1000, Cost: 5.8253\n", + " and the parameters are [-1.61894392 2.37575206] -2.8652054473326634 ;\n", + "Epoch 110/1000, Cost: 3.6904\n", + " and the parameters are [-1.61897625 2.37579102] -2.86526205582478 ;\n", + "Epoch 110/1000, Cost: 6.3905\n", + " and the parameters are [-1.61906112 2.37582602] -2.865268227470203 ;\n", + "Epoch 110/1000, Cost: 3.4254\n", + " and the parameters are [-1.61905311 2.37596533] -2.86525657523624 ;\n", + "Epoch 120/1000, Cost: 5.2650\n", + " and the parameters are [-1.6729389 2.43916709] -2.9607542516635688 ;\n", + "Epoch 120/1000, Cost: 5.6156\n", + " and the parameters are [-1.67296653 2.43915908] -2.9608498956595573 ;\n", + "Epoch 120/1000, Cost: 6.6811\n", + " and the parameters are [-1.67300746 2.43920121] -2.9608833194605655 ;\n", + "Epoch 120/1000, Cost: 2.9002\n", + " and the parameters are [-1.6730231 2.43933157] -2.9608608697852197 ;\n", + "Epoch 120/1000, Cost: 5.4460\n", + " and the parameters are [-1.67303978 2.43927138] -2.9609797991543316 ;\n", + "Epoch 120/1000, Cost: 4.4246\n", + " and the parameters are [-1.67302288 2.43934079] -2.9610330470208206 ;\n", + "Epoch 120/1000, Cost: 5.7764\n", + " and the parameters are [-1.67307857 2.43939334] -2.961068149849045 ;\n", + "Epoch 120/1000, Cost: 4.7997\n", + " and the parameters are [-1.67312644 2.43937704] -2.9611654368812053 ;\n", + "Epoch 120/1000, Cost: 5.6229\n", + " and the parameters are [-1.67308681 2.43944633] -2.9612478869781036 ;\n", + "Epoch 120/1000, Cost: 4.2800\n", + " and the parameters are [-1.67311139 2.43959424] -2.961212630835318 ;\n", + "Epoch 120/1000, Cost: 3.6035\n", + " and the parameters are [-1.67307886 2.43964049] -2.9613067274801366 ;\n", + "Epoch 120/1000, Cost: 5.7682\n", + " and the parameters are [-1.67302288 2.43976799] -2.9612852574574937 ;\n", + "Epoch 120/1000, Cost: 5.2452\n", + " and the parameters are [-1.67303029 2.4398112 ] -2.961330764834287 ;\n", + "Epoch 120/1000, Cost: 4.0607\n", + " and the parameters are [-1.67308365 2.43974273] -2.961458112164805 ;\n", + "Epoch 120/1000, Cost: 5.9794\n", + " and the parameters are [-1.67309306 2.43974701] -2.9615465061146913 ;\n", + "Epoch 120/1000, Cost: 7.2192\n", + " and the parameters are [-1.67305178 2.43990027] -2.9615477870611433 ;\n", + "Epoch 120/1000, Cost: 3.2678\n", + " and the parameters are [-1.67300661 2.44001164] -2.9615867545868464 ;\n", + "Epoch 120/1000, Cost: 1.8935\n", + " and the parameters are [-1.67303033 2.44008287] -2.9615980547594303 ;\n", + "Epoch 120/1000, Cost: 9.9737\n", + " and the parameters are [-1.67290224 2.43996256] -2.9618171111816545 ;\n", + "Epoch 120/1000, Cost: 6.1039\n", + " and the parameters are [-1.67293618 2.43994145] -2.961932590280053 ;\n", + "Epoch 120/1000, Cost: 5.6495\n", + " and the parameters are [-1.67295809 2.43994815] -2.9619958211651705 ;\n", + "Epoch 120/1000, Cost: 4.2773\n", + " and the parameters are [-1.67300274 2.43993153] -2.96209649575546 ;\n", + "Epoch 120/1000, Cost: 4.4538\n", + " and the parameters are [-1.67301816 2.43997236] -2.9621578363750034 ;\n", + "Epoch 120/1000, Cost: 5.9983\n", + " and the parameters are [-1.67305283 2.44001979] -2.9621895485318563 ;\n", + "Epoch 120/1000, Cost: 2.4580\n", + " and the parameters are [-1.67307468 2.44013289] -2.962177227929447 ;\n", + "Epoch 120/1000, Cost: 2.4536\n", + " and the parameters are [-1.67305368 2.44026035] -2.9621746451899216 ;\n", + "Epoch 120/1000, Cost: 5.1983\n", + " and the parameters are [-1.67309581 2.44036048] -2.962139314918075 ;\n", + "Epoch 120/1000, Cost: 4.3401\n", + " and the parameters are [-1.67311859 2.44035905] -2.9622129187601716 ;\n", + "Epoch 120/1000, Cost: 4.5605\n", + " and the parameters are [-1.67318496 2.44031549] -2.96232145214178 ;\n", + "Epoch 120/1000, Cost: 5.0455\n", + " and the parameters are [-1.67325705 2.44027039] -2.9624202041780294 ;\n", + "Epoch 120/1000, Cost: 3.1251\n", + " and the parameters are [-1.67329556 2.44036044] -2.9624142028902045 ;\n", + "Epoch 120/1000, Cost: 3.8265\n", + " and the parameters are [-1.67329436 2.44041925] -2.9624723625140947 ;\n", + "Epoch 120/1000, Cost: 5.4377\n", + " and the parameters are [-1.67331558 2.44054977] -2.962453950404983 ;\n", + "Epoch 120/1000, Cost: 3.4641\n", + " and the parameters are [-1.67327233 2.44068858] -2.9624838072825095 ;\n", + "Epoch 120/1000, Cost: 4.5660\n", + " and the parameters are [-1.67329822 2.44073746] -2.962541456642407 ;\n", + "Epoch 120/1000, Cost: 4.0394\n", + " and the parameters are [-1.67336783 2.44080074] -2.9625500771378976 ;\n", + "Epoch 120/1000, Cost: 4.7334\n", + " and the parameters are [-1.67336577 2.44087353] -2.9626008933426617 ;\n", + "Epoch 120/1000, Cost: 4.8690\n", + " and the parameters are [-1.673384 2.44092432] -2.9626624227245775 ;\n", + "Epoch 120/1000, Cost: 5.4927\n", + " and the parameters are [-1.6734092 2.44099328] -2.962667108465948 ;\n", + "Epoch 120/1000, Cost: 6.9875\n", + " and the parameters are [-1.67337134 2.44105727] -2.9627146398533113 ;\n", + "Epoch 120/1000, Cost: 6.6075\n", + " and the parameters are [-1.67337152 2.44097587] -2.962843895353312 ;\n", + "Epoch 120/1000, Cost: 4.8704\n", + " and the parameters are [-1.67340585 2.44108566] -2.962848746443244 ;\n", + "Epoch 120/1000, Cost: 8.3855\n", + " and the parameters are [-1.67331217 2.44134561] -2.9627529159352717 ;\n", + "Epoch 120/1000, Cost: 5.8248\n", + " and the parameters are [-1.67335448 2.44135802] -2.962837611499631 ;\n", + "Epoch 120/1000, Cost: 4.9712\n", + " and the parameters are [-1.67341983 2.44131564] -2.9629403275843864 ;\n", + "Epoch 120/1000, Cost: 3.8901\n", + " and the parameters are [-1.67344059 2.44137114] -2.9629696254042868 ;\n", + "Epoch 120/1000, Cost: 2.9369\n", + " and the parameters are [-1.67344447 2.44144492] -2.962986522746915 ;\n", + "Epoch 120/1000, Cost: 2.8332\n", + " and the parameters are [-1.67343915 2.44156853] -2.962981666677149 ;\n", + "Epoch 120/1000, Cost: 4.4093\n", + " and the parameters are [-1.67352323 2.44152683] -2.9630777633782888 ;\n", + "Epoch 120/1000, Cost: 5.5710\n", + " and the parameters are [-1.67358062 2.44152013] -2.9631273926017183 ;\n", + "Epoch 120/1000, Cost: 5.3031\n", + " and the parameters are [-1.67361501 2.44146567] -2.963263002926491 ;\n", + "Epoch 120/1000, Cost: 3.3339\n", + " and the parameters are [-1.67359051 2.44156446] -2.9632855289899758 ;\n", + "Epoch 120/1000, Cost: 6.2808\n", + " and the parameters are [-1.67372758 2.44138706] -2.9634232172611763 ;\n", + "Epoch 120/1000, Cost: 4.7797\n", + " and the parameters are [-1.67379605 2.44143096] -2.96345739544087 ;\n", + "Epoch 120/1000, Cost: 6.2590\n", + " and the parameters are [-1.67379316 2.44145274] -2.9635299309483605 ;\n", + "Epoch 120/1000, Cost: 3.8324\n", + " and the parameters are [-1.67381663 2.44148627] -2.963578511191025 ;\n", + "Epoch 120/1000, Cost: 6.3066\n", + " and the parameters are [-1.67379026 2.44143794] -2.9637408383566437 ;\n", + "Epoch 120/1000, Cost: 4.6527\n", + " and the parameters are [-1.6737767 2.44146704] -2.9638220553919354 ;\n", + "Epoch 120/1000, Cost: 4.3523\n", + " and the parameters are [-1.67378059 2.44157526] -2.9638356232149654 ;\n", + "Epoch 120/1000, Cost: 5.0305\n", + " and the parameters are [-1.67377161 2.44158777] -2.963949350531316 ;\n", + "Epoch 120/1000, Cost: 4.7447\n", + " and the parameters are [-1.67378575 2.44160479] -2.9640475296171127 ;\n", + "Epoch 120/1000, Cost: 6.0682\n", + " and the parameters are [-1.67370856 2.4417529 ] -2.9640798382779434 ;\n", + "Epoch 120/1000, Cost: 5.2636\n", + " and the parameters are [-1.67384988 2.44171688] -2.96413557857595 ;\n", + "Epoch 120/1000, Cost: 4.1671\n", + " and the parameters are [-1.67373144 2.44176043] -2.964233105152971 ;\n", + "Epoch 120/1000, Cost: 5.3197\n", + " and the parameters are [-1.67376958 2.44172887] -2.9643185644734644 ;\n", + "Epoch 120/1000, Cost: 3.3557\n", + " and the parameters are [-1.67382924 2.44172687] -2.9643811486296907 ;\n", + "Epoch 120/1000, Cost: 5.7340\n", + " and the parameters are [-1.67393383 2.44165645] -2.964481399259913 ;\n", + "Epoch 120/1000, Cost: 5.3196\n", + " and the parameters are [-1.67405097 2.44159387] -2.96457120438403 ;\n", + "Epoch 120/1000, Cost: 5.9366\n", + " and the parameters are [-1.67409012 2.44172455] -2.9645176755046907 ;\n", + "Epoch 120/1000, Cost: 6.4379\n", + " and the parameters are [-1.67409439 2.44163874] -2.964673144031 ;\n", + "Epoch 120/1000, Cost: 7.5926\n", + " and the parameters are [-1.67414631 2.44166339] -2.964720844908652 ;\n", + "Epoch 120/1000, Cost: 5.3228\n", + " and the parameters are [-1.67415149 2.44169344] -2.964791779578169 ;\n", + "Epoch 120/1000, Cost: 7.3562\n", + " and the parameters are [-1.67418691 2.44173041] -2.9648313378234383 ;\n", + "Epoch 120/1000, Cost: 7.7628\n", + " and the parameters are [-1.67426122 2.44170064] -2.964915610354627 ;\n", + "Epoch 120/1000, Cost: 5.1409\n", + " and the parameters are [-1.67436049 2.44167785] -2.9649703662584845 ;\n", + "Epoch 120/1000, Cost: 7.3921\n", + " and the parameters are [-1.67434414 2.44170171] -2.965004319705256 ;\n", + "Epoch 120/1000, Cost: 7.2131\n", + " and the parameters are [-1.67440417 2.44170899] -2.9650086287011663 ;\n", + "Epoch 120/1000, Cost: 4.1525\n", + " and the parameters are [-1.67452785 2.44173698] -2.9650331637326515 ;\n", + "Epoch 120/1000, Cost: 3.7664\n", + " and the parameters are [-1.67459212 2.4417605 ] -2.965089782892311 ;\n", + "Epoch 120/1000, Cost: 5.3853\n", + " and the parameters are [-1.67457321 2.4419342 ] -2.965057366354983 ;\n", + "Epoch 120/1000, Cost: 5.1556\n", + " and the parameters are [-1.67471357 2.44196537] -2.965031367870746 ;\n", + "Epoch 120/1000, Cost: 6.2333\n", + " and the parameters are [-1.67486107 2.44198859] -2.9650092021879146 ;\n", + "Epoch 120/1000, Cost: 5.2440\n", + " and the parameters are [-1.67498949 2.44182754] -2.965178376227114 ;\n", + "Epoch 120/1000, Cost: 4.6550\n", + " and the parameters are [-1.67500593 2.44183431] -2.9652544241419148 ;\n", + "Epoch 120/1000, Cost: 3.0877\n", + " and the parameters are [-1.67502987 2.44188419] -2.965288958707283 ;\n", + "Epoch 120/1000, Cost: 3.8008\n", + " and the parameters are [-1.67507329 2.44193265] -2.9653365858739926 ;\n", + "Epoch 120/1000, Cost: 6.5152\n", + " and the parameters are [-1.6751695 2.44192308] -2.96537166635517 ;\n", + "Epoch 120/1000, Cost: 7.5666\n", + " and the parameters are [-1.6751898 2.44182565] -2.965515946381753 ;\n", + "Epoch 120/1000, Cost: 5.9813\n", + " and the parameters are [-1.67529302 2.44183043] -2.965532909570603 ;\n", + "Epoch 120/1000, Cost: 7.1067\n", + " and the parameters are [-1.67534848 2.44180174] -2.9655924000048812 ;\n", + "Epoch 120/1000, Cost: 5.2540\n", + " and the parameters are [-1.67543764 2.4417786 ] -2.965673823882464 ;\n", + "Epoch 120/1000, Cost: 4.8785\n", + " and the parameters are [-1.67545339 2.44179211] -2.9657700944814636 ;\n", + "Epoch 120/1000, Cost: 6.2778\n", + " and the parameters are [-1.67546442 2.44192027] -2.9657720159759373 ;\n", + "Epoch 120/1000, Cost: 4.3484\n", + " and the parameters are [-1.67543223 2.44202561] -2.9658218435564545 ;\n", + "Epoch 120/1000, Cost: 7.4666\n", + " and the parameters are [-1.67551257 2.44199955] -2.965891583926695 ;\n", + "Epoch 120/1000, Cost: 5.2021\n", + " and the parameters are [-1.67550585 2.44212513] -2.9658864758963865 ;\n", + "Epoch 120/1000, Cost: 4.3990\n", + " and the parameters are [-1.67552456 2.44218736] -2.9659292421601386 ;\n", + "Epoch 120/1000, Cost: 5.4628\n", + " and the parameters are [-1.67556315 2.44217699] -2.96599621828688 ;\n", + "Epoch 120/1000, Cost: 4.3366\n", + " and the parameters are [-1.67559474 2.44229882] -2.9659883812132564 ;\n", + "Epoch 120/1000, Cost: 3.7395\n", + " and the parameters are [-1.67552994 2.44246901] -2.9659937235286833 ;\n", + "Epoch 120/1000, Cost: 8.7812\n", + " and the parameters are [-1.67558194 2.44227676] -2.96619604175383 ;\n", + "Epoch 120/1000, Cost: 6.2033\n", + " and the parameters are [-1.6757472 2.44222641] -2.966220270023998 ;\n", + "Epoch 120/1000, Cost: 3.3560\n", + " and the parameters are [-1.67576404 2.4423575 ] -2.9662017099189346 ;\n", + "Epoch 120/1000, Cost: 6.7592\n", + " and the parameters are [-1.67574614 2.44227821] -2.966356313962513 ;\n", + "Epoch 120/1000, Cost: 5.5064\n", + " and the parameters are [-1.67578098 2.4423283 ] -2.966381309468769 ;\n", + "Epoch 120/1000, Cost: 6.6341\n", + " and the parameters are [-1.6758677 2.44231523] -2.966458273132798 ;\n", + "Epoch 120/1000, Cost: 5.2672\n", + " and the parameters are [-1.67587721 2.44246058] -2.966447750360011 ;\n", + "Epoch 120/1000, Cost: 7.2080\n", + " and the parameters are [-1.67595094 2.4424433 ] -2.966495844350882 ;\n", + "Epoch 120/1000, Cost: 5.6660\n", + " and the parameters are [-1.67600988 2.4424888 ] -2.966527130533794 ;\n", + "Epoch 120/1000, Cost: 3.5315\n", + " and the parameters are [-1.67604666 2.44258223] -2.966523885519539 ;\n", + "Epoch 120/1000, Cost: 5.6442\n", + " and the parameters are [-1.67608262 2.4425711 ] -2.966615242708615 ;\n", + "Epoch 120/1000, Cost: 5.4890\n", + " and the parameters are [-1.67609241 2.44252086] -2.9667437656184807 ;\n", + "Epoch 120/1000, Cost: 3.2830\n", + " and the parameters are [-1.67616615 2.44253979] -2.9667649512991177 ;\n", + "Epoch 120/1000, Cost: 5.9876\n", + " and the parameters are [-1.67622418 2.44257747] -2.9667894031746176 ;\n", + "Epoch 120/1000, Cost: 6.4105\n", + " and the parameters are [-1.67622932 2.44259241] -2.966887469315383 ;\n", + "Epoch 120/1000, Cost: 3.8052\n", + " and the parameters are [-1.67634256 2.44262514] -2.966895556586057 ;\n", + "Epoch 120/1000, Cost: 6.7875\n", + " and the parameters are [-1.67624407 2.44279776] -2.966902658812459 ;\n", + "Epoch 120/1000, Cost: 3.1697\n", + " and the parameters are [-1.67631363 2.44286857] -2.9669026896081023 ;\n", + "Epoch 120/1000, Cost: 3.2570\n", + " and the parameters are [-1.67636249 2.44297792] -2.9668827697940214 ;\n", + "Epoch 120/1000, Cost: 4.2773\n", + " and the parameters are [-1.67638459 2.44302586] -2.966940434744677 ;\n", + "Epoch 120/1000, Cost: 4.6801\n", + " and the parameters are [-1.67651719 2.44305589] -2.966945804249013 ;\n", + "Epoch 120/1000, Cost: 8.3899\n", + " and the parameters are [-1.67654842 2.4430308 ] -2.9670140335923025 ;\n", + "Epoch 120/1000, Cost: 5.4589\n", + " and the parameters are [-1.6766891 2.4430324] -2.9670358981555003 ;\n", + "Epoch 120/1000, Cost: 5.6251\n", + " and the parameters are [-1.67664408 2.44312805] -2.9670891930154366 ;\n", + "Epoch 120/1000, Cost: 5.7574\n", + " and the parameters are [-1.67662171 2.4431449 ] -2.9672010044047963 ;\n", + "Epoch 120/1000, Cost: 4.2293\n", + " and the parameters are [-1.67668182 2.44320202] -2.967221927029097 ;\n", + "Epoch 120/1000, Cost: 5.5522\n", + " and the parameters are [-1.67674785 2.44330227] -2.96719210393673 ;\n", + "Epoch 120/1000, Cost: 9.7274\n", + " and the parameters are [-1.67671271 2.4433078 ] -2.967247522708979 ;\n", + "Epoch 120/1000, Cost: 3.6078\n", + " and the parameters are [-1.67672213 2.44338584] -2.967279468083983 ;\n", + "Epoch 120/1000, Cost: 4.1235\n", + " and the parameters are [-1.6767807 2.44338474] -2.967362642618931 ;\n", + "Epoch 120/1000, Cost: 4.8727\n", + " and the parameters are [-1.67678813 2.44349584] -2.967379602118292 ;\n", + "Epoch 120/1000, Cost: 3.9109\n", + " and the parameters are [-1.676855 2.44339893] -2.967506888585872 ;\n", + "Epoch 120/1000, Cost: 3.6855\n", + " and the parameters are [-1.67681849 2.443433 ] -2.9676073605837754 ;\n", + "Epoch 120/1000, Cost: 4.6866\n", + " and the parameters are [-1.67681756 2.44351952] -2.9676390378028383 ;\n", + "Epoch 120/1000, Cost: 3.2401\n", + " and the parameters are [-1.67686804 2.44360232] -2.967637220047796 ;\n", + "Epoch 120/1000, Cost: 7.1939\n", + " and the parameters are [-1.67679355 2.44360605] -2.9677604131926527 ;\n", + "Epoch 120/1000, Cost: 4.7881\n", + " and the parameters are [-1.67687113 2.4435653 ] -2.967856851470201 ;\n", + "Epoch 120/1000, Cost: 4.6001\n", + " and the parameters are [-1.67690315 2.44366594] -2.967853112245544 ;\n", + "Epoch 120/1000, Cost: 6.6329\n", + " and the parameters are [-1.67689668 2.44383464] -2.9678080002702134 ;\n", + "Epoch 120/1000, Cost: 4.8854\n", + " and the parameters are [-1.67680794 2.44387488] -2.967912748420735 ;\n", + "Epoch 120/1000, Cost: 6.7421\n", + " and the parameters are [-1.67679662 2.44397677] -2.967944094378487 ;\n", + "Epoch 120/1000, Cost: 7.0120\n", + " and the parameters are [-1.67677056 2.44408407] -2.9679758851445133 ;\n", + "Epoch 120/1000, Cost: 5.5457\n", + " and the parameters are [-1.67676466 2.4442092 ] -2.9679665687487664 ;\n", + "Epoch 120/1000, Cost: 6.9075\n", + " and the parameters are [-1.67674825 2.44438388] -2.967937454508617 ;\n", + "Epoch 120/1000, Cost: 6.2516\n", + " and the parameters are [-1.67670944 2.44442042] -2.9680271357905204 ;\n", + "Epoch 120/1000, Cost: 5.2737\n", + " and the parameters are [-1.6767191 2.44448912] -2.9680739108666554 ;\n", + "Epoch 120/1000, Cost: 5.7148\n", + " and the parameters are [-1.67674931 2.44442504] -2.968195672131006 ;\n", + "Epoch 120/1000, Cost: 5.9588\n", + " and the parameters are [-1.67676955 2.44441271] -2.9682659623162495 ;\n", + "Epoch 120/1000, Cost: 7.0677\n", + " and the parameters are [-1.67692869 2.44428879] -2.9683601472054053 ;\n", + "Epoch 120/1000, Cost: 4.6292\n", + " and the parameters are [-1.67703954 2.4441751 ] -2.968491878772183 ;\n", + "Epoch 120/1000, Cost: 7.6123\n", + " and the parameters are [-1.67722696 2.44418183] -2.9684617404833378 ;\n", + "Epoch 120/1000, Cost: 4.0920\n", + " and the parameters are [-1.6771734 2.44431915] -2.9684795017669763 ;\n", + "Epoch 120/1000, Cost: 4.4757\n", + " and the parameters are [-1.67721258 2.4444505 ] -2.9684567323528515 ;\n", + "Epoch 120/1000, Cost: 4.9042\n", + " and the parameters are [-1.67725476 2.44460793] -2.968404104319555 ;\n", + "Epoch 120/1000, Cost: 4.4696\n", + " and the parameters are [-1.67729671 2.44462484] -2.9684726937269104 ;\n", + "Epoch 120/1000, Cost: 4.3866\n", + " and the parameters are [-1.67728014 2.44477174] -2.968464884638361 ;\n", + "Epoch 120/1000, Cost: 7.4785\n", + " and the parameters are [-1.67726521 2.44476786] -2.968542377209253 ;\n", + "Epoch 120/1000, Cost: 4.3694\n", + " and the parameters are [-1.67721872 2.44480994] -2.9686397893227556 ;\n", + "Epoch 120/1000, Cost: 5.9017\n", + " and the parameters are [-1.67730419 2.44484189] -2.968665893292464 ;\n", + "Epoch 120/1000, Cost: 5.1793\n", + " and the parameters are [-1.67734248 2.44485163] -2.968734143052493 ;\n", + "Epoch 120/1000, Cost: 7.2409\n", + " and the parameters are [-1.67741553 2.44475977] -2.9688168447020367 ;\n", + "Epoch 120/1000, Cost: 3.5444\n", + " and the parameters are [-1.67745395 2.44478204] -2.9688758046482246 ;\n", + "Epoch 120/1000, Cost: 4.6816\n", + " and the parameters are [-1.67748836 2.44478007] -2.9689632411479914 ;\n", + "Epoch 120/1000, Cost: 4.8383\n", + " and the parameters are [-1.67752642 2.44483193] -2.968993573172936 ;\n", + "Epoch 120/1000, Cost: 2.9298\n", + " and the parameters are [-1.67756416 2.44492177] -2.9689936955002825 ;\n", + "Epoch 120/1000, Cost: 6.2976\n", + " and the parameters are [-1.67755143 2.44494805] -2.969078430926694 ;\n", + "Epoch 120/1000, Cost: 4.1481\n", + " and the parameters are [-1.67757614 2.44501767] -2.9690982480962496 ;\n", + "Epoch 120/1000, Cost: 6.1524\n", + " and the parameters are [-1.67762904 2.44505579] -2.9691271814862734 ;\n", + "Epoch 120/1000, Cost: 3.6206\n", + " and the parameters are [-1.67762413 2.44514349] -2.9691557432601794 ;\n", + "Epoch 120/1000, Cost: 6.2287\n", + " and the parameters are [-1.67771924 2.44513957] -2.9692131148431344 ;\n", + "Epoch 120/1000, Cost: 7.0051\n", + " and the parameters are [-1.67774305 2.445048 ] -2.9693298718638523 ;\n", + "Epoch 120/1000, Cost: 4.5043\n", + " and the parameters are [-1.67777625 2.44520452] -2.969301293761947 ;\n", + "Epoch 120/1000, Cost: 6.8421\n", + " and the parameters are [-1.67784223 2.4451728 ] -2.9694256840033124 ;\n", + "Epoch 120/1000, Cost: 5.3768\n", + " and the parameters are [-1.67791643 2.44520843] -2.969467722349868 ;\n", + "Epoch 120/1000, Cost: 6.2294\n", + " and the parameters are [-1.67788302 2.44522652] -2.9695776670035023 ;\n", + "Epoch 120/1000, Cost: 5.2269\n", + " and the parameters are [-1.67786477 2.44519863] -2.9697157961449183 ;\n", + "Epoch 120/1000, Cost: 3.3345\n", + " and the parameters are [-1.67786774 2.44525335] -2.9697776014366 ;\n", + "Epoch 120/1000, Cost: 5.3181\n", + " and the parameters are [-1.67796906 2.4452507 ] -2.9698311618121322 ;\n", + "Epoch 120/1000, Cost: 4.3406\n", + " and the parameters are [-1.67798914 2.44531596] -2.9698846674533113 ;\n", + "Epoch 120/1000, Cost: 4.0323\n", + " and the parameters are [-1.67800918 2.44543042] -2.9698934038266205 ;\n", + "Epoch 120/1000, Cost: 3.8582\n", + " and the parameters are [-1.67801754 2.44544303] -2.969966982313738 ;\n", + "Epoch 120/1000, Cost: 3.3112\n", + " and the parameters are [-1.67800192 2.44551728] -2.9700023301301193 ;\n", + "Epoch 120/1000, Cost: 3.7591\n", + " and the parameters are [-1.67808822 2.44555796] -2.9700233273798387 ;\n", + "Epoch 120/1000, Cost: 5.3408\n", + " and the parameters are [-1.67814 2.44562731] -2.9700545250927917 ;\n", + "Epoch 120/1000, Cost: 2.9690\n", + " and the parameters are [-1.67810866 2.4457396 ] -2.970069418140944 ;\n", + "Epoch 120/1000, Cost: 6.3195\n", + " and the parameters are [-1.67822181 2.44564174] -2.970188543082734 ;\n", + "Epoch 120/1000, Cost: 6.0963\n", + " and the parameters are [-1.67832005 2.44564476] -2.970221893685677 ;\n", + "Epoch 120/1000, Cost: 5.1364\n", + " and the parameters are [-1.6783718 2.44579617] -2.9701671314388336 ;\n", + "Epoch 120/1000, Cost: 7.3771\n", + " and the parameters are [-1.67852164 2.44564406] -2.9702854326216017 ;\n", + "Epoch 120/1000, Cost: 5.4749\n", + " and the parameters are [-1.67854677 2.44565752] -2.9703606928376627 ;\n", + "Epoch 120/1000, Cost: 7.6159\n", + " and the parameters are [-1.67851715 2.44570419] -2.970409694216803 ;\n", + "Epoch 120/1000, Cost: 3.4620\n", + " and the parameters are [-1.67854943 2.44581891] -2.970398852217115 ;\n", + "Epoch 120/1000, Cost: 5.8154\n", + " and the parameters are [-1.6786821 2.44577802] -2.970424696248175 ;\n", + "Epoch 120/1000, Cost: 4.6808\n", + " and the parameters are [-1.67870752 2.44577227] -2.9705078488065917 ;\n", + "Epoch 120/1000, Cost: 4.0736\n", + " and the parameters are [-1.67871932 2.44578343] -2.9705580549833366 ;\n", + "Epoch 120/1000, Cost: 8.6146\n", + " and the parameters are [-1.67873195 2.44582163] -2.9705979597481207 ;\n", + "Epoch 120/1000, Cost: 5.0065\n", + " and the parameters are [-1.67875656 2.44573512] -2.9707383831736207 ;\n", + "Epoch 120/1000, Cost: 5.8568\n", + " and the parameters are [-1.67873333 2.44575461] -2.970834573399165 ;\n", + "Epoch 120/1000, Cost: 4.5186\n", + " and the parameters are [-1.67873743 2.44591435] -2.970800859834417 ;\n", + "Epoch 120/1000, Cost: 6.7548\n", + " and the parameters are [-1.67869196 2.44583941] -2.970949118423108 ;\n", + "Epoch 130/1000, Cost: 4.1402\n", + " and the parameters are [-1.72875494 2.50506358] -3.059627385694067 ;\n", + "Epoch 130/1000, Cost: 9.6228\n", + " and the parameters are [-1.72887658 2.50481785] -3.05979991558141 ;\n", + "Epoch 130/1000, Cost: 8.4665\n", + " and the parameters are [-1.7289297 2.50466479] -3.059971815007847 ;\n", + "Epoch 130/1000, Cost: 4.3957\n", + " and the parameters are [-1.72890439 2.50472051] -3.0600396552220954 ;\n", + "Epoch 130/1000, Cost: 3.2237\n", + " and the parameters are [-1.7289737 2.50481265] -3.060026103008601 ;\n", + "Epoch 130/1000, Cost: 2.6005\n", + " and the parameters are [-1.72902505 2.5048425 ] -3.06005617152342 ;\n", + "Epoch 130/1000, Cost: 3.9687\n", + " and the parameters are [-1.72909624 2.50485784] -3.0601094974360294 ;\n", + "Epoch 130/1000, Cost: 5.0103\n", + " and the parameters are [-1.72925813 2.50477538] -3.060178279118438 ;\n", + "Epoch 130/1000, Cost: 4.1755\n", + " and the parameters are [-1.72926614 2.50486659] -3.060214257758113 ;\n", + "Epoch 130/1000, Cost: 3.6975\n", + " and the parameters are [-1.72930104 2.50491625] -3.060249239563452 ;\n", + "Epoch 130/1000, Cost: 5.3466\n", + " and the parameters are [-1.72927345 2.50493583] -3.060365296095483 ;\n", + "Epoch 130/1000, Cost: 6.4364\n", + " and the parameters are [-1.72939672 2.50479616] -3.0604827365849636 ;\n", + "Epoch 130/1000, Cost: 7.4828\n", + " and the parameters are [-1.72953053 2.50468868] -3.060607992113326 ;\n", + "Epoch 130/1000, Cost: 4.5826\n", + " and the parameters are [-1.72957765 2.50461342] -3.0607311932939663 ;\n", + "Epoch 130/1000, Cost: 4.9544\n", + " and the parameters are [-1.7295808 2.5047229] -3.0607356468887663 ;\n", + "Epoch 130/1000, Cost: 3.2266\n", + " and the parameters are [-1.72956923 2.50484846] -3.0607243110229967 ;\n", + "Epoch 130/1000, Cost: 4.4177\n", + " and the parameters are [-1.7295876 2.50485496] -3.060797038794026 ;\n", + "Epoch 130/1000, Cost: 5.3474\n", + " and the parameters are [-1.7295757 2.5049026] -3.060842989604663 ;\n", + "Epoch 130/1000, Cost: 7.2128\n", + " and the parameters are [-1.7297248 2.50482916] -3.060902938424818 ;\n", + "Epoch 130/1000, Cost: 5.3550\n", + " and the parameters are [-1.7297237 2.5047955] -3.061036811086574 ;\n", + "Epoch 130/1000, Cost: 6.3143\n", + " and the parameters are [-1.7297487 2.50480547] -3.0610790068226996 ;\n", + "Epoch 130/1000, Cost: 3.5599\n", + " and the parameters are [-1.72972345 2.50488501] -3.0611169801155618 ;\n", + "Epoch 130/1000, Cost: 5.2473\n", + " and the parameters are [-1.72974443 2.50485876] -3.0612301244129108 ;\n", + "Epoch 130/1000, Cost: 4.2219\n", + " and the parameters are [-1.72970407 2.50499541] -3.061239739638465 ;\n", + "Epoch 130/1000, Cost: 5.5662\n", + " and the parameters are [-1.72975085 2.50494476] -3.061350979618771 ;\n", + "Epoch 130/1000, Cost: 5.3413\n", + " and the parameters are [-1.72971704 2.50506846] -3.0613517349891035 ;\n", + "Epoch 130/1000, Cost: 6.1943\n", + " and the parameters are [-1.72975788 2.50506476] -3.061401838436575 ;\n", + "Epoch 130/1000, Cost: 5.2763\n", + " and the parameters are [-1.72974739 2.50514926] -3.0614273345320733 ;\n", + "Epoch 130/1000, Cost: 4.2449\n", + " and the parameters are [-1.72982585 2.50519601] -3.0614422885969375 ;\n", + "Epoch 130/1000, Cost: 3.7159\n", + " and the parameters are [-1.72987992 2.50524058] -3.061480652175915 ;\n", + "Epoch 130/1000, Cost: 5.6191\n", + " and the parameters are [-1.72990192 2.50528695] -3.0614811250121443 ;\n", + "Epoch 130/1000, Cost: 2.5494\n", + " and the parameters are [-1.72990831 2.50534357] -3.061527525418641 ;\n", + "Epoch 130/1000, Cost: 4.7396\n", + " and the parameters are [-1.72990684 2.50549054] -3.0615233649618387 ;\n", + "Epoch 130/1000, Cost: 6.2399\n", + " and the parameters are [-1.72986246 2.50540544] -3.0616956186253548 ;\n", + "Epoch 130/1000, Cost: 4.1253\n", + " and the parameters are [-1.72987155 2.50540213] -3.0617762216537865 ;\n", + "Epoch 130/1000, Cost: 5.4367\n", + " and the parameters are [-1.72991917 2.50541558] -3.061815379419722 ;\n", + "Epoch 130/1000, Cost: 4.2120\n", + " and the parameters are [-1.7299297 2.50547244] -3.0618463549211534 ;\n", + "Epoch 130/1000, Cost: 5.8611\n", + " and the parameters are [-1.72988128 2.50553271] -3.0619277135673837 ;\n", + "Epoch 130/1000, Cost: 3.8667\n", + " and the parameters are [-1.72991583 2.50554397] -3.0619956148579903 ;\n", + "Epoch 130/1000, Cost: 6.1242\n", + " and the parameters are [-1.72990124 2.50565073] -3.061997275343846 ;\n", + "Epoch 130/1000, Cost: 5.5866\n", + " and the parameters are [-1.72984201 2.50571184] -3.0620707616089438 ;\n", + "Epoch 130/1000, Cost: 3.8774\n", + " and the parameters are [-1.72991116 2.50567575] -3.0621452939079528 ;\n", + "Epoch 130/1000, Cost: 5.2207\n", + " and the parameters are [-1.7298551 2.50565164] -3.0622827618953767 ;\n", + "Epoch 130/1000, Cost: 6.2664\n", + " and the parameters are [-1.72980261 2.50566447] -3.062370213594311 ;\n", + "Epoch 130/1000, Cost: 3.8356\n", + " and the parameters are [-1.72988412 2.5057365 ] -3.0623622854268 ;\n", + "Epoch 130/1000, Cost: 4.1975\n", + " and the parameters are [-1.72991673 2.50581001] -3.0623771708014647 ;\n", + "Epoch 130/1000, Cost: 5.0985\n", + " and the parameters are [-1.72994626 2.50586529] -3.062404938597143 ;\n", + "Epoch 130/1000, Cost: 8.2330\n", + " and the parameters are [-1.72998446 2.50576968] -3.0625054070709674 ;\n", + "Epoch 130/1000, Cost: 7.2106\n", + " and the parameters are [-1.72998046 2.5057093 ] -3.062635886973008 ;\n", + "Epoch 130/1000, Cost: 5.2874\n", + " and the parameters are [-1.7299826 2.50568901] -3.062736188497552 ;\n", + "Epoch 130/1000, Cost: 5.8367\n", + " and the parameters are [-1.72997266 2.50570687] -3.062779104523648 ;\n", + "Epoch 130/1000, Cost: 4.8401\n", + " and the parameters are [-1.7299414 2.50577671] -3.0628419979091914 ;\n", + "Epoch 130/1000, Cost: 6.7257\n", + " and the parameters are [-1.73004832 2.50558154] -3.0630023708640257 ;\n", + "Epoch 130/1000, Cost: 3.1709\n", + " and the parameters are [-1.73002449 2.50567717] -3.063035917554262 ;\n", + "Epoch 130/1000, Cost: 7.4087\n", + " and the parameters are [-1.7299378 2.50558525] -3.063220765020733 ;\n", + "Epoch 130/1000, Cost: 7.8413\n", + " and the parameters are [-1.73011643 2.50544462] -3.0632983438805983 ;\n", + "Epoch 130/1000, Cost: 3.5631\n", + " and the parameters are [-1.73017165 2.50550601] -3.063302856566605 ;\n", + "Epoch 130/1000, Cost: 6.5382\n", + " and the parameters are [-1.73017823 2.5055293 ] -3.063342318453537 ;\n", + "Epoch 130/1000, Cost: 3.9865\n", + " and the parameters are [-1.73020831 2.50557567] -3.0633893978821223 ;\n", + "Epoch 130/1000, Cost: 6.4650\n", + " and the parameters are [-1.73034703 2.50559849] -3.0633847050204337 ;\n", + "Epoch 130/1000, Cost: 4.1950\n", + " and the parameters are [-1.73039863 2.50569102] -3.06338049482144 ;\n", + "Epoch 130/1000, Cost: 3.5759\n", + " and the parameters are [-1.7304456 2.50570366] -3.063430274672386 ;\n", + "Epoch 130/1000, Cost: 5.5851\n", + " and the parameters are [-1.7304519 2.50573684] -3.0635054212195527 ;\n", + "Epoch 130/1000, Cost: 4.8860\n", + " and the parameters are [-1.73054387 2.50566972] -3.0635925519011944 ;\n", + "Epoch 130/1000, Cost: 4.4016\n", + " and the parameters are [-1.73056832 2.50570228] -3.063633452802858 ;\n", + "Epoch 130/1000, Cost: 4.9655\n", + " and the parameters are [-1.73052129 2.50592379] -3.063579140082533 ;\n", + "Epoch 130/1000, Cost: 4.0216\n", + " and the parameters are [-1.73049951 2.50610054] -3.0635418837836554 ;\n", + "Epoch 130/1000, Cost: 3.4422\n", + " and the parameters are [-1.73050196 2.5061236 ] -3.0636221219268274 ;\n", + "Epoch 130/1000, Cost: 5.5312\n", + " and the parameters are [-1.73055415 2.50602623] -3.0637541521374896 ;\n", + "Epoch 130/1000, Cost: 5.5668\n", + " and the parameters are [-1.73056001 2.50602217] -3.0638409510429105 ;\n", + "Epoch 130/1000, Cost: 6.0000\n", + " and the parameters are [-1.73062345 2.50602016] -3.0638790234671696 ;\n", + "Epoch 130/1000, Cost: 4.1022\n", + " and the parameters are [-1.73064389 2.50615798] -3.0638552689338328 ;\n", + "Epoch 130/1000, Cost: 5.7742\n", + " and the parameters are [-1.7306039 2.50639373] -3.063787185162326 ;\n", + "Epoch 130/1000, Cost: 5.3991\n", + " and the parameters are [-1.73071879 2.50645132] -3.0637881594810814 ;\n", + "Epoch 130/1000, Cost: 2.8510\n", + " and the parameters are [-1.73069907 2.50656382] -3.0637969588560257 ;\n", + "Epoch 130/1000, Cost: 4.2189\n", + " and the parameters are [-1.73066138 2.50664238] -3.063858793163712 ;\n", + "Epoch 130/1000, Cost: 7.6738\n", + " and the parameters are [-1.73069554 2.50652605] -3.064023959420399 ;\n", + "Epoch 130/1000, Cost: 4.9843\n", + " and the parameters are [-1.73067665 2.50653596] -3.0641319297868503 ;\n", + "Epoch 130/1000, Cost: 3.1765\n", + " and the parameters are [-1.73069599 2.50649978] -3.064238748192239 ;\n", + "Epoch 130/1000, Cost: 4.7836\n", + " and the parameters are [-1.73077041 2.50659025] -3.064196517256139 ;\n", + "Epoch 130/1000, Cost: 5.6611\n", + " and the parameters are [-1.73091606 2.50662448] -3.064183480510668 ;\n", + "Epoch 130/1000, Cost: 4.4444\n", + " and the parameters are [-1.73091158 2.50669762] -3.064233691966159 ;\n", + "Epoch 130/1000, Cost: 3.4658\n", + " and the parameters are [-1.73098894 2.50670321] -3.064294175658308 ;\n", + "Epoch 130/1000, Cost: 3.2880\n", + " and the parameters are [-1.73107539 2.50678928] -3.0642763466424854 ;\n", + "Epoch 130/1000, Cost: 3.4245\n", + " and the parameters are [-1.73108324 2.50691697] -3.0642717005941917 ;\n", + "Epoch 130/1000, Cost: 3.9898\n", + " and the parameters are [-1.73105799 2.50693237] -3.064372001663403 ;\n", + "Epoch 130/1000, Cost: 4.2154\n", + " and the parameters are [-1.73106961 2.50704375] -3.064372832371827 ;\n", + "Epoch 130/1000, Cost: 5.4036\n", + " and the parameters are [-1.73115873 2.50696732] -3.064484974758267 ;\n", + "Epoch 130/1000, Cost: 6.2703\n", + " and the parameters are [-1.7312344 2.50693682] -3.0645646838779563 ;\n", + "Epoch 130/1000, Cost: 3.8403\n", + " and the parameters are [-1.73125086 2.50701691] -3.06457706069187 ;\n", + "Epoch 130/1000, Cost: 5.1117\n", + " and the parameters are [-1.73129762 2.50711745] -3.0645716295613696 ;\n", + "Epoch 130/1000, Cost: 4.1048\n", + " and the parameters are [-1.7313989 2.50721556] -3.0645022041617596 ;\n", + "Epoch 130/1000, Cost: 4.0410\n", + " and the parameters are [-1.73144149 2.50721064] -3.06458022315205 ;\n", + "Epoch 130/1000, Cost: 4.1098\n", + " and the parameters are [-1.7315092 2.50726012] -3.0645908966934323 ;\n", + "Epoch 130/1000, Cost: 4.9496\n", + " and the parameters are [-1.73147198 2.50726881] -3.0646938406634 ;\n", + "Epoch 130/1000, Cost: 5.3291\n", + " and the parameters are [-1.73141927 2.50738857] -3.064724911182147 ;\n", + "Epoch 130/1000, Cost: 5.0944\n", + " and the parameters are [-1.73145835 2.50758553] -3.06464176364844 ;\n", + "Epoch 130/1000, Cost: 3.7678\n", + " and the parameters are [-1.73141134 2.50781274] -3.0645818670075475 ;\n", + "Epoch 130/1000, Cost: 4.2379\n", + " and the parameters are [-1.73137651 2.50790415] -3.0646084379591083 ;\n", + "Epoch 130/1000, Cost: 5.5295\n", + " and the parameters are [-1.7314249 2.50787395] -3.0647065985005577 ;\n", + "Epoch 130/1000, Cost: 3.0937\n", + " and the parameters are [-1.73142737 2.50797521] -3.064717442278929 ;\n", + "Epoch 130/1000, Cost: 4.8776\n", + " and the parameters are [-1.7313671 2.50803941] -3.064792622862096 ;\n", + "Epoch 130/1000, Cost: 6.2629\n", + " and the parameters are [-1.73139953 2.50804421] -3.064851922764802 ;\n", + "Epoch 130/1000, Cost: 6.4009\n", + " and the parameters are [-1.73146628 2.50794541] -3.064995988695936 ;\n", + "Epoch 130/1000, Cost: 7.8112\n", + " and the parameters are [-1.73154543 2.50783429] -3.065107029353046 ;\n", + "Epoch 130/1000, Cost: 2.6195\n", + " and the parameters are [-1.73155984 2.50791696] -3.0651240144347565 ;\n", + "Epoch 130/1000, Cost: 6.4317\n", + " and the parameters are [-1.73164139 2.50794384] -3.0651398864668944 ;\n", + "Epoch 130/1000, Cost: 3.6280\n", + " and the parameters are [-1.7317146 2.50799631] -3.0651388271867654 ;\n", + "Epoch 130/1000, Cost: 4.4474\n", + " and the parameters are [-1.73177223 2.50799103] -3.065209220203694 ;\n", + "Epoch 130/1000, Cost: 5.7064\n", + " and the parameters are [-1.73174134 2.50808664] -3.065262973906476 ;\n", + "Epoch 130/1000, Cost: 5.7626\n", + " and the parameters are [-1.73173228 2.50810609] -3.0653455727279035 ;\n", + "Epoch 130/1000, Cost: 5.5494\n", + " and the parameters are [-1.73170678 2.50835575] -3.0652325314332765 ;\n", + "Epoch 130/1000, Cost: 3.4727\n", + " and the parameters are [-1.73177203 2.50854506] -3.065154205521249 ;\n", + "Epoch 130/1000, Cost: 7.0624\n", + " and the parameters are [-1.73172416 2.50864183] -3.065206333568088 ;\n", + "Epoch 130/1000, Cost: 4.7740\n", + " and the parameters are [-1.73174022 2.50866981] -3.065260846303094 ;\n", + "Epoch 130/1000, Cost: 3.5097\n", + " and the parameters are [-1.73177487 2.50868927] -3.065322431406524 ;\n", + "Epoch 130/1000, Cost: 3.2624\n", + " and the parameters are [-1.73178897 2.50875587] -3.0653519526947415 ;\n", + "Epoch 130/1000, Cost: 5.7601\n", + " and the parameters are [-1.73176114 2.50889049] -3.0653390201890516 ;\n", + "Epoch 130/1000, Cost: 4.4701\n", + " and the parameters are [-1.7317209 2.50900565] -3.0653678356633303 ;\n", + "Epoch 130/1000, Cost: 4.3135\n", + " and the parameters are [-1.73175763 2.5090781 ] -3.0653954115846256 ;\n", + "Epoch 130/1000, Cost: 5.3007\n", + " and the parameters are [-1.73175278 2.50909109] -3.06549773180064 ;\n", + "Epoch 130/1000, Cost: 4.9948\n", + " and the parameters are [-1.73182854 2.50916998] -3.065506664755471 ;\n", + "Epoch 130/1000, Cost: 4.1808\n", + " and the parameters are [-1.73180296 2.50939049] -3.0654352003924012 ;\n", + "Epoch 130/1000, Cost: 4.7827\n", + " and the parameters are [-1.73184078 2.50938779] -3.065498367911924 ;\n", + "Epoch 130/1000, Cost: 5.4027\n", + " and the parameters are [-1.73179731 2.50945933] -3.0655358369956507 ;\n", + "Epoch 130/1000, Cost: 3.6742\n", + " and the parameters are [-1.73177705 2.50953006] -3.065581911973248 ;\n", + "Epoch 130/1000, Cost: 4.5514\n", + " and the parameters are [-1.73170823 2.50970593] -3.0655614300620146 ;\n", + "Epoch 130/1000, Cost: 2.9965\n", + " and the parameters are [-1.73175108 2.5097458 ] -3.065598112654299 ;\n", + "Epoch 130/1000, Cost: 4.1095\n", + " and the parameters are [-1.7317802 2.50983444] -3.0656180916024445 ;\n", + "Epoch 130/1000, Cost: 3.5929\n", + " and the parameters are [-1.73178828 2.51000841] -3.065551229097398 ;\n", + "Epoch 130/1000, Cost: 3.2490\n", + " and the parameters are [-1.73180862 2.51007324] -3.065590357262576 ;\n", + "Epoch 130/1000, Cost: 7.0426\n", + " and the parameters are [-1.73191681 2.50989089] -3.0657293665197964 ;\n", + "Epoch 130/1000, Cost: 7.7800\n", + " and the parameters are [-1.73191443 2.51001661] -3.065704683937029 ;\n", + "Epoch 130/1000, Cost: 5.6891\n", + " and the parameters are [-1.73195435 2.51004048] -3.06575783569177 ;\n", + "Epoch 130/1000, Cost: 7.0951\n", + " and the parameters are [-1.7320654 2.51002332] -3.0657851401559166 ;\n", + "Epoch 130/1000, Cost: 5.2613\n", + " and the parameters are [-1.73215584 2.51010881] -3.0657540444631803 ;\n", + "Epoch 130/1000, Cost: 5.6161\n", + " and the parameters are [-1.73218408 2.51021543] -3.065747510770832 ;\n", + "Epoch 130/1000, Cost: 5.1456\n", + " and the parameters are [-1.73221519 2.51017336] -3.065882525037408 ;\n", + "Epoch 130/1000, Cost: 7.6665\n", + " and the parameters are [-1.73221193 2.51025627] -3.065879641983157 ;\n", + "Epoch 130/1000, Cost: 3.5831\n", + " and the parameters are [-1.73228211 2.51021854] -3.065951872549395 ;\n", + "Epoch 130/1000, Cost: 3.1929\n", + " and the parameters are [-1.73223693 2.51033655] -3.0659618663631916 ;\n", + "Epoch 130/1000, Cost: 4.0909\n", + " and the parameters are [-1.7323355 2.51042732] -3.065928806668835 ;\n", + "Epoch 130/1000, Cost: 5.3943\n", + " and the parameters are [-1.7323156 2.5105418] -3.0659484731590667 ;\n", + "Epoch 130/1000, Cost: 4.6596\n", + " and the parameters are [-1.73228973 2.51057271] -3.0660133654473882 ;\n", + "Epoch 130/1000, Cost: 3.1443\n", + " and the parameters are [-1.73230844 2.51063014] -3.066050981802586 ;\n", + "Epoch 130/1000, Cost: 3.0747\n", + " and the parameters are [-1.73228692 2.51072533] -3.0660720073286956 ;\n", + "Epoch 130/1000, Cost: 7.7622\n", + " and the parameters are [-1.73233238 2.51062986] -3.066175202580816 ;\n", + "Epoch 130/1000, Cost: 3.4112\n", + " and the parameters are [-1.73240492 2.51071468] -3.0661596520588192 ;\n", + "Epoch 130/1000, Cost: 4.3216\n", + " and the parameters are [-1.73237435 2.51082315] -3.06618529975 ;\n", + "Epoch 130/1000, Cost: 4.8811\n", + " and the parameters are [-1.73238296 2.51077699] -3.066286714488255 ;\n", + "Epoch 130/1000, Cost: 4.2821\n", + " and the parameters are [-1.73242888 2.510787 ] -3.066363072177527 ;\n", + "Epoch 130/1000, Cost: 4.5649\n", + " and the parameters are [-1.7325073 2.51084801] -3.0663666087671615 ;\n", + "Epoch 130/1000, Cost: 5.8710\n", + " and the parameters are [-1.73251 2.5108743] -3.0663970579971322 ;\n", + "Epoch 130/1000, Cost: 5.6425\n", + " and the parameters are [-1.73263402 2.51090054] -3.0663992453243054 ;\n", + "Epoch 130/1000, Cost: 3.4573\n", + " and the parameters are [-1.73265577 2.51091037] -3.066479471344659 ;\n", + "Epoch 130/1000, Cost: 5.3857\n", + " and the parameters are [-1.73274574 2.51095924] -3.0664578765314627 ;\n", + "Epoch 130/1000, Cost: 4.9202\n", + " and the parameters are [-1.73273013 2.5109278 ] -3.0665650065328585 ;\n", + "Epoch 130/1000, Cost: 4.2985\n", + " and the parameters are [-1.73267715 2.51103378] -3.066594583606095 ;\n", + "Epoch 130/1000, Cost: 6.7545\n", + " and the parameters are [-1.73265599 2.51099761] -3.0666880174358204 ;\n", + "Epoch 130/1000, Cost: 9.4195\n", + " and the parameters are [-1.73273634 2.51074378] -3.066899026855917 ;\n", + "Epoch 130/1000, Cost: 7.1609\n", + " and the parameters are [-1.73283154 2.51066619] -3.067017501228453 ;\n", + "Epoch 130/1000, Cost: 6.2176\n", + " and the parameters are [-1.73278588 2.51070472] -3.0671103676197022 ;\n", + "Epoch 130/1000, Cost: 4.2553\n", + " and the parameters are [-1.73278861 2.5107331 ] -3.0671757667395 ;\n", + "Epoch 130/1000, Cost: 4.2878\n", + " and the parameters are [-1.73278324 2.51085422] -3.0671676383572364 ;\n", + "Epoch 130/1000, Cost: 7.3872\n", + " and the parameters are [-1.73270686 2.51091283] -3.0671846163230367 ;\n", + "Epoch 130/1000, Cost: 3.6678\n", + " and the parameters are [-1.73272958 2.51095789] -3.0672454801793423 ;\n", + "Epoch 130/1000, Cost: 4.3605\n", + " and the parameters are [-1.7327569 2.51091161] -3.0673445565252546 ;\n", + "Epoch 130/1000, Cost: 3.3746\n", + " and the parameters are [-1.73278906 2.51100619] -3.067339228684457 ;\n", + "Epoch 130/1000, Cost: 5.8200\n", + " and the parameters are [-1.7328091 2.51096655] -3.067454209992488 ;\n", + "Epoch 130/1000, Cost: 5.7725\n", + " and the parameters are [-1.73281966 2.51107176] -3.067452792717603 ;\n", + "Epoch 130/1000, Cost: 4.8726\n", + " and the parameters are [-1.73287752 2.51114235] -3.0674670699809385 ;\n", + "Epoch 130/1000, Cost: 5.4020\n", + " and the parameters are [-1.73293625 2.51129613] -3.0674076102829027 ;\n", + "Epoch 130/1000, Cost: 4.5568\n", + " and the parameters are [-1.7329716 2.51138677] -3.0674048886508727 ;\n", + "Epoch 130/1000, Cost: 6.2058\n", + " and the parameters are [-1.73306951 2.51126401] -3.06750862959717 ;\n", + "Epoch 130/1000, Cost: 3.6532\n", + " and the parameters are [-1.73308126 2.51143285] -3.0674640909658137 ;\n", + "Epoch 130/1000, Cost: 8.1231\n", + " and the parameters are [-1.73309721 2.51133242] -3.0676091401273906 ;\n", + "Epoch 130/1000, Cost: 5.4340\n", + " and the parameters are [-1.73315318 2.51139377] -3.0676159300448 ;\n", + "Epoch 130/1000, Cost: 5.5599\n", + " and the parameters are [-1.73313083 2.51155281] -3.067609256544717 ;\n", + "Epoch 130/1000, Cost: 5.9755\n", + " and the parameters are [-1.73313063 2.5115824 ] -3.067677406229243 ;\n", + "Epoch 130/1000, Cost: 6.2550\n", + " and the parameters are [-1.73320429 2.51148582] -3.0677925638484744 ;\n", + "Epoch 130/1000, Cost: 5.4603\n", + " and the parameters are [-1.73334801 2.5113796 ] -3.0678668439623884 ;\n", + "Epoch 130/1000, Cost: 5.6707\n", + " and the parameters are [-1.7334472 2.51132308] -3.067920809474084 ;\n", + "Epoch 130/1000, Cost: 6.7732\n", + " and the parameters are [-1.73345809 2.51123177] -3.0680652985598815 ;\n", + "Epoch 130/1000, Cost: 4.3739\n", + " and the parameters are [-1.73355572 2.51123084] -3.0681140588530216 ;\n", + "Epoch 130/1000, Cost: 7.3374\n", + " and the parameters are [-1.73364574 2.51114407] -3.0681811929547225 ;\n", + "Epoch 130/1000, Cost: 6.3484\n", + " and the parameters are [-1.73367615 2.51119773] -3.0682197645209532 ;\n", + "Epoch 130/1000, Cost: 6.7170\n", + " and the parameters are [-1.73357115 2.51122037] -3.0683424663759418 ;\n", + "Epoch 130/1000, Cost: 4.3507\n", + " and the parameters are [-1.7336082 2.5112766] -3.0683704073116296 ;\n", + "Epoch 130/1000, Cost: 5.0559\n", + " and the parameters are [-1.73368193 2.51123798] -3.068445377964078 ;\n", + "Epoch 130/1000, Cost: 5.4021\n", + " and the parameters are [-1.73372008 2.51122572] -3.0685213588115388 ;\n", + "Epoch 130/1000, Cost: 7.1461\n", + " and the parameters are [-1.73381338 2.51105237] -3.068688312581085 ;\n", + "Epoch 130/1000, Cost: 5.8866\n", + " and the parameters are [-1.73393436 2.51102769] -3.0686977604961294 ;\n", + "Epoch 130/1000, Cost: 6.0947\n", + " and the parameters are [-1.73393311 2.51103686] -3.068773090757221 ;\n", + "Epoch 130/1000, Cost: 5.5597\n", + " and the parameters are [-1.73388016 2.51107492] -3.0688654487635865 ;\n", + "Epoch 130/1000, Cost: 5.4092\n", + " and the parameters are [-1.73382658 2.51106329] -3.068990762758277 ;\n", + "Epoch 130/1000, Cost: 3.8114\n", + " and the parameters are [-1.73383082 2.51116567] -3.069010806386526 ;\n", + "Epoch 130/1000, Cost: 3.7789\n", + " and the parameters are [-1.73385521 2.51125088] -3.069036243025796 ;\n", + "Epoch 130/1000, Cost: 4.9743\n", + " and the parameters are [-1.73398898 2.5112323 ] -3.0690652053226057 ;\n", + "Epoch 130/1000, Cost: 4.3474\n", + " and the parameters are [-1.7340564 2.51133314] -3.069036981371588 ;\n", + "Epoch 130/1000, Cost: 4.7831\n", + " and the parameters are [-1.73406282 2.51138523] -3.069111590984683 ;\n", + "Epoch 140/1000, Cost: 4.0541\n", + " and the parameters are [-1.78075542 2.56699122] -3.152008910765628 ;\n", + "Epoch 140/1000, Cost: 5.3565\n", + " and the parameters are [-1.78073235 2.56702904] -3.1520812730144683 ;\n", + "Epoch 140/1000, Cost: 4.6513\n", + " and the parameters are [-1.78071835 2.56705625] -3.152139299923577 ;\n", + "Epoch 140/1000, Cost: 4.3869\n", + " and the parameters are [-1.78069933 2.56723389] -3.152099877986017 ;\n", + "Epoch 140/1000, Cost: 5.4246\n", + " and the parameters are [-1.78082535 2.56712563] -3.152211096637864 ;\n", + "Epoch 140/1000, Cost: 4.2516\n", + " and the parameters are [-1.78079693 2.56739741] -3.152090791690159 ;\n", + "Epoch 140/1000, Cost: 5.5175\n", + " and the parameters are [-1.7808187 2.56736053] -3.1521895739833146 ;\n", + "Epoch 140/1000, Cost: 4.2577\n", + " and the parameters are [-1.78084331 2.5673924 ] -3.15224372948743 ;\n", + "Epoch 140/1000, Cost: 3.7136\n", + " and the parameters are [-1.78092068 2.56750814] -3.152187585282957 ;\n", + "Epoch 140/1000, Cost: 5.6352\n", + " and the parameters are [-1.78088243 2.56755801] -3.1522672160609555 ;\n", + "Epoch 140/1000, Cost: 3.8663\n", + " and the parameters are [-1.78081343 2.56761752] -3.152329940782397 ;\n", + "Epoch 140/1000, Cost: 3.0163\n", + " and the parameters are [-1.78083417 2.56769762] -3.15232502966796 ;\n", + "Epoch 140/1000, Cost: 2.5929\n", + " and the parameters are [-1.7808441 2.56773451] -3.152376294455002 ;\n", + "Epoch 140/1000, Cost: 1.6042\n", + " and the parameters are [-1.78085055 2.56781017] -3.1523787491530366 ;\n", + "Epoch 140/1000, Cost: 4.9713\n", + " and the parameters are [-1.78086076 2.56791088] -3.152396999485608 ;\n", + "Epoch 140/1000, Cost: 6.1785\n", + " and the parameters are [-1.78084993 2.56785708] -3.1525150449256456 ;\n", + "Epoch 140/1000, Cost: 3.6414\n", + " and the parameters are [-1.78084906 2.56791269] -3.1525714833710206 ;\n", + "Epoch 140/1000, Cost: 6.5245\n", + " and the parameters are [-1.78093437 2.56799928] -3.152529162133322 ;\n", + "Epoch 140/1000, Cost: 9.7597\n", + " and the parameters are [-1.78091165 2.56801736] -3.1526051499520045 ;\n", + "Epoch 140/1000, Cost: 5.1183\n", + " and the parameters are [-1.78092872 2.56805345] -3.1526698650199374 ;\n", + "Epoch 140/1000, Cost: 8.7856\n", + " and the parameters are [-1.78119056 2.56774645] -3.1528430204370332 ;\n", + "Epoch 140/1000, Cost: 3.7252\n", + " and the parameters are [-1.78120489 2.56785153] -3.152846623564521 ;\n", + "Epoch 140/1000, Cost: 6.8617\n", + " and the parameters are [-1.78137237 2.5677331 ] -3.1529138587882635 ;\n", + "Epoch 140/1000, Cost: 4.3230\n", + " and the parameters are [-1.78140816 2.56776091] -3.1529703228755155 ;\n", + "Epoch 140/1000, Cost: 4.4101\n", + " and the parameters are [-1.78145246 2.56775515] -3.1530360184441486 ;\n", + "Epoch 140/1000, Cost: 3.7144\n", + " and the parameters are [-1.78140778 2.56776643] -3.1531353459503446 ;\n", + "Epoch 140/1000, Cost: 3.1332\n", + " and the parameters are [-1.78139742 2.56788975] -3.153131212325827 ;\n", + "Epoch 140/1000, Cost: 4.4817\n", + " and the parameters are [-1.78143158 2.56795419] -3.153140403199412 ;\n", + "Epoch 140/1000, Cost: 3.7648\n", + " and the parameters are [-1.78147436 2.56800332] -3.1531741811135285 ;\n", + "Epoch 140/1000, Cost: 3.9552\n", + " and the parameters are [-1.78146144 2.56807701] -3.1532177060051496 ;\n", + "Epoch 140/1000, Cost: 4.6236\n", + " and the parameters are [-1.78151274 2.56805346] -3.1532984765931324 ;\n", + "Epoch 140/1000, Cost: 5.3017\n", + " and the parameters are [-1.78147629 2.568128 ] -3.1533561306504767 ;\n", + "Epoch 140/1000, Cost: 4.5910\n", + " and the parameters are [-1.78150718 2.56820021] -3.153357468375411 ;\n", + "Epoch 140/1000, Cost: 3.6323\n", + " and the parameters are [-1.78148317 2.56827327] -3.1534029575215285 ;\n", + "Epoch 140/1000, Cost: 3.3797\n", + " and the parameters are [-1.78145892 2.56836878] -3.153430086249527 ;\n", + "Epoch 140/1000, Cost: 4.6680\n", + " and the parameters are [-1.78147543 2.56837631] -3.1535064936773276 ;\n", + "Epoch 140/1000, Cost: 5.2177\n", + " and the parameters are [-1.78154948 2.56829055] -3.153630197469475 ;\n", + "Epoch 140/1000, Cost: 6.3799\n", + " and the parameters are [-1.78160272 2.56827476] -3.153684437536507 ;\n", + "Epoch 140/1000, Cost: 3.5210\n", + " and the parameters are [-1.7816413 2.56837102] -3.153674259748183 ;\n", + "Epoch 140/1000, Cost: 4.6517\n", + " and the parameters are [-1.78164863 2.56842497] -3.1537166617545633 ;\n", + "Epoch 140/1000, Cost: 5.6828\n", + " and the parameters are [-1.7818031 2.56845084] -3.153695275453608 ;\n", + "Epoch 140/1000, Cost: 3.6849\n", + " and the parameters are [-1.78178556 2.56857431] -3.1536912418721803 ;\n", + "Epoch 140/1000, Cost: 4.8687\n", + " and the parameters are [-1.78177262 2.56864351] -3.1537447495374584 ;\n", + "Epoch 140/1000, Cost: 5.7311\n", + " and the parameters are [-1.78181687 2.56870187] -3.153753112049111 ;\n", + "Epoch 140/1000, Cost: 3.3703\n", + " and the parameters are [-1.78186864 2.56877865] -3.1537639705975162 ;\n", + "Epoch 140/1000, Cost: 5.6608\n", + " and the parameters are [-1.7819467 2.56874788] -3.1538344081708933 ;\n", + "Epoch 140/1000, Cost: 6.7191\n", + " and the parameters are [-1.78195482 2.56874149] -3.1538772500313605 ;\n", + "Epoch 140/1000, Cost: 3.1617\n", + " and the parameters are [-1.78191225 2.5689379 ] -3.1538267368751978 ;\n", + "Epoch 140/1000, Cost: 7.1591\n", + " and the parameters are [-1.78201241 2.56882029] -3.1539315428210357 ;\n", + "Epoch 140/1000, Cost: 3.0267\n", + " and the parameters are [-1.78197933 2.56887158] -3.153996741344875 ;\n", + "Epoch 140/1000, Cost: 3.2589\n", + " and the parameters are [-1.78191824 2.56907031] -3.1539493912721674 ;\n", + "Epoch 140/1000, Cost: 3.9440\n", + " and the parameters are [-1.78193698 2.56910227] -3.1539931873239953 ;\n", + "Epoch 140/1000, Cost: 5.5896\n", + " and the parameters are [-1.78196771 2.56908015] -3.1540843711459146 ;\n", + "Epoch 140/1000, Cost: 3.6364\n", + " and the parameters are [-1.78199388 2.56910493] -3.1541353023670777 ;\n", + "Epoch 140/1000, Cost: 3.3402\n", + " and the parameters are [-1.78204863 2.56916501] -3.154125393790982 ;\n", + "Epoch 140/1000, Cost: 3.5349\n", + " and the parameters are [-1.78204242 2.5692303 ] -3.1541646163106374 ;\n", + "Epoch 140/1000, Cost: 4.0715\n", + " and the parameters are [-1.78201396 2.5693843 ] -3.154152209587478 ;\n", + "Epoch 140/1000, Cost: 6.2490\n", + " and the parameters are [-1.78203089 2.56935564] -3.1542388588039816 ;\n", + "Epoch 140/1000, Cost: 4.7377\n", + " and the parameters are [-1.7820075 2.56951513] -3.15420615616895 ;\n", + "Epoch 140/1000, Cost: 4.8311\n", + " and the parameters are [-1.78202198 2.56948606] -3.154311209784398 ;\n", + "Epoch 140/1000, Cost: 4.8394\n", + " and the parameters are [-1.78205516 2.56949662] -3.1543821886136154 ;\n", + "Epoch 140/1000, Cost: 5.3286\n", + " and the parameters are [-1.78208792 2.56936847] -3.1545392737816607 ;\n", + "Epoch 140/1000, Cost: 5.2479\n", + " and the parameters are [-1.78217844 2.56931304] -3.1546347328492574 ;\n", + "Epoch 140/1000, Cost: 5.0149\n", + " and the parameters are [-1.78213957 2.56938813] -3.1546616502929337 ;\n", + "Epoch 140/1000, Cost: 3.3309\n", + " and the parameters are [-1.78210957 2.56940203] -3.1547470884171327 ;\n", + "Epoch 140/1000, Cost: 5.3564\n", + " and the parameters are [-1.78209437 2.5694259 ] -3.1548208172920167 ;\n", + "Epoch 140/1000, Cost: 4.1845\n", + " and the parameters are [-1.78214975 2.56937212] -3.1549248401315593 ;\n", + "Epoch 140/1000, Cost: 5.4660\n", + " and the parameters are [-1.78224015 2.56934829] -3.154989638484592 ;\n", + "Epoch 140/1000, Cost: 4.9745\n", + " and the parameters are [-1.78230623 2.56938117] -3.1550063676053304 ;\n", + "Epoch 140/1000, Cost: 3.2392\n", + " and the parameters are [-1.78228956 2.56939255] -3.155090946253871 ;\n", + "Epoch 140/1000, Cost: 3.6117\n", + " and the parameters are [-1.78229587 2.56955706] -3.155054362945047 ;\n", + "Epoch 140/1000, Cost: 3.7095\n", + " and the parameters are [-1.78232993 2.56957291] -3.155123165678236 ;\n", + "Epoch 140/1000, Cost: 6.6479\n", + " and the parameters are [-1.78246697 2.56948751] -3.155184506069043 ;\n", + "Epoch 140/1000, Cost: 3.6353\n", + " and the parameters are [-1.78249044 2.56964902] -3.155115700487728 ;\n", + "Epoch 140/1000, Cost: 6.0234\n", + " and the parameters are [-1.78257515 2.5695455 ] -3.1551952254337605 ;\n", + "Epoch 140/1000, Cost: 5.1525\n", + " and the parameters are [-1.78262061 2.56953351] -3.1552737897838217 ;\n", + "Epoch 140/1000, Cost: 4.1229\n", + " and the parameters are [-1.78269846 2.56948049] -3.155358554609876 ;\n", + "Epoch 140/1000, Cost: 6.9342\n", + " and the parameters are [-1.78280963 2.5694016 ] -3.1554348392823317 ;\n", + "Epoch 140/1000, Cost: 6.0592\n", + " and the parameters are [-1.78285634 2.56941201] -3.155505630809382 ;\n", + "Epoch 140/1000, Cost: 3.7179\n", + " and the parameters are [-1.78281501 2.56944218] -3.1555791125240478 ;\n", + "Epoch 140/1000, Cost: 5.2309\n", + " and the parameters are [-1.78293789 2.56939844] -3.155641122891754 ;\n", + "Epoch 140/1000, Cost: 3.5813\n", + " and the parameters are [-1.78285472 2.56945868] -3.1557206616476985 ;\n", + "Epoch 140/1000, Cost: 5.8091\n", + " and the parameters are [-1.78298673 2.56945762] -3.155710238355115 ;\n", + "Epoch 140/1000, Cost: 3.4823\n", + " and the parameters are [-1.78307232 2.56940101] -3.1557977629436045 ;\n", + "Epoch 140/1000, Cost: 4.0172\n", + " and the parameters are [-1.78306376 2.56953667] -3.1557822179318995 ;\n", + "Epoch 140/1000, Cost: 7.5670\n", + " and the parameters are [-1.78303829 2.56948571] -3.155880488208962 ;\n", + "Epoch 140/1000, Cost: 4.7165\n", + " and the parameters are [-1.78305878 2.56961487] -3.1558414169934017 ;\n", + "Epoch 140/1000, Cost: 3.7199\n", + " and the parameters are [-1.78317273 2.56956442] -3.155899451986302 ;\n", + "Epoch 140/1000, Cost: 5.3883\n", + " and the parameters are [-1.78320174 2.56955493] -3.1559655796126234 ;\n", + "Epoch 140/1000, Cost: 5.2087\n", + " and the parameters are [-1.78318017 2.5695843 ] -3.1560336588435676 ;\n", + "Epoch 140/1000, Cost: 4.5436\n", + " and the parameters are [-1.78325639 2.56959903] -3.1560835531229374 ;\n", + "Epoch 140/1000, Cost: 6.1270\n", + " and the parameters are [-1.78323524 2.56963533] -3.1561429316891125 ;\n", + "Epoch 140/1000, Cost: 4.2725\n", + " and the parameters are [-1.7832682 2.56969115] -3.1561583329521183 ;\n", + "Epoch 140/1000, Cost: 4.1341\n", + " and the parameters are [-1.7832525 2.56964814] -3.15629113627368 ;\n", + "Epoch 140/1000, Cost: 5.7898\n", + " and the parameters are [-1.78327633 2.56956774] -3.1564172200430263 ;\n", + "Epoch 140/1000, Cost: 5.3896\n", + " and the parameters are [-1.78318723 2.56963038] -3.156529297857418 ;\n", + "Epoch 140/1000, Cost: 4.6128\n", + " and the parameters are [-1.78324169 2.56966943] -3.156570631637651 ;\n", + "Epoch 140/1000, Cost: 10.9793\n", + " and the parameters are [-1.78319617 2.56975431] -3.156542902697901 ;\n", + "Epoch 140/1000, Cost: 7.3773\n", + " and the parameters are [-1.78325196 2.56980982] -3.1565621444549956 ;\n", + "Epoch 140/1000, Cost: 5.0624\n", + " and the parameters are [-1.78327278 2.56984483] -3.156576154102742 ;\n", + "Epoch 140/1000, Cost: 4.1734\n", + " and the parameters are [-1.78329767 2.56980693] -3.156690946808364 ;\n", + "Epoch 140/1000, Cost: 3.9326\n", + " and the parameters are [-1.78330104 2.5699034 ] -3.156715217406554 ;\n", + "Epoch 140/1000, Cost: 3.7272\n", + " and the parameters are [-1.78333193 2.56992531] -3.1567705452915384 ;\n", + "Epoch 140/1000, Cost: 4.8644\n", + " and the parameters are [-1.7832026 2.57022375] -3.156714505218958 ;\n", + "Epoch 140/1000, Cost: 3.3767\n", + " and the parameters are [-1.7832185 2.57023748] -3.1567807732741078 ;\n", + "Epoch 140/1000, Cost: 2.4261\n", + " and the parameters are [-1.78325637 2.57024625] -3.156834394237875 ;\n", + "Epoch 140/1000, Cost: 7.2246\n", + " and the parameters are [-1.78325182 2.57028674] -3.1568760584377795 ;\n", + "Epoch 140/1000, Cost: 4.1426\n", + " and the parameters are [-1.78330044 2.57026207] -3.1569661687649466 ;\n", + "Epoch 140/1000, Cost: 5.1447\n", + " and the parameters are [-1.78341837 2.57024952] -3.1570097650672952 ;\n", + "Epoch 140/1000, Cost: 3.2214\n", + " and the parameters are [-1.78343167 2.57033594] -3.1570256737889744 ;\n", + "Epoch 140/1000, Cost: 5.4379\n", + " and the parameters are [-1.78349996 2.57028438] -3.157114983021719 ;\n", + "Epoch 140/1000, Cost: 6.2188\n", + " and the parameters are [-1.78350087 2.57017545] -3.15729808537122 ;\n", + "Epoch 140/1000, Cost: 3.4590\n", + " and the parameters are [-1.78346713 2.57023398] -3.1573643690181776 ;\n", + "Epoch 140/1000, Cost: 4.3870\n", + " and the parameters are [-1.7835438 2.57016566] -3.1574521684753916 ;\n", + "Epoch 140/1000, Cost: 4.3933\n", + " and the parameters are [-1.78355993 2.57029485] -3.1574353226997744 ;\n", + "Epoch 140/1000, Cost: 6.3605\n", + " and the parameters are [-1.78361085 2.57022455] -3.157562133610894 ;\n", + "Epoch 140/1000, Cost: 6.2127\n", + " and the parameters are [-1.78364708 2.57023971] -3.1575959206607886 ;\n", + "Epoch 140/1000, Cost: 4.9237\n", + " and the parameters are [-1.78364364 2.57028912] -3.157632676240822 ;\n", + "Epoch 140/1000, Cost: 3.8496\n", + " and the parameters are [-1.78369031 2.57036698] -3.1576307379395354 ;\n", + "Epoch 140/1000, Cost: 2.9866\n", + " and the parameters are [-1.78369615 2.57045826] -3.1576246827953294 ;\n", + "Epoch 140/1000, Cost: 3.7107\n", + " and the parameters are [-1.78375094 2.57049021] -3.1576586324341336 ;\n", + "Epoch 140/1000, Cost: 6.4784\n", + " and the parameters are [-1.78378546 2.57055979] -3.157650478262812 ;\n", + "Epoch 140/1000, Cost: 3.5198\n", + " and the parameters are [-1.78384754 2.5705174 ] -3.1577533996089375 ;\n", + "Epoch 140/1000, Cost: 3.6798\n", + " and the parameters are [-1.78389912 2.57061599] -3.157727310069025 ;\n", + "Epoch 140/1000, Cost: 7.1736\n", + " and the parameters are [-1.78390457 2.5705697 ] -3.157799774100253 ;\n", + "Epoch 140/1000, Cost: 4.1517\n", + " and the parameters are [-1.78382269 2.57060146] -3.1578969045743253 ;\n", + "Epoch 140/1000, Cost: 7.5789\n", + " and the parameters are [-1.78380903 2.57068166] -3.1579020032038754 ;\n", + "Epoch 140/1000, Cost: 7.0476\n", + " and the parameters are [-1.7837807 2.57069179] -3.157987612966025 ;\n", + "Epoch 140/1000, Cost: 6.4222\n", + " and the parameters are [-1.7837244 2.57069799] -3.1580979317672155 ;\n", + "Epoch 140/1000, Cost: 5.9123\n", + " and the parameters are [-1.78378498 2.57074014] -3.1580909698620676 ;\n", + "Epoch 140/1000, Cost: 7.2774\n", + " and the parameters are [-1.78386144 2.5708313 ] -3.1580409968361742 ;\n", + "Epoch 140/1000, Cost: 5.8869\n", + " and the parameters are [-1.78394267 2.57089245] -3.158026337354959 ;\n", + "Epoch 140/1000, Cost: 6.1307\n", + " and the parameters are [-1.78388286 2.57094288] -3.158065945621668 ;\n", + "Epoch 140/1000, Cost: 6.0430\n", + " and the parameters are [-1.78386972 2.57094579] -3.1581365749610795 ;\n", + "Epoch 140/1000, Cost: 4.9886\n", + " and the parameters are [-1.78399332 2.57085391] -3.158203570707006 ;\n", + "Epoch 140/1000, Cost: 4.7791\n", + " and the parameters are [-1.78393597 2.57096265] -3.158243209555723 ;\n", + "Epoch 140/1000, Cost: 4.3862\n", + " and the parameters are [-1.78397652 2.5709873 ] -3.1582951461981246 ;\n", + "Epoch 140/1000, Cost: 3.8107\n", + " and the parameters are [-1.78403621 2.57099546] -3.1583232191119484 ;\n", + "Epoch 140/1000, Cost: 4.1651\n", + " and the parameters are [-1.78399488 2.57102441] -3.1584189680277595 ;\n", + "Epoch 140/1000, Cost: 3.3055\n", + " and the parameters are [-1.78399847 2.57109628] -3.1584575956531755 ;\n", + "Epoch 140/1000, Cost: 4.9881\n", + " and the parameters are [-1.78408353 2.57107054] -3.1584986597847142 ;\n", + "Epoch 140/1000, Cost: 2.2568\n", + " and the parameters are [-1.78409877 2.57116549] -3.158495212427141 ;\n", + "Epoch 140/1000, Cost: 4.9327\n", + " and the parameters are [-1.78408163 2.571241 ] -3.1585245527056522 ;\n", + "Epoch 140/1000, Cost: 7.5892\n", + " and the parameters are [-1.78411448 2.57127601] -3.1585275741050505 ;\n", + "Epoch 140/1000, Cost: 3.9880\n", + " and the parameters are [-1.78422545 2.5712839 ] -3.1585505364712363 ;\n", + "Epoch 140/1000, Cost: 3.9440\n", + " and the parameters are [-1.7842196 2.57137798] -3.1585915019824387 ;\n", + "Epoch 140/1000, Cost: 3.2548\n", + " and the parameters are [-1.78423584 2.57137933] -3.1586692526427393 ;\n", + "Epoch 140/1000, Cost: 5.1958\n", + " and the parameters are [-1.78422941 2.57134194] -3.1587877348577216 ;\n", + "Epoch 140/1000, Cost: 3.9865\n", + " and the parameters are [-1.78423838 2.57129567] -3.1588914087286235 ;\n", + "Epoch 140/1000, Cost: 4.3378\n", + " and the parameters are [-1.78430677 2.5713666 ] -3.1588784557376837 ;\n", + "Epoch 140/1000, Cost: 3.4668\n", + " and the parameters are [-1.78430761 2.57143468] -3.158903705176603 ;\n", + "Epoch 140/1000, Cost: 5.6865\n", + " and the parameters are [-1.78442643 2.57135909] -3.1589760432077925 ;\n", + "Epoch 140/1000, Cost: 5.3549\n", + " and the parameters are [-1.78447182 2.57130931] -3.15907050659738 ;\n", + "Epoch 140/1000, Cost: 5.6154\n", + " and the parameters are [-1.78453861 2.57118305] -3.159224027717569 ;\n", + "Epoch 140/1000, Cost: 5.8622\n", + " and the parameters are [-1.78468902 2.57116152] -3.1592473626392947 ;\n", + "Epoch 140/1000, Cost: 5.3746\n", + " and the parameters are [-1.7846699 2.57119333] -3.1593133561912383 ;\n", + "Epoch 140/1000, Cost: 4.1480\n", + " and the parameters are [-1.78471728 2.57132314] -3.1592859777357747 ;\n", + "Epoch 140/1000, Cost: 5.8564\n", + " and the parameters are [-1.78475993 2.57131433] -3.159348922842024 ;\n", + "Epoch 140/1000, Cost: 4.1981\n", + " and the parameters are [-1.78481137 2.57129225] -3.1594357022568014 ;\n", + "Epoch 140/1000, Cost: 5.0179\n", + " and the parameters are [-1.78493893 2.57120599] -3.1594840447513732 ;\n", + "Epoch 140/1000, Cost: 6.9374\n", + " and the parameters are [-1.78505736 2.57123495] -3.1594748981880016 ;\n", + "Epoch 140/1000, Cost: 3.7466\n", + " and the parameters are [-1.78507794 2.57135855] -3.159454089703705 ;\n", + "Epoch 140/1000, Cost: 7.0709\n", + " and the parameters are [-1.78506946 2.57132481] -3.1595675645066206 ;\n", + "Epoch 140/1000, Cost: 3.6201\n", + " and the parameters are [-1.78508104 2.57138693] -3.159600562493128 ;\n", + "Epoch 140/1000, Cost: 7.0130\n", + " and the parameters are [-1.78525659 2.57141703] -3.1595642731307025 ;\n", + "Epoch 140/1000, Cost: 4.2641\n", + " and the parameters are [-1.78529542 2.5714347 ] -3.1596160110681453 ;\n", + "Epoch 140/1000, Cost: 5.2831\n", + " and the parameters are [-1.78538237 2.57137879] -3.159698468611263 ;\n", + "Epoch 140/1000, Cost: 5.9043\n", + " and the parameters are [-1.78531074 2.57151268] -3.159661854242622 ;\n", + "Epoch 140/1000, Cost: 5.1436\n", + " and the parameters are [-1.78539676 2.57149051] -3.1597037515003876 ;\n", + "Epoch 140/1000, Cost: 3.9190\n", + " and the parameters are [-1.78536617 2.57163191] -3.1597002171675523 ;\n", + "Epoch 140/1000, Cost: 4.5802\n", + " and the parameters are [-1.78539954 2.57162433] -3.1597620192886824 ;\n", + "Epoch 140/1000, Cost: 3.0432\n", + " and the parameters are [-1.78541996 2.57171762] -3.1597722813238556 ;\n", + "Epoch 140/1000, Cost: 5.1624\n", + " and the parameters are [-1.78542251 2.57172729] -3.1598470860874253 ;\n", + "Epoch 140/1000, Cost: 6.8649\n", + " and the parameters are [-1.78547779 2.57166311] -3.1599383576438584 ;\n", + "Epoch 140/1000, Cost: 4.1715\n", + " and the parameters are [-1.78540578 2.5717332 ] -3.160002374214631 ;\n", + "Epoch 140/1000, Cost: 5.3322\n", + " and the parameters are [-1.7854119 2.5717498] -3.160054741236559 ;\n", + "Epoch 140/1000, Cost: 6.6921\n", + " and the parameters are [-1.78552657 2.57173421] -3.16009418846158 ;\n", + "Epoch 140/1000, Cost: 5.3881\n", + " and the parameters are [-1.78553847 2.57171357] -3.160185900916315 ;\n", + "Epoch 140/1000, Cost: 5.7113\n", + " and the parameters are [-1.78546969 2.57188494] -3.1601957132979774 ;\n", + "Epoch 140/1000, Cost: 4.3165\n", + " and the parameters are [-1.78549554 2.57188277] -3.160276347585901 ;\n", + "Epoch 140/1000, Cost: 5.3542\n", + " and the parameters are [-1.78549407 2.57207114] -3.160200068225162 ;\n", + "Epoch 140/1000, Cost: 4.4954\n", + " and the parameters are [-1.78551567 2.57205361] -3.160281193246589 ;\n", + "Epoch 140/1000, Cost: 4.3335\n", + " and the parameters are [-1.78553137 2.5720315 ] -3.1603868290009958 ;\n", + "Epoch 140/1000, Cost: 3.6086\n", + " and the parameters are [-1.78552534 2.57221904] -3.1603371376239133 ;\n", + "Epoch 140/1000, Cost: 4.5999\n", + " and the parameters are [-1.78547448 2.57242817] -3.1602706815438144 ;\n", + "Epoch 140/1000, Cost: 3.7840\n", + " and the parameters are [-1.78556686 2.57242111] -3.160324606894745 ;\n", + "Epoch 140/1000, Cost: 4.2969\n", + " and the parameters are [-1.78554981 2.57244951] -3.1603888207630084 ;\n", + "Epoch 140/1000, Cost: 4.2363\n", + " and the parameters are [-1.78554501 2.57249386] -3.160441949325623 ;\n", + "Epoch 140/1000, Cost: 5.0290\n", + " and the parameters are [-1.78558266 2.57259486] -3.160413820322251 ;\n", + "Epoch 140/1000, Cost: 5.9061\n", + " and the parameters are [-1.78558012 2.57267263] -3.160426865444004 ;\n", + "Epoch 140/1000, Cost: 4.8275\n", + " and the parameters are [-1.78554953 2.57281279] -3.1604327982414935 ;\n", + "Epoch 140/1000, Cost: 7.4359\n", + " and the parameters are [-1.78561524 2.57270977] -3.160525562040041 ;\n", + "Epoch 140/1000, Cost: 6.7520\n", + " and the parameters are [-1.7855299 2.57285169] -3.1605477478852437 ;\n", + "Epoch 140/1000, Cost: 8.1981\n", + " and the parameters are [-1.78559671 2.57281734] -3.160596944498724 ;\n", + "Epoch 140/1000, Cost: 5.1650\n", + " and the parameters are [-1.78564035 2.57281365] -3.1606586513322164 ;\n", + "Epoch 140/1000, Cost: 3.6130\n", + " and the parameters are [-1.78559001 2.57285027] -3.1607367791832317 ;\n", + "Epoch 140/1000, Cost: 5.5935\n", + " and the parameters are [-1.78560307 2.57295556] -3.160735614859366 ;\n", + "Epoch 140/1000, Cost: 6.1931\n", + " and the parameters are [-1.78567842 2.57288736] -3.1608384833251266 ;\n", + "Epoch 140/1000, Cost: 7.0624\n", + " and the parameters are [-1.78574963 2.5728541 ] -3.1608693138328645 ;\n", + "Epoch 140/1000, Cost: 5.7140\n", + " and the parameters are [-1.78581463 2.57275824] -3.160992039855021 ;\n", + "Epoch 150/1000, Cost: 3.8966\n", + " and the parameters are [-1.82975155 2.62506418] -3.238876905127819 ;\n", + "Epoch 150/1000, Cost: 6.0679\n", + " and the parameters are [-1.82982776 2.62511013] -3.238858033592982 ;\n", + "Epoch 150/1000, Cost: 3.1023\n", + " and the parameters are [-1.82989314 2.62510732] -3.2389063473339017 ;\n", + "Epoch 150/1000, Cost: 3.7166\n", + " and the parameters are [-1.82990117 2.62513894] -3.23896642881649 ;\n", + "Epoch 150/1000, Cost: 3.4791\n", + " and the parameters are [-1.8299474 2.62518337] -3.238987001505757 ;\n", + "Epoch 150/1000, Cost: 3.3255\n", + " and the parameters are [-1.83001488 2.62513349] -3.2390661981272375 ;\n", + "Epoch 150/1000, Cost: 3.6143\n", + " and the parameters are [-1.83004832 2.62518568] -3.2390794107570207 ;\n", + "Epoch 150/1000, Cost: 3.9528\n", + " and the parameters are [-1.83003706 2.62522182] -3.2391100052957604 ;\n", + "Epoch 150/1000, Cost: 4.9164\n", + " and the parameters are [-1.83005445 2.62532286] -3.239101906548537 ;\n", + "Epoch 150/1000, Cost: 6.2153\n", + " and the parameters are [-1.83016155 2.62517388] -3.239233159539643 ;\n", + "Epoch 150/1000, Cost: 5.8313\n", + " and the parameters are [-1.83023106 2.62511827] -3.2393051411418448 ;\n", + "Epoch 150/1000, Cost: 4.0524\n", + " and the parameters are [-1.83032751 2.6252282 ] -3.2392515747983808 ;\n", + "Epoch 150/1000, Cost: 3.8007\n", + " and the parameters are [-1.830378 2.62525489] -3.2392856431398473 ;\n", + "Epoch 150/1000, Cost: 3.0996\n", + " and the parameters are [-1.83041222 2.6252573 ] -3.239352188562552 ;\n", + "Epoch 150/1000, Cost: 3.4960\n", + " and the parameters are [-1.83041656 2.62532405] -3.2393834771288574 ;\n", + "Epoch 150/1000, Cost: 5.6783\n", + " and the parameters are [-1.83045248 2.62533269] -3.239417313181183 ;\n", + "Epoch 150/1000, Cost: 5.0619\n", + " and the parameters are [-1.83038579 2.62541529] -3.2394834865055446 ;\n", + "Epoch 150/1000, Cost: 4.7974\n", + " and the parameters are [-1.83041079 2.62548853] -3.239502676654879 ;\n", + "Epoch 150/1000, Cost: 4.8451\n", + " and the parameters are [-1.83042228 2.62541697] -3.239629802593582 ;\n", + "Epoch 150/1000, Cost: 3.7235\n", + " and the parameters are [-1.83039237 2.62542188] -3.2397362457108625 ;\n", + "Epoch 150/1000, Cost: 4.4630\n", + " and the parameters are [-1.83033046 2.62566914] -3.239659844256744 ;\n", + "Epoch 150/1000, Cost: 4.9967\n", + " and the parameters are [-1.8303567 2.62573851] -3.2396792987464322 ;\n", + "Epoch 150/1000, Cost: 10.7435\n", + " and the parameters are [-1.83032046 2.62570848] -3.239750441059688 ;\n", + "Epoch 150/1000, Cost: 3.3062\n", + " and the parameters are [-1.83030617 2.62578046] -3.2397719558137137 ;\n", + "Epoch 150/1000, Cost: 5.3122\n", + " and the parameters are [-1.8303488 2.62574282] -3.2398437462971854 ;\n", + "Epoch 150/1000, Cost: 3.7728\n", + " and the parameters are [-1.83034957 2.62572022] -3.239935888325927 ;\n", + "Epoch 150/1000, Cost: 2.3150\n", + " and the parameters are [-1.83041616 2.625763 ] -3.2399472475185513 ;\n", + "Epoch 150/1000, Cost: 4.3046\n", + " and the parameters are [-1.83044444 2.62570796] -3.2400457703693903 ;\n", + "Epoch 150/1000, Cost: 4.6175\n", + " and the parameters are [-1.83046296 2.62578304] -3.2400679561304235 ;\n", + "Epoch 150/1000, Cost: 5.0116\n", + " and the parameters are [-1.83042328 2.62586957] -3.2400948144451487 ;\n", + "Epoch 150/1000, Cost: 5.6639\n", + " and the parameters are [-1.8305003 2.6258652] -3.2401309534120193 ;\n", + "Epoch 150/1000, Cost: 7.4961\n", + " and the parameters are [-1.83038242 2.62587412] -3.240226319767919 ;\n", + "Epoch 150/1000, Cost: 4.6756\n", + " and the parameters are [-1.8303727 2.62596989] -3.2402245294143506 ;\n", + "Epoch 150/1000, Cost: 3.8460\n", + " and the parameters are [-1.83042138 2.62590058] -3.2403387338015044 ;\n", + "Epoch 150/1000, Cost: 6.4017\n", + " and the parameters are [-1.83059902 2.62586772] -3.2403386839239716 ;\n", + "Epoch 150/1000, Cost: 4.0689\n", + " and the parameters are [-1.83066491 2.62583721] -3.2404085386988597 ;\n", + "Epoch 150/1000, Cost: 5.3444\n", + " and the parameters are [-1.830717 2.62579373] -3.2404729557904735 ;\n", + "Epoch 150/1000, Cost: 5.8109\n", + " and the parameters are [-1.8307867 2.62576271] -3.2405657993100934 ;\n", + "Epoch 150/1000, Cost: 2.8515\n", + " and the parameters are [-1.83080987 2.62582767] -3.2405933705294796 ;\n", + "Epoch 150/1000, Cost: 4.8903\n", + " and the parameters are [-1.83090406 2.62584392] -3.240614219604131 ;\n", + "Epoch 150/1000, Cost: 5.0827\n", + " and the parameters are [-1.83097342 2.62599024] -3.2405339841174894 ;\n", + "Epoch 150/1000, Cost: 5.5192\n", + " and the parameters are [-1.83100934 2.62599398] -3.2405973389903493 ;\n", + "Epoch 150/1000, Cost: 4.6102\n", + " and the parameters are [-1.8309774 2.62613456] -3.2405787601716334 ;\n", + "Epoch 150/1000, Cost: 4.0301\n", + " and the parameters are [-1.83101515 2.62609163] -3.240675396487517 ;\n", + "Epoch 150/1000, Cost: 4.0101\n", + " and the parameters are [-1.8310076 2.62626785] -3.240626290027518 ;\n", + "Epoch 150/1000, Cost: 6.2928\n", + " and the parameters are [-1.83104049 2.62638432] -3.240578140826969 ;\n", + "Epoch 150/1000, Cost: 3.5195\n", + " and the parameters are [-1.83106177 2.6264965 ] -3.2405675952272115 ;\n", + "Epoch 150/1000, Cost: 4.1238\n", + " and the parameters are [-1.83107452 2.62648253] -3.2406464595286963 ;\n", + "Epoch 150/1000, Cost: 4.1105\n", + " and the parameters are [-1.83111086 2.62648694] -3.2407032858716143 ;\n", + "Epoch 150/1000, Cost: 5.6045\n", + " and the parameters are [-1.83110194 2.62657301] -3.2407274215141575 ;\n", + "Epoch 150/1000, Cost: 4.1016\n", + " and the parameters are [-1.83110584 2.62667822] -3.240713777325833 ;\n", + "Epoch 150/1000, Cost: 4.0685\n", + " and the parameters are [-1.83114367 2.62673573] -3.2407277273493804 ;\n", + "Epoch 150/1000, Cost: 3.9910\n", + " and the parameters are [-1.83111677 2.62680253] -3.2407745597047346 ;\n", + "Epoch 150/1000, Cost: 4.4196\n", + " and the parameters are [-1.83102575 2.62690705] -3.240823885174701 ;\n", + "Epoch 150/1000, Cost: 7.4780\n", + " and the parameters are [-1.83103148 2.62691229] -3.240865177178006 ;\n", + "Epoch 150/1000, Cost: 7.4472\n", + " and the parameters are [-1.83100266 2.62680052] -3.2410508610738344 ;\n", + "Epoch 150/1000, Cost: 3.8176\n", + " and the parameters are [-1.83099404 2.62687035] -3.2410900599616568 ;\n", + "Epoch 150/1000, Cost: 3.2272\n", + " and the parameters are [-1.83105284 2.62685414] -3.2411483583411913 ;\n", + "Epoch 150/1000, Cost: 6.3246\n", + " and the parameters are [-1.8312563 2.62679745] -3.2411669885155345 ;\n", + "Epoch 150/1000, Cost: 5.6234\n", + " and the parameters are [-1.83125267 2.62676667] -3.241271342705015 ;\n", + "Epoch 150/1000, Cost: 4.8992\n", + " and the parameters are [-1.83127456 2.62670207] -3.2413828546176506 ;\n", + "Epoch 150/1000, Cost: 6.6540\n", + " and the parameters are [-1.83119952 2.62677276] -3.241441483396819 ;\n", + "Epoch 150/1000, Cost: 5.6334\n", + " and the parameters are [-1.83126148 2.62672376] -3.2415304396393907 ;\n", + "Epoch 150/1000, Cost: 8.3566\n", + " and the parameters are [-1.83135405 2.6264829 ] -3.241711187692704 ;\n", + "Epoch 150/1000, Cost: 6.5032\n", + " and the parameters are [-1.83135745 2.62660076] -3.2416987973234996 ;\n", + "Epoch 150/1000, Cost: 4.3801\n", + " and the parameters are [-1.83123316 2.62674254] -3.2417477242875905 ;\n", + "Epoch 150/1000, Cost: 4.9957\n", + " and the parameters are [-1.8313034 2.62683328] -3.2417468343697537 ;\n", + "Epoch 150/1000, Cost: 4.8687\n", + " and the parameters are [-1.83136983 2.62685645] -3.241793527463827 ;\n", + "Epoch 150/1000, Cost: 4.2163\n", + " and the parameters are [-1.83143037 2.62683269] -3.241855917328796 ;\n", + "Epoch 150/1000, Cost: 4.9694\n", + " and the parameters are [-1.83143053 2.6269272 ] -3.2418499683615183 ;\n", + "Epoch 150/1000, Cost: 8.1741\n", + " and the parameters are [-1.83151377 2.62687586] -3.241854420426705 ;\n", + "Epoch 150/1000, Cost: 3.8597\n", + " and the parameters are [-1.83157965 2.62688439] -3.2418785423481626 ;\n", + "Epoch 150/1000, Cost: 3.5662\n", + " and the parameters are [-1.83156636 2.62691452] -3.2419259951901545 ;\n", + "Epoch 150/1000, Cost: 5.8260\n", + " and the parameters are [-1.83150479 2.62691073] -3.242021279309197 ;\n", + "Epoch 150/1000, Cost: 4.5451\n", + " and the parameters are [-1.83153341 2.62685903] -3.242118149831337 ;\n", + "Epoch 150/1000, Cost: 3.5481\n", + " and the parameters are [-1.83160256 2.62689252] -3.2421364829390344 ;\n", + "Epoch 150/1000, Cost: 3.3517\n", + " and the parameters are [-1.83155703 2.6269619 ] -3.2421925398348916 ;\n", + "Epoch 150/1000, Cost: 2.8187\n", + " and the parameters are [-1.83161076 2.62701154] -3.2422049948304177 ;\n", + "Epoch 150/1000, Cost: 5.0297\n", + " and the parameters are [-1.83158275 2.6270352 ] -3.242278782032059 ;\n", + "Epoch 150/1000, Cost: 3.3456\n", + " and the parameters are [-1.83163457 2.6270955 ] -3.242279206093059 ;\n", + "Epoch 150/1000, Cost: 6.6312\n", + " and the parameters are [-1.83159928 2.62710748] -3.2423587678048853 ;\n", + "Epoch 150/1000, Cost: 6.8460\n", + " and the parameters are [-1.83160833 2.62717746] -3.242389042070524 ;\n", + "Epoch 150/1000, Cost: 2.0675\n", + " and the parameters are [-1.83168518 2.62721707] -3.242392332468136 ;\n", + "Epoch 150/1000, Cost: 2.8631\n", + " and the parameters are [-1.83163992 2.62734146] -3.242399235881576 ;\n", + "Epoch 150/1000, Cost: 5.1735\n", + " and the parameters are [-1.83158091 2.62748189] -3.2424015092078213 ;\n", + "Epoch 150/1000, Cost: 3.8865\n", + " and the parameters are [-1.83157256 2.62758749] -3.2423873099290508 ;\n", + "Epoch 150/1000, Cost: 4.9606\n", + " and the parameters are [-1.83161957 2.62753664] -3.242505438517246 ;\n", + "Epoch 150/1000, Cost: 4.4658\n", + " and the parameters are [-1.83159691 2.62767084] -3.242518213653404 ;\n", + "Epoch 150/1000, Cost: 2.4548\n", + " and the parameters are [-1.83160047 2.62771051] -3.242555421517765 ;\n", + "Epoch 150/1000, Cost: 5.0577\n", + " and the parameters are [-1.83169267 2.62762606] -3.2426234008552717 ;\n", + "Epoch 150/1000, Cost: 7.1495\n", + " and the parameters are [-1.83177754 2.62749278] -3.242739199947625 ;\n", + "Epoch 150/1000, Cost: 4.7536\n", + " and the parameters are [-1.83189885 2.62743409] -3.242804373218348 ;\n", + "Epoch 150/1000, Cost: 3.3263\n", + " and the parameters are [-1.83191674 2.62754263] -3.242762659842361 ;\n", + "Epoch 150/1000, Cost: 6.7232\n", + " and the parameters are [-1.83200198 2.6274757 ] -3.242827016844389 ;\n", + "Epoch 150/1000, Cost: 4.7156\n", + " and the parameters are [-1.8319415 2.62762915] -3.242804948046139 ;\n", + "Epoch 150/1000, Cost: 4.9458\n", + " and the parameters are [-1.8319549 2.62765031] -3.242847444307022 ;\n", + "Epoch 150/1000, Cost: 6.5916\n", + " and the parameters are [-1.83212654 2.6275634 ] -3.2429024119518948 ;\n", + "Epoch 150/1000, Cost: 4.8480\n", + " and the parameters are [-1.83215734 2.62761668] -3.2429210871567364 ;\n", + "Epoch 150/1000, Cost: 7.1426\n", + " and the parameters are [-1.83220586 2.62756383] -3.2429987386268477 ;\n", + "Epoch 150/1000, Cost: 3.0598\n", + " and the parameters are [-1.83223241 2.62756188] -3.243068850306545 ;\n", + "Epoch 150/1000, Cost: 4.0480\n", + " and the parameters are [-1.83230717 2.6274927 ] -3.243174791039882 ;\n", + "Epoch 150/1000, Cost: 3.5405\n", + " and the parameters are [-1.8323233 2.62760919] -3.2431741644681837 ;\n", + "Epoch 150/1000, Cost: 4.2589\n", + " and the parameters are [-1.83233981 2.62768521] -3.2431944179190904 ;\n", + "Epoch 150/1000, Cost: 4.0000\n", + " and the parameters are [-1.83237065 2.62774999] -3.243217880116911 ;\n", + "Epoch 150/1000, Cost: 3.5230\n", + " and the parameters are [-1.83240971 2.62783544] -3.2432213844704054 ;\n", + "Epoch 150/1000, Cost: 5.6450\n", + " and the parameters are [-1.83244921 2.62782373] -3.2432874556309894 ;\n", + "Epoch 150/1000, Cost: 2.9789\n", + " and the parameters are [-1.83247454 2.62784283] -3.2433449058037223 ;\n", + "Epoch 150/1000, Cost: 3.7033\n", + " and the parameters are [-1.83254283 2.627908 ] -3.2433579106645416 ;\n", + "Epoch 150/1000, Cost: 5.3405\n", + " and the parameters are [-1.83258256 2.62788737] -3.24345353001964 ;\n", + "Epoch 150/1000, Cost: 5.4291\n", + " and the parameters are [-1.83257836 2.62794386] -3.2434825136704384 ;\n", + "Epoch 150/1000, Cost: 2.8736\n", + " and the parameters are [-1.83258447 2.62801511] -3.243502634694003 ;\n", + "Epoch 150/1000, Cost: 4.0824\n", + " and the parameters are [-1.83265145 2.62794601] -3.243586226470897 ;\n", + "Epoch 150/1000, Cost: 4.9350\n", + " and the parameters are [-1.83268043 2.62802259] -3.2435873561990167 ;\n", + "Epoch 150/1000, Cost: 8.6770\n", + " and the parameters are [-1.8326511 2.62797764] -3.243700738757636 ;\n", + "Epoch 150/1000, Cost: 6.3356\n", + " and the parameters are [-1.8326729 2.62787994] -3.243837424869513 ;\n", + "Epoch 150/1000, Cost: 3.9145\n", + " and the parameters are [-1.83271957 2.62787594] -3.243903504224005 ;\n", + "Epoch 150/1000, Cost: 6.5114\n", + " and the parameters are [-1.83271662 2.62785308] -3.2440123149224402 ;\n", + "Epoch 150/1000, Cost: 5.9369\n", + " and the parameters are [-1.83270213 2.62792597] -3.244025573078426 ;\n", + "Epoch 150/1000, Cost: 4.3235\n", + " and the parameters are [-1.83271321 2.6279784 ] -3.2440551266892435 ;\n", + "Epoch 150/1000, Cost: 4.7012\n", + " and the parameters are [-1.83270658 2.62795971] -3.2441549145576176 ;\n", + "Epoch 150/1000, Cost: 4.5911\n", + " and the parameters are [-1.83267095 2.62808581] -3.2441641638799217 ;\n", + "Epoch 150/1000, Cost: 3.3842\n", + " and the parameters are [-1.83269771 2.62819002] -3.2441302918018136 ;\n", + "Epoch 150/1000, Cost: 5.1079\n", + " and the parameters are [-1.83278257 2.62818489] -3.2441868656713955 ;\n", + "Epoch 150/1000, Cost: 7.1505\n", + " and the parameters are [-1.83276953 2.62813748] -3.244302259836394 ;\n", + "Epoch 150/1000, Cost: 5.2147\n", + " and the parameters are [-1.83279322 2.62810636] -3.244376324680553 ;\n", + "Epoch 150/1000, Cost: 9.4653\n", + " and the parameters are [-1.83292338 2.62802272] -3.2444042396039503 ;\n", + "Epoch 150/1000, Cost: 3.4684\n", + " and the parameters are [-1.83286628 2.62813423] -3.24443373910053 ;\n", + "Epoch 150/1000, Cost: 3.6060\n", + " and the parameters are [-1.83297021 2.62820092] -3.244405229723745 ;\n", + "Epoch 150/1000, Cost: 5.0677\n", + " and the parameters are [-1.83301592 2.62835347] -3.2443400638633255 ;\n", + "Epoch 150/1000, Cost: 2.5600\n", + " and the parameters are [-1.83299847 2.62841563] -3.2443782805011803 ;\n", + "Epoch 150/1000, Cost: 2.8196\n", + " and the parameters are [-1.83301072 2.62848221] -3.2443954393907015 ;\n", + "Epoch 150/1000, Cost: 5.3467\n", + " and the parameters are [-1.833083 2.62849552] -3.244428004618076 ;\n", + "Epoch 150/1000, Cost: 5.2324\n", + " and the parameters are [-1.83306589 2.62851708] -3.2445066137168532 ;\n", + "Epoch 150/1000, Cost: 5.8118\n", + " and the parameters are [-1.83309653 2.62838346] -3.2446864664861224 ;\n", + "Epoch 150/1000, Cost: 4.7452\n", + " and the parameters are [-1.83305956 2.62852212] -3.244684882946918 ;\n", + "Epoch 150/1000, Cost: 3.9470\n", + " and the parameters are [-1.83304199 2.62858501] -3.244720319629895 ;\n", + "Epoch 150/1000, Cost: 3.9614\n", + " and the parameters are [-1.83305368 2.62866012] -3.2447530553134656 ;\n", + "Epoch 150/1000, Cost: 5.8045\n", + " and the parameters are [-1.83310376 2.62875127] -3.2447207433023793 ;\n", + "Epoch 150/1000, Cost: 4.5298\n", + " and the parameters are [-1.8331194 2.62876576] -3.244788590311627 ;\n", + "Epoch 150/1000, Cost: 3.6412\n", + " and the parameters are [-1.83308165 2.6287858 ] -3.244884303535929 ;\n", + "Epoch 150/1000, Cost: 4.2107\n", + " and the parameters are [-1.83305218 2.62881753] -3.2449525857139747 ;\n", + "Epoch 150/1000, Cost: 6.6151\n", + " and the parameters are [-1.8331707 2.62872224] -3.2450432975705867 ;\n", + "Epoch 150/1000, Cost: 3.6983\n", + " and the parameters are [-1.83314066 2.62883571] -3.245065362531026 ;\n", + "Epoch 150/1000, Cost: 2.4482\n", + " and the parameters are [-1.83314476 2.62893641] -3.245055077244315 ;\n", + "Epoch 150/1000, Cost: 4.1729\n", + " and the parameters are [-1.83320498 2.62898442] -3.245061578812557 ;\n", + "Epoch 150/1000, Cost: 8.1586\n", + " and the parameters are [-1.83323952 2.62891122] -3.245180494772103 ;\n", + "Epoch 150/1000, Cost: 5.9792\n", + " and the parameters are [-1.83320806 2.62894208] -3.245262819765378 ;\n", + "Epoch 150/1000, Cost: 5.4195\n", + " and the parameters are [-1.83323433 2.6290025 ] -3.245273522105312 ;\n", + "Epoch 150/1000, Cost: 6.1848\n", + " and the parameters are [-1.83316438 2.62911465] -3.245270294127596 ;\n", + "Epoch 150/1000, Cost: 7.1857\n", + " and the parameters are [-1.83320695 2.62906332] -3.2453409629074983 ;\n", + "Epoch 150/1000, Cost: 6.7804\n", + " and the parameters are [-1.83328032 2.6289952 ] -3.2453821243569805 ;\n", + "Epoch 150/1000, Cost: 3.8666\n", + " and the parameters are [-1.83331314 2.62901018] -3.2454470987526656 ;\n", + "Epoch 150/1000, Cost: 4.1445\n", + " and the parameters are [-1.83325775 2.62902292] -3.245524574389415 ;\n", + "Epoch 150/1000, Cost: 3.8172\n", + " and the parameters are [-1.83320353 2.62925779] -3.2454411177322937 ;\n", + "Epoch 150/1000, Cost: 6.3142\n", + " and the parameters are [-1.83328863 2.62915552] -3.245576485675863 ;\n", + "Epoch 150/1000, Cost: 5.0298\n", + " and the parameters are [-1.83329161 2.62917119] -3.2456321054980917 ;\n", + "Epoch 150/1000, Cost: 6.0113\n", + " and the parameters are [-1.83329269 2.62925502] -3.2456663371638457 ;\n", + "Epoch 150/1000, Cost: 3.4084\n", + " and the parameters are [-1.83329596 2.62938532] -3.245651787088451 ;\n", + "Epoch 150/1000, Cost: 2.1736\n", + " and the parameters are [-1.83327726 2.62944983] -3.2456833689327684 ;\n", + "Epoch 150/1000, Cost: 6.3214\n", + " and the parameters are [-1.83333173 2.62940407] -3.2457754116844524 ;\n", + "Epoch 150/1000, Cost: 4.0599\n", + " and the parameters are [-1.83332567 2.62953758] -3.2457606724518935 ;\n", + "Epoch 150/1000, Cost: 5.5098\n", + " and the parameters are [-1.83335415 2.62947454] -3.245837374984826 ;\n", + "Epoch 150/1000, Cost: 4.5161\n", + " and the parameters are [-1.8333998 2.62940245] -3.245969980078182 ;\n", + "Epoch 150/1000, Cost: 4.3231\n", + " and the parameters are [-1.83341113 2.62942131] -3.246023425469048 ;\n", + "Epoch 150/1000, Cost: 3.9460\n", + " and the parameters are [-1.83348799 2.62954661] -3.2459725953821708 ;\n", + "Epoch 150/1000, Cost: 3.2184\n", + " and the parameters are [-1.83344668 2.62960538] -3.246020923213702 ;\n", + "Epoch 150/1000, Cost: 4.1060\n", + " and the parameters are [-1.83346224 2.62969919] -3.246013508752006 ;\n", + "Epoch 150/1000, Cost: 3.9300\n", + " and the parameters are [-1.83351212 2.62980378] -3.2459866534404003 ;\n", + "Epoch 150/1000, Cost: 4.2835\n", + " and the parameters are [-1.83354489 2.62991394] -3.245961002681483 ;\n", + "Epoch 150/1000, Cost: 6.9646\n", + " and the parameters are [-1.83354131 2.6299542 ] -3.245982481839155 ;\n", + "Epoch 150/1000, Cost: 6.1290\n", + " and the parameters are [-1.83352563 2.63010944] -3.2458995203275363 ;\n", + "Epoch 150/1000, Cost: 4.9051\n", + " and the parameters are [-1.83350957 2.63018491] -3.245964556023213 ;\n", + "Epoch 150/1000, Cost: 4.2866\n", + " and the parameters are [-1.83350481 2.63024752] -3.2460234562346972 ;\n", + "Epoch 150/1000, Cost: 4.2770\n", + " and the parameters are [-1.83354587 2.63030508] -3.2460345075503305 ;\n", + "Epoch 150/1000, Cost: 4.2191\n", + " and the parameters are [-1.83361356 2.63035504] -3.246048610129664 ;\n", + "Epoch 150/1000, Cost: 6.1691\n", + " and the parameters are [-1.83381773 2.63018861] -3.2461295123950578 ;\n", + "Epoch 150/1000, Cost: 5.1767\n", + " and the parameters are [-1.83386442 2.63012884] -3.2462146852698694 ;\n", + "Epoch 150/1000, Cost: 5.4066\n", + " and the parameters are [-1.83386792 2.63007272] -3.2463325435293577 ;\n", + "Epoch 150/1000, Cost: 5.2080\n", + " and the parameters are [-1.83394548 2.62996277] -3.2464647383522376 ;\n", + "Epoch 150/1000, Cost: 4.7131\n", + " and the parameters are [-1.83394875 2.6301197 ] -3.2464263926624763 ;\n", + "Epoch 150/1000, Cost: 2.6876\n", + " and the parameters are [-1.8339716 2.6301572] -3.246454112750231 ;\n", + "Epoch 150/1000, Cost: 4.5154\n", + " and the parameters are [-1.83393031 2.63016121] -3.2465507611558118 ;\n", + "Epoch 150/1000, Cost: 4.9297\n", + " and the parameters are [-1.83398073 2.63025082] -3.2465361991535033 ;\n", + "Epoch 150/1000, Cost: 2.7114\n", + " and the parameters are [-1.83400276 2.63030806] -3.246559573430335 ;\n", + "Epoch 150/1000, Cost: 4.8422\n", + " and the parameters are [-1.83404067 2.63035726] -3.2465912380501645 ;\n", + "Epoch 150/1000, Cost: 6.4407\n", + " and the parameters are [-1.83405553 2.63026652] -3.246719525514771 ;\n", + "Epoch 150/1000, Cost: 3.9860\n", + " and the parameters are [-1.83413719 2.63021469] -3.2467971934572697 ;\n", + "Epoch 150/1000, Cost: 4.5121\n", + " and the parameters are [-1.8341548 2.63035327] -3.246763585296215 ;\n", + "Epoch 150/1000, Cost: 6.0682\n", + " and the parameters are [-1.83415505 2.63043655] -3.246767422383474 ;\n", + "Epoch 150/1000, Cost: 2.3868\n", + " and the parameters are [-1.83414277 2.63054025] -3.246772819268148 ;\n", + "Epoch 150/1000, Cost: 3.8368\n", + " and the parameters are [-1.83415411 2.63061263] -3.246786945430241 ;\n", + "Epoch 150/1000, Cost: 3.8921\n", + " and the parameters are [-1.83422787 2.63058259] -3.24684477670218 ;\n", + "Epoch 150/1000, Cost: 6.6019\n", + " and the parameters are [-1.83419197 2.63061586] -3.2468812589115736 ;\n", + "Epoch 150/1000, Cost: 3.9321\n", + " and the parameters are [-1.8341721 2.63060465] -3.246993882335713 ;\n", + "Epoch 150/1000, Cost: 5.7123\n", + " and the parameters are [-1.83430433 2.63055723] -3.2470090480521643 ;\n", + "Epoch 150/1000, Cost: 3.4471\n", + " and the parameters are [-1.83430891 2.63062281] -3.247052641452425 ;\n", + "Epoch 150/1000, Cost: 7.0563\n", + " and the parameters are [-1.83440678 2.630538 ] -3.24714151347913 ;\n", + "Epoch 150/1000, Cost: 3.1469\n", + " and the parameters are [-1.83439532 2.63061396] -3.2471726901377753 ;\n", + "Epoch 150/1000, Cost: 5.6233\n", + " and the parameters are [-1.83447232 2.63047937] -3.2472850826436894 ;\n", + "Epoch 150/1000, Cost: 4.3589\n", + " and the parameters are [-1.83441069 2.63063121] -3.2472782692960855 ;\n", + "Epoch 160/1000, Cost: 3.8406\n", + " and the parameters are [-1.87583997 2.67989177] -3.3208412446735127 ;\n", + "Epoch 160/1000, Cost: 2.4605\n", + " and the parameters are [-1.8758819 2.67995693] -3.3208425554259215 ;\n", + "Epoch 160/1000, Cost: 3.6771\n", + " and the parameters are [-1.87586331 2.67999952] -3.3208838619109273 ;\n", + "Epoch 160/1000, Cost: 4.1884\n", + " and the parameters are [-1.87584533 2.68005771] -3.320941366236607 ;\n", + "Epoch 160/1000, Cost: 3.7075\n", + " and the parameters are [-1.87587341 2.68012165] -3.320947608362042 ;\n", + "Epoch 160/1000, Cost: 7.0452\n", + " and the parameters are [-1.87591267 2.680278 ] -3.320866428673257 ;\n", + "Epoch 160/1000, Cost: 2.9911\n", + " and the parameters are [-1.8758994 2.68028864] -3.3209441608323984 ;\n", + "Epoch 160/1000, Cost: 3.7467\n", + " and the parameters are [-1.87589579 2.68038012] -3.3209315340195644 ;\n", + "Epoch 160/1000, Cost: 6.0224\n", + " and the parameters are [-1.87597348 2.68030572] -3.321024853925549 ;\n", + "Epoch 160/1000, Cost: 3.1584\n", + " and the parameters are [-1.87590685 2.68038658] -3.3210735602466914 ;\n", + "Epoch 160/1000, Cost: 5.0974\n", + " and the parameters are [-1.87594384 2.68037702] -3.321124528637277 ;\n", + "Epoch 160/1000, Cost: 3.7950\n", + " and the parameters are [-1.87600401 2.68049878] -3.3210786749037187 ;\n", + "Epoch 160/1000, Cost: 4.4497\n", + " and the parameters are [-1.87613081 2.68042592] -3.3211462608914197 ;\n", + "Epoch 160/1000, Cost: 4.1466\n", + " and the parameters are [-1.87616728 2.68045281] -3.3211837281221332 ;\n", + "Epoch 160/1000, Cost: 5.0571\n", + " and the parameters are [-1.87625973 2.68042667] -3.321213153267377 ;\n", + "Epoch 160/1000, Cost: 7.8116\n", + " and the parameters are [-1.8762525 2.68021963] -3.321419651679969 ;\n", + "Epoch 160/1000, Cost: 3.9574\n", + " and the parameters are [-1.8762824 2.68023749] -3.321478723077037 ;\n", + "Epoch 160/1000, Cost: 4.8616\n", + " and the parameters are [-1.87629355 2.6802839 ] -3.3215022677288966 ;\n", + "Epoch 160/1000, Cost: 4.4975\n", + " and the parameters are [-1.87629322 2.68034854] -3.321510896754764 ;\n", + "Epoch 160/1000, Cost: 2.7903\n", + " and the parameters are [-1.87628521 2.68046941] -3.321497625861063 ;\n", + "Epoch 160/1000, Cost: 6.0150\n", + " and the parameters are [-1.87633894 2.6804862 ] -3.3214899159407203 ;\n", + "Epoch 160/1000, Cost: 4.4834\n", + " and the parameters are [-1.87632488 2.68065954] -3.3214353101216587 ;\n", + "Epoch 160/1000, Cost: 2.5434\n", + " and the parameters are [-1.87630169 2.68072194] -3.3214787669535624 ;\n", + "Epoch 160/1000, Cost: 4.6628\n", + " and the parameters are [-1.87639757 2.68076121] -3.3214851565242993 ;\n", + "Epoch 160/1000, Cost: 4.7141\n", + " and the parameters are [-1.87645965 2.68076683] -3.321534885148769 ;\n", + "Epoch 160/1000, Cost: 4.2411\n", + " and the parameters are [-1.87649187 2.68084937] -3.321541898250896 ;\n", + "Epoch 160/1000, Cost: 2.9457\n", + " and the parameters are [-1.87650972 2.68097387] -3.3215057225526032 ;\n", + "Epoch 160/1000, Cost: 3.6651\n", + " and the parameters are [-1.87648495 2.6811037 ] -3.321493980013464 ;\n", + "Epoch 160/1000, Cost: 7.4240\n", + " and the parameters are [-1.87656535 2.68100162] -3.3215926621041323 ;\n", + "Epoch 160/1000, Cost: 4.8887\n", + " and the parameters are [-1.87666289 2.68094417] -3.3216568676892875 ;\n", + "Epoch 160/1000, Cost: 4.4995\n", + " and the parameters are [-1.87669693 2.68094295] -3.321732834102587 ;\n", + "Epoch 160/1000, Cost: 3.8766\n", + " and the parameters are [-1.87679744 2.68086316] -3.321807471529916 ;\n", + "Epoch 160/1000, Cost: 5.9459\n", + " and the parameters are [-1.87676222 2.68093996] -3.321787283061722 ;\n", + "Epoch 160/1000, Cost: 4.3017\n", + " and the parameters are [-1.87677734 2.68089087] -3.321893074938038 ;\n", + "Epoch 160/1000, Cost: 3.9723\n", + " and the parameters are [-1.87681352 2.68095299] -3.3219037114746266 ;\n", + "Epoch 160/1000, Cost: 4.0884\n", + " and the parameters are [-1.87682077 2.68094938] -3.3219793703026594 ;\n", + "Epoch 160/1000, Cost: 3.5439\n", + " and the parameters are [-1.87681038 2.68113043] -3.3219231046166255 ;\n", + "Epoch 160/1000, Cost: 3.3411\n", + " and the parameters are [-1.87683358 2.68119754] -3.321937705348188 ;\n", + "Epoch 160/1000, Cost: 4.0218\n", + " and the parameters are [-1.87679082 2.68138905] -3.3218919883470814 ;\n", + "Epoch 160/1000, Cost: 4.8616\n", + " and the parameters are [-1.87684131 2.68145607] -3.3218717920707737 ;\n", + "Epoch 160/1000, Cost: 2.6079\n", + " and the parameters are [-1.87685923 2.68152674] -3.3218779846805178 ;\n", + "Epoch 160/1000, Cost: 3.8891\n", + " and the parameters are [-1.87681881 2.68163223] -3.321899193155856 ;\n", + "Epoch 160/1000, Cost: 3.1997\n", + " and the parameters are [-1.87684804 2.68165952] -3.321941946622299 ;\n", + "Epoch 160/1000, Cost: 4.2706\n", + " and the parameters are [-1.87688607 2.68157336] -3.3220664641186963 ;\n", + "Epoch 160/1000, Cost: 8.0698\n", + " and the parameters are [-1.87681486 2.68159752] -3.3221201631356254 ;\n", + "Epoch 160/1000, Cost: 2.6583\n", + " and the parameters are [-1.87684021 2.68164139] -3.3221504538089697 ;\n", + "Epoch 160/1000, Cost: 7.1610\n", + " and the parameters are [-1.87685619 2.68157498] -3.322238378961923 ;\n", + "Epoch 160/1000, Cost: 4.5196\n", + " and the parameters are [-1.87687634 2.68163336] -3.3222613445199785 ;\n", + "Epoch 160/1000, Cost: 5.1270\n", + " and the parameters are [-1.87682311 2.6816303 ] -3.3223431486933377 ;\n", + "Epoch 160/1000, Cost: 6.8274\n", + " and the parameters are [-1.87696794 2.68148539] -3.3224202815683936 ;\n", + "Epoch 160/1000, Cost: 3.5493\n", + " and the parameters are [-1.87693565 2.6815645 ] -3.322460347828984 ;\n", + "Epoch 160/1000, Cost: 6.9515\n", + " and the parameters are [-1.87704327 2.68160551] -3.3224502058395515 ;\n", + "Epoch 160/1000, Cost: 5.4139\n", + " and the parameters are [-1.87720468 2.68156429] -3.3224717882029133 ;\n", + "Epoch 160/1000, Cost: 3.0352\n", + " and the parameters are [-1.87716536 2.68169521] -3.3224646088313654 ;\n", + "Epoch 160/1000, Cost: 4.5982\n", + " and the parameters are [-1.87724473 2.68163818] -3.3225310633963185 ;\n", + "Epoch 160/1000, Cost: 4.1014\n", + " and the parameters are [-1.87720042 2.68159801] -3.322653073011719 ;\n", + "Epoch 160/1000, Cost: 6.7981\n", + " and the parameters are [-1.87710092 2.68176782] -3.322626005511421 ;\n", + "Epoch 160/1000, Cost: 3.7741\n", + " and the parameters are [-1.87710675 2.68194187] -3.322564845134959 ;\n", + "Epoch 160/1000, Cost: 5.2277\n", + " and the parameters are [-1.87709837 2.68204002] -3.322582220872068 ;\n", + "Epoch 160/1000, Cost: 5.1010\n", + " and the parameters are [-1.87714981 2.68198207] -3.3226849980952617 ;\n", + "Epoch 160/1000, Cost: 5.8503\n", + " and the parameters are [-1.87725687 2.68187677] -3.3227765018451203 ;\n", + "Epoch 160/1000, Cost: 2.9461\n", + " and the parameters are [-1.87728136 2.68195038] -3.322788360211197 ;\n", + "Epoch 160/1000, Cost: 6.0739\n", + " and the parameters are [-1.87731251 2.6821482 ] -3.322660679042149 ;\n", + "Epoch 160/1000, Cost: 3.5446\n", + " and the parameters are [-1.87731159 2.68226118] -3.322661785189779 ;\n", + "Epoch 160/1000, Cost: 5.0377\n", + " and the parameters are [-1.87728233 2.6822687 ] -3.322737467283526 ;\n", + "Epoch 160/1000, Cost: 4.7378\n", + " and the parameters are [-1.87731035 2.68224281] -3.322808160897792 ;\n", + "Epoch 160/1000, Cost: 5.2201\n", + " and the parameters are [-1.8773817 2.68227233] -3.3228243212125794 ;\n", + "Epoch 160/1000, Cost: 8.4473\n", + " and the parameters are [-1.87745643 2.68205371] -3.3230101020576495 ;\n", + "Epoch 160/1000, Cost: 4.2989\n", + " and the parameters are [-1.87754194 2.68194676] -3.3231230902361713 ;\n", + "Epoch 160/1000, Cost: 4.9366\n", + " and the parameters are [-1.87757319 2.68197514] -3.323158552871758 ;\n", + "Epoch 160/1000, Cost: 8.1454\n", + " and the parameters are [-1.87771393 2.6819841 ] -3.3231276910749754 ;\n", + "Epoch 160/1000, Cost: 3.6917\n", + " and the parameters are [-1.87771357 2.68205987] -3.3231481077372176 ;\n", + "Epoch 160/1000, Cost: 4.8692\n", + " and the parameters are [-1.87767727 2.68214573] -3.3231484054884057 ;\n", + "Epoch 160/1000, Cost: 6.1134\n", + " and the parameters are [-1.87776165 2.68221896] -3.3231293589312347 ;\n", + "Epoch 160/1000, Cost: 4.7106\n", + " and the parameters are [-1.87790058 2.68211905] -3.3231872268701736 ;\n", + "Epoch 160/1000, Cost: 4.3061\n", + " and the parameters are [-1.87796989 2.68214789] -3.3232043731787493 ;\n", + "Epoch 160/1000, Cost: 2.9371\n", + " and the parameters are [-1.87793515 2.68223274] -3.3232362156801822 ;\n", + "Epoch 160/1000, Cost: 6.2012\n", + " and the parameters are [-1.87794846 2.6821409 ] -3.32335683632212 ;\n", + "Epoch 160/1000, Cost: 3.7581\n", + " and the parameters are [-1.8780142 2.68205982] -3.3234797595921233 ;\n", + "Epoch 160/1000, Cost: 3.3766\n", + " and the parameters are [-1.87806871 2.68210967] -3.323464306076839 ;\n", + "Epoch 160/1000, Cost: 4.4843\n", + " and the parameters are [-1.87809555 2.68217498] -3.3234995673935157 ;\n", + "Epoch 160/1000, Cost: 4.6194\n", + " and the parameters are [-1.87804064 2.68224011] -3.3235630204417266 ;\n", + "Epoch 160/1000, Cost: 4.8137\n", + " and the parameters are [-1.87804904 2.68222612] -3.3236510370512056 ;\n", + "Epoch 160/1000, Cost: 4.3747\n", + " and the parameters are [-1.87810481 2.6821278 ] -3.3237737297712266 ;\n", + "Epoch 160/1000, Cost: 2.9226\n", + " and the parameters are [-1.87809886 2.68220777] -3.323786439697613 ;\n", + "Epoch 160/1000, Cost: 5.4776\n", + " and the parameters are [-1.87820558 2.68202441] -3.323956095291764 ;\n", + "Epoch 160/1000, Cost: 2.9642\n", + " and the parameters are [-1.87828057 2.68212212] -3.323913330883998 ;\n", + "Epoch 160/1000, Cost: 4.1904\n", + " and the parameters are [-1.87833282 2.68215865] -3.3239257888155618 ;\n", + "Epoch 160/1000, Cost: 4.3315\n", + " and the parameters are [-1.87837162 2.68209631] -3.3240278867404847 ;\n", + "Epoch 160/1000, Cost: 6.1939\n", + " and the parameters are [-1.878323 2.68209276] -3.3241329350266255 ;\n", + "Epoch 160/1000, Cost: 5.0033\n", + " and the parameters are [-1.8783241 2.68224162] -3.32410171991182 ;\n", + "Epoch 160/1000, Cost: 4.1291\n", + " and the parameters are [-1.8782773 2.68232244] -3.324152556790141 ;\n", + "Epoch 160/1000, Cost: 5.2247\n", + " and the parameters are [-1.87829108 2.68238754] -3.3241817094460235 ;\n", + "Epoch 160/1000, Cost: 4.6899\n", + " and the parameters are [-1.87833348 2.68233228] -3.324281122051179 ;\n", + "Epoch 160/1000, Cost: 5.6409\n", + " and the parameters are [-1.87835548 2.68223051] -3.324437467046114 ;\n", + "Epoch 160/1000, Cost: 3.4213\n", + " and the parameters are [-1.87833885 2.68232132] -3.324451125585065 ;\n", + "Epoch 160/1000, Cost: 4.8357\n", + " and the parameters are [-1.87839888 2.68242192] -3.324414210775657 ;\n", + "Epoch 160/1000, Cost: 5.5134\n", + " and the parameters are [-1.87840881 2.68234077] -3.3245663134640315 ;\n", + "Epoch 160/1000, Cost: 4.2177\n", + " and the parameters are [-1.87843422 2.68243796] -3.324574308398144 ;\n", + "Epoch 160/1000, Cost: 4.6029\n", + " and the parameters are [-1.87847352 2.68248683] -3.3245961280459104 ;\n", + "Epoch 160/1000, Cost: 2.8928\n", + " and the parameters are [-1.87849409 2.68255541] -3.3245954630619248 ;\n", + "Epoch 160/1000, Cost: 4.9921\n", + " and the parameters are [-1.87847235 2.68260534] -3.324616043481645 ;\n", + "Epoch 160/1000, Cost: 4.6491\n", + " and the parameters are [-1.87850713 2.6825798 ] -3.324688268932277 ;\n", + "Epoch 160/1000, Cost: 1.9690\n", + " and the parameters are [-1.87853426 2.68265846] -3.324681147343638 ;\n", + "Epoch 160/1000, Cost: 10.0357\n", + " and the parameters are [-1.8784259 2.68252377] -3.324849181782301 ;\n", + "Epoch 160/1000, Cost: 2.5847\n", + " and the parameters are [-1.878391 2.68259192] -3.3248928272884637 ;\n", + "Epoch 160/1000, Cost: 5.1408\n", + " and the parameters are [-1.87840888 2.6825771 ] -3.3249778307705093 ;\n", + "Epoch 160/1000, Cost: 6.4957\n", + " and the parameters are [-1.87856847 2.6824353 ] -3.32506718883109 ;\n", + "Epoch 160/1000, Cost: 6.4708\n", + " and the parameters are [-1.87856434 2.68258063] -3.325019119833573 ;\n", + "Epoch 160/1000, Cost: 4.0522\n", + " and the parameters are [-1.87857315 2.68268809] -3.3250102557746315 ;\n", + "Epoch 160/1000, Cost: 5.3277\n", + " and the parameters are [-1.87871314 2.68260203] -3.325075039747305 ;\n", + "Epoch 160/1000, Cost: 5.4183\n", + " and the parameters are [-1.87871341 2.68264174] -3.325121589983103 ;\n", + "Epoch 160/1000, Cost: 5.7661\n", + " and the parameters are [-1.87880627 2.68261628] -3.325166029666808 ;\n", + "Epoch 160/1000, Cost: 5.6657\n", + " and the parameters are [-1.87882372 2.68259126] -3.3252100514322285 ;\n", + "Epoch 160/1000, Cost: 4.6818\n", + " and the parameters are [-1.87877557 2.68275427] -3.3252089784571592 ;\n", + "Epoch 160/1000, Cost: 2.7364\n", + " and the parameters are [-1.8787264 2.68281549] -3.3252755580791042 ;\n", + "Epoch 160/1000, Cost: 3.6073\n", + " and the parameters are [-1.87872374 2.68285116] -3.325323824818445 ;\n", + "Epoch 160/1000, Cost: 5.3962\n", + " and the parameters are [-1.87873629 2.6828853 ] -3.3253840177785805 ;\n", + "Epoch 160/1000, Cost: 5.3665\n", + " and the parameters are [-1.87863226 2.68300159] -3.325407755651985 ;\n", + "Epoch 160/1000, Cost: 2.6446\n", + " and the parameters are [-1.87861817 2.6831066 ] -3.325416213232048 ;\n", + "Epoch 160/1000, Cost: 4.9616\n", + " and the parameters are [-1.87863794 2.68302699] -3.3255508546190016 ;\n", + "Epoch 160/1000, Cost: 7.3388\n", + " and the parameters are [-1.87873205 2.68294534] -3.325623016665356 ;\n", + "Epoch 160/1000, Cost: 4.4027\n", + " and the parameters are [-1.87879326 2.68298844] -3.3256289054742387 ;\n", + "Epoch 160/1000, Cost: 1.6908\n", + " and the parameters are [-1.87882079 2.68302756] -3.3256442814165292 ;\n", + "Epoch 160/1000, Cost: 6.7122\n", + " and the parameters are [-1.87877467 2.68297317] -3.325744618761768 ;\n", + "Epoch 160/1000, Cost: 6.8574\n", + " and the parameters are [-1.8787306 2.68299458] -3.325789240756996 ;\n", + "Epoch 160/1000, Cost: 5.0072\n", + " and the parameters are [-1.87874153 2.68296268] -3.3258805878410564 ;\n", + "Epoch 160/1000, Cost: 3.6626\n", + " and the parameters are [-1.87877782 2.68291194] -3.3259800596125717 ;\n", + "Epoch 160/1000, Cost: 5.2708\n", + " and the parameters are [-1.87885185 2.68280352] -3.326096029641202 ;\n", + "Epoch 160/1000, Cost: 2.5658\n", + " and the parameters are [-1.8789339 2.68284729] -3.3260914265785115 ;\n", + "Epoch 160/1000, Cost: 3.4071\n", + " and the parameters are [-1.87900854 2.68279225] -3.326161981654714 ;\n", + "Epoch 160/1000, Cost: 4.4360\n", + " and the parameters are [-1.87895403 2.68281987] -3.326251211500953 ;\n", + "Epoch 160/1000, Cost: 4.2550\n", + " and the parameters are [-1.878996 2.68278931] -3.326331363570713 ;\n", + "Epoch 160/1000, Cost: 6.2393\n", + " and the parameters are [-1.87905055 2.68276315] -3.3263921155896066 ;\n", + "Epoch 160/1000, Cost: 4.5756\n", + " and the parameters are [-1.87904049 2.68298027] -3.3263018856796926 ;\n", + "Epoch 160/1000, Cost: 6.6425\n", + " and the parameters are [-1.87908589 2.68287 ] -3.326431081652711 ;\n", + "Epoch 160/1000, Cost: 4.0642\n", + " and the parameters are [-1.87902458 2.68288176] -3.3265342981037302 ;\n", + "Epoch 160/1000, Cost: 4.1874\n", + " and the parameters are [-1.87901594 2.68290475] -3.3265893541761042 ;\n", + "Epoch 160/1000, Cost: 3.4110\n", + " and the parameters are [-1.87897448 2.68302999] -3.3265975815085125 ;\n", + "Epoch 160/1000, Cost: 5.9189\n", + " and the parameters are [-1.87908417 2.68298875] -3.326632297484474 ;\n", + "Epoch 160/1000, Cost: 3.2467\n", + " and the parameters are [-1.87909699 2.68303046] -3.3266701209669414 ;\n", + "Epoch 160/1000, Cost: 5.6550\n", + " and the parameters are [-1.87913969 2.6830299 ] -3.3267356737096354 ;\n", + "Epoch 160/1000, Cost: 7.3684\n", + " and the parameters are [-1.87908561 2.68305032] -3.32683245077225 ;\n", + "Epoch 160/1000, Cost: 3.3424\n", + " and the parameters are [-1.8791084 2.68308426] -3.326871365464127 ;\n", + "Epoch 160/1000, Cost: 3.5141\n", + " and the parameters are [-1.87914561 2.68311384] -3.3269175909739244 ;\n", + "Epoch 160/1000, Cost: 6.1865\n", + " and the parameters are [-1.87917474 2.68314455] -3.3269762829504868 ;\n", + "Epoch 160/1000, Cost: 6.5507\n", + " and the parameters are [-1.87911289 2.6831263 ] -3.327097385353161 ;\n", + "Epoch 160/1000, Cost: 6.8625\n", + " and the parameters are [-1.87919148 2.6830432 ] -3.3271478971082273 ;\n", + "Epoch 160/1000, Cost: 3.6262\n", + " and the parameters are [-1.87923267 2.68318891] -3.327089677245199 ;\n", + "Epoch 160/1000, Cost: 4.5078\n", + " and the parameters are [-1.87929682 2.68321995] -3.3270954039546976 ;\n", + "Epoch 160/1000, Cost: 4.4466\n", + " and the parameters are [-1.87936132 2.68313924] -3.327190473616178 ;\n", + "Epoch 160/1000, Cost: 6.1343\n", + " and the parameters are [-1.87932931 2.68329009] -3.3271690507008254 ;\n", + "Epoch 160/1000, Cost: 5.2964\n", + " and the parameters are [-1.87935206 2.68335139] -3.327185953329144 ;\n", + "Epoch 160/1000, Cost: 3.8628\n", + " and the parameters are [-1.87937598 2.68341957] -3.32717618025312 ;\n", + "Epoch 160/1000, Cost: 3.9401\n", + " and the parameters are [-1.87935137 2.68335375] -3.3273045416359643 ;\n", + "Epoch 160/1000, Cost: 3.0431\n", + " and the parameters are [-1.87936849 2.68346884] -3.327294665071098 ;\n", + "Epoch 160/1000, Cost: 5.3378\n", + " and the parameters are [-1.87943276 2.68335355] -3.3274093338287414 ;\n", + "Epoch 160/1000, Cost: 4.6187\n", + " and the parameters are [-1.87943197 2.68333372] -3.327473685741727 ;\n", + "Epoch 160/1000, Cost: 4.8760\n", + " and the parameters are [-1.87943413 2.68342386] -3.327474802721721 ;\n", + "Epoch 160/1000, Cost: 5.8486\n", + " and the parameters are [-1.87942692 2.68347339] -3.3275241766228376 ;\n", + "Epoch 160/1000, Cost: 4.4615\n", + " and the parameters are [-1.8794628 2.68350192] -3.3275726033909168 ;\n", + "Epoch 160/1000, Cost: 3.8690\n", + " and the parameters are [-1.87957855 2.683379 ] -3.3276757320357997 ;\n", + "Epoch 160/1000, Cost: 3.7620\n", + " and the parameters are [-1.87963857 2.68350302] -3.327632008071674 ;\n", + "Epoch 160/1000, Cost: 5.2986\n", + " and the parameters are [-1.87972312 2.68352638] -3.327647441649161 ;\n", + "Epoch 160/1000, Cost: 4.5308\n", + " and the parameters are [-1.87971504 2.68350988] -3.3277244994885145 ;\n", + "Epoch 160/1000, Cost: 2.5281\n", + " and the parameters are [-1.87974259 2.68356812] -3.3277438241368626 ;\n", + "Epoch 160/1000, Cost: 4.2026\n", + " and the parameters are [-1.87975035 2.68367113] -3.3277240597549387 ;\n", + "Epoch 160/1000, Cost: 6.5404\n", + " and the parameters are [-1.87980906 2.68361355] -3.3278121083881835 ;\n", + "Epoch 160/1000, Cost: 6.0992\n", + " and the parameters are [-1.8798198 2.68357184] -3.3279244159739294 ;\n", + "Epoch 160/1000, Cost: 4.2392\n", + " and the parameters are [-1.87984359 2.68368217] -3.3278947443989715 ;\n", + "Epoch 160/1000, Cost: 3.9534\n", + " and the parameters are [-1.87986924 2.68366726] -3.3279663191140822 ;\n", + "Epoch 160/1000, Cost: 3.9518\n", + " and the parameters are [-1.87986296 2.68376342] -3.3279810222708397 ;\n", + "Epoch 160/1000, Cost: 5.8868\n", + " and the parameters are [-1.87994613 2.68361598] -3.328127367764839 ;\n", + "Epoch 160/1000, Cost: 7.5678\n", + " and the parameters are [-1.87991997 2.68370341] -3.328110602920636 ;\n", + "Epoch 160/1000, Cost: 6.8407\n", + " and the parameters are [-1.8800033 2.68371938] -3.328113584856148 ;\n", + "Epoch 160/1000, Cost: 4.2489\n", + " and the parameters are [-1.87998987 2.68369829] -3.3282230678433105 ;\n", + "Epoch 160/1000, Cost: 8.2363\n", + " and the parameters are [-1.88005325 2.68368671] -3.3282700541810604 ;\n", + "Epoch 160/1000, Cost: 4.9700\n", + " and the parameters are [-1.87999928 2.68381308] -3.328277408251198 ;\n", + "Epoch 160/1000, Cost: 4.6201\n", + " and the parameters are [-1.88008865 2.68380976] -3.3283228166803744 ;\n", + "Epoch 160/1000, Cost: 2.9049\n", + " and the parameters are [-1.88012516 2.68390224] -3.3283178366692483 ;\n", + "Epoch 160/1000, Cost: 2.7099\n", + " and the parameters are [-1.8800808 2.68406536] -3.3282896576261183 ;\n", + "Epoch 160/1000, Cost: 3.1866\n", + " and the parameters are [-1.88021496 2.68401285] -3.3283351358599185 ;\n", + "Epoch 160/1000, Cost: 4.6992\n", + " and the parameters are [-1.88022568 2.68418735] -3.328287468140923 ;\n", + "Epoch 160/1000, Cost: 4.1856\n", + " and the parameters are [-1.88025219 2.68432176] -3.3282441180260522 ;\n", + "Epoch 160/1000, Cost: 4.2386\n", + " and the parameters are [-1.88029481 2.6843545 ] -3.328264284906239 ;\n", + "Epoch 160/1000, Cost: 6.7912\n", + " and the parameters are [-1.88039401 2.68429071] -3.3283388522969095 ;\n", + "Epoch 160/1000, Cost: 6.4590\n", + " and the parameters are [-1.88026519 2.68437213] -3.3283997338465268 ;\n", + "Epoch 160/1000, Cost: 2.5288\n", + " and the parameters are [-1.8802753 2.68441835] -3.328434406747308 ;\n", + "Epoch 160/1000, Cost: 5.7793\n", + " and the parameters are [-1.88025114 2.68441415] -3.3285237349430234 ;\n", + "Epoch 160/1000, Cost: 2.9506\n", + " and the parameters are [-1.88028902 2.68449262] -3.3285150525483997 ;\n", + "Epoch 160/1000, Cost: 4.5775\n", + " and the parameters are [-1.88023595 2.68469165] -3.3284767590282347 ;\n", + "Epoch 160/1000, Cost: 7.5874\n", + " and the parameters are [-1.88021061 2.68458662] -3.328626797660106 ;\n", + "Epoch 160/1000, Cost: 4.4099\n", + " and the parameters are [-1.88023562 2.68465537] -3.3286554642861907 ;\n", + "Epoch 160/1000, Cost: 3.6207\n", + " and the parameters are [-1.88026793 2.68473178] -3.3286599050878 ;\n", + "Epoch 160/1000, Cost: 3.6900\n", + " and the parameters are [-1.88027248 2.68490477] -3.3285983252640046 ;\n", + "Epoch 160/1000, Cost: 2.6390\n", + " and the parameters are [-1.88025438 2.68499789] -3.3286029634379295 ;\n", + "Epoch 160/1000, Cost: 3.5797\n", + " and the parameters are [-1.88028475 2.68515003] -3.3285455513987845 ;\n", + "Epoch 160/1000, Cost: 3.7211\n", + " and the parameters are [-1.88031169 2.68521232] -3.328568411638605 ;\n", + "Epoch 160/1000, Cost: 3.7054\n", + " and the parameters are [-1.88033088 2.68520115] -3.3286419565479526 ;\n", + "Epoch 160/1000, Cost: 3.1744\n", + " and the parameters are [-1.88027421 2.6852354 ] -3.3287212707080696 ;\n", + "Epoch 170/1000, Cost: 4.8299\n", + " and the parameters are [-1.91944725 2.73210032] -3.3982323504915306 ;\n", + "Epoch 170/1000, Cost: 4.3971\n", + " and the parameters are [-1.91951248 2.73206481] -3.398316310448321 ;\n", + "Epoch 170/1000, Cost: 2.6579\n", + " and the parameters are [-1.91955886 2.73215763] -3.398292779056975 ;\n", + "Epoch 170/1000, Cost: 5.7116\n", + " and the parameters are [-1.91961959 2.73211192] -3.398360130575407 ;\n", + "Epoch 170/1000, Cost: 3.7767\n", + " and the parameters are [-1.91957527 2.73216587] -3.3984176670865627 ;\n", + "Epoch 170/1000, Cost: 5.0930\n", + " and the parameters are [-1.91966822 2.73208788] -3.3985022943125576 ;\n", + "Epoch 170/1000, Cost: 4.8929\n", + " and the parameters are [-1.9196824 2.73201439] -3.3986323262509295 ;\n", + "Epoch 170/1000, Cost: 5.0849\n", + " and the parameters are [-1.91968546 2.73197264] -3.3987431207970324 ;\n", + "Epoch 170/1000, Cost: 2.7592\n", + " and the parameters are [-1.91971996 2.73203798] -3.3987454763343727 ;\n", + "Epoch 170/1000, Cost: 4.4306\n", + " and the parameters are [-1.91975699 2.73192953] -3.3988587468586764 ;\n", + "Epoch 170/1000, Cost: 2.6651\n", + " and the parameters are [-1.91972833 2.7320304 ] -3.398864584996495 ;\n", + "Epoch 170/1000, Cost: 5.5958\n", + " and the parameters are [-1.91980818 2.73197628] -3.3989366724773706 ;\n", + "Epoch 170/1000, Cost: 6.5672\n", + " and the parameters are [-1.91984647 2.73192769] -3.399010784953744 ;\n", + "Epoch 170/1000, Cost: 4.1539\n", + " and the parameters are [-1.91984377 2.73201934] -3.3990066012576365 ;\n", + "Epoch 170/1000, Cost: 4.6313\n", + " and the parameters are [-1.91994824 2.73193828] -3.3990838829763503 ;\n", + "Epoch 170/1000, Cost: 3.6277\n", + " and the parameters are [-1.92002783 2.73189318] -3.399149959751689 ;\n", + "Epoch 170/1000, Cost: 3.7265\n", + " and the parameters are [-1.92014376 2.73188352] -3.399172092171678 ;\n", + "Epoch 170/1000, Cost: 3.1306\n", + " and the parameters are [-1.92025721 2.73189088] -3.3991798299025717 ;\n", + "Epoch 170/1000, Cost: 6.1301\n", + " and the parameters are [-1.92011004 2.73208739] -3.3991795449764597 ;\n", + "Epoch 170/1000, Cost: 2.7017\n", + " and the parameters are [-1.92010518 2.73211155] -3.3992348928064433 ;\n", + "Epoch 170/1000, Cost: 3.0708\n", + " and the parameters are [-1.92011846 2.73217705] -3.399260493411869 ;\n", + "Epoch 170/1000, Cost: 3.6096\n", + " and the parameters are [-1.92008835 2.7322597 ] -3.3992814895895433 ;\n", + "Epoch 170/1000, Cost: 3.7674\n", + " and the parameters are [-1.92009569 2.73226711] -3.399353778929637 ;\n", + "Epoch 170/1000, Cost: 3.4305\n", + " and the parameters are [-1.92013382 2.73226469] -3.3994043923148647 ;\n", + "Epoch 170/1000, Cost: 5.6900\n", + " and the parameters are [-1.92021674 2.73216284] -3.3995279758062003 ;\n", + "Epoch 170/1000, Cost: 4.2266\n", + " and the parameters are [-1.92019534 2.73215935] -3.3995943275235816 ;\n", + "Epoch 170/1000, Cost: 2.1511\n", + " and the parameters are [-1.9201863 2.73224655] -3.3996028159197116 ;\n", + "Epoch 170/1000, Cost: 7.6254\n", + " and the parameters are [-1.92020556 2.73223938] -3.399628187712465 ;\n", + "Epoch 170/1000, Cost: 5.4372\n", + " and the parameters are [-1.92035333 2.73206849] -3.399749346356932 ;\n", + "Epoch 170/1000, Cost: 4.5806\n", + " and the parameters are [-1.92036576 2.73210801] -3.399792854569888 ;\n", + "Epoch 170/1000, Cost: 5.3530\n", + " and the parameters are [-1.92042956 2.73205904] -3.3998686346237843 ;\n", + "Epoch 170/1000, Cost: 2.8290\n", + " and the parameters are [-1.92044425 2.73214561] -3.3998568761516488 ;\n", + "Epoch 170/1000, Cost: 5.0213\n", + " and the parameters are [-1.92042112 2.73223629] -3.3998232240187463 ;\n", + "Epoch 170/1000, Cost: 3.9159\n", + " and the parameters are [-1.9204848 2.73228051] -3.3998291295053154 ;\n", + "Epoch 170/1000, Cost: 4.2800\n", + " and the parameters are [-1.92051103 2.73226604] -3.399867612198476 ;\n", + "Epoch 170/1000, Cost: 4.8431\n", + " and the parameters are [-1.92074536 2.7322156 ] -3.3998220819413802 ;\n", + "Epoch 170/1000, Cost: 3.5360\n", + " and the parameters are [-1.92081811 2.73225232] -3.3998281858072357 ;\n", + "Epoch 170/1000, Cost: 5.4384\n", + " and the parameters are [-1.92091776 2.73214943] -3.399940425238154 ;\n", + "Epoch 170/1000, Cost: 4.3691\n", + " and the parameters are [-1.92088529 2.73218774] -3.3999771833937893 ;\n", + "Epoch 170/1000, Cost: 5.6993\n", + " and the parameters are [-1.92096761 2.73214445] -3.400031026670275 ;\n", + "Epoch 170/1000, Cost: 4.4343\n", + " and the parameters are [-1.92100654 2.73220099] -3.400031835062803 ;\n", + "Epoch 170/1000, Cost: 3.1238\n", + " and the parameters are [-1.92109864 2.73221183] -3.4000406920872335 ;\n", + "Epoch 170/1000, Cost: 6.0001\n", + " and the parameters are [-1.92100279 2.73236175] -3.4000487470301644 ;\n", + "Epoch 170/1000, Cost: 5.1196\n", + " and the parameters are [-1.92103366 2.73237495] -3.400093338795222 ;\n", + "Epoch 170/1000, Cost: 2.6004\n", + " and the parameters are [-1.92098329 2.73249137] -3.4001078456931046 ;\n", + "Epoch 170/1000, Cost: 3.0093\n", + " and the parameters are [-1.92099592 2.73249623] -3.4001859951363973 ;\n", + "Epoch 170/1000, Cost: 4.7099\n", + " and the parameters are [-1.92107078 2.73243867] -3.4002278696970465 ;\n", + "Epoch 170/1000, Cost: 4.5171\n", + " and the parameters are [-1.92103844 2.73246804] -3.4002923266697214 ;\n", + "Epoch 170/1000, Cost: 3.7532\n", + " and the parameters are [-1.92112046 2.73246447] -3.400344360995736 ;\n", + "Epoch 170/1000, Cost: 4.2341\n", + " and the parameters are [-1.92115605 2.73238822] -3.4004460226410034 ;\n", + "Epoch 170/1000, Cost: 3.0181\n", + " and the parameters are [-1.92109633 2.73247745] -3.4004888256430075 ;\n", + "Epoch 170/1000, Cost: 3.7580\n", + " and the parameters are [-1.92105924 2.7325466 ] -3.40054802681234 ;\n", + "Epoch 170/1000, Cost: 3.2408\n", + " and the parameters are [-1.92106071 2.73266683] -3.4005346710775894 ;\n", + "Epoch 170/1000, Cost: 3.7015\n", + " and the parameters are [-1.92106302 2.73268968] -3.4005798379792576 ;\n", + "Epoch 170/1000, Cost: 4.9295\n", + " and the parameters are [-1.9210722 2.73262832] -3.4006656490658056 ;\n", + "Epoch 170/1000, Cost: 3.9439\n", + " and the parameters are [-1.92102872 2.73262439] -3.400755743204204 ;\n", + "Epoch 170/1000, Cost: 3.4842\n", + " and the parameters are [-1.92107106 2.73260661] -3.4008271239945294 ;\n", + "Epoch 170/1000, Cost: 4.4721\n", + " and the parameters are [-1.92111561 2.73252177] -3.4009287586392425 ;\n", + "Epoch 170/1000, Cost: 3.7995\n", + " and the parameters are [-1.92109273 2.7325019 ] -3.4009955570246535 ;\n", + "Epoch 170/1000, Cost: 3.7205\n", + " and the parameters are [-1.92110494 2.73252985] -3.401053526548105 ;\n", + "Epoch 170/1000, Cost: 2.8633\n", + " and the parameters are [-1.92112187 2.73253629] -3.4011114821823707 ;\n", + "Epoch 170/1000, Cost: 4.7855\n", + " and the parameters are [-1.9212244 2.7324859] -3.4011907276647775 ;\n", + "Epoch 170/1000, Cost: 6.1342\n", + " and the parameters are [-1.92119443 2.73267201] -3.401137724984837 ;\n", + "Epoch 170/1000, Cost: 8.0578\n", + " and the parameters are [-1.92122268 2.73268565] -3.4011943919363623 ;\n", + "Epoch 170/1000, Cost: 3.8004\n", + " and the parameters are [-1.92123771 2.73269458] -3.401242238729322 ;\n", + "Epoch 170/1000, Cost: 4.8427\n", + " and the parameters are [-1.92132513 2.73268236] -3.4012817861548954 ;\n", + "Epoch 170/1000, Cost: 2.7071\n", + " and the parameters are [-1.92136442 2.73269383] -3.401317758767225 ;\n", + "Epoch 170/1000, Cost: 2.9486\n", + " and the parameters are [-1.92140048 2.73282258] -3.4012662282643467 ;\n", + "Epoch 170/1000, Cost: 4.4615\n", + " and the parameters are [-1.92146093 2.73283459] -3.4012909953627184 ;\n", + "Epoch 170/1000, Cost: 7.8567\n", + " and the parameters are [-1.92141123 2.73290987] -3.4012943515498204 ;\n", + "Epoch 170/1000, Cost: 3.4882\n", + " and the parameters are [-1.92141372 2.73303384] -3.401281234731431 ;\n", + "Epoch 170/1000, Cost: 4.3757\n", + " and the parameters are [-1.92145983 2.73308519] -3.401295819773519 ;\n", + "Epoch 170/1000, Cost: 6.6694\n", + " and the parameters are [-1.92152505 2.73297418] -3.4014166304667044 ;\n", + "Epoch 170/1000, Cost: 4.1288\n", + " and the parameters are [-1.92149388 2.73302017] -3.401463104693224 ;\n", + "Epoch 170/1000, Cost: 2.9894\n", + " and the parameters are [-1.92148658 2.7329951 ] -3.4015467870301475 ;\n", + "Epoch 170/1000, Cost: 4.9314\n", + " and the parameters are [-1.92148933 2.73323728] -3.4014308576210777 ;\n", + "Epoch 170/1000, Cost: 5.1316\n", + " and the parameters are [-1.92147119 2.73331228] -3.401465532986997 ;\n", + "Epoch 170/1000, Cost: 5.9585\n", + " and the parameters are [-1.92148025 2.73329378] -3.4015178303680327 ;\n", + "Epoch 170/1000, Cost: 3.7802\n", + " and the parameters are [-1.92151413 2.73341007] -3.401492081409995 ;\n", + "Epoch 170/1000, Cost: 8.0067\n", + " and the parameters are [-1.92150675 2.73349374] -3.4014779191585904 ;\n", + "Epoch 170/1000, Cost: 3.5953\n", + " and the parameters are [-1.92155054 2.73353303] -3.4015056545895748 ;\n", + "Epoch 170/1000, Cost: 3.0824\n", + " and the parameters are [-1.92154006 2.73352614] -3.4015856050102093 ;\n", + "Epoch 170/1000, Cost: 7.6022\n", + " and the parameters are [-1.92158511 2.73361831] -3.4015397243624412 ;\n", + "Epoch 170/1000, Cost: 4.4082\n", + " and the parameters are [-1.92158405 2.73369654] -3.4015475780635436 ;\n", + "Epoch 170/1000, Cost: 5.5159\n", + " and the parameters are [-1.92160731 2.73364592] -3.4016595985509297 ;\n", + "Epoch 170/1000, Cost: 2.8076\n", + " and the parameters are [-1.92158442 2.73375168] -3.4016665086006377 ;\n", + "Epoch 170/1000, Cost: 7.0044\n", + " and the parameters are [-1.92159901 2.73361566] -3.401804919451185 ;\n", + "Epoch 170/1000, Cost: 3.1968\n", + " and the parameters are [-1.92156917 2.73371356] -3.4018263063183607 ;\n", + "Epoch 170/1000, Cost: 5.3533\n", + " and the parameters are [-1.92150922 2.73382209] -3.4018608471187344 ;\n", + "Epoch 170/1000, Cost: 6.3274\n", + " and the parameters are [-1.92154114 2.73378646] -3.4019471838602113 ;\n", + "Epoch 170/1000, Cost: 4.2343\n", + " and the parameters are [-1.92152052 2.73382092] -3.401976953874663 ;\n", + "Epoch 170/1000, Cost: 3.4235\n", + " and the parameters are [-1.92152021 2.73380322] -3.4020589048430834 ;\n", + "Epoch 170/1000, Cost: 4.4668\n", + " and the parameters are [-1.92154896 2.73385403] -3.4020762469281287 ;\n", + "Epoch 170/1000, Cost: 3.5253\n", + " and the parameters are [-1.92159801 2.7338081 ] -3.4021667312027684 ;\n", + "Epoch 170/1000, Cost: 4.2593\n", + " and the parameters are [-1.92166564 2.73380119] -3.402198256570651 ;\n", + "Epoch 170/1000, Cost: 6.9057\n", + " and the parameters are [-1.92164499 2.73383961] -3.4022145865409237 ;\n", + "Epoch 170/1000, Cost: 5.1102\n", + " and the parameters are [-1.9216694 2.73395745] -3.4021858997859424 ;\n", + "Epoch 170/1000, Cost: 3.6149\n", + " and the parameters are [-1.92165583 2.73406596] -3.4021903636686575 ;\n", + "Epoch 170/1000, Cost: 3.7684\n", + " and the parameters are [-1.92163466 2.73413199] -3.402226189481611 ;\n", + "Epoch 170/1000, Cost: 6.3551\n", + " and the parameters are [-1.92160191 2.7342022 ] -3.4022362985247336 ;\n", + "Epoch 170/1000, Cost: 6.1231\n", + " and the parameters are [-1.92164627 2.7342073 ] -3.402241748451146 ;\n", + "Epoch 170/1000, Cost: 3.4361\n", + " and the parameters are [-1.921668 2.73423928] -3.4022796743933332 ;\n", + "Epoch 170/1000, Cost: 4.9731\n", + " and the parameters are [-1.92163932 2.73435372] -3.4022764411037256 ;\n", + "Epoch 170/1000, Cost: 2.7337\n", + " and the parameters are [-1.92163421 2.73453022] -3.4022106735604787 ;\n", + "Epoch 170/1000, Cost: 2.7642\n", + " and the parameters are [-1.92165084 2.73463865] -3.402193364368107 ;\n", + "Epoch 170/1000, Cost: 5.6163\n", + " and the parameters are [-1.92163715 2.7345826 ] -3.4022947243417105 ;\n", + "Epoch 170/1000, Cost: 3.9735\n", + " and the parameters are [-1.92156574 2.73474762] -3.402285564785678 ;\n", + "Epoch 170/1000, Cost: 3.5012\n", + " and the parameters are [-1.9215735 2.73476754] -3.4023400822194887 ;\n", + "Epoch 170/1000, Cost: 7.6286\n", + " and the parameters are [-1.92157116 2.73479553] -3.4023904953530106 ;\n", + "Epoch 170/1000, Cost: 6.8152\n", + " and the parameters are [-1.92151942 2.73487805] -3.402410966816767 ;\n", + "Epoch 170/1000, Cost: 2.6970\n", + " and the parameters are [-1.92152036 2.73488628] -3.4024748519652377 ;\n", + "Epoch 170/1000, Cost: 3.9109\n", + " and the parameters are [-1.9215302 2.73492565] -3.402494384513749 ;\n", + "Epoch 170/1000, Cost: 7.2587\n", + " and the parameters are [-1.92169922 2.73466423] -3.4026407163576446 ;\n", + "Epoch 170/1000, Cost: 6.7842\n", + " and the parameters are [-1.92165148 2.73461306] -3.402771414713665 ;\n", + "Epoch 170/1000, Cost: 4.7487\n", + " and the parameters are [-1.92158993 2.73473969] -3.4027937662341388 ;\n", + "Epoch 170/1000, Cost: 7.3650\n", + " and the parameters are [-1.92164398 2.73459604] -3.402938500454015 ;\n", + "Epoch 170/1000, Cost: 3.8060\n", + " and the parameters are [-1.92167407 2.73463204] -3.4029660331351317 ;\n", + "Epoch 170/1000, Cost: 4.1103\n", + " and the parameters are [-1.92159849 2.73466387] -3.403055606709334 ;\n", + "Epoch 170/1000, Cost: 4.0720\n", + " and the parameters are [-1.92168084 2.73456583] -3.40316429688199 ;\n", + "Epoch 170/1000, Cost: 5.5173\n", + " and the parameters are [-1.92166461 2.7346863 ] -3.4031371723227717 ;\n", + "Epoch 170/1000, Cost: 4.9807\n", + " and the parameters are [-1.92171363 2.73463457] -3.4032326511042252 ;\n", + "Epoch 170/1000, Cost: 4.0741\n", + " and the parameters are [-1.92164813 2.73474997] -3.403243056262237 ;\n", + "Epoch 170/1000, Cost: 3.8081\n", + " and the parameters are [-1.92164 2.7347445] -3.40330604569888 ;\n", + "Epoch 170/1000, Cost: 2.7149\n", + " and the parameters are [-1.92166544 2.73478044] -3.4033365086942333 ;\n", + "Epoch 170/1000, Cost: 3.9651\n", + " and the parameters are [-1.92164343 2.73494625] -3.4032979686414566 ;\n", + "Epoch 170/1000, Cost: 7.1268\n", + " and the parameters are [-1.92178856 2.73481753] -3.403383781962916 ;\n", + "Epoch 170/1000, Cost: 3.4568\n", + " and the parameters are [-1.92185162 2.73490559] -3.403342124823768 ;\n", + "Epoch 170/1000, Cost: 5.3621\n", + " and the parameters are [-1.92196519 2.73482465] -3.4034173482989103 ;\n", + "Epoch 170/1000, Cost: 5.7964\n", + " and the parameters are [-1.9218775 2.7347998] -3.403559145426102 ;\n", + "Epoch 170/1000, Cost: 2.8003\n", + " and the parameters are [-1.92183068 2.73498553] -3.403517709200912 ;\n", + "Epoch 170/1000, Cost: 4.4415\n", + " and the parameters are [-1.92183541 2.7349405 ] -3.4036109266376893 ;\n", + "Epoch 170/1000, Cost: 4.6308\n", + " and the parameters are [-1.92183774 2.73495899] -3.403664126811923 ;\n", + "Epoch 170/1000, Cost: 4.0057\n", + " and the parameters are [-1.92187831 2.73492981] -3.403739889703955 ;\n", + "Epoch 170/1000, Cost: 6.8425\n", + " and the parameters are [-1.92186565 2.73500508] -3.4037550466581927 ;\n", + "Epoch 170/1000, Cost: 3.7859\n", + " and the parameters are [-1.92193143 2.73496193] -3.403841578752123 ;\n", + "Epoch 170/1000, Cost: 5.5083\n", + " and the parameters are [-1.92191229 2.73509309] -3.4038274567892595 ;\n", + "Epoch 170/1000, Cost: 2.7006\n", + " and the parameters are [-1.92193237 2.7351115 ] -3.403879565208388 ;\n", + "Epoch 170/1000, Cost: 4.9797\n", + " and the parameters are [-1.92195445 2.73515379] -3.403912272969213 ;\n", + "Epoch 170/1000, Cost: 5.6079\n", + " and the parameters are [-1.92197548 2.73525124] -3.4039049155857346 ;\n", + "Epoch 170/1000, Cost: 5.8941\n", + " and the parameters are [-1.92202785 2.73521029] -3.4039594516001297 ;\n", + "Epoch 170/1000, Cost: 3.7920\n", + " and the parameters are [-1.92199421 2.73534938] -3.4039499950948513 ;\n", + "Epoch 170/1000, Cost: 4.3941\n", + " and the parameters are [-1.92204841 2.73538146] -3.4039480642480484 ;\n", + "Epoch 170/1000, Cost: 5.8362\n", + " and the parameters are [-1.92214672 2.73539268] -3.4039652048243916 ;\n", + "Epoch 170/1000, Cost: 3.3974\n", + " and the parameters are [-1.92216683 2.73537786] -3.4040394470857605 ;\n", + "Epoch 170/1000, Cost: 3.0688\n", + " and the parameters are [-1.92223034 2.73534574] -3.4041072725144725 ;\n", + "Epoch 170/1000, Cost: 3.0485\n", + " and the parameters are [-1.9222497 2.73538118] -3.404138576185438 ;\n", + "Epoch 170/1000, Cost: 4.6459\n", + " and the parameters are [-1.92229853 2.73543085] -3.404158397722197 ;\n", + "Epoch 170/1000, Cost: 3.0207\n", + " and the parameters are [-1.9222744 2.73550349] -3.4041852269506294 ;\n", + "Epoch 170/1000, Cost: 6.1021\n", + " and the parameters are [-1.92231944 2.73550942] -3.40420901364783 ;\n", + "Epoch 170/1000, Cost: 3.5994\n", + " and the parameters are [-1.92229538 2.73559861] -3.404215737147524 ;\n", + "Epoch 170/1000, Cost: 4.2679\n", + " and the parameters are [-1.92223907 2.735634 ] -3.40429589795927 ;\n", + "Epoch 170/1000, Cost: 2.6192\n", + " and the parameters are [-1.92227143 2.73566575] -3.4043243192231545 ;\n", + "Epoch 170/1000, Cost: 6.5770\n", + " and the parameters are [-1.92238933 2.7354959 ] -3.4044624645548285 ;\n", + "Epoch 170/1000, Cost: 2.6642\n", + " and the parameters are [-1.92243107 2.73561082] -3.404413377573078 ;\n", + "Epoch 170/1000, Cost: 4.7661\n", + " and the parameters are [-1.92248915 2.73573125] -3.4043399791236943 ;\n", + "Epoch 170/1000, Cost: 5.7318\n", + " and the parameters are [-1.92253583 2.73564071] -3.404415186404009 ;\n", + "Epoch 170/1000, Cost: 4.6197\n", + " and the parameters are [-1.92252791 2.73561208] -3.4045197117906367 ;\n", + "Epoch 170/1000, Cost: 4.3431\n", + " and the parameters are [-1.92256524 2.73569045] -3.404518729991163 ;\n", + "Epoch 170/1000, Cost: 7.7000\n", + " and the parameters are [-1.92256408 2.7357458 ] -3.404538754901859 ;\n", + "Epoch 170/1000, Cost: 4.1541\n", + " and the parameters are [-1.92266869 2.73575242] -3.404575756517715 ;\n", + "Epoch 170/1000, Cost: 4.8183\n", + " and the parameters are [-1.92277779 2.73569329] -3.404638967832199 ;\n", + "Epoch 170/1000, Cost: 4.5340\n", + " and the parameters are [-1.92283004 2.73569605] -3.4046805479485274 ;\n", + "Epoch 170/1000, Cost: 7.1764\n", + " and the parameters are [-1.92291028 2.73570549] -3.404681204373286 ;\n", + "Epoch 170/1000, Cost: 5.6772\n", + " and the parameters are [-1.92288591 2.7356441 ] -3.4047929181859637 ;\n", + "Epoch 170/1000, Cost: 5.2351\n", + " and the parameters are [-1.92284033 2.73557656] -3.4049265636658164 ;\n", + "Epoch 170/1000, Cost: 4.6845\n", + " and the parameters are [-1.92282806 2.7355778 ] -3.405008552387886 ;\n", + "Epoch 170/1000, Cost: 3.8677\n", + " and the parameters are [-1.92281274 2.73556089] -3.4051024726793724 ;\n", + "Epoch 170/1000, Cost: 3.2048\n", + " and the parameters are [-1.92283731 2.73558798] -3.405149676784652 ;\n", + "Epoch 170/1000, Cost: 5.3697\n", + " and the parameters are [-1.92284999 2.73570977] -3.4051295620994804 ;\n", + "Epoch 170/1000, Cost: 5.5167\n", + " and the parameters are [-1.92293765 2.73573482] -3.405148477952204 ;\n", + "Epoch 170/1000, Cost: 4.1099\n", + " and the parameters are [-1.92295552 2.73577765] -3.40518780979299 ;\n", + "Epoch 170/1000, Cost: 3.0682\n", + " and the parameters are [-1.92296358 2.73580318] -3.40521542096055 ;\n", + "Epoch 170/1000, Cost: 7.7602\n", + " and the parameters are [-1.92301132 2.7358554 ] -3.405203837360847 ;\n", + "Epoch 170/1000, Cost: 9.2134\n", + " and the parameters are [-1.92305887 2.73579204] -3.40523122542499 ;\n", + "Epoch 170/1000, Cost: 5.2724\n", + " and the parameters are [-1.92312602 2.7357056 ] -3.4053427233866556 ;\n", + "Epoch 170/1000, Cost: 4.1228\n", + " and the parameters are [-1.92313585 2.73574064] -3.4053964652739643 ;\n", + "Epoch 170/1000, Cost: 6.7402\n", + " and the parameters are [-1.92317943 2.73582136] -3.405364526779086 ;\n", + "Epoch 170/1000, Cost: 4.2432\n", + " and the parameters are [-1.92318878 2.73588209] -3.4053915367411363 ;\n", + "Epoch 170/1000, Cost: 4.4093\n", + " and the parameters are [-1.92319019 2.73602182] -3.4053619257025796 ;\n", + "Epoch 170/1000, Cost: 3.6411\n", + " and the parameters are [-1.92317343 2.73611138] -3.4053774332494284 ;\n", + "Epoch 170/1000, Cost: 4.0161\n", + " and the parameters are [-1.92322063 2.73611026] -3.4054303504373173 ;\n", + "Epoch 170/1000, Cost: 3.5285\n", + " and the parameters are [-1.92319766 2.73619539] -3.4054466580721967 ;\n", + "Epoch 170/1000, Cost: 5.3202\n", + " and the parameters are [-1.92322838 2.7363161 ] -3.405395003884049 ;\n", + "Epoch 170/1000, Cost: 5.1172\n", + " and the parameters are [-1.923331 2.73634516] -3.4054091154750417 ;\n", + "Epoch 170/1000, Cost: 4.6921\n", + " and the parameters are [-1.92332965 2.73637358] -3.4054680856749147 ;\n", + "Epoch 170/1000, Cost: 4.7241\n", + " and the parameters are [-1.92331472 2.73655715] -3.4054001916156555 ;\n", + "Epoch 170/1000, Cost: 3.4375\n", + " and the parameters are [-1.92333967 2.73651724] -3.40546947909777 ;\n", + "Epoch 170/1000, Cost: 3.6454\n", + " and the parameters are [-1.92332339 2.73657068] -3.4055034518726446 ;\n", + "Epoch 170/1000, Cost: 4.7764\n", + " and the parameters are [-1.92343873 2.73649684] -3.4055578792751815 ;\n", + "Epoch 170/1000, Cost: 2.9158\n", + " and the parameters are [-1.92344664 2.73652477] -3.4056089226540958 ;\n", + "Epoch 170/1000, Cost: 3.2842\n", + " and the parameters are [-1.92350016 2.73650336] -3.4056743906710265 ;\n", + "Epoch 170/1000, Cost: 3.5965\n", + " and the parameters are [-1.92353092 2.73657307] -3.405661600649961 ;\n", + "Epoch 170/1000, Cost: 4.7567\n", + " and the parameters are [-1.92356383 2.73664154] -3.405659391295806 ;\n", + "Epoch 170/1000, Cost: 4.0591\n", + " and the parameters are [-1.92356894 2.73675021] -3.4056568179628255 ;\n", + "Epoch 170/1000, Cost: 4.3573\n", + " and the parameters are [-1.92358008 2.73684392] -3.405659979870457 ;\n", + "Epoch 170/1000, Cost: 4.4277\n", + " and the parameters are [-1.92369643 2.73686125] -3.4056548717509076 ;\n", + "Epoch 170/1000, Cost: 7.2883\n", + " and the parameters are [-1.92359252 2.73694811] -3.4057041645367674 ;\n", + "Epoch 170/1000, Cost: 3.6475\n", + " and the parameters are [-1.92364075 2.73705459] -3.4056778459789627 ;\n", + "Epoch 170/1000, Cost: 3.9794\n", + " and the parameters are [-1.92364986 2.73708105] -3.4057142473271336 ;\n", + "Epoch 170/1000, Cost: 4.2721\n", + " and the parameters are [-1.92368333 2.73706122] -3.405782314512859 ;\n", + "Epoch 180/1000, Cost: 5.4713\n", + " and the parameters are [-1.96088604 2.78159089] -3.471815806982311 ;\n", + "Epoch 180/1000, Cost: 3.2977\n", + " and the parameters are [-1.96092636 2.78164404] -3.471827418889298 ;\n", + "Epoch 180/1000, Cost: 2.9002\n", + " and the parameters are [-1.96087629 2.78175526] -3.471850374625253 ;\n", + "Epoch 180/1000, Cost: 2.1898\n", + " and the parameters are [-1.96093426 2.78174523] -3.471882465938088 ;\n", + "Epoch 180/1000, Cost: 5.5657\n", + " and the parameters are [-1.96104736 2.78160634] -3.4719833836693557 ;\n", + "Epoch 180/1000, Cost: 6.8030\n", + " and the parameters are [-1.96112722 2.78152541] -3.4720509140804223 ;\n", + "Epoch 180/1000, Cost: 3.6854\n", + " and the parameters are [-1.96109333 2.78166017] -3.4720456908540727 ;\n", + "Epoch 180/1000, Cost: 6.3587\n", + " and the parameters are [-1.96101114 2.78169908] -3.472147824365301 ;\n", + "Epoch 180/1000, Cost: 3.8211\n", + " and the parameters are [-1.96105537 2.78178363] -3.4721386262844556 ;\n", + "Epoch 180/1000, Cost: 2.3331\n", + " and the parameters are [-1.96107045 2.78178085] -3.4721965291569763 ;\n", + "Epoch 180/1000, Cost: 6.6900\n", + " and the parameters are [-1.96115726 2.78168396] -3.472290124147924 ;\n", + "Epoch 180/1000, Cost: 5.8685\n", + " and the parameters are [-1.96124476 2.78157279] -3.4723743479689144 ;\n", + "Epoch 180/1000, Cost: 3.1580\n", + " and the parameters are [-1.96130562 2.78159287] -3.4724071683560513 ;\n", + "Epoch 180/1000, Cost: 3.5168\n", + " and the parameters are [-1.96132848 2.78166791] -3.4724217064027902 ;\n", + "Epoch 180/1000, Cost: 2.7884\n", + " and the parameters are [-1.9612852 2.78171698] -3.472463860774834 ;\n", + "Epoch 180/1000, Cost: 4.3417\n", + " and the parameters are [-1.96126282 2.78171625] -3.4725471808043737 ;\n", + "Epoch 180/1000, Cost: 3.2358\n", + " and the parameters are [-1.96135508 2.78167546] -3.4725975713450583 ;\n", + "Epoch 180/1000, Cost: 5.9443\n", + " and the parameters are [-1.96142597 2.78155915] -3.472726720682551 ;\n", + "Epoch 180/1000, Cost: 6.8122\n", + " and the parameters are [-1.96135584 2.78160619] -3.4727925547667247 ;\n", + "Epoch 180/1000, Cost: 3.4218\n", + " and the parameters are [-1.96138121 2.78168445] -3.4727944954834684 ;\n", + "Epoch 180/1000, Cost: 6.9348\n", + " and the parameters are [-1.96140342 2.78170962] -3.4728061366893104 ;\n", + "Epoch 180/1000, Cost: 5.7271\n", + " and the parameters are [-1.96151052 2.78154814] -3.472919118634231 ;\n", + "Epoch 180/1000, Cost: 3.8369\n", + " and the parameters are [-1.9615554 2.78156642] -3.4729692871521305 ;\n", + "Epoch 180/1000, Cost: 4.1668\n", + " and the parameters are [-1.96152944 2.78155418] -3.4730613638828096 ;\n", + "Epoch 180/1000, Cost: 4.7199\n", + " and the parameters are [-1.96157135 2.78164996] -3.473028407481876 ;\n", + "Epoch 180/1000, Cost: 3.4966\n", + " and the parameters are [-1.96163516 2.7817013 ] -3.473026812455877 ;\n", + "Epoch 180/1000, Cost: 5.5065\n", + " and the parameters are [-1.96165076 2.78155116] -3.473192156890852 ;\n", + "Epoch 180/1000, Cost: 3.2231\n", + " and the parameters are [-1.96165086 2.78156961] -3.4732421534290876 ;\n", + "Epoch 180/1000, Cost: 6.8062\n", + " and the parameters are [-1.96168858 2.78151692] -3.473322925395064 ;\n", + "Epoch 180/1000, Cost: 2.5853\n", + " and the parameters are [-1.96165466 2.78164504] -3.4733150668686688 ;\n", + "Epoch 180/1000, Cost: 4.6171\n", + " and the parameters are [-1.96162941 2.78171545] -3.4733423164288153 ;\n", + "Epoch 180/1000, Cost: 3.3924\n", + " and the parameters are [-1.96164153 2.78179552] -3.47334884580136 ;\n", + "Epoch 180/1000, Cost: 6.6186\n", + " and the parameters are [-1.96166557 2.78182023] -3.4733861291568586 ;\n", + "Epoch 180/1000, Cost: 3.7605\n", + " and the parameters are [-1.96167879 2.78193666] -3.4733728857022306 ;\n", + "Epoch 180/1000, Cost: 3.8639\n", + " and the parameters are [-1.96173427 2.78194028] -3.4733958493199677 ;\n", + "Epoch 180/1000, Cost: 4.5598\n", + " and the parameters are [-1.96182182 2.78186671] -3.4734743687371616 ;\n", + "Epoch 180/1000, Cost: 3.9451\n", + " and the parameters are [-1.96177486 2.78197674] -3.473493710649728 ;\n", + "Epoch 180/1000, Cost: 3.1255\n", + " and the parameters are [-1.96177946 2.78208847] -3.473467868234203 ;\n", + "Epoch 180/1000, Cost: 5.6983\n", + " and the parameters are [-1.96180301 2.78206233] -3.473553361424327 ;\n", + "Epoch 180/1000, Cost: 5.2477\n", + " and the parameters are [-1.96182374 2.78199617] -3.473659151799009 ;\n", + "Epoch 180/1000, Cost: 3.0717\n", + " and the parameters are [-1.96182935 2.78198185] -3.473718125390599 ;\n", + "Epoch 180/1000, Cost: 2.5467\n", + " and the parameters are [-1.96183407 2.7820716 ] -3.473713385573075 ;\n", + "Epoch 180/1000, Cost: 4.9920\n", + " and the parameters are [-1.96192068 2.78200224] -3.473778017160345 ;\n", + "Epoch 180/1000, Cost: 3.0087\n", + " and the parameters are [-1.96191553 2.78207651] -3.4738019820475103 ;\n", + "Epoch 180/1000, Cost: 2.5476\n", + " and the parameters are [-1.96188215 2.78220354] -3.473796574397543 ;\n", + "Epoch 180/1000, Cost: 8.4071\n", + " and the parameters are [-1.9618416 2.78212773] -3.4739261632214484 ;\n", + "Epoch 180/1000, Cost: 5.7528\n", + " and the parameters are [-1.96193646 2.78216909] -3.4738930770543033 ;\n", + "Epoch 180/1000, Cost: 5.3442\n", + " and the parameters are [-1.96199803 2.78216951] -3.473926281926913 ;\n", + "Epoch 180/1000, Cost: 3.1529\n", + " and the parameters are [-1.96204992 2.7821658 ] -3.473985082032143 ;\n", + "Epoch 180/1000, Cost: 6.0045\n", + " and the parameters are [-1.96205039 2.78226708] -3.473969466551454 ;\n", + "Epoch 180/1000, Cost: 5.4365\n", + " and the parameters are [-1.96214371 2.78222462] -3.4740255034767062 ;\n", + "Epoch 180/1000, Cost: 5.0880\n", + " and the parameters are [-1.96223569 2.78222628] -3.4740289328482317 ;\n", + "Epoch 180/1000, Cost: 5.6812\n", + " and the parameters are [-1.96223633 2.78217661] -3.474146974028965 ;\n", + "Epoch 180/1000, Cost: 3.7647\n", + " and the parameters are [-1.96225693 2.78231138] -3.4741143152441074 ;\n", + "Epoch 180/1000, Cost: 4.7324\n", + " and the parameters are [-1.96215266 2.78242418] -3.4741538570463395 ;\n", + "Epoch 180/1000, Cost: 2.7956\n", + " and the parameters are [-1.96214065 2.78256123] -3.4741325414062847 ;\n", + "Epoch 180/1000, Cost: 4.4876\n", + " and the parameters are [-1.96208691 2.78256286] -3.474203154952522 ;\n", + "Epoch 180/1000, Cost: 3.7722\n", + " and the parameters are [-1.96210971 2.7825753 ] -3.4742660674209427 ;\n", + "Epoch 180/1000, Cost: 7.2721\n", + " and the parameters are [-1.96219451 2.78242798] -3.474384189139296 ;\n", + "Epoch 180/1000, Cost: 6.0330\n", + " and the parameters are [-1.96216365 2.78233161] -3.4745460969934543 ;\n", + "Epoch 180/1000, Cost: 5.4279\n", + " and the parameters are [-1.96214244 2.78234602] -3.474620190815483 ;\n", + "Epoch 180/1000, Cost: 4.2301\n", + " and the parameters are [-1.96226562 2.78224866] -3.4746712305403946 ;\n", + "Epoch 180/1000, Cost: 4.9339\n", + " and the parameters are [-1.96222826 2.7824645 ] -3.4745736566112884 ;\n", + "Epoch 180/1000, Cost: 4.3617\n", + " and the parameters are [-1.96221908 2.78247745] -3.474627010064682 ;\n", + "Epoch 180/1000, Cost: 3.4651\n", + " and the parameters are [-1.96217905 2.7824888 ] -3.4747085884201123 ;\n", + "Epoch 180/1000, Cost: 3.6331\n", + " and the parameters are [-1.96213939 2.7824889 ] -3.4747918926422185 ;\n", + "Epoch 180/1000, Cost: 2.9792\n", + " and the parameters are [-1.96218854 2.78252641] -3.4748120721732594 ;\n", + "Epoch 180/1000, Cost: 4.1244\n", + " and the parameters are [-1.96223019 2.7824939 ] -3.4748692190795687 ;\n", + "Epoch 180/1000, Cost: 2.5097\n", + " and the parameters are [-1.96225357 2.78252991] -3.474886018977863 ;\n", + "Epoch 180/1000, Cost: 5.9551\n", + " and the parameters are [-1.96220579 2.78264154] -3.4748809710974577 ;\n", + "Epoch 180/1000, Cost: 4.8605\n", + " and the parameters are [-1.96222662 2.78265213] -3.4749070955516412 ;\n", + "Epoch 180/1000, Cost: 5.6550\n", + " and the parameters are [-1.96237751 2.78256445] -3.474945492497422 ;\n", + "Epoch 180/1000, Cost: 7.1691\n", + " and the parameters are [-1.96244382 2.78246404] -3.4750270107354275 ;\n", + "Epoch 180/1000, Cost: 3.0080\n", + " and the parameters are [-1.96244913 2.78254589] -3.475029140191093 ;\n", + "Epoch 180/1000, Cost: 3.2110\n", + " and the parameters are [-1.96242799 2.78256714] -3.475083123477773 ;\n", + "Epoch 180/1000, Cost: 3.0867\n", + " and the parameters are [-1.96239426 2.78270713] -3.475070411883677 ;\n", + "Epoch 180/1000, Cost: 3.2334\n", + " and the parameters are [-1.96246698 2.78269682] -3.475107713621878 ;\n", + "Epoch 180/1000, Cost: 2.5063\n", + " and the parameters are [-1.9624642 2.78273527] -3.475142033232113 ;\n", + "Epoch 180/1000, Cost: 4.4578\n", + " and the parameters are [-1.96249366 2.78280239] -3.475154379323019 ;\n", + "Epoch 180/1000, Cost: 4.0445\n", + " and the parameters are [-1.96255518 2.78288635] -3.475125793370089 ;\n", + "Epoch 180/1000, Cost: 4.2529\n", + " and the parameters are [-1.96257471 2.78299182] -3.4751046905762006 ;\n", + "Epoch 180/1000, Cost: 5.7776\n", + " and the parameters are [-1.96258939 2.7829956 ] -3.47514576404941 ;\n", + "Epoch 180/1000, Cost: 5.0230\n", + " and the parameters are [-1.96262987 2.78289011] -3.475269664322096 ;\n", + "Epoch 180/1000, Cost: 5.9387\n", + " and the parameters are [-1.96266262 2.78290479] -3.4753072452831515 ;\n", + "Epoch 180/1000, Cost: 3.0554\n", + " and the parameters are [-1.96268842 2.78294314] -3.4753378192053224 ;\n", + "Epoch 180/1000, Cost: 8.6059\n", + " and the parameters are [-1.96281387 2.78289026] -3.475329504866942 ;\n", + "Epoch 180/1000, Cost: 4.9810\n", + " and the parameters are [-1.96288213 2.78288008] -3.475372240084934 ;\n", + "Epoch 180/1000, Cost: 2.2347\n", + " and the parameters are [-1.96288929 2.78292398] -3.475398145968952 ;\n", + "Epoch 180/1000, Cost: 3.4687\n", + " and the parameters are [-1.96282116 2.78297247] -3.4754671691570205 ;\n", + "Epoch 180/1000, Cost: 5.4293\n", + " and the parameters are [-1.96298575 2.78290631] -3.4754835879428985 ;\n", + "Epoch 180/1000, Cost: 4.7383\n", + " and the parameters are [-1.96310574 2.78287301] -3.4755059589036112 ;\n", + "Epoch 180/1000, Cost: 3.4664\n", + " and the parameters are [-1.96319693 2.78291458] -3.475503616896898 ;\n", + "Epoch 180/1000, Cost: 2.5044\n", + " and the parameters are [-1.96317976 2.7830159 ] -3.4754990323493558 ;\n", + "Epoch 180/1000, Cost: 3.4531\n", + " and the parameters are [-1.96321171 2.78306573] -3.4755246998601312 ;\n", + "Epoch 180/1000, Cost: 4.9407\n", + " and the parameters are [-1.96325203 2.78313548] -3.4755074084499933 ;\n", + "Epoch 180/1000, Cost: 3.1778\n", + " and the parameters are [-1.96322948 2.78322882] -3.4754973460589427 ;\n", + "Epoch 180/1000, Cost: 2.8586\n", + " and the parameters are [-1.96325696 2.78326036] -3.475507652723631 ;\n", + "Epoch 180/1000, Cost: 7.1691\n", + " and the parameters are [-1.96341842 2.78293709] -3.475724340661843 ;\n", + "Epoch 180/1000, Cost: 3.1626\n", + " and the parameters are [-1.96346779 2.78298656] -3.4757387445478987 ;\n", + "Epoch 180/1000, Cost: 5.7639\n", + " and the parameters are [-1.96353066 2.78292536] -3.4758430279219352 ;\n", + "Epoch 180/1000, Cost: 4.9381\n", + " and the parameters are [-1.96355738 2.78293655] -3.475885206829085 ;\n", + "Epoch 180/1000, Cost: 3.1663\n", + " and the parameters are [-1.9635976 2.78302254] -3.4758699756075098 ;\n", + "Epoch 180/1000, Cost: 3.8678\n", + " and the parameters are [-1.96362203 2.78316537] -3.475838922359026 ;\n", + "Epoch 180/1000, Cost: 2.8703\n", + " and the parameters are [-1.96364336 2.78316273] -3.4758792170408017 ;\n", + "Epoch 180/1000, Cost: 3.2292\n", + " and the parameters are [-1.96365656 2.78330923] -3.4758320614903804 ;\n", + "Epoch 180/1000, Cost: 4.3933\n", + " and the parameters are [-1.96360547 2.78335436] -3.475898298144893 ;\n", + "Epoch 180/1000, Cost: 4.0793\n", + " and the parameters are [-1.96371054 2.78333538] -3.475920925539529 ;\n", + "Epoch 180/1000, Cost: 3.5520\n", + " and the parameters are [-1.96370018 2.78338828] -3.4759574977514216 ;\n", + "Epoch 180/1000, Cost: 3.4932\n", + " and the parameters are [-1.96371043 2.78343833] -3.475980983842354 ;\n", + "Epoch 180/1000, Cost: 3.5713\n", + " and the parameters are [-1.96374128 2.78343461] -3.4760410817395524 ;\n", + "Epoch 180/1000, Cost: 4.8848\n", + " and the parameters are [-1.96380745 2.78333766] -3.4761478324988584 ;\n", + "Epoch 180/1000, Cost: 3.5879\n", + " and the parameters are [-1.96378249 2.78339787] -3.476187434337332 ;\n", + "Epoch 180/1000, Cost: 5.7905\n", + " and the parameters are [-1.96377426 2.78330572] -3.476313218290314 ;\n", + "Epoch 180/1000, Cost: 2.5978\n", + " and the parameters are [-1.96376686 2.78339826] -3.4763127456330083 ;\n", + "Epoch 180/1000, Cost: 4.4210\n", + " and the parameters are [-1.96380138 2.78342995] -3.4763277248489737 ;\n", + "Epoch 180/1000, Cost: 3.2364\n", + " and the parameters are [-1.96385351 2.78348011] -3.4763309804858733 ;\n", + "Epoch 180/1000, Cost: 2.6305\n", + " and the parameters are [-1.96386775 2.78351031] -3.4763663706893624 ;\n", + "Epoch 180/1000, Cost: 5.0582\n", + " and the parameters are [-1.96391833 2.78346307] -3.476439658203545 ;\n", + "Epoch 180/1000, Cost: 4.1979\n", + " and the parameters are [-1.96401727 2.78337904] -3.476521115512092 ;\n", + "Epoch 180/1000, Cost: 5.7630\n", + " and the parameters are [-1.96419986 2.78330539] -3.4765606230300423 ;\n", + "Epoch 180/1000, Cost: 4.1600\n", + " and the parameters are [-1.96424225 2.78331143] -3.476586721889988 ;\n", + "Epoch 180/1000, Cost: 5.4766\n", + " and the parameters are [-1.9642412 2.78331263] -3.4766477674253404 ;\n", + "Epoch 180/1000, Cost: 1.9156\n", + " and the parameters are [-1.96427483 2.78338801] -3.476632466685657 ;\n", + "Epoch 180/1000, Cost: 4.1520\n", + " and the parameters are [-1.96434055 2.78351376] -3.476575509380144 ;\n", + "Epoch 180/1000, Cost: 4.0331\n", + " and the parameters are [-1.96439191 2.78354426] -3.4765954888622006 ;\n", + "Epoch 180/1000, Cost: 4.8243\n", + " and the parameters are [-1.96441085 2.78365593] -3.476573033751533 ;\n", + "Epoch 180/1000, Cost: 7.4146\n", + " and the parameters are [-1.96442688 2.78369821] -3.4765787788081397 ;\n", + "Epoch 180/1000, Cost: 7.7120\n", + " and the parameters are [-1.96437603 2.7836817 ] -3.476665103611212 ;\n", + "Epoch 180/1000, Cost: 3.3772\n", + " and the parameters are [-1.96439981 2.7836403 ] -3.4767303236601923 ;\n", + "Epoch 180/1000, Cost: 3.1188\n", + " and the parameters are [-1.9643926 2.78380035] -3.4766733763764064 ;\n", + "Epoch 180/1000, Cost: 5.8593\n", + " and the parameters are [-1.9643405 2.78385316] -3.47670473536213 ;\n", + "Epoch 180/1000, Cost: 6.0848\n", + " and the parameters are [-1.96433402 2.78397088] -3.4766569454544043 ;\n", + "Epoch 180/1000, Cost: 2.7610\n", + " and the parameters are [-1.96438818 2.78400545] -3.476684700906824 ;\n", + "Epoch 180/1000, Cost: 2.0394\n", + " and the parameters are [-1.96439571 2.78405137] -3.476705981250529 ;\n", + "Epoch 180/1000, Cost: 4.6424\n", + " and the parameters are [-1.96443728 2.78419343] -3.4766466652497074 ;\n", + "Epoch 180/1000, Cost: 3.6411\n", + " and the parameters are [-1.96445338 2.78429764] -3.476646016676376 ;\n", + "Epoch 180/1000, Cost: 4.2435\n", + " and the parameters are [-1.96441117 2.78433725] -3.476719825536776 ;\n", + "Epoch 180/1000, Cost: 4.6018\n", + " and the parameters are [-1.96438785 2.78444196] -3.4767306151549073 ;\n", + "Epoch 180/1000, Cost: 5.5462\n", + " and the parameters are [-1.96440743 2.78443183] -3.4767773550794137 ;\n", + "Epoch 180/1000, Cost: 7.5065\n", + " and the parameters are [-1.96437229 2.78438089] -3.476885927245012 ;\n", + "Epoch 180/1000, Cost: 5.1693\n", + " and the parameters are [-1.96446135 2.78431159] -3.4769766641420574 ;\n", + "Epoch 180/1000, Cost: 4.2319\n", + " and the parameters are [-1.96449994 2.78431387] -3.4770187951899967 ;\n", + "Epoch 180/1000, Cost: 4.2102\n", + " and the parameters are [-1.96449882 2.78430754] -3.4770738774741616 ;\n", + "Epoch 180/1000, Cost: 3.6163\n", + " and the parameters are [-1.96455328 2.78430524] -3.4771133771204004 ;\n", + "Epoch 180/1000, Cost: 6.0091\n", + " and the parameters are [-1.96450123 2.78440631] -3.4770796500439154 ;\n", + "Epoch 180/1000, Cost: 6.6580\n", + " and the parameters are [-1.96441053 2.78449587] -3.477135909435704 ;\n", + "Epoch 180/1000, Cost: 5.1648\n", + " and the parameters are [-1.9643798 2.78443465] -3.4772710366684016 ;\n", + "Epoch 180/1000, Cost: 5.4032\n", + " and the parameters are [-1.96434132 2.78458952] -3.477244635871283 ;\n", + "Epoch 180/1000, Cost: 5.2779\n", + " and the parameters are [-1.96430557 2.78463289] -3.477286309956853 ;\n", + "Epoch 180/1000, Cost: 3.4180\n", + " and the parameters are [-1.96437103 2.78453409] -3.4773835805002977 ;\n", + "Epoch 180/1000, Cost: 8.1513\n", + " and the parameters are [-1.9643223 2.78448293] -3.477481923157158 ;\n", + "Epoch 180/1000, Cost: 3.3197\n", + " and the parameters are [-1.96431744 2.78458274] -3.4774902283134534 ;\n", + "Epoch 180/1000, Cost: 4.5862\n", + " and the parameters are [-1.9643836 2.78449657] -3.4775972971900018 ;\n", + "Epoch 180/1000, Cost: 2.8346\n", + " and the parameters are [-1.96436829 2.78451407] -3.4776560845390927 ;\n", + "Epoch 180/1000, Cost: 4.1317\n", + " and the parameters are [-1.96434407 2.78470476] -3.47759606677379 ;\n", + "Epoch 180/1000, Cost: 8.2839\n", + " and the parameters are [-1.9642991 2.78482304] -3.4775716200444413 ;\n", + "Epoch 180/1000, Cost: 5.5875\n", + " and the parameters are [-1.96433408 2.78474231] -3.477673490248933 ;\n", + "Epoch 180/1000, Cost: 4.3937\n", + " and the parameters are [-1.96438256 2.7848219 ] -3.4776437227119703 ;\n", + "Epoch 180/1000, Cost: 2.2414\n", + " and the parameters are [-1.9643371 2.78494056] -3.4776427077699172 ;\n", + "Epoch 180/1000, Cost: 2.8481\n", + " and the parameters are [-1.96436103 2.78501192] -3.4776392747083937 ;\n", + "Epoch 180/1000, Cost: 3.7721\n", + " and the parameters are [-1.96434048 2.78506101] -3.4776824400767916 ;\n", + "Epoch 180/1000, Cost: 4.8397\n", + " and the parameters are [-1.96439129 2.78503059] -3.4777490038229564 ;\n", + "Epoch 180/1000, Cost: 3.3263\n", + " and the parameters are [-1.96439289 2.78509431] -3.477779447652746 ;\n", + "Epoch 180/1000, Cost: 5.9675\n", + " and the parameters are [-1.96438175 2.78515567] -3.4778089231745564 ;\n", + "Epoch 180/1000, Cost: 3.2508\n", + " and the parameters are [-1.96440887 2.78512383] -3.47789110628859 ;\n", + "Epoch 180/1000, Cost: 6.6698\n", + " and the parameters are [-1.96429184 2.7851662 ] -3.477970480598686 ;\n", + "Epoch 180/1000, Cost: 4.2974\n", + " and the parameters are [-1.96427503 2.78516016] -3.478044730472413 ;\n", + "Epoch 180/1000, Cost: 5.0734\n", + " and the parameters are [-1.96428432 2.78513941] -3.4781340641386285 ;\n", + "Epoch 180/1000, Cost: 3.3792\n", + " and the parameters are [-1.96430639 2.7851605 ] -3.4781622830646217 ;\n", + "Epoch 180/1000, Cost: 3.8800\n", + " and the parameters are [-1.96426068 2.78531045] -3.47814134397307 ;\n", + "Epoch 180/1000, Cost: 4.8525\n", + " and the parameters are [-1.96427029 2.78532353] -3.4782275306918202 ;\n", + "Epoch 180/1000, Cost: 9.0567\n", + " and the parameters are [-1.96434832 2.78523462] -3.4782673502949693 ;\n", + "Epoch 180/1000, Cost: 2.7570\n", + " and the parameters are [-1.9643888 2.78528655] -3.4782771928601464 ;\n", + "Epoch 180/1000, Cost: 4.2742\n", + " and the parameters are [-1.96441576 2.78532615] -3.478303485982667 ;\n", + "Epoch 180/1000, Cost: 6.6667\n", + " and the parameters are [-1.96440632 2.78537394] -3.4783428365550115 ;\n", + "Epoch 180/1000, Cost: 2.5354\n", + " and the parameters are [-1.96441691 2.78545144] -3.478337295208764 ;\n", + "Epoch 180/1000, Cost: 3.5365\n", + " and the parameters are [-1.96441818 2.78551885] -3.4783594999442107 ;\n", + "Epoch 180/1000, Cost: 5.5531\n", + " and the parameters are [-1.96445432 2.78541477] -3.47845860374738 ;\n", + "Epoch 180/1000, Cost: 2.9122\n", + " and the parameters are [-1.96444455 2.78558831] -3.478406692013649 ;\n", + "Epoch 180/1000, Cost: 3.0852\n", + " and the parameters are [-1.96441975 2.78567603] -3.4784190154234573 ;\n", + "Epoch 180/1000, Cost: 4.7267\n", + " and the parameters are [-1.96446267 2.78577961] -3.478396147128998 ;\n", + "Epoch 180/1000, Cost: 5.4711\n", + " and the parameters are [-1.96450966 2.78585493] -3.478393305792719 ;\n", + "Epoch 180/1000, Cost: 4.6030\n", + " and the parameters are [-1.96451126 2.78589044] -3.4784401551863553 ;\n", + "Epoch 180/1000, Cost: 5.4040\n", + " and the parameters are [-1.96446903 2.78596203] -3.4784452484287938 ;\n", + "Epoch 180/1000, Cost: 5.1990\n", + " and the parameters are [-1.96442712 2.7860381 ] -3.478486266257331 ;\n", + "Epoch 180/1000, Cost: 4.6852\n", + " and the parameters are [-1.96436706 2.7862074 ] -3.4784622649159895 ;\n", + "Epoch 180/1000, Cost: 4.1755\n", + " and the parameters are [-1.96438883 2.78621146] -3.4785224932662513 ;\n", + "Epoch 180/1000, Cost: 6.4470\n", + " and the parameters are [-1.96441874 2.78620656] -3.4785515987504656 ;\n", + "Epoch 180/1000, Cost: 4.1112\n", + " and the parameters are [-1.96441336 2.78627358] -3.4785652032464074 ;\n", + "Epoch 180/1000, Cost: 4.1490\n", + " and the parameters are [-1.96440838 2.78622025] -3.4786568613969098 ;\n", + "Epoch 180/1000, Cost: 4.0067\n", + " and the parameters are [-1.96442872 2.78627265] -3.478685393879702 ;\n", + "Epoch 180/1000, Cost: 5.5517\n", + " and the parameters are [-1.96455476 2.78618733] -3.478744246225562 ;\n", + "Epoch 180/1000, Cost: 4.7799\n", + " and the parameters are [-1.96459112 2.78617877] -3.478770558732262 ;\n", + "Epoch 180/1000, Cost: 3.1334\n", + " and the parameters are [-1.96461609 2.78622193] -3.478799280490507 ;\n", + "Epoch 180/1000, Cost: 5.5884\n", + " and the parameters are [-1.96469934 2.78612152] -3.478882242970864 ;\n", + "Epoch 180/1000, Cost: 3.7305\n", + " and the parameters are [-1.96474264 2.78626558] -3.4788191947255953 ;\n", + "Epoch 180/1000, Cost: 3.8648\n", + " and the parameters are [-1.96478852 2.78627475] -3.478867036551664 ;\n", + "Epoch 180/1000, Cost: 3.4568\n", + " and the parameters are [-1.96485004 2.78625503] -3.4789284690649103 ;\n", + "Epoch 180/1000, Cost: 3.5172\n", + " and the parameters are [-1.96485138 2.78634035] -3.4789171911329557 ;\n", + "Epoch 180/1000, Cost: 4.5489\n", + " and the parameters are [-1.9648669 2.78641413] -3.4789268980130994 ;\n", + "Epoch 190/1000, Cost: 4.3735\n", + " and the parameters are [-2.00026534 2.82881552] -3.54185785194027 ;\n", + "Epoch 190/1000, Cost: 6.6881\n", + " and the parameters are [-2.00020644 2.82890632] -3.541860590683913 ;\n", + "Epoch 190/1000, Cost: 3.9430\n", + " and the parameters are [-2.0001792 2.82893536] -3.5419080634626985 ;\n", + "Epoch 190/1000, Cost: 4.5922\n", + " and the parameters are [-2.00024054 2.82888477] -3.5419829705788644 ;\n", + "Epoch 190/1000, Cost: 6.1348\n", + " and the parameters are [-2.00022878 2.82900745] -3.5419224325325516 ;\n", + "Epoch 190/1000, Cost: 3.5027\n", + " and the parameters are [-2.00024223 2.82900966] -3.541988946116005 ;\n", + "Epoch 190/1000, Cost: 3.6683\n", + " and the parameters are [-2.00030539 2.8290244 ] -3.542015365924644 ;\n", + "Epoch 190/1000, Cost: 4.5309\n", + " and the parameters are [-2.00031527 2.82904134] -3.5420795781276477 ;\n", + "Epoch 190/1000, Cost: 5.3448\n", + " and the parameters are [-2.00032672 2.82905989] -3.542138736701336 ;\n", + "Epoch 190/1000, Cost: 6.1242\n", + " and the parameters are [-2.00040642 2.82902107] -3.5421903565936166 ;\n", + "Epoch 190/1000, Cost: 3.2077\n", + " and the parameters are [-2.00052493 2.82898699] -3.542219009837176 ;\n", + "Epoch 190/1000, Cost: 6.1818\n", + " and the parameters are [-2.00050789 2.82901084] -3.542295214740976 ;\n", + "Epoch 190/1000, Cost: 3.6346\n", + " and the parameters are [-2.00058978 2.82906508] -3.542286963917057 ;\n", + "Epoch 190/1000, Cost: 3.0283\n", + " and the parameters are [-2.00057979 2.82913245] -3.5423088218303183 ;\n", + "Epoch 190/1000, Cost: 5.6402\n", + " and the parameters are [-2.00057668 2.82921977] -3.542269288007164 ;\n", + "Epoch 190/1000, Cost: 3.0548\n", + " and the parameters are [-2.00061898 2.82921824] -3.542308388249242 ;\n", + "Epoch 190/1000, Cost: 6.1189\n", + " and the parameters are [-2.00056916 2.82915877] -3.5424262935522925 ;\n", + "Epoch 190/1000, Cost: 3.9619\n", + " and the parameters are [-2.00052628 2.82921503] -3.542479298556476 ;\n", + "Epoch 190/1000, Cost: 3.1502\n", + " and the parameters are [-2.00058186 2.82916793] -3.5425361760250897 ;\n", + "Epoch 190/1000, Cost: 4.8870\n", + " and the parameters are [-2.0007291 2.82919456] -3.542485021724928 ;\n", + "Epoch 190/1000, Cost: 2.7715\n", + " and the parameters are [-2.00074601 2.82925898] -3.542503473134652 ;\n", + "Epoch 190/1000, Cost: 4.1466\n", + " and the parameters are [-2.00071654 2.82925669] -3.5425983844866673 ;\n", + "Epoch 190/1000, Cost: 4.6434\n", + " and the parameters are [-2.00071156 2.82932232] -3.542619788461915 ;\n", + "Epoch 190/1000, Cost: 4.4224\n", + " and the parameters are [-2.00073394 2.82938716] -3.542617633811037 ;\n", + "Epoch 190/1000, Cost: 3.9841\n", + " and the parameters are [-2.00068077 2.82941881] -3.542666557295815 ;\n", + "Epoch 190/1000, Cost: 3.6122\n", + " and the parameters are [-2.0007246 2.82944893] -3.542684634453959 ;\n", + "Epoch 190/1000, Cost: 6.1257\n", + " and the parameters are [-2.00073652 2.82940816] -3.5427626895024193 ;\n", + "Epoch 190/1000, Cost: 2.5156\n", + " and the parameters are [-2.00074134 2.82941196] -3.5428186280491496 ;\n", + "Epoch 190/1000, Cost: 5.8686\n", + " and the parameters are [-2.00065098 2.82955699] -3.542782273036451 ;\n", + "Epoch 190/1000, Cost: 2.6855\n", + " and the parameters are [-2.00068044 2.82953789] -3.5428451055203034 ;\n", + "Epoch 190/1000, Cost: 6.4431\n", + " and the parameters are [-2.00072418 2.82952575] -3.5429016785236773 ;\n", + "Epoch 190/1000, Cost: 4.5657\n", + " and the parameters are [-2.00077834 2.82943431] -3.5429978519158896 ;\n", + "Epoch 190/1000, Cost: 3.5139\n", + " and the parameters are [-2.00080652 2.82945487] -3.54304558550464 ;\n", + "Epoch 190/1000, Cost: 3.8320\n", + " and the parameters are [-2.00076252 2.82956524] -3.5430382675394636 ;\n", + "Epoch 190/1000, Cost: 2.9419\n", + " and the parameters are [-2.00078593 2.82957502] -3.543067728727666 ;\n", + "Epoch 190/1000, Cost: 5.5350\n", + " and the parameters are [-2.00088358 2.82960008] -3.543068374324815 ;\n", + "Epoch 190/1000, Cost: 3.9047\n", + " and the parameters are [-2.00091559 2.82958951] -3.543127871209597 ;\n", + "Epoch 190/1000, Cost: 3.5612\n", + " and the parameters are [-2.00098403 2.82953696] -3.543194519765131 ;\n", + "Epoch 190/1000, Cost: 4.8060\n", + " and the parameters are [-2.00101339 2.82956387] -3.5432232408530067 ;\n", + "Epoch 190/1000, Cost: 5.1715\n", + " and the parameters are [-2.00103045 2.8295136 ] -3.5433197669871435 ;\n", + "Epoch 190/1000, Cost: 5.6173\n", + " and the parameters are [-2.00101029 2.82964551] -3.543255777081089 ;\n", + "Epoch 190/1000, Cost: 4.3083\n", + " and the parameters are [-2.00102476 2.82977398] -3.5432202060661253 ;\n", + "Epoch 190/1000, Cost: 2.8577\n", + " and the parameters are [-2.00105406 2.82985656] -3.5432125644173533 ;\n", + "Epoch 190/1000, Cost: 2.4514\n", + " and the parameters are [-2.00108994 2.82989453] -3.5432294882595583 ;\n", + "Epoch 190/1000, Cost: 3.4855\n", + " and the parameters are [-2.0011554 2.82989405] -3.543276176061905 ;\n", + "Epoch 190/1000, Cost: 4.9142\n", + " and the parameters are [-2.00113674 2.82991814] -3.5433380044146388 ;\n", + "Epoch 190/1000, Cost: 2.3809\n", + " and the parameters are [-2.00113434 2.82994486] -3.5433768654326654 ;\n", + "Epoch 190/1000, Cost: 2.7726\n", + " and the parameters are [-2.00118715 2.82999352] -3.5433652205191817 ;\n", + "Epoch 190/1000, Cost: 4.5617\n", + " and the parameters are [-2.00122075 2.82992676] -3.5434809243976164 ;\n", + "Epoch 190/1000, Cost: 2.6699\n", + " and the parameters are [-2.00118409 2.82996317] -3.5435265888794434 ;\n", + "Epoch 190/1000, Cost: 6.5711\n", + " and the parameters are [-2.00122664 2.82995415] -3.543577374991426 ;\n", + "Epoch 190/1000, Cost: 5.9838\n", + " and the parameters are [-2.00114674 2.82998843] -3.5436377787608846 ;\n", + "Epoch 190/1000, Cost: 3.4854\n", + " and the parameters are [-2.00121288 2.83002955] -3.5436197934988 ;\n", + "Epoch 190/1000, Cost: 8.0818\n", + " and the parameters are [-2.0012939 2.82995368] -3.5436384746166025 ;\n", + "Epoch 190/1000, Cost: 2.9979\n", + " and the parameters are [-2.00128951 2.82995523] -3.5437108792586955 ;\n", + "Epoch 190/1000, Cost: 7.3053\n", + " and the parameters are [-2.00128159 2.83005977] -3.5436930313876793 ;\n", + "Epoch 190/1000, Cost: 4.1784\n", + " and the parameters are [-2.00137813 2.8300759 ] -3.543706134211762 ;\n", + "Epoch 190/1000, Cost: 4.4307\n", + " and the parameters are [-2.00136681 2.83022483] -3.543654432078891 ;\n", + "Epoch 190/1000, Cost: 4.3322\n", + " and the parameters are [-2.00141918 2.83012172] -3.5437617126460075 ;\n", + "Epoch 190/1000, Cost: 2.5755\n", + " and the parameters are [-2.00148128 2.83009411] -3.543789332893556 ;\n", + "Epoch 190/1000, Cost: 3.9258\n", + " and the parameters are [-2.00146154 2.83006481] -3.543880348777818 ;\n", + "Epoch 190/1000, Cost: 4.0420\n", + " and the parameters are [-2.00155092 2.83004385] -3.543901595877187 ;\n", + "Epoch 190/1000, Cost: 4.8170\n", + " and the parameters are [-2.00152215 2.82997937] -3.5440217785573167 ;\n", + "Epoch 190/1000, Cost: 3.3006\n", + " and the parameters are [-2.00158097 2.82992445] -3.544093774563678 ;\n", + "Epoch 190/1000, Cost: 4.2898\n", + " and the parameters are [-2.00159337 2.82993672] -3.5441584101604495 ;\n", + "Epoch 190/1000, Cost: 4.5367\n", + " and the parameters are [-2.00169765 2.82989961] -3.5442109782532287 ;\n", + "Epoch 190/1000, Cost: 3.9102\n", + " and the parameters are [-2.00163004 2.83002697] -3.5442160361401847 ;\n", + "Epoch 190/1000, Cost: 5.1270\n", + " and the parameters are [-2.00162362 2.83026188] -3.5440943539919227 ;\n", + "Epoch 190/1000, Cost: 5.0588\n", + " and the parameters are [-2.00168033 2.83018046] -3.5441793029748 ;\n", + "Epoch 190/1000, Cost: 4.0879\n", + " and the parameters are [-2.001726 2.83023286] -3.544176984538286 ;\n", + "Epoch 190/1000, Cost: 6.4597\n", + " and the parameters are [-2.00181347 2.83015577] -3.544234902182854 ;\n", + "Epoch 190/1000, Cost: 4.5634\n", + " and the parameters are [-2.00183497 2.83022564] -3.5442317823748395 ;\n", + "Epoch 190/1000, Cost: 2.9865\n", + " and the parameters are [-2.00179396 2.83030724] -3.5442653323862716 ;\n", + "Epoch 190/1000, Cost: 2.5146\n", + " and the parameters are [-2.00185012 2.83031656] -3.5442993498251196 ;\n", + "Epoch 190/1000, Cost: 8.6625\n", + " and the parameters are [-2.00171768 2.83035828] -3.5443732986380647 ;\n", + "Epoch 190/1000, Cost: 2.2981\n", + " and the parameters are [-2.0017992 2.83041138] -3.544346364605404 ;\n", + "Epoch 190/1000, Cost: 5.2284\n", + " and the parameters are [-2.00180422 2.83037791] -3.5444440206374312 ;\n", + "Epoch 190/1000, Cost: 4.9852\n", + " and the parameters are [-2.00180778 2.8304168 ] -3.5444637676179838 ;\n", + "Epoch 190/1000, Cost: 3.2544\n", + " and the parameters are [-2.00183888 2.83042027] -3.544514583388899 ;\n", + "Epoch 190/1000, Cost: 4.1890\n", + " and the parameters are [-2.00187323 2.83045437] -3.544498214224435 ;\n", + "Epoch 190/1000, Cost: 5.9698\n", + " and the parameters are [-2.00192544 2.83040144] -3.5445318374415766 ;\n", + "Epoch 190/1000, Cost: 1.9290\n", + " and the parameters are [-2.00191512 2.83048491] -3.5445367487535258 ;\n", + "Epoch 190/1000, Cost: 2.8175\n", + " and the parameters are [-2.0019058 2.83049914] -3.544600490154926 ;\n", + "Epoch 190/1000, Cost: 2.9212\n", + " and the parameters are [-2.00185362 2.83061643] -3.544609996713132 ;\n", + "Epoch 190/1000, Cost: 6.6868\n", + " and the parameters are [-2.00185542 2.83069115] -3.544583342025252 ;\n", + "Epoch 190/1000, Cost: 3.7707\n", + " and the parameters are [-2.00188805 2.83079848] -3.544543143328411 ;\n", + "Epoch 190/1000, Cost: 4.9159\n", + " and the parameters are [-2.0018763 2.8307877] -3.5446270500070383 ;\n", + "Epoch 190/1000, Cost: 5.3115\n", + " and the parameters are [-2.00184774 2.83081273] -3.544709740044031 ;\n", + "Epoch 190/1000, Cost: 4.0043\n", + " and the parameters are [-2.001868 2.83092244] -3.5446948653802117 ;\n", + "Epoch 190/1000, Cost: 4.7858\n", + " and the parameters are [-2.0019179 2.83092166] -3.5447410544174436 ;\n", + "Epoch 190/1000, Cost: 3.5798\n", + " and the parameters are [-2.00194473 2.83106904] -3.5446913953797012 ;\n", + "Epoch 190/1000, Cost: 4.3896\n", + " and the parameters are [-2.00196283 2.83107767] -3.544707120973401 ;\n", + "Epoch 190/1000, Cost: 4.2031\n", + " and the parameters are [-2.00198639 2.83112422] -3.544725978137114 ;\n", + "Epoch 190/1000, Cost: 3.8431\n", + " and the parameters are [-2.00201334 2.83123552] -3.5446999899140486 ;\n", + "Epoch 190/1000, Cost: 5.1756\n", + " and the parameters are [-2.00199025 2.83143983] -3.5446029959832575 ;\n", + "Epoch 190/1000, Cost: 4.9149\n", + " and the parameters are [-2.00193518 2.83153096] -3.544617760463753 ;\n", + "Epoch 190/1000, Cost: 5.1337\n", + " and the parameters are [-2.00198442 2.8315569 ] -3.544646154937754 ;\n", + "Epoch 190/1000, Cost: 3.1657\n", + " and the parameters are [-2.00195523 2.83170416] -3.5446207424390233 ;\n", + "Epoch 190/1000, Cost: 3.8561\n", + " and the parameters are [-2.00199378 2.83189721] -3.5445232431222533 ;\n", + "Epoch 190/1000, Cost: 4.8623\n", + " and the parameters are [-2.00199537 2.83187818] -3.5446002863921837 ;\n", + "Epoch 190/1000, Cost: 3.5275\n", + " and the parameters are [-2.00198154 2.83192259] -3.544635197497687 ;\n", + "Epoch 190/1000, Cost: 4.1082\n", + " and the parameters are [-2.0019764 2.83198067] -3.5446631689506587 ;\n", + "Epoch 190/1000, Cost: 3.3128\n", + " and the parameters are [-2.00198159 2.83198375] -3.5447089298634116 ;\n", + "Epoch 190/1000, Cost: 7.9986\n", + " and the parameters are [-2.00199156 2.83191748] -3.5447861613428087 ;\n", + "Epoch 190/1000, Cost: 6.4434\n", + " and the parameters are [-2.00204213 2.83198807] -3.544785157003432 ;\n", + "Epoch 190/1000, Cost: 8.0418\n", + " and the parameters are [-2.00207325 2.83185335] -3.5449225363706245 ;\n", + "Epoch 190/1000, Cost: 6.2525\n", + " and the parameters are [-2.00209896 2.83183082] -3.5449679233092732 ;\n", + "Epoch 190/1000, Cost: 3.8471\n", + " and the parameters are [-2.00212612 2.83193425] -3.5449129788371203 ;\n", + "Epoch 190/1000, Cost: 3.0762\n", + " and the parameters are [-2.00215073 2.83201553] -3.544898431237316 ;\n", + "Epoch 190/1000, Cost: 3.5026\n", + " and the parameters are [-2.00217652 2.83215659] -3.5448478900546077 ;\n", + "Epoch 190/1000, Cost: 4.1380\n", + " and the parameters are [-2.00223882 2.83219689] -3.5448678652836745 ;\n", + "Epoch 190/1000, Cost: 3.9517\n", + " and the parameters are [-2.00232034 2.83214069] -3.544932624863161 ;\n", + "Epoch 190/1000, Cost: 5.1178\n", + " and the parameters are [-2.00241235 2.83214928] -3.5449199776070928 ;\n", + "Epoch 190/1000, Cost: 3.5482\n", + " and the parameters are [-2.00247042 2.83221133] -3.5449116722808065 ;\n", + "Epoch 190/1000, Cost: 3.0161\n", + " and the parameters are [-2.00245268 2.83222283] -3.544977809758392 ;\n", + "Epoch 190/1000, Cost: 4.1274\n", + " and the parameters are [-2.00249436 2.8321937 ] -3.545039777908389 ;\n", + "Epoch 190/1000, Cost: 4.4992\n", + " and the parameters are [-2.00249451 2.83226677] -3.545048938982237 ;\n", + "Epoch 190/1000, Cost: 3.1878\n", + " and the parameters are [-2.00246817 2.83235013] -3.5450732606155775 ;\n", + "Epoch 190/1000, Cost: 4.7207\n", + " and the parameters are [-2.00248072 2.83228049] -3.5451995336161017 ;\n", + "Epoch 190/1000, Cost: 6.9062\n", + " and the parameters are [-2.00254546 2.83221708] -3.5452847558147758 ;\n", + "Epoch 190/1000, Cost: 4.1573\n", + " and the parameters are [-2.00260183 2.8322873 ] -3.54526814473812 ;\n", + "Epoch 190/1000, Cost: 3.3198\n", + " and the parameters are [-2.00258419 2.83244848] -3.5452243216906885 ;\n", + "Epoch 190/1000, Cost: 4.0730\n", + " and the parameters are [-2.00258502 2.83251405] -3.545240559048329 ;\n", + "Epoch 190/1000, Cost: 4.5689\n", + " and the parameters are [-2.00265314 2.83252125] -3.5452641583375497 ;\n", + "Epoch 190/1000, Cost: 3.1714\n", + " and the parameters are [-2.00269819 2.83259959] -3.5452366946060145 ;\n", + "Epoch 190/1000, Cost: 4.5818\n", + " and the parameters are [-2.00276673 2.83277776] -3.5451346583732892 ;\n", + "Epoch 190/1000, Cost: 3.2779\n", + " and the parameters are [-2.00279398 2.8327364 ] -3.5452348212926075 ;\n", + "Epoch 190/1000, Cost: 3.7381\n", + " and the parameters are [-2.0029063 2.83270015] -3.545267181155315 ;\n", + "Epoch 190/1000, Cost: 4.7008\n", + " and the parameters are [-2.00294757 2.83265617] -3.5453418255809614 ;\n", + "Epoch 190/1000, Cost: 2.4617\n", + " and the parameters are [-2.00298486 2.83267049] -3.5453753520342066 ;\n", + "Epoch 190/1000, Cost: 6.7185\n", + " and the parameters are [-2.00296808 2.83260951] -3.5454501243260164 ;\n", + "Epoch 190/1000, Cost: 2.8606\n", + " and the parameters are [-2.00300202 2.83255108] -3.5455390728784004 ;\n", + "Epoch 190/1000, Cost: 4.5456\n", + " and the parameters are [-2.00299552 2.83254994] -3.545593490444662 ;\n", + "Epoch 190/1000, Cost: 3.0172\n", + " and the parameters are [-2.0029814 2.83259263] -3.5456297197788147 ;\n", + "Epoch 190/1000, Cost: 3.9331\n", + " and the parameters are [-2.00299712 2.83265221] -3.545646029178688 ;\n", + "Epoch 190/1000, Cost: 7.5290\n", + " and the parameters are [-2.003042 2.83251004] -3.5457857484971615 ;\n", + "Epoch 190/1000, Cost: 7.1999\n", + " and the parameters are [-2.00299358 2.83261119] -3.5457614701978413 ;\n", + "Epoch 190/1000, Cost: 2.6969\n", + " and the parameters are [-2.00298989 2.83276283] -3.5457113167958063 ;\n", + "Epoch 190/1000, Cost: 4.8236\n", + " and the parameters are [-2.00309549 2.83271743] -3.545765738646233 ;\n", + "Epoch 190/1000, Cost: 3.0334\n", + " and the parameters are [-2.00311467 2.83275467] -3.5457988848026063 ;\n", + "Epoch 190/1000, Cost: 6.1089\n", + " and the parameters are [-2.00311608 2.83270049] -3.5458916756629706 ;\n", + "Epoch 190/1000, Cost: 4.1056\n", + " and the parameters are [-2.00314633 2.8327535 ] -3.5459009075260597 ;\n", + "Epoch 190/1000, Cost: 5.9116\n", + " and the parameters are [-2.0030525 2.8329096] -3.545870561296091 ;\n", + "Epoch 190/1000, Cost: 5.7039\n", + " and the parameters are [-2.00303558 2.83287612] -3.5459997617823307 ;\n", + "Epoch 190/1000, Cost: 2.5236\n", + " and the parameters are [-2.00300262 2.83293363] -3.5460502991437686 ;\n", + "Epoch 190/1000, Cost: 5.5760\n", + " and the parameters are [-2.00301953 2.83284816] -3.5461575984245597 ;\n", + "Epoch 190/1000, Cost: 3.5579\n", + " and the parameters are [-2.00300044 2.83293466] -3.54617058005803 ;\n", + "Epoch 190/1000, Cost: 3.8671\n", + " and the parameters are [-2.00298204 2.83298754] -3.5462075504214687 ;\n", + "Epoch 190/1000, Cost: 5.5696\n", + " and the parameters are [-2.00310336 2.83277261] -3.5463686921420408 ;\n", + "Epoch 190/1000, Cost: 4.4191\n", + " and the parameters are [-2.00314035 2.83278848] -3.5464050780337075 ;\n", + "Epoch 190/1000, Cost: 3.6099\n", + " and the parameters are [-2.00312188 2.83275909] -3.546492420394262 ;\n", + "Epoch 190/1000, Cost: 4.6419\n", + " and the parameters are [-2.00311587 2.83268964] -3.5466239341111465 ;\n", + "Epoch 190/1000, Cost: 2.6152\n", + " and the parameters are [-2.00312557 2.83267727] -3.546692050145341 ;\n", + "Epoch 190/1000, Cost: 2.8047\n", + " and the parameters are [-2.00317486 2.83265559] -3.5467400734444827 ;\n", + "Epoch 190/1000, Cost: 2.4085\n", + " and the parameters are [-2.00319979 2.83275651] -3.546724585470063 ;\n", + "Epoch 190/1000, Cost: 4.3505\n", + " and the parameters are [-2.00315769 2.83284401] -3.5467503111614946 ;\n", + "Epoch 190/1000, Cost: 3.6527\n", + " and the parameters are [-2.00324324 2.83275491] -3.546852612473951 ;\n", + "Epoch 190/1000, Cost: 3.9924\n", + " and the parameters are [-2.00327178 2.83271666] -3.546946000426935 ;\n", + "Epoch 190/1000, Cost: 4.0700\n", + " and the parameters are [-2.003335 2.83273014] -3.5469740211272613 ;\n", + "Epoch 190/1000, Cost: 6.4719\n", + " and the parameters are [-2.00330143 2.83291835] -3.5469120595253965 ;\n", + "Epoch 190/1000, Cost: 4.1869\n", + " and the parameters are [-2.00332322 2.83293756] -3.5469454069575392 ;\n", + "Epoch 190/1000, Cost: 3.2421\n", + " and the parameters are [-2.00335558 2.83298477] -3.546972729598554 ;\n", + "Epoch 190/1000, Cost: 3.8719\n", + " and the parameters are [-2.00343757 2.83293737] -3.547026060636627 ;\n", + "Epoch 190/1000, Cost: 1.9186\n", + " and the parameters are [-2.00344196 2.83305095] -3.5469895573103822 ;\n", + "Epoch 190/1000, Cost: 5.8946\n", + " and the parameters are [-2.00347737 2.83313731] -3.546966286951434 ;\n", + "Epoch 190/1000, Cost: 2.1481\n", + " and the parameters are [-2.00348637 2.83323887] -3.5469471398274863 ;\n", + "Epoch 190/1000, Cost: 6.4232\n", + " and the parameters are [-2.00366341 2.83302718] -3.5470613208182997 ;\n", + "Epoch 190/1000, Cost: 6.1199\n", + " and the parameters are [-2.00370243 2.83306074] -3.5470371701211842 ;\n", + "Epoch 190/1000, Cost: 2.4365\n", + " and the parameters are [-2.00370144 2.83315208] -3.5470341969814245 ;\n", + "Epoch 190/1000, Cost: 6.8234\n", + " and the parameters are [-2.00365787 2.83309354] -3.547160320860946 ;\n", + "Epoch 190/1000, Cost: 3.8061\n", + " and the parameters are [-2.0037002 2.83306631] -3.5472269769404106 ;\n", + "Epoch 190/1000, Cost: 4.6020\n", + " and the parameters are [-2.00370417 2.83303213] -3.547325817535255 ;\n", + "Epoch 190/1000, Cost: 4.3890\n", + " and the parameters are [-2.00382043 2.83296717] -3.5473701970398928 ;\n", + "Epoch 190/1000, Cost: 3.9043\n", + " and the parameters are [-2.00389865 2.83294542] -3.5474190119126128 ;\n", + "Epoch 190/1000, Cost: 5.2269\n", + " and the parameters are [-2.00383325 2.83294542] -3.547508698439532 ;\n", + "Epoch 190/1000, Cost: 3.0874\n", + " and the parameters are [-2.00386 2.83297514] -3.5475443192512977 ;\n", + "Epoch 190/1000, Cost: 2.0840\n", + " and the parameters are [-2.00387966 2.8329973 ] -3.547576754222368 ;\n", + "Epoch 190/1000, Cost: 2.6156\n", + " and the parameters are [-2.00387728 2.8330564 ] -3.547601869156417 ;\n", + "Epoch 190/1000, Cost: 5.2067\n", + " and the parameters are [-2.00392095 2.83302819] -3.547673206027113 ;\n", + "Epoch 190/1000, Cost: 3.4712\n", + " and the parameters are [-2.00386734 2.83315485] -3.5476847776628233 ;\n", + "Epoch 190/1000, Cost: 3.6216\n", + " and the parameters are [-2.00382794 2.83327644] -3.547667796430811 ;\n", + "Epoch 190/1000, Cost: 5.6221\n", + " and the parameters are [-2.00371858 2.83331643] -3.547764117076076 ;\n", + "Epoch 190/1000, Cost: 3.7070\n", + " and the parameters are [-2.00370425 2.83335447] -3.547809447283178 ;\n", + "Epoch 190/1000, Cost: 5.8845\n", + " and the parameters are [-2.00371232 2.83334419] -3.547862867381968 ;\n", + "Epoch 190/1000, Cost: 6.9952\n", + " and the parameters are [-2.00368843 2.83333929] -3.547919868978977 ;\n", + "Epoch 190/1000, Cost: 6.9646\n", + " and the parameters are [-2.00383471 2.83317523] -3.547993300828986 ;\n", + "Epoch 190/1000, Cost: 3.5647\n", + " and the parameters are [-2.00387324 2.83326351] -3.5479717856670665 ;\n", + "Epoch 190/1000, Cost: 3.0151\n", + " and the parameters are [-2.00388482 2.83326254] -3.5480355279078606 ;\n", + "Epoch 190/1000, Cost: 4.9951\n", + " and the parameters are [-2.00388413 2.83328298] -3.548110022115244 ;\n", + "Epoch 190/1000, Cost: 3.8636\n", + " and the parameters are [-2.00389595 2.83329568] -3.548142212964809 ;\n", + "Epoch 190/1000, Cost: 6.1969\n", + " and the parameters are [-2.00390178 2.83332083] -3.548187168464278 ;\n", + "Epoch 190/1000, Cost: 4.4125\n", + " and the parameters are [-2.00400579 2.83323491] -3.548259618861346 ;\n", + "Epoch 190/1000, Cost: 9.1122\n", + " and the parameters are [-2.00400623 2.83315296] -3.5483722490845313 ;\n", + "Epoch 190/1000, Cost: 1.8638\n", + " and the parameters are [-2.00404773 2.83317632] -3.548392298376132 ;\n", + "Epoch 190/1000, Cost: 5.1099\n", + " and the parameters are [-2.00405872 2.83321644] -3.5484246138541975 ;\n", + "Epoch 190/1000, Cost: 7.2757\n", + " and the parameters are [-2.00408845 2.83320663] -3.548470379921089 ;\n", + "Epoch 190/1000, Cost: 3.5028\n", + " and the parameters are [-2.00410782 2.83322509] -3.5484991369685193 ;\n", + "Epoch 190/1000, Cost: 2.7444\n", + " and the parameters are [-2.0041074 2.8332913] -3.54852537645553 ;\n", + "Epoch 190/1000, Cost: 4.4736\n", + " and the parameters are [-2.00411469 2.83327983] -3.5486265356455173 ;\n", + "Epoch 190/1000, Cost: 2.9742\n", + " and the parameters are [-2.00408842 2.8333819 ] -3.548626242317596 ;\n", + "Epoch 200/1000, Cost: 3.1858\n", + " and the parameters are [-2.03787114 2.87394945] -3.608650330436447 ;\n", + "Epoch 200/1000, Cost: 4.7541\n", + " and the parameters are [-2.0378637 2.87388575] -3.608776561866202 ;\n", + "Epoch 200/1000, Cost: 3.8989\n", + " and the parameters are [-2.03783368 2.87401966] -3.6087616049856637 ;\n", + "Epoch 200/1000, Cost: 5.7926\n", + " and the parameters are [-2.03776881 2.87402613] -3.6088339027862557 ;\n", + "Epoch 200/1000, Cost: 5.7658\n", + " and the parameters are [-2.03775073 2.87401387] -3.6089256499017344 ;\n", + "Epoch 200/1000, Cost: 3.8143\n", + " and the parameters are [-2.03775334 2.87418505] -3.6088488645481864 ;\n", + "Epoch 200/1000, Cost: 5.5760\n", + " and the parameters are [-2.03790664 2.8739373 ] -3.609019220591113 ;\n", + "Epoch 200/1000, Cost: 1.5969\n", + " and the parameters are [-2.03793356 2.87397747] -3.6090231298787607 ;\n", + "Epoch 200/1000, Cost: 2.3295\n", + " and the parameters are [-2.03796144 2.87401239] -3.6090443036758955 ;\n", + "Epoch 200/1000, Cost: 4.4284\n", + " and the parameters are [-2.03802349 2.87392477] -3.6091378896251545 ;\n", + "Epoch 200/1000, Cost: 3.0196\n", + " and the parameters are [-2.03805027 2.87405567] -3.6090929831932144 ;\n", + "Epoch 200/1000, Cost: 3.7468\n", + " and the parameters are [-2.03809186 2.87398332] -3.6091808484702854 ;\n", + "Epoch 200/1000, Cost: 3.9017\n", + " and the parameters are [-2.03820013 2.8740127 ] -3.609174643127705 ;\n", + "Epoch 200/1000, Cost: 3.6217\n", + " and the parameters are [-2.03818758 2.87417469] -3.6091126496345383 ;\n", + "Epoch 200/1000, Cost: 4.9415\n", + " and the parameters are [-2.03828726 2.87410202] -3.609177087038513 ;\n", + "Epoch 200/1000, Cost: 3.1149\n", + " and the parameters are [-2.03833646 2.87405746] -3.6092554871800373 ;\n", + "Epoch 200/1000, Cost: 6.3023\n", + " and the parameters are [-2.03832194 2.87407247] -3.609281052811409 ;\n", + "Epoch 200/1000, Cost: 5.8674\n", + " and the parameters are [-2.03829892 2.87395039] -3.60943603122272 ;\n", + "Epoch 200/1000, Cost: 8.3585\n", + " and the parameters are [-2.03826737 2.8738947 ] -3.6094727907534643 ;\n", + "Epoch 200/1000, Cost: 5.1531\n", + " and the parameters are [-2.0383342 2.87397104] -3.609431523915283 ;\n", + "Epoch 200/1000, Cost: 3.9015\n", + " and the parameters are [-2.03842325 2.87384268] -3.6095454183203413 ;\n", + "Epoch 200/1000, Cost: 4.8959\n", + " and the parameters are [-2.03835647 2.87393769] -3.6095594722462536 ;\n", + "Epoch 200/1000, Cost: 2.4595\n", + " and the parameters are [-2.03834707 2.87398379] -3.609590598423806 ;\n", + "Epoch 200/1000, Cost: 3.9942\n", + " and the parameters are [-2.03832551 2.87391771] -3.609704253517469 ;\n", + "Epoch 200/1000, Cost: 5.2467\n", + " and the parameters are [-2.03833954 2.87395759] -3.609710827721168 ;\n", + "Epoch 200/1000, Cost: 5.1055\n", + " and the parameters are [-2.03843742 2.87393363] -3.6097347223341534 ;\n", + "Epoch 200/1000, Cost: 3.6545\n", + " and the parameters are [-2.03853971 2.87384658] -3.6098019866751914 ;\n", + "Epoch 200/1000, Cost: 6.4536\n", + " and the parameters are [-2.03859532 2.8738796 ] -3.6097990730419336 ;\n", + "Epoch 200/1000, Cost: 2.6283\n", + " and the parameters are [-2.03864988 2.87387243] -3.6098433511654275 ;\n", + "Epoch 200/1000, Cost: 5.6668\n", + " and the parameters are [-2.03865151 2.8738115 ] -3.609954794541834 ;\n", + "Epoch 200/1000, Cost: 2.6026\n", + " and the parameters are [-2.03865257 2.8738768 ] -3.6099721161764933 ;\n", + "Epoch 200/1000, Cost: 3.8827\n", + " and the parameters are [-2.0386943 2.87389989] -3.6099957576886172 ;\n", + "Epoch 200/1000, Cost: 4.1106\n", + " and the parameters are [-2.03878386 2.87390073] -3.6100185466711783 ;\n", + "Epoch 200/1000, Cost: 3.5001\n", + " and the parameters are [-2.03878194 2.87391908] -3.6100479347630534 ;\n", + "Epoch 200/1000, Cost: 3.6973\n", + " and the parameters are [-2.03877071 2.8739907 ] -3.6100668440590242 ;\n", + "Epoch 200/1000, Cost: 3.6550\n", + " and the parameters are [-2.03881553 2.87398234] -3.610111094520546 ;\n", + "Epoch 200/1000, Cost: 3.3341\n", + " and the parameters are [-2.03882675 2.87400521] -3.610162256581674 ;\n", + "Epoch 200/1000, Cost: 4.1361\n", + " and the parameters are [-2.03877874 2.87410561] -3.610189879522136 ;\n", + "Epoch 200/1000, Cost: 5.5243\n", + " and the parameters are [-2.03890803 2.87395947] -3.6102631140202037 ;\n", + "Epoch 200/1000, Cost: 4.6170\n", + " and the parameters are [-2.03885757 2.87401194] -3.610317860242679 ;\n", + "Epoch 200/1000, Cost: 6.5085\n", + " and the parameters are [-2.0388452 2.87399515] -3.610411680315703 ;\n", + "Epoch 200/1000, Cost: 3.2482\n", + " and the parameters are [-2.03892617 2.87405086] -3.6103736751259716 ;\n", + "Epoch 200/1000, Cost: 2.7338\n", + " and the parameters are [-2.03887827 2.87410238] -3.6104343073339193 ;\n", + "Epoch 200/1000, Cost: 4.4954\n", + " and the parameters are [-2.03902803 2.87410587] -3.610395417186326 ;\n", + "Epoch 200/1000, Cost: 8.0272\n", + " and the parameters are [-2.03913382 2.87389467] -3.610537538747015 ;\n", + "Epoch 200/1000, Cost: 3.8711\n", + " and the parameters are [-2.03908267 2.87389871] -3.610650026635086 ;\n", + "Epoch 200/1000, Cost: 5.3189\n", + " and the parameters are [-2.03903915 2.87404777] -3.6106225518499264 ;\n", + "Epoch 200/1000, Cost: 4.0328\n", + " and the parameters are [-2.03910646 2.87404404] -3.610678856860441 ;\n", + "Epoch 200/1000, Cost: 3.8437\n", + " and the parameters are [-2.03910458 2.87404005] -3.6107482207801738 ;\n", + "Epoch 200/1000, Cost: 3.9789\n", + " and the parameters are [-2.0391444 2.87415226] -3.610713215977893 ;\n", + "Epoch 200/1000, Cost: 3.8736\n", + " and the parameters are [-2.03916395 2.87420042] -3.61074196193901 ;\n", + "Epoch 200/1000, Cost: 4.4323\n", + " and the parameters are [-2.03921822 2.87423449] -3.610750196291967 ;\n", + "Epoch 200/1000, Cost: 2.7012\n", + " and the parameters are [-2.03921062 2.87431796] -3.6107594851438325 ;\n", + "Epoch 200/1000, Cost: 3.1287\n", + " and the parameters are [-2.03923123 2.87445235] -3.6107121838105334 ;\n", + "Epoch 200/1000, Cost: 6.2992\n", + " and the parameters are [-2.03919687 2.87437972] -3.61081785489715 ;\n", + "Epoch 200/1000, Cost: 6.0008\n", + " and the parameters are [-2.03928026 2.87421465] -3.610964187179366 ;\n", + "Epoch 200/1000, Cost: 4.4304\n", + " and the parameters are [-2.03922715 2.8742827 ] -3.610996278121298 ;\n", + "Epoch 200/1000, Cost: 3.1866\n", + " and the parameters are [-2.03923038 2.8743911 ] -3.6109488671365364 ;\n", + "Epoch 200/1000, Cost: 3.3402\n", + " and the parameters are [-2.03927811 2.87448069] -3.610919530662479 ;\n", + "Epoch 200/1000, Cost: 3.2474\n", + " and the parameters are [-2.0393371 2.87453039] -3.6109051175650118 ;\n", + "Epoch 200/1000, Cost: 3.5459\n", + " and the parameters are [-2.0393583 2.87458439] -3.6109336220808412 ;\n", + "Epoch 200/1000, Cost: 3.5769\n", + " and the parameters are [-2.03939504 2.8745874 ] -3.610984623376973 ;\n", + "Epoch 200/1000, Cost: 4.7166\n", + " and the parameters are [-2.03946346 2.87460031] -3.6110106816011314 ;\n", + "Epoch 200/1000, Cost: 4.6348\n", + " and the parameters are [-2.03953087 2.87464322] -3.6109935108917646 ;\n", + "Epoch 200/1000, Cost: 4.4718\n", + " and the parameters are [-2.03957705 2.87471269] -3.6109863966422626 ;\n", + "Epoch 200/1000, Cost: 5.1477\n", + " and the parameters are [-2.03961972 2.87475134] -3.6109635937422304 ;\n", + "Epoch 200/1000, Cost: 3.7200\n", + " and the parameters are [-2.03965867 2.87485137] -3.6109248076651324 ;\n", + "Epoch 200/1000, Cost: 4.6952\n", + " and the parameters are [-2.03966473 2.87490618] -3.6109426617310754 ;\n", + "Epoch 200/1000, Cost: 7.9141\n", + " and the parameters are [-2.03967185 2.87488928] -3.6109876570375996 ;\n", + "Epoch 200/1000, Cost: 6.3520\n", + " and the parameters are [-2.03970538 2.87486245] -3.6110365028984424 ;\n", + "Epoch 200/1000, Cost: 6.4743\n", + " and the parameters are [-2.03970836 2.87487093] -3.6110965085160274 ;\n", + "Epoch 200/1000, Cost: 5.4053\n", + " and the parameters are [-2.03975839 2.87489094] -3.6111195826418316 ;\n", + "Epoch 200/1000, Cost: 3.4898\n", + " and the parameters are [-2.0397917 2.87491596] -3.6111353727009403 ;\n", + "Epoch 200/1000, Cost: 3.4637\n", + " and the parameters are [-2.03974512 2.87495792] -3.6111843559614156 ;\n", + "Epoch 200/1000, Cost: 4.0437\n", + " and the parameters are [-2.03972499 2.87506483] -3.611174794512225 ;\n", + "Epoch 200/1000, Cost: 7.3601\n", + " and the parameters are [-2.03980242 2.87501452] -3.611202292664495 ;\n", + "Epoch 200/1000, Cost: 4.8937\n", + " and the parameters are [-2.03967325 2.87509896] -3.6112497375324617 ;\n", + "Epoch 200/1000, Cost: 3.3583\n", + " and the parameters are [-2.03970722 2.87508991] -3.6112889601406404 ;\n", + "Epoch 200/1000, Cost: 2.5616\n", + " and the parameters are [-2.03967364 2.87524287] -3.6112543091865525 ;\n", + "Epoch 200/1000, Cost: 3.0924\n", + " and the parameters are [-2.03968614 2.87524495] -3.611305528818263 ;\n", + "Epoch 200/1000, Cost: 7.3039\n", + " and the parameters are [-2.03973922 2.8750383 ] -3.611479026665521 ;\n", + "Epoch 200/1000, Cost: 4.1526\n", + " and the parameters are [-2.03967231 2.87507249] -3.611561501343994 ;\n", + "Epoch 200/1000, Cost: 3.8283\n", + " and the parameters are [-2.03969045 2.87518519] -3.611523153315584 ;\n", + "Epoch 200/1000, Cost: 4.1101\n", + " and the parameters are [-2.03973602 2.87520045] -3.6115469148815293 ;\n", + "Epoch 200/1000, Cost: 2.0732\n", + " and the parameters are [-2.03973748 2.87526577] -3.6115590739200085 ;\n", + "Epoch 200/1000, Cost: 3.7326\n", + " and the parameters are [-2.03970293 2.8752901 ] -3.611629460414289 ;\n", + "Epoch 200/1000, Cost: 3.0760\n", + " and the parameters are [-2.0397343 2.87527719] -3.6117008353808484 ;\n", + "Epoch 200/1000, Cost: 3.9611\n", + " and the parameters are [-2.03972049 2.87530775] -3.611748148883464 ;\n", + "Epoch 200/1000, Cost: 4.5246\n", + " and the parameters are [-2.03960492 2.87535774] -3.611828935007151 ;\n", + "Epoch 200/1000, Cost: 2.7222\n", + " and the parameters are [-2.03960671 2.87543321] -3.6118289128126984 ;\n", + "Epoch 200/1000, Cost: 6.2192\n", + " and the parameters are [-2.03975838 2.87521668] -3.611978412381376 ;\n", + "Epoch 200/1000, Cost: 3.8338\n", + " and the parameters are [-2.03974106 2.8752357 ] -3.612030976823073 ;\n", + "Epoch 200/1000, Cost: 5.3457\n", + " and the parameters are [-2.03977563 2.87528065] -3.612056098494042 ;\n", + "Epoch 200/1000, Cost: 2.5203\n", + " and the parameters are [-2.03987249 2.87524446] -3.612096281072069 ;\n", + "Epoch 200/1000, Cost: 4.2281\n", + " and the parameters are [-2.03995228 2.8752018 ] -3.612163598852851 ;\n", + "Epoch 200/1000, Cost: 2.6721\n", + " and the parameters are [-2.03996744 2.87520162] -3.612222889187817 ;\n", + "Epoch 200/1000, Cost: 2.8296\n", + " and the parameters are [-2.03994816 2.8752607 ] -3.612257294630605 ;\n", + "Epoch 200/1000, Cost: 4.6703\n", + " and the parameters are [-2.03990377 2.87540086] -3.6122523721036615 ;\n", + "Epoch 200/1000, Cost: 3.9550\n", + " and the parameters are [-2.03989237 2.87551103] -3.6122244986158316 ;\n", + "Epoch 200/1000, Cost: 3.7341\n", + " and the parameters are [-2.03989801 2.87559506] -3.6122037162367806 ;\n", + "Epoch 200/1000, Cost: 3.1176\n", + " and the parameters are [-2.03997354 2.87556281] -3.612262713473584 ;\n", + "Epoch 200/1000, Cost: 3.6397\n", + " and the parameters are [-2.03998719 2.87561969] -3.612276687312825 ;\n", + "Epoch 200/1000, Cost: 4.1810\n", + " and the parameters are [-2.03993757 2.87577558] -3.6122476617129293 ;\n", + "Epoch 200/1000, Cost: 4.6683\n", + " and the parameters are [-2.03996787 2.87581131] -3.6122710470960198 ;\n", + "Epoch 200/1000, Cost: 4.5377\n", + " and the parameters are [-2.03996809 2.87591414] -3.612264825948103 ;\n", + "Epoch 200/1000, Cost: 4.7367\n", + " and the parameters are [-2.0400444 2.87593557] -3.612263539500529 ;\n", + "Epoch 200/1000, Cost: 6.4529\n", + " and the parameters are [-2.04017227 2.87576446] -3.6123952288972823 ;\n", + "Epoch 200/1000, Cost: 3.0906\n", + " and the parameters are [-2.04023939 2.87585476] -3.612352834519187 ;\n", + "Epoch 200/1000, Cost: 3.7553\n", + " and the parameters are [-2.04025884 2.87582545] -3.612446431903774 ;\n", + "Epoch 200/1000, Cost: 4.8864\n", + " and the parameters are [-2.04022674 2.87594729] -3.6124306225065137 ;\n", + "Epoch 200/1000, Cost: 5.0928\n", + " and the parameters are [-2.04020481 2.8760657 ] -3.612405093712755 ;\n", + "Epoch 200/1000, Cost: 3.4536\n", + " and the parameters are [-2.04016217 2.87614987] -3.6124277227012147 ;\n", + "Epoch 200/1000, Cost: 3.1659\n", + " and the parameters are [-2.04011239 2.87629277] -3.612410547553322 ;\n", + "Epoch 200/1000, Cost: 5.2126\n", + " and the parameters are [-2.0401816 2.87616016] -3.612536821172228 ;\n", + "Epoch 200/1000, Cost: 2.6585\n", + " and the parameters are [-2.04017804 2.87622209] -3.6125154335156604 ;\n", + "Epoch 200/1000, Cost: 1.9004\n", + " and the parameters are [-2.04017368 2.87625213] -3.6125450310687173 ;\n", + "Epoch 200/1000, Cost: 3.4062\n", + " and the parameters are [-2.04012786 2.87638191] -3.6125438772185126 ;\n", + "Epoch 200/1000, Cost: 3.0249\n", + " and the parameters are [-2.04011586 2.87641598] -3.612586476100566 ;\n", + "Epoch 200/1000, Cost: 5.3314\n", + " and the parameters are [-2.04012632 2.87659062] -3.612506420899788 ;\n", + "Epoch 200/1000, Cost: 7.4834\n", + " and the parameters are [-2.04022662 2.87636084] -3.612649389664299 ;\n", + "Epoch 200/1000, Cost: 4.2043\n", + " and the parameters are [-2.04022693 2.87634788] -3.612712208651318 ;\n", + "Epoch 200/1000, Cost: 3.5617\n", + " and the parameters are [-2.04028352 2.87630066] -3.6127790207961086 ;\n", + "Epoch 200/1000, Cost: 4.6179\n", + " and the parameters are [-2.04037459 2.87628651] -3.612812632113755 ;\n", + "Epoch 200/1000, Cost: 3.5762\n", + " and the parameters are [-2.04040584 2.87637513] -3.6128016498073467 ;\n", + "Epoch 200/1000, Cost: 4.0179\n", + " and the parameters are [-2.04039825 2.87635229] -3.6128832533298425 ;\n", + "Epoch 200/1000, Cost: 2.9772\n", + " and the parameters are [-2.04040298 2.87633311] -3.612952496528027 ;\n", + "Epoch 200/1000, Cost: 5.4226\n", + " and the parameters are [-2.04047566 2.87641862] -3.6129157292655987 ;\n", + "Epoch 200/1000, Cost: 3.4869\n", + " and the parameters are [-2.04040141 2.87649097] -3.6129605695245517 ;\n", + "Epoch 200/1000, Cost: 5.0095\n", + " and the parameters are [-2.04044556 2.87658599] -3.6128910277362265 ;\n", + "Epoch 200/1000, Cost: 1.9005\n", + " and the parameters are [-2.04041743 2.87666951] -3.612908935578942 ;\n", + "Epoch 200/1000, Cost: 5.0682\n", + " and the parameters are [-2.04038535 2.87658181] -3.6130406625587734 ;\n", + "Epoch 200/1000, Cost: 2.9951\n", + " and the parameters are [-2.04043832 2.87665642] -3.6130147166098627 ;\n", + "Epoch 200/1000, Cost: 4.6375\n", + " and the parameters are [-2.04042102 2.87667243] -3.6130929976724047 ;\n", + "Epoch 200/1000, Cost: 4.3315\n", + " and the parameters are [-2.04040029 2.876727 ] -3.61313097834022 ;\n", + "Epoch 200/1000, Cost: 4.3334\n", + " and the parameters are [-2.04039651 2.87667445] -3.6132369242728366 ;\n", + "Epoch 200/1000, Cost: 2.6019\n", + " and the parameters are [-2.04039979 2.87673824] -3.613259713541917 ;\n", + "Epoch 200/1000, Cost: 4.3798\n", + " and the parameters are [-2.04050314 2.87662149] -3.6133408269177063 ;\n", + "Epoch 200/1000, Cost: 4.3101\n", + " and the parameters are [-2.04046538 2.87669595] -3.6133649638208816 ;\n", + "Epoch 200/1000, Cost: 3.6316\n", + " and the parameters are [-2.04057669 2.87671896] -3.61333392987825 ;\n", + "Epoch 200/1000, Cost: 4.9137\n", + " and the parameters are [-2.04068819 2.8766341 ] -3.613390495635032 ;\n", + "Epoch 200/1000, Cost: 4.1796\n", + " and the parameters are [-2.04072621 2.87670471] -3.6133670006037018 ;\n", + "Epoch 200/1000, Cost: 3.2421\n", + " and the parameters are [-2.04073191 2.87673995] -3.613401354700896 ;\n", + "Epoch 200/1000, Cost: 4.9416\n", + " and the parameters are [-2.04078171 2.87672913] -3.613441991509792 ;\n", + "Epoch 200/1000, Cost: 3.6455\n", + " and the parameters are [-2.04081794 2.87673396] -3.6134931299719164 ;\n", + "Epoch 200/1000, Cost: 4.1348\n", + " and the parameters are [-2.04079531 2.87680587] -3.613514850554604 ;\n", + "Epoch 200/1000, Cost: 5.3888\n", + " and the parameters are [-2.04075584 2.8769281 ] -3.613502286178953 ;\n", + "Epoch 200/1000, Cost: 4.7497\n", + " and the parameters are [-2.04080772 2.87683502] -3.6136118846675904 ;\n", + "Epoch 200/1000, Cost: 3.4957\n", + " and the parameters are [-2.04077629 2.87688919] -3.6136509548995086 ;\n", + "Epoch 200/1000, Cost: 3.4084\n", + " and the parameters are [-2.04077533 2.8769487 ] -3.61367505504258 ;\n", + "Epoch 200/1000, Cost: 6.3511\n", + " and the parameters are [-2.04077108 2.87690356] -3.6137602330113685 ;\n", + "Epoch 200/1000, Cost: 3.4944\n", + " and the parameters are [-2.04077726 2.87696772] -3.6137842210491398 ;\n", + "Epoch 200/1000, Cost: 4.3145\n", + " and the parameters are [-2.04074688 2.8769753 ] -3.613854444338527 ;\n", + "Epoch 200/1000, Cost: 3.8550\n", + " and the parameters are [-2.04075683 2.87706995] -3.613849867662752 ;\n", + "Epoch 200/1000, Cost: 2.9755\n", + " and the parameters are [-2.04078585 2.87707156] -3.613906037741834 ;\n", + "Epoch 200/1000, Cost: 2.8498\n", + " and the parameters are [-2.04079054 2.87709457] -3.6139586930944243 ;\n", + "Epoch 200/1000, Cost: 3.8852\n", + " and the parameters are [-2.04077161 2.87719536] -3.613953174986317 ;\n", + "Epoch 200/1000, Cost: 4.8540\n", + " and the parameters are [-2.0407931 2.87723958] -3.6139749059108253 ;\n", + "Epoch 200/1000, Cost: 2.9035\n", + " and the parameters are [-2.04083349 2.87729331] -3.613963502722815 ;\n", + "Epoch 200/1000, Cost: 4.7472\n", + " and the parameters are [-2.04080975 2.87723294] -3.614074579532313 ;\n", + "Epoch 200/1000, Cost: 6.3308\n", + " and the parameters are [-2.04088675 2.87736255] -3.6140012930676306 ;\n", + "Epoch 200/1000, Cost: 3.3193\n", + " and the parameters are [-2.04088917 2.87743316] -3.6140115592845374 ;\n", + "Epoch 200/1000, Cost: 2.3721\n", + " and the parameters are [-2.04088542 2.8774953 ] -3.6140320202061753 ;\n", + "Epoch 200/1000, Cost: 6.3320\n", + " and the parameters are [-2.04089897 2.87751553] -3.614042198222746 ;\n", + "Epoch 200/1000, Cost: 5.8439\n", + " and the parameters are [-2.04090161 2.8775175 ] -3.61410054743452 ;\n", + "Epoch 200/1000, Cost: 6.3117\n", + " and the parameters are [-2.04095244 2.87742098] -3.6141677500693365 ;\n", + "Epoch 200/1000, Cost: 2.0347\n", + " and the parameters are [-2.04098539 2.87745192] -3.6141889399655005 ;\n", + "Epoch 200/1000, Cost: 9.6504\n", + " and the parameters are [-2.04114572 2.87721395] -3.6142684154132403 ;\n", + "Epoch 200/1000, Cost: 3.8649\n", + " and the parameters are [-2.04113286 2.87717411] -3.6143630631913934 ;\n", + "Epoch 200/1000, Cost: 3.5197\n", + " and the parameters are [-2.04113655 2.87729079] -3.6143351139446 ;\n", + "Epoch 200/1000, Cost: 3.7871\n", + " and the parameters are [-2.04116762 2.87720366] -3.614433827115841 ;\n", + "Epoch 200/1000, Cost: 4.3965\n", + " and the parameters are [-2.0411081 2.87724852] -3.6144925021110783 ;\n", + "Epoch 200/1000, Cost: 6.4515\n", + " and the parameters are [-2.04102705 2.87728326] -3.614570795237548 ;\n", + "Epoch 200/1000, Cost: 4.9193\n", + " and the parameters are [-2.04113494 2.87718463] -3.6146429232119375 ;\n", + "Epoch 200/1000, Cost: 4.0584\n", + " and the parameters are [-2.04121162 2.8772455 ] -3.61461867502779 ;\n", + "Epoch 200/1000, Cost: 2.8486\n", + " and the parameters are [-2.04127208 2.87723353] -3.614672832908994 ;\n", + "Epoch 200/1000, Cost: 4.6216\n", + " and the parameters are [-2.0412785 2.87737007] -3.6146001213899206 ;\n", + "Epoch 200/1000, Cost: 3.0151\n", + " and the parameters are [-2.04132952 2.87736927] -3.614641663904354 ;\n", + "Epoch 200/1000, Cost: 4.9276\n", + " and the parameters are [-2.04138784 2.87747002] -3.6145721792251826 ;\n", + "Epoch 200/1000, Cost: 3.3156\n", + " and the parameters are [-2.04132789 2.87752952] -3.614618552205642 ;\n", + "Epoch 200/1000, Cost: 2.9457\n", + " and the parameters are [-2.04139309 2.87748346] -3.6146828454702553 ;\n", + "Epoch 200/1000, Cost: 2.8408\n", + " and the parameters are [-2.04142561 2.87744653] -3.6147560948855193 ;\n", + "Epoch 200/1000, Cost: 4.6594\n", + " and the parameters are [-2.04147135 2.87739867] -3.6148202779247813 ;\n", + "Epoch 200/1000, Cost: 6.5214\n", + " and the parameters are [-2.04150562 2.87729488] -3.614911346501168 ;\n", + "Epoch 200/1000, Cost: 4.1786\n", + " and the parameters are [-2.04143866 2.87732903] -3.6149869841391977 ;\n", + "Epoch 200/1000, Cost: 2.3225\n", + " and the parameters are [-2.04143687 2.87742109] -3.6149718449247983 ;\n", + "Epoch 200/1000, Cost: 4.9875\n", + " and the parameters are [-2.04142404 2.87741568] -3.6150554061152245 ;\n", + "Epoch 200/1000, Cost: 6.7560\n", + " and the parameters are [-2.04137997 2.87753274] -3.6150590684209156 ;\n", + "Epoch 200/1000, Cost: 3.6857\n", + " and the parameters are [-2.04140613 2.87763404] -3.61502798558096 ;\n", + "Epoch 200/1000, Cost: 3.7625\n", + " and the parameters are [-2.04132023 2.87769945] -3.615070961437426 ;\n", + "Epoch 200/1000, Cost: 5.1181\n", + " and the parameters are [-2.04140922 2.87779007] -3.6150166245646203 ;\n", + "Epoch 200/1000, Cost: 6.7459\n", + " and the parameters are [-2.04135491 2.87795744] -3.6149583813679054 ;\n", + "Epoch 200/1000, Cost: 4.2122\n", + " and the parameters are [-2.04140211 2.87794668] -3.615021755422031 ;\n", + "Epoch 200/1000, Cost: 4.6054\n", + " and the parameters are [-2.0414099 2.87803839] -3.6150177042598277 ;\n", + "Epoch 200/1000, Cost: 2.5926\n", + " and the parameters are [-2.04144277 2.87807169] -3.61504112266679 ;\n", + "Epoch 200/1000, Cost: 6.1738\n", + " and the parameters are [-2.04139341 2.87829638] -3.614919105617102 ;\n", + "Epoch 200/1000, Cost: 5.4105\n", + " and the parameters are [-2.04136712 2.87826262] -3.6150256745069527 ;\n", + "Epoch 200/1000, Cost: 4.0474\n", + " and the parameters are [-2.04136856 2.87840498] -3.61498282985842 ;\n", + "Epoch 200/1000, Cost: 5.2484\n", + " and the parameters are [-2.04139076 2.87845604] -3.614992707901281 ;\n", + "Epoch 200/1000, Cost: 5.3472\n", + " and the parameters are [-2.04144892 2.87840026] -3.615078549403253 ;\n", + "Epoch 200/1000, Cost: 5.9242\n", + " and the parameters are [-2.04147852 2.87847402] -3.615041187880653 ;\n", + "Epoch 210/1000, Cost: 2.7634\n", + " and the parameters are [-2.07371708 2.91743819] -3.672398162231933 ;\n", + "Epoch 210/1000, Cost: 1.9578\n", + " and the parameters are [-2.07371652 2.91748948] -3.67240493006174 ;\n", + "Epoch 210/1000, Cost: 5.1542\n", + " and the parameters are [-2.07374139 2.91753975] -3.6724065181229215 ;\n", + "Epoch 210/1000, Cost: 4.6417\n", + " and the parameters are [-2.07369217 2.91759506] -3.672436644771295 ;\n", + "Epoch 210/1000, Cost: 3.3357\n", + " and the parameters are [-2.07372353 2.91755519] -3.6725183179189234 ;\n", + "Epoch 210/1000, Cost: 2.6347\n", + " and the parameters are [-2.07374651 2.91753713] -3.6725766444180286 ;\n", + "Epoch 210/1000, Cost: 3.5178\n", + " and the parameters are [-2.07369726 2.91760111] -3.6726246475984516 ;\n", + "Epoch 210/1000, Cost: 2.1117\n", + " and the parameters are [-2.07368747 2.91763704] -3.672659457027123 ;\n", + "Epoch 210/1000, Cost: 3.4190\n", + " and the parameters are [-2.07370738 2.91773278] -3.6726226345369497 ;\n", + "Epoch 210/1000, Cost: 4.4258\n", + " and the parameters are [-2.07374896 2.91777227] -3.672637461037864 ;\n", + "Epoch 210/1000, Cost: 2.6143\n", + " and the parameters are [-2.07373566 2.91784485] -3.672658473067138 ;\n", + "Epoch 210/1000, Cost: 5.8234\n", + " and the parameters are [-2.07366607 2.91780333] -3.672771503173525 ;\n", + "Epoch 210/1000, Cost: 2.9900\n", + " and the parameters are [-2.07372132 2.91779562] -3.672813142621507 ;\n", + "Epoch 210/1000, Cost: 3.3130\n", + " and the parameters are [-2.07377173 2.91789727] -3.6727717756146396 ;\n", + "Epoch 210/1000, Cost: 3.9287\n", + " and the parameters are [-2.07380038 2.91791148] -3.672812692653163 ;\n", + "Epoch 210/1000, Cost: 5.5691\n", + " and the parameters are [-2.0737644 2.91799364] -3.6728044740785735 ;\n", + "Epoch 210/1000, Cost: 3.7183\n", + " and the parameters are [-2.07381832 2.9180383 ] -3.6727890627999518 ;\n", + "Epoch 210/1000, Cost: 5.4971\n", + " and the parameters are [-2.07385964 2.91810303] -3.6727450068266463 ;\n", + "Epoch 210/1000, Cost: 4.5803\n", + " and the parameters are [-2.07382553 2.91815927] -3.6728019894913695 ;\n", + "Epoch 210/1000, Cost: 4.4299\n", + " and the parameters are [-2.07390976 2.91810882] -3.672851374951594 ;\n", + "Epoch 210/1000, Cost: 4.3707\n", + " and the parameters are [-2.07395372 2.91804629] -3.672932731597122 ;\n", + "Epoch 210/1000, Cost: 3.1628\n", + " and the parameters are [-2.0739975 2.91799344] -3.6730183976683732 ;\n", + "Epoch 210/1000, Cost: 5.1063\n", + " and the parameters are [-2.07398227 2.91789102] -3.673161287862035 ;\n", + "Epoch 210/1000, Cost: 5.0343\n", + " and the parameters are [-2.07404768 2.91799419] -3.673106825431774 ;\n", + "Epoch 210/1000, Cost: 5.5196\n", + " and the parameters are [-2.07407204 2.91807455] -3.6730836299785112 ;\n", + "Epoch 210/1000, Cost: 3.4403\n", + " and the parameters are [-2.07411967 2.91818327] -3.673013995822708 ;\n", + "Epoch 210/1000, Cost: 3.4571\n", + " and the parameters are [-2.07411069 2.91825053] -3.6730367544696523 ;\n", + "Epoch 210/1000, Cost: 3.2008\n", + " and the parameters are [-2.07419309 2.91823444] -3.6730583030816586 ;\n", + "Epoch 210/1000, Cost: 3.3373\n", + " and the parameters are [-2.07416374 2.91837646] -3.673026689650111 ;\n", + "Epoch 210/1000, Cost: 4.5016\n", + " and the parameters are [-2.07417415 2.91843049] -3.6730579243435164 ;\n", + "Epoch 210/1000, Cost: 5.7763\n", + " and the parameters are [-2.07428889 2.91828305] -3.6731645131394157 ;\n", + "Epoch 210/1000, Cost: 4.7150\n", + " and the parameters are [-2.07433708 2.91824831] -3.673250905761905 ;\n", + "Epoch 210/1000, Cost: 2.9308\n", + " and the parameters are [-2.0743349 2.9183964] -3.6732043245144923 ;\n", + "Epoch 210/1000, Cost: 2.2400\n", + " and the parameters are [-2.07437288 2.91836014] -3.6732638610214265 ;\n", + "Epoch 210/1000, Cost: 7.2932\n", + " and the parameters are [-2.07436577 2.91852721] -3.673167827841506 ;\n", + "Epoch 210/1000, Cost: 3.4942\n", + " and the parameters are [-2.07441422 2.9184927 ] -3.6732384014309676 ;\n", + "Epoch 210/1000, Cost: 6.0602\n", + " and the parameters are [-2.07453278 2.91840846] -3.6733145134279894 ;\n", + "Epoch 210/1000, Cost: 4.3547\n", + " and the parameters are [-2.07454553 2.91844639] -3.673349787485118 ;\n", + "Epoch 210/1000, Cost: 3.5604\n", + " and the parameters are [-2.07460978 2.9183922 ] -3.6734236761058585 ;\n", + "Epoch 210/1000, Cost: 3.3262\n", + " and the parameters are [-2.0746363 2.91841827] -3.6734360843663563 ;\n", + "Epoch 210/1000, Cost: 2.9091\n", + " and the parameters are [-2.0745844 2.91853575] -3.673432437169135 ;\n", + "Epoch 210/1000, Cost: 4.2024\n", + " and the parameters are [-2.07467583 2.91850269] -3.673469118028413 ;\n", + "Epoch 210/1000, Cost: 5.4208\n", + " and the parameters are [-2.07479398 2.91850049] -3.673456880405576 ;\n", + "Epoch 210/1000, Cost: 4.8964\n", + " and the parameters are [-2.07477251 2.91849857] -3.6735398742506047 ;\n", + "Epoch 210/1000, Cost: 4.1583\n", + " and the parameters are [-2.07482597 2.91863688] -3.673435730135738 ;\n", + "Epoch 210/1000, Cost: 4.6585\n", + " and the parameters are [-2.07483264 2.91871784] -3.67342732217946 ;\n", + "Epoch 210/1000, Cost: 5.5201\n", + " and the parameters are [-2.0748365 2.91882621] -3.673361716147039 ;\n", + "Epoch 210/1000, Cost: 6.9436\n", + " and the parameters are [-2.07493191 2.91872476] -3.673439969723141 ;\n", + "Epoch 210/1000, Cost: 4.7804\n", + " and the parameters are [-2.07502685 2.91863965] -3.6735061275225203 ;\n", + "Epoch 210/1000, Cost: 3.4487\n", + " and the parameters are [-2.07505365 2.91857901] -3.6736042036187913 ;\n", + "Epoch 210/1000, Cost: 2.4717\n", + " and the parameters are [-2.07508309 2.91861959] -3.6736190169163363 ;\n", + "Epoch 210/1000, Cost: 2.6700\n", + " and the parameters are [-2.07505206 2.91870765] -3.6736323701143996 ;\n", + "Epoch 210/1000, Cost: 2.8220\n", + " and the parameters are [-2.07497996 2.91870811] -3.673723183001684 ;\n", + "Epoch 210/1000, Cost: 4.6112\n", + " and the parameters are [-2.07496082 2.91874354] -3.6737733611412655 ;\n", + "Epoch 210/1000, Cost: 4.5880\n", + " and the parameters are [-2.07498041 2.91872594] -3.6738476241890092 ;\n", + "Epoch 210/1000, Cost: 3.5768\n", + " and the parameters are [-2.0750285 2.91866521] -3.6739175642789865 ;\n", + "Epoch 210/1000, Cost: 2.7477\n", + " and the parameters are [-2.07500775 2.91865266] -3.6739810002834297 ;\n", + "Epoch 210/1000, Cost: 4.4087\n", + " and the parameters are [-2.07506946 2.91861149] -3.674035819895663 ;\n", + "Epoch 210/1000, Cost: 3.1421\n", + " and the parameters are [-2.07508164 2.91869061] -3.674028757480035 ;\n", + "Epoch 210/1000, Cost: 3.9887\n", + " and the parameters are [-2.07508989 2.91871015] -3.6740646277392957 ;\n", + "Epoch 210/1000, Cost: 3.1882\n", + " and the parameters are [-2.07507 2.91875445] -3.6741175836232745 ;\n", + "Epoch 210/1000, Cost: 3.9959\n", + " and the parameters are [-2.07505805 2.91883245] -3.6741204171022543 ;\n", + "Epoch 210/1000, Cost: 4.6645\n", + " and the parameters are [-2.07520133 2.91873133] -3.6741853892158116 ;\n", + "Epoch 210/1000, Cost: 3.6649\n", + " and the parameters are [-2.07527721 2.91871058] -3.6742129818524925 ;\n", + "Epoch 210/1000, Cost: 2.8925\n", + " and the parameters are [-2.07532922 2.91878049] -3.6741917298774642 ;\n", + "Epoch 210/1000, Cost: 4.7195\n", + " and the parameters are [-2.07534984 2.9189748 ] -3.674076829554761 ;\n", + "Epoch 210/1000, Cost: 4.0842\n", + " and the parameters are [-2.07538585 2.91892824] -3.67414395748415 ;\n", + "Epoch 210/1000, Cost: 2.8079\n", + " and the parameters are [-2.07543235 2.91892095] -3.6742013806115175 ;\n", + "Epoch 210/1000, Cost: 3.4911\n", + " and the parameters are [-2.07547026 2.91892154] -3.674238898611913 ;\n", + "Epoch 210/1000, Cost: 8.2996\n", + " and the parameters are [-2.07541498 2.91890557] -3.6743223691977005 ;\n", + "Epoch 210/1000, Cost: 5.2252\n", + " and the parameters are [-2.07549867 2.91887948] -3.674351177316176 ;\n", + "Epoch 210/1000, Cost: 2.8840\n", + " and the parameters are [-2.07553484 2.91891531] -3.6743652194630574 ;\n", + "Epoch 210/1000, Cost: 3.6671\n", + " and the parameters are [-2.07559168 2.91881544] -3.6744890189726727 ;\n", + "Epoch 210/1000, Cost: 2.8551\n", + " and the parameters are [-2.07559834 2.91890249] -3.674485398928684 ;\n", + "Epoch 210/1000, Cost: 7.6445\n", + " and the parameters are [-2.07557123 2.91898371] -3.674488515355982 ;\n", + "Epoch 210/1000, Cost: 7.7581\n", + " and the parameters are [-2.0755817 2.9190969] -3.674396936698859 ;\n", + "Epoch 210/1000, Cost: 3.2746\n", + " and the parameters are [-2.07567182 2.91900813] -3.674459871703512 ;\n", + "Epoch 210/1000, Cost: 3.8185\n", + " and the parameters are [-2.07570859 2.91892025] -3.674566665879439 ;\n", + "Epoch 210/1000, Cost: 3.6864\n", + " and the parameters are [-2.07575488 2.91892195] -3.6746046905487164 ;\n", + "Epoch 210/1000, Cost: 3.2286\n", + " and the parameters are [-2.07573744 2.91900653] -3.674621049312919 ;\n", + "Epoch 210/1000, Cost: 3.0267\n", + " and the parameters are [-2.07577236 2.91900474] -3.674671474356395 ;\n", + "Epoch 210/1000, Cost: 3.5143\n", + " and the parameters are [-2.0758362 2.91898627] -3.674729692946034 ;\n", + "Epoch 210/1000, Cost: 5.1508\n", + " and the parameters are [-2.07583772 2.91905361] -3.674758459280948 ;\n", + "Epoch 210/1000, Cost: 3.5807\n", + " and the parameters are [-2.07584727 2.91911275] -3.6747862792664554 ;\n", + "Epoch 210/1000, Cost: 6.0531\n", + " and the parameters are [-2.07589271 2.91899055] -3.6749183452061183 ;\n", + "Epoch 210/1000, Cost: 2.7862\n", + " and the parameters are [-2.07587888 2.91905458] -3.6749257044073405 ;\n", + "Epoch 210/1000, Cost: 2.8824\n", + " and the parameters are [-2.07587182 2.91919186] -3.6748834163281203 ;\n", + "Epoch 210/1000, Cost: 5.1711\n", + " and the parameters are [-2.07582671 2.91933363] -3.6748379826316255 ;\n", + "Epoch 210/1000, Cost: 3.3112\n", + " and the parameters are [-2.07583907 2.9193861 ] -3.674868768361568 ;\n", + "Epoch 210/1000, Cost: 5.3758\n", + " and the parameters are [-2.0758604 2.91938703] -3.674931677703117 ;\n", + "Epoch 210/1000, Cost: 3.0286\n", + " and the parameters are [-2.07589919 2.91940299] -3.674964872405417 ;\n", + "Epoch 210/1000, Cost: 2.6804\n", + " and the parameters are [-2.07591883 2.91945689] -3.6749753866828243 ;\n", + "Epoch 210/1000, Cost: 3.3404\n", + " and the parameters are [-2.07594693 2.91949996] -3.6749898544281305 ;\n", + "Epoch 210/1000, Cost: 3.3007\n", + " and the parameters are [-2.07594214 2.9196337 ] -3.674942449450511 ;\n", + "Epoch 210/1000, Cost: 4.4840\n", + " and the parameters are [-2.07592912 2.91968464] -3.6749574072569198 ;\n", + "Epoch 210/1000, Cost: 5.4046\n", + " and the parameters are [-2.07585026 2.9197148 ] -3.6750475792050215 ;\n", + "Epoch 210/1000, Cost: 3.2199\n", + " and the parameters are [-2.07586116 2.91979459] -3.675061109115301 ;\n", + "Epoch 210/1000, Cost: 3.2434\n", + " and the parameters are [-2.07586057 2.91980696] -3.6751314132501944 ;\n", + "Epoch 210/1000, Cost: 5.3736\n", + " and the parameters are [-2.07585561 2.9197777 ] -3.6752307305319247 ;\n", + "Epoch 210/1000, Cost: 2.5972\n", + " and the parameters are [-2.07587658 2.91987316] -3.6751985160717373 ;\n", + "Epoch 210/1000, Cost: 3.5317\n", + " and the parameters are [-2.07588 2.91999428] -3.675152899408542 ;\n", + "Epoch 210/1000, Cost: 3.7457\n", + " and the parameters are [-2.07587705 2.92007174] -3.6751575807629786 ;\n", + "Epoch 210/1000, Cost: 7.6127\n", + " and the parameters are [-2.07588731 2.91995649] -3.675257288106833 ;\n", + "Epoch 210/1000, Cost: 4.7426\n", + " and the parameters are [-2.0759479 2.9199491] -3.675279672928087 ;\n", + "Epoch 210/1000, Cost: 4.2042\n", + " and the parameters are [-2.07593137 2.91996537] -3.6753328586406657 ;\n", + "Epoch 210/1000, Cost: 3.5419\n", + " and the parameters are [-2.07591975 2.92011074] -3.675285304180442 ;\n", + "Epoch 210/1000, Cost: 4.6095\n", + " and the parameters are [-2.07597725 2.92001217] -3.675375019099249 ;\n", + "Epoch 210/1000, Cost: 6.6197\n", + " and the parameters are [-2.0758961 2.92009427] -3.6753934311393595 ;\n", + "Epoch 210/1000, Cost: 3.8227\n", + " and the parameters are [-2.07586802 2.92018044] -3.6754211822445906 ;\n", + "Epoch 210/1000, Cost: 4.5260\n", + " and the parameters are [-2.07593866 2.92016151] -3.6754580794471843 ;\n", + "Epoch 210/1000, Cost: 3.2580\n", + " and the parameters are [-2.0758734 2.92025471] -3.675469942285895 ;\n", + "Epoch 210/1000, Cost: 1.8815\n", + " and the parameters are [-2.07591419 2.92025421] -3.675510398772702 ;\n", + "Epoch 210/1000, Cost: 3.7042\n", + " and the parameters are [-2.07587525 2.92034824] -3.6755239590256985 ;\n", + "Epoch 210/1000, Cost: 3.1572\n", + " and the parameters are [-2.0758677 2.92043475] -3.6755176332913293 ;\n", + "Epoch 210/1000, Cost: 3.3352\n", + " and the parameters are [-2.07585265 2.92048883] -3.675556010012748 ;\n", + "Epoch 210/1000, Cost: 4.2510\n", + " and the parameters are [-2.0759445 2.92044469] -3.6755951188026526 ;\n", + "Epoch 210/1000, Cost: 4.4171\n", + " and the parameters are [-2.07595333 2.92041456] -3.675674110350272 ;\n", + "Epoch 210/1000, Cost: 3.7032\n", + " and the parameters are [-2.07600691 2.92043274] -3.6756897586931054 ;\n", + "Epoch 210/1000, Cost: 7.0880\n", + " and the parameters are [-2.07602898 2.92057363] -3.675614886398739 ;\n", + "Epoch 210/1000, Cost: 3.7077\n", + " and the parameters are [-2.07613706 2.92057289] -3.6756073540844656 ;\n", + "Epoch 210/1000, Cost: 1.6786\n", + " and the parameters are [-2.07611916 2.92066141] -3.6756038910277664 ;\n", + "Epoch 210/1000, Cost: 1.9419\n", + " and the parameters are [-2.07610986 2.92072689] -3.675613819014749 ;\n", + "Epoch 210/1000, Cost: 3.1670\n", + " and the parameters are [-2.07611099 2.92086996] -3.675564919765991 ;\n", + "Epoch 210/1000, Cost: 6.3182\n", + " and the parameters are [-2.07620225 2.92083749] -3.67556908667603 ;\n", + "Epoch 210/1000, Cost: 2.5948\n", + " and the parameters are [-2.07614164 2.92088974] -3.6756316541438028 ;\n", + "Epoch 210/1000, Cost: 6.6369\n", + " and the parameters are [-2.07621134 2.92080968] -3.675718287143562 ;\n", + "Epoch 210/1000, Cost: 3.7067\n", + " and the parameters are [-2.07626271 2.92080401] -3.6757696793919106 ;\n", + "Epoch 210/1000, Cost: 9.0275\n", + " and the parameters are [-2.07624964 2.92075338] -3.6758200586171714 ;\n", + "Epoch 210/1000, Cost: 2.4145\n", + " and the parameters are [-2.07630148 2.9208194 ] -3.6758081515604575 ;\n", + "Epoch 210/1000, Cost: 6.3318\n", + " and the parameters are [-2.0763461 2.92083585] -3.6758238466581687 ;\n", + "Epoch 210/1000, Cost: 2.3826\n", + " and the parameters are [-2.07636904 2.92085789] -3.67585315096018 ;\n", + "Epoch 210/1000, Cost: 3.2061\n", + " and the parameters are [-2.07640693 2.92090146] -3.675855222052398 ;\n", + "Epoch 210/1000, Cost: 3.2988\n", + " and the parameters are [-2.07639548 2.92096792] -3.6758784886920854 ;\n", + "Epoch 210/1000, Cost: 5.8126\n", + " and the parameters are [-2.07647133 2.92093851] -3.6759217696804942 ;\n", + "Epoch 210/1000, Cost: 4.7951\n", + " and the parameters are [-2.07645686 2.92095037] -3.6759643484390043 ;\n", + "Epoch 210/1000, Cost: 4.6961\n", + " and the parameters are [-2.0765807 2.9208865] -3.67600742362921 ;\n", + "Epoch 210/1000, Cost: 9.5158\n", + " and the parameters are [-2.07659905 2.92074173] -3.676114758387626 ;\n", + "Epoch 210/1000, Cost: 4.3789\n", + " and the parameters are [-2.07667684 2.92063258] -3.676213464326839 ;\n", + "Epoch 210/1000, Cost: 5.4018\n", + " and the parameters are [-2.07663748 2.92057656] -3.6763310852833757 ;\n", + "Epoch 210/1000, Cost: 3.4892\n", + " and the parameters are [-2.076695 2.92061943] -3.6763151154892895 ;\n", + "Epoch 210/1000, Cost: 4.5636\n", + " and the parameters are [-2.07672003 2.92056184] -3.6764021162347067 ;\n", + "Epoch 210/1000, Cost: 3.7429\n", + " and the parameters are [-2.07672484 2.92053854] -3.676476178388429 ;\n", + "Epoch 210/1000, Cost: 2.7820\n", + " and the parameters are [-2.07667876 2.9205721 ] -3.6765320996373876 ;\n", + "Epoch 210/1000, Cost: 6.1707\n", + " and the parameters are [-2.07669536 2.92048448] -3.676648060617763 ;\n", + "Epoch 210/1000, Cost: 4.7644\n", + " and the parameters are [-2.07667654 2.92056705] -3.6766652410041116 ;\n", + "Epoch 210/1000, Cost: 2.6736\n", + " and the parameters are [-2.07663971 2.92061776] -3.676695544370444 ;\n", + "Epoch 210/1000, Cost: 4.2721\n", + " and the parameters are [-2.07661821 2.92070102] -3.6766793045115587 ;\n", + "Epoch 210/1000, Cost: 4.0057\n", + " and the parameters are [-2.07656445 2.92085056] -3.6766398584340982 ;\n", + "Epoch 210/1000, Cost: 6.4771\n", + " and the parameters are [-2.07647098 2.92082877] -3.6767804690680874 ;\n", + "Epoch 210/1000, Cost: 5.4935\n", + " and the parameters are [-2.07648352 2.92072022] -3.6769068126329607 ;\n", + "Epoch 210/1000, Cost: 3.3391\n", + " and the parameters are [-2.07651069 2.92077058] -3.676927835296393 ;\n", + "Epoch 210/1000, Cost: 5.1397\n", + " and the parameters are [-2.07649433 2.9206975 ] -3.6770530778864017 ;\n", + "Epoch 210/1000, Cost: 4.1712\n", + " and the parameters are [-2.0765503 2.92060047] -3.67715472860175 ;\n", + "Epoch 210/1000, Cost: 4.9520\n", + " and the parameters are [-2.07655566 2.92074127] -3.6771008019593094 ;\n", + "Epoch 210/1000, Cost: 3.7807\n", + " and the parameters are [-2.0765478 2.92075926] -3.6771652495857183 ;\n", + "Epoch 210/1000, Cost: 4.2358\n", + " and the parameters are [-2.07655082 2.92076791] -3.677215044016702 ;\n", + "Epoch 210/1000, Cost: 7.0081\n", + " and the parameters are [-2.07664425 2.92059883] -3.677356854522924 ;\n", + "Epoch 210/1000, Cost: 3.0997\n", + " and the parameters are [-2.07668214 2.92064844] -3.6773574153795154 ;\n", + "Epoch 210/1000, Cost: 5.6987\n", + " and the parameters are [-2.07656147 2.92087128] -3.677309246251092 ;\n", + "Epoch 210/1000, Cost: 4.2059\n", + " and the parameters are [-2.07663308 2.92073622] -3.6774115623018213 ;\n", + "Epoch 210/1000, Cost: 2.9996\n", + " and the parameters are [-2.07669535 2.92076224] -3.677414127995774 ;\n", + "Epoch 210/1000, Cost: 4.2557\n", + " and the parameters are [-2.07671835 2.92085428] -3.677401508098535 ;\n", + "Epoch 210/1000, Cost: 4.9024\n", + " and the parameters are [-2.07676172 2.92099229] -3.677341946785721 ;\n", + "Epoch 210/1000, Cost: 8.4166\n", + " and the parameters are [-2.07667362 2.92116215] -3.6772660075404406 ;\n", + "Epoch 210/1000, Cost: 5.3401\n", + " and the parameters are [-2.07665014 2.92127073] -3.6772309677974726 ;\n", + "Epoch 210/1000, Cost: 3.3824\n", + " and the parameters are [-2.07670303 2.92126219] -3.677263665226616 ;\n", + "Epoch 210/1000, Cost: 2.8432\n", + " and the parameters are [-2.07667742 2.92133607] -3.6772893263800586 ;\n", + "Epoch 210/1000, Cost: 3.1859\n", + " and the parameters are [-2.07668832 2.92133649] -3.677346068882418 ;\n", + "Epoch 210/1000, Cost: 3.8178\n", + " and the parameters are [-2.0766691 2.92140586] -3.6773531305741765 ;\n", + "Epoch 210/1000, Cost: 8.7741\n", + " and the parameters are [-2.07675468 2.92120952] -3.6774739419437243 ;\n", + "Epoch 210/1000, Cost: 3.7177\n", + " and the parameters are [-2.07674816 2.92131045] -3.677472274470594 ;\n", + "Epoch 210/1000, Cost: 7.1065\n", + " and the parameters are [-2.07664712 2.92130115] -3.677594093499173 ;\n", + "Epoch 210/1000, Cost: 2.3363\n", + " and the parameters are [-2.07664872 2.92144466] -3.6775458888984143 ;\n", + "Epoch 210/1000, Cost: 2.1866\n", + " and the parameters are [-2.07665635 2.92146623] -3.67758944819403 ;\n", + "Epoch 210/1000, Cost: 4.2118\n", + " and the parameters are [-2.07671574 2.92161338] -3.6774986206174076 ;\n", + "Epoch 210/1000, Cost: 2.7001\n", + " and the parameters are [-2.07671381 2.92161046] -3.6775541792992374 ;\n", + "Epoch 210/1000, Cost: 2.4284\n", + " and the parameters are [-2.07669116 2.92168753] -3.6775538422584435 ;\n", + "Epoch 210/1000, Cost: 5.2791\n", + " and the parameters are [-2.07670193 2.92165057] -3.6776397673879107 ;\n", + "Epoch 210/1000, Cost: 5.5052\n", + " and the parameters are [-2.0766322 2.92164476] -3.677731993111164 ;\n", + "Epoch 210/1000, Cost: 4.8373\n", + " and the parameters are [-2.07661112 2.92169107] -3.6777799801439714 ;\n", + "Epoch 210/1000, Cost: 3.3473\n", + " and the parameters are [-2.07661397 2.92161563] -3.6778892362266147 ;\n", + "Epoch 210/1000, Cost: 2.6430\n", + " and the parameters are [-2.07659646 2.92161731] -3.6779569704222848 ;\n", + "Epoch 210/1000, Cost: 2.4484\n", + " and the parameters are [-2.07664132 2.92161772] -3.6779868664386917 ;\n", + "Epoch 210/1000, Cost: 5.3417\n", + " and the parameters are [-2.0766909 2.9214442] -3.6781320145558114 ;\n", + "Epoch 210/1000, Cost: 3.7054\n", + " and the parameters are [-2.07677786 2.92148823] -3.6781094226751803 ;\n", + "Epoch 210/1000, Cost: 6.5445\n", + " and the parameters are [-2.07695982 2.92128334] -3.6781999366028937 ;\n", + "Epoch 210/1000, Cost: 3.3763\n", + " and the parameters are [-2.0769948 2.9213058] -3.6782303500259097 ;\n", + "Epoch 210/1000, Cost: 5.0288\n", + " and the parameters are [-2.07705055 2.92142575] -3.678176852698752 ;\n", + "Epoch 210/1000, Cost: 3.3085\n", + " and the parameters are [-2.07704008 2.92143519] -3.6782333762502404 ;\n", + "Epoch 210/1000, Cost: 3.7491\n", + " and the parameters are [-2.0770286 2.92145046] -3.6782878603627966 ;\n", + "Epoch 210/1000, Cost: 9.2298\n", + " and the parameters are [-2.07705378 2.92134505] -3.6783629519366223 ;\n", + "Epoch 210/1000, Cost: 4.1165\n", + " and the parameters are [-2.07716073 2.92137744] -3.6783475860036123 ;\n", + "Epoch 210/1000, Cost: 3.7635\n", + " and the parameters are [-2.07712633 2.9214534 ] -3.678371932984904 ;\n", + "Epoch 210/1000, Cost: 3.2962\n", + " and the parameters are [-2.07714704 2.92141645] -3.678452773837953 ;\n", + "Epoch 210/1000, Cost: 5.6281\n", + " and the parameters are [-2.07723656 2.92119994] -3.6786120668764406 ;\n", + "Epoch 210/1000, Cost: 2.8913\n", + " and the parameters are [-2.07724403 2.92134497] -3.67856510284686 ;\n", + "Epoch 210/1000, Cost: 3.2026\n", + " and the parameters are [-2.07724743 2.92134786] -3.6786092518747906 ;\n", + "Epoch 210/1000, Cost: 4.1176\n", + " and the parameters are [-2.07723201 2.92137988] -3.678668091803794 ;\n", + "Epoch 210/1000, Cost: 5.4084\n", + " and the parameters are [-2.07727173 2.92145919] -3.6786604909420677 ;\n", + "Epoch 210/1000, Cost: 5.2660\n", + " and the parameters are [-2.0772407 2.92156753] -3.6786426436089616 ;\n", + "Epoch 220/1000, Cost: 4.0572\n", + " and the parameters are [-2.1081334 2.95890608] -3.7336737178138115 ;\n", + "Epoch 220/1000, Cost: 4.6333\n", + " and the parameters are [-2.10816621 2.95891819] -3.73370770306174 ;\n", + "Epoch 220/1000, Cost: 6.7205\n", + " and the parameters are [-2.10817143 2.95886922] -3.733761713116836 ;\n", + "Epoch 220/1000, Cost: 6.5755\n", + " and the parameters are [-2.10822732 2.95895331] -3.733724581695932 ;\n", + "Epoch 220/1000, Cost: 4.0108\n", + " and the parameters are [-2.10828728 2.95891234] -3.7337702128937362 ;\n", + "Epoch 220/1000, Cost: 3.5615\n", + " and the parameters are [-2.10836558 2.95904662] -3.733662285297771 ;\n", + "Epoch 220/1000, Cost: 2.8555\n", + " and the parameters are [-2.10841551 2.95901989] -3.7337127331226725 ;\n", + "Epoch 220/1000, Cost: 4.0359\n", + " and the parameters are [-2.10842443 2.95909827] -3.7337139993974477 ;\n", + "Epoch 220/1000, Cost: 2.9768\n", + " and the parameters are [-2.10848277 2.95915022] -3.7336902990943077 ;\n", + "Epoch 220/1000, Cost: 5.8778\n", + " and the parameters are [-2.10851626 2.95920141] -3.7336588498360452 ;\n", + "Epoch 220/1000, Cost: 4.0574\n", + " and the parameters are [-2.10855894 2.95924355] -3.733668388928896 ;\n", + "Epoch 220/1000, Cost: 1.8740\n", + " and the parameters are [-2.10851746 2.95932107] -3.733683408407243 ;\n", + "Epoch 220/1000, Cost: 8.1002\n", + " and the parameters are [-2.1084604 2.95931822] -3.733725124414179 ;\n", + "Epoch 220/1000, Cost: 3.8054\n", + " and the parameters are [-2.10855179 2.959353 ] -3.7337144308589214 ;\n", + "Epoch 220/1000, Cost: 3.6257\n", + " and the parameters are [-2.10851974 2.95939749] -3.7337716571099175 ;\n", + "Epoch 220/1000, Cost: 4.1007\n", + " and the parameters are [-2.10855425 2.95935634] -3.733846339662327 ;\n", + "Epoch 220/1000, Cost: 3.7316\n", + " and the parameters are [-2.10865113 2.95937401] -3.7338355607962512 ;\n", + "Epoch 220/1000, Cost: 3.1735\n", + " and the parameters are [-2.10866287 2.95938739] -3.7338696515212604 ;\n", + "Epoch 220/1000, Cost: 2.8359\n", + " and the parameters are [-2.10868528 2.95937737] -3.733925015068426 ;\n", + "Epoch 220/1000, Cost: 5.7170\n", + " and the parameters are [-2.10877044 2.9594197 ] -3.733893918388925 ;\n", + "Epoch 220/1000, Cost: 6.1652\n", + " and the parameters are [-2.10876562 2.95939743] -3.733968918490259 ;\n", + "Epoch 220/1000, Cost: 3.3820\n", + " and the parameters are [-2.10876498 2.95935148] -3.734071052048984 ;\n", + "Epoch 220/1000, Cost: 3.1216\n", + " and the parameters are [-2.10875726 2.959412 ] -3.7340797866446844 ;\n", + "Epoch 220/1000, Cost: 6.3714\n", + " and the parameters are [-2.10887268 2.95933875] -3.7341129904969907 ;\n", + "Epoch 220/1000, Cost: 3.2966\n", + " and the parameters are [-2.10888655 2.95940275] -3.734118753416996 ;\n", + "Epoch 220/1000, Cost: 4.3613\n", + " and the parameters are [-2.1089301 2.95943045] -3.734130690482355 ;\n", + "Epoch 220/1000, Cost: 2.7218\n", + " and the parameters are [-2.10895684 2.95942261] -3.7341722325572766 ;\n", + "Epoch 220/1000, Cost: 5.6768\n", + " and the parameters are [-2.1090264 2.95925764] -3.7343045189857005 ;\n", + "Epoch 220/1000, Cost: 3.0132\n", + " and the parameters are [-2.10906779 2.95935119] -3.734278304421507 ;\n", + "Epoch 220/1000, Cost: 2.2226\n", + " and the parameters are [-2.10907311 2.95937051] -3.7343236175914387 ;\n", + "Epoch 220/1000, Cost: 3.4449\n", + " and the parameters are [-2.10907978 2.95933741] -3.734406000869668 ;\n", + "Epoch 220/1000, Cost: 3.1989\n", + " and the parameters are [-2.10910902 2.95939791] -3.7344108230630724 ;\n", + "Epoch 220/1000, Cost: 4.5832\n", + " and the parameters are [-2.1090061 2.95951956] -3.7344316441529264 ;\n", + "Epoch 220/1000, Cost: 3.7832\n", + " and the parameters are [-2.10903925 2.95963517] -3.734390859748781 ;\n", + "Epoch 220/1000, Cost: 5.3285\n", + " and the parameters are [-2.10900946 2.95969925] -3.7343963654897028 ;\n", + "Epoch 220/1000, Cost: 2.6094\n", + " and the parameters are [-2.10900901 2.95976261] -3.7344099579513625 ;\n", + "Epoch 220/1000, Cost: 3.1539\n", + " and the parameters are [-2.10902031 2.95975814] -3.7344734442754293 ;\n", + "Epoch 220/1000, Cost: 4.1093\n", + " and the parameters are [-2.10914084 2.95967949] -3.734531418057745 ;\n", + "Epoch 220/1000, Cost: 1.6796\n", + " and the parameters are [-2.10915643 2.95975574] -3.7345195053609173 ;\n", + "Epoch 220/1000, Cost: 8.7029\n", + " and the parameters are [-2.1091679 2.95976044] -3.7345195050323867 ;\n", + "Epoch 220/1000, Cost: 4.5784\n", + " and the parameters are [-2.1091442 2.95978077] -3.734574517691642 ;\n", + "Epoch 220/1000, Cost: 2.8643\n", + " and the parameters are [-2.10914563 2.95984506] -3.7345862169131863 ;\n", + "Epoch 220/1000, Cost: 5.3967\n", + " and the parameters are [-2.10911744 2.95976283] -3.7347109987320977 ;\n", + "Epoch 220/1000, Cost: 3.7290\n", + " and the parameters are [-2.10907042 2.95986355] -3.7347302276849828 ;\n", + "Epoch 220/1000, Cost: 2.7385\n", + " and the parameters are [-2.10907932 2.95997881] -3.7347028824202964 ;\n", + "Epoch 220/1000, Cost: 3.5828\n", + " and the parameters are [-2.10910018 2.9600922 ] -3.7346736840802865 ;\n", + "Epoch 220/1000, Cost: 3.9822\n", + " and the parameters are [-2.10920792 2.96008118] -3.734674177184771 ;\n", + "Epoch 220/1000, Cost: 4.2616\n", + " and the parameters are [-2.10924574 2.96018962] -3.734631142154738 ;\n", + "Epoch 220/1000, Cost: 3.6664\n", + " and the parameters are [-2.10927747 2.96021538] -3.734654687943784 ;\n", + "Epoch 220/1000, Cost: 3.8702\n", + " and the parameters are [-2.1092987 2.96025885] -3.7346837724756887 ;\n", + "Epoch 220/1000, Cost: 3.0854\n", + " and the parameters are [-2.10934067 2.96035496] -3.7346482890333683 ;\n", + "Epoch 220/1000, Cost: 2.6473\n", + " and the parameters are [-2.10936433 2.96034586] -3.734707561274677 ;\n", + "Epoch 220/1000, Cost: 4.2523\n", + " and the parameters are [-2.10938035 2.96031153] -3.7347549686611785 ;\n", + "Epoch 220/1000, Cost: 3.7802\n", + " and the parameters are [-2.10937222 2.96026456] -3.73485652114793 ;\n", + "Epoch 220/1000, Cost: 8.0642\n", + " and the parameters are [-2.10943611 2.96008149] -3.735008995574581 ;\n", + "Epoch 220/1000, Cost: 4.2651\n", + " and the parameters are [-2.1095033 2.96017439] -3.734955943389437 ;\n", + "Epoch 220/1000, Cost: 5.5949\n", + " and the parameters are [-2.10951949 2.96014807] -3.7350078059650635 ;\n", + "Epoch 220/1000, Cost: 4.0620\n", + " and the parameters are [-2.10950478 2.96033904] -3.7349178574167636 ;\n", + "Epoch 220/1000, Cost: 2.5178\n", + " and the parameters are [-2.10953962 2.96032113] -3.7349755122534907 ;\n", + "Epoch 220/1000, Cost: 3.0362\n", + " and the parameters are [-2.10955414 2.96036643] -3.73499347855798 ;\n", + "Epoch 220/1000, Cost: 5.0631\n", + " and the parameters are [-2.1095615 2.96036075] -3.7350551003979566 ;\n", + "Epoch 220/1000, Cost: 4.5926\n", + " and the parameters are [-2.1094997 2.96041658] -3.7351082832050286 ;\n", + "Epoch 220/1000, Cost: 3.6334\n", + " and the parameters are [-2.10953394 2.96046095] -3.7351067696431066 ;\n", + "Epoch 220/1000, Cost: 3.8792\n", + " and the parameters are [-2.10955558 2.96052027] -3.735114177174353 ;\n", + "Epoch 220/1000, Cost: 1.7816\n", + " and the parameters are [-2.10952604 2.96055659] -3.7351507953373653 ;\n", + "Epoch 220/1000, Cost: 3.8224\n", + " and the parameters are [-2.10954256 2.96055669] -3.735205562761517 ;\n", + "Epoch 220/1000, Cost: 6.4091\n", + " and the parameters are [-2.10951365 2.96063515] -3.7351949518101613 ;\n", + "Epoch 220/1000, Cost: 3.8196\n", + " and the parameters are [-2.10956309 2.9605808 ] -3.7352786910096305 ;\n", + "Epoch 220/1000, Cost: 4.1582\n", + " and the parameters are [-2.10961566 2.96050022] -3.7353655374676413 ;\n", + "Epoch 220/1000, Cost: 5.4780\n", + " and the parameters are [-2.10960587 2.96046894] -3.7354327742860614 ;\n", + "Epoch 220/1000, Cost: 2.9600\n", + " and the parameters are [-2.10962917 2.96053489] -3.7354344388873755 ;\n", + "Epoch 220/1000, Cost: 6.8803\n", + " and the parameters are [-2.10974959 2.96049165] -3.735452823147649 ;\n", + "Epoch 220/1000, Cost: 3.1159\n", + " and the parameters are [-2.10978061 2.96053892] -3.7354672644154805 ;\n", + "Epoch 220/1000, Cost: 3.2394\n", + " and the parameters are [-2.10978999 2.96057913] -3.735490783404063 ;\n", + "Epoch 220/1000, Cost: 4.5048\n", + " and the parameters are [-2.10970179 2.9606235 ] -3.735552946170802 ;\n", + "Epoch 220/1000, Cost: 4.2491\n", + " and the parameters are [-2.10970952 2.96061225] -3.7356231024486664 ;\n", + "Epoch 220/1000, Cost: 4.0180\n", + " and the parameters are [-2.10964087 2.96067577] -3.735677477467178 ;\n", + "Epoch 220/1000, Cost: 4.7793\n", + " and the parameters are [-2.10967519 2.96075421] -3.7356527336277288 ;\n", + "Epoch 220/1000, Cost: 3.7164\n", + " and the parameters are [-2.10966819 2.96081305] -3.7356723784949413 ;\n", + "Epoch 220/1000, Cost: 2.8828\n", + " and the parameters are [-2.10972367 2.96079684] -3.7357058775998966 ;\n", + "Epoch 220/1000, Cost: 3.0770\n", + " and the parameters are [-2.10971903 2.9608349 ] -3.735739245070659 ;\n", + "Epoch 220/1000, Cost: 3.8046\n", + " and the parameters are [-2.1097956 2.9607678] -3.7358017886351123 ;\n", + "Epoch 220/1000, Cost: 2.9979\n", + " and the parameters are [-2.10977381 2.96094119] -3.7357314214628 ;\n", + "Epoch 220/1000, Cost: 5.0886\n", + " and the parameters are [-2.10975531 2.96087377] -3.7358728132349523 ;\n", + "Epoch 220/1000, Cost: 4.6131\n", + " and the parameters are [-2.10975195 2.96096806] -3.735873538816809 ;\n", + "Epoch 220/1000, Cost: 2.8260\n", + " and the parameters are [-2.10972651 2.96109541] -3.735861748457659 ;\n", + "Epoch 220/1000, Cost: 4.5993\n", + " and the parameters are [-2.10961686 2.96112785] -3.7359695866360085 ;\n", + "Epoch 220/1000, Cost: 3.1106\n", + " and the parameters are [-2.10963407 2.96124954] -3.735938546161388 ;\n", + "Epoch 220/1000, Cost: 4.3294\n", + " and the parameters are [-2.1096756 2.96119451] -3.736019239082728 ;\n", + "Epoch 220/1000, Cost: 4.1382\n", + " and the parameters are [-2.10971235 2.9611372 ] -3.736089732045098 ;\n", + "Epoch 220/1000, Cost: 3.8930\n", + " and the parameters are [-2.10968039 2.96112233] -3.7361768692168096 ;\n", + "Epoch 220/1000, Cost: 3.5525\n", + " and the parameters are [-2.10972294 2.96110009] -3.7362247993627067 ;\n", + "Epoch 220/1000, Cost: 5.2053\n", + " and the parameters are [-2.10977321 2.96107761] -3.736280252343181 ;\n", + "Epoch 220/1000, Cost: 2.7166\n", + " and the parameters are [-2.10980971 2.96115332] -3.73626525572517 ;\n", + "Epoch 220/1000, Cost: 2.7158\n", + " and the parameters are [-2.10979897 2.96115885] -3.7363152622464577 ;\n", + "Epoch 220/1000, Cost: 4.3744\n", + " and the parameters are [-2.10975672 2.96124282] -3.7363462653372723 ;\n", + "Epoch 220/1000, Cost: 4.4211\n", + " and the parameters are [-2.10983459 2.96119198] -3.736407357139542 ;\n", + "Epoch 220/1000, Cost: 4.2666\n", + " and the parameters are [-2.10989825 2.96123313] -3.736417120096665 ;\n", + "Epoch 220/1000, Cost: 3.3819\n", + " and the parameters are [-2.1098518 2.961331 ] -3.736429665763869 ;\n", + "Epoch 220/1000, Cost: 4.3888\n", + " and the parameters are [-2.10995016 2.9612309 ] -3.7365177451043583 ;\n", + "Epoch 220/1000, Cost: 4.5830\n", + " and the parameters are [-2.10995829 2.96122229] -3.7365695142811717 ;\n", + "Epoch 220/1000, Cost: 3.6627\n", + " and the parameters are [-2.11004087 2.96119757] -3.7366038597163223 ;\n", + "Epoch 220/1000, Cost: 5.2043\n", + " and the parameters are [-2.11002489 2.96119025] -3.736652685033226 ;\n", + "Epoch 220/1000, Cost: 3.4177\n", + " and the parameters are [-2.11000291 2.96126702] -3.7366807389752594 ;\n", + "Epoch 220/1000, Cost: 7.1393\n", + " and the parameters are [-2.11010885 2.9611585 ] -3.7367594901237404 ;\n", + "Epoch 220/1000, Cost: 2.0746\n", + " and the parameters are [-2.11011038 2.96127379] -3.7367293772091115 ;\n", + "Epoch 220/1000, Cost: 2.2065\n", + " and the parameters are [-2.11008944 2.96127709] -3.7367948815121776 ;\n", + "Epoch 220/1000, Cost: 3.9578\n", + " and the parameters are [-2.11012098 2.96128442] -3.7368079381613177 ;\n", + "Epoch 220/1000, Cost: 3.9979\n", + " and the parameters are [-2.11012704 2.96131002] -3.7368261069079303 ;\n", + "Epoch 220/1000, Cost: 3.4204\n", + " and the parameters are [-2.11014216 2.96126772] -3.736919347771041 ;\n", + "Epoch 220/1000, Cost: 2.1856\n", + " and the parameters are [-2.1101185 2.96136764] -3.7369160002708557 ;\n", + "Epoch 220/1000, Cost: 5.4741\n", + " and the parameters are [-2.11021219 2.96129967] -3.7369752469382793 ;\n", + "Epoch 220/1000, Cost: 4.0616\n", + " and the parameters are [-2.11021818 2.96136874] -3.7370090629232298 ;\n", + "Epoch 220/1000, Cost: 6.1427\n", + " and the parameters are [-2.11028541 2.96143906] -3.7369465307900422 ;\n", + "Epoch 220/1000, Cost: 7.5486\n", + " and the parameters are [-2.11036333 2.96134994] -3.7369813659210935 ;\n", + "Epoch 220/1000, Cost: 7.4781\n", + " and the parameters are [-2.11041869 2.9612478 ] -3.7370377566329256 ;\n", + "Epoch 220/1000, Cost: 3.5174\n", + " and the parameters are [-2.11047577 2.96132812] -3.737013322755205 ;\n", + "Epoch 220/1000, Cost: 2.1335\n", + " and the parameters are [-2.11047674 2.96139154] -3.737021179678258 ;\n", + "Epoch 220/1000, Cost: 4.9714\n", + " and the parameters are [-2.11047731 2.96150241] -3.7369901097858986 ;\n", + "Epoch 220/1000, Cost: 3.7010\n", + " and the parameters are [-2.11058787 2.96145513] -3.7370187466019558 ;\n", + "Epoch 220/1000, Cost: 7.4564\n", + " and the parameters are [-2.11052673 2.96141086] -3.737123814625494 ;\n", + "Epoch 220/1000, Cost: 4.3222\n", + " and the parameters are [-2.11056541 2.96152198] -3.737071970165472 ;\n", + "Epoch 220/1000, Cost: 3.2419\n", + " and the parameters are [-2.11052103 2.9614819 ] -3.7371781915661435 ;\n", + "Epoch 220/1000, Cost: 4.0767\n", + " and the parameters are [-2.11058035 2.96141854] -3.737254846533082 ;\n", + "Epoch 220/1000, Cost: 5.3504\n", + " and the parameters are [-2.11050777 2.96148969] -3.7373024823940173 ;\n", + "Epoch 220/1000, Cost: 2.4727\n", + " and the parameters are [-2.11046065 2.9616336 ] -3.7372781986474033 ;\n", + "Epoch 220/1000, Cost: 3.8653\n", + " and the parameters are [-2.11042829 2.96163657] -3.737350000965808 ;\n", + "Epoch 220/1000, Cost: 2.7519\n", + " and the parameters are [-2.1104029 2.96170924] -3.7373649552517354 ;\n", + "Epoch 220/1000, Cost: 2.1528\n", + " and the parameters are [-2.11048155 2.96170502] -3.737370097650748 ;\n", + "Epoch 220/1000, Cost: 3.0022\n", + " and the parameters are [-2.11052757 2.96176284] -3.7373509312049498 ;\n", + "Epoch 220/1000, Cost: 3.6034\n", + " and the parameters are [-2.11054155 2.96185798] -3.737329992092502 ;\n", + "Epoch 220/1000, Cost: 4.0125\n", + " and the parameters are [-2.11051568 2.96187098] -3.7373935699863363 ;\n", + "Epoch 220/1000, Cost: 5.5479\n", + " and the parameters are [-2.11047803 2.96181397] -3.737520908707189 ;\n", + "Epoch 220/1000, Cost: 6.1282\n", + " and the parameters are [-2.11044568 2.96197734] -3.737450795637628 ;\n", + "Epoch 220/1000, Cost: 2.1902\n", + " and the parameters are [-2.11042566 2.96204648] -3.737470641013733 ;\n", + "Epoch 220/1000, Cost: 4.7584\n", + " and the parameters are [-2.11054237 2.96203542] -3.7374722199808854 ;\n", + "Epoch 220/1000, Cost: 2.9264\n", + " and the parameters are [-2.11056696 2.96201003] -3.737535100870403 ;\n", + "Epoch 220/1000, Cost: 3.9262\n", + " and the parameters are [-2.11055209 2.96209501] -3.7375469759334603 ;\n", + "Epoch 220/1000, Cost: 2.3918\n", + " and the parameters are [-2.11056582 2.96217066] -3.7375255470985675 ;\n", + "Epoch 220/1000, Cost: 3.5793\n", + " and the parameters are [-2.11053788 2.96214446] -3.737620062629601 ;\n", + "Epoch 220/1000, Cost: 4.0303\n", + " and the parameters are [-2.11064101 2.96207925] -3.73767195148488 ;\n", + "Epoch 220/1000, Cost: 3.3339\n", + " and the parameters are [-2.11068005 2.96217223] -3.7376403293909988 ;\n", + "Epoch 220/1000, Cost: 4.7709\n", + " and the parameters are [-2.11063558 2.96236771] -3.7375543304888446 ;\n", + "Epoch 220/1000, Cost: 3.5763\n", + " and the parameters are [-2.11062006 2.96239032] -3.7375937009727793 ;\n", + "Epoch 220/1000, Cost: 4.2023\n", + " and the parameters are [-2.11060234 2.96239195] -3.737662832923049 ;\n", + "Epoch 220/1000, Cost: 5.1852\n", + " and the parameters are [-2.1106486 2.9624764] -3.7376571018694205 ;\n", + "Epoch 220/1000, Cost: 3.0779\n", + " and the parameters are [-2.11063178 2.96258875] -3.7376384550540354 ;\n", + "Epoch 220/1000, Cost: 3.7662\n", + " and the parameters are [-2.11060375 2.96262939] -3.737667942499741 ;\n", + "Epoch 220/1000, Cost: 4.7503\n", + " and the parameters are [-2.11060311 2.96260326] -3.7377385810655603 ;\n", + "Epoch 220/1000, Cost: 4.2849\n", + " and the parameters are [-2.11061445 2.96263677] -3.7377713138223263 ;\n", + "Epoch 220/1000, Cost: 4.1400\n", + " and the parameters are [-2.11061264 2.96279012] -3.7377090963948216 ;\n", + "Epoch 220/1000, Cost: 5.1257\n", + " and the parameters are [-2.11065234 2.96267898] -3.737830203992437 ;\n", + "Epoch 220/1000, Cost: 4.5881\n", + " and the parameters are [-2.11068032 2.96279122] -3.737804156004567 ;\n", + "Epoch 220/1000, Cost: 3.8004\n", + " and the parameters are [-2.11075048 2.96272405] -3.737877791499435 ;\n", + "Epoch 220/1000, Cost: 5.0377\n", + " and the parameters are [-2.11066478 2.96278858] -3.7379468255651753 ;\n", + "Epoch 220/1000, Cost: 3.2982\n", + " and the parameters are [-2.11062553 2.96290981] -3.7379413596222206 ;\n", + "Epoch 220/1000, Cost: 6.3498\n", + " and the parameters are [-2.11066298 2.96296746] -3.737924664131712 ;\n", + "Epoch 220/1000, Cost: 3.4978\n", + " and the parameters are [-2.11065378 2.96299277] -3.7379757790329573 ;\n", + "Epoch 220/1000, Cost: 4.5207\n", + " and the parameters are [-2.11071314 2.96305453] -3.7379629907927714 ;\n", + "Epoch 220/1000, Cost: 1.7299\n", + " and the parameters are [-2.11073701 2.96308432] -3.737982813733456 ;\n", + "Epoch 220/1000, Cost: 1.7437\n", + " and the parameters are [-2.11073428 2.96314743] -3.7379881389975895 ;\n", + "Epoch 220/1000, Cost: 10.1795\n", + " and the parameters are [-2.11073867 2.96305635] -3.7380692755339733 ;\n", + "Epoch 220/1000, Cost: 4.7957\n", + " and the parameters are [-2.11072145 2.96308325] -3.738114624693437 ;\n", + "Epoch 220/1000, Cost: 7.0475\n", + " and the parameters are [-2.11080647 2.96306448] -3.738102669268927 ;\n", + "Epoch 220/1000, Cost: 5.8025\n", + " and the parameters are [-2.11077309 2.96302196] -3.738198880496553 ;\n", + "Epoch 220/1000, Cost: 4.3348\n", + " and the parameters are [-2.11076879 2.96316489] -3.738144125971145 ;\n", + "Epoch 220/1000, Cost: 3.4348\n", + " and the parameters are [-2.11077476 2.96311681] -3.738241045342182 ;\n", + "Epoch 220/1000, Cost: 2.8628\n", + " and the parameters are [-2.11072141 2.96311431] -3.7383281185492314 ;\n", + "Epoch 220/1000, Cost: 3.3793\n", + " and the parameters are [-2.11075402 2.96311449] -3.7383829629703906 ;\n", + "Epoch 220/1000, Cost: 4.3973\n", + " and the parameters are [-2.11067488 2.96311306] -3.7384780770391695 ;\n", + "Epoch 220/1000, Cost: 4.9759\n", + " and the parameters are [-2.11073556 2.96305055] -3.7385459585297123 ;\n", + "Epoch 220/1000, Cost: 3.3161\n", + " and the parameters are [-2.11077965 2.96298293] -3.7386288633413396 ;\n", + "Epoch 220/1000, Cost: 6.7529\n", + " and the parameters are [-2.11095793 2.96266501] -3.73877634788609 ;\n", + "Epoch 220/1000, Cost: 1.8521\n", + " and the parameters are [-2.11096867 2.96273548] -3.738770591964482 ;\n", + "Epoch 220/1000, Cost: 4.8693\n", + " and the parameters are [-2.11102228 2.96275505] -3.7387713003414667 ;\n", + "Epoch 220/1000, Cost: 3.9703\n", + " and the parameters are [-2.11099727 2.96285337] -3.7387661247853474 ;\n", + "Epoch 220/1000, Cost: 4.3282\n", + " and the parameters are [-2.11103455 2.96290809] -3.7387761854335575 ;\n", + "Epoch 220/1000, Cost: 2.8588\n", + " and the parameters are [-2.11106913 2.9629201 ] -3.7388086769859545 ;\n", + "Epoch 220/1000, Cost: 3.5640\n", + " and the parameters are [-2.11107205 2.96301091] -3.7388121170321478 ;\n", + "Epoch 220/1000, Cost: 6.9561\n", + " and the parameters are [-2.11104442 2.96302146] -3.738855155591712 ;\n", + "Epoch 220/1000, Cost: 4.5008\n", + " and the parameters are [-2.11105662 2.96310774] -3.738844056273327 ;\n", + "Epoch 220/1000, Cost: 6.5041\n", + " and the parameters are [-2.11108549 2.96314683] -3.7388006422860305 ;\n", + "Epoch 220/1000, Cost: 4.0620\n", + " and the parameters are [-2.11106082 2.96316896] -3.7388539300383585 ;\n", + "Epoch 220/1000, Cost: 5.9068\n", + " and the parameters are [-2.11101907 2.96308009] -3.7389737816709427 ;\n", + "Epoch 220/1000, Cost: 3.2687\n", + " and the parameters are [-2.11104388 2.96309169] -3.7389798800432996 ;\n", + "Epoch 220/1000, Cost: 3.7017\n", + " and the parameters are [-2.1109975 2.96324717] -3.7389501605292486 ;\n", + "Epoch 220/1000, Cost: 2.9233\n", + " and the parameters are [-2.1110192 2.96332933] -3.7389213092566638 ;\n", + "Epoch 220/1000, Cost: 6.0556\n", + " and the parameters are [-2.11112187 2.96320579] -3.738988125854019 ;\n", + "Epoch 220/1000, Cost: 3.9014\n", + " and the parameters are [-2.11110819 2.96323937] -3.7390402384461527 ;\n", + "Epoch 220/1000, Cost: 4.0801\n", + " and the parameters are [-2.11110311 2.96321195] -3.7391102875263234 ;\n", + "Epoch 220/1000, Cost: 2.4437\n", + " and the parameters are [-2.11109397 2.96326201] -3.7391456302587627 ;\n", + "Epoch 220/1000, Cost: 5.0361\n", + " and the parameters are [-2.11112536 2.96318832] -3.739230145253373 ;\n", + "Epoch 220/1000, Cost: 3.0529\n", + " and the parameters are [-2.11110001 2.96323773] -3.739272917245045 ;\n", + "Epoch 220/1000, Cost: 4.4550\n", + " and the parameters are [-2.11114542 2.96314599] -3.7393895489866336 ;\n", + "Epoch 220/1000, Cost: 4.8398\n", + " and the parameters are [-2.11123839 2.9630193 ] -3.7394817748028726 ;\n", + "Epoch 220/1000, Cost: 4.2677\n", + " and the parameters are [-2.11134228 2.96297252] -3.739500723243345 ;\n", + "Epoch 220/1000, Cost: 5.7451\n", + " and the parameters are [-2.11139063 2.96285403] -3.7395936364586233 ;\n", + "Epoch 220/1000, Cost: 2.1912\n", + " and the parameters are [-2.11146081 2.96285991] -3.739609026048803 ;\n", + "Epoch 220/1000, Cost: 8.5680\n", + " and the parameters are [-2.11151382 2.96284451] -3.7396112485750668 ;\n", + "Epoch 220/1000, Cost: 2.5232\n", + " and the parameters are [-2.11152706 2.96292207] -3.7396022828006847 ;\n", + "Epoch 230/1000, Cost: 1.5349\n", + " and the parameters are [-2.14119101 2.99894773] -3.7923366028555097 ;\n", + "Epoch 230/1000, Cost: 5.2681\n", + " and the parameters are [-2.14121999 2.99904005] -3.792278729597684 ;\n", + "Epoch 230/1000, Cost: 4.9066\n", + " and the parameters are [-2.14131148 2.99894251] -3.7923652819988947 ;\n", + "Epoch 230/1000, Cost: 3.2657\n", + " and the parameters are [-2.14135027 2.99895512] -3.7923946490618548 ;\n", + "Epoch 230/1000, Cost: 3.6069\n", + " and the parameters are [-2.1413677 2.99905517] -3.792358513638744 ;\n", + "Epoch 230/1000, Cost: 3.7338\n", + " and the parameters are [-2.1413224 2.99916401] -3.79236609363451 ;\n", + "Epoch 230/1000, Cost: 3.8080\n", + " and the parameters are [-2.14136874 2.99911863] -3.79244449550819 ;\n", + "Epoch 230/1000, Cost: 4.4390\n", + " and the parameters are [-2.14133175 2.9993035 ] -3.792385464280741 ;\n", + "Epoch 230/1000, Cost: 2.3223\n", + " and the parameters are [-2.14138539 2.99932151] -3.792393648432353 ;\n", + "Epoch 230/1000, Cost: 4.7094\n", + " and the parameters are [-2.1414907 2.99926517] -3.792443742311932 ;\n", + "Epoch 230/1000, Cost: 7.0066\n", + " and the parameters are [-2.14151139 2.99910845] -3.792570407434652 ;\n", + "Epoch 230/1000, Cost: 2.7313\n", + " and the parameters are [-2.14149658 2.99910449] -3.792643546894197 ;\n", + "Epoch 230/1000, Cost: 2.8763\n", + " and the parameters are [-2.14150896 2.9991516 ] -3.7926671940758134 ;\n", + "Epoch 230/1000, Cost: 4.4316\n", + " and the parameters are [-2.1416186 2.99915347] -3.7926751338775704 ;\n", + "Epoch 230/1000, Cost: 2.1025\n", + " and the parameters are [-2.14162677 2.99918056] -3.792699266829049 ;\n", + "Epoch 230/1000, Cost: 2.3219\n", + " and the parameters are [-2.14165695 2.99925233] -3.7926821617895414 ;\n", + "Epoch 230/1000, Cost: 2.5560\n", + " and the parameters are [-2.14163112 2.9993133 ] -3.7927041257460323 ;\n", + "Epoch 230/1000, Cost: 4.3629\n", + " and the parameters are [-2.14162942 2.99935461] -3.792734961284611 ;\n", + "Epoch 230/1000, Cost: 4.5016\n", + " and the parameters are [-2.14164463 2.99938938] -3.792752653372949 ;\n", + "Epoch 230/1000, Cost: 5.3353\n", + " and the parameters are [-2.141708 2.9993739] -3.7927587755874677 ;\n", + "Epoch 230/1000, Cost: 3.2236\n", + " and the parameters are [-2.14170182 2.99943568] -3.7927712556506816 ;\n", + "Epoch 230/1000, Cost: 4.5823\n", + " and the parameters are [-2.14178245 2.99930018] -3.79289917797755 ;\n", + "Epoch 230/1000, Cost: 3.5859\n", + " and the parameters are [-2.14181148 2.99925056] -3.7929812749200558 ;\n", + "Epoch 230/1000, Cost: 3.6392\n", + " and the parameters are [-2.14181931 2.99923468] -3.793052559016852 ;\n", + "Epoch 230/1000, Cost: 5.1467\n", + " and the parameters are [-2.14191947 2.99920599] -3.7930782357897845 ;\n", + "Epoch 230/1000, Cost: 4.0889\n", + " and the parameters are [-2.14200276 2.99925836] -3.7930665440978117 ;\n", + "Epoch 230/1000, Cost: 4.0922\n", + " and the parameters are [-2.14201221 2.99931658] -3.793061771554549 ;\n", + "Epoch 230/1000, Cost: 3.6684\n", + " and the parameters are [-2.14203785 2.99926832] -3.793140842048638 ;\n", + "Epoch 230/1000, Cost: 2.8048\n", + " and the parameters are [-2.1420532 2.99929378] -3.793164543762886 ;\n", + "Epoch 230/1000, Cost: 4.7385\n", + " and the parameters are [-2.14206192 2.99934055] -3.7931822771704984 ;\n", + "Epoch 230/1000, Cost: 4.5663\n", + " and the parameters are [-2.14198396 2.99954787] -3.793123628364901 ;\n", + "Epoch 230/1000, Cost: 3.5996\n", + " and the parameters are [-2.14204175 2.99970208] -3.793022231568837 ;\n", + "Epoch 230/1000, Cost: 4.4686\n", + " and the parameters are [-2.1421162 2.99955218] -3.793151305974179 ;\n", + "Epoch 230/1000, Cost: 3.1885\n", + " and the parameters are [-2.14218216 2.99957021] -3.7931731983452064 ;\n", + "Epoch 230/1000, Cost: 2.6899\n", + " and the parameters are [-2.14219809 2.99963986] -3.793169689600935 ;\n", + "Epoch 230/1000, Cost: 4.1058\n", + " and the parameters are [-2.14227233 2.99958997] -3.793224094515977 ;\n", + "Epoch 230/1000, Cost: 4.2389\n", + " and the parameters are [-2.14231174 2.9995306 ] -3.7933224507241627 ;\n", + "Epoch 230/1000, Cost: 5.2086\n", + " and the parameters are [-2.14238769 2.99953861] -3.7933211762276047 ;\n", + "Epoch 230/1000, Cost: 2.9406\n", + " and the parameters are [-2.14239847 2.99965822] -3.7932794378097547 ;\n", + "Epoch 230/1000, Cost: 4.7398\n", + " and the parameters are [-2.14246716 2.99961096] -3.793345575039268 ;\n", + "Epoch 230/1000, Cost: 4.5875\n", + " and the parameters are [-2.14258909 2.99947746] -3.793429357877904 ;\n", + "Epoch 230/1000, Cost: 6.1919\n", + " and the parameters are [-2.14256556 2.99953305] -3.79344077865855 ;\n", + "Epoch 230/1000, Cost: 3.7029\n", + " and the parameters are [-2.14258209 2.99963528] -3.7934041562364653 ;\n", + "Epoch 230/1000, Cost: 5.1724\n", + " and the parameters are [-2.14275248 2.99950859] -3.793462240364727 ;\n", + "Epoch 230/1000, Cost: 6.4655\n", + " and the parameters are [-2.14287835 2.99925272] -3.7936413414026084 ;\n", + "Epoch 230/1000, Cost: 3.1208\n", + " and the parameters are [-2.14291709 2.99938402] -3.793580034149101 ;\n", + "Epoch 230/1000, Cost: 6.1432\n", + " and the parameters are [-2.14293288 2.99934167] -3.793643146326585 ;\n", + "Epoch 230/1000, Cost: 4.9166\n", + " and the parameters are [-2.14298402 2.99931886] -3.793675456052084 ;\n", + "Epoch 230/1000, Cost: 5.4486\n", + " and the parameters are [-2.14310909 2.9991364 ] -3.793783736797308 ;\n", + "Epoch 230/1000, Cost: 4.7155\n", + " and the parameters are [-2.14317096 2.99906824] -3.7938692552405553 ;\n", + "Epoch 230/1000, Cost: 2.9656\n", + " and the parameters are [-2.14320224 2.99913863] -3.793854863838372 ;\n", + "Epoch 230/1000, Cost: 5.8378\n", + " and the parameters are [-2.14317649 2.99919436] -3.793860349910198 ;\n", + "Epoch 230/1000, Cost: 2.4967\n", + " and the parameters are [-2.14321476 2.99920199] -3.7938883114652326 ;\n", + "Epoch 230/1000, Cost: 2.5076\n", + " and the parameters are [-2.14324628 2.9991896 ] -3.7939413441300163 ;\n", + "Epoch 230/1000, Cost: 6.1914\n", + " and the parameters are [-2.14322985 2.99912466] -3.7940588994918647 ;\n", + "Epoch 230/1000, Cost: 2.5919\n", + " and the parameters are [-2.14327033 2.99912313] -3.7940914773053795 ;\n", + "Epoch 230/1000, Cost: 2.7702\n", + " and the parameters are [-2.14325922 2.99925814] -3.7940411092996262 ;\n", + "Epoch 230/1000, Cost: 5.3351\n", + " and the parameters are [-2.14316364 2.99929172] -3.7941316670703076 ;\n", + "Epoch 230/1000, Cost: 2.7236\n", + " and the parameters are [-2.14318685 2.99933851] -3.7941528635903223 ;\n", + "Epoch 230/1000, Cost: 4.9908\n", + " and the parameters are [-2.14325782 2.99924156] -3.794253457344853 ;\n", + "Epoch 230/1000, Cost: 3.5793\n", + " and the parameters are [-2.1433174 2.99922935] -3.7942975023311933 ;\n", + "Epoch 230/1000, Cost: 2.6306\n", + " and the parameters are [-2.14332873 2.99925612] -3.7943388158075115 ;\n", + "Epoch 230/1000, Cost: 5.7026\n", + " and the parameters are [-2.14337691 2.99926876] -3.7943455028997546 ;\n", + "Epoch 230/1000, Cost: 5.3918\n", + " and the parameters are [-2.14332727 2.99939569] -3.7943212841096665 ;\n", + "Epoch 230/1000, Cost: 5.3610\n", + " and the parameters are [-2.14339238 2.99934815] -3.7943836663761847 ;\n", + "Epoch 230/1000, Cost: 2.3597\n", + " and the parameters are [-2.14344862 2.99937802] -3.7943867438475447 ;\n", + "Epoch 230/1000, Cost: 3.0990\n", + " and the parameters are [-2.14345737 2.99943558] -3.794405441559766 ;\n", + "Epoch 230/1000, Cost: 6.6516\n", + " and the parameters are [-2.14347657 2.99940667] -3.7944429894462286 ;\n", + "Epoch 230/1000, Cost: 3.8462\n", + " and the parameters are [-2.14347595 2.99947728] -3.7944498493580667 ;\n", + "Epoch 230/1000, Cost: 3.4223\n", + " and the parameters are [-2.14351164 2.99954021] -3.7944367977801914 ;\n", + "Epoch 230/1000, Cost: 3.0239\n", + " and the parameters are [-2.14345883 2.99958453] -3.794478125134206 ;\n", + "Epoch 230/1000, Cost: 2.0204\n", + " and the parameters are [-2.14347415 2.99962583] -3.7944953782457813 ;\n", + "Epoch 230/1000, Cost: 4.7744\n", + " and the parameters are [-2.14350422 2.99976866] -3.7944078094868035 ;\n", + "Epoch 230/1000, Cost: 4.1226\n", + " and the parameters are [-2.14360399 2.99980826] -3.7943733748891506 ;\n", + "Epoch 230/1000, Cost: 3.2580\n", + " and the parameters are [-2.1435998 2.999887 ] -3.794369331984726 ;\n", + "Epoch 230/1000, Cost: 3.6439\n", + " and the parameters are [-2.14360686 2.99992147] -3.794401026297606 ;\n", + "Epoch 230/1000, Cost: 2.6789\n", + " and the parameters are [-2.1436299 2.99999337] -3.794385683738305 ;\n", + "Epoch 230/1000, Cost: 7.1860\n", + " and the parameters are [-2.14359742 3.00002954] -3.794443357636099 ;\n", + "Epoch 230/1000, Cost: 3.8451\n", + " and the parameters are [-2.14359582 3.00010707] -3.7944470851381524 ;\n", + "Epoch 230/1000, Cost: 3.1676\n", + " and the parameters are [-2.1436576 3.00007378] -3.794502965228916 ;\n", + "Epoch 230/1000, Cost: 2.6244\n", + " and the parameters are [-2.14369791 3.00019666] -3.7944402546351164 ;\n", + "Epoch 230/1000, Cost: 7.1161\n", + " and the parameters are [-2.14357794 3.00021918] -3.794511923043972 ;\n", + "Epoch 230/1000, Cost: 3.6951\n", + " and the parameters are [-2.14359266 3.00040883] -3.7944136845407463 ;\n", + "Epoch 230/1000, Cost: 3.6606\n", + " and the parameters are [-2.1437064 3.0002457] -3.7945009023713796 ;\n", + "Epoch 230/1000, Cost: 2.7657\n", + " and the parameters are [-2.14374761 3.00026188] -3.7945256853159988 ;\n", + "Epoch 230/1000, Cost: 2.1403\n", + " and the parameters are [-2.14379374 3.00029079] -3.7945288506879846 ;\n", + "Epoch 230/1000, Cost: 2.5933\n", + " and the parameters are [-2.14386603 3.00037261] -3.7944783046633668 ;\n", + "Epoch 230/1000, Cost: 5.5866\n", + " and the parameters are [-2.14394504 3.00041643] -3.794459879199961 ;\n", + "Epoch 230/1000, Cost: 2.6119\n", + " and the parameters are [-2.14393329 3.00046321] -3.794484021776529 ;\n", + "Epoch 230/1000, Cost: 4.6267\n", + " and the parameters are [-2.14400893 3.00038462] -3.7945259210676334 ;\n", + "Epoch 230/1000, Cost: 6.0146\n", + " and the parameters are [-2.14402506 3.00026738] -3.794649728484874 ;\n", + "Epoch 230/1000, Cost: 2.1872\n", + " and the parameters are [-2.14400911 3.00040296] -3.7946109728991755 ;\n", + "Epoch 230/1000, Cost: 3.6759\n", + " and the parameters are [-2.14398303 3.00047073] -3.7946223549242237 ;\n", + "Epoch 230/1000, Cost: 3.4696\n", + " and the parameters are [-2.14391659 3.00048165] -3.79471534067075 ;\n", + "Epoch 230/1000, Cost: 3.4131\n", + " and the parameters are [-2.1439174 3.00055516] -3.794733989230074 ;\n", + "Epoch 230/1000, Cost: 2.4114\n", + " and the parameters are [-2.14394549 3.0005165 ] -3.794815415780919 ;\n", + "Epoch 230/1000, Cost: 3.2871\n", + " and the parameters are [-2.14395945 3.00052522] -3.7948612462396234 ;\n", + "Epoch 230/1000, Cost: 3.3124\n", + " and the parameters are [-2.14394288 3.00060007] -3.7948748651810598 ;\n", + "Epoch 230/1000, Cost: 6.4229\n", + " and the parameters are [-2.14394061 3.00064753] -3.7948399906977195 ;\n", + "Epoch 230/1000, Cost: 4.3492\n", + " and the parameters are [-2.14391719 3.00059995] -3.7949340114574115 ;\n", + "Epoch 230/1000, Cost: 7.4702\n", + " and the parameters are [-2.14397439 3.00044763] -3.795044405993332 ;\n", + "Epoch 230/1000, Cost: 5.1672\n", + " and the parameters are [-2.1439288 3.00057623] -3.7950213725551722 ;\n", + "Epoch 230/1000, Cost: 3.9827\n", + " and the parameters are [-2.14396217 3.00073335] -3.7949411872374763 ;\n", + "Epoch 230/1000, Cost: 5.1988\n", + " and the parameters are [-2.14395533 3.00088482] -3.794847729342862 ;\n", + "Epoch 230/1000, Cost: 4.5552\n", + " and the parameters are [-2.14389433 3.00102906] -3.7947985638294375 ;\n", + "Epoch 230/1000, Cost: 4.3909\n", + " and the parameters are [-2.143956 3.00100779] -3.794837400109187 ;\n", + "Epoch 230/1000, Cost: 3.7839\n", + " and the parameters are [-2.14393928 3.00097305] -3.794915382370121 ;\n", + "Epoch 230/1000, Cost: 3.1944\n", + " and the parameters are [-2.14396232 3.00097128] -3.7949715191725937 ;\n", + "Epoch 230/1000, Cost: 4.4005\n", + " and the parameters are [-2.14396359 3.00098597] -3.795028314944251 ;\n", + "Epoch 230/1000, Cost: 5.6028\n", + " and the parameters are [-2.14406696 3.0008196 ] -3.7951386674859173 ;\n", + "Epoch 230/1000, Cost: 5.6933\n", + " and the parameters are [-2.14401959 3.0007703 ] -3.7952254739339955 ;\n", + "Epoch 230/1000, Cost: 6.9916\n", + " and the parameters are [-2.1440258 3.00092763] -3.7951400379669202 ;\n", + "Epoch 230/1000, Cost: 4.4770\n", + " and the parameters are [-2.14402541 3.0009878 ] -3.7951525153958476 ;\n", + "Epoch 230/1000, Cost: 6.3521\n", + " and the parameters are [-2.14399038 3.00093095] -3.7952757192778765 ;\n", + "Epoch 230/1000, Cost: 1.9302\n", + " and the parameters are [-2.14399962 3.00102258] -3.795258458244189 ;\n", + "Epoch 230/1000, Cost: 5.7771\n", + " and the parameters are [-2.14400561 3.00102415] -3.79530065676597 ;\n", + "Epoch 230/1000, Cost: 7.2910\n", + " and the parameters are [-2.14412784 3.00089661] -3.795358585931752 ;\n", + "Epoch 230/1000, Cost: 4.0195\n", + " and the parameters are [-2.14415619 3.0008692 ] -3.795434884531312 ;\n", + "Epoch 230/1000, Cost: 2.7788\n", + " and the parameters are [-2.1441398 3.00088261] -3.7954891603058565 ;\n", + "Epoch 230/1000, Cost: 3.5965\n", + " and the parameters are [-2.14417887 3.00094138] -3.7954769255378054 ;\n", + "Epoch 230/1000, Cost: 5.6839\n", + " and the parameters are [-2.1441583 3.00101546] -3.7954906483762114 ;\n", + "Epoch 230/1000, Cost: 2.7034\n", + " and the parameters are [-2.14410105 3.00114381] -3.795495831301098 ;\n", + "Epoch 230/1000, Cost: 2.7138\n", + " and the parameters are [-2.14404057 3.00125119] -3.7955061483529398 ;\n", + "Epoch 230/1000, Cost: 2.1270\n", + " and the parameters are [-2.1440256 3.00134725] -3.79549336707041 ;\n", + "Epoch 230/1000, Cost: 4.0282\n", + " and the parameters are [-2.14394963 3.00148854] -3.7954959663353267 ;\n", + "Epoch 230/1000, Cost: 2.6774\n", + " and the parameters are [-2.14395467 3.00150792] -3.7955439179191273 ;\n", + "Epoch 230/1000, Cost: 2.8395\n", + " and the parameters are [-2.14395098 3.00158065] -3.79554569205815 ;\n", + "Epoch 230/1000, Cost: 5.0874\n", + " and the parameters are [-2.14398669 3.00161848] -3.7955419026345454 ;\n", + "Epoch 230/1000, Cost: 5.0500\n", + " and the parameters are [-2.14406931 3.00147159] -3.7956375924391716 ;\n", + "Epoch 230/1000, Cost: 4.0843\n", + " and the parameters are [-2.14406708 3.0014564 ] -3.795699126975744 ;\n", + "Epoch 230/1000, Cost: 4.5215\n", + " and the parameters are [-2.14414665 3.00129872] -3.795793555425993 ;\n", + "Epoch 230/1000, Cost: 3.5696\n", + " and the parameters are [-2.14412809 3.00127577] -3.795874533091078 ;\n", + "Epoch 230/1000, Cost: 2.1467\n", + " and the parameters are [-2.14415306 3.00136164] -3.795855184677685 ;\n", + "Epoch 230/1000, Cost: 4.8345\n", + " and the parameters are [-2.14413419 3.00138645] -3.7959063867798766 ;\n", + "Epoch 230/1000, Cost: 6.6181\n", + " and the parameters are [-2.144112 3.00127797] -3.7960270672506233 ;\n", + "Epoch 230/1000, Cost: 1.8425\n", + " and the parameters are [-2.14412753 3.00132164] -3.796036953973176 ;\n", + "Epoch 230/1000, Cost: 2.5096\n", + " and the parameters are [-2.14410588 3.0013929 ] -3.7960420216494675 ;\n", + "Epoch 230/1000, Cost: 3.1970\n", + " and the parameters are [-2.14409763 3.00147084] -3.796053459720241 ;\n", + "Epoch 230/1000, Cost: 2.6914\n", + " and the parameters are [-2.14409538 3.0015749 ] -3.7960367084208446 ;\n", + "Epoch 230/1000, Cost: 4.1517\n", + " and the parameters are [-2.14410288 3.00150948] -3.796134629702017 ;\n", + "Epoch 230/1000, Cost: 7.6770\n", + " and the parameters are [-2.14401484 3.0015454 ] -3.796163649247024 ;\n", + "Epoch 230/1000, Cost: 4.8722\n", + " and the parameters are [-2.14403167 3.00151278] -3.796229460528827 ;\n", + "Epoch 230/1000, Cost: 1.4291\n", + " and the parameters are [-2.14401309 3.00160339] -3.796216033371374 ;\n", + "Epoch 230/1000, Cost: 3.2847\n", + " and the parameters are [-2.14405226 3.0016554 ] -3.796198929416008 ;\n", + "Epoch 230/1000, Cost: 3.2320\n", + " and the parameters are [-2.144057 3.00162796] -3.7962699273541567 ;\n", + "Epoch 230/1000, Cost: 2.5426\n", + " and the parameters are [-2.14409902 3.00164801] -3.7962891921701005 ;\n", + "Epoch 230/1000, Cost: 4.9715\n", + " and the parameters are [-2.1441815 3.00159786] -3.796334032461877 ;\n", + "Epoch 230/1000, Cost: 6.0157\n", + " and the parameters are [-2.14419226 3.0016561 ] -3.7963488102506253 ;\n", + "Epoch 230/1000, Cost: 3.4844\n", + " and the parameters are [-2.14420069 3.00163297] -3.796423908583725 ;\n", + "Epoch 230/1000, Cost: 6.3252\n", + " and the parameters are [-2.14416753 3.00168505] -3.7964407177128927 ;\n", + "Epoch 230/1000, Cost: 6.2289\n", + " and the parameters are [-2.1442441 3.00163535] -3.796480215902493 ;\n", + "Epoch 230/1000, Cost: 2.6021\n", + " and the parameters are [-2.14426214 3.00172756] -3.7964541217776677 ;\n", + "Epoch 230/1000, Cost: 2.5561\n", + " and the parameters are [-2.14424603 3.00180783] -3.796459428937024 ;\n", + "Epoch 230/1000, Cost: 4.0529\n", + " and the parameters are [-2.14427374 3.00182032] -3.796480374592731 ;\n", + "Epoch 230/1000, Cost: 3.8412\n", + " and the parameters are [-2.14430422 3.00180427] -3.796537435842503 ;\n", + "Epoch 230/1000, Cost: 2.5464\n", + " and the parameters are [-2.14429445 3.00181484] -3.7965884297293706 ;\n", + "Epoch 230/1000, Cost: 3.6333\n", + " and the parameters are [-2.14428421 3.00173076] -3.796693966946039 ;\n", + "Epoch 230/1000, Cost: 2.9117\n", + " and the parameters are [-2.14432284 3.00166783] -3.7967833765406174 ;\n", + "Epoch 230/1000, Cost: 2.2237\n", + " and the parameters are [-2.14429832 3.0017284 ] -3.79680438350099 ;\n", + "Epoch 230/1000, Cost: 6.2573\n", + " and the parameters are [-2.14425986 3.00177349] -3.796859859468537 ;\n", + "Epoch 230/1000, Cost: 6.6459\n", + " and the parameters are [-2.14423853 3.00188958] -3.796814441366196 ;\n", + "Epoch 230/1000, Cost: 3.5502\n", + " and the parameters are [-2.14414697 3.00197298] -3.7968657796591385 ;\n", + "Epoch 230/1000, Cost: 5.1895\n", + " and the parameters are [-2.14417072 3.00201482] -3.7968635967500575 ;\n", + "Epoch 230/1000, Cost: 4.5793\n", + " and the parameters are [-2.14412378 3.00216728] -3.796841748476399 ;\n", + "Epoch 230/1000, Cost: 4.4346\n", + " and the parameters are [-2.144046 3.00238813] -3.7967658884417137 ;\n", + "Epoch 230/1000, Cost: 3.2897\n", + " and the parameters are [-2.14408704 3.00238148] -3.7968101946852646 ;\n", + "Epoch 230/1000, Cost: 3.0350\n", + " and the parameters are [-2.14413887 3.0023468 ] -3.7968648397059876 ;\n", + "Epoch 230/1000, Cost: 4.5568\n", + " and the parameters are [-2.14412655 3.00234625] -3.7969029485475527 ;\n", + "Epoch 230/1000, Cost: 3.8176\n", + " and the parameters are [-2.14419717 3.00237749] -3.7969004043342 ;\n", + "Epoch 230/1000, Cost: 3.7979\n", + " and the parameters are [-2.1442399 3.00233273] -3.7969742543283407 ;\n", + "Epoch 230/1000, Cost: 4.4633\n", + " and the parameters are [-2.14423805 3.0024788 ] -3.79692133205699 ;\n", + "Epoch 230/1000, Cost: 9.0297\n", + " and the parameters are [-2.14419717 3.00257961] -3.7969000108522657 ;\n", + "Epoch 230/1000, Cost: 3.5476\n", + " and the parameters are [-2.14417377 3.00271666] -3.796872546252192 ;\n", + "Epoch 230/1000, Cost: 5.5891\n", + " and the parameters are [-2.14415438 3.00264106] -3.7969943544269764 ;\n", + "Epoch 230/1000, Cost: 2.4143\n", + " and the parameters are [-2.14415378 3.00266617] -3.7970376311251264 ;\n", + "Epoch 230/1000, Cost: 4.1545\n", + " and the parameters are [-2.14418896 3.00260408] -3.7971207607755932 ;\n", + "Epoch 230/1000, Cost: 4.0181\n", + " and the parameters are [-2.14426845 3.00251443] -3.7972206905715464 ;\n", + "Epoch 230/1000, Cost: 3.1686\n", + " and the parameters are [-2.14426287 3.00245134] -3.7973121549481044 ;\n", + "Epoch 230/1000, Cost: 1.9421\n", + " and the parameters are [-2.14428494 3.00254238] -3.797292128894459 ;\n", + "Epoch 230/1000, Cost: 4.3327\n", + " and the parameters are [-2.14436694 3.0024225 ] -3.797373475391627 ;\n", + "Epoch 230/1000, Cost: 2.1471\n", + " and the parameters are [-2.144393 3.00251534] -3.7973253727893694 ;\n", + "Epoch 230/1000, Cost: 3.5532\n", + " and the parameters are [-2.14440811 3.00256853] -3.7973470492213415 ;\n", + "Epoch 230/1000, Cost: 4.3985\n", + " and the parameters are [-2.14440809 3.00254757] -3.797406211241878 ;\n", + "Epoch 230/1000, Cost: 3.6849\n", + " and the parameters are [-2.14443565 3.00263569] -3.7973756738494204 ;\n", + "Epoch 230/1000, Cost: 3.3937\n", + " and the parameters are [-2.14448091 3.00266199] -3.7973943663946863 ;\n", + "Epoch 230/1000, Cost: 6.1507\n", + " and the parameters are [-2.14438883 3.00263294] -3.7974960410696696 ;\n", + "Epoch 230/1000, Cost: 6.8044\n", + " and the parameters are [-2.14453832 3.00241803] -3.7976406081970038 ;\n", + "Epoch 230/1000, Cost: 3.9332\n", + " and the parameters are [-2.14457434 3.00242922] -3.797664569419566 ;\n", + "Epoch 230/1000, Cost: 3.3729\n", + " and the parameters are [-2.14457612 3.00250912] -3.7976526992776143 ;\n", + "Epoch 230/1000, Cost: 4.8495\n", + " and the parameters are [-2.14456442 3.00255975] -3.7976340512492452 ;\n", + "Epoch 230/1000, Cost: 3.6675\n", + " and the parameters are [-2.14459226 3.00260587] -3.7976259088901236 ;\n", + "Epoch 230/1000, Cost: 7.0604\n", + " and the parameters are [-2.14456799 3.00266799] -3.797620885599888 ;\n", + "Epoch 230/1000, Cost: 2.9753\n", + " and the parameters are [-2.14459627 3.00273518] -3.797615816800437 ;\n", + "Epoch 230/1000, Cost: 4.0150\n", + " and the parameters are [-2.14450693 3.00274358] -3.7977109270105407 ;\n", + "Epoch 230/1000, Cost: 5.1611\n", + " and the parameters are [-2.14452229 3.00276437] -3.7977560684457945 ;\n", + "Epoch 230/1000, Cost: 4.4361\n", + " and the parameters are [-2.14446067 3.00277182] -3.7978473919709725 ;\n", + "Epoch 230/1000, Cost: 2.3644\n", + " and the parameters are [-2.14446035 3.00281975] -3.7978746844136424 ;\n", + "Epoch 230/1000, Cost: 3.6749\n", + " and the parameters are [-2.14444538 3.00281291] -3.7979489090411978 ;\n", + "Epoch 230/1000, Cost: 5.4063\n", + " and the parameters are [-2.14440735 3.0029098 ] -3.7979516185019326 ;\n", + "Epoch 230/1000, Cost: 5.8595\n", + " and the parameters are [-2.14440624 3.00283463] -3.7980608461239944 ;\n", + "Epoch 240/1000, Cost: 5.6584\n", + " and the parameters are [-2.17301287 3.03741012] -3.8488034949274588 ;\n", + "Epoch 240/1000, Cost: 3.3924\n", + " and the parameters are [-2.1729261 3.0375158] -3.8488297111024727 ;\n", + "Epoch 240/1000, Cost: 2.5324\n", + " and the parameters are [-2.17292557 3.03755713] -3.848854818965528 ;\n", + "Epoch 240/1000, Cost: 4.7184\n", + " and the parameters are [-2.17297135 3.03751122] -3.8489159201122045 ;\n", + "Epoch 240/1000, Cost: 2.6299\n", + " and the parameters are [-2.17298203 3.03762042] -3.848895416546887 ;\n", + "Epoch 240/1000, Cost: 3.4491\n", + " and the parameters are [-2.17294364 3.03774973] -3.8488787172131613 ;\n", + "Epoch 240/1000, Cost: 3.3492\n", + " and the parameters are [-2.17295912 3.03779703] -3.8488897498492967 ;\n", + "Epoch 240/1000, Cost: 4.2438\n", + " and the parameters are [-2.17297414 3.0377575 ] -3.8489688146527814 ;\n", + "Epoch 240/1000, Cost: 3.6169\n", + " and the parameters are [-2.17298657 3.03776009] -3.849027681670255 ;\n", + "Epoch 240/1000, Cost: 2.1605\n", + " and the parameters are [-2.17300634 3.0377447 ] -3.8490765387305688 ;\n", + "Epoch 240/1000, Cost: 2.0548\n", + " and the parameters are [-2.1730524 3.0377646] -3.849095070791704 ;\n", + "Epoch 240/1000, Cost: 7.3467\n", + " and the parameters are [-2.17305632 3.03781335] -3.8490645824067777 ;\n", + "Epoch 240/1000, Cost: 4.4258\n", + " and the parameters are [-2.17305889 3.0377989 ] -3.84911175535293 ;\n", + "Epoch 240/1000, Cost: 3.0146\n", + " and the parameters are [-2.17314389 3.0378675 ] -3.8490735267382186 ;\n", + "Epoch 240/1000, Cost: 4.9446\n", + " and the parameters are [-2.17319823 3.03788761] -3.8490984434436797 ;\n", + "Epoch 240/1000, Cost: 2.6818\n", + " and the parameters are [-2.17325386 3.03793234] -3.849095663434669 ;\n", + "Epoch 240/1000, Cost: 3.4305\n", + " and the parameters are [-2.17325583 3.03799862] -3.8491117294659767 ;\n", + "Epoch 240/1000, Cost: 2.8152\n", + " and the parameters are [-2.17325262 3.03810029] -3.8491051176275803 ;\n", + "Epoch 240/1000, Cost: 3.7297\n", + " and the parameters are [-2.17330199 3.03812374] -3.849114631080323 ;\n", + "Epoch 240/1000, Cost: 2.8960\n", + " and the parameters are [-2.17333275 3.03818304] -3.8491065474577604 ;\n", + "Epoch 240/1000, Cost: 2.4357\n", + " and the parameters are [-2.17334479 3.03827138] -3.849080699837779 ;\n", + "Epoch 240/1000, Cost: 2.5413\n", + " and the parameters are [-2.17335556 3.03826549] -3.8491331325253175 ;\n", + "Epoch 240/1000, Cost: 2.6868\n", + " and the parameters are [-2.17333217 3.03825237] -3.849209828211071 ;\n", + "Epoch 240/1000, Cost: 3.2219\n", + " and the parameters are [-2.1733251 3.03826594] -3.849253533404137 ;\n", + "Epoch 240/1000, Cost: 2.7983\n", + " and the parameters are [-2.17337599 3.03821742] -3.84931312063304 ;\n", + "Epoch 240/1000, Cost: 3.1255\n", + " and the parameters are [-2.17340669 3.03830318] -3.849289881412875 ;\n", + "Epoch 240/1000, Cost: 4.5530\n", + " and the parameters are [-2.1733956 3.03833982] -3.849332878363189 ;\n", + "Epoch 240/1000, Cost: 3.1473\n", + " and the parameters are [-2.17339368 3.03832801] -3.8493897433189725 ;\n", + "Epoch 240/1000, Cost: 4.0221\n", + " and the parameters are [-2.17347264 3.03835635] -3.8493976810474706 ;\n", + "Epoch 240/1000, Cost: 4.4696\n", + " and the parameters are [-2.17349443 3.03834774] -3.849443465287853 ;\n", + "Epoch 240/1000, Cost: 10.1504\n", + " and the parameters are [-2.17350533 3.0383435 ] -3.8494416724979734 ;\n", + "Epoch 240/1000, Cost: 3.0049\n", + " and the parameters are [-2.17344209 3.03846527] -3.849434112100547 ;\n", + "Epoch 240/1000, Cost: 2.3841\n", + " and the parameters are [-2.17344685 3.03851091] -3.8494584506086507 ;\n", + "Epoch 240/1000, Cost: 4.8668\n", + " and the parameters are [-2.17353893 3.03849187] -3.849448602867422 ;\n", + "Epoch 240/1000, Cost: 3.2760\n", + " and the parameters are [-2.17369534 3.03837878] -3.849494361945698 ;\n", + "Epoch 240/1000, Cost: 3.0310\n", + " and the parameters are [-2.17369633 3.03846136] -3.8494875907555386 ;\n", + "Epoch 240/1000, Cost: 4.0359\n", + " and the parameters are [-2.17379374 3.03851807] -3.849431842386186 ;\n", + "Epoch 240/1000, Cost: 4.7618\n", + " and the parameters are [-2.17386989 3.03853229] -3.8494115704070357 ;\n", + "Epoch 240/1000, Cost: 1.6182\n", + " and the parameters are [-2.1738696 3.03854166] -3.8494487047280375 ;\n", + "Epoch 240/1000, Cost: 2.3866\n", + " and the parameters are [-2.17383073 3.038579 ] -3.8494934061515798 ;\n", + "Epoch 240/1000, Cost: 2.3296\n", + " and the parameters are [-2.17388394 3.03852645] -3.8495641495708344 ;\n", + "Epoch 240/1000, Cost: 4.5065\n", + " and the parameters are [-2.17385361 3.0385655 ] -3.849613476457118 ;\n", + "Epoch 240/1000, Cost: 2.5933\n", + " and the parameters are [-2.17386636 3.03867764] -3.8495797625513526 ;\n", + "Epoch 240/1000, Cost: 4.2670\n", + " and the parameters are [-2.17385752 3.03873108] -3.849589650055854 ;\n", + "Epoch 240/1000, Cost: 4.7643\n", + " and the parameters are [-2.17392653 3.03870286] -3.8496509269936934 ;\n", + "Epoch 240/1000, Cost: 2.8763\n", + " and the parameters are [-2.17398944 3.03878139] -3.8496127557299897 ;\n", + "Epoch 240/1000, Cost: 6.7417\n", + " and the parameters are [-2.17400245 3.03866918] -3.849734456417076 ;\n", + "Epoch 240/1000, Cost: 2.3677\n", + " and the parameters are [-2.17406346 3.03860572] -3.8497955670843083 ;\n", + "Epoch 240/1000, Cost: 3.1252\n", + " and the parameters are [-2.17401837 3.03860607] -3.8498777784140756 ;\n", + "Epoch 240/1000, Cost: 2.7039\n", + " and the parameters are [-2.17407544 3.03865197] -3.8498626344300226 ;\n", + "Epoch 240/1000, Cost: 7.1188\n", + " and the parameters are [-2.17403491 3.03860615] -3.849933362736607 ;\n", + "Epoch 240/1000, Cost: 4.0604\n", + " and the parameters are [-2.17410597 3.03846029] -3.8500621536122344 ;\n", + "Epoch 240/1000, Cost: 3.5611\n", + " and the parameters are [-2.1741495 3.03841221] -3.8501196479713213 ;\n", + "Epoch 240/1000, Cost: 5.6630\n", + " and the parameters are [-2.1740947 3.0384455] -3.8501622366225265 ;\n", + "Epoch 240/1000, Cost: 4.9764\n", + " and the parameters are [-2.1741323 3.03837114] -3.8502414946910792 ;\n", + "Epoch 240/1000, Cost: 2.1116\n", + " and the parameters are [-2.17416169 3.03844196] -3.850218190631361 ;\n", + "Epoch 240/1000, Cost: 2.9520\n", + " and the parameters are [-2.17419998 3.03848936] -3.850218227832229 ;\n", + "Epoch 240/1000, Cost: 4.4266\n", + " and the parameters are [-2.17418716 3.03845284] -3.8503095453764953 ;\n", + "Epoch 240/1000, Cost: 3.7955\n", + " and the parameters are [-2.17417445 3.0384277 ] -3.8503911478853476 ;\n", + "Epoch 240/1000, Cost: 3.7055\n", + " and the parameters are [-2.17420427 3.03843464] -3.8504204191778757 ;\n", + "Epoch 240/1000, Cost: 5.9005\n", + " and the parameters are [-2.17423913 3.03847858] -3.8503886978251822 ;\n", + "Epoch 240/1000, Cost: 2.6039\n", + " and the parameters are [-2.17420526 3.03859352] -3.8503694460476012 ;\n", + "Epoch 240/1000, Cost: 4.1102\n", + " and the parameters are [-2.17414351 3.03861358] -3.850434700414932 ;\n", + "Epoch 240/1000, Cost: 5.5561\n", + " and the parameters are [-2.17423354 3.03852222] -3.8505017845648726 ;\n", + "Epoch 240/1000, Cost: 3.3399\n", + " and the parameters are [-2.1742697 3.03866506] -3.850433265591709 ;\n", + "Epoch 240/1000, Cost: 4.0392\n", + " and the parameters are [-2.17425127 3.03884359] -3.850347261788595 ;\n", + "Epoch 240/1000, Cost: 2.2082\n", + " and the parameters are [-2.17428201 3.03884649] -3.8503880709514413 ;\n", + "Epoch 240/1000, Cost: 5.3496\n", + " and the parameters are [-2.17431476 3.03894243] -3.850347161251653 ;\n", + "Epoch 240/1000, Cost: 5.0305\n", + " and the parameters are [-2.17434316 3.03902429] -3.85031193037802 ;\n", + "Epoch 240/1000, Cost: 4.8323\n", + " and the parameters are [-2.17430202 3.0390052 ] -3.8503949284460113 ;\n", + "Epoch 240/1000, Cost: 3.6696\n", + " and the parameters are [-2.17436503 3.03901885] -3.850391732759933 ;\n", + "Epoch 240/1000, Cost: 3.8980\n", + " and the parameters are [-2.17442403 3.03903137] -3.8504042508691247 ;\n", + "Epoch 240/1000, Cost: 6.5682\n", + " and the parameters are [-2.1744181 3.03903846] -3.850453516934103 ;\n", + "Epoch 240/1000, Cost: 5.5458\n", + " and the parameters are [-2.17442368 3.03909983] -3.8504235519278853 ;\n", + "Epoch 240/1000, Cost: 4.4575\n", + " and the parameters are [-2.1743841 3.03926277] -3.8503972568394085 ;\n", + "Epoch 240/1000, Cost: 2.4090\n", + " and the parameters are [-2.17437058 3.03931595] -3.8504173010287337 ;\n", + "Epoch 240/1000, Cost: 5.9119\n", + " and the parameters are [-2.17444145 3.03917405] -3.8505338646344818 ;\n", + "Epoch 240/1000, Cost: 9.0316\n", + " and the parameters are [-2.17437353 3.03915026] -3.8506204261003814 ;\n", + "Epoch 240/1000, Cost: 4.1251\n", + " and the parameters are [-2.17434933 3.03930113] -3.850571048944611 ;\n", + "Epoch 240/1000, Cost: 2.8131\n", + " and the parameters are [-2.17442099 3.03925339] -3.8506268914913555 ;\n", + "Epoch 240/1000, Cost: 2.3495\n", + " and the parameters are [-2.1744426 3.03929761] -3.8506414755870493 ;\n", + "Epoch 240/1000, Cost: 3.1251\n", + " and the parameters are [-2.17447302 3.03936117] -3.850627904839786 ;\n", + "Epoch 240/1000, Cost: 3.7332\n", + " and the parameters are [-2.17453083 3.03932417] -3.8506893809213762 ;\n", + "Epoch 240/1000, Cost: 6.3927\n", + " and the parameters are [-2.17458263 3.03927016] -3.8507516300822044 ;\n", + "Epoch 240/1000, Cost: 5.5691\n", + " and the parameters are [-2.17465732 3.0392219 ] -3.8508209644019256 ;\n", + "Epoch 240/1000, Cost: 5.0975\n", + " and the parameters are [-2.17455334 3.039206 ] -3.850906016959997 ;\n", + "Epoch 240/1000, Cost: 1.9149\n", + " and the parameters are [-2.17453767 3.0392829 ] -3.8509068931615813 ;\n", + "Epoch 240/1000, Cost: 5.5062\n", + " and the parameters are [-2.17450059 3.0393718 ] -3.8509180756093104 ;\n", + "Epoch 240/1000, Cost: 3.0462\n", + " and the parameters are [-2.17454426 3.03940638] -3.8509283245884993 ;\n", + "Epoch 240/1000, Cost: 5.3768\n", + " and the parameters are [-2.17458668 3.03949349] -3.850884779461804 ;\n", + "Epoch 240/1000, Cost: 7.0501\n", + " and the parameters are [-2.17460823 3.03931981] -3.8510285391662373 ;\n", + "Epoch 240/1000, Cost: 3.8471\n", + " and the parameters are [-2.17463026 3.0394044 ] -3.850998978797554 ;\n", + "Epoch 240/1000, Cost: 4.8811\n", + " and the parameters are [-2.1746305 3.03945475] -3.85103801809687 ;\n", + "Epoch 240/1000, Cost: 3.2635\n", + " and the parameters are [-2.17471078 3.03945282] -3.8510399981012013 ;\n", + "Epoch 240/1000, Cost: 4.1078\n", + " and the parameters are [-2.1747521 3.03939993] -3.8511095158675754 ;\n", + "Epoch 240/1000, Cost: 5.9024\n", + " and the parameters are [-2.17476706 3.03940566] -3.851143812433631 ;\n", + "Epoch 240/1000, Cost: 7.7741\n", + " and the parameters are [-2.17485519 3.0393174 ] -3.851173958237893 ;\n", + "Epoch 240/1000, Cost: 5.0132\n", + " and the parameters are [-2.17489353 3.03920974] -3.851263707494697 ;\n", + "Epoch 240/1000, Cost: 4.9264\n", + " and the parameters are [-2.1749911 3.03914688] -3.8512774443751074 ;\n", + "Epoch 240/1000, Cost: 3.7106\n", + " and the parameters are [-2.17499891 3.03922029] -3.8512578991968267 ;\n", + "Epoch 240/1000, Cost: 3.6996\n", + " and the parameters are [-2.17502058 3.03923009] -3.851276909276836 ;\n", + "Epoch 240/1000, Cost: 5.3590\n", + " and the parameters are [-2.17497066 3.03927432] -3.8513129384739004 ;\n", + "Epoch 240/1000, Cost: 4.2761\n", + " and the parameters are [-2.17496042 3.03929336] -3.851362005146192 ;\n", + "Epoch 240/1000, Cost: 4.5194\n", + " and the parameters are [-2.17494304 3.03936106] -3.8513858201779585 ;\n", + "Epoch 240/1000, Cost: 2.7963\n", + " and the parameters are [-2.17493143 3.03936167] -3.8514553389935027 ;\n", + "Epoch 240/1000, Cost: 3.1452\n", + " and the parameters are [-2.1749461 3.03936704] -3.8514868799903907 ;\n", + "Epoch 240/1000, Cost: 3.2480\n", + " and the parameters are [-2.17500521 3.03940392] -3.8514883164417606 ;\n", + "Epoch 240/1000, Cost: 2.9516\n", + " and the parameters are [-2.17506148 3.0393782 ] -3.851535677358079 ;\n", + "Epoch 240/1000, Cost: 6.9079\n", + " and the parameters are [-2.17511689 3.03921317] -3.851656777500108 ;\n", + "Epoch 240/1000, Cost: 2.8957\n", + " and the parameters are [-2.17510877 3.0392371 ] -3.8516968623031542 ;\n", + "Epoch 240/1000, Cost: 2.9661\n", + " and the parameters are [-2.17513994 3.03928791] -3.8516910580953314 ;\n", + "Epoch 240/1000, Cost: 2.9359\n", + " and the parameters are [-2.17513769 3.03940566] -3.851664686879451 ;\n", + "Epoch 240/1000, Cost: 4.2168\n", + " and the parameters are [-2.17525761 3.03931492] -3.8517140933585723 ;\n", + "Epoch 240/1000, Cost: 2.8944\n", + " and the parameters are [-2.17530861 3.03934213] -3.8517266751694903 ;\n", + "Epoch 240/1000, Cost: 3.6312\n", + " and the parameters are [-2.175313 3.03927219] -3.8518301343737797 ;\n", + "Epoch 240/1000, Cost: 5.4127\n", + " and the parameters are [-2.17538467 3.03905566] -3.8520060441619637 ;\n", + "Epoch 240/1000, Cost: 1.6132\n", + " and the parameters are [-2.17539941 3.03914474] -3.8519808770764215 ;\n", + "Epoch 240/1000, Cost: 4.8554\n", + " and the parameters are [-2.17532507 3.03926258] -3.851980996470422 ;\n", + "Epoch 240/1000, Cost: 3.8833\n", + " and the parameters are [-2.17529108 3.03930233] -3.852014395490304 ;\n", + "Epoch 240/1000, Cost: 3.7216\n", + " and the parameters are [-2.1752231 3.03931864] -3.85209923544172 ;\n", + "Epoch 240/1000, Cost: 4.1386\n", + " and the parameters are [-2.17522678 3.03934712] -3.8521157758525946 ;\n", + "Epoch 240/1000, Cost: 3.7397\n", + " and the parameters are [-2.17521186 3.03952557] -3.8520445826024297 ;\n", + "Epoch 240/1000, Cost: 4.2970\n", + " and the parameters are [-2.17524176 3.03960524] -3.8520236800396144 ;\n", + "Epoch 240/1000, Cost: 2.7318\n", + " and the parameters are [-2.17521764 3.03963299] -3.8520653445438024 ;\n", + "Epoch 240/1000, Cost: 2.8747\n", + " and the parameters are [-2.17527233 3.03966848] -3.852055673544407 ;\n", + "Epoch 240/1000, Cost: 3.4100\n", + " and the parameters are [-2.17523396 3.0396501 ] -3.852133247510559 ;\n", + "Epoch 240/1000, Cost: 2.6959\n", + " and the parameters are [-2.17526119 3.03961709] -3.8521992058196455 ;\n", + "Epoch 240/1000, Cost: 3.7256\n", + " and the parameters are [-2.17520012 3.039804 ] -3.852155330501917 ;\n", + "Epoch 240/1000, Cost: 2.8525\n", + " and the parameters are [-2.17514213 3.03981591] -3.8522295781342804 ;\n", + "Epoch 240/1000, Cost: 1.8769\n", + " and the parameters are [-2.17512054 3.03994185] -3.8521974995905213 ;\n", + "Epoch 240/1000, Cost: 2.8998\n", + " and the parameters are [-2.17517351 3.03987529] -3.8522642577342663 ;\n", + "Epoch 240/1000, Cost: 5.5047\n", + " and the parameters are [-2.17529647 3.03972504] -3.852323847747213 ;\n", + "Epoch 240/1000, Cost: 4.1481\n", + " and the parameters are [-2.175346 3.0396961] -3.8523704227282183 ;\n", + "Epoch 240/1000, Cost: 2.9479\n", + " and the parameters are [-2.17526912 3.03971834] -3.8524522356450235 ;\n", + "Epoch 240/1000, Cost: 5.0968\n", + " and the parameters are [-2.17526234 3.03971175] -3.8525330453543356 ;\n", + "Epoch 240/1000, Cost: 5.2995\n", + " and the parameters are [-2.17529084 3.03961238] -3.8526530613526435 ;\n", + "Epoch 240/1000, Cost: 3.1347\n", + " and the parameters are [-2.17530242 3.03969396] -3.8526476803947736 ;\n", + "Epoch 240/1000, Cost: 3.5481\n", + " and the parameters are [-2.175322 3.03964733] -3.852727556415809 ;\n", + "Epoch 240/1000, Cost: 3.4810\n", + " and the parameters are [-2.17537134 3.03971375] -3.8526866170722776 ;\n", + "Epoch 240/1000, Cost: 3.8549\n", + " and the parameters are [-2.17536577 3.03968877] -3.8527708547951036 ;\n", + "Epoch 240/1000, Cost: 4.4510\n", + " and the parameters are [-2.17538496 3.03981253] -3.8527302853752365 ;\n", + "Epoch 240/1000, Cost: 2.2606\n", + " and the parameters are [-2.17539619 3.03989638] -3.852709952199237 ;\n", + "Epoch 240/1000, Cost: 6.4384\n", + " and the parameters are [-2.17543814 3.03983822] -3.8527862306673595 ;\n", + "Epoch 240/1000, Cost: 4.6776\n", + " and the parameters are [-2.17541136 3.03980078] -3.8528725057985933 ;\n", + "Epoch 240/1000, Cost: 2.2116\n", + " and the parameters are [-2.17546095 3.03984721] -3.8528606833062695 ;\n", + "Epoch 240/1000, Cost: 4.8471\n", + " and the parameters are [-2.17549081 3.03984108] -3.852920653951061 ;\n", + "Epoch 240/1000, Cost: 8.9830\n", + " and the parameters are [-2.17553385 3.03977028] -3.852979898781169 ;\n", + "Epoch 240/1000, Cost: 5.9739\n", + " and the parameters are [-2.17546426 3.03987642] -3.852978298147463 ;\n", + "Epoch 240/1000, Cost: 3.9814\n", + " and the parameters are [-2.1755029 3.03990401] -3.8530033571312368 ;\n", + "Epoch 240/1000, Cost: 1.6198\n", + " and the parameters are [-2.17551811 3.03993561] -3.8530266429483118 ;\n", + "Epoch 240/1000, Cost: 4.0510\n", + " and the parameters are [-2.1755883 3.03987373] -3.8530815652311086 ;\n", + "Epoch 240/1000, Cost: 4.6892\n", + " and the parameters are [-2.17552458 3.0399336 ] -3.853138402711643 ;\n", + "Epoch 240/1000, Cost: 4.1599\n", + " and the parameters are [-2.17557232 3.04004374] -3.8530848438814966 ;\n", + "Epoch 240/1000, Cost: 8.2705\n", + " and the parameters are [-2.17565919 3.03990514] -3.8531447460283372 ;\n", + "Epoch 240/1000, Cost: 3.2156\n", + " and the parameters are [-2.17565374 3.03991301] -3.8531976017704666 ;\n", + "Epoch 240/1000, Cost: 5.4870\n", + " and the parameters are [-2.17564488 3.03999551] -3.8531889118820413 ;\n", + "Epoch 240/1000, Cost: 3.0094\n", + " and the parameters are [-2.17557751 3.04003463] -3.8532544525913375 ;\n", + "Epoch 240/1000, Cost: 3.9839\n", + " and the parameters are [-2.17562452 3.04001838] -3.8532943147748395 ;\n", + "Epoch 240/1000, Cost: 6.2300\n", + " and the parameters are [-2.17564834 3.04014643] -3.8531959329469228 ;\n", + "Epoch 240/1000, Cost: 2.4263\n", + " and the parameters are [-2.17571984 3.04011441] -3.8532192804332537 ;\n", + "Epoch 240/1000, Cost: 3.7601\n", + " and the parameters are [-2.17578347 3.04012985] -3.853225432394516 ;\n", + "Epoch 240/1000, Cost: 3.0002\n", + " and the parameters are [-2.17581777 3.04015271] -3.853244703025753 ;\n", + "Epoch 240/1000, Cost: 3.4793\n", + " and the parameters are [-2.17575547 3.04022018] -3.8532922988538925 ;\n", + "Epoch 240/1000, Cost: 2.3391\n", + " and the parameters are [-2.17579745 3.04024443] -3.8533125154498444 ;\n", + "Epoch 240/1000, Cost: 4.2868\n", + " and the parameters are [-2.1757069 3.04026439] -3.8533939992662076 ;\n", + "Epoch 240/1000, Cost: 3.8709\n", + " and the parameters are [-2.17565883 3.0402732 ] -3.8534540726298747 ;\n", + "Epoch 240/1000, Cost: 3.2749\n", + " and the parameters are [-2.17568727 3.04023352] -3.8535307239965464 ;\n", + "Epoch 240/1000, Cost: 2.8108\n", + " and the parameters are [-2.17569385 3.04027283] -3.8535533577792016 ;\n", + "Epoch 240/1000, Cost: 5.0221\n", + " and the parameters are [-2.1756537 3.0403664] -3.853558437713892 ;\n", + "Epoch 240/1000, Cost: 6.7687\n", + " and the parameters are [-2.17567723 3.04036338] -3.8535907817952517 ;\n", + "Epoch 240/1000, Cost: 2.8431\n", + " and the parameters are [-2.17565073 3.04042982] -3.8536177287318876 ;\n", + "Epoch 240/1000, Cost: 8.1055\n", + " and the parameters are [-2.17566076 3.04033022] -3.8536843522898367 ;\n", + "Epoch 240/1000, Cost: 2.0415\n", + " and the parameters are [-2.17562568 3.04039654] -3.8537091183170533 ;\n", + "Epoch 240/1000, Cost: 3.5391\n", + " and the parameters are [-2.17561584 3.04046091] -3.8537427658942787 ;\n", + "Epoch 240/1000, Cost: 3.3967\n", + " and the parameters are [-2.17566317 3.04040179] -3.853813996420373 ;\n", + "Epoch 240/1000, Cost: 5.1788\n", + " and the parameters are [-2.17568658 3.04045748] -3.85380073916242 ;\n", + "Epoch 240/1000, Cost: 2.9844\n", + " and the parameters are [-2.17574003 3.04045357] -3.8538331712269334 ;\n", + "Epoch 240/1000, Cost: 3.8040\n", + " and the parameters are [-2.17576304 3.04045778] -3.8538672451741096 ;\n", + "Epoch 240/1000, Cost: 3.8413\n", + " and the parameters are [-2.17575032 3.04056897] -3.8538431141604663 ;\n", + "Epoch 240/1000, Cost: 3.6598\n", + " and the parameters are [-2.17575232 3.04057791] -3.8538771767494153 ;\n", + "Epoch 240/1000, Cost: 2.0288\n", + " and the parameters are [-2.17577255 3.04062847] -3.853885753387318 ;\n", + "Epoch 240/1000, Cost: 3.4430\n", + " and the parameters are [-2.17580481 3.04063369] -3.853940387367903 ;\n", + "Epoch 240/1000, Cost: 3.6287\n", + " and the parameters are [-2.1757977 3.04065468] -3.8539835658650925 ;\n", + "Epoch 240/1000, Cost: 3.4900\n", + " and the parameters are [-2.17574332 3.04075384] -3.8540014151261475 ;\n", + "Epoch 240/1000, Cost: 4.9635\n", + " and the parameters are [-2.17576508 3.04063878] -3.8541276132467073 ;\n", + "Epoch 240/1000, Cost: 5.2889\n", + " and the parameters are [-2.17583026 3.0406572 ] -3.854156374160074 ;\n", + "Epoch 240/1000, Cost: 4.8842\n", + " and the parameters are [-2.1759016 3.0406841] -3.854159286596712 ;\n", + "Epoch 240/1000, Cost: 7.2309\n", + " and the parameters are [-2.17591467 3.04063718] -3.8541969848531545 ;\n", + "Epoch 240/1000, Cost: 2.5084\n", + " and the parameters are [-2.17589517 3.04067538] -3.854240719573438 ;\n", + "Epoch 240/1000, Cost: 3.6142\n", + " and the parameters are [-2.17586349 3.04081981] -3.8542009479758423 ;\n", + "Epoch 240/1000, Cost: 5.0013\n", + " and the parameters are [-2.17587325 3.04085475] -3.854237391571845 ;\n", + "Epoch 240/1000, Cost: 8.4815\n", + " and the parameters are [-2.17597436 3.04089682] -3.854186090661241 ;\n", + "Epoch 240/1000, Cost: 3.6702\n", + " and the parameters are [-2.17602048 3.04101927] -3.8541177699448204 ;\n", + "Epoch 240/1000, Cost: 6.8822\n", + " and the parameters are [-2.17608148 3.0408237 ] -3.85425588296773 ;\n", + "Epoch 240/1000, Cost: 6.0237\n", + " and the parameters are [-2.17605361 3.04087594] -3.8542654847477813 ;\n", + "Epoch 240/1000, Cost: 3.4757\n", + " and the parameters are [-2.17610161 3.04097981] -3.854221375648906 ;\n", + "Epoch 240/1000, Cost: 3.5476\n", + " and the parameters are [-2.17608905 3.04106088] -3.8542274351749226 ;\n", + "Epoch 240/1000, Cost: 2.2420\n", + " and the parameters are [-2.17607363 3.0410573 ] -3.854295422624434 ;\n", + "Epoch 240/1000, Cost: 2.7830\n", + " and the parameters are [-2.17605545 3.04111139] -3.8543267644571575 ;\n", + "Epoch 240/1000, Cost: 2.7187\n", + " and the parameters are [-2.17606696 3.04110725] -3.8543804127611687 ;\n", + "Epoch 250/1000, Cost: 2.4137\n", + " and the parameters are [-2.20354797 3.07444968] -3.903325109462258 ;\n", + "Epoch 250/1000, Cost: 5.0386\n", + " and the parameters are [-2.2035871 3.07452863] -3.903300753646865 ;\n", + "Epoch 250/1000, Cost: 4.3087\n", + " and the parameters are [-2.20366229 3.07441515] -3.903406401629771 ;\n", + "Epoch 250/1000, Cost: 3.7578\n", + " and the parameters are [-2.20373462 3.07431408] -3.903489114830313 ;\n", + "Epoch 250/1000, Cost: 3.7150\n", + " and the parameters are [-2.20375282 3.0743879 ] -3.903485949360321 ;\n", + "Epoch 250/1000, Cost: 4.2960\n", + " and the parameters are [-2.20375846 3.07439677] -3.9035278126524453 ;\n", + "Epoch 250/1000, Cost: 3.5984\n", + " and the parameters are [-2.20380613 3.07439592] -3.9035623045730685 ;\n", + "Epoch 250/1000, Cost: 4.7612\n", + " and the parameters are [-2.20379146 3.07446921] -3.90355309276448 ;\n", + "Epoch 250/1000, Cost: 4.3111\n", + " and the parameters are [-2.20380691 3.07465719] -3.903446521189002 ;\n", + "Epoch 250/1000, Cost: 2.6441\n", + " and the parameters are [-2.20386344 3.07462557] -3.9035005281959427 ;\n", + "Epoch 250/1000, Cost: 2.6701\n", + " and the parameters are [-2.2038853 3.07467068] -3.9035121387444636 ;\n", + "Epoch 250/1000, Cost: 3.1273\n", + " and the parameters are [-2.20383378 3.07476537] -3.9035225119296832 ;\n", + "Epoch 250/1000, Cost: 7.8858\n", + " and the parameters are [-2.2038301 3.07491984] -3.903401256377299 ;\n", + "Epoch 250/1000, Cost: 4.4928\n", + " and the parameters are [-2.20385037 3.07495831] -3.9034132010019467 ;\n", + "Epoch 250/1000, Cost: 4.8002\n", + " and the parameters are [-2.20386095 3.07501826] -3.9034184994347423 ;\n", + "Epoch 250/1000, Cost: 4.9910\n", + " and the parameters are [-2.20392988 3.07491124] -3.9035118750288857 ;\n", + "Epoch 250/1000, Cost: 3.3623\n", + " and the parameters are [-2.20394376 3.07506124] -3.9034548959082342 ;\n", + "Epoch 250/1000, Cost: 4.4535\n", + " and the parameters are [-2.20399522 3.07500813] -3.9035082237411416 ;\n", + "Epoch 250/1000, Cost: 4.6207\n", + " and the parameters are [-2.20400664 3.07506522] -3.9035102487767377 ;\n", + "Epoch 250/1000, Cost: 2.8236\n", + " and the parameters are [-2.20400622 3.07511566] -3.9035310895865982 ;\n", + "Epoch 250/1000, Cost: 3.9653\n", + " and the parameters are [-2.20410073 3.07501494] -3.9036038153330637 ;\n", + "Epoch 250/1000, Cost: 4.7808\n", + " and the parameters are [-2.20414861 3.07507261] -3.9035804370402367 ;\n", + "Epoch 250/1000, Cost: 2.1319\n", + " and the parameters are [-2.20417152 3.07506376] -3.903631435449355 ;\n", + "Epoch 250/1000, Cost: 4.7081\n", + " and the parameters are [-2.2041582 3.07502988] -3.9037109396577176 ;\n", + "Epoch 250/1000, Cost: 4.0199\n", + " and the parameters are [-2.20416913 3.07503301] -3.9037521010695944 ;\n", + "Epoch 250/1000, Cost: 4.4035\n", + " and the parameters are [-2.20421263 3.07513215] -3.9036901024943913 ;\n", + "Epoch 250/1000, Cost: 4.9456\n", + " and the parameters are [-2.20424633 3.07508114] -3.9037511736811026 ;\n", + "Epoch 250/1000, Cost: 4.6425\n", + " and the parameters are [-2.20427982 3.07505461] -3.9037943886507462 ;\n", + "Epoch 250/1000, Cost: 1.0562\n", + " and the parameters are [-2.20428133 3.07509573] -3.90380416463207 ;\n", + "Epoch 250/1000, Cost: 4.0263\n", + " and the parameters are [-2.20427513 3.07509841] -3.903846255637607 ;\n", + "Epoch 250/1000, Cost: 2.9996\n", + " and the parameters are [-2.20427914 3.07521705] -3.903813783272005 ;\n", + "Epoch 250/1000, Cost: 3.6509\n", + " and the parameters are [-2.20430554 3.07527756] -3.903817044717721 ;\n", + "Epoch 250/1000, Cost: 2.2212\n", + " and the parameters are [-2.20432295 3.07536371] -3.9037932671950704 ;\n", + "Epoch 250/1000, Cost: 4.9876\n", + " and the parameters are [-2.20430223 3.0752727 ] -3.9039206151107435 ;\n", + "Epoch 250/1000, Cost: 4.0619\n", + " and the parameters are [-2.20426011 3.07544141] -3.90387526740767 ;\n", + "Epoch 250/1000, Cost: 5.1081\n", + " and the parameters are [-2.20424863 3.0754773 ] -3.9038908656673983 ;\n", + "Epoch 250/1000, Cost: 3.7087\n", + " and the parameters are [-2.20423795 3.07562669] -3.9038423822046537 ;\n", + "Epoch 250/1000, Cost: 2.5072\n", + " and the parameters are [-2.20425715 3.07561993] -3.9038884086571946 ;\n", + "Epoch 250/1000, Cost: 4.0962\n", + " and the parameters are [-2.20428506 3.07567298] -3.903884270282867 ;\n", + "Epoch 250/1000, Cost: 5.4966\n", + " and the parameters are [-2.20416588 3.0756694 ] -3.9039835235237126 ;\n", + "Epoch 250/1000, Cost: 3.4969\n", + " and the parameters are [-2.20412119 3.07580203] -3.9039626072113784 ;\n", + "Epoch 250/1000, Cost: 2.7823\n", + " and the parameters are [-2.20408303 3.07585149] -3.904007592817205 ;\n", + "Epoch 250/1000, Cost: 2.3404\n", + " and the parameters are [-2.20406034 3.07591713] -3.9040235133831 ;\n", + "Epoch 250/1000, Cost: 3.3230\n", + " and the parameters are [-2.20406454 3.07595522] -3.9040481652320667 ;\n", + "Epoch 250/1000, Cost: 3.4564\n", + " and the parameters are [-2.20399774 3.07601807] -3.9040714748361824 ;\n", + "Epoch 250/1000, Cost: 1.6979\n", + " and the parameters are [-2.20396286 3.0760787 ] -3.90409264655727 ;\n", + "Epoch 250/1000, Cost: 4.1012\n", + " and the parameters are [-2.20391702 3.07617154] -3.9040894927355327 ;\n", + "Epoch 250/1000, Cost: 3.5115\n", + " and the parameters are [-2.203932 3.07618223] -3.904119661235295 ;\n", + "Epoch 250/1000, Cost: 7.6930\n", + " and the parameters are [-2.20403079 3.07596313] -3.90427211224771 ;\n", + "Epoch 250/1000, Cost: 4.3039\n", + " and the parameters are [-2.20404495 3.0758744 ] -3.904371632518258 ;\n", + "Epoch 250/1000, Cost: 3.2021\n", + " and the parameters are [-2.20399508 3.07587445] -3.9044545299827775 ;\n", + "Epoch 250/1000, Cost: 1.7052\n", + " and the parameters are [-2.20402988 3.07584453] -3.904504704563759 ;\n", + "Epoch 250/1000, Cost: 5.7859\n", + " and the parameters are [-2.20411505 3.07593804] -3.904442260810674 ;\n", + "Epoch 250/1000, Cost: 3.8253\n", + " and the parameters are [-2.20416653 3.07585819] -3.904534933334112 ;\n", + "Epoch 250/1000, Cost: 5.5265\n", + " and the parameters are [-2.20426235 3.07577966] -3.904591983779412 ;\n", + "Epoch 250/1000, Cost: 3.6160\n", + " and the parameters are [-2.20428013 3.07576506] -3.9046460914020584 ;\n", + "Epoch 250/1000, Cost: 3.2519\n", + " and the parameters are [-2.20427485 3.07585629] -3.904632806584575 ;\n", + "Epoch 250/1000, Cost: 3.3338\n", + " and the parameters are [-2.20430799 3.07580044] -3.9046930954763237 ;\n", + "Epoch 250/1000, Cost: 4.8008\n", + " and the parameters are [-2.20435135 3.07577239] -3.904751494388192 ;\n", + "Epoch 250/1000, Cost: 4.5589\n", + " and the parameters are [-2.20444949 3.07570592] -3.904807726520835 ;\n", + "Epoch 250/1000, Cost: 1.6483\n", + " and the parameters are [-2.20444201 3.07576341] -3.904817279259341 ;\n", + "Epoch 250/1000, Cost: 3.8373\n", + " and the parameters are [-2.20442054 3.07579789] -3.904862341072841 ;\n", + "Epoch 250/1000, Cost: 2.6354\n", + " and the parameters are [-2.20445095 3.07585643] -3.9048601678198525 ;\n", + "Epoch 250/1000, Cost: 6.4688\n", + " and the parameters are [-2.20444297 3.07595381] -3.9048342899703057 ;\n", + "Epoch 250/1000, Cost: 7.4940\n", + " and the parameters are [-2.20441966 3.07594332] -3.904848143419501 ;\n", + "Epoch 250/1000, Cost: 4.7755\n", + " and the parameters are [-2.20441195 3.07601538] -3.9048565752549025 ;\n", + "Epoch 250/1000, Cost: 2.0522\n", + " and the parameters are [-2.20442807 3.07601319] -3.9048915649397555 ;\n", + "Epoch 250/1000, Cost: 4.3694\n", + " and the parameters are [-2.20449211 3.07602442] -3.9048732209424686 ;\n", + "Epoch 250/1000, Cost: 6.1920\n", + " and the parameters are [-2.2045371 3.07602058] -3.9048700735390622 ;\n", + "Epoch 250/1000, Cost: 4.2100\n", + " and the parameters are [-2.20455581 3.07595305] -3.90496585403205 ;\n", + "Epoch 250/1000, Cost: 3.5226\n", + " and the parameters are [-2.2045514 3.07608269] -3.9049223856967124 ;\n", + "Epoch 250/1000, Cost: 5.2168\n", + " and the parameters are [-2.20459899 3.07598539] -3.904993239436253 ;\n", + "Epoch 250/1000, Cost: 6.0209\n", + " and the parameters are [-2.2045999 3.07588267] -3.9051052417916647 ;\n", + "Epoch 250/1000, Cost: 3.6918\n", + " and the parameters are [-2.20461944 3.07580113] -3.9052176901226745 ;\n", + "Epoch 250/1000, Cost: 4.5248\n", + " and the parameters are [-2.20458763 3.07585739] -3.905248142241186 ;\n", + "Epoch 250/1000, Cost: 6.1421\n", + " and the parameters are [-2.20467491 3.07561995] -3.905425069338355 ;\n", + "Epoch 250/1000, Cost: 5.0055\n", + " and the parameters are [-2.20469718 3.0756925 ] -3.9053728420001117 ;\n", + "Epoch 250/1000, Cost: 3.1342\n", + " and the parameters are [-2.20476099 3.07559917] -3.905455191211385 ;\n", + "Epoch 250/1000, Cost: 4.0818\n", + " and the parameters are [-2.20477296 3.07555829] -3.905529913333145 ;\n", + "Epoch 250/1000, Cost: 5.3152\n", + " and the parameters are [-2.20476162 3.07560234] -3.9055459093392972 ;\n", + "Epoch 250/1000, Cost: 4.3919\n", + " and the parameters are [-2.20477054 3.07562252] -3.9055757257355963 ;\n", + "Epoch 250/1000, Cost: 3.2058\n", + " and the parameters are [-2.20481817 3.07563374] -3.9056036946943378 ;\n", + "Epoch 250/1000, Cost: 6.3148\n", + " and the parameters are [-2.20492067 3.07542729] -3.905730758206086 ;\n", + "Epoch 250/1000, Cost: 3.0993\n", + " and the parameters are [-2.20488861 3.07552348] -3.9057286558938324 ;\n", + "Epoch 250/1000, Cost: 3.3329\n", + " and the parameters are [-2.20491673 3.07553765] -3.905742146366364 ;\n", + "Epoch 250/1000, Cost: 5.0069\n", + " and the parameters are [-2.20488886 3.07563741] -3.9057485665436307 ;\n", + "Epoch 250/1000, Cost: 2.4888\n", + " and the parameters are [-2.2048923 3.07567231] -3.9057709311968116 ;\n", + "Epoch 250/1000, Cost: 2.8458\n", + " and the parameters are [-2.20490391 3.07568249] -3.9057977487050115 ;\n", + "Epoch 250/1000, Cost: 3.4828\n", + " and the parameters are [-2.20485416 3.07579829] -3.905794971281291 ;\n", + "Epoch 250/1000, Cost: 4.1667\n", + " and the parameters are [-2.20487182 3.07585157] -3.905808233418355 ;\n", + "Epoch 250/1000, Cost: 2.9788\n", + " and the parameters are [-2.20487446 3.0758414 ] -3.9058637775712257 ;\n", + "Epoch 250/1000, Cost: 3.4224\n", + " and the parameters are [-2.20479883 3.07586057] -3.905931787754817 ;\n", + "Epoch 250/1000, Cost: 3.5729\n", + " and the parameters are [-2.20481566 3.07595221] -3.9059195872109584 ;\n", + "Epoch 250/1000, Cost: 6.1580\n", + " and the parameters are [-2.20482818 3.07594895] -3.905949798728862 ;\n", + "Epoch 250/1000, Cost: 4.5075\n", + " and the parameters are [-2.20495883 3.07588513] -3.9059690496564343 ;\n", + "Epoch 250/1000, Cost: 6.6565\n", + " and the parameters are [-2.20506952 3.07575608] -3.906052110926744 ;\n", + "Epoch 250/1000, Cost: 7.5656\n", + " and the parameters are [-2.20501802 3.07567977] -3.906157668252583 ;\n", + "Epoch 250/1000, Cost: 4.5316\n", + " and the parameters are [-2.20498682 3.07568599] -3.906192495178979 ;\n", + "Epoch 250/1000, Cost: 3.0610\n", + " and the parameters are [-2.20496747 3.07576908] -3.906186703451524 ;\n", + "Epoch 250/1000, Cost: 1.5639\n", + " and the parameters are [-2.20496045 3.075787 ] -3.906222482992374 ;\n", + "Epoch 250/1000, Cost: 1.8355\n", + " and the parameters are [-2.2049736 3.0758645] -3.906208426395686 ;\n", + "Epoch 250/1000, Cost: 2.9582\n", + " and the parameters are [-2.2049385 3.07590951] -3.906257339427878 ;\n", + "Epoch 250/1000, Cost: 4.2463\n", + " and the parameters are [-2.20488919 3.07608615] -3.9062021886191256 ;\n", + "Epoch 250/1000, Cost: 2.8996\n", + " and the parameters are [-2.20486299 3.07619275] -3.9061854950446575 ;\n", + "Epoch 250/1000, Cost: 3.7948\n", + " and the parameters are [-2.20490532 3.0761739 ] -3.9062205949452693 ;\n", + "Epoch 250/1000, Cost: 4.3175\n", + " and the parameters are [-2.20486697 3.0763502 ] -3.9061616627833904 ;\n", + "Epoch 250/1000, Cost: 3.0571\n", + " and the parameters are [-2.20492492 3.07641213] -3.9061439409240655 ;\n", + "Epoch 250/1000, Cost: 3.3601\n", + " and the parameters are [-2.20491385 3.07647531] -3.906153814839188 ;\n", + "Epoch 250/1000, Cost: 2.0354\n", + " and the parameters are [-2.20489886 3.07657286] -3.9061308298870316 ;\n", + "Epoch 250/1000, Cost: 2.9920\n", + " and the parameters are [-2.2048885 3.07660381] -3.906169959919649 ;\n", + "Epoch 250/1000, Cost: 4.8999\n", + " and the parameters are [-2.20493448 3.07669625] -3.9061355941442573 ;\n", + "Epoch 250/1000, Cost: 3.0709\n", + " and the parameters are [-2.20499808 3.0766957 ] -3.9061688040515556 ;\n", + "Epoch 250/1000, Cost: 2.5666\n", + " and the parameters are [-2.20500481 3.0767459 ] -3.9061848252389026 ;\n", + "Epoch 250/1000, Cost: 5.9443\n", + " and the parameters are [-2.20507652 3.07661328] -3.906277130381486 ;\n", + "Epoch 250/1000, Cost: 3.8525\n", + " and the parameters are [-2.20510773 3.07657027] -3.9063521916091704 ;\n", + "Epoch 250/1000, Cost: 2.3589\n", + " and the parameters are [-2.20511836 3.07659778] -3.9063763229370148 ;\n", + "Epoch 250/1000, Cost: 4.0701\n", + " and the parameters are [-2.2051528 3.0765886] -3.9064230055646894 ;\n", + "Epoch 250/1000, Cost: 3.8607\n", + " and the parameters are [-2.20527206 3.07659832] -3.9063969671387158 ;\n", + "Epoch 250/1000, Cost: 4.1676\n", + " and the parameters are [-2.20523271 3.07655956] -3.9065180357911977 ;\n", + "Epoch 250/1000, Cost: 4.5667\n", + " and the parameters are [-2.20520833 3.07650991] -3.9066293436071273 ;\n", + "Epoch 250/1000, Cost: 3.8548\n", + " and the parameters are [-2.20522992 3.07643206] -3.9067249373924566 ;\n", + "Epoch 250/1000, Cost: 4.5060\n", + " and the parameters are [-2.2051945 3.07650427] -3.906751503794445 ;\n", + "Epoch 250/1000, Cost: 6.0289\n", + " and the parameters are [-2.20506503 3.07651468] -3.9068625229518554 ;\n", + "Epoch 250/1000, Cost: 4.9297\n", + " and the parameters are [-2.20513182 3.07663963] -3.9067668009714835 ;\n", + "Epoch 250/1000, Cost: 2.9692\n", + " and the parameters are [-2.2051064 3.07668303] -3.906795189990078 ;\n", + "Epoch 250/1000, Cost: 6.4317\n", + " and the parameters are [-2.2051206 3.07661298] -3.906861890813155 ;\n", + "Epoch 250/1000, Cost: 2.6567\n", + " and the parameters are [-2.20510993 3.07670075] -3.9068511673516277 ;\n", + "Epoch 250/1000, Cost: 3.7702\n", + " and the parameters are [-2.20512655 3.07669007] -3.9068981312317668 ;\n", + "Epoch 250/1000, Cost: 3.5860\n", + " and the parameters are [-2.20510778 3.0767494 ] -3.9069183217501946 ;\n", + "Epoch 250/1000, Cost: 1.8608\n", + " and the parameters are [-2.2051293 3.07682029] -3.9069049380867673 ;\n", + "Epoch 250/1000, Cost: 5.8907\n", + " and the parameters are [-2.2051718 3.07693096] -3.9068522490282214 ;\n", + "Epoch 250/1000, Cost: 4.7711\n", + " and the parameters are [-2.20517254 3.07690097] -3.9069090016719206 ;\n", + "Epoch 250/1000, Cost: 4.9054\n", + " and the parameters are [-2.20522209 3.07687589] -3.9069621224979807 ;\n", + "Epoch 250/1000, Cost: 3.6546\n", + " and the parameters are [-2.20523653 3.0768655 ] -3.9069950544282412 ;\n", + "Epoch 250/1000, Cost: 2.8008\n", + " and the parameters are [-2.20526525 3.07689133] -3.9070142970845834 ;\n", + "Epoch 250/1000, Cost: 2.2421\n", + " and the parameters are [-2.2052314 3.07693523] -3.9070561337163676 ;\n", + "Epoch 250/1000, Cost: 4.3540\n", + " and the parameters are [-2.20527006 3.07686986] -3.9071358669409175 ;\n", + "Epoch 250/1000, Cost: 4.5071\n", + " and the parameters are [-2.20528753 3.07704152] -3.907055900181766 ;\n", + "Epoch 250/1000, Cost: 4.6328\n", + " and the parameters are [-2.2054245 3.07690404] -3.9071405091254077 ;\n", + "Epoch 250/1000, Cost: 4.0858\n", + " and the parameters are [-2.20540964 3.07680168] -3.907263812719551 ;\n", + "Epoch 250/1000, Cost: 6.8914\n", + " and the parameters are [-2.2054636 3.07674867] -3.9072836841547454 ;\n", + "Epoch 250/1000, Cost: 1.7396\n", + " and the parameters are [-2.20547783 3.07682379] -3.9072693603512327 ;\n", + "Epoch 250/1000, Cost: 3.8394\n", + " and the parameters are [-2.20547713 3.07687919] -3.907290891344582 ;\n", + "Epoch 250/1000, Cost: 2.8654\n", + " and the parameters are [-2.20549106 3.0769717 ] -3.9072761408850054 ;\n", + "Epoch 250/1000, Cost: 2.6704\n", + " and the parameters are [-2.20552495 3.07698179] -3.907301219320444 ;\n", + "Epoch 250/1000, Cost: 3.6611\n", + " and the parameters are [-2.20562012 3.07698949] -3.907301459529314 ;\n", + "Epoch 250/1000, Cost: 3.8610\n", + " and the parameters are [-2.20564091 3.07706814] -3.9073127852949514 ;\n", + "Epoch 250/1000, Cost: 7.9170\n", + " and the parameters are [-2.2056308 3.07708669] -3.9072977892154395 ;\n", + "Epoch 250/1000, Cost: 4.7644\n", + " and the parameters are [-2.20560437 3.07718382] -3.9072970497580215 ;\n", + "Epoch 250/1000, Cost: 6.9149\n", + " and the parameters are [-2.20560093 3.07713486] -3.907344790920171 ;\n", + "Epoch 250/1000, Cost: 6.1080\n", + " and the parameters are [-2.20557017 3.07718395] -3.9073302537144556 ;\n", + "Epoch 250/1000, Cost: 4.6200\n", + " and the parameters are [-2.20572055 3.07715736] -3.9073372733581184 ;\n", + "Epoch 250/1000, Cost: 4.0083\n", + " and the parameters are [-2.20574369 3.07717104] -3.907389960695435 ;\n", + "Epoch 250/1000, Cost: 4.0998\n", + " and the parameters are [-2.20577863 3.07717888] -3.907429134340018 ;\n", + "Epoch 250/1000, Cost: 3.0016\n", + " and the parameters are [-2.20576701 3.07723235] -3.9074575713297373 ;\n", + "Epoch 250/1000, Cost: 4.2703\n", + " and the parameters are [-2.20584825 3.07715524] -3.907526864544648 ;\n", + "Epoch 250/1000, Cost: 3.4084\n", + " and the parameters are [-2.20583091 3.07721164] -3.907546055621258 ;\n", + "Epoch 250/1000, Cost: 3.5056\n", + " and the parameters are [-2.20582817 3.07730101] -3.907537931223466 ;\n", + "Epoch 250/1000, Cost: 4.7641\n", + " and the parameters are [-2.20581784 3.07726835] -3.907603514306462 ;\n", + "Epoch 250/1000, Cost: 5.2295\n", + " and the parameters are [-2.20589099 3.07713149] -3.9077081207059643 ;\n", + "Epoch 250/1000, Cost: 2.8268\n", + " and the parameters are [-2.20583127 3.0771695 ] -3.907765331093913 ;\n", + "Epoch 250/1000, Cost: 7.7948\n", + " and the parameters are [-2.20581331 3.07710699] -3.907850250010557 ;\n", + "Epoch 250/1000, Cost: 2.5344\n", + " and the parameters are [-2.20582574 3.07710653] -3.9079089254907102 ;\n", + "Epoch 250/1000, Cost: 2.5039\n", + " and the parameters are [-2.20586663 3.07713057] -3.9079284050101055 ;\n", + "Epoch 250/1000, Cost: 2.5196\n", + " and the parameters are [-2.20587829 3.07715572] -3.907945287407326 ;\n", + "Epoch 250/1000, Cost: 4.5081\n", + " and the parameters are [-2.20585432 3.07724798] -3.9079520044519613 ;\n", + "Epoch 250/1000, Cost: 3.8235\n", + " and the parameters are [-2.20586479 3.07730558] -3.9079386644084186 ;\n", + "Epoch 250/1000, Cost: 2.2218\n", + " and the parameters are [-2.2059673 3.07729649] -3.907938803303366 ;\n", + "Epoch 250/1000, Cost: 4.8194\n", + " and the parameters are [-2.20599324 3.07723672] -3.9080228736008147 ;\n", + "Epoch 250/1000, Cost: 1.5355\n", + " and the parameters are [-2.20597268 3.07730217] -3.908032771166085 ;\n", + "Epoch 250/1000, Cost: 4.5336\n", + " and the parameters are [-2.20597915 3.07728281] -3.9080907164494416 ;\n", + "Epoch 250/1000, Cost: 8.6950\n", + " and the parameters are [-2.20612683 3.07721875] -3.908078107461902 ;\n", + "Epoch 250/1000, Cost: 2.1521\n", + " and the parameters are [-2.20611585 3.07734227] -3.9080363635726774 ;\n", + "Epoch 250/1000, Cost: 8.3906\n", + " and the parameters are [-2.20606577 3.07725184] -3.908165850397776 ;\n", + "Epoch 250/1000, Cost: 2.0808\n", + " and the parameters are [-2.20609313 3.07721307] -3.9082218029760623 ;\n", + "Epoch 250/1000, Cost: 4.2744\n", + " and the parameters are [-2.20614885 3.07720572] -3.9082406503691502 ;\n", + "Epoch 250/1000, Cost: 3.2243\n", + " and the parameters are [-2.20612303 3.07727414] -3.9082434175367236 ;\n", + "Epoch 250/1000, Cost: 2.7987\n", + " and the parameters are [-2.20615306 3.07734248] -3.9082304532488377 ;\n", + "Epoch 250/1000, Cost: 3.2030\n", + " and the parameters are [-2.20615577 3.07741721] -3.9082264702502405 ;\n", + "Epoch 250/1000, Cost: 5.3192\n", + " and the parameters are [-2.20614757 3.07751093] -3.908201584085948 ;\n", + "Epoch 250/1000, Cost: 6.6854\n", + " and the parameters are [-2.20619684 3.07757324] -3.9081609200689416 ;\n", + "Epoch 250/1000, Cost: 3.1084\n", + " and the parameters are [-2.20622117 3.07767886] -3.9081336019975046 ;\n", + "Epoch 250/1000, Cost: 3.6348\n", + " and the parameters are [-2.20619604 3.07773761] -3.9081391194059063 ;\n", + "Epoch 250/1000, Cost: 3.1984\n", + " and the parameters are [-2.20619128 3.07775819] -3.908198358357353 ;\n", + "Epoch 250/1000, Cost: 1.7094\n", + " and the parameters are [-2.20618697 3.07784705] -3.9081774136852485 ;\n", + "Epoch 250/1000, Cost: 3.6027\n", + " and the parameters are [-2.20620033 3.07777546] -3.9082784402773343 ;\n", + "Epoch 250/1000, Cost: 3.5851\n", + " and the parameters are [-2.2062233 3.07780249] -3.908297050506107 ;\n", + "Epoch 250/1000, Cost: 2.6812\n", + " and the parameters are [-2.2062197 3.07793012] -3.9082592093141506 ;\n", + "Epoch 250/1000, Cost: 3.1925\n", + " and the parameters are [-2.20620973 3.07799511] -3.9082797057658634 ;\n", + "Epoch 250/1000, Cost: 3.8958\n", + " and the parameters are [-2.2062185 3.07806612] -3.9082891719536854 ;\n", + "Epoch 250/1000, Cost: 5.4874\n", + " and the parameters are [-2.20631107 3.07797529] -3.908358583948709 ;\n", + "Epoch 250/1000, Cost: 3.2921\n", + " and the parameters are [-2.20637857 3.07792846] -3.9084022189577268 ;\n", + "Epoch 250/1000, Cost: 4.8832\n", + " and the parameters are [-2.20650088 3.07779375] -3.9084713873724652 ;\n", + "Epoch 250/1000, Cost: 4.5849\n", + " and the parameters are [-2.20648814 3.07776482] -3.908568047125219 ;\n", + "Epoch 250/1000, Cost: 2.0500\n", + " and the parameters are [-2.20650138 3.07784346] -3.9085501553982556 ;\n", + "Epoch 250/1000, Cost: 2.7269\n", + " and the parameters are [-2.20652027 3.07783855] -3.9085994562538144 ;\n", + "Epoch 250/1000, Cost: 4.3533\n", + " and the parameters are [-2.20648771 3.07795412] -3.908574861359809 ;\n", + "Epoch 250/1000, Cost: 3.1955\n", + " and the parameters are [-2.20654324 3.07796163] -3.9085960763538106 ;\n", + "Epoch 250/1000, Cost: 2.4799\n", + " and the parameters are [-2.20654291 3.07802124] -3.9086062764278404 ;\n", + "Epoch 250/1000, Cost: 2.6606\n", + " and the parameters are [-2.20656527 3.07805742] -3.9086118860286025 ;\n", + "Epoch 260/1000, Cost: 3.7075\n", + " and the parameters are [-2.2330969 3.11040238] -3.955713310734121 ;\n", + "Epoch 260/1000, Cost: 3.0257\n", + " and the parameters are [-2.23306884 3.11041887] -3.95575938478739 ;\n", + "Epoch 260/1000, Cost: 3.1433\n", + " and the parameters are [-2.23309603 3.11036989] -3.9558378082553536 ;\n", + "Epoch 260/1000, Cost: 4.1572\n", + " and the parameters are [-2.23315615 3.11040631] -3.955850384803884 ;\n", + "Epoch 260/1000, Cost: 4.5015\n", + " and the parameters are [-2.23322946 3.11052558] -3.9557807522732644 ;\n", + "Epoch 260/1000, Cost: 4.6178\n", + " and the parameters are [-2.23323026 3.110574 ] -3.9557814431793 ;\n", + "Epoch 260/1000, Cost: 3.1022\n", + " and the parameters are [-2.23326464 3.1106636 ] -3.9557506235277233 ;\n", + "Epoch 260/1000, Cost: 2.1251\n", + " and the parameters are [-2.23326168 3.11069051] -3.9557802662284027 ;\n", + "Epoch 260/1000, Cost: 5.4374\n", + " and the parameters are [-2.23330698 3.11064408] -3.9558230539058914 ;\n", + "Epoch 260/1000, Cost: 2.3340\n", + " and the parameters are [-2.23331613 3.11075908] -3.9557727162892595 ;\n", + "Epoch 260/1000, Cost: 3.6095\n", + " and the parameters are [-2.23329049 3.11072605] -3.9558711680048626 ;\n", + "Epoch 260/1000, Cost: 5.0468\n", + " and the parameters are [-2.23333499 3.11078408] -3.955841795796989 ;\n", + "Epoch 260/1000, Cost: 3.9059\n", + " and the parameters are [-2.23333436 3.11075055] -3.9559144562336304 ;\n", + "Epoch 260/1000, Cost: 1.6647\n", + " and the parameters are [-2.23330943 3.1108336 ] -3.9559106841485865 ;\n", + "Epoch 260/1000, Cost: 4.2160\n", + " and the parameters are [-2.23327622 3.11080384] -3.9560010811431607 ;\n", + "Epoch 260/1000, Cost: 3.2545\n", + " and the parameters are [-2.23330003 3.11088496] -3.9559772133398243 ;\n", + "Epoch 260/1000, Cost: 3.0484\n", + " and the parameters are [-2.2332693 3.1109139] -3.9560306125634797 ;\n", + "Epoch 260/1000, Cost: 2.7013\n", + " and the parameters are [-2.23334089 3.11086121] -3.9560835066668383 ;\n", + "Epoch 260/1000, Cost: 2.9282\n", + " and the parameters are [-2.23338511 3.11094802] -3.956023981630172 ;\n", + "Epoch 260/1000, Cost: 6.4954\n", + " and the parameters are [-2.23344823 3.11090869] -3.9560506876073265 ;\n", + "Epoch 260/1000, Cost: 2.4060\n", + " and the parameters are [-2.23345386 3.11096727] -3.9560569074828402 ;\n", + "Epoch 260/1000, Cost: 2.1879\n", + " and the parameters are [-2.23348417 3.11095958] -3.9560822101323683 ;\n", + "Epoch 260/1000, Cost: 3.8588\n", + " and the parameters are [-2.23352811 3.11093598] -3.9561315964707258 ;\n", + "Epoch 260/1000, Cost: 3.1516\n", + " and the parameters are [-2.23350376 3.1109352 ] -3.956181219269775 ;\n", + "Epoch 260/1000, Cost: 3.6934\n", + " and the parameters are [-2.23353009 3.11093866] -3.956213144349955 ;\n", + "Epoch 260/1000, Cost: 2.9097\n", + " and the parameters are [-2.23350441 3.11094182] -3.9562797987258675 ;\n", + "Epoch 260/1000, Cost: 3.1068\n", + " and the parameters are [-2.2335478 3.11093554] -3.956306356256072 ;\n", + "Epoch 260/1000, Cost: 5.8652\n", + " and the parameters are [-2.23355163 3.11103736] -3.9562358728543097 ;\n", + "Epoch 260/1000, Cost: 3.4344\n", + " and the parameters are [-2.23353698 3.11107471] -3.956265335065404 ;\n", + "Epoch 260/1000, Cost: 4.7680\n", + " and the parameters are [-2.23347008 3.11114063] -3.956313931460669 ;\n", + "Epoch 260/1000, Cost: 3.7805\n", + " and the parameters are [-2.23350366 3.11110074] -3.956375247109017 ;\n", + "Epoch 260/1000, Cost: 3.4128\n", + " and the parameters are [-2.23358014 3.1110225 ] -3.9564541412920877 ;\n", + "Epoch 260/1000, Cost: 4.9480\n", + " and the parameters are [-2.2336664 3.11098724] -3.956472995664925 ;\n", + "Epoch 260/1000, Cost: 4.1604\n", + " and the parameters are [-2.23369664 3.11093507] -3.9565635309313345 ;\n", + "Epoch 260/1000, Cost: 5.0045\n", + " and the parameters are [-2.23373365 3.11082634] -3.9566593533107426 ;\n", + "Epoch 260/1000, Cost: 7.1996\n", + " and the parameters are [-2.23379976 3.11066105] -3.9567764547111723 ;\n", + "Epoch 260/1000, Cost: 2.3038\n", + " and the parameters are [-2.23380279 3.11068887] -3.95679659137162 ;\n", + "Epoch 260/1000, Cost: 6.5223\n", + " and the parameters are [-2.23380979 3.11064806] -3.9568633008246654 ;\n", + "Epoch 260/1000, Cost: 4.9385\n", + " and the parameters are [-2.23393619 3.11049829] -3.9569330316646742 ;\n", + "Epoch 260/1000, Cost: 4.1068\n", + " and the parameters are [-2.23398342 3.11044091] -3.9570106670064678 ;\n", + "Epoch 260/1000, Cost: 7.3669\n", + " and the parameters are [-2.23396194 3.1104803 ] -3.957010610036283 ;\n", + "Epoch 260/1000, Cost: 4.8572\n", + " and the parameters are [-2.23393258 3.11050289] -3.9570450947134437 ;\n", + "Epoch 260/1000, Cost: 4.0574\n", + " and the parameters are [-2.23397155 3.11046931] -3.9571055107397473 ;\n", + "Epoch 260/1000, Cost: 3.7794\n", + " and the parameters are [-2.23404453 3.11037581] -3.9572014240240274 ;\n", + "Epoch 260/1000, Cost: 4.8384\n", + " and the parameters are [-2.23405818 3.11049813] -3.95714708628432 ;\n", + "Epoch 260/1000, Cost: 6.4810\n", + " and the parameters are [-2.23410489 3.11037231] -3.957243031901273 ;\n", + "Epoch 260/1000, Cost: 5.5228\n", + " and the parameters are [-2.23414807 3.11038724] -3.9572591869670495 ;\n", + "Epoch 260/1000, Cost: 2.0211\n", + " and the parameters are [-2.23417969 3.11036409] -3.9573160622652317 ;\n", + "Epoch 260/1000, Cost: 2.7132\n", + " and the parameters are [-2.23412094 3.11046406] -3.957315667517382 ;\n", + "Epoch 260/1000, Cost: 6.2165\n", + " and the parameters are [-2.23419324 3.11035131] -3.9573717379726934 ;\n", + "Epoch 260/1000, Cost: 2.2186\n", + " and the parameters are [-2.2341913 3.11034458] -3.957428078838671 ;\n", + "Epoch 260/1000, Cost: 8.0744\n", + " and the parameters are [-2.23416432 3.11032404] -3.9574747998213726 ;\n", + "Epoch 260/1000, Cost: 3.8816\n", + " and the parameters are [-2.23418429 3.11036452] -3.95749526101025 ;\n", + "Epoch 260/1000, Cost: 3.9926\n", + " and the parameters are [-2.23425047 3.1102638 ] -3.957599148231569 ;\n", + "Epoch 260/1000, Cost: 3.8371\n", + " and the parameters are [-2.23416503 3.11040891] -3.957592782440822 ;\n", + "Epoch 260/1000, Cost: 1.7004\n", + " and the parameters are [-2.23414632 3.11047777] -3.957589524742657 ;\n", + "Epoch 260/1000, Cost: 5.0460\n", + " and the parameters are [-2.23430945 3.11030819] -3.957677003357386 ;\n", + "Epoch 260/1000, Cost: 1.8463\n", + " and the parameters are [-2.23428581 3.11036047] -3.957702068069125 ;\n", + "Epoch 260/1000, Cost: 4.6301\n", + " and the parameters are [-2.23438448 3.1102901 ] -3.9577553279051183 ;\n", + "Epoch 260/1000, Cost: 2.8295\n", + " and the parameters are [-2.23441571 3.11038756] -3.957713162937255 ;\n", + "Epoch 260/1000, Cost: 8.9391\n", + " and the parameters are [-2.23434301 3.11044421] -3.9576998853333465 ;\n", + "Epoch 260/1000, Cost: 3.4740\n", + " and the parameters are [-2.2343788 3.11041515] -3.957760607982211 ;\n", + "Epoch 260/1000, Cost: 3.0354\n", + " and the parameters are [-2.23431307 3.11051795] -3.9577794926193035 ;\n", + "Epoch 260/1000, Cost: 5.8776\n", + " and the parameters are [-2.23446591 3.11041025] -3.9578040115099142 ;\n", + "Epoch 260/1000, Cost: 4.1470\n", + " and the parameters are [-2.23455837 3.11037907] -3.957817353609831 ;\n", + "Epoch 260/1000, Cost: 2.7172\n", + " and the parameters are [-2.23448718 3.11044433] -3.9578455713995413 ;\n", + "Epoch 260/1000, Cost: 2.8285\n", + " and the parameters are [-2.234474 3.11049081] -3.957878222016312 ;\n", + "Epoch 260/1000, Cost: 2.6348\n", + " and the parameters are [-2.23446664 3.11057873] -3.9578779700386186 ;\n", + "Epoch 260/1000, Cost: 5.2329\n", + " and the parameters are [-2.23444157 3.11061274] -3.957907830146162 ;\n", + "Epoch 260/1000, Cost: 2.0923\n", + " and the parameters are [-2.23446124 3.11070227] -3.9578864292430147 ;\n", + "Epoch 260/1000, Cost: 3.5780\n", + " and the parameters are [-2.23450756 3.1106656 ] -3.9579257169878352 ;\n", + "Epoch 260/1000, Cost: 2.7494\n", + " and the parameters are [-2.23453721 3.11061698] -3.9579897222482647 ;\n", + "Epoch 260/1000, Cost: 2.3977\n", + " and the parameters are [-2.23451904 3.11071249] -3.957983048099451 ;\n", + "Epoch 260/1000, Cost: 2.3991\n", + " and the parameters are [-2.23454045 3.11078662] -3.9579603321488874 ;\n", + "Epoch 260/1000, Cost: 5.6682\n", + " and the parameters are [-2.23461285 3.110661 ] -3.958081850934968 ;\n", + "Epoch 260/1000, Cost: 5.2918\n", + " and the parameters are [-2.23459073 3.11062889] -3.958165431998322 ;\n", + "Epoch 260/1000, Cost: 1.7488\n", + " and the parameters are [-2.2345572 3.11069287] -3.958181715740519 ;\n", + "Epoch 260/1000, Cost: 4.3497\n", + " and the parameters are [-2.23458922 3.11065261] -3.95824787099825 ;\n", + "Epoch 260/1000, Cost: 4.1636\n", + " and the parameters are [-2.23460548 3.11055874] -3.9583506506824966 ;\n", + "Epoch 260/1000, Cost: 4.0159\n", + " and the parameters are [-2.23459695 3.11059367] -3.958389594343495 ;\n", + "Epoch 260/1000, Cost: 3.0546\n", + " and the parameters are [-2.23456762 3.11063045] -3.9584305435351164 ;\n", + "Epoch 260/1000, Cost: 6.5601\n", + " and the parameters are [-2.23459549 3.11060857] -3.958456027458167 ;\n", + "Epoch 260/1000, Cost: 3.2597\n", + " and the parameters are [-2.23461005 3.11058085] -3.9585200101091282 ;\n", + "Epoch 260/1000, Cost: 4.8422\n", + " and the parameters are [-2.23464316 3.11054263] -3.958588205847856 ;\n", + "Epoch 260/1000, Cost: 3.3060\n", + " and the parameters are [-2.23468619 3.1106176 ] -3.9585653737562283 ;\n", + "Epoch 260/1000, Cost: 3.2005\n", + " and the parameters are [-2.23467761 3.11070878] -3.9585715277693594 ;\n", + "Epoch 260/1000, Cost: 2.0355\n", + " and the parameters are [-2.23464197 3.11071384] -3.958625121108933 ;\n", + "Epoch 260/1000, Cost: 5.3169\n", + " and the parameters are [-2.23469271 3.11075704] -3.958575058107279 ;\n", + "Epoch 260/1000, Cost: 4.5851\n", + " and the parameters are [-2.23472468 3.11073955] -3.9586267312791015 ;\n", + "Epoch 260/1000, Cost: 3.4376\n", + " and the parameters are [-2.23473319 3.11093689] -3.9585117897542723 ;\n", + "Epoch 260/1000, Cost: 1.9004\n", + " and the parameters are [-2.23469051 3.11101449] -3.9585263520906335 ;\n", + "Epoch 260/1000, Cost: 2.8578\n", + " and the parameters are [-2.23467138 3.11104123] -3.958574398480117 ;\n", + "Epoch 260/1000, Cost: 4.6817\n", + " and the parameters are [-2.2347043 3.11091083] -3.9586995381580756 ;\n", + "Epoch 260/1000, Cost: 5.0889\n", + " and the parameters are [-2.23467243 3.11092551] -3.9587488077309314 ;\n", + "Epoch 260/1000, Cost: 3.6280\n", + " and the parameters are [-2.23474546 3.11089659] -3.9587982728780147 ;\n", + "Epoch 260/1000, Cost: 5.8546\n", + " and the parameters are [-2.23472777 3.11093094] -3.9588165558918016 ;\n", + "Epoch 260/1000, Cost: 4.0473\n", + " and the parameters are [-2.23469788 3.1109668 ] -3.958873527084034 ;\n", + "Epoch 260/1000, Cost: 7.5319\n", + " and the parameters are [-2.23474837 3.11074659] -3.959044757030642 ;\n", + "Epoch 260/1000, Cost: 2.9196\n", + " and the parameters are [-2.23480131 3.11082668] -3.9590130520337405 ;\n", + "Epoch 260/1000, Cost: 2.1134\n", + " and the parameters are [-2.23483107 3.11086738] -3.9589993119894102 ;\n", + "Epoch 260/1000, Cost: 2.7345\n", + " and the parameters are [-2.23483959 3.11092675] -3.959010421645946 ;\n", + "Epoch 260/1000, Cost: 1.9011\n", + " and the parameters are [-2.23480812 3.11098442] -3.9590391583671574 ;\n", + "Epoch 260/1000, Cost: 4.4530\n", + " and the parameters are [-2.2349257 3.11079603] -3.959173102607539 ;\n", + "Epoch 260/1000, Cost: 3.2358\n", + " and the parameters are [-2.23495243 3.11069679] -3.9592727578956604 ;\n", + "Epoch 260/1000, Cost: 4.7815\n", + " and the parameters are [-2.23480851 3.11066479] -3.959401589955186 ;\n", + "Epoch 260/1000, Cost: 2.9105\n", + " and the parameters are [-2.23480157 3.11068742] -3.95944607266165 ;\n", + "Epoch 260/1000, Cost: 4.8124\n", + " and the parameters are [-2.23483048 3.11072429] -3.9594629810246493 ;\n", + "Epoch 260/1000, Cost: 3.2360\n", + " and the parameters are [-2.23478819 3.11078656] -3.959503432540719 ;\n", + "Epoch 260/1000, Cost: 4.7562\n", + " and the parameters are [-2.23472676 3.11100587] -3.95942077312275 ;\n", + "Epoch 260/1000, Cost: 1.5538\n", + " and the parameters are [-2.23476967 3.11098674] -3.9594568926322085 ;\n", + "Epoch 260/1000, Cost: 4.3586\n", + " and the parameters are [-2.23474032 3.11104343] -3.9594650388869366 ;\n", + "Epoch 260/1000, Cost: 4.4921\n", + " and the parameters are [-2.23481953 3.1109029 ] -3.9595765177350035 ;\n", + "Epoch 260/1000, Cost: 3.9209\n", + " and the parameters are [-2.23482476 3.11097224] -3.9595644161486296 ;\n", + "Epoch 260/1000, Cost: 3.3710\n", + " and the parameters are [-2.23489753 3.11093831] -3.9596047093545694 ;\n", + "Epoch 260/1000, Cost: 2.0128\n", + " and the parameters are [-2.23492667 3.11094981] -3.9596156076550946 ;\n", + "Epoch 260/1000, Cost: 3.1255\n", + " and the parameters are [-2.23497127 3.11101758] -3.9595722455620437 ;\n", + "Epoch 260/1000, Cost: 4.1575\n", + " and the parameters are [-2.23500565 3.111058 ] -3.959571705282268 ;\n", + "Epoch 260/1000, Cost: 4.2945\n", + " and the parameters are [-2.2350126 3.11116429] -3.9595295681693896 ;\n", + "Epoch 260/1000, Cost: 3.4059\n", + " and the parameters are [-2.23497886 3.11122894] -3.9595674072016966 ;\n", + "Epoch 260/1000, Cost: 2.3680\n", + " and the parameters are [-2.23505735 3.11126442] -3.9595488599454187 ;\n", + "Epoch 260/1000, Cost: 4.2740\n", + " and the parameters are [-2.23509761 3.11137302] -3.9595067024472717 ;\n", + "Epoch 260/1000, Cost: 1.1489\n", + " and the parameters are [-2.23511488 3.11139536] -3.9595236786558896 ;\n", + "Epoch 260/1000, Cost: 3.8157\n", + " and the parameters are [-2.23518435 3.11131637] -3.9595883692318576 ;\n", + "Epoch 260/1000, Cost: 2.9756\n", + " and the parameters are [-2.2351657 3.1113899] -3.9595800397935683 ;\n", + "Epoch 260/1000, Cost: 3.1403\n", + " and the parameters are [-2.2351197 3.1115224] -3.9595492291247063 ;\n", + "Epoch 260/1000, Cost: 3.4106\n", + " and the parameters are [-2.23512692 3.11149742] -3.9596218009579354 ;\n", + "Epoch 260/1000, Cost: 8.3263\n", + " and the parameters are [-2.23511368 3.11161262] -3.959542074575449 ;\n", + "Epoch 260/1000, Cost: 8.1253\n", + " and the parameters are [-2.23509028 3.11144935] -3.9597242626528484 ;\n", + "Epoch 260/1000, Cost: 2.9640\n", + " and the parameters are [-2.23503792 3.11155701] -3.9597227569416145 ;\n", + "Epoch 260/1000, Cost: 9.2546\n", + " and the parameters are [-2.23497728 3.11178623] -3.959604624426697 ;\n", + "Epoch 260/1000, Cost: 4.7519\n", + " and the parameters are [-2.23494 3.11180211] -3.959653929292451 ;\n", + "Epoch 260/1000, Cost: 3.4883\n", + " and the parameters are [-2.23495059 3.11195571] -3.959584768149458 ;\n", + "Epoch 260/1000, Cost: 5.2284\n", + " and the parameters are [-2.23489923 3.11198275] -3.9596274361066457 ;\n", + "Epoch 260/1000, Cost: 7.7933\n", + " and the parameters are [-2.23480002 3.11211575] -3.9596094838704814 ;\n", + "Epoch 260/1000, Cost: 4.1380\n", + " and the parameters are [-2.23482651 3.11215516] -3.959609254763373 ;\n", + "Epoch 260/1000, Cost: 4.3359\n", + " and the parameters are [-2.23486529 3.11214654] -3.9596497903598316 ;\n", + "Epoch 260/1000, Cost: 1.9191\n", + " and the parameters are [-2.23486597 3.11219046] -3.959667377216485 ;\n", + "Epoch 260/1000, Cost: 4.5315\n", + " and the parameters are [-2.23493549 3.11232517] -3.9595717584921557 ;\n", + "Epoch 260/1000, Cost: 2.5829\n", + " and the parameters are [-2.23494389 3.11243116] -3.9595287526661727 ;\n", + "Epoch 260/1000, Cost: 6.7183\n", + " and the parameters are [-2.23491999 3.11255891] -3.9594793156619805 ;\n", + "Epoch 260/1000, Cost: 5.4340\n", + " and the parameters are [-2.23494307 3.11249989] -3.9595582946815346 ;\n", + "Epoch 260/1000, Cost: 3.6342\n", + " and the parameters are [-2.23499585 3.11238755] -3.9596488221461135 ;\n", + "Epoch 260/1000, Cost: 2.3982\n", + " and the parameters are [-2.23499567 3.11247692] -3.959643766707629 ;\n", + "Epoch 260/1000, Cost: 2.0118\n", + " and the parameters are [-2.2350392 3.11251107] -3.959636504288211 ;\n", + "Epoch 260/1000, Cost: 4.0209\n", + " and the parameters are [-2.23518111 3.11244792] -3.9596344620095083 ;\n", + "Epoch 260/1000, Cost: 3.3082\n", + " and the parameters are [-2.23520586 3.11242792] -3.9596836253446104 ;\n", + "Epoch 260/1000, Cost: 2.7321\n", + " and the parameters are [-2.2352002 3.1125195] -3.9596687826263963 ;\n", + "Epoch 260/1000, Cost: 4.4375\n", + " and the parameters are [-2.23522362 3.11240883] -3.9598018626850684 ;\n", + "Epoch 260/1000, Cost: 4.6653\n", + " and the parameters are [-2.23527333 3.11246145] -3.959768719734676 ;\n", + "Epoch 260/1000, Cost: 5.5703\n", + " and the parameters are [-2.23534808 3.11240495] -3.9598154004501507 ;\n", + "Epoch 260/1000, Cost: 5.9840\n", + " and the parameters are [-2.23536955 3.11226911] -3.9599497891671653 ;\n", + "Epoch 260/1000, Cost: 4.8811\n", + " and the parameters are [-2.23531003 3.11230291] -3.960001806005297 ;\n", + "Epoch 260/1000, Cost: 3.3719\n", + " and the parameters are [-2.23524778 3.11231201] -3.960077790578603 ;\n", + "Epoch 260/1000, Cost: 5.4280\n", + " and the parameters are [-2.23527943 3.11235805] -3.960053949035171 ;\n", + "Epoch 260/1000, Cost: 5.8333\n", + " and the parameters are [-2.23534552 3.1122493 ] -3.960138361429119 ;\n", + "Epoch 260/1000, Cost: 4.2979\n", + " and the parameters are [-2.23532993 3.11238777] -3.9601145586474837 ;\n", + "Epoch 260/1000, Cost: 3.0503\n", + " and the parameters are [-2.23533078 3.11245216] -3.9601234759405797 ;\n", + "Epoch 260/1000, Cost: 1.8712\n", + " and the parameters are [-2.23529547 3.11246417] -3.9601816107298107 ;\n", + "Epoch 260/1000, Cost: 5.2740\n", + " and the parameters are [-2.23531553 3.11238708] -3.9602700232038806 ;\n", + "Epoch 260/1000, Cost: 2.8579\n", + " and the parameters are [-2.2352992 3.11239576] -3.9603317299482854 ;\n", + "Epoch 260/1000, Cost: 2.8756\n", + " and the parameters are [-2.23528534 3.11251097] -3.9603138013713477 ;\n", + "Epoch 260/1000, Cost: 3.6652\n", + " and the parameters are [-2.23532994 3.11250524] -3.960350666927519 ;\n", + "Epoch 260/1000, Cost: 7.1001\n", + " and the parameters are [-2.2353653 3.11258381] -3.960299046949924 ;\n", + "Epoch 260/1000, Cost: 5.1958\n", + " and the parameters are [-2.23535507 3.1124638 ] -3.9604440903962517 ;\n", + "Epoch 260/1000, Cost: 1.9076\n", + " and the parameters are [-2.23537338 3.11248331] -3.960469947709258 ;\n", + "Epoch 260/1000, Cost: 2.5657\n", + " and the parameters are [-2.23536368 3.11250695] -3.960513217089015 ;\n", + "Epoch 260/1000, Cost: 2.4844\n", + " and the parameters are [-2.2353729 3.11253629] -3.9605234836199665 ;\n", + "Epoch 260/1000, Cost: 4.0538\n", + " and the parameters are [-2.23535829 3.11256584] -3.9605703796878062 ;\n", + "Epoch 260/1000, Cost: 4.2257\n", + " and the parameters are [-2.23537651 3.11269999] -3.960523986446064 ;\n", + "Epoch 260/1000, Cost: 5.0449\n", + " and the parameters are [-2.23540662 3.11271 ] -3.9605388224790303 ;\n", + "Epoch 260/1000, Cost: 2.8414\n", + " and the parameters are [-2.23542456 3.11283977] -3.9604893854578225 ;\n", + "Epoch 260/1000, Cost: 2.2341\n", + " and the parameters are [-2.23542413 3.11295698] -3.9604423836159177 ;\n", + "Epoch 260/1000, Cost: 5.2566\n", + " and the parameters are [-2.2354658 3.11288851] -3.9605051329956997 ;\n", + "Epoch 260/1000, Cost: 4.0361\n", + " and the parameters are [-2.23540643 3.11299971] -3.960497161425051 ;\n", + "Epoch 260/1000, Cost: 2.6323\n", + " and the parameters are [-2.23539277 3.11307976] -3.9604945913117873 ;\n", + "Epoch 260/1000, Cost: 2.5717\n", + " and the parameters are [-2.23541276 3.11322997] -3.9604213667410395 ;\n", + "Epoch 260/1000, Cost: 4.9855\n", + " and the parameters are [-2.23536114 3.11328445] -3.960449269808033 ;\n", + "Epoch 260/1000, Cost: 3.5498\n", + " and the parameters are [-2.23537648 3.11334315] -3.960462651645118 ;\n", + "Epoch 260/1000, Cost: 3.2210\n", + " and the parameters are [-2.2354625 3.11337633] -3.960457383067482 ;\n", + "Epoch 260/1000, Cost: 6.0182\n", + " and the parameters are [-2.23543631 3.11341508] -3.960483132823354 ;\n", + "Epoch 260/1000, Cost: 1.2640\n", + " and the parameters are [-2.23542486 3.11348127] -3.9604833167077977 ;\n", + "Epoch 260/1000, Cost: 4.8156\n", + " and the parameters are [-2.23545074 3.11359191] -3.96044933931432 ;\n", + "Epoch 260/1000, Cost: 2.8766\n", + " and the parameters are [-2.23548406 3.11368124] -3.960415888217201 ;\n", + "Epoch 260/1000, Cost: 4.5110\n", + " and the parameters are [-2.23543573 3.11377861] -3.960420559300857 ;\n", + "Epoch 260/1000, Cost: 4.5230\n", + " and the parameters are [-2.2354839 3.11373433] -3.960494549243974 ;\n", + "Epoch 260/1000, Cost: 3.4358\n", + " and the parameters are [-2.23566266 3.11360846] -3.9605486376752768 ;\n", + "Epoch 260/1000, Cost: 3.4089\n", + " and the parameters are [-2.23565226 3.11374518] -3.960509211279672 ;\n", + "Epoch 260/1000, Cost: 4.5296\n", + " and the parameters are [-2.2356944 3.11369421] -3.960588312795411 ;\n", + "Epoch 260/1000, Cost: 2.4418\n", + " and the parameters are [-2.23574567 3.11372237] -3.960583115381988 ;\n", + "Epoch 260/1000, Cost: 2.1202\n", + " and the parameters are [-2.23573569 3.11383071] -3.960548542409927 ;\n", + "Epoch 260/1000, Cost: 7.1078\n", + " and the parameters are [-2.23572512 3.11373398] -3.960633061018674 ;\n", + "Epoch 260/1000, Cost: 2.8341\n", + " and the parameters are [-2.23574812 3.1137985 ] -3.9606096198190297 ;\n", + "Epoch 260/1000, Cost: 2.1007\n", + " and the parameters are [-2.23580235 3.11382962] -3.96060810669303 ;\n", + "Epoch 260/1000, Cost: 3.3468\n", + " and the parameters are [-2.23575287 3.11385924] -3.9606589032701662 ;\n", + "Epoch 260/1000, Cost: 4.5553\n", + " and the parameters are [-2.23578312 3.11380838] -3.9607302838669725 ;\n", + "Epoch 260/1000, Cost: 3.3176\n", + " and the parameters are [-2.23584276 3.11376122] -3.9607903862788123 ;\n", + "Epoch 260/1000, Cost: 5.7039\n", + " and the parameters are [-2.23584275 3.1138348 ] -3.960782538027226 ;\n", + "Epoch 260/1000, Cost: 2.2865\n", + " and the parameters are [-2.23583854 3.11393543] -3.960765092410528 ;\n", + "Epoch 260/1000, Cost: 2.2500\n", + " and the parameters are [-2.2358129 3.11400751] -3.9607634029524466 ;\n", + "Epoch 260/1000, Cost: 4.9895\n", + " and the parameters are [-2.23593807 3.11389347] -3.9608537510690565 ;\n", + "Epoch 270/1000, Cost: 3.5522\n", + " and the parameters are [-2.2615905 3.14500145] -4.0064634869040345 ;\n", + "Epoch 270/1000, Cost: 3.5230\n", + " and the parameters are [-2.26160901 3.14503856] -4.006484791273116 ;\n", + "Epoch 270/1000, Cost: 3.9550\n", + " and the parameters are [-2.26167712 3.14507454] -4.006487833217932 ;\n", + "Epoch 270/1000, Cost: 3.3433\n", + " and the parameters are [-2.26171843 3.14501516] -4.006562539163111 ;\n", + "Epoch 270/1000, Cost: 6.0045\n", + " and the parameters are [-2.26175104 3.14494738] -4.006649008631972 ;\n", + "Epoch 270/1000, Cost: 4.0312\n", + " and the parameters are [-2.26179055 3.14489085] -4.006721078774207 ;\n", + "Epoch 270/1000, Cost: 5.9967\n", + " and the parameters are [-2.26188932 3.14480718] -4.006781136605068 ;\n", + "Epoch 270/1000, Cost: 3.8558\n", + " and the parameters are [-2.26186848 3.14488741] -4.006792682401901 ;\n", + "Epoch 270/1000, Cost: 2.7665\n", + " and the parameters are [-2.26184953 3.14489731] -4.006841004197387 ;\n", + "Epoch 270/1000, Cost: 4.2178\n", + " and the parameters are [-2.26174321 3.14496365] -4.006920581886913 ;\n", + "Epoch 270/1000, Cost: 4.1201\n", + " and the parameters are [-2.2617387 3.14493275] -4.00700464270964 ;\n", + "Epoch 270/1000, Cost: 1.6800\n", + " and the parameters are [-2.26177356 3.14496573] -4.006998136572449 ;\n", + "Epoch 270/1000, Cost: 4.6006\n", + " and the parameters are [-2.26177392 3.14491849] -4.0070642365893585 ;\n", + "Epoch 270/1000, Cost: 6.9417\n", + " and the parameters are [-2.26183827 3.14473911] -4.007204163041752 ;\n", + "Epoch 270/1000, Cost: 4.7125\n", + " and the parameters are [-2.26185854 3.14465939] -4.007305388429209 ;\n", + "Epoch 270/1000, Cost: 3.5367\n", + " and the parameters are [-2.26188808 3.14461741] -4.007374841998574 ;\n", + "Epoch 270/1000, Cost: 2.7344\n", + " and the parameters are [-2.26187645 3.14468845] -4.007374675085995 ;\n", + "Epoch 270/1000, Cost: 3.9234\n", + " and the parameters are [-2.26182366 3.14471715] -4.007429314322876 ;\n", + "Epoch 270/1000, Cost: 2.0937\n", + " and the parameters are [-2.2617821 3.14484445] -4.007408328463425 ;\n", + "Epoch 270/1000, Cost: 2.8680\n", + " and the parameters are [-2.26180204 3.14490698] -4.007410332676388 ;\n", + "Epoch 270/1000, Cost: 2.9738\n", + " and the parameters are [-2.26175827 3.14503975] -4.007382927670711 ;\n", + "Epoch 270/1000, Cost: 1.9763\n", + " and the parameters are [-2.26172609 3.14515015] -4.007368147261106 ;\n", + "Epoch 270/1000, Cost: 4.4578\n", + " and the parameters are [-2.26182517 3.14510069] -4.007405906258891 ;\n", + "Epoch 270/1000, Cost: 1.5601\n", + " and the parameters are [-2.26185191 3.14514742] -4.007404422920239 ;\n", + "Epoch 270/1000, Cost: 3.2865\n", + " and the parameters are [-2.26186665 3.14523145] -4.007384606463721 ;\n", + "Epoch 270/1000, Cost: 4.5154\n", + " and the parameters are [-2.26191734 3.14527418] -4.007374874437246 ;\n", + "Epoch 270/1000, Cost: 4.8349\n", + " and the parameters are [-2.26189866 3.14520993] -4.0074732515355835 ;\n", + "Epoch 270/1000, Cost: 2.2294\n", + " and the parameters are [-2.26195146 3.14521741] -4.007498759704472 ;\n", + "Epoch 270/1000, Cost: 4.0504\n", + " and the parameters are [-2.26204809 3.14514277] -4.007553535907587 ;\n", + "Epoch 270/1000, Cost: 2.6860\n", + " and the parameters are [-2.26205384 3.14522455] -4.00754445085635 ;\n", + "Epoch 270/1000, Cost: 3.5471\n", + " and the parameters are [-2.26199148 3.14527957] -4.007595401267772 ;\n", + "Epoch 270/1000, Cost: 2.2130\n", + " and the parameters are [-2.26200588 3.14532485] -4.007606530925481 ;\n", + "Epoch 270/1000, Cost: 3.9735\n", + " and the parameters are [-2.26206497 3.14518997] -4.007723868921704 ;\n", + "Epoch 270/1000, Cost: 3.1869\n", + " and the parameters are [-2.26198389 3.14537529] -4.007682966406203 ;\n", + "Epoch 270/1000, Cost: 5.5935\n", + " and the parameters are [-2.26190329 3.14552734] -4.007677263584751 ;\n", + "Epoch 270/1000, Cost: 5.6786\n", + " and the parameters are [-2.26185149 3.14551522] -4.007756474123149 ;\n", + "Epoch 270/1000, Cost: 4.6421\n", + " and the parameters are [-2.26192794 3.14544046] -4.007798934790628 ;\n", + "Epoch 270/1000, Cost: 4.3011\n", + " and the parameters are [-2.26195831 3.1454484 ] -4.007814650115672 ;\n", + "Epoch 270/1000, Cost: 2.2902\n", + " and the parameters are [-2.26194795 3.14551941] -4.00781026745075 ;\n", + "Epoch 270/1000, Cost: 3.9576\n", + " and the parameters are [-2.26198118 3.14549661] -4.007856556109376 ;\n", + "Epoch 270/1000, Cost: 5.4747\n", + " and the parameters are [-2.26192175 3.14555295] -4.007882316194604 ;\n", + "Epoch 270/1000, Cost: 5.5977\n", + " and the parameters are [-2.26192778 3.14542037] -4.008037774706101 ;\n", + "Epoch 270/1000, Cost: 3.8163\n", + " and the parameters are [-2.26197903 3.14543768] -4.008056177561382 ;\n", + "Epoch 270/1000, Cost: 4.5185\n", + " and the parameters are [-2.26205737 3.1454224 ] -4.008051162101737 ;\n", + "Epoch 270/1000, Cost: 4.4275\n", + " and the parameters are [-2.26206813 3.14546859] -4.0080484354059775 ;\n", + "Epoch 270/1000, Cost: 4.4497\n", + " and the parameters are [-2.26209211 3.14554897] -4.007989133660443 ;\n", + "Epoch 270/1000, Cost: 2.0128\n", + " and the parameters are [-2.26210384 3.14559564] -4.0079982502513625 ;\n", + "Epoch 270/1000, Cost: 2.3428\n", + " and the parameters are [-2.26212166 3.1457054 ] -4.007944020883208 ;\n", + "Epoch 270/1000, Cost: 4.6978\n", + " and the parameters are [-2.26215439 3.14565199] -4.007998581914478 ;\n", + "Epoch 270/1000, Cost: 4.1591\n", + " and the parameters are [-2.26220316 3.14556718] -4.008056393605863 ;\n", + "Epoch 270/1000, Cost: 2.4739\n", + " and the parameters are [-2.26222744 3.14562523] -4.008049567042344 ;\n", + "Epoch 270/1000, Cost: 4.7105\n", + " and the parameters are [-2.26226611 3.14558893] -4.008124405130232 ;\n", + "Epoch 270/1000, Cost: 3.3133\n", + " and the parameters are [-2.26229206 3.14552018] -4.008202631946536 ;\n", + "Epoch 270/1000, Cost: 1.6232\n", + " and the parameters are [-2.26228534 3.14559519] -4.008197170921791 ;\n", + "Epoch 270/1000, Cost: 4.7970\n", + " and the parameters are [-2.26232591 3.14561652] -4.0082196757348285 ;\n", + "Epoch 270/1000, Cost: 5.0022\n", + " and the parameters are [-2.26233062 3.1457316 ] -4.008157239360475 ;\n", + "Epoch 270/1000, Cost: 2.2810\n", + " and the parameters are [-2.26240873 3.14576778] -4.008131042501622 ;\n", + "Epoch 270/1000, Cost: 4.7771\n", + " and the parameters are [-2.26242544 3.14579456] -4.0081557315330185 ;\n", + "Epoch 270/1000, Cost: 4.2693\n", + " and the parameters are [-2.26241683 3.14576499] -4.008243212709394 ;\n", + "Epoch 270/1000, Cost: 4.6154\n", + " and the parameters are [-2.2624709 3.14572089] -4.008292153048871 ;\n", + "Epoch 270/1000, Cost: 2.2831\n", + " and the parameters are [-2.26245536 3.14577818] -4.008309206219512 ;\n", + "Epoch 270/1000, Cost: 1.4290\n", + " and the parameters are [-2.26245768 3.14584225] -4.008302082887399 ;\n", + "Epoch 270/1000, Cost: 3.7414\n", + " and the parameters are [-2.26245658 3.14598384] -4.008242171992749 ;\n", + "Epoch 270/1000, Cost: 3.2218\n", + " and the parameters are [-2.26243557 3.14616177] -4.008179882544386 ;\n", + "Epoch 270/1000, Cost: 1.6572\n", + " and the parameters are [-2.26244466 3.14618029] -4.008208470168611 ;\n", + "Epoch 270/1000, Cost: 2.5481\n", + " and the parameters are [-2.26246118 3.14613964] -4.008279025667313 ;\n", + "Epoch 270/1000, Cost: 5.2921\n", + " and the parameters are [-2.26254062 3.14606656] -4.008304293495568 ;\n", + "Epoch 270/1000, Cost: 4.7600\n", + " and the parameters are [-2.26255927 3.1460674 ] -4.008332028174969 ;\n", + "Epoch 270/1000, Cost: 9.5748\n", + " and the parameters are [-2.26250508 3.14618681] -4.008235201376513 ;\n", + "Epoch 270/1000, Cost: 3.6993\n", + " and the parameters are [-2.26259605 3.14616885] -4.008245737055682 ;\n", + "Epoch 270/1000, Cost: 3.7527\n", + " and the parameters are [-2.26260467 3.14625623] -4.008216481651437 ;\n", + "Epoch 270/1000, Cost: 5.0213\n", + " and the parameters are [-2.26254695 3.1462576 ] -4.008278178226594 ;\n", + "Epoch 270/1000, Cost: 1.8711\n", + " and the parameters are [-2.26255862 3.14627445] -4.008311585687047 ;\n", + "Epoch 270/1000, Cost: 5.4305\n", + " and the parameters are [-2.262554 3.14635695] -4.0082829435301255 ;\n", + "Epoch 270/1000, Cost: 4.3199\n", + " and the parameters are [-2.26252361 3.1464762 ] -4.008240889649825 ;\n", + "Epoch 270/1000, Cost: 5.3875\n", + " and the parameters are [-2.26247376 3.14650969] -4.008256573935284 ;\n", + "Epoch 270/1000, Cost: 2.7378\n", + " and the parameters are [-2.26246622 3.14656073] -4.008272666147299 ;\n", + "Epoch 270/1000, Cost: 4.5011\n", + " and the parameters are [-2.26247063 3.14663555] -4.008259741853243 ;\n", + "Epoch 270/1000, Cost: 6.4576\n", + " and the parameters are [-2.26263665 3.14633756] -4.008431403346236 ;\n", + "Epoch 270/1000, Cost: 5.3075\n", + " and the parameters are [-2.26269333 3.14628504] -4.008450134873333 ;\n", + "Epoch 270/1000, Cost: 5.8335\n", + " and the parameters are [-2.26271361 3.14626542] -4.008488004795865 ;\n", + "Epoch 270/1000, Cost: 5.2124\n", + " and the parameters are [-2.26275383 3.14631736] -4.008477375243079 ;\n", + "Epoch 270/1000, Cost: 2.3367\n", + " and the parameters are [-2.26269734 3.14642294] -4.0084769310997785 ;\n", + "Epoch 270/1000, Cost: 5.4789\n", + " and the parameters are [-2.26269924 3.14647199] -4.008453533870417 ;\n", + "Epoch 270/1000, Cost: 2.5465\n", + " and the parameters are [-2.26271612 3.14647068] -4.008493251871729 ;\n", + "Epoch 270/1000, Cost: 5.2889\n", + " and the parameters are [-2.26277995 3.14650772] -4.008459866831007 ;\n", + "Epoch 270/1000, Cost: 4.5927\n", + " and the parameters are [-2.2626298 3.14656556] -4.008557028591563 ;\n", + "Epoch 270/1000, Cost: 3.9055\n", + " and the parameters are [-2.26262421 3.146532 ] -4.008641258745314 ;\n", + "Epoch 270/1000, Cost: 3.0985\n", + " and the parameters are [-2.26262815 3.14659412] -4.008645476643057 ;\n", + "Epoch 270/1000, Cost: 4.6679\n", + " and the parameters are [-2.26265061 3.14658586] -4.008666773663774 ;\n", + "Epoch 270/1000, Cost: 3.7196\n", + " and the parameters are [-2.26266373 3.14655854] -4.008726585099352 ;\n", + "Epoch 270/1000, Cost: 3.8050\n", + " and the parameters are [-2.26267036 3.14664276] -4.008715106304532 ;\n", + "Epoch 270/1000, Cost: 3.3241\n", + " and the parameters are [-2.26264719 3.14677141] -4.008676086994901 ;\n", + "Epoch 270/1000, Cost: 2.6497\n", + " and the parameters are [-2.26270625 3.14675332] -4.008714250783642 ;\n", + "Epoch 270/1000, Cost: 6.8051\n", + " and the parameters are [-2.26269242 3.14664121] -4.008841858884523 ;\n", + "Epoch 270/1000, Cost: 3.0170\n", + " and the parameters are [-2.26268204 3.14667525] -4.008876563717942 ;\n", + "Epoch 270/1000, Cost: 3.5765\n", + " and the parameters are [-2.26265678 3.14675777] -4.008885333840609 ;\n", + "Epoch 270/1000, Cost: 2.6307\n", + " and the parameters are [-2.26269209 3.14677854] -4.008913077111097 ;\n", + "Epoch 270/1000, Cost: 4.9898\n", + " and the parameters are [-2.26263929 3.14679625] -4.008954655473733 ;\n", + "Epoch 270/1000, Cost: 4.1707\n", + " and the parameters are [-2.26267661 3.14669206] -4.009064611690687 ;\n", + "Epoch 270/1000, Cost: 3.6244\n", + " and the parameters are [-2.26264907 3.14677179] -4.009061894368116 ;\n", + "Epoch 270/1000, Cost: 3.0846\n", + " and the parameters are [-2.26268269 3.14678495] -4.009084508327353 ;\n", + "Epoch 270/1000, Cost: 5.3255\n", + " and the parameters are [-2.26265807 3.14681574] -4.0091143282323065 ;\n", + "Epoch 270/1000, Cost: 4.7335\n", + " and the parameters are [-2.26264842 3.14673308] -4.00923605785991 ;\n", + "Epoch 270/1000, Cost: 3.4020\n", + " and the parameters are [-2.26265953 3.14680867] -4.009216027397966 ;\n", + "Epoch 270/1000, Cost: 3.0200\n", + " and the parameters are [-2.26272893 3.146724 ] -4.009279550786851 ;\n", + "Epoch 270/1000, Cost: 2.7999\n", + " and the parameters are [-2.26272001 3.14673518] -4.009322197650095 ;\n", + "Epoch 270/1000, Cost: 6.0929\n", + " and the parameters are [-2.26281889 3.14666811] -4.0093705223845495 ;\n", + "Epoch 270/1000, Cost: 2.5977\n", + " and the parameters are [-2.262845 3.14659368] -4.009460602260949 ;\n", + "Epoch 270/1000, Cost: 2.1039\n", + " and the parameters are [-2.26286543 3.14663548] -4.009472115016509 ;\n", + "Epoch 270/1000, Cost: 3.5106\n", + " and the parameters are [-2.26283863 3.14664164] -4.009536746116971 ;\n", + "Epoch 270/1000, Cost: 3.3074\n", + " and the parameters are [-2.26279527 3.14670449] -4.00953655930253 ;\n", + "Epoch 270/1000, Cost: 3.8811\n", + " and the parameters are [-2.26281846 3.1467889 ] -4.009505676991411 ;\n", + "Epoch 270/1000, Cost: 2.9468\n", + " and the parameters are [-2.26284541 3.14686323] -4.009475976263373 ;\n", + "Epoch 270/1000, Cost: 1.9679\n", + " and the parameters are [-2.26291493 3.14678943] -4.0095394057880185 ;\n", + "Epoch 270/1000, Cost: 3.5864\n", + " and the parameters are [-2.26292357 3.14691621] -4.009473495455271 ;\n", + "Epoch 270/1000, Cost: 3.1368\n", + " and the parameters are [-2.26299309 3.14686305] -4.0095441482618215 ;\n", + "Epoch 270/1000, Cost: 5.5538\n", + " and the parameters are [-2.26317179 3.14676928] -4.009540516877726 ;\n", + "Epoch 270/1000, Cost: 4.3090\n", + " and the parameters are [-2.26311503 3.14685867] -4.009554783003267 ;\n", + "Epoch 270/1000, Cost: 5.9119\n", + " and the parameters are [-2.26312896 3.14681243] -4.009602544276191 ;\n", + "Epoch 270/1000, Cost: 4.4782\n", + " and the parameters are [-2.26314654 3.14677586] -4.009650717248309 ;\n", + "Epoch 270/1000, Cost: 3.7773\n", + " and the parameters are [-2.26309813 3.14681304] -4.009703459687048 ;\n", + "Epoch 270/1000, Cost: 4.2983\n", + " and the parameters are [-2.26312387 3.14682794] -4.0097311534760625 ;\n", + "Epoch 270/1000, Cost: 4.4877\n", + " and the parameters are [-2.26308794 3.14683608] -4.009796524728206 ;\n", + "Epoch 270/1000, Cost: 4.0954\n", + " and the parameters are [-2.26306801 3.14684304] -4.009871498468566 ;\n", + "Epoch 270/1000, Cost: 5.8695\n", + " and the parameters are [-2.26305823 3.14689173] -4.009874501678434 ;\n", + "Epoch 270/1000, Cost: 4.3856\n", + " and the parameters are [-2.26307687 3.14695683] -4.009840883193101 ;\n", + "Epoch 270/1000, Cost: 4.5200\n", + " and the parameters are [-2.26307961 3.14697396] -4.009858055746768 ;\n", + "Epoch 270/1000, Cost: 3.7936\n", + " and the parameters are [-2.26311465 3.14697716] -4.00986305979965 ;\n", + "Epoch 270/1000, Cost: 3.1329\n", + " and the parameters are [-2.26309563 3.14709007] -4.00984295203555 ;\n", + "Epoch 270/1000, Cost: 3.6117\n", + " and the parameters are [-2.26304467 3.14714591] -4.009871194704151 ;\n", + "Epoch 270/1000, Cost: 2.7187\n", + " and the parameters are [-2.26303745 3.14720401] -4.009876789810364 ;\n", + "Epoch 270/1000, Cost: 2.6197\n", + " and the parameters are [-2.2630495 3.1472424] -4.009894036336883 ;\n", + "Epoch 270/1000, Cost: 3.3813\n", + " and the parameters are [-2.26313397 3.14721778] -4.0099070968422215 ;\n", + "Epoch 270/1000, Cost: 3.4655\n", + " and the parameters are [-2.26314146 3.14732466] -4.0098838807265835 ;\n", + "Epoch 270/1000, Cost: 3.0743\n", + " and the parameters are [-2.26314648 3.14739802] -4.009890342801272 ;\n", + "Epoch 270/1000, Cost: 3.3635\n", + " and the parameters are [-2.26314476 3.14743916] -4.009924855933285 ;\n", + "Epoch 270/1000, Cost: 3.8350\n", + " and the parameters are [-2.26316651 3.14741646] -4.009969278851373 ;\n", + "Epoch 270/1000, Cost: 3.2609\n", + " and the parameters are [-2.26321282 3.14731871] -4.010062107765708 ;\n", + "Epoch 270/1000, Cost: 3.5718\n", + " and the parameters are [-2.26318491 3.14748772] -4.0099952991513685 ;\n", + "Epoch 270/1000, Cost: 2.4044\n", + " and the parameters are [-2.26311367 3.1475646 ] -4.0100243977839884 ;\n", + "Epoch 270/1000, Cost: 2.9993\n", + " and the parameters are [-2.26313204 3.1475548 ] -4.010078439336636 ;\n", + "Epoch 270/1000, Cost: 6.0943\n", + " and the parameters are [-2.26316074 3.14752282] -4.010101094783614 ;\n", + "Epoch 270/1000, Cost: 2.7001\n", + " and the parameters are [-2.26321227 3.1474997 ] -4.010135681634536 ;\n", + "Epoch 270/1000, Cost: 3.1957\n", + " and the parameters are [-2.26329888 3.14749735] -4.010146183896346 ;\n", + "Epoch 270/1000, Cost: 5.4086\n", + " and the parameters are [-2.26330131 3.14748097] -4.010188147593352 ;\n", + "Epoch 270/1000, Cost: 3.9344\n", + " and the parameters are [-2.26329774 3.14746263] -4.010241658411933 ;\n", + "Epoch 270/1000, Cost: 6.1192\n", + " and the parameters are [-2.2632347 3.14761068] -4.010194423497653 ;\n", + "Epoch 270/1000, Cost: 3.2970\n", + " and the parameters are [-2.26329461 3.14757781] -4.010244594340852 ;\n", + "Epoch 270/1000, Cost: 6.3804\n", + " and the parameters are [-2.26326773 3.14743451] -4.010397344823271 ;\n", + "Epoch 270/1000, Cost: 2.2920\n", + " and the parameters are [-2.26330042 3.14746085] -4.010415803852361 ;\n", + "Epoch 270/1000, Cost: 4.5600\n", + " and the parameters are [-2.26330858 3.14757058] -4.010353445211584 ;\n", + "Epoch 270/1000, Cost: 4.5905\n", + " and the parameters are [-2.26344502 3.14760604] -4.010283552169767 ;\n", + "Epoch 270/1000, Cost: 5.9786\n", + " and the parameters are [-2.26344637 3.14760867] -4.010301826377983 ;\n", + "Epoch 270/1000, Cost: 4.1260\n", + " and the parameters are [-2.26338413 3.14758794] -4.010400382205808 ;\n", + "Epoch 270/1000, Cost: 2.6360\n", + " and the parameters are [-2.26341611 3.14758625] -4.010439440787659 ;\n", + "Epoch 270/1000, Cost: 2.2368\n", + " and the parameters are [-2.26345969 3.14752126] -4.010503224397671 ;\n", + "Epoch 270/1000, Cost: 5.3663\n", + " and the parameters are [-2.26342332 3.14764379] -4.010469917136833 ;\n", + "Epoch 270/1000, Cost: 3.9426\n", + " and the parameters are [-2.26352566 3.14760866] -4.010497656550932 ;\n", + "Epoch 270/1000, Cost: 3.2627\n", + " and the parameters are [-2.26356035 3.14757464] -4.010567509148262 ;\n", + "Epoch 270/1000, Cost: 5.0391\n", + " and the parameters are [-2.26351605 3.14766548] -4.010575479811193 ;\n", + "Epoch 270/1000, Cost: 2.5038\n", + " and the parameters are [-2.26358464 3.14767096] -4.010587039331721 ;\n", + "Epoch 270/1000, Cost: 3.6945\n", + " and the parameters are [-2.26357402 3.1477476 ] -4.010583066228837 ;\n", + "Epoch 270/1000, Cost: 5.0642\n", + " and the parameters are [-2.26364968 3.14774436] -4.01059452301451 ;\n", + "Epoch 270/1000, Cost: 4.5387\n", + " and the parameters are [-2.26371832 3.14774398] -4.010606417162273 ;\n", + "Epoch 270/1000, Cost: 3.1414\n", + " and the parameters are [-2.26370039 3.14781817] -4.010615279715338 ;\n", + "Epoch 270/1000, Cost: 2.0002\n", + " and the parameters are [-2.26369426 3.14787454] -4.010613890143401 ;\n", + "Epoch 270/1000, Cost: 1.5685\n", + " and the parameters are [-2.26371049 3.14785895] -4.010663387532573 ;\n", + "Epoch 270/1000, Cost: 2.9021\n", + " and the parameters are [-2.26371643 3.14784249] -4.010712223963612 ;\n", + "Epoch 270/1000, Cost: 4.1063\n", + " and the parameters are [-2.26380711 3.14773037] -4.010807548698436 ;\n", + "Epoch 270/1000, Cost: 5.4245\n", + " and the parameters are [-2.26377271 3.14778221] -4.010848247535381 ;\n", + "Epoch 270/1000, Cost: 5.7848\n", + " and the parameters are [-2.26386654 3.14784619] -4.0108062979945105 ;\n", + "Epoch 270/1000, Cost: 5.3040\n", + " and the parameters are [-2.26386636 3.14783209] -4.010856634496933 ;\n", + "Epoch 270/1000, Cost: 4.6397\n", + " and the parameters are [-2.26389896 3.14778315] -4.010905387320475 ;\n", + "Epoch 270/1000, Cost: 1.9359\n", + " and the parameters are [-2.26387416 3.14789005] -4.010891612727663 ;\n", + "Epoch 270/1000, Cost: 2.3801\n", + " and the parameters are [-2.26391691 3.14786419] -4.010934290720139 ;\n", + "Epoch 270/1000, Cost: 2.8340\n", + " and the parameters are [-2.26391453 3.14793984] -4.010927945696181 ;\n", + "Epoch 270/1000, Cost: 4.3699\n", + " and the parameters are [-2.26393659 3.14795308] -4.010963606317333 ;\n", + "Epoch 270/1000, Cost: 6.3036\n", + " and the parameters are [-2.26399162 3.14783171] -4.0110686931527715 ;\n", + "Epoch 270/1000, Cost: 8.8220\n", + " and the parameters are [-2.26394177 3.14781529] -4.011124974870277 ;\n", + "Epoch 270/1000, Cost: 2.6102\n", + " and the parameters are [-2.2639386 3.14793159] -4.011095037261024 ;\n", + "Epoch 270/1000, Cost: 3.3551\n", + " and the parameters are [-2.26396022 3.14792957] -4.01112546849601 ;\n", + "Epoch 270/1000, Cost: 2.6254\n", + " and the parameters are [-2.26386521 3.14804447] -4.011133860134257 ;\n", + "Epoch 270/1000, Cost: 5.4774\n", + " and the parameters are [-2.26392252 3.14797489] -4.011202489996313 ;\n", + "Epoch 270/1000, Cost: 3.6296\n", + " and the parameters are [-2.26398579 3.14796196] -4.011231567078499 ;\n", + "Epoch 270/1000, Cost: 4.6489\n", + " and the parameters are [-2.2640324 3.14788792] -4.011306267305048 ;\n", + "Epoch 270/1000, Cost: 2.8904\n", + " and the parameters are [-2.26401826 3.14791065] -4.011357967655299 ;\n", + "Epoch 270/1000, Cost: 4.4559\n", + " and the parameters are [-2.26404717 3.14801098] -4.011308324413914 ;\n", + "Epoch 270/1000, Cost: 2.8940\n", + " and the parameters are [-2.26409178 3.14805482] -4.01129829861193 ;\n", + "Epoch 270/1000, Cost: 6.2049\n", + " and the parameters are [-2.26419498 3.14802403] -4.011295276649026 ;\n", + "Epoch 270/1000, Cost: 4.0015\n", + " and the parameters are [-2.26423651 3.14804666] -4.0113078981364705 ;\n", + "Epoch 270/1000, Cost: 1.9451\n", + " and the parameters are [-2.26423416 3.14815063] -4.0112748433953245 ;\n", + "Epoch 270/1000, Cost: 5.1979\n", + " and the parameters are [-2.2642942 3.1481707] -4.011281160645927 ;\n", + "Epoch 270/1000, Cost: 5.1062\n", + " and the parameters are [-2.26426494 3.14824728] -4.011259952290256 ;\n", + "Epoch 270/1000, Cost: 2.7404\n", + " and the parameters are [-2.26431265 3.14824038] -4.01128879340733 ;\n", + "Epoch 270/1000, Cost: 2.4275\n", + " and the parameters are [-2.26433498 3.14821272] -4.011356446373562 ;\n", + "Epoch 270/1000, Cost: 2.9090\n", + " and the parameters are [-2.26437853 3.14824486] -4.01135312112845 ;\n", + "Epoch 270/1000, Cost: 4.3078\n", + " and the parameters are [-2.26436438 3.14835616] -4.011328369849378 ;\n", + "Epoch 270/1000, Cost: 2.3902\n", + " and the parameters are [-2.2643626 3.14844698] -4.011310708853303 ;\n", + "Epoch 270/1000, Cost: 3.1236\n", + " and the parameters are [-2.26436122 3.14842252] -4.011373942560314 ;\n", + "Epoch 280/1000, Cost: 2.8084\n", + " and the parameters are [-2.28911236 3.17859729] -4.05546453162691 ;\n", + "Epoch 280/1000, Cost: 3.7334\n", + " and the parameters are [-2.28910549 3.17850659] -4.055577138602547 ;\n", + "Epoch 280/1000, Cost: 4.0805\n", + " and the parameters are [-2.28915019 3.17852834] -4.055587542380535 ;\n", + "Epoch 280/1000, Cost: 1.9469\n", + " and the parameters are [-2.2892005 3.17853551] -4.055609035198998 ;\n", + "Epoch 280/1000, Cost: 6.7774\n", + " and the parameters are [-2.28929252 3.17844526] -4.0556458930247965 ;\n", + "Epoch 280/1000, Cost: 2.7860\n", + " and the parameters are [-2.28934698 3.17846934] -4.055648969011337 ;\n", + "Epoch 280/1000, Cost: 3.7834\n", + " and the parameters are [-2.28934841 3.17855632] -4.055630875550704 ;\n", + "Epoch 280/1000, Cost: 3.6470\n", + " and the parameters are [-2.28936176 3.17862648] -4.055624579827785 ;\n", + "Epoch 280/1000, Cost: 3.8666\n", + " and the parameters are [-2.289326 3.17863946] -4.055698907735819 ;\n", + "Epoch 280/1000, Cost: 2.9616\n", + " and the parameters are [-2.28930166 3.1787104 ] -4.055701342468079 ;\n", + "Epoch 280/1000, Cost: 2.6522\n", + " and the parameters are [-2.28925894 3.17878766] -4.055722868950692 ;\n", + "Epoch 280/1000, Cost: 3.1983\n", + " and the parameters are [-2.2893144 3.17881301] -4.0557232366659015 ;\n", + "Epoch 280/1000, Cost: 4.0690\n", + " and the parameters are [-2.28931159 3.178916 ] -4.055694932553539 ;\n", + "Epoch 280/1000, Cost: 2.2398\n", + " and the parameters are [-2.2892598 3.17893309] -4.055760913002649 ;\n", + "Epoch 280/1000, Cost: 1.8933\n", + " and the parameters are [-2.28927919 3.1789401 ] -4.055788849945197 ;\n", + "Epoch 280/1000, Cost: 3.7103\n", + " and the parameters are [-2.28932077 3.17901347] -4.055771255803704 ;\n", + "Epoch 280/1000, Cost: 2.1073\n", + " and the parameters are [-2.2893437 3.1791205] -4.055724242904713 ;\n", + "Epoch 280/1000, Cost: 3.6181\n", + " and the parameters are [-2.28941525 3.17902063] -4.055798407131863 ;\n", + "Epoch 280/1000, Cost: 8.0874\n", + " and the parameters are [-2.28942708 3.17897732] -4.05579813252261 ;\n", + "Epoch 280/1000, Cost: 4.2863\n", + " and the parameters are [-2.28935322 3.17903118] -4.055847201339916 ;\n", + "Epoch 280/1000, Cost: 2.5158\n", + " and the parameters are [-2.28930491 3.1791099 ] -4.0558706547700245 ;\n", + "Epoch 280/1000, Cost: 3.5799\n", + " and the parameters are [-2.28928568 3.17914439] -4.0558957451706705 ;\n", + "Epoch 280/1000, Cost: 5.1517\n", + " and the parameters are [-2.28934822 3.17921783] -4.055840014733174 ;\n", + "Epoch 280/1000, Cost: 7.4790\n", + " and the parameters are [-2.28931927 3.1792331 ] -4.055871103259401 ;\n", + "Epoch 280/1000, Cost: 3.7117\n", + " and the parameters are [-2.28931264 3.17918065] -4.0559655221811814 ;\n", + "Epoch 280/1000, Cost: 2.9029\n", + " and the parameters are [-2.2893559 3.17919629] -4.055976598870356 ;\n", + "Epoch 280/1000, Cost: 3.0510\n", + " and the parameters are [-2.28937081 3.17926078] -4.05597479541135 ;\n", + "Epoch 280/1000, Cost: 4.4971\n", + " and the parameters are [-2.2894061 3.17927429] -4.056000958540557 ;\n", + "Epoch 280/1000, Cost: 3.2598\n", + " and the parameters are [-2.28943586 3.17927917] -4.056027148952002 ;\n", + "Epoch 280/1000, Cost: 7.1794\n", + " and the parameters are [-2.28945102 3.17917075] -4.05613149210508 ;\n", + "Epoch 280/1000, Cost: 1.9118\n", + " and the parameters are [-2.28943611 3.17921854] -4.0561498649035945 ;\n", + "Epoch 280/1000, Cost: 3.1499\n", + " and the parameters are [-2.2894815 3.17923228] -4.0561623871354575 ;\n", + "Epoch 280/1000, Cost: 6.2843\n", + " and the parameters are [-2.28948418 3.17926881] -4.056175471790126 ;\n", + "Epoch 280/1000, Cost: 2.9186\n", + " and the parameters are [-2.28955092 3.17928456] -4.056182197353832 ;\n", + "Epoch 280/1000, Cost: 4.4985\n", + " and the parameters are [-2.28948831 3.17932116] -4.056217857851585 ;\n", + "Epoch 280/1000, Cost: 4.6623\n", + " and the parameters are [-2.28943722 3.1793027 ] -4.056309812975717 ;\n", + "Epoch 280/1000, Cost: 2.7117\n", + " and the parameters are [-2.28941134 3.17933513] -4.056349349109238 ;\n", + "Epoch 280/1000, Cost: 2.9855\n", + " and the parameters are [-2.28941704 3.17941728] -4.056333323957535 ;\n", + "Epoch 280/1000, Cost: 5.6462\n", + " and the parameters are [-2.28936281 3.1795747 ] -4.056280646564797 ;\n", + "Epoch 280/1000, Cost: 2.6258\n", + " and the parameters are [-2.28942581 3.17958259] -4.056288899483313 ;\n", + "Epoch 280/1000, Cost: 5.8437\n", + " and the parameters are [-2.28931517 3.17964563] -4.056332925001725 ;\n", + "Epoch 280/1000, Cost: 1.8109\n", + " and the parameters are [-2.28931195 3.17969544] -4.05634277634698 ;\n", + "Epoch 280/1000, Cost: 4.9096\n", + " and the parameters are [-2.28936553 3.17965242] -4.056367185516141 ;\n", + "Epoch 280/1000, Cost: 3.3994\n", + " and the parameters are [-2.28932542 3.17965178] -4.056439472231351 ;\n", + "Epoch 280/1000, Cost: 2.0832\n", + " and the parameters are [-2.28935646 3.179657 ] -4.056459878451403 ;\n", + "Epoch 280/1000, Cost: 5.0988\n", + " and the parameters are [-2.28941851 3.17960534] -4.056518177487414 ;\n", + "Epoch 280/1000, Cost: 3.4118\n", + " and the parameters are [-2.28939915 3.17955542] -4.056607535786762 ;\n", + "Epoch 280/1000, Cost: 2.8726\n", + " and the parameters are [-2.2894093 3.17956324] -4.056623332242991 ;\n", + "Epoch 280/1000, Cost: 2.7796\n", + " and the parameters are [-2.28942764 3.17962476] -4.056628554213274 ;\n", + "Epoch 280/1000, Cost: 1.3591\n", + " and the parameters are [-2.28939665 3.1796699 ] -4.056652013927744 ;\n", + "Epoch 280/1000, Cost: 3.9930\n", + " and the parameters are [-2.28945922 3.17973179] -4.0566090281124065 ;\n", + "Epoch 280/1000, Cost: 4.3160\n", + " and the parameters are [-2.28942692 3.1798137 ] -4.056580853077663 ;\n", + "Epoch 280/1000, Cost: 2.7802\n", + " and the parameters are [-2.28942484 3.17982985] -4.0566131008419966 ;\n", + "Epoch 280/1000, Cost: 3.6626\n", + " and the parameters are [-2.28933113 3.17991457] -4.056661059296564 ;\n", + "Epoch 280/1000, Cost: 3.6308\n", + " and the parameters are [-2.28925953 3.1800273 ] -4.056659595275897 ;\n", + "Epoch 280/1000, Cost: 4.9672\n", + " and the parameters are [-2.28930496 3.18005151] -4.056655747268781 ;\n", + "Epoch 280/1000, Cost: 4.3838\n", + " and the parameters are [-2.28930314 3.18008873] -4.0566774012770015 ;\n", + "Epoch 280/1000, Cost: 2.8668\n", + " and the parameters are [-2.28932717 3.18014575] -4.056678257608397 ;\n", + "Epoch 280/1000, Cost: 2.9751\n", + " and the parameters are [-2.28926688 3.18016957] -4.056747818826896 ;\n", + "Epoch 280/1000, Cost: 3.8288\n", + " and the parameters are [-2.28927182 3.18025151] -4.056726715481184 ;\n", + "Epoch 280/1000, Cost: 3.3938\n", + " and the parameters are [-2.28926003 3.18021462] -4.056812810995365 ;\n", + "Epoch 280/1000, Cost: 3.2103\n", + " and the parameters are [-2.28925999 3.18037359] -4.056749148233459 ;\n", + "Epoch 280/1000, Cost: 3.1370\n", + " and the parameters are [-2.28934549 3.18030367] -4.056796906461969 ;\n", + "Epoch 280/1000, Cost: 3.0070\n", + " and the parameters are [-2.2893897 3.18024623] -4.056864550480308 ;\n", + "Epoch 280/1000, Cost: 3.9097\n", + " and the parameters are [-2.28945617 3.18015145] -4.056946659962413 ;\n", + "Epoch 280/1000, Cost: 6.0406\n", + " and the parameters are [-2.28947081 3.1801794 ] -4.0569358804736915 ;\n", + "Epoch 280/1000, Cost: 5.1844\n", + " and the parameters are [-2.28952405 3.1801627 ] -4.056919955151657 ;\n", + "Epoch 280/1000, Cost: 3.8108\n", + " and the parameters are [-2.28957706 3.1801705 ] -4.056929256486231 ;\n", + "Epoch 280/1000, Cost: 4.1612\n", + " and the parameters are [-2.28954562 3.18026717] -4.056888879991539 ;\n", + "Epoch 280/1000, Cost: 2.4591\n", + " and the parameters are [-2.28956468 3.18035238] -4.056867351766868 ;\n", + "Epoch 280/1000, Cost: 2.7492\n", + " and the parameters are [-2.28951785 3.18046669] -4.056857290280953 ;\n", + "Epoch 280/1000, Cost: 4.0674\n", + " and the parameters are [-2.28956551 3.18063168] -4.056746885446598 ;\n", + "Epoch 280/1000, Cost: 6.0843\n", + " and the parameters are [-2.28963794 3.18051628] -4.056841622884824 ;\n", + "Epoch 280/1000, Cost: 3.9781\n", + " and the parameters are [-2.28965352 3.18042231] -4.05695620266828 ;\n", + "Epoch 280/1000, Cost: 3.6067\n", + " and the parameters are [-2.28968034 3.18041277] -4.056986966082742 ;\n", + "Epoch 280/1000, Cost: 3.8042\n", + " and the parameters are [-2.2897701 3.18034028] -4.057033830016151 ;\n", + "Epoch 280/1000, Cost: 3.0006\n", + " and the parameters are [-2.28975399 3.18040267] -4.057046168095185 ;\n", + "Epoch 280/1000, Cost: 5.4318\n", + " and the parameters are [-2.28972096 3.18040492] -4.0570949819401525 ;\n", + "Epoch 280/1000, Cost: 2.7468\n", + " and the parameters are [-2.28976907 3.18041846] -4.057100938036954 ;\n", + "Epoch 280/1000, Cost: 5.2786\n", + " and the parameters are [-2.28978608 3.18036049] -4.057167045619334 ;\n", + "Epoch 280/1000, Cost: 3.5514\n", + " and the parameters are [-2.28977434 3.18049698] -4.057121776522322 ;\n", + "Epoch 280/1000, Cost: 4.0811\n", + " and the parameters are [-2.28979512 3.18051773] -4.057134290324476 ;\n", + "Epoch 280/1000, Cost: 7.3593\n", + " and the parameters are [-2.28999461 3.18044262] -4.057110673506758 ;\n", + "Epoch 280/1000, Cost: 4.9784\n", + " and the parameters are [-2.29001008 3.1804486 ] -4.057141278829618 ;\n", + "Epoch 280/1000, Cost: 2.6208\n", + " and the parameters are [-2.29004864 3.18046661] -4.057156622143303 ;\n", + "Epoch 280/1000, Cost: 3.5736\n", + " and the parameters are [-2.29014088 3.18039325] -4.057218040767523 ;\n", + "Epoch 280/1000, Cost: 4.5376\n", + " and the parameters are [-2.29014098 3.18043697] -4.057249321958805 ;\n", + "Epoch 280/1000, Cost: 2.9765\n", + " and the parameters are [-2.29021038 3.18045107] -4.057250668268515 ;\n", + "Epoch 280/1000, Cost: 6.4013\n", + " and the parameters are [-2.29020923 3.18048084] -4.057253876224396 ;\n", + "Epoch 280/1000, Cost: 4.3164\n", + " and the parameters are [-2.29032642 3.18048727] -4.057225674555886 ;\n", + "Epoch 280/1000, Cost: 5.5197\n", + " and the parameters are [-2.29037952 3.18059485] -4.057136356116067 ;\n", + "Epoch 280/1000, Cost: 4.7782\n", + " and the parameters are [-2.2904787 3.18064 ] -4.057099608551029 ;\n", + "Epoch 280/1000, Cost: 3.5945\n", + " and the parameters are [-2.29043562 3.18072739] -4.057108085370887 ;\n", + "Epoch 280/1000, Cost: 1.9137\n", + " and the parameters are [-2.29044726 3.18070185] -4.057162538724932 ;\n", + "Epoch 280/1000, Cost: 3.5661\n", + " and the parameters are [-2.29043643 3.1806093 ] -4.057286871273327 ;\n", + "Epoch 280/1000, Cost: 2.3433\n", + " and the parameters are [-2.29046765 3.18069324] -4.0572589817956075 ;\n", + "Epoch 280/1000, Cost: 2.8683\n", + " and the parameters are [-2.29047161 3.18068515] -4.057309683073781 ;\n", + "Epoch 280/1000, Cost: 5.7520\n", + " and the parameters are [-2.29046914 3.1806449 ] -4.057389551639882 ;\n", + "Epoch 280/1000, Cost: 3.6878\n", + " and the parameters are [-2.29045241 3.18081212] -4.057320202490954 ;\n", + "Epoch 280/1000, Cost: 4.1108\n", + " and the parameters are [-2.29052704 3.18076737] -4.057368829713229 ;\n", + "Epoch 280/1000, Cost: 2.5281\n", + " and the parameters are [-2.29050771 3.18083865] -4.0573816076034435 ;\n", + "Epoch 280/1000, Cost: 2.8466\n", + " and the parameters are [-2.29053295 3.18091073] -4.0573479866676525 ;\n", + "Epoch 280/1000, Cost: 2.4826\n", + " and the parameters are [-2.29048037 3.18100327] -4.057351781893665 ;\n", + "Epoch 280/1000, Cost: 4.6589\n", + " and the parameters are [-2.29048036 3.18109499] -4.057334300774153 ;\n", + "Epoch 280/1000, Cost: 3.2684\n", + " and the parameters are [-2.29046734 3.1810555 ] -4.057425142970523 ;\n", + "Epoch 280/1000, Cost: 3.4586\n", + " and the parameters are [-2.29057069 3.18105067] -4.057413055042082 ;\n", + "Epoch 280/1000, Cost: 2.5400\n", + " and the parameters are [-2.29058728 3.18101854] -4.057473945214001 ;\n", + "Epoch 280/1000, Cost: 2.1496\n", + " and the parameters are [-2.29061265 3.18103482] -4.057488977957846 ;\n", + "Epoch 280/1000, Cost: 6.8145\n", + " and the parameters are [-2.29058002 3.18091505] -4.057626842928235 ;\n", + "Epoch 280/1000, Cost: 3.0582\n", + " and the parameters are [-2.29058442 3.1810159 ] -4.0576072000108105 ;\n", + "Epoch 280/1000, Cost: 3.0219\n", + " and the parameters are [-2.29059829 3.1810214 ] -4.05764506176913 ;\n", + "Epoch 280/1000, Cost: 2.8845\n", + " and the parameters are [-2.29062174 3.18103515] -4.057677616595058 ;\n", + "Epoch 280/1000, Cost: 3.4672\n", + " and the parameters are [-2.29064468 3.18113955] -4.057641318409261 ;\n", + "Epoch 280/1000, Cost: 5.6300\n", + " and the parameters are [-2.29063951 3.18116163] -4.057641302869572 ;\n", + "Epoch 280/1000, Cost: 3.9203\n", + " and the parameters are [-2.29068929 3.18112446] -4.057679549773063 ;\n", + "Epoch 280/1000, Cost: 2.5637\n", + " and the parameters are [-2.29069011 3.18123417] -4.057656332660189 ;\n", + "Epoch 280/1000, Cost: 2.8853\n", + " and the parameters are [-2.29072336 3.18121246] -4.057699046708961 ;\n", + "Epoch 280/1000, Cost: 3.3935\n", + " and the parameters are [-2.29071707 3.18126405] -4.057727232099021 ;\n", + "Epoch 280/1000, Cost: 3.8553\n", + " and the parameters are [-2.29078781 3.18119549] -4.0578023716497125 ;\n", + "Epoch 280/1000, Cost: 2.8644\n", + " and the parameters are [-2.29075013 3.18120305] -4.057859168534795 ;\n", + "Epoch 280/1000, Cost: 3.2024\n", + " and the parameters are [-2.29082446 3.18120418] -4.057881854177013 ;\n", + "Epoch 280/1000, Cost: 7.6410\n", + " and the parameters are [-2.29093345 3.18110386] -4.057897636142866 ;\n", + "Epoch 280/1000, Cost: 2.2792\n", + " and the parameters are [-2.29095284 3.18116466] -4.0579025709126375 ;\n", + "Epoch 280/1000, Cost: 3.7373\n", + " and the parameters are [-2.29088093 3.18122547] -4.057942938277145 ;\n", + "Epoch 280/1000, Cost: 3.7235\n", + " and the parameters are [-2.29090477 3.18128341] -4.057928540319846 ;\n", + "Epoch 280/1000, Cost: 3.8020\n", + " and the parameters are [-2.29089144 3.18131473] -4.057955813113637 ;\n", + "Epoch 280/1000, Cost: 2.7738\n", + " and the parameters are [-2.29095535 3.18133979] -4.057953187340191 ;\n", + "Epoch 280/1000, Cost: 3.0763\n", + " and the parameters are [-2.29090193 3.1814554 ] -4.057937614684014 ;\n", + "Epoch 280/1000, Cost: 3.0506\n", + " and the parameters are [-2.29096365 3.18154015] -4.057887192262134 ;\n", + "Epoch 280/1000, Cost: 3.9000\n", + " and the parameters are [-2.29095733 3.18152776] -4.057949948789138 ;\n", + "Epoch 280/1000, Cost: 3.4125\n", + " and the parameters are [-2.29104137 3.18157317] -4.057913835806056 ;\n", + "Epoch 280/1000, Cost: 2.4711\n", + " and the parameters are [-2.29109793 3.18162928] -4.057882640095883 ;\n", + "Epoch 280/1000, Cost: 2.3966\n", + " and the parameters are [-2.29109058 3.18168942] -4.057888953773055 ;\n", + "Epoch 280/1000, Cost: 5.3280\n", + " and the parameters are [-2.29106518 3.18166941] -4.0579732299534985 ;\n", + "Epoch 280/1000, Cost: 6.1175\n", + " and the parameters are [-2.29098165 3.18173156] -4.057986957023336 ;\n", + "Epoch 280/1000, Cost: 4.6235\n", + " and the parameters are [-2.29096008 3.18185756] -4.057939439239562 ;\n", + "Epoch 280/1000, Cost: 3.8369\n", + " and the parameters are [-2.29097848 3.18183362] -4.058015564037577 ;\n", + "Epoch 280/1000, Cost: 2.2649\n", + " and the parameters are [-2.29095563 3.18194731] -4.05799477758105 ;\n", + "Epoch 280/1000, Cost: 3.6721\n", + " and the parameters are [-2.29094792 3.18203865] -4.057992232654926 ;\n", + "Epoch 280/1000, Cost: 3.5950\n", + " and the parameters are [-2.2909167 3.18213575] -4.0579931415392725 ;\n", + "Epoch 280/1000, Cost: 6.7726\n", + " and the parameters are [-2.29095719 3.18208315] -4.0580433795105275 ;\n", + "Epoch 280/1000, Cost: 4.2365\n", + " and the parameters are [-2.29099936 3.18203163] -4.058108463801038 ;\n", + "Epoch 280/1000, Cost: 3.3073\n", + " and the parameters are [-2.29101881 3.18195106] -4.058204424133298 ;\n", + "Epoch 280/1000, Cost: 3.0201\n", + " and the parameters are [-2.2910855 3.18186464] -4.058278300298781 ;\n", + "Epoch 280/1000, Cost: 4.3682\n", + " and the parameters are [-2.29115853 3.18172636] -4.058383247263665 ;\n", + "Epoch 280/1000, Cost: 4.2939\n", + " and the parameters are [-2.29113267 3.18180463] -4.058375076528969 ;\n", + "Epoch 280/1000, Cost: 3.9371\n", + " and the parameters are [-2.29111553 3.18184162] -4.058389796966091 ;\n", + "Epoch 280/1000, Cost: 3.9337\n", + " and the parameters are [-2.29117372 3.18181853] -4.058419566208482 ;\n", + "Epoch 280/1000, Cost: 7.6501\n", + " and the parameters are [-2.29113342 3.1816941 ] -4.05854743787712 ;\n", + "Epoch 280/1000, Cost: 5.4917\n", + " and the parameters are [-2.29132634 3.18155984] -4.058576228044795 ;\n", + "Epoch 280/1000, Cost: 4.1715\n", + " and the parameters are [-2.29124116 3.18170775] -4.058556510213404 ;\n", + "Epoch 280/1000, Cost: 1.7469\n", + " and the parameters are [-2.29123111 3.181751 ] -4.058579310657206 ;\n", + "Epoch 280/1000, Cost: 2.0024\n", + " and the parameters are [-2.29123122 3.18182328] -4.058576603140411 ;\n", + "Epoch 280/1000, Cost: 5.4656\n", + " and the parameters are [-2.2912338 3.18175484] -4.058664356100842 ;\n", + "Epoch 280/1000, Cost: 4.0230\n", + " and the parameters are [-2.29132021 3.18165263] -4.058757366795861 ;\n", + "Epoch 280/1000, Cost: 1.9463\n", + " and the parameters are [-2.29129533 3.18169601] -4.058784843531261 ;\n", + "Epoch 280/1000, Cost: 4.9023\n", + " and the parameters are [-2.2912901 3.18184624] -4.0587160709010135 ;\n", + "Epoch 280/1000, Cost: 3.7453\n", + " and the parameters are [-2.2913319 3.1818423] -4.058728134058371 ;\n", + "Epoch 280/1000, Cost: 4.0888\n", + " and the parameters are [-2.29142782 3.1817941 ] -4.058766405625458 ;\n", + "Epoch 280/1000, Cost: 2.2440\n", + " and the parameters are [-2.29139922 3.18183188] -4.05880567074342 ;\n", + "Epoch 280/1000, Cost: 3.9521\n", + " and the parameters are [-2.29142308 3.18188883] -4.058779665259355 ;\n", + "Epoch 280/1000, Cost: 5.6357\n", + " and the parameters are [-2.29142824 3.1818921 ] -4.058824998375121 ;\n", + "Epoch 280/1000, Cost: 3.4005\n", + " and the parameters are [-2.29147765 3.18195913] -4.058793742315429 ;\n", + "Epoch 280/1000, Cost: 2.7981\n", + " and the parameters are [-2.29147155 3.18194948] -4.058853047900824 ;\n", + "Epoch 280/1000, Cost: 3.8613\n", + " and the parameters are [-2.29146027 3.18203469] -4.058831004703141 ;\n", + "Epoch 280/1000, Cost: 3.6280\n", + " and the parameters are [-2.29142569 3.18200039] -4.058894594514002 ;\n", + "Epoch 280/1000, Cost: 6.7867\n", + " and the parameters are [-2.29137642 3.18201539] -4.058939261525943 ;\n", + "Epoch 280/1000, Cost: 1.8758\n", + " and the parameters are [-2.29138924 3.18208087] -4.058933670300181 ;\n", + "Epoch 280/1000, Cost: 2.4096\n", + " and the parameters are [-2.29145506 3.18206715] -4.058943977224992 ;\n", + "Epoch 280/1000, Cost: 6.5723\n", + " and the parameters are [-2.29151871 3.18187041] -4.059080574930572 ;\n", + "Epoch 280/1000, Cost: 2.9156\n", + " and the parameters are [-2.29150869 3.18199647] -4.059035659232533 ;\n", + "Epoch 280/1000, Cost: 4.8075\n", + " and the parameters are [-2.29163329 3.18187341] -4.059093930719704 ;\n", + "Epoch 280/1000, Cost: 2.8611\n", + " and the parameters are [-2.29167156 3.18181556] -4.059168386734089 ;\n", + "Epoch 280/1000, Cost: 1.5830\n", + " and the parameters are [-2.29171169 3.18181899] -4.059186500169746 ;\n", + "Epoch 280/1000, Cost: 6.9678\n", + " and the parameters are [-2.29175891 3.18186699] -4.059197363501679 ;\n", + "Epoch 280/1000, Cost: 8.5546\n", + " and the parameters are [-2.29173687 3.18188088] -4.059176205584478 ;\n", + "Epoch 280/1000, Cost: 3.2646\n", + " and the parameters are [-2.29176786 3.18181539] -4.059261644803973 ;\n", + "Epoch 280/1000, Cost: 4.0853\n", + " and the parameters are [-2.291813 3.18187294] -4.059233306825497 ;\n", + "Epoch 280/1000, Cost: 7.4649\n", + " and the parameters are [-2.29169893 3.18183191] -4.05933350352315 ;\n", + "Epoch 280/1000, Cost: 3.5894\n", + " and the parameters are [-2.29172202 3.18181077] -4.059378997661566 ;\n", + "Epoch 280/1000, Cost: 5.8064\n", + " and the parameters are [-2.29176551 3.1817809 ] -4.059432886868553 ;\n", + "Epoch 280/1000, Cost: 2.7018\n", + " and the parameters are [-2.29172454 3.18183724] -4.059462702085472 ;\n", + "Epoch 280/1000, Cost: 4.5563\n", + " and the parameters are [-2.29168286 3.18188402] -4.059503777459922 ;\n", + "Epoch 280/1000, Cost: 2.2783\n", + " and the parameters are [-2.2916616 3.18192231] -4.059537640860849 ;\n", + "Epoch 280/1000, Cost: 2.5292\n", + " and the parameters are [-2.29168267 3.18193904] -4.059557984348689 ;\n", + "Epoch 280/1000, Cost: 3.9327\n", + " and the parameters are [-2.29173151 3.18199671] -4.059547564047583 ;\n", + "Epoch 280/1000, Cost: 3.0797\n", + " and the parameters are [-2.29176471 3.18195422] -4.05962034008052 ;\n", + "Epoch 280/1000, Cost: 2.9136\n", + " and the parameters are [-2.29180461 3.18197114] -4.059632030496709 ;\n", + "Epoch 280/1000, Cost: 5.1014\n", + " and the parameters are [-2.29179042 3.18199947] -4.059681849557412 ;\n", + "Epoch 280/1000, Cost: 3.1984\n", + " and the parameters are [-2.29180576 3.18205208] -4.059688163613478 ;\n", + "Epoch 280/1000, Cost: 6.3910\n", + " and the parameters are [-2.29175444 3.18199524] -4.05978789635081 ;\n", + "Epoch 280/1000, Cost: 3.9372\n", + " and the parameters are [-2.29174499 3.18201137] -4.059829447609133 ;\n", + "Epoch 280/1000, Cost: 2.4700\n", + " and the parameters are [-2.29181232 3.18198241] -4.0598655730334885 ;\n", + "Epoch 280/1000, Cost: 3.0444\n", + " and the parameters are [-2.2918457 3.18193884] -4.059915405224677 ;\n", + "Epoch 280/1000, Cost: 2.7631\n", + " and the parameters are [-2.29186291 3.18197926] -4.059925823847129 ;\n", + "Epoch 280/1000, Cost: 1.7745\n", + " and the parameters are [-2.29190373 3.18198588] -4.059943538071046 ;\n", + "Epoch 280/1000, Cost: 3.7761\n", + " and the parameters are [-2.29187675 3.18199813] -4.059998544964874 ;\n", + "Epoch 280/1000, Cost: 3.7274\n", + " and the parameters are [-2.29184626 3.18202268] -4.060047883182683 ;\n", + "Epoch 280/1000, Cost: 3.5980\n", + " and the parameters are [-2.29183596 3.18195486] -4.060152858723591 ;\n", + "Epoch 280/1000, Cost: 8.6478\n", + " and the parameters are [-2.29185283 3.18179897] -4.060268368645145 ;\n", + "Epoch 290/1000, Cost: 3.2488\n", + " and the parameters are [-2.31590131 3.2111046 ] -4.102851851859788 ;\n", + "Epoch 290/1000, Cost: 1.8793\n", + " and the parameters are [-2.315933 3.21112632] -4.102867630771706 ;\n", + "Epoch 290/1000, Cost: 2.7603\n", + " and the parameters are [-2.31586906 3.21122757] -4.102866654962023 ;\n", + "Epoch 290/1000, Cost: 3.4590\n", + " and the parameters are [-2.31594327 3.21116105] -4.102923512918905 ;\n", + "Epoch 290/1000, Cost: 5.2446\n", + " and the parameters are [-2.31598035 3.21102972] -4.103061849440966 ;\n", + "Epoch 290/1000, Cost: 3.5330\n", + " and the parameters are [-2.316045 3.21108278] -4.1030445078766515 ;\n", + "Epoch 290/1000, Cost: 5.6469\n", + " and the parameters are [-2.31605873 3.210996 ] -4.103136944932585 ;\n", + "Epoch 290/1000, Cost: 3.1201\n", + " and the parameters are [-2.31603704 3.21099148] -4.103198635926414 ;\n", + "Epoch 290/1000, Cost: 3.4793\n", + " and the parameters are [-2.31611005 3.21097731] -4.1032352800183265 ;\n", + "Epoch 290/1000, Cost: 2.5403\n", + " and the parameters are [-2.31608549 3.21110094] -4.103199600792818 ;\n", + "Epoch 290/1000, Cost: 4.9449\n", + " and the parameters are [-2.31608759 3.21102888] -4.103278721907629 ;\n", + "Epoch 290/1000, Cost: 1.8157\n", + " and the parameters are [-2.31610132 3.21109918] -4.103261660712098 ;\n", + "Epoch 290/1000, Cost: 3.6931\n", + " and the parameters are [-2.31615392 3.21128446] -4.103132772967878 ;\n", + "Epoch 290/1000, Cost: 6.7776\n", + " and the parameters are [-2.31612776 3.21135381] -4.10310889777221 ;\n", + "Epoch 290/1000, Cost: 2.2813\n", + " and the parameters are [-2.31615228 3.21139085] -4.103114147464828 ;\n", + "Epoch 290/1000, Cost: 1.7700\n", + " and the parameters are [-2.31612696 3.21146619] -4.103123986142386 ;\n", + "Epoch 290/1000, Cost: 3.5098\n", + " and the parameters are [-2.31614785 3.21144061] -4.103173931421639 ;\n", + "Epoch 290/1000, Cost: 1.7420\n", + " and the parameters are [-2.3161842 3.21145503] -4.103185485554891 ;\n", + "Epoch 290/1000, Cost: 3.4192\n", + " and the parameters are [-2.31623129 3.2113841 ] -4.103259608713279 ;\n", + "Epoch 290/1000, Cost: 4.9242\n", + " and the parameters are [-2.31629227 3.21138877] -4.103271822260143 ;\n", + "Epoch 290/1000, Cost: 5.4515\n", + " and the parameters are [-2.31639574 3.21136589] -4.103277386265636 ;\n", + "Epoch 290/1000, Cost: 2.1436\n", + " and the parameters are [-2.31639158 3.21144137] -4.103267913291377 ;\n", + "Epoch 290/1000, Cost: 5.1702\n", + " and the parameters are [-2.31641383 3.21147824] -4.10324867409212 ;\n", + "Epoch 290/1000, Cost: 3.0230\n", + " and the parameters are [-2.31636184 3.21160619] -4.103218115515878 ;\n", + "Epoch 290/1000, Cost: 4.6398\n", + " and the parameters are [-2.31633415 3.21167348] -4.1031799115914005 ;\n", + "Epoch 290/1000, Cost: 4.3429\n", + " and the parameters are [-2.31629235 3.21180637] -4.103142744539913 ;\n", + "Epoch 290/1000, Cost: 4.8325\n", + " and the parameters are [-2.31629424 3.21187869] -4.103105254386483 ;\n", + "Epoch 290/1000, Cost: 2.3421\n", + " and the parameters are [-2.3163231 3.21192302] -4.103104912935763 ;\n", + "Epoch 290/1000, Cost: 3.7191\n", + " and the parameters are [-2.31638403 3.211868 ] -4.103148329280232 ;\n", + "Epoch 290/1000, Cost: 8.2004\n", + " and the parameters are [-2.31644118 3.21172302] -4.103243941966874 ;\n", + "Epoch 290/1000, Cost: 2.3719\n", + " and the parameters are [-2.31641559 3.21182808] -4.103212257116915 ;\n", + "Epoch 290/1000, Cost: 2.5761\n", + " and the parameters are [-2.31644574 3.21186375] -4.103220452595673 ;\n", + "Epoch 290/1000, Cost: 3.9449\n", + " and the parameters are [-2.31639587 3.21186941] -4.103309724603439 ;\n", + "Epoch 290/1000, Cost: 3.0670\n", + " and the parameters are [-2.31642846 3.21189532] -4.103326927588059 ;\n", + "Epoch 290/1000, Cost: 3.9580\n", + " and the parameters are [-2.31640453 3.21189975] -4.103388921330915 ;\n", + "Epoch 290/1000, Cost: 3.0957\n", + " and the parameters are [-2.31642685 3.21195048] -4.103396786483972 ;\n", + "Epoch 290/1000, Cost: 3.3895\n", + " and the parameters are [-2.31636766 3.21198173] -4.103443637140108 ;\n", + "Epoch 290/1000, Cost: 3.4440\n", + " and the parameters are [-2.31635642 3.21195705] -4.103500924604104 ;\n", + "Epoch 290/1000, Cost: 4.2615\n", + " and the parameters are [-2.31642548 3.21193488] -4.103531231865983 ;\n", + "Epoch 290/1000, Cost: 2.0300\n", + " and the parameters are [-2.31644573 3.21188786] -4.103591077489475 ;\n", + "Epoch 290/1000, Cost: 3.8608\n", + " and the parameters are [-2.3164141 3.21198741] -4.103576025086702 ;\n", + "Epoch 290/1000, Cost: 5.5676\n", + " and the parameters are [-2.31635663 3.21197777] -4.103638088095016 ;\n", + "Epoch 290/1000, Cost: 1.4713\n", + " and the parameters are [-2.31632877 3.21202713] -4.103653479767255 ;\n", + "Epoch 290/1000, Cost: 2.8510\n", + " and the parameters are [-2.31630191 3.21213902] -4.103634052447284 ;\n", + "Epoch 290/1000, Cost: 4.2509\n", + " and the parameters are [-2.31632857 3.21209178] -4.103692031032894 ;\n", + "Epoch 290/1000, Cost: 1.9170\n", + " and the parameters are [-2.31635298 3.21218017] -4.103655804626544 ;\n", + "Epoch 290/1000, Cost: 4.2178\n", + " and the parameters are [-2.31639212 3.21217223] -4.1036709848555555 ;\n", + "Epoch 290/1000, Cost: 2.5294\n", + " and the parameters are [-2.31636398 3.2121846 ] -4.1037324512705275 ;\n", + "Epoch 290/1000, Cost: 3.7441\n", + " and the parameters are [-2.31648086 3.21203064] -4.103826757460191 ;\n", + "Epoch 290/1000, Cost: 2.8887\n", + " and the parameters are [-2.31650791 3.21203981] -4.10384335002534 ;\n", + "Epoch 290/1000, Cost: 4.5285\n", + " and the parameters are [-2.31642139 3.21207726] -4.103900575552251 ;\n", + "Epoch 290/1000, Cost: 5.5063\n", + " and the parameters are [-2.31635605 3.2121689 ] -4.1039055525220896 ;\n", + "Epoch 290/1000, Cost: 2.8773\n", + " and the parameters are [-2.31636891 3.21216982] -4.103946646260671 ;\n", + "Epoch 290/1000, Cost: 2.8402\n", + " and the parameters are [-2.31643742 3.2121794 ] -4.103949284105642 ;\n", + "Epoch 290/1000, Cost: 3.6605\n", + " and the parameters are [-2.31649976 3.21207932] -4.104033795983924 ;\n", + "Epoch 290/1000, Cost: 7.0849\n", + " and the parameters are [-2.31660007 3.21194949] -4.104111944272194 ;\n", + "Epoch 290/1000, Cost: 3.4572\n", + " and the parameters are [-2.31664422 3.21198269] -4.104115751304468 ;\n", + "Epoch 290/1000, Cost: 4.1667\n", + " and the parameters are [-2.31665013 3.21209688] -4.104082016202605 ;\n", + "Epoch 290/1000, Cost: 3.1353\n", + " and the parameters are [-2.31662232 3.21211755] -4.104123853724828 ;\n", + "Epoch 290/1000, Cost: 4.3695\n", + " and the parameters are [-2.31660288 3.21223337] -4.104081265078387 ;\n", + "Epoch 290/1000, Cost: 3.4577\n", + " and the parameters are [-2.31663428 3.21223643] -4.10410948957488 ;\n", + "Epoch 290/1000, Cost: 3.2297\n", + " and the parameters are [-2.31660792 3.21229712] -4.104123016411282 ;\n", + "Epoch 290/1000, Cost: 4.3766\n", + " and the parameters are [-2.31663226 3.21221009] -4.104212507195681 ;\n", + "Epoch 290/1000, Cost: 2.9481\n", + " and the parameters are [-2.31674127 3.21222874] -4.104186569812821 ;\n", + "Epoch 290/1000, Cost: 2.9497\n", + " and the parameters are [-2.31672735 3.21229576] -4.104192913829193 ;\n", + "Epoch 290/1000, Cost: 4.7966\n", + " and the parameters are [-2.31678687 3.21232514] -4.104187412375274 ;\n", + "Epoch 290/1000, Cost: 3.5542\n", + " and the parameters are [-2.31676458 3.21229923] -4.104265167044471 ;\n", + "Epoch 290/1000, Cost: 3.3911\n", + " and the parameters are [-2.31676981 3.21235014] -4.104262293743402 ;\n", + "Epoch 290/1000, Cost: 3.6061\n", + " and the parameters are [-2.31681919 3.21237366] -4.104257835128436 ;\n", + "Epoch 290/1000, Cost: 5.1399\n", + " and the parameters are [-2.31683397 3.21246616] -4.104207114280601 ;\n", + "Epoch 290/1000, Cost: 3.9774\n", + " and the parameters are [-2.31680312 3.21242072] -4.104300730455791 ;\n", + "Epoch 290/1000, Cost: 4.0127\n", + " and the parameters are [-2.31682853 3.21241665] -4.1043494551426045 ;\n", + "Epoch 290/1000, Cost: 3.4415\n", + " and the parameters are [-2.31681982 3.21254089] -4.104304852111373 ;\n", + "Epoch 290/1000, Cost: 1.7868\n", + " and the parameters are [-2.31681265 3.21256871] -4.1043307588684526 ;\n", + "Epoch 290/1000, Cost: 2.4923\n", + " and the parameters are [-2.31676829 3.21259694] -4.1043847917083145 ;\n", + "Epoch 290/1000, Cost: 4.1356\n", + " and the parameters are [-2.31675211 3.21251905] -4.104521130973414 ;\n", + "Epoch 290/1000, Cost: 2.2822\n", + " and the parameters are [-2.31675796 3.21255129] -4.104528009720286 ;\n", + "Epoch 290/1000, Cost: 5.1423\n", + " and the parameters are [-2.31677711 3.21247641] -4.104598151858745 ;\n", + "Epoch 290/1000, Cost: 4.7089\n", + " and the parameters are [-2.31679638 3.21231651] -4.104726384286553 ;\n", + "Epoch 290/1000, Cost: 6.8650\n", + " and the parameters are [-2.31673396 3.21231902] -4.104794678023892 ;\n", + "Epoch 290/1000, Cost: 3.6554\n", + " and the parameters are [-2.3167795 3.21240348] -4.104740388280747 ;\n", + "Epoch 290/1000, Cost: 3.3671\n", + " and the parameters are [-2.3167727 3.21241956] -4.104786340778331 ;\n", + "Epoch 290/1000, Cost: 2.1042\n", + " and the parameters are [-2.31679918 3.21243992] -4.104809958926509 ;\n", + "Epoch 290/1000, Cost: 1.9229\n", + " and the parameters are [-2.31684359 3.2124476 ] -4.104826348638555 ;\n", + "Epoch 290/1000, Cost: 5.7143\n", + " and the parameters are [-2.31695099 3.21241013] -4.104844555681927 ;\n", + "Epoch 290/1000, Cost: 5.1128\n", + " and the parameters are [-2.31691766 3.21245475] -4.104861368417676 ;\n", + "Epoch 290/1000, Cost: 4.1462\n", + " and the parameters are [-2.31696254 3.21251845] -4.104843057395311 ;\n", + "Epoch 290/1000, Cost: 2.5007\n", + " and the parameters are [-2.31699052 3.21254984] -4.104853977655579 ;\n", + "Epoch 290/1000, Cost: 3.6580\n", + " and the parameters are [-2.31701762 3.21252974] -4.104883939480842 ;\n", + "Epoch 290/1000, Cost: 2.5818\n", + " and the parameters are [-2.31704506 3.21252838] -4.104923790498093 ;\n", + "Epoch 290/1000, Cost: 2.3582\n", + " and the parameters are [-2.31702593 3.21260377] -4.104918150090456 ;\n", + "Epoch 290/1000, Cost: 5.6368\n", + " and the parameters are [-2.31700584 3.21262888] -4.104933149066009 ;\n", + "Epoch 290/1000, Cost: 2.9033\n", + " and the parameters are [-2.31702844 3.2127026 ] -4.104912382044739 ;\n", + "Epoch 290/1000, Cost: 4.0992\n", + " and the parameters are [-2.31698742 3.2127404 ] -4.104959401467261 ;\n", + "Epoch 290/1000, Cost: 3.1913\n", + " and the parameters are [-2.31699622 3.21289161] -4.104889954667442 ;\n", + "Epoch 290/1000, Cost: 3.2336\n", + " and the parameters are [-2.31702513 3.21283996] -4.1049459667193045 ;\n", + "Epoch 290/1000, Cost: 3.8106\n", + " and the parameters are [-2.31701785 3.21286387] -4.10497552224712 ;\n", + "Epoch 290/1000, Cost: 7.2500\n", + " and the parameters are [-2.31707732 3.21291348] -4.104882934504145 ;\n", + "Epoch 290/1000, Cost: 3.0039\n", + " and the parameters are [-2.31710243 3.2128277 ] -4.104972701611685 ;\n", + "Epoch 290/1000, Cost: 4.8825\n", + " and the parameters are [-2.31707096 3.21291805] -4.104958021246167 ;\n", + "Epoch 290/1000, Cost: 1.9667\n", + " and the parameters are [-2.31704189 3.21299579] -4.104957302004736 ;\n", + "Epoch 290/1000, Cost: 2.5720\n", + " and the parameters are [-2.31699708 3.21310036] -4.104958588600433 ;\n", + "Epoch 290/1000, Cost: 4.7866\n", + " and the parameters are [-2.31699494 3.21311122] -4.104990767355127 ;\n", + "Epoch 290/1000, Cost: 2.9257\n", + " and the parameters are [-2.31700801 3.21306167] -4.1050729599994895 ;\n", + "Epoch 290/1000, Cost: 5.9750\n", + " and the parameters are [-2.3169228 3.21317125] -4.105072244328493 ;\n", + "Epoch 290/1000, Cost: 2.2959\n", + " and the parameters are [-2.31695026 3.21318303] -4.105089805960264 ;\n", + "Epoch 290/1000, Cost: 3.5461\n", + " and the parameters are [-2.31695211 3.21317145] -4.105157318867544 ;\n", + "Epoch 290/1000, Cost: 2.3018\n", + " and the parameters are [-2.31699622 3.21323357] -4.10514187398195 ;\n", + "Epoch 290/1000, Cost: 3.0103\n", + " and the parameters are [-2.31696798 3.21338015] -4.105090847144987 ;\n", + "Epoch 290/1000, Cost: 3.7590\n", + " and the parameters are [-2.31694979 3.21353829] -4.105018174238944 ;\n", + "Epoch 290/1000, Cost: 7.2020\n", + " and the parameters are [-2.31693036 3.21344832] -4.105129470201094 ;\n", + "Epoch 290/1000, Cost: 3.1920\n", + " and the parameters are [-2.31698781 3.21340964] -4.1051686732354495 ;\n", + "Epoch 290/1000, Cost: 3.5612\n", + " and the parameters are [-2.31698306 3.21344069] -4.105204007269245 ;\n", + "Epoch 290/1000, Cost: 5.7857\n", + " and the parameters are [-2.31706386 3.21338032] -4.105237470624368 ;\n", + "Epoch 290/1000, Cost: 5.3045\n", + " and the parameters are [-2.31704806 3.21339448] -4.1052770999579575 ;\n", + "Epoch 290/1000, Cost: 4.3299\n", + " and the parameters are [-2.31709009 3.21337993] -4.10532639239066 ;\n", + "Epoch 290/1000, Cost: 5.1962\n", + " and the parameters are [-2.31709379 3.21331703] -4.105427959042422 ;\n", + "Epoch 290/1000, Cost: 3.0882\n", + " and the parameters are [-2.31717475 3.21329333] -4.105452439177388 ;\n", + "Epoch 290/1000, Cost: 4.1814\n", + " and the parameters are [-2.31726288 3.21328112] -4.105470434075481 ;\n", + "Epoch 290/1000, Cost: 4.8181\n", + " and the parameters are [-2.31722954 3.21328104] -4.105505688992131 ;\n", + "Epoch 290/1000, Cost: 4.4216\n", + " and the parameters are [-2.31729444 3.21314876] -4.1056185282156905 ;\n", + "Epoch 290/1000, Cost: 4.9375\n", + " and the parameters are [-2.31722806 3.21327065] -4.105588469593905 ;\n", + "Epoch 290/1000, Cost: 4.0332\n", + " and the parameters are [-2.31729675 3.2131598 ] -4.105682977991825 ;\n", + "Epoch 290/1000, Cost: 4.3937\n", + " and the parameters are [-2.31731166 3.21311264] -4.105752706176062 ;\n", + "Epoch 290/1000, Cost: 1.5552\n", + " and the parameters are [-2.3173022 3.21318091] -4.10575037441465 ;\n", + "Epoch 290/1000, Cost: 4.7876\n", + " and the parameters are [-2.31739701 3.21311884] -4.105773822392357 ;\n", + "Epoch 290/1000, Cost: 5.5565\n", + " and the parameters are [-2.31749253 3.21311669] -4.105757649766126 ;\n", + "Epoch 290/1000, Cost: 3.8776\n", + " and the parameters are [-2.31751167 3.21318341] -4.105746120224681 ;\n", + "Epoch 290/1000, Cost: 3.8741\n", + " and the parameters are [-2.31746236 3.21324853] -4.105744431457119 ;\n", + "Epoch 290/1000, Cost: 3.2777\n", + " and the parameters are [-2.3174898 3.21330049] -4.105741596059124 ;\n", + "Epoch 290/1000, Cost: 3.5486\n", + " and the parameters are [-2.31745871 3.21330978] -4.105813583534498 ;\n", + "Epoch 290/1000, Cost: 5.9358\n", + " and the parameters are [-2.31750933 3.21329504] -4.105806112336524 ;\n", + "Epoch 290/1000, Cost: 8.0736\n", + " and the parameters are [-2.3174396 3.21334489] -4.105819799891402 ;\n", + "Epoch 290/1000, Cost: 3.0515\n", + " and the parameters are [-2.31743863 3.21329199] -4.105907705931652 ;\n", + "Epoch 290/1000, Cost: 2.7502\n", + " and the parameters are [-2.31744209 3.21332428] -4.105939774195136 ;\n", + "Epoch 290/1000, Cost: 1.3999\n", + " and the parameters are [-2.31742482 3.21340997] -4.1059269333155015 ;\n", + "Epoch 290/1000, Cost: 5.5572\n", + " and the parameters are [-2.31751871 3.21337924] -4.105930295826048 ;\n", + "Epoch 290/1000, Cost: 5.7070\n", + " and the parameters are [-2.31760717 3.21339529] -4.105906690136267 ;\n", + "Epoch 290/1000, Cost: 5.8104\n", + " and the parameters are [-2.31763097 3.21328466] -4.1060037199923896 ;\n", + "Epoch 290/1000, Cost: 2.7341\n", + " and the parameters are [-2.31763592 3.21343877] -4.105931801630205 ;\n", + "Epoch 290/1000, Cost: 2.5578\n", + " and the parameters are [-2.31763385 3.21342983] -4.106000459459915 ;\n", + "Epoch 290/1000, Cost: 5.2976\n", + " and the parameters are [-2.31772074 3.21338251] -4.10601440146624 ;\n", + "Epoch 290/1000, Cost: 2.6389\n", + " and the parameters are [-2.31777816 3.21330213] -4.106082243419663 ;\n", + "Epoch 290/1000, Cost: 3.8927\n", + " and the parameters are [-2.31778392 3.2132022 ] -4.106198106525742 ;\n", + "Epoch 290/1000, Cost: 2.5712\n", + " and the parameters are [-2.31774737 3.21322252] -4.106253244053738 ;\n", + "Epoch 290/1000, Cost: 3.6798\n", + " and the parameters are [-2.31778096 3.2132599 ] -4.106248413730219 ;\n", + "Epoch 290/1000, Cost: 4.1713\n", + " and the parameters are [-2.31778199 3.21327086] -4.10630479884013 ;\n", + "Epoch 290/1000, Cost: 3.5253\n", + " and the parameters are [-2.31780376 3.21318473] -4.106412022485751 ;\n", + "Epoch 290/1000, Cost: 2.5301\n", + " and the parameters are [-2.3178498 3.21319478] -4.106424434313751 ;\n", + "Epoch 290/1000, Cost: 1.8784\n", + " and the parameters are [-2.31786666 3.21319824] -4.106454273470036 ;\n", + "Epoch 290/1000, Cost: 7.3167\n", + " and the parameters are [-2.31788284 3.21314935] -4.1065139770703905 ;\n", + "Epoch 290/1000, Cost: 4.6165\n", + " and the parameters are [-2.31775673 3.2133483 ] -4.106480771957267 ;\n", + "Epoch 290/1000, Cost: 4.8009\n", + " and the parameters are [-2.31778417 3.213533 ] -4.1063565061550165 ;\n", + "Epoch 290/1000, Cost: 2.9527\n", + " and the parameters are [-2.31778631 3.21353757] -4.106409455343832 ;\n", + "Epoch 290/1000, Cost: 6.6731\n", + " and the parameters are [-2.31793495 3.21346148] -4.106399929563203 ;\n", + "Epoch 290/1000, Cost: 3.2333\n", + " and the parameters are [-2.31787088 3.21342573] -4.106493028661259 ;\n", + "Epoch 290/1000, Cost: 1.8791\n", + " and the parameters are [-2.3179061 3.21346005] -4.1064842282019365 ;\n", + "Epoch 290/1000, Cost: 1.9151\n", + " and the parameters are [-2.31785615 3.21358562] -4.106466552519072 ;\n", + "Epoch 290/1000, Cost: 3.3433\n", + " and the parameters are [-2.31782141 3.21370604] -4.106447918682935 ;\n", + "Epoch 290/1000, Cost: 2.5016\n", + " and the parameters are [-2.31783176 3.21373271] -4.106479516786387 ;\n", + "Epoch 290/1000, Cost: 1.7196\n", + " and the parameters are [-2.31786181 3.21379981] -4.106458297162256 ;\n", + "Epoch 290/1000, Cost: 2.5193\n", + " and the parameters are [-2.31788039 3.21383316] -4.1064718045237125 ;\n", + "Epoch 290/1000, Cost: 2.7606\n", + " and the parameters are [-2.31785435 3.21385927] -4.106515680658629 ;\n", + "Epoch 290/1000, Cost: 4.2617\n", + " and the parameters are [-2.3177796 3.2138702] -4.106593594381791 ;\n", + "Epoch 290/1000, Cost: 6.3373\n", + " and the parameters are [-2.31780047 3.21381663] -4.106663595806022 ;\n", + "Epoch 290/1000, Cost: 4.4722\n", + " and the parameters are [-2.31781945 3.2137903 ] -4.1067325744918195 ;\n", + "Epoch 290/1000, Cost: 4.3844\n", + " and the parameters are [-2.31787268 3.21374595] -4.106767230466172 ;\n", + "Epoch 290/1000, Cost: 3.5696\n", + " and the parameters are [-2.31788985 3.21372142] -4.10683003755601 ;\n", + "Epoch 290/1000, Cost: 4.5965\n", + " and the parameters are [-2.31794149 3.21365623] -4.106904951024538 ;\n", + "Epoch 290/1000, Cost: 6.0891\n", + " and the parameters are [-2.31785303 3.21387088] -4.106801403114821 ;\n", + "Epoch 290/1000, Cost: 4.2304\n", + " and the parameters are [-2.31784068 3.21395564] -4.106778607259073 ;\n", + "Epoch 290/1000, Cost: 3.4580\n", + " and the parameters are [-2.31785295 3.21404102] -4.1067482634780115 ;\n", + "Epoch 290/1000, Cost: 3.1104\n", + " and the parameters are [-2.3179023 3.21402666] -4.106791803891246 ;\n", + "Epoch 290/1000, Cost: 3.6286\n", + " and the parameters are [-2.31790611 3.2139727 ] -4.106880229868488 ;\n", + "Epoch 290/1000, Cost: 4.3911\n", + " and the parameters are [-2.31796526 3.2140603 ] -4.106842982806341 ;\n", + "Epoch 290/1000, Cost: 6.4269\n", + " and the parameters are [-2.31802769 3.21394936] -4.106912193849806 ;\n", + "Epoch 290/1000, Cost: 6.4950\n", + " and the parameters are [-2.31821983 3.21393551] -4.106858421448693 ;\n", + "Epoch 290/1000, Cost: 3.6317\n", + " and the parameters are [-2.31823354 3.21388251] -4.10693594844618 ;\n", + "Epoch 290/1000, Cost: 2.6421\n", + " and the parameters are [-2.31823496 3.21389127] -4.106978010239421 ;\n", + "Epoch 290/1000, Cost: 8.3869\n", + " and the parameters are [-2.31818563 3.21384872] -4.107072796143976 ;\n", + "Epoch 290/1000, Cost: 4.2001\n", + " and the parameters are [-2.31819055 3.2138872 ] -4.1070946004123 ;\n", + "Epoch 290/1000, Cost: 2.7584\n", + " and the parameters are [-2.31816514 3.213988 ] -4.107071218081541 ;\n", + "Epoch 290/1000, Cost: 3.6034\n", + " and the parameters are [-2.31822731 3.21396646] -4.107096167732293 ;\n", + "Epoch 290/1000, Cost: 3.4499\n", + " and the parameters are [-2.31820214 3.21397787] -4.107151800284969 ;\n", + "Epoch 290/1000, Cost: 1.5641\n", + " and the parameters are [-2.31817448 3.21404828] -4.107156724747765 ;\n", + "Epoch 290/1000, Cost: 2.0381\n", + " and the parameters are [-2.31817142 3.2141104 ] -4.10716157780758 ;\n", + "Epoch 290/1000, Cost: 2.6744\n", + " and the parameters are [-2.31818358 3.2140821 ] -4.107222502101935 ;\n", + "Epoch 290/1000, Cost: 2.7081\n", + " and the parameters are [-2.31821652 3.21416518] -4.107189295668294 ;\n", + "Epoch 290/1000, Cost: 2.7020\n", + " and the parameters are [-2.31820255 3.2142256 ] -4.107211558047038 ;\n", + "Epoch 290/1000, Cost: 3.5722\n", + " and the parameters are [-2.31823417 3.2142432 ] -4.10722437576682 ;\n", + "Epoch 290/1000, Cost: 1.7748\n", + " and the parameters are [-2.31823964 3.21430032] -4.107225465173433 ;\n", + "Epoch 290/1000, Cost: 4.8426\n", + " and the parameters are [-2.31826769 3.21432846] -4.107232132026053 ;\n", + "Epoch 290/1000, Cost: 2.8820\n", + " and the parameters are [-2.31824387 3.21437046] -4.107257902874466 ;\n", + "Epoch 290/1000, Cost: 3.0274\n", + " and the parameters are [-2.31828419 3.21440284] -4.107269179002155 ;\n", + "Epoch 290/1000, Cost: 2.3865\n", + " and the parameters are [-2.3182813 3.21445031] -4.107288477167026 ;\n", + "Epoch 290/1000, Cost: 9.2971\n", + " and the parameters are [-2.3184266 3.2141716] -4.107417065608645 ;\n", + "Epoch 290/1000, Cost: 3.0621\n", + " and the parameters are [-2.31839059 3.21426612] -4.107417277974939 ;\n", + "Epoch 290/1000, Cost: 5.9262\n", + " and the parameters are [-2.31840447 3.21422796] -4.107482849282481 ;\n", + "Epoch 290/1000, Cost: 1.9712\n", + " and the parameters are [-2.31842366 3.21428517] -4.107476062459549 ;\n", + "Epoch 290/1000, Cost: 4.5531\n", + " and the parameters are [-2.3184584 3.21427928] -4.107526079165139 ;\n", + "Epoch 300/1000, Cost: 3.9250\n", + " and the parameters are [-2.34169328 3.24266893] -4.148845738609842 ;\n", + "Epoch 300/1000, Cost: 5.4194\n", + " and the parameters are [-2.34168963 3.24255145] -4.148955725944713 ;\n", + "Epoch 300/1000, Cost: 2.5569\n", + " and the parameters are [-2.34172329 3.24253115] -4.148992040555181 ;\n", + "Epoch 300/1000, Cost: 3.6484\n", + " and the parameters are [-2.34182069 3.2424848 ] -4.1490182685199875 ;\n", + "Epoch 300/1000, Cost: 1.9679\n", + " and the parameters are [-2.34183112 3.24254514] -4.149016597364767 ;\n", + "Epoch 300/1000, Cost: 3.2337\n", + " and the parameters are [-2.34182216 3.2426091 ] -4.149017125762454 ;\n", + "Epoch 300/1000, Cost: 1.4279\n", + " and the parameters are [-2.34180303 3.24266381] -4.14902822714242 ;\n", + "Epoch 300/1000, Cost: 5.3425\n", + " and the parameters are [-2.3418012 3.24267126] -4.149040915602543 ;\n", + "Epoch 300/1000, Cost: 5.0010\n", + " and the parameters are [-2.34187659 3.24262722] -4.149065784818094 ;\n", + "Epoch 300/1000, Cost: 2.9281\n", + " and the parameters are [-2.34191227 3.24266935] -4.149059930345643 ;\n", + "Epoch 300/1000, Cost: 4.4473\n", + " and the parameters are [-2.34197842 3.24263042] -4.149088385124149 ;\n", + "Epoch 300/1000, Cost: 2.9185\n", + " and the parameters are [-2.34200309 3.24270942] -4.149056416358068 ;\n", + "Epoch 300/1000, Cost: 2.9896\n", + " and the parameters are [-2.34202233 3.2427 ] -4.14909186135247 ;\n", + "Epoch 300/1000, Cost: 2.8332\n", + " and the parameters are [-2.34199728 3.24269785] -4.149154002091837 ;\n", + "Epoch 300/1000, Cost: 3.3122\n", + " and the parameters are [-2.34201528 3.24278167] -4.149134560342063 ;\n", + "Epoch 300/1000, Cost: 4.7490\n", + " and the parameters are [-2.34205767 3.24283471] -4.1491397332526745 ;\n", + "Epoch 300/1000, Cost: 5.4746\n", + " and the parameters are [-2.34201145 3.24294403] -4.149071040631449 ;\n", + "Epoch 300/1000, Cost: 5.0558\n", + " and the parameters are [-2.34204248 3.24293106] -4.149095026234372 ;\n", + "Epoch 300/1000, Cost: 7.0704\n", + " and the parameters are [-2.34214281 3.24287946] -4.149109867298519 ;\n", + "Epoch 300/1000, Cost: 4.2057\n", + " and the parameters are [-2.34213163 3.24294212] -4.149116835954397 ;\n", + "Epoch 300/1000, Cost: 5.9686\n", + " and the parameters are [-2.34205693 3.24306 ] -4.149079291987837 ;\n", + "Epoch 300/1000, Cost: 2.2508\n", + " and the parameters are [-2.34209392 3.24308816] -4.149091055008619 ;\n", + "Epoch 300/1000, Cost: 5.3280\n", + " and the parameters are [-2.34215984 3.2430277 ] -4.149131950510464 ;\n", + "Epoch 300/1000, Cost: 3.4352\n", + " and the parameters are [-2.34215185 3.24310679] -4.149103385525503 ;\n", + "Epoch 300/1000, Cost: 4.3888\n", + " and the parameters are [-2.34219357 3.24303339] -4.14918243263021 ;\n", + "Epoch 300/1000, Cost: 3.5705\n", + " and the parameters are [-2.34218996 3.24297614] -4.1492713759228055 ;\n", + "Epoch 300/1000, Cost: 4.6760\n", + " and the parameters are [-2.34225917 3.2430544 ] -4.149228315297836 ;\n", + "Epoch 300/1000, Cost: 4.6371\n", + " and the parameters are [-2.34221361 3.24301399] -4.149333782240303 ;\n", + "Epoch 300/1000, Cost: 3.9102\n", + " and the parameters are [-2.34232596 3.24298752] -4.149340726245527 ;\n", + "Epoch 300/1000, Cost: 3.6257\n", + " and the parameters are [-2.34230704 3.24303431] -4.149362521817366 ;\n", + "Epoch 300/1000, Cost: 9.1302\n", + " and the parameters are [-2.34234378 3.24303087] -4.149325271196375 ;\n", + "Epoch 300/1000, Cost: 3.8089\n", + " and the parameters are [-2.34234273 3.24298761] -4.149384937672701 ;\n", + "Epoch 300/1000, Cost: 4.6805\n", + " and the parameters are [-2.34244056 3.24290669] -4.149438133256942 ;\n", + "Epoch 300/1000, Cost: 4.5768\n", + " and the parameters are [-2.34245141 3.24291145] -4.149467079746194 ;\n", + "Epoch 300/1000, Cost: 2.1100\n", + " and the parameters are [-2.34246676 3.24291766] -4.149493533911354 ;\n", + "Epoch 300/1000, Cost: 2.0469\n", + " and the parameters are [-2.34250104 3.24292679] -4.149510121746997 ;\n", + "Epoch 300/1000, Cost: 2.9977\n", + " and the parameters are [-2.34248803 3.24301441] -4.149504043744976 ;\n", + "Epoch 300/1000, Cost: 2.7185\n", + " and the parameters are [-2.34250872 3.24304889] -4.149512498601915 ;\n", + "Epoch 300/1000, Cost: 3.9093\n", + " and the parameters are [-2.34256518 3.24297861] -4.149560766850776 ;\n", + "Epoch 300/1000, Cost: 3.6169\n", + " and the parameters are [-2.34252016 3.24308942] -4.149548663073762 ;\n", + "Epoch 300/1000, Cost: 2.7324\n", + " and the parameters are [-2.3425161 3.24311823] -4.149576250486816 ;\n", + "Epoch 300/1000, Cost: 3.3418\n", + " and the parameters are [-2.34252187 3.24314588] -4.149583335218861 ;\n", + "Epoch 300/1000, Cost: 1.8097\n", + " and the parameters are [-2.34255878 3.24318901] -4.149567651125728 ;\n", + "Epoch 300/1000, Cost: 2.8288\n", + " and the parameters are [-2.34260499 3.24317101] -4.1496017878340306 ;\n", + "Epoch 300/1000, Cost: 2.8447\n", + " and the parameters are [-2.34264683 3.24311254] -4.149673743551688 ;\n", + "Epoch 300/1000, Cost: 2.4418\n", + " and the parameters are [-2.34267601 3.24309963] -4.149732732752853 ;\n", + "Epoch 300/1000, Cost: 2.7639\n", + " and the parameters are [-2.34268138 3.24317647] -4.149730268927699 ;\n", + "Epoch 300/1000, Cost: 4.0681\n", + " and the parameters are [-2.34274201 3.24307069] -4.1498347688078825 ;\n", + "Epoch 300/1000, Cost: 2.9521\n", + " and the parameters are [-2.34263657 3.24317729] -4.149850270772654 ;\n", + "Epoch 300/1000, Cost: 4.5564\n", + " and the parameters are [-2.34264878 3.24319777] -4.149867935206777 ;\n", + "Epoch 300/1000, Cost: 2.2814\n", + " and the parameters are [-2.34264962 3.24324717] -4.149866776868094 ;\n", + "Epoch 300/1000, Cost: 2.2328\n", + " and the parameters are [-2.34261484 3.24331054] -4.149890141270746 ;\n", + "Epoch 300/1000, Cost: 3.2377\n", + " and the parameters are [-2.34259937 3.24337383] -4.1498971449614235 ;\n", + "Epoch 300/1000, Cost: 2.8113\n", + " and the parameters are [-2.34263393 3.24341156] -4.149896695459324 ;\n", + "Epoch 300/1000, Cost: 2.3911\n", + " and the parameters are [-2.34270343 3.24342479] -4.149895362097867 ;\n", + "Epoch 300/1000, Cost: 3.3968\n", + " and the parameters are [-2.34265677 3.24348902] -4.149901997418568 ;\n", + "Epoch 300/1000, Cost: 2.3842\n", + " and the parameters are [-2.34265028 3.2435062 ] -4.149937208884019 ;\n", + "Epoch 300/1000, Cost: 2.2412\n", + " and the parameters are [-2.34266834 3.2435405 ] -4.149949426968781 ;\n", + "Epoch 300/1000, Cost: 6.8672\n", + " and the parameters are [-2.34268623 3.24353973] -4.149964439186325 ;\n", + "Epoch 300/1000, Cost: 3.1765\n", + " and the parameters are [-2.3427442 3.24341962] -4.150062730077109 ;\n", + "Epoch 300/1000, Cost: 3.0033\n", + " and the parameters are [-2.34272364 3.24355813] -4.150019901051944 ;\n", + "Epoch 300/1000, Cost: 4.6400\n", + " and the parameters are [-2.34281733 3.24348269] -4.150080910410333 ;\n", + "Epoch 300/1000, Cost: 1.4443\n", + " and the parameters are [-2.34280719 3.24356094] -4.150066098862466 ;\n", + "Epoch 300/1000, Cost: 2.3912\n", + " and the parameters are [-2.34280045 3.2436407 ] -4.150048239865807 ;\n", + "Epoch 300/1000, Cost: 7.6898\n", + " and the parameters are [-2.34284375 3.24346265] -4.150199721446762 ;\n", + "Epoch 300/1000, Cost: 4.5876\n", + " and the parameters are [-2.3428514 3.24349695] -4.150234521564805 ;\n", + "Epoch 300/1000, Cost: 4.0163\n", + " and the parameters are [-2.34300872 3.24340334] -4.1502668073492925 ;\n", + "Epoch 300/1000, Cost: 3.4228\n", + " and the parameters are [-2.34307421 3.2433489 ] -4.150326639584063 ;\n", + "Epoch 300/1000, Cost: 4.8249\n", + " and the parameters are [-2.34307605 3.24329532] -4.150401966989679 ;\n", + "Epoch 300/1000, Cost: 4.2961\n", + " and the parameters are [-2.34303191 3.24322359] -4.15049937692168 ;\n", + "Epoch 300/1000, Cost: 3.7891\n", + " and the parameters are [-2.34307526 3.24321861] -4.150545347790076 ;\n", + "Epoch 300/1000, Cost: 2.0382\n", + " and the parameters are [-2.34307546 3.24331589] -4.150515219879478 ;\n", + "Epoch 300/1000, Cost: 4.1902\n", + " and the parameters are [-2.34297085 3.24336225] -4.150569309155996 ;\n", + "Epoch 300/1000, Cost: 2.2701\n", + " and the parameters are [-2.34299638 3.24341063] -4.1505673975368405 ;\n", + "Epoch 300/1000, Cost: 4.7346\n", + " and the parameters are [-2.34297005 3.24349685] -4.15054215488486 ;\n", + "Epoch 300/1000, Cost: 1.7254\n", + " and the parameters are [-2.34299093 3.2435306 ] -4.1505478218672325 ;\n", + "Epoch 300/1000, Cost: 8.2898\n", + " and the parameters are [-2.34299044 3.24352592] -4.150556279505891 ;\n", + "Epoch 300/1000, Cost: 1.6131\n", + " and the parameters are [-2.34299752 3.24357555] -4.150550763698271 ;\n", + "Epoch 300/1000, Cost: 2.2792\n", + " and the parameters are [-2.34297934 3.24364203] -4.150560171724162 ;\n", + "Epoch 300/1000, Cost: 6.7262\n", + " and the parameters are [-2.34279251 3.24368695] -4.150667190463395 ;\n", + "Epoch 300/1000, Cost: 1.9047\n", + " and the parameters are [-2.34286008 3.24370463] -4.15065598514455 ;\n", + "Epoch 300/1000, Cost: 4.0710\n", + " and the parameters are [-2.34279641 3.24389979] -4.150593574126489 ;\n", + "Epoch 300/1000, Cost: 1.6183\n", + " and the parameters are [-2.34284405 3.24392398] -4.150588252808884 ;\n", + "Epoch 300/1000, Cost: 4.9199\n", + " and the parameters are [-2.34279507 3.24386799] -4.150673058728272 ;\n", + "Epoch 300/1000, Cost: 3.8654\n", + " and the parameters are [-2.34282999 3.24382649] -4.150735646144232 ;\n", + "Epoch 300/1000, Cost: 1.9802\n", + " and the parameters are [-2.34280824 3.24384373] -4.150782218286273 ;\n", + "Epoch 300/1000, Cost: 3.1640\n", + " and the parameters are [-2.34282015 3.2439396 ] -4.150759556528284 ;\n", + "Epoch 300/1000, Cost: 1.8383\n", + " and the parameters are [-2.34283878 3.24393736] -4.150792232259671 ;\n", + "Epoch 300/1000, Cost: 1.8959\n", + " and the parameters are [-2.34284678 3.24397289] -4.150808161523263 ;\n", + "Epoch 300/1000, Cost: 4.4142\n", + " and the parameters are [-2.34284575 3.24395629] -4.150865154396123 ;\n", + "Epoch 300/1000, Cost: 4.5020\n", + " and the parameters are [-2.34286127 3.24403448] -4.1508566412232755 ;\n", + "Epoch 300/1000, Cost: 3.3182\n", + " and the parameters are [-2.34284938 3.24408017] -4.150877347557151 ;\n", + "Epoch 300/1000, Cost: 3.7748\n", + " and the parameters are [-2.34287257 3.24405272] -4.150935822002027 ;\n", + "Epoch 300/1000, Cost: 3.7836\n", + " and the parameters are [-2.34287753 3.24398672] -4.15103543685396 ;\n", + "Epoch 300/1000, Cost: 3.0924\n", + " and the parameters are [-2.34285404 3.24407095] -4.151021977326263 ;\n", + "Epoch 300/1000, Cost: 6.4088\n", + " and the parameters are [-2.34289027 3.24416653] -4.150936924349085 ;\n", + "Epoch 300/1000, Cost: 3.3637\n", + " and the parameters are [-2.34286095 3.24431675] -4.150887472649635 ;\n", + "Epoch 300/1000, Cost: 3.8451\n", + " and the parameters are [-2.342917 3.24426234] -4.150952150477352 ;\n", + "Epoch 300/1000, Cost: 2.8744\n", + " and the parameters are [-2.3429931 3.24429531] -4.150931367573841 ;\n", + "Epoch 300/1000, Cost: 9.1927\n", + " and the parameters are [-2.34298125 3.24429337] -4.150922003309819 ;\n", + "Epoch 300/1000, Cost: 3.8481\n", + " and the parameters are [-2.34294116 3.24443251] -4.150890415352539 ;\n", + "Epoch 300/1000, Cost: 2.3526\n", + " and the parameters are [-2.34291013 3.2444865 ] -4.150914365824498 ;\n", + "Epoch 300/1000, Cost: 3.8015\n", + " and the parameters are [-2.34292541 3.24452484] -4.150926140380999 ;\n", + "Epoch 300/1000, Cost: 4.3860\n", + " and the parameters are [-2.34291299 3.24457825] -4.150940962834663 ;\n", + "Epoch 300/1000, Cost: 2.5951\n", + " and the parameters are [-2.34292918 3.24462495] -4.150949935969826 ;\n", + "Epoch 300/1000, Cost: 6.1330\n", + " and the parameters are [-2.34293655 3.24464771] -4.150961338416394 ;\n", + "Epoch 300/1000, Cost: 4.1941\n", + " and the parameters are [-2.34298898 3.24451755] -4.151091881302505 ;\n", + "Epoch 300/1000, Cost: 3.4228\n", + " and the parameters are [-2.34298788 3.24454217] -4.151139558533927 ;\n", + "Epoch 300/1000, Cost: 4.3328\n", + " and the parameters are [-2.34297709 3.24463924] -4.151129820610437 ;\n", + "Epoch 300/1000, Cost: 5.4061\n", + " and the parameters are [-2.34296704 3.24474854] -4.151082162742182 ;\n", + "Epoch 300/1000, Cost: 1.5274\n", + " and the parameters are [-2.34292905 3.24486102] -4.151055207028923 ;\n", + "Epoch 300/1000, Cost: 8.0476\n", + " and the parameters are [-2.34295838 3.24490005] -4.151015124109977 ;\n", + "Epoch 300/1000, Cost: 2.2094\n", + " and the parameters are [-2.34300421 3.24486408] -4.151068102671249 ;\n", + "Epoch 300/1000, Cost: 3.0464\n", + " and the parameters are [-2.34297998 3.24492039] -4.1510806280647135 ;\n", + "Epoch 300/1000, Cost: 4.8100\n", + " and the parameters are [-2.34299804 3.2449285 ] -4.151114434415144 ;\n", + "Epoch 300/1000, Cost: 5.2615\n", + " and the parameters are [-2.34303199 3.24483051] -4.151197226725653 ;\n", + "Epoch 300/1000, Cost: 5.0234\n", + " and the parameters are [-2.34310936 3.24499716] -4.151063644821841 ;\n", + "Epoch 300/1000, Cost: 1.7682\n", + " and the parameters are [-2.34313807 3.24501908] -4.151075953139529 ;\n", + "Epoch 300/1000, Cost: 2.1761\n", + " and the parameters are [-2.34312869 3.24510089] -4.151064838317027 ;\n", + "Epoch 300/1000, Cost: 5.0835\n", + " and the parameters are [-2.34322464 3.24505433] -4.151092980894917 ;\n", + "Epoch 300/1000, Cost: 3.5940\n", + " and the parameters are [-2.3432668 3.24509461] -4.151080461270255 ;\n", + "Epoch 300/1000, Cost: 5.1335\n", + " and the parameters are [-2.34323818 3.24508752] -4.151114627145794 ;\n", + "Epoch 300/1000, Cost: 2.9259\n", + " and the parameters are [-2.3432317 3.24522449] -4.151061113816977 ;\n", + "Epoch 300/1000, Cost: 5.1447\n", + " and the parameters are [-2.34319876 3.24523618] -4.151130161605576 ;\n", + "Epoch 300/1000, Cost: 3.4137\n", + " and the parameters are [-2.34321785 3.24527701] -4.15114438283944 ;\n", + "Epoch 300/1000, Cost: 3.3500\n", + " and the parameters are [-2.34314304 3.24541923] -4.151115889297753 ;\n", + "Epoch 300/1000, Cost: 2.0305\n", + " and the parameters are [-2.34310561 3.24548377] -4.151142033545872 ;\n", + "Epoch 300/1000, Cost: 4.0852\n", + " and the parameters are [-2.34315955 3.24549395] -4.1511548518772665 ;\n", + "Epoch 300/1000, Cost: 4.5438\n", + " and the parameters are [-2.34317581 3.24550338] -4.151186669330428 ;\n", + "Epoch 300/1000, Cost: 7.3504\n", + " and the parameters are [-2.34310535 3.2454478 ] -4.151275834197774 ;\n", + "Epoch 300/1000, Cost: 4.5602\n", + " and the parameters are [-2.34304982 3.24543684] -4.151371288144366 ;\n", + "Epoch 300/1000, Cost: 3.7945\n", + " and the parameters are [-2.34310933 3.24545334] -4.151387556966263 ;\n", + "Epoch 300/1000, Cost: 2.4649\n", + " and the parameters are [-2.34312227 3.24550516] -4.151390994006163 ;\n", + "Epoch 300/1000, Cost: 2.4781\n", + " and the parameters are [-2.34309907 3.24559153] -4.1513837263866735 ;\n", + "Epoch 300/1000, Cost: 2.3812\n", + " and the parameters are [-2.34308567 3.24562497] -4.151397256871733 ;\n", + "Epoch 300/1000, Cost: 2.5918\n", + " and the parameters are [-2.34308117 3.24565453] -4.151418844688779 ;\n", + "Epoch 300/1000, Cost: 5.9558\n", + " and the parameters are [-2.34310746 3.24555331] -4.151499257018225 ;\n", + "Epoch 300/1000, Cost: 3.5844\n", + " and the parameters are [-2.34309383 3.24556012] -4.151564583865589 ;\n", + "Epoch 300/1000, Cost: 3.6660\n", + " and the parameters are [-2.34313759 3.24561255] -4.151543732673388 ;\n", + "Epoch 300/1000, Cost: 4.2994\n", + " and the parameters are [-2.34313555 3.24558901] -4.151615231786682 ;\n", + "Epoch 300/1000, Cost: 4.6147\n", + " and the parameters are [-2.34315609 3.24549915] -4.151711511367756 ;\n", + "Epoch 300/1000, Cost: 1.7972\n", + " and the parameters are [-2.34321685 3.2455222 ] -4.15170411105105 ;\n", + "Epoch 300/1000, Cost: 3.1940\n", + " and the parameters are [-2.34325497 3.2455262 ] -4.1517395647533855 ;\n", + "Epoch 300/1000, Cost: 2.3682\n", + " and the parameters are [-2.34332213 3.24552693] -4.151741043184573 ;\n", + "Epoch 300/1000, Cost: 4.8465\n", + " and the parameters are [-2.34330993 3.24556459] -4.151768614507789 ;\n", + "Epoch 300/1000, Cost: 3.4121\n", + " and the parameters are [-2.34336602 3.24553508] -4.151797087350379 ;\n", + "Epoch 300/1000, Cost: 5.5394\n", + " and the parameters are [-2.34335843 3.24557404] -4.151813210240438 ;\n", + "Epoch 300/1000, Cost: 6.4497\n", + " and the parameters are [-2.34345894 3.24550077] -4.151843657207083 ;\n", + "Epoch 300/1000, Cost: 3.9508\n", + " and the parameters are [-2.34337948 3.24564887] -4.151835053370367 ;\n", + "Epoch 300/1000, Cost: 2.1673\n", + " and the parameters are [-2.34340067 3.24572991] -4.151808487698544 ;\n", + "Epoch 300/1000, Cost: 3.0324\n", + " and the parameters are [-2.34336787 3.24581951] -4.151801316440031 ;\n", + "Epoch 300/1000, Cost: 2.1522\n", + " and the parameters are [-2.34337016 3.24583924] -4.151820973989216 ;\n", + "Epoch 300/1000, Cost: 7.0953\n", + " and the parameters are [-2.3434272 3.245648 ] -4.151951481201036 ;\n", + "Epoch 300/1000, Cost: 2.3663\n", + " and the parameters are [-2.34346442 3.24564401] -4.151985927214676 ;\n", + "Epoch 300/1000, Cost: 4.7550\n", + " and the parameters are [-2.34346631 3.24558986] -4.152057493878162 ;\n", + "Epoch 300/1000, Cost: 5.2362\n", + " and the parameters are [-2.34361034 3.2456576 ] -4.151958572581426 ;\n", + "Epoch 300/1000, Cost: 3.0452\n", + " and the parameters are [-2.34367513 3.24558728] -4.15202640274988 ;\n", + "Epoch 300/1000, Cost: 4.1262\n", + " and the parameters are [-2.34369035 3.24557343] -4.15207656621399 ;\n", + "Epoch 300/1000, Cost: 4.6566\n", + " and the parameters are [-2.34372465 3.24559486] -4.152068841673603 ;\n", + "Epoch 300/1000, Cost: 3.8913\n", + " and the parameters are [-2.34363602 3.245672 ] -4.152117908156663 ;\n", + "Epoch 300/1000, Cost: 2.5089\n", + " and the parameters are [-2.34362448 3.2457887 ] -4.152078687963705 ;\n", + "Epoch 300/1000, Cost: 6.7283\n", + " and the parameters are [-2.34362735 3.24561842] -4.152243163914295 ;\n", + "Epoch 300/1000, Cost: 6.3592\n", + " and the parameters are [-2.34372852 3.24548976] -4.152297343570947 ;\n", + "Epoch 300/1000, Cost: 3.0691\n", + " and the parameters are [-2.34374099 3.24552612] -4.152315320916791 ;\n", + "Epoch 300/1000, Cost: 2.6291\n", + " and the parameters are [-2.34375688 3.24555296] -4.15233484636639 ;\n", + "Epoch 300/1000, Cost: 6.7805\n", + " and the parameters are [-2.34382232 3.2455038 ] -4.152355920981165 ;\n", + "Epoch 300/1000, Cost: 2.1646\n", + " and the parameters are [-2.34381947 3.24549332] -4.1524124425916265 ;\n", + "Epoch 300/1000, Cost: 2.6226\n", + " and the parameters are [-2.34381416 3.24554716] -4.1524140295762555 ;\n", + "Epoch 300/1000, Cost: 2.6922\n", + " and the parameters are [-2.34378595 3.24557386] -4.152461041508263 ;\n", + "Epoch 300/1000, Cost: 8.0938\n", + " and the parameters are [-2.34382944 3.24538991] -4.152582790565037 ;\n", + "Epoch 300/1000, Cost: 5.2669\n", + " and the parameters are [-2.34377789 3.24543688] -4.152608407633159 ;\n", + "Epoch 300/1000, Cost: 1.4806\n", + " and the parameters are [-2.34377703 3.24546366] -4.152632120339593 ;\n", + "Epoch 300/1000, Cost: 3.1551\n", + " and the parameters are [-2.34379866 3.24542006] -4.1527006362114465 ;\n", + "Epoch 300/1000, Cost: 5.9244\n", + " and the parameters are [-2.34379361 3.24532654] -4.152799472585294 ;\n", + "Epoch 300/1000, Cost: 2.4356\n", + " and the parameters are [-2.34381562 3.24531199] -4.152841637509418 ;\n", + "Epoch 300/1000, Cost: 4.3871\n", + " and the parameters are [-2.34390396 3.24531471] -4.152845756182292 ;\n", + "Epoch 300/1000, Cost: 5.7911\n", + " and the parameters are [-2.34382857 3.2455306 ] -4.152752576666799 ;\n", + "Epoch 300/1000, Cost: 2.8226\n", + " and the parameters are [-2.34391458 3.24541285] -4.15282712332659 ;\n", + "Epoch 300/1000, Cost: 3.2646\n", + " and the parameters are [-2.34395011 3.24539761] -4.152881726096836 ;\n", + "Epoch 300/1000, Cost: 3.3186\n", + " and the parameters are [-2.34392596 3.24542039] -4.152928794526459 ;\n", + "Epoch 300/1000, Cost: 2.7563\n", + " and the parameters are [-2.34390931 3.24556398] -4.152865539280975 ;\n", + "Epoch 300/1000, Cost: 3.7791\n", + " and the parameters are [-2.34390405 3.24569486] -4.152817348503814 ;\n", + "Epoch 300/1000, Cost: 2.5242\n", + " and the parameters are [-2.34388285 3.24570583] -4.152870955839693 ;\n", + "Epoch 300/1000, Cost: 2.1081\n", + " and the parameters are [-2.34392463 3.24571744] -4.15288982864679 ;\n", + "Epoch 300/1000, Cost: 5.1941\n", + " and the parameters are [-2.34395199 3.24564558] -4.152962980460826 ;\n", + "Epoch 300/1000, Cost: 3.2449\n", + " and the parameters are [-2.34396578 3.24571021] -4.15295042292016 ;\n", + "Epoch 300/1000, Cost: 1.8359\n", + " and the parameters are [-2.34402822 3.24570562] -4.152961569539865 ;\n", + "Epoch 300/1000, Cost: 2.2331\n", + " and the parameters are [-2.34403861 3.2457429 ] -4.152971176072057 ;\n", + "Epoch 300/1000, Cost: 2.8234\n", + " and the parameters are [-2.34408049 3.24571755] -4.153011108468238 ;\n", + "Epoch 300/1000, Cost: 3.1991\n", + " and the parameters are [-2.34410504 3.24563163] -4.153103125743675 ;\n", + "Epoch 300/1000, Cost: 3.8397\n", + " and the parameters are [-2.34404986 3.2455742 ] -4.153215679724327 ;\n", + "Epoch 300/1000, Cost: 3.7800\n", + " and the parameters are [-2.3441022 3.24566559] -4.153153994706109 ;\n", + "Epoch 300/1000, Cost: 4.6241\n", + " and the parameters are [-2.34407852 3.245659 ] -4.15321296531282 ;\n", + "Epoch 300/1000, Cost: 3.1179\n", + " and the parameters are [-2.34411863 3.24562615] -4.153272362851886 ;\n", + "Epoch 300/1000, Cost: 1.8685\n", + " and the parameters are [-2.34411823 3.24571782] -4.153246653050369 ;\n", + "Epoch 300/1000, Cost: 5.0428\n", + " and the parameters are [-2.34412085 3.24572305] -4.15325864540437 ;\n", + "Epoch 300/1000, Cost: 3.3098\n", + " and the parameters are [-2.34410472 3.245733 ] -4.153324877265354 ;\n", + "Epoch 300/1000, Cost: 4.8162\n", + " and the parameters are [-2.34407865 3.24585429] -4.153284606079335 ;\n", + "Epoch 300/1000, Cost: 5.4538\n", + " and the parameters are [-2.34417332 3.24581519] -4.15331218248134 ;\n", + "Epoch 300/1000, Cost: 2.2026\n", + " and the parameters are [-2.34421744 3.24580826] -4.153334484090428 ;\n", + "Epoch 310/1000, Cost: 3.4580\n", + " and the parameters are [-2.36676443 3.2734528 ] -4.193377815618554 ;\n", + "Epoch 310/1000, Cost: 2.9971\n", + " and the parameters are [-2.36679804 3.27344491] -4.1934088120361555 ;\n", + "Epoch 310/1000, Cost: 4.2822\n", + " and the parameters are [-2.36688947 3.27337612] -4.193456335003095 ;\n", + "Epoch 310/1000, Cost: 4.9576\n", + " and the parameters are [-2.36691732 3.27325459] -4.193552974619001 ;\n", + "Epoch 310/1000, Cost: 3.2163\n", + " and the parameters are [-2.36692833 3.2733081 ] -4.193563123911402 ;\n", + "Epoch 310/1000, Cost: 3.0361\n", + " and the parameters are [-2.36696885 3.27324859] -4.193630598508032 ;\n", + "Epoch 310/1000, Cost: 4.1872\n", + " and the parameters are [-2.36697412 3.27345168] -4.193519714574503 ;\n", + "Epoch 310/1000, Cost: 4.7367\n", + " and the parameters are [-2.36703791 3.27349204] -4.193493083230499 ;\n", + "Epoch 310/1000, Cost: 6.1215\n", + " and the parameters are [-2.36699374 3.2733658 ] -4.193636258461207 ;\n", + "Epoch 310/1000, Cost: 3.0742\n", + " and the parameters are [-2.36699315 3.27349051] -4.193588989506618 ;\n", + "Epoch 310/1000, Cost: 3.2558\n", + " and the parameters are [-2.36705586 3.27347524] -4.193625328703802 ;\n", + "Epoch 310/1000, Cost: 3.6372\n", + " and the parameters are [-2.36707629 3.27357098] -4.19359532135706 ;\n", + "Epoch 310/1000, Cost: 7.4430\n", + " and the parameters are [-2.36699574 3.27361988] -4.19359918170414 ;\n", + "Epoch 310/1000, Cost: 2.7822\n", + " and the parameters are [-2.36704559 3.27361492] -4.193624158293016 ;\n", + "Epoch 310/1000, Cost: 4.3927\n", + " and the parameters are [-2.36716559 3.27373549] -4.193488328468918 ;\n", + "Epoch 310/1000, Cost: 2.8582\n", + " and the parameters are [-2.36716905 3.27378988] -4.193487743272496 ;\n", + "Epoch 310/1000, Cost: 4.7054\n", + " and the parameters are [-2.36711026 3.27378791] -4.193538732952408 ;\n", + "Epoch 310/1000, Cost: 1.7865\n", + " and the parameters are [-2.36711817 3.27381321] -4.193555917637998 ;\n", + "Epoch 310/1000, Cost: 2.0196\n", + " and the parameters are [-2.36711415 3.27389496] -4.193535460023864 ;\n", + "Epoch 310/1000, Cost: 2.2949\n", + " and the parameters are [-2.36712884 3.2740039 ] -4.193490067345163 ;\n", + "Epoch 310/1000, Cost: 4.2507\n", + " and the parameters are [-2.36718709 3.2740127 ] -4.193491280274865 ;\n", + "Epoch 310/1000, Cost: 5.0629\n", + " and the parameters are [-2.36721902 3.27397944] -4.193535523390579 ;\n", + "Epoch 310/1000, Cost: 2.3531\n", + " and the parameters are [-2.36720813 3.27400127] -4.193567553981228 ;\n", + "Epoch 310/1000, Cost: 1.9677\n", + " and the parameters are [-2.36722062 3.2740059 ] -4.193608390690857 ;\n", + "Epoch 310/1000, Cost: 4.8625\n", + " and the parameters are [-2.36723523 3.27400599] -4.193635573556085 ;\n", + "Epoch 310/1000, Cost: 5.0711\n", + " and the parameters are [-2.36726045 3.27408311] -4.1935765191937735 ;\n", + "Epoch 310/1000, Cost: 4.3913\n", + " and the parameters are [-2.36725469 3.27417045] -4.193576542993956 ;\n", + "Epoch 310/1000, Cost: 6.4245\n", + " and the parameters are [-2.36734367 3.27403536] -4.193642427462829 ;\n", + "Epoch 310/1000, Cost: 3.4081\n", + " and the parameters are [-2.36740201 3.27401582] -4.193675734795156 ;\n", + "Epoch 310/1000, Cost: 3.5471\n", + " and the parameters are [-2.36736857 3.27408443] -4.193680603515371 ;\n", + "Epoch 310/1000, Cost: 7.4379\n", + " and the parameters are [-2.36748266 3.27386096] -4.193817389676331 ;\n", + "Epoch 310/1000, Cost: 4.4656\n", + " and the parameters are [-2.36743074 3.27384359] -4.19389212963706 ;\n", + "Epoch 310/1000, Cost: 2.8623\n", + " and the parameters are [-2.36746449 3.27376089] -4.193981087503702 ;\n", + "Epoch 310/1000, Cost: 4.4562\n", + " and the parameters are [-2.3674821 3.27377388] -4.194012335073183 ;\n", + "Epoch 310/1000, Cost: 2.5445\n", + " and the parameters are [-2.36747092 3.27384385] -4.19402289912973 ;\n", + "Epoch 310/1000, Cost: 4.0197\n", + " and the parameters are [-2.3674462 3.27377654] -4.194139325471897 ;\n", + "Epoch 310/1000, Cost: 4.6505\n", + " and the parameters are [-2.36737078 3.27380875] -4.194185867008816 ;\n", + "Epoch 310/1000, Cost: 6.6199\n", + " and the parameters are [-2.36741029 3.27379077] -4.19422289833875 ;\n", + "Epoch 310/1000, Cost: 1.4689\n", + " and the parameters are [-2.36740977 3.27381729] -4.194245280301613 ;\n", + "Epoch 310/1000, Cost: 3.6403\n", + " and the parameters are [-2.36740361 3.27389657] -4.194234578712615 ;\n", + "Epoch 310/1000, Cost: 3.0519\n", + " and the parameters are [-2.36743166 3.27389657] -4.194269239579422 ;\n", + "Epoch 310/1000, Cost: 5.2124\n", + " and the parameters are [-2.36755754 3.27378859] -4.194295867774632 ;\n", + "Epoch 310/1000, Cost: 2.9583\n", + " and the parameters are [-2.36751672 3.2738414 ] -4.194334469685587 ;\n", + "Epoch 310/1000, Cost: 3.2088\n", + " and the parameters are [-2.36750435 3.27395649] -4.1943021011829025 ;\n", + "Epoch 310/1000, Cost: 6.6916\n", + " and the parameters are [-2.36743774 3.2739981 ] -4.194295786987274 ;\n", + "Epoch 310/1000, Cost: 4.3178\n", + " and the parameters are [-2.3674849 3.27388651] -4.194419227714084 ;\n", + "Epoch 310/1000, Cost: 2.0306\n", + " and the parameters are [-2.36749133 3.27388646] -4.194456049045101 ;\n", + "Epoch 310/1000, Cost: 3.9863\n", + " and the parameters are [-2.3674831 3.27392984] -4.19447406934066 ;\n", + "Epoch 310/1000, Cost: 2.4613\n", + " and the parameters are [-2.36746651 3.27400979] -4.194461616864475 ;\n", + "Epoch 310/1000, Cost: 4.1148\n", + " and the parameters are [-2.36747688 3.27416062] -4.1944005595276685 ;\n", + "Epoch 310/1000, Cost: 4.8768\n", + " and the parameters are [-2.36746835 3.2743206 ] -4.194325515698295 ;\n", + "Epoch 310/1000, Cost: 2.6423\n", + " and the parameters are [-2.3674885 3.27434933] -4.194356168927346 ;\n", + "Epoch 310/1000, Cost: 3.3951\n", + " and the parameters are [-2.3675291 3.27433844] -4.194384080276152 ;\n", + "Epoch 310/1000, Cost: 4.4313\n", + " and the parameters are [-2.36759997 3.2742167 ] -4.194478864423984 ;\n", + "Epoch 310/1000, Cost: 4.0641\n", + " and the parameters are [-2.36753625 3.27435933] -4.194467975105282 ;\n", + "Epoch 310/1000, Cost: 3.8982\n", + " and the parameters are [-2.36757907 3.27441311] -4.194465751046162 ;\n", + "Epoch 310/1000, Cost: 4.3589\n", + " and the parameters are [-2.36749854 3.27457596] -4.194415567474231 ;\n", + "Epoch 310/1000, Cost: 1.9003\n", + " and the parameters are [-2.36751302 3.27468264] -4.194372269427847 ;\n", + "Epoch 310/1000, Cost: 4.5785\n", + " and the parameters are [-2.36750457 3.27471735] -4.19438888765539 ;\n", + "Epoch 310/1000, Cost: 5.0962\n", + " and the parameters are [-2.36752404 3.27478168] -4.1943758314770045 ;\n", + "Epoch 310/1000, Cost: 4.1114\n", + " and the parameters are [-2.3675805 3.27479286] -4.1943916596143715 ;\n", + "Epoch 310/1000, Cost: 3.2813\n", + " and the parameters are [-2.36762753 3.27472624] -4.19445986144674 ;\n", + "Epoch 310/1000, Cost: 3.1016\n", + " and the parameters are [-2.36763619 3.27479262] -4.194470294752326 ;\n", + "Epoch 310/1000, Cost: 2.0599\n", + " and the parameters are [-2.36764541 3.27476149] -4.194535901624091 ;\n", + "Epoch 310/1000, Cost: 2.0937\n", + " and the parameters are [-2.36765706 3.27474069] -4.194579987764568 ;\n", + "Epoch 310/1000, Cost: 4.5772\n", + " and the parameters are [-2.36771378 3.27468492] -4.194642403685225 ;\n", + "Epoch 310/1000, Cost: 3.7947\n", + " and the parameters are [-2.36776451 3.27458259] -4.194716993924248 ;\n", + "Epoch 310/1000, Cost: 3.6729\n", + " and the parameters are [-2.36774725 3.27462357] -4.194751764555545 ;\n", + "Epoch 310/1000, Cost: 5.3044\n", + " and the parameters are [-2.36777034 3.27458149] -4.194798674894041 ;\n", + "Epoch 310/1000, Cost: 3.9100\n", + " and the parameters are [-2.36784738 3.27456402] -4.194813927354317 ;\n", + "Epoch 310/1000, Cost: 4.7178\n", + " and the parameters are [-2.36787364 3.27454455] -4.194850452497074 ;\n", + "Epoch 310/1000, Cost: 7.1374\n", + " and the parameters are [-2.36785846 3.27438751] -4.194990178607185 ;\n", + "Epoch 310/1000, Cost: 3.2244\n", + " and the parameters are [-2.36784255 3.27447268] -4.194978282230963 ;\n", + "Epoch 310/1000, Cost: 3.0393\n", + " and the parameters are [-2.36784449 3.27443668] -4.195050960377211 ;\n", + "Epoch 310/1000, Cost: 4.4031\n", + " and the parameters are [-2.36782569 3.27439563] -4.195106389639123 ;\n", + "Epoch 310/1000, Cost: 4.4206\n", + " and the parameters are [-2.36778171 3.27429833] -4.195241687534345 ;\n", + "Epoch 310/1000, Cost: 3.8883\n", + " and the parameters are [-2.36784024 3.27425496] -4.195286515892355 ;\n", + "Epoch 310/1000, Cost: 3.5893\n", + " and the parameters are [-2.36784401 3.27425197] -4.1953371472776375 ;\n", + "Epoch 310/1000, Cost: 1.2495\n", + " and the parameters are [-2.36781764 3.27429229] -4.195362170967288 ;\n", + "Epoch 310/1000, Cost: 2.2758\n", + " and the parameters are [-2.36781803 3.27432483] -4.195387842500099 ;\n", + "Epoch 310/1000, Cost: 2.6843\n", + " and the parameters are [-2.36790113 3.27422529] -4.195456109368193 ;\n", + "Epoch 310/1000, Cost: 4.0081\n", + " and the parameters are [-2.36788634 3.27425816] -4.195477101180533 ;\n", + "Epoch 310/1000, Cost: 6.6242\n", + " and the parameters are [-2.36787597 3.2743064 ] -4.195497498489811 ;\n", + "Epoch 310/1000, Cost: 6.5065\n", + " and the parameters are [-2.36781956 3.27441974] -4.195433157214887 ;\n", + "Epoch 310/1000, Cost: 2.6402\n", + " and the parameters are [-2.36778116 3.27443156] -4.19549322430842 ;\n", + "Epoch 310/1000, Cost: 1.3221\n", + " and the parameters are [-2.36776446 3.27449419] -4.195489671613011 ;\n", + "Epoch 310/1000, Cost: 4.2524\n", + " and the parameters are [-2.36768686 3.27461087] -4.195479587906932 ;\n", + "Epoch 310/1000, Cost: 1.4955\n", + " and the parameters are [-2.36772303 3.27468686] -4.195437980822406 ;\n", + "Epoch 310/1000, Cost: 3.6302\n", + " and the parameters are [-2.36769341 3.27467437] -4.19551650202298 ;\n", + "Epoch 310/1000, Cost: 3.8946\n", + " and the parameters are [-2.36768415 3.27461072] -4.195594166299944 ;\n", + "Epoch 310/1000, Cost: 2.2887\n", + " and the parameters are [-2.3676367 3.2746545] -4.195629688912217 ;\n", + "Epoch 310/1000, Cost: 3.1152\n", + " and the parameters are [-2.36767045 3.27471379] -4.195619767789882 ;\n", + "Epoch 310/1000, Cost: 5.3512\n", + " and the parameters are [-2.36768687 3.27465491] -4.195688613807671 ;\n", + "Epoch 310/1000, Cost: 2.9034\n", + " and the parameters are [-2.36773384 3.27470924] -4.195654115753317 ;\n", + "Epoch 310/1000, Cost: 2.2121\n", + " and the parameters are [-2.36777811 3.27468172] -4.195697159057815 ;\n", + "Epoch 310/1000, Cost: 2.8463\n", + " and the parameters are [-2.36777219 3.27463785] -4.1957655928778514 ;\n", + "Epoch 310/1000, Cost: 1.6212\n", + " and the parameters are [-2.36779612 3.27461899] -4.195804236772926 ;\n", + "Epoch 310/1000, Cost: 4.0213\n", + " and the parameters are [-2.36787791 3.27449741] -4.195884532950739 ;\n", + "Epoch 310/1000, Cost: 1.8108\n", + " and the parameters are [-2.36781943 3.2745234 ] -4.1959437798553 ;\n", + "Epoch 310/1000, Cost: 3.3905\n", + " and the parameters are [-2.36782128 3.27458454] -4.195960600564637 ;\n", + "Epoch 310/1000, Cost: 5.1286\n", + " and the parameters are [-2.36781131 3.27472333] -4.195892195850184 ;\n", + "Epoch 310/1000, Cost: 4.4741\n", + " and the parameters are [-2.3678204 3.27483758] -4.195842397430936 ;\n", + "Epoch 310/1000, Cost: 3.0005\n", + " and the parameters are [-2.36791332 3.27483437] -4.195836958256343 ;\n", + "Epoch 310/1000, Cost: 3.7310\n", + " and the parameters are [-2.36794446 3.27488961] -4.1958139918294055 ;\n", + "Epoch 310/1000, Cost: 2.1917\n", + " and the parameters are [-2.36790705 3.27494174] -4.195842829957957 ;\n", + "Epoch 310/1000, Cost: 3.5842\n", + " and the parameters are [-2.3678538 3.27501119] -4.195871444322205 ;\n", + "Epoch 310/1000, Cost: 1.8536\n", + " and the parameters are [-2.3678611 3.27503641] -4.195896606954543 ;\n", + "Epoch 310/1000, Cost: 4.9616\n", + " and the parameters are [-2.36792764 3.27500959] -4.195902717004423 ;\n", + "Epoch 310/1000, Cost: 7.6163\n", + " and the parameters are [-2.36801353 3.2748576 ] -4.195970861822906 ;\n", + "Epoch 310/1000, Cost: 2.9930\n", + " and the parameters are [-2.36803934 3.27495079] -4.195936767541981 ;\n", + "Epoch 310/1000, Cost: 5.7906\n", + " and the parameters are [-2.36806131 3.27479091] -4.196062825524421 ;\n", + "Epoch 310/1000, Cost: 2.8498\n", + " and the parameters are [-2.36809331 3.27483391] -4.196050319106618 ;\n", + "Epoch 310/1000, Cost: 3.1426\n", + " and the parameters are [-2.36810969 3.27488062] -4.196053622335192 ;\n", + "Epoch 310/1000, Cost: 4.7872\n", + " and the parameters are [-2.36806138 3.27498191] -4.1960060925975915 ;\n", + "Epoch 310/1000, Cost: 3.1127\n", + " and the parameters are [-2.36810261 3.2749196 ] -4.196072926333536 ;\n", + "Epoch 310/1000, Cost: 1.7783\n", + " and the parameters are [-2.36815676 3.27495993] -4.196053137455188 ;\n", + "Epoch 310/1000, Cost: 3.8211\n", + " and the parameters are [-2.36819079 3.27499242] -4.196043582204731 ;\n", + "Epoch 310/1000, Cost: 1.3807\n", + " and the parameters are [-2.36820019 3.27500202] -4.196072154773121 ;\n", + "Epoch 310/1000, Cost: 2.6285\n", + " and the parameters are [-2.3682228 3.27496283] -4.196132614397451 ;\n", + "Epoch 310/1000, Cost: 4.7258\n", + " and the parameters are [-2.3682846 3.27493617] -4.1961463884756 ;\n", + "Epoch 310/1000, Cost: 1.6088\n", + " and the parameters are [-2.3682855 3.27494401] -4.196181724061117 ;\n", + "Epoch 310/1000, Cost: 2.6602\n", + " and the parameters are [-2.36830346 3.27490532] -4.1962467952931926 ;\n", + "Epoch 310/1000, Cost: 3.7957\n", + " and the parameters are [-2.36823477 3.27506303] -4.196201288473599 ;\n", + "Epoch 310/1000, Cost: 3.8132\n", + " and the parameters are [-2.36816712 3.2751798 ] -4.19619792619999 ;\n", + "Epoch 310/1000, Cost: 2.7571\n", + " and the parameters are [-2.36821616 3.27520051] -4.1962014228239815 ;\n", + "Epoch 310/1000, Cost: 3.5729\n", + " and the parameters are [-2.36818727 3.27519025] -4.1962753867117195 ;\n", + "Epoch 310/1000, Cost: 4.1252\n", + " and the parameters are [-2.36820315 3.27526716] -4.196254701533251 ;\n", + "Epoch 310/1000, Cost: 2.5417\n", + " and the parameters are [-2.3682303 3.27535673] -4.196224338572845 ;\n", + "Epoch 310/1000, Cost: 8.0054\n", + " and the parameters are [-2.36825737 3.27534502] -4.1962193233450655 ;\n", + "Epoch 310/1000, Cost: 1.8350\n", + " and the parameters are [-2.36822724 3.27538292] -4.196253160518268 ;\n", + "Epoch 310/1000, Cost: 1.8060\n", + " and the parameters are [-2.36828389 3.2753987 ] -4.196252387782088 ;\n", + "Epoch 310/1000, Cost: 5.5566\n", + " and the parameters are [-2.36829996 3.27551158] -4.196170847031786 ;\n", + "Epoch 310/1000, Cost: 2.8262\n", + " and the parameters are [-2.3682236 3.27562444] -4.196159449276623 ;\n", + "Epoch 310/1000, Cost: 3.4340\n", + " and the parameters are [-2.36824302 3.27567609] -4.196146771553533 ;\n", + "Epoch 310/1000, Cost: 2.0401\n", + " and the parameters are [-2.36822361 3.27570378] -4.196180486726382 ;\n", + "Epoch 310/1000, Cost: 3.6800\n", + " and the parameters are [-2.36820362 3.27565861] -4.196273757646858 ;\n", + "Epoch 310/1000, Cost: 2.2794\n", + " and the parameters are [-2.36816674 3.27567643] -4.196326245953195 ;\n", + "Epoch 310/1000, Cost: 4.5403\n", + " and the parameters are [-2.36828609 3.27566522] -4.1963153424699104 ;\n", + "Epoch 310/1000, Cost: 2.6250\n", + " and the parameters are [-2.36829348 3.27574452] -4.196302682653122 ;\n", + "Epoch 310/1000, Cost: 4.9243\n", + " and the parameters are [-2.36831749 3.27569275] -4.196375481391365 ;\n", + "Epoch 310/1000, Cost: 5.0994\n", + " and the parameters are [-2.36821822 3.27569758] -4.196444914751143 ;\n", + "Epoch 310/1000, Cost: 3.0642\n", + " and the parameters are [-2.36815949 3.27578231] -4.196449850692253 ;\n", + "Epoch 310/1000, Cost: 6.1087\n", + " and the parameters are [-2.36813776 3.27574869] -4.196493619516803 ;\n", + "Epoch 310/1000, Cost: 1.4678\n", + " and the parameters are [-2.36815345 3.27582021] -4.196463637870575 ;\n", + "Epoch 310/1000, Cost: 4.3493\n", + " and the parameters are [-2.36819695 3.27584279] -4.196480232265697 ;\n", + "Epoch 310/1000, Cost: 7.7412\n", + " and the parameters are [-2.36832329 3.27571684] -4.196537301232644 ;\n", + "Epoch 310/1000, Cost: 2.0674\n", + " and the parameters are [-2.36832664 3.27574905] -4.196547838870609 ;\n", + "Epoch 310/1000, Cost: 6.2257\n", + " and the parameters are [-2.36841225 3.27565413] -4.196609401999154 ;\n", + "Epoch 310/1000, Cost: 5.3287\n", + " and the parameters are [-2.36849198 3.27555442] -4.1966812474949915 ;\n", + "Epoch 310/1000, Cost: 2.8276\n", + " and the parameters are [-2.36853013 3.27562956] -4.196651569678967 ;\n", + "Epoch 310/1000, Cost: 2.9628\n", + " and the parameters are [-2.36854971 3.27567872] -4.19664089705592 ;\n", + "Epoch 310/1000, Cost: 3.3908\n", + " and the parameters are [-2.36857276 3.27562112] -4.196708815707879 ;\n", + "Epoch 310/1000, Cost: 2.7554\n", + " and the parameters are [-2.36856797 3.27564681] -4.196738653298842 ;\n", + "Epoch 310/1000, Cost: 1.8598\n", + " and the parameters are [-2.36856045 3.27572764] -4.196727303095996 ;\n", + "Epoch 310/1000, Cost: 2.2655\n", + " and the parameters are [-2.36854179 3.27582787] -4.196699927453562 ;\n", + "Epoch 310/1000, Cost: 3.2206\n", + " and the parameters are [-2.36848709 3.27587427] -4.1967427656355785 ;\n", + "Epoch 310/1000, Cost: 3.6899\n", + " and the parameters are [-2.36849109 3.27583422] -4.1968236452557655 ;\n", + "Epoch 310/1000, Cost: 3.6717\n", + " and the parameters are [-2.36856518 3.27581789] -4.196855004855907 ;\n", + "Epoch 310/1000, Cost: 3.6811\n", + " and the parameters are [-2.36861044 3.2758099 ] -4.196880724564868 ;\n", + "Epoch 310/1000, Cost: 4.4301\n", + " and the parameters are [-2.36855816 3.27579274] -4.1969526661812235 ;\n", + "Epoch 310/1000, Cost: 3.9798\n", + " and the parameters are [-2.36855894 3.27572845] -4.197045233910257 ;\n", + "Epoch 310/1000, Cost: 5.0405\n", + " and the parameters are [-2.36856162 3.27583451] -4.1969967175023735 ;\n", + "Epoch 310/1000, Cost: 3.0983\n", + " and the parameters are [-2.36855066 3.27588492] -4.197012730715154 ;\n", + "Epoch 310/1000, Cost: 4.1603\n", + " and the parameters are [-2.36846317 3.27598547] -4.197030326981343 ;\n", + "Epoch 310/1000, Cost: 6.0826\n", + " and the parameters are [-2.368413 3.27614954] -4.19695734086099 ;\n", + "Epoch 310/1000, Cost: 3.0412\n", + " and the parameters are [-2.36841574 3.27626866] -4.196916120605783 ;\n", + "Epoch 310/1000, Cost: 3.2251\n", + " and the parameters are [-2.36849548 3.27616393] -4.1969914037287 ;\n", + "Epoch 310/1000, Cost: 5.3403\n", + " and the parameters are [-2.36853217 3.27618425] -4.197006301421962 ;\n", + "Epoch 310/1000, Cost: 5.0116\n", + " and the parameters are [-2.36852938 3.27617575] -4.197057699282188 ;\n", + "Epoch 310/1000, Cost: 3.2366\n", + " and the parameters are [-2.36859926 3.27614176] -4.197087920985417 ;\n", + "Epoch 310/1000, Cost: 2.6324\n", + " and the parameters are [-2.36866228 3.27612526] -4.19711552032946 ;\n", + "Epoch 310/1000, Cost: 4.9201\n", + " and the parameters are [-2.36865205 3.27602441] -4.197240519017909 ;\n", + "Epoch 310/1000, Cost: 5.2619\n", + " and the parameters are [-2.36867631 3.2760174 ] -4.197270632186841 ;\n", + "Epoch 310/1000, Cost: 4.8711\n", + " and the parameters are [-2.3687159 3.27606153] -4.197266221518604 ;\n", + "Epoch 310/1000, Cost: 1.7269\n", + " and the parameters are [-2.36875374 3.27606012] -4.197291622270058 ;\n", + "Epoch 310/1000, Cost: 3.1066\n", + " and the parameters are [-2.36877843 3.27599827] -4.1973590940873695 ;\n", + "Epoch 310/1000, Cost: 3.3011\n", + " and the parameters are [-2.36882891 3.2759542 ] -4.197409738934782 ;\n", + "Epoch 310/1000, Cost: 3.4715\n", + " and the parameters are [-2.3688207 3.27601358] -4.197416846260369 ;\n", + "Epoch 310/1000, Cost: 2.0224\n", + " and the parameters are [-2.36884535 3.27599414] -4.19745862476015 ;\n", + "Epoch 310/1000, Cost: 3.4142\n", + " and the parameters are [-2.36884436 3.2760057 ] -4.1974964281125295 ;\n", + "Epoch 310/1000, Cost: 2.3370\n", + " and the parameters are [-2.3688474 3.27603437] -4.197519788935037 ;\n", + "Epoch 310/1000, Cost: 3.6605\n", + " and the parameters are [-2.36890253 3.27610651] -4.197471192621067 ;\n", + "Epoch 310/1000, Cost: 4.0029\n", + " and the parameters are [-2.36904557 3.27615494] -4.197404202361729 ;\n", + "Epoch 310/1000, Cost: 5.0216\n", + " and the parameters are [-2.3689872 3.27617491] -4.19745631303299 ;\n", + "Epoch 310/1000, Cost: 4.3289\n", + " and the parameters are [-2.36900417 3.27620469] -4.1974640556878 ;\n", + "Epoch 310/1000, Cost: 7.2639\n", + " and the parameters are [-2.36913809 3.27589389] -4.1976409251447935 ;\n", + "Epoch 310/1000, Cost: 2.6636\n", + " and the parameters are [-2.36909792 3.27592027] -4.197688629771325 ;\n", + "Epoch 310/1000, Cost: 7.3322\n", + " and the parameters are [-2.36900446 3.27596231] -4.197725873974093 ;\n", + "Epoch 310/1000, Cost: 5.4004\n", + " and the parameters are [-2.36903909 3.27608886] -4.197679645108802 ;\n", + "Epoch 310/1000, Cost: 3.6762\n", + " and the parameters are [-2.36905181 3.27606114] -4.197743283692027 ;\n", + "Epoch 310/1000, Cost: 2.2746\n", + " and the parameters are [-2.36906651 3.2761145 ] -4.197738302652594 ;\n", + "Epoch 310/1000, Cost: 2.5818\n", + " and the parameters are [-2.36907789 3.27616952] -4.197728040964206 ;\n", + "Epoch 310/1000, Cost: 3.9461\n", + " and the parameters are [-2.36900762 3.27629643] -4.197699667668103 ;\n", + "Epoch 310/1000, Cost: 1.7692\n", + " and the parameters are [-2.36901448 3.27633172] -4.197713785621582 ;\n", + "Epoch 310/1000, Cost: 3.5064\n", + " and the parameters are [-2.36908563 3.27635229] -4.197686958044928 ;\n", + "Epoch 310/1000, Cost: 4.3476\n", + " and the parameters are [-2.3690777 3.27636459] -4.197717179983332 ;\n", + "Epoch 310/1000, Cost: 2.2555\n", + " and the parameters are [-2.36907535 3.27641194] -4.197734437002565 ;\n", + "Epoch 310/1000, Cost: 3.6612\n", + " and the parameters are [-2.36912383 3.27636623] -4.197793676413748 ;\n", + "Epoch 310/1000, Cost: 6.0451\n", + " and the parameters are [-2.36914211 3.27631759] -4.197847742384658 ;\n", + "Epoch 310/1000, Cost: 2.9740\n", + " and the parameters are [-2.36921824 3.27632624] -4.197840768358093 ;\n", + "Epoch 320/1000, Cost: 4.7267\n", + " and the parameters are [-2.39107376 3.30320107] -4.236755319958872 ;\n", + "Epoch 320/1000, Cost: 4.1707\n", + " and the parameters are [-2.39110496 3.30305416] -4.236892842063781 ;\n", + "Epoch 320/1000, Cost: 5.1233\n", + " and the parameters are [-2.3910661 3.30306992] -4.23695626692251 ;\n", + "Epoch 320/1000, Cost: 5.8144\n", + " and the parameters are [-2.39084306 3.30314577] -4.237032963880231 ;\n", + "Epoch 320/1000, Cost: 4.1100\n", + " and the parameters are [-2.39085116 3.3032762 ] -4.236961437909459 ;\n", + "Epoch 320/1000, Cost: 2.7430\n", + " and the parameters are [-2.39085428 3.3032982 ] -4.236998950190541 ;\n", + "Epoch 320/1000, Cost: 2.1438\n", + " and the parameters are [-2.39089605 3.3033272 ] -4.236988484860337 ;\n", + "Epoch 320/1000, Cost: 4.6427\n", + " and the parameters are [-2.39086722 3.30338327] -4.237005580836277 ;\n", + "Epoch 320/1000, Cost: 2.0829\n", + " and the parameters are [-2.39086991 3.30344123] -4.23700256016366 ;\n", + "Epoch 320/1000, Cost: 4.2552\n", + " and the parameters are [-2.3910009 3.30325878] -4.237105028638604 ;\n", + "Epoch 320/1000, Cost: 5.6664\n", + " and the parameters are [-2.39098456 3.30317071] -4.23718992134568 ;\n", + "Epoch 320/1000, Cost: 5.5808\n", + " and the parameters are [-2.39104147 3.30305094] -4.237266876754602 ;\n", + "Epoch 320/1000, Cost: 6.2747\n", + " and the parameters are [-2.39105091 3.30290909] -4.2373891547105025 ;\n", + "Epoch 320/1000, Cost: 1.9824\n", + " and the parameters are [-2.39103559 3.30296766] -4.237402965064991 ;\n", + "Epoch 320/1000, Cost: 2.6939\n", + " and the parameters are [-2.39113892 3.30295775] -4.23740285757448 ;\n", + "Epoch 320/1000, Cost: 2.3381\n", + " and the parameters are [-2.39109007 3.30302012] -4.237431671798507 ;\n", + "Epoch 320/1000, Cost: 2.4100\n", + " and the parameters are [-2.39110554 3.30306358] -4.237434507029621 ;\n", + "Epoch 320/1000, Cost: 3.3904\n", + " and the parameters are [-2.39108058 3.30306863] -4.237494210477518 ;\n", + "Epoch 320/1000, Cost: 2.9908\n", + " and the parameters are [-2.39106802 3.30311131] -4.2375010164975775 ;\n", + "Epoch 320/1000, Cost: 3.8765\n", + " and the parameters are [-2.39106179 3.30321603] -4.237471575158086 ;\n", + "Epoch 320/1000, Cost: 3.6861\n", + " and the parameters are [-2.39105523 3.30324185] -4.237502610838318 ;\n", + "Epoch 320/1000, Cost: 2.2518\n", + " and the parameters are [-2.39109202 3.30323701] -4.237536163897561 ;\n", + "Epoch 320/1000, Cost: 3.8566\n", + " and the parameters are [-2.39109579 3.30328919] -4.2375463147370365 ;\n", + "Epoch 320/1000, Cost: 2.6752\n", + " and the parameters are [-2.39109136 3.30335411] -4.237542712170954 ;\n", + "Epoch 320/1000, Cost: 5.8854\n", + " and the parameters are [-2.39113943 3.30337266] -4.237511971093828 ;\n", + "Epoch 320/1000, Cost: 6.8076\n", + " and the parameters are [-2.39112927 3.3034654 ] -4.237469239674565 ;\n", + "Epoch 320/1000, Cost: 2.7210\n", + " and the parameters are [-2.39112635 3.30343192] -4.23753100825356 ;\n", + "Epoch 320/1000, Cost: 4.9027\n", + " and the parameters are [-2.39110005 3.30344999] -4.237567119155555 ;\n", + "Epoch 320/1000, Cost: 3.8615\n", + " and the parameters are [-2.39117752 3.30341753] -4.237576972336399 ;\n", + "Epoch 320/1000, Cost: 4.3924\n", + " and the parameters are [-2.39115313 3.30339817] -4.237635525367897 ;\n", + "Epoch 320/1000, Cost: 6.1516\n", + " and the parameters are [-2.39130131 3.30327732] -4.237672666913026 ;\n", + "Epoch 320/1000, Cost: 3.6855\n", + " and the parameters are [-2.391251 3.30335791] -4.237670542038053 ;\n", + "Epoch 320/1000, Cost: 3.7184\n", + " and the parameters are [-2.39134519 3.3032429 ] -4.237722323228243 ;\n", + "Epoch 320/1000, Cost: 3.7592\n", + " and the parameters are [-2.39132332 3.30332222] -4.2377137672521785 ;\n", + "Epoch 320/1000, Cost: 2.5853\n", + " and the parameters are [-2.39134548 3.30342351] -4.237680207403128 ;\n", + "Epoch 320/1000, Cost: 6.4625\n", + " and the parameters are [-2.3914155 3.30335057] -4.2377267262497025 ;\n", + "Epoch 320/1000, Cost: 2.9855\n", + " and the parameters are [-2.39142541 3.3033856 ] -4.2377408048349094 ;\n", + "Epoch 320/1000, Cost: 4.2030\n", + " and the parameters are [-2.39148567 3.30346768] -4.237673633393902 ;\n", + "Epoch 320/1000, Cost: 2.5435\n", + " and the parameters are [-2.39150777 3.30346006] -4.237721856630733 ;\n", + "Epoch 320/1000, Cost: 3.5401\n", + " and the parameters are [-2.39155239 3.30347454] -4.237742145908021 ;\n", + "Epoch 320/1000, Cost: 3.6837\n", + " and the parameters are [-2.39159524 3.30341754] -4.23780978555558 ;\n", + "Epoch 320/1000, Cost: 5.1393\n", + " and the parameters are [-2.39167659 3.30332312] -4.237877522853244 ;\n", + "Epoch 320/1000, Cost: 3.7892\n", + " and the parameters are [-2.3917099 3.303331 ] -4.237906091405137 ;\n", + "Epoch 320/1000, Cost: 5.4274\n", + " and the parameters are [-2.39168171 3.30324188] -4.238029900949006 ;\n", + "Epoch 320/1000, Cost: 4.5516\n", + " and the parameters are [-2.39169341 3.30335907] -4.237999494847192 ;\n", + "Epoch 320/1000, Cost: 4.8041\n", + " and the parameters are [-2.3916654 3.30346059] -4.2379463595311035 ;\n", + "Epoch 320/1000, Cost: 4.2723\n", + " and the parameters are [-2.39167679 3.30343736] -4.237989558354888 ;\n", + "Epoch 320/1000, Cost: 3.4026\n", + " and the parameters are [-2.39163865 3.30350466] -4.238015137903398 ;\n", + "Epoch 320/1000, Cost: 5.5256\n", + " and the parameters are [-2.39161756 3.30347906] -4.238065230073546 ;\n", + "Epoch 320/1000, Cost: 4.1285\n", + " and the parameters are [-2.39166219 3.30349384] -4.238066678273086 ;\n", + "Epoch 320/1000, Cost: 3.1777\n", + " and the parameters are [-2.39173823 3.30346928] -4.238070821916957 ;\n", + "Epoch 320/1000, Cost: 3.9023\n", + " and the parameters are [-2.39174063 3.3035105 ] -4.238090684647754 ;\n", + "Epoch 320/1000, Cost: 2.4346\n", + " and the parameters are [-2.39169824 3.30358284] -4.238107055912232 ;\n", + "Epoch 320/1000, Cost: 5.7789\n", + " and the parameters are [-2.39168144 3.30361053] -4.238115303232094 ;\n", + "Epoch 320/1000, Cost: 2.8236\n", + " and the parameters are [-2.39167245 3.30364771] -4.238131675691049 ;\n", + "Epoch 320/1000, Cost: 5.8963\n", + " and the parameters are [-2.39163899 3.30361912] -4.238187769162243 ;\n", + "Epoch 320/1000, Cost: 3.8146\n", + " and the parameters are [-2.39166086 3.30370515] -4.238140296508642 ;\n", + "Epoch 320/1000, Cost: 3.5629\n", + " and the parameters are [-2.39161409 3.30381269] -4.238129342100346 ;\n", + "Epoch 320/1000, Cost: 3.7005\n", + " and the parameters are [-2.39166922 3.3038031 ] -4.238138465570285 ;\n", + "Epoch 320/1000, Cost: 2.7970\n", + " and the parameters are [-2.39164191 3.30393162] -4.238090235356497 ;\n", + "Epoch 320/1000, Cost: 2.9867\n", + " and the parameters are [-2.39158577 3.30405785] -4.238071891757567 ;\n", + "Epoch 320/1000, Cost: 2.6155\n", + " and the parameters are [-2.39152597 3.30412964] -4.238090778285197 ;\n", + "Epoch 320/1000, Cost: 6.1738\n", + " and the parameters are [-2.39157563 3.3041209 ] -4.23808942509516 ;\n", + "Epoch 320/1000, Cost: 3.8293\n", + " and the parameters are [-2.39165982 3.30408869] -4.238112565745972 ;\n", + "Epoch 320/1000, Cost: 2.5022\n", + " and the parameters are [-2.39175701 3.3039965 ] -4.23817259834721 ;\n", + "Epoch 320/1000, Cost: 3.0759\n", + " and the parameters are [-2.39181735 3.3040173 ] -4.238157111116564 ;\n", + "Epoch 320/1000, Cost: 2.5437\n", + " and the parameters are [-2.39187557 3.30394357] -4.238216937132197 ;\n", + "Epoch 320/1000, Cost: 4.1739\n", + " and the parameters are [-2.39187458 3.30407613] -4.238149485016175 ;\n", + "Epoch 320/1000, Cost: 6.7279\n", + " and the parameters are [-2.39196871 3.30399767] -4.238174056045544 ;\n", + "Epoch 320/1000, Cost: 7.1213\n", + " and the parameters are [-2.39194067 3.30406151] -4.23818578390047 ;\n", + "Epoch 320/1000, Cost: 4.5431\n", + " and the parameters are [-2.39189683 3.30409525] -4.238228979458118 ;\n", + "Epoch 320/1000, Cost: 3.8382\n", + " and the parameters are [-2.39184739 3.30413908] -4.238272126034654 ;\n", + "Epoch 320/1000, Cost: 3.0406\n", + " and the parameters are [-2.39187898 3.30421873] -4.238251416381952 ;\n", + "Epoch 320/1000, Cost: 4.7282\n", + " and the parameters are [-2.39196284 3.30414306] -4.238292053323542 ;\n", + "Epoch 320/1000, Cost: 4.0512\n", + " and the parameters are [-2.39191549 3.30420913] -4.238312846557778 ;\n", + "Epoch 320/1000, Cost: 3.3038\n", + " and the parameters are [-2.39189648 3.30419729] -4.238388875333561 ;\n", + "Epoch 320/1000, Cost: 2.5912\n", + " and the parameters are [-2.39191256 3.30428767] -4.238359723334261 ;\n", + "Epoch 320/1000, Cost: 3.5498\n", + " and the parameters are [-2.39189353 3.30421955] -4.238446953891476 ;\n", + "Epoch 320/1000, Cost: 2.0599\n", + " and the parameters are [-2.39185724 3.30429162] -4.23846779020584 ;\n", + "Epoch 320/1000, Cost: 2.1727\n", + " and the parameters are [-2.39187892 3.30432847] -4.23847858436534 ;\n", + "Epoch 320/1000, Cost: 2.0368\n", + " and the parameters are [-2.39189437 3.30438497] -4.238466824460039 ;\n", + "Epoch 320/1000, Cost: 2.0017\n", + " and the parameters are [-2.39194625 3.30439665] -4.238472009783412 ;\n", + "Epoch 320/1000, Cost: 3.5865\n", + " and the parameters are [-2.39202218 3.30443479] -4.2384466129460945 ;\n", + "Epoch 320/1000, Cost: 3.6882\n", + " and the parameters are [-2.39207171 3.30450289] -4.23841512878282 ;\n", + "Epoch 320/1000, Cost: 4.3641\n", + " and the parameters are [-2.39207432 3.30451167] -4.238468121490471 ;\n", + "Epoch 320/1000, Cost: 2.8114\n", + " and the parameters are [-2.392081 3.3046027] -4.238442758010525 ;\n", + "Epoch 320/1000, Cost: 3.2995\n", + " and the parameters are [-2.39215084 3.30468496] -4.238392257015875 ;\n", + "Epoch 320/1000, Cost: 2.7118\n", + " and the parameters are [-2.39213494 3.30475846] -4.238383318974508 ;\n", + "Epoch 320/1000, Cost: 7.5097\n", + " and the parameters are [-2.39207128 3.30471062] -4.238472597198614 ;\n", + "Epoch 320/1000, Cost: 2.4807\n", + " and the parameters are [-2.39203067 3.30481778] -4.238454195487228 ;\n", + "Epoch 320/1000, Cost: 7.0293\n", + " and the parameters are [-2.3920558 3.30474797] -4.238504930149013 ;\n", + "Epoch 320/1000, Cost: 3.6054\n", + " and the parameters are [-2.39204675 3.30478314] -4.2385283122983815 ;\n", + "Epoch 320/1000, Cost: 2.9275\n", + " and the parameters are [-2.39201238 3.30492504] -4.238482191967431 ;\n", + "Epoch 320/1000, Cost: 2.5227\n", + " and the parameters are [-2.39207775 3.30494899] -4.238476597496157 ;\n", + "Epoch 320/1000, Cost: 7.7837\n", + " and the parameters are [-2.39210265 3.30491728] -4.238471226168309 ;\n", + "Epoch 320/1000, Cost: 3.7897\n", + " and the parameters are [-2.39219101 3.30489865] -4.238488616133325 ;\n", + "Epoch 320/1000, Cost: 7.1513\n", + " and the parameters are [-2.39223192 3.30494846] -4.238444813608607 ;\n", + "Epoch 320/1000, Cost: 2.4960\n", + " and the parameters are [-2.392219 3.30496301] -4.238494003134398 ;\n", + "Epoch 320/1000, Cost: 2.0057\n", + " and the parameters are [-2.39219343 3.30498384] -4.238534983628122 ;\n", + "Epoch 320/1000, Cost: 2.5132\n", + " and the parameters are [-2.39218666 3.30497135] -4.238584274099628 ;\n", + "Epoch 320/1000, Cost: 2.5408\n", + " and the parameters are [-2.39222414 3.30506677] -4.238523251302732 ;\n", + "Epoch 320/1000, Cost: 4.5062\n", + " and the parameters are [-2.39222849 3.30508343] -4.238529880750829 ;\n", + "Epoch 320/1000, Cost: 3.5695\n", + " and the parameters are [-2.39214503 3.30516066] -4.238562016136533 ;\n", + "Epoch 320/1000, Cost: 3.6719\n", + " and the parameters are [-2.39217136 3.30518571] -4.2385718354086634 ;\n", + "Epoch 320/1000, Cost: 2.6308\n", + " and the parameters are [-2.39216255 3.30523845] -4.238581367109718 ;\n", + "Epoch 320/1000, Cost: 4.7268\n", + " and the parameters are [-2.39212559 3.30540501] -4.238533257493087 ;\n", + "Epoch 320/1000, Cost: 4.7340\n", + " and the parameters are [-2.39215975 3.30528787] -4.23863877074584 ;\n", + "Epoch 320/1000, Cost: 1.8736\n", + " and the parameters are [-2.39216598 3.30531164] -4.2386599897768 ;\n", + "Epoch 320/1000, Cost: 4.2177\n", + " and the parameters are [-2.39214285 3.30527747] -4.238724540219854 ;\n", + "Epoch 320/1000, Cost: 2.5275\n", + " and the parameters are [-2.39216272 3.30527412] -4.238756696168973 ;\n", + "Epoch 320/1000, Cost: 2.4740\n", + " and the parameters are [-2.39216843 3.30537137] -4.238722915975486 ;\n", + "Epoch 320/1000, Cost: 4.6587\n", + " and the parameters are [-2.39211216 3.30551573] -4.238688559959391 ;\n", + "Epoch 320/1000, Cost: 2.9623\n", + " and the parameters are [-2.3921247 3.30547508] -4.2387480373275475 ;\n", + "Epoch 320/1000, Cost: 1.7257\n", + " and the parameters are [-2.39210967 3.30547513] -4.23880015373278 ;\n", + "Epoch 320/1000, Cost: 1.6483\n", + " and the parameters are [-2.39217218 3.30547367] -4.238813006565272 ;\n", + "Epoch 320/1000, Cost: 3.6738\n", + " and the parameters are [-2.39216493 3.30551608] -4.238818445229811 ;\n", + "Epoch 320/1000, Cost: 3.6110\n", + " and the parameters are [-2.39219046 3.30549745] -4.238862628896531 ;\n", + "Epoch 320/1000, Cost: 5.5924\n", + " and the parameters are [-2.39214 3.30545522] -4.238953236688731 ;\n", + "Epoch 320/1000, Cost: 2.4443\n", + " and the parameters are [-2.39217445 3.30554207] -4.238907305301071 ;\n", + "Epoch 320/1000, Cost: 4.2254\n", + " and the parameters are [-2.39221436 3.30545858] -4.2389939011116855 ;\n", + "Epoch 320/1000, Cost: 2.9773\n", + " and the parameters are [-2.3922652 3.30534574] -4.239090444757078 ;\n", + "Epoch 320/1000, Cost: 3.6982\n", + " and the parameters are [-2.39235586 3.30522332] -4.239175916482901 ;\n", + "Epoch 320/1000, Cost: 2.9989\n", + " and the parameters are [-2.39236445 3.30522659] -4.239218821458807 ;\n", + "Epoch 320/1000, Cost: 3.4846\n", + " and the parameters are [-2.39237038 3.30521013] -4.239267726216396 ;\n", + "Epoch 320/1000, Cost: 5.9139\n", + " and the parameters are [-2.39237645 3.30518776] -4.23931183439575 ;\n", + "Epoch 320/1000, Cost: 3.0597\n", + " and the parameters are [-2.39243019 3.3052222 ] -4.239291989343289 ;\n", + "Epoch 320/1000, Cost: 7.5155\n", + " and the parameters are [-2.39257502 3.30502497] -4.239410681958066 ;\n", + "Epoch 320/1000, Cost: 2.5163\n", + " and the parameters are [-2.39255795 3.30509495] -4.239410519165193 ;\n", + "Epoch 320/1000, Cost: 3.2851\n", + " and the parameters are [-2.39260981 3.305045 ] -4.239477820003417 ;\n", + "Epoch 320/1000, Cost: 2.1496\n", + " and the parameters are [-2.39262633 3.30508927] -4.239480681379076 ;\n", + "Epoch 320/1000, Cost: 2.4806\n", + " and the parameters are [-2.39263719 3.30520458] -4.239432193387762 ;\n", + "Epoch 320/1000, Cost: 3.5581\n", + " and the parameters are [-2.3926861 3.30518031] -4.239465458577283 ;\n", + "Epoch 320/1000, Cost: 5.4937\n", + " and the parameters are [-2.39265832 3.30512801] -4.239543161627527 ;\n", + "Epoch 320/1000, Cost: 3.2494\n", + " and the parameters are [-2.3926791 3.30516338] -4.239566282481935 ;\n", + "Epoch 320/1000, Cost: 2.5839\n", + " and the parameters are [-2.39276248 3.30518771] -4.239553237919682 ;\n", + "Epoch 320/1000, Cost: 4.9100\n", + " and the parameters are [-2.39274574 3.30528387] -4.239514633457696 ;\n", + "Epoch 320/1000, Cost: 3.0523\n", + " and the parameters are [-2.39271878 3.30539905] -4.239482040310716 ;\n", + "Epoch 320/1000, Cost: 3.2861\n", + " and the parameters are [-2.39273283 3.30539883] -4.239517792597737 ;\n", + "Epoch 320/1000, Cost: 2.0574\n", + " and the parameters are [-2.39274969 3.30542501] -4.239536375114816 ;\n", + "Epoch 320/1000, Cost: 3.0266\n", + " and the parameters are [-2.39277877 3.30543883] -4.239558408435522 ;\n", + "Epoch 320/1000, Cost: 3.9650\n", + " and the parameters are [-2.3926825 3.30556318] -4.23955908200293 ;\n", + "Epoch 320/1000, Cost: 3.2738\n", + " and the parameters are [-2.39265104 3.30563131] -4.239578268930969 ;\n", + "Epoch 320/1000, Cost: 3.0902\n", + " and the parameters are [-2.39271216 3.30569006] -4.239543225859382 ;\n", + "Epoch 320/1000, Cost: 2.7151\n", + " and the parameters are [-2.39272009 3.30579981] -4.239504856614822 ;\n", + "Epoch 320/1000, Cost: 1.8541\n", + " and the parameters are [-2.39271457 3.305819 ] -4.239536854454477 ;\n", + "Epoch 320/1000, Cost: 3.5914\n", + " and the parameters are [-2.39273903 3.30577388] -4.239600788039798 ;\n", + "Epoch 320/1000, Cost: 4.4730\n", + " and the parameters are [-2.39274466 3.30585358] -4.239591875341041 ;\n", + "Epoch 320/1000, Cost: 3.2010\n", + " and the parameters are [-2.39274394 3.30583381] -4.239661535612 ;\n", + "Epoch 320/1000, Cost: 1.2204\n", + " and the parameters are [-2.39274402 3.3059165 ] -4.239638420945233 ;\n", + "Epoch 320/1000, Cost: 3.5866\n", + " and the parameters are [-2.39276515 3.30587818] -4.239694089411255 ;\n", + "Epoch 320/1000, Cost: 3.9526\n", + " and the parameters are [-2.39284052 3.30575323] -4.239778201866028 ;\n", + "Epoch 320/1000, Cost: 3.7428\n", + " and the parameters are [-2.3928115 3.3058234] -4.239774710070675 ;\n", + "Epoch 320/1000, Cost: 2.7790\n", + " and the parameters are [-2.39282108 3.30591647] -4.239746119020877 ;\n", + "Epoch 320/1000, Cost: 3.0008\n", + " and the parameters are [-2.39286042 3.3059366 ] -4.239732897039402 ;\n", + "Epoch 320/1000, Cost: 3.3229\n", + " and the parameters are [-2.39282848 3.30593496] -4.239798218047244 ;\n", + "Epoch 320/1000, Cost: 6.0437\n", + " and the parameters are [-2.39277156 3.30602367] -4.23980365165462 ;\n", + "Epoch 320/1000, Cost: 2.4420\n", + " and the parameters are [-2.39268977 3.30620658] -4.239751809619679 ;\n", + "Epoch 320/1000, Cost: 2.2596\n", + " and the parameters are [-2.39272227 3.30627074] -4.239728848293981 ;\n", + "Epoch 320/1000, Cost: 2.5378\n", + " and the parameters are [-2.39269861 3.3063489 ] -4.2397200901453616 ;\n", + "Epoch 320/1000, Cost: 5.4808\n", + " and the parameters are [-2.39277971 3.30629991] -4.239747757301296 ;\n", + "Epoch 320/1000, Cost: 1.3865\n", + " and the parameters are [-2.3927889 3.30634184] -4.239756497032795 ;\n", + "Epoch 320/1000, Cost: 4.9656\n", + " and the parameters are [-2.39288801 3.30639903] -4.239699438455365 ;\n", + "Epoch 320/1000, Cost: 1.4704\n", + " and the parameters are [-2.39288257 3.30647396] -4.239680696398773 ;\n", + "Epoch 320/1000, Cost: 3.1226\n", + " and the parameters are [-2.39288008 3.30653567] -4.239656588170254 ;\n", + "Epoch 320/1000, Cost: 1.8779\n", + " and the parameters are [-2.39289385 3.30655165] -4.239684682997852 ;\n", + "Epoch 320/1000, Cost: 2.8408\n", + " and the parameters are [-2.39293728 3.30658554] -4.239687941693945 ;\n", + "Epoch 320/1000, Cost: 2.4756\n", + " and the parameters are [-2.39296906 3.30664893] -4.239666324294816 ;\n", + "Epoch 320/1000, Cost: 5.4685\n", + " and the parameters are [-2.39300669 3.30644855] -4.239818364045423 ;\n", + "Epoch 320/1000, Cost: 2.8918\n", + " and the parameters are [-2.39303048 3.30642522] -4.2398723018446605 ;\n", + "Epoch 320/1000, Cost: 3.4732\n", + " and the parameters are [-2.39305517 3.30641729] -4.239903844083629 ;\n", + "Epoch 320/1000, Cost: 2.9423\n", + " and the parameters are [-2.39305623 3.30649313] -4.239902455211318 ;\n", + "Epoch 320/1000, Cost: 5.1762\n", + " and the parameters are [-2.39296924 3.30661103] -4.239888221700215 ;\n", + "Epoch 320/1000, Cost: 4.5228\n", + " and the parameters are [-2.3929234 3.30655206] -4.239987330774597 ;\n", + "Epoch 320/1000, Cost: 4.1283\n", + " and the parameters are [-2.39295464 3.30651129] -4.240049858226628 ;\n", + "Epoch 320/1000, Cost: 5.6636\n", + " and the parameters are [-2.39303073 3.30654082] -4.240017163156454 ;\n", + "Epoch 320/1000, Cost: 2.2156\n", + " and the parameters are [-2.39303244 3.3065847 ] -4.240031865147457 ;\n", + "Epoch 320/1000, Cost: 5.4111\n", + " and the parameters are [-2.39295764 3.30668191] -4.239982540111748 ;\n", + "Epoch 320/1000, Cost: 2.8013\n", + " and the parameters are [-2.39299427 3.30667703] -4.240022080135364 ;\n", + "Epoch 320/1000, Cost: 3.6761\n", + " and the parameters are [-2.39304033 3.30667698] -4.240034854555729 ;\n", + "Epoch 320/1000, Cost: 3.1404\n", + " and the parameters are [-2.39307567 3.30672234] -4.240013017769145 ;\n", + "Epoch 320/1000, Cost: 6.0688\n", + " and the parameters are [-2.39312104 3.30671881] -4.240030207020091 ;\n", + "Epoch 320/1000, Cost: 1.4172\n", + " and the parameters are [-2.39310383 3.30677624] -4.240031533502042 ;\n", + "Epoch 320/1000, Cost: 2.3460\n", + " and the parameters are [-2.39311407 3.30680708] -4.240047318132649 ;\n", + "Epoch 320/1000, Cost: 0.9730\n", + " and the parameters are [-2.39311981 3.30684954] -4.240046539495311 ;\n", + "Epoch 320/1000, Cost: 2.1040\n", + " and the parameters are [-2.39320677 3.30678306] -4.240082222917622 ;\n", + "Epoch 320/1000, Cost: 3.4981\n", + " and the parameters are [-2.39315563 3.30684194] -4.240104475740272 ;\n", + "Epoch 320/1000, Cost: 4.4081\n", + " and the parameters are [-2.39322162 3.30673073] -4.240181650416151 ;\n", + "Epoch 320/1000, Cost: 2.9447\n", + " and the parameters are [-2.39318582 3.30678498] -4.240209733749892 ;\n", + "Epoch 320/1000, Cost: 4.6748\n", + " and the parameters are [-2.39310143 3.30676669] -4.240281024016675 ;\n", + "Epoch 320/1000, Cost: 3.2724\n", + " and the parameters are [-2.39306075 3.30686643] -4.2402749764829775 ;\n", + "Epoch 320/1000, Cost: 4.8779\n", + " and the parameters are [-2.3931376 3.30668469] -4.240408190705052 ;\n", + "Epoch 320/1000, Cost: 3.5209\n", + " and the parameters are [-2.39321181 3.3066684 ] -4.240434866030572 ;\n", + "Epoch 320/1000, Cost: 3.5287\n", + " and the parameters are [-2.39320553 3.30667221] -4.240491675743188 ;\n", + "Epoch 320/1000, Cost: 9.5361\n", + " and the parameters are [-2.39334175 3.30634204] -4.240657217303646 ;\n", + "Epoch 320/1000, Cost: 3.8737\n", + " and the parameters are [-2.39334407 3.30627619] -4.240741397754769 ;\n", + "Epoch 320/1000, Cost: 2.8554\n", + " and the parameters are [-2.39345066 3.30619175] -4.240785980190446 ;\n", + "Epoch 320/1000, Cost: 2.7122\n", + " and the parameters are [-2.39340561 3.3062784 ] -4.240786956356963 ;\n", + "Epoch 320/1000, Cost: 3.3353\n", + " and the parameters are [-2.39347609 3.30620442] -4.240841888398101 ;\n", + "Epoch 320/1000, Cost: 5.6490\n", + " and the parameters are [-2.39357888 3.30603147] -4.2409551817151785 ;\n", + "Epoch 320/1000, Cost: 4.6407\n", + " and the parameters are [-2.39350444 3.30601938] -4.241035019899408 ;\n", + "Epoch 330/1000, Cost: 3.2772\n", + " and the parameters are [-2.41474801 3.33213439] -4.278866669793085 ;\n", + "Epoch 330/1000, Cost: 1.0618\n", + " and the parameters are [-2.41472808 3.33217974] -4.278878670086098 ;\n", + "Epoch 330/1000, Cost: 4.9959\n", + " and the parameters are [-2.41467509 3.33231383] -4.278845282009216 ;\n", + "Epoch 330/1000, Cost: 4.0733\n", + " and the parameters are [-2.41461104 3.33239548] -4.278867465814208 ;\n", + "Epoch 330/1000, Cost: 3.6293\n", + " and the parameters are [-2.41466534 3.33242631] -4.278867010263363 ;\n", + "Epoch 330/1000, Cost: 2.9721\n", + " and the parameters are [-2.4146384 3.33247527] -4.278891705507856 ;\n", + "Epoch 330/1000, Cost: 4.5438\n", + " and the parameters are [-2.41467436 3.33253159] -4.278864438250715 ;\n", + "Epoch 330/1000, Cost: 2.9837\n", + " and the parameters are [-2.41472827 3.33255782] -4.2788699060729805 ;\n", + "Epoch 330/1000, Cost: 1.2943\n", + " and the parameters are [-2.41472272 3.33256838] -4.278902568626781 ;\n", + "Epoch 330/1000, Cost: 4.5002\n", + " and the parameters are [-2.41467378 3.33270341] -4.278830193899121 ;\n", + "Epoch 330/1000, Cost: 3.9797\n", + " and the parameters are [-2.41474836 3.33259185] -4.278902696359589 ;\n", + "Epoch 330/1000, Cost: 3.8564\n", + " and the parameters are [-2.41471236 3.33273433] -4.278862028337587 ;\n", + "Epoch 330/1000, Cost: 4.6240\n", + " and the parameters are [-2.41471207 3.33262059] -4.2789796566242195 ;\n", + "Epoch 330/1000, Cost: 6.0242\n", + " and the parameters are [-2.41483456 3.33265163] -4.278901299563505 ;\n", + "Epoch 330/1000, Cost: 7.0976\n", + " and the parameters are [-2.41498718 3.33255962] -4.278900709576241 ;\n", + "Epoch 330/1000, Cost: 4.2074\n", + " and the parameters are [-2.41496218 3.33261796] -4.278915095082477 ;\n", + "Epoch 330/1000, Cost: 4.4204\n", + " and the parameters are [-2.41500548 3.33255794] -4.278978319842466 ;\n", + "Epoch 330/1000, Cost: 3.5272\n", + " and the parameters are [-2.41499649 3.33252651] -4.279049070524309 ;\n", + "Epoch 330/1000, Cost: 4.6619\n", + " and the parameters are [-2.41509593 3.33244748] -4.279074068389608 ;\n", + "Epoch 330/1000, Cost: 6.1200\n", + " and the parameters are [-2.41499528 3.33244055] -4.27914397345071 ;\n", + "Epoch 330/1000, Cost: 3.7966\n", + " and the parameters are [-2.41502733 3.33244137] -4.279169077219889 ;\n", + "Epoch 330/1000, Cost: 2.8664\n", + " and the parameters are [-2.41504602 3.33242589] -4.27920612467191 ;\n", + "Epoch 330/1000, Cost: 4.4464\n", + " and the parameters are [-2.41499768 3.33238458] -4.279271172196311 ;\n", + "Epoch 330/1000, Cost: 3.5845\n", + " and the parameters are [-2.41498447 3.33228721] -4.279375554424663 ;\n", + "Epoch 330/1000, Cost: 2.3729\n", + " and the parameters are [-2.41502337 3.33233514] -4.279354107271708 ;\n", + "Epoch 330/1000, Cost: 2.0242\n", + " and the parameters are [-2.41502594 3.33243085] -4.279325583884464 ;\n", + "Epoch 330/1000, Cost: 4.3509\n", + " and the parameters are [-2.41503301 3.33238885] -4.279400014308108 ;\n", + "Epoch 330/1000, Cost: 1.6715\n", + " and the parameters are [-2.41504487 3.33243116] -4.279405888515528 ;\n", + "Epoch 330/1000, Cost: 1.9269\n", + " and the parameters are [-2.41504945 3.33246649] -4.279415580047565 ;\n", + "Epoch 330/1000, Cost: 2.1882\n", + " and the parameters are [-2.41503017 3.33253493] -4.279420955961607 ;\n", + "Epoch 330/1000, Cost: 1.4126\n", + " and the parameters are [-2.41507418 3.33251927] -4.279451557034265 ;\n", + "Epoch 330/1000, Cost: 2.4827\n", + " and the parameters are [-2.41510113 3.33262183] -4.27940670295389 ;\n", + "Epoch 330/1000, Cost: 4.9265\n", + " and the parameters are [-2.41513889 3.33260296] -4.279454643442834 ;\n", + "Epoch 330/1000, Cost: 9.1482\n", + " and the parameters are [-2.41508942 3.33260321] -4.279498414121047 ;\n", + "Epoch 330/1000, Cost: 5.7003\n", + " and the parameters are [-2.4150425 3.33264762] -4.279514718988675 ;\n", + "Epoch 330/1000, Cost: 1.0626\n", + " and the parameters are [-2.41502783 3.3326717 ] -4.27953724471453 ;\n", + "Epoch 330/1000, Cost: 3.7273\n", + " and the parameters are [-2.41499022 3.3327841 ] -4.2795173525766605 ;\n", + "Epoch 330/1000, Cost: 2.7064\n", + " and the parameters are [-2.41497403 3.33276455] -4.279598824857909 ;\n", + "Epoch 330/1000, Cost: 3.7981\n", + " and the parameters are [-2.41498627 3.33282362] -4.279589187819174 ;\n", + "Epoch 330/1000, Cost: 2.9495\n", + " and the parameters are [-2.415037 3.33283634] -4.279595317620663 ;\n", + "Epoch 330/1000, Cost: 7.1371\n", + " and the parameters are [-2.41498025 3.33286928] -4.279588658369486 ;\n", + "Epoch 330/1000, Cost: 3.4917\n", + " and the parameters are [-2.41500707 3.332814 ] -4.2796570732429 ;\n", + "Epoch 330/1000, Cost: 3.8178\n", + " and the parameters are [-2.41505571 3.33281665] -4.279665341473676 ;\n", + "Epoch 330/1000, Cost: 5.1214\n", + " and the parameters are [-2.41506574 3.33285192] -4.2796659857474175 ;\n", + "Epoch 330/1000, Cost: 7.2123\n", + " and the parameters are [-2.41515756 3.33282954] -4.2796368499805 ;\n", + "Epoch 330/1000, Cost: 3.7823\n", + " and the parameters are [-2.41516532 3.33282943] -4.279661945672604 ;\n", + "Epoch 330/1000, Cost: 4.5205\n", + " and the parameters are [-2.41521944 3.33271742] -4.2797597880122416 ;\n", + "Epoch 330/1000, Cost: 5.2063\n", + " and the parameters are [-2.41526776 3.33264918] -4.279814520984451 ;\n", + "Epoch 330/1000, Cost: 2.3783\n", + " and the parameters are [-2.41525532 3.33276086] -4.27978652761869 ;\n", + "Epoch 330/1000, Cost: 3.5908\n", + " and the parameters are [-2.41524516 3.33292072] -4.279724220454097 ;\n", + "Epoch 330/1000, Cost: 0.7578\n", + " and the parameters are [-2.41526142 3.33293704] -4.279728926619891 ;\n", + "Epoch 330/1000, Cost: 3.1854\n", + " and the parameters are [-2.41538668 3.33291544] -4.279694375210234 ;\n", + "Epoch 330/1000, Cost: 4.5785\n", + " and the parameters are [-2.41543617 3.33282819] -4.2798041574205135 ;\n", + "Epoch 330/1000, Cost: 4.8163\n", + " and the parameters are [-2.41549622 3.33275655] -4.2798599357625315 ;\n", + "Epoch 330/1000, Cost: 2.7160\n", + " and the parameters are [-2.41551993 3.33280282] -4.279858033820026 ;\n", + "Epoch 330/1000, Cost: 1.7715\n", + " and the parameters are [-2.4155141 3.33283809] -4.279870873178135 ;\n", + "Epoch 330/1000, Cost: 4.7998\n", + " and the parameters are [-2.41554786 3.33292029] -4.2798245159345125 ;\n", + "Epoch 330/1000, Cost: 2.3646\n", + " and the parameters are [-2.41555479 3.33304099] -4.279777303727493 ;\n", + "Epoch 330/1000, Cost: 4.7366\n", + " and the parameters are [-2.41563472 3.33307055] -4.279757646550719 ;\n", + "Epoch 330/1000, Cost: 2.2843\n", + " and the parameters are [-2.41563983 3.33312467] -4.279765165113369 ;\n", + "Epoch 330/1000, Cost: 2.2184\n", + " and the parameters are [-2.41569424 3.33313738] -4.2797794808866385 ;\n", + "Epoch 330/1000, Cost: 3.0335\n", + " and the parameters are [-2.4157176 3.33312265] -4.279817467649729 ;\n", + "Epoch 330/1000, Cost: 9.2271\n", + " and the parameters are [-2.41581627 3.33284028] -4.27997762314507 ;\n", + "Epoch 330/1000, Cost: 2.3718\n", + " and the parameters are [-2.4158695 3.33278623] -4.280035344871541 ;\n", + "Epoch 330/1000, Cost: 3.4393\n", + " and the parameters are [-2.41585861 3.33288244] -4.280001746046078 ;\n", + "Epoch 330/1000, Cost: 4.0299\n", + " and the parameters are [-2.4158996 3.33286389] -4.280042020507139 ;\n", + "Epoch 330/1000, Cost: 1.5417\n", + " and the parameters are [-2.41588976 3.33293408] -4.280031750039228 ;\n", + "Epoch 330/1000, Cost: 3.4748\n", + " and the parameters are [-2.415862 3.3328932] -4.280090858418749 ;\n", + "Epoch 330/1000, Cost: 2.0859\n", + " and the parameters are [-2.41586705 3.33291759] -4.280121780219573 ;\n", + "Epoch 330/1000, Cost: 4.2109\n", + " and the parameters are [-2.41587042 3.33292401] -4.280168658875993 ;\n", + "Epoch 330/1000, Cost: 3.5441\n", + " and the parameters are [-2.4159138 3.33291374] -4.280197239979022 ;\n", + "Epoch 330/1000, Cost: 3.6196\n", + " and the parameters are [-2.41598992 3.3328944 ] -4.280203520497617 ;\n", + "Epoch 330/1000, Cost: 4.8849\n", + " and the parameters are [-2.41589832 3.33300732] -4.280206589800546 ;\n", + "Epoch 330/1000, Cost: 5.8891\n", + " and the parameters are [-2.41600759 3.33283818] -4.280298103195003 ;\n", + "Epoch 330/1000, Cost: 3.1042\n", + " and the parameters are [-2.41596723 3.33278959] -4.280386963545592 ;\n", + "Epoch 330/1000, Cost: 3.4260\n", + " and the parameters are [-2.41601473 3.3328159 ] -4.2803816558972665 ;\n", + "Epoch 330/1000, Cost: 3.0634\n", + " and the parameters are [-2.4159547 3.33296826] -4.280350427834676 ;\n", + "Epoch 330/1000, Cost: 4.1504\n", + " and the parameters are [-2.41595386 3.33316414] -4.280248751699227 ;\n", + "Epoch 330/1000, Cost: 1.2646\n", + " and the parameters are [-2.4159713 3.33318162] -4.280265480594011 ;\n", + "Epoch 330/1000, Cost: 2.6336\n", + " and the parameters are [-2.41600215 3.33328647] -4.280203788067417 ;\n", + "Epoch 330/1000, Cost: 6.0084\n", + " and the parameters are [-2.41605182 3.33316635] -4.280299681795271 ;\n", + "Epoch 330/1000, Cost: 5.3373\n", + " and the parameters are [-2.41616766 3.33301663] -4.280380466330076 ;\n", + "Epoch 330/1000, Cost: 5.6489\n", + " and the parameters are [-2.4161333 3.33313699] -4.280322647104607 ;\n", + "Epoch 330/1000, Cost: 5.7772\n", + " and the parameters are [-2.41610381 3.33321093] -4.280303198952566 ;\n", + "Epoch 330/1000, Cost: 3.0183\n", + " and the parameters are [-2.41612741 3.33323077] -4.2803362709932005 ;\n", + "Epoch 330/1000, Cost: 2.6608\n", + " and the parameters are [-2.41612848 3.33328784] -4.280333803093446 ;\n", + "Epoch 330/1000, Cost: 3.3791\n", + " and the parameters are [-2.41615512 3.33322389] -4.280398704415473 ;\n", + "Epoch 330/1000, Cost: 3.0779\n", + " and the parameters are [-2.41623012 3.33320368] -4.280405681878031 ;\n", + "Epoch 330/1000, Cost: 2.2894\n", + " and the parameters are [-2.41622438 3.33329016] -4.280388167642627 ;\n", + "Epoch 330/1000, Cost: 4.1978\n", + " and the parameters are [-2.41631144 3.33312799] -4.280488929246707 ;\n", + "Epoch 330/1000, Cost: 2.4148\n", + " and the parameters are [-2.41629207 3.33314305] -4.280536579480662 ;\n", + "Epoch 330/1000, Cost: 3.8147\n", + " and the parameters are [-2.41626585 3.33309106] -4.280613427373271 ;\n", + "Epoch 330/1000, Cost: 4.8686\n", + " and the parameters are [-2.41632035 3.33305052] -4.280672245950833 ;\n", + "Epoch 330/1000, Cost: 3.9092\n", + " and the parameters are [-2.4162882 3.33311143] -4.28070477431041 ;\n", + "Epoch 330/1000, Cost: 6.0458\n", + " and the parameters are [-2.41626228 3.3331295 ] -4.280741712952635 ;\n", + "Epoch 330/1000, Cost: 3.9847\n", + " and the parameters are [-2.41633729 3.33303372] -4.2808051658674895 ;\n", + "Epoch 330/1000, Cost: 3.9807\n", + " and the parameters are [-2.41640505 3.33290331] -4.280920056988532 ;\n", + "Epoch 330/1000, Cost: 1.6435\n", + " and the parameters are [-2.41639546 3.33294233] -4.2809314653069634 ;\n", + "Epoch 330/1000, Cost: 8.4893\n", + " and the parameters are [-2.41632098 3.33290856] -4.280975092085056 ;\n", + "Epoch 330/1000, Cost: 8.4268\n", + " and the parameters are [-2.41640146 3.33279074] -4.2810001630575005 ;\n", + "Epoch 330/1000, Cost: 4.5684\n", + " and the parameters are [-2.41643913 3.33277107] -4.281028473950657 ;\n", + "Epoch 330/1000, Cost: 4.3206\n", + " and the parameters are [-2.41655348 3.33275941] -4.281018551062418 ;\n", + "Epoch 330/1000, Cost: 1.7289\n", + " and the parameters are [-2.41652461 3.33283821] -4.281017895429685 ;\n", + "Epoch 330/1000, Cost: 2.1337\n", + " and the parameters are [-2.41652216 3.33288044] -4.281031690320728 ;\n", + "Epoch 330/1000, Cost: 4.4018\n", + " and the parameters are [-2.41644789 3.33289567] -4.281113237100192 ;\n", + "Epoch 330/1000, Cost: 3.8234\n", + " and the parameters are [-2.41642824 3.33289121] -4.2811687118203965 ;\n", + "Epoch 330/1000, Cost: 2.4689\n", + " and the parameters are [-2.41643544 3.33300188] -4.281128038694603 ;\n", + "Epoch 330/1000, Cost: 5.7528\n", + " and the parameters are [-2.41650108 3.33296866] -4.281168154965807 ;\n", + "Epoch 330/1000, Cost: 4.1940\n", + " and the parameters are [-2.41640768 3.33307623] -4.281181901617267 ;\n", + "Epoch 330/1000, Cost: 1.8292\n", + " and the parameters are [-2.41642334 3.3330404 ] -4.281241439737798 ;\n", + "Epoch 330/1000, Cost: 3.0723\n", + " and the parameters are [-2.41654284 3.33292797] -4.281305014404778 ;\n", + "Epoch 330/1000, Cost: 8.8531\n", + " and the parameters are [-2.41655979 3.33277265] -4.281419389284698 ;\n", + "Epoch 330/1000, Cost: 2.2604\n", + " and the parameters are [-2.41660019 3.33272575] -4.281475385808767 ;\n", + "Epoch 330/1000, Cost: 2.7433\n", + " and the parameters are [-2.41661526 3.33270798] -4.28153283345209 ;\n", + "Epoch 330/1000, Cost: 2.9587\n", + " and the parameters are [-2.41659682 3.33278534] -4.28154505318202 ;\n", + "Epoch 330/1000, Cost: 4.9324\n", + " and the parameters are [-2.41655385 3.3328395 ] -4.281572009835387 ;\n", + "Epoch 330/1000, Cost: 1.7038\n", + " and the parameters are [-2.4165558 3.33289933] -4.281567373759063 ;\n", + "Epoch 330/1000, Cost: 2.9016\n", + " and the parameters are [-2.4165682 3.33299692] -4.281523725808862 ;\n", + "Epoch 330/1000, Cost: 3.4305\n", + " and the parameters are [-2.41657656 3.33299848] -4.281557602297402 ;\n", + "Epoch 330/1000, Cost: 2.3479\n", + " and the parameters are [-2.41656008 3.33302973] -4.281589119270406 ;\n", + "Epoch 330/1000, Cost: 2.4266\n", + " and the parameters are [-2.41654441 3.33308652] -4.281602078962984 ;\n", + "Epoch 330/1000, Cost: 3.4090\n", + " and the parameters are [-2.41661984 3.33305776] -4.28161514804533 ;\n", + "Epoch 330/1000, Cost: 4.5025\n", + " and the parameters are [-2.41670486 3.3329415 ] -4.281680709740624 ;\n", + "Epoch 330/1000, Cost: 3.1885\n", + " and the parameters are [-2.41667864 3.33301237] -4.2816902041729685 ;\n", + "Epoch 330/1000, Cost: 4.1181\n", + " and the parameters are [-2.41669572 3.33294537] -4.2817786921157195 ;\n", + "Epoch 330/1000, Cost: 2.4443\n", + " and the parameters are [-2.41659847 3.33298303] -4.281830612137863 ;\n", + "Epoch 330/1000, Cost: 2.1388\n", + " and the parameters are [-2.41659802 3.33300623] -4.281852114922339 ;\n", + "Epoch 330/1000, Cost: 2.6516\n", + " and the parameters are [-2.41668265 3.33301595] -4.28184327270773 ;\n", + "Epoch 330/1000, Cost: 3.3356\n", + " and the parameters are [-2.41668066 3.33311318] -4.2817892093164085 ;\n", + "Epoch 330/1000, Cost: 1.4490\n", + " and the parameters are [-2.41667974 3.33311821] -4.28182613728622 ;\n", + "Epoch 330/1000, Cost: 3.7043\n", + " and the parameters are [-2.41664134 3.33316598] -4.281855816214538 ;\n", + "Epoch 330/1000, Cost: 5.5375\n", + " and the parameters are [-2.41667389 3.33298942] -4.282001444866272 ;\n", + "Epoch 330/1000, Cost: 2.6365\n", + " and the parameters are [-2.41664426 3.33304649] -4.281990841117533 ;\n", + "Epoch 330/1000, Cost: 2.1519\n", + " and the parameters are [-2.41664529 3.33309387] -4.281997858334762 ;\n", + "Epoch 330/1000, Cost: 3.8647\n", + " and the parameters are [-2.41665576 3.33313733] -4.2820175161136085 ;\n", + "Epoch 330/1000, Cost: 4.0586\n", + " and the parameters are [-2.41659975 3.33314966] -4.282081237195224 ;\n", + "Epoch 330/1000, Cost: 3.3606\n", + " and the parameters are [-2.41663641 3.33317083] -4.282091827495598 ;\n", + "Epoch 330/1000, Cost: 1.9199\n", + " and the parameters are [-2.41664708 3.33321469] -4.282099251744253 ;\n", + "Epoch 330/1000, Cost: 2.6080\n", + " and the parameters are [-2.41672072 3.33322003] -4.282108517403989 ;\n", + "Epoch 330/1000, Cost: 2.0789\n", + " and the parameters are [-2.41674249 3.33326916] -4.282097557081498 ;\n", + "Epoch 330/1000, Cost: 3.9722\n", + " and the parameters are [-2.41679006 3.33328211] -4.282106955221841 ;\n", + "Epoch 330/1000, Cost: 3.6911\n", + " and the parameters are [-2.41684449 3.33332625] -4.282093474375526 ;\n", + "Epoch 330/1000, Cost: 4.6981\n", + " and the parameters are [-2.41684416 3.33335234] -4.282116448155043 ;\n", + "Epoch 330/1000, Cost: 2.5803\n", + " and the parameters are [-2.41690141 3.33331478] -4.282157467847592 ;\n", + "Epoch 330/1000, Cost: 2.6402\n", + " and the parameters are [-2.41685986 3.33329896] -4.282234291240421 ;\n", + "Epoch 330/1000, Cost: 2.2967\n", + " and the parameters are [-2.4169173 3.33327565] -4.282252879288018 ;\n", + "Epoch 330/1000, Cost: 3.3584\n", + " and the parameters are [-2.4169098 3.3332892] -4.282283156899151 ;\n", + "Epoch 330/1000, Cost: 3.2970\n", + " and the parameters are [-2.41700554 3.33322738] -4.282323301440988 ;\n", + "Epoch 330/1000, Cost: 8.9025\n", + " and the parameters are [-2.41687328 3.3333151 ] -4.282317205082339 ;\n", + "Epoch 330/1000, Cost: 2.6260\n", + " and the parameters are [-2.41693544 3.33323947] -4.282381331334239 ;\n", + "Epoch 330/1000, Cost: 2.7301\n", + " and the parameters are [-2.41688134 3.33330516] -4.28241157693305 ;\n", + "Epoch 330/1000, Cost: 3.1031\n", + " and the parameters are [-2.4169871 3.33329492] -4.282406764957481 ;\n", + "Epoch 330/1000, Cost: 2.4766\n", + " and the parameters are [-2.41699882 3.33341264] -4.282352626007189 ;\n", + "Epoch 330/1000, Cost: 2.5418\n", + " and the parameters are [-2.41706059 3.33345587] -4.282332594999133 ;\n", + "Epoch 330/1000, Cost: 4.8333\n", + " and the parameters are [-2.41712434 3.33346343] -4.282324605826956 ;\n", + "Epoch 330/1000, Cost: 5.3942\n", + " and the parameters are [-2.41702874 3.33346536] -4.282415713266727 ;\n", + "Epoch 330/1000, Cost: 3.0485\n", + " and the parameters are [-2.41697219 3.33350377] -4.282468095501405 ;\n", + "Epoch 330/1000, Cost: 8.5259\n", + " and the parameters are [-2.41699812 3.33344936] -4.2824854009262525 ;\n", + "Epoch 330/1000, Cost: 5.0197\n", + " and the parameters are [-2.41701518 3.33354448] -4.282435877638812 ;\n", + "Epoch 330/1000, Cost: 3.0576\n", + " and the parameters are [-2.4169967 3.3336807] -4.282391365428636 ;\n", + "Epoch 330/1000, Cost: 5.7817\n", + " and the parameters are [-2.41698879 3.33357069] -4.2825055496427975 ;\n", + "Epoch 330/1000, Cost: 2.8608\n", + " and the parameters are [-2.41700144 3.33367962] -4.2824655866969294 ;\n", + "Epoch 330/1000, Cost: 3.4214\n", + " and the parameters are [-2.41698491 3.33375141] -4.282464317460644 ;\n", + "Epoch 330/1000, Cost: 2.5742\n", + " and the parameters are [-2.41699361 3.3338523 ] -4.282437738453299 ;\n", + "Epoch 330/1000, Cost: 2.3321\n", + " and the parameters are [-2.4169522 3.33390894] -4.282457915094497 ;\n", + "Epoch 330/1000, Cost: 2.9771\n", + " and the parameters are [-2.41700481 3.33393518] -4.282460481458872 ;\n", + "Epoch 330/1000, Cost: 1.4221\n", + " and the parameters are [-2.41701168 3.33396783] -4.282473852146403 ;\n", + "Epoch 330/1000, Cost: 2.5136\n", + " and the parameters are [-2.41698969 3.33409868] -4.2824324679270624 ;\n", + "Epoch 330/1000, Cost: 4.4364\n", + " and the parameters are [-2.41694305 3.33424672] -4.282365764300869 ;\n", + "Epoch 330/1000, Cost: 3.3873\n", + " and the parameters are [-2.41689673 3.33418051] -4.282475830076146 ;\n", + "Epoch 330/1000, Cost: 2.3191\n", + " and the parameters are [-2.41690085 3.33420028] -4.28249619426882 ;\n", + "Epoch 330/1000, Cost: 3.2176\n", + " and the parameters are [-2.41692736 3.33423834] -4.282490316040655 ;\n", + "Epoch 330/1000, Cost: 2.2134\n", + " and the parameters are [-2.41698863 3.33422213] -4.282509605343604 ;\n", + "Epoch 330/1000, Cost: 2.2049\n", + " and the parameters are [-2.41700175 3.33426941] -4.2825023096492005 ;\n", + "Epoch 330/1000, Cost: 2.8921\n", + " and the parameters are [-2.41705282 3.33423552] -4.282549986363621 ;\n", + "Epoch 330/1000, Cost: 4.3745\n", + " and the parameters are [-2.41707519 3.33429713] -4.282545275902107 ;\n", + "Epoch 330/1000, Cost: 4.0337\n", + " and the parameters are [-2.41711516 3.33439604] -4.282487189565959 ;\n", + "Epoch 330/1000, Cost: 2.4077\n", + " and the parameters are [-2.41705243 3.33445303] -4.2825154220335495 ;\n", + "Epoch 330/1000, Cost: 5.9025\n", + " and the parameters are [-2.41710782 3.33452043] -4.282478249062236 ;\n", + "Epoch 330/1000, Cost: 2.7183\n", + " and the parameters are [-2.41708707 3.33453058] -4.282522762598562 ;\n", + "Epoch 330/1000, Cost: 5.4916\n", + " and the parameters are [-2.41706834 3.33449965] -4.282593140366965 ;\n", + "Epoch 330/1000, Cost: 1.4581\n", + " and the parameters are [-2.41707891 3.33453838] -4.282599436264465 ;\n", + "Epoch 330/1000, Cost: 4.0023\n", + " and the parameters are [-2.41703939 3.33463728] -4.282579055455443 ;\n", + "Epoch 330/1000, Cost: 3.2503\n", + " and the parameters are [-2.41710135 3.33472854] -4.282524872181962 ;\n", + "Epoch 330/1000, Cost: 8.2842\n", + " and the parameters are [-2.41710635 3.33468306] -4.28254698060908 ;\n", + "Epoch 330/1000, Cost: 4.6201\n", + " and the parameters are [-2.41707971 3.33477548] -4.2825363408707195 ;\n", + "Epoch 330/1000, Cost: 1.6337\n", + " and the parameters are [-2.41705282 3.33479639] -4.282569076897568 ;\n", + "Epoch 330/1000, Cost: 3.0787\n", + " and the parameters are [-2.41702327 3.33480065] -4.28264334821199 ;\n", + "Epoch 330/1000, Cost: 2.6625\n", + " and the parameters are [-2.41706846 3.33477773] -4.282664374827788 ;\n", + "Epoch 330/1000, Cost: 3.7879\n", + " and the parameters are [-2.41703021 3.33488063] -4.282638714259957 ;\n", + "Epoch 330/1000, Cost: 2.2335\n", + " and the parameters are [-2.41704638 3.33487624] -4.282680463530465 ;\n", + "Epoch 330/1000, Cost: 4.2315\n", + " and the parameters are [-2.41707395 3.33486442] -4.2827293342154915 ;\n", + "Epoch 330/1000, Cost: 2.8254\n", + " and the parameters are [-2.4170459 3.33490382] -4.282768541944015 ;\n", + "Epoch 330/1000, Cost: 5.1575\n", + " and the parameters are [-2.41714798 3.33479306] -4.282827345227662 ;\n", + "Epoch 330/1000, Cost: 3.1906\n", + " and the parameters are [-2.4170338 3.33492697] -4.2828228638418455 ;\n", + "Epoch 330/1000, Cost: 3.1057\n", + " and the parameters are [-2.41707353 3.33493875] -4.282847338376251 ;\n", + "Epoch 330/1000, Cost: 5.0825\n", + " and the parameters are [-2.41702607 3.33506075] -4.282807613637575 ;\n", + "Epoch 330/1000, Cost: 4.5932\n", + " and the parameters are [-2.41703287 3.33500614] -4.282894946637644 ;\n", + "Epoch 330/1000, Cost: 3.5541\n", + " and the parameters are [-2.41708077 3.3349326 ] -4.282967459250315 ;\n", + "Epoch 330/1000, Cost: 3.1683\n", + " and the parameters are [-2.41705086 3.33498634] -4.282992701767467 ;\n", + "Epoch 340/1000, Cost: 4.1876\n", + " and the parameters are [-2.43774062 3.36054179] -4.319669540378781 ;\n", + "Epoch 340/1000, Cost: 5.7028\n", + " and the parameters are [-2.43777682 3.3604307 ] -4.3197388038783044 ;\n", + "Epoch 340/1000, Cost: 4.2299\n", + " and the parameters are [-2.43779689 3.36043377] -4.319763420750634 ;\n", + "Epoch 340/1000, Cost: 4.2049\n", + " and the parameters are [-2.43771354 3.36043263] -4.319856630550363 ;\n", + "Epoch 340/1000, Cost: 4.3414\n", + " and the parameters are [-2.43769914 3.36039569] -4.319936545609316 ;\n", + "Epoch 340/1000, Cost: 4.2004\n", + " and the parameters are [-2.4377417 3.36052023] -4.319853908704259 ;\n", + "Epoch 340/1000, Cost: 1.3657\n", + " and the parameters are [-2.43773272 3.36053001] -4.319887730246252 ;\n", + "Epoch 340/1000, Cost: 5.0656\n", + " and the parameters are [-2.43778681 3.3604362 ] -4.319939035557122 ;\n", + "Epoch 340/1000, Cost: 7.1839\n", + " and the parameters are [-2.43788038 3.36021047] -4.320063905433393 ;\n", + "Epoch 340/1000, Cost: 3.0510\n", + " and the parameters are [-2.43790228 3.36010622] -4.320173138994863 ;\n", + "Epoch 340/1000, Cost: 2.7310\n", + " and the parameters are [-2.43794849 3.36009555] -4.320207032423081 ;\n", + "Epoch 340/1000, Cost: 3.3330\n", + " and the parameters are [-2.43795073 3.36005607] -4.320270345082487 ;\n", + "Epoch 340/1000, Cost: 5.5403\n", + " and the parameters are [-2.43797647 3.36011761] -4.320237784242595 ;\n", + "Epoch 340/1000, Cost: 2.6913\n", + " and the parameters are [-2.43796493 3.36011861] -4.320287580980471 ;\n", + "Epoch 340/1000, Cost: 3.8682\n", + " and the parameters are [-2.43796271 3.36001702] -4.320422788490612 ;\n", + "Epoch 340/1000, Cost: 3.1564\n", + " and the parameters are [-2.43792419 3.36017309] -4.320375212542283 ;\n", + "Epoch 340/1000, Cost: 2.8838\n", + " and the parameters are [-2.43795341 3.36019879] -4.320385998208083 ;\n", + "Epoch 340/1000, Cost: 1.6341\n", + " and the parameters are [-2.43793177 3.36030088] -4.320360645596432 ;\n", + "Epoch 340/1000, Cost: 3.9909\n", + " and the parameters are [-2.43800421 3.3602362 ] -4.320405455775585 ;\n", + "Epoch 340/1000, Cost: 4.3288\n", + " and the parameters are [-2.4380207 3.3603346] -4.320366589608938 ;\n", + "Epoch 340/1000, Cost: 4.9016\n", + " and the parameters are [-2.43799416 3.36043902] -4.320325788039744 ;\n", + "Epoch 340/1000, Cost: 4.7962\n", + " and the parameters are [-2.43800784 3.36058323] -4.320238126227445 ;\n", + "Epoch 340/1000, Cost: 3.2558\n", + " and the parameters are [-2.43800395 3.36060668] -4.320270932546913 ;\n", + "Epoch 340/1000, Cost: 2.7888\n", + " and the parameters are [-2.43804043 3.3605655 ] -4.3203108077936525 ;\n", + "Epoch 340/1000, Cost: 3.8924\n", + " and the parameters are [-2.43798775 3.36055229] -4.320376892848276 ;\n", + "Epoch 340/1000, Cost: 1.6055\n", + " and the parameters are [-2.43797374 3.36063309] -4.320356518365647 ;\n", + "Epoch 340/1000, Cost: 4.1449\n", + " and the parameters are [-2.43793175 3.36072762] -4.320344338553752 ;\n", + "Epoch 340/1000, Cost: 2.6176\n", + " and the parameters are [-2.4379071 3.36083663] -4.320320202061854 ;\n", + "Epoch 340/1000, Cost: 2.0826\n", + " and the parameters are [-2.43796461 3.3608757 ] -4.3203027256095625 ;\n", + "Epoch 340/1000, Cost: 2.7013\n", + " and the parameters are [-2.4379247 3.36092933] -4.320320296414582 ;\n", + "Epoch 340/1000, Cost: 4.4787\n", + " and the parameters are [-2.43801794 3.36090702] -4.320336537030313 ;\n", + "Epoch 340/1000, Cost: 8.2931\n", + " and the parameters are [-2.43805617 3.36093292] -4.3202742217474 ;\n", + "Epoch 340/1000, Cost: 1.9178\n", + " and the parameters are [-2.43804575 3.36099832] -4.320269457008831 ;\n", + "Epoch 340/1000, Cost: 3.9025\n", + " and the parameters are [-2.43812267 3.36105809] -4.320220844670045 ;\n", + "Epoch 340/1000, Cost: 4.1777\n", + " and the parameters are [-2.43811374 3.36102945] -4.320293567549167 ;\n", + "Epoch 340/1000, Cost: 1.4140\n", + " and the parameters are [-2.43811706 3.36107054] -4.3203027388917645 ;\n", + "Epoch 340/1000, Cost: 1.3163\n", + " and the parameters are [-2.43809471 3.36111926] -4.3203204048182045 ;\n", + "Epoch 340/1000, Cost: 3.9187\n", + " and the parameters are [-2.43809543 3.36118417] -4.320319407665539 ;\n", + "Epoch 340/1000, Cost: 4.1347\n", + " and the parameters are [-2.43812985 3.36121307] -4.320327675151113 ;\n", + "Epoch 340/1000, Cost: 2.9146\n", + " and the parameters are [-2.43817744 3.36126535] -4.320303686593437 ;\n", + "Epoch 340/1000, Cost: 3.9509\n", + " and the parameters are [-2.43817805 3.36124774] -4.320353127846026 ;\n", + "Epoch 340/1000, Cost: 3.3394\n", + " and the parameters are [-2.4381972 3.36131299] -4.3203447052193535 ;\n", + "Epoch 340/1000, Cost: 2.9243\n", + " and the parameters are [-2.43821603 3.36125754] -4.320412014427456 ;\n", + "Epoch 340/1000, Cost: 1.7839\n", + " and the parameters are [-2.43820541 3.36134939] -4.32038925772023 ;\n", + "Epoch 340/1000, Cost: 2.3483\n", + " and the parameters are [-2.43822793 3.36138392] -4.320400240207828 ;\n", + "Epoch 340/1000, Cost: 1.7443\n", + " and the parameters are [-2.43821148 3.36148154] -4.320370214582758 ;\n", + "Epoch 340/1000, Cost: 3.3867\n", + " and the parameters are [-2.43819625 3.36156812] -4.3203681059805 ;\n", + "Epoch 340/1000, Cost: 3.7182\n", + " and the parameters are [-2.43830832 3.36145561] -4.320446364650022 ;\n", + "Epoch 340/1000, Cost: 3.0488\n", + " and the parameters are [-2.43827855 3.36151959] -4.320451761895526 ;\n", + "Epoch 340/1000, Cost: 6.9794\n", + " and the parameters are [-2.43823192 3.36153934] -4.320467213017899 ;\n", + "Epoch 340/1000, Cost: 4.8382\n", + " and the parameters are [-2.43829824 3.36155041] -4.320451936062141 ;\n", + "Epoch 340/1000, Cost: 2.3458\n", + " and the parameters are [-2.43827247 3.36159564] -4.320479684458299 ;\n", + "Epoch 340/1000, Cost: 9.4689\n", + " and the parameters are [-2.43838876 3.36147683] -4.320489434565832 ;\n", + "Epoch 340/1000, Cost: 3.5514\n", + " and the parameters are [-2.43833065 3.36148948] -4.320560768718034 ;\n", + "Epoch 340/1000, Cost: 2.1438\n", + " and the parameters are [-2.43830285 3.36161446] -4.320529061250774 ;\n", + "Epoch 340/1000, Cost: 2.9918\n", + " and the parameters are [-2.43828303 3.36171509] -4.32050988899836 ;\n", + "Epoch 340/1000, Cost: 2.6767\n", + " and the parameters are [-2.43830045 3.36174254] -4.320522877032435 ;\n", + "Epoch 340/1000, Cost: 1.2861\n", + " and the parameters are [-2.43832326 3.36176388] -4.320527755685403 ;\n", + "Epoch 340/1000, Cost: 2.9558\n", + " and the parameters are [-2.43835234 3.36184747] -4.320483380768509 ;\n", + "Epoch 340/1000, Cost: 2.2006\n", + " and the parameters are [-2.4384019 3.36191994] -4.320439189074699 ;\n", + "Epoch 340/1000, Cost: 4.4766\n", + " and the parameters are [-2.43847353 3.36181594] -4.320518996759683 ;\n", + "Epoch 340/1000, Cost: 4.1598\n", + " and the parameters are [-2.4384891 3.36177801] -4.3205767532976145 ;\n", + "Epoch 340/1000, Cost: 4.0833\n", + " and the parameters are [-2.4384867 3.36184555] -4.320574311945957 ;\n", + "Epoch 340/1000, Cost: 5.9387\n", + " and the parameters are [-2.43851237 3.3618724 ] -4.320544315767597 ;\n", + "Epoch 340/1000, Cost: 2.3652\n", + " and the parameters are [-2.4384793 3.36196749] -4.320531069153565 ;\n", + "Epoch 340/1000, Cost: 2.2565\n", + " and the parameters are [-2.43849916 3.3619524 ] -4.320572443236036 ;\n", + "Epoch 340/1000, Cost: 2.7172\n", + " and the parameters are [-2.43851715 3.36199984] -4.32058185148813 ;\n", + "Epoch 340/1000, Cost: 1.9674\n", + " and the parameters are [-2.43850666 3.36203491] -4.320607274888229 ;\n", + "Epoch 340/1000, Cost: 5.4207\n", + " and the parameters are [-2.43855371 3.36196998] -4.320685295300745 ;\n", + "Epoch 340/1000, Cost: 3.2478\n", + " and the parameters are [-2.43854742 3.36196494] -4.320732673288178 ;\n", + "Epoch 340/1000, Cost: 5.1927\n", + " and the parameters are [-2.43852937 3.361981 ] -4.3207755154785215 ;\n", + "Epoch 340/1000, Cost: 5.8412\n", + " and the parameters are [-2.43855483 3.36181896] -4.320907797261641 ;\n", + "Epoch 340/1000, Cost: 4.2562\n", + " and the parameters are [-2.43862746 3.36164367] -4.321041696374598 ;\n", + "Epoch 340/1000, Cost: 6.7899\n", + " and the parameters are [-2.43866924 3.36167241] -4.321008681395295 ;\n", + "Epoch 340/1000, Cost: 3.0387\n", + " and the parameters are [-2.43861764 3.36187316] -4.320917662466974 ;\n", + "Epoch 340/1000, Cost: 4.7914\n", + " and the parameters are [-2.43859161 3.36198577] -4.3208663269374465 ;\n", + "Epoch 340/1000, Cost: 4.5738\n", + " and the parameters are [-2.43851749 3.36203394] -4.320869512862456 ;\n", + "Epoch 340/1000, Cost: 3.5514\n", + " and the parameters are [-2.43849515 3.36211303] -4.320862456860942 ;\n", + "Epoch 340/1000, Cost: 3.3919\n", + " and the parameters are [-2.43850588 3.36213687] -4.320890456228489 ;\n", + "Epoch 340/1000, Cost: 4.5666\n", + " and the parameters are [-2.43858489 3.36209675] -4.320927275901595 ;\n", + "Epoch 340/1000, Cost: 4.1821\n", + " and the parameters are [-2.43863091 3.36199296] -4.321029698084408 ;\n", + "Epoch 340/1000, Cost: 3.3122\n", + " and the parameters are [-2.43858772 3.36211198] -4.320988247630436 ;\n", + "Epoch 340/1000, Cost: 1.2887\n", + " and the parameters are [-2.43856422 3.36214849] -4.321006889994489 ;\n", + "Epoch 340/1000, Cost: 3.7508\n", + " and the parameters are [-2.43859263 3.36208297] -4.321076062907719 ;\n", + "Epoch 340/1000, Cost: 3.5467\n", + " and the parameters are [-2.43862527 3.36214925] -4.321047973321007 ;\n", + "Epoch 340/1000, Cost: 5.1507\n", + " and the parameters are [-2.43868958 3.36219287] -4.321011391195316 ;\n", + "Epoch 340/1000, Cost: 3.8819\n", + " and the parameters are [-2.43872662 3.36220581] -4.321025116554814 ;\n", + "Epoch 340/1000, Cost: 5.3802\n", + " and the parameters are [-2.43884769 3.36222853] -4.320974557329764 ;\n", + "Epoch 340/1000, Cost: 3.2822\n", + " and the parameters are [-2.43884813 3.36222062] -4.32101284024873 ;\n", + "Epoch 340/1000, Cost: 4.5228\n", + " and the parameters are [-2.43887989 3.36217689] -4.321053276976203 ;\n", + "Epoch 340/1000, Cost: 1.5015\n", + " and the parameters are [-2.43887476 3.36223289] -4.321049041838077 ;\n", + "Epoch 340/1000, Cost: 4.0672\n", + " and the parameters are [-2.43899883 3.36220895] -4.321013600728041 ;\n", + "Epoch 340/1000, Cost: 3.3356\n", + " and the parameters are [-2.43900361 3.36215561] -4.321105246038581 ;\n", + "Epoch 340/1000, Cost: 2.0236\n", + " and the parameters are [-2.43900276 3.36220353] -4.321116979687588 ;\n", + "Epoch 340/1000, Cost: 7.4512\n", + " and the parameters are [-2.43904016 3.36195654] -4.321319534633993 ;\n", + "Epoch 340/1000, Cost: 3.4542\n", + " and the parameters are [-2.43908985 3.36196918] -4.32132805925451 ;\n", + "Epoch 340/1000, Cost: 5.3232\n", + " and the parameters are [-2.43905012 3.36190663] -4.321408906437862 ;\n", + "Epoch 340/1000, Cost: 1.5623\n", + " and the parameters are [-2.43905074 3.36190605] -4.321453701851133 ;\n", + "Epoch 340/1000, Cost: 3.7141\n", + " and the parameters are [-2.4390549 3.36199897] -4.321415792115836 ;\n", + "Epoch 340/1000, Cost: 1.9306\n", + " and the parameters are [-2.43907702 3.36204913] -4.321405609403525 ;\n", + "Epoch 340/1000, Cost: 3.0163\n", + " and the parameters are [-2.43900548 3.36219256] -4.3213823809647804 ;\n", + "Epoch 340/1000, Cost: 3.2883\n", + " and the parameters are [-2.43903147 3.36224054] -4.32137359215335 ;\n", + "Epoch 340/1000, Cost: 3.1553\n", + " and the parameters are [-2.43902913 3.36233053] -4.321344801142657 ;\n", + "Epoch 340/1000, Cost: 2.7029\n", + " and the parameters are [-2.43897848 3.3624462 ] -4.321313865340335 ;\n", + "Epoch 340/1000, Cost: 8.7985\n", + " and the parameters are [-2.4390007 3.36251543] -4.321281262685728 ;\n", + "Epoch 340/1000, Cost: 3.6832\n", + " and the parameters are [-2.43900942 3.36256996] -4.321285075596806 ;\n", + "Epoch 340/1000, Cost: 2.2850\n", + " and the parameters are [-2.4390523 3.36256646] -4.3213118145253295 ;\n", + "Epoch 340/1000, Cost: 3.2000\n", + " and the parameters are [-2.43910562 3.36250577] -4.321366934407148 ;\n", + "Epoch 340/1000, Cost: 4.1903\n", + " and the parameters are [-2.43908944 3.36244619] -4.321471354419558 ;\n", + "Epoch 340/1000, Cost: 3.5025\n", + " and the parameters are [-2.43902553 3.36244843] -4.32153566419822 ;\n", + "Epoch 340/1000, Cost: 4.0330\n", + " and the parameters are [-2.43904452 3.36250597] -4.321523884401489 ;\n", + "Epoch 340/1000, Cost: 1.8142\n", + " and the parameters are [-2.43903866 3.36256581] -4.321520547184739 ;\n", + "Epoch 340/1000, Cost: 3.5046\n", + " and the parameters are [-2.43894738 3.36257767] -4.321592545116387 ;\n", + "Epoch 340/1000, Cost: 1.4137\n", + " and the parameters are [-2.43896138 3.36262772] -4.321587995209343 ;\n", + "Epoch 340/1000, Cost: 4.2804\n", + " and the parameters are [-2.43896728 3.36265825] -4.321593591852835 ;\n", + "Epoch 340/1000, Cost: 2.4901\n", + " and the parameters are [-2.43894548 3.36268144] -4.321639525134978 ;\n", + "Epoch 340/1000, Cost: 3.7613\n", + " and the parameters are [-2.43904923 3.36254352] -4.321727295695113 ;\n", + "Epoch 340/1000, Cost: 5.0663\n", + " and the parameters are [-2.43910699 3.36247344] -4.321797059750216 ;\n", + "Epoch 340/1000, Cost: 2.1059\n", + " and the parameters are [-2.43909069 3.36251649] -4.321821649175564 ;\n", + "Epoch 340/1000, Cost: 6.6688\n", + " and the parameters are [-2.43906961 3.36254555] -4.321814790763772 ;\n", + "Epoch 340/1000, Cost: 1.8772\n", + " and the parameters are [-2.43908522 3.36257252] -4.321825293354741 ;\n", + "Epoch 340/1000, Cost: 4.1730\n", + " and the parameters are [-2.43906419 3.36246568] -4.321931263435266 ;\n", + "Epoch 340/1000, Cost: 2.3288\n", + " and the parameters are [-2.43911729 3.36251601] -4.3219102338779205 ;\n", + "Epoch 340/1000, Cost: 4.1022\n", + " and the parameters are [-2.43908419 3.36261659] -4.321898441358495 ;\n", + "Epoch 340/1000, Cost: 1.9443\n", + " and the parameters are [-2.43911819 3.36262544] -4.321914714797795 ;\n", + "Epoch 340/1000, Cost: 1.9963\n", + " and the parameters are [-2.4391865 3.36265871] -4.321899093426495 ;\n", + "Epoch 340/1000, Cost: 1.7158\n", + " and the parameters are [-2.43918801 3.36264667] -4.321950321420045 ;\n", + "Epoch 340/1000, Cost: 3.2687\n", + " and the parameters are [-2.43915046 3.36264915] -4.322010292608122 ;\n", + "Epoch 340/1000, Cost: 3.0218\n", + " and the parameters are [-2.43907543 3.36276428] -4.322013408107124 ;\n", + "Epoch 340/1000, Cost: 2.3228\n", + " and the parameters are [-2.4391094 3.36279746] -4.322015257435569 ;\n", + "Epoch 340/1000, Cost: 3.1233\n", + " and the parameters are [-2.43913111 3.36280607] -4.322043445283992 ;\n", + "Epoch 340/1000, Cost: 5.3080\n", + " and the parameters are [-2.43918604 3.36292136] -4.321948867468618 ;\n", + "Epoch 340/1000, Cost: 1.4703\n", + " and the parameters are [-2.43919549 3.36293842] -4.321969679991634 ;\n", + "Epoch 340/1000, Cost: 6.3397\n", + " and the parameters are [-2.439328 3.36283067] -4.32200830416889 ;\n", + "Epoch 340/1000, Cost: 3.5425\n", + " and the parameters are [-2.4394277 3.36272553] -4.322060912137888 ;\n", + "Epoch 340/1000, Cost: 2.1261\n", + " and the parameters are [-2.43942908 3.36276377] -4.322076798531038 ;\n", + "Epoch 340/1000, Cost: 2.8948\n", + " and the parameters are [-2.43939493 3.36279171] -4.322104561441226 ;\n", + "Epoch 340/1000, Cost: 4.0157\n", + " and the parameters are [-2.43945206 3.36284531] -4.32206879022098 ;\n", + "Epoch 340/1000, Cost: 1.7190\n", + " and the parameters are [-2.43946112 3.36281809] -4.322121814588794 ;\n", + "Epoch 340/1000, Cost: 2.5980\n", + " and the parameters are [-2.43947742 3.36276202] -4.322197761109156 ;\n", + "Epoch 340/1000, Cost: 4.6836\n", + " and the parameters are [-2.43944596 3.36290124] -4.322152848123065 ;\n", + "Epoch 340/1000, Cost: 2.8374\n", + " and the parameters are [-2.43946538 3.36291821] -4.322181279484537 ;\n", + "Epoch 340/1000, Cost: 2.4334\n", + " and the parameters are [-2.43952285 3.36288163] -4.3222282649505335 ;\n", + "Epoch 340/1000, Cost: 4.8924\n", + " and the parameters are [-2.43954034 3.3627595 ] -4.322344200448603 ;\n", + "Epoch 340/1000, Cost: 4.1932\n", + " and the parameters are [-2.43961248 3.36271747] -4.322376055554323 ;\n", + "Epoch 340/1000, Cost: 2.8559\n", + " and the parameters are [-2.43960733 3.36281383] -4.32234695882352 ;\n", + "Epoch 340/1000, Cost: 3.8708\n", + " and the parameters are [-2.43970017 3.36285299] -4.322310131818982 ;\n", + "Epoch 340/1000, Cost: 5.3232\n", + " and the parameters are [-2.43981617 3.36270406] -4.322384857205406 ;\n", + "Epoch 340/1000, Cost: 2.7385\n", + " and the parameters are [-2.43982678 3.36273173] -4.322405960536779 ;\n", + "Epoch 340/1000, Cost: 3.2451\n", + " and the parameters are [-2.43986457 3.36272617] -4.322431913117011 ;\n", + "Epoch 340/1000, Cost: 2.6763\n", + " and the parameters are [-2.4398592 3.36279784] -4.322415671682253 ;\n", + "Epoch 340/1000, Cost: 4.8944\n", + " and the parameters are [-2.43984028 3.36275247] -4.322508257126502 ;\n", + "Epoch 340/1000, Cost: 2.5673\n", + " and the parameters are [-2.43984583 3.36287092] -4.322451678854273 ;\n", + "Epoch 340/1000, Cost: 2.4719\n", + " and the parameters are [-2.43982515 3.36287192] -4.322506655045899 ;\n", + "Epoch 340/1000, Cost: 9.6330\n", + " and the parameters are [-2.43980083 3.36284174] -4.322528806758061 ;\n", + "Epoch 340/1000, Cost: 2.7087\n", + " and the parameters are [-2.43976988 3.36300295] -4.322467870768271 ;\n", + "Epoch 340/1000, Cost: 4.4043\n", + " and the parameters are [-2.43981803 3.36295903] -4.322519935687058 ;\n", + "Epoch 340/1000, Cost: 4.6826\n", + " and the parameters are [-2.4398661 3.36281221] -4.322625064687876 ;\n", + "Epoch 340/1000, Cost: 2.1570\n", + " and the parameters are [-2.43990219 3.36286311] -4.322613826005856 ;\n", + "Epoch 340/1000, Cost: 3.4776\n", + " and the parameters are [-2.43992714 3.36291576] -4.322609758870877 ;\n", + "Epoch 340/1000, Cost: 1.9031\n", + " and the parameters are [-2.4399151 3.36294792] -4.322623560288019 ;\n", + "Epoch 340/1000, Cost: 3.7901\n", + " and the parameters are [-2.43989724 3.36287465] -4.322734516994979 ;\n", + "Epoch 340/1000, Cost: 3.9066\n", + " and the parameters are [-2.43993594 3.36281194] -4.3228094844076255 ;\n", + "Epoch 340/1000, Cost: 4.0601\n", + " and the parameters are [-2.44000189 3.36279925] -4.322820416768156 ;\n", + "Epoch 340/1000, Cost: 3.2327\n", + " and the parameters are [-2.43989917 3.36294792] -4.322817054647901 ;\n", + "Epoch 340/1000, Cost: 8.6568\n", + " and the parameters are [-2.43990743 3.36294363] -4.322792631511932 ;\n", + "Epoch 340/1000, Cost: 4.4851\n", + " and the parameters are [-2.43996016 3.36292832] -4.32282473431895 ;\n", + "Epoch 340/1000, Cost: 4.1623\n", + " and the parameters are [-2.43997004 3.36289967] -4.322906800737804 ;\n", + "Epoch 340/1000, Cost: 6.3113\n", + " and the parameters are [-2.44006152 3.36283875] -4.322941975191383 ;\n", + "Epoch 340/1000, Cost: 3.0724\n", + " and the parameters are [-2.44009769 3.3628701 ] -4.322946682856811 ;\n", + "Epoch 340/1000, Cost: 2.0009\n", + " and the parameters are [-2.44011449 3.36284216] -4.323001053646965 ;\n", + "Epoch 340/1000, Cost: 4.0892\n", + " and the parameters are [-2.43999934 3.36297961] -4.32301001175538 ;\n", + "Epoch 340/1000, Cost: 2.5950\n", + " and the parameters are [-2.44001484 3.36299693] -4.323031166997791 ;\n", + "Epoch 340/1000, Cost: 2.2070\n", + " and the parameters are [-2.44000745 3.36304874] -4.323041874899613 ;\n", + "Epoch 340/1000, Cost: 3.5739\n", + " and the parameters are [-2.44006229 3.36290994] -4.323157114681488 ;\n", + "Epoch 340/1000, Cost: 4.2049\n", + " and the parameters are [-2.44004699 3.3629507 ] -4.323170874096033 ;\n", + "Epoch 340/1000, Cost: 2.0785\n", + " and the parameters are [-2.4400533 3.36292304] -4.323229664555543 ;\n", + "Epoch 340/1000, Cost: 4.6159\n", + " and the parameters are [-2.43999988 3.36290032] -4.323312561756534 ;\n", + "Epoch 340/1000, Cost: 1.8569\n", + " and the parameters are [-2.44001206 3.36296941] -4.323283133649166 ;\n", + "Epoch 340/1000, Cost: 3.6207\n", + " and the parameters are [-2.440007 3.36288996] -4.323385466561488 ;\n", + "Epoch 340/1000, Cost: 5.7492\n", + " and the parameters are [-2.44001971 3.36282352] -4.32343340181619 ;\n", + "Epoch 340/1000, Cost: 3.7133\n", + " and the parameters are [-2.4400493 3.36287316] -4.323414404022158 ;\n", + "Epoch 340/1000, Cost: 3.5958\n", + " and the parameters are [-2.44007801 3.3628132 ] -4.323476439142769 ;\n", + "Epoch 340/1000, Cost: 1.9602\n", + " and the parameters are [-2.4400789 3.36282336] -4.323507895509803 ;\n", + "Epoch 340/1000, Cost: 4.1530\n", + " and the parameters are [-2.44011626 3.36277127] -4.323547071832609 ;\n", + "Epoch 340/1000, Cost: 2.4130\n", + " and the parameters are [-2.44010879 3.36282857] -4.323544949819634 ;\n", + "Epoch 340/1000, Cost: 5.0972\n", + " and the parameters are [-2.44006297 3.36291235] -4.323543660642008 ;\n", + "Epoch 340/1000, Cost: 2.5161\n", + " and the parameters are [-2.44007571 3.36299321] -4.32351376332056 ;\n", + "Epoch 340/1000, Cost: 5.0075\n", + " and the parameters are [-2.44003939 3.36307099] -4.323491457716299 ;\n", + "Epoch 340/1000, Cost: 3.5480\n", + " and the parameters are [-2.44002745 3.3631158 ] -4.323521858704037 ;\n", + "Epoch 340/1000, Cost: 2.5014\n", + " and the parameters are [-2.4399963 3.36308718] -4.323598140946221 ;\n", + "Epoch 340/1000, Cost: 6.5655\n", + " and the parameters are [-2.43993888 3.36301562] -4.323689359192573 ;\n", + "Epoch 340/1000, Cost: 3.3388\n", + " and the parameters are [-2.43991357 3.36310721] -4.3236763767467865 ;\n", + "Epoch 340/1000, Cost: 2.8236\n", + " and the parameters are [-2.43996125 3.36310483] -4.3236895594012505 ;\n", + "Epoch 340/1000, Cost: 5.4105\n", + " and the parameters are [-2.44000606 3.36301138] -4.3237643278909585 ;\n", + "Epoch 340/1000, Cost: 3.5975\n", + " and the parameters are [-2.43992164 3.36314821] -4.32374993973445 ;\n", + "Epoch 340/1000, Cost: 3.6453\n", + " and the parameters are [-2.43993423 3.36324522] -4.32368245049088 ;\n", + "Epoch 340/1000, Cost: 3.7941\n", + " and the parameters are [-2.4399173 3.36326055] -4.323716643846072 ;\n", + "Epoch 340/1000, Cost: 2.0144\n", + " and the parameters are [-2.43996075 3.36331656] -4.323684872430374 ;\n", + "Epoch 340/1000, Cost: 6.2853\n", + " and the parameters are [-2.439991 3.36315856] -4.323803241374527 ;\n", + "Epoch 350/1000, Cost: 4.5448\n", + " and the parameters are [-2.46020093 3.38773104] -4.3597156239561095 ;\n", + "Epoch 350/1000, Cost: 3.8486\n", + " and the parameters are [-2.46018537 3.38784753] -4.359675456634842 ;\n", + "Epoch 350/1000, Cost: 1.2173\n", + " and the parameters are [-2.46017924 3.38793059] -4.359652760605459 ;\n", + "Epoch 350/1000, Cost: 3.8912\n", + " and the parameters are [-2.46028767 3.38783566] -4.359704668069185 ;\n", + "Epoch 350/1000, Cost: 3.6405\n", + " and the parameters are [-2.46028601 3.38799517] -4.359622967602019 ;\n", + "Epoch 350/1000, Cost: 3.2445\n", + " and the parameters are [-2.46032424 3.3880071 ] -4.35963668512749 ;\n", + "Epoch 350/1000, Cost: 1.4900\n", + " and the parameters are [-2.46031781 3.38806872] -4.359632307171898 ;\n", + "Epoch 350/1000, Cost: 6.8061\n", + " and the parameters are [-2.46035645 3.38804951] -4.359618316541833 ;\n", + "Epoch 350/1000, Cost: 4.1615\n", + " and the parameters are [-2.46037546 3.38807166] -4.359629083448433 ;\n", + "Epoch 350/1000, Cost: 3.3442\n", + " and the parameters are [-2.46039666 3.38799459] -4.359704967490898 ;\n", + "Epoch 350/1000, Cost: 3.6506\n", + " and the parameters are [-2.46044672 3.38796443] -4.35973514651184 ;\n", + "Epoch 350/1000, Cost: 5.4449\n", + " and the parameters are [-2.46048687 3.3879839 ] -4.359738492742442 ;\n", + "Epoch 350/1000, Cost: 4.9922\n", + " and the parameters are [-2.46037511 3.3880672 ] -4.35976900999272 ;\n", + "Epoch 350/1000, Cost: 3.8842\n", + " and the parameters are [-2.46033812 3.38822803] -4.359709560593029 ;\n", + "Epoch 350/1000, Cost: 2.7731\n", + " and the parameters are [-2.46036523 3.38820379] -4.359759466624053 ;\n", + "Epoch 350/1000, Cost: 2.5872\n", + " and the parameters are [-2.46043484 3.38822597] -4.359748615652636 ;\n", + "Epoch 350/1000, Cost: 3.5788\n", + " and the parameters are [-2.46056424 3.38806007] -4.359839894392841 ;\n", + "Epoch 350/1000, Cost: 1.6284\n", + " and the parameters are [-2.46058374 3.38803959] -4.359884337479912 ;\n", + "Epoch 350/1000, Cost: 4.5507\n", + " and the parameters are [-2.46061148 3.38802791] -4.35991479821714 ;\n", + "Epoch 350/1000, Cost: 3.8463\n", + " and the parameters are [-2.46055723 3.38803212] -4.3599832937990834 ;\n", + "Epoch 350/1000, Cost: 1.4610\n", + " and the parameters are [-2.46054778 3.38810407] -4.359976766320432 ;\n", + "Epoch 350/1000, Cost: 2.1641\n", + " and the parameters are [-2.46062896 3.38804792] -4.360018982887436 ;\n", + "Epoch 350/1000, Cost: 3.9957\n", + " and the parameters are [-2.46060374 3.38816788] -4.359973890372705 ;\n", + "Epoch 350/1000, Cost: 1.9322\n", + " and the parameters are [-2.4606178 3.38814958] -4.360022747744275 ;\n", + "Epoch 350/1000, Cost: 2.7668\n", + " and the parameters are [-2.46055393 3.38828235] -4.359992838365233 ;\n", + "Epoch 350/1000, Cost: 3.8039\n", + " and the parameters are [-2.46052876 3.38823621] -4.360062811252337 ;\n", + "Epoch 350/1000, Cost: 3.4418\n", + " and the parameters are [-2.46055502 3.3882807 ] -4.360065035690931 ;\n", + "Epoch 350/1000, Cost: 4.4548\n", + " and the parameters are [-2.46060408 3.38837848] -4.360014453364025 ;\n", + "Epoch 350/1000, Cost: 3.0704\n", + " and the parameters are [-2.460619 3.38835976] -4.360072421817643 ;\n", + "Epoch 350/1000, Cost: 4.7125\n", + " and the parameters are [-2.46065232 3.38832372] -4.360113694569527 ;\n", + "Epoch 350/1000, Cost: 1.6849\n", + " and the parameters are [-2.46061628 3.38838155] -4.360125171318305 ;\n", + "Epoch 350/1000, Cost: 7.4392\n", + " and the parameters are [-2.46053261 3.38854059] -4.36006412190664 ;\n", + "Epoch 350/1000, Cost: 3.9797\n", + " and the parameters are [-2.46048509 3.38860419] -4.360090513722046 ;\n", + "Epoch 350/1000, Cost: 4.6685\n", + " and the parameters are [-2.46053862 3.38854094] -4.360127094341818 ;\n", + "Epoch 350/1000, Cost: 3.0255\n", + " and the parameters are [-2.46054258 3.38856814] -4.3601499986846735 ;\n", + "Epoch 350/1000, Cost: 3.2836\n", + " and the parameters are [-2.46054649 3.3886344 ] -4.360137296207778 ;\n", + "Epoch 350/1000, Cost: 4.7308\n", + " and the parameters are [-2.46056343 3.38855528] -4.360226882059413 ;\n", + "Epoch 350/1000, Cost: 2.4562\n", + " and the parameters are [-2.4606131 3.38863512] -4.3601730934987675 ;\n", + "Epoch 350/1000, Cost: 4.1380\n", + " and the parameters are [-2.46061941 3.38870764] -4.360156892481602 ;\n", + "Epoch 350/1000, Cost: 3.4722\n", + " and the parameters are [-2.46066864 3.38872117] -4.3601627341963 ;\n", + "Epoch 350/1000, Cost: 3.3868\n", + " and the parameters are [-2.46068461 3.38864658] -4.360257784064511 ;\n", + "Epoch 350/1000, Cost: 2.7192\n", + " and the parameters are [-2.46071649 3.38871312] -4.3602277852964 ;\n", + "Epoch 350/1000, Cost: 3.6610\n", + " and the parameters are [-2.46076088 3.38866412] -4.360265921247071 ;\n", + "Epoch 350/1000, Cost: 4.6914\n", + " and the parameters are [-2.46081083 3.38860822] -4.360300800423004 ;\n", + "Epoch 350/1000, Cost: 2.3314\n", + " and the parameters are [-2.46082479 3.38862291] -4.360323074954693 ;\n", + "Epoch 350/1000, Cost: 4.7591\n", + " and the parameters are [-2.46076932 3.38857743] -4.360416681803465 ;\n", + "Epoch 350/1000, Cost: 2.3105\n", + " and the parameters are [-2.46078514 3.38867972] -4.3603706776124875 ;\n", + "Epoch 350/1000, Cost: 4.6152\n", + " and the parameters are [-2.46085449 3.38868067] -4.360381568361273 ;\n", + "Epoch 350/1000, Cost: 2.0878\n", + " and the parameters are [-2.46086985 3.38864847] -4.360434456371174 ;\n", + "Epoch 350/1000, Cost: 5.2282\n", + " and the parameters are [-2.46094569 3.38853828] -4.360518868251807 ;\n", + "Epoch 350/1000, Cost: 2.9747\n", + " and the parameters are [-2.46088907 3.38863083] -4.360512913023093 ;\n", + "Epoch 350/1000, Cost: 2.0217\n", + " and the parameters are [-2.46091735 3.38864027] -4.360538646516776 ;\n", + "Epoch 350/1000, Cost: 1.5556\n", + " and the parameters are [-2.46094072 3.38865177] -4.360556940107167 ;\n", + "Epoch 350/1000, Cost: 3.4919\n", + " and the parameters are [-2.46092733 3.38876843] -4.360517279440752 ;\n", + "Epoch 350/1000, Cost: 3.0050\n", + " and the parameters are [-2.460939 3.38880137] -4.3605328997921 ;\n", + "Epoch 350/1000, Cost: 5.9262\n", + " and the parameters are [-2.46094697 3.38873055] -4.360589634790851 ;\n", + "Epoch 350/1000, Cost: 5.9840\n", + " and the parameters are [-2.46101514 3.38867641] -4.360603604989587 ;\n", + "Epoch 350/1000, Cost: 3.5785\n", + " and the parameters are [-2.46097264 3.38869992] -4.360658923985082 ;\n", + "Epoch 350/1000, Cost: 5.3700\n", + " and the parameters are [-2.46104413 3.38864076] -4.360691886181781 ;\n", + "Epoch 350/1000, Cost: 4.0786\n", + " and the parameters are [-2.46111427 3.38856822] -4.360749724771653 ;\n", + "Epoch 350/1000, Cost: 2.8311\n", + " and the parameters are [-2.46117682 3.38845656] -4.360828597645796 ;\n", + "Epoch 350/1000, Cost: 3.4966\n", + " and the parameters are [-2.46117765 3.38850441] -4.360839237434001 ;\n", + "Epoch 350/1000, Cost: 5.6489\n", + " and the parameters are [-2.46117048 3.38830951] -4.361014631982765 ;\n", + "Epoch 350/1000, Cost: 2.8609\n", + " and the parameters are [-2.46118016 3.3883482 ] -4.361026838124595 ;\n", + "Epoch 350/1000, Cost: 2.8643\n", + " and the parameters are [-2.46121715 3.38826358] -4.3611094554010865 ;\n", + "Epoch 350/1000, Cost: 1.8869\n", + " and the parameters are [-2.46125438 3.38822918] -4.361145419619785 ;\n", + "Epoch 350/1000, Cost: 1.5633\n", + " and the parameters are [-2.46127565 3.38821887] -4.361176737545571 ;\n", + "Epoch 350/1000, Cost: 2.5157\n", + " and the parameters are [-2.4612746 3.38827874] -4.361175521086223 ;\n", + "Epoch 350/1000, Cost: 7.5034\n", + " and the parameters are [-2.4613585 3.38818296] -4.361213862124517 ;\n", + "Epoch 350/1000, Cost: 2.3040\n", + " and the parameters are [-2.46129211 3.38825445] -4.361232655287071 ;\n", + "Epoch 350/1000, Cost: 5.8457\n", + " and the parameters are [-2.46119189 3.38827641] -4.361313509204297 ;\n", + "Epoch 350/1000, Cost: 3.9168\n", + " and the parameters are [-2.46119197 3.38823334] -4.361387955169816 ;\n", + "Epoch 350/1000, Cost: 3.1398\n", + " and the parameters are [-2.46128665 3.38813758] -4.361446944977487 ;\n", + "Epoch 350/1000, Cost: 2.8402\n", + " and the parameters are [-2.46128104 3.38819372] -4.361463349979746 ;\n", + "Epoch 350/1000, Cost: 2.6935\n", + " and the parameters are [-2.46121684 3.38821077] -4.361525981954483 ;\n", + "Epoch 350/1000, Cost: 2.6315\n", + " and the parameters are [-2.46119342 3.38821046] -4.361583040604193 ;\n", + "Epoch 350/1000, Cost: 3.4320\n", + " and the parameters are [-2.46120003 3.38831398] -4.361530356932928 ;\n", + "Epoch 350/1000, Cost: 3.7680\n", + " and the parameters are [-2.46126946 3.38831896] -4.3615167083379625 ;\n", + "Epoch 350/1000, Cost: 2.8463\n", + " and the parameters are [-2.46123121 3.38844084] -4.3614772598722285 ;\n", + "Epoch 350/1000, Cost: 3.8241\n", + " and the parameters are [-2.46124772 3.38843215] -4.3615154047164415 ;\n", + "Epoch 350/1000, Cost: 4.8427\n", + " and the parameters are [-2.46114739 3.38857049] -4.3614880166541194 ;\n", + "Epoch 350/1000, Cost: 2.6984\n", + " and the parameters are [-2.46114537 3.38861546] -4.361507941355073 ;\n", + "Epoch 350/1000, Cost: 5.1567\n", + " and the parameters are [-2.46120414 3.38858841] -4.3615132692991585 ;\n", + "Epoch 350/1000, Cost: 3.1575\n", + " and the parameters are [-2.46123886 3.38861094] -4.361536140512551 ;\n", + "Epoch 350/1000, Cost: 3.7458\n", + " and the parameters are [-2.46119882 3.38872495] -4.361513898237321 ;\n", + "Epoch 350/1000, Cost: 3.2827\n", + " and the parameters are [-2.46119508 3.38875783] -4.361546994947387 ;\n", + "Epoch 350/1000, Cost: 1.7871\n", + " and the parameters are [-2.46117885 3.38876878] -4.361593224112915 ;\n", + "Epoch 350/1000, Cost: 1.1804\n", + " and the parameters are [-2.46116813 3.38881844] -4.361593245871302 ;\n", + "Epoch 350/1000, Cost: 1.7072\n", + " and the parameters are [-2.46117638 3.3888696 ] -4.361587805350447 ;\n", + "Epoch 350/1000, Cost: 1.8862\n", + " and the parameters are [-2.46116565 3.38892849] -4.361583986641739 ;\n", + "Epoch 350/1000, Cost: 2.7585\n", + " and the parameters are [-2.461097 3.38907327] -4.361558528712118 ;\n", + "Epoch 350/1000, Cost: 8.1306\n", + " and the parameters are [-2.46103632 3.3891399 ] -4.361542189700465 ;\n", + "Epoch 350/1000, Cost: 2.6226\n", + " and the parameters are [-2.46101898 3.38925696] -4.3615037888775285 ;\n", + "Epoch 350/1000, Cost: 2.2567\n", + " and the parameters are [-2.46101588 3.38925802] -4.361555845625052 ;\n", + "Epoch 350/1000, Cost: 4.6612\n", + " and the parameters are [-2.46096653 3.38927848] -4.361594152513758 ;\n", + "Epoch 350/1000, Cost: 6.0118\n", + " and the parameters are [-2.46102275 3.38928384] -4.361602715832726 ;\n", + "Epoch 350/1000, Cost: 3.4746\n", + " and the parameters are [-2.46098984 3.38940028] -4.3615772404374935 ;\n", + "Epoch 350/1000, Cost: 3.7439\n", + " and the parameters are [-2.46099967 3.38932695] -4.361667741418958 ;\n", + "Epoch 350/1000, Cost: 3.5095\n", + " and the parameters are [-2.46094423 3.38946073] -4.361639107336849 ;\n", + "Epoch 350/1000, Cost: 4.8449\n", + " and the parameters are [-2.46090643 3.38938752] -4.361744823536837 ;\n", + "Epoch 350/1000, Cost: 4.5535\n", + " and the parameters are [-2.46093844 3.38951035] -4.361684986959027 ;\n", + "Epoch 350/1000, Cost: 3.6730\n", + " and the parameters are [-2.46099452 3.38953341] -4.361665916610342 ;\n", + "Epoch 350/1000, Cost: 3.0026\n", + " and the parameters are [-2.46103359 3.3895358 ] -4.361672189989818 ;\n", + "Epoch 350/1000, Cost: 6.3624\n", + " and the parameters are [-2.46092788 3.38964622] -4.361644768658616 ;\n", + "Epoch 350/1000, Cost: 2.4545\n", + " and the parameters are [-2.46090277 3.38969176] -4.361672648531749 ;\n", + "Epoch 350/1000, Cost: 1.6069\n", + " and the parameters are [-2.46090937 3.38977606] -4.361646055418832 ;\n", + "Epoch 350/1000, Cost: 5.2574\n", + " and the parameters are [-2.46084905 3.38979387] -4.361689073327364 ;\n", + "Epoch 350/1000, Cost: 2.8289\n", + " and the parameters are [-2.46083877 3.38982364] -4.361724898303885 ;\n", + "Epoch 350/1000, Cost: 1.7976\n", + " and the parameters are [-2.46084171 3.38981718] -4.361770848035146 ;\n", + "Epoch 350/1000, Cost: 2.2708\n", + " and the parameters are [-2.46086007 3.38986406] -4.361775773245771 ;\n", + "Epoch 350/1000, Cost: 2.5197\n", + " and the parameters are [-2.46097491 3.38981656] -4.361786734587041 ;\n", + "Epoch 350/1000, Cost: 4.6488\n", + " and the parameters are [-2.46101134 3.38968123] -4.361894352257467 ;\n", + "Epoch 350/1000, Cost: 2.5880\n", + " and the parameters are [-2.46104811 3.38971089] -4.361902764580714 ;\n", + "Epoch 350/1000, Cost: 4.4373\n", + " and the parameters are [-2.46110533 3.38961537] -4.361986024129632 ;\n", + "Epoch 350/1000, Cost: 2.9219\n", + " and the parameters are [-2.4611235 3.38964778] -4.36199641856256 ;\n", + "Epoch 350/1000, Cost: 6.0406\n", + " and the parameters are [-2.46107193 3.3897096 ] -4.361970333646914 ;\n", + "Epoch 350/1000, Cost: 6.4236\n", + " and the parameters are [-2.4610665 3.3896332] -4.362036258886146 ;\n", + "Epoch 350/1000, Cost: 3.6980\n", + " and the parameters are [-2.46110588 3.38960811] -4.362057167428968 ;\n", + "Epoch 350/1000, Cost: 2.0391\n", + " and the parameters are [-2.46114606 3.38963486] -4.362055776236204 ;\n", + "Epoch 350/1000, Cost: 3.2753\n", + " and the parameters are [-2.46116716 3.38973925] -4.362014685021323 ;\n", + "Epoch 350/1000, Cost: 4.0830\n", + " and the parameters are [-2.46115998 3.38983027] -4.361985247848381 ;\n", + "Epoch 350/1000, Cost: 3.4677\n", + " and the parameters are [-2.46118962 3.38983561] -4.361998776695368 ;\n", + "Epoch 350/1000, Cost: 1.8338\n", + " and the parameters are [-2.46121919 3.38982958] -4.36202272015967 ;\n", + "Epoch 350/1000, Cost: 3.9039\n", + " and the parameters are [-2.46126372 3.38992976] -4.3619544296893205 ;\n", + "Epoch 350/1000, Cost: 4.2063\n", + " and the parameters are [-2.46129769 3.38992759] -4.361977429298004 ;\n", + "Epoch 350/1000, Cost: 2.0673\n", + " and the parameters are [-2.46133323 3.38997961] -4.361959831398441 ;\n", + "Epoch 350/1000, Cost: 1.6287\n", + " and the parameters are [-2.46136672 3.38994884] -4.36201240432758 ;\n", + "Epoch 350/1000, Cost: 2.8834\n", + " and the parameters are [-2.46134447 3.39005328] -4.361982582582437 ;\n", + "Epoch 350/1000, Cost: 2.3134\n", + " and the parameters are [-2.46139383 3.3900556 ] -4.361998715171976 ;\n", + "Epoch 350/1000, Cost: 5.5148\n", + " and the parameters are [-2.46133858 3.39017285] -4.361945898116467 ;\n", + "Epoch 350/1000, Cost: 2.7577\n", + " and the parameters are [-2.46137448 3.39020307] -4.361954535597064 ;\n", + "Epoch 350/1000, Cost: 3.9602\n", + " and the parameters are [-2.461282 3.39024224] -4.361986557386867 ;\n", + "Epoch 350/1000, Cost: 6.7316\n", + " and the parameters are [-2.46129336 3.39040631] -4.361875847883726 ;\n", + "Epoch 350/1000, Cost: 2.4097\n", + " and the parameters are [-2.46127076 3.39048991] -4.3618728329020655 ;\n", + "Epoch 350/1000, Cost: 3.8331\n", + " and the parameters are [-2.46124775 3.39049997] -4.36192386736724 ;\n", + "Epoch 350/1000, Cost: 3.1134\n", + " and the parameters are [-2.46133103 3.39036701] -4.362028882754109 ;\n", + "Epoch 350/1000, Cost: 1.6535\n", + " and the parameters are [-2.46131856 3.39043437] -4.362023210109642 ;\n", + "Epoch 350/1000, Cost: 3.8180\n", + " and the parameters are [-2.46142208 3.39033699] -4.362087148896593 ;\n", + "Epoch 350/1000, Cost: 3.4814\n", + " and the parameters are [-2.46145566 3.39028319] -4.362160930487815 ;\n", + "Epoch 350/1000, Cost: 4.9467\n", + " and the parameters are [-2.46151977 3.39011941] -4.362275645428649 ;\n", + "Epoch 350/1000, Cost: 3.4872\n", + " and the parameters are [-2.46154959 3.39006372] -4.36234779863586 ;\n", + "Epoch 350/1000, Cost: 1.8782\n", + " and the parameters are [-2.4615357 3.39008569] -4.362376902016186 ;\n", + "Epoch 350/1000, Cost: 5.6873\n", + " and the parameters are [-2.46153822 3.39017331] -4.362332252529633 ;\n", + "Epoch 350/1000, Cost: 2.2237\n", + " and the parameters are [-2.46152482 3.39024819] -4.362330921056348 ;\n", + "Epoch 350/1000, Cost: 5.8576\n", + " and the parameters are [-2.46152368 3.39015204] -4.3624437576247015 ;\n", + "Epoch 350/1000, Cost: 1.6383\n", + " and the parameters are [-2.46152868 3.39019632] -4.362442988654994 ;\n", + "Epoch 350/1000, Cost: 2.7899\n", + " and the parameters are [-2.46150679 3.39022341] -4.362478881011983 ;\n", + "Epoch 350/1000, Cost: 3.5519\n", + " and the parameters are [-2.4615444 3.39025768] -4.36247166133004 ;\n", + "Epoch 350/1000, Cost: 1.2759\n", + " and the parameters are [-2.46152961 3.3903074 ] -4.362481906905329 ;\n", + "Epoch 350/1000, Cost: 4.7630\n", + " and the parameters are [-2.46151368 3.39050434] -4.362373549747961 ;\n", + "Epoch 350/1000, Cost: 3.5484\n", + " and the parameters are [-2.46142808 3.39056361] -4.362409524999714 ;\n", + "Epoch 350/1000, Cost: 2.8578\n", + " and the parameters are [-2.46142651 3.39065167] -4.362379853758214 ;\n", + "Epoch 350/1000, Cost: 6.5352\n", + " and the parameters are [-2.46146134 3.39060568] -4.362418959427938 ;\n", + "Epoch 350/1000, Cost: 2.5128\n", + " and the parameters are [-2.46151816 3.3905935 ] -4.362437463236001 ;\n", + "Epoch 350/1000, Cost: 3.5418\n", + " and the parameters are [-2.46155134 3.39049632] -4.36253171887056 ;\n", + "Epoch 350/1000, Cost: 8.2903\n", + " and the parameters are [-2.4616071 3.39059391] -4.36241934484528 ;\n", + "Epoch 350/1000, Cost: 5.4097\n", + " and the parameters are [-2.4616865 3.39053175] -4.362468828760331 ;\n", + "Epoch 350/1000, Cost: 1.9982\n", + " and the parameters are [-2.46172239 3.39055507] -4.362482744151377 ;\n", + "Epoch 350/1000, Cost: 4.7463\n", + " and the parameters are [-2.461655 3.39050559] -4.3625608963603355 ;\n", + "Epoch 350/1000, Cost: 3.2713\n", + " and the parameters are [-2.46165124 3.39048699] -4.362611436630926 ;\n", + "Epoch 350/1000, Cost: 3.9528\n", + " and the parameters are [-2.46160337 3.3906216 ] -4.3625722634803 ;\n", + "Epoch 350/1000, Cost: 4.0163\n", + " and the parameters are [-2.46160042 3.39060326] -4.362617194170328 ;\n", + "Epoch 350/1000, Cost: 2.9964\n", + " and the parameters are [-2.46165407 3.39063115] -4.362608469332249 ;\n", + "Epoch 350/1000, Cost: 1.4318\n", + " and the parameters are [-2.4616782 3.39064232] -4.362626290425112 ;\n", + "Epoch 350/1000, Cost: 2.5717\n", + " and the parameters are [-2.46169762 3.39072106] -4.362595231108482 ;\n", + "Epoch 350/1000, Cost: 6.2243\n", + " and the parameters are [-2.46169521 3.39061857] -4.362679025132797 ;\n", + "Epoch 350/1000, Cost: 2.5472\n", + " and the parameters are [-2.46174398 3.39061093] -4.3627105754012785 ;\n", + "Epoch 350/1000, Cost: 3.6724\n", + " and the parameters are [-2.46175617 3.39053953] -4.362793612694537 ;\n", + "Epoch 350/1000, Cost: 5.1067\n", + " and the parameters are [-2.46169512 3.39067524] -4.362753962432623 ;\n", + "Epoch 350/1000, Cost: 3.0585\n", + " and the parameters are [-2.46166987 3.39073289] -4.362774440897978 ;\n", + "Epoch 350/1000, Cost: 3.6604\n", + " and the parameters are [-2.46180503 3.39067118] -4.362767396099055 ;\n", + "Epoch 350/1000, Cost: 2.7176\n", + " and the parameters are [-2.46178821 3.390729 ] -4.3627751707570726 ;\n", + "Epoch 350/1000, Cost: 4.0754\n", + " and the parameters are [-2.46184183 3.39075122] -4.362766244962769 ;\n", + "Epoch 350/1000, Cost: 6.5801\n", + " and the parameters are [-2.46192741 3.39064183] -4.362801558943625 ;\n", + "Epoch 350/1000, Cost: 6.1755\n", + " and the parameters are [-2.46194299 3.39074033] -4.362715771814832 ;\n", + "Epoch 350/1000, Cost: 4.0585\n", + " and the parameters are [-2.46193637 3.3907657 ] -4.362735235707174 ;\n", + "Epoch 350/1000, Cost: 3.8879\n", + " and the parameters are [-2.46198761 3.39065808] -4.362822485971839 ;\n", + "Epoch 350/1000, Cost: 2.9689\n", + " and the parameters are [-2.46193474 3.39073909] -4.362838283965612 ;\n", + "Epoch 350/1000, Cost: 3.9043\n", + " and the parameters are [-2.46193652 3.39067073] -4.3629224241452995 ;\n", + "Epoch 350/1000, Cost: 5.9090\n", + " and the parameters are [-2.46206502 3.3903898 ] -4.363085160114037 ;\n", + "Epoch 350/1000, Cost: 3.5661\n", + " and the parameters are [-2.46213116 3.39037022] -4.3631100742263 ;\n", + "Epoch 350/1000, Cost: 10.1652\n", + " and the parameters are [-2.46215804 3.39007672] -4.36328775061412 ;\n", + "Epoch 350/1000, Cost: 3.0724\n", + " and the parameters are [-2.46220194 3.39011107] -4.363268052452706 ;\n", + "Epoch 350/1000, Cost: 4.8607\n", + " and the parameters are [-2.46224139 3.39004191] -4.363321913218411 ;\n", + "Epoch 350/1000, Cost: 3.3202\n", + " and the parameters are [-2.46227583 3.39008733] -4.363310281978388 ;\n", + "Epoch 350/1000, Cost: 2.2849\n", + " and the parameters are [-2.46228719 3.39012794] -4.363321134552981 ;\n", + "Epoch 350/1000, Cost: 2.8447\n", + " and the parameters are [-2.46226607 3.39013944] -4.363371907862678 ;\n", + "Epoch 350/1000, Cost: 3.0229\n", + " and the parameters are [-2.46223473 3.39024153] -4.363345831709216 ;\n", + "Epoch 350/1000, Cost: 6.5544\n", + " and the parameters are [-2.46231882 3.39026912] -4.363303770045436 ;\n", + "Epoch 350/1000, Cost: 3.8097\n", + " and the parameters are [-2.46228298 3.39031612] -4.363332533801085 ;\n", + "Epoch 350/1000, Cost: 2.7198\n", + " and the parameters are [-2.46228585 3.39033187] -4.363368668176479 ;\n", + "Epoch 350/1000, Cost: 2.7831\n", + " and the parameters are [-2.46231157 3.39030786] -4.363412668712695 ;\n", + "Epoch 350/1000, Cost: 3.5341\n", + " and the parameters are [-2.46235845 3.39025299] -4.363473054921619 ;\n", + "Epoch 350/1000, Cost: 2.1607\n", + " and the parameters are [-2.46234072 3.39031847] -4.3634831776676615 ;\n", + "Epoch 350/1000, Cost: 1.9272\n", + " and the parameters are [-2.46237267 3.39035452] -4.363480808477778 ;\n", + "Epoch 350/1000, Cost: 2.3255\n", + " and the parameters are [-2.46234002 3.39039882] -4.36351284334506 ;\n", + "Epoch 350/1000, Cost: 3.7911\n", + " and the parameters are [-2.46236398 3.39037403] -4.363559244597458 ;\n", + "Epoch 350/1000, Cost: 3.7472\n", + " and the parameters are [-2.4623939 3.3903945] -4.363560443785627 ;\n", + "Epoch 350/1000, Cost: 3.1910\n", + " and the parameters are [-2.46237783 3.39044261] -4.3635784447075 ;\n", + "Epoch 350/1000, Cost: 2.4671\n", + " and the parameters are [-2.46234238 3.39053476] -4.363567592229224 ;\n", + "Epoch 360/1000, Cost: 1.7725\n", + " and the parameters are [-2.48196174 3.41462144] -4.3984934555337 ;\n", + "Epoch 360/1000, Cost: 3.3558\n", + " and the parameters are [-2.48196226 3.4146332 ] -4.39853602610245 ;\n", + "Epoch 360/1000, Cost: 4.1274\n", + " and the parameters are [-2.48196748 3.41463447] -4.398589923547359 ;\n", + "Epoch 360/1000, Cost: 5.5002\n", + " and the parameters are [-2.48203167 3.41463103] -4.3985877347590465 ;\n", + "Epoch 360/1000, Cost: 4.5356\n", + " and the parameters are [-2.48198928 3.41473763] -4.398527108955269 ;\n", + "Epoch 360/1000, Cost: 1.9130\n", + " and the parameters are [-2.48204373 3.41473016] -4.398539008461974 ;\n", + "Epoch 360/1000, Cost: 4.3384\n", + " and the parameters are [-2.48210236 3.41470685] -4.398561300681824 ;\n", + "Epoch 360/1000, Cost: 4.6987\n", + " and the parameters are [-2.48211661 3.41464015] -4.398625603632238 ;\n", + "Epoch 360/1000, Cost: 2.0699\n", + " and the parameters are [-2.48208314 3.41478505] -4.398584969619767 ;\n", + "Epoch 360/1000, Cost: 7.3723\n", + " and the parameters are [-2.48197369 3.41487883] -4.39856708109566 ;\n", + "Epoch 360/1000, Cost: 9.5212\n", + " and the parameters are [-2.4821821 3.41465755] -4.398620484242946 ;\n", + "Epoch 360/1000, Cost: 8.1399\n", + " and the parameters are [-2.48218849 3.41472001] -4.398586377926877 ;\n", + "Epoch 360/1000, Cost: 2.2877\n", + " and the parameters are [-2.48218438 3.41484831] -4.398534572907728 ;\n", + "Epoch 360/1000, Cost: 2.6654\n", + " and the parameters are [-2.48225985 3.41482931] -4.398542092598304 ;\n", + "Epoch 360/1000, Cost: 4.8208\n", + " and the parameters are [-2.48219143 3.41492553] -4.398547390971992 ;\n", + "Epoch 360/1000, Cost: 3.9506\n", + " and the parameters are [-2.48216003 3.41496906] -4.398576234619884 ;\n", + "Epoch 360/1000, Cost: 2.9218\n", + " and the parameters are [-2.48216726 3.41497568] -4.3986099663471006 ;\n", + "Epoch 360/1000, Cost: 4.2902\n", + " and the parameters are [-2.48207869 3.41506634] -4.398612668637373 ;\n", + "Epoch 360/1000, Cost: 6.0983\n", + " and the parameters are [-2.48203876 3.4150078 ] -4.398690098750104 ;\n", + "Epoch 360/1000, Cost: 3.7683\n", + " and the parameters are [-2.48204614 3.41499917] -4.398736101974374 ;\n", + "Epoch 360/1000, Cost: 9.5863\n", + " and the parameters are [-2.4821601 3.41464425] -4.398931772131045 ;\n", + "Epoch 360/1000, Cost: 3.7022\n", + " and the parameters are [-2.4821302 3.41468819] -4.398960367158426 ;\n", + "Epoch 360/1000, Cost: 6.0218\n", + " and the parameters are [-2.48218404 3.4145948 ] -4.399000887875041 ;\n", + "Epoch 360/1000, Cost: 2.0441\n", + " and the parameters are [-2.48216436 3.41462406] -4.399029610424268 ;\n", + "Epoch 360/1000, Cost: 2.0263\n", + " and the parameters are [-2.48215457 3.41461951] -4.399063489037206 ;\n", + "Epoch 360/1000, Cost: 3.8093\n", + " and the parameters are [-2.48210338 3.41477335] -4.399029388154252 ;\n", + "Epoch 360/1000, Cost: 3.8628\n", + " and the parameters are [-2.48214559 3.41472212] -4.399110585952731 ;\n", + "Epoch 360/1000, Cost: 2.2403\n", + " and the parameters are [-2.48216074 3.41469166] -4.399164948538913 ;\n", + "Epoch 360/1000, Cost: 8.2664\n", + " and the parameters are [-2.48214313 3.41470279] -4.399144996035829 ;\n", + "Epoch 360/1000, Cost: 2.8764\n", + " and the parameters are [-2.48211123 3.41473615] -4.399179998178455 ;\n", + "Epoch 360/1000, Cost: 9.0541\n", + " and the parameters are [-2.48209008 3.41463782] -4.399270262480651 ;\n", + "Epoch 360/1000, Cost: 0.9278\n", + " and the parameters are [-2.48210482 3.41464665] -4.399285831971469 ;\n", + "Epoch 360/1000, Cost: 1.5024\n", + " and the parameters are [-2.48211874 3.4147107 ] -4.399265503323389 ;\n", + "Epoch 360/1000, Cost: 5.2158\n", + " and the parameters are [-2.4821471 3.41474659] -4.399271665942178 ;\n", + "Epoch 360/1000, Cost: 1.6575\n", + " and the parameters are [-2.4821526 3.41477419] -4.399290023657687 ;\n", + "Epoch 360/1000, Cost: 5.4250\n", + " and the parameters are [-2.48210469 3.41486082] -4.399258533305433 ;\n", + "Epoch 360/1000, Cost: 1.8349\n", + " and the parameters are [-2.48210313 3.41488733] -4.399277071228531 ;\n", + "Epoch 360/1000, Cost: 1.8924\n", + " and the parameters are [-2.48212674 3.414897 ] -4.399295749487782 ;\n", + "Epoch 360/1000, Cost: 5.0119\n", + " and the parameters are [-2.48210187 3.41492486] -4.3993140516722145 ;\n", + "Epoch 360/1000, Cost: 3.2649\n", + " and the parameters are [-2.48202011 3.4150551 ] -4.399299262552514 ;\n", + "Epoch 360/1000, Cost: 2.6704\n", + " and the parameters are [-2.48202107 3.41513048] -4.3992676853434105 ;\n", + "Epoch 360/1000, Cost: 4.6825\n", + " and the parameters are [-2.48197655 3.41515666] -4.399303988671867 ;\n", + "Epoch 360/1000, Cost: 2.9971\n", + " and the parameters are [-2.48199854 3.4151623 ] -4.399339657910239 ;\n", + "Epoch 360/1000, Cost: 4.1229\n", + " and the parameters are [-2.48197143 3.41530135] -4.399294745766143 ;\n", + "Epoch 360/1000, Cost: 1.8379\n", + " and the parameters are [-2.4819627 3.41530942] -4.399338716792813 ;\n", + "Epoch 360/1000, Cost: 2.9118\n", + " and the parameters are [-2.4819793 3.41527043] -4.399387273646386 ;\n", + "Epoch 360/1000, Cost: 2.8782\n", + " and the parameters are [-2.48201471 3.41533001] -4.399375178647033 ;\n", + "Epoch 360/1000, Cost: 1.5556\n", + " and the parameters are [-2.48204302 3.41533034] -4.399400666549409 ;\n", + "Epoch 360/1000, Cost: 3.3264\n", + " and the parameters are [-2.48196401 3.41538155] -4.399449039871032 ;\n", + "Epoch 360/1000, Cost: 1.9987\n", + " and the parameters are [-2.4819927 3.41543871] -4.399422711210267 ;\n", + "Epoch 360/1000, Cost: 1.5506\n", + " and the parameters are [-2.48199104 3.41544719] -4.399453085266164 ;\n", + "Epoch 360/1000, Cost: 2.2178\n", + " and the parameters are [-2.48205024 3.41548618] -4.3994340821709015 ;\n", + "Epoch 360/1000, Cost: 4.9126\n", + " and the parameters are [-2.48213434 3.41541828] -4.399452223024251 ;\n", + "Epoch 360/1000, Cost: 3.8329\n", + " and the parameters are [-2.48206849 3.41542519] -4.399531801907368 ;\n", + "Epoch 360/1000, Cost: 3.9116\n", + " and the parameters are [-2.48212712 3.41531149] -4.399614045828234 ;\n", + "Epoch 360/1000, Cost: 4.8382\n", + " and the parameters are [-2.48214543 3.41516441] -4.399744399425345 ;\n", + "Epoch 360/1000, Cost: 3.5125\n", + " and the parameters are [-2.48218629 3.41515379] -4.399772879241682 ;\n", + "Epoch 360/1000, Cost: 2.9328\n", + " and the parameters are [-2.48225828 3.41517508] -4.399764628888319 ;\n", + "Epoch 360/1000, Cost: 2.8474\n", + " and the parameters are [-2.48224027 3.41520506] -4.399790737720689 ;\n", + "Epoch 360/1000, Cost: 2.8693\n", + " and the parameters are [-2.48225537 3.41516774] -4.399847569993207 ;\n", + "Epoch 360/1000, Cost: 5.3155\n", + " and the parameters are [-2.48225161 3.41515372] -4.399871737226702 ;\n", + "Epoch 360/1000, Cost: 2.8925\n", + " and the parameters are [-2.48222825 3.41512433] -4.399947202002255 ;\n", + "Epoch 360/1000, Cost: 2.9403\n", + " and the parameters are [-2.48226809 3.41521921] -4.399895690910576 ;\n", + "Epoch 360/1000, Cost: 1.7062\n", + " and the parameters are [-2.48229409 3.41523637] -4.399905692236088 ;\n", + "Epoch 360/1000, Cost: 3.0890\n", + " and the parameters are [-2.48231603 3.41529345] -4.399887649523505 ;\n", + "Epoch 360/1000, Cost: 3.7735\n", + " and the parameters are [-2.48228937 3.41534089] -4.399908191352195 ;\n", + "Epoch 360/1000, Cost: 6.0063\n", + " and the parameters are [-2.48225401 3.41539692] -4.399894368472559 ;\n", + "Epoch 360/1000, Cost: 2.0302\n", + " and the parameters are [-2.48229249 3.41541225] -4.399899026115318 ;\n", + "Epoch 360/1000, Cost: 2.9041\n", + " and the parameters are [-2.48232559 3.41551691] -4.399846201072146 ;\n", + "Epoch 360/1000, Cost: 2.5279\n", + " and the parameters are [-2.48223674 3.4156011 ] -4.399864616352612 ;\n", + "Epoch 360/1000, Cost: 1.9936\n", + " and the parameters are [-2.48226806 3.41557062] -4.399913091701513 ;\n", + "Epoch 360/1000, Cost: 2.4971\n", + " and the parameters are [-2.48228009 3.41567668] -4.39985541990456 ;\n", + "Epoch 360/1000, Cost: 5.0415\n", + " and the parameters are [-2.4823193 3.41561306] -4.39993101492107 ;\n", + "Epoch 360/1000, Cost: 2.2592\n", + " and the parameters are [-2.48235771 3.4156466 ] -4.399930289949491 ;\n", + "Epoch 360/1000, Cost: 2.9422\n", + " and the parameters are [-2.48235788 3.41559008] -4.400029363188487 ;\n", + "Epoch 360/1000, Cost: 2.7754\n", + " and the parameters are [-2.48243537 3.41554448] -4.400063480751178 ;\n", + "Epoch 360/1000, Cost: 4.0251\n", + " and the parameters are [-2.48241128 3.41559363] -4.400079293481045 ;\n", + "Epoch 360/1000, Cost: 2.7433\n", + " and the parameters are [-2.48235201 3.41564395] -4.4001080352994935 ;\n", + "Epoch 360/1000, Cost: 2.0228\n", + " and the parameters are [-2.48236296 3.41561798] -4.400158754161494 ;\n", + "Epoch 360/1000, Cost: 2.6342\n", + " and the parameters are [-2.48236101 3.4156864 ] -4.400158955736866 ;\n", + "Epoch 360/1000, Cost: 3.8362\n", + " and the parameters are [-2.48238957 3.41574659] -4.4001492998007645 ;\n", + "Epoch 360/1000, Cost: 5.4877\n", + " and the parameters are [-2.48247458 3.41567294] -4.4001890914132495 ;\n", + "Epoch 360/1000, Cost: 2.8995\n", + " and the parameters are [-2.48251495 3.41563716] -4.400240533384543 ;\n", + "Epoch 360/1000, Cost: 4.2744\n", + " and the parameters are [-2.48252792 3.41562843] -4.4002734248403925 ;\n", + "Epoch 360/1000, Cost: 1.5254\n", + " and the parameters are [-2.48251123 3.415725 ] -4.400236622289789 ;\n", + "Epoch 360/1000, Cost: 3.3306\n", + " and the parameters are [-2.48259249 3.41572226] -4.400234044199249 ;\n", + "Epoch 360/1000, Cost: 3.2629\n", + " and the parameters are [-2.4825738 3.41573383] -4.400259162861055 ;\n", + "Epoch 360/1000, Cost: 3.3355\n", + " and the parameters are [-2.48265623 3.41585791] -4.400157976061455 ;\n", + "Epoch 360/1000, Cost: 2.6711\n", + " and the parameters are [-2.48266078 3.41587022] -4.400195238736159 ;\n", + "Epoch 360/1000, Cost: 1.8788\n", + " and the parameters are [-2.48268677 3.4159257 ] -4.400183780202511 ;\n", + "Epoch 360/1000, Cost: 2.5179\n", + " and the parameters are [-2.48272435 3.41587828] -4.4002443234445145 ;\n", + "Epoch 360/1000, Cost: 2.7822\n", + " and the parameters are [-2.48275662 3.4159445 ] -4.400218465832717 ;\n", + "Epoch 360/1000, Cost: 1.6170\n", + " and the parameters are [-2.48279368 3.41597648] -4.400208340347718 ;\n", + "Epoch 360/1000, Cost: 4.1089\n", + " and the parameters are [-2.48266733 3.4160237 ] -4.40027574139641 ;\n", + "Epoch 360/1000, Cost: 5.7986\n", + " and the parameters are [-2.48270109 3.4159345 ] -4.4003619066793895 ;\n", + "Epoch 360/1000, Cost: 3.4660\n", + " and the parameters are [-2.48276057 3.41588752] -4.400400307424098 ;\n", + "Epoch 360/1000, Cost: 2.6834\n", + " and the parameters are [-2.48279364 3.41584666] -4.400462866595003 ;\n", + "Epoch 360/1000, Cost: 5.7045\n", + " and the parameters are [-2.48286649 3.41581107] -4.400479815271165 ;\n", + "Epoch 360/1000, Cost: 6.3551\n", + " and the parameters are [-2.48279844 3.41589089] -4.400487083854969 ;\n", + "Epoch 360/1000, Cost: 2.7998\n", + " and the parameters are [-2.48284417 3.4158768 ] -4.4005193383847665 ;\n", + "Epoch 360/1000, Cost: 1.7936\n", + " and the parameters are [-2.48284056 3.41596134] -4.4005020927058665 ;\n", + "Epoch 360/1000, Cost: 3.4041\n", + " and the parameters are [-2.48277867 3.41600258] -4.400545140600225 ;\n", + "Epoch 360/1000, Cost: 3.0651\n", + " and the parameters are [-2.48270976 3.41608225] -4.400552559819943 ;\n", + "Epoch 360/1000, Cost: 3.4315\n", + " and the parameters are [-2.48273396 3.41608814] -4.400563573022248 ;\n", + "Epoch 360/1000, Cost: 4.1836\n", + " and the parameters are [-2.4826397 3.41608918] -4.400622988969382 ;\n", + "Epoch 360/1000, Cost: 1.7789\n", + " and the parameters are [-2.48265391 3.41609754] -4.40064542026105 ;\n", + "Epoch 360/1000, Cost: 2.5734\n", + " and the parameters are [-2.4826649 3.41614539] -4.40064355902845 ;\n", + "Epoch 360/1000, Cost: 4.6589\n", + " and the parameters are [-2.48264529 3.41620767] -4.400653493457426 ;\n", + "Epoch 360/1000, Cost: 4.0401\n", + " and the parameters are [-2.48271433 3.41613585] -4.400691866572855 ;\n", + "Epoch 360/1000, Cost: 3.7958\n", + " and the parameters are [-2.48278055 3.41620141] -4.400644218712132 ;\n", + "Epoch 360/1000, Cost: 7.0956\n", + " and the parameters are [-2.48291538 3.41612908] -4.400653688173433 ;\n", + "Epoch 360/1000, Cost: 2.6368\n", + " and the parameters are [-2.48290344 3.41619023] -4.4006571237568375 ;\n", + "Epoch 360/1000, Cost: 4.9626\n", + " and the parameters are [-2.48288721 3.4161484 ] -4.400728321738032 ;\n", + "Epoch 360/1000, Cost: 2.0616\n", + " and the parameters are [-2.48289962 3.41612109] -4.400782304762764 ;\n", + "Epoch 360/1000, Cost: 6.1918\n", + " and the parameters are [-2.4829473 3.41612013] -4.400760662150741 ;\n", + "Epoch 360/1000, Cost: 3.1965\n", + " and the parameters are [-2.48302193 3.41603258] -4.400810930274843 ;\n", + "Epoch 360/1000, Cost: 1.7030\n", + " and the parameters are [-2.48306505 3.4161268 ] -4.400752798039713 ;\n", + "Epoch 360/1000, Cost: 3.6404\n", + " and the parameters are [-2.48306857 3.41622285] -4.400690592883893 ;\n", + "Epoch 360/1000, Cost: 2.9243\n", + " and the parameters are [-2.48307954 3.41626055] -4.400701493811514 ;\n", + "Epoch 360/1000, Cost: 5.6400\n", + " and the parameters are [-2.48304485 3.41633897] -4.400696950557264 ;\n", + "Epoch 360/1000, Cost: 3.6481\n", + " and the parameters are [-2.48300273 3.41637331] -4.40073594479491 ;\n", + "Epoch 360/1000, Cost: 2.3874\n", + " and the parameters are [-2.48304651 3.4163629 ] -4.400757316609499 ;\n", + "Epoch 360/1000, Cost: 2.7179\n", + " and the parameters are [-2.48303786 3.41641469] -4.400756802922968 ;\n", + "Epoch 360/1000, Cost: 7.0601\n", + " and the parameters are [-2.48297559 3.41653441] -4.400722944906276 ;\n", + "Epoch 360/1000, Cost: 3.0632\n", + " and the parameters are [-2.48304726 3.41646872] -4.400764797232596 ;\n", + "Epoch 360/1000, Cost: 2.6077\n", + " and the parameters are [-2.48306597 3.41649783] -4.400775598804126 ;\n", + "Epoch 360/1000, Cost: 5.0060\n", + " and the parameters are [-2.48302868 3.41656498] -4.400777934188434 ;\n", + "Epoch 360/1000, Cost: 2.1366\n", + " and the parameters are [-2.48305531 3.41663556] -4.4007368108988425 ;\n", + "Epoch 360/1000, Cost: 4.5643\n", + " and the parameters are [-2.48299079 3.41676822] -4.400712902868362 ;\n", + "Epoch 360/1000, Cost: 2.3116\n", + " and the parameters are [-2.48303528 3.41675838] -4.400739435260076 ;\n", + "Epoch 360/1000, Cost: 2.5335\n", + " and the parameters are [-2.48309146 3.41675589] -4.400745732930426 ;\n", + "Epoch 360/1000, Cost: 3.8540\n", + " and the parameters are [-2.48310485 3.41674116] -4.40077752609629 ;\n", + "Epoch 360/1000, Cost: 6.2673\n", + " and the parameters are [-2.48312182 3.41664579] -4.400848777503787 ;\n", + "Epoch 360/1000, Cost: 2.9182\n", + " and the parameters are [-2.48315658 3.41675946] -4.400783930760391 ;\n", + "Epoch 360/1000, Cost: 2.6410\n", + " and the parameters are [-2.48318011 3.41675872] -4.400813479336179 ;\n", + "Epoch 360/1000, Cost: 3.3359\n", + " and the parameters are [-2.48327294 3.41668474] -4.400862807135105 ;\n", + "Epoch 360/1000, Cost: 7.2397\n", + " and the parameters are [-2.48327206 3.41657768] -4.4009652385961875 ;\n", + "Epoch 360/1000, Cost: 4.2065\n", + " and the parameters are [-2.48328889 3.41657657] -4.401021481820944 ;\n", + "Epoch 360/1000, Cost: 3.7489\n", + " and the parameters are [-2.48336567 3.41653604] -4.4010450530488106 ;\n", + "Epoch 360/1000, Cost: 3.5257\n", + " and the parameters are [-2.48331068 3.41663605] -4.40102226685035 ;\n", + "Epoch 360/1000, Cost: 3.3288\n", + " and the parameters are [-2.48327426 3.416792 ] -4.400960587481931 ;\n", + "Epoch 360/1000, Cost: 2.1789\n", + " and the parameters are [-2.48330798 3.41681856] -4.400970196107754 ;\n", + "Epoch 360/1000, Cost: 2.2953\n", + " and the parameters are [-2.48335993 3.41681563] -4.40098994300915 ;\n", + "Epoch 360/1000, Cost: 4.1397\n", + " and the parameters are [-2.48330634 3.41680664] -4.401069446370116 ;\n", + "Epoch 360/1000, Cost: 2.9665\n", + " and the parameters are [-2.48338099 3.41673365] -4.401132651734233 ;\n", + "Epoch 360/1000, Cost: 2.5795\n", + " and the parameters are [-2.48340313 3.41676205] -4.40114024238328 ;\n", + "Epoch 360/1000, Cost: 3.7607\n", + " and the parameters are [-2.48343536 3.41671058] -4.40119478079817 ;\n", + "Epoch 360/1000, Cost: 2.5513\n", + " and the parameters are [-2.48347076 3.4167745 ] -4.401169334247856 ;\n", + "Epoch 360/1000, Cost: 4.8546\n", + " and the parameters are [-2.48349424 3.41663922] -4.4012672066931575 ;\n", + "Epoch 360/1000, Cost: 3.7532\n", + " and the parameters are [-2.48348447 3.41666304] -4.401292472935646 ;\n", + "Epoch 360/1000, Cost: 3.6845\n", + " and the parameters are [-2.48352643 3.41675943] -4.401237447536507 ;\n", + "Epoch 360/1000, Cost: 4.6606\n", + " and the parameters are [-2.48352304 3.41691781] -4.401133909719687 ;\n", + "Epoch 360/1000, Cost: 2.5861\n", + " and the parameters are [-2.48352109 3.41700088] -4.401119550091519 ;\n", + "Epoch 360/1000, Cost: 3.7777\n", + " and the parameters are [-2.48349351 3.41699947] -4.401179215376874 ;\n", + "Epoch 360/1000, Cost: 1.2609\n", + " and the parameters are [-2.48348554 3.4170472 ] -4.401184196121575 ;\n", + "Epoch 360/1000, Cost: 3.0934\n", + " and the parameters are [-2.48350551 3.41712431] -4.401160537394123 ;\n", + "Epoch 360/1000, Cost: 4.0292\n", + " and the parameters are [-2.4835086 3.41714951] -4.4011713288301415 ;\n", + "Epoch 360/1000, Cost: 5.1119\n", + " and the parameters are [-2.48353338 3.41706447] -4.401264131061254 ;\n", + "Epoch 360/1000, Cost: 1.6301\n", + " and the parameters are [-2.48357983 3.41712189] -4.40122607044324 ;\n", + "Epoch 360/1000, Cost: 3.0078\n", + " and the parameters are [-2.48356066 3.41712015] -4.401276882853659 ;\n", + "Epoch 360/1000, Cost: 2.7441\n", + " and the parameters are [-2.48355506 3.41715203] -4.401306199660434 ;\n", + "Epoch 360/1000, Cost: 4.2065\n", + " and the parameters are [-2.48343098 3.41734314] -4.401276286270169 ;\n", + "Epoch 360/1000, Cost: 4.0363\n", + " and the parameters are [-2.48338274 3.41734406] -4.401329793674248 ;\n", + "Epoch 360/1000, Cost: 2.9904\n", + " and the parameters are [-2.48346103 3.41725232] -4.401396370818889 ;\n", + "Epoch 360/1000, Cost: 3.3903\n", + " and the parameters are [-2.4834861 3.41734637] -4.4013468166516105 ;\n", + "Epoch 360/1000, Cost: 2.2514\n", + " and the parameters are [-2.48350013 3.41737146] -4.401364177813117 ;\n", + "Epoch 360/1000, Cost: 3.2017\n", + " and the parameters are [-2.48358629 3.41737224] -4.401366880423835 ;\n", + "Epoch 360/1000, Cost: 3.2846\n", + " and the parameters are [-2.48361429 3.41739136] -4.40137541480237 ;\n", + "Epoch 360/1000, Cost: 11.2969\n", + " and the parameters are [-2.48365821 3.41722527] -4.401442243695538 ;\n", + "Epoch 360/1000, Cost: 3.1529\n", + " and the parameters are [-2.48367294 3.41721165] -4.401491151247069 ;\n", + "Epoch 360/1000, Cost: 1.0777\n", + " and the parameters are [-2.48368696 3.41722548] -4.401500308161365 ;\n", + "Epoch 360/1000, Cost: 1.5841\n", + " and the parameters are [-2.48367916 3.41726542] -4.4015121291042 ;\n", + "Epoch 360/1000, Cost: 2.1098\n", + " and the parameters are [-2.48360583 3.41737434] -4.401513777131145 ;\n", + "Epoch 360/1000, Cost: 2.8350\n", + " and the parameters are [-2.48360546 3.41734198] -4.401569496086769 ;\n", + "Epoch 360/1000, Cost: 4.0941\n", + " and the parameters are [-2.48364732 3.41723237] -4.401644715815834 ;\n", + "Epoch 360/1000, Cost: 3.4484\n", + " and the parameters are [-2.48365282 3.41719347] -4.401716804231237 ;\n", + "Epoch 360/1000, Cost: 3.0475\n", + " and the parameters are [-2.48359185 3.41732664] -4.401695941271788 ;\n", + "Epoch 360/1000, Cost: 3.2189\n", + " and the parameters are [-2.4835548 3.417432 ] -4.401668441292981 ;\n", + "Epoch 360/1000, Cost: 6.7614\n", + " and the parameters are [-2.48362397 3.41737106] -4.401698019419604 ;\n", + "Epoch 360/1000, Cost: 4.0747\n", + " and the parameters are [-2.48362045 3.41734523] -4.4017418566267565 ;\n", + "Epoch 360/1000, Cost: 2.8585\n", + " and the parameters are [-2.48364447 3.41735938] -4.40176435873157 ;\n", + "Epoch 360/1000, Cost: 4.1990\n", + " and the parameters are [-2.48372864 3.4172218 ] -4.401865942207053 ;\n", + "Epoch 360/1000, Cost: 3.6350\n", + " and the parameters are [-2.48383455 3.41715382] -4.401895620818994 ;\n", + "Epoch 360/1000, Cost: 6.4297\n", + " and the parameters are [-2.48406902 3.41687019] -4.40200578382028 ;\n", + "Epoch 360/1000, Cost: 2.0040\n", + " and the parameters are [-2.48405612 3.41692799] -4.402012361187575 ;\n", + "Epoch 360/1000, Cost: 3.2699\n", + " and the parameters are [-2.48401843 3.41698305] -4.402021829665332 ;\n", + "Epoch 360/1000, Cost: 2.7083\n", + " and the parameters are [-2.48397848 3.4170438 ] -4.402031421546582 ;\n", + "Epoch 360/1000, Cost: 4.3161\n", + " and the parameters are [-2.4839855 3.4170182] -4.402046949240555 ;\n", + "Epoch 360/1000, Cost: 2.7458\n", + " and the parameters are [-2.48398039 3.4170981 ] -4.402036496716025 ;\n", + "Epoch 360/1000, Cost: 2.4677\n", + " and the parameters are [-2.48400104 3.41707031] -4.402093901178187 ;\n", + "Epoch 360/1000, Cost: 2.2153\n", + " and the parameters are [-2.48399667 3.41715469] -4.402070813649143 ;\n", + "Epoch 360/1000, Cost: 2.7205\n", + " and the parameters are [-2.48407579 3.41705606] -4.402132323345153 ;\n", + "Epoch 360/1000, Cost: 3.4312\n", + " and the parameters are [-2.48412224 3.41700884] -4.402179833983758 ;\n", + "Epoch 360/1000, Cost: 5.4027\n", + " and the parameters are [-2.48416166 3.41701722] -4.402207074662171 ;\n", + "Epoch 360/1000, Cost: 4.6600\n", + " and the parameters are [-2.48415449 3.41699891] -4.402266027339503 ;\n", + "Epoch 360/1000, Cost: 2.3889\n", + " and the parameters are [-2.48410819 3.41706994] -4.402270393035914 ;\n", + "Epoch 360/1000, Cost: 4.9307\n", + " and the parameters are [-2.48409131 3.41716488] -4.402244905975389 ;\n", + "Epoch 360/1000, Cost: 1.9264\n", + " and the parameters are [-2.48407523 3.41722903] -4.402251009778961 ;\n", + "Epoch 360/1000, Cost: 2.9841\n", + " and the parameters are [-2.48407752 3.4173297 ] -4.402216814200801 ;\n", + "Epoch 360/1000, Cost: 5.4696\n", + " and the parameters are [-2.48411927 3.41722808] -4.402299687156688 ;\n", + "Epoch 370/1000, Cost: 1.1220\n", + " and the parameters are [-2.50322626 3.44078936] -4.4363012427927 ;\n", + "Epoch 370/1000, Cost: 2.6667\n", + " and the parameters are [-2.50324243 3.44082006] -4.436319011569371 ;\n", + "Epoch 370/1000, Cost: 4.3512\n", + " and the parameters are [-2.50327752 3.44086188] -4.4362925677985094 ;\n", + "Epoch 370/1000, Cost: 3.8706\n", + " and the parameters are [-2.50330304 3.44080855] -4.436344462725014 ;\n", + "Epoch 370/1000, Cost: 1.4915\n", + " and the parameters are [-2.50332823 3.44079928] -4.436378485513992 ;\n", + "Epoch 370/1000, Cost: 5.3804\n", + " and the parameters are [-2.50332673 3.44076748] -4.436461290502953 ;\n", + "Epoch 370/1000, Cost: 5.9072\n", + " and the parameters are [-2.50337727 3.44068399] -4.436532572963774 ;\n", + "Epoch 370/1000, Cost: 3.0787\n", + " and the parameters are [-2.50342147 3.44059354] -4.4366123532043815 ;\n", + "Epoch 370/1000, Cost: 1.8204\n", + " and the parameters are [-2.50341448 3.44066528] -4.436606853016859 ;\n", + "Epoch 370/1000, Cost: 4.5281\n", + " and the parameters are [-2.50336724 3.44068154] -4.436667450424323 ;\n", + "Epoch 370/1000, Cost: 1.9745\n", + " and the parameters are [-2.50338179 3.44074293] -4.436659104615028 ;\n", + "Epoch 370/1000, Cost: 5.3933\n", + " and the parameters are [-2.50328528 3.44084407] -4.4366778051318425 ;\n", + "Epoch 370/1000, Cost: 2.7662\n", + " and the parameters are [-2.50325408 3.44092992] -4.436663826362607 ;\n", + "Epoch 370/1000, Cost: 1.8258\n", + " and the parameters are [-2.50326028 3.44099687] -4.436647080191552 ;\n", + "Epoch 370/1000, Cost: 7.2835\n", + " and the parameters are [-2.50326713 3.44093883] -4.436699903232934 ;\n", + "Epoch 370/1000, Cost: 4.2898\n", + " and the parameters are [-2.50331407 3.44092837] -4.43672555757025 ;\n", + "Epoch 370/1000, Cost: 3.1496\n", + " and the parameters are [-2.50336665 3.4409952 ] -4.436691871159191 ;\n", + "Epoch 370/1000, Cost: 1.9403\n", + " and the parameters are [-2.50340606 3.44099126] -4.436712875173455 ;\n", + "Epoch 370/1000, Cost: 2.4379\n", + " and the parameters are [-2.50341143 3.44101863] -4.436728470999009 ;\n", + "Epoch 370/1000, Cost: 2.2608\n", + " and the parameters are [-2.50337101 3.44109733] -4.436734907352794 ;\n", + "Epoch 370/1000, Cost: 4.0967\n", + " and the parameters are [-2.50341948 3.44109001] -4.43677214310641 ;\n", + "Epoch 370/1000, Cost: 5.7760\n", + " and the parameters are [-2.50340642 3.4411876 ] -4.436727431072365 ;\n", + "Epoch 370/1000, Cost: 3.3088\n", + " and the parameters are [-2.50347331 3.44125738] -4.436664478361911 ;\n", + "Epoch 370/1000, Cost: 1.9506\n", + " and the parameters are [-2.50347671 3.44131634] -4.436663452003893 ;\n", + "Epoch 370/1000, Cost: 2.6704\n", + " and the parameters are [-2.50353185 3.44125596] -4.436718271650064 ;\n", + "Epoch 370/1000, Cost: 4.6859\n", + " and the parameters are [-2.50358043 3.44120491] -4.436745095327147 ;\n", + "Epoch 370/1000, Cost: 3.8400\n", + " and the parameters are [-2.50358627 3.44113889] -4.436820410281493 ;\n", + "Epoch 370/1000, Cost: 3.9373\n", + " and the parameters are [-2.50361314 3.44109193] -4.436890605707483 ;\n", + "Epoch 370/1000, Cost: 3.7900\n", + " and the parameters are [-2.5035484 3.44103025] -4.43698850625771 ;\n", + "Epoch 370/1000, Cost: 3.0234\n", + " and the parameters are [-2.50357104 3.44096904] -4.437074915314771 ;\n", + "Epoch 370/1000, Cost: 4.0999\n", + " and the parameters are [-2.50359541 3.44094843] -4.437112077966952 ;\n", + "Epoch 370/1000, Cost: 8.3931\n", + " and the parameters are [-2.50360819 3.44092398] -4.437104133616527 ;\n", + "Epoch 370/1000, Cost: 4.1171\n", + " and the parameters are [-2.50359763 3.44094745] -4.437097561628057 ;\n", + "Epoch 370/1000, Cost: 6.2898\n", + " and the parameters are [-2.5035948 3.44095965] -4.437089646107617 ;\n", + "Epoch 370/1000, Cost: 5.6933\n", + " and the parameters are [-2.50356122 3.44093862] -4.437135437828354 ;\n", + "Epoch 370/1000, Cost: 1.5249\n", + " and the parameters are [-2.50352547 3.44096475] -4.437169887627027 ;\n", + "Epoch 370/1000, Cost: 4.1288\n", + " and the parameters are [-2.50356144 3.44098145] -4.437165405356321 ;\n", + "Epoch 370/1000, Cost: 4.4573\n", + " and the parameters are [-2.50356384 3.4411125 ] -4.437088085934759 ;\n", + "Epoch 370/1000, Cost: 4.2764\n", + " and the parameters are [-2.50365502 3.44101672] -4.4371232437410235 ;\n", + "Epoch 370/1000, Cost: 2.3260\n", + " and the parameters are [-2.50361246 3.44111124] -4.437120888275786 ;\n", + "Epoch 370/1000, Cost: 2.9509\n", + " and the parameters are [-2.50368559 3.44114385] -4.4370847052720075 ;\n", + "Epoch 370/1000, Cost: 5.9051\n", + " and the parameters are [-2.50372748 3.44124043] -4.4370118609668285 ;\n", + "Epoch 370/1000, Cost: 2.2438\n", + " and the parameters are [-2.50370348 3.44129298] -4.437029729937546 ;\n", + "Epoch 370/1000, Cost: 2.4490\n", + " and the parameters are [-2.50365522 3.44130669] -4.43709096711729 ;\n", + "Epoch 370/1000, Cost: 3.9794\n", + " and the parameters are [-2.50364545 3.44133151] -4.437115202580666 ;\n", + "Epoch 370/1000, Cost: 4.0179\n", + " and the parameters are [-2.50366543 3.44138739] -4.437103879890634 ;\n", + "Epoch 370/1000, Cost: 1.7408\n", + " and the parameters are [-2.50364497 3.44148179] -4.437085462882215 ;\n", + "Epoch 370/1000, Cost: 2.5731\n", + " and the parameters are [-2.5036798 3.44147437] -4.437118774914808 ;\n", + "Epoch 370/1000, Cost: 3.3932\n", + " and the parameters are [-2.5036729 3.44155862] -4.4370952826469034 ;\n", + "Epoch 370/1000, Cost: 3.7551\n", + " and the parameters are [-2.50366555 3.44158669] -4.437111349126526 ;\n", + "Epoch 370/1000, Cost: 1.4521\n", + " and the parameters are [-2.50366366 3.44158581] -4.4371494888162335 ;\n", + "Epoch 370/1000, Cost: 5.9370\n", + " and the parameters are [-2.50366982 3.44158409] -4.437167417706789 ;\n", + "Epoch 370/1000, Cost: 4.4180\n", + " and the parameters are [-2.50370245 3.44152565] -4.437207058614905 ;\n", + "Epoch 370/1000, Cost: 2.4856\n", + " and the parameters are [-2.50373768 3.44152042] -4.4372376594413865 ;\n", + "Epoch 370/1000, Cost: 2.9315\n", + " and the parameters are [-2.50372471 3.44148627] -4.437310493501776 ;\n", + "Epoch 370/1000, Cost: 3.5226\n", + " and the parameters are [-2.50372299 3.44155686] -4.437286889280838 ;\n", + "Epoch 370/1000, Cost: 5.7096\n", + " and the parameters are [-2.50383059 3.44144164] -4.437352058368684 ;\n", + "Epoch 370/1000, Cost: 2.0530\n", + " and the parameters are [-2.50382533 3.44155392] -4.437310294550467 ;\n", + "Epoch 370/1000, Cost: 1.4062\n", + " and the parameters are [-2.50381354 3.44157803] -4.437335251623755 ;\n", + "Epoch 370/1000, Cost: 2.0889\n", + " and the parameters are [-2.50378775 3.44158407] -4.437385452006792 ;\n", + "Epoch 370/1000, Cost: 3.5204\n", + " and the parameters are [-2.50375665 3.44163717] -4.437405933185233 ;\n", + "Epoch 370/1000, Cost: 2.7336\n", + " and the parameters are [-2.50375816 3.44167077] -4.437436237794915 ;\n", + "Epoch 370/1000, Cost: 2.8996\n", + " and the parameters are [-2.50376338 3.44183055] -4.437352960593999 ;\n", + "Epoch 370/1000, Cost: 2.8443\n", + " and the parameters are [-2.50380607 3.44185957] -4.43734758993287 ;\n", + "Epoch 370/1000, Cost: 1.7374\n", + " and the parameters are [-2.50381065 3.44190404] -4.437353470900582 ;\n", + "Epoch 370/1000, Cost: 5.9000\n", + " and the parameters are [-2.50381429 3.44192953] -4.437350118983541 ;\n", + "Epoch 370/1000, Cost: 1.5214\n", + " and the parameters are [-2.50383924 3.44197792] -4.437331795796297 ;\n", + "Epoch 370/1000, Cost: 1.9914\n", + " and the parameters are [-2.50382599 3.4419684 ] -4.4373860448849 ;\n", + "Epoch 370/1000, Cost: 3.7764\n", + " and the parameters are [-2.5037791 3.44198719] -4.437409737401728 ;\n", + "Epoch 370/1000, Cost: 4.2827\n", + " and the parameters are [-2.50379121 3.44208284] -4.4373752750024 ;\n", + "Epoch 370/1000, Cost: 2.7700\n", + " and the parameters are [-2.50378521 3.44204156] -4.43745185145368 ;\n", + "Epoch 370/1000, Cost: 3.7167\n", + " and the parameters are [-2.50384411 3.44191173] -4.437554795254882 ;\n", + "Epoch 370/1000, Cost: 2.5658\n", + " and the parameters are [-2.50383594 3.44196315] -4.437561521210579 ;\n", + "Epoch 370/1000, Cost: 4.7879\n", + " and the parameters are [-2.50391434 3.44190122] -4.437577523446391 ;\n", + "Epoch 370/1000, Cost: 6.6610\n", + " and the parameters are [-2.50396697 3.44180055] -4.4376463373562 ;\n", + "Epoch 370/1000, Cost: 5.8844\n", + " and the parameters are [-2.50390901 3.44184362] -4.4376601684159755 ;\n", + "Epoch 370/1000, Cost: 2.0076\n", + " and the parameters are [-2.50394018 3.44183451] -4.437696456493938 ;\n", + "Epoch 370/1000, Cost: 4.0763\n", + " and the parameters are [-2.50402111 3.44167129] -4.437802521548067 ;\n", + "Epoch 370/1000, Cost: 2.8328\n", + " and the parameters are [-2.50404872 3.44162424] -4.437856827564327 ;\n", + "Epoch 370/1000, Cost: 1.9777\n", + " and the parameters are [-2.50406609 3.44165534] -4.437862314660362 ;\n", + "Epoch 370/1000, Cost: 5.8726\n", + " and the parameters are [-2.5042204 3.44136273] -4.438003970331558 ;\n", + "Epoch 370/1000, Cost: 1.2345\n", + " and the parameters are [-2.50423219 3.44142787] -4.437978782274752 ;\n", + "Epoch 370/1000, Cost: 3.5933\n", + " and the parameters are [-2.50422814 3.44152731] -4.437946503513322 ;\n", + "Epoch 370/1000, Cost: 2.9460\n", + " and the parameters are [-2.50424838 3.44151989] -4.437980136450081 ;\n", + "Epoch 370/1000, Cost: 6.2482\n", + " and the parameters are [-2.50416431 3.44150922] -4.438057332083513 ;\n", + "Epoch 370/1000, Cost: 5.5162\n", + " and the parameters are [-2.50423633 3.44148335] -4.4380678784625225 ;\n", + "Epoch 370/1000, Cost: 4.0257\n", + " and the parameters are [-2.50430925 3.44153527] -4.438029316840739 ;\n", + "Epoch 370/1000, Cost: 6.9103\n", + " and the parameters are [-2.50441316 3.44148066] -4.438007159352329 ;\n", + "Epoch 370/1000, Cost: 4.9265\n", + " and the parameters are [-2.50432719 3.44154929] -4.4380099910659 ;\n", + "Epoch 370/1000, Cost: 3.9495\n", + " and the parameters are [-2.50434752 3.44165709] -4.437943314912284 ;\n", + "Epoch 370/1000, Cost: 3.7830\n", + " and the parameters are [-2.50437335 3.44171963] -4.437922690321816 ;\n", + "Epoch 370/1000, Cost: 3.2589\n", + " and the parameters are [-2.50438198 3.44163807] -4.438008377121016 ;\n", + "Epoch 370/1000, Cost: 3.6230\n", + " and the parameters are [-2.50442343 3.4416629 ] -4.438003224460067 ;\n", + "Epoch 370/1000, Cost: 3.8783\n", + " and the parameters are [-2.50436284 3.44168838] -4.438049237010111 ;\n", + "Epoch 370/1000, Cost: 2.3633\n", + " and the parameters are [-2.5043516 3.44176788] -4.43804007463577 ;\n", + "Epoch 370/1000, Cost: 2.2794\n", + " and the parameters are [-2.50441178 3.4416909 ] -4.438097682529556 ;\n", + "Epoch 370/1000, Cost: 2.1308\n", + " and the parameters are [-2.50441994 3.44166802] -4.438152134841527 ;\n", + "Epoch 370/1000, Cost: 2.6875\n", + " and the parameters are [-2.50444975 3.44167338] -4.438179234232972 ;\n", + "Epoch 370/1000, Cost: 4.3711\n", + " and the parameters are [-2.50448123 3.44161192] -4.4382575726138285 ;\n", + "Epoch 370/1000, Cost: 3.3331\n", + " and the parameters are [-2.50454455 3.44160514] -4.43825819536091 ;\n", + "Epoch 370/1000, Cost: 2.9881\n", + " and the parameters are [-2.50453134 3.44155331] -4.438340577173417 ;\n", + "Epoch 370/1000, Cost: 5.7565\n", + " and the parameters are [-2.5045438 3.44146293] -4.4384197912404435 ;\n", + "Epoch 370/1000, Cost: 1.9442\n", + " and the parameters are [-2.5045948 3.44139623] -4.438482892446983 ;\n", + "Epoch 370/1000, Cost: 4.7341\n", + " and the parameters are [-2.50458249 3.44144232] -4.438472157150597 ;\n", + "Epoch 370/1000, Cost: 2.7962\n", + " and the parameters are [-2.5046485 3.44134627] -4.438558171223175 ;\n", + "Epoch 370/1000, Cost: 1.5533\n", + " and the parameters are [-2.50471521 3.44132224] -4.438570590622531 ;\n", + "Epoch 370/1000, Cost: 4.6827\n", + " and the parameters are [-2.50472845 3.44133927] -4.438582815419704 ;\n", + "Epoch 370/1000, Cost: 4.8382\n", + " and the parameters are [-2.50473288 3.44132121] -4.438611301327173 ;\n", + "Epoch 370/1000, Cost: 3.1968\n", + " and the parameters are [-2.50468505 3.44132842] -4.438675304600064 ;\n", + "Epoch 370/1000, Cost: 3.5668\n", + " and the parameters are [-2.50470997 3.44125422] -4.438751363999012 ;\n", + "Epoch 370/1000, Cost: 3.0195\n", + " and the parameters are [-2.50473845 3.44118457] -4.438827858208854 ;\n", + "Epoch 370/1000, Cost: 3.1055\n", + " and the parameters are [-2.50471757 3.44121997] -4.438851617482521 ;\n", + "Epoch 370/1000, Cost: 2.8657\n", + " and the parameters are [-2.50473215 3.44120128] -4.438893871723131 ;\n", + "Epoch 370/1000, Cost: 3.3419\n", + " and the parameters are [-2.50478072 3.44120933] -4.438904825448002 ;\n", + "Epoch 370/1000, Cost: 3.2437\n", + " and the parameters are [-2.50480726 3.44128647] -4.438876728629767 ;\n", + "Epoch 370/1000, Cost: 3.3908\n", + " and the parameters are [-2.50486902 3.44122705] -4.438921704604567 ;\n", + "Epoch 370/1000, Cost: 3.1308\n", + " and the parameters are [-2.50486178 3.44129054] -4.438928385393637 ;\n", + "Epoch 370/1000, Cost: 4.1388\n", + " and the parameters are [-2.50500436 3.44134614] -4.438840082573713 ;\n", + "Epoch 370/1000, Cost: 3.5577\n", + " and the parameters are [-2.50511318 3.44130518] -4.438856918034701 ;\n", + "Epoch 370/1000, Cost: 2.6919\n", + " and the parameters are [-2.50516124 3.44136409] -4.438841672548608 ;\n", + "Epoch 370/1000, Cost: 3.8379\n", + " and the parameters are [-2.50514832 3.4414673 ] -4.43882177243011 ;\n", + "Epoch 370/1000, Cost: 2.2148\n", + " and the parameters are [-2.50512199 3.44155968] -4.438808286055238 ;\n", + "Epoch 370/1000, Cost: 2.0163\n", + " and the parameters are [-2.50510702 3.44155671] -4.438863958361555 ;\n", + "Epoch 370/1000, Cost: 1.9580\n", + " and the parameters are [-2.50513779 3.44160571] -4.438849466500363 ;\n", + "Epoch 370/1000, Cost: 5.5676\n", + " and the parameters are [-2.50517859 3.44159446] -4.438867948690353 ;\n", + "Epoch 370/1000, Cost: 1.8825\n", + " and the parameters are [-2.50515745 3.44161967] -4.438901518564817 ;\n", + "Epoch 370/1000, Cost: 5.0689\n", + " and the parameters are [-2.50514497 3.44167783] -4.438900871475429 ;\n", + "Epoch 370/1000, Cost: 3.4375\n", + " and the parameters are [-2.50524819 3.44156061] -4.4389767950055266 ;\n", + "Epoch 370/1000, Cost: 3.7776\n", + " and the parameters are [-2.50522304 3.44160792] -4.43898926526118 ;\n", + "Epoch 370/1000, Cost: 4.2173\n", + " and the parameters are [-2.50524637 3.44168732] -4.4389675740048355 ;\n", + "Epoch 370/1000, Cost: 2.9848\n", + " and the parameters are [-2.50529761 3.44167573] -4.438990142105624 ;\n", + "Epoch 370/1000, Cost: 2.6126\n", + " and the parameters are [-2.505287 3.44171806] -4.43900965330505 ;\n", + "Epoch 370/1000, Cost: 4.2162\n", + " and the parameters are [-2.50527095 3.44179742] -4.438987257286273 ;\n", + "Epoch 370/1000, Cost: 4.8974\n", + " and the parameters are [-2.50524672 3.4417423 ] -4.4390743971955775 ;\n", + "Epoch 370/1000, Cost: 2.5274\n", + " and the parameters are [-2.50521511 3.44181752] -4.43907644111195 ;\n", + "Epoch 370/1000, Cost: 3.9066\n", + " and the parameters are [-2.50530989 3.44179739] -4.439095786014493 ;\n", + "Epoch 370/1000, Cost: 3.9719\n", + " and the parameters are [-2.50525846 3.44192773] -4.439054875367819 ;\n", + "Epoch 370/1000, Cost: 4.0315\n", + " and the parameters are [-2.50533682 3.44186725] -4.439091383431491 ;\n", + "Epoch 370/1000, Cost: 7.4125\n", + " and the parameters are [-2.50540674 3.44173936] -4.439126518132287 ;\n", + "Epoch 370/1000, Cost: 3.3277\n", + " and the parameters are [-2.50537187 3.44177136] -4.439171567632674 ;\n", + "Epoch 370/1000, Cost: 3.6981\n", + " and the parameters are [-2.50532655 3.4418918 ] -4.439142372425279 ;\n", + "Epoch 370/1000, Cost: 2.1885\n", + " and the parameters are [-2.50534157 3.44185807] -4.4391937769936805 ;\n", + "Epoch 370/1000, Cost: 1.9929\n", + " and the parameters are [-2.50536331 3.44185415] -4.439234429472008 ;\n", + "Epoch 370/1000, Cost: 3.9070\n", + " and the parameters are [-2.5053382 3.4419042] -4.4392475615113 ;\n", + "Epoch 370/1000, Cost: 4.1504\n", + " and the parameters are [-2.50545223 3.44175966] -4.4393358836058425 ;\n", + "Epoch 370/1000, Cost: 6.0801\n", + " and the parameters are [-2.50546463 3.44192681] -4.4392013328891275 ;\n", + "Epoch 370/1000, Cost: 5.2197\n", + " and the parameters are [-2.5054522 3.44184915] -4.439284803855169 ;\n", + "Epoch 370/1000, Cost: 4.3923\n", + " and the parameters are [-2.50544837 3.44197154] -4.439226004282397 ;\n", + "Epoch 370/1000, Cost: 2.1864\n", + " and the parameters are [-2.5055028 3.44198271] -4.439227708148624 ;\n", + "Epoch 370/1000, Cost: 7.0325\n", + " and the parameters are [-2.50545771 3.44199694] -4.439253588751778 ;\n", + "Epoch 370/1000, Cost: 3.9610\n", + " and the parameters are [-2.50544136 3.44213072] -4.439190491198273 ;\n", + "Epoch 370/1000, Cost: 3.2390\n", + " and the parameters are [-2.50544229 3.44216119] -4.439215082074004 ;\n", + "Epoch 370/1000, Cost: 4.7921\n", + " and the parameters are [-2.50548072 3.44221004] -4.439172199131932 ;\n", + "Epoch 370/1000, Cost: 3.7818\n", + " and the parameters are [-2.50539767 3.44236585] -4.439148906405057 ;\n", + "Epoch 370/1000, Cost: 3.3691\n", + " and the parameters are [-2.50541734 3.44227617] -4.439229839933341 ;\n", + "Epoch 370/1000, Cost: 3.0305\n", + " and the parameters are [-2.50541098 3.44231868] -4.439249686899279 ;\n", + "Epoch 370/1000, Cost: 2.0687\n", + " and the parameters are [-2.5054579 3.44231122] -4.4392699664777355 ;\n", + "Epoch 370/1000, Cost: 3.5255\n", + " and the parameters are [-2.50545728 3.44239601] -4.439252757687072 ;\n", + "Epoch 370/1000, Cost: 2.7868\n", + " and the parameters are [-2.50555348 3.44235292] -4.439272317841613 ;\n", + "Epoch 370/1000, Cost: 2.4927\n", + " and the parameters are [-2.50553962 3.44233637] -4.4393230945636715 ;\n", + "Epoch 370/1000, Cost: 6.2345\n", + " and the parameters are [-2.5055395 3.44238119] -4.439301905958345 ;\n", + "Epoch 370/1000, Cost: 2.0269\n", + " and the parameters are [-2.50553437 3.4424266 ] -4.4393165523315945 ;\n", + "Epoch 370/1000, Cost: 3.1183\n", + " and the parameters are [-2.50552747 3.44251173] -4.439290529894522 ;\n", + "Epoch 370/1000, Cost: 4.0008\n", + " and the parameters are [-2.505583 3.442519] -4.439272146857935 ;\n", + "Epoch 370/1000, Cost: 1.9926\n", + " and the parameters are [-2.50561814 3.44252608] -4.439283553775381 ;\n", + "Epoch 370/1000, Cost: 2.4722\n", + " and the parameters are [-2.50564686 3.44256639] -4.439273101098501 ;\n", + "Epoch 370/1000, Cost: 3.0233\n", + " and the parameters are [-2.50560053 3.44266664] -4.4392630228151155 ;\n", + "Epoch 370/1000, Cost: 2.4343\n", + " and the parameters are [-2.50556582 3.44276646] -4.4392421031698035 ;\n", + "Epoch 370/1000, Cost: 2.5917\n", + " and the parameters are [-2.50553795 3.44282501] -4.4392543926043775 ;\n", + "Epoch 370/1000, Cost: 3.8831\n", + " and the parameters are [-2.5055574 3.44276515] -4.439329937462271 ;\n", + "Epoch 370/1000, Cost: 1.3352\n", + " and the parameters are [-2.50554469 3.44284985] -4.439313670934208 ;\n", + "Epoch 370/1000, Cost: 3.0534\n", + " and the parameters are [-2.50554577 3.44297306] -4.4392489425796295 ;\n", + "Epoch 370/1000, Cost: 2.6652\n", + " and the parameters are [-2.50555862 3.44299371] -4.439279686807286 ;\n", + "Epoch 370/1000, Cost: 3.5932\n", + " and the parameters are [-2.50555429 3.44298123] -4.439331436003719 ;\n", + "Epoch 370/1000, Cost: 7.2862\n", + " and the parameters are [-2.50552448 3.44300021] -4.439313237886466 ;\n", + "Epoch 370/1000, Cost: 4.7164\n", + " and the parameters are [-2.50541941 3.44304818] -4.4393453537213405 ;\n", + "Epoch 370/1000, Cost: 2.9637\n", + " and the parameters are [-2.50544131 3.44309893] -4.439339029561391 ;\n", + "Epoch 370/1000, Cost: 5.0813\n", + " and the parameters are [-2.50547981 3.44305877] -4.4393800196805255 ;\n", + "Epoch 370/1000, Cost: 2.5345\n", + " and the parameters are [-2.50551739 3.44305443] -4.439395821136255 ;\n", + "Epoch 370/1000, Cost: 4.9315\n", + " and the parameters are [-2.50549742 3.44311529] -4.439367716673129 ;\n", + "Epoch 370/1000, Cost: 4.5532\n", + " and the parameters are [-2.50553823 3.44298043] -4.4394787155441415 ;\n", + "Epoch 370/1000, Cost: 4.3379\n", + " and the parameters are [-2.50541293 3.44300943] -4.439559009529317 ;\n", + "Epoch 370/1000, Cost: 5.3366\n", + " and the parameters are [-2.50542249 3.44299722] -4.439570563039142 ;\n", + "Epoch 370/1000, Cost: 2.9269\n", + " and the parameters are [-2.50532603 3.4430382 ] -4.439632833970501 ;\n", + "Epoch 370/1000, Cost: 3.8727\n", + " and the parameters are [-2.50532853 3.4430955 ] -4.439634539342635 ;\n", + "Epoch 370/1000, Cost: 2.9386\n", + " and the parameters are [-2.50529046 3.4430998 ] -4.439690113459738 ;\n", + "Epoch 370/1000, Cost: 1.9595\n", + " and the parameters are [-2.50529994 3.44317949] -4.439663108006135 ;\n", + "Epoch 370/1000, Cost: 8.3061\n", + " and the parameters are [-2.50534384 3.44307706] -4.439746387265226 ;\n", + "Epoch 370/1000, Cost: 2.7257\n", + " and the parameters are [-2.50531683 3.44314218] -4.439755649719644 ;\n", + "Epoch 370/1000, Cost: 1.3197\n", + " and the parameters are [-2.50529263 3.44320037] -4.439757707534369 ;\n", + "Epoch 370/1000, Cost: 3.2399\n", + " and the parameters are [-2.50525806 3.44326869] -4.439776227940786 ;\n", + "Epoch 370/1000, Cost: 4.4126\n", + " and the parameters are [-2.50532972 3.44319305] -4.439816220057211 ;\n", + "Epoch 370/1000, Cost: 1.9675\n", + " and the parameters are [-2.50531025 3.4432676 ] -4.439814705781841 ;\n", + "Epoch 370/1000, Cost: 3.4211\n", + " and the parameters are [-2.50530441 3.44328368] -4.43984419847321 ;\n", + "Epoch 370/1000, Cost: 3.6221\n", + " and the parameters are [-2.50528761 3.44340912] -4.439787026174397 ;\n", + "Epoch 370/1000, Cost: 1.7639\n", + " and the parameters are [-2.50526343 3.44343448] -4.439820220434753 ;\n", + "Epoch 370/1000, Cost: 2.3583\n", + " and the parameters are [-2.50526448 3.44342824] -4.43987162824714 ;\n", + "Epoch 370/1000, Cost: 4.9608\n", + " and the parameters are [-2.50524576 3.44344289] -4.439906304430506 ;\n", + "Epoch 370/1000, Cost: 1.5255\n", + " and the parameters are [-2.50527454 3.44345582] -4.439918439563787 ;\n", + "Epoch 370/1000, Cost: 3.3380\n", + " and the parameters are [-2.50531928 3.44334384] -4.440019361935657 ;\n", + "Epoch 380/1000, Cost: 3.2203\n", + " and the parameters are [-2.52400662 3.46614819] -4.473299406276637 ;\n", + "Epoch 380/1000, Cost: 4.0346\n", + " and the parameters are [-2.52408137 3.46602486] -4.4733635268152225 ;\n", + "Epoch 380/1000, Cost: 4.3210\n", + " and the parameters are [-2.52410841 3.46609355] -4.473324683003774 ;\n", + "Epoch 380/1000, Cost: 2.4267\n", + " and the parameters are [-2.52416198 3.46608607] -4.47333979469549 ;\n", + "Epoch 380/1000, Cost: 6.3811\n", + " and the parameters are [-2.52408582 3.46607922] -4.473385940303345 ;\n", + "Epoch 380/1000, Cost: 2.1383\n", + " and the parameters are [-2.52408927 3.4661228 ] -4.473390332892342 ;\n", + "Epoch 380/1000, Cost: 4.1493\n", + " and the parameters are [-2.52407984 3.46604937] -4.473496681590695 ;\n", + "Epoch 380/1000, Cost: 8.9491\n", + " and the parameters are [-2.52398755 3.46603901] -4.473548667258745 ;\n", + "Epoch 380/1000, Cost: 1.8108\n", + " and the parameters are [-2.52391178 3.46605272] -4.473607518742422 ;\n", + "Epoch 380/1000, Cost: 2.3153\n", + " and the parameters are [-2.52390251 3.46604448] -4.473655069911256 ;\n", + "Epoch 380/1000, Cost: 2.6685\n", + " and the parameters are [-2.52392334 3.46608699] -4.473651761375349 ;\n", + "Epoch 380/1000, Cost: 3.4480\n", + " and the parameters are [-2.52387609 3.4661919 ] -4.473641903341095 ;\n", + "Epoch 380/1000, Cost: 2.7068\n", + " and the parameters are [-2.52392032 3.46625988] -4.473598166033087 ;\n", + "Epoch 380/1000, Cost: 4.2956\n", + " and the parameters are [-2.52398801 3.46632845] -4.473511963586136 ;\n", + "Epoch 380/1000, Cost: 3.7068\n", + " and the parameters are [-2.52403295 3.46624499] -4.473573552505947 ;\n", + "Epoch 380/1000, Cost: 2.2208\n", + " and the parameters are [-2.5240383 3.4662802] -4.473585870999255 ;\n", + "Epoch 380/1000, Cost: 2.0046\n", + " and the parameters are [-2.52405426 3.46637707] -4.473526592371948 ;\n", + "Epoch 380/1000, Cost: 5.1992\n", + " and the parameters are [-2.5240077 3.46633847] -4.4736187852597515 ;\n", + "Epoch 380/1000, Cost: 3.5783\n", + " and the parameters are [-2.52405526 3.46631704] -4.473657525796668 ;\n", + "Epoch 380/1000, Cost: 5.4603\n", + " and the parameters are [-2.52411656 3.46632067] -4.4736515714141785 ;\n", + "Epoch 380/1000, Cost: 3.9986\n", + " and the parameters are [-2.52411761 3.46634384] -4.473666418444693 ;\n", + "Epoch 380/1000, Cost: 2.6885\n", + " and the parameters are [-2.52410624 3.46638502] -4.47366951658003 ;\n", + "Epoch 380/1000, Cost: 4.7026\n", + " and the parameters are [-2.52409867 3.46653293] -4.473599799243272 ;\n", + "Epoch 380/1000, Cost: 5.0054\n", + " and the parameters are [-2.52409225 3.46648736] -4.473655276799036 ;\n", + "Epoch 380/1000, Cost: 3.7400\n", + " and the parameters are [-2.5241851 3.46635405] -4.473752369573807 ;\n", + "Epoch 380/1000, Cost: 4.1318\n", + " and the parameters are [-2.5241308 3.46630222] -4.473849568325207 ;\n", + "Epoch 380/1000, Cost: 4.2915\n", + " and the parameters are [-2.52415733 3.46619356] -4.473951709458649 ;\n", + "Epoch 380/1000, Cost: 2.0250\n", + " and the parameters are [-2.52414412 3.46623069] -4.473968031993566 ;\n", + "Epoch 380/1000, Cost: 7.2395\n", + " and the parameters are [-2.5240753 3.46641247] -4.47385010610528 ;\n", + "Epoch 380/1000, Cost: 2.4644\n", + " and the parameters are [-2.52411706 3.46637287] -4.473902263907119 ;\n", + "Epoch 380/1000, Cost: 6.1271\n", + " and the parameters are [-2.52412424 3.46646038] -4.473839149158048 ;\n", + "Epoch 380/1000, Cost: 2.9787\n", + " and the parameters are [-2.52410688 3.46644574] -4.473893179531643 ;\n", + "Epoch 380/1000, Cost: 6.0542\n", + " and the parameters are [-2.52415945 3.46652845] -4.47382443910099 ;\n", + "Epoch 380/1000, Cost: 2.6831\n", + " and the parameters are [-2.52419458 3.46662585] -4.473769087880126 ;\n", + "Epoch 380/1000, Cost: 7.4010\n", + " and the parameters are [-2.52414385 3.46661798] -4.4738032125298615 ;\n", + "Epoch 380/1000, Cost: 2.1025\n", + " and the parameters are [-2.52412332 3.46670098] -4.473789815500786 ;\n", + "Epoch 380/1000, Cost: 1.7905\n", + " and the parameters are [-2.52411998 3.4667436 ] -4.473803633517983 ;\n", + "Epoch 380/1000, Cost: 2.4071\n", + " and the parameters are [-2.5241908 3.46670037] -4.473842620525551 ;\n", + "Epoch 380/1000, Cost: 2.6167\n", + " and the parameters are [-2.52415211 3.4667301 ] -4.473878137361174 ;\n", + "Epoch 380/1000, Cost: 1.7775\n", + " and the parameters are [-2.52414983 3.46679579] -4.473873258519879 ;\n", + "Epoch 380/1000, Cost: 4.0888\n", + " and the parameters are [-2.52413195 3.4668276 ] -4.473894654706589 ;\n", + "Epoch 380/1000, Cost: 2.7838\n", + " and the parameters are [-2.52417549 3.46674195] -4.473955833599746 ;\n", + "Epoch 380/1000, Cost: 3.8918\n", + " and the parameters are [-2.52418554 3.4668211 ] -4.4739288274063185 ;\n", + "Epoch 380/1000, Cost: 3.6011\n", + " and the parameters are [-2.5242686 3.46674057] -4.473987297611798 ;\n", + "Epoch 380/1000, Cost: 2.5702\n", + " and the parameters are [-2.52424095 3.46669548] -4.474075000634711 ;\n", + "Epoch 380/1000, Cost: 2.3365\n", + " and the parameters are [-2.52424751 3.46673305] -4.474092408101768 ;\n", + "Epoch 380/1000, Cost: 5.8038\n", + " and the parameters are [-2.52422875 3.4667384 ] -4.474127962698222 ;\n", + "Epoch 380/1000, Cost: 2.9835\n", + " and the parameters are [-2.52426573 3.46667245] -4.474201887129636 ;\n", + "Epoch 380/1000, Cost: 3.8392\n", + " and the parameters are [-2.52424305 3.46671837] -4.474222879442641 ;\n", + "Epoch 380/1000, Cost: 3.0981\n", + " and the parameters are [-2.52430372 3.46673934] -4.47421170324442 ;\n", + "Epoch 380/1000, Cost: 4.5373\n", + " and the parameters are [-2.52442369 3.46664763] -4.474265508029508 ;\n", + "Epoch 380/1000, Cost: 3.8474\n", + " and the parameters are [-2.5244406 3.46651847] -4.474383058932134 ;\n", + "Epoch 380/1000, Cost: 4.8054\n", + " and the parameters are [-2.52434258 3.46666973] -4.474369555123675 ;\n", + "Epoch 380/1000, Cost: 4.5211\n", + " and the parameters are [-2.52442297 3.46662575] -4.474377380874851 ;\n", + "Epoch 380/1000, Cost: 4.2648\n", + " and the parameters are [-2.52443237 3.46668433] -4.474367590229074 ;\n", + "Epoch 380/1000, Cost: 3.8056\n", + " and the parameters are [-2.52446217 3.46677628] -4.474313421401383 ;\n", + "Epoch 380/1000, Cost: 2.7017\n", + " and the parameters are [-2.52447926 3.46687137] -4.474271552385713 ;\n", + "Epoch 380/1000, Cost: 2.5774\n", + " and the parameters are [-2.52451244 3.46693077] -4.4742559371495165 ;\n", + "Epoch 380/1000, Cost: 4.1476\n", + " and the parameters are [-2.52464383 3.46686372] -4.47426976631533 ;\n", + "Epoch 380/1000, Cost: 5.7486\n", + " and the parameters are [-2.52458755 3.46706321] -4.474154284028588 ;\n", + "Epoch 380/1000, Cost: 2.3634\n", + " and the parameters are [-2.5246871 3.46699281] -4.474187755472638 ;\n", + "Epoch 380/1000, Cost: 2.7696\n", + " and the parameters are [-2.5246711 3.46705259] -4.474197580028281 ;\n", + "Epoch 380/1000, Cost: 2.9201\n", + " and the parameters are [-2.52466647 3.4670327 ] -4.474261585160599 ;\n", + "Epoch 380/1000, Cost: 1.5554\n", + " and the parameters are [-2.52464317 3.46711551] -4.474247712194483 ;\n", + "Epoch 380/1000, Cost: 4.2290\n", + " and the parameters are [-2.52463063 3.46702943] -4.474345912235504 ;\n", + "Epoch 380/1000, Cost: 7.2973\n", + " and the parameters are [-2.52475452 3.46684931] -4.474426231211522 ;\n", + "Epoch 380/1000, Cost: 5.1652\n", + " and the parameters are [-2.52479286 3.46686583] -4.474419719403679 ;\n", + "Epoch 380/1000, Cost: 4.6054\n", + " and the parameters are [-2.52481348 3.46679975] -4.474477086014843 ;\n", + "Epoch 380/1000, Cost: 4.0663\n", + " and the parameters are [-2.52481599 3.46688982] -4.474446270772875 ;\n", + "Epoch 380/1000, Cost: 4.1306\n", + " and the parameters are [-2.5248399 3.46676157] -4.474554367530304 ;\n", + "Epoch 380/1000, Cost: 3.4763\n", + " and the parameters are [-2.52490682 3.46672217] -4.474592885440062 ;\n", + "Epoch 380/1000, Cost: 2.5347\n", + " and the parameters are [-2.52491897 3.46678971] -4.474570516652693 ;\n", + "Epoch 380/1000, Cost: 3.9287\n", + " and the parameters are [-2.52499354 3.46670357] -4.474631165722676 ;\n", + "Epoch 380/1000, Cost: 2.0344\n", + " and the parameters are [-2.52502021 3.4667504 ] -4.4746300815045625 ;\n", + "Epoch 380/1000, Cost: 3.8474\n", + " and the parameters are [-2.52511446 3.46668396] -4.474667736423398 ;\n", + "Epoch 380/1000, Cost: 1.3417\n", + " and the parameters are [-2.52511433 3.46676664] -4.474641292329394 ;\n", + "Epoch 380/1000, Cost: 2.7250\n", + " and the parameters are [-2.52508836 3.46692529] -4.474575583256817 ;\n", + "Epoch 380/1000, Cost: 3.3068\n", + " and the parameters are [-2.52508179 3.46690989] -4.474634058493284 ;\n", + "Epoch 380/1000, Cost: 2.2214\n", + " and the parameters are [-2.52506669 3.46693608] -4.474668223944383 ;\n", + "Epoch 380/1000, Cost: 2.9262\n", + " and the parameters are [-2.52513328 3.46702327] -4.474605046240521 ;\n", + "Epoch 380/1000, Cost: 2.9722\n", + " and the parameters are [-2.52511039 3.46703329] -4.474659231066896 ;\n", + "Epoch 380/1000, Cost: 3.7394\n", + " and the parameters are [-2.52513651 3.46692569] -4.474755758673323 ;\n", + "Epoch 380/1000, Cost: 1.2378\n", + " and the parameters are [-2.5251456 3.46695672] -4.474755437332722 ;\n", + "Epoch 380/1000, Cost: 2.0957\n", + " and the parameters are [-2.52511264 3.46698127] -4.474790966006391 ;\n", + "Epoch 380/1000, Cost: 3.0636\n", + " and the parameters are [-2.52512605 3.46703425] -4.474787585968557 ;\n", + "Epoch 380/1000, Cost: 3.8695\n", + " and the parameters are [-2.52504331 3.46709328] -4.474818144543591 ;\n", + "Epoch 380/1000, Cost: 2.6635\n", + " and the parameters are [-2.52500938 3.46713062] -4.474845977137289 ;\n", + "Epoch 380/1000, Cost: 3.9899\n", + " and the parameters are [-2.52501854 3.46716047] -4.474862816086261 ;\n", + "Epoch 380/1000, Cost: 3.8630\n", + " and the parameters are [-2.52506209 3.46714188] -4.4748980778810985 ;\n", + "Epoch 380/1000, Cost: 2.4916\n", + " and the parameters are [-2.52498063 3.46723718] -4.474904086640619 ;\n", + "Epoch 380/1000, Cost: 2.7556\n", + " and the parameters are [-2.52501969 3.46725036] -4.474905126649868 ;\n", + "Epoch 380/1000, Cost: 3.3408\n", + " and the parameters are [-2.52506086 3.46732954] -4.474859580887584 ;\n", + "Epoch 380/1000, Cost: 3.6041\n", + " and the parameters are [-2.52510369 3.46743564] -4.474790138723345 ;\n", + "Epoch 380/1000, Cost: 8.5047\n", + " and the parameters are [-2.52507133 3.4673354 ] -4.474901621334473 ;\n", + "Epoch 380/1000, Cost: 3.4940\n", + " and the parameters are [-2.52509747 3.46730674] -4.474949749884917 ;\n", + "Epoch 380/1000, Cost: 3.8025\n", + " and the parameters are [-2.5251129 3.46731366] -4.47498033505118 ;\n", + "Epoch 380/1000, Cost: 4.3782\n", + " and the parameters are [-2.5251055 3.46747215] -4.474880531040785 ;\n", + "Epoch 380/1000, Cost: 5.3639\n", + " and the parameters are [-2.52508772 3.46756243] -4.474837707681179 ;\n", + "Epoch 380/1000, Cost: 4.9963\n", + " and the parameters are [-2.52503139 3.46751831] -4.474927401869287 ;\n", + "Epoch 380/1000, Cost: 2.1202\n", + " and the parameters are [-2.52500384 3.46760096] -4.474915031757835 ;\n", + "Epoch 380/1000, Cost: 2.8704\n", + " and the parameters are [-2.52498736 3.4676045 ] -4.474959138626373 ;\n", + "Epoch 380/1000, Cost: 2.7285\n", + " and the parameters are [-2.52501086 3.46758914] -4.475002297411881 ;\n", + "Epoch 380/1000, Cost: 2.1651\n", + " and the parameters are [-2.52500048 3.46758475] -4.475032069777067 ;\n", + "Epoch 380/1000, Cost: 4.9950\n", + " and the parameters are [-2.52513012 3.46758531] -4.475000951605667 ;\n", + "Epoch 380/1000, Cost: 3.0335\n", + " and the parameters are [-2.52513249 3.46761798] -4.4750259017703256 ;\n", + "Epoch 380/1000, Cost: 4.1766\n", + " and the parameters are [-2.52516861 3.46767281] -4.4750230052673245 ;\n", + "Epoch 380/1000, Cost: 3.6051\n", + " and the parameters are [-2.52519704 3.46771037] -4.475016544450161 ;\n", + "Epoch 380/1000, Cost: 1.3928\n", + " and the parameters are [-2.52520602 3.46774407] -4.475018642782463 ;\n", + "Epoch 380/1000, Cost: 3.8425\n", + " and the parameters are [-2.52528389 3.46774525] -4.475025030700487 ;\n", + "Epoch 380/1000, Cost: 3.2665\n", + " and the parameters are [-2.52526775 3.46771477] -4.4750977876349625 ;\n", + "Epoch 380/1000, Cost: 4.5035\n", + " and the parameters are [-2.52527561 3.4677637 ] -4.475094459499293 ;\n", + "Epoch 380/1000, Cost: 1.2647\n", + " and the parameters are [-2.52528632 3.46779885] -4.475096574839557 ;\n", + "Epoch 380/1000, Cost: 2.1654\n", + " and the parameters are [-2.52526128 3.46786943] -4.47510510659035 ;\n", + "Epoch 380/1000, Cost: 3.9341\n", + " and the parameters are [-2.52524982 3.46788111] -4.475151541566934 ;\n", + "Epoch 380/1000, Cost: 8.1292\n", + " and the parameters are [-2.52538618 3.4675997 ] -4.475285306618917 ;\n", + "Epoch 380/1000, Cost: 4.4461\n", + " and the parameters are [-2.52547661 3.46752548] -4.475351598586448 ;\n", + "Epoch 380/1000, Cost: 3.7773\n", + " and the parameters are [-2.52544538 3.46758166] -4.475358620446124 ;\n", + "Epoch 380/1000, Cost: 2.4925\n", + " and the parameters are [-2.52547919 3.46758563] -4.475371356417202 ;\n", + "Epoch 380/1000, Cost: 2.0291\n", + " and the parameters are [-2.52547826 3.46762184] -4.475386734124276 ;\n", + "Epoch 380/1000, Cost: 1.5329\n", + " and the parameters are [-2.52547455 3.46770735] -4.475359786374252 ;\n", + "Epoch 380/1000, Cost: 5.1517\n", + " and the parameters are [-2.52539458 3.46779201] -4.475364732267741 ;\n", + "Epoch 380/1000, Cost: 4.1905\n", + " and the parameters are [-2.52546265 3.46784412] -4.4753178551469395 ;\n", + "Epoch 380/1000, Cost: 3.7228\n", + " and the parameters are [-2.52542629 3.4678717 ] -4.475347332509043 ;\n", + "Epoch 380/1000, Cost: 3.0668\n", + " and the parameters are [-2.52541314 3.46795251] -4.475327973097451 ;\n", + "Epoch 380/1000, Cost: 4.3384\n", + " and the parameters are [-2.52544583 3.46786442] -4.475405124611659 ;\n", + "Epoch 380/1000, Cost: 5.6823\n", + " and the parameters are [-2.52538568 3.46779879] -4.475530642191171 ;\n", + "Epoch 380/1000, Cost: 4.3739\n", + " and the parameters are [-2.52543399 3.46774219] -4.475556106512037 ;\n", + "Epoch 380/1000, Cost: 2.0655\n", + " and the parameters are [-2.52543145 3.46783996] -4.475524412443981 ;\n", + "Epoch 380/1000, Cost: 2.7150\n", + " and the parameters are [-2.52545716 3.46789404] -4.475488624171353 ;\n", + "Epoch 380/1000, Cost: 2.2650\n", + " and the parameters are [-2.52545021 3.46787231] -4.475555182607816 ;\n", + "Epoch 380/1000, Cost: 3.0803\n", + " and the parameters are [-2.52547793 3.46797873] -4.475487044991186 ;\n", + "Epoch 380/1000, Cost: 3.5199\n", + " and the parameters are [-2.52542646 3.4679998 ] -4.475536097848073 ;\n", + "Epoch 380/1000, Cost: 2.8497\n", + " and the parameters are [-2.52545739 3.46802531] -4.475535685065954 ;\n", + "Epoch 380/1000, Cost: 2.0019\n", + " and the parameters are [-2.5254769 3.46808674] -4.47552514427367 ;\n", + "Epoch 380/1000, Cost: 5.9514\n", + " and the parameters are [-2.52546251 3.46807306] -4.475570265947207 ;\n", + "Epoch 380/1000, Cost: 3.5114\n", + " and the parameters are [-2.52548197 3.46806469] -4.475596526390301 ;\n", + "Epoch 380/1000, Cost: 2.7141\n", + " and the parameters are [-2.52548371 3.46812367] -4.475601044940034 ;\n", + "Epoch 380/1000, Cost: 2.9962\n", + " and the parameters are [-2.52548305 3.46818054] -4.475598312273664 ;\n", + "Epoch 380/1000, Cost: 2.9975\n", + " and the parameters are [-2.52545646 3.4681731 ] -4.475654076218221 ;\n", + "Epoch 380/1000, Cost: 2.0267\n", + " and the parameters are [-2.52543403 3.46821796] -4.4756685824827445 ;\n", + "Epoch 380/1000, Cost: 4.6002\n", + " and the parameters are [-2.5254807 3.46819336] -4.475685437629232 ;\n", + "Epoch 380/1000, Cost: 1.1145\n", + " and the parameters are [-2.52549953 3.46822509] -4.475687073067333 ;\n", + "Epoch 380/1000, Cost: 1.1172\n", + " and the parameters are [-2.52549044 3.46825788] -4.475702454660464 ;\n", + "Epoch 380/1000, Cost: 2.7620\n", + " and the parameters are [-2.52552442 3.46819687] -4.475773849999269 ;\n", + "Epoch 380/1000, Cost: 2.8503\n", + " and the parameters are [-2.52557765 3.46823503] -4.475734065068033 ;\n", + "Epoch 380/1000, Cost: 4.7152\n", + " and the parameters are [-2.52555861 3.46828626] -4.475748248097562 ;\n", + "Epoch 380/1000, Cost: 7.5216\n", + " and the parameters are [-2.52560671 3.46816794] -4.475818048502811 ;\n", + "Epoch 380/1000, Cost: 9.1728\n", + " and the parameters are [-2.52560844 3.46789287] -4.476010541082119 ;\n", + "Epoch 380/1000, Cost: 3.4640\n", + " and the parameters are [-2.52565184 3.46797074] -4.475968963087933 ;\n", + "Epoch 380/1000, Cost: 3.5717\n", + " and the parameters are [-2.52566608 3.46807372] -4.47590995832517 ;\n", + "Epoch 380/1000, Cost: 3.8766\n", + " and the parameters are [-2.52566076 3.46810685] -4.47591665338409 ;\n", + "Epoch 380/1000, Cost: 1.0201\n", + " and the parameters are [-2.52566922 3.46815579] -4.475908885241318 ;\n", + "Epoch 380/1000, Cost: 2.7535\n", + " and the parameters are [-2.52574214 3.46811796] -4.475939565001026 ;\n", + "Epoch 380/1000, Cost: 2.0400\n", + " and the parameters are [-2.5257446 3.46818549] -4.475918172414968 ;\n", + "Epoch 380/1000, Cost: 5.9303\n", + " and the parameters are [-2.52575793 3.46826448] -4.475856668022244 ;\n", + "Epoch 380/1000, Cost: 1.7505\n", + " and the parameters are [-2.52575769 3.46827534] -4.475883845133067 ;\n", + "Epoch 380/1000, Cost: 1.8820\n", + " and the parameters are [-2.52573293 3.46838417] -4.475842523032064 ;\n", + "Epoch 380/1000, Cost: 2.3006\n", + " and the parameters are [-2.52571053 3.46849525] -4.475803209800637 ;\n", + "Epoch 380/1000, Cost: 1.8500\n", + " and the parameters are [-2.52572224 3.46851345] -4.475824536880297 ;\n", + "Epoch 380/1000, Cost: 4.1641\n", + " and the parameters are [-2.52576807 3.46853216] -4.475808525755163 ;\n", + "Epoch 380/1000, Cost: 5.0376\n", + " and the parameters are [-2.52575528 3.46866527] -4.475742526281054 ;\n", + "Epoch 380/1000, Cost: 4.0227\n", + " and the parameters are [-2.52582795 3.46847876] -4.4758791062213445 ;\n", + "Epoch 380/1000, Cost: 6.9235\n", + " and the parameters are [-2.52595105 3.46839279] -4.475882935340417 ;\n", + "Epoch 380/1000, Cost: 2.3004\n", + " and the parameters are [-2.52597899 3.46845673] -4.47586490840399 ;\n", + "Epoch 380/1000, Cost: 3.7901\n", + " and the parameters are [-2.5260904 3.46832294] -4.475949577842094 ;\n", + "Epoch 380/1000, Cost: 2.9458\n", + " and the parameters are [-2.52612218 3.46836747] -4.475943467298888 ;\n", + "Epoch 380/1000, Cost: 2.1341\n", + " and the parameters are [-2.52611232 3.46835156] -4.476002364448763 ;\n", + "Epoch 380/1000, Cost: 3.0750\n", + " and the parameters are [-2.52606289 3.46839198] -4.476023909485349 ;\n", + "Epoch 380/1000, Cost: 2.1544\n", + " and the parameters are [-2.52606228 3.46838325] -4.476063895745627 ;\n", + "Epoch 380/1000, Cost: 2.4356\n", + " and the parameters are [-2.52608705 3.46836261] -4.47611000856706 ;\n", + "Epoch 380/1000, Cost: 2.3501\n", + " and the parameters are [-2.52608139 3.46842146] -4.476112927658095 ;\n", + "Epoch 380/1000, Cost: 3.3735\n", + " and the parameters are [-2.52601369 3.46854281] -4.476091908815612 ;\n", + "Epoch 380/1000, Cost: 6.1576\n", + " and the parameters are [-2.52600136 3.46854837] -4.476120469858881 ;\n", + "Epoch 380/1000, Cost: 5.0778\n", + " and the parameters are [-2.52600291 3.46842341] -4.476232125768164 ;\n", + "Epoch 380/1000, Cost: 9.1524\n", + " and the parameters are [-2.52603232 3.46839844] -4.476226607310531 ;\n", + "Epoch 380/1000, Cost: 2.2735\n", + " and the parameters are [-2.52606052 3.46842718] -4.476239921569945 ;\n", + "Epoch 380/1000, Cost: 2.5443\n", + " and the parameters are [-2.52602137 3.46848676] -4.476253592556855 ;\n", + "Epoch 380/1000, Cost: 5.0897\n", + " and the parameters are [-2.5260542 3.46830356] -4.476395635087843 ;\n", + "Epoch 380/1000, Cost: 1.9700\n", + " and the parameters are [-2.52604748 3.46837331] -4.4763853271663585 ;\n", + "Epoch 380/1000, Cost: 2.8116\n", + " and the parameters are [-2.52603283 3.46836436] -4.476446845974914 ;\n", + "Epoch 380/1000, Cost: 3.0484\n", + " and the parameters are [-2.52609052 3.46832773] -4.476470521595151 ;\n", + "Epoch 380/1000, Cost: 3.0736\n", + " and the parameters are [-2.52611641 3.46832874] -4.476496847088822 ;\n", + "Epoch 380/1000, Cost: 2.2557\n", + " and the parameters are [-2.52612079 3.46837843] -4.476499323138622 ;\n", + "Epoch 380/1000, Cost: 3.6299\n", + " and the parameters are [-2.52608848 3.46855019] -4.47643283755955 ;\n", + "Epoch 380/1000, Cost: 3.6581\n", + " and the parameters are [-2.52613551 3.46844426] -4.476524068641331 ;\n", + "Epoch 380/1000, Cost: 2.0360\n", + " and the parameters are [-2.52619526 3.46838105] -4.476561301931768 ;\n", + "Epoch 380/1000, Cost: 2.7096\n", + " and the parameters are [-2.5262507 3.46831612] -4.476609150605194 ;\n", + "Epoch 380/1000, Cost: 2.2000\n", + " and the parameters are [-2.5262333 3.46837589] -4.476594665920931 ;\n", + "Epoch 380/1000, Cost: 4.3732\n", + " and the parameters are [-2.52614423 3.46832067] -4.476720178719175 ;\n", + "Epoch 380/1000, Cost: 2.2523\n", + " and the parameters are [-2.52619504 3.4683008 ] -4.476756458357588 ;\n", + "Epoch 380/1000, Cost: 2.4792\n", + " and the parameters are [-2.5261555 3.46841797] -4.476735448689627 ;\n", + "Epoch 380/1000, Cost: 5.4765\n", + " and the parameters are [-2.52613133 3.46831881] -4.476831058882061 ;\n", + "Epoch 380/1000, Cost: 4.2342\n", + " and the parameters are [-2.52607195 3.46844608] -4.47679642453864 ;\n", + "Epoch 380/1000, Cost: 3.0601\n", + " and the parameters are [-2.52600154 3.46856427] -4.4767852240979655 ;\n", + "Epoch 380/1000, Cost: 5.5349\n", + " and the parameters are [-2.52598623 3.46859821] -4.47680262443138 ;\n", + "Epoch 380/1000, Cost: 5.2668\n", + " and the parameters are [-2.52599448 3.46861035] -4.476813721866615 ;\n", + "Epoch 380/1000, Cost: 2.9292\n", + " and the parameters are [-2.52599335 3.46870716] -4.476785880330339 ;\n", + "Epoch 380/1000, Cost: 1.8974\n", + " and the parameters are [-2.52603001 3.46867511] -4.476828815064542 ;\n", + "Epoch 380/1000, Cost: 1.5533\n", + " and the parameters are [-2.5260203 3.4686864] -4.4768645660874125 ;\n", + "Epoch 380/1000, Cost: 2.2844\n", + " and the parameters are [-2.5260197 3.46874826] -4.47686267667825 ;\n", + "Epoch 390/1000, Cost: 6.7303\n", + " and the parameters are [-2.54414074 3.49135088] -4.5091338403129875 ;\n", + "Epoch 390/1000, Cost: 2.0900\n", + " and the parameters are [-2.54415058 3.49141477] -4.509122046650879 ;\n", + "Epoch 390/1000, Cost: 5.6151\n", + " and the parameters are [-2.54415448 3.49148102] -4.509074381464407 ;\n", + "Epoch 390/1000, Cost: 1.8110\n", + " and the parameters are [-2.54416359 3.49154125] -4.509060179701476 ;\n", + "Epoch 390/1000, Cost: 4.6499\n", + " and the parameters are [-2.54423627 3.49153029] -4.509058565719922 ;\n", + "Epoch 390/1000, Cost: 3.1669\n", + " and the parameters are [-2.54420061 3.49163446] -4.50903887063445 ;\n", + "Epoch 390/1000, Cost: 3.2301\n", + " and the parameters are [-2.54422981 3.49161035] -4.509090532559446 ;\n", + "Epoch 390/1000, Cost: 3.7377\n", + " and the parameters are [-2.54430772 3.49161448] -4.509080795586844 ;\n", + "Epoch 390/1000, Cost: 6.4600\n", + " and the parameters are [-2.54439059 3.49137614] -4.509232436313582 ;\n", + "Epoch 390/1000, Cost: 1.3734\n", + " and the parameters are [-2.54442442 3.491379 ] -4.509242151683283 ;\n", + "Epoch 390/1000, Cost: 1.8786\n", + " and the parameters are [-2.54442769 3.49144693] -4.509229306017432 ;\n", + "Epoch 390/1000, Cost: 2.7414\n", + " and the parameters are [-2.5444186 3.49158857] -4.509169593785466 ;\n", + "Epoch 390/1000, Cost: 4.5597\n", + " and the parameters are [-2.54447157 3.49155555] -4.509190973641279 ;\n", + "Epoch 390/1000, Cost: 2.8477\n", + " and the parameters are [-2.54446122 3.49158028] -4.509203025249544 ;\n", + "Epoch 390/1000, Cost: 4.2745\n", + " and the parameters are [-2.54446148 3.49161986] -4.509209401052627 ;\n", + "Epoch 390/1000, Cost: 4.7745\n", + " and the parameters are [-2.54436296 3.49171633] -4.509219674481803 ;\n", + "Epoch 390/1000, Cost: 3.6044\n", + " and the parameters are [-2.54440855 3.49160566] -4.509308362584549 ;\n", + "Epoch 390/1000, Cost: 1.8057\n", + " and the parameters are [-2.54438069 3.49168353] -4.509300770547475 ;\n", + "Epoch 390/1000, Cost: 3.9310\n", + " and the parameters are [-2.54443197 3.49165597] -4.509335316887961 ;\n", + "Epoch 390/1000, Cost: 2.4630\n", + " and the parameters are [-2.54448584 3.49166649] -4.509341176476616 ;\n", + "Epoch 390/1000, Cost: 1.5519\n", + " and the parameters are [-2.54450844 3.49167873] -4.5093557880586355 ;\n", + "Epoch 390/1000, Cost: 2.0895\n", + " and the parameters are [-2.54452071 3.49171007] -4.5093664295775975 ;\n", + "Epoch 390/1000, Cost: 2.2040\n", + " and the parameters are [-2.54451522 3.49178146] -4.509356512957278 ;\n", + "Epoch 390/1000, Cost: 2.2111\n", + " and the parameters are [-2.5445527 3.49175586] -4.509399700462526 ;\n", + "Epoch 390/1000, Cost: 2.0283\n", + " and the parameters are [-2.54451715 3.4918368 ] -4.50939122538527 ;\n", + "Epoch 390/1000, Cost: 3.5692\n", + " and the parameters are [-2.54450183 3.49186468] -4.509419387833129 ;\n", + "Epoch 390/1000, Cost: 1.4001\n", + " and the parameters are [-2.54451786 3.49189713] -4.509423374746015 ;\n", + "Epoch 390/1000, Cost: 3.6536\n", + " and the parameters are [-2.54459012 3.49181297] -4.50946665261119 ;\n", + "Epoch 390/1000, Cost: 3.9613\n", + " and the parameters are [-2.54462184 3.49175078] -4.5095267472060145 ;\n", + "Epoch 390/1000, Cost: 2.2763\n", + " and the parameters are [-2.54458074 3.49186081] -4.509500348339732 ;\n", + "Epoch 390/1000, Cost: 4.7844\n", + " and the parameters are [-2.54454714 3.49185285] -4.509547891815727 ;\n", + "Epoch 390/1000, Cost: 2.2660\n", + " and the parameters are [-2.54459066 3.49190472] -4.509527352755259 ;\n", + "Epoch 390/1000, Cost: 4.0862\n", + " and the parameters are [-2.54462824 3.49183213] -4.5096038171306185 ;\n", + "Epoch 390/1000, Cost: 4.6187\n", + " and the parameters are [-2.5446858 3.49191041] -4.509555403560014 ;\n", + "Epoch 390/1000, Cost: 2.7916\n", + " and the parameters are [-2.54472314 3.49191882] -4.50957114264381 ;\n", + "Epoch 390/1000, Cost: 3.1170\n", + " and the parameters are [-2.54476002 3.49194556] -4.50957512720636 ;\n", + "Epoch 390/1000, Cost: 5.0847\n", + " and the parameters are [-2.54467782 3.4918922 ] -4.50969388332836 ;\n", + "Epoch 390/1000, Cost: 2.6921\n", + " and the parameters are [-2.54468897 3.49189983] -4.509711460938549 ;\n", + "Epoch 390/1000, Cost: 3.6386\n", + " and the parameters are [-2.54471495 3.49184792] -4.50977788919549 ;\n", + "Epoch 390/1000, Cost: 6.7646\n", + " and the parameters are [-2.544689 3.49187001] -4.50977496379578 ;\n", + "Epoch 390/1000, Cost: 2.2725\n", + " and the parameters are [-2.54472812 3.49186497] -4.509800718022064 ;\n", + "Epoch 390/1000, Cost: 3.1669\n", + " and the parameters are [-2.54481113 3.49179268] -4.509847314451281 ;\n", + "Epoch 390/1000, Cost: 2.0752\n", + " and the parameters are [-2.54476804 3.49186934] -4.509845949439337 ;\n", + "Epoch 390/1000, Cost: 2.4049\n", + " and the parameters are [-2.5448403 3.49176433] -4.509920544667396 ;\n", + "Epoch 390/1000, Cost: 5.7102\n", + " and the parameters are [-2.54487069 3.49168266] -4.50996536567356 ;\n", + "Epoch 390/1000, Cost: 3.4567\n", + " and the parameters are [-2.54485956 3.49173567] -4.5099715194580945 ;\n", + "Epoch 390/1000, Cost: 2.3363\n", + " and the parameters are [-2.54482059 3.49184983] -4.509945672284625 ;\n", + "Epoch 390/1000, Cost: 2.5420\n", + " and the parameters are [-2.54485775 3.49184111] -4.509969648447936 ;\n", + "Epoch 390/1000, Cost: 3.3264\n", + " and the parameters are [-2.54489865 3.49174243] -4.51005187596769 ;\n", + "Epoch 390/1000, Cost: 1.7700\n", + " and the parameters are [-2.54493532 3.49177872] -4.510029573655568 ;\n", + "Epoch 390/1000, Cost: 3.0595\n", + " and the parameters are [-2.54490032 3.49179102] -4.510075944182698 ;\n", + "Epoch 390/1000, Cost: 1.7133\n", + " and the parameters are [-2.54495751 3.49180947] -4.5100684292636215 ;\n", + "Epoch 390/1000, Cost: 2.2542\n", + " and the parameters are [-2.54497368 3.49185816] -4.510063399301251 ;\n", + "Epoch 390/1000, Cost: 2.5087\n", + " and the parameters are [-2.54495569 3.49187676] -4.510108834797706 ;\n", + "Epoch 390/1000, Cost: 5.5198\n", + " and the parameters are [-2.5449441 3.49183466] -4.51016970208877 ;\n", + "Epoch 390/1000, Cost: 2.3517\n", + " and the parameters are [-2.54495398 3.49179664] -4.510231373888333 ;\n", + "Epoch 390/1000, Cost: 2.9000\n", + " and the parameters are [-2.54496459 3.49185114] -4.510241877500016 ;\n", + "Epoch 390/1000, Cost: 3.4797\n", + " and the parameters are [-2.54498075 3.49178683] -4.510300431185847 ;\n", + "Epoch 390/1000, Cost: 3.1714\n", + " and the parameters are [-2.54495118 3.4918506 ] -4.51028278837491 ;\n", + "Epoch 390/1000, Cost: 3.5166\n", + " and the parameters are [-2.54498162 3.49193093] -4.510229685207985 ;\n", + "Epoch 390/1000, Cost: 2.1708\n", + " and the parameters are [-2.54493707 3.49202957] -4.510215961743266 ;\n", + "Epoch 390/1000, Cost: 3.6266\n", + " and the parameters are [-2.54491195 3.49203377] -4.5102624906789295 ;\n", + "Epoch 390/1000, Cost: 3.7400\n", + " and the parameters are [-2.54491657 3.49199111] -4.5103309810616095 ;\n", + "Epoch 390/1000, Cost: 2.0800\n", + " and the parameters are [-2.54493652 3.49198287] -4.5103482789809535 ;\n", + "Epoch 390/1000, Cost: 2.4464\n", + " and the parameters are [-2.54495947 3.49201158] -4.510359407088336 ;\n", + "Epoch 390/1000, Cost: 2.7599\n", + " and the parameters are [-2.544937 3.49196303] -4.510447079070898 ;\n", + "Epoch 390/1000, Cost: 4.1415\n", + " and the parameters are [-2.54480137 3.49214064] -4.510398865384717 ;\n", + "Epoch 390/1000, Cost: 2.5531\n", + " and the parameters are [-2.54480493 3.49224608] -4.510345167442334 ;\n", + "Epoch 390/1000, Cost: 7.1942\n", + " and the parameters are [-2.54495594 3.49209744] -4.510392945720644 ;\n", + "Epoch 390/1000, Cost: 1.2584\n", + " and the parameters are [-2.54496573 3.49211673] -4.510408536432733 ;\n", + "Epoch 390/1000, Cost: 2.3907\n", + " and the parameters are [-2.54490424 3.49219479] -4.510422910965766 ;\n", + "Epoch 390/1000, Cost: 3.4721\n", + " and the parameters are [-2.54498632 3.49222503] -4.510392181727657 ;\n", + "Epoch 390/1000, Cost: 3.6435\n", + " and the parameters are [-2.54501901 3.49240157] -4.510278936203897 ;\n", + "Epoch 390/1000, Cost: 2.6626\n", + " and the parameters are [-2.54503628 3.49248262] -4.5102498960920325 ;\n", + "Epoch 390/1000, Cost: 5.6035\n", + " and the parameters are [-2.54503666 3.49248529] -4.510278741141875 ;\n", + "Epoch 390/1000, Cost: 6.3853\n", + " and the parameters are [-2.54505558 3.49260916] -4.510174031823789 ;\n", + "Epoch 390/1000, Cost: 3.8421\n", + " and the parameters are [-2.54501384 3.49277661] -4.5101173033059405 ;\n", + "Epoch 390/1000, Cost: 3.5170\n", + " and the parameters are [-2.54501419 3.49276272] -4.510172501883146 ;\n", + "Epoch 390/1000, Cost: 4.2345\n", + " and the parameters are [-2.5451083 3.49281249] -4.5101131259365 ;\n", + "Epoch 390/1000, Cost: 3.3070\n", + " and the parameters are [-2.54512648 3.49284364] -4.510135751591864 ;\n", + "Epoch 390/1000, Cost: 4.7541\n", + " and the parameters are [-2.54521881 3.49286291] -4.510096870060923 ;\n", + "Epoch 390/1000, Cost: 3.4133\n", + " and the parameters are [-2.54527574 3.49280822] -4.510160495495698 ;\n", + "Epoch 390/1000, Cost: 8.2594\n", + " and the parameters are [-2.54541103 3.49257072] -4.5102766408251425 ;\n", + "Epoch 390/1000, Cost: 2.8721\n", + " and the parameters are [-2.54540618 3.49261888] -4.510288443159199 ;\n", + "Epoch 390/1000, Cost: 5.9017\n", + " and the parameters are [-2.54552687 3.49251073] -4.510337769512999 ;\n", + "Epoch 390/1000, Cost: 1.7164\n", + " and the parameters are [-2.54555107 3.49253032] -4.510350785524206 ;\n", + "Epoch 390/1000, Cost: 2.2935\n", + " and the parameters are [-2.54557014 3.4925438 ] -4.510372733440284 ;\n", + "Epoch 390/1000, Cost: 5.2273\n", + " and the parameters are [-2.54556815 3.49250126] -4.510423872549329 ;\n", + "Epoch 390/1000, Cost: 2.6120\n", + " and the parameters are [-2.54559185 3.49244199] -4.510484208844258 ;\n", + "Epoch 390/1000, Cost: 1.9793\n", + " and the parameters are [-2.54554412 3.49252848] -4.510485476334604 ;\n", + "Epoch 390/1000, Cost: 4.9657\n", + " and the parameters are [-2.54564515 3.492539 ] -4.510452328254034 ;\n", + "Epoch 390/1000, Cost: 2.4840\n", + " and the parameters are [-2.54566107 3.49256929] -4.510458616824289 ;\n", + "Epoch 390/1000, Cost: 5.2367\n", + " and the parameters are [-2.54562208 3.49276392] -4.510353114367748 ;\n", + "Epoch 390/1000, Cost: 6.1931\n", + " and the parameters are [-2.54553596 3.4927339 ] -4.510422795050166 ;\n", + "Epoch 390/1000, Cost: 0.9468\n", + " and the parameters are [-2.54553251 3.49276689] -4.510431785621446 ;\n", + "Epoch 390/1000, Cost: 3.1567\n", + " and the parameters are [-2.54551155 3.49272958] -4.510516586567821 ;\n", + "Epoch 390/1000, Cost: 5.2245\n", + " and the parameters are [-2.54550931 3.49268562] -4.510561232785393 ;\n", + "Epoch 390/1000, Cost: 2.8480\n", + " and the parameters are [-2.54550573 3.49273289] -4.510564407798832 ;\n", + "Epoch 390/1000, Cost: 6.2884\n", + " and the parameters are [-2.545478 3.49271171] -4.5106110780792426 ;\n", + "Epoch 390/1000, Cost: 5.7765\n", + " and the parameters are [-2.54550148 3.49279032] -4.510521600633605 ;\n", + "Epoch 390/1000, Cost: 5.1063\n", + " and the parameters are [-2.54548644 3.49291559] -4.510464060662276 ;\n", + "Epoch 390/1000, Cost: 2.8410\n", + " and the parameters are [-2.54548115 3.49299592] -4.5104603873054705 ;\n", + "Epoch 390/1000, Cost: 2.2138\n", + " and the parameters are [-2.54549156 3.4929488 ] -4.510517577943623 ;\n", + "Epoch 390/1000, Cost: 4.5738\n", + " and the parameters are [-2.54551719 3.49284078] -4.51058191855068 ;\n", + "Epoch 390/1000, Cost: 5.4859\n", + " and the parameters are [-2.54552458 3.49288371] -4.5105605456922255 ;\n", + "Epoch 390/1000, Cost: 5.2891\n", + " and the parameters are [-2.54545636 3.49280291] -4.510680298593809 ;\n", + "Epoch 390/1000, Cost: 2.2109\n", + " and the parameters are [-2.54547481 3.49277767] -4.510723596003499 ;\n", + "Epoch 390/1000, Cost: 7.3852\n", + " and the parameters are [-2.54549582 3.4926579 ] -4.510777517518822 ;\n", + "Epoch 390/1000, Cost: 4.5982\n", + " and the parameters are [-2.54548744 3.49261211] -4.510848484684519 ;\n", + "Epoch 390/1000, Cost: 1.7152\n", + " and the parameters are [-2.54546759 3.49264444] -4.510872935907371 ;\n", + "Epoch 390/1000, Cost: 3.2802\n", + " and the parameters are [-2.54547058 3.49272725] -4.5108509517883775 ;\n", + "Epoch 390/1000, Cost: 4.0091\n", + " and the parameters are [-2.5454336 3.49272477] -4.51091076229018 ;\n", + "Epoch 390/1000, Cost: 6.2706\n", + " and the parameters are [-2.54554724 3.49254584] -4.510980722496563 ;\n", + "Epoch 390/1000, Cost: 5.2574\n", + " and the parameters are [-2.54543825 3.492745 ] -4.510920025995228 ;\n", + "Epoch 390/1000, Cost: 2.6584\n", + " and the parameters are [-2.54545749 3.49279675] -4.5109074934940265 ;\n", + "Epoch 390/1000, Cost: 3.5819\n", + " and the parameters are [-2.54544599 3.49280671] -4.510928321765685 ;\n", + "Epoch 390/1000, Cost: 2.8889\n", + " and the parameters are [-2.54550008 3.49277832] -4.510944944081559 ;\n", + "Epoch 390/1000, Cost: 1.8711\n", + " and the parameters are [-2.54553436 3.49273338] -4.511002492961741 ;\n", + "Epoch 390/1000, Cost: 4.0033\n", + " and the parameters are [-2.54549073 3.492691 ] -4.511088725218496 ;\n", + "Epoch 390/1000, Cost: 3.3735\n", + " and the parameters are [-2.54550604 3.49273833] -4.511079720577948 ;\n", + "Epoch 390/1000, Cost: 4.6432\n", + " and the parameters are [-2.54542776 3.49273923] -4.511154464643201 ;\n", + "Epoch 390/1000, Cost: 5.4673\n", + " and the parameters are [-2.54548568 3.49260399] -4.511255891462204 ;\n", + "Epoch 390/1000, Cost: 6.0819\n", + " and the parameters are [-2.54554366 3.49246802] -4.511315232213507 ;\n", + "Epoch 390/1000, Cost: 2.8422\n", + " and the parameters are [-2.5455988 3.49257819] -4.511252759029638 ;\n", + "Epoch 390/1000, Cost: 2.0105\n", + " and the parameters are [-2.54558383 3.49260688] -4.511283005026559 ;\n", + "Epoch 390/1000, Cost: 2.7825\n", + " and the parameters are [-2.54556433 3.49266671] -4.511296688162228 ;\n", + "Epoch 390/1000, Cost: 2.4557\n", + " and the parameters are [-2.54558018 3.49264127] -4.511349470060798 ;\n", + "Epoch 390/1000, Cost: 2.9190\n", + " and the parameters are [-2.54561129 3.49269137] -4.511345002096616 ;\n", + "Epoch 390/1000, Cost: 3.0368\n", + " and the parameters are [-2.54563205 3.49272626] -4.511358420812624 ;\n", + "Epoch 390/1000, Cost: 3.2297\n", + " and the parameters are [-2.54568446 3.49267347] -4.511412936673009 ;\n", + "Epoch 390/1000, Cost: 2.2580\n", + " and the parameters are [-2.54573923 3.4926905 ] -4.511403642257686 ;\n", + "Epoch 390/1000, Cost: 2.4463\n", + " and the parameters are [-2.54575965 3.49263808] -4.511470836962233 ;\n", + "Epoch 390/1000, Cost: 4.5876\n", + " and the parameters are [-2.54574049 3.49269568] -4.511479976878182 ;\n", + "Epoch 390/1000, Cost: 2.4548\n", + " and the parameters are [-2.545795 3.49272761] -4.511471806041823 ;\n", + "Epoch 390/1000, Cost: 3.5862\n", + " and the parameters are [-2.54582612 3.49265461] -4.51153862611768 ;\n", + "Epoch 390/1000, Cost: 3.3063\n", + " and the parameters are [-2.54588566 3.49273302] -4.511467860637396 ;\n", + "Epoch 390/1000, Cost: 6.6172\n", + " and the parameters are [-2.54590252 3.49279207] -4.511422064499124 ;\n", + "Epoch 390/1000, Cost: 2.5663\n", + " and the parameters are [-2.54587112 3.49283199] -4.511449513630274 ;\n", + "Epoch 390/1000, Cost: 4.2659\n", + " and the parameters are [-2.54589213 3.49276653] -4.511495753158387 ;\n", + "Epoch 390/1000, Cost: 4.3263\n", + " and the parameters are [-2.545889 3.4928353] -4.511450431515342 ;\n", + "Epoch 390/1000, Cost: 3.9245\n", + " and the parameters are [-2.54579105 3.49291021] -4.5114819564466355 ;\n", + "Epoch 390/1000, Cost: 3.8989\n", + " and the parameters are [-2.54571769 3.49301753] -4.51147561313063 ;\n", + "Epoch 390/1000, Cost: 4.0539\n", + " and the parameters are [-2.5457113 3.49304712] -4.51148243159033 ;\n", + "Epoch 390/1000, Cost: 4.8879\n", + " and the parameters are [-2.54559159 3.49311423] -4.511522354854148 ;\n", + "Epoch 390/1000, Cost: 3.7738\n", + " and the parameters are [-2.54559094 3.49307246] -4.511581182095454 ;\n", + "Epoch 390/1000, Cost: 3.3889\n", + " and the parameters are [-2.54554279 3.49309235] -4.511643303402505 ;\n", + "Epoch 390/1000, Cost: 2.8449\n", + " and the parameters are [-2.54558395 3.49310779] -4.511645281385223 ;\n", + "Epoch 390/1000, Cost: 4.2924\n", + " and the parameters are [-2.54549583 3.4931726 ] -4.5116826827967875 ;\n", + "Epoch 390/1000, Cost: 4.3725\n", + " and the parameters are [-2.54550037 3.4931907 ] -4.511701217806832 ;\n", + "Epoch 390/1000, Cost: 1.5210\n", + " and the parameters are [-2.54550973 3.49326663] -4.51167514824218 ;\n", + "Epoch 390/1000, Cost: 3.5045\n", + " and the parameters are [-2.54557623 3.49328112] -4.511651463059569 ;\n", + "Epoch 390/1000, Cost: 2.9690\n", + " and the parameters are [-2.54553804 3.49342486] -4.511600418807379 ;\n", + "Epoch 390/1000, Cost: 2.5178\n", + " and the parameters are [-2.54559062 3.49342583] -4.511603736502724 ;\n", + "Epoch 390/1000, Cost: 3.2429\n", + " and the parameters are [-2.54567088 3.49336089] -4.5116360227302135 ;\n", + "Epoch 390/1000, Cost: 2.8026\n", + " and the parameters are [-2.54571594 3.49337386] -4.511651987041287 ;\n", + "Epoch 390/1000, Cost: 2.1238\n", + " and the parameters are [-2.54570683 3.49336061] -4.511705016443342 ;\n", + "Epoch 390/1000, Cost: 3.3862\n", + " and the parameters are [-2.54566891 3.49344592] -4.511692736563948 ;\n", + "Epoch 390/1000, Cost: 3.9218\n", + " and the parameters are [-2.54568673 3.49349861] -4.51168693036816 ;\n", + "Epoch 390/1000, Cost: 3.7475\n", + " and the parameters are [-2.54569121 3.49345878] -4.5117550862465094 ;\n", + "Epoch 390/1000, Cost: 2.6295\n", + " and the parameters are [-2.54571154 3.49349832] -4.51175848286 ;\n", + "Epoch 390/1000, Cost: 2.0818\n", + " and the parameters are [-2.54565039 3.49360576] -4.511747101298453 ;\n", + "Epoch 390/1000, Cost: 3.1840\n", + " and the parameters are [-2.54566285 3.49357949] -4.511789570872639 ;\n", + "Epoch 390/1000, Cost: 2.0363\n", + " and the parameters are [-2.54564127 3.49360164] -4.5118277667228925 ;\n", + "Epoch 390/1000, Cost: 1.8411\n", + " and the parameters are [-2.54566084 3.49360114] -4.511860603622832 ;\n", + "Epoch 390/1000, Cost: 4.1409\n", + " and the parameters are [-2.54571334 3.49356359] -4.511907234383031 ;\n", + "Epoch 390/1000, Cost: 3.7985\n", + " and the parameters are [-2.54575867 3.49344194] -4.512014130975368 ;\n", + "Epoch 390/1000, Cost: 5.5963\n", + " and the parameters are [-2.54575146 3.4933376 ] -4.512145845969541 ;\n", + "Epoch 390/1000, Cost: 3.9288\n", + " and the parameters are [-2.54580686 3.4933255 ] -4.512176573988114 ;\n", + "Epoch 390/1000, Cost: 4.3531\n", + " and the parameters are [-2.54582015 3.49328468] -4.512231144369545 ;\n", + "Epoch 390/1000, Cost: 2.8902\n", + " and the parameters are [-2.54586925 3.493251 ] -4.512255701190152 ;\n", + "Epoch 390/1000, Cost: 2.7770\n", + " and the parameters are [-2.54589773 3.49323283] -4.512286196316786 ;\n", + "Epoch 390/1000, Cost: 6.2194\n", + " and the parameters are [-2.54591365 3.49323575] -4.512282360253228 ;\n", + "Epoch 390/1000, Cost: 5.5377\n", + " and the parameters are [-2.54592275 3.49332293] -4.512238527359226 ;\n", + "Epoch 390/1000, Cost: 3.2398\n", + " and the parameters are [-2.54593478 3.49332219] -4.512286898468134 ;\n", + "Epoch 390/1000, Cost: 6.5970\n", + " and the parameters are [-2.54585553 3.49345386] -4.5122634412412985 ;\n", + "Epoch 390/1000, Cost: 4.0824\n", + " and the parameters are [-2.54584191 3.49350064] -4.512275208962513 ;\n", + "Epoch 390/1000, Cost: 1.6014\n", + " and the parameters are [-2.54588503 3.49352647] -4.512269317637868 ;\n", + "Epoch 390/1000, Cost: 2.4646\n", + " and the parameters are [-2.54589566 3.49351264] -4.512312658240371 ;\n", + "Epoch 390/1000, Cost: 1.6885\n", + " and the parameters are [-2.54587315 3.49359337] -4.512294282647452 ;\n", + "Epoch 390/1000, Cost: 2.7017\n", + " and the parameters are [-2.54589638 3.49350841] -4.5123766439498265 ;\n", + "Epoch 390/1000, Cost: 2.1965\n", + " and the parameters are [-2.54593762 3.49345888] -4.512428892570296 ;\n", + "Epoch 390/1000, Cost: 2.5343\n", + " and the parameters are [-2.54595703 3.49351554] -4.512418010549089 ;\n", + "Epoch 390/1000, Cost: 2.6644\n", + " and the parameters are [-2.54607858 3.49337344] -4.512493872575391 ;\n", + "Epoch 390/1000, Cost: 3.3451\n", + " and the parameters are [-2.5461062 3.49328346] -4.5125784126742685 ;\n", + "Epoch 390/1000, Cost: 6.5072\n", + " and the parameters are [-2.54611345 3.49316182] -4.5126900850089315 ;\n", + "Epoch 390/1000, Cost: 5.4306\n", + " and the parameters are [-2.54607304 3.49332246] -4.512611818490627 ;\n", + "Epoch 390/1000, Cost: 1.2876\n", + " and the parameters are [-2.54603114 3.49338273] -4.512616159426378 ;\n", + "Epoch 390/1000, Cost: 3.0972\n", + " and the parameters are [-2.54600559 3.49341989] -4.512638221707035 ;\n", + "Epoch 390/1000, Cost: 3.2571\n", + " and the parameters are [-2.54597733 3.49352376] -4.512617896144066 ;\n", + "Epoch 390/1000, Cost: 4.1621\n", + " and the parameters are [-2.54604562 3.49348183] -4.512642718019035 ;\n", + "Epoch 390/1000, Cost: 1.3470\n", + " and the parameters are [-2.54606743 3.49355751] -4.51260414855441 ;\n", + "Epoch 390/1000, Cost: 3.8301\n", + " and the parameters are [-2.54612355 3.49349253] -4.512653628068679 ;\n", + "Epoch 390/1000, Cost: 6.8034\n", + " and the parameters are [-2.54622306 3.49342067] -4.512682013688022 ;\n", + "Epoch 390/1000, Cost: 2.7274\n", + " and the parameters are [-2.54620256 3.49343763] -4.512711805639199 ;\n", + "Epoch 390/1000, Cost: 2.5175\n", + " and the parameters are [-2.54619578 3.49353 ] -4.5126744985192975 ;\n", + "Epoch 390/1000, Cost: 2.5520\n", + " and the parameters are [-2.54621208 3.49354993] -4.512690260041937 ;\n", + "Epoch 390/1000, Cost: 5.1371\n", + " and the parameters are [-2.5461822 3.49358083] -4.5127145045245936 ;\n", + "Epoch 390/1000, Cost: 2.8461\n", + " and the parameters are [-2.54622623 3.49353422] -4.512766961839646 ;\n", + "Epoch 390/1000, Cost: 2.2735\n", + " and the parameters are [-2.54624682 3.49356333] -4.512763326254297 ;\n", + "Epoch 390/1000, Cost: 3.1361\n", + " and the parameters are [-2.54620834 3.49358948] -4.512812568372317 ;\n", + "Epoch 400/1000, Cost: 2.2023\n", + " and the parameters are [-2.56397364 3.51559837] -4.544388061725499 ;\n", + "Epoch 400/1000, Cost: 2.4989\n", + " and the parameters are [-2.56396577 3.51560779] -4.544430277223942 ;\n", + "Epoch 400/1000, Cost: 4.2251\n", + " and the parameters are [-2.56407439 3.51558678] -4.544423647935189 ;\n", + "Epoch 400/1000, Cost: 3.2735\n", + " and the parameters are [-2.56411348 3.51565815] -4.544390895399103 ;\n", + "Epoch 400/1000, Cost: 1.7864\n", + " and the parameters are [-2.56416023 3.51565399] -4.544400559401065 ;\n", + "Epoch 400/1000, Cost: 5.2294\n", + " and the parameters are [-2.56409476 3.51571119] -4.5444308383799195 ;\n", + "Epoch 400/1000, Cost: 4.5069\n", + " and the parameters are [-2.5640665 3.51568705] -4.5444888956694625 ;\n", + "Epoch 400/1000, Cost: 2.8690\n", + " and the parameters are [-2.56407677 3.51561985] -4.5445735408292025 ;\n", + "Epoch 400/1000, Cost: 9.1264\n", + " and the parameters are [-2.56410318 3.51560561] -4.544558751030956 ;\n", + "Epoch 400/1000, Cost: 2.0143\n", + " and the parameters are [-2.56413624 3.51566376] -4.54453926445531 ;\n", + "Epoch 400/1000, Cost: 2.5995\n", + " and the parameters are [-2.56420297 3.51560849] -4.544582315853473 ;\n", + "Epoch 400/1000, Cost: 3.8750\n", + " and the parameters are [-2.56421905 3.51561888] -4.544601092428515 ;\n", + "Epoch 400/1000, Cost: 3.7912\n", + " and the parameters are [-2.56428885 3.51557106] -4.544631071193677 ;\n", + "Epoch 400/1000, Cost: 1.5123\n", + " and the parameters are [-2.56430831 3.51561342] -4.5446172909610265 ;\n", + "Epoch 400/1000, Cost: 1.4812\n", + " and the parameters are [-2.56434032 3.51562908] -4.5446273927904395 ;\n", + "Epoch 400/1000, Cost: 3.0560\n", + " and the parameters are [-2.56438607 3.51566951] -4.544594592997305 ;\n", + "Epoch 400/1000, Cost: 4.0702\n", + " and the parameters are [-2.56436314 3.51571085] -4.544619534473273 ;\n", + "Epoch 400/1000, Cost: 4.3863\n", + " and the parameters are [-2.56434108 3.51579003] -4.544600743451223 ;\n", + "Epoch 400/1000, Cost: 1.3538\n", + " and the parameters are [-2.56431642 3.51586672] -4.544591108602747 ;\n", + "Epoch 400/1000, Cost: 4.7384\n", + " and the parameters are [-2.56430778 3.51584768] -4.544649775349451 ;\n", + "Epoch 400/1000, Cost: 2.0332\n", + " and the parameters are [-2.56431486 3.51592194] -4.5446290465221555 ;\n", + "Epoch 400/1000, Cost: 6.0860\n", + " and the parameters are [-2.56430237 3.51602837] -4.5445668232312295 ;\n", + "Epoch 400/1000, Cost: 4.2067\n", + " and the parameters are [-2.56434379 3.51603646] -4.544576956565511 ;\n", + "Epoch 400/1000, Cost: 4.7287\n", + " and the parameters are [-2.56434249 3.51595888] -4.544651663789856 ;\n", + "Epoch 400/1000, Cost: 3.3809\n", + " and the parameters are [-2.56441852 3.51593767] -4.544652231031984 ;\n", + "Epoch 400/1000, Cost: 2.9727\n", + " and the parameters are [-2.56438575 3.51594174] -4.544703848453338 ;\n", + "Epoch 400/1000, Cost: 2.6629\n", + " and the parameters are [-2.56443777 3.51600156] -4.544663340440732 ;\n", + "Epoch 400/1000, Cost: 2.4794\n", + " and the parameters are [-2.56447868 3.51601401] -4.544671313565928 ;\n", + "Epoch 400/1000, Cost: 13.1361\n", + " and the parameters are [-2.56450893 3.51593906] -4.544661784199074 ;\n", + "Epoch 400/1000, Cost: 3.2294\n", + " and the parameters are [-2.56456976 3.51588003] -4.544695783725838 ;\n", + "Epoch 400/1000, Cost: 2.9783\n", + " and the parameters are [-2.56459407 3.51586672] -4.544743507474493 ;\n", + "Epoch 400/1000, Cost: 3.3520\n", + " and the parameters are [-2.56461041 3.51583428] -4.544800856572341 ;\n", + "Epoch 400/1000, Cost: 3.3123\n", + " and the parameters are [-2.56461371 3.51581454] -4.544858825229519 ;\n", + "Epoch 400/1000, Cost: 2.2767\n", + " and the parameters are [-2.56464927 3.51581429] -4.544881259164007 ;\n", + "Epoch 400/1000, Cost: 1.1158\n", + " and the parameters are [-2.5646572 3.51583622] -4.544892811237019 ;\n", + "Epoch 400/1000, Cost: 2.1481\n", + " and the parameters are [-2.56469333 3.51578525] -4.544944171958727 ;\n", + "Epoch 400/1000, Cost: 5.1736\n", + " and the parameters are [-2.56464042 3.5156905 ] -4.545071313741411 ;\n", + "Epoch 400/1000, Cost: 4.1570\n", + " and the parameters are [-2.56468176 3.51566715] -4.5451118778646595 ;\n", + "Epoch 400/1000, Cost: 6.3340\n", + " and the parameters are [-2.56460656 3.5156102 ] -4.545207528933733 ;\n", + "Epoch 400/1000, Cost: 5.9614\n", + " and the parameters are [-2.56466096 3.51551045] -4.5452899853413715 ;\n", + "Epoch 400/1000, Cost: 2.9203\n", + " and the parameters are [-2.56465714 3.5155166 ] -4.545333196706696 ;\n", + "Epoch 400/1000, Cost: 3.5339\n", + " and the parameters are [-2.56469653 3.51555182] -4.5453259256857725 ;\n", + "Epoch 400/1000, Cost: 2.6447\n", + " and the parameters are [-2.56472556 3.51552329] -4.545362504556025 ;\n", + "Epoch 400/1000, Cost: 2.0835\n", + " and the parameters are [-2.56474459 3.51557281] -4.545356418121252 ;\n", + "Epoch 400/1000, Cost: 2.3172\n", + " and the parameters are [-2.56475151 3.51563015] -4.545360309042818 ;\n", + "Epoch 400/1000, Cost: 2.6932\n", + " and the parameters are [-2.56481792 3.51562089] -4.545372507363596 ;\n", + "Epoch 400/1000, Cost: 1.7143\n", + " and the parameters are [-2.56484704 3.51561285] -4.54539904764565 ;\n", + "Epoch 400/1000, Cost: 1.3037\n", + " and the parameters are [-2.56481602 3.51565666] -4.545417946105346 ;\n", + "Epoch 400/1000, Cost: 4.3280\n", + " and the parameters are [-2.56468338 3.51589395] -4.545349432024497 ;\n", + "Epoch 400/1000, Cost: 2.3238\n", + " and the parameters are [-2.56467555 3.51600677] -4.545308951610148 ;\n", + "Epoch 400/1000, Cost: 2.9393\n", + " and the parameters are [-2.56466736 3.51600181] -4.545363457838924 ;\n", + "Epoch 400/1000, Cost: 3.4237\n", + " and the parameters are [-2.56469854 3.51607689] -4.545337951365629 ;\n", + "Epoch 400/1000, Cost: 2.8739\n", + " and the parameters are [-2.56471191 3.51603921] -4.545400830718697 ;\n", + "Epoch 400/1000, Cost: 1.3337\n", + " and the parameters are [-2.56472563 3.51608708] -4.545392793338125 ;\n", + "Epoch 400/1000, Cost: 3.6786\n", + " and the parameters are [-2.5648487 3.51599244] -4.54542618576563 ;\n", + "Epoch 400/1000, Cost: 4.8909\n", + " and the parameters are [-2.56488283 3.51604527] -4.545415306830931 ;\n", + "Epoch 400/1000, Cost: 1.5618\n", + " and the parameters are [-2.56487146 3.51606625] -4.545446832784945 ;\n", + "Epoch 400/1000, Cost: 3.9577\n", + " and the parameters are [-2.56498259 3.51603859] -4.545433356761866 ;\n", + "Epoch 400/1000, Cost: 3.7979\n", + " and the parameters are [-2.56494749 3.51596046] -4.54553474957593 ;\n", + "Epoch 400/1000, Cost: 4.6710\n", + " and the parameters are [-2.56505355 3.51589744] -4.545552564590297 ;\n", + "Epoch 400/1000, Cost: 2.7265\n", + " and the parameters are [-2.5651365 3.51597141] -4.545483281083982 ;\n", + "Epoch 400/1000, Cost: 4.5789\n", + " and the parameters are [-2.56512714 3.51604279] -4.54545926725435 ;\n", + "Epoch 400/1000, Cost: 6.2619\n", + " and the parameters are [-2.56509133 3.51608647] -4.545440602062301 ;\n", + "Epoch 400/1000, Cost: 2.0419\n", + " and the parameters are [-2.56508132 3.5161891 ] -4.545413547772721 ;\n", + "Epoch 400/1000, Cost: 7.6906\n", + " and the parameters are [-2.56510199 3.5161961 ] -4.545447142853242 ;\n", + "Epoch 400/1000, Cost: 2.3152\n", + " and the parameters are [-2.5651366 3.51620516] -4.545469227210757 ;\n", + "Epoch 400/1000, Cost: 1.7637\n", + " and the parameters are [-2.56516503 3.51620092] -4.545490442788379 ;\n", + "Epoch 400/1000, Cost: 4.9764\n", + " and the parameters are [-2.56519163 3.51626344] -4.545471366643825 ;\n", + "Epoch 400/1000, Cost: 3.3503\n", + " and the parameters are [-2.56521654 3.51638525] -4.545410164796564 ;\n", + "Epoch 400/1000, Cost: 3.3118\n", + " and the parameters are [-2.56523263 3.51644907] -4.545390117747152 ;\n", + "Epoch 400/1000, Cost: 0.9382\n", + " and the parameters are [-2.56523792 3.51646896] -4.545402127121177 ;\n", + "Epoch 400/1000, Cost: 1.7015\n", + " and the parameters are [-2.56526632 3.51647406] -4.545419287655029 ;\n", + "Epoch 400/1000, Cost: 5.4765\n", + " and the parameters are [-2.56530008 3.51636659] -4.5455040569537335 ;\n", + "Epoch 400/1000, Cost: 4.0056\n", + " and the parameters are [-2.56529564 3.5162741 ] -4.545615266349023 ;\n", + "Epoch 400/1000, Cost: 2.9884\n", + " and the parameters are [-2.5653102 3.51625814] -4.54565986826928 ;\n", + "Epoch 400/1000, Cost: 2.5944\n", + " and the parameters are [-2.56531178 3.51627494] -4.545674784831256 ;\n", + "Epoch 400/1000, Cost: 6.0951\n", + " and the parameters are [-2.56528488 3.51633829] -4.545634862184228 ;\n", + "Epoch 400/1000, Cost: 8.7832\n", + " and the parameters are [-2.56524067 3.5164401 ] -4.545569143771485 ;\n", + "Epoch 400/1000, Cost: 3.7380\n", + " and the parameters are [-2.56528468 3.51640542] -4.545601823434479 ;\n", + "Epoch 400/1000, Cost: 3.6035\n", + " and the parameters are [-2.56526518 3.51647474] -4.545595192297618 ;\n", + "Epoch 400/1000, Cost: 2.4683\n", + " and the parameters are [-2.56526898 3.51650908] -4.545617420065253 ;\n", + "Epoch 400/1000, Cost: 2.4096\n", + " and the parameters are [-2.56525247 3.51653182] -4.54564480506195 ;\n", + "Epoch 400/1000, Cost: 2.9056\n", + " and the parameters are [-2.56521236 3.516491 ] -4.545719073173585 ;\n", + "Epoch 400/1000, Cost: 2.4492\n", + " and the parameters are [-2.56523199 3.51643254] -4.545790177735772 ;\n", + "Epoch 400/1000, Cost: 3.6182\n", + " and the parameters are [-2.56528824 3.51640487] -4.545818543722495 ;\n", + "Epoch 400/1000, Cost: 4.0808\n", + " and the parameters are [-2.56529538 3.516311 ] -4.545898781829348 ;\n", + "Epoch 400/1000, Cost: 4.3495\n", + " and the parameters are [-2.5653723 3.51630658] -4.545903470870776 ;\n", + "Epoch 400/1000, Cost: 3.5261\n", + " and the parameters are [-2.56535873 3.51639561] -4.5458699551881665 ;\n", + "Epoch 400/1000, Cost: 2.9473\n", + " and the parameters are [-2.5653742 3.51647509] -4.545825539228541 ;\n", + "Epoch 400/1000, Cost: 1.6853\n", + " and the parameters are [-2.5653808 3.51656843] -4.545787529924831 ;\n", + "Epoch 400/1000, Cost: 5.0202\n", + " and the parameters are [-2.56542298 3.51651327] -4.545826429971901 ;\n", + "Epoch 400/1000, Cost: 3.0313\n", + " and the parameters are [-2.56547409 3.51656227] -4.54580571831846 ;\n", + "Epoch 400/1000, Cost: 1.6180\n", + " and the parameters are [-2.56545958 3.51662221] -4.545803093214935 ;\n", + "Epoch 400/1000, Cost: 2.0232\n", + " and the parameters are [-2.56543181 3.51663231] -4.5458499568503035 ;\n", + "Epoch 400/1000, Cost: 2.5942\n", + " and the parameters are [-2.56545324 3.51667068] -4.5458547002459335 ;\n", + "Epoch 400/1000, Cost: 2.0487\n", + " and the parameters are [-2.56543258 3.51672457] -4.545856695772571 ;\n", + "Epoch 400/1000, Cost: 4.0807\n", + " and the parameters are [-2.56547948 3.51660208] -4.545966632025292 ;\n", + "Epoch 400/1000, Cost: 2.3273\n", + " and the parameters are [-2.56546107 3.51656368] -4.546040149974202 ;\n", + "Epoch 400/1000, Cost: 4.1776\n", + " and the parameters are [-2.56545762 3.51649325] -4.546116479219851 ;\n", + "Epoch 400/1000, Cost: 3.4363\n", + " and the parameters are [-2.56553888 3.51648018] -4.546138598597676 ;\n", + "Epoch 400/1000, Cost: 1.5900\n", + " and the parameters are [-2.56548659 3.51654449] -4.546156437647422 ;\n", + "Epoch 400/1000, Cost: 3.0584\n", + " and the parameters are [-2.56554934 3.51642206] -4.546235779294669 ;\n", + "Epoch 400/1000, Cost: 5.8961\n", + " and the parameters are [-2.56565677 3.51626482] -4.546301309795642 ;\n", + "Epoch 400/1000, Cost: 2.2790\n", + " and the parameters are [-2.56565652 3.51630012] -4.546313262684475 ;\n", + "Epoch 400/1000, Cost: 2.6176\n", + " and the parameters are [-2.56562512 3.51639496] -4.546304158558468 ;\n", + "Epoch 400/1000, Cost: 2.8205\n", + " and the parameters are [-2.56564523 3.51646657] -4.546263136004731 ;\n", + "Epoch 400/1000, Cost: 3.1120\n", + " and the parameters are [-2.56561353 3.51653258] -4.546276396643994 ;\n", + "Epoch 400/1000, Cost: 1.6994\n", + " and the parameters are [-2.56560541 3.51662401] -4.546251310542581 ;\n", + "Epoch 400/1000, Cost: 2.6395\n", + " and the parameters are [-2.56557335 3.51674963] -4.546210132779569 ;\n", + "Epoch 400/1000, Cost: 2.6892\n", + " and the parameters are [-2.56556235 3.51681377] -4.546202342742045 ;\n", + "Epoch 400/1000, Cost: 4.4155\n", + " and the parameters are [-2.56559329 3.51668067] -4.546305868142628 ;\n", + "Epoch 400/1000, Cost: 2.5682\n", + " and the parameters are [-2.56558946 3.51677172] -4.546290305603324 ;\n", + "Epoch 400/1000, Cost: 4.7649\n", + " and the parameters are [-2.56550979 3.51683624] -4.546304515972827 ;\n", + "Epoch 400/1000, Cost: 3.9610\n", + " and the parameters are [-2.56555796 3.51679187] -4.546357259109255 ;\n", + "Epoch 400/1000, Cost: 1.5128\n", + " and the parameters are [-2.56553413 3.516846 ] -4.546363193385211 ;\n", + "Epoch 400/1000, Cost: 5.8616\n", + " and the parameters are [-2.56549691 3.51694004] -4.546317777848243 ;\n", + "Epoch 400/1000, Cost: 5.9219\n", + " and the parameters are [-2.56552847 3.51700202] -4.546259104308961 ;\n", + "Epoch 400/1000, Cost: 4.7503\n", + " and the parameters are [-2.56556976 3.51685652] -4.546379425176723 ;\n", + "Epoch 400/1000, Cost: 3.0104\n", + " and the parameters are [-2.56555267 3.51693679] -4.546358434689621 ;\n", + "Epoch 400/1000, Cost: 6.0240\n", + " and the parameters are [-2.56560308 3.51690223] -4.546350396732317 ;\n", + "Epoch 400/1000, Cost: 3.8245\n", + " and the parameters are [-2.56557119 3.51700632] -4.546327351395241 ;\n", + "Epoch 400/1000, Cost: 3.2011\n", + " and the parameters are [-2.56561974 3.51700259] -4.546340066698487 ;\n", + "Epoch 400/1000, Cost: 6.1017\n", + " and the parameters are [-2.56570928 3.51689627] -4.546394643280181 ;\n", + "Epoch 400/1000, Cost: 2.8368\n", + " and the parameters are [-2.56570334 3.5169459 ] -4.546388825964038 ;\n", + "Epoch 400/1000, Cost: 2.5069\n", + " and the parameters are [-2.56575577 3.51694551] -4.546386212697943 ;\n", + "Epoch 400/1000, Cost: 3.5860\n", + " and the parameters are [-2.56570203 3.51701066] -4.54639018897655 ;\n", + "Epoch 400/1000, Cost: 4.5335\n", + " and the parameters are [-2.56566977 3.51710998] -4.54636833527778 ;\n", + "Epoch 400/1000, Cost: 5.6324\n", + " and the parameters are [-2.56566391 3.51714339] -4.546362365397555 ;\n", + "Epoch 400/1000, Cost: 2.9388\n", + " and the parameters are [-2.56563297 3.51719735] -4.546382339174206 ;\n", + "Epoch 400/1000, Cost: 3.7058\n", + " and the parameters are [-2.56562629 3.51712238] -4.546472356193944 ;\n", + "Epoch 400/1000, Cost: 2.3803\n", + " and the parameters are [-2.56561811 3.51711256] -4.546515146704231 ;\n", + "Epoch 400/1000, Cost: 7.2210\n", + " and the parameters are [-2.56559708 3.51708634] -4.5465461590332765 ;\n", + "Epoch 400/1000, Cost: 1.7196\n", + " and the parameters are [-2.56561733 3.51708413] -4.546578978754123 ;\n", + "Epoch 400/1000, Cost: 2.1129\n", + " and the parameters are [-2.56558287 3.51716199] -4.546569121765831 ;\n", + "Epoch 400/1000, Cost: 3.5340\n", + " and the parameters are [-2.56557213 3.51725024] -4.546537415163202 ;\n", + "Epoch 400/1000, Cost: 3.0605\n", + " and the parameters are [-2.56549387 3.51725999] -4.546603806724529 ;\n", + "Epoch 400/1000, Cost: 4.6020\n", + " and the parameters are [-2.56543985 3.51743572] -4.546511727139345 ;\n", + "Epoch 400/1000, Cost: 4.0311\n", + " and the parameters are [-2.56540001 3.51749892] -4.546528479342187 ;\n", + "Epoch 400/1000, Cost: 2.4597\n", + " and the parameters are [-2.56542707 3.51752292] -4.546538804697298 ;\n", + "Epoch 400/1000, Cost: 2.0958\n", + " and the parameters are [-2.56544931 3.5175601 ] -4.546542001310367 ;\n", + "Epoch 400/1000, Cost: 2.7691\n", + " and the parameters are [-2.56548647 3.51750664] -4.546591354180107 ;\n", + "Epoch 400/1000, Cost: 4.7645\n", + " and the parameters are [-2.56555411 3.51740254] -4.546638559721524 ;\n", + "Epoch 400/1000, Cost: 3.8743\n", + " and the parameters are [-2.56556964 3.51740553] -4.546668054942523 ;\n", + "Epoch 400/1000, Cost: 3.5730\n", + " and the parameters are [-2.56557335 3.51742186] -4.546669895152612 ;\n", + "Epoch 400/1000, Cost: 2.1154\n", + " and the parameters are [-2.56556407 3.51749208] -4.5466637162883865 ;\n", + "Epoch 400/1000, Cost: 5.4608\n", + " and the parameters are [-2.56566117 3.51741124] -4.546718801586511 ;\n", + "Epoch 400/1000, Cost: 4.2122\n", + " and the parameters are [-2.5657186 3.51741276] -4.546701312125804 ;\n", + "Epoch 400/1000, Cost: 3.8998\n", + " and the parameters are [-2.56571769 3.51741719] -4.546745590128723 ;\n", + "Epoch 400/1000, Cost: 3.9740\n", + " and the parameters are [-2.5656548 3.51746392] -4.546769892287192 ;\n", + "Epoch 400/1000, Cost: 0.8653\n", + " and the parameters are [-2.56567274 3.51748069] -4.54677457337038 ;\n", + "Epoch 400/1000, Cost: 3.1190\n", + " and the parameters are [-2.56564178 3.51758097] -4.546751279113215 ;\n", + "Epoch 400/1000, Cost: 4.1416\n", + " and the parameters are [-2.56564041 3.51761577] -4.546759391096877 ;\n", + "Epoch 400/1000, Cost: 2.0469\n", + " and the parameters are [-2.56564303 3.51767702] -4.546738991563813 ;\n", + "Epoch 400/1000, Cost: 2.5387\n", + " and the parameters are [-2.56559706 3.51766452] -4.5468187565537 ;\n", + "Epoch 400/1000, Cost: 1.7796\n", + " and the parameters are [-2.56559242 3.51769595] -4.5468372372217205 ;\n", + "Epoch 400/1000, Cost: 2.0135\n", + " and the parameters are [-2.56558873 3.51775642] -4.546830530447269 ;\n", + "Epoch 400/1000, Cost: 5.1073\n", + " and the parameters are [-2.56564772 3.5177785 ] -4.546809083197564 ;\n", + "Epoch 400/1000, Cost: 3.7602\n", + " and the parameters are [-2.56561932 3.51773406] -4.546897073498773 ;\n", + "Epoch 400/1000, Cost: 5.4572\n", + " and the parameters are [-2.56574542 3.51777071] -4.546820988184892 ;\n", + "Epoch 400/1000, Cost: 1.5919\n", + " and the parameters are [-2.56575817 3.51780364] -4.546833566145964 ;\n", + "Epoch 400/1000, Cost: 2.2223\n", + " and the parameters are [-2.56572453 3.51775818] -4.5469140495419555 ;\n", + "Epoch 400/1000, Cost: 3.2326\n", + " and the parameters are [-2.5657642 3.51767173] -4.546992418120881 ;\n", + "Epoch 400/1000, Cost: 6.1916\n", + " and the parameters are [-2.56579465 3.51747644] -4.547127668519288 ;\n", + "Epoch 400/1000, Cost: 6.4418\n", + " and the parameters are [-2.56595394 3.51724635] -4.547225714980593 ;\n", + "Epoch 400/1000, Cost: 3.3502\n", + " and the parameters are [-2.56590862 3.5174276 ] -4.54714659867782 ;\n", + "Epoch 400/1000, Cost: 4.4742\n", + " and the parameters are [-2.56585171 3.51754761] -4.54712139100743 ;\n", + "Epoch 400/1000, Cost: 5.0947\n", + " and the parameters are [-2.56586899 3.51753385] -4.547161693677454 ;\n", + "Epoch 400/1000, Cost: 5.9839\n", + " and the parameters are [-2.56593366 3.51743206] -4.547222980278067 ;\n", + "Epoch 400/1000, Cost: 4.0037\n", + " and the parameters are [-2.56595846 3.5173566 ] -4.547298794113402 ;\n", + "Epoch 400/1000, Cost: 6.1974\n", + " and the parameters are [-2.56595959 3.5173918 ] -4.547320912397474 ;\n", + "Epoch 400/1000, Cost: 1.3848\n", + " and the parameters are [-2.56596285 3.5174641 ] -4.547295530946579 ;\n", + "Epoch 400/1000, Cost: 3.1693\n", + " and the parameters are [-2.56598283 3.51747135] -4.5473180228469285 ;\n", + "Epoch 400/1000, Cost: 1.0103\n", + " and the parameters are [-2.56597763 3.51750454] -4.547324834642602 ;\n", + "Epoch 400/1000, Cost: 6.3707\n", + " and the parameters are [-2.56589755 3.51753736] -4.547370740317157 ;\n", + "Epoch 400/1000, Cost: 1.3110\n", + " and the parameters are [-2.56590394 3.51754318] -4.547396378078802 ;\n", + "Epoch 400/1000, Cost: 1.9791\n", + " and the parameters are [-2.56593073 3.51748144] -4.547461686368539 ;\n", + "Epoch 400/1000, Cost: 2.9572\n", + " and the parameters are [-2.56597303 3.51743063] -4.547503240882747 ;\n", + "Epoch 400/1000, Cost: 2.3746\n", + " and the parameters are [-2.56595426 3.51747553] -4.547519724615638 ;\n", + "Epoch 400/1000, Cost: 1.1323\n", + " and the parameters are [-2.56595984 3.51752221] -4.547513689652864 ;\n", + "Epoch 400/1000, Cost: 3.5935\n", + " and the parameters are [-2.56600026 3.51751122] -4.547536986519174 ;\n", + "Epoch 400/1000, Cost: 2.2662\n", + " and the parameters are [-2.56603079 3.51750305] -4.5475636641289094 ;\n", + "Epoch 400/1000, Cost: 3.4624\n", + " and the parameters are [-2.56601257 3.51765382] -4.547503592621922 ;\n", + "Epoch 400/1000, Cost: 1.9146\n", + " and the parameters are [-2.56603379 3.51762318] -4.547551955020426 ;\n", + "Epoch 400/1000, Cost: 5.7713\n", + " and the parameters are [-2.56603469 3.51749059] -4.547668271677318 ;\n", + "Epoch 400/1000, Cost: 2.6503\n", + " and the parameters are [-2.56607429 3.51746783] -4.547702252430628 ;\n", + "Epoch 400/1000, Cost: 3.6039\n", + " and the parameters are [-2.56603868 3.51758928] -4.5476630392446244 ;\n", + "Epoch 400/1000, Cost: 2.8218\n", + " and the parameters are [-2.56602079 3.51767132] -4.547649895368487 ;\n", + "Epoch 400/1000, Cost: 5.8383\n", + " and the parameters are [-2.56596769 3.51769527] -4.547673976759089 ;\n", + "Epoch 400/1000, Cost: 5.9694\n", + " and the parameters are [-2.56596943 3.51767246] -4.547702135928196 ;\n", + "Epoch 400/1000, Cost: 3.5217\n", + " and the parameters are [-2.56598172 3.51766856] -4.547737328530091 ;\n", + "Epoch 400/1000, Cost: 2.4172\n", + " and the parameters are [-2.56594103 3.51773832] -4.547734091358321 ;\n", + "Epoch 400/1000, Cost: 1.6103\n", + " and the parameters are [-2.56592521 3.51774376] -4.547771424706934 ;\n", + "Epoch 400/1000, Cost: 4.0501\n", + " and the parameters are [-2.56601178 3.51771847] -4.5477761314122835 ;\n", + "Epoch 400/1000, Cost: 2.4004\n", + " and the parameters are [-2.56604417 3.5176337 ] -4.547847281390813 ;\n", + "Epoch 400/1000, Cost: 3.8492\n", + " and the parameters are [-2.5660191 3.51759969] -4.547924508608636 ;\n", + "Epoch 400/1000, Cost: 6.3927\n", + " and the parameters are [-2.56596468 3.51766448] -4.547900050462781 ;\n", + "Epoch 400/1000, Cost: 2.9592\n", + " and the parameters are [-2.56592982 3.51777702] -4.54786918794777 ;\n", + "Epoch 400/1000, Cost: 1.8036\n", + " and the parameters are [-2.56590556 3.51784865] -4.547871965214541 ;\n", + "Epoch 400/1000, Cost: 3.5820\n", + " and the parameters are [-2.56585431 3.51791731] -4.547882529660034 ;\n", + "Epoch 400/1000, Cost: 2.7825\n", + " and the parameters are [-2.56589206 3.51794935] -4.547880746221806 ;\n", + "Epoch 410/1000, Cost: 5.3417\n", + " and the parameters are [-2.58324246 3.53948465] -4.578696832349251 ;\n", + "Epoch 410/1000, Cost: 3.2964\n", + " and the parameters are [-2.5832575 3.53958329] -4.578641103552621 ;\n", + "Epoch 410/1000, Cost: 4.1060\n", + " and the parameters are [-2.58332103 3.53954836] -4.578660960709465 ;\n", + "Epoch 410/1000, Cost: 2.3990\n", + " and the parameters are [-2.58337849 3.53952583] -4.5786892597208455 ;\n", + "Epoch 410/1000, Cost: 2.1720\n", + " and the parameters are [-2.58334767 3.53955634] -4.578713713283875 ;\n", + "Epoch 410/1000, Cost: 3.4609\n", + " and the parameters are [-2.5833886 3.53958827] -4.578713147189311 ;\n", + "Epoch 410/1000, Cost: 4.3065\n", + " and the parameters are [-2.58339016 3.5397499 ] -4.5786321359923 ;\n", + "Epoch 410/1000, Cost: 1.4937\n", + " and the parameters are [-2.58338413 3.53980105] -4.578628039684847 ;\n", + "Epoch 410/1000, Cost: 2.3863\n", + " and the parameters are [-2.5833848 3.53983318] -4.578640041151363 ;\n", + "Epoch 410/1000, Cost: 5.3049\n", + " and the parameters are [-2.58341244 3.53976176] -4.578676253158736 ;\n", + "Epoch 410/1000, Cost: 1.5943\n", + " and the parameters are [-2.58340484 3.53974391] -4.57873234133357 ;\n", + "Epoch 410/1000, Cost: 2.5598\n", + " and the parameters are [-2.58347585 3.53971024] -4.578748408707548 ;\n", + "Epoch 410/1000, Cost: 5.2542\n", + " and the parameters are [-2.58337328 3.53985576] -4.578727866086471 ;\n", + "Epoch 410/1000, Cost: 2.1100\n", + " and the parameters are [-2.58340529 3.53989373] -4.578722500043103 ;\n", + "Epoch 410/1000, Cost: 5.5173\n", + " and the parameters are [-2.58346279 3.53986989] -4.578714258660462 ;\n", + "Epoch 410/1000, Cost: 4.4501\n", + " and the parameters are [-2.58343295 3.5398325 ] -4.5787852958423745 ;\n", + "Epoch 410/1000, Cost: 4.1600\n", + " and the parameters are [-2.58341972 3.53990191] -4.578754825125586 ;\n", + "Epoch 410/1000, Cost: 5.1602\n", + " and the parameters are [-2.58349988 3.53985639] -4.578789185058812 ;\n", + "Epoch 410/1000, Cost: 7.7991\n", + " and the parameters are [-2.58348501 3.53972038] -4.578927269533754 ;\n", + "Epoch 410/1000, Cost: 3.8592\n", + " and the parameters are [-2.58343024 3.53967347] -4.579020336662656 ;\n", + "Epoch 410/1000, Cost: 2.3621\n", + " and the parameters are [-2.58334268 3.53976644] -4.579037591588515 ;\n", + "Epoch 410/1000, Cost: 3.7994\n", + " and the parameters are [-2.58336683 3.53974786] -4.5790825923201215 ;\n", + "Epoch 410/1000, Cost: 3.9904\n", + " and the parameters are [-2.58340235 3.53963979] -4.57914966178583 ;\n", + "Epoch 410/1000, Cost: 1.5797\n", + " and the parameters are [-2.58338631 3.53966438] -4.579174567783019 ;\n", + "Epoch 410/1000, Cost: 2.6761\n", + " and the parameters are [-2.5833965 3.53972098] -4.5791668917287005 ;\n", + "Epoch 410/1000, Cost: 3.4261\n", + " and the parameters are [-2.58340801 3.53978372] -4.5791409244452055 ;\n", + "Epoch 410/1000, Cost: 3.9826\n", + " and the parameters are [-2.58340065 3.53981644] -4.579146215049328 ;\n", + "Epoch 410/1000, Cost: 4.6767\n", + " and the parameters are [-2.58340484 3.53983107] -4.579178457532781 ;\n", + "Epoch 410/1000, Cost: 2.4978\n", + " and the parameters are [-2.58343015 3.5398556 ] -4.579189749974337 ;\n", + "Epoch 410/1000, Cost: 3.6303\n", + " and the parameters are [-2.58338414 3.53992211] -4.579186642535586 ;\n", + "Epoch 410/1000, Cost: 4.7159\n", + " and the parameters are [-2.58344735 3.54010751] -4.579046778318669 ;\n", + "Epoch 410/1000, Cost: 3.5862\n", + " and the parameters are [-2.58348336 3.5401617 ] -4.579004980898748 ;\n", + "Epoch 410/1000, Cost: 2.6401\n", + " and the parameters are [-2.58347125 3.5400869 ] -4.579087607250293 ;\n", + "Epoch 410/1000, Cost: 4.4133\n", + " and the parameters are [-2.58347015 3.53997288] -4.57918259722357 ;\n", + "Epoch 410/1000, Cost: 2.5714\n", + " and the parameters are [-2.5834864 3.5399872] -4.579214453057126 ;\n", + "Epoch 410/1000, Cost: 2.6178\n", + " and the parameters are [-2.58347789 3.54004117] -4.579217418539106 ;\n", + "Epoch 410/1000, Cost: 2.7062\n", + " and the parameters are [-2.58356633 3.53993956] -4.57927460416444 ;\n", + "Epoch 410/1000, Cost: 2.1974\n", + " and the parameters are [-2.58362889 3.53989872] -4.579292630656205 ;\n", + "Epoch 410/1000, Cost: 1.6800\n", + " and the parameters are [-2.58363028 3.53997787] -4.57927298281437 ;\n", + "Epoch 410/1000, Cost: 6.9802\n", + " and the parameters are [-2.58359088 3.54002554] -4.5792772407731395 ;\n", + "Epoch 410/1000, Cost: 3.8514\n", + " and the parameters are [-2.58358737 3.54003019] -4.579313766206839 ;\n", + "Epoch 410/1000, Cost: 2.2474\n", + " and the parameters are [-2.58358474 3.54007394] -4.579321446250557 ;\n", + "Epoch 410/1000, Cost: 2.5494\n", + " and the parameters are [-2.58364465 3.54008436] -4.579317374918751 ;\n", + "Epoch 410/1000, Cost: 4.6279\n", + " and the parameters are [-2.58366517 3.54007882] -4.579341621750273 ;\n", + "Epoch 410/1000, Cost: 5.3691\n", + " and the parameters are [-2.58371754 3.5400399 ] -4.5793440718497465 ;\n", + "Epoch 410/1000, Cost: 2.7896\n", + " and the parameters are [-2.58373331 3.54002621] -4.579390433354747 ;\n", + "Epoch 410/1000, Cost: 2.4022\n", + " and the parameters are [-2.58373088 3.54007006] -4.579407657214545 ;\n", + "Epoch 410/1000, Cost: 3.9619\n", + " and the parameters are [-2.58374748 3.54008874] -4.579421987532166 ;\n", + "Epoch 410/1000, Cost: 1.7795\n", + " and the parameters are [-2.58375496 3.5401205 ] -4.579430067372983 ;\n", + "Epoch 410/1000, Cost: 2.2625\n", + " and the parameters are [-2.58375343 3.54014617] -4.579449150789582 ;\n", + "Epoch 410/1000, Cost: 5.2380\n", + " and the parameters are [-2.58382617 3.54008315] -4.5794877781297885 ;\n", + "Epoch 410/1000, Cost: 3.4965\n", + " and the parameters are [-2.58389834 3.53999414] -4.579548411850278 ;\n", + "Epoch 410/1000, Cost: 4.4055\n", + " and the parameters are [-2.58398915 3.53999838] -4.5795259043099765 ;\n", + "Epoch 410/1000, Cost: 3.7940\n", + " and the parameters are [-2.58403184 3.54006669] -4.57948968963971 ;\n", + "Epoch 410/1000, Cost: 3.7313\n", + " and the parameters are [-2.58402941 3.53999079] -4.579571869041823 ;\n", + "Epoch 410/1000, Cost: 2.2788\n", + " and the parameters are [-2.58404233 3.53997375] -4.579625943542554 ;\n", + "Epoch 410/1000, Cost: 2.6575\n", + " and the parameters are [-2.58408655 3.53997835] -4.57962929996661 ;\n", + "Epoch 410/1000, Cost: 2.5398\n", + " and the parameters are [-2.58407825 3.53995019] -4.579679059022351 ;\n", + "Epoch 410/1000, Cost: 4.1196\n", + " and the parameters are [-2.58406406 3.53993285] -4.579741423551153 ;\n", + "Epoch 410/1000, Cost: 5.5954\n", + " and the parameters are [-2.58414198 3.53990468] -4.579728789334622 ;\n", + "Epoch 410/1000, Cost: 2.7390\n", + " and the parameters are [-2.58411122 3.53987154] -4.57979844140214 ;\n", + "Epoch 410/1000, Cost: 4.4418\n", + " and the parameters are [-2.58410211 3.53977832] -4.579906632612732 ;\n", + "Epoch 410/1000, Cost: 0.9494\n", + " and the parameters are [-2.5841039 3.53980876] -4.579914210332357 ;\n", + "Epoch 410/1000, Cost: 7.1820\n", + " and the parameters are [-2.58409843 3.5398031 ] -4.579918298459888 ;\n", + "Epoch 410/1000, Cost: 3.7791\n", + " and the parameters are [-2.58415392 3.53973012] -4.579985985963575 ;\n", + "Epoch 410/1000, Cost: 1.0531\n", + " and the parameters are [-2.58415129 3.53977364] -4.579978628125474 ;\n", + "Epoch 410/1000, Cost: 7.1873\n", + " and the parameters are [-2.58416272 3.53975883] -4.580004459338643 ;\n", + "Epoch 410/1000, Cost: 4.1087\n", + " and the parameters are [-2.58415904 3.53992074] -4.579916591296587 ;\n", + "Epoch 410/1000, Cost: 5.0984\n", + " and the parameters are [-2.58423868 3.53984675] -4.579975475510683 ;\n", + "Epoch 410/1000, Cost: 6.5005\n", + " and the parameters are [-2.58424862 3.53992641] -4.579918794292068 ;\n", + "Epoch 410/1000, Cost: 1.8392\n", + " and the parameters are [-2.58425905 3.53996032] -4.579926503647089 ;\n", + "Epoch 410/1000, Cost: 5.2458\n", + " and the parameters are [-2.58419118 3.5399947 ] -4.579945677378989 ;\n", + "Epoch 410/1000, Cost: 5.0777\n", + " and the parameters are [-2.58423268 3.53992467] -4.579999763300296 ;\n", + "Epoch 410/1000, Cost: 2.2475\n", + " and the parameters are [-2.58425921 3.53992311] -4.5800273415656365 ;\n", + "Epoch 410/1000, Cost: 1.8050\n", + " and the parameters are [-2.58428995 3.53993226] -4.580032329314384 ;\n", + "Epoch 410/1000, Cost: 3.7948\n", + " and the parameters are [-2.58429138 3.53996694] -4.580027874448046 ;\n", + "Epoch 410/1000, Cost: 3.9304\n", + " and the parameters are [-2.58426751 3.53990322] -4.580107718234553 ;\n", + "Epoch 410/1000, Cost: 3.6520\n", + " and the parameters are [-2.5842665 3.53987379] -4.5801666966753904 ;\n", + "Epoch 410/1000, Cost: 5.0722\n", + " and the parameters are [-2.58431891 3.53992401] -4.580140539678716 ;\n", + "Epoch 410/1000, Cost: 4.0984\n", + " and the parameters are [-2.58435389 3.53993388] -4.580147044608574 ;\n", + "Epoch 410/1000, Cost: 3.7059\n", + " and the parameters are [-2.58438955 3.53987391] -4.580208848162313 ;\n", + "Epoch 410/1000, Cost: 5.4737\n", + " and the parameters are [-2.58436169 3.53987478] -4.580228162666312 ;\n", + "Epoch 410/1000, Cost: 2.3761\n", + " and the parameters are [-2.58436186 3.53985678] -4.580277663297522 ;\n", + "Epoch 410/1000, Cost: 3.0834\n", + " and the parameters are [-2.58432798 3.53994472] -4.580272711048082 ;\n", + "Epoch 410/1000, Cost: 1.9675\n", + " and the parameters are [-2.58432837 3.54003239] -4.580242917922123 ;\n", + "Epoch 410/1000, Cost: 3.2032\n", + " and the parameters are [-2.58435883 3.53998975] -4.580298573029854 ;\n", + "Epoch 410/1000, Cost: 9.9875\n", + " and the parameters are [-2.58433805 3.53995696] -4.580306264003168 ;\n", + "Epoch 410/1000, Cost: 1.3592\n", + " and the parameters are [-2.58434365 3.53994438] -4.58034021817043 ;\n", + "Epoch 410/1000, Cost: 3.6768\n", + " and the parameters are [-2.58440221 3.53988939] -4.580384325945195 ;\n", + "Epoch 410/1000, Cost: 4.7043\n", + " and the parameters are [-2.58431768 3.53995204] -4.5804162174210745 ;\n", + "Epoch 410/1000, Cost: 2.4017\n", + " and the parameters are [-2.58429649 3.53995278] -4.58046357946381 ;\n", + "Epoch 410/1000, Cost: 2.8547\n", + " and the parameters are [-2.58425081 3.53997771] -4.580505869619313 ;\n", + "Epoch 410/1000, Cost: 3.8991\n", + " and the parameters are [-2.58423225 3.5399773 ] -4.580543053482738 ;\n", + "Epoch 410/1000, Cost: 2.4594\n", + " and the parameters are [-2.58420788 3.5399758 ] -4.5805920457946065 ;\n", + "Epoch 410/1000, Cost: 4.5172\n", + " and the parameters are [-2.58430399 3.53984582] -4.580655390726077 ;\n", + "Epoch 410/1000, Cost: 2.3135\n", + " and the parameters are [-2.58430841 3.53992425] -4.580631248904251 ;\n", + "Epoch 410/1000, Cost: 3.4135\n", + " and the parameters are [-2.58434591 3.53993533] -4.580630607180918 ;\n", + "Epoch 410/1000, Cost: 1.9429\n", + " and the parameters are [-2.58438955 3.53990127] -4.580669458886085 ;\n", + "Epoch 410/1000, Cost: 4.1984\n", + " and the parameters are [-2.58450689 3.53988484] -4.58063653714665 ;\n", + "Epoch 410/1000, Cost: 2.1377\n", + " and the parameters are [-2.58457563 3.53985818] -4.580657436016771 ;\n", + "Epoch 410/1000, Cost: 2.4983\n", + " and the parameters are [-2.58459623 3.53984761] -4.580694395438082 ;\n", + "Epoch 410/1000, Cost: 2.9468\n", + " and the parameters are [-2.58460278 3.53989921] -4.580688867506715 ;\n", + "Epoch 410/1000, Cost: 2.1768\n", + " and the parameters are [-2.5845715 3.53994806] -4.580715079768697 ;\n", + "Epoch 410/1000, Cost: 2.0679\n", + " and the parameters are [-2.58459451 3.53998577] -4.580716882347611 ;\n", + "Epoch 410/1000, Cost: 1.9734\n", + " and the parameters are [-2.58460452 3.53998357] -4.580752510803077 ;\n", + "Epoch 410/1000, Cost: 1.8331\n", + " and the parameters are [-2.58458414 3.54001437] -4.580780274760916 ;\n", + "Epoch 410/1000, Cost: 3.3009\n", + " and the parameters are [-2.58471491 3.54002143] -4.5807490193766665 ;\n", + "Epoch 410/1000, Cost: 2.2606\n", + " and the parameters are [-2.5847292 3.540041 ] -4.580769630971763 ;\n", + "Epoch 410/1000, Cost: 4.6125\n", + " and the parameters are [-2.58485641 3.53996795] -4.580782061561706 ;\n", + "Epoch 410/1000, Cost: 2.2924\n", + " and the parameters are [-2.58489506 3.53989326] -4.580841062351644 ;\n", + "Epoch 410/1000, Cost: 7.8142\n", + " and the parameters are [-2.58488465 3.53978027] -4.580931280104452 ;\n", + "Epoch 410/1000, Cost: 1.6451\n", + " and the parameters are [-2.58490469 3.5398135 ] -4.580935600633518 ;\n", + "Epoch 410/1000, Cost: 3.5624\n", + " and the parameters are [-2.58492815 3.53979952] -4.580988223030596 ;\n", + "Epoch 410/1000, Cost: 2.3446\n", + " and the parameters are [-2.58491797 3.53975756] -4.581059524751942 ;\n", + "Epoch 410/1000, Cost: 2.4164\n", + " and the parameters are [-2.58493746 3.53976132] -4.58108063177911 ;\n", + "Epoch 410/1000, Cost: 2.2485\n", + " and the parameters are [-2.58494867 3.53983341] -4.581055846210785 ;\n", + "Epoch 410/1000, Cost: 1.4943\n", + " and the parameters are [-2.58492254 3.53995415] -4.58101436258829 ;\n", + "Epoch 410/1000, Cost: 6.4942\n", + " and the parameters are [-2.58484932 3.54006256] -4.580989751264516 ;\n", + "Epoch 410/1000, Cost: 3.4023\n", + " and the parameters are [-2.58486747 3.5399697 ] -4.581091490518543 ;\n", + "Epoch 410/1000, Cost: 4.3810\n", + " and the parameters are [-2.58486496 3.54000393] -4.581104202132608 ;\n", + "Epoch 410/1000, Cost: 3.2278\n", + " and the parameters are [-2.5848728 3.54004575] -4.5811106232079695 ;\n", + "Epoch 410/1000, Cost: 3.5244\n", + " and the parameters are [-2.5849057 3.53995726] -4.581201858905844 ;\n", + "Epoch 410/1000, Cost: 2.0786\n", + " and the parameters are [-2.58494388 3.54004504] -4.58115139408878 ;\n", + "Epoch 410/1000, Cost: 4.5562\n", + " and the parameters are [-2.58502231 3.53985122] -4.581271369744811 ;\n", + "Epoch 410/1000, Cost: 2.9605\n", + " and the parameters are [-2.58502327 3.5397955 ] -4.581336788578484 ;\n", + "Epoch 410/1000, Cost: 3.5709\n", + " and the parameters are [-2.58506234 3.53991163] -4.581241003259613 ;\n", + "Epoch 410/1000, Cost: 2.9483\n", + " and the parameters are [-2.5850549 3.53995074] -4.58125398679216 ;\n", + "Epoch 410/1000, Cost: 3.5418\n", + " and the parameters are [-2.58507481 3.53989632] -4.5813209289709365 ;\n", + "Epoch 410/1000, Cost: 3.9469\n", + " and the parameters are [-2.58509937 3.53991662] -4.581318296968885 ;\n", + "Epoch 410/1000, Cost: 2.1123\n", + " and the parameters are [-2.58514192 3.53995045] -4.58130865071533 ;\n", + "Epoch 410/1000, Cost: 2.0814\n", + " and the parameters are [-2.58519196 3.53997776] -4.581304792671701 ;\n", + "Epoch 410/1000, Cost: 3.7408\n", + " and the parameters are [-2.58520127 3.53996251] -4.581340545093089 ;\n", + "Epoch 410/1000, Cost: 3.0614\n", + " and the parameters are [-2.58514143 3.53998104] -4.581391660651963 ;\n", + "Epoch 410/1000, Cost: 1.8883\n", + " and the parameters are [-2.58515351 3.5399713 ] -4.581433929035385 ;\n", + "Epoch 410/1000, Cost: 3.2248\n", + " and the parameters are [-2.58514352 3.54008095] -4.581397904967356 ;\n", + "Epoch 410/1000, Cost: 1.5249\n", + " and the parameters are [-2.5851553 3.54011289] -4.581402665819907 ;\n", + "Epoch 410/1000, Cost: 4.7236\n", + " and the parameters are [-2.58508414 3.5402795 ] -4.581316810009484 ;\n", + "Epoch 410/1000, Cost: 6.3006\n", + " and the parameters are [-2.58508798 3.54034308] -4.581295430699027 ;\n", + "Epoch 410/1000, Cost: 4.3448\n", + " and the parameters are [-2.5850864 3.54040028] -4.5812778892433235 ;\n", + "Epoch 410/1000, Cost: 4.1356\n", + " and the parameters are [-2.58501954 3.54039178] -4.581368870825643 ;\n", + "Epoch 410/1000, Cost: 2.8810\n", + " and the parameters are [-2.58499934 3.54031888] -4.581461831802237 ;\n", + "Epoch 410/1000, Cost: 2.1214\n", + " and the parameters are [-2.58499357 3.54040798] -4.581440065680382 ;\n", + "Epoch 410/1000, Cost: 1.9675\n", + " and the parameters are [-2.58499882 3.54037776] -4.581496611992627 ;\n", + "Epoch 410/1000, Cost: 3.7665\n", + " and the parameters are [-2.58498124 3.54047651] -4.581470925982105 ;\n", + "Epoch 410/1000, Cost: 3.3945\n", + " and the parameters are [-2.58503738 3.5403324 ] -4.5815765894567475 ;\n", + "Epoch 410/1000, Cost: 3.4528\n", + " and the parameters are [-2.58506428 3.54039192] -4.581550695737001 ;\n", + "Epoch 410/1000, Cost: 2.1702\n", + " and the parameters are [-2.58510183 3.54044969] -4.581524423963467 ;\n", + "Epoch 410/1000, Cost: 2.2569\n", + " and the parameters are [-2.58507652 3.54049963] -4.5815456471839315 ;\n", + "Epoch 410/1000, Cost: 1.3100\n", + " and the parameters are [-2.58506927 3.54051664] -4.581569491055783 ;\n", + "Epoch 410/1000, Cost: 2.1724\n", + " and the parameters are [-2.58509554 3.54050041] -4.581608385602141 ;\n", + "Epoch 410/1000, Cost: 4.2189\n", + " and the parameters are [-2.5850479 3.54055166] -4.581617505687538 ;\n", + "Epoch 410/1000, Cost: 6.0367\n", + " and the parameters are [-2.58513013 3.54064831] -4.581520400389396 ;\n", + "Epoch 410/1000, Cost: 4.1519\n", + " and the parameters are [-2.58523637 3.54048416] -4.581615558699187 ;\n", + "Epoch 410/1000, Cost: 1.6689\n", + " and the parameters are [-2.58524345 3.5404975 ] -4.581643458340103 ;\n", + "Epoch 410/1000, Cost: 3.3827\n", + " and the parameters are [-2.5852116 3.54050683] -4.5816833928661165 ;\n", + "Epoch 410/1000, Cost: 1.5301\n", + " and the parameters are [-2.5851965 3.54055875] -4.581691401768947 ;\n", + "Epoch 410/1000, Cost: 1.5365\n", + " and the parameters are [-2.5851968 3.54062997] -4.581677549637594 ;\n", + "Epoch 410/1000, Cost: 3.3072\n", + " and the parameters are [-2.58522668 3.54072759] -4.581622544259195 ;\n", + "Epoch 410/1000, Cost: 1.6557\n", + " and the parameters are [-2.58528976 3.54071099] -4.581636770134386 ;\n", + "Epoch 410/1000, Cost: 2.3922\n", + " and the parameters are [-2.5852675 3.54083047] -4.5815962862777795 ;\n", + "Epoch 410/1000, Cost: 6.0513\n", + " and the parameters are [-2.58529237 3.54089074] -4.581550786742749 ;\n", + "Epoch 410/1000, Cost: 4.0248\n", + " and the parameters are [-2.58523123 3.54097112] -4.581562108682404 ;\n", + "Epoch 410/1000, Cost: 1.2016\n", + " and the parameters are [-2.58525943 3.54099579] -4.581562870767372 ;\n", + "Epoch 410/1000, Cost: 2.2095\n", + " and the parameters are [-2.58519872 3.5409983 ] -4.581632027198426 ;\n", + "Epoch 410/1000, Cost: 3.1951\n", + " and the parameters are [-2.5851909 3.54098419] -4.5816884405598906 ;\n", + "Epoch 410/1000, Cost: 2.6152\n", + " and the parameters are [-2.58521059 3.5409626 ] -4.581730587439688 ;\n", + "Epoch 410/1000, Cost: 6.4036\n", + " and the parameters are [-2.58509943 3.54110086] -4.581702859307469 ;\n", + "Epoch 410/1000, Cost: 2.5300\n", + " and the parameters are [-2.58505678 3.5412307 ] -4.5816752307687825 ;\n", + "Epoch 410/1000, Cost: 4.0562\n", + " and the parameters are [-2.58493336 3.54121724] -4.58179557303477 ;\n", + "Epoch 410/1000, Cost: 3.9106\n", + " and the parameters are [-2.58501975 3.54121375] -4.581770465273162 ;\n", + "Epoch 410/1000, Cost: 4.2397\n", + " and the parameters are [-2.58504683 3.54112987] -4.581847561748207 ;\n", + "Epoch 410/1000, Cost: 6.4464\n", + " and the parameters are [-2.58503655 3.54114558] -4.581857444520957 ;\n", + "Epoch 410/1000, Cost: 1.8271\n", + " and the parameters are [-2.58503131 3.54114614] -4.581886040439067 ;\n", + "Epoch 410/1000, Cost: 2.4322\n", + " and the parameters are [-2.58503026 3.54108904] -4.581959867648807 ;\n", + "Epoch 410/1000, Cost: 4.3695\n", + " and the parameters are [-2.58502951 3.54099711] -4.582056468025336 ;\n", + "Epoch 410/1000, Cost: 3.1165\n", + " and the parameters are [-2.58507522 3.54093125] -4.582121326426779 ;\n", + "Epoch 410/1000, Cost: 3.1660\n", + " and the parameters are [-2.58496824 3.54104929] -4.582122064853813 ;\n", + "Epoch 410/1000, Cost: 2.7212\n", + " and the parameters are [-2.58502047 3.54109569] -4.582095747809984 ;\n", + "Epoch 410/1000, Cost: 2.7582\n", + " and the parameters are [-2.58503964 3.54109793] -4.582129241235442 ;\n", + "Epoch 410/1000, Cost: 4.5863\n", + " and the parameters are [-2.58509052 3.54104962] -4.582162450017263 ;\n", + "Epoch 410/1000, Cost: 6.7274\n", + " and the parameters are [-2.58521615 3.54110937] -4.582064735640421 ;\n", + "Epoch 410/1000, Cost: 3.5888\n", + " and the parameters are [-2.58527145 3.54106346] -4.582083033959029 ;\n", + "Epoch 410/1000, Cost: 1.8212\n", + " and the parameters are [-2.58522744 3.54119183] -4.582038257940198 ;\n", + "Epoch 410/1000, Cost: 8.0339\n", + " and the parameters are [-2.58527248 3.5409705 ] -4.582180676691817 ;\n", + "Epoch 410/1000, Cost: 2.5393\n", + " and the parameters are [-2.58531738 3.54095005] -4.5822163949857115 ;\n", + "Epoch 410/1000, Cost: 3.0676\n", + " and the parameters are [-2.58531252 3.54100664] -4.582222126972344 ;\n", + "Epoch 410/1000, Cost: 6.2317\n", + " and the parameters are [-2.5852966 3.54106132] -4.582181161448746 ;\n", + "Epoch 410/1000, Cost: 2.1100\n", + " and the parameters are [-2.58530343 3.54106312] -4.5822156603334 ;\n", + "Epoch 410/1000, Cost: 2.6367\n", + " and the parameters are [-2.585344 3.54109764] -4.58220084051947 ;\n", + "Epoch 410/1000, Cost: 4.1036\n", + " and the parameters are [-2.58517852 3.54118405] -4.582249061642006 ;\n", + "Epoch 410/1000, Cost: 3.6365\n", + " and the parameters are [-2.58521291 3.54126131] -4.582210101642477 ;\n", + "Epoch 410/1000, Cost: 1.6281\n", + " and the parameters are [-2.58519572 3.54132783] -4.5822089271734665 ;\n", + "Epoch 410/1000, Cost: 5.1348\n", + " and the parameters are [-2.58517066 3.54138979] -4.582210276754935 ;\n", + "Epoch 410/1000, Cost: 2.2275\n", + " and the parameters are [-2.58520738 3.54139458] -4.58221251783186 ;\n", + "Epoch 410/1000, Cost: 4.9135\n", + " and the parameters are [-2.58521684 3.54138743] -4.582243053190861 ;\n", + "Epoch 410/1000, Cost: 2.2270\n", + " and the parameters are [-2.58524237 3.54138798] -4.58227175928266 ;\n", + "Epoch 410/1000, Cost: 4.9721\n", + " and the parameters are [-2.58525784 3.54144121] -4.582247479895393 ;\n", + "Epoch 410/1000, Cost: 5.2615\n", + " and the parameters are [-2.58523533 3.54157326] -4.582166196485738 ;\n", + "Epoch 410/1000, Cost: 2.8339\n", + " and the parameters are [-2.58519596 3.54171773] -4.582116284667493 ;\n", + "Epoch 410/1000, Cost: 4.4745\n", + " and the parameters are [-2.58512376 3.54180359] -4.582124034528097 ;\n", + "Epoch 420/1000, Cost: 2.9857\n", + " and the parameters are [-2.60209839 3.56278846] -4.612329242079477 ;\n", + "Epoch 420/1000, Cost: 1.7372\n", + " and the parameters are [-2.60207118 3.5628135 ] -4.612367192344998 ;\n", + "Epoch 420/1000, Cost: 6.5494\n", + " and the parameters are [-2.60212051 3.56262143] -4.612497588421774 ;\n", + "Epoch 420/1000, Cost: 3.5226\n", + " and the parameters are [-2.60216164 3.56261776] -4.612518690475892 ;\n", + "Epoch 420/1000, Cost: 2.5654\n", + " and the parameters are [-2.60219613 3.56259054] -4.612555769191025 ;\n", + "Epoch 420/1000, Cost: 7.6610\n", + " and the parameters are [-2.60222228 3.56260119] -4.612535390803209 ;\n", + "Epoch 420/1000, Cost: 3.0330\n", + " and the parameters are [-2.60223695 3.56255586] -4.612584554228464 ;\n", + "Epoch 420/1000, Cost: 1.5973\n", + " and the parameters are [-2.60223004 3.56255986] -4.612614966069272 ;\n", + "Epoch 420/1000, Cost: 2.1744\n", + " and the parameters are [-2.60226786 3.56254754] -4.612640838872407 ;\n", + "Epoch 420/1000, Cost: 2.4604\n", + " and the parameters are [-2.60224746 3.56263688] -4.61261958067988 ;\n", + "Epoch 420/1000, Cost: 0.8431\n", + " and the parameters are [-2.60223041 3.56268557] -4.6126193336264905 ;\n", + "Epoch 420/1000, Cost: 3.5990\n", + " and the parameters are [-2.60226899 3.56271922] -4.612608384230113 ;\n", + "Epoch 420/1000, Cost: 5.4041\n", + " and the parameters are [-2.60215992 3.56277609] -4.612626732131163 ;\n", + "Epoch 420/1000, Cost: 2.7505\n", + " and the parameters are [-2.60220496 3.56281962] -4.612606955944442 ;\n", + "Epoch 420/1000, Cost: 5.1893\n", + " and the parameters are [-2.60218918 3.56291365] -4.612576880112836 ;\n", + "Epoch 420/1000, Cost: 1.7075\n", + " and the parameters are [-2.60216242 3.56296002] -4.61258994439578 ;\n", + "Epoch 420/1000, Cost: 2.6468\n", + " and the parameters are [-2.60215792 3.56301282] -4.6125890386360435 ;\n", + "Epoch 420/1000, Cost: 2.3735\n", + " and the parameters are [-2.60216419 3.56301178] -4.612622227386857 ;\n", + "Epoch 420/1000, Cost: 2.4105\n", + " and the parameters are [-2.60216288 3.56301244] -4.612662729037053 ;\n", + "Epoch 420/1000, Cost: 0.8925\n", + " and the parameters are [-2.60217562 3.56303257] -4.612668999322938 ;\n", + "Epoch 420/1000, Cost: 4.4339\n", + " and the parameters are [-2.60212813 3.56310914] -4.61267798922005 ;\n", + "Epoch 420/1000, Cost: 9.8489\n", + " and the parameters are [-2.60224344 3.56297429] -4.6126966870708355 ;\n", + "Epoch 420/1000, Cost: 4.3096\n", + " and the parameters are [-2.60222864 3.56287885] -4.6127883318906475 ;\n", + "Epoch 420/1000, Cost: 4.3212\n", + " and the parameters are [-2.60230458 3.56276936] -4.612853801921021 ;\n", + "Epoch 420/1000, Cost: 1.4267\n", + " and the parameters are [-2.60232016 3.56277379] -4.6128772776164935 ;\n", + "Epoch 420/1000, Cost: 2.0849\n", + " and the parameters are [-2.60229422 3.56285692] -4.612867821385859 ;\n", + "Epoch 420/1000, Cost: 4.0382\n", + " and the parameters are [-2.60237065 3.5626853 ] -4.612999518524174 ;\n", + "Epoch 420/1000, Cost: 5.1356\n", + " and the parameters are [-2.60243125 3.56260734] -4.613046773180645 ;\n", + "Epoch 420/1000, Cost: 3.4894\n", + " and the parameters are [-2.60244239 3.56260607] -4.613069350991193 ;\n", + "Epoch 420/1000, Cost: 5.2746\n", + " and the parameters are [-2.60246824 3.56263673] -4.613046081611562 ;\n", + "Epoch 420/1000, Cost: 1.4368\n", + " and the parameters are [-2.60243437 3.56272736] -4.613030937743336 ;\n", + "Epoch 420/1000, Cost: 2.0190\n", + " and the parameters are [-2.60245625 3.56269056] -4.613077999576978 ;\n", + "Epoch 420/1000, Cost: 4.8364\n", + " and the parameters are [-2.60239682 3.56267101] -4.613146088582859 ;\n", + "Epoch 420/1000, Cost: 2.0831\n", + " and the parameters are [-2.60242981 3.56265507] -4.613170680757985 ;\n", + "Epoch 420/1000, Cost: 2.3201\n", + " and the parameters are [-2.60243532 3.56271111] -4.613167675927244 ;\n", + "Epoch 420/1000, Cost: 2.7822\n", + " and the parameters are [-2.60238619 3.56278338] -4.613189670434395 ;\n", + "Epoch 420/1000, Cost: 2.0369\n", + " and the parameters are [-2.6023983 3.56275337] -4.613244878423379 ;\n", + "Epoch 420/1000, Cost: 1.6620\n", + " and the parameters are [-2.60241124 3.56276582] -4.613268901453309 ;\n", + "Epoch 420/1000, Cost: 5.4402\n", + " and the parameters are [-2.60244775 3.56280261] -4.613221356169366 ;\n", + "Epoch 420/1000, Cost: 4.2165\n", + " and the parameters are [-2.60248365 3.56273664] -4.613284937890626 ;\n", + "Epoch 420/1000, Cost: 5.5430\n", + " and the parameters are [-2.60254863 3.56277161] -4.613231491963674 ;\n", + "Epoch 420/1000, Cost: 2.3136\n", + " and the parameters are [-2.60252965 3.56289168] -4.613179101221319 ;\n", + "Epoch 420/1000, Cost: 1.6213\n", + " and the parameters are [-2.60253044 3.56293829] -4.613177695221491 ;\n", + "Epoch 420/1000, Cost: 2.0340\n", + " and the parameters are [-2.60250713 3.56298742] -4.613198707932242 ;\n", + "Epoch 420/1000, Cost: 2.5854\n", + " and the parameters are [-2.6024437 3.56297639] -4.61327325314472 ;\n", + "Epoch 420/1000, Cost: 3.9513\n", + " and the parameters are [-2.60238941 3.56301303] -4.613300816398499 ;\n", + "Epoch 420/1000, Cost: 3.2262\n", + " and the parameters are [-2.60241599 3.56299145] -4.6133522130654105 ;\n", + "Epoch 420/1000, Cost: 5.8152\n", + " and the parameters are [-2.60254179 3.56276809] -4.613463146339575 ;\n", + "Epoch 420/1000, Cost: 4.6964\n", + " and the parameters are [-2.60254145 3.56271548] -4.613525689802171 ;\n", + "Epoch 420/1000, Cost: 3.1227\n", + " and the parameters are [-2.60253489 3.56275312] -4.6135304527555645 ;\n", + "Epoch 420/1000, Cost: 4.5454\n", + " and the parameters are [-2.60247053 3.56276174] -4.613592869394791 ;\n", + "Epoch 420/1000, Cost: 4.1671\n", + " and the parameters are [-2.60252364 3.56274334] -4.6136097921128325 ;\n", + "Epoch 420/1000, Cost: 2.8412\n", + " and the parameters are [-2.6025348 3.56279612] -4.613601154311505 ;\n", + "Epoch 420/1000, Cost: 2.8532\n", + " and the parameters are [-2.60252697 3.56283045] -4.613617033432349 ;\n", + "Epoch 420/1000, Cost: 2.9876\n", + " and the parameters are [-2.60257689 3.56284075] -4.613624189187423 ;\n", + "Epoch 420/1000, Cost: 5.0344\n", + " and the parameters are [-2.60268588 3.5626973 ] -4.613687663190623 ;\n", + "Epoch 420/1000, Cost: 1.9637\n", + " and the parameters are [-2.60268232 3.56274178] -4.613688763595894 ;\n", + "Epoch 420/1000, Cost: 1.9920\n", + " and the parameters are [-2.60273961 3.56269252] -4.613732424034428 ;\n", + "Epoch 420/1000, Cost: 4.7182\n", + " and the parameters are [-2.60279341 3.56271744] -4.613725734303523 ;\n", + "Epoch 420/1000, Cost: 5.6786\n", + " and the parameters are [-2.60274403 3.56268589] -4.613786192365393 ;\n", + "Epoch 420/1000, Cost: 3.4762\n", + " and the parameters are [-2.6027591 3.56282617] -4.6136896488075525 ;\n", + "Epoch 420/1000, Cost: 4.4544\n", + " and the parameters are [-2.60277934 3.56277609] -4.61373640585136 ;\n", + "Epoch 420/1000, Cost: 4.0835\n", + " and the parameters are [-2.60279964 3.56271126] -4.613783497821963 ;\n", + "Epoch 420/1000, Cost: 2.5801\n", + " and the parameters are [-2.60284106 3.56272178] -4.6137962395832055 ;\n", + "Epoch 420/1000, Cost: 2.2733\n", + " and the parameters are [-2.60281713 3.56276557] -4.613821377993409 ;\n", + "Epoch 420/1000, Cost: 2.6898\n", + " and the parameters are [-2.60281277 3.56280042] -4.613835439728011 ;\n", + "Epoch 420/1000, Cost: 2.3382\n", + " and the parameters are [-2.60283109 3.56290631] -4.613778962693886 ;\n", + "Epoch 420/1000, Cost: 2.0635\n", + " and the parameters are [-2.60276686 3.56300522] -4.613775611059505 ;\n", + "Epoch 420/1000, Cost: 1.9891\n", + " and the parameters are [-2.60274037 3.56308523] -4.613761615040352 ;\n", + "Epoch 420/1000, Cost: 5.4499\n", + " and the parameters are [-2.60278944 3.56306012] -4.61377719367245 ;\n", + "Epoch 420/1000, Cost: 4.1466\n", + " and the parameters are [-2.60275796 3.56307324] -4.613823453921035 ;\n", + "Epoch 420/1000, Cost: 3.1579\n", + " and the parameters are [-2.6027914 3.5630879] -4.613836439888337 ;\n", + "Epoch 420/1000, Cost: 3.6469\n", + " and the parameters are [-2.60275582 3.56306863] -4.613904667522774 ;\n", + "Epoch 420/1000, Cost: 3.5961\n", + " and the parameters are [-2.60273834 3.56318284] -4.613859069909057 ;\n", + "Epoch 420/1000, Cost: 2.5051\n", + " and the parameters are [-2.60272441 3.56327858] -4.613825241476474 ;\n", + "Epoch 420/1000, Cost: 2.9977\n", + " and the parameters are [-2.60278042 3.56320736] -4.61388175378253 ;\n", + "Epoch 420/1000, Cost: 2.0908\n", + " and the parameters are [-2.60275359 3.56331783] -4.613843726536735 ;\n", + "Epoch 420/1000, Cost: 4.0330\n", + " and the parameters are [-2.60269659 3.56333107] -4.613890158066599 ;\n", + "Epoch 420/1000, Cost: 2.0318\n", + " and the parameters are [-2.60270491 3.56339709] -4.61386238536549 ;\n", + "Epoch 420/1000, Cost: 2.8823\n", + " and the parameters are [-2.60269473 3.5634682 ] -4.61386360373282 ;\n", + "Epoch 420/1000, Cost: 1.7641\n", + " and the parameters are [-2.60269908 3.56350054] -4.613867946332247 ;\n", + "Epoch 420/1000, Cost: 5.8369\n", + " and the parameters are [-2.60278686 3.56355429] -4.613807162181213 ;\n", + "Epoch 420/1000, Cost: 3.8635\n", + " and the parameters are [-2.60280567 3.56366512] -4.613749563985837 ;\n", + "Epoch 420/1000, Cost: 5.4061\n", + " and the parameters are [-2.60281287 3.56369012] -4.613757569640503 ;\n", + "Epoch 420/1000, Cost: 2.2930\n", + " and the parameters are [-2.60280651 3.56367263] -4.613800109258073 ;\n", + "Epoch 420/1000, Cost: 3.5358\n", + " and the parameters are [-2.60279283 3.56373635] -4.613799956569103 ;\n", + "Epoch 420/1000, Cost: 2.4637\n", + " and the parameters are [-2.60281044 3.56374056] -4.613830359371006 ;\n", + "Epoch 420/1000, Cost: 2.5888\n", + " and the parameters are [-2.6027684 3.56386359] -4.613799921884892 ;\n", + "Epoch 420/1000, Cost: 3.5350\n", + " and the parameters are [-2.60292766 3.56381899] -4.61376096787521 ;\n", + "Epoch 420/1000, Cost: 3.5113\n", + " and the parameters are [-2.6029154 3.56387117] -4.613784350100048 ;\n", + "Epoch 420/1000, Cost: 1.2739\n", + " and the parameters are [-2.60288879 3.56388908] -4.613813477899662 ;\n", + "Epoch 420/1000, Cost: 1.3792\n", + " and the parameters are [-2.6028644 3.56398784] -4.613782273167959 ;\n", + "Epoch 420/1000, Cost: 2.9215\n", + " and the parameters are [-2.60282244 3.56410424] -4.613759053024849 ;\n", + "Epoch 420/1000, Cost: 4.3427\n", + " and the parameters are [-2.60294127 3.56409551] -4.6137142257476444 ;\n", + "Epoch 420/1000, Cost: 2.5515\n", + " and the parameters are [-2.60301616 3.56409183] -4.613715045112426 ;\n", + "Epoch 420/1000, Cost: 1.9566\n", + " and the parameters are [-2.60300638 3.56413075] -4.613731163349313 ;\n", + "Epoch 420/1000, Cost: 1.2125\n", + " and the parameters are [-2.6029927 3.56416133] -4.613748761639027 ;\n", + "Epoch 420/1000, Cost: 3.8692\n", + " and the parameters are [-2.60297522 3.56419532] -4.6137444615701435 ;\n", + "Epoch 420/1000, Cost: 5.4205\n", + " and the parameters are [-2.60291345 3.56404215] -4.613908634845195 ;\n", + "Epoch 420/1000, Cost: 3.8872\n", + " and the parameters are [-2.60288807 3.56411435] -4.613904321173632 ;\n", + "Epoch 420/1000, Cost: 2.5087\n", + " and the parameters are [-2.6029197 3.56411161] -4.613916081974406 ;\n", + "Epoch 420/1000, Cost: 4.4028\n", + " and the parameters are [-2.60296937 3.56401445] -4.6139909354484585 ;\n", + "Epoch 420/1000, Cost: 2.2033\n", + " and the parameters are [-2.60293605 3.56411881] -4.613963874820304 ;\n", + "Epoch 420/1000, Cost: 2.7114\n", + " and the parameters are [-2.60299809 3.56406179] -4.614006082810226 ;\n", + "Epoch 420/1000, Cost: 4.2978\n", + " and the parameters are [-2.60305814 3.56405346] -4.614012256688949 ;\n", + "Epoch 420/1000, Cost: 6.1195\n", + " and the parameters are [-2.60307898 3.56398111] -4.6140627693589105 ;\n", + "Epoch 420/1000, Cost: 4.6278\n", + " and the parameters are [-2.60309306 3.56396164] -4.614084734725715 ;\n", + "Epoch 420/1000, Cost: 3.2904\n", + " and the parameters are [-2.60312521 3.56392701] -4.614117744354069 ;\n", + "Epoch 420/1000, Cost: 4.5840\n", + " and the parameters are [-2.60312339 3.56393819] -4.614132324088133 ;\n", + "Epoch 420/1000, Cost: 2.5766\n", + " and the parameters are [-2.60318356 3.56401266] -4.614081022615231 ;\n", + "Epoch 420/1000, Cost: 1.5376\n", + " and the parameters are [-2.60317104 3.56408168] -4.614071135707212 ;\n", + "Epoch 420/1000, Cost: 3.5790\n", + " and the parameters are [-2.60320377 3.56410713] -4.614069928706166 ;\n", + "Epoch 420/1000, Cost: 3.3280\n", + " and the parameters are [-2.60317467 3.56419192] -4.6140481458066995 ;\n", + "Epoch 420/1000, Cost: 4.5386\n", + " and the parameters are [-2.60325766 3.56419053] -4.614027512590706 ;\n", + "Epoch 420/1000, Cost: 1.7539\n", + " and the parameters are [-2.60325526 3.56427835] -4.61400281152135 ;\n", + "Epoch 420/1000, Cost: 3.9794\n", + " and the parameters are [-2.6032694 3.56421766] -4.614071347350134 ;\n", + "Epoch 420/1000, Cost: 4.6915\n", + " and the parameters are [-2.60331986 3.56417758] -4.614111856466721 ;\n", + "Epoch 420/1000, Cost: 3.5996\n", + " and the parameters are [-2.60326873 3.56429218] -4.614091764438683 ;\n", + "Epoch 420/1000, Cost: 5.9211\n", + " and the parameters are [-2.6033117 3.56419945] -4.614151048107592 ;\n", + "Epoch 420/1000, Cost: 2.1650\n", + " and the parameters are [-2.60331916 3.56430586] -4.614106252800208 ;\n", + "Epoch 420/1000, Cost: 2.3472\n", + " and the parameters are [-2.60327986 3.56439061] -4.614106243026414 ;\n", + "Epoch 420/1000, Cost: 1.5736\n", + " and the parameters are [-2.60327985 3.56438652] -4.614135291063535 ;\n", + "Epoch 420/1000, Cost: 3.6382\n", + " and the parameters are [-2.60321731 3.56442954] -4.61415991553528 ;\n", + "Epoch 420/1000, Cost: 3.8780\n", + " and the parameters are [-2.60316368 3.56449581] -4.6141325941410685 ;\n", + "Epoch 420/1000, Cost: 8.1809\n", + " and the parameters are [-2.60316398 3.56450741] -4.614123992929738 ;\n", + "Epoch 420/1000, Cost: 2.9565\n", + " and the parameters are [-2.60317782 3.5644254 ] -4.61420901479462 ;\n", + "Epoch 420/1000, Cost: 5.9533\n", + " and the parameters are [-2.60319573 3.56442262] -4.614203974099485 ;\n", + "Epoch 420/1000, Cost: 3.8257\n", + " and the parameters are [-2.60321126 3.56434382] -4.614275425171131 ;\n", + "Epoch 420/1000, Cost: 5.6496\n", + " and the parameters are [-2.60323082 3.56431596] -4.61428587203569 ;\n", + "Epoch 420/1000, Cost: 3.4733\n", + " and the parameters are [-2.60322915 3.56443397] -4.614230886375746 ;\n", + "Epoch 420/1000, Cost: 5.0064\n", + " and the parameters are [-2.60319975 3.56443128] -4.614294795742654 ;\n", + "Epoch 420/1000, Cost: 2.7794\n", + " and the parameters are [-2.60320223 3.56448598] -4.614297081250003 ;\n", + "Epoch 420/1000, Cost: 1.0428\n", + " and the parameters are [-2.60320802 3.56453189] -4.61429176168116 ;\n", + "Epoch 420/1000, Cost: 2.7113\n", + " and the parameters are [-2.60324573 3.56448263] -4.614336528060879 ;\n", + "Epoch 420/1000, Cost: 3.5197\n", + " and the parameters are [-2.60329595 3.56458314] -4.614273341630778 ;\n", + "Epoch 420/1000, Cost: 3.3414\n", + " and the parameters are [-2.60330841 3.56457915] -4.614307682360655 ;\n", + "Epoch 420/1000, Cost: 3.0665\n", + " and the parameters are [-2.60334008 3.56460805] -4.614302511761715 ;\n", + "Epoch 420/1000, Cost: 5.3336\n", + " and the parameters are [-2.6034922 3.56447788] -4.614325676930542 ;\n", + "Epoch 420/1000, Cost: 4.1645\n", + " and the parameters are [-2.60347482 3.56445696] -4.614391107504644 ;\n", + "Epoch 420/1000, Cost: 4.1763\n", + " and the parameters are [-2.6035304 3.56441941] -4.61443714478555 ;\n", + "Epoch 420/1000, Cost: 1.7488\n", + " and the parameters are [-2.60356948 3.56442284] -4.614449208838346 ;\n", + "Epoch 420/1000, Cost: 1.2946\n", + " and the parameters are [-2.60356509 3.56445678] -4.614461498611993 ;\n", + "Epoch 420/1000, Cost: 1.4836\n", + " and the parameters are [-2.60354748 3.56452857] -4.614455013875499 ;\n", + "Epoch 420/1000, Cost: 3.3200\n", + " and the parameters are [-2.60362651 3.56447923] -4.614494069588282 ;\n", + "Epoch 420/1000, Cost: 6.1697\n", + " and the parameters are [-2.60364562 3.56457238] -4.61444111040701 ;\n", + "Epoch 420/1000, Cost: 3.4960\n", + " and the parameters are [-2.60368275 3.56453645] -4.614475347114121 ;\n", + "Epoch 420/1000, Cost: 3.6560\n", + " and the parameters are [-2.60364013 3.56462224] -4.614463176263584 ;\n", + "Epoch 420/1000, Cost: 4.9370\n", + " and the parameters are [-2.6036469 3.56462355] -4.614486074379269 ;\n", + "Epoch 420/1000, Cost: 1.6911\n", + " and the parameters are [-2.60362723 3.56463132] -4.614524720065303 ;\n", + "Epoch 420/1000, Cost: 5.0311\n", + " and the parameters are [-2.60368494 3.56452637] -4.614592442933545 ;\n", + "Epoch 420/1000, Cost: 5.9181\n", + " and the parameters are [-2.60363805 3.56454776] -4.614616933116585 ;\n", + "Epoch 420/1000, Cost: 3.4124\n", + " and the parameters are [-2.60360286 3.56451439] -4.614710867587077 ;\n", + "Epoch 420/1000, Cost: 2.0559\n", + " and the parameters are [-2.60363185 3.56447813] -4.6147502614789575 ;\n", + "Epoch 420/1000, Cost: 4.4644\n", + " and the parameters are [-2.60365015 3.56452998] -4.6147456396211295 ;\n", + "Epoch 420/1000, Cost: 5.2034\n", + " and the parameters are [-2.60356005 3.56447653] -4.614839796040103 ;\n", + "Epoch 420/1000, Cost: 2.5019\n", + " and the parameters are [-2.60359239 3.56443792] -4.614895891702019 ;\n", + "Epoch 420/1000, Cost: 2.6926\n", + " and the parameters are [-2.6035753 3.56447381] -4.614914955097112 ;\n", + "Epoch 420/1000, Cost: 3.5735\n", + " and the parameters are [-2.6035616 3.56445577] -4.614967427343066 ;\n", + "Epoch 420/1000, Cost: 5.1201\n", + " and the parameters are [-2.6035671 3.56438335] -4.615042358290798 ;\n", + "Epoch 420/1000, Cost: 2.0306\n", + " and the parameters are [-2.60353895 3.56446399] -4.615027812521186 ;\n", + "Epoch 420/1000, Cost: 3.8128\n", + " and the parameters are [-2.60363417 3.56447846] -4.615011567324631 ;\n", + "Epoch 420/1000, Cost: 1.5839\n", + " and the parameters are [-2.60363154 3.56450326] -4.615028431228781 ;\n", + "Epoch 420/1000, Cost: 2.4133\n", + " and the parameters are [-2.60366144 3.56445618] -4.615080804614274 ;\n", + "Epoch 420/1000, Cost: 5.1179\n", + " and the parameters are [-2.6037635 3.56436543] -4.615116328221834 ;\n", + "Epoch 420/1000, Cost: 4.6298\n", + " and the parameters are [-2.60376477 3.56431793] -4.615197642711496 ;\n", + "Epoch 420/1000, Cost: 3.9026\n", + " and the parameters are [-2.60373483 3.56445499] -4.615144763943206 ;\n", + "Epoch 420/1000, Cost: 6.9848\n", + " and the parameters are [-2.60363797 3.56450183] -4.615181038130536 ;\n", + "Epoch 420/1000, Cost: 4.2242\n", + " and the parameters are [-2.60368966 3.56451515] -4.615169572472022 ;\n", + "Epoch 420/1000, Cost: 2.7788\n", + " and the parameters are [-2.60362193 3.56473564] -4.615076935709585 ;\n", + "Epoch 420/1000, Cost: 3.9315\n", + " and the parameters are [-2.60370528 3.5647052 ] -4.615081878242986 ;\n", + "Epoch 420/1000, Cost: 2.9003\n", + " and the parameters are [-2.60379983 3.56465218] -4.615100899575266 ;\n", + "Epoch 420/1000, Cost: 3.0453\n", + " and the parameters are [-2.6037978 3.56462814] -4.615162279084631 ;\n", + "Epoch 420/1000, Cost: 2.9369\n", + " and the parameters are [-2.60385366 3.56456353] -4.615212694269303 ;\n", + "Epoch 420/1000, Cost: 1.8383\n", + " and the parameters are [-2.60382596 3.56457009] -4.61526057746596 ;\n", + "Epoch 420/1000, Cost: 2.5797\n", + " and the parameters are [-2.6038319 3.56454636] -4.615305253221697 ;\n", + "Epoch 420/1000, Cost: 2.0404\n", + " and the parameters are [-2.60382788 3.56459803] -4.615305738820118 ;\n", + "Epoch 420/1000, Cost: 2.8277\n", + " and the parameters are [-2.60384557 3.56467742] -4.615281239056813 ;\n", + "Epoch 420/1000, Cost: 4.1339\n", + " and the parameters are [-2.60385275 3.56469614] -4.6153109021523955 ;\n", + "Epoch 420/1000, Cost: 1.7467\n", + " and the parameters are [-2.60388032 3.56472594] -4.615309443517126 ;\n", + "Epoch 420/1000, Cost: 4.9951\n", + " and the parameters are [-2.60390328 3.5647447 ] -4.6153093464705695 ;\n", + "Epoch 420/1000, Cost: 4.0137\n", + " and the parameters are [-2.60381218 3.56482604] -4.615334924203895 ;\n", + "Epoch 420/1000, Cost: 4.8515\n", + " and the parameters are [-2.60374943 3.56493966] -4.615310057821083 ;\n", + "Epoch 420/1000, Cost: 2.7771\n", + " and the parameters are [-2.60372674 3.56501838] -4.615299745877342 ;\n", + "Epoch 420/1000, Cost: 2.6300\n", + " and the parameters are [-2.60369626 3.56511909] -4.615271958823398 ;\n", + "Epoch 420/1000, Cost: 3.1355\n", + " and the parameters are [-2.60369255 3.56518848] -4.6152437387427465 ;\n", + "Epoch 420/1000, Cost: 4.0573\n", + " and the parameters are [-2.60377952 3.56518984] -4.615232132210072 ;\n", + "Epoch 420/1000, Cost: 1.1594\n", + " and the parameters are [-2.6037808 3.56519153] -4.6152538351635135 ;\n", + "Epoch 420/1000, Cost: 2.7280\n", + " and the parameters are [-2.60380495 3.56520698] -4.615276099835014 ;\n", + "Epoch 420/1000, Cost: 1.7148\n", + " and the parameters are [-2.60378322 3.56525142] -4.615289011572987 ;\n", + "Epoch 420/1000, Cost: 4.2656\n", + " and the parameters are [-2.60377864 3.56509996] -4.615422454417752 ;\n", + "Epoch 420/1000, Cost: 4.4917\n", + " and the parameters are [-2.6038388 3.56505703] -4.615471377698144 ;\n", + "Epoch 420/1000, Cost: 3.8866\n", + " and the parameters are [-2.60388928 3.56506053] -4.615476711073522 ;\n", + "Epoch 420/1000, Cost: 2.7192\n", + " and the parameters are [-2.60390822 3.56503723] -4.615524231438002 ;\n", + "Epoch 420/1000, Cost: 3.1318\n", + " and the parameters are [-2.60387865 3.56502743] -4.615578411594397 ;\n", + "Epoch 420/1000, Cost: 6.2820\n", + " and the parameters are [-2.60389089 3.56503236] -4.615570188286103 ;\n", + "Epoch 420/1000, Cost: 6.7728\n", + " and the parameters are [-2.60396061 3.56478782] -4.6157280670682255 ;\n", + "Epoch 420/1000, Cost: 7.9620\n", + " and the parameters are [-2.60393802 3.56491134] -4.615647941344175 ;\n", + "Epoch 420/1000, Cost: 2.0239\n", + " and the parameters are [-2.60392411 3.56497719] -4.615642337264077 ;\n", + "Epoch 420/1000, Cost: 2.3088\n", + " and the parameters are [-2.60392775 3.5650712 ] -4.615604627171241 ;\n", + "Epoch 420/1000, Cost: 1.9949\n", + " and the parameters are [-2.60396187 3.56504656] -4.615646098637826 ;\n", + "Epoch 430/1000, Cost: 5.4524\n", + " and the parameters are [-2.62048211 3.5856593 ] -4.645184338160442 ;\n", + "Epoch 430/1000, Cost: 3.2970\n", + " and the parameters are [-2.6204213 3.58570678] -4.645230793609274 ;\n", + "Epoch 430/1000, Cost: 1.2863\n", + " and the parameters are [-2.6204003 3.58572217] -4.645265229639314 ;\n", + "Epoch 430/1000, Cost: 1.4137\n", + " and the parameters are [-2.62039635 3.58576938] -4.645269232701917 ;\n", + "Epoch 430/1000, Cost: 2.9498\n", + " and the parameters are [-2.620424 3.58570011] -4.645341403520495 ;\n", + "Epoch 430/1000, Cost: 7.1546\n", + " and the parameters are [-2.62049143 3.58557832] -4.645407462971705 ;\n", + "Epoch 430/1000, Cost: 5.1385\n", + " and the parameters are [-2.62057544 3.58549932] -4.645442295649835 ;\n", + "Epoch 430/1000, Cost: 1.6486\n", + " and the parameters are [-2.62057616 3.5855616 ] -4.645426991398519 ;\n", + "Epoch 430/1000, Cost: 1.6306\n", + " and the parameters are [-2.62058846 3.58561765] -4.645409244744531 ;\n", + "Epoch 430/1000, Cost: 2.0597\n", + " and the parameters are [-2.62054991 3.58562501] -4.645463278345019 ;\n", + "Epoch 430/1000, Cost: 1.2178\n", + " and the parameters are [-2.620563 3.58566559] -4.645459749403095 ;\n", + "Epoch 430/1000, Cost: 4.1432\n", + " and the parameters are [-2.62058182 3.58578524] -4.645403999122191 ;\n", + "Epoch 430/1000, Cost: 1.7340\n", + " and the parameters are [-2.62061889 3.5858103 ] -4.645392606931673 ;\n", + "Epoch 430/1000, Cost: 4.3254\n", + " and the parameters are [-2.62059705 3.58567967] -4.645528476150282 ;\n", + "Epoch 430/1000, Cost: 3.6378\n", + " and the parameters are [-2.62060697 3.58565858] -4.645568002967286 ;\n", + "Epoch 430/1000, Cost: 5.0654\n", + " and the parameters are [-2.62063526 3.58572796] -4.645501771668544 ;\n", + "Epoch 430/1000, Cost: 1.8967\n", + " and the parameters are [-2.62061122 3.58582451] -4.645482293545993 ;\n", + "Epoch 430/1000, Cost: 3.1559\n", + " and the parameters are [-2.62060671 3.58586524] -4.645495328347983 ;\n", + "Epoch 430/1000, Cost: 4.1669\n", + " and the parameters are [-2.62065244 3.58595716] -4.645425579896451 ;\n", + "Epoch 430/1000, Cost: 1.8689\n", + " and the parameters are [-2.62066591 3.58598319] -4.645442846743105 ;\n", + "Epoch 430/1000, Cost: 1.6268\n", + " and the parameters are [-2.62068027 3.58603437] -4.645435001604981 ;\n", + "Epoch 430/1000, Cost: 8.8632\n", + " and the parameters are [-2.62053363 3.58611562] -4.64544582038168 ;\n", + "Epoch 430/1000, Cost: 2.1761\n", + " and the parameters are [-2.62052623 3.58612185] -4.645490527999791 ;\n", + "Epoch 430/1000, Cost: 2.1955\n", + " and the parameters are [-2.62057333 3.58609463] -4.645520317101829 ;\n", + "Epoch 430/1000, Cost: 3.2597\n", + " and the parameters are [-2.62054896 3.58622832] -4.645456787242654 ;\n", + "Epoch 430/1000, Cost: 1.9494\n", + " and the parameters are [-2.62053359 3.58627115] -4.645464420861794 ;\n", + "Epoch 430/1000, Cost: 5.5184\n", + " and the parameters are [-2.62061969 3.5863105 ] -4.645408886781186 ;\n", + "Epoch 430/1000, Cost: 2.8950\n", + " and the parameters are [-2.62058474 3.58633933] -4.645433036699563 ;\n", + "Epoch 430/1000, Cost: 3.0339\n", + " and the parameters are [-2.62065703 3.58630126] -4.6454593632564825 ;\n", + "Epoch 430/1000, Cost: 3.7949\n", + " and the parameters are [-2.62071461 3.58631272] -4.645445195533009 ;\n", + "Epoch 430/1000, Cost: 2.8316\n", + " and the parameters are [-2.62067478 3.58636552] -4.645451889922711 ;\n", + "Epoch 430/1000, Cost: 3.2494\n", + " and the parameters are [-2.62068536 3.58633655] -4.645509560758064 ;\n", + "Epoch 430/1000, Cost: 2.1028\n", + " and the parameters are [-2.62069319 3.58636876] -4.645523522256253 ;\n", + "Epoch 430/1000, Cost: 2.6670\n", + " and the parameters are [-2.62074863 3.58645077] -4.645469627537749 ;\n", + "Epoch 430/1000, Cost: 6.1436\n", + " and the parameters are [-2.62078994 3.58648327] -4.645417019461181 ;\n", + "Epoch 430/1000, Cost: 1.9032\n", + " and the parameters are [-2.62075971 3.58651553] -4.645452419444237 ;\n", + "Epoch 430/1000, Cost: 5.7850\n", + " and the parameters are [-2.62075828 3.58653676] -4.645435016739327 ;\n", + "Epoch 430/1000, Cost: 3.3903\n", + " and the parameters are [-2.62087166 3.58658221] -4.645372668255686 ;\n", + "Epoch 430/1000, Cost: 4.5181\n", + " and the parameters are [-2.62083244 3.58658691] -4.645427833722491 ;\n", + "Epoch 430/1000, Cost: 1.1195\n", + " and the parameters are [-2.62083535 3.58659287] -4.645450048934403 ;\n", + "Epoch 430/1000, Cost: 8.5658\n", + " and the parameters are [-2.62087982 3.58659895] -4.645443701232958 ;\n", + "Epoch 430/1000, Cost: 4.0535\n", + " and the parameters are [-2.6208372 3.58652009] -4.645530102021559 ;\n", + "Epoch 430/1000, Cost: 1.7398\n", + " and the parameters are [-2.62084612 3.58657925] -4.645514559217433 ;\n", + "Epoch 430/1000, Cost: 3.2597\n", + " and the parameters are [-2.62090262 3.5866888 ] -4.6454412083496015 ;\n", + "Epoch 430/1000, Cost: 5.0713\n", + " and the parameters are [-2.62087091 3.58671029] -4.645441513997711 ;\n", + "Epoch 430/1000, Cost: 3.7256\n", + " and the parameters are [-2.6208859 3.58661369] -4.645537466981972 ;\n", + "Epoch 430/1000, Cost: 3.7252\n", + " and the parameters are [-2.62088226 3.58660382] -4.645570962577754 ;\n", + "Epoch 430/1000, Cost: 1.7727\n", + " and the parameters are [-2.62086739 3.58662474] -4.645600151658709 ;\n", + "Epoch 430/1000, Cost: 4.5077\n", + " and the parameters are [-2.62092173 3.58653654] -4.645669294725123 ;\n", + "Epoch 430/1000, Cost: 2.4972\n", + " and the parameters are [-2.62090575 3.58651421] -4.64571139103993 ;\n", + "Epoch 430/1000, Cost: 4.2806\n", + " and the parameters are [-2.62088809 3.58646879] -4.645788319172232 ;\n", + "Epoch 430/1000, Cost: 7.1815\n", + " and the parameters are [-2.62111043 3.58637029] -4.645739156754388 ;\n", + "Epoch 430/1000, Cost: 2.0541\n", + " and the parameters are [-2.62115248 3.5862861 ] -4.645808059879412 ;\n", + "Epoch 430/1000, Cost: 4.7444\n", + " and the parameters are [-2.62125673 3.58620083] -4.645857360786522 ;\n", + "Epoch 430/1000, Cost: 2.0454\n", + " and the parameters are [-2.62125811 3.58627258] -4.645845622254352 ;\n", + "Epoch 430/1000, Cost: 2.3721\n", + " and the parameters are [-2.62124494 3.58632473] -4.645852115415447 ;\n", + "Epoch 430/1000, Cost: 2.7452\n", + " and the parameters are [-2.6211606 3.58634886] -4.645919002717287 ;\n", + "Epoch 430/1000, Cost: 2.8114\n", + " and the parameters are [-2.62112328 3.58631308] -4.64599514673134 ;\n", + "Epoch 430/1000, Cost: 4.6215\n", + " and the parameters are [-2.62102698 3.58636471] -4.646016713380235 ;\n", + "Epoch 430/1000, Cost: 4.1048\n", + " and the parameters are [-2.62103091 3.58631966] -4.646074192571589 ;\n", + "Epoch 430/1000, Cost: 5.5762\n", + " and the parameters are [-2.6211047 3.58614424] -4.6461784593437665 ;\n", + "Epoch 430/1000, Cost: 2.6941\n", + " and the parameters are [-2.62113331 3.5861932 ] -4.646158499697531 ;\n", + "Epoch 430/1000, Cost: 1.7594\n", + " and the parameters are [-2.62114546 3.58624163] -4.64615412801617 ;\n", + "Epoch 430/1000, Cost: 10.0146\n", + " and the parameters are [-2.62109984 3.58619645] -4.646167400159506 ;\n", + "Epoch 430/1000, Cost: 3.1351\n", + " and the parameters are [-2.62111322 3.58624735] -4.646152325415337 ;\n", + "Epoch 430/1000, Cost: 2.4908\n", + " and the parameters are [-2.62113667 3.58634868] -4.646098887269617 ;\n", + "Epoch 430/1000, Cost: 4.2328\n", + " and the parameters are [-2.62116919 3.58625298] -4.6461605326236315 ;\n", + "Epoch 430/1000, Cost: 2.1321\n", + " and the parameters are [-2.6211935 3.58622929] -4.646201239356092 ;\n", + "Epoch 430/1000, Cost: 3.7902\n", + " and the parameters are [-2.6211803 3.58625543] -4.646214684351815 ;\n", + "Epoch 430/1000, Cost: 3.1398\n", + " and the parameters are [-2.62123261 3.58631891] -4.646167518031698 ;\n", + "Epoch 430/1000, Cost: 2.2661\n", + " and the parameters are [-2.62125292 3.58630064] -4.646194352573575 ;\n", + "Epoch 430/1000, Cost: 3.7679\n", + " and the parameters are [-2.62122464 3.58630636] -4.646226561838311 ;\n", + "Epoch 430/1000, Cost: 2.8512\n", + " and the parameters are [-2.62122223 3.58630298] -4.64627025059171 ;\n", + "Epoch 430/1000, Cost: 5.3720\n", + " and the parameters are [-2.62106437 3.58639407] -4.646324902182197 ;\n", + "Epoch 430/1000, Cost: 3.6283\n", + " and the parameters are [-2.62105758 3.58639312] -4.646376543894638 ;\n", + "Epoch 430/1000, Cost: 2.6257\n", + " and the parameters are [-2.62108432 3.58644167] -4.646355279866706 ;\n", + "Epoch 430/1000, Cost: 2.4204\n", + " and the parameters are [-2.62106463 3.58646006] -4.646386189141554 ;\n", + "Epoch 430/1000, Cost: 2.3968\n", + " and the parameters are [-2.621108 3.58653868] -4.6463324763628915 ;\n", + "Epoch 430/1000, Cost: 5.3248\n", + " and the parameters are [-2.62115633 3.58653163] -4.646324800037013 ;\n", + "Epoch 430/1000, Cost: 4.6721\n", + " and the parameters are [-2.6211614 3.5864744] -4.646408074920674 ;\n", + "Epoch 430/1000, Cost: 1.5895\n", + " and the parameters are [-2.62116005 3.58648839] -4.6464296435207695 ;\n", + "Epoch 430/1000, Cost: 5.4943\n", + " and the parameters are [-2.62115632 3.58647966] -4.646456743502669 ;\n", + "Epoch 430/1000, Cost: 2.3542\n", + " and the parameters are [-2.62118806 3.58645745] -4.646487921481374 ;\n", + "Epoch 430/1000, Cost: 4.0379\n", + " and the parameters are [-2.62122357 3.58648987] -4.646482454209695 ;\n", + "Epoch 430/1000, Cost: 3.4682\n", + " and the parameters are [-2.62129188 3.5864919 ] -4.646483411394612 ;\n", + "Epoch 430/1000, Cost: 3.0599\n", + " and the parameters are [-2.62129667 3.58655526] -4.646476893908298 ;\n", + "Epoch 430/1000, Cost: 3.6186\n", + " and the parameters are [-2.62129275 3.58650472] -4.646555159138476 ;\n", + "Epoch 430/1000, Cost: 5.7409\n", + " and the parameters are [-2.6212837 3.58642392] -4.646618107085061 ;\n", + "Epoch 430/1000, Cost: 3.2453\n", + " and the parameters are [-2.6212925 3.58640387] -4.646653540753808 ;\n", + "Epoch 430/1000, Cost: 1.9411\n", + " and the parameters are [-2.62132508 3.58638516] -4.6466898114169854 ;\n", + "Epoch 430/1000, Cost: 1.8043\n", + " and the parameters are [-2.62132784 3.58640218] -4.646710221683615 ;\n", + "Epoch 430/1000, Cost: 2.8155\n", + " and the parameters are [-2.62141635 3.58645793] -4.646652182596849 ;\n", + "Epoch 430/1000, Cost: 2.2742\n", + " and the parameters are [-2.62142943 3.58651889] -4.646644761426465 ;\n", + "Epoch 430/1000, Cost: 1.9141\n", + " and the parameters are [-2.62140765 3.58655614] -4.646665944314213 ;\n", + "Epoch 430/1000, Cost: 1.9114\n", + " and the parameters are [-2.62142635 3.58656935] -4.646677105614155 ;\n", + "Epoch 430/1000, Cost: 1.8860\n", + " and the parameters are [-2.62142047 3.58661434] -4.646683034155318 ;\n", + "Epoch 430/1000, Cost: 3.8211\n", + " and the parameters are [-2.62138064 3.58672842] -4.646660364909666 ;\n", + "Epoch 430/1000, Cost: 1.7352\n", + " and the parameters are [-2.62137511 3.58677683] -4.6466723387239455 ;\n", + "Epoch 430/1000, Cost: 4.6147\n", + " and the parameters are [-2.62135976 3.58673649] -4.646747613856573 ;\n", + "Epoch 430/1000, Cost: 2.0665\n", + " and the parameters are [-2.62143393 3.58667786] -4.646793875490826 ;\n", + "Epoch 430/1000, Cost: 4.1108\n", + " and the parameters are [-2.6214045 3.58661194] -4.646900638331583 ;\n", + "Epoch 430/1000, Cost: 2.7282\n", + " and the parameters are [-2.62146918 3.58653588] -4.646962415166427 ;\n", + "Epoch 430/1000, Cost: 2.1706\n", + " and the parameters are [-2.62150402 3.58658483] -4.646947264804052 ;\n", + "Epoch 430/1000, Cost: 3.7489\n", + " and the parameters are [-2.62149756 3.58661512] -4.646967065514171 ;\n", + "Epoch 430/1000, Cost: 4.4188\n", + " and the parameters are [-2.62151665 3.58666668] -4.646941499406054 ;\n", + "Epoch 430/1000, Cost: 3.4465\n", + " and the parameters are [-2.62164533 3.58651687] -4.646998194424377 ;\n", + "Epoch 430/1000, Cost: 2.8066\n", + " and the parameters are [-2.62163591 3.58664591] -4.646953784419668 ;\n", + "Epoch 430/1000, Cost: 2.2343\n", + " and the parameters are [-2.62167203 3.58663622] -4.646975540403629 ;\n", + "Epoch 430/1000, Cost: 3.0284\n", + " and the parameters are [-2.62169968 3.58667818] -4.6469697150392735 ;\n", + "Epoch 430/1000, Cost: 3.6741\n", + " and the parameters are [-2.62172929 3.58660897] -4.647034853191738 ;\n", + "Epoch 430/1000, Cost: 4.4270\n", + " and the parameters are [-2.62171202 3.58658151] -4.647090168535957 ;\n", + "Epoch 430/1000, Cost: 3.0462\n", + " and the parameters are [-2.621725 3.58668474] -4.647035241572938 ;\n", + "Epoch 430/1000, Cost: 1.9940\n", + " and the parameters are [-2.62166109 3.58678981] -4.647024111826034 ;\n", + "Epoch 430/1000, Cost: 3.7135\n", + " and the parameters are [-2.62160765 3.58685207] -4.647038232140765 ;\n", + "Epoch 430/1000, Cost: 1.6168\n", + " and the parameters are [-2.62162833 3.58685215] -4.647057434030666 ;\n", + "Epoch 430/1000, Cost: 4.8843\n", + " and the parameters are [-2.62157626 3.58694684] -4.647032589222755 ;\n", + "Epoch 430/1000, Cost: 1.5037\n", + " and the parameters are [-2.62159017 3.58694625] -4.6470602923267395 ;\n", + "Epoch 430/1000, Cost: 6.0409\n", + " and the parameters are [-2.6216005 3.58678141] -4.647182213253056 ;\n", + "Epoch 430/1000, Cost: 1.9588\n", + " and the parameters are [-2.6216241 3.58685493] -4.647144696899585 ;\n", + "Epoch 430/1000, Cost: 1.3862\n", + " and the parameters are [-2.62165213 3.58682981] -4.647175833309214 ;\n", + "Epoch 430/1000, Cost: 2.1141\n", + " and the parameters are [-2.621706 3.58681283] -4.647196194867591 ;\n", + "Epoch 430/1000, Cost: 7.7990\n", + " and the parameters are [-2.62178166 3.58681357] -4.6471378337763065 ;\n", + "Epoch 430/1000, Cost: 4.9463\n", + " and the parameters are [-2.62177051 3.58694795] -4.64708056121332 ;\n", + "Epoch 430/1000, Cost: 4.4679\n", + " and the parameters are [-2.62175696 3.58697613] -4.647100269799045 ;\n", + "Epoch 430/1000, Cost: 2.5858\n", + " and the parameters are [-2.62172757 3.58699603] -4.647132916957906 ;\n", + "Epoch 430/1000, Cost: 4.1036\n", + " and the parameters are [-2.62176907 3.58696578] -4.6471522935444955 ;\n", + "Epoch 430/1000, Cost: 3.7607\n", + " and the parameters are [-2.62174841 3.58695744] -4.6471878633168515 ;\n", + "Epoch 430/1000, Cost: 3.8507\n", + " and the parameters are [-2.62173419 3.58694647] -4.647236600831161 ;\n", + "Epoch 430/1000, Cost: 1.2348\n", + " and the parameters are [-2.62175825 3.58696246] -4.647243566436681 ;\n", + "Epoch 430/1000, Cost: 2.4399\n", + " and the parameters are [-2.62175779 3.58691772] -4.647296875180168 ;\n", + "Epoch 430/1000, Cost: 1.2247\n", + " and the parameters are [-2.6217945 3.58690809] -4.647315119901893 ;\n", + "Epoch 430/1000, Cost: 1.2202\n", + " and the parameters are [-2.62180957 3.58694869] -4.647304865866729 ;\n", + "Epoch 430/1000, Cost: 5.3665\n", + " and the parameters are [-2.62178631 3.58700413] -4.647296931320133 ;\n", + "Epoch 430/1000, Cost: 3.6097\n", + " and the parameters are [-2.62176866 3.58696899] -4.647373234094574 ;\n", + "Epoch 430/1000, Cost: 6.3989\n", + " and the parameters are [-2.62183281 3.58695623] -4.64738346303743 ;\n", + "Epoch 430/1000, Cost: 5.1668\n", + " and the parameters are [-2.62179862 3.58701833] -4.64737060812577 ;\n", + "Epoch 430/1000, Cost: 2.5173\n", + " and the parameters are [-2.62185705 3.58694659] -4.647425062406947 ;\n", + "Epoch 430/1000, Cost: 2.9034\n", + " and the parameters are [-2.62186146 3.5869491 ] -4.647455663879645 ;\n", + "Epoch 430/1000, Cost: 1.9975\n", + " and the parameters are [-2.6218546 3.58700557] -4.64745516656128 ;\n", + "Epoch 430/1000, Cost: 2.2779\n", + " and the parameters are [-2.62185917 3.5870606 ] -4.6474432013668805 ;\n", + "Epoch 430/1000, Cost: 5.1327\n", + " and the parameters are [-2.62189355 3.58708014] -4.647443963891549 ;\n", + "Epoch 430/1000, Cost: 2.8347\n", + " and the parameters are [-2.62189417 3.5872357 ] -4.647376026065971 ;\n", + "Epoch 430/1000, Cost: 5.3212\n", + " and the parameters are [-2.62192131 3.58721683] -4.647388070841585 ;\n", + "Epoch 430/1000, Cost: 7.8900\n", + " and the parameters are [-2.62194499 3.58710139] -4.647469468950595 ;\n", + "Epoch 430/1000, Cost: 2.4804\n", + " and the parameters are [-2.62196815 3.58703988] -4.647548296879716 ;\n", + "Epoch 430/1000, Cost: 4.9817\n", + " and the parameters are [-2.6219848 3.58695191] -4.647649283232758 ;\n", + "Epoch 430/1000, Cost: 3.5332\n", + " and the parameters are [-2.62203522 3.58683547] -4.647736946839085 ;\n", + "Epoch 430/1000, Cost: 1.9587\n", + " and the parameters are [-2.62202034 3.58684868] -4.647771326815645 ;\n", + "Epoch 430/1000, Cost: 1.5947\n", + " and the parameters are [-2.62203364 3.58689772] -4.64775370055372 ;\n", + "Epoch 430/1000, Cost: 1.4625\n", + " and the parameters are [-2.62207702 3.5868734 ] -4.647779052101543 ;\n", + "Epoch 430/1000, Cost: 5.1754\n", + " and the parameters are [-2.62205536 3.5869426 ] -4.647747207267832 ;\n", + "Epoch 430/1000, Cost: 3.2061\n", + " and the parameters are [-2.62201644 3.58704442] -4.647732452547132 ;\n", + "Epoch 430/1000, Cost: 3.0958\n", + " and the parameters are [-2.62203606 3.58711231] -4.647714359685544 ;\n", + "Epoch 430/1000, Cost: 4.2098\n", + " and the parameters are [-2.62202466 3.58703232] -4.647805327117575 ;\n", + "Epoch 430/1000, Cost: 2.7669\n", + " and the parameters are [-2.62204 3.58711922] -4.647760261391997 ;\n", + "Epoch 430/1000, Cost: 5.3035\n", + " and the parameters are [-2.62212164 3.58700983] -4.647820203261139 ;\n", + "Epoch 430/1000, Cost: 3.0560\n", + " and the parameters are [-2.6221738 3.58701636] -4.647832251649711 ;\n", + "Epoch 430/1000, Cost: 2.9512\n", + " and the parameters are [-2.62219747 3.58697116] -4.647892804641738 ;\n", + "Epoch 430/1000, Cost: 1.9239\n", + " and the parameters are [-2.62218498 3.58696972] -4.647932914484254 ;\n", + "Epoch 430/1000, Cost: 2.3165\n", + " and the parameters are [-2.62221121 3.58699953] -4.647941794483847 ;\n", + "Epoch 430/1000, Cost: 4.7077\n", + " and the parameters are [-2.62221779 3.58695223] -4.648013936004423 ;\n", + "Epoch 430/1000, Cost: 3.7605\n", + " and the parameters are [-2.62223444 3.58697914] -4.648009739151581 ;\n", + "Epoch 430/1000, Cost: 3.4955\n", + " and the parameters are [-2.62226159 3.58700548] -4.64801995538882 ;\n", + "Epoch 430/1000, Cost: 3.9572\n", + " and the parameters are [-2.62225554 3.58701892] -4.648044567762003 ;\n", + "Epoch 430/1000, Cost: 2.6762\n", + " and the parameters are [-2.62225079 3.58713803] -4.648000784321389 ;\n", + "Epoch 430/1000, Cost: 2.7185\n", + " and the parameters are [-2.62222813 3.58719839] -4.648005211458929 ;\n", + "Epoch 430/1000, Cost: 2.6795\n", + " and the parameters are [-2.62226903 3.58718102] -4.64803348733625 ;\n", + "Epoch 430/1000, Cost: 2.6785\n", + " and the parameters are [-2.62233056 3.58723637] -4.647986484218423 ;\n", + "Epoch 430/1000, Cost: 5.4312\n", + " and the parameters are [-2.62229701 3.58729348] -4.647991261642044 ;\n", + "Epoch 430/1000, Cost: 2.8242\n", + " and the parameters are [-2.62223155 3.58744567] -4.647948300804566 ;\n", + "Epoch 430/1000, Cost: 4.0920\n", + " and the parameters are [-2.62220268 3.58754168] -4.647923061345813 ;\n", + "Epoch 430/1000, Cost: 3.3231\n", + " and the parameters are [-2.62218305 3.58760984] -4.6479252983465456 ;\n", + "Epoch 430/1000, Cost: 2.7269\n", + " and the parameters are [-2.62216106 3.58765712] -4.647937820496526 ;\n", + "Epoch 430/1000, Cost: 3.9876\n", + " and the parameters are [-2.6221739 3.58763522] -4.64798687714986 ;\n", + "Epoch 430/1000, Cost: 2.2326\n", + " and the parameters are [-2.6221811 3.58759436] -4.648050514108178 ;\n", + "Epoch 430/1000, Cost: 1.5869\n", + " and the parameters are [-2.62215041 3.58761907] -4.6480863831033465 ;\n", + "Epoch 430/1000, Cost: 2.8690\n", + " and the parameters are [-2.62217902 3.58757058] -4.648138929032544 ;\n", + "Epoch 430/1000, Cost: 1.0209\n", + " and the parameters are [-2.62217689 3.58762166] -4.648131134998861 ;\n", + "Epoch 430/1000, Cost: 3.0670\n", + " and the parameters are [-2.62215144 3.58773417] -4.648094364798739 ;\n", + "Epoch 430/1000, Cost: 3.0846\n", + " and the parameters are [-2.62219694 3.58763756] -4.648159842987026 ;\n", + "Epoch 430/1000, Cost: 6.8097\n", + " and the parameters are [-2.62224472 3.58753864] -4.648226465130111 ;\n", + "Epoch 430/1000, Cost: 3.2359\n", + " and the parameters are [-2.62231415 3.58748248] -4.6482796413215555 ;\n", + "Epoch 430/1000, Cost: 8.2702\n", + " and the parameters are [-2.62234527 3.58757941] -4.648180758983774 ;\n", + "Epoch 430/1000, Cost: 2.8961\n", + " and the parameters are [-2.62237377 3.58767157] -4.648117611810818 ;\n", + "Epoch 430/1000, Cost: 2.6180\n", + " and the parameters are [-2.62241329 3.58772263] -4.64810345837719 ;\n", + "Epoch 430/1000, Cost: 6.8951\n", + " and the parameters are [-2.62234639 3.5877509 ] -4.648084474948555 ;\n", + "Epoch 430/1000, Cost: 3.7583\n", + " and the parameters are [-2.62240227 3.58764694] -4.64816043676899 ;\n", + "Epoch 430/1000, Cost: 4.4981\n", + " and the parameters are [-2.62239787 3.5876874 ] -4.648166651883097 ;\n", + "Epoch 430/1000, Cost: 2.3834\n", + " and the parameters are [-2.62235782 3.5876713 ] -4.648234210555628 ;\n", + "Epoch 430/1000, Cost: 2.0921\n", + " and the parameters are [-2.6222867 3.58781133] -4.6481976645865215 ;\n", + "Epoch 430/1000, Cost: 2.6328\n", + " and the parameters are [-2.62239566 3.58772421] -4.648232205124046 ;\n", + "Epoch 430/1000, Cost: 1.4349\n", + " and the parameters are [-2.62244518 3.58768812] -4.648260658977921 ;\n", + "Epoch 430/1000, Cost: 3.8879\n", + " and the parameters are [-2.6223492 3.58770763] -4.648333529556896 ;\n", + "Epoch 430/1000, Cost: 2.9930\n", + " and the parameters are [-2.62235272 3.58777983] -4.648318508055484 ;\n", + "Epoch 430/1000, Cost: 3.9814\n", + " and the parameters are [-2.62240358 3.58775703] -4.648347755817567 ;\n", + "Epoch 430/1000, Cost: 7.7309\n", + " and the parameters are [-2.62239288 3.58764772] -4.64842629164 ;\n", + "Epoch 430/1000, Cost: 4.4822\n", + " and the parameters are [-2.62243941 3.58761677] -4.648444495511237 ;\n", + "Epoch 430/1000, Cost: 2.7810\n", + " and the parameters are [-2.62244577 3.58764519] -4.648444773046481 ;\n", + "Epoch 430/1000, Cost: 3.7636\n", + " and the parameters are [-2.6224076 3.58770152] -4.6484613942386 ;\n", + "Epoch 430/1000, Cost: 3.3701\n", + " and the parameters are [-2.62238553 3.58772875] -4.648482258730983 ;\n", + "Epoch 440/1000, Cost: 2.6741\n", + " and the parameters are [-2.63858839 3.60788361] -4.677392995902236 ;\n", + "Epoch 440/1000, Cost: 5.2980\n", + " and the parameters are [-2.63854175 3.60793477] -4.6773903241351 ;\n", + "Epoch 440/1000, Cost: 2.2139\n", + " and the parameters are [-2.63855255 3.60793005] -4.6774274256605075 ;\n", + "Epoch 440/1000, Cost: 2.3085\n", + " and the parameters are [-2.63855387 3.60800334] -4.677405889937728 ;\n", + "Epoch 440/1000, Cost: 4.6905\n", + " and the parameters are [-2.63856747 3.6080638 ] -4.677390740872079 ;\n", + "Epoch 440/1000, Cost: 4.0705\n", + " and the parameters are [-2.63861431 3.6080452 ] -4.677412154469319 ;\n", + "Epoch 440/1000, Cost: 2.2289\n", + " and the parameters are [-2.63862654 3.60811971] -4.677373725644535 ;\n", + "Epoch 440/1000, Cost: 2.4629\n", + " and the parameters are [-2.63865681 3.60806589] -4.677440371263706 ;\n", + "Epoch 440/1000, Cost: 5.6787\n", + " and the parameters are [-2.63868268 3.6080841 ] -4.677412831415333 ;\n", + "Epoch 440/1000, Cost: 1.6316\n", + " and the parameters are [-2.63867645 3.60810072] -4.677435212366485 ;\n", + "Epoch 440/1000, Cost: 2.2653\n", + " and the parameters are [-2.63868974 3.60813735] -4.677438275391271 ;\n", + "Epoch 440/1000, Cost: 5.1222\n", + " and the parameters are [-2.63874732 3.60798109] -4.677549874631296 ;\n", + "Epoch 440/1000, Cost: 4.5139\n", + " and the parameters are [-2.63876321 3.6080851 ] -4.6774794652677345 ;\n", + "Epoch 440/1000, Cost: 1.6628\n", + " and the parameters are [-2.63873889 3.60811542] -4.677512239266442 ;\n", + "Epoch 440/1000, Cost: 3.0808\n", + " and the parameters are [-2.63866305 3.60812441] -4.677596252328842 ;\n", + "Epoch 440/1000, Cost: 2.2496\n", + " and the parameters are [-2.63866292 3.60817383] -4.677600523538623 ;\n", + "Epoch 440/1000, Cost: 2.6088\n", + " and the parameters are [-2.63872854 3.60810552] -4.67764713124947 ;\n", + "Epoch 440/1000, Cost: 3.4103\n", + " and the parameters are [-2.63869415 3.60813041] -4.677687784274351 ;\n", + "Epoch 440/1000, Cost: 2.8883\n", + " and the parameters are [-2.63868115 3.60819602] -4.6776702082471155 ;\n", + "Epoch 440/1000, Cost: 1.0613\n", + " and the parameters are [-2.63870116 3.60816956] -4.677699919174695 ;\n", + "Epoch 440/1000, Cost: 3.0544\n", + " and the parameters are [-2.6387129 3.60810349] -4.677780899705678 ;\n", + "Epoch 440/1000, Cost: 2.7001\n", + " and the parameters are [-2.63873123 3.60810012] -4.6778001411156 ;\n", + "Epoch 440/1000, Cost: 5.8843\n", + " and the parameters are [-2.6387742 3.60801966] -4.677868955621916 ;\n", + "Epoch 440/1000, Cost: 6.0909\n", + " and the parameters are [-2.63874227 3.6080323 ] -4.677894785226239 ;\n", + "Epoch 440/1000, Cost: 4.7649\n", + " and the parameters are [-2.63877913 3.60809596] -4.677857536263358 ;\n", + "Epoch 440/1000, Cost: 1.6198\n", + " and the parameters are [-2.63874451 3.60814344] -4.677877705759577 ;\n", + "Epoch 440/1000, Cost: 3.9008\n", + " and the parameters are [-2.63867679 3.60811172] -4.677953773372201 ;\n", + "Epoch 440/1000, Cost: 2.1992\n", + " and the parameters are [-2.63869301 3.60815621] -4.677942609140253 ;\n", + "Epoch 440/1000, Cost: 5.1456\n", + " and the parameters are [-2.63866879 3.60818542] -4.677950409438086 ;\n", + "Epoch 440/1000, Cost: 1.5863\n", + " and the parameters are [-2.63866806 3.60821513] -4.677962170666596 ;\n", + "Epoch 440/1000, Cost: 3.7861\n", + " and the parameters are [-2.63866054 3.60827889] -4.677948203168217 ;\n", + "Epoch 440/1000, Cost: 3.1844\n", + " and the parameters are [-2.63866634 3.60832008] -4.677942398227108 ;\n", + "Epoch 440/1000, Cost: 3.2017\n", + " and the parameters are [-2.63872963 3.60828894] -4.677966754873222 ;\n", + "Epoch 440/1000, Cost: 1.7094\n", + " and the parameters are [-2.63874764 3.60834608] -4.677944539373535 ;\n", + "Epoch 440/1000, Cost: 6.9494\n", + " and the parameters are [-2.63863431 3.60848923] -4.677892277038786 ;\n", + "Epoch 440/1000, Cost: 2.7061\n", + " and the parameters are [-2.63864878 3.60849614] -4.677922429506196 ;\n", + "Epoch 440/1000, Cost: 4.2142\n", + " and the parameters are [-2.6386478 3.60854211] -4.677923815840984 ;\n", + "Epoch 440/1000, Cost: 2.3148\n", + " and the parameters are [-2.63861287 3.60866486] -4.6778827434194055 ;\n", + "Epoch 440/1000, Cost: 1.7774\n", + " and the parameters are [-2.63860117 3.60868078] -4.677906159785943 ;\n", + "Epoch 440/1000, Cost: 2.3913\n", + " and the parameters are [-2.63861437 3.60871589] -4.677916911281455 ;\n", + "Epoch 440/1000, Cost: 3.7406\n", + " and the parameters are [-2.63859892 3.60870668] -4.67796246762853 ;\n", + "Epoch 440/1000, Cost: 5.7415\n", + " and the parameters are [-2.63861646 3.60880856] -4.677894214717647 ;\n", + "Epoch 440/1000, Cost: 4.2455\n", + " and the parameters are [-2.63860676 3.60875303] -4.677967668499272 ;\n", + "Epoch 440/1000, Cost: 3.5738\n", + " and the parameters are [-2.63866893 3.60866452] -4.678021303461219 ;\n", + "Epoch 440/1000, Cost: 4.3853\n", + " and the parameters are [-2.63869296 3.60862712] -4.678057459190863 ;\n", + "Epoch 440/1000, Cost: 2.2348\n", + " and the parameters are [-2.6387613 3.6085443] -4.6781121673074395 ;\n", + "Epoch 440/1000, Cost: 4.2739\n", + " and the parameters are [-2.6387592 3.60871773] -4.678020678128438 ;\n", + "Epoch 440/1000, Cost: 3.7239\n", + " and the parameters are [-2.63879228 3.6087025 ] -4.678050964692685 ;\n", + "Epoch 440/1000, Cost: 3.1856\n", + " and the parameters are [-2.63880258 3.60873455] -4.678059406981447 ;\n", + "Epoch 440/1000, Cost: 2.5458\n", + " and the parameters are [-2.63874514 3.608867 ] -4.678014491171507 ;\n", + "Epoch 440/1000, Cost: 2.6500\n", + " and the parameters are [-2.63876368 3.60890063] -4.678006050905238 ;\n", + "Epoch 440/1000, Cost: 4.6798\n", + " and the parameters are [-2.638796 3.6088102] -4.678076470666826 ;\n", + "Epoch 440/1000, Cost: 9.8972\n", + " and the parameters are [-2.63879205 3.60869837] -4.678132434545676 ;\n", + "Epoch 440/1000, Cost: 1.1730\n", + " and the parameters are [-2.63877076 3.60875977] -4.678131334975462 ;\n", + "Epoch 440/1000, Cost: 1.7429\n", + " and the parameters are [-2.63874798 3.60881531] -4.678136464331227 ;\n", + "Epoch 440/1000, Cost: 7.0085\n", + " and the parameters are [-2.63874354 3.60873469] -4.67820978189445 ;\n", + "Epoch 440/1000, Cost: 6.4189\n", + " and the parameters are [-2.63873241 3.60868074] -4.678268421556825 ;\n", + "Epoch 440/1000, Cost: 4.1051\n", + " and the parameters are [-2.63882185 3.6086342 ] -4.6782825951451334 ;\n", + "Epoch 440/1000, Cost: 3.8503\n", + " and the parameters are [-2.6389095 3.60856135] -4.678330466073766 ;\n", + "Epoch 440/1000, Cost: 3.6119\n", + " and the parameters are [-2.63900655 3.60861689] -4.678251480398597 ;\n", + "Epoch 440/1000, Cost: 2.4647\n", + " and the parameters are [-2.63902468 3.60863673] -4.678264217712123 ;\n", + "Epoch 440/1000, Cost: 3.6193\n", + " and the parameters are [-2.63906296 3.60866226] -4.678268720608495 ;\n", + "Epoch 440/1000, Cost: 3.6180\n", + " and the parameters are [-2.63907962 3.60877194] -4.678212483177526 ;\n", + "Epoch 440/1000, Cost: 2.6259\n", + " and the parameters are [-2.63909705 3.60874914] -4.6782603662028395 ;\n", + "Epoch 440/1000, Cost: 2.8184\n", + " and the parameters are [-2.63913403 3.60876622] -4.678259954196233 ;\n", + "Epoch 440/1000, Cost: 5.2075\n", + " and the parameters are [-2.63908421 3.60869409] -4.6783532884131995 ;\n", + "Epoch 440/1000, Cost: 2.6334\n", + " and the parameters are [-2.63907982 3.60869476] -4.678403517244076 ;\n", + "Epoch 440/1000, Cost: 3.0087\n", + " and the parameters are [-2.63908896 3.60877539] -4.678382450632489 ;\n", + "Epoch 440/1000, Cost: 3.2910\n", + " and the parameters are [-2.63914262 3.60870465] -4.678437952414065 ;\n", + "Epoch 440/1000, Cost: 2.8524\n", + " and the parameters are [-2.63918668 3.60871281] -4.678431786322158 ;\n", + "Epoch 440/1000, Cost: 2.1444\n", + " and the parameters are [-2.63915265 3.60878355] -4.678445552208646 ;\n", + "Epoch 440/1000, Cost: 4.0651\n", + " and the parameters are [-2.63904564 3.60886397] -4.678485469314694 ;\n", + "Epoch 440/1000, Cost: 3.8178\n", + " and the parameters are [-2.63909033 3.60883016] -4.678521679684111 ;\n", + "Epoch 440/1000, Cost: 4.1414\n", + " and the parameters are [-2.6390926 3.60893542] -4.678459966502454 ;\n", + "Epoch 440/1000, Cost: 3.2726\n", + " and the parameters are [-2.63909491 3.6088999 ] -4.678521240196549 ;\n", + "Epoch 440/1000, Cost: 3.6163\n", + " and the parameters are [-2.63913888 3.6088914 ] -4.678536806859507 ;\n", + "Epoch 440/1000, Cost: 4.9952\n", + " and the parameters are [-2.63906035 3.60899501] -4.678524617232337 ;\n", + "Epoch 440/1000, Cost: 4.0225\n", + " and the parameters are [-2.63907676 3.6089663 ] -4.678581986430239 ;\n", + "Epoch 440/1000, Cost: 1.9999\n", + " and the parameters are [-2.63911682 3.60891832] -4.6786256983242644 ;\n", + "Epoch 440/1000, Cost: 5.1780\n", + " and the parameters are [-2.63912326 3.6088514 ] -4.678699179051082 ;\n", + "Epoch 440/1000, Cost: 5.0410\n", + " and the parameters are [-2.63916315 3.60886725] -4.678679726437498 ;\n", + "Epoch 440/1000, Cost: 2.6253\n", + " and the parameters are [-2.63912723 3.60886067] -4.678735094325697 ;\n", + "Epoch 440/1000, Cost: 2.0660\n", + " and the parameters are [-2.63910435 3.60884607] -4.678791006820854 ;\n", + "Epoch 440/1000, Cost: 1.7345\n", + " and the parameters are [-2.63910433 3.60885235] -4.678822444804332 ;\n", + "Epoch 440/1000, Cost: 4.9518\n", + " and the parameters are [-2.63927462 3.60882718] -4.678769539813578 ;\n", + "Epoch 440/1000, Cost: 3.5747\n", + " and the parameters are [-2.63930916 3.60890654] -4.678701769910479 ;\n", + "Epoch 440/1000, Cost: 4.8397\n", + " and the parameters are [-2.63926671 3.60900066] -4.678666807560877 ;\n", + "Epoch 440/1000, Cost: 2.4558\n", + " and the parameters are [-2.63929812 3.60907504] -4.6786282057098365 ;\n", + "Epoch 440/1000, Cost: 2.6869\n", + " and the parameters are [-2.63923627 3.60921129] -4.678592839032438 ;\n", + "Epoch 440/1000, Cost: 2.9384\n", + " and the parameters are [-2.63922495 3.6091791 ] -4.678662735339714 ;\n", + "Epoch 440/1000, Cost: 2.7888\n", + " and the parameters are [-2.63925051 3.60920058] -4.678675998714946 ;\n", + "Epoch 440/1000, Cost: 2.7509\n", + " and the parameters are [-2.63920587 3.60933608] -4.678625212272644 ;\n", + "Epoch 440/1000, Cost: 1.7956\n", + " and the parameters are [-2.63922093 3.60940181] -4.678598391484288 ;\n", + "Epoch 440/1000, Cost: 1.8300\n", + " and the parameters are [-2.63919733 3.60950499] -4.678574235822342 ;\n", + "Epoch 440/1000, Cost: 6.7170\n", + " and the parameters are [-2.63915341 3.6095643 ] -4.6785337572909125 ;\n", + "Epoch 440/1000, Cost: 1.4859\n", + " and the parameters are [-2.63914455 3.60962202] -4.678527981862867 ;\n", + "Epoch 440/1000, Cost: 2.6192\n", + " and the parameters are [-2.63919244 3.60961869] -4.678542943619676 ;\n", + "Epoch 440/1000, Cost: 3.1762\n", + " and the parameters are [-2.6392692 3.60967617] -4.678491700833855 ;\n", + "Epoch 440/1000, Cost: 2.9589\n", + " and the parameters are [-2.63933205 3.60977808] -4.678423256030379 ;\n", + "Epoch 440/1000, Cost: 2.4926\n", + " and the parameters are [-2.63933465 3.60976911] -4.67846013934226 ;\n", + "Epoch 440/1000, Cost: 1.6048\n", + " and the parameters are [-2.63934663 3.60976845] -4.6784895623358675 ;\n", + "Epoch 440/1000, Cost: 3.2481\n", + " and the parameters are [-2.63933703 3.60984123] -4.678489305969351 ;\n", + "Epoch 440/1000, Cost: 2.8972\n", + " and the parameters are [-2.63935823 3.60986504] -4.678507896691242 ;\n", + "Epoch 440/1000, Cost: 7.2620\n", + " and the parameters are [-2.63944124 3.60963704] -4.678629899551613 ;\n", + "Epoch 440/1000, Cost: 2.3195\n", + " and the parameters are [-2.63940724 3.60968699] -4.6786447632387365 ;\n", + "Epoch 440/1000, Cost: 6.0506\n", + " and the parameters are [-2.63936799 3.6098376 ] -4.6785501629465776 ;\n", + "Epoch 440/1000, Cost: 4.1240\n", + " and the parameters are [-2.63940207 3.6097133 ] -4.678647236825433 ;\n", + "Epoch 440/1000, Cost: 1.9134\n", + " and the parameters are [-2.63940645 3.60971927] -4.678667693173017 ;\n", + "Epoch 440/1000, Cost: 1.2361\n", + " and the parameters are [-2.63941167 3.60977585] -4.67865441020083 ;\n", + "Epoch 440/1000, Cost: 1.5891\n", + " and the parameters are [-2.63944169 3.60982832] -4.678631504823083 ;\n", + "Epoch 440/1000, Cost: 1.8966\n", + " and the parameters are [-2.63950505 3.60977631] -4.678656764706781 ;\n", + "Epoch 440/1000, Cost: 3.2452\n", + " and the parameters are [-2.63948345 3.60976896] -4.678716602996172 ;\n", + "Epoch 440/1000, Cost: 2.6144\n", + " and the parameters are [-2.6394448 3.60988788] -4.678686114040357 ;\n", + "Epoch 440/1000, Cost: 2.5005\n", + " and the parameters are [-2.63956271 3.60983059] -4.67869436026521 ;\n", + "Epoch 440/1000, Cost: 5.4839\n", + " and the parameters are [-2.63950772 3.60996305] -4.678627367609607 ;\n", + "Epoch 440/1000, Cost: 2.8305\n", + " and the parameters are [-2.63950925 3.60993465] -4.67868306859212 ;\n", + "Epoch 440/1000, Cost: 2.8245\n", + " and the parameters are [-2.63953947 3.60996963] -4.678665270105384 ;\n", + "Epoch 440/1000, Cost: 2.1420\n", + " and the parameters are [-2.63954278 3.61003852] -4.67864952291069 ;\n", + "Epoch 440/1000, Cost: 3.3761\n", + " and the parameters are [-2.63955714 3.61005075] -4.678667821373903 ;\n", + "Epoch 440/1000, Cost: 2.7370\n", + " and the parameters are [-2.63957619 3.61002473] -4.678704893677586 ;\n", + "Epoch 440/1000, Cost: 0.8419\n", + " and the parameters are [-2.63957446 3.61006858] -4.678699080524153 ;\n", + "Epoch 440/1000, Cost: 4.1541\n", + " and the parameters are [-2.63961783 3.60994853] -4.67878677673937 ;\n", + "Epoch 440/1000, Cost: 1.9521\n", + " and the parameters are [-2.63960558 3.61005858] -4.678743982343768 ;\n", + "Epoch 440/1000, Cost: 5.6804\n", + " and the parameters are [-2.63972267 3.60991034] -4.6788103805593515 ;\n", + "Epoch 440/1000, Cost: 2.9085\n", + " and the parameters are [-2.63979498 3.60985579] -4.678847193811353 ;\n", + "Epoch 440/1000, Cost: 1.0704\n", + " and the parameters are [-2.63976966 3.60989021] -4.678864417277984 ;\n", + "Epoch 440/1000, Cost: 2.3724\n", + " and the parameters are [-2.63973753 3.60989259] -4.6789092092293165 ;\n", + "Epoch 440/1000, Cost: 2.7855\n", + " and the parameters are [-2.63971866 3.60984293] -4.678992849759415 ;\n", + "Epoch 440/1000, Cost: 6.0630\n", + " and the parameters are [-2.63975171 3.60970819] -4.679091622239083 ;\n", + "Epoch 440/1000, Cost: 2.9132\n", + " and the parameters are [-2.63975648 3.60971482] -4.67912394822219 ;\n", + "Epoch 440/1000, Cost: 1.8275\n", + " and the parameters are [-2.63982885 3.60968531] -4.6791292020406585 ;\n", + "Epoch 440/1000, Cost: 2.0862\n", + " and the parameters are [-2.63983114 3.60975212] -4.6791106345991285 ;\n", + "Epoch 440/1000, Cost: 3.4869\n", + " and the parameters are [-2.63982962 3.60973351] -4.679157798266102 ;\n", + "Epoch 440/1000, Cost: 3.2215\n", + " and the parameters are [-2.6399348 3.60960499] -4.67922751914556 ;\n", + "Epoch 440/1000, Cost: 3.6963\n", + " and the parameters are [-2.63996028 3.60952057] -4.679297768842584 ;\n", + "Epoch 440/1000, Cost: 6.7646\n", + " and the parameters are [-2.6399517 3.60956945] -4.6792910465242485 ;\n", + "Epoch 440/1000, Cost: 3.1885\n", + " and the parameters are [-2.64000919 3.60962913] -4.679231415382999 ;\n", + "Epoch 440/1000, Cost: 6.2589\n", + " and the parameters are [-2.63998885 3.60965626] -4.679234712291571 ;\n", + "Epoch 440/1000, Cost: 5.7842\n", + " and the parameters are [-2.63995798 3.60983732] -4.679131726407532 ;\n", + "Epoch 440/1000, Cost: 2.0248\n", + " and the parameters are [-2.63989662 3.60986596] -4.6791680566481935 ;\n", + "Epoch 440/1000, Cost: 3.2255\n", + " and the parameters are [-2.63990472 3.60987898] -4.679204609085472 ;\n", + "Epoch 440/1000, Cost: 1.2275\n", + " and the parameters are [-2.63987 3.60994572] -4.679194795251476 ;\n", + "Epoch 440/1000, Cost: 2.3938\n", + " and the parameters are [-2.63987059 3.6099095 ] -4.679255830251356 ;\n", + "Epoch 440/1000, Cost: 6.8036\n", + " and the parameters are [-2.63992789 3.60977134] -4.679345215672383 ;\n", + "Epoch 440/1000, Cost: 5.8271\n", + " and the parameters are [-2.63995428 3.60970833] -4.679425816846736 ;\n", + "Epoch 440/1000, Cost: 3.2144\n", + " and the parameters are [-2.63999323 3.60966104] -4.679479828785084 ;\n", + "Epoch 440/1000, Cost: 3.1738\n", + " and the parameters are [-2.64001019 3.60966135] -4.679518089690022 ;\n", + "Epoch 440/1000, Cost: 4.8056\n", + " and the parameters are [-2.64002739 3.6096454 ] -4.679540107122724 ;\n", + "Epoch 440/1000, Cost: 3.3302\n", + " and the parameters are [-2.64008767 3.60953628] -4.679620355900925 ;\n", + "Epoch 440/1000, Cost: 3.1578\n", + " and the parameters are [-2.64014965 3.6094215 ] -4.67970969610449 ;\n", + "Epoch 440/1000, Cost: 10.0658\n", + " and the parameters are [-2.64002528 3.60937572] -4.679796278897813 ;\n", + "Epoch 440/1000, Cost: 7.3361\n", + " and the parameters are [-2.64002301 3.60946492] -4.679740684844385 ;\n", + "Epoch 440/1000, Cost: 5.7204\n", + " and the parameters are [-2.64007716 3.60945468] -4.679749039722562 ;\n", + "Epoch 440/1000, Cost: 0.8726\n", + " and the parameters are [-2.64010197 3.60945066] -4.679765835821461 ;\n", + "Epoch 440/1000, Cost: 3.8401\n", + " and the parameters are [-2.64015427 3.60937233] -4.67981779278511 ;\n", + "Epoch 440/1000, Cost: 2.0110\n", + " and the parameters are [-2.64019826 3.60940042] -4.679805840791729 ;\n", + "Epoch 440/1000, Cost: 2.9809\n", + " and the parameters are [-2.64020091 3.6094529 ] -4.679792706864288 ;\n", + "Epoch 440/1000, Cost: 4.2476\n", + " and the parameters are [-2.64014765 3.60946133] -4.679846473437167 ;\n", + "Epoch 440/1000, Cost: 7.2242\n", + " and the parameters are [-2.64010434 3.60950592] -4.679835281144178 ;\n", + "Epoch 440/1000, Cost: 3.4744\n", + " and the parameters are [-2.6400736 3.60964947] -4.6797636452597615 ;\n", + "Epoch 440/1000, Cost: 1.2607\n", + " and the parameters are [-2.64004359 3.60968738] -4.679778060513612 ;\n", + "Epoch 440/1000, Cost: 2.4845\n", + " and the parameters are [-2.64002233 3.60974667] -4.679772472735198 ;\n", + "Epoch 440/1000, Cost: 6.2299\n", + " and the parameters are [-2.63999644 3.60963629] -4.6798808892016615 ;\n", + "Epoch 440/1000, Cost: 2.4034\n", + " and the parameters are [-2.640024 3.60960335] -4.679929771463568 ;\n", + "Epoch 440/1000, Cost: 3.8100\n", + " and the parameters are [-2.64007685 3.60956305] -4.679974442276424 ;\n", + "Epoch 440/1000, Cost: 5.3712\n", + " and the parameters are [-2.6400727 3.60956224] -4.679983527782086 ;\n", + "Epoch 440/1000, Cost: 3.6007\n", + " and the parameters are [-2.64003497 3.60966129] -4.679961600723167 ;\n", + "Epoch 440/1000, Cost: 4.7345\n", + " and the parameters are [-2.64007447 3.60968179] -4.679943747700627 ;\n", + "Epoch 440/1000, Cost: 2.2340\n", + " and the parameters are [-2.64006176 3.60969318] -4.679988650595021 ;\n", + "Epoch 440/1000, Cost: 2.7257\n", + " and the parameters are [-2.64001538 3.60985345] -4.679930583648937 ;\n", + "Epoch 440/1000, Cost: 2.8992\n", + " and the parameters are [-2.64002364 3.60984568] -4.679974593248695 ;\n", + "Epoch 440/1000, Cost: 4.9984\n", + " and the parameters are [-2.64003504 3.60993639] -4.679907461102714 ;\n", + "Epoch 440/1000, Cost: 2.5204\n", + " and the parameters are [-2.64007746 3.61000583] -4.679869438263807 ;\n", + "Epoch 440/1000, Cost: 2.8385\n", + " and the parameters are [-2.64008314 3.61003293] -4.679875656662868 ;\n", + "Epoch 440/1000, Cost: 4.1358\n", + " and the parameters are [-2.64001306 3.61013907] -4.679861535051788 ;\n", + "Epoch 440/1000, Cost: 4.2364\n", + " and the parameters are [-2.64000378 3.61014496] -4.67989610189489 ;\n", + "Epoch 440/1000, Cost: 2.4741\n", + " and the parameters are [-2.64002861 3.61018838] -4.679886508452294 ;\n", + "Epoch 440/1000, Cost: 3.7827\n", + " and the parameters are [-2.64005501 3.61015919] -4.679919564539243 ;\n", + "Epoch 440/1000, Cost: 5.4786\n", + " and the parameters are [-2.64010283 3.61015461] -4.679925152695384 ;\n", + "Epoch 440/1000, Cost: 1.7956\n", + " and the parameters are [-2.64008165 3.61016421] -4.679961878959384 ;\n", + "Epoch 440/1000, Cost: 4.2938\n", + " and the parameters are [-2.64009962 3.61004039] -4.680079596095187 ;\n", + "Epoch 440/1000, Cost: 2.4843\n", + " and the parameters are [-2.64005883 3.61013628] -4.680070341390672 ;\n", + "Epoch 440/1000, Cost: 2.6111\n", + " and the parameters are [-2.64008845 3.61022919] -4.680019677810694 ;\n", + "Epoch 440/1000, Cost: 4.8603\n", + " and the parameters are [-2.64007652 3.61022789] -4.680037433756261 ;\n", + "Epoch 440/1000, Cost: 3.9850\n", + " and the parameters are [-2.64015728 3.61010042] -4.680116365577506 ;\n", + "Epoch 440/1000, Cost: 1.4377\n", + " and the parameters are [-2.64013003 3.61010208] -4.680163584287107 ;\n", + "Epoch 440/1000, Cost: 3.6172\n", + " and the parameters are [-2.64018902 3.60993644] -4.680270607280847 ;\n", + "Epoch 440/1000, Cost: 2.9132\n", + " and the parameters are [-2.64018942 3.60991151] -4.680317763985476 ;\n", + "Epoch 440/1000, Cost: 1.6357\n", + " and the parameters are [-2.64020347 3.60992943] -4.680327656711775 ;\n", + "Epoch 440/1000, Cost: 2.6390\n", + " and the parameters are [-2.64022039 3.60992933] -4.680359853925086 ;\n", + "Epoch 440/1000, Cost: 1.6484\n", + " and the parameters are [-2.64023747 3.60991833] -4.68039336141057 ;\n", + "Epoch 440/1000, Cost: 3.3094\n", + " and the parameters are [-2.64020892 3.60997007] -4.680415769896441 ;\n", + "Epoch 440/1000, Cost: 2.3432\n", + " and the parameters are [-2.64020248 3.60999169] -4.680444622712357 ;\n", + "Epoch 440/1000, Cost: 1.0600\n", + " and the parameters are [-2.64021284 3.61001694] -4.680451055863044 ;\n", + "Epoch 440/1000, Cost: 3.4609\n", + " and the parameters are [-2.6402347 3.60999699] -4.6804843566620375 ;\n", + "Epoch 440/1000, Cost: 3.9845\n", + " and the parameters are [-2.64023054 3.61007443] -4.680467630670569 ;\n", + "Epoch 440/1000, Cost: 2.9264\n", + " and the parameters are [-2.64026298 3.61007521] -4.680489001814025 ;\n", + "Epoch 440/1000, Cost: 1.2517\n", + " and the parameters are [-2.64030747 3.61003994] -4.6805246632975575 ;\n", + "Epoch 440/1000, Cost: 2.8255\n", + " and the parameters are [-2.64039758 3.60994934] -4.680585408064039 ;\n", + "Epoch 440/1000, Cost: 1.4496\n", + " and the parameters are [-2.64040688 3.60999353] -4.680582435148357 ;\n", + "Epoch 450/1000, Cost: 2.4639\n", + " and the parameters are [-2.65637628 3.62956372] -4.7089631532246266 ;\n", + "Epoch 450/1000, Cost: 3.7062\n", + " and the parameters are [-2.65637837 3.62957022] -4.70898316181448 ;\n", + "Epoch 450/1000, Cost: 4.0039\n", + " and the parameters are [-2.65641971 3.62964689] -4.708912952399375 ;\n", + "Epoch 450/1000, Cost: 1.9703\n", + " and the parameters are [-2.65636627 3.62974283] -4.708904144607738 ;\n", + "Epoch 450/1000, Cost: 1.5120\n", + " and the parameters are [-2.6563495 3.62982049] -4.708883154323325 ;\n", + "Epoch 450/1000, Cost: 1.4760\n", + " and the parameters are [-2.65634998 3.6298287 ] -4.708912043865401 ;\n", + "Epoch 450/1000, Cost: 9.0872\n", + " and the parameters are [-2.65627913 3.62999673] -4.70878184786043 ;\n", + "Epoch 450/1000, Cost: 3.1057\n", + " and the parameters are [-2.65620245 3.63001814] -4.708844643880495 ;\n", + "Epoch 450/1000, Cost: 2.1933\n", + " and the parameters are [-2.65627088 3.62998784] -4.708848761706826 ;\n", + "Epoch 450/1000, Cost: 2.5417\n", + " and the parameters are [-2.65627153 3.63005076] -4.708834953154264 ;\n", + "Epoch 450/1000, Cost: 4.1186\n", + " and the parameters are [-2.65632415 3.63007454] -4.708821936819091 ;\n", + "Epoch 450/1000, Cost: 4.0947\n", + " and the parameters are [-2.6563946 3.63015089] -4.708764517659089 ;\n", + "Epoch 450/1000, Cost: 1.5941\n", + " and the parameters are [-2.65641894 3.63018204] -4.708763656416626 ;\n", + "Epoch 450/1000, Cost: 5.6975\n", + " and the parameters are [-2.6564813 3.63010522] -4.7088109146381205 ;\n", + "Epoch 450/1000, Cost: 2.6974\n", + " and the parameters are [-2.65647803 3.63012827] -4.708831772002101 ;\n", + "Epoch 450/1000, Cost: 4.4767\n", + " and the parameters are [-2.65652718 3.63003593] -4.708898207409281 ;\n", + "Epoch 450/1000, Cost: 2.5164\n", + " and the parameters are [-2.65653988 3.6301377 ] -4.7088646631187085 ;\n", + "Epoch 450/1000, Cost: 2.5653\n", + " and the parameters are [-2.65654726 3.63016435] -4.7088761089983695 ;\n", + "Epoch 450/1000, Cost: 2.8878\n", + " and the parameters are [-2.65655726 3.6302108 ] -4.708864577589352 ;\n", + "Epoch 450/1000, Cost: 5.2604\n", + " and the parameters are [-2.65653026 3.63028695] -4.708828213431775 ;\n", + "Epoch 450/1000, Cost: 3.0169\n", + " and the parameters are [-2.65651283 3.63027523] -4.7088825869802555 ;\n", + "Epoch 450/1000, Cost: 3.2660\n", + " and the parameters are [-2.65654259 3.6301949 ] -4.7089590652706255 ;\n", + "Epoch 450/1000, Cost: 2.7744\n", + " and the parameters are [-2.65661032 3.63024312] -4.70891946161429 ;\n", + "Epoch 450/1000, Cost: 5.6311\n", + " and the parameters are [-2.65663213 3.6301852 ] -4.708985083932587 ;\n", + "Epoch 450/1000, Cost: 1.3434\n", + " and the parameters are [-2.65664718 3.63018531] -4.7090078003541045 ;\n", + "Epoch 450/1000, Cost: 2.8150\n", + " and the parameters are [-2.65666271 3.63012071] -4.709090735964698 ;\n", + "Epoch 450/1000, Cost: 1.6346\n", + " and the parameters are [-2.65669409 3.63017496] -4.709064387843328 ;\n", + "Epoch 450/1000, Cost: 2.2931\n", + " and the parameters are [-2.65668819 3.63015444] -4.709115716065971 ;\n", + "Epoch 450/1000, Cost: 3.2727\n", + " and the parameters are [-2.6566528 3.63019104] -4.709124242650209 ;\n", + "Epoch 450/1000, Cost: 2.0586\n", + " and the parameters are [-2.65667546 3.63022386] -4.709124066835571 ;\n", + "Epoch 450/1000, Cost: 1.1874\n", + " and the parameters are [-2.65667364 3.63024373] -4.709142735204646 ;\n", + "Epoch 450/1000, Cost: 3.0742\n", + " and the parameters are [-2.65671336 3.63018583] -4.709196388586774 ;\n", + "Epoch 450/1000, Cost: 5.7824\n", + " and the parameters are [-2.65681457 3.63007189] -4.709250080921601 ;\n", + "Epoch 450/1000, Cost: 3.3039\n", + " and the parameters are [-2.65677984 3.6301821 ] -4.709213535381089 ;\n", + "Epoch 450/1000, Cost: 3.3785\n", + " and the parameters are [-2.6567821 3.63016211] -4.7092779558897 ;\n", + "Epoch 450/1000, Cost: 2.8566\n", + " and the parameters are [-2.6568326 3.63014962] -4.709293568726121 ;\n", + "Epoch 450/1000, Cost: 4.9099\n", + " and the parameters are [-2.65687963 3.63017993] -4.70929657862427 ;\n", + "Epoch 450/1000, Cost: 1.4962\n", + " and the parameters are [-2.65691178 3.63021507] -4.7092882795012985 ;\n", + "Epoch 450/1000, Cost: 1.3975\n", + " and the parameters are [-2.65693708 3.63024895] -4.7092858980579635 ;\n", + "Epoch 450/1000, Cost: 1.1651\n", + " and the parameters are [-2.65695264 3.63026169] -4.709298453814087 ;\n", + "Epoch 450/1000, Cost: 1.8345\n", + " and the parameters are [-2.65699765 3.63026069] -4.709313001778997 ;\n", + "Epoch 450/1000, Cost: 2.2162\n", + " and the parameters are [-2.65704987 3.63019143] -4.709358166535832 ;\n", + "Epoch 450/1000, Cost: 2.1487\n", + " and the parameters are [-2.65700145 3.6302545 ] -4.709376374179363 ;\n", + "Epoch 450/1000, Cost: 2.3335\n", + " and the parameters are [-2.65702359 3.63022916] -4.709424218754007 ;\n", + "Epoch 450/1000, Cost: 4.4969\n", + " and the parameters are [-2.65715991 3.630088 ] -4.70947003385698 ;\n", + "Epoch 450/1000, Cost: 1.7705\n", + " and the parameters are [-2.65715217 3.63019806] -4.709423249616536 ;\n", + "Epoch 450/1000, Cost: 1.4259\n", + " and the parameters are [-2.6571453 3.63026494] -4.709404891518522 ;\n", + "Epoch 450/1000, Cost: 5.5725\n", + " and the parameters are [-2.65721352 3.63011638] -4.7094975723643975 ;\n", + "Epoch 450/1000, Cost: 3.7660\n", + " and the parameters are [-2.65721168 3.63013141] -4.709533931288266 ;\n", + "Epoch 450/1000, Cost: 1.7982\n", + " and the parameters are [-2.65721896 3.63015896] -4.709549257604502 ;\n", + "Epoch 450/1000, Cost: 4.7384\n", + " and the parameters are [-2.65720447 3.63021618] -4.7095130173309 ;\n", + "Epoch 450/1000, Cost: 2.2376\n", + " and the parameters are [-2.65720212 3.63022022] -4.709552083536252 ;\n", + "Epoch 450/1000, Cost: 4.5728\n", + " and the parameters are [-2.65720297 3.63027583] -4.709545204296745 ;\n", + "Epoch 450/1000, Cost: 1.1640\n", + " and the parameters are [-2.65720771 3.63031257] -4.709540349733365 ;\n", + "Epoch 450/1000, Cost: 3.4511\n", + " and the parameters are [-2.65713538 3.63030089] -4.709608489437047 ;\n", + "Epoch 450/1000, Cost: 1.7290\n", + " and the parameters are [-2.65707026 3.63036511] -4.709631371050891 ;\n", + "Epoch 450/1000, Cost: 3.7492\n", + " and the parameters are [-2.65707581 3.63047167] -4.709567589109623 ;\n", + "Epoch 450/1000, Cost: 4.8920\n", + " and the parameters are [-2.65711295 3.63031457] -4.709700792549534 ;\n", + "Epoch 450/1000, Cost: 0.8068\n", + " and the parameters are [-2.65710569 3.63033119] -4.709717591387095 ;\n", + "Epoch 450/1000, Cost: 3.5669\n", + " and the parameters are [-2.65705369 3.63032512] -4.7097573673538005 ;\n", + "Epoch 450/1000, Cost: 4.3631\n", + " and the parameters are [-2.65702117 3.63034496] -4.709796639540286 ;\n", + "Epoch 450/1000, Cost: 1.5867\n", + " and the parameters are [-2.65702548 3.63035737] -4.709820429547053 ;\n", + "Epoch 450/1000, Cost: 3.3967\n", + " and the parameters are [-2.6570564 3.63043695] -4.709767070833655 ;\n", + "Epoch 450/1000, Cost: 3.8560\n", + " and the parameters are [-2.65714157 3.63025477] -4.7098800361705235 ;\n", + "Epoch 450/1000, Cost: 5.2084\n", + " and the parameters are [-2.65727148 3.63011013] -4.70992688244884 ;\n", + "Epoch 450/1000, Cost: 1.6784\n", + " and the parameters are [-2.65729125 3.63015668] -4.7099145401549505 ;\n", + "Epoch 450/1000, Cost: 3.5171\n", + " and the parameters are [-2.65725498 3.63020295] -4.709924823501325 ;\n", + "Epoch 450/1000, Cost: 2.1471\n", + " and the parameters are [-2.65726999 3.63018788] -4.70996504239233 ;\n", + "Epoch 450/1000, Cost: 3.6561\n", + " and the parameters are [-2.65723605 3.63020242] -4.709993462307651 ;\n", + "Epoch 450/1000, Cost: 2.3021\n", + " and the parameters are [-2.65724999 3.6302402 ] -4.709986057596503 ;\n", + "Epoch 450/1000, Cost: 5.6408\n", + " and the parameters are [-2.6572557 3.63027164] -4.709968234261063 ;\n", + "Epoch 450/1000, Cost: 4.8160\n", + " and the parameters are [-2.65724004 3.63021449] -4.7100403765269006 ;\n", + "Epoch 450/1000, Cost: 4.9818\n", + " and the parameters are [-2.65730265 3.63014052] -4.71008903606152 ;\n", + "Epoch 450/1000, Cost: 4.8860\n", + " and the parameters are [-2.65732494 3.63011522] -4.710117954331108 ;\n", + "Epoch 450/1000, Cost: 2.9826\n", + " and the parameters are [-2.65728123 3.63019651] -4.710121326047844 ;\n", + "Epoch 450/1000, Cost: 2.4896\n", + " and the parameters are [-2.65730655 3.6302376 ] -4.7101181443418305 ;\n", + "Epoch 450/1000, Cost: 3.0758\n", + " and the parameters are [-2.65739281 3.63026883] -4.710072263518019 ;\n", + "Epoch 450/1000, Cost: 3.6413\n", + " and the parameters are [-2.65745389 3.63013248] -4.710172389724053 ;\n", + "Epoch 450/1000, Cost: 3.7980\n", + " and the parameters are [-2.65752756 3.63006367] -4.710226707634015 ;\n", + "Epoch 450/1000, Cost: 1.2943\n", + " and the parameters are [-2.65753818 3.6300964 ] -4.710228419771509 ;\n", + "Epoch 450/1000, Cost: 2.6691\n", + " and the parameters are [-2.65753486 3.6300432 ] -4.710311465228372 ;\n", + "Epoch 450/1000, Cost: 4.0846\n", + " and the parameters are [-2.65752573 3.6300935 ] -4.710311926688152 ;\n", + "Epoch 450/1000, Cost: 1.9876\n", + " and the parameters are [-2.65757516 3.63008526] -4.710332300513193 ;\n", + "Epoch 450/1000, Cost: 1.7672\n", + " and the parameters are [-2.65761521 3.63005947] -4.710367744197555 ;\n", + "Epoch 450/1000, Cost: 4.5099\n", + " and the parameters are [-2.65764518 3.6299111 ] -4.710493271904492 ;\n", + "Epoch 450/1000, Cost: 2.6339\n", + " and the parameters are [-2.65766293 3.62990558] -4.710523034179666 ;\n", + "Epoch 450/1000, Cost: 4.0124\n", + " and the parameters are [-2.65762378 3.62984473] -4.710610784835868 ;\n", + "Epoch 450/1000, Cost: 2.3895\n", + " and the parameters are [-2.65760597 3.6299504 ] -4.710574373937806 ;\n", + "Epoch 450/1000, Cost: 5.8904\n", + " and the parameters are [-2.65764204 3.63001712] -4.710529816166698 ;\n", + "Epoch 450/1000, Cost: 2.4104\n", + " and the parameters are [-2.65765489 3.63002444] -4.710561477303281 ;\n", + "Epoch 450/1000, Cost: 2.0728\n", + " and the parameters are [-2.65761161 3.63012715] -4.71054026402028 ;\n", + "Epoch 450/1000, Cost: 2.4941\n", + " and the parameters are [-2.65759242 3.63012839] -4.710575356427972 ;\n", + "Epoch 450/1000, Cost: 5.4053\n", + " and the parameters are [-2.65760083 3.63006617] -4.710651598234589 ;\n", + "Epoch 450/1000, Cost: 2.6334\n", + " and the parameters are [-2.65759491 3.63001615] -4.7107187544932705 ;\n", + "Epoch 450/1000, Cost: 4.3050\n", + " and the parameters are [-2.65763448 3.63008259] -4.710683542125601 ;\n", + "Epoch 450/1000, Cost: 7.9914\n", + " and the parameters are [-2.65763957 3.6301219 ] -4.710667888475093 ;\n", + "Epoch 450/1000, Cost: 2.8448\n", + " and the parameters are [-2.65764952 3.63013283] -4.710700145805943 ;\n", + "Epoch 450/1000, Cost: 4.5034\n", + " and the parameters are [-2.65775704 3.63006301] -4.710701913883623 ;\n", + "Epoch 450/1000, Cost: 4.7258\n", + " and the parameters are [-2.65778348 3.63006019] -4.710714920772961 ;\n", + "Epoch 450/1000, Cost: 0.6942\n", + " and the parameters are [-2.657789 3.63008652] -4.710716186857835 ;\n", + "Epoch 450/1000, Cost: 3.4251\n", + " and the parameters are [-2.65782775 3.63011726] -4.710709229609909 ;\n", + "Epoch 450/1000, Cost: 5.6923\n", + " and the parameters are [-2.65782445 3.63012601] -4.710724143314353 ;\n", + "Epoch 450/1000, Cost: 2.6669\n", + " and the parameters are [-2.65785862 3.63023162] -4.710658219820336 ;\n", + "Epoch 450/1000, Cost: 2.7865\n", + " and the parameters are [-2.65788033 3.63025075] -4.710667898019609 ;\n", + "Epoch 450/1000, Cost: 2.4883\n", + " and the parameters are [-2.65791653 3.63031269] -4.710632526230926 ;\n", + "Epoch 450/1000, Cost: 3.1145\n", + " and the parameters are [-2.65793445 3.6303384 ] -4.710641533832241 ;\n", + "Epoch 450/1000, Cost: 3.7405\n", + " and the parameters are [-2.6578749 3.63032071] -4.710716591488235 ;\n", + "Epoch 450/1000, Cost: 2.7549\n", + " and the parameters are [-2.65791223 3.63036018] -4.710689191094713 ;\n", + "Epoch 450/1000, Cost: 7.6175\n", + " and the parameters are [-2.65788015 3.63013308] -4.710882786100856 ;\n", + "Epoch 450/1000, Cost: 1.8680\n", + " and the parameters are [-2.65785789 3.63022532] -4.710858695702181 ;\n", + "Epoch 450/1000, Cost: 3.2004\n", + " and the parameters are [-2.6578963 3.63030449] -4.710824668346001 ;\n", + "Epoch 450/1000, Cost: 5.2350\n", + " and the parameters are [-2.65778067 3.63044306] -4.710788124091898 ;\n", + "Epoch 450/1000, Cost: 3.5671\n", + " and the parameters are [-2.6577874 3.63033465] -4.710890655585386 ;\n", + "Epoch 450/1000, Cost: 3.6264\n", + " and the parameters are [-2.65777739 3.63037927] -4.710900100632051 ;\n", + "Epoch 450/1000, Cost: 5.0985\n", + " and the parameters are [-2.65769192 3.6304502 ] -4.710900443031544 ;\n", + "Epoch 450/1000, Cost: 1.9550\n", + " and the parameters are [-2.6577404 3.63050299] -4.710859553051851 ;\n", + "Epoch 450/1000, Cost: 5.6077\n", + " and the parameters are [-2.65778872 3.6304669 ] -4.710857133805411 ;\n", + "Epoch 450/1000, Cost: 1.8446\n", + " and the parameters are [-2.65778207 3.63048476] -4.7108880514056475 ;\n", + "Epoch 450/1000, Cost: 4.2675\n", + " and the parameters are [-2.65781563 3.63039223] -4.710958524905834 ;\n", + "Epoch 450/1000, Cost: 2.6194\n", + " and the parameters are [-2.65776736 3.63046538] -4.7109693041538865 ;\n", + "Epoch 450/1000, Cost: 1.8336\n", + " and the parameters are [-2.65781495 3.63043681] -4.710996824724089 ;\n", + "Epoch 450/1000, Cost: 1.8915\n", + " and the parameters are [-2.65784593 3.63046843] -4.710994066005282 ;\n", + "Epoch 450/1000, Cost: 4.1420\n", + " and the parameters are [-2.657888 3.63046662] -4.7109930724115925 ;\n", + "Epoch 450/1000, Cost: 2.8830\n", + " and the parameters are [-2.65790206 3.63039348] -4.711079026805865 ;\n", + "Epoch 450/1000, Cost: 3.2400\n", + " and the parameters are [-2.65791395 3.63035985] -4.711132745122983 ;\n", + "Epoch 450/1000, Cost: 2.7256\n", + " and the parameters are [-2.65793335 3.6304089 ] -4.711096078181831 ;\n", + "Epoch 450/1000, Cost: 3.1810\n", + " and the parameters are [-2.65794397 3.63040307] -4.711132613400455 ;\n", + "Epoch 450/1000, Cost: 2.1893\n", + " and the parameters are [-2.65794682 3.6304746 ] -4.7111173588990125 ;\n", + "Epoch 450/1000, Cost: 3.7067\n", + " and the parameters are [-2.65804067 3.63051043] -4.7110740400274365 ;\n", + "Epoch 450/1000, Cost: 1.8554\n", + " and the parameters are [-2.6580448 3.63055817] -4.711070571626698 ;\n", + "Epoch 450/1000, Cost: 3.0703\n", + " and the parameters are [-2.658046 3.63053405] -4.71112074932479 ;\n", + "Epoch 450/1000, Cost: 2.0033\n", + " and the parameters are [-2.65802979 3.63053416] -4.711161579939874 ;\n", + "Epoch 450/1000, Cost: 2.9511\n", + " and the parameters are [-2.65797921 3.63053222] -4.711217387775778 ;\n", + "Epoch 450/1000, Cost: 3.3812\n", + " and the parameters are [-2.6579454 3.63059655] -4.711211988297951 ;\n", + "Epoch 450/1000, Cost: 4.2445\n", + " and the parameters are [-2.65795278 3.63071508] -4.711142189168294 ;\n", + "Epoch 450/1000, Cost: 2.4721\n", + " and the parameters are [-2.65794035 3.63073207] -4.7111648851662675 ;\n", + "Epoch 450/1000, Cost: 4.2734\n", + " and the parameters are [-2.65803779 3.63068391] -4.711160850355395 ;\n", + "Epoch 450/1000, Cost: 2.8448\n", + " and the parameters are [-2.65804398 3.63064938] -4.711215575921973 ;\n", + "Epoch 450/1000, Cost: 3.0403\n", + " and the parameters are [-2.65802941 3.63072883] -4.711200249592249 ;\n", + "Epoch 450/1000, Cost: 2.1454\n", + " and the parameters are [-2.65807065 3.63077865] -4.711175948337037 ;\n", + "Epoch 450/1000, Cost: 2.0680\n", + " and the parameters are [-2.6581116 3.63078407] -4.711172388000094 ;\n", + "Epoch 450/1000, Cost: 3.7900\n", + " and the parameters are [-2.6581307 3.63082889] -4.711145533179629 ;\n", + "Epoch 450/1000, Cost: 2.6180\n", + " and the parameters are [-2.65818214 3.63070729] -4.711245732715497 ;\n", + "Epoch 450/1000, Cost: 2.0648\n", + " and the parameters are [-2.65820182 3.6306925 ] -4.7112889870133685 ;\n", + "Epoch 450/1000, Cost: 2.6276\n", + " and the parameters are [-2.65827297 3.63064826] -4.7113122528053815 ;\n", + "Epoch 450/1000, Cost: 4.1060\n", + " and the parameters are [-2.6582563 3.63071714] -4.711306760448898 ;\n", + "Epoch 450/1000, Cost: 1.8391\n", + " and the parameters are [-2.65824729 3.6307396 ] -4.711328748766691 ;\n", + "Epoch 450/1000, Cost: 3.6141\n", + " and the parameters are [-2.65829955 3.63077556] -4.7113036201573975 ;\n", + "Epoch 450/1000, Cost: 3.6065\n", + " and the parameters are [-2.65824892 3.63091915] -4.71125721810777 ;\n", + "Epoch 450/1000, Cost: 4.3531\n", + " and the parameters are [-2.65821997 3.63082825] -4.711368235849213 ;\n", + "Epoch 450/1000, Cost: 3.9087\n", + " and the parameters are [-2.65825711 3.63078045] -4.711408835124999 ;\n", + "Epoch 450/1000, Cost: 1.0971\n", + " and the parameters are [-2.65824406 3.63082464] -4.711415975708963 ;\n", + "Epoch 450/1000, Cost: 3.4263\n", + " and the parameters are [-2.65824278 3.6308189 ] -4.711463065419327 ;\n", + "Epoch 450/1000, Cost: 2.7222\n", + " and the parameters are [-2.65820595 3.63086107] -4.711493157479671 ;\n", + "Epoch 450/1000, Cost: 3.2584\n", + " and the parameters are [-2.6581274 3.63088261] -4.711558314847848 ;\n", + "Epoch 450/1000, Cost: 3.0380\n", + " and the parameters are [-2.65806557 3.63094575] -4.711571960629491 ;\n", + "Epoch 450/1000, Cost: 3.8965\n", + " and the parameters are [-2.65815207 3.63093281] -4.711570628779087 ;\n", + "Epoch 450/1000, Cost: 3.1159\n", + " and the parameters are [-2.65816591 3.63100123] -4.711557420003068 ;\n", + "Epoch 450/1000, Cost: 4.0238\n", + " and the parameters are [-2.65817486 3.63104272] -4.711538625773064 ;\n", + "Epoch 450/1000, Cost: 3.1801\n", + " and the parameters are [-2.65818508 3.6310548 ] -4.7115425910963715 ;\n", + "Epoch 450/1000, Cost: 4.7171\n", + " and the parameters are [-2.65806573 3.63113906] -4.711554025255885 ;\n", + "Epoch 450/1000, Cost: 2.7450\n", + " and the parameters are [-2.65806512 3.63111507] -4.711597687967589 ;\n", + "Epoch 450/1000, Cost: 2.7648\n", + " and the parameters are [-2.65807609 3.63120593] -4.711542100055924 ;\n", + "Epoch 450/1000, Cost: 3.4517\n", + " and the parameters are [-2.65803334 3.63124106] -4.711584814917474 ;\n", + "Epoch 450/1000, Cost: 3.6364\n", + " and the parameters are [-2.65796916 3.6312571 ] -4.711629723018216 ;\n", + "Epoch 450/1000, Cost: 12.2081\n", + " and the parameters are [-2.65794649 3.63110582] -4.711710906015441 ;\n", + "Epoch 450/1000, Cost: 2.6804\n", + " and the parameters are [-2.6579309 3.63112803] -4.711749204354313 ;\n", + "Epoch 450/1000, Cost: 4.3054\n", + " and the parameters are [-2.65788131 3.63115472] -4.711793815986787 ;\n", + "Epoch 450/1000, Cost: 6.3574\n", + " and the parameters are [-2.65783755 3.63128312] -4.711714045018556 ;\n", + "Epoch 450/1000, Cost: 2.1934\n", + " and the parameters are [-2.65784202 3.63130519] -4.711731363696507 ;\n", + "Epoch 450/1000, Cost: 4.5935\n", + " and the parameters are [-2.65792093 3.63125531] -4.711749708908304 ;\n", + "Epoch 450/1000, Cost: 4.3444\n", + " and the parameters are [-2.65799842 3.63122152] -4.71176565460476 ;\n", + "Epoch 450/1000, Cost: 3.3882\n", + " and the parameters are [-2.65794752 3.6312413 ] -4.711796687036748 ;\n", + "Epoch 450/1000, Cost: 1.5157\n", + " and the parameters are [-2.65793332 3.63123502] -4.711834935764548 ;\n", + "Epoch 450/1000, Cost: 3.6063\n", + " and the parameters are [-2.65789859 3.63118881] -4.711917853392973 ;\n", + "Epoch 450/1000, Cost: 5.6925\n", + " and the parameters are [-2.65787193 3.63119987] -4.711957406756573 ;\n", + "Epoch 450/1000, Cost: 3.3238\n", + " and the parameters are [-2.65790562 3.63114177] -4.712032436821356 ;\n", + "Epoch 450/1000, Cost: 3.6131\n", + " and the parameters are [-2.65791246 3.63114157] -4.712053183244909 ;\n", + "Epoch 450/1000, Cost: 6.2911\n", + " and the parameters are [-2.65791447 3.63121471] -4.711983014654644 ;\n", + "Epoch 450/1000, Cost: 6.4715\n", + " and the parameters are [-2.65793456 3.63124837] -4.711938061177049 ;\n", + "Epoch 450/1000, Cost: 5.6641\n", + " and the parameters are [-2.65783867 3.6314792 ] -4.711864818936249 ;\n", + "Epoch 450/1000, Cost: 4.1558\n", + " and the parameters are [-2.65776961 3.63143904] -4.711970812073944 ;\n", + "Epoch 450/1000, Cost: 3.8951\n", + " and the parameters are [-2.65771245 3.63148705] -4.711994772833539 ;\n", + "Epoch 450/1000, Cost: 5.2806\n", + " and the parameters are [-2.65772255 3.63144999] -4.712025339622622 ;\n", + "Epoch 450/1000, Cost: 3.6308\n", + " and the parameters are [-2.65774787 3.63146487] -4.712032434864672 ;\n", + "Epoch 450/1000, Cost: 4.2926\n", + " and the parameters are [-2.65774969 3.63158467] -4.711971558585079 ;\n", + "Epoch 450/1000, Cost: 2.6529\n", + " and the parameters are [-2.65773788 3.63160728] -4.711986848041413 ;\n", + "Epoch 450/1000, Cost: 2.1903\n", + " and the parameters are [-2.65773434 3.63167585] -4.71197234265627 ;\n", + "Epoch 450/1000, Cost: 1.4528\n", + " and the parameters are [-2.65779148 3.63172696] -4.711931347258792 ;\n", + "Epoch 450/1000, Cost: 3.1949\n", + " and the parameters are [-2.65779011 3.63183373] -4.711881774312897 ;\n", + "Epoch 450/1000, Cost: 4.8763\n", + " and the parameters are [-2.65780219 3.63186199] -4.711858361672596 ;\n", + "Epoch 450/1000, Cost: 3.7384\n", + " and the parameters are [-2.65777177 3.63182905] -4.71193187002736 ;\n", + "Epoch 450/1000, Cost: 4.9831\n", + " and the parameters are [-2.65797177 3.63156148] -4.712041434510623 ;\n", + "Epoch 450/1000, Cost: 3.7174\n", + " and the parameters are [-2.65800146 3.63148841] -4.712122256242045 ;\n", + "Epoch 450/1000, Cost: 2.8308\n", + " and the parameters are [-2.65798007 3.63153495] -4.712142274785742 ;\n", + "Epoch 450/1000, Cost: 4.4757\n", + " and the parameters are [-2.65804132 3.63169789] -4.712007545348736 ;\n", + "Epoch 450/1000, Cost: 2.7328\n", + " and the parameters are [-2.65802514 3.63173401] -4.7120215459420125 ;\n", + "Epoch 450/1000, Cost: 2.9847\n", + " and the parameters are [-2.65810383 3.63166913] -4.7120572030168075 ;\n", + "Epoch 450/1000, Cost: 7.5662\n", + " and the parameters are [-2.65810101 3.63172917] -4.712004314995447 ;\n", + "Epoch 450/1000, Cost: 4.0542\n", + " and the parameters are [-2.65806075 3.63179947] -4.71200624423802 ;\n", + "Epoch 460/1000, Cost: 3.9961\n", + " and the parameters are [-2.67367595 3.65109185] -4.7397050895920065 ;\n", + "Epoch 460/1000, Cost: 5.0264\n", + " and the parameters are [-2.67364321 3.65104304] -4.739786970557489 ;\n", + "Epoch 460/1000, Cost: 1.1449\n", + " and the parameters are [-2.67367306 3.65102411] -4.739812104251111 ;\n", + "Epoch 460/1000, Cost: 2.1933\n", + " and the parameters are [-2.67369252 3.65104127] -4.739837084829923 ;\n", + "Epoch 460/1000, Cost: 4.0152\n", + " and the parameters are [-2.67368765 3.65108825] -4.7398312167643075 ;\n", + "Epoch 460/1000, Cost: 3.2953\n", + " and the parameters are [-2.67367467 3.65108456] -4.739886114000287 ;\n", + "Epoch 460/1000, Cost: 6.2619\n", + " and the parameters are [-2.67379336 3.65077713] -4.740054547793268 ;\n", + "Epoch 460/1000, Cost: 3.4149\n", + " and the parameters are [-2.67379427 3.65082047] -4.740041172232188 ;\n", + "Epoch 460/1000, Cost: 4.1838\n", + " and the parameters are [-2.67387141 3.65078729] -4.740047949792472 ;\n", + "Epoch 460/1000, Cost: 6.1187\n", + " and the parameters are [-2.67381718 3.65082657] -4.740061362506018 ;\n", + "Epoch 460/1000, Cost: 3.5938\n", + " and the parameters are [-2.67384291 3.6508988 ] -4.740035074683952 ;\n", + "Epoch 460/1000, Cost: 4.7696\n", + " and the parameters are [-2.67391528 3.65083344] -4.740053730408209 ;\n", + "Epoch 460/1000, Cost: 3.3979\n", + " and the parameters are [-2.67392971 3.65080766] -4.740100773052695 ;\n", + "Epoch 460/1000, Cost: 4.4237\n", + " and the parameters are [-2.67390752 3.65075923] -4.740156206502833 ;\n", + "Epoch 460/1000, Cost: 7.2127\n", + " and the parameters are [-2.67398464 3.6506507 ] -4.740215481253788 ;\n", + "Epoch 460/1000, Cost: 4.4356\n", + " and the parameters are [-2.67403372 3.65060366] -4.7402626579364515 ;\n", + "Epoch 460/1000, Cost: 3.5903\n", + " and the parameters are [-2.67403213 3.65052193] -4.740340326413108 ;\n", + "Epoch 460/1000, Cost: 1.7199\n", + " and the parameters are [-2.67401164 3.65051657] -4.74038789469839 ;\n", + "Epoch 460/1000, Cost: 3.5905\n", + " and the parameters are [-2.67406375 3.65040594] -4.740466980180145 ;\n", + "Epoch 460/1000, Cost: 4.4192\n", + " and the parameters are [-2.67406826 3.65042454] -4.740471539067354 ;\n", + "Epoch 460/1000, Cost: 5.0687\n", + " and the parameters are [-2.6740299 3.65048085] -4.740497952303748 ;\n", + "Epoch 460/1000, Cost: 6.6370\n", + " and the parameters are [-2.67406819 3.65032172] -4.740608321923851 ;\n", + "Epoch 460/1000, Cost: 3.5123\n", + " and the parameters are [-2.67399982 3.65048154] -4.740556977383688 ;\n", + "Epoch 460/1000, Cost: 2.0829\n", + " and the parameters are [-2.67398237 3.65057678] -4.740538389380702 ;\n", + "Epoch 460/1000, Cost: 3.1791\n", + " and the parameters are [-2.67399858 3.65058247] -4.7405615784474735 ;\n", + "Epoch 460/1000, Cost: 1.9406\n", + " and the parameters are [-2.67394486 3.6506934 ] -4.740544192300229 ;\n", + "Epoch 460/1000, Cost: 3.4182\n", + " and the parameters are [-2.67399936 3.65066039] -4.740560460697272 ;\n", + "Epoch 460/1000, Cost: 2.0140\n", + " and the parameters are [-2.67404326 3.65067579] -4.740552063169 ;\n", + "Epoch 460/1000, Cost: 5.7006\n", + " and the parameters are [-2.67404904 3.65049662] -4.740703331637557 ;\n", + "Epoch 460/1000, Cost: 2.3359\n", + " and the parameters are [-2.67404457 3.65054086] -4.740707793440469 ;\n", + "Epoch 460/1000, Cost: 2.1051\n", + " and the parameters are [-2.67408367 3.65058633] -4.740682087384054 ;\n", + "Epoch 460/1000, Cost: 3.0433\n", + " and the parameters are [-2.67408621 3.65058812] -4.740717044918744 ;\n", + "Epoch 460/1000, Cost: 3.6721\n", + " and the parameters are [-2.67411393 3.65054629] -4.740755583880866 ;\n", + "Epoch 460/1000, Cost: 1.6137\n", + " and the parameters are [-2.6741121 3.65059766] -4.740744590111679 ;\n", + "Epoch 460/1000, Cost: 3.2467\n", + " and the parameters are [-2.67415842 3.65063514] -4.740718510950323 ;\n", + "Epoch 460/1000, Cost: 1.6523\n", + " and the parameters are [-2.67417438 3.6506824 ] -4.740711291318726 ;\n", + "Epoch 460/1000, Cost: 2.3154\n", + " and the parameters are [-2.67416499 3.65067794] -4.740752166391666 ;\n", + "Epoch 460/1000, Cost: 0.9953\n", + " and the parameters are [-2.67417554 3.65073021] -4.740734105728508 ;\n", + "Epoch 460/1000, Cost: 5.1420\n", + " and the parameters are [-2.67422116 3.65068421] -4.740777384934713 ;\n", + "Epoch 460/1000, Cost: 1.5694\n", + " and the parameters are [-2.67425667 3.65062749] -4.740819635089888 ;\n", + "Epoch 460/1000, Cost: 5.8963\n", + " and the parameters are [-2.67413543 3.65054731] -4.7409513011308775 ;\n", + "Epoch 460/1000, Cost: 4.2799\n", + " and the parameters are [-2.67411465 3.65063852] -4.740904529205827 ;\n", + "Epoch 460/1000, Cost: 6.0913\n", + " and the parameters are [-2.67412659 3.65051382] -4.7410001509255615 ;\n", + "Epoch 460/1000, Cost: 4.0209\n", + " and the parameters are [-2.67415916 3.65046714] -4.741052725872193 ;\n", + "Epoch 460/1000, Cost: 3.9913\n", + " and the parameters are [-2.67420576 3.65038588] -4.741124363474745 ;\n", + "Epoch 460/1000, Cost: 2.9867\n", + " and the parameters are [-2.67409508 3.6503857 ] -4.741215441074045 ;\n", + "Epoch 460/1000, Cost: 7.2627\n", + " and the parameters are [-2.67412202 3.65036363] -4.741212435962389 ;\n", + "Epoch 460/1000, Cost: 1.3687\n", + " and the parameters are [-2.67410634 3.65040614] -4.741219190433814 ;\n", + "Epoch 460/1000, Cost: 3.6354\n", + " and the parameters are [-2.67405524 3.65042035] -4.741272329438621 ;\n", + "Epoch 460/1000, Cost: 5.0855\n", + " and the parameters are [-2.67411569 3.65037193] -4.74130260901826 ;\n", + "Epoch 460/1000, Cost: 2.2334\n", + " and the parameters are [-2.67416512 3.65041555] -4.741261579321551 ;\n", + "Epoch 460/1000, Cost: 1.9029\n", + " and the parameters are [-2.674154 3.6504192] -4.7413084446762745 ;\n", + "Epoch 460/1000, Cost: 2.8868\n", + " and the parameters are [-2.67416637 3.65052582] -4.741255251492824 ;\n", + "Epoch 460/1000, Cost: 4.1188\n", + " and the parameters are [-2.67417188 3.65046472] -4.741338781183083 ;\n", + "Epoch 460/1000, Cost: 4.9948\n", + " and the parameters are [-2.67417893 3.65056487] -4.741268911899863 ;\n", + "Epoch 460/1000, Cost: 5.2362\n", + " and the parameters are [-2.67425056 3.65044826] -4.741332805513663 ;\n", + "Epoch 460/1000, Cost: 2.7431\n", + " and the parameters are [-2.67431912 3.65047434] -4.741314095271659 ;\n", + "Epoch 460/1000, Cost: 1.3858\n", + " and the parameters are [-2.67438103 3.65040557] -4.741356926270365 ;\n", + "Epoch 460/1000, Cost: 2.2687\n", + " and the parameters are [-2.67437582 3.65046617] -4.741348803660087 ;\n", + "Epoch 460/1000, Cost: 1.7418\n", + " and the parameters are [-2.67443834 3.65039511] -4.741400620177657 ;\n", + "Epoch 460/1000, Cost: 3.1048\n", + " and the parameters are [-2.67439325 3.65040894] -4.74145729611869 ;\n", + "Epoch 460/1000, Cost: 2.8301\n", + " and the parameters are [-2.67438441 3.65038879] -4.741506523544744 ;\n", + "Epoch 460/1000, Cost: 4.4082\n", + " and the parameters are [-2.67446396 3.65027083] -4.741581912880104 ;\n", + "Epoch 460/1000, Cost: 1.8937\n", + " and the parameters are [-2.67452894 3.65020993] -4.741622431543369 ;\n", + "Epoch 460/1000, Cost: 4.8298\n", + " and the parameters are [-2.67446388 3.65029774] -4.741594267793626 ;\n", + "Epoch 460/1000, Cost: 6.5239\n", + " and the parameters are [-2.67451766 3.65013104] -4.74171494963847 ;\n", + "Epoch 460/1000, Cost: 2.9155\n", + " and the parameters are [-2.6745352 3.65019103] -4.741682985783907 ;\n", + "Epoch 460/1000, Cost: 3.6172\n", + " and the parameters are [-2.67459701 3.65015417] -4.741707885634699 ;\n", + "Epoch 460/1000, Cost: 3.4412\n", + " and the parameters are [-2.67459155 3.65012597] -4.741757053493975 ;\n", + "Epoch 460/1000, Cost: 4.4787\n", + " and the parameters are [-2.67462891 3.65013722] -4.741749949730897 ;\n", + "Epoch 460/1000, Cost: 2.2465\n", + " and the parameters are [-2.67464489 3.6501819 ] -4.741749298444139 ;\n", + "Epoch 460/1000, Cost: 4.1267\n", + " and the parameters are [-2.6745407 3.65030786] -4.7417523173265375 ;\n", + "Epoch 460/1000, Cost: 6.3062\n", + " and the parameters are [-2.67446345 3.65036993] -4.741742489203728 ;\n", + "Epoch 460/1000, Cost: 2.8853\n", + " and the parameters are [-2.67445082 3.65047553] -4.741708570668774 ;\n", + "Epoch 460/1000, Cost: 5.1234\n", + " and the parameters are [-2.6745279 3.65053038] -4.74163510214205 ;\n", + "Epoch 460/1000, Cost: 2.6436\n", + " and the parameters are [-2.67457041 3.6505118 ] -4.741659428874086 ;\n", + "Epoch 460/1000, Cost: 2.4598\n", + " and the parameters are [-2.67458338 3.650522 ] -4.741680738881582 ;\n", + "Epoch 460/1000, Cost: 4.9907\n", + " and the parameters are [-2.6745087 3.65061429] -4.741668864289271 ;\n", + "Epoch 460/1000, Cost: 4.5789\n", + " and the parameters are [-2.67455506 3.65061991] -4.741651348835486 ;\n", + "Epoch 460/1000, Cost: 3.1207\n", + " and the parameters are [-2.67446802 3.65069544] -4.741679823679565 ;\n", + "Epoch 460/1000, Cost: 4.3396\n", + " and the parameters are [-2.67446285 3.65063555] -4.741759687463007 ;\n", + "Epoch 460/1000, Cost: 4.2322\n", + " and the parameters are [-2.67443226 3.65064081] -4.741794691234122 ;\n", + "Epoch 460/1000, Cost: 3.3444\n", + " and the parameters are [-2.67450096 3.65061274] -4.7418101202568 ;\n", + "Epoch 460/1000, Cost: 2.9756\n", + " and the parameters are [-2.67449325 3.65065702] -4.74181687295845 ;\n", + "Epoch 460/1000, Cost: 4.5979\n", + " and the parameters are [-2.67447219 3.65076292] -4.741760282960846 ;\n", + "Epoch 460/1000, Cost: 2.4095\n", + " and the parameters are [-2.67457459 3.65079787] -4.7417058669372505 ;\n", + "Epoch 460/1000, Cost: 4.7726\n", + " and the parameters are [-2.67467605 3.65063283] -4.741818413745101 ;\n", + "Epoch 460/1000, Cost: 2.2381\n", + " and the parameters are [-2.67467928 3.65060546] -4.741866560991407 ;\n", + "Epoch 460/1000, Cost: 3.5012\n", + " and the parameters are [-2.67468501 3.65071618] -4.7418328040504605 ;\n", + "Epoch 460/1000, Cost: 3.2393\n", + " and the parameters are [-2.67463988 3.65085342] -4.741793324377596 ;\n", + "Epoch 460/1000, Cost: 2.2777\n", + " and the parameters are [-2.67462117 3.65090028] -4.741798469243766 ;\n", + "Epoch 460/1000, Cost: 3.8979\n", + " and the parameters are [-2.67465309 3.65101133] -4.741730620482667 ;\n", + "Epoch 460/1000, Cost: 3.3506\n", + " and the parameters are [-2.67460278 3.65105258] -4.741763706288282 ;\n", + "Epoch 460/1000, Cost: 3.3816\n", + " and the parameters are [-2.67457898 3.65119408] -4.741702064128917 ;\n", + "Epoch 460/1000, Cost: 0.7096\n", + " and the parameters are [-2.67458465 3.65121503] -4.741703492141593 ;\n", + "Epoch 460/1000, Cost: 3.9566\n", + " and the parameters are [-2.67453536 3.65135068] -4.741650464203665 ;\n", + "Epoch 460/1000, Cost: 2.4103\n", + " and the parameters are [-2.6745724 3.65133313] -4.7416711979183175 ;\n", + "Epoch 460/1000, Cost: 8.7987\n", + " and the parameters are [-2.67452229 3.65136158] -4.741658181509281 ;\n", + "Epoch 460/1000, Cost: 1.9190\n", + " and the parameters are [-2.67455314 3.65132274] -4.741700855870665 ;\n", + "Epoch 460/1000, Cost: 1.1599\n", + " and the parameters are [-2.67454844 3.65137043] -4.74169427298123 ;\n", + "Epoch 460/1000, Cost: 1.5160\n", + " and the parameters are [-2.67454722 3.65139477] -4.7417041429684685 ;\n", + "Epoch 460/1000, Cost: 5.1621\n", + " and the parameters are [-2.67453619 3.65144754] -4.74170418590293 ;\n", + "Epoch 460/1000, Cost: 2.6654\n", + " and the parameters are [-2.67455624 3.65149914] -4.741692201790959 ;\n", + "Epoch 460/1000, Cost: 2.9551\n", + " and the parameters are [-2.67456122 3.65140928] -4.741789318847299 ;\n", + "Epoch 460/1000, Cost: 2.1595\n", + " and the parameters are [-2.67452828 3.65140543] -4.741848350050526 ;\n", + "Epoch 460/1000, Cost: 2.7644\n", + " and the parameters are [-2.67453303 3.65137582] -4.741903100581147 ;\n", + "Epoch 460/1000, Cost: 2.5474\n", + " and the parameters are [-2.67451829 3.65139929] -4.741927786875555 ;\n", + "Epoch 460/1000, Cost: 2.0583\n", + " and the parameters are [-2.67456728 3.65139008] -4.7419369735190555 ;\n", + "Epoch 460/1000, Cost: 2.9633\n", + " and the parameters are [-2.6745817 3.65142322] -4.7419334358913945 ;\n", + "Epoch 460/1000, Cost: 1.5485\n", + " and the parameters are [-2.67456003 3.65151992] -4.741906530579803 ;\n", + "Epoch 460/1000, Cost: 1.2898\n", + " and the parameters are [-2.67454039 3.65152872] -4.741943612082989 ;\n", + "Epoch 460/1000, Cost: 1.9266\n", + " and the parameters are [-2.67457046 3.65151929] -4.741965613808979 ;\n", + "Epoch 460/1000, Cost: 7.4212\n", + " and the parameters are [-2.67467016 3.6514549 ] -4.741963781416442 ;\n", + "Epoch 460/1000, Cost: 1.4240\n", + " and the parameters are [-2.67464443 3.65152917] -4.741951739655091 ;\n", + "Epoch 460/1000, Cost: 4.4094\n", + " and the parameters are [-2.6747014 3.65156937] -4.741921137084287 ;\n", + "Epoch 460/1000, Cost: 2.3702\n", + " and the parameters are [-2.67470016 3.65166684] -4.741877282136276 ;\n", + "Epoch 460/1000, Cost: 2.7694\n", + " and the parameters are [-2.67470886 3.65180263] -4.741804204812484 ;\n", + "Epoch 460/1000, Cost: 2.4124\n", + " and the parameters are [-2.6746983 3.65182747] -4.741815172550263 ;\n", + "Epoch 460/1000, Cost: 1.6224\n", + " and the parameters are [-2.67467315 3.65187274] -4.741828957498485 ;\n", + "Epoch 460/1000, Cost: 2.1423\n", + " and the parameters are [-2.67466849 3.65180597] -4.741912718430195 ;\n", + "Epoch 460/1000, Cost: 3.9134\n", + " and the parameters are [-2.67463361 3.65192958] -4.741871900203034 ;\n", + "Epoch 460/1000, Cost: 7.6288\n", + " and the parameters are [-2.67452768 3.65212444] -4.741783529022754 ;\n", + "Epoch 460/1000, Cost: 1.1453\n", + " and the parameters are [-2.67449692 3.65220647] -4.741766358795967 ;\n", + "Epoch 460/1000, Cost: 2.2378\n", + " and the parameters are [-2.67449815 3.65227109] -4.741749558170431 ;\n", + "Epoch 460/1000, Cost: 1.7766\n", + " and the parameters are [-2.67454908 3.65227191] -4.741756182256345 ;\n", + "Epoch 460/1000, Cost: 1.0459\n", + " and the parameters are [-2.67455344 3.65232393] -4.741743904948175 ;\n", + "Epoch 460/1000, Cost: 1.6448\n", + " and the parameters are [-2.67452848 3.65239617] -4.741740886878903 ;\n", + "Epoch 460/1000, Cost: 3.1011\n", + " and the parameters are [-2.6744722 3.65248289] -4.741741419345768 ;\n", + "Epoch 460/1000, Cost: 2.5218\n", + " and the parameters are [-2.67446735 3.65255843] -4.741719503719112 ;\n", + "Epoch 460/1000, Cost: 1.4354\n", + " and the parameters are [-2.67447997 3.65260642] -4.741699034596611 ;\n", + "Epoch 460/1000, Cost: 4.1526\n", + " and the parameters are [-2.67442807 3.6527 ] -4.741696455708795 ;\n", + "Epoch 460/1000, Cost: 5.3866\n", + " and the parameters are [-2.67438503 3.65272489] -4.741712753517373 ;\n", + "Epoch 460/1000, Cost: 4.7231\n", + " and the parameters are [-2.67442041 3.65275325] -4.741691601238603 ;\n", + "Epoch 460/1000, Cost: 5.3807\n", + " and the parameters are [-2.67444077 3.65279681] -4.7416555598460794 ;\n", + "Epoch 460/1000, Cost: 2.9627\n", + " and the parameters are [-2.67448233 3.65278121] -4.741670648612717 ;\n", + "Epoch 460/1000, Cost: 2.0199\n", + " and the parameters are [-2.67441797 3.65288782] -4.74166041470498 ;\n", + "Epoch 460/1000, Cost: 2.6087\n", + " and the parameters are [-2.67441079 3.65287173] -4.741716166968108 ;\n", + "Epoch 460/1000, Cost: 2.3998\n", + " and the parameters are [-2.67442355 3.65286595] -4.74175332149246 ;\n", + "Epoch 460/1000, Cost: 4.6934\n", + " and the parameters are [-2.67444678 3.65287147] -4.741767264257627 ;\n", + "Epoch 460/1000, Cost: 2.8531\n", + " and the parameters are [-2.67446969 3.65282227] -4.741825828327336 ;\n", + "Epoch 460/1000, Cost: 4.5487\n", + " and the parameters are [-2.67454989 3.65271364] -4.741880790765482 ;\n", + "Epoch 460/1000, Cost: 2.2316\n", + " and the parameters are [-2.6745034 3.65274251] -4.741916978524287 ;\n", + "Epoch 460/1000, Cost: 4.6816\n", + " and the parameters are [-2.67456789 3.65259732] -4.742014018494265 ;\n", + "Epoch 460/1000, Cost: 4.5009\n", + " and the parameters are [-2.67452002 3.65254462] -4.742083085139797 ;\n", + "Epoch 460/1000, Cost: 4.1365\n", + " and the parameters are [-2.67449869 3.6524565 ] -4.742175402641178 ;\n", + "Epoch 460/1000, Cost: 3.4759\n", + " and the parameters are [-2.67452715 3.65249959] -4.742159879609383 ;\n", + "Epoch 460/1000, Cost: 1.8978\n", + " and the parameters are [-2.67450887 3.65260738] -4.742119834302707 ;\n", + "Epoch 460/1000, Cost: 3.8955\n", + " and the parameters are [-2.67453503 3.652496 ] -4.7421919925584985 ;\n", + "Epoch 460/1000, Cost: 3.0342\n", + " and the parameters are [-2.67458385 3.65255178] -4.742154669033733 ;\n", + "Epoch 460/1000, Cost: 1.8399\n", + " and the parameters are [-2.67456541 3.65261958] -4.7421566467522664 ;\n", + "Epoch 460/1000, Cost: 4.4297\n", + " and the parameters are [-2.67453982 3.6526485 ] -4.742184048345499 ;\n", + "Epoch 460/1000, Cost: 4.3107\n", + " and the parameters are [-2.67466028 3.65258722] -4.742180841667954 ;\n", + "Epoch 460/1000, Cost: 3.7681\n", + " and the parameters are [-2.67469256 3.65245338] -4.742293366204185 ;\n", + "Epoch 460/1000, Cost: 3.3265\n", + " and the parameters are [-2.67476012 3.65231647] -4.7423879896487176 ;\n", + "Epoch 460/1000, Cost: 1.9722\n", + " and the parameters are [-2.67475406 3.65235955] -4.742384752081619 ;\n", + "Epoch 460/1000, Cost: 2.8778\n", + " and the parameters are [-2.67478881 3.65237908] -4.742368946290422 ;\n", + "Epoch 460/1000, Cost: 2.7662\n", + " and the parameters are [-2.67483627 3.65234802] -4.7423928059157925 ;\n", + "Epoch 460/1000, Cost: 3.9867\n", + " and the parameters are [-2.67483375 3.65233019] -4.742433470801452 ;\n", + "Epoch 460/1000, Cost: 2.9414\n", + " and the parameters are [-2.67486607 3.65232838] -4.742458263550066 ;\n", + "Epoch 460/1000, Cost: 4.8285\n", + " and the parameters are [-2.67488213 3.65232854] -4.742473369140717 ;\n", + "Epoch 460/1000, Cost: 5.6664\n", + " and the parameters are [-2.6749644 3.65243949] -4.7423772852247295 ;\n", + "Epoch 460/1000, Cost: 6.3512\n", + " and the parameters are [-2.67492547 3.65249604] -4.742362776364262 ;\n", + "Epoch 460/1000, Cost: 2.7329\n", + " and the parameters are [-2.67495648 3.65250311] -4.742388073507082 ;\n", + "Epoch 460/1000, Cost: 2.5817\n", + " and the parameters are [-2.67498218 3.65252469] -4.742398144607422 ;\n", + "Epoch 460/1000, Cost: 3.0073\n", + " and the parameters are [-2.67498207 3.65258727] -4.7423781124274615 ;\n", + "Epoch 460/1000, Cost: 1.8039\n", + " and the parameters are [-2.67501589 3.65260257] -4.742388353278994 ;\n", + "Epoch 460/1000, Cost: 2.1934\n", + " and the parameters are [-2.67500694 3.6526912 ] -4.742361753871392 ;\n", + "Epoch 460/1000, Cost: 1.8580\n", + " and the parameters are [-2.67500519 3.65270843] -4.742384994537747 ;\n", + "Epoch 460/1000, Cost: 2.0429\n", + " and the parameters are [-2.67500921 3.6527305 ] -4.742399831678382 ;\n", + "Epoch 460/1000, Cost: 4.0237\n", + " and the parameters are [-2.67507716 3.65259608] -4.742503750091502 ;\n", + "Epoch 460/1000, Cost: 2.7706\n", + " and the parameters are [-2.67509516 3.6525881 ] -4.742541856296874 ;\n", + "Epoch 460/1000, Cost: 4.1171\n", + " and the parameters are [-2.67515043 3.65260808] -4.742505273184743 ;\n", + "Epoch 460/1000, Cost: 8.1778\n", + " and the parameters are [-2.67525571 3.65255935] -4.742470667636607 ;\n", + "Epoch 460/1000, Cost: 4.5085\n", + " and the parameters are [-2.6752123 3.65269643] -4.742413373650929 ;\n", + "Epoch 460/1000, Cost: 2.9224\n", + " and the parameters are [-2.67520963 3.65275863] -4.742404276738842 ;\n", + "Epoch 460/1000, Cost: 2.3979\n", + " and the parameters are [-2.67521839 3.65272987] -4.742452695241092 ;\n", + "Epoch 460/1000, Cost: 2.5185\n", + " and the parameters are [-2.67520213 3.65275795] -4.742471414429681 ;\n", + "Epoch 460/1000, Cost: 1.8448\n", + " and the parameters are [-2.67521 3.65276594] -4.7425013189358145 ;\n", + "Epoch 460/1000, Cost: 3.7566\n", + " and the parameters are [-2.67525964 3.65278594] -4.742494634569706 ;\n", + "Epoch 460/1000, Cost: 1.5810\n", + " and the parameters are [-2.6752899 3.65276609] -4.742530096810264 ;\n", + "Epoch 460/1000, Cost: 1.2865\n", + " and the parameters are [-2.67528099 3.65286896] -4.7424866655379665 ;\n", + "Epoch 460/1000, Cost: 4.2907\n", + " and the parameters are [-2.67527383 3.65290349] -4.742487071635048 ;\n", + "Epoch 460/1000, Cost: 2.5254\n", + " and the parameters are [-2.67525481 3.6529423 ] -4.742496131296718 ;\n", + "Epoch 460/1000, Cost: 2.9266\n", + " and the parameters are [-2.67524086 3.65297749] -4.742525318990241 ;\n", + "Epoch 460/1000, Cost: 2.2505\n", + " and the parameters are [-2.67522979 3.65296671] -4.7425692805415585 ;\n", + "Epoch 460/1000, Cost: 3.6276\n", + " and the parameters are [-2.67521317 3.65292642] -4.7426214837016465 ;\n", + "Epoch 460/1000, Cost: 2.0869\n", + " and the parameters are [-2.67521777 3.65291165] -4.742668220848745 ;\n", + "Epoch 460/1000, Cost: 5.8339\n", + " and the parameters are [-2.67534199 3.65271007] -4.742765722824479 ;\n", + "Epoch 460/1000, Cost: 3.8235\n", + " and the parameters are [-2.67539951 3.65277193] -4.742710669731858 ;\n", + "Epoch 460/1000, Cost: 4.6410\n", + " and the parameters are [-2.67543678 3.65273711] -4.742771952457206 ;\n", + "Epoch 460/1000, Cost: 4.5023\n", + " and the parameters are [-2.6755232 3.65259721] -4.742846479240047 ;\n", + "Epoch 460/1000, Cost: 1.0221\n", + " and the parameters are [-2.6755313 3.65264525] -4.742833618665752 ;\n", + "Epoch 460/1000, Cost: 0.9812\n", + " and the parameters are [-2.67550823 3.65269466] -4.7428357398542715 ;\n", + "Epoch 460/1000, Cost: 2.8800\n", + " and the parameters are [-2.67544933 3.65275159] -4.7428556134849815 ;\n", + "Epoch 460/1000, Cost: 3.8514\n", + " and the parameters are [-2.67539585 3.65289364] -4.7428102652665105 ;\n", + "Epoch 460/1000, Cost: 3.0341\n", + " and the parameters are [-2.67544091 3.6528788 ] -4.742839510061375 ;\n", + "Epoch 460/1000, Cost: 2.4715\n", + " and the parameters are [-2.67547072 3.65296305] -4.742795792678915 ;\n", + "Epoch 460/1000, Cost: 5.5367\n", + " and the parameters are [-2.67543228 3.65307018] -4.74275238958366 ;\n", + "Epoch 460/1000, Cost: 2.6174\n", + " and the parameters are [-2.67545415 3.6530132 ] -4.742820155522264 ;\n", + "Epoch 460/1000, Cost: 4.2274\n", + " and the parameters are [-2.67534168 3.65320089] -4.74276888352429 ;\n", + "Epoch 470/1000, Cost: 1.9837\n", + " and the parameters are [-2.69059734 3.67216675] -4.769905582263561 ;\n", + "Epoch 470/1000, Cost: 3.2779\n", + " and the parameters are [-2.69066069 3.67219495] -4.769895929951553 ;\n", + "Epoch 470/1000, Cost: 3.7500\n", + " and the parameters are [-2.69063636 3.67230529] -4.769842392821299 ;\n", + "Epoch 470/1000, Cost: 3.1807\n", + " and the parameters are [-2.69071391 3.67234076] -4.769812441068314 ;\n", + "Epoch 470/1000, Cost: 4.4580\n", + " and the parameters are [-2.69062688 3.67237913] -4.769841624828739 ;\n", + "Epoch 470/1000, Cost: 4.1817\n", + " and the parameters are [-2.69060904 3.67241545] -4.769862237497534 ;\n", + "Epoch 470/1000, Cost: 3.2576\n", + " and the parameters are [-2.69058519 3.67250238] -4.7698440719927655 ;\n", + "Epoch 470/1000, Cost: 2.1623\n", + " and the parameters are [-2.69057785 3.67250227] -4.76988110877211 ;\n", + "Epoch 470/1000, Cost: 3.7839\n", + " and the parameters are [-2.6905691 3.67241403] -4.769971740604037 ;\n", + "Epoch 470/1000, Cost: 2.8562\n", + " and the parameters are [-2.69062138 3.6724335 ] -4.769962372522619 ;\n", + "Epoch 470/1000, Cost: 2.7145\n", + " and the parameters are [-2.69066241 3.67250854] -4.769915959344688 ;\n", + "Epoch 470/1000, Cost: 4.6927\n", + " and the parameters are [-2.6907805 3.6723438] -4.770003661863191 ;\n", + "Epoch 470/1000, Cost: 3.4024\n", + " and the parameters are [-2.69082592 3.67234456] -4.770003782750907 ;\n", + "Epoch 470/1000, Cost: 1.9184\n", + " and the parameters are [-2.69081642 3.67233855] -4.770042377135156 ;\n", + "Epoch 470/1000, Cost: 5.2161\n", + " and the parameters are [-2.69086088 3.67226972] -4.770084620043858 ;\n", + "Epoch 470/1000, Cost: 2.9363\n", + " and the parameters are [-2.69091928 3.67233543] -4.7700444303160525 ;\n", + "Epoch 470/1000, Cost: 2.4626\n", + " and the parameters are [-2.69085381 3.6724691 ] -4.770009213725565 ;\n", + "Epoch 470/1000, Cost: 3.0638\n", + " and the parameters are [-2.69084304 3.67255836] -4.769984317431512 ;\n", + "Epoch 470/1000, Cost: 7.5427\n", + " and the parameters are [-2.69092136 3.67230777] -4.770136157561115 ;\n", + "Epoch 470/1000, Cost: 3.8492\n", + " and the parameters are [-2.69086183 3.67230878] -4.770192249933503 ;\n", + "Epoch 470/1000, Cost: 1.8210\n", + " and the parameters are [-2.69079797 3.67244001] -4.770145405242187 ;\n", + "Epoch 470/1000, Cost: 1.8165\n", + " and the parameters are [-2.69080216 3.67249186] -4.770138922760913 ;\n", + "Epoch 470/1000, Cost: 2.6350\n", + " and the parameters are [-2.6908548 3.67238728] -4.770223448944467 ;\n", + "Epoch 470/1000, Cost: 4.6499\n", + " and the parameters are [-2.69089403 3.67243607] -4.770171214402514 ;\n", + "Epoch 470/1000, Cost: 1.9449\n", + " and the parameters are [-2.69089321 3.67249018] -4.770170910045635 ;\n", + "Epoch 470/1000, Cost: 2.5363\n", + " and the parameters are [-2.69084381 3.67261598] -4.770133762197228 ;\n", + "Epoch 470/1000, Cost: 3.8697\n", + " and the parameters are [-2.69083117 3.67262258] -4.770158355547779 ;\n", + "Epoch 470/1000, Cost: 1.9479\n", + " and the parameters are [-2.69081506 3.67267798] -4.770152666209545 ;\n", + "Epoch 470/1000, Cost: 2.9634\n", + " and the parameters are [-2.69073543 3.67265024] -4.770237827957011 ;\n", + "Epoch 470/1000, Cost: 4.5305\n", + " and the parameters are [-2.69085084 3.67251921] -4.770290353314174 ;\n", + "Epoch 470/1000, Cost: 2.1852\n", + " and the parameters are [-2.69083315 3.67261396] -4.770256168350039 ;\n", + "Epoch 470/1000, Cost: 5.1012\n", + " and the parameters are [-2.69087247 3.67247486] -4.770345466029128 ;\n", + "Epoch 470/1000, Cost: 1.6962\n", + " and the parameters are [-2.69086879 3.67253477] -4.7703286459490295 ;\n", + "Epoch 470/1000, Cost: 2.0601\n", + " and the parameters are [-2.69091911 3.67246816] -4.770385622290908 ;\n", + "Epoch 470/1000, Cost: 3.7441\n", + " and the parameters are [-2.69093943 3.6724481 ] -4.770427654598378 ;\n", + "Epoch 470/1000, Cost: 2.0442\n", + " and the parameters are [-2.69092486 3.67242433] -4.7704860226754375 ;\n", + "Epoch 470/1000, Cost: 8.2613\n", + " and the parameters are [-2.69088853 3.67252828] -4.770419726012544 ;\n", + "Epoch 470/1000, Cost: 2.1496\n", + " and the parameters are [-2.69088923 3.67257617] -4.770417602454093 ;\n", + "Epoch 470/1000, Cost: 3.4844\n", + " and the parameters are [-2.69087262 3.67255368] -4.770483230760819 ;\n", + "Epoch 470/1000, Cost: 2.3220\n", + " and the parameters are [-2.69088045 3.67256061] -4.770515244146869 ;\n", + "Epoch 470/1000, Cost: 6.4981\n", + " and the parameters are [-2.69091285 3.67268239] -4.770420063155834 ;\n", + "Epoch 470/1000, Cost: 6.8073\n", + " and the parameters are [-2.69084514 3.67270217] -4.770444461380041 ;\n", + "Epoch 470/1000, Cost: 1.3254\n", + " and the parameters are [-2.69084478 3.67272378] -4.7704595056145065 ;\n", + "Epoch 470/1000, Cost: 1.6938\n", + " and the parameters are [-2.69085258 3.67270368] -4.770498258816445 ;\n", + "Epoch 470/1000, Cost: 2.9770\n", + " and the parameters are [-2.69084913 3.67284582] -4.770431699342721 ;\n", + "Epoch 470/1000, Cost: 2.4244\n", + " and the parameters are [-2.69087004 3.67281496] -4.770475589161442 ;\n", + "Epoch 470/1000, Cost: 3.0567\n", + " and the parameters are [-2.69081508 3.67290273] -4.77047197809578 ;\n", + "Epoch 470/1000, Cost: 4.2050\n", + " and the parameters are [-2.69073507 3.67301093] -4.7704692279127885 ;\n", + "Epoch 470/1000, Cost: 3.1635\n", + " and the parameters are [-2.69078574 3.67295049] -4.770516031449628 ;\n", + "Epoch 470/1000, Cost: 4.0463\n", + " and the parameters are [-2.69083646 3.67307532] -4.770429348824122 ;\n", + "Epoch 470/1000, Cost: 6.9098\n", + " and the parameters are [-2.69083201 3.67317242] -4.770345178488912 ;\n", + "Epoch 470/1000, Cost: 2.4690\n", + " and the parameters are [-2.69077497 3.67329955] -4.7703121628097245 ;\n", + "Epoch 470/1000, Cost: 1.5670\n", + " and the parameters are [-2.69076919 3.67337018] -4.7703011721709325 ;\n", + "Epoch 470/1000, Cost: 3.9404\n", + " and the parameters are [-2.69082283 3.6733564 ] -4.770302175025166 ;\n", + "Epoch 470/1000, Cost: 4.9947\n", + " and the parameters are [-2.69086381 3.67349482] -4.770191652238152 ;\n", + "Epoch 470/1000, Cost: 4.9999\n", + " and the parameters are [-2.69089966 3.67348301] -4.770220072039949 ;\n", + "Epoch 470/1000, Cost: 6.2389\n", + " and the parameters are [-2.6909519 3.67332951] -4.770327998549034 ;\n", + "Epoch 470/1000, Cost: 1.6666\n", + " and the parameters are [-2.69095129 3.6733621 ] -4.770340307669168 ;\n", + "Epoch 470/1000, Cost: 5.7102\n", + " and the parameters are [-2.69099011 3.67332362] -4.7703354761784915 ;\n", + "Epoch 470/1000, Cost: 3.3864\n", + " and the parameters are [-2.69096052 3.67333608] -4.770374410278005 ;\n", + "Epoch 470/1000, Cost: 3.4872\n", + " and the parameters are [-2.69095906 3.67327225] -4.7704542645879195 ;\n", + "Epoch 470/1000, Cost: 2.6522\n", + " and the parameters are [-2.69099206 3.6732469 ] -4.770478232328484 ;\n", + "Epoch 470/1000, Cost: 3.4631\n", + " and the parameters are [-2.69096696 3.67330402] -4.770476198772778 ;\n", + "Epoch 470/1000, Cost: 1.8945\n", + " and the parameters are [-2.69100411 3.673321 ] -4.770479626958183 ;\n", + "Epoch 470/1000, Cost: 3.3864\n", + " and the parameters are [-2.69102642 3.67323707] -4.7705627423562955 ;\n", + "Epoch 470/1000, Cost: 5.0977\n", + " and the parameters are [-2.69101135 3.67328421] -4.770553728146053 ;\n", + "Epoch 470/1000, Cost: 4.0086\n", + " and the parameters are [-2.69101192 3.67328031] -4.770586643330873 ;\n", + "Epoch 470/1000, Cost: 3.2619\n", + " and the parameters are [-2.69100336 3.67320856] -4.7706777939751355 ;\n", + "Epoch 470/1000, Cost: 6.3161\n", + " and the parameters are [-2.69095563 3.67316866] -4.770715873935424 ;\n", + "Epoch 470/1000, Cost: 1.8837\n", + " and the parameters are [-2.69099811 3.6731512 ] -4.770740189761111 ;\n", + "Epoch 470/1000, Cost: 3.3691\n", + " and the parameters are [-2.69098011 3.67318412] -4.770763510418707 ;\n", + "Epoch 470/1000, Cost: 3.2428\n", + " and the parameters are [-2.69100455 3.67315174] -4.77080022795066 ;\n", + "Epoch 470/1000, Cost: 4.6399\n", + " and the parameters are [-2.69101578 3.67320541] -4.770787971263737 ;\n", + "Epoch 470/1000, Cost: 3.3035\n", + " and the parameters are [-2.69099194 3.67329142] -4.770778194083705 ;\n", + "Epoch 470/1000, Cost: 4.6400\n", + " and the parameters are [-2.69096625 3.67336351] -4.770739201990883 ;\n", + "Epoch 470/1000, Cost: 4.9425\n", + " and the parameters are [-2.6909183 3.67338408] -4.770790181028783 ;\n", + "Epoch 470/1000, Cost: 1.2516\n", + " and the parameters are [-2.6909137 3.67340924] -4.7708058268778935 ;\n", + "Epoch 470/1000, Cost: 3.0758\n", + " and the parameters are [-2.69096891 3.67339167] -4.770822575479308 ;\n", + "Epoch 470/1000, Cost: 5.6787\n", + " and the parameters are [-2.69102573 3.67320066] -4.7709689553665084 ;\n", + "Epoch 470/1000, Cost: 3.1308\n", + " and the parameters are [-2.69103225 3.6732295 ] -4.770982914012422 ;\n", + "Epoch 470/1000, Cost: 4.5654\n", + " and the parameters are [-2.69098569 3.67324208] -4.771014225256413 ;\n", + "Epoch 470/1000, Cost: 1.3997\n", + " and the parameters are [-2.69096588 3.67325612] -4.771044362438068 ;\n", + "Epoch 470/1000, Cost: 6.7481\n", + " and the parameters are [-2.69096327 3.67308313] -4.771193416666038 ;\n", + "Epoch 470/1000, Cost: 5.2222\n", + " and the parameters are [-2.69109383 3.67295225] -4.77123821079074 ;\n", + "Epoch 470/1000, Cost: 2.0810\n", + " and the parameters are [-2.69110344 3.67298591] -4.771244887614478 ;\n", + "Epoch 470/1000, Cost: 2.7425\n", + " and the parameters are [-2.69115297 3.6729549 ] -4.771265511958006 ;\n", + "Epoch 470/1000, Cost: 2.0462\n", + " and the parameters are [-2.69117281 3.67298231] -4.771266513525552 ;\n", + "Epoch 470/1000, Cost: 1.2359\n", + " and the parameters are [-2.69115916 3.67301246] -4.771282266958167 ;\n", + "Epoch 470/1000, Cost: 3.7061\n", + " and the parameters are [-2.69112782 3.67316072] -4.771213901516043 ;\n", + "Epoch 470/1000, Cost: 0.9898\n", + " and the parameters are [-2.69112781 3.67321507] -4.77119918416191 ;\n", + "Epoch 470/1000, Cost: 3.5475\n", + " and the parameters are [-2.69124759 3.67310622] -4.771258941142466 ;\n", + "Epoch 470/1000, Cost: 2.9501\n", + " and the parameters are [-2.69119992 3.67323173] -4.771236740528912 ;\n", + "Epoch 470/1000, Cost: 5.5243\n", + " and the parameters are [-2.69111119 3.67339556] -4.7711891192699 ;\n", + "Epoch 470/1000, Cost: 4.5681\n", + " and the parameters are [-2.6910835 3.67328182] -4.771309791650187 ;\n", + "Epoch 470/1000, Cost: 5.0816\n", + " and the parameters are [-2.6911022 3.67334614] -4.771272784012211 ;\n", + "Epoch 470/1000, Cost: 1.7772\n", + " and the parameters are [-2.69106386 3.6733369 ] -4.771328700747661 ;\n", + "Epoch 470/1000, Cost: 1.1323\n", + " and the parameters are [-2.69108241 3.67330643] -4.7713720310469006 ;\n", + "Epoch 470/1000, Cost: 2.2736\n", + " and the parameters are [-2.69109136 3.67328975] -4.771406758527532 ;\n", + "Epoch 470/1000, Cost: 0.8594\n", + " and the parameters are [-2.69109244 3.67333104] -4.771401870016217 ;\n", + "Epoch 470/1000, Cost: 4.9486\n", + " and the parameters are [-2.69100998 3.67327568] -4.771515364293758 ;\n", + "Epoch 470/1000, Cost: 3.8257\n", + " and the parameters are [-2.69097268 3.67337951] -4.771472983007403 ;\n", + "Epoch 470/1000, Cost: 2.0576\n", + " and the parameters are [-2.69096453 3.67337121] -4.771519641834353 ;\n", + "Epoch 470/1000, Cost: 3.9649\n", + " and the parameters are [-2.69096314 3.67331946] -4.771562139347093 ;\n", + "Epoch 470/1000, Cost: 4.9110\n", + " and the parameters are [-2.69106283 3.67322885] -4.771616778669791 ;\n", + "Epoch 470/1000, Cost: 2.2316\n", + " and the parameters are [-2.69102603 3.67330722] -4.771608750619386 ;\n", + "Epoch 470/1000, Cost: 4.6580\n", + " and the parameters are [-2.6910107 3.6732518] -4.771683865171903 ;\n", + "Epoch 470/1000, Cost: 1.5235\n", + " and the parameters are [-2.69105313 3.67326276] -4.7716837651980155 ;\n", + "Epoch 470/1000, Cost: 2.2894\n", + " and the parameters are [-2.69110067 3.6732725 ] -4.7716872330039255 ;\n", + "Epoch 470/1000, Cost: 2.1945\n", + " and the parameters are [-2.69111457 3.67333223] -4.771670877264989 ;\n", + "Epoch 470/1000, Cost: 2.3963\n", + " and the parameters are [-2.69118594 3.67331497] -4.771668709637484 ;\n", + "Epoch 470/1000, Cost: 3.2644\n", + " and the parameters are [-2.6912141 3.67329681] -4.771693915372636 ;\n", + "Epoch 470/1000, Cost: 2.2092\n", + " and the parameters are [-2.69120947 3.67333983] -4.771697491983131 ;\n", + "Epoch 470/1000, Cost: 3.7842\n", + " and the parameters are [-2.69124177 3.67342722] -4.771628828891648 ;\n", + "Epoch 470/1000, Cost: 0.8984\n", + " and the parameters are [-2.69124507 3.67347886] -4.7716107062105095 ;\n", + "Epoch 470/1000, Cost: 2.1711\n", + " and the parameters are [-2.69127479 3.67353965] -4.771589623216274 ;\n", + "Epoch 470/1000, Cost: 1.6972\n", + " and the parameters are [-2.69128753 3.67355267] -4.771608350092777 ;\n", + "Epoch 470/1000, Cost: 2.2774\n", + " and the parameters are [-2.69130438 3.67364194] -4.771573613317475 ;\n", + "Epoch 470/1000, Cost: 1.7022\n", + " and the parameters are [-2.69127078 3.67369627] -4.771580270544686 ;\n", + "Epoch 470/1000, Cost: 1.5017\n", + " and the parameters are [-2.69126755 3.673728 ] -4.771589945492847 ;\n", + "Epoch 470/1000, Cost: 3.2204\n", + " and the parameters are [-2.69132845 3.67381232] -4.771522274680766 ;\n", + "Epoch 470/1000, Cost: 2.2307\n", + " and the parameters are [-2.69131332 3.67386285] -4.771532903319603 ;\n", + "Epoch 470/1000, Cost: 5.4419\n", + " and the parameters are [-2.69146836 3.67387182] -4.7714546224316345 ;\n", + "Epoch 470/1000, Cost: 4.1097\n", + " and the parameters are [-2.69144829 3.6739932 ] -4.771411050646544 ;\n", + "Epoch 470/1000, Cost: 3.0747\n", + " and the parameters are [-2.69138987 3.67408276] -4.771404088483017 ;\n", + "Epoch 470/1000, Cost: 2.5854\n", + " and the parameters are [-2.69138382 3.67419517] -4.7713680749080645 ;\n", + "Epoch 470/1000, Cost: 3.1496\n", + " and the parameters are [-2.69141031 3.67413285] -4.771434094412355 ;\n", + "Epoch 470/1000, Cost: 2.7389\n", + " and the parameters are [-2.69146992 3.67411319] -4.7714559435404755 ;\n", + "Epoch 470/1000, Cost: 3.5468\n", + " and the parameters are [-2.69145647 3.67413043] -4.771489127925202 ;\n", + "Epoch 470/1000, Cost: 6.7460\n", + " and the parameters are [-2.69152392 3.67414456] -4.77145168492023 ;\n", + "Epoch 470/1000, Cost: 2.3716\n", + " and the parameters are [-2.6915225 3.6740965] -4.7715159436545145 ;\n", + "Epoch 470/1000, Cost: 5.3492\n", + " and the parameters are [-2.69165062 3.67405053] -4.771497555612672 ;\n", + "Epoch 470/1000, Cost: 1.6830\n", + " and the parameters are [-2.69168792 3.67407269] -4.771499502245439 ;\n", + "Epoch 470/1000, Cost: 2.9776\n", + " and the parameters are [-2.69166993 3.6740046 ] -4.771604612463345 ;\n", + "Epoch 470/1000, Cost: 2.4747\n", + " and the parameters are [-2.69165429 3.67411231] -4.77157005597407 ;\n", + "Epoch 470/1000, Cost: 0.9586\n", + " and the parameters are [-2.69165126 3.67413853] -4.77157941661634 ;\n", + "Epoch 470/1000, Cost: 2.2217\n", + " and the parameters are [-2.6916423 3.67415457] -4.771600974241271 ;\n", + "Epoch 470/1000, Cost: 2.9003\n", + " and the parameters are [-2.69163248 3.67414943] -4.7716451946327165 ;\n", + "Epoch 470/1000, Cost: 1.8097\n", + " and the parameters are [-2.69162961 3.67416968] -4.771662250193479 ;\n", + "Epoch 470/1000, Cost: 4.4434\n", + " and the parameters are [-2.69162748 3.674283 ] -4.771599026117952 ;\n", + "Epoch 470/1000, Cost: 8.3375\n", + " and the parameters are [-2.69160175 3.67436228] -4.771536899182277 ;\n", + "Epoch 470/1000, Cost: 6.2339\n", + " and the parameters are [-2.69167995 3.67415076] -4.77167471588133 ;\n", + "Epoch 470/1000, Cost: 5.4137\n", + " and the parameters are [-2.69175181 3.67409093] -4.771703612654245 ;\n", + "Epoch 470/1000, Cost: 1.0542\n", + " and the parameters are [-2.69175638 3.67411575] -4.7717126895482025 ;\n", + "Epoch 470/1000, Cost: 3.7600\n", + " and the parameters are [-2.69172182 3.67417823] -4.771707473963434 ;\n", + "Epoch 470/1000, Cost: 1.9426\n", + " and the parameters are [-2.69174598 3.67414453] -4.771756539055185 ;\n", + "Epoch 470/1000, Cost: 2.8163\n", + " and the parameters are [-2.69174966 3.67423769] -4.771722144788814 ;\n", + "Epoch 470/1000, Cost: 4.3781\n", + " and the parameters are [-2.6918016 3.67410406] -4.771825004194577 ;\n", + "Epoch 470/1000, Cost: 3.0874\n", + " and the parameters are [-2.69177605 3.67406987] -4.7718938821557755 ;\n", + "Epoch 470/1000, Cost: 2.4369\n", + " and the parameters are [-2.69177843 3.67412774] -4.771884358689113 ;\n", + "Epoch 470/1000, Cost: 1.9833\n", + " and the parameters are [-2.69175806 3.67414618] -4.771919619504037 ;\n", + "Epoch 470/1000, Cost: 2.2346\n", + " and the parameters are [-2.69172592 3.67427338] -4.771879515769926 ;\n", + "Epoch 470/1000, Cost: 5.0452\n", + " and the parameters are [-2.69173732 3.67416475] -4.771970960178992 ;\n", + "Epoch 470/1000, Cost: 3.9525\n", + " and the parameters are [-2.69178213 3.67404245] -4.772063074150617 ;\n", + "Epoch 470/1000, Cost: 1.7455\n", + " and the parameters are [-2.69172394 3.67408626] -4.772090189681028 ;\n", + "Epoch 470/1000, Cost: 6.2867\n", + " and the parameters are [-2.69165803 3.67419361] -4.7720280882187796 ;\n", + "Epoch 470/1000, Cost: 2.1878\n", + " and the parameters are [-2.69158611 3.67423742] -4.772062058556259 ;\n", + "Epoch 470/1000, Cost: 4.0169\n", + " and the parameters are [-2.69162908 3.67432229] -4.771993862451777 ;\n", + "Epoch 470/1000, Cost: 3.6895\n", + " and the parameters are [-2.69168796 3.67423824] -4.7720633731405835 ;\n", + "Epoch 470/1000, Cost: 4.1030\n", + " and the parameters are [-2.69167354 3.67430296] -4.772068629383892 ;\n", + "Epoch 470/1000, Cost: 2.8348\n", + " and the parameters are [-2.6917038 3.67436059] -4.772043123358884 ;\n", + "Epoch 470/1000, Cost: 2.8282\n", + " and the parameters are [-2.6917301 3.67426825] -4.772122166450329 ;\n", + "Epoch 470/1000, Cost: 3.7566\n", + " and the parameters are [-2.69176924 3.67418166] -4.772187532257788 ;\n", + "Epoch 470/1000, Cost: 2.5671\n", + " and the parameters are [-2.69183343 3.67420982] -4.772167056854181 ;\n", + "Epoch 470/1000, Cost: 5.0373\n", + " and the parameters are [-2.69185328 3.67432687] -4.772074789880623 ;\n", + "Epoch 470/1000, Cost: 2.9009\n", + " and the parameters are [-2.69185453 3.6743452 ] -4.772100264708753 ;\n", + "Epoch 470/1000, Cost: 2.2154\n", + " and the parameters are [-2.69187949 3.67441101] -4.772074134929311 ;\n", + "Epoch 470/1000, Cost: 2.1009\n", + " and the parameters are [-2.69189542 3.67440012] -4.772104344561997 ;\n", + "Epoch 470/1000, Cost: 2.6320\n", + " and the parameters are [-2.69185037 3.6744757 ] -4.772106764413843 ;\n", + "Epoch 470/1000, Cost: 6.3573\n", + " and the parameters are [-2.69197422 3.67430094] -4.772183750838847 ;\n", + "Epoch 470/1000, Cost: 3.1694\n", + " and the parameters are [-2.6919396 3.67436685] -4.772193287675212 ;\n", + "Epoch 470/1000, Cost: 5.2696\n", + " and the parameters are [-2.6919985 3.67435202] -4.77216813714754 ;\n", + "Epoch 470/1000, Cost: 1.8406\n", + " and the parameters are [-2.69197021 3.67440074] -4.772184237983086 ;\n", + "Epoch 470/1000, Cost: 4.0202\n", + " and the parameters are [-2.69203834 3.67444888] -4.772144249249394 ;\n", + "Epoch 470/1000, Cost: 5.2712\n", + " and the parameters are [-2.69205704 3.67434253] -4.772232238223864 ;\n", + "Epoch 470/1000, Cost: 1.9218\n", + " and the parameters are [-2.69204624 3.67437329] -4.772245504162118 ;\n", + "Epoch 470/1000, Cost: 4.1762\n", + " and the parameters are [-2.69212832 3.67427466] -4.772310606410623 ;\n", + "Epoch 470/1000, Cost: 2.2427\n", + " and the parameters are [-2.69211266 3.67434916] -4.772295981211178 ;\n", + "Epoch 470/1000, Cost: 1.9126\n", + " and the parameters are [-2.69212972 3.67432964] -4.77233335810396 ;\n", + "Epoch 470/1000, Cost: 8.3241\n", + " and the parameters are [-2.69216398 3.6741418 ] -4.772476296659832 ;\n", + "Epoch 470/1000, Cost: 3.9944\n", + " and the parameters are [-2.69228838 3.67406286] -4.772485112783852 ;\n", + "Epoch 470/1000, Cost: 2.8269\n", + " and the parameters are [-2.69226295 3.67407836] -4.772510259469021 ;\n", + "Epoch 470/1000, Cost: 3.0478\n", + " and the parameters are [-2.69233183 3.6740088 ] -4.772557385202543 ;\n", + "Epoch 470/1000, Cost: 2.4310\n", + " and the parameters are [-2.69235409 3.6740106 ] -4.772568519095641 ;\n", + "Epoch 470/1000, Cost: 1.0546\n", + " and the parameters are [-2.69236269 3.67400464] -4.77259558042549 ;\n", + "Epoch 470/1000, Cost: 7.3809\n", + " and the parameters are [-2.69234358 3.67401269] -4.7725921476352235 ;\n", + "Epoch 470/1000, Cost: 2.8425\n", + " and the parameters are [-2.6923349 3.67405498] -4.7725974816410845 ;\n", + "Epoch 470/1000, Cost: 2.3947\n", + " and the parameters are [-2.69231821 3.6740507 ] -4.7726440908000445 ;\n", + "Epoch 470/1000, Cost: 1.7986\n", + " and the parameters are [-2.69226639 3.67417447] -4.772608994240863 ;\n", + "Epoch 470/1000, Cost: 1.6262\n", + " and the parameters are [-2.69225971 3.67423284] -4.772602502026869 ;\n", + "Epoch 470/1000, Cost: 2.5051\n", + " and the parameters are [-2.69225696 3.67424068] -4.772635730531994 ;\n", + "Epoch 470/1000, Cost: 2.0935\n", + " and the parameters are [-2.69224983 3.67429595] -4.772633365078152 ;\n", + "Epoch 470/1000, Cost: 3.5229\n", + " and the parameters are [-2.69223845 3.67433936] -4.77260577891859 ;\n", + "Epoch 470/1000, Cost: 5.2014\n", + " and the parameters are [-2.6922492 3.67422403] -4.772705677156276 ;\n", + "Epoch 470/1000, Cost: 2.7293\n", + " and the parameters are [-2.69221543 3.67421839] -4.772765109236994 ;\n", + "Epoch 470/1000, Cost: 5.0371\n", + " and the parameters are [-2.69214991 3.67430134] -4.772750574008026 ;\n", + "Epoch 470/1000, Cost: 3.8525\n", + " and the parameters are [-2.69214337 3.67441002] -4.772712053298815 ;\n", + "Epoch 470/1000, Cost: 6.6397\n", + " and the parameters are [-2.69226216 3.67414588] -4.772847795871862 ;\n", + "Epoch 470/1000, Cost: 2.0345\n", + " and the parameters are [-2.69224628 3.6742279 ] -4.772833467524795 ;\n", + "Epoch 470/1000, Cost: 3.7452\n", + " and the parameters are [-2.69225454 3.67420137] -4.772880581850535 ;\n", + "Epoch 470/1000, Cost: 2.3247\n", + " and the parameters are [-2.69229263 3.67414332] -4.7729306321919225 ;\n", + "Epoch 480/1000, Cost: 2.9943\n", + " and the parameters are [-2.70725122 3.69268077] -4.79957577710853 ;\n", + "Epoch 480/1000, Cost: 1.5523\n", + " and the parameters are [-2.70725774 3.69268383] -4.799601778202546 ;\n", + "Epoch 480/1000, Cost: 3.4226\n", + " and the parameters are [-2.70725237 3.69266096] -4.799659764673003 ;\n", + "Epoch 480/1000, Cost: 4.1002\n", + " and the parameters are [-2.70725724 3.69266115] -4.799685208558064 ;\n", + "Epoch 480/1000, Cost: 2.3814\n", + " and the parameters are [-2.70729399 3.69268321] -4.7996808708151875 ;\n", + "Epoch 480/1000, Cost: 3.9176\n", + " and the parameters are [-2.70725704 3.69271339] -4.799714733946133 ;\n", + "Epoch 480/1000, Cost: 1.8243\n", + " and the parameters are [-2.70724544 3.69275406] -4.799720187436126 ;\n", + "Epoch 480/1000, Cost: 2.9664\n", + " and the parameters are [-2.70726422 3.69284784] -4.799672825874197 ;\n", + "Epoch 480/1000, Cost: 4.8365\n", + " and the parameters are [-2.70722169 3.69290929] -4.799649011727689 ;\n", + "Epoch 480/1000, Cost: 4.6173\n", + " and the parameters are [-2.70720089 3.69289844] -4.7996957280630355 ;\n", + "Epoch 480/1000, Cost: 2.3500\n", + " and the parameters are [-2.70725019 3.69296989] -4.7996590801478565 ;\n", + "Epoch 480/1000, Cost: 1.6933\n", + " and the parameters are [-2.70731245 3.69295806] -4.79966666704844 ;\n", + "Epoch 480/1000, Cost: 2.9615\n", + " and the parameters are [-2.70732615 3.69285016] -4.799769094182043 ;\n", + "Epoch 480/1000, Cost: 3.9475\n", + " and the parameters are [-2.70730962 3.69289484] -4.799784647641827 ;\n", + "Epoch 480/1000, Cost: 2.2882\n", + " and the parameters are [-2.70731855 3.69285699] -4.799832904318486 ;\n", + "Epoch 480/1000, Cost: 9.3348\n", + " and the parameters are [-2.70731435 3.69284407] -4.799791555923713 ;\n", + "Epoch 480/1000, Cost: 3.1682\n", + " and the parameters are [-2.70725332 3.69304022] -4.799721285586455 ;\n", + "Epoch 480/1000, Cost: 1.6600\n", + " and the parameters are [-2.70724748 3.69312155] -4.799698544607867 ;\n", + "Epoch 480/1000, Cost: 5.6669\n", + " and the parameters are [-2.70725064 3.69310005] -4.799711562413601 ;\n", + "Epoch 480/1000, Cost: 3.4988\n", + " and the parameters are [-2.70719603 3.6931164 ] -4.799760613019975 ;\n", + "Epoch 480/1000, Cost: 7.6997\n", + " and the parameters are [-2.70725184 3.69300506] -4.799805047865253 ;\n", + "Epoch 480/1000, Cost: 1.3561\n", + " and the parameters are [-2.7072581 3.69302003] -4.799818180034121 ;\n", + "Epoch 480/1000, Cost: 5.5488\n", + " and the parameters are [-2.70727109 3.69287923] -4.799962866753054 ;\n", + "Epoch 480/1000, Cost: 4.3503\n", + " and the parameters are [-2.70728266 3.69287445] -4.799986208802728 ;\n", + "Epoch 480/1000, Cost: 5.4700\n", + " and the parameters are [-2.70721635 3.69298832] -4.7999636993008234 ;\n", + "Epoch 480/1000, Cost: 1.2008\n", + " and the parameters are [-2.70719974 3.69301527] -4.799983463608544 ;\n", + "Epoch 480/1000, Cost: 2.2007\n", + " and the parameters are [-2.70723218 3.69303566] -4.799983131511373 ;\n", + "Epoch 480/1000, Cost: 5.3349\n", + " and the parameters are [-2.70729933 3.6929831 ] -4.8000044886028315 ;\n", + "Epoch 480/1000, Cost: 3.5122\n", + " and the parameters are [-2.7072827 3.69297561] -4.800050227965276 ;\n", + "Epoch 480/1000, Cost: 3.1953\n", + " and the parameters are [-2.70723185 3.69305324] -4.800051732940222 ;\n", + "Epoch 480/1000, Cost: 1.8813\n", + " and the parameters are [-2.70723369 3.69315274] -4.800009363118616 ;\n", + "Epoch 480/1000, Cost: 1.8312\n", + " and the parameters are [-2.70719133 3.69318242] -4.800044292292824 ;\n", + "Epoch 480/1000, Cost: 4.3052\n", + " and the parameters are [-2.70722011 3.69308472] -4.800126834991941 ;\n", + "Epoch 480/1000, Cost: 3.2374\n", + " and the parameters are [-2.70712913 3.69315511] -4.800147677466347 ;\n", + "Epoch 480/1000, Cost: 6.0030\n", + " and the parameters are [-2.70714068 3.69324257] -4.800105419090265 ;\n", + "Epoch 480/1000, Cost: 1.9837\n", + " and the parameters are [-2.7071183 3.69333581] -4.800083707449254 ;\n", + "Epoch 480/1000, Cost: 1.2990\n", + " and the parameters are [-2.70706963 3.6933503 ] -4.8001200485823565 ;\n", + "Epoch 480/1000, Cost: 3.6735\n", + " and the parameters are [-2.70712444 3.69319814] -4.800219845270247 ;\n", + "Epoch 480/1000, Cost: 2.6881\n", + " and the parameters are [-2.70705237 3.69327824] -4.800225800271251 ;\n", + "Epoch 480/1000, Cost: 3.5505\n", + " and the parameters are [-2.70706101 3.69320561] -4.800299201512276 ;\n", + "Epoch 480/1000, Cost: 2.9538\n", + " and the parameters are [-2.70705527 3.69317748] -4.800344493727174 ;\n", + "Epoch 480/1000, Cost: 1.8323\n", + " and the parameters are [-2.70707612 3.69321017] -4.800339701098228 ;\n", + "Epoch 480/1000, Cost: 2.4888\n", + " and the parameters are [-2.70708343 3.69323395] -4.800357141199473 ;\n", + "Epoch 480/1000, Cost: 2.8989\n", + " and the parameters are [-2.70701559 3.69339438] -4.800299780553654 ;\n", + "Epoch 480/1000, Cost: 2.9468\n", + " and the parameters are [-2.70704534 3.69347682] -4.800254847376607 ;\n", + "Epoch 480/1000, Cost: 3.3607\n", + " and the parameters are [-2.70702109 3.69344672] -4.800336862349505 ;\n", + "Epoch 480/1000, Cost: 2.8508\n", + " and the parameters are [-2.70705017 3.69347793] -4.800340275406036 ;\n", + "Epoch 480/1000, Cost: 3.4136\n", + " and the parameters are [-2.70701158 3.69351071] -4.800375654355677 ;\n", + "Epoch 480/1000, Cost: 2.3899\n", + " and the parameters are [-2.70705632 3.6934779 ] -4.800416411992619 ;\n", + "Epoch 480/1000, Cost: 6.0699\n", + " and the parameters are [-2.70705103 3.69344375] -4.800476456884949 ;\n", + "Epoch 480/1000, Cost: 3.6394\n", + " and the parameters are [-2.707126 3.69343819] -4.800469225818585 ;\n", + "Epoch 480/1000, Cost: 5.6572\n", + " and the parameters are [-2.70717893 3.6933112 ] -4.800534228496715 ;\n", + "Epoch 480/1000, Cost: 1.8883\n", + " and the parameters are [-2.70717518 3.6933616 ] -4.800538774606542 ;\n", + "Epoch 480/1000, Cost: 3.8023\n", + " and the parameters are [-2.70725111 3.69318651] -4.800656151765578 ;\n", + "Epoch 480/1000, Cost: 3.8010\n", + " and the parameters are [-2.70718304 3.69334697] -4.8005998220076815 ;\n", + "Epoch 480/1000, Cost: 2.9872\n", + " and the parameters are [-2.70723434 3.69343745] -4.800542002809196 ;\n", + "Epoch 480/1000, Cost: 3.1905\n", + " and the parameters are [-2.70716552 3.6935693 ] -4.800502014812729 ;\n", + "Epoch 480/1000, Cost: 2.8774\n", + " and the parameters are [-2.70711228 3.6935848 ] -4.80056938072657 ;\n", + "Epoch 480/1000, Cost: 7.5011\n", + " and the parameters are [-2.70713911 3.69349932] -4.8006462525983 ;\n", + "Epoch 480/1000, Cost: 2.6464\n", + " and the parameters are [-2.70722494 3.69342368] -4.800694220361569 ;\n", + "Epoch 480/1000, Cost: 2.6623\n", + " and the parameters are [-2.70718212 3.69351472] -4.800688636854514 ;\n", + "Epoch 480/1000, Cost: 3.0817\n", + " and the parameters are [-2.70720679 3.69344932] -4.800758047807076 ;\n", + "Epoch 480/1000, Cost: 2.7782\n", + " and the parameters are [-2.70718229 3.69351703] -4.800750149678229 ;\n", + "Epoch 480/1000, Cost: 3.3481\n", + " and the parameters are [-2.70717028 3.69353001] -4.800770249054783 ;\n", + "Epoch 480/1000, Cost: 4.2074\n", + " and the parameters are [-2.70723349 3.69346462] -4.800809969570488 ;\n", + "Epoch 480/1000, Cost: 2.9829\n", + " and the parameters are [-2.70725222 3.6934511 ] -4.800831315389763 ;\n", + "Epoch 480/1000, Cost: 5.0393\n", + " and the parameters are [-2.70719562 3.69345626] -4.800876140848484 ;\n", + "Epoch 480/1000, Cost: 4.6624\n", + " and the parameters are [-2.70722161 3.69338694] -4.800950008242237 ;\n", + "Epoch 480/1000, Cost: 3.2585\n", + " and the parameters are [-2.70723578 3.69340845] -4.800952751188982 ;\n", + "Epoch 480/1000, Cost: 3.5169\n", + " and the parameters are [-2.70728723 3.69341031] -4.800962368479571 ;\n", + "Epoch 480/1000, Cost: 1.6655\n", + " and the parameters are [-2.70731372 3.69338183] -4.801003429139515 ;\n", + "Epoch 480/1000, Cost: 1.2871\n", + " and the parameters are [-2.70730774 3.69346414] -4.800980464895291 ;\n", + "Epoch 480/1000, Cost: 5.0296\n", + " and the parameters are [-2.70739501 3.69334427] -4.801029924958371 ;\n", + "Epoch 480/1000, Cost: 7.4672\n", + " and the parameters are [-2.70742397 3.69323788] -4.801106792778037 ;\n", + "Epoch 480/1000, Cost: 4.2476\n", + " and the parameters are [-2.70746083 3.6933774 ] -4.801018082874003 ;\n", + "Epoch 480/1000, Cost: 2.7058\n", + " and the parameters are [-2.70749874 3.6933706 ] -4.801029479222828 ;\n", + "Epoch 480/1000, Cost: 3.5430\n", + " and the parameters are [-2.70750192 3.69342514] -4.801034388686695 ;\n", + "Epoch 480/1000, Cost: 2.0386\n", + " and the parameters are [-2.70754634 3.69338767] -4.801072425921365 ;\n", + "Epoch 480/1000, Cost: 6.8366\n", + " and the parameters are [-2.70760531 3.69332572] -4.801114900327761 ;\n", + "Epoch 480/1000, Cost: 1.4608\n", + " and the parameters are [-2.70762654 3.6933952 ] -4.801088275573993 ;\n", + "Epoch 480/1000, Cost: 3.2154\n", + " and the parameters are [-2.7076403 3.69340929] -4.80110545704113 ;\n", + "Epoch 480/1000, Cost: 1.9578\n", + " and the parameters are [-2.70763377 3.69348984] -4.801083539751729 ;\n", + "Epoch 480/1000, Cost: 3.6452\n", + " and the parameters are [-2.70768807 3.69361927] -4.800991848845039 ;\n", + "Epoch 480/1000, Cost: 1.7178\n", + " and the parameters are [-2.70770428 3.69358079] -4.8010447270151015 ;\n", + "Epoch 480/1000, Cost: 2.2612\n", + " and the parameters are [-2.70773317 3.69360794] -4.801051885416387 ;\n", + "Epoch 480/1000, Cost: 1.2883\n", + " and the parameters are [-2.70773814 3.69363591] -4.801062538115705 ;\n", + "Epoch 480/1000, Cost: 3.1119\n", + " and the parameters are [-2.70769673 3.69365816] -4.801094192216695 ;\n", + "Epoch 480/1000, Cost: 1.5869\n", + " and the parameters are [-2.70777441 3.69359709] -4.801127976701042 ;\n", + "Epoch 480/1000, Cost: 6.3842\n", + " and the parameters are [-2.70788454 3.69348412] -4.801163481806243 ;\n", + "Epoch 480/1000, Cost: 1.9885\n", + " and the parameters are [-2.70783515 3.69358654] -4.801151818295801 ;\n", + "Epoch 480/1000, Cost: 4.2066\n", + " and the parameters are [-2.70790825 3.69347402] -4.801218798335437 ;\n", + "Epoch 480/1000, Cost: 1.1898\n", + " and the parameters are [-2.70790711 3.69349541] -4.801231582442443 ;\n", + "Epoch 480/1000, Cost: 1.6634\n", + " and the parameters are [-2.70788752 3.69350654] -4.8012675203495165 ;\n", + "Epoch 480/1000, Cost: 4.0906\n", + " and the parameters are [-2.70800118 3.6935263 ] -4.801184350365724 ;\n", + "Epoch 480/1000, Cost: 5.9142\n", + " and the parameters are [-2.70804782 3.69342614] -4.801268778027496 ;\n", + "Epoch 480/1000, Cost: 3.6493\n", + " and the parameters are [-2.70801394 3.6934398 ] -4.8013162128238625 ;\n", + "Epoch 480/1000, Cost: 1.6134\n", + " and the parameters are [-2.70801502 3.6934755 ] -4.801315378862097 ;\n", + "Epoch 480/1000, Cost: 3.5212\n", + " and the parameters are [-2.70803178 3.69352736] -4.801295136681798 ;\n", + "Epoch 480/1000, Cost: 1.8807\n", + " and the parameters are [-2.70807359 3.6935238 ] -4.801313948830451 ;\n", + "Epoch 480/1000, Cost: 1.7125\n", + " and the parameters are [-2.70807528 3.69355736] -4.801318935986465 ;\n", + "Epoch 480/1000, Cost: 3.2942\n", + " and the parameters are [-2.70812791 3.69363866] -4.80124561837778 ;\n", + "Epoch 480/1000, Cost: 4.9736\n", + " and the parameters are [-2.7081895 3.69347437] -4.801336771218239 ;\n", + "Epoch 480/1000, Cost: 2.4096\n", + " and the parameters are [-2.70822152 3.6934679 ] -4.801360989971684 ;\n", + "Epoch 480/1000, Cost: 2.4196\n", + " and the parameters are [-2.70824681 3.69347216] -4.801369788574205 ;\n", + "Epoch 480/1000, Cost: 4.4202\n", + " and the parameters are [-2.70832861 3.69354007] -4.801296655267339 ;\n", + "Epoch 480/1000, Cost: 6.2262\n", + " and the parameters are [-2.7082485 3.69358241] -4.801302833645892 ;\n", + "Epoch 480/1000, Cost: 1.4041\n", + " and the parameters are [-2.70823751 3.69362382] -4.801309815360933 ;\n", + "Epoch 480/1000, Cost: 1.7466\n", + " and the parameters are [-2.7082031 3.69367253] -4.80132655433236 ;\n", + "Epoch 480/1000, Cost: 1.6471\n", + " and the parameters are [-2.70821605 3.69373423] -4.801302433602155 ;\n", + "Epoch 480/1000, Cost: 1.9042\n", + " and the parameters are [-2.70823146 3.69372216] -4.801336982624267 ;\n", + "Epoch 480/1000, Cost: 3.8310\n", + " and the parameters are [-2.70824455 3.69372803] -4.80134689414093 ;\n", + "Epoch 480/1000, Cost: 3.4926\n", + " and the parameters are [-2.70824921 3.69381799] -4.801307611232341 ;\n", + "Epoch 480/1000, Cost: 2.8863\n", + " and the parameters are [-2.70820091 3.69397263] -4.801246199529405 ;\n", + "Epoch 480/1000, Cost: 7.8905\n", + " and the parameters are [-2.70816981 3.69404522] -4.8011899546667225 ;\n", + "Epoch 480/1000, Cost: 3.6476\n", + " and the parameters are [-2.70818052 3.69398421] -4.80124895760642 ;\n", + "Epoch 480/1000, Cost: 3.2713\n", + " and the parameters are [-2.70815746 3.69401292] -4.801283280211944 ;\n", + "Epoch 480/1000, Cost: 2.2693\n", + " and the parameters are [-2.70821183 3.69401692] -4.801280413540618 ;\n", + "Epoch 480/1000, Cost: 4.9384\n", + " and the parameters are [-2.7082477 3.69405601] -4.801247100165253 ;\n", + "Epoch 480/1000, Cost: 3.3454\n", + " and the parameters are [-2.70834235 3.69389868] -4.801343495719835 ;\n", + "Epoch 480/1000, Cost: 1.5260\n", + " and the parameters are [-2.70835108 3.69391489] -4.801353074704536 ;\n", + "Epoch 480/1000, Cost: 4.1324\n", + " and the parameters are [-2.7083847 3.69388782] -4.80136544013698 ;\n", + "Epoch 480/1000, Cost: 1.8822\n", + " and the parameters are [-2.70838902 3.69389435] -4.801390583161133 ;\n", + "Epoch 480/1000, Cost: 4.3679\n", + " and the parameters are [-2.70829424 3.6939471 ] -4.801412052493986 ;\n", + "Epoch 480/1000, Cost: 1.0211\n", + " and the parameters are [-2.70828974 3.69396901] -4.801425119087649 ;\n", + "Epoch 480/1000, Cost: 2.9628\n", + " and the parameters are [-2.70825384 3.69402159] -4.801441523816855 ;\n", + "Epoch 480/1000, Cost: 5.2364\n", + " and the parameters are [-2.7082095 3.69408384] -4.8014451526764175 ;\n", + "Epoch 480/1000, Cost: 3.6744\n", + " and the parameters are [-2.70821481 3.69404192] -4.801471672735894 ;\n", + "Epoch 480/1000, Cost: 5.1695\n", + " and the parameters are [-2.70821726 3.6939295 ] -4.801592915451715 ;\n", + "Epoch 480/1000, Cost: 2.8551\n", + " and the parameters are [-2.70821216 3.69402407] -4.8015453441821 ;\n", + "Epoch 480/1000, Cost: 1.6439\n", + " and the parameters are [-2.7082307 3.69406513] -4.801534860435934 ;\n", + "Epoch 480/1000, Cost: 1.5855\n", + " and the parameters are [-2.70824765 3.69414276] -4.801495571256181 ;\n", + "Epoch 480/1000, Cost: 1.5124\n", + " and the parameters are [-2.70824977 3.6941486 ] -4.801512600832601 ;\n", + "Epoch 480/1000, Cost: 3.4566\n", + " and the parameters are [-2.70825588 3.69415326] -4.80153867342307 ;\n", + "Epoch 480/1000, Cost: 2.6954\n", + " and the parameters are [-2.70817927 3.69430598] -4.801494658391174 ;\n", + "Epoch 480/1000, Cost: 2.4730\n", + " and the parameters are [-2.70814662 3.69435199] -4.8015120944309455 ;\n", + "Epoch 480/1000, Cost: 3.4439\n", + " and the parameters are [-2.70814289 3.69448102] -4.801431051924352 ;\n", + "Epoch 480/1000, Cost: 6.3641\n", + " and the parameters are [-2.70816279 3.6945183 ] -4.801404183730996 ;\n", + "Epoch 480/1000, Cost: 3.7174\n", + " and the parameters are [-2.70815417 3.69454737] -4.80143644306676 ;\n", + "Epoch 480/1000, Cost: 4.8649\n", + " and the parameters are [-2.70809974 3.69452776] -4.8014864801558135 ;\n", + "Epoch 480/1000, Cost: 1.4546\n", + " and the parameters are [-2.70805579 3.69465585] -4.80143793515543 ;\n", + "Epoch 480/1000, Cost: 1.8615\n", + " and the parameters are [-2.70807833 3.69462129] -4.801482074754509 ;\n", + "Epoch 480/1000, Cost: 1.9215\n", + " and the parameters are [-2.70811187 3.69461769] -4.801504306958443 ;\n", + "Epoch 480/1000, Cost: 1.9735\n", + " and the parameters are [-2.7081229 3.69457616] -4.801566511440851 ;\n", + "Epoch 480/1000, Cost: 2.1111\n", + " and the parameters are [-2.70812832 3.69468622] -4.801510518022122 ;\n", + "Epoch 480/1000, Cost: 5.0033\n", + " and the parameters are [-2.70814403 3.69470205] -4.801505555060977 ;\n", + "Epoch 480/1000, Cost: 6.5062\n", + " and the parameters are [-2.70807661 3.69463085] -4.801625179178037 ;\n", + "Epoch 480/1000, Cost: 2.1571\n", + " and the parameters are [-2.70805544 3.69462046] -4.801673245362238 ;\n", + "Epoch 480/1000, Cost: 1.8905\n", + " and the parameters are [-2.70812397 3.69468104] -4.80162938513646 ;\n", + "Epoch 480/1000, Cost: 2.6806\n", + " and the parameters are [-2.70820588 3.69469891] -4.801596719747027 ;\n", + "Epoch 480/1000, Cost: 2.2582\n", + " and the parameters are [-2.70818136 3.69475698] -4.801603774525215 ;\n", + "Epoch 480/1000, Cost: 4.7961\n", + " and the parameters are [-2.70820987 3.69475229] -4.801610258968893 ;\n", + "Epoch 480/1000, Cost: 4.7198\n", + " and the parameters are [-2.70815154 3.69471236] -4.801683641774067 ;\n", + "Epoch 480/1000, Cost: 1.5124\n", + " and the parameters are [-2.7081836 3.69471967] -4.801689644524989 ;\n", + "Epoch 480/1000, Cost: 2.8588\n", + " and the parameters are [-2.70822301 3.69474641] -4.801675057254113 ;\n", + "Epoch 480/1000, Cost: 9.1557\n", + " and the parameters are [-2.70840376 3.69466743] -4.8016114756117325 ;\n", + "Epoch 480/1000, Cost: 3.9222\n", + " and the parameters are [-2.70847049 3.69468387] -4.8015949650166245 ;\n", + "Epoch 480/1000, Cost: 1.0678\n", + " and the parameters are [-2.70846989 3.69472444] -4.8015953088988965 ;\n", + "Epoch 480/1000, Cost: 4.2229\n", + " and the parameters are [-2.70847123 3.69465191] -4.801648726335367 ;\n", + "Epoch 480/1000, Cost: 3.4798\n", + " and the parameters are [-2.70853773 3.69448757] -4.801758127217621 ;\n", + "Epoch 480/1000, Cost: 7.3198\n", + " and the parameters are [-2.70855521 3.69458944] -4.8016788754534545 ;\n", + "Epoch 480/1000, Cost: 1.4581\n", + " and the parameters are [-2.70855431 3.69460218] -4.801703143251257 ;\n", + "Epoch 480/1000, Cost: 2.4033\n", + " and the parameters are [-2.70845213 3.69461341] -4.801778883945953 ;\n", + "Epoch 480/1000, Cost: 1.6681\n", + " and the parameters are [-2.70845297 3.69460455] -4.801821863587228 ;\n", + "Epoch 480/1000, Cost: 4.0670\n", + " and the parameters are [-2.70843917 3.69450104] -4.801920145992098 ;\n", + "Epoch 480/1000, Cost: 2.3134\n", + " and the parameters are [-2.70841531 3.69457835] -4.801907803933604 ;\n", + "Epoch 480/1000, Cost: 5.2018\n", + " and the parameters are [-2.7084273 3.69459065] -4.801905521972993 ;\n", + "Epoch 480/1000, Cost: 1.3094\n", + " and the parameters are [-2.70842935 3.69462809] -4.801907015151108 ;\n", + "Epoch 480/1000, Cost: 4.6025\n", + " and the parameters are [-2.70851996 3.69458986] -4.801911394945203 ;\n", + "Epoch 480/1000, Cost: 1.9646\n", + " and the parameters are [-2.70855047 3.69464276] -4.801886518221762 ;\n", + "Epoch 480/1000, Cost: 7.7183\n", + " and the parameters are [-2.70856764 3.69461717] -4.8018898676982085 ;\n", + "Epoch 480/1000, Cost: 2.5905\n", + " and the parameters are [-2.70858476 3.69456143] -4.8019544450529645 ;\n", + "Epoch 480/1000, Cost: 2.1451\n", + " and the parameters are [-2.70858458 3.6946044 ] -4.801954277908266 ;\n", + "Epoch 480/1000, Cost: 2.4346\n", + " and the parameters are [-2.70857992 3.69465574] -4.801958349173169 ;\n", + "Epoch 480/1000, Cost: 4.6527\n", + " and the parameters are [-2.70855605 3.69458626] -4.802075582103903 ;\n", + "Epoch 480/1000, Cost: 5.0800\n", + " and the parameters are [-2.7085251 3.6945853] -4.802114265077649 ;\n", + "Epoch 480/1000, Cost: 2.3275\n", + " and the parameters are [-2.7085249 3.69453439] -4.802190048000127 ;\n", + "Epoch 480/1000, Cost: 2.5714\n", + " and the parameters are [-2.70852369 3.69455923] -4.80219946729281 ;\n", + "Epoch 480/1000, Cost: 3.8582\n", + " and the parameters are [-2.70861776 3.69442918] -4.802264369028324 ;\n", + "Epoch 480/1000, Cost: 1.6589\n", + " and the parameters are [-2.70859095 3.69453617] -4.802229317405627 ;\n", + "Epoch 480/1000, Cost: 1.7948\n", + " and the parameters are [-2.70857408 3.6945799 ] -4.802240232862568 ;\n", + "Epoch 480/1000, Cost: 2.7058\n", + " and the parameters are [-2.70851666 3.69473094] -4.802192360196426 ;\n", + "Epoch 480/1000, Cost: 8.9676\n", + " and the parameters are [-2.70848538 3.69471669] -4.802206604791352 ;\n", + "Epoch 480/1000, Cost: 0.9255\n", + " and the parameters are [-2.70851048 3.69473207] -4.80220628990019 ;\n", + "Epoch 480/1000, Cost: 4.4286\n", + " and the parameters are [-2.70852316 3.69477412] -4.802198248887509 ;\n", + "Epoch 480/1000, Cost: 6.5131\n", + " and the parameters are [-2.70863414 3.69461183] -4.802266868672819 ;\n", + "Epoch 480/1000, Cost: 4.1620\n", + " and the parameters are [-2.7086732 3.69458334] -4.802294714529573 ;\n", + "Epoch 480/1000, Cost: 3.2545\n", + " and the parameters are [-2.70872405 3.69448716] -4.802375964564911 ;\n", + "Epoch 480/1000, Cost: 3.5219\n", + " and the parameters are [-2.70871212 3.69454771] -4.802375732377811 ;\n", + "Epoch 480/1000, Cost: 2.0149\n", + " and the parameters are [-2.70868513 3.69454924] -4.8024213179237245 ;\n", + "Epoch 480/1000, Cost: 2.7624\n", + " and the parameters are [-2.70865293 3.69461106] -4.802422921818057 ;\n", + "Epoch 480/1000, Cost: 3.7206\n", + " and the parameters are [-2.7087204 3.69469374] -4.802343559975637 ;\n", + "Epoch 480/1000, Cost: 5.0975\n", + " and the parameters are [-2.70872335 3.69476927] -4.802288530217431 ;\n", + "Epoch 480/1000, Cost: 4.0850\n", + " and the parameters are [-2.70886511 3.69451676] -4.802418682029249 ;\n", + "Epoch 480/1000, Cost: 1.5043\n", + " and the parameters are [-2.70886095 3.69458937] -4.8023924442154415 ;\n", + "Epoch 480/1000, Cost: 1.1861\n", + " and the parameters are [-2.70884936 3.69461762] -4.802409951719815 ;\n", + "Epoch 480/1000, Cost: 4.9118\n", + " and the parameters are [-2.70884744 3.69470401] -4.802374242257562 ;\n", + "Epoch 480/1000, Cost: 1.8628\n", + " and the parameters are [-2.70883882 3.69473419] -4.802394587539773 ;\n", + "Epoch 480/1000, Cost: 3.3168\n", + " and the parameters are [-2.70885572 3.69478381] -4.802391135030025 ;\n", + "Epoch 480/1000, Cost: 0.9858\n", + " and the parameters are [-2.70886185 3.69483414] -4.8023802860012115 ;\n", + "Epoch 480/1000, Cost: 3.9308\n", + " and the parameters are [-2.70887418 3.69479353] -4.802439181664474 ;\n", + "Epoch 490/1000, Cost: 2.7982\n", + " and the parameters are [-2.72349572 3.71304046] -4.8285635144492245 ;\n", + "Epoch 490/1000, Cost: 2.8879\n", + " and the parameters are [-2.72346686 3.71318673] -4.828506335890182 ;\n", + "Epoch 490/1000, Cost: 4.4442\n", + " and the parameters are [-2.72356892 3.71304014] -4.828561974286286 ;\n", + "Epoch 490/1000, Cost: 1.5406\n", + " and the parameters are [-2.72357014 3.71308866] -4.828557340885276 ;\n", + "Epoch 490/1000, Cost: 3.0141\n", + " and the parameters are [-2.72352727 3.71305453] -4.828642913967698 ;\n", + "Epoch 490/1000, Cost: 2.6786\n", + " and the parameters are [-2.7236102 3.7130486] -4.828636579788585 ;\n", + "Epoch 490/1000, Cost: 1.6631\n", + " and the parameters are [-2.72360299 3.713146 ] -4.828587823990698 ;\n", + "Epoch 490/1000, Cost: 4.4845\n", + " and the parameters are [-2.72358936 3.71316245] -4.828607489443748 ;\n", + "Epoch 490/1000, Cost: 4.4033\n", + " and the parameters are [-2.72356678 3.71307096] -4.828702036941536 ;\n", + "Epoch 490/1000, Cost: 2.1931\n", + " and the parameters are [-2.72354442 3.71309587] -4.828725160173465 ;\n", + "Epoch 490/1000, Cost: 4.1872\n", + " and the parameters are [-2.72360027 3.71307026] -4.828737101685028 ;\n", + "Epoch 490/1000, Cost: 6.3044\n", + " and the parameters are [-2.72364925 3.71294593] -4.8288352956957175 ;\n", + "Epoch 490/1000, Cost: 4.3934\n", + " and the parameters are [-2.72369205 3.71276461] -4.828959246106157 ;\n", + "Epoch 490/1000, Cost: 1.7418\n", + " and the parameters are [-2.72370545 3.71281721] -4.828943104343622 ;\n", + "Epoch 490/1000, Cost: 3.5487\n", + " and the parameters are [-2.72371109 3.71287308] -4.828920410717118 ;\n", + "Epoch 490/1000, Cost: 3.4393\n", + " and the parameters are [-2.72368857 3.71295473] -4.828890987844695 ;\n", + "Epoch 490/1000, Cost: 1.1577\n", + " and the parameters are [-2.72368901 3.71301234] -4.828878807593842 ;\n", + "Epoch 490/1000, Cost: 1.9237\n", + " and the parameters are [-2.72371231 3.71304171] -4.828885060859829 ;\n", + "Epoch 490/1000, Cost: 3.6984\n", + " and the parameters are [-2.72368322 3.71319639] -4.828816861124781 ;\n", + "Epoch 490/1000, Cost: 3.4807\n", + " and the parameters are [-2.72376036 3.71322673] -4.828792443839192 ;\n", + "Epoch 490/1000, Cost: 2.0776\n", + " and the parameters are [-2.72376284 3.71325611] -4.828812015148582 ;\n", + "Epoch 490/1000, Cost: 4.9404\n", + " and the parameters are [-2.72365871 3.71327247] -4.828865842848928 ;\n", + "Epoch 490/1000, Cost: 1.2303\n", + " and the parameters are [-2.72363851 3.71332533] -4.828872216584941 ;\n", + "Epoch 490/1000, Cost: 0.8877\n", + " and the parameters are [-2.72363667 3.7133457 ] -4.828883634628118 ;\n", + "Epoch 490/1000, Cost: 4.0908\n", + " and the parameters are [-2.72366876 3.71348315] -4.828798133717795 ;\n", + "Epoch 490/1000, Cost: 7.4759\n", + " and the parameters are [-2.72361966 3.71341986] -4.828864968590928 ;\n", + "Epoch 490/1000, Cost: 4.0046\n", + " and the parameters are [-2.72362678 3.71343934] -4.828865201954836 ;\n", + "Epoch 490/1000, Cost: 3.6290\n", + " and the parameters are [-2.72368122 3.7133778 ] -4.828921096043543 ;\n", + "Epoch 490/1000, Cost: 2.6296\n", + " and the parameters are [-2.72361558 3.71345802] -4.82892877808626 ;\n", + "Epoch 490/1000, Cost: 2.3092\n", + " and the parameters are [-2.72358147 3.71356578] -4.828903045027323 ;\n", + "Epoch 490/1000, Cost: 3.6868\n", + " and the parameters are [-2.72356711 3.71368308] -4.82885313544462 ;\n", + "Epoch 490/1000, Cost: 5.7133\n", + " and the parameters are [-2.72361055 3.71367899] -4.828855040380259 ;\n", + "Epoch 490/1000, Cost: 3.5331\n", + " and the parameters are [-2.72357652 3.71379091] -4.8287948199251325 ;\n", + "Epoch 490/1000, Cost: 2.6559\n", + " and the parameters are [-2.72354624 3.71393809] -4.828744588367998 ;\n", + "Epoch 490/1000, Cost: 1.1405\n", + " and the parameters are [-2.72356205 3.71392672] -4.828772533165165 ;\n", + "Epoch 490/1000, Cost: 1.2248\n", + " and the parameters are [-2.72353845 3.71394895] -4.8287934890369195 ;\n", + "Epoch 490/1000, Cost: 1.8615\n", + " and the parameters are [-2.72355304 3.71400813] -4.828772841436049 ;\n", + "Epoch 490/1000, Cost: 2.2923\n", + " and the parameters are [-2.72358199 3.71404526] -4.828761373917967 ;\n", + "Epoch 490/1000, Cost: 2.0653\n", + " and the parameters are [-2.72355838 3.7141372 ] -4.828734928410958 ;\n", + "Epoch 490/1000, Cost: 2.7537\n", + " and the parameters are [-2.72349905 3.71415357] -4.8287975574970785 ;\n", + "Epoch 490/1000, Cost: 5.2736\n", + " and the parameters are [-2.72346 3.71428203] -4.8287206730132315 ;\n", + "Epoch 490/1000, Cost: 2.0879\n", + " and the parameters are [-2.72348348 3.7143013 ] -4.828727010133933 ;\n", + "Epoch 490/1000, Cost: 1.4873\n", + " and the parameters are [-2.72346837 3.71434176] -4.828743041621081 ;\n", + "Epoch 490/1000, Cost: 2.0381\n", + " and the parameters are [-2.72349907 3.71433192] -4.828772507826466 ;\n", + "Epoch 490/1000, Cost: 1.9671\n", + " and the parameters are [-2.72347563 3.71442089] -4.828752104945501 ;\n", + "Epoch 490/1000, Cost: 2.0104\n", + " and the parameters are [-2.72354648 3.71443363] -4.828734892172752 ;\n", + "Epoch 490/1000, Cost: 1.5057\n", + " and the parameters are [-2.72354078 3.71449552] -4.828727146048021 ;\n", + "Epoch 490/1000, Cost: 3.2070\n", + " and the parameters are [-2.72361729 3.71441598] -4.828773184445417 ;\n", + "Epoch 490/1000, Cost: 1.5820\n", + " and the parameters are [-2.72363141 3.71447166] -4.828761827924816 ;\n", + "Epoch 490/1000, Cost: 1.5940\n", + " and the parameters are [-2.723655 3.71445983] -4.828789859912662 ;\n", + "Epoch 490/1000, Cost: 3.3916\n", + " and the parameters are [-2.72367404 3.71443121] -4.828843499404222 ;\n", + "Epoch 490/1000, Cost: 3.9669\n", + " and the parameters are [-2.72364249 3.71444216] -4.828882685743134 ;\n", + "Epoch 490/1000, Cost: 3.8287\n", + " and the parameters are [-2.72363342 3.71440961] -4.828936861432013 ;\n", + "Epoch 490/1000, Cost: 1.4571\n", + " and the parameters are [-2.72365731 3.71441805] -4.828948418297894 ;\n", + "Epoch 490/1000, Cost: 6.1309\n", + " and the parameters are [-2.72374508 3.71441579] -4.828909188108203 ;\n", + "Epoch 490/1000, Cost: 5.1930\n", + " and the parameters are [-2.72380529 3.71428998] -4.828992734130484 ;\n", + "Epoch 490/1000, Cost: 4.7732\n", + " and the parameters are [-2.72383684 3.71437503] -4.828939223640725 ;\n", + "Epoch 490/1000, Cost: 2.0630\n", + " and the parameters are [-2.72387195 3.71433671] -4.828994877482324 ;\n", + "Epoch 490/1000, Cost: 1.9313\n", + " and the parameters are [-2.72390084 3.71432407] -4.829014488701505 ;\n", + "Epoch 490/1000, Cost: 3.3164\n", + " and the parameters are [-2.72393043 3.71431931] -4.82904043555463 ;\n", + "Epoch 490/1000, Cost: 1.2025\n", + " and the parameters are [-2.72394964 3.71432431] -4.829049171046374 ;\n", + "Epoch 490/1000, Cost: 3.8103\n", + " and the parameters are [-2.72396242 3.71428344] -4.829104484195877 ;\n", + "Epoch 490/1000, Cost: 2.4831\n", + " and the parameters are [-2.72400597 3.71428922] -4.829113622887011 ;\n", + "Epoch 490/1000, Cost: 4.6416\n", + " and the parameters are [-2.72401334 3.71430236] -4.829121448974882 ;\n", + "Epoch 490/1000, Cost: 3.9382\n", + " and the parameters are [-2.72397309 3.71437774] -4.829098563274501 ;\n", + "Epoch 490/1000, Cost: 1.8025\n", + " and the parameters are [-2.72396402 3.71436147] -4.829137151572797 ;\n", + "Epoch 490/1000, Cost: 1.9699\n", + " and the parameters are [-2.72397907 3.71442451] -4.8291186597444 ;\n", + "Epoch 490/1000, Cost: 1.5760\n", + " and the parameters are [-2.72398809 3.71444924] -4.8291245312184055 ;\n", + "Epoch 490/1000, Cost: 1.6394\n", + " and the parameters are [-2.72399428 3.71449756] -4.829115460439317 ;\n", + "Epoch 490/1000, Cost: 1.9271\n", + " and the parameters are [-2.72401007 3.71444418] -4.829178169816243 ;\n", + "Epoch 490/1000, Cost: 3.2385\n", + " and the parameters are [-2.72398668 3.71440832] -4.829262751252672 ;\n", + "Epoch 490/1000, Cost: 1.7330\n", + " and the parameters are [-2.72397853 3.7144636 ] -4.82925592735611 ;\n", + "Epoch 490/1000, Cost: 6.1282\n", + " and the parameters are [-2.72391019 3.71456899] -4.82922325602052 ;\n", + "Epoch 490/1000, Cost: 3.0137\n", + " and the parameters are [-2.72387221 3.71453724] -4.829291422918965 ;\n", + "Epoch 490/1000, Cost: 3.0901\n", + " and the parameters are [-2.72389833 3.71449212] -4.829340339840563 ;\n", + "Epoch 490/1000, Cost: 5.0138\n", + " and the parameters are [-2.72383733 3.7145388 ] -4.829356721096849 ;\n", + "Epoch 490/1000, Cost: 6.6811\n", + " and the parameters are [-2.72382672 3.71456959] -4.829337122361059 ;\n", + "Epoch 490/1000, Cost: 8.2053\n", + " and the parameters are [-2.72388401 3.71457641] -4.829295419909062 ;\n", + "Epoch 490/1000, Cost: 2.3245\n", + " and the parameters are [-2.72393667 3.71463989] -4.829248641277542 ;\n", + "Epoch 490/1000, Cost: 6.0970\n", + " and the parameters are [-2.72396382 3.71458823] -4.829292496484549 ;\n", + "Epoch 490/1000, Cost: 3.1925\n", + " and the parameters are [-2.72393865 3.71469413] -4.829257215313151 ;\n", + "Epoch 490/1000, Cost: 7.3944\n", + " and the parameters are [-2.72400812 3.71485638] -4.829112800343674 ;\n", + "Epoch 490/1000, Cost: 3.5691\n", + " and the parameters are [-2.72404224 3.71479858] -4.829152805873362 ;\n", + "Epoch 490/1000, Cost: 2.6349\n", + " and the parameters are [-2.72400943 3.71488193] -4.8291475077054935 ;\n", + "Epoch 490/1000, Cost: 5.7984\n", + " and the parameters are [-2.72411238 3.71490242] -4.829103073394445 ;\n", + "Epoch 490/1000, Cost: 2.3459\n", + " and the parameters are [-2.72409687 3.71498762] -4.829069722915092 ;\n", + "Epoch 490/1000, Cost: 6.6077\n", + " and the parameters are [-2.72413674 3.71488683] -4.829137626616319 ;\n", + "Epoch 490/1000, Cost: 2.8639\n", + " and the parameters are [-2.72414501 3.71488919] -4.829157063996473 ;\n", + "Epoch 490/1000, Cost: 3.1186\n", + " and the parameters are [-2.72413696 3.71482232] -4.829238980906729 ;\n", + "Epoch 490/1000, Cost: 3.6924\n", + " and the parameters are [-2.72416232 3.71489105] -4.829207653432452 ;\n", + "Epoch 490/1000, Cost: 2.8520\n", + " and the parameters are [-2.72421307 3.71488436] -4.829223701956547 ;\n", + "Epoch 490/1000, Cost: 6.1707\n", + " and the parameters are [-2.72417034 3.71478811] -4.829334580315615 ;\n", + "Epoch 490/1000, Cost: 2.8611\n", + " and the parameters are [-2.72412713 3.71478329] -4.829396088472388 ;\n", + "Epoch 490/1000, Cost: 1.3770\n", + " and the parameters are [-2.72413079 3.71478781] -4.829423899409733 ;\n", + "Epoch 490/1000, Cost: 2.7364\n", + " and the parameters are [-2.72405202 3.71481836] -4.829478039604158 ;\n", + "Epoch 490/1000, Cost: 4.8831\n", + " and the parameters are [-2.7240133 3.71472573] -4.82957765949935 ;\n", + "Epoch 490/1000, Cost: 7.7311\n", + " and the parameters are [-2.72405548 3.71460308] -4.8296381163658895 ;\n", + "Epoch 490/1000, Cost: 4.7712\n", + " and the parameters are [-2.72406574 3.71449838] -4.829727422446469 ;\n", + "Epoch 490/1000, Cost: 1.2360\n", + " and the parameters are [-2.72407055 3.71450418] -4.82975115200076 ;\n", + "Epoch 490/1000, Cost: 3.4657\n", + " and the parameters are [-2.72406788 3.71447857] -4.829811428635485 ;\n", + "Epoch 490/1000, Cost: 3.3418\n", + " and the parameters are [-2.72417034 3.7143403 ] -4.829879236361525 ;\n", + "Epoch 490/1000, Cost: 3.9595\n", + " and the parameters are [-2.72426386 3.71430942] -4.829881756071126 ;\n", + "Epoch 490/1000, Cost: 2.9976\n", + " and the parameters are [-2.72427921 3.71440348] -4.829838467983982 ;\n", + "Epoch 490/1000, Cost: 2.9129\n", + " and the parameters are [-2.72431402 3.71440116] -4.8298475350407 ;\n", + "Epoch 490/1000, Cost: 5.6040\n", + " and the parameters are [-2.72422908 3.71433649] -4.82994628475071 ;\n", + "Epoch 490/1000, Cost: 5.5364\n", + " and the parameters are [-2.72441195 3.71433632] -4.829846325812741 ;\n", + "Epoch 490/1000, Cost: 4.9621\n", + " and the parameters are [-2.72442159 3.71420841] -4.829952556204404 ;\n", + "Epoch 490/1000, Cost: 1.5309\n", + " and the parameters are [-2.72445888 3.71417627] -4.829984747813103 ;\n", + "Epoch 490/1000, Cost: 3.0337\n", + " and the parameters are [-2.7244029 3.71415748] -4.830051024368263 ;\n", + "Epoch 490/1000, Cost: 0.7871\n", + " and the parameters are [-2.72441833 3.71416248] -4.830060986496112 ;\n", + "Epoch 490/1000, Cost: 2.6761\n", + " and the parameters are [-2.72449661 3.71414397] -4.830073399999348 ;\n", + "Epoch 490/1000, Cost: 3.7595\n", + " and the parameters are [-2.72454694 3.71417262] -4.830051897202944 ;\n", + "Epoch 490/1000, Cost: 3.2557\n", + " and the parameters are [-2.72461236 3.71412824] -4.830079660787888 ;\n", + "Epoch 490/1000, Cost: 1.9360\n", + " and the parameters are [-2.72460255 3.71414963] -4.830102535849837 ;\n", + "Epoch 490/1000, Cost: 2.1763\n", + " and the parameters are [-2.72460665 3.71413867] -4.830143073588556 ;\n", + "Epoch 490/1000, Cost: 2.2794\n", + " and the parameters are [-2.72470276 3.7141542 ] -4.830116249633684 ;\n", + "Epoch 490/1000, Cost: 2.0857\n", + " and the parameters are [-2.72467419 3.71420337] -4.830127026023092 ;\n", + "Epoch 490/1000, Cost: 2.0999\n", + " and the parameters are [-2.72467186 3.71421575] -4.8301618557861286 ;\n", + "Epoch 490/1000, Cost: 2.2320\n", + " and the parameters are [-2.72471875 3.71430417] -4.8300970318899346 ;\n", + "Epoch 490/1000, Cost: 3.6800\n", + " and the parameters are [-2.72470368 3.71437179] -4.83008445031177 ;\n", + "Epoch 490/1000, Cost: 2.3440\n", + " and the parameters are [-2.72466503 3.71438695] -4.830116767807885 ;\n", + "Epoch 490/1000, Cost: 3.5627\n", + " and the parameters are [-2.72465747 3.71444817] -4.830092363484434 ;\n", + "Epoch 490/1000, Cost: 2.3779\n", + " and the parameters are [-2.72465081 3.71447138] -4.830114330071609 ;\n", + "Epoch 490/1000, Cost: 2.8381\n", + " and the parameters are [-2.72468349 3.71441932] -4.830158164506506 ;\n", + "Epoch 490/1000, Cost: 3.4621\n", + " and the parameters are [-2.72480482 3.71422175] -4.830253349981222 ;\n", + "Epoch 490/1000, Cost: 3.5255\n", + " and the parameters are [-2.7247307 3.71419646] -4.830341701907426 ;\n", + "Epoch 490/1000, Cost: 3.4269\n", + " and the parameters are [-2.72471669 3.71419392] -4.830376499504452 ;\n", + "Epoch 490/1000, Cost: 1.4644\n", + " and the parameters are [-2.72469646 3.71425139] -4.830378450431946 ;\n", + "Epoch 490/1000, Cost: 1.0089\n", + " and the parameters are [-2.7246889 3.71431394] -4.830362785271877 ;\n", + "Epoch 490/1000, Cost: 2.4459\n", + " and the parameters are [-2.72468853 3.71434758] -4.830368709822067 ;\n", + "Epoch 490/1000, Cost: 3.0407\n", + " and the parameters are [-2.72468962 3.71440355] -4.8303526818625775 ;\n", + "Epoch 490/1000, Cost: 5.5647\n", + " and the parameters are [-2.72470811 3.71426465] -4.830457129498517 ;\n", + "Epoch 490/1000, Cost: 1.8185\n", + " and the parameters are [-2.72461824 3.7143421 ] -4.830477006269371 ;\n", + "Epoch 490/1000, Cost: 1.7725\n", + " and the parameters are [-2.72466887 3.71435021] -4.830478881292767 ;\n", + "Epoch 490/1000, Cost: 2.7258\n", + " and the parameters are [-2.72463709 3.71444945] -4.830454263412393 ;\n", + "Epoch 490/1000, Cost: 3.7578\n", + " and the parameters are [-2.724643 3.71439115] -4.830541327790661 ;\n", + "Epoch 490/1000, Cost: 1.8903\n", + " and the parameters are [-2.72468192 3.71440828] -4.830545428595614 ;\n", + "Epoch 490/1000, Cost: 2.2431\n", + " and the parameters are [-2.72469547 3.71446118] -4.830536090481749 ;\n", + "Epoch 490/1000, Cost: 3.2676\n", + " and the parameters are [-2.72473962 3.71453716] -4.830503533267932 ;\n", + "Epoch 490/1000, Cost: 1.8260\n", + " and the parameters are [-2.72473524 3.71455813] -4.830521445538602 ;\n", + "Epoch 490/1000, Cost: 2.6350\n", + " and the parameters are [-2.72470488 3.71459148] -4.830545969629009 ;\n", + "Epoch 490/1000, Cost: 1.8055\n", + " and the parameters are [-2.72473944 3.71460005] -4.830557377610493 ;\n", + "Epoch 490/1000, Cost: 3.1383\n", + " and the parameters are [-2.72476083 3.71454212] -4.8306203515008495 ;\n", + "Epoch 490/1000, Cost: 5.9892\n", + " and the parameters are [-2.72482891 3.71450166] -4.830610260394336 ;\n", + "Epoch 490/1000, Cost: 2.8169\n", + " and the parameters are [-2.72481627 3.71457469] -4.830601694080476 ;\n", + "Epoch 490/1000, Cost: 1.5620\n", + " and the parameters are [-2.72482297 3.71457245] -4.8306310117667275 ;\n", + "Epoch 490/1000, Cost: 5.2429\n", + " and the parameters are [-2.7248907 3.71454535] -4.8306331536362395 ;\n", + "Epoch 490/1000, Cost: 2.5563\n", + " and the parameters are [-2.72487309 3.71456722] -4.830657019867465 ;\n", + "Epoch 490/1000, Cost: 6.9427\n", + " and the parameters are [-2.72489228 3.71461842] -4.830579977847068 ;\n", + "Epoch 490/1000, Cost: 1.9538\n", + " and the parameters are [-2.72487035 3.71459984] -4.830642454737502 ;\n", + "Epoch 490/1000, Cost: 3.6159\n", + " and the parameters are [-2.7248176 3.71462819] -4.830676011899364 ;\n", + "Epoch 490/1000, Cost: 11.9243\n", + " and the parameters are [-2.72495814 3.71442039] -4.83069787235171 ;\n", + "Epoch 490/1000, Cost: 6.3479\n", + " and the parameters are [-2.72496291 3.71440586] -4.830706847217898 ;\n", + "Epoch 490/1000, Cost: 4.1914\n", + " and the parameters are [-2.72494974 3.71439375] -4.830754088433448 ;\n", + "Epoch 490/1000, Cost: 1.8572\n", + " and the parameters are [-2.72494347 3.71447501] -4.830733483027363 ;\n", + "Epoch 490/1000, Cost: 3.9258\n", + " and the parameters are [-2.72501436 3.71445396] -4.830742699110072 ;\n", + "Epoch 490/1000, Cost: 2.3682\n", + " and the parameters are [-2.7250127 3.71454392] -4.830705476624327 ;\n", + "Epoch 490/1000, Cost: 4.0463\n", + " and the parameters are [-2.72502824 3.71464866] -4.830640394249358 ;\n", + "Epoch 490/1000, Cost: 2.1818\n", + " and the parameters are [-2.72501996 3.71464136] -4.830687356480023 ;\n", + "Epoch 490/1000, Cost: 4.6773\n", + " and the parameters are [-2.72497219 3.71470456] -4.830707000110963 ;\n", + "Epoch 490/1000, Cost: 1.1965\n", + " and the parameters are [-2.72495828 3.71470823] -4.830745107096626 ;\n", + "Epoch 490/1000, Cost: 4.8266\n", + " and the parameters are [-2.7249489 3.71479968] -4.830696215605715 ;\n", + "Epoch 490/1000, Cost: 3.6774\n", + " and the parameters are [-2.72492879 3.71474896] -4.830752311061711 ;\n", + "Epoch 490/1000, Cost: 1.3309\n", + " and the parameters are [-2.72494222 3.71476824] -4.830760809953263 ;\n", + "Epoch 490/1000, Cost: 2.1776\n", + " and the parameters are [-2.72489841 3.71479182] -4.830796142975621 ;\n", + "Epoch 490/1000, Cost: 2.5293\n", + " and the parameters are [-2.72486051 3.71494449] -4.830734558747692 ;\n", + "Epoch 490/1000, Cost: 3.7189\n", + " and the parameters are [-2.7248697 3.71487876] -4.830800755619058 ;\n", + "Epoch 490/1000, Cost: 3.7285\n", + " and the parameters are [-2.72493044 3.71483457] -4.830835599270589 ;\n", + "Epoch 490/1000, Cost: 1.8402\n", + " and the parameters are [-2.7249228 3.71488123] -4.830838835119065 ;\n", + "Epoch 490/1000, Cost: 3.4619\n", + " and the parameters are [-2.72495291 3.714773 ] -4.830934536404038 ;\n", + "Epoch 490/1000, Cost: 3.3392\n", + " and the parameters are [-2.72489131 3.71471667] -4.831030437044449 ;\n", + "Epoch 490/1000, Cost: 3.0068\n", + " and the parameters are [-2.72496647 3.71468238] -4.8310412689518545 ;\n", + "Epoch 490/1000, Cost: 7.4742\n", + " and the parameters are [-2.72487649 3.71478195] -4.831001634930593 ;\n", + "Epoch 490/1000, Cost: 2.8223\n", + " and the parameters are [-2.72491874 3.7147212 ] -4.831056231887835 ;\n", + "Epoch 490/1000, Cost: 3.3375\n", + " and the parameters are [-2.72493139 3.71463934] -4.831152926347485 ;\n", + "Epoch 490/1000, Cost: 2.5347\n", + " and the parameters are [-2.7249018 3.71471923] -4.831146037004723 ;\n", + "Epoch 490/1000, Cost: 3.4579\n", + " and the parameters are [-2.72485865 3.71478718] -4.831155021172098 ;\n", + "Epoch 490/1000, Cost: 5.6695\n", + " and the parameters are [-2.72492086 3.71473177] -4.831154924638723 ;\n", + "Epoch 490/1000, Cost: 2.7829\n", + " and the parameters are [-2.7249605 3.7148318] -4.8310752486357975 ;\n", + "Epoch 490/1000, Cost: 4.3450\n", + " and the parameters are [-2.72501522 3.71475982] -4.83111967140345 ;\n", + "Epoch 490/1000, Cost: 3.5502\n", + " and the parameters are [-2.72497787 3.71492944] -4.8310477404371 ;\n", + "Epoch 490/1000, Cost: 2.8189\n", + " and the parameters are [-2.72490569 3.7150799 ] -4.831013199724859 ;\n", + "Epoch 490/1000, Cost: 2.8006\n", + " and the parameters are [-2.72500378 3.71499412] -4.831065289187491 ;\n", + "Epoch 490/1000, Cost: 3.3429\n", + " and the parameters are [-2.72501303 3.71497061] -4.831108002639299 ;\n", + "Epoch 490/1000, Cost: 5.5850\n", + " and the parameters are [-2.72513547 3.71487906] -4.8311109394787435 ;\n", + "Epoch 490/1000, Cost: 3.5854\n", + " and the parameters are [-2.72506765 3.71485373] -4.831192118285075 ;\n", + "Epoch 490/1000, Cost: 2.3015\n", + " and the parameters are [-2.72506764 3.71489709] -4.831200318764585 ;\n", + "Epoch 490/1000, Cost: 2.9559\n", + " and the parameters are [-2.72509116 3.71498377] -4.831170336846772 ;\n", + "Epoch 490/1000, Cost: 4.6801\n", + " and the parameters are [-2.72505369 3.71494936] -4.831234985362719 ;\n", + "Epoch 490/1000, Cost: 5.9130\n", + " and the parameters are [-2.72514106 3.71475256] -4.831347485648369 ;\n", + "Epoch 490/1000, Cost: 5.6756\n", + " and the parameters are [-2.72508706 3.71476479] -4.83137425254538 ;\n", + "Epoch 490/1000, Cost: 5.6087\n", + " and the parameters are [-2.72513993 3.71465821] -4.831437541921419 ;\n", + "Epoch 490/1000, Cost: 2.2880\n", + " and the parameters are [-2.72514583 3.71471411] -4.831427694612275 ;\n", + "Epoch 490/1000, Cost: 5.0564\n", + " and the parameters are [-2.72515663 3.71473583] -4.83140751657075 ;\n", + "Epoch 490/1000, Cost: 1.2538\n", + " and the parameters are [-2.72515377 3.71475693] -4.83142738548219 ;\n", + "Epoch 490/1000, Cost: 3.2944\n", + " and the parameters are [-2.7251399 3.71484619] -4.831397385737418 ;\n", + "Epoch 490/1000, Cost: 1.1604\n", + " and the parameters are [-2.72512803 3.71489422] -4.831399152089398 ;\n", + "Epoch 490/1000, Cost: 2.5290\n", + " and the parameters are [-2.72516182 3.7148835 ] -4.831415771744378 ;\n", + "Epoch 490/1000, Cost: 5.1732\n", + " and the parameters are [-2.72517588 3.71489008] -4.831422807105111 ;\n", + "Epoch 490/1000, Cost: 4.6150\n", + " and the parameters are [-2.72519398 3.71485516] -4.831481409851088 ;\n", + "Epoch 500/1000, Cost: 1.5867\n", + " and the parameters are [-2.73955408 3.73279498] -4.857071844583149 ;\n", + "Epoch 500/1000, Cost: 1.8568\n", + " and the parameters are [-2.73954975 3.73279881] -4.8571003987349926 ;\n", + "Epoch 500/1000, Cost: 2.7994\n", + " and the parameters are [-2.73957041 3.73287247] -4.857082591151248 ;\n", + "Epoch 500/1000, Cost: 2.2603\n", + " and the parameters are [-2.73952936 3.73294216] -4.857088130280538 ;\n", + "Epoch 500/1000, Cost: 1.5175\n", + " and the parameters are [-2.7395375 3.73291918] -4.85713121092159 ;\n", + "Epoch 500/1000, Cost: 2.8433\n", + " and the parameters are [-2.7395898 3.73298722] -4.857080136062111 ;\n", + "Epoch 500/1000, Cost: 3.5925\n", + " and the parameters are [-2.7396522 3.73305407] -4.857011856806728 ;\n", + "Epoch 500/1000, Cost: 5.2527\n", + " and the parameters are [-2.7395952 3.73320535] -4.856953790778996 ;\n", + "Epoch 500/1000, Cost: 9.4525\n", + " and the parameters are [-2.73961057 3.73319223] -4.856926880990171 ;\n", + "Epoch 500/1000, Cost: 1.8818\n", + " and the parameters are [-2.73958886 3.73323052] -4.856947137109508 ;\n", + "Epoch 500/1000, Cost: 4.7359\n", + " and the parameters are [-2.73954332 3.73337661] -4.856882731631476 ;\n", + "Epoch 500/1000, Cost: 4.6269\n", + " and the parameters are [-2.73950848 3.73338296] -4.856903439352 ;\n", + "Epoch 500/1000, Cost: 3.5061\n", + " and the parameters are [-2.73948537 3.73342854] -4.856904452155812 ;\n", + "Epoch 500/1000, Cost: 3.1001\n", + " and the parameters are [-2.73961891 3.73328043] -4.856974923054183 ;\n", + "Epoch 500/1000, Cost: 3.4777\n", + " and the parameters are [-2.73955642 3.73332282] -4.857023325534198 ;\n", + "Epoch 500/1000, Cost: 3.4929\n", + " and the parameters are [-2.73963381 3.73329945] -4.857034650401389 ;\n", + "Epoch 500/1000, Cost: 2.9617\n", + " and the parameters are [-2.73964529 3.73335298] -4.857012727832198 ;\n", + "Epoch 500/1000, Cost: 6.0747\n", + " and the parameters are [-2.73956459 3.73336473] -4.857051218374959 ;\n", + "Epoch 500/1000, Cost: 2.6937\n", + " and the parameters are [-2.73960822 3.73338124] -4.857057691312065 ;\n", + "Epoch 500/1000, Cost: 5.5216\n", + " and the parameters are [-2.73964987 3.73336016] -4.857061195409016 ;\n", + "Epoch 500/1000, Cost: 2.2117\n", + " and the parameters are [-2.73962902 3.73337298] -4.8570985370408035 ;\n", + "Epoch 500/1000, Cost: 1.0108\n", + " and the parameters are [-2.73961201 3.73340208] -4.857113896016997 ;\n", + "Epoch 500/1000, Cost: 2.3946\n", + " and the parameters are [-2.73958248 3.73345462] -4.857127645750308 ;\n", + "Epoch 500/1000, Cost: 2.4478\n", + " and the parameters are [-2.73957549 3.73351436] -4.857127112818597 ;\n", + "Epoch 500/1000, Cost: 1.1122\n", + " and the parameters are [-2.73956258 3.73355703] -4.857127890104515 ;\n", + "Epoch 500/1000, Cost: 2.1150\n", + " and the parameters are [-2.73956985 3.73353404] -4.8571744131133565 ;\n", + "Epoch 500/1000, Cost: 3.6658\n", + " and the parameters are [-2.73956704 3.73357156] -4.857176836368323 ;\n", + "Epoch 500/1000, Cost: 1.6117\n", + " and the parameters are [-2.73957656 3.73362988] -4.857161473938151 ;\n", + "Epoch 500/1000, Cost: 3.1707\n", + " and the parameters are [-2.73961973 3.73361968] -4.857163552910375 ;\n", + "Epoch 500/1000, Cost: 2.8433\n", + " and the parameters are [-2.73963202 3.73357364] -4.85721266748019 ;\n", + "Epoch 500/1000, Cost: 2.9629\n", + " and the parameters are [-2.73956831 3.73375146] -4.857146005503161 ;\n", + "Epoch 500/1000, Cost: 5.2698\n", + " and the parameters are [-2.73956367 3.73365289] -4.85724508147931 ;\n", + "Epoch 500/1000, Cost: 2.7217\n", + " and the parameters are [-2.7396197 3.73359424] -4.857292659785703 ;\n", + "Epoch 500/1000, Cost: 3.0139\n", + " and the parameters are [-2.73958063 3.73360202] -4.857334822211357 ;\n", + "Epoch 500/1000, Cost: 2.1842\n", + " and the parameters are [-2.73954939 3.73362788] -4.857368693668447 ;\n", + "Epoch 500/1000, Cost: 1.9786\n", + " and the parameters are [-2.73959382 3.7336727 ] -4.8573384611179975 ;\n", + "Epoch 500/1000, Cost: 4.9007\n", + " and the parameters are [-2.73963596 3.73369981] -4.85732123814006 ;\n", + "Epoch 500/1000, Cost: 2.2006\n", + " and the parameters are [-2.73964787 3.73372547] -4.857331947984458 ;\n", + "Epoch 500/1000, Cost: 3.3327\n", + " and the parameters are [-2.73956074 3.73380637] -4.857354962686226 ;\n", + "Epoch 500/1000, Cost: 3.2876\n", + " and the parameters are [-2.73957325 3.73376013] -4.857425065275574 ;\n", + "Epoch 500/1000, Cost: 1.0548\n", + " and the parameters are [-2.73960078 3.7337479 ] -4.857447126775656 ;\n", + "Epoch 500/1000, Cost: 2.0925\n", + " and the parameters are [-2.73966352 3.73367961] -4.857496609892262 ;\n", + "Epoch 500/1000, Cost: 2.3787\n", + " and the parameters are [-2.73958342 3.73375238] -4.857513506262342 ;\n", + "Epoch 500/1000, Cost: 1.9585\n", + " and the parameters are [-2.73957285 3.73381108] -4.857500373549507 ;\n", + "Epoch 500/1000, Cost: 3.9342\n", + " and the parameters are [-2.73961685 3.73386676] -4.857480671471503 ;\n", + "Epoch 500/1000, Cost: 1.2162\n", + " and the parameters are [-2.739607 3.73388555] -4.857503160763914 ;\n", + "Epoch 500/1000, Cost: 6.1073\n", + " and the parameters are [-2.73953201 3.73399195] -4.8574700974431435 ;\n", + "Epoch 500/1000, Cost: 3.7811\n", + " and the parameters are [-2.73957909 3.73387587] -4.857560860563632 ;\n", + "Epoch 500/1000, Cost: 3.0276\n", + " and the parameters are [-2.7396156 3.73387699] -4.857575828304741 ;\n", + "Epoch 500/1000, Cost: 1.6024\n", + " and the parameters are [-2.73956553 3.73388434] -4.857625895644242 ;\n", + "Epoch 500/1000, Cost: 4.5007\n", + " and the parameters are [-2.73968026 3.73381298] -4.857636579431402 ;\n", + "Epoch 500/1000, Cost: 2.0699\n", + " and the parameters are [-2.73968089 3.73389191] -4.857608586685745 ;\n", + "Epoch 500/1000, Cost: 5.8130\n", + " and the parameters are [-2.73968972 3.73379616] -4.857698321952899 ;\n", + "Epoch 500/1000, Cost: 2.0569\n", + " and the parameters are [-2.73970678 3.73382677] -4.857703658942283 ;\n", + "Epoch 500/1000, Cost: 2.3953\n", + " and the parameters are [-2.73970469 3.73379884] -4.8577649939827845 ;\n", + "Epoch 500/1000, Cost: 2.6122\n", + " and the parameters are [-2.73972005 3.73376803] -4.857815465352555 ;\n", + "Epoch 500/1000, Cost: 6.0743\n", + " and the parameters are [-2.73966517 3.73380017] -4.857832198285324 ;\n", + "Epoch 500/1000, Cost: 3.7515\n", + " and the parameters are [-2.73962364 3.73385449] -4.857847648982076 ;\n", + "Epoch 500/1000, Cost: 1.7181\n", + " and the parameters are [-2.7396426 3.73386193] -4.857861195606638 ;\n", + "Epoch 500/1000, Cost: 5.9669\n", + " and the parameters are [-2.73977664 3.73370577] -4.857899326113616 ;\n", + "Epoch 500/1000, Cost: 3.4746\n", + " and the parameters are [-2.7398348 3.73376709] -4.857826935224579 ;\n", + "Epoch 500/1000, Cost: 2.0277\n", + " and the parameters are [-2.73982708 3.73379355] -4.857849242521708 ;\n", + "Epoch 500/1000, Cost: 5.6683\n", + " and the parameters are [-2.7399404 3.73361738] -4.857936898285546 ;\n", + "Epoch 500/1000, Cost: 3.6029\n", + " and the parameters are [-2.73988558 3.73368095] -4.857950367052276 ;\n", + "Epoch 500/1000, Cost: 2.1509\n", + " and the parameters are [-2.73986589 3.7337635 ] -4.857932781407663 ;\n", + "Epoch 500/1000, Cost: 5.3440\n", + " and the parameters are [-2.7399191 3.73370977] -4.857951253510022 ;\n", + "Epoch 500/1000, Cost: 3.1933\n", + " and the parameters are [-2.7399906 3.73357142] -4.858053170323003 ;\n", + "Epoch 500/1000, Cost: 7.4779\n", + " and the parameters are [-2.740061 3.73361275] -4.857959646993445 ;\n", + "Epoch 500/1000, Cost: 1.7725\n", + " and the parameters are [-2.74007997 3.7336816 ] -4.8579345943786665 ;\n", + "Epoch 500/1000, Cost: 2.7654\n", + " and the parameters are [-2.74003377 3.73371845] -4.857955900241678 ;\n", + "Epoch 500/1000, Cost: 1.3182\n", + " and the parameters are [-2.74001073 3.73376577] -4.857964432741321 ;\n", + "Epoch 500/1000, Cost: 5.7372\n", + " and the parameters are [-2.73999845 3.73374551] -4.8579915022551585 ;\n", + "Epoch 500/1000, Cost: 3.9818\n", + " and the parameters are [-2.74004591 3.73363033] -4.858082508584801 ;\n", + "Epoch 500/1000, Cost: 1.6248\n", + " and the parameters are [-2.74003784 3.73368735] -4.858078160835055 ;\n", + "Epoch 500/1000, Cost: 1.7257\n", + " and the parameters are [-2.74002247 3.73380177] -4.858024261882942 ;\n", + "Epoch 500/1000, Cost: 4.9605\n", + " and the parameters are [-2.74002509 3.73365284] -4.858160241250981 ;\n", + "Epoch 500/1000, Cost: 1.8464\n", + " and the parameters are [-2.74003213 3.73368141] -4.858173536631347 ;\n", + "Epoch 500/1000, Cost: 0.6288\n", + " and the parameters are [-2.74003641 3.73371875] -4.85816377750538 ;\n", + "Epoch 500/1000, Cost: 1.7775\n", + " and the parameters are [-2.73999547 3.73378388] -4.858164145779796 ;\n", + "Epoch 500/1000, Cost: 3.8957\n", + " and the parameters are [-2.74006191 3.73379958] -4.8581294272603035 ;\n", + "Epoch 500/1000, Cost: 5.2412\n", + " and the parameters are [-2.74018973 3.73373604] -4.858127953816209 ;\n", + "Epoch 500/1000, Cost: 1.3767\n", + " and the parameters are [-2.7402353 3.7337236] -4.858146759320687 ;\n", + "Epoch 500/1000, Cost: 10.2669\n", + " and the parameters are [-2.74036091 3.73344266] -4.8582864362206095 ;\n", + "Epoch 500/1000, Cost: 3.3980\n", + " and the parameters are [-2.74042775 3.73341737] -4.858288211820503 ;\n", + "Epoch 500/1000, Cost: 5.0883\n", + " and the parameters are [-2.74048331 3.73322584] -4.858403509806766 ;\n", + "Epoch 500/1000, Cost: 4.0340\n", + " and the parameters are [-2.74050316 3.73316026] -4.858468015958888 ;\n", + "Epoch 500/1000, Cost: 1.8528\n", + " and the parameters are [-2.74048149 3.73323977] -4.8584412246707105 ;\n", + "Epoch 500/1000, Cost: 7.2422\n", + " and the parameters are [-2.7405961 3.73302205] -4.858561680050399 ;\n", + "Epoch 500/1000, Cost: 1.6090\n", + " and the parameters are [-2.7406122 3.73307533] -4.858540474832468 ;\n", + "Epoch 500/1000, Cost: 4.4258\n", + " and the parameters are [-2.74060154 3.73302758] -4.858615445786479 ;\n", + "Epoch 500/1000, Cost: 4.0034\n", + " and the parameters are [-2.74055318 3.73311147] -4.858594103431221 ;\n", + "Epoch 500/1000, Cost: 1.6748\n", + " and the parameters are [-2.74052795 3.73315368] -4.858615620857271 ;\n", + "Epoch 500/1000, Cost: 2.2434\n", + " and the parameters are [-2.74054283 3.7332723 ] -4.858556735841294 ;\n", + "Epoch 500/1000, Cost: 2.8397\n", + " and the parameters are [-2.74053695 3.73331551] -4.858561730271222 ;\n", + "Epoch 500/1000, Cost: 1.5089\n", + " and the parameters are [-2.74049361 3.73344249] -4.858518763402985 ;\n", + "Epoch 500/1000, Cost: 2.4340\n", + " and the parameters are [-2.74048111 3.73351167] -4.858509771645081 ;\n", + "Epoch 500/1000, Cost: 3.2725\n", + " and the parameters are [-2.7405017 3.73359368] -4.8584487246219865 ;\n", + "Epoch 500/1000, Cost: 4.2894\n", + " and the parameters are [-2.74049985 3.73359394] -4.858466320667759 ;\n", + "Epoch 500/1000, Cost: 2.0197\n", + " and the parameters are [-2.74048998 3.73371904] -4.858402434151749 ;\n", + "Epoch 500/1000, Cost: 5.0212\n", + " and the parameters are [-2.74053651 3.73361797] -4.858467822951021 ;\n", + "Epoch 500/1000, Cost: 5.8184\n", + " and the parameters are [-2.74043483 3.73377623] -4.858392020832887 ;\n", + "Epoch 500/1000, Cost: 4.5768\n", + " and the parameters are [-2.74047816 3.73377628] -4.858389356549874 ;\n", + "Epoch 500/1000, Cost: 2.2560\n", + " and the parameters are [-2.74047858 3.73384945] -4.858368450314264 ;\n", + "Epoch 500/1000, Cost: 2.9413\n", + " and the parameters are [-2.7404879 3.7338116] -4.858423278619623 ;\n", + "Epoch 500/1000, Cost: 2.0919\n", + " and the parameters are [-2.7405158 3.73383706] -4.858423970043964 ;\n", + "Epoch 500/1000, Cost: 3.6829\n", + " and the parameters are [-2.74051787 3.73379075] -4.858486122236507 ;\n", + "Epoch 500/1000, Cost: 2.8985\n", + " and the parameters are [-2.74046026 3.73386257] -4.858497689273194 ;\n", + "Epoch 500/1000, Cost: 2.1757\n", + " and the parameters are [-2.74052914 3.73389663] -4.858463093854389 ;\n", + "Epoch 500/1000, Cost: 2.9578\n", + " and the parameters are [-2.74047117 3.73395768] -4.858472554132872 ;\n", + "Epoch 500/1000, Cost: 2.2747\n", + " and the parameters are [-2.7405213 3.73387859] -4.858537472417527 ;\n", + "Epoch 500/1000, Cost: 7.6598\n", + " and the parameters are [-2.74050549 3.73385323] -4.858560540428014 ;\n", + "Epoch 500/1000, Cost: 5.5609\n", + " and the parameters are [-2.74049961 3.73386906] -4.858574011823431 ;\n", + "Epoch 500/1000, Cost: 1.9445\n", + " and the parameters are [-2.74051037 3.73390645] -4.858574949567281 ;\n", + "Epoch 500/1000, Cost: 1.8657\n", + " and the parameters are [-2.74051972 3.73392515] -4.85860040313811 ;\n", + "Epoch 500/1000, Cost: 7.5692\n", + " and the parameters are [-2.74057664 3.73377331] -4.8586903002233015 ;\n", + "Epoch 500/1000, Cost: 3.8240\n", + " and the parameters are [-2.74068221 3.733755 ] -4.858676487493023 ;\n", + "Epoch 500/1000, Cost: 2.2675\n", + " and the parameters are [-2.74066908 3.73376781] -4.858703623849123 ;\n", + "Epoch 500/1000, Cost: 1.9406\n", + " and the parameters are [-2.74064489 3.73375588] -4.858752876441766 ;\n", + "Epoch 500/1000, Cost: 4.3624\n", + " and the parameters are [-2.74065056 3.73367199] -4.8588445048345354 ;\n", + "Epoch 500/1000, Cost: 2.9169\n", + " and the parameters are [-2.74066822 3.73369349] -4.858865145081241 ;\n", + "Epoch 500/1000, Cost: 3.1865\n", + " and the parameters are [-2.74075276 3.73356903] -4.8589463144493505 ;\n", + "Epoch 500/1000, Cost: 3.4876\n", + " and the parameters are [-2.74073227 3.73361168] -4.85894630755701 ;\n", + "Epoch 500/1000, Cost: 7.9686\n", + " and the parameters are [-2.74066347 3.73373651] -4.858866322228559 ;\n", + "Epoch 500/1000, Cost: 1.9104\n", + " and the parameters are [-2.74067052 3.73377505] -4.858875927482482 ;\n", + "Epoch 500/1000, Cost: 5.7354\n", + " and the parameters are [-2.74063518 3.73384925] -4.858860133544869 ;\n", + "Epoch 500/1000, Cost: 1.5876\n", + " and the parameters are [-2.74062467 3.73386832] -4.858879489030065 ;\n", + "Epoch 500/1000, Cost: 1.4520\n", + " and the parameters are [-2.74060425 3.73390623] -4.85889145961981 ;\n", + "Epoch 500/1000, Cost: 1.5432\n", + " and the parameters are [-2.74061929 3.73399076] -4.858847984014712 ;\n", + "Epoch 500/1000, Cost: 1.7124\n", + " and the parameters are [-2.74065784 3.73397902] -4.858865277936281 ;\n", + "Epoch 500/1000, Cost: 3.2685\n", + " and the parameters are [-2.74063413 3.73400985] -4.858884091037161 ;\n", + "Epoch 500/1000, Cost: 4.5276\n", + " and the parameters are [-2.74051315 3.73404529] -4.85894560078004 ;\n", + "Epoch 500/1000, Cost: 2.9031\n", + " and the parameters are [-2.74046722 3.73406544] -4.85898619160677 ;\n", + "Epoch 500/1000, Cost: 6.3146\n", + " and the parameters are [-2.74051124 3.73388976] -4.859100262110072 ;\n", + "Epoch 500/1000, Cost: 1.9112\n", + " and the parameters are [-2.74049029 3.73395508] -4.85908274538829 ;\n", + "Epoch 500/1000, Cost: 3.4074\n", + " and the parameters are [-2.74053272 3.73400455] -4.859025772616693 ;\n", + "Epoch 500/1000, Cost: 2.4298\n", + " and the parameters are [-2.74049766 3.73402773] -4.859059482734276 ;\n", + "Epoch 500/1000, Cost: 5.1928\n", + " and the parameters are [-2.74057833 3.73400153] -4.8590443285688965 ;\n", + "Epoch 500/1000, Cost: 2.4041\n", + " and the parameters are [-2.74050089 3.73415133] -4.859014460309531 ;\n", + "Epoch 500/1000, Cost: 6.5237\n", + " and the parameters are [-2.74046839 3.73420156] -4.859014407387072 ;\n", + "Epoch 500/1000, Cost: 4.3100\n", + " and the parameters are [-2.74051975 3.73431954] -4.858931981435429 ;\n", + "Epoch 500/1000, Cost: 1.1654\n", + " and the parameters are [-2.74049399 3.73434865] -4.858956838887712 ;\n", + "Epoch 500/1000, Cost: 2.4757\n", + " and the parameters are [-2.7404786 3.73438082] -4.858982579644184 ;\n", + "Epoch 500/1000, Cost: 1.3461\n", + " and the parameters are [-2.74052019 3.73434695] -4.859015201532696 ;\n", + "Epoch 500/1000, Cost: 2.3841\n", + " and the parameters are [-2.7404924 3.73445457] -4.8589810478276485 ;\n", + "Epoch 500/1000, Cost: 2.0338\n", + " and the parameters are [-2.74049981 3.73450854] -4.858973579124493 ;\n", + "Epoch 500/1000, Cost: 1.1566\n", + " and the parameters are [-2.74048595 3.73453839] -4.858988363528765 ;\n", + "Epoch 500/1000, Cost: 6.8516\n", + " and the parameters are [-2.74043308 3.73453381] -4.859016580268553 ;\n", + "Epoch 500/1000, Cost: 2.5571\n", + " and the parameters are [-2.74043242 3.73453984] -4.859046521586435 ;\n", + "Epoch 500/1000, Cost: 2.0928\n", + " and the parameters are [-2.74043504 3.73457328] -4.859052562849976 ;\n", + "Epoch 500/1000, Cost: 2.3223\n", + " and the parameters are [-2.74041815 3.73467008] -4.859020527194683 ;\n", + "Epoch 500/1000, Cost: 4.9506\n", + " and the parameters are [-2.74038521 3.73456164] -4.859144629323929 ;\n", + "Epoch 500/1000, Cost: 3.9568\n", + " and the parameters are [-2.74042511 3.73447675] -4.859220309948756 ;\n", + "Epoch 500/1000, Cost: 5.6057\n", + " and the parameters are [-2.74040113 3.7346356 ] -4.859143935863149 ;\n", + "Epoch 500/1000, Cost: 2.2150\n", + " and the parameters are [-2.74042993 3.73462082] -4.859176108069982 ;\n", + "Epoch 500/1000, Cost: 3.4989\n", + " and the parameters are [-2.74053331 3.73452656] -4.85921695870796 ;\n", + "Epoch 500/1000, Cost: 3.2925\n", + " and the parameters are [-2.74049953 3.73457359] -4.859228654987952 ;\n", + "Epoch 500/1000, Cost: 2.9166\n", + " and the parameters are [-2.74043873 3.73462335] -4.859256368455626 ;\n", + "Epoch 500/1000, Cost: 0.7309\n", + " and the parameters are [-2.74043822 3.73463635] -4.859269871065122 ;\n", + "Epoch 500/1000, Cost: 3.3574\n", + " and the parameters are [-2.74045394 3.73461918] -4.859301964750748 ;\n", + "Epoch 500/1000, Cost: 2.5760\n", + " and the parameters are [-2.74047529 3.73463808] -4.859313716806909 ;\n", + "Epoch 500/1000, Cost: 3.1465\n", + " and the parameters are [-2.7405062 3.73473766] -4.859245223719706 ;\n", + "Epoch 500/1000, Cost: 2.7865\n", + " and the parameters are [-2.74050692 3.73468854] -4.859318532574821 ;\n", + "Epoch 500/1000, Cost: 2.5128\n", + " and the parameters are [-2.74051505 3.73470872] -4.859334432643779 ;\n", + "Epoch 500/1000, Cost: 6.1384\n", + " and the parameters are [-2.74053785 3.73468426] -4.859342653497023 ;\n", + "Epoch 500/1000, Cost: 2.3072\n", + " and the parameters are [-2.74051711 3.73476716] -4.859331883932258 ;\n", + "Epoch 500/1000, Cost: 2.4713\n", + " and the parameters are [-2.74051168 3.73474199] -4.859383875297104 ;\n", + "Epoch 500/1000, Cost: 8.8153\n", + " and the parameters are [-2.74059274 3.73467347] -4.859398848251681 ;\n", + "Epoch 500/1000, Cost: 4.0572\n", + " and the parameters are [-2.74065144 3.73471405] -4.859361590902141 ;\n", + "Epoch 500/1000, Cost: 3.0133\n", + " and the parameters are [-2.74068267 3.73464783] -4.859424797342232 ;\n", + "Epoch 500/1000, Cost: 5.0385\n", + " and the parameters are [-2.74063884 3.73459554] -4.85949337861884 ;\n", + "Epoch 500/1000, Cost: 5.6632\n", + " and the parameters are [-2.74068008 3.73443972] -4.859614000330032 ;\n", + "Epoch 500/1000, Cost: 1.3700\n", + " and the parameters are [-2.74071265 3.73446913] -4.859603750880569 ;\n", + "Epoch 500/1000, Cost: 4.9193\n", + " and the parameters are [-2.74068205 3.73455659] -4.85955960196648 ;\n", + "Epoch 500/1000, Cost: 2.7242\n", + " and the parameters are [-2.74068982 3.73454124] -4.859610839883865 ;\n", + "Epoch 500/1000, Cost: 3.7542\n", + " and the parameters are [-2.74069975 3.73460969] -4.859579974493786 ;\n", + "Epoch 500/1000, Cost: 1.5424\n", + " and the parameters are [-2.74070251 3.73469233] -4.859537750056881 ;\n", + "Epoch 500/1000, Cost: 2.3059\n", + " and the parameters are [-2.74061879 3.73477502] -4.8595592203937334 ;\n", + "Epoch 500/1000, Cost: 2.3370\n", + " and the parameters are [-2.74063498 3.73483719] -4.859539651321838 ;\n", + "Epoch 500/1000, Cost: 3.2945\n", + " and the parameters are [-2.74063179 3.73482141] -4.859574289979477 ;\n", + "Epoch 500/1000, Cost: 1.7101\n", + " and the parameters are [-2.74062553 3.73483015] -4.85960938656283 ;\n", + "Epoch 500/1000, Cost: 2.7243\n", + " and the parameters are [-2.74068298 3.73481562] -4.859625724018629 ;\n", + "Epoch 500/1000, Cost: 1.8705\n", + " and the parameters are [-2.74072713 3.73482909] -4.859613941995736 ;\n", + "Epoch 500/1000, Cost: 4.8674\n", + " and the parameters are [-2.74071583 3.73482884] -4.859639200966328 ;\n", + "Epoch 500/1000, Cost: 3.9084\n", + " and the parameters are [-2.74080875 3.73471226] -4.859688582094963 ;\n", + "Epoch 500/1000, Cost: 5.3531\n", + " and the parameters are [-2.74084199 3.73470751] -4.859678983263571 ;\n", + "Epoch 500/1000, Cost: 3.5009\n", + " and the parameters are [-2.74082861 3.73482904] -4.859619325012607 ;\n", + "Epoch 500/1000, Cost: 4.5318\n", + " and the parameters are [-2.740956 3.73476506] -4.85960914649826 ;\n", + "Epoch 500/1000, Cost: 6.3076\n", + " and the parameters are [-2.74095877 3.73468025] -4.859659521617209 ;\n", + "Epoch 500/1000, Cost: 1.8986\n", + " and the parameters are [-2.74097205 3.73471825] -4.859642327909345 ;\n", + "Epoch 500/1000, Cost: 2.1426\n", + " and the parameters are [-2.74098864 3.73471707] -4.8596696127840575 ;\n", + "Epoch 500/1000, Cost: 1.2252\n", + " and the parameters are [-2.74099833 3.73472698] -4.859686887117283 ;\n", + "Epoch 500/1000, Cost: 1.5345\n", + " and the parameters are [-2.74101945 3.73478683] -4.8596611152621705 ;\n", + "Epoch 500/1000, Cost: 3.7271\n", + " and the parameters are [-2.74100399 3.73473985] -4.859738847159705 ;\n", + "Epoch 500/1000, Cost: 5.5249\n", + " and the parameters are [-2.74108866 3.73463438] -4.859805977633304 ;\n", + "Epoch 500/1000, Cost: 3.8966\n", + " and the parameters are [-2.74104826 3.73466149] -4.859821500625945 ;\n", + "Epoch 500/1000, Cost: 2.4170\n", + " and the parameters are [-2.74110469 3.73455981] -4.859891122085304 ;\n", + "Epoch 500/1000, Cost: 2.6803\n", + " and the parameters are [-2.74109726 3.73462802] -4.859886564310134 ;\n", + "Epoch 500/1000, Cost: 2.5219\n", + " and the parameters are [-2.74112326 3.73462808] -4.859904511803319 ;\n", + "Epoch 500/1000, Cost: 2.5898\n", + " and the parameters are [-2.74116147 3.73465811] -4.859889805397341 ;\n", + "Epoch 500/1000, Cost: 1.7478\n", + " and the parameters are [-2.74114504 3.73468943] -4.8599037951277415 ;\n", + "Epoch 510/1000, Cost: 2.3467\n", + " and the parameters are [-2.755253 3.7522365] -4.885053039416407 ;\n", + "Epoch 510/1000, Cost: 5.3199\n", + " and the parameters are [-2.75529984 3.75221794] -4.885055903879598 ;\n", + "Epoch 510/1000, Cost: 1.4263\n", + " and the parameters are [-2.75531254 3.75224219] -4.885063386207797 ;\n", + "Epoch 510/1000, Cost: 4.8568\n", + " and the parameters are [-2.75539186 3.75209545] -4.885159041291151 ;\n", + "Epoch 510/1000, Cost: 3.0789\n", + " and the parameters are [-2.7553463 3.75222343] -4.885112889489235 ;\n", + "Epoch 510/1000, Cost: 2.3950\n", + " and the parameters are [-2.75532447 3.75232056] -4.885084066737069 ;\n", + "Epoch 510/1000, Cost: 4.5461\n", + " and the parameters are [-2.75528287 3.75245953] -4.885010598644774 ;\n", + "Epoch 510/1000, Cost: 2.6860\n", + " and the parameters are [-2.75529524 3.7524292 ] -4.8850516597912454 ;\n", + "Epoch 510/1000, Cost: 6.2578\n", + " and the parameters are [-2.75537828 3.75223819] -4.88517518163039 ;\n", + "Epoch 510/1000, Cost: 1.9842\n", + " and the parameters are [-2.75533879 3.75230607] -4.885171862686507 ;\n", + "Epoch 510/1000, Cost: 4.7074\n", + " and the parameters are [-2.75541804 3.75232938] -4.885139149651445 ;\n", + "Epoch 510/1000, Cost: 2.8631\n", + " and the parameters are [-2.75540953 3.75228164] -4.885205382245405 ;\n", + "Epoch 510/1000, Cost: 2.7951\n", + " and the parameters are [-2.75539564 3.75243218] -4.885133917832598 ;\n", + "Epoch 510/1000, Cost: 3.9158\n", + " and the parameters are [-2.75538655 3.75243332] -4.885171447086432 ;\n", + "Epoch 510/1000, Cost: 2.5802\n", + " and the parameters are [-2.75538659 3.75248742] -4.885171958483048 ;\n", + "Epoch 510/1000, Cost: 3.1120\n", + " and the parameters are [-2.75541359 3.75243659] -4.885236131413583 ;\n", + "Epoch 510/1000, Cost: 3.7958\n", + " and the parameters are [-2.75544552 3.75245648] -4.885224113766 ;\n", + "Epoch 510/1000, Cost: 2.5312\n", + " and the parameters are [-2.75549259 3.75234575] -4.885311995900673 ;\n", + "Epoch 510/1000, Cost: 2.3753\n", + " and the parameters are [-2.75547325 3.75242647] -4.8852983400870045 ;\n", + "Epoch 510/1000, Cost: 3.3809\n", + " and the parameters are [-2.7554809 3.7523963] -4.885358461632901 ;\n", + "Epoch 510/1000, Cost: 3.4842\n", + " and the parameters are [-2.75552617 3.75230218] -4.885434444009942 ;\n", + "Epoch 510/1000, Cost: 1.1424\n", + " and the parameters are [-2.7555774 3.7522885] -4.885442186635601 ;\n", + "Epoch 510/1000, Cost: 4.5069\n", + " and the parameters are [-2.75557433 3.75222196] -4.885518492905131 ;\n", + "Epoch 510/1000, Cost: 3.4694\n", + " and the parameters are [-2.7556131 3.75220571] -4.885547486668396 ;\n", + "Epoch 510/1000, Cost: 4.6763\n", + " and the parameters are [-2.75560006 3.752158 ] -4.885620348468084 ;\n", + "Epoch 510/1000, Cost: 1.4297\n", + " and the parameters are [-2.75562608 3.75218685] -4.885621192454598 ;\n", + "Epoch 510/1000, Cost: 1.6881\n", + " and the parameters are [-2.75563488 3.75222231] -4.88561944272591 ;\n", + "Epoch 510/1000, Cost: 3.4647\n", + " and the parameters are [-2.75574077 3.75221786] -4.885583319107512 ;\n", + "Epoch 510/1000, Cost: 1.5126\n", + " and the parameters are [-2.75577951 3.75218926] -4.885611344923551 ;\n", + "Epoch 510/1000, Cost: 2.9865\n", + " and the parameters are [-2.7557481 3.75226631] -4.885592902307568 ;\n", + "Epoch 510/1000, Cost: 2.0612\n", + " and the parameters are [-2.75569339 3.75231891] -4.8856175867316365 ;\n", + "Epoch 510/1000, Cost: 2.1503\n", + " and the parameters are [-2.75567281 3.75240947] -4.885590147718958 ;\n", + "Epoch 510/1000, Cost: 2.9387\n", + " and the parameters are [-2.75572838 3.75246447] -4.88555094550415 ;\n", + "Epoch 510/1000, Cost: 2.1850\n", + " and the parameters are [-2.75568212 3.75250637] -4.885577239582867 ;\n", + "Epoch 510/1000, Cost: 2.2500\n", + " and the parameters are [-2.75569139 3.75250816] -4.885598184275759 ;\n", + "Epoch 510/1000, Cost: 0.9631\n", + " and the parameters are [-2.75564808 3.75254378] -4.885615549211158 ;\n", + "Epoch 510/1000, Cost: 1.8330\n", + " and the parameters are [-2.75565996 3.75255185] -4.885637779153632 ;\n", + "Epoch 510/1000, Cost: 5.2325\n", + " and the parameters are [-2.75569132 3.75265298] -4.8855553046557505 ;\n", + "Epoch 510/1000, Cost: 9.3862\n", + " and the parameters are [-2.75553737 3.75275395] -4.885540870101262 ;\n", + "Epoch 510/1000, Cost: 3.9109\n", + " and the parameters are [-2.75553803 3.75263923] -4.885661875166146 ;\n", + "Epoch 510/1000, Cost: 3.9044\n", + " and the parameters are [-2.75564498 3.75252582] -4.88571296330314 ;\n", + "Epoch 510/1000, Cost: 1.1147\n", + " and the parameters are [-2.75564368 3.75256795] -4.885710933551795 ;\n", + "Epoch 510/1000, Cost: 1.1928\n", + " and the parameters are [-2.75562566 3.75261334] -4.885712025842437 ;\n", + "Epoch 510/1000, Cost: 2.4975\n", + " and the parameters are [-2.75556135 3.75267839] -4.885729587470252 ;\n", + "Epoch 510/1000, Cost: 4.2130\n", + " and the parameters are [-2.75562326 3.75260504] -4.885763034745901 ;\n", + "Epoch 510/1000, Cost: 8.0429\n", + " and the parameters are [-2.75557461 3.75263849] -4.885737486098834 ;\n", + "Epoch 510/1000, Cost: 6.6019\n", + " and the parameters are [-2.755625 3.75262901] -4.88571140938853 ;\n", + "Epoch 510/1000, Cost: 2.3854\n", + " and the parameters are [-2.75558006 3.75279368] -4.8856465111556195 ;\n", + "Epoch 510/1000, Cost: 1.9686\n", + " and the parameters are [-2.75566411 3.7527695 ] -4.88564170843675 ;\n", + "Epoch 510/1000, Cost: 2.3944\n", + " and the parameters are [-2.75566299 3.75281504] -4.885644492951656 ;\n", + "Epoch 510/1000, Cost: 3.5524\n", + " and the parameters are [-2.7556116 3.75287851] -4.885646444369027 ;\n", + "Epoch 510/1000, Cost: 2.8941\n", + " and the parameters are [-2.75563527 3.7528771 ] -4.885676005081639 ;\n", + "Epoch 510/1000, Cost: 2.0939\n", + " and the parameters are [-2.75562982 3.75295553] -4.885636130368276 ;\n", + "Epoch 510/1000, Cost: 2.8916\n", + " and the parameters are [-2.75561403 3.75297781] -4.885644023941186 ;\n", + "Epoch 510/1000, Cost: 3.6239\n", + " and the parameters are [-2.75558099 3.75297814] -4.885699736134999 ;\n", + "Epoch 510/1000, Cost: 3.4771\n", + " and the parameters are [-2.75556776 3.75296894] -4.885734118840286 ;\n", + "Epoch 510/1000, Cost: 4.7956\n", + " and the parameters are [-2.75557848 3.75295004] -4.885755516396049 ;\n", + "Epoch 510/1000, Cost: 2.9045\n", + " and the parameters are [-2.75558592 3.75299552] -4.885740104095525 ;\n", + "Epoch 510/1000, Cost: 3.5585\n", + " and the parameters are [-2.75560805 3.75294474] -4.8857799241787205 ;\n", + "Epoch 510/1000, Cost: 8.0187\n", + " and the parameters are [-2.75558847 3.7529063 ] -4.885803239805174 ;\n", + "Epoch 510/1000, Cost: 2.3097\n", + " and the parameters are [-2.75560234 3.75294302] -4.885794595155724 ;\n", + "Epoch 510/1000, Cost: 5.3048\n", + " and the parameters are [-2.75569062 3.75277967] -4.885903911681276 ;\n", + "Epoch 510/1000, Cost: 3.1828\n", + " and the parameters are [-2.75564391 3.75280089] -4.88594527032157 ;\n", + "Epoch 510/1000, Cost: 2.8612\n", + " and the parameters are [-2.75568411 3.75288764] -4.8858982281296 ;\n", + "Epoch 510/1000, Cost: 4.0243\n", + " and the parameters are [-2.75577317 3.75286424] -4.88590005359435 ;\n", + "Epoch 510/1000, Cost: 3.9525\n", + " and the parameters are [-2.75569795 3.75304515] -4.885827513668681 ;\n", + "Epoch 510/1000, Cost: 7.1299\n", + " and the parameters are [-2.75561515 3.7530996 ] -4.88584832911796 ;\n", + "Epoch 510/1000, Cost: 3.4978\n", + " and the parameters are [-2.75559813 3.75315707] -4.885840085542392 ;\n", + "Epoch 510/1000, Cost: 4.6243\n", + " and the parameters are [-2.75562414 3.75318871] -4.885803815150278 ;\n", + "Epoch 510/1000, Cost: 2.9769\n", + " and the parameters are [-2.75564519 3.75310554] -4.885887787962167 ;\n", + "Epoch 510/1000, Cost: 1.2438\n", + " and the parameters are [-2.75564121 3.75313486] -4.885895896188745 ;\n", + "Epoch 510/1000, Cost: 5.2503\n", + " and the parameters are [-2.7557468 3.75304542] -4.885915531919641 ;\n", + "Epoch 510/1000, Cost: 2.3274\n", + " and the parameters are [-2.75577756 3.75297103] -4.885983583319196 ;\n", + "Epoch 510/1000, Cost: 3.3269\n", + " and the parameters are [-2.75576249 3.75302295] -4.885996350007454 ;\n", + "Epoch 510/1000, Cost: 4.6532\n", + " and the parameters are [-2.75575461 3.75300866] -4.886022855809559 ;\n", + "Epoch 510/1000, Cost: 2.2948\n", + " and the parameters are [-2.75577269 3.75304384] -4.8860273353717645 ;\n", + "Epoch 510/1000, Cost: 4.4971\n", + " and the parameters are [-2.75576064 3.75311754] -4.88602461472559 ;\n", + "Epoch 510/1000, Cost: 2.5947\n", + " and the parameters are [-2.75576711 3.7532297 ] -4.885971086552539 ;\n", + "Epoch 510/1000, Cost: 0.7496\n", + " and the parameters are [-2.75578647 3.75321878] -4.885990481160518 ;\n", + "Epoch 510/1000, Cost: 3.9499\n", + " and the parameters are [-2.75586538 3.75313986] -4.886025195535507 ;\n", + "Epoch 510/1000, Cost: 3.9299\n", + " and the parameters are [-2.75591887 3.7531325 ] -4.88603912554914 ;\n", + "Epoch 510/1000, Cost: 7.3697\n", + " and the parameters are [-2.7558766 3.75311788] -4.8860699303637025 ;\n", + "Epoch 510/1000, Cost: 5.3942\n", + " and the parameters are [-2.75591831 3.75321765] -4.885974038706813 ;\n", + "Epoch 510/1000, Cost: 4.9961\n", + " and the parameters are [-2.75598194 3.75309367] -4.886051670156346 ;\n", + "Epoch 510/1000, Cost: 4.9468\n", + " and the parameters are [-2.75582276 3.75317115] -4.886095211057937 ;\n", + "Epoch 510/1000, Cost: 3.2040\n", + " and the parameters are [-2.75588289 3.75311011] -4.886130071972704 ;\n", + "Epoch 510/1000, Cost: 1.4170\n", + " and the parameters are [-2.75589814 3.75308777] -4.8861722568635955 ;\n", + "Epoch 510/1000, Cost: 1.8460\n", + " and the parameters are [-2.75585851 3.7530755 ] -4.886220230477286 ;\n", + "Epoch 510/1000, Cost: 2.2790\n", + " and the parameters are [-2.75589961 3.75304405] -4.8862554707677015 ;\n", + "Epoch 510/1000, Cost: 4.1995\n", + " and the parameters are [-2.75592879 3.75305632] -4.886243153873655 ;\n", + "Epoch 510/1000, Cost: 1.1371\n", + " and the parameters are [-2.75592587 3.75313374] -4.886203628088153 ;\n", + "Epoch 510/1000, Cost: 3.0895\n", + " and the parameters are [-2.75594389 3.75307759] -4.886266794322868 ;\n", + "Epoch 510/1000, Cost: 2.3969\n", + " and the parameters are [-2.75592258 3.75314715] -4.886274652644804 ;\n", + "Epoch 510/1000, Cost: 5.6349\n", + " and the parameters are [-2.75583583 3.75321834] -4.886301816244052 ;\n", + "Epoch 510/1000, Cost: 5.5171\n", + " and the parameters are [-2.75584982 3.75315543] -4.8863494127849245 ;\n", + "Epoch 510/1000, Cost: 4.2004\n", + " and the parameters are [-2.75584094 3.75318968] -4.886347205939759 ;\n", + "Epoch 510/1000, Cost: 2.3561\n", + " and the parameters are [-2.75582572 3.75322211] -4.886368008097269 ;\n", + "Epoch 510/1000, Cost: 3.3919\n", + " and the parameters are [-2.7558461 3.75335567] -4.886280946193277 ;\n", + "Epoch 510/1000, Cost: 1.8973\n", + " and the parameters are [-2.75582108 3.75340558] -4.886289937560188 ;\n", + "Epoch 510/1000, Cost: 2.8785\n", + " and the parameters are [-2.75576617 3.75346295] -4.8863099223571265 ;\n", + "Epoch 510/1000, Cost: 3.3834\n", + " and the parameters are [-2.75574278 3.75350706] -4.886325588763581 ;\n", + "Epoch 510/1000, Cost: 4.9276\n", + " and the parameters are [-2.7556871 3.75358977] -4.886310163883501 ;\n", + "Epoch 510/1000, Cost: 3.4030\n", + " and the parameters are [-2.75569897 3.75357696] -4.886337258663921 ;\n", + "Epoch 510/1000, Cost: 2.2907\n", + " and the parameters are [-2.755659 3.75356252] -4.886409367258547 ;\n", + "Epoch 510/1000, Cost: 3.1157\n", + " and the parameters are [-2.75566387 3.75360297] -4.88641702757527 ;\n", + "Epoch 510/1000, Cost: 1.4028\n", + " and the parameters are [-2.75567354 3.75363154] -4.886417496008066 ;\n", + "Epoch 510/1000, Cost: 3.9290\n", + " and the parameters are [-2.75573753 3.75358109] -4.886452367317983 ;\n", + "Epoch 510/1000, Cost: 2.3153\n", + " and the parameters are [-2.75574896 3.75357008] -4.886490004576543 ;\n", + "Epoch 510/1000, Cost: 3.7803\n", + " and the parameters are [-2.75579182 3.75365937] -4.886406140085382 ;\n", + "Epoch 510/1000, Cost: 5.6444\n", + " and the parameters are [-2.75579706 3.7537978 ] -4.886316101940078 ;\n", + "Epoch 510/1000, Cost: 3.1228\n", + " and the parameters are [-2.75578325 3.7538095 ] -4.886347862568847 ;\n", + "Epoch 510/1000, Cost: 1.4461\n", + " and the parameters are [-2.75578783 3.75383402] -4.88636136852402 ;\n", + "Epoch 510/1000, Cost: 2.4982\n", + " and the parameters are [-2.75585816 3.75381117] -4.886366916449872 ;\n", + "Epoch 510/1000, Cost: 3.2276\n", + " and the parameters are [-2.75589346 3.75382779] -4.8863692663146825 ;\n", + "Epoch 510/1000, Cost: 2.7966\n", + " and the parameters are [-2.75595055 3.75376956] -4.886407233265973 ;\n", + "Epoch 510/1000, Cost: 0.7716\n", + " and the parameters are [-2.75596666 3.75378912] -4.886406551793485 ;\n", + "Epoch 510/1000, Cost: 2.5225\n", + " and the parameters are [-2.75592754 3.75389051] -4.886384809188329 ;\n", + "Epoch 510/1000, Cost: 1.4756\n", + " and the parameters are [-2.75593497 3.75387228] -4.886429726618642 ;\n", + "Epoch 510/1000, Cost: 3.4752\n", + " and the parameters are [-2.7558922 3.75400593] -4.886369215689922 ;\n", + "Epoch 510/1000, Cost: 1.4894\n", + " and the parameters are [-2.75591772 3.75402911] -4.886366741419373 ;\n", + "Epoch 510/1000, Cost: 2.5017\n", + " and the parameters are [-2.75595987 3.75409333] -4.88631523833752 ;\n", + "Epoch 510/1000, Cost: 3.7501\n", + " and the parameters are [-2.7560554 3.75404395] -4.886340232326988 ;\n", + "Epoch 510/1000, Cost: 1.4312\n", + " and the parameters are [-2.75605173 3.75410913] -4.886325057280168 ;\n", + "Epoch 510/1000, Cost: 7.5516\n", + " and the parameters are [-2.75604213 3.75403903] -4.886406172867864 ;\n", + "Epoch 510/1000, Cost: 2.9358\n", + " and the parameters are [-2.75608333 3.7539722 ] -4.88645506858528 ;\n", + "Epoch 510/1000, Cost: 1.3658\n", + " and the parameters are [-2.75610732 3.75394258] -4.886491874865484 ;\n", + "Epoch 510/1000, Cost: 2.2399\n", + " and the parameters are [-2.75611523 3.7539834 ] -4.88649918645356 ;\n", + "Epoch 510/1000, Cost: 1.0416\n", + " and the parameters are [-2.75611087 3.7539877 ] -4.886525246045075 ;\n", + "Epoch 510/1000, Cost: 2.6711\n", + " and the parameters are [-2.75610279 3.75392341] -4.886596516703792 ;\n", + "Epoch 510/1000, Cost: 1.3441\n", + " and the parameters are [-2.75609685 3.75395483] -4.886606933265348 ;\n", + "Epoch 510/1000, Cost: 3.7208\n", + " and the parameters are [-2.75606871 3.75401109] -4.8865965709164625 ;\n", + "Epoch 510/1000, Cost: 3.4003\n", + " and the parameters are [-2.75604018 3.75401992] -4.886622983117778 ;\n", + "Epoch 510/1000, Cost: 3.4291\n", + " and the parameters are [-2.75607856 3.75400957] -4.886637371109171 ;\n", + "Epoch 510/1000, Cost: 2.9147\n", + " and the parameters are [-2.7560983 3.75404851] -4.886632019802263 ;\n", + "Epoch 510/1000, Cost: 3.0211\n", + " and the parameters are [-2.7561668 3.75400992] -4.886656618170615 ;\n", + "Epoch 510/1000, Cost: 5.4228\n", + " and the parameters are [-2.75618891 3.75391107] -4.886716667062544 ;\n", + "Epoch 510/1000, Cost: 5.0581\n", + " and the parameters are [-2.7562164 3.75392304] -4.886693673482762 ;\n", + "Epoch 510/1000, Cost: 2.9418\n", + " and the parameters are [-2.75618531 3.75405319] -4.886644987319734 ;\n", + "Epoch 510/1000, Cost: 4.8116\n", + " and the parameters are [-2.75617777 3.75395249] -4.886733577764431 ;\n", + "Epoch 510/1000, Cost: 4.8934\n", + " and the parameters are [-2.75621915 3.75377759] -4.886854922965403 ;\n", + "Epoch 510/1000, Cost: 2.5056\n", + " and the parameters are [-2.75631062 3.75371283] -4.8868868348796655 ;\n", + "Epoch 510/1000, Cost: 3.1746\n", + " and the parameters are [-2.7563834 3.75367556] -4.8869086572083695 ;\n", + "Epoch 510/1000, Cost: 3.8242\n", + " and the parameters are [-2.75637365 3.75375999] -4.886870921817801 ;\n", + "Epoch 510/1000, Cost: 3.3215\n", + " and the parameters are [-2.75641887 3.75377682] -4.886851991637048 ;\n", + "Epoch 510/1000, Cost: 3.5296\n", + " and the parameters are [-2.75647455 3.75364578] -4.886935346944064 ;\n", + "Epoch 510/1000, Cost: 2.4686\n", + " and the parameters are [-2.75652201 3.75365553] -4.886914306797232 ;\n", + "Epoch 510/1000, Cost: 2.9621\n", + " and the parameters are [-2.75649697 3.75359439] -4.886994478386365 ;\n", + "Epoch 510/1000, Cost: 4.5066\n", + " and the parameters are [-2.75646162 3.75368614] -4.886945963923448 ;\n", + "Epoch 510/1000, Cost: 4.7556\n", + " and the parameters are [-2.75655041 3.75358314] -4.886999872617462 ;\n", + "Epoch 510/1000, Cost: 5.9585\n", + " and the parameters are [-2.75656752 3.75344551] -4.88710151474287 ;\n", + "Epoch 510/1000, Cost: 3.9580\n", + " and the parameters are [-2.75660409 3.75333726] -4.887167702704514 ;\n", + "Epoch 510/1000, Cost: 6.3799\n", + " and the parameters are [-2.7566181 3.75322789] -4.8872497708435985 ;\n", + "Epoch 510/1000, Cost: 2.4852\n", + " and the parameters are [-2.75668578 3.75318714] -4.887283716179951 ;\n", + "Epoch 510/1000, Cost: 0.6124\n", + " and the parameters are [-2.75669784 3.75321741] -4.8872735796500235 ;\n", + "Epoch 510/1000, Cost: 2.9589\n", + " and the parameters are [-2.75670784 3.75322948] -4.887293997681541 ;\n", + "Epoch 510/1000, Cost: 2.9939\n", + " and the parameters are [-2.75669817 3.75330653] -4.887266115301644 ;\n", + "Epoch 510/1000, Cost: 1.7959\n", + " and the parameters are [-2.75669739 3.75337698] -4.887250367109121 ;\n", + "Epoch 510/1000, Cost: 4.5731\n", + " and the parameters are [-2.75667244 3.75344508] -4.887247667910469 ;\n", + "Epoch 510/1000, Cost: 10.9612\n", + " and the parameters are [-2.75649437 3.75363907] -4.887146808410048 ;\n", + "Epoch 510/1000, Cost: 4.0668\n", + " and the parameters are [-2.75648178 3.75372857] -4.887117154853841 ;\n", + "Epoch 510/1000, Cost: 3.6219\n", + " and the parameters are [-2.75645936 3.75369664] -4.887190245202167 ;\n", + "Epoch 510/1000, Cost: 2.8621\n", + " and the parameters are [-2.75641659 3.75369904] -4.887241678751378 ;\n", + "Epoch 510/1000, Cost: 2.7798\n", + " and the parameters are [-2.75636294 3.75373558] -4.887276986230219 ;\n", + "Epoch 510/1000, Cost: 2.3260\n", + " and the parameters are [-2.75636392 3.75380693] -4.887240113608496 ;\n", + "Epoch 510/1000, Cost: 2.9369\n", + " and the parameters are [-2.75639217 3.75388686] -4.88719298757921 ;\n", + "Epoch 510/1000, Cost: 3.9226\n", + " and the parameters are [-2.75641886 3.75381021] -4.887270856033409 ;\n", + "Epoch 510/1000, Cost: 2.6724\n", + " and the parameters are [-2.75647272 3.75379095] -4.887277292136794 ;\n", + "Epoch 510/1000, Cost: 2.9485\n", + " and the parameters are [-2.75647807 3.75386238] -4.8872558601239895 ;\n", + "Epoch 510/1000, Cost: 0.8364\n", + " and the parameters are [-2.75648131 3.75390785] -4.8872451120633436 ;\n", + "Epoch 510/1000, Cost: 1.8899\n", + " and the parameters are [-2.75648181 3.75391316] -4.887270567398889 ;\n", + "Epoch 510/1000, Cost: 2.5709\n", + " and the parameters are [-2.75646111 3.75398481] -4.887271556123187 ;\n", + "Epoch 510/1000, Cost: 3.8811\n", + " and the parameters are [-2.7565328 3.75399852] -4.887241113277632 ;\n", + "Epoch 510/1000, Cost: 2.2466\n", + " and the parameters are [-2.7565542 3.75394984] -4.887299285236119 ;\n", + "Epoch 510/1000, Cost: 4.2221\n", + " and the parameters are [-2.75654682 3.75398505] -4.887298573887308 ;\n", + "Epoch 510/1000, Cost: 4.3028\n", + " and the parameters are [-2.75654899 3.7539803 ] -4.8873343932315585 ;\n", + "Epoch 510/1000, Cost: 3.0490\n", + " and the parameters are [-2.75654542 3.754014 ] -4.8873515810378345 ;\n", + "Epoch 510/1000, Cost: 2.2754\n", + " and the parameters are [-2.75656989 3.75395859] -4.887398867443362 ;\n", + "Epoch 510/1000, Cost: 2.4896\n", + " and the parameters are [-2.75662217 3.75389749] -4.887450520226735 ;\n", + "Epoch 510/1000, Cost: 3.0118\n", + " and the parameters are [-2.75666093 3.75383885] -4.887507600149246 ;\n", + "Epoch 510/1000, Cost: 3.6795\n", + " and the parameters are [-2.75670515 3.75376231] -4.887565626255537 ;\n", + "Epoch 510/1000, Cost: 2.7755\n", + " and the parameters are [-2.75676108 3.75376595] -4.887563950419242 ;\n", + "Epoch 510/1000, Cost: 2.3451\n", + " and the parameters are [-2.75678738 3.75380268] -4.887560032928041 ;\n", + "Epoch 510/1000, Cost: 2.3933\n", + " and the parameters are [-2.7568258 3.7538146] -4.887540832598267 ;\n", + "Epoch 510/1000, Cost: 3.6623\n", + " and the parameters are [-2.75690955 3.75373453] -4.887593637351523 ;\n", + "Epoch 510/1000, Cost: 2.5861\n", + " and the parameters are [-2.75690948 3.75379842] -4.887580971866077 ;\n", + "Epoch 510/1000, Cost: 1.8448\n", + " and the parameters are [-2.75687362 3.75381563] -4.887620231340155 ;\n", + "Epoch 510/1000, Cost: 1.9135\n", + " and the parameters are [-2.75683642 3.75390922] -4.887599016361678 ;\n", + "Epoch 510/1000, Cost: 5.0242\n", + " and the parameters are [-2.7567518 3.75394543] -4.887646756430955 ;\n", + "Epoch 510/1000, Cost: 3.8428\n", + " and the parameters are [-2.75678989 3.75389511] -4.887687564166593 ;\n", + "Epoch 510/1000, Cost: 1.4967\n", + " and the parameters are [-2.75677071 3.75396973] -4.887669427179984 ;\n", + "Epoch 510/1000, Cost: 5.4533\n", + " and the parameters are [-2.75676673 3.75389093] -4.88773590924652 ;\n", + "Epoch 510/1000, Cost: 4.5686\n", + " and the parameters are [-2.75671688 3.75389899] -4.887787061186187 ;\n", + "Epoch 510/1000, Cost: 2.6150\n", + " and the parameters are [-2.75680539 3.75388052] -4.887784524347326 ;\n", + "Epoch 510/1000, Cost: 5.2049\n", + " and the parameters are [-2.75683526 3.75398286] -4.8877087848426966 ;\n", + "Epoch 510/1000, Cost: 1.6621\n", + " and the parameters are [-2.75679465 3.75402359] -4.887735625418263 ;\n", + "Epoch 510/1000, Cost: 2.9853\n", + " and the parameters are [-2.75674184 3.75406912] -4.887761778974865 ;\n", + "Epoch 510/1000, Cost: 3.0457\n", + " and the parameters are [-2.7567449 3.75420157] -4.887686073468097 ;\n", + "Epoch 510/1000, Cost: 1.4300\n", + " and the parameters are [-2.75672279 3.75424165] -4.887700408887029 ;\n", + "Epoch 510/1000, Cost: 3.3298\n", + " and the parameters are [-2.75677942 3.75417235] -4.887766936943551 ;\n", + "Epoch 510/1000, Cost: 2.3703\n", + " and the parameters are [-2.75680479 3.75420231] -4.887764225777329 ;\n", + "Epoch 520/1000, Cost: 2.1698\n", + " and the parameters are [-2.77067328 3.77139214] -4.912481110687163 ;\n", + "Epoch 520/1000, Cost: 3.4532\n", + " and the parameters are [-2.77068072 3.77139315] -4.912513923150959 ;\n", + "Epoch 520/1000, Cost: 1.1397\n", + " and the parameters are [-2.77069187 3.77140373] -4.912526908358688 ;\n", + "Epoch 520/1000, Cost: 10.6091\n", + " and the parameters are [-2.77083304 3.77127388] -4.912529804067262 ;\n", + "Epoch 520/1000, Cost: 4.1880\n", + " and the parameters are [-2.77082423 3.77136999] -4.912492534136365 ;\n", + "Epoch 520/1000, Cost: 1.7107\n", + " and the parameters are [-2.77079562 3.77144992] -4.9124647795153615 ;\n", + "Epoch 520/1000, Cost: 1.7168\n", + " and the parameters are [-2.7707952 3.77148542] -4.9124668687206325 ;\n", + "Epoch 520/1000, Cost: 3.2615\n", + " and the parameters are [-2.7708268 3.77149763] -4.912481148445817 ;\n", + "Epoch 520/1000, Cost: 3.5560\n", + " and the parameters are [-2.77088385 3.7714808 ] -4.9124906502963634 ;\n", + "Epoch 520/1000, Cost: 5.4078\n", + " and the parameters are [-2.77084381 3.77154773] -4.912475255607935 ;\n", + "Epoch 520/1000, Cost: 2.8962\n", + " and the parameters are [-2.77083241 3.77154439] -4.912517835627104 ;\n", + "Epoch 520/1000, Cost: 1.6413\n", + " and the parameters are [-2.77080008 3.7716399 ] -4.912496880206015 ;\n", + "Epoch 520/1000, Cost: 3.6918\n", + " and the parameters are [-2.7708375 3.7715391] -4.912551250659443 ;\n", + "Epoch 520/1000, Cost: 2.4193\n", + " and the parameters are [-2.77085123 3.77152267] -4.9125811065839455 ;\n", + "Epoch 520/1000, Cost: 5.6856\n", + " and the parameters are [-2.77082556 3.77159333] -4.912562600047835 ;\n", + "Epoch 520/1000, Cost: 3.4098\n", + " and the parameters are [-2.77075601 3.77165945] -4.912582957540984 ;\n", + "Epoch 520/1000, Cost: 2.8779\n", + " and the parameters are [-2.77074586 3.77158357] -4.9126681809430695 ;\n", + "Epoch 520/1000, Cost: 2.6139\n", + " and the parameters are [-2.77077488 3.77157205] -4.912696669155978 ;\n", + "Epoch 520/1000, Cost: 3.1236\n", + " and the parameters are [-2.77072704 3.77168543] -4.912674793228776 ;\n", + "Epoch 520/1000, Cost: 4.3445\n", + " and the parameters are [-2.77077977 3.77169663] -4.9126615332521535 ;\n", + "Epoch 520/1000, Cost: 4.5164\n", + " and the parameters are [-2.77068765 3.77178963] -4.912649488010454 ;\n", + "Epoch 520/1000, Cost: 1.9179\n", + " and the parameters are [-2.77069297 3.77183868] -4.912645597750537 ;\n", + "Epoch 520/1000, Cost: 2.8747\n", + " and the parameters are [-2.77069165 3.77182592] -4.912688628292575 ;\n", + "Epoch 520/1000, Cost: 3.8900\n", + " and the parameters are [-2.77068147 3.77189231] -4.912669627216114 ;\n", + "Epoch 520/1000, Cost: 3.1281\n", + " and the parameters are [-2.77077166 3.77179935] -4.912706151556024 ;\n", + "Epoch 520/1000, Cost: 2.3081\n", + " and the parameters are [-2.77078032 3.77180567] -4.912739302635956 ;\n", + "Epoch 520/1000, Cost: 4.3243\n", + " and the parameters are [-2.77085932 3.77183687] -4.912702803679437 ;\n", + "Epoch 520/1000, Cost: 3.0470\n", + " and the parameters are [-2.77090169 3.77184845] -4.912706966510312 ;\n", + "Epoch 520/1000, Cost: 3.2188\n", + " and the parameters are [-2.77093708 3.77182982] -4.912737183880076 ;\n", + "Epoch 520/1000, Cost: 4.4780\n", + " and the parameters are [-2.77098454 3.77164987] -4.912863559446447 ;\n", + "Epoch 520/1000, Cost: 1.8537\n", + " and the parameters are [-2.7709655 3.77168068] -4.9128855965220986 ;\n", + "Epoch 520/1000, Cost: 2.0568\n", + " and the parameters are [-2.77103223 3.77168239] -4.912880949055071 ;\n", + "Epoch 520/1000, Cost: 1.7214\n", + " and the parameters are [-2.77105134 3.77163202] -4.912942228375992 ;\n", + "Epoch 520/1000, Cost: 4.4511\n", + " and the parameters are [-2.77106181 3.77162004] -4.912975812000369 ;\n", + "Epoch 520/1000, Cost: 3.1628\n", + " and the parameters are [-2.77112715 3.7716026 ] -4.912982497443604 ;\n", + "Epoch 520/1000, Cost: 5.6484\n", + " and the parameters are [-2.77119532 3.77164335] -4.912933351451552 ;\n", + "Epoch 520/1000, Cost: 4.3106\n", + " and the parameters are [-2.77130617 3.77149338] -4.912995329165229 ;\n", + "Epoch 520/1000, Cost: 6.4782\n", + " and the parameters are [-2.77130491 3.77138412] -4.913067256240911 ;\n", + "Epoch 520/1000, Cost: 2.7823\n", + " and the parameters are [-2.77129363 3.77149905] -4.913033129850107 ;\n", + "Epoch 520/1000, Cost: 4.4204\n", + " and the parameters are [-2.77123175 3.7714226 ] -4.913140029985517 ;\n", + "Epoch 520/1000, Cost: 0.8530\n", + " and the parameters are [-2.77122159 3.77144917] -4.913147115570525 ;\n", + "Epoch 520/1000, Cost: 4.8789\n", + " and the parameters are [-2.77116184 3.7715005 ] -4.9131533268938155 ;\n", + "Epoch 520/1000, Cost: 6.2318\n", + " and the parameters are [-2.77110028 3.77151451] -4.913178824425152 ;\n", + "Epoch 520/1000, Cost: 3.0104\n", + " and the parameters are [-2.77108022 3.77162423] -4.913148104984058 ;\n", + "Epoch 520/1000, Cost: 2.8139\n", + " and the parameters are [-2.77110511 3.77173898] -4.913069736429005 ;\n", + "Epoch 520/1000, Cost: 3.1207\n", + " and the parameters are [-2.77107581 3.77186832] -4.913013089148979 ;\n", + "Epoch 520/1000, Cost: 5.5716\n", + " and the parameters are [-2.77111654 3.7717068 ] -4.913113335690243 ;\n", + "Epoch 520/1000, Cost: 1.6427\n", + " and the parameters are [-2.77117504 3.77168681] -4.913122030172532 ;\n", + "Epoch 520/1000, Cost: 3.2316\n", + " and the parameters are [-2.77124688 3.77162363] -4.913160347990227 ;\n", + "Epoch 520/1000, Cost: 1.0903\n", + " and the parameters are [-2.77125613 3.77164291] -4.913165828634838 ;\n", + "Epoch 520/1000, Cost: 2.5337\n", + " and the parameters are [-2.77127357 3.77169325] -4.913153450571772 ;\n", + "Epoch 520/1000, Cost: 2.2542\n", + " and the parameters are [-2.77128981 3.77170976] -4.913164195251309 ;\n", + "Epoch 520/1000, Cost: 3.1862\n", + " and the parameters are [-2.77131486 3.77162605] -4.91323896950262 ;\n", + "Epoch 520/1000, Cost: 1.1485\n", + " and the parameters are [-2.7713213 3.77165205] -4.9132411749347895 ;\n", + "Epoch 520/1000, Cost: 4.2465\n", + " and the parameters are [-2.771327 3.77163675] -4.9132634125872405 ;\n", + "Epoch 520/1000, Cost: 4.3522\n", + " and the parameters are [-2.77127631 3.77169942] -4.913239408045867 ;\n", + "Epoch 520/1000, Cost: 5.9021\n", + " and the parameters are [-2.77130373 3.77163431] -4.913263242789602 ;\n", + "Epoch 520/1000, Cost: 2.6174\n", + " and the parameters are [-2.77127637 3.77166928] -4.913274892741872 ;\n", + "Epoch 520/1000, Cost: 2.3769\n", + " and the parameters are [-2.77128995 3.7717069 ] -4.913274142453269 ;\n", + "Epoch 520/1000, Cost: 3.2092\n", + " and the parameters are [-2.77122391 3.77174268] -4.913310212448105 ;\n", + "Epoch 520/1000, Cost: 7.2051\n", + " and the parameters are [-2.77122562 3.77159247] -4.913427469877628 ;\n", + "Epoch 520/1000, Cost: 3.2416\n", + " and the parameters are [-2.77130693 3.77161887] -4.913400913700757 ;\n", + "Epoch 520/1000, Cost: 3.5371\n", + " and the parameters are [-2.77127775 3.7716738 ] -4.9134242274975 ;\n", + "Epoch 520/1000, Cost: 2.3231\n", + " and the parameters are [-2.77126226 3.77182265] -4.91334554137778 ;\n", + "Epoch 520/1000, Cost: 2.3338\n", + " and the parameters are [-2.77132926 3.77179929] -4.913353176345925 ;\n", + "Epoch 520/1000, Cost: 5.2256\n", + " and the parameters are [-2.77136168 3.77177273] -4.913355026855854 ;\n", + "Epoch 520/1000, Cost: 3.8938\n", + " and the parameters are [-2.77138323 3.77180904] -4.91334050741871 ;\n", + "Epoch 520/1000, Cost: 2.4073\n", + " and the parameters are [-2.77136473 3.77192021] -4.913303642221888 ;\n", + "Epoch 520/1000, Cost: 3.9558\n", + " and the parameters are [-2.7713059 3.77203977] -4.913290581922106 ;\n", + "Epoch 520/1000, Cost: 0.8596\n", + " and the parameters are [-2.77130422 3.77209201] -4.913274394898576 ;\n", + "Epoch 520/1000, Cost: 5.6124\n", + " and the parameters are [-2.77138509 3.77199508] -4.913325507139841 ;\n", + "Epoch 520/1000, Cost: 2.2996\n", + " and the parameters are [-2.77136235 3.77204767] -4.913333785380912 ;\n", + "Epoch 520/1000, Cost: 2.3413\n", + " and the parameters are [-2.77137126 3.77216177] -4.913269059099225 ;\n", + "Epoch 520/1000, Cost: 2.7705\n", + " and the parameters are [-2.77134956 3.77225748] -4.913238748754495 ;\n", + "Epoch 520/1000, Cost: 1.8147\n", + " and the parameters are [-2.7713517 3.77229592] -4.913247190139386 ;\n", + "Epoch 520/1000, Cost: 4.0928\n", + " and the parameters are [-2.77138674 3.77234556] -4.913218472475921 ;\n", + "Epoch 520/1000, Cost: 3.0656\n", + " and the parameters are [-2.77126757 3.77240148] -4.91327291301867 ;\n", + "Epoch 520/1000, Cost: 6.4987\n", + " and the parameters are [-2.77121433 3.77237279] -4.913341936564047 ;\n", + "Epoch 520/1000, Cost: 3.2333\n", + " and the parameters are [-2.77125648 3.77229611] -4.913408044237235 ;\n", + "Epoch 520/1000, Cost: 9.0324\n", + " and the parameters are [-2.77122015 3.77218816] -4.913499727854881 ;\n", + "Epoch 520/1000, Cost: 5.0278\n", + " and the parameters are [-2.77115263 3.77219945] -4.9135305547832235 ;\n", + "Epoch 520/1000, Cost: 1.5092\n", + " and the parameters are [-2.77110394 3.77230827] -4.913494602100089 ;\n", + "Epoch 520/1000, Cost: 2.5437\n", + " and the parameters are [-2.77109666 3.77241934] -4.913435393841631 ;\n", + "Epoch 520/1000, Cost: 2.0364\n", + " and the parameters are [-2.77109764 3.77239663] -4.913487763200839 ;\n", + "Epoch 520/1000, Cost: 3.5547\n", + " and the parameters are [-2.77117046 3.772444 ] -4.9134311660740755 ;\n", + "Epoch 520/1000, Cost: 1.2326\n", + " and the parameters are [-2.77119683 3.77241957] -4.913464249891895 ;\n", + "Epoch 520/1000, Cost: 0.9070\n", + " and the parameters are [-2.77120587 3.77245247] -4.913455165872507 ;\n", + "Epoch 520/1000, Cost: 1.7714\n", + " and the parameters are [-2.77128676 3.77245064] -4.9134374782100245 ;\n", + "Epoch 520/1000, Cost: 1.7014\n", + " and the parameters are [-2.77126456 3.77249344] -4.913441507999727 ;\n", + "Epoch 520/1000, Cost: 2.1893\n", + " and the parameters are [-2.77132988 3.77254062] -4.913406593100689 ;\n", + "Epoch 520/1000, Cost: 4.4649\n", + " and the parameters are [-2.77133961 3.77246197] -4.9134782834536415 ;\n", + "Epoch 520/1000, Cost: 3.3076\n", + " and the parameters are [-2.77131437 3.77247125] -4.91352594740152 ;\n", + "Epoch 520/1000, Cost: 2.0050\n", + " and the parameters are [-2.77130846 3.77249207] -4.913550373290938 ;\n", + "Epoch 520/1000, Cost: 3.7996\n", + " and the parameters are [-2.77129733 3.77258299] -4.913524810017263 ;\n", + "Epoch 520/1000, Cost: 3.9394\n", + " and the parameters are [-2.77138791 3.77244087] -4.913596048541185 ;\n", + "Epoch 520/1000, Cost: 4.3636\n", + " and the parameters are [-2.77136805 3.77239116] -4.913653983248282 ;\n", + "Epoch 520/1000, Cost: 4.3521\n", + " and the parameters are [-2.77145118 3.77235149] -4.913664264416101 ;\n", + "Epoch 520/1000, Cost: 1.5691\n", + " and the parameters are [-2.77144171 3.77240963] -4.913655440232874 ;\n", + "Epoch 520/1000, Cost: 2.4001\n", + " and the parameters are [-2.77150455 3.77237981] -4.913672361092506 ;\n", + "Epoch 520/1000, Cost: 4.9883\n", + " and the parameters are [-2.77145844 3.77254456] -4.913597471972269 ;\n", + "Epoch 520/1000, Cost: 1.4129\n", + " and the parameters are [-2.7714682 3.77259332] -4.913584179108611 ;\n", + "Epoch 520/1000, Cost: 1.9381\n", + " and the parameters are [-2.77145819 3.77264953] -4.913588428083708 ;\n", + "Epoch 520/1000, Cost: 4.3314\n", + " and the parameters are [-2.77150204 3.77258842] -4.913611843392421 ;\n", + "Epoch 520/1000, Cost: 2.2548\n", + " and the parameters are [-2.77154038 3.77259309] -4.91361998162513 ;\n", + "Epoch 520/1000, Cost: 0.9160\n", + " and the parameters are [-2.77155239 3.77259515] -4.913637301450182 ;\n", + "Epoch 520/1000, Cost: 3.0264\n", + " and the parameters are [-2.7715647 3.77264417] -4.913620392488546 ;\n", + "Epoch 520/1000, Cost: 6.0081\n", + " and the parameters are [-2.77157 3.77246442] -4.913762551954212 ;\n", + "Epoch 520/1000, Cost: 7.1676\n", + " and the parameters are [-2.7715342 3.77250053] -4.913724632822636 ;\n", + "Epoch 520/1000, Cost: 4.4172\n", + " and the parameters are [-2.77154192 3.77252883] -4.9137207377306655 ;\n", + "Epoch 520/1000, Cost: 2.3007\n", + " and the parameters are [-2.7715025 3.7725806] -4.913730824335818 ;\n", + "Epoch 520/1000, Cost: 3.7616\n", + " and the parameters are [-2.77164483 3.77244005] -4.913774090432936 ;\n", + "Epoch 520/1000, Cost: 1.7353\n", + " and the parameters are [-2.77168247 3.7724448 ] -4.913779488091842 ;\n", + "Epoch 520/1000, Cost: 1.4019\n", + " and the parameters are [-2.77165242 3.77249038] -4.913791622772768 ;\n", + "Epoch 520/1000, Cost: 2.6546\n", + " and the parameters are [-2.77169971 3.77253842] -4.913763672566212 ;\n", + "Epoch 520/1000, Cost: 1.6788\n", + " and the parameters are [-2.77169167 3.77260379] -4.913754494527178 ;\n", + "Epoch 520/1000, Cost: 3.5074\n", + " and the parameters are [-2.77172935 3.77246526] -4.913850427130779 ;\n", + "Epoch 520/1000, Cost: 2.3469\n", + " and the parameters are [-2.77175656 3.77243511] -4.913884288866287 ;\n", + "Epoch 520/1000, Cost: 4.3385\n", + " and the parameters are [-2.77177605 3.77238003] -4.913924347402115 ;\n", + "Epoch 520/1000, Cost: 1.4565\n", + " and the parameters are [-2.77178699 3.77240819] -4.9139278192186735 ;\n", + "Epoch 520/1000, Cost: 3.8049\n", + " and the parameters are [-2.77175622 3.7723425 ] -4.914020270744714 ;\n", + "Epoch 520/1000, Cost: 7.1896\n", + " and the parameters are [-2.77182773 3.77226139] -4.9140546775338985 ;\n", + "Epoch 520/1000, Cost: 4.2544\n", + " and the parameters are [-2.77177 3.77230898] -4.9140822230228105 ;\n", + "Epoch 520/1000, Cost: 1.7358\n", + " and the parameters are [-2.77180382 3.77230576] -4.914100223168053 ;\n", + "Epoch 520/1000, Cost: 1.4190\n", + " and the parameters are [-2.77180384 3.77236818] -4.914088694596064 ;\n", + "Epoch 520/1000, Cost: 2.0419\n", + " and the parameters are [-2.77182306 3.77238848] -4.9140912346121 ;\n", + "Epoch 520/1000, Cost: 3.8809\n", + " and the parameters are [-2.77184815 3.77246034] -4.9140438538629505 ;\n", + "Epoch 520/1000, Cost: 4.5900\n", + " and the parameters are [-2.7718396 3.77241908] -4.9140999256703655 ;\n", + "Epoch 520/1000, Cost: 2.6377\n", + " and the parameters are [-2.77184102 3.77240025] -4.914148043187033 ;\n", + "Epoch 520/1000, Cost: 1.7975\n", + " and the parameters are [-2.77182875 3.77238112] -4.914202169301936 ;\n", + "Epoch 520/1000, Cost: 3.0584\n", + " and the parameters are [-2.7718113 3.77247468] -4.914158949833767 ;\n", + "Epoch 520/1000, Cost: 2.7560\n", + " and the parameters are [-2.77181677 3.77249893] -4.914175690793433 ;\n", + "Epoch 520/1000, Cost: 5.1688\n", + " and the parameters are [-2.77172021 3.77242331] -4.914284601925595 ;\n", + "Epoch 520/1000, Cost: 2.8542\n", + " and the parameters are [-2.77178661 3.77236602] -4.9143287504553115 ;\n", + "Epoch 520/1000, Cost: 1.5653\n", + " and the parameters are [-2.77179409 3.7723778 ] -4.914346097938461 ;\n", + "Epoch 520/1000, Cost: 1.1801\n", + " and the parameters are [-2.77179199 3.77239017] -4.914365063169426 ;\n", + "Epoch 520/1000, Cost: 4.2052\n", + " and the parameters are [-2.77179095 3.77245941] -4.914335618939757 ;\n", + "Epoch 520/1000, Cost: 2.0610\n", + " and the parameters are [-2.77175331 3.77253073] -4.914328531918544 ;\n", + "Epoch 520/1000, Cost: 2.0890\n", + " and the parameters are [-2.77178892 3.77244982] -4.9143835792891 ;\n", + "Epoch 520/1000, Cost: 4.4251\n", + " and the parameters are [-2.77167861 3.77256037] -4.9143704707069915 ;\n", + "Epoch 520/1000, Cost: 3.3522\n", + " and the parameters are [-2.77167911 3.77267081] -4.914311520950108 ;\n", + "Epoch 520/1000, Cost: 3.3354\n", + " and the parameters are [-2.77167575 3.77279134] -4.914238844413411 ;\n", + "Epoch 520/1000, Cost: 4.6746\n", + " and the parameters are [-2.77172565 3.77275377] -4.914258349750391 ;\n", + "Epoch 520/1000, Cost: 8.8525\n", + " and the parameters are [-2.77182037 3.77270021] -4.914229541699984 ;\n", + "Epoch 520/1000, Cost: 2.2277\n", + " and the parameters are [-2.77188125 3.77267614] -4.914235951210241 ;\n", + "Epoch 520/1000, Cost: 2.1969\n", + " and the parameters are [-2.77186959 3.77269672] -4.91425875496616 ;\n", + "Epoch 520/1000, Cost: 2.3359\n", + " and the parameters are [-2.77187901 3.77277399] -4.914233779822804 ;\n", + "Epoch 520/1000, Cost: 2.9088\n", + " and the parameters are [-2.77181511 3.77278047] -4.914293975216835 ;\n", + "Epoch 520/1000, Cost: 6.0375\n", + " and the parameters are [-2.77176837 3.77286819] -4.914254596489176 ;\n", + "Epoch 520/1000, Cost: 3.1867\n", + " and the parameters are [-2.77173651 3.77287897] -4.914294402317245 ;\n", + "Epoch 520/1000, Cost: 2.5506\n", + " and the parameters are [-2.77173703 3.77292789] -4.9142865426751285 ;\n", + "Epoch 520/1000, Cost: 3.9800\n", + " and the parameters are [-2.77174859 3.77289297] -4.914341675758352 ;\n", + "Epoch 520/1000, Cost: 3.7958\n", + " and the parameters are [-2.77172541 3.77300672] -4.914312416488614 ;\n", + "Epoch 520/1000, Cost: 1.2130\n", + " and the parameters are [-2.77173461 3.77300684] -4.914333588944034 ;\n", + "Epoch 520/1000, Cost: 5.9773\n", + " and the parameters are [-2.77182042 3.77286247] -4.914420109761728 ;\n", + "Epoch 520/1000, Cost: 3.4397\n", + " and the parameters are [-2.77181942 3.77291102] -4.914430079964163 ;\n", + "Epoch 520/1000, Cost: 2.1229\n", + " and the parameters are [-2.77183851 3.77289657] -4.914457796319479 ;\n", + "Epoch 520/1000, Cost: 4.3924\n", + " and the parameters are [-2.77190917 3.7728334 ] -4.914497662015082 ;\n", + "Epoch 520/1000, Cost: 3.3217\n", + " and the parameters are [-2.77194717 3.77290354] -4.9144578001367085 ;\n", + "Epoch 520/1000, Cost: 3.6304\n", + " and the parameters are [-2.77200191 3.77273899] -4.914570435430248 ;\n", + "Epoch 520/1000, Cost: 1.7397\n", + " and the parameters are [-2.77200472 3.77281685] -4.914547772778908 ;\n", + "Epoch 520/1000, Cost: 2.4008\n", + " and the parameters are [-2.77198654 3.77287165] -4.914546525452435 ;\n", + "Epoch 520/1000, Cost: 4.3000\n", + " and the parameters are [-2.77197537 3.77289916] -4.914556877095428 ;\n", + "Epoch 520/1000, Cost: 1.3412\n", + " and the parameters are [-2.77197733 3.77292932] -4.914563475883054 ;\n", + "Epoch 520/1000, Cost: 1.1640\n", + " and the parameters are [-2.77200032 3.77294415] -4.9145667067165455 ;\n", + "Epoch 520/1000, Cost: 3.0689\n", + " and the parameters are [-2.77203946 3.77298875] -4.914544605923586 ;\n", + "Epoch 520/1000, Cost: 4.0007\n", + " and the parameters are [-2.77205376 3.77313607] -4.914452660066055 ;\n", + "Epoch 520/1000, Cost: 3.0079\n", + " and the parameters are [-2.77205588 3.77304951] -4.914544404668171 ;\n", + "Epoch 520/1000, Cost: 3.5577\n", + " and the parameters are [-2.77206199 3.77302141] -4.914589723740424 ;\n", + "Epoch 520/1000, Cost: 3.6339\n", + " and the parameters are [-2.77203855 3.77305603] -4.914598827767921 ;\n", + "Epoch 520/1000, Cost: 2.7124\n", + " and the parameters are [-2.77201984 3.77307598] -4.914633317044885 ;\n", + "Epoch 520/1000, Cost: 6.3473\n", + " and the parameters are [-2.77205372 3.77302216] -4.914658315195753 ;\n", + "Epoch 520/1000, Cost: 2.7266\n", + " and the parameters are [-2.77209245 3.7730732 ] -4.914631495632309 ;\n", + "Epoch 520/1000, Cost: 2.7502\n", + " and the parameters are [-2.77209579 3.77303358] -4.914690918081979 ;\n", + "Epoch 520/1000, Cost: 3.5920\n", + " and the parameters are [-2.77213484 3.77295892] -4.914757821656832 ;\n", + "Epoch 520/1000, Cost: 2.3343\n", + " and the parameters are [-2.77214718 3.77297858] -4.914780087359302 ;\n", + "Epoch 520/1000, Cost: 2.9591\n", + " and the parameters are [-2.77218892 3.77285511] -4.914870181271366 ;\n", + "Epoch 520/1000, Cost: 2.4374\n", + " and the parameters are [-2.77217565 3.77283172] -4.914937075885135 ;\n", + "Epoch 520/1000, Cost: 1.8222\n", + " and the parameters are [-2.77213444 3.77294086] -4.9148979803044535 ;\n", + "Epoch 520/1000, Cost: 1.7633\n", + " and the parameters are [-2.7721352 3.77294525] -4.914922543393299 ;\n", + "Epoch 520/1000, Cost: 3.2682\n", + " and the parameters are [-2.77215804 3.77300065] -4.914904226112651 ;\n", + "Epoch 520/1000, Cost: 3.2504\n", + " and the parameters are [-2.77218192 3.77296216] -4.914938957359292 ;\n", + "Epoch 520/1000, Cost: 3.1935\n", + " and the parameters are [-2.7721995 3.77300511] -4.914925381617412 ;\n", + "Epoch 520/1000, Cost: 3.4360\n", + " and the parameters are [-2.77222321 3.77301504] -4.914920962721203 ;\n", + "Epoch 520/1000, Cost: 3.3636\n", + " and the parameters are [-2.77230749 3.77290733] -4.914991663583932 ;\n", + "Epoch 520/1000, Cost: 4.5017\n", + " and the parameters are [-2.77224007 3.77289928] -4.915049101206453 ;\n", + "Epoch 520/1000, Cost: 2.1047\n", + " and the parameters are [-2.7722174 3.77289354] -4.915086577338114 ;\n", + "Epoch 520/1000, Cost: 2.3784\n", + " and the parameters are [-2.7721987 3.77292026] -4.915108411086786 ;\n", + "Epoch 520/1000, Cost: 2.7329\n", + " and the parameters are [-2.77215219 3.77295949] -4.915129871433062 ;\n", + "Epoch 520/1000, Cost: 2.5497\n", + " and the parameters are [-2.77216426 3.77302033] -4.9151178568962655 ;\n", + "Epoch 520/1000, Cost: 4.1240\n", + " and the parameters are [-2.77209354 3.77316516] -4.915077485002034 ;\n", + "Epoch 520/1000, Cost: 2.5596\n", + " and the parameters are [-2.77212733 3.77322061] -4.915044505935062 ;\n", + "Epoch 520/1000, Cost: 3.6106\n", + " and the parameters are [-2.77219273 3.773133 ] -4.915088894710573 ;\n", + "Epoch 520/1000, Cost: 5.4024\n", + " and the parameters are [-2.77213344 3.77307133] -4.915193925882675 ;\n", + "Epoch 520/1000, Cost: 5.6455\n", + " and the parameters are [-2.77208242 3.77312751] -4.9151717926377465 ;\n", + "Epoch 520/1000, Cost: 2.9066\n", + " and the parameters are [-2.77208613 3.77305738] -4.915241711367292 ;\n", + "Epoch 520/1000, Cost: 3.6550\n", + " and the parameters are [-2.7721357 3.77311499] -4.915190986925671 ;\n", + "Epoch 520/1000, Cost: 3.3598\n", + " and the parameters are [-2.77210434 3.77319375] -4.915171148605222 ;\n", + "Epoch 520/1000, Cost: 4.3795\n", + " and the parameters are [-2.77213655 3.77320248] -4.9151786447000525 ;\n", + "Epoch 520/1000, Cost: 1.8505\n", + " and the parameters are [-2.77216406 3.77319557] -4.915206148442933 ;\n", + "Epoch 520/1000, Cost: 3.7913\n", + " and the parameters are [-2.77219055 3.77326996] -4.91517309853706 ;\n", + "Epoch 530/1000, Cost: 1.9929\n", + " and the parameters are [-2.78581084 3.79022222] -4.93939007522311 ;\n", + "Epoch 530/1000, Cost: 4.2672\n", + " and the parameters are [-2.78585369 3.79015477] -4.93945243491439 ;\n", + "Epoch 530/1000, Cost: 5.7615\n", + " and the parameters are [-2.78599043 3.79010941] -4.939418559062725 ;\n", + "Epoch 530/1000, Cost: 2.8925\n", + " and the parameters are [-2.7860163 3.79000213] -4.939513384460929 ;\n", + "Epoch 530/1000, Cost: 1.9261\n", + " and the parameters are [-2.78603262 3.79001255] -4.939529996823639 ;\n", + "Epoch 530/1000, Cost: 6.5262\n", + " and the parameters are [-2.78619389 3.78970473] -4.939703559550528 ;\n", + "Epoch 530/1000, Cost: 3.1618\n", + " and the parameters are [-2.78621226 3.78968506] -4.939739763575948 ;\n", + "Epoch 530/1000, Cost: 2.8564\n", + " and the parameters are [-2.78616863 3.78974372] -4.939746914242483 ;\n", + "Epoch 530/1000, Cost: 1.3454\n", + " and the parameters are [-2.78618938 3.78976801] -4.93974811965532 ;\n", + "Epoch 530/1000, Cost: 1.8154\n", + " and the parameters are [-2.78618153 3.78980023] -4.939760449381737 ;\n", + "Epoch 530/1000, Cost: 5.2197\n", + " and the parameters are [-2.78624874 3.78970379] -4.9398405777856285 ;\n", + "Epoch 530/1000, Cost: 2.2979\n", + " and the parameters are [-2.78625173 3.78974595] -4.939843690344274 ;\n", + "Epoch 530/1000, Cost: 3.1900\n", + " and the parameters are [-2.78633452 3.78979545] -4.939784043909665 ;\n", + "Epoch 530/1000, Cost: 4.7183\n", + " and the parameters are [-2.78645281 3.78970431] -4.939812556113282 ;\n", + "Epoch 530/1000, Cost: 6.3756\n", + " and the parameters are [-2.78634022 3.7897627 ] -4.939833921335184 ;\n", + "Epoch 530/1000, Cost: 3.3957\n", + " and the parameters are [-2.78633636 3.789857 ] -4.93978394190326 ;\n", + "Epoch 530/1000, Cost: 2.6176\n", + " and the parameters are [-2.78636319 3.78984252] -4.9398163238124235 ;\n", + "Epoch 530/1000, Cost: 2.4053\n", + " and the parameters are [-2.78635508 3.78982238] -4.9398773777992355 ;\n", + "Epoch 530/1000, Cost: 4.2502\n", + " and the parameters are [-2.7862818 3.78978261] -4.9399654066917495 ;\n", + "Epoch 530/1000, Cost: 5.8634\n", + " and the parameters are [-2.78622377 3.78995432] -4.939871007330529 ;\n", + "Epoch 530/1000, Cost: 2.3204\n", + " and the parameters are [-2.78619709 3.78999561] -4.939875052913962 ;\n", + "Epoch 530/1000, Cost: 0.8109\n", + " and the parameters are [-2.78619587 3.79004022] -4.939868142241053 ;\n", + "Epoch 530/1000, Cost: 3.2233\n", + " and the parameters are [-2.78615022 3.79016752] -4.93981633190532 ;\n", + "Epoch 530/1000, Cost: 1.8411\n", + " and the parameters are [-2.78611795 3.79026276] -4.939788325951171 ;\n", + "Epoch 530/1000, Cost: 4.5120\n", + " and the parameters are [-2.78616602 3.79032443] -4.9397378101623515 ;\n", + "Epoch 530/1000, Cost: 2.4363\n", + " and the parameters are [-2.78614728 3.79041683] -4.9397162961255106 ;\n", + "Epoch 530/1000, Cost: 3.5901\n", + " and the parameters are [-2.78620871 3.79042872] -4.939700351009789 ;\n", + "Epoch 530/1000, Cost: 5.0852\n", + " and the parameters are [-2.78630589 3.79034804] -4.939710971409179 ;\n", + "Epoch 530/1000, Cost: 2.6182\n", + " and the parameters are [-2.78634742 3.79037262] -4.939710885562417 ;\n", + "Epoch 530/1000, Cost: 2.3361\n", + " and the parameters are [-2.78641171 3.79037187] -4.939705390757152 ;\n", + "Epoch 530/1000, Cost: 2.3378\n", + " and the parameters are [-2.78645029 3.79039735] -4.939697152263653 ;\n", + "Epoch 530/1000, Cost: 3.3522\n", + " and the parameters are [-2.78650361 3.79029136] -4.939782904292733 ;\n", + "Epoch 530/1000, Cost: 2.2161\n", + " and the parameters are [-2.78650151 3.79032312] -4.939787241766276 ;\n", + "Epoch 530/1000, Cost: 2.7829\n", + " and the parameters are [-2.7864795 3.79034485] -4.939804383012782 ;\n", + "Epoch 530/1000, Cost: 5.5061\n", + " and the parameters are [-2.78647152 3.79027411] -4.939873764897311 ;\n", + "Epoch 530/1000, Cost: 2.4743\n", + " and the parameters are [-2.78644786 3.79039968] -4.9398243337788985 ;\n", + "Epoch 530/1000, Cost: 4.2879\n", + " and the parameters are [-2.78641562 3.7904488 ] -4.939844371293524 ;\n", + "Epoch 530/1000, Cost: 2.8381\n", + " and the parameters are [-2.78640301 3.79059391] -4.939772349152185 ;\n", + "Epoch 530/1000, Cost: 1.6847\n", + " and the parameters are [-2.78642629 3.79063108] -4.939764885523566 ;\n", + "Epoch 530/1000, Cost: 1.6782\n", + " and the parameters are [-2.78642861 3.79060845] -4.939805211159982 ;\n", + "Epoch 530/1000, Cost: 2.4553\n", + " and the parameters are [-2.786353 3.79068217] -4.939815525241911 ;\n", + "Epoch 530/1000, Cost: 2.0254\n", + " and the parameters are [-2.78636 3.79074281] -4.939793366229565 ;\n", + "Epoch 530/1000, Cost: 3.0809\n", + " and the parameters are [-2.78635258 3.79084041] -4.939755712812717 ;\n", + "Epoch 530/1000, Cost: 6.7692\n", + " and the parameters are [-2.78630995 3.79086454] -4.939747236701145 ;\n", + "Epoch 530/1000, Cost: 1.2351\n", + " and the parameters are [-2.78630497 3.7909211 ] -4.9397365517593945 ;\n", + "Epoch 530/1000, Cost: 3.3235\n", + " and the parameters are [-2.78633775 3.79097933] -4.939681028394209 ;\n", + "Epoch 530/1000, Cost: 2.4858\n", + " and the parameters are [-2.78634632 3.79107487] -4.939635237465537 ;\n", + "Epoch 530/1000, Cost: 1.4525\n", + " and the parameters are [-2.78636972 3.79110402] -4.939630650337994 ;\n", + "Epoch 530/1000, Cost: 2.8375\n", + " and the parameters are [-2.78640046 3.79106735] -4.93968353048409 ;\n", + "Epoch 530/1000, Cost: 1.9854\n", + " and the parameters are [-2.78638049 3.79113961] -4.93966792383473 ;\n", + "Epoch 530/1000, Cost: 7.1100\n", + " and the parameters are [-2.78655773 3.79098133] -4.939680826792659 ;\n", + "Epoch 530/1000, Cost: 2.8908\n", + " and the parameters are [-2.78648328 3.79102947] -4.9397174679966875 ;\n", + "Epoch 530/1000, Cost: 4.2922\n", + " and the parameters are [-2.78645412 3.79100319] -4.939777298297537 ;\n", + "Epoch 530/1000, Cost: 3.3432\n", + " and the parameters are [-2.78641101 3.79094418] -4.939843938040805 ;\n", + "Epoch 530/1000, Cost: 3.8034\n", + " and the parameters are [-2.78641623 3.79084647] -4.93993613141302 ;\n", + "Epoch 530/1000, Cost: 1.3914\n", + " and the parameters are [-2.78641141 3.79085169] -4.9399650722528 ;\n", + "Epoch 530/1000, Cost: 0.9508\n", + " and the parameters are [-2.7864013 3.7908744] -4.939981053554682 ;\n", + "Epoch 530/1000, Cost: 1.9139\n", + " and the parameters are [-2.7863995 3.79086356] -4.9400189053362205 ;\n", + "Epoch 530/1000, Cost: 2.8279\n", + " and the parameters are [-2.78644088 3.79082815] -4.9400525533871384 ;\n", + "Epoch 530/1000, Cost: 2.2253\n", + " and the parameters are [-2.78640868 3.79090246] -4.940056559976188 ;\n", + "Epoch 530/1000, Cost: 1.1694\n", + " and the parameters are [-2.78638875 3.79095424] -4.940054919978052 ;\n", + "Epoch 530/1000, Cost: 2.7660\n", + " and the parameters are [-2.78645272 3.7909073 ] -4.940071796324173 ;\n", + "Epoch 530/1000, Cost: 4.5416\n", + " and the parameters are [-2.78640819 3.79099701] -4.940055406699822 ;\n", + "Epoch 530/1000, Cost: 5.2084\n", + " and the parameters are [-2.78646797 3.79097453] -4.940058423256193 ;\n", + "Epoch 530/1000, Cost: 2.7329\n", + " and the parameters are [-2.78645748 3.79104042] -4.940050583952898 ;\n", + "Epoch 530/1000, Cost: 5.9134\n", + " and the parameters are [-2.78638441 3.79110827] -4.940032596779649 ;\n", + "Epoch 530/1000, Cost: 2.8361\n", + " and the parameters are [-2.78637058 3.79107128] -4.940092227708196 ;\n", + "Epoch 530/1000, Cost: 2.8534\n", + " and the parameters are [-2.78640018 3.79097546] -4.940178486038964 ;\n", + "Epoch 530/1000, Cost: 2.2147\n", + " and the parameters are [-2.78635189 3.7910809 ] -4.940145928320323 ;\n", + "Epoch 530/1000, Cost: 5.4712\n", + " and the parameters are [-2.78640335 3.79097578] -4.94019568618773 ;\n", + "Epoch 530/1000, Cost: 2.3504\n", + " and the parameters are [-2.78639426 3.79095655] -4.940229979671307 ;\n", + "Epoch 530/1000, Cost: 3.1273\n", + " and the parameters are [-2.78638396 3.79100166] -4.940234594181098 ;\n", + "Epoch 530/1000, Cost: 3.9532\n", + " and the parameters are [-2.78644873 3.79098895] -4.940224571612851 ;\n", + "Epoch 530/1000, Cost: 2.7896\n", + " and the parameters are [-2.78646257 3.7910493 ] -4.940183819502827 ;\n", + "Epoch 530/1000, Cost: 2.5614\n", + " and the parameters are [-2.78649683 3.79107716] -4.940179872054148 ;\n", + "Epoch 530/1000, Cost: 6.0069\n", + " and the parameters are [-2.78636751 3.79105204] -4.940313476456846 ;\n", + "Epoch 530/1000, Cost: 2.9525\n", + " and the parameters are [-2.78634095 3.79112123] -4.940314603705647 ;\n", + "Epoch 530/1000, Cost: 3.3982\n", + " and the parameters are [-2.78636935 3.79100486] -4.94042019893526 ;\n", + "Epoch 530/1000, Cost: 2.9411\n", + " and the parameters are [-2.7863923 3.79109058] -4.940374490872889 ;\n", + "Epoch 530/1000, Cost: 2.9882\n", + " and the parameters are [-2.78640887 3.79106071] -4.9404159168633806 ;\n", + "Epoch 530/1000, Cost: 2.7058\n", + " and the parameters are [-2.78638205 3.79109272] -4.940424053960363 ;\n", + "Epoch 530/1000, Cost: 3.6751\n", + " and the parameters are [-2.78643612 3.79102643] -4.9404759293303 ;\n", + "Epoch 530/1000, Cost: 3.3688\n", + " and the parameters are [-2.78638913 3.7910188 ] -4.940529621504976 ;\n", + "Epoch 530/1000, Cost: 3.3927\n", + " and the parameters are [-2.78639443 3.79111902] -4.940480814810239 ;\n", + "Epoch 530/1000, Cost: 2.5305\n", + " and the parameters are [-2.78639166 3.79115199] -4.940489202659896 ;\n", + "Epoch 530/1000, Cost: 2.6970\n", + " and the parameters are [-2.78639379 3.79119891] -4.940481417537445 ;\n", + "Epoch 530/1000, Cost: 1.5786\n", + " and the parameters are [-2.78637685 3.79131119] -4.940434666474376 ;\n", + "Epoch 530/1000, Cost: 4.7185\n", + " and the parameters are [-2.78646743 3.79121685] -4.940472645290533 ;\n", + "Epoch 530/1000, Cost: 1.8485\n", + " and the parameters are [-2.78646375 3.79125518] -4.9404718197806625 ;\n", + "Epoch 530/1000, Cost: 2.9033\n", + " and the parameters are [-2.7864143 3.79127921] -4.940504771911068 ;\n", + "Epoch 530/1000, Cost: 2.4886\n", + " and the parameters are [-2.78643945 3.79134408] -4.940476804534107 ;\n", + "Epoch 530/1000, Cost: 4.3648\n", + " and the parameters are [-2.78647084 3.79125325] -4.9405314604332276 ;\n", + "Epoch 530/1000, Cost: 2.7011\n", + " and the parameters are [-2.78644322 3.79132678] -4.940516523759398 ;\n", + "Epoch 530/1000, Cost: 2.0770\n", + " and the parameters are [-2.78646063 3.79132515] -4.940537746516761 ;\n", + "Epoch 530/1000, Cost: 2.6755\n", + " and the parameters are [-2.78642979 3.79133906] -4.940574319845579 ;\n", + "Epoch 530/1000, Cost: 1.7271\n", + " and the parameters are [-2.78647507 3.79132404] -4.940579833394851 ;\n", + "Epoch 530/1000, Cost: 1.4493\n", + " and the parameters are [-2.78646092 3.79141253] -4.9405455027724745 ;\n", + "Epoch 530/1000, Cost: 4.4797\n", + " and the parameters are [-2.78651591 3.79139824] -4.940532630095606 ;\n", + "Epoch 530/1000, Cost: 3.2364\n", + " and the parameters are [-2.78648841 3.79155542] -4.940455651224025 ;\n", + "Epoch 530/1000, Cost: 4.4219\n", + " and the parameters are [-2.78654451 3.79145371] -4.940506158614154 ;\n", + "Epoch 530/1000, Cost: 2.8466\n", + " and the parameters are [-2.78649375 3.79158381] -4.9404744581375635 ;\n", + "Epoch 530/1000, Cost: 2.5119\n", + " and the parameters are [-2.78652341 3.79162609] -4.940467225604041 ;\n", + "Epoch 530/1000, Cost: 4.0619\n", + " and the parameters are [-2.786444 3.79163497] -4.940534851667006 ;\n", + "Epoch 530/1000, Cost: 1.6944\n", + " and the parameters are [-2.78649813 3.79159736] -4.9405623886820855 ;\n", + "Epoch 530/1000, Cost: 8.0381\n", + " and the parameters are [-2.78656287 3.79150952] -4.940582260153046 ;\n", + "Epoch 530/1000, Cost: 3.2623\n", + " and the parameters are [-2.78657374 3.79145129] -4.9406482241794984 ;\n", + "Epoch 530/1000, Cost: 1.1915\n", + " and the parameters are [-2.78657969 3.79147255] -4.940662233214498 ;\n", + "Epoch 530/1000, Cost: 1.8826\n", + " and the parameters are [-2.78653356 3.79157495] -4.9406438812570155 ;\n", + "Epoch 530/1000, Cost: 5.7681\n", + " and the parameters are [-2.7865671 3.79157758] -4.940633228429013 ;\n", + "Epoch 530/1000, Cost: 1.7470\n", + " and the parameters are [-2.78661753 3.79156745] -4.9406437461836665 ;\n", + "Epoch 530/1000, Cost: 1.7631\n", + " and the parameters are [-2.78661628 3.79159906] -4.940650812871474 ;\n", + "Epoch 530/1000, Cost: 3.0895\n", + " and the parameters are [-2.78662142 3.79163163] -4.940647658946086 ;\n", + "Epoch 530/1000, Cost: 3.3447\n", + " and the parameters are [-2.78657562 3.79174565] -4.940602676836447 ;\n", + "Epoch 530/1000, Cost: 5.3032\n", + " and the parameters are [-2.78659529 3.79157748] -4.940741929774398 ;\n", + "Epoch 530/1000, Cost: 1.8946\n", + " and the parameters are [-2.7866053 3.79158537] -4.940767959585168 ;\n", + "Epoch 530/1000, Cost: 1.7225\n", + " and the parameters are [-2.78665726 3.79161576] -4.940745204329912 ;\n", + "Epoch 530/1000, Cost: 4.5495\n", + " and the parameters are [-2.78662779 3.791586 ] -4.940795442722462 ;\n", + "Epoch 530/1000, Cost: 5.6874\n", + " and the parameters are [-2.78650635 3.79162463] -4.940839954608003 ;\n", + "Epoch 530/1000, Cost: 1.0724\n", + " and the parameters are [-2.786503 3.79163885] -4.940857996041437 ;\n", + "Epoch 530/1000, Cost: 1.6294\n", + " and the parameters are [-2.78652375 3.79161786] -4.940902015935774 ;\n", + "Epoch 530/1000, Cost: 1.5953\n", + " and the parameters are [-2.78651548 3.79164603] -4.940924105944309 ;\n", + "Epoch 530/1000, Cost: 2.2159\n", + " and the parameters are [-2.78647755 3.79169223] -4.9409336992485295 ;\n", + "Epoch 530/1000, Cost: 3.2418\n", + " and the parameters are [-2.78650672 3.79174953] -4.940888170917031 ;\n", + "Epoch 530/1000, Cost: 2.6269\n", + " and the parameters are [-2.7865273 3.79176798] -4.940906524114153 ;\n", + "Epoch 530/1000, Cost: 4.6308\n", + " and the parameters are [-2.78652027 3.79176452] -4.940931886757325 ;\n", + "Epoch 530/1000, Cost: 4.4843\n", + " and the parameters are [-2.78652791 3.79185306] -4.94089239261747 ;\n", + "Epoch 530/1000, Cost: 4.0343\n", + " and the parameters are [-2.78651645 3.79185016] -4.940911772306786 ;\n", + "Epoch 530/1000, Cost: 2.5325\n", + " and the parameters are [-2.78648981 3.791938 ] -4.9408912899557755 ;\n", + "Epoch 530/1000, Cost: 1.2572\n", + " and the parameters are [-2.78649367 3.79195633] -4.940901421196168 ;\n", + "Epoch 530/1000, Cost: 1.5677\n", + " and the parameters are [-2.78648791 3.79202762] -4.940883344785913 ;\n", + "Epoch 530/1000, Cost: 4.9322\n", + " and the parameters are [-2.7865978 3.79200571] -4.940859787152494 ;\n", + "Epoch 530/1000, Cost: 1.3396\n", + " and the parameters are [-2.7866094 3.79205142] -4.940846387567546 ;\n", + "Epoch 530/1000, Cost: 3.5429\n", + " and the parameters are [-2.78658598 3.79205688] -4.940889043506249 ;\n", + "Epoch 530/1000, Cost: 3.3392\n", + " and the parameters are [-2.78665266 3.79205002] -4.940895307490636 ;\n", + "Epoch 530/1000, Cost: 4.0555\n", + " and the parameters are [-2.78670735 3.79196838] -4.940955197295752 ;\n", + "Epoch 530/1000, Cost: 3.1280\n", + " and the parameters are [-2.78672108 3.79203245] -4.940925278679161 ;\n", + "Epoch 530/1000, Cost: 3.2816\n", + " and the parameters are [-2.78675032 3.79193309] -4.941008266647264 ;\n", + "Epoch 530/1000, Cost: 1.4417\n", + " and the parameters are [-2.78675875 3.79191625] -4.941038944296413 ;\n", + "Epoch 530/1000, Cost: 2.9872\n", + " and the parameters are [-2.78680534 3.79184936] -4.941094747379686 ;\n", + "Epoch 530/1000, Cost: 4.7820\n", + " and the parameters are [-2.78694046 3.79160296] -4.941197552918074 ;\n", + "Epoch 530/1000, Cost: 2.5803\n", + " and the parameters are [-2.78697769 3.79157694] -4.941232553929143 ;\n", + "Epoch 530/1000, Cost: 5.9362\n", + " and the parameters are [-2.78712139 3.79146909] -4.9412294276165944 ;\n", + "Epoch 530/1000, Cost: 5.0986\n", + " and the parameters are [-2.78707188 3.79141955] -4.941294463398366 ;\n", + "Epoch 530/1000, Cost: 1.4769\n", + " and the parameters are [-2.78710053 3.79137265] -4.94133993565446 ;\n", + "Epoch 530/1000, Cost: 2.6561\n", + " and the parameters are [-2.78709801 3.79134978] -4.941397841494095 ;\n", + "Epoch 530/1000, Cost: 2.1398\n", + " and the parameters are [-2.78706107 3.79142856] -4.94139829363319 ;\n", + "Epoch 530/1000, Cost: 2.4989\n", + " and the parameters are [-2.78710656 3.791452 ] -4.941386426594337 ;\n", + "Epoch 530/1000, Cost: 5.1612\n", + " and the parameters are [-2.78712232 3.79146121] -4.941387998644108 ;\n", + "Epoch 530/1000, Cost: 2.4164\n", + " and the parameters are [-2.78710328 3.7915684 ] -4.941346724683628 ;\n", + "Epoch 530/1000, Cost: 3.6699\n", + " and the parameters are [-2.78713464 3.79142849] -4.941448347657988 ;\n", + "Epoch 530/1000, Cost: 1.8500\n", + " and the parameters are [-2.78719018 3.79144476] -4.941437418029157 ;\n", + "Epoch 530/1000, Cost: 2.9878\n", + " and the parameters are [-2.78722893 3.79146705] -4.9414332045034435 ;\n", + "Epoch 530/1000, Cost: 9.1768\n", + " and the parameters are [-2.78736787 3.79120399] -4.941541370366781 ;\n", + "Epoch 530/1000, Cost: 1.4452\n", + " and the parameters are [-2.78735613 3.79121288] -4.941568089760633 ;\n", + "Epoch 530/1000, Cost: 5.7941\n", + " and the parameters are [-2.78739262 3.79117239] -4.941600798939733 ;\n", + "Epoch 530/1000, Cost: 2.5708\n", + " and the parameters are [-2.78742441 3.79120938] -4.941577283118563 ;\n", + "Epoch 530/1000, Cost: 2.9495\n", + " and the parameters are [-2.78747631 3.79119281] -4.941594939704806 ;\n", + "Epoch 530/1000, Cost: 6.6643\n", + " and the parameters are [-2.78737965 3.79121981] -4.941642797224021 ;\n", + "Epoch 530/1000, Cost: 6.2654\n", + " and the parameters are [-2.7874936 3.79126618] -4.941551300216757 ;\n", + "Epoch 530/1000, Cost: 6.5794\n", + " and the parameters are [-2.78741298 3.79114745] -4.941680697214904 ;\n", + "Epoch 530/1000, Cost: 2.4049\n", + " and the parameters are [-2.78740606 3.79114745] -4.941713220676192 ;\n", + "Epoch 530/1000, Cost: 5.3261\n", + " and the parameters are [-2.78733915 3.79111398] -4.941805565540978 ;\n", + "Epoch 530/1000, Cost: 5.6610\n", + " and the parameters are [-2.78740602 3.79109537] -4.94180517813659 ;\n", + "Epoch 530/1000, Cost: 2.5114\n", + " and the parameters are [-2.78734309 3.79123955] -4.9417514456641305 ;\n", + "Epoch 530/1000, Cost: 3.2355\n", + " and the parameters are [-2.78737576 3.79118937] -4.941813603155715 ;\n", + "Epoch 530/1000, Cost: 4.9118\n", + " and the parameters are [-2.78735103 3.79113705] -4.9418762567257515 ;\n", + "Epoch 530/1000, Cost: 2.4190\n", + " and the parameters are [-2.78735849 3.79114893] -4.941899305832319 ;\n", + "Epoch 530/1000, Cost: 0.9999\n", + " and the parameters are [-2.78734897 3.79119099] -4.941901501827149 ;\n", + "Epoch 530/1000, Cost: 1.6472\n", + " and the parameters are [-2.78732865 3.7912133 ] -4.941922197876568 ;\n", + "Epoch 530/1000, Cost: 2.9922\n", + " and the parameters are [-2.78737473 3.79118655] -4.941955950714506 ;\n", + "Epoch 530/1000, Cost: 4.1357\n", + " and the parameters are [-2.7873971 3.79119636] -4.941963735328517 ;\n", + "Epoch 530/1000, Cost: 2.7519\n", + " and the parameters are [-2.78743503 3.79112603] -4.942022070107035 ;\n", + "Epoch 530/1000, Cost: 8.0039\n", + " and the parameters are [-2.78739947 3.79096644] -4.942127029885362 ;\n", + "Epoch 530/1000, Cost: 6.2072\n", + " and the parameters are [-2.78733635 3.79101375] -4.942129842409966 ;\n", + "Epoch 530/1000, Cost: 5.4598\n", + " and the parameters are [-2.78738661 3.79106679] -4.942076786083265 ;\n", + "Epoch 530/1000, Cost: 2.9992\n", + " and the parameters are [-2.78734151 3.79115432] -4.942069494088511 ;\n", + "Epoch 530/1000, Cost: 3.5604\n", + " and the parameters are [-2.78736902 3.79126159] -4.942011759028709 ;\n", + "Epoch 530/1000, Cost: 2.7956\n", + " and the parameters are [-2.78740976 3.7913167 ] -4.941971683285724 ;\n", + "Epoch 530/1000, Cost: 2.4857\n", + " and the parameters are [-2.78741433 3.79133922] -4.941975820857598 ;\n", + "Epoch 530/1000, Cost: 7.9055\n", + " and the parameters are [-2.78736895 3.7915396 ] -4.941843890792094 ;\n", + "Epoch 530/1000, Cost: 0.7485\n", + " and the parameters are [-2.78737191 3.79155694] -4.941850925062871 ;\n", + "Epoch 530/1000, Cost: 3.8386\n", + " and the parameters are [-2.78739609 3.79155747] -4.941862809402126 ;\n", + "Epoch 530/1000, Cost: 5.0831\n", + " and the parameters are [-2.78747833 3.79144895] -4.941913118569765 ;\n", + "Epoch 530/1000, Cost: 2.8336\n", + " and the parameters are [-2.78748012 3.7914431 ] -4.941954795249144 ;\n", + "Epoch 530/1000, Cost: 3.0285\n", + " and the parameters are [-2.78746883 3.79151702] -4.941934110117668 ;\n", + "Epoch 530/1000, Cost: 1.4824\n", + " and the parameters are [-2.78744231 3.79151205] -4.941978680544875 ;\n", + "Epoch 530/1000, Cost: 2.6511\n", + " and the parameters are [-2.78744656 3.79157108] -4.9419739550597725 ;\n", + "Epoch 530/1000, Cost: 4.6101\n", + " and the parameters are [-2.78741313 3.79154705] -4.942022638081336 ;\n", + "Epoch 530/1000, Cost: 2.4197\n", + " and the parameters are [-2.7874011 3.79160377] -4.942027044031445 ;\n", + "Epoch 530/1000, Cost: 0.9167\n", + " and the parameters are [-2.78741305 3.79161946] -4.942032588736427 ;\n", + "Epoch 530/1000, Cost: 4.0192\n", + " and the parameters are [-2.78735095 3.79164249] -4.942068153905251 ;\n", + "Epoch 530/1000, Cost: 2.8916\n", + " and the parameters are [-2.78739397 3.79156608] -4.942126743636441 ;\n", + "Epoch 530/1000, Cost: 1.7730\n", + " and the parameters are [-2.78740851 3.79160793] -4.942122196802369 ;\n", + "Epoch 530/1000, Cost: 3.0866\n", + " and the parameters are [-2.78743031 3.79167405] -4.942087135004713 ;\n", + "Epoch 530/1000, Cost: 1.3308\n", + " and the parameters are [-2.78742466 3.79177195] -4.9420485966099355 ;\n", + "Epoch 530/1000, Cost: 2.6475\n", + " and the parameters are [-2.78740061 3.79185149] -4.942039834366945 ;\n", + "Epoch 530/1000, Cost: 3.4090\n", + " and the parameters are [-2.78740108 3.79198276] -4.9419792584430935 ;\n", + "Epoch 530/1000, Cost: 4.8598\n", + " and the parameters are [-2.78743181 3.79191606] -4.942050251005475 ;\n", + "Epoch 530/1000, Cost: 1.3366\n", + " and the parameters are [-2.78744113 3.79193086] -4.942065293316446 ;\n", + "Epoch 530/1000, Cost: 5.7919\n", + " and the parameters are [-2.78727242 3.79208026] -4.942048843119274 ;\n", + "Epoch 540/1000, Cost: 1.3689\n", + " and the parameters are [-2.80064898 3.80868291] -4.965872811496824 ;\n", + "Epoch 540/1000, Cost: 4.2016\n", + " and the parameters are [-2.80061605 3.80876118] -4.965854134522242 ;\n", + "Epoch 540/1000, Cost: 7.1593\n", + " and the parameters are [-2.80064287 3.80878139] -4.965838095492169 ;\n", + "Epoch 540/1000, Cost: 5.6401\n", + " and the parameters are [-2.80058848 3.80878678] -4.9658784390907895 ;\n", + "Epoch 540/1000, Cost: 2.5348\n", + " and the parameters are [-2.80061389 3.80885714] -4.96584381911104 ;\n", + "Epoch 540/1000, Cost: 5.5407\n", + " and the parameters are [-2.80052702 3.8088416 ] -4.965927608562342 ;\n", + "Epoch 540/1000, Cost: 8.3730\n", + " and the parameters are [-2.80056869 3.80866354] -4.965997483827684 ;\n", + "Epoch 540/1000, Cost: 2.7836\n", + " and the parameters are [-2.80056008 3.80868785] -4.9660184421063045 ;\n", + "Epoch 540/1000, Cost: 2.0547\n", + " and the parameters are [-2.800604 3.80861189] -4.966064991159035 ;\n", + "Epoch 540/1000, Cost: 3.1801\n", + " and the parameters are [-2.80058015 3.80871037] -4.966027706254768 ;\n", + "Epoch 540/1000, Cost: 4.0359\n", + " and the parameters are [-2.80055632 3.8086853 ] -4.966091359216345 ;\n", + "Epoch 540/1000, Cost: 2.0716\n", + " and the parameters are [-2.80056692 3.80873954] -4.966076352247591 ;\n", + "Epoch 540/1000, Cost: 2.9453\n", + " and the parameters are [-2.80053215 3.80884344] -4.966043270436105 ;\n", + "Epoch 540/1000, Cost: 4.8057\n", + " and the parameters are [-2.80057534 3.80881247] -4.966068693317989 ;\n", + "Epoch 540/1000, Cost: 2.8241\n", + " and the parameters are [-2.80059684 3.80887534] -4.966049219357837 ;\n", + "Epoch 540/1000, Cost: 1.3292\n", + " and the parameters are [-2.80060291 3.80891183] -4.966051680102517 ;\n", + "Epoch 540/1000, Cost: 4.3702\n", + " and the parameters are [-2.80057447 3.80884865] -4.966129348457333 ;\n", + "Epoch 540/1000, Cost: 1.7886\n", + " and the parameters are [-2.80055599 3.80888634] -4.966139252909849 ;\n", + "Epoch 540/1000, Cost: 3.8210\n", + " and the parameters are [-2.80048131 3.80897418] -4.966123421674851 ;\n", + "Epoch 540/1000, Cost: 6.0920\n", + " and the parameters are [-2.80063991 3.8089101 ] -4.966096566898668 ;\n", + "Epoch 540/1000, Cost: 3.1450\n", + " and the parameters are [-2.80064408 3.80889408] -4.966135493027984 ;\n", + "Epoch 540/1000, Cost: 4.8123\n", + " and the parameters are [-2.80070017 3.80885316] -4.966157351586106 ;\n", + "Epoch 540/1000, Cost: 3.9578\n", + " and the parameters are [-2.80071027 3.80879047] -4.9662128813885325 ;\n", + "Epoch 540/1000, Cost: 0.8318\n", + " and the parameters are [-2.80071171 3.80881228] -4.96622041561882 ;\n", + "Epoch 540/1000, Cost: 1.1576\n", + " and the parameters are [-2.80072568 3.80887277] -4.9661943160276865 ;\n", + "Epoch 540/1000, Cost: 1.7273\n", + " and the parameters are [-2.80071897 3.80888186] -4.96622582023014 ;\n", + "Epoch 540/1000, Cost: 4.9963\n", + " and the parameters are [-2.80067495 3.80883884] -4.966291856255168 ;\n", + "Epoch 540/1000, Cost: 3.8697\n", + " and the parameters are [-2.80070534 3.80872453] -4.966365753318391 ;\n", + "Epoch 540/1000, Cost: 7.0774\n", + " and the parameters are [-2.80067474 3.80872917] -4.96637294122714 ;\n", + "Epoch 540/1000, Cost: 4.2342\n", + " and the parameters are [-2.80062732 3.80872375] -4.966427899195075 ;\n", + "Epoch 540/1000, Cost: 4.7682\n", + " and the parameters are [-2.80065295 3.80866845] -4.966481105192464 ;\n", + "Epoch 540/1000, Cost: 1.6299\n", + " and the parameters are [-2.80066131 3.80864308] -4.966522214766137 ;\n", + "Epoch 540/1000, Cost: 4.8761\n", + " and the parameters are [-2.80066703 3.80864738] -4.966537411574827 ;\n", + "Epoch 540/1000, Cost: 4.3444\n", + " and the parameters are [-2.80065836 3.80863968] -4.966557428003204 ;\n", + "Epoch 540/1000, Cost: 5.8715\n", + " and the parameters are [-2.80052602 3.80869748] -4.966576230996106 ;\n", + "Epoch 540/1000, Cost: 2.7272\n", + " and the parameters are [-2.80053713 3.8086538 ] -4.966649085531716 ;\n", + "Epoch 540/1000, Cost: 1.7604\n", + " and the parameters are [-2.80058228 3.80860824] -4.96669413353537 ;\n", + "Epoch 540/1000, Cost: 3.2052\n", + " and the parameters are [-2.80062078 3.80857828] -4.966724773300785 ;\n", + "Epoch 540/1000, Cost: 2.4539\n", + " and the parameters are [-2.80060838 3.8085962 ] -4.966743702213719 ;\n", + "Epoch 540/1000, Cost: 2.1562\n", + " and the parameters are [-2.80062604 3.80862325] -4.966755237598552 ;\n", + "Epoch 540/1000, Cost: 3.6930\n", + " and the parameters are [-2.80054422 3.80877655] -4.9667195084405495 ;\n", + "Epoch 540/1000, Cost: 2.4934\n", + " and the parameters are [-2.80057426 3.80881008] -4.966713077545494 ;\n", + "Epoch 540/1000, Cost: 2.8406\n", + " and the parameters are [-2.80056723 3.80880413] -4.966736651321294 ;\n", + "Epoch 540/1000, Cost: 2.3403\n", + " and the parameters are [-2.80061445 3.80888017] -4.966695069177912 ;\n", + "Epoch 540/1000, Cost: 0.9678\n", + " and the parameters are [-2.80061574 3.80890359] -4.966702709106163 ;\n", + "Epoch 540/1000, Cost: 3.4931\n", + " and the parameters are [-2.80060297 3.80899203] -4.966655019578297 ;\n", + "Epoch 540/1000, Cost: 2.7693\n", + " and the parameters are [-2.80058919 3.80908488] -4.966617907256788 ;\n", + "Epoch 540/1000, Cost: 2.3914\n", + " and the parameters are [-2.80052304 3.80915599] -4.9666283656034835 ;\n", + "Epoch 540/1000, Cost: 2.4747\n", + " and the parameters are [-2.80050434 3.80921979] -4.966625184736859 ;\n", + "Epoch 540/1000, Cost: 1.4931\n", + " and the parameters are [-2.80052003 3.80917819] -4.966668515204749 ;\n", + "Epoch 540/1000, Cost: 4.7336\n", + " and the parameters are [-2.80058451 3.80903255] -4.966780109503898 ;\n", + "Epoch 540/1000, Cost: 2.4304\n", + " and the parameters are [-2.80060091 3.80902398] -4.9668206394863725 ;\n", + "Epoch 540/1000, Cost: 3.3799\n", + " and the parameters are [-2.80063216 3.80897598] -4.966863975443965 ;\n", + "Epoch 540/1000, Cost: 1.7574\n", + " and the parameters are [-2.80065421 3.80897083] -4.9668924403642825 ;\n", + "Epoch 540/1000, Cost: 4.3221\n", + " and the parameters are [-2.80063337 3.80902804] -4.966871467355843 ;\n", + "Epoch 540/1000, Cost: 1.4681\n", + " and the parameters are [-2.80063819 3.80905037] -4.9668769644107575 ;\n", + "Epoch 540/1000, Cost: 1.7907\n", + " and the parameters are [-2.80063595 3.80904892] -4.966907408229668 ;\n", + "Epoch 540/1000, Cost: 5.8066\n", + " and the parameters are [-2.80066754 3.80890996] -4.967014016556471 ;\n", + "Epoch 540/1000, Cost: 4.1841\n", + " and the parameters are [-2.8006834 3.80882081] -4.967092332476615 ;\n", + "Epoch 540/1000, Cost: 3.3325\n", + " and the parameters are [-2.8006492 3.80888922] -4.967096488646721 ;\n", + "Epoch 540/1000, Cost: 6.6304\n", + " and the parameters are [-2.80075744 3.80869633] -4.967189824836946 ;\n", + "Epoch 540/1000, Cost: 1.4905\n", + " and the parameters are [-2.80070783 3.80877242] -4.96719119589876 ;\n", + "Epoch 540/1000, Cost: 4.6976\n", + " and the parameters are [-2.80068757 3.80887156] -4.9671375156998625 ;\n", + "Epoch 540/1000, Cost: 2.8279\n", + " and the parameters are [-2.80070315 3.80894876] -4.967103730301627 ;\n", + "Epoch 540/1000, Cost: 2.1799\n", + " and the parameters are [-2.80077066 3.80894745] -4.967103605290092 ;\n", + "Epoch 540/1000, Cost: 4.2210\n", + " and the parameters are [-2.80080989 3.80898766] -4.967072042410638 ;\n", + "Epoch 540/1000, Cost: 2.0069\n", + " and the parameters are [-2.80084098 3.80897667] -4.967099655979168 ;\n", + "Epoch 540/1000, Cost: 1.4607\n", + " and the parameters are [-2.80085891 3.80901055] -4.967098237340687 ;\n", + "Epoch 540/1000, Cost: 3.9992\n", + " and the parameters are [-2.80081017 3.80915391] -4.967033441707253 ;\n", + "Epoch 540/1000, Cost: 3.1194\n", + " and the parameters are [-2.80081188 3.80921837] -4.967015228269257 ;\n", + "Epoch 540/1000, Cost: 3.7302\n", + " and the parameters are [-2.80076609 3.80922597] -4.967067759600421 ;\n", + "Epoch 540/1000, Cost: 1.9381\n", + " and the parameters are [-2.8007966 3.80918908] -4.967105897830548 ;\n", + "Epoch 540/1000, Cost: 3.0707\n", + " and the parameters are [-2.80082114 3.80922739] -4.967088153012858 ;\n", + "Epoch 540/1000, Cost: 2.3369\n", + " and the parameters are [-2.80081081 3.80921642] -4.96714342897954 ;\n", + "Epoch 540/1000, Cost: 2.3381\n", + " and the parameters are [-2.8008173 3.80929839] -4.967100979556158 ;\n", + "Epoch 540/1000, Cost: 4.6928\n", + " and the parameters are [-2.80085194 3.80918577] -4.9671922646273385 ;\n", + "Epoch 540/1000, Cost: 3.1205\n", + " and the parameters are [-2.80083385 3.80910087] -4.9672757864997585 ;\n", + "Epoch 540/1000, Cost: 1.4988\n", + " and the parameters are [-2.8008202 3.80909973] -4.967312015407983 ;\n", + "Epoch 540/1000, Cost: 4.3395\n", + " and the parameters are [-2.80082279 3.80897892] -4.96742090937192 ;\n", + "Epoch 540/1000, Cost: 1.7903\n", + " and the parameters are [-2.80086019 3.80897497] -4.96743596389283 ;\n", + "Epoch 540/1000, Cost: 2.8271\n", + " and the parameters are [-2.80087662 3.80894108] -4.967470854343178 ;\n", + "Epoch 540/1000, Cost: 2.0701\n", + " and the parameters are [-2.80081159 3.80901123] -4.967478668417732 ;\n", + "Epoch 540/1000, Cost: 3.7871\n", + " and the parameters are [-2.80086058 3.80898896] -4.967496485588717 ;\n", + "Epoch 540/1000, Cost: 2.8250\n", + " and the parameters are [-2.80083523 3.80907978] -4.967472482648175 ;\n", + "Epoch 540/1000, Cost: 5.5949\n", + " and the parameters are [-2.80093524 3.80896044] -4.967533681801815 ;\n", + "Epoch 540/1000, Cost: 2.1645\n", + " and the parameters are [-2.80092137 3.80902273] -4.967531866715798 ;\n", + "Epoch 540/1000, Cost: 4.1168\n", + " and the parameters are [-2.80090202 3.80912021] -4.967469858020437 ;\n", + "Epoch 540/1000, Cost: 5.2426\n", + " and the parameters are [-2.80089981 3.80908105] -4.967524504983114 ;\n", + "Epoch 540/1000, Cost: 2.9134\n", + " and the parameters are [-2.80089377 3.80915123] -4.967490116297054 ;\n", + "Epoch 540/1000, Cost: 2.5094\n", + " and the parameters are [-2.80087623 3.80911951] -4.967551620732311 ;\n", + "Epoch 540/1000, Cost: 1.6641\n", + " and the parameters are [-2.80085512 3.80921026] -4.967528887830594 ;\n", + "Epoch 540/1000, Cost: 4.7939\n", + " and the parameters are [-2.8007817 3.80922673] -4.96755889904146 ;\n", + "Epoch 540/1000, Cost: 2.9559\n", + " and the parameters are [-2.80079091 3.80933114] -4.9675003357575855 ;\n", + "Epoch 540/1000, Cost: 1.7564\n", + " and the parameters are [-2.80077982 3.80931712] -4.967548064285953 ;\n", + "Epoch 540/1000, Cost: 1.9726\n", + " and the parameters are [-2.80080286 3.80929813] -4.96758605672529 ;\n", + "Epoch 540/1000, Cost: 2.5839\n", + " and the parameters are [-2.80073618 3.80942821] -4.967544805437791 ;\n", + "Epoch 540/1000, Cost: 6.4548\n", + " and the parameters are [-2.80070231 3.80951525] -4.9674796936370385 ;\n", + "Epoch 540/1000, Cost: 2.1760\n", + " and the parameters are [-2.80069069 3.80950301] -4.967531071410137 ;\n", + "Epoch 540/1000, Cost: 5.9524\n", + " and the parameters are [-2.80063832 3.80946973] -4.967617479096089 ;\n", + "Epoch 540/1000, Cost: 3.3255\n", + " and the parameters are [-2.80071969 3.80937998] -4.9676705288434455 ;\n", + "Epoch 540/1000, Cost: 2.2650\n", + " and the parameters are [-2.80073495 3.80937071] -4.967696525153582 ;\n", + "Epoch 540/1000, Cost: 3.9841\n", + " and the parameters are [-2.8007769 3.80940632] -4.967671200603507 ;\n", + "Epoch 540/1000, Cost: 1.2372\n", + " and the parameters are [-2.80079435 3.80941262] -4.96768291679194 ;\n", + "Epoch 540/1000, Cost: 4.2892\n", + " and the parameters are [-2.80077441 3.80949088] -4.96762948804991 ;\n", + "Epoch 540/1000, Cost: 2.5458\n", + " and the parameters are [-2.80078346 3.80950086] -4.967641624698055 ;\n", + "Epoch 540/1000, Cost: 2.4155\n", + " and the parameters are [-2.80084067 3.8094683 ] -4.967660065408139 ;\n", + "Epoch 540/1000, Cost: 4.2820\n", + " and the parameters are [-2.80082849 3.80949688] -4.9676810627147185 ;\n", + "Epoch 540/1000, Cost: 3.8231\n", + " and the parameters are [-2.80083848 3.80961994] -4.967625689240878 ;\n", + "Epoch 540/1000, Cost: 1.1215\n", + " and the parameters are [-2.80086083 3.80967351] -4.96759991425838 ;\n", + "Epoch 540/1000, Cost: 3.6845\n", + " and the parameters are [-2.80083522 3.80975635] -4.967581190250146 ;\n", + "Epoch 540/1000, Cost: 4.8832\n", + " and the parameters are [-2.80085117 3.80964339] -4.96768509175762 ;\n", + "Epoch 540/1000, Cost: 4.5358\n", + " and the parameters are [-2.80081687 3.80965288] -4.967722848618207 ;\n", + "Epoch 540/1000, Cost: 3.5015\n", + " and the parameters are [-2.80091161 3.80957687] -4.9677639919977254 ;\n", + "Epoch 540/1000, Cost: 1.8523\n", + " and the parameters are [-2.80094888 3.80951529] -4.96781134693124 ;\n", + "Epoch 540/1000, Cost: 1.7847\n", + " and the parameters are [-2.80092596 3.80956393] -4.967814909581332 ;\n", + "Epoch 540/1000, Cost: 2.7451\n", + " and the parameters are [-2.80093971 3.8095909 ] -4.967832052684744 ;\n", + "Epoch 540/1000, Cost: 6.2636\n", + " and the parameters are [-2.80090749 3.80969148] -4.9677772144285814 ;\n", + "Epoch 540/1000, Cost: 4.3859\n", + " and the parameters are [-2.80085967 3.80966864] -4.967849007717296 ;\n", + "Epoch 540/1000, Cost: 3.8076\n", + " and the parameters are [-2.80087834 3.80960948] -4.9679033810695366 ;\n", + "Epoch 540/1000, Cost: 3.8361\n", + " and the parameters are [-2.80094033 3.80949427] -4.967962313898729 ;\n", + "Epoch 540/1000, Cost: 4.2518\n", + " and the parameters are [-2.80080743 3.80954863] -4.9680169333167585 ;\n", + "Epoch 540/1000, Cost: 4.7454\n", + " and the parameters are [-2.80085181 3.80943772] -4.968081430713886 ;\n", + "Epoch 540/1000, Cost: 2.3054\n", + " and the parameters are [-2.80089148 3.80940116] -4.968118772359068 ;\n", + "Epoch 540/1000, Cost: 3.7219\n", + " and the parameters are [-2.80094855 3.80943117] -4.968084003433852 ;\n", + "Epoch 540/1000, Cost: 2.0215\n", + " and the parameters are [-2.80094291 3.80940895] -4.968135471003558 ;\n", + "Epoch 540/1000, Cost: 6.4771\n", + " and the parameters are [-2.80090214 3.80925962] -4.968273586081455 ;\n", + "Epoch 540/1000, Cost: 5.2340\n", + " and the parameters are [-2.80099496 3.80917775] -4.968302795669417 ;\n", + "Epoch 540/1000, Cost: 1.3999\n", + " and the parameters are [-2.80101825 3.80922749] -4.96828290156999 ;\n", + "Epoch 540/1000, Cost: 3.1560\n", + " and the parameters are [-2.8010422 3.80923531] -4.968286755911267 ;\n", + "Epoch 540/1000, Cost: 3.6983\n", + " and the parameters are [-2.80102452 3.8092318 ] -4.968339555940283 ;\n", + "Epoch 540/1000, Cost: 4.6607\n", + " and the parameters are [-2.80102396 3.80922993] -4.968365098850901 ;\n", + "Epoch 540/1000, Cost: 6.3206\n", + " and the parameters are [-2.80110873 3.80914753] -4.968400619221246 ;\n", + "Epoch 540/1000, Cost: 3.2889\n", + " and the parameters are [-2.80108923 3.80916464] -4.968428875806014 ;\n", + "Epoch 540/1000, Cost: 4.8308\n", + " and the parameters are [-2.80116366 3.80924242] -4.9683584538045915 ;\n", + "Epoch 540/1000, Cost: 1.9961\n", + " and the parameters are [-2.80117861 3.80925484] -4.968367298350011 ;\n", + "Epoch 540/1000, Cost: 3.0068\n", + " and the parameters are [-2.80116882 3.80935483] -4.968326020910213 ;\n", + "Epoch 540/1000, Cost: 4.7598\n", + " and the parameters are [-2.80124721 3.80934347] -4.968303955963446 ;\n", + "Epoch 540/1000, Cost: 3.5345\n", + " and the parameters are [-2.80132732 3.80924163] -4.9683314797963245 ;\n", + "Epoch 540/1000, Cost: 3.7879\n", + " and the parameters are [-2.80140675 3.8091419 ] -4.968378868354124 ;\n", + "Epoch 540/1000, Cost: 4.2364\n", + " and the parameters are [-2.80136877 3.80928531] -4.9683131612573925 ;\n", + "Epoch 540/1000, Cost: 3.6451\n", + " and the parameters are [-2.80142354 3.80922672] -4.968349456754778 ;\n", + "Epoch 540/1000, Cost: 2.2451\n", + " and the parameters are [-2.8014387 3.80928877] -4.968327519189847 ;\n", + "Epoch 540/1000, Cost: 3.6841\n", + " and the parameters are [-2.80144955 3.809242 ] -4.968370089883644 ;\n", + "Epoch 540/1000, Cost: 2.4099\n", + " and the parameters are [-2.80143397 3.80918663] -4.968435024300695 ;\n", + "Epoch 540/1000, Cost: 1.3671\n", + " and the parameters are [-2.80140452 3.80926612] -4.968412577430165 ;\n", + "Epoch 540/1000, Cost: 1.5172\n", + " and the parameters are [-2.8013939 3.8093374] -4.968394677484768 ;\n", + "Epoch 540/1000, Cost: 2.5764\n", + " and the parameters are [-2.80137396 3.80944539] -4.968361039450055 ;\n", + "Epoch 540/1000, Cost: 2.9508\n", + " and the parameters are [-2.80131169 3.80961329] -4.968292244243762 ;\n", + "Epoch 540/1000, Cost: 1.3448\n", + " and the parameters are [-2.8012916 3.80970119] -4.968266381150938 ;\n", + "Epoch 540/1000, Cost: 2.4710\n", + " and the parameters are [-2.80125187 3.80970351] -4.9683040164730805 ;\n", + "Epoch 540/1000, Cost: 10.1437\n", + " and the parameters are [-2.80141892 3.809528 ] -4.96831459887164 ;\n", + "Epoch 540/1000, Cost: 1.1444\n", + " and the parameters are [-2.80144518 3.80952936] -4.96832535325399 ;\n", + "Epoch 540/1000, Cost: 3.7615\n", + " and the parameters are [-2.80148321 3.80955894] -4.968317259361993 ;\n", + "Epoch 540/1000, Cost: 2.7790\n", + " and the parameters are [-2.80150652 3.8095798 ] -4.968312296000533 ;\n", + "Epoch 540/1000, Cost: 3.2917\n", + " and the parameters are [-2.80153817 3.80956215] -4.968342174096998 ;\n", + "Epoch 540/1000, Cost: 1.7898\n", + " and the parameters are [-2.80157523 3.80958972] -4.968322505186584 ;\n", + "Epoch 540/1000, Cost: 2.9491\n", + " and the parameters are [-2.80160127 3.80959344] -4.968322526138021 ;\n", + "Epoch 540/1000, Cost: 3.0564\n", + " and the parameters are [-2.8015892 3.80952078] -4.968421309900948 ;\n", + "Epoch 540/1000, Cost: 3.2522\n", + " and the parameters are [-2.80164977 3.80950661] -4.968443503243882 ;\n", + "Epoch 540/1000, Cost: 7.5320\n", + " and the parameters are [-2.80165508 3.80953402] -4.968398189543269 ;\n", + "Epoch 540/1000, Cost: 4.0926\n", + " and the parameters are [-2.80170535 3.80949425] -4.96842353658739 ;\n", + "Epoch 540/1000, Cost: 1.7464\n", + " and the parameters are [-2.80169521 3.80958318] -4.968392932126918 ;\n", + "Epoch 540/1000, Cost: 2.0303\n", + " and the parameters are [-2.80165105 3.80962263] -4.968416190514737 ;\n", + "Epoch 540/1000, Cost: 1.5085\n", + " and the parameters are [-2.80161833 3.80962425] -4.9684623559581915 ;\n", + "Epoch 540/1000, Cost: 3.7584\n", + " and the parameters are [-2.80162988 3.80966974] -4.968455496235855 ;\n", + "Epoch 540/1000, Cost: 3.9231\n", + " and the parameters are [-2.80162787 3.80972622] -4.968430260304333 ;\n", + "Epoch 540/1000, Cost: 5.3151\n", + " and the parameters are [-2.80156212 3.80986561] -4.96838291240462 ;\n", + "Epoch 540/1000, Cost: 2.9725\n", + " and the parameters are [-2.80150618 3.80988146] -4.968439950058433 ;\n", + "Epoch 540/1000, Cost: 3.8698\n", + " and the parameters are [-2.80153668 3.80991647] -4.96841092422576 ;\n", + "Epoch 540/1000, Cost: 2.5244\n", + " and the parameters are [-2.80157826 3.80993438] -4.968381389843724 ;\n", + "Epoch 540/1000, Cost: 3.0624\n", + " and the parameters are [-2.8016576 3.80992651] -4.968379604219176 ;\n", + "Epoch 540/1000, Cost: 2.2882\n", + " and the parameters are [-2.80162629 3.80996177] -4.9683924451449295 ;\n", + "Epoch 540/1000, Cost: 1.8726\n", + " and the parameters are [-2.80158253 3.80999741] -4.9684124434691945 ;\n", + "Epoch 540/1000, Cost: 2.6808\n", + " and the parameters are [-2.80163033 3.81004029] -4.968388588640173 ;\n", + "Epoch 540/1000, Cost: 6.8873\n", + " and the parameters are [-2.80161805 3.81010367] -4.96835572553639 ;\n", + "Epoch 540/1000, Cost: 3.2008\n", + " and the parameters are [-2.801549 3.81022794] -4.968326193441629 ;\n", + "Epoch 540/1000, Cost: 1.5763\n", + " and the parameters are [-2.8015459 3.81028769] -4.968309950225189 ;\n", + "Epoch 540/1000, Cost: 2.5383\n", + " and the parameters are [-2.80157302 3.81035105] -4.968277902778935 ;\n", + "Epoch 540/1000, Cost: 1.8163\n", + " and the parameters are [-2.80160464 3.8103031 ] -4.968317427410257 ;\n", + "Epoch 540/1000, Cost: 1.5546\n", + " and the parameters are [-2.80162154 3.81032401] -4.968323581491741 ;\n", + "Epoch 540/1000, Cost: 4.3698\n", + " and the parameters are [-2.80173379 3.81018871] -4.968385107445723 ;\n", + "Epoch 540/1000, Cost: 1.1168\n", + " and the parameters are [-2.80175122 3.81017108] -4.968415945898969 ;\n", + "Epoch 540/1000, Cost: 1.4143\n", + " and the parameters are [-2.80176011 3.81020523] -4.968416271540741 ;\n", + "Epoch 540/1000, Cost: 1.9631\n", + " and the parameters are [-2.80175422 3.81027427] -4.968406501482842 ;\n", + "Epoch 540/1000, Cost: 1.6167\n", + " and the parameters are [-2.80178626 3.81028279] -4.968422005927552 ;\n", + "Epoch 540/1000, Cost: 3.5311\n", + " and the parameters are [-2.80183532 3.81028301] -4.968403683703267 ;\n", + "Epoch 540/1000, Cost: 1.9601\n", + " and the parameters are [-2.80182652 3.81029167] -4.968440226577096 ;\n", + "Epoch 540/1000, Cost: 4.1004\n", + " and the parameters are [-2.8018516 3.81026138] -4.968491132992253 ;\n", + "Epoch 540/1000, Cost: 3.0587\n", + " and the parameters are [-2.80190306 3.81029067] -4.968475244279144 ;\n", + "Epoch 540/1000, Cost: 1.4526\n", + " and the parameters are [-2.8018972 3.81028564] -4.968503811351643 ;\n", + "Epoch 540/1000, Cost: 2.0657\n", + " and the parameters are [-2.80195469 3.81029439] -4.9685018619456685 ;\n", + "Epoch 540/1000, Cost: 3.4200\n", + " and the parameters are [-2.80205106 3.81025805] -4.968508040104264 ;\n", + "Epoch 540/1000, Cost: 1.6575\n", + " and the parameters are [-2.80211171 3.81027803] -4.968482775323881 ;\n", + "Epoch 540/1000, Cost: 0.9886\n", + " and the parameters are [-2.8021092 3.81032477] -4.968472515686818 ;\n", + "Epoch 540/1000, Cost: 2.4146\n", + " and the parameters are [-2.80211563 3.8103914 ] -4.9684306400093865 ;\n", + "Epoch 540/1000, Cost: 1.1283\n", + " and the parameters are [-2.80211327 3.81045285] -4.968416934440298 ;\n", + "Epoch 540/1000, Cost: 2.9445\n", + " and the parameters are [-2.80212493 3.81040555] -4.968468418674664 ;\n", + "Epoch 540/1000, Cost: 8.7081\n", + " and the parameters are [-2.80216248 3.81043769] -4.968420035792406 ;\n", + "Epoch 540/1000, Cost: 3.0525\n", + " and the parameters are [-2.80216325 3.81043533] -4.968459987747181 ;\n", + "Epoch 540/1000, Cost: 3.0473\n", + " and the parameters are [-2.80213846 3.81046139] -4.96849186856322 ;\n", + "Epoch 550/1000, Cost: 1.7850\n", + " and the parameters are [-2.81531359 3.82672303] -4.991933316874188 ;\n", + "Epoch 550/1000, Cost: 2.7054\n", + " and the parameters are [-2.81532002 3.82675093] -4.991931865527923 ;\n", + "Epoch 550/1000, Cost: 1.8855\n", + " and the parameters are [-2.81531995 3.82675728] -4.991963590215801 ;\n", + "Epoch 550/1000, Cost: 2.3091\n", + " and the parameters are [-2.81536829 3.82680129] -4.9919164597245125 ;\n", + "Epoch 550/1000, Cost: 2.1823\n", + " and the parameters are [-2.81536046 3.82685352] -4.9919116078274115 ;\n", + "Epoch 550/1000, Cost: 6.1856\n", + " and the parameters are [-2.81536939 3.82677655] -4.991967521902889 ;\n", + "Epoch 550/1000, Cost: 0.9951\n", + " and the parameters are [-2.81537054 3.82679737] -4.991977933854874 ;\n", + "Epoch 550/1000, Cost: 0.8710\n", + " and the parameters are [-2.81536789 3.82682041] -4.991989358014785 ;\n", + "Epoch 550/1000, Cost: 3.7261\n", + " and the parameters are [-2.81542304 3.82676041] -4.992033019462395 ;\n", + "Epoch 550/1000, Cost: 1.9377\n", + " and the parameters are [-2.81543022 3.82676371] -4.992061894693756 ;\n", + "Epoch 550/1000, Cost: 1.8889\n", + " and the parameters are [-2.81547255 3.82677682] -4.992066739633513 ;\n", + "Epoch 550/1000, Cost: 3.7455\n", + " and the parameters are [-2.81546115 3.82676357] -4.992115875755694 ;\n", + "Epoch 550/1000, Cost: 2.2675\n", + " and the parameters are [-2.815498 3.82674067] -4.992152928788914 ;\n", + "Epoch 550/1000, Cost: 1.8287\n", + " and the parameters are [-2.81549494 3.8268257 ] -4.992127545268071 ;\n", + "Epoch 550/1000, Cost: 2.9551\n", + " and the parameters are [-2.81549487 3.82682985] -4.992152663927227 ;\n", + "Epoch 550/1000, Cost: 2.4479\n", + " and the parameters are [-2.81550847 3.82689236] -4.992132305241308 ;\n", + "Epoch 550/1000, Cost: 2.6212\n", + " and the parameters are [-2.81551865 3.82682896] -4.992204766567504 ;\n", + "Epoch 550/1000, Cost: 2.6780\n", + " and the parameters are [-2.81557713 3.82684088] -4.9922009042443465 ;\n", + "Epoch 550/1000, Cost: 0.9334\n", + " and the parameters are [-2.81559585 3.82686205] -4.9921996232402295 ;\n", + "Epoch 550/1000, Cost: 3.0378\n", + " and the parameters are [-2.81555493 3.82690799] -4.992214057139677 ;\n", + "Epoch 550/1000, Cost: 2.3287\n", + " and the parameters are [-2.81551742 3.82695739] -4.992241901753576 ;\n", + "Epoch 550/1000, Cost: 0.8446\n", + " and the parameters are [-2.81550438 3.82697957] -4.992256147456323 ;\n", + "Epoch 550/1000, Cost: 3.7300\n", + " and the parameters are [-2.81544534 3.82706638] -4.992233901194491 ;\n", + "Epoch 550/1000, Cost: 3.8367\n", + " and the parameters are [-2.81547537 3.82694062] -4.9923454796739275 ;\n", + "Epoch 550/1000, Cost: 4.7137\n", + " and the parameters are [-2.81553884 3.82695317] -4.992303312135628 ;\n", + "Epoch 550/1000, Cost: 3.1667\n", + " and the parameters are [-2.81552819 3.82694602] -4.992345520573461 ;\n", + "Epoch 550/1000, Cost: 0.8770\n", + " and the parameters are [-2.81554122 3.82694526] -4.992362009272226 ;\n", + "Epoch 550/1000, Cost: 4.7692\n", + " and the parameters are [-2.8155433 3.82684086] -4.992463660737128 ;\n", + "Epoch 550/1000, Cost: 3.2284\n", + " and the parameters are [-2.81554719 3.82691593] -4.992430950607342 ;\n", + "Epoch 550/1000, Cost: 5.1110\n", + " and the parameters are [-2.81555148 3.82695722] -4.99241419907399 ;\n", + "Epoch 550/1000, Cost: 2.9640\n", + " and the parameters are [-2.81553788 3.82696466] -4.9924492258921935 ;\n", + "Epoch 550/1000, Cost: 4.2959\n", + " and the parameters are [-2.81555209 3.82685393] -4.992556410050372 ;\n", + "Epoch 550/1000, Cost: 2.3001\n", + " and the parameters are [-2.81552825 3.82692368] -4.992547674406389 ;\n", + "Epoch 550/1000, Cost: 1.9336\n", + " and the parameters are [-2.81553254 3.82697658] -4.992541362366682 ;\n", + "Epoch 550/1000, Cost: 3.9348\n", + " and the parameters are [-2.81551173 3.82698951] -4.992542555098494 ;\n", + "Epoch 550/1000, Cost: 5.3432\n", + " and the parameters are [-2.81552536 3.82698339] -4.992543997692807 ;\n", + "Epoch 550/1000, Cost: 1.5844\n", + " and the parameters are [-2.81549864 3.82709712] -4.992508303733222 ;\n", + "Epoch 550/1000, Cost: 7.2703\n", + " and the parameters are [-2.81561193 3.8269314 ] -4.992576369033295 ;\n", + "Epoch 550/1000, Cost: 2.7202\n", + " and the parameters are [-2.81564654 3.82704566] -4.992498900100202 ;\n", + "Epoch 550/1000, Cost: 5.0327\n", + " and the parameters are [-2.81571716 3.82691046] -4.992569237472807 ;\n", + "Epoch 550/1000, Cost: 6.3109\n", + " and the parameters are [-2.81574082 3.82680463] -4.992641861794848 ;\n", + "Epoch 550/1000, Cost: 2.0661\n", + " and the parameters are [-2.81578538 3.82671888] -4.992714888975291 ;\n", + "Epoch 550/1000, Cost: 2.2761\n", + " and the parameters are [-2.81572468 3.82686611] -4.9926720695383136 ;\n", + "Epoch 550/1000, Cost: 4.3012\n", + " and the parameters are [-2.81566997 3.82702583] -4.992601302213654 ;\n", + "Epoch 550/1000, Cost: 2.9994\n", + " and the parameters are [-2.81575038 3.82696441] -4.99262092649235 ;\n", + "Epoch 550/1000, Cost: 3.4227\n", + " and the parameters are [-2.81576827 3.82689175] -4.992696878862208 ;\n", + "Epoch 550/1000, Cost: 2.5669\n", + " and the parameters are [-2.81574947 3.82686313] -4.992766913289784 ;\n", + "Epoch 550/1000, Cost: 2.5383\n", + " and the parameters are [-2.81573776 3.82696503] -4.992730450231376 ;\n", + "Epoch 550/1000, Cost: 2.5157\n", + " and the parameters are [-2.81574748 3.82701599] -4.992709940032902 ;\n", + "Epoch 550/1000, Cost: 1.5179\n", + " and the parameters are [-2.81579388 3.82704844] -4.992679799508281 ;\n", + "Epoch 550/1000, Cost: 4.2811\n", + " and the parameters are [-2.81585608 3.82697954] -4.992719941666597 ;\n", + "Epoch 550/1000, Cost: 1.5744\n", + " and the parameters are [-2.81583135 3.82698468] -4.9927569566749606 ;\n", + "Epoch 550/1000, Cost: 3.3166\n", + " and the parameters are [-2.81581461 3.82706323] -4.992743763991426 ;\n", + "Epoch 550/1000, Cost: 3.3228\n", + " and the parameters are [-2.81580915 3.82711367] -4.992740420789807 ;\n", + "Epoch 550/1000, Cost: 2.7281\n", + " and the parameters are [-2.81578869 3.82715189] -4.992749150894548 ;\n", + "Epoch 550/1000, Cost: 2.9081\n", + " and the parameters are [-2.81576292 3.82712928] -4.992829972941186 ;\n", + "Epoch 550/1000, Cost: 2.8210\n", + " and the parameters are [-2.81574004 3.82712465] -4.9928914186016335 ;\n", + "Epoch 550/1000, Cost: 4.6153\n", + " and the parameters are [-2.81567626 3.82707098] -4.9929833308175215 ;\n", + "Epoch 550/1000, Cost: 10.4551\n", + " and the parameters are [-2.81561565 3.82722253] -4.992878872730514 ;\n", + "Epoch 550/1000, Cost: 1.9172\n", + " and the parameters are [-2.8155735 3.82724007] -4.9929249843310535 ;\n", + "Epoch 550/1000, Cost: 2.0266\n", + " and the parameters are [-2.81559389 3.82722551] -4.992954177330521 ;\n", + "Epoch 550/1000, Cost: 2.0603\n", + " and the parameters are [-2.81568072 3.82714466] -4.992995556454423 ;\n", + "Epoch 550/1000, Cost: 5.1780\n", + " and the parameters are [-2.81566091 3.82703404] -4.9930969315027465 ;\n", + "Epoch 550/1000, Cost: 2.6352\n", + " and the parameters are [-2.81570066 3.82711344] -4.9930370887488085 ;\n", + "Epoch 550/1000, Cost: 4.3314\n", + " and the parameters are [-2.81578747 3.82689615] -4.993192517915023 ;\n", + "Epoch 550/1000, Cost: 3.5004\n", + " and the parameters are [-2.81579615 3.8269846 ] -4.993154031849178 ;\n", + "Epoch 550/1000, Cost: 3.1781\n", + " and the parameters are [-2.81585386 3.82688095] -4.993234387863877 ;\n", + "Epoch 550/1000, Cost: 3.6870\n", + " and the parameters are [-2.81595291 3.82677036] -4.993284272805843 ;\n", + "Epoch 550/1000, Cost: 2.4142\n", + " and the parameters are [-2.81601683 3.82683712] -4.993230233512617 ;\n", + "Epoch 550/1000, Cost: 3.0754\n", + " and the parameters are [-2.8159682 3.82697685] -4.993189138393707 ;\n", + "Epoch 550/1000, Cost: 4.5881\n", + " and the parameters are [-2.81588028 3.8271079 ] -4.993155492837954 ;\n", + "Epoch 550/1000, Cost: 3.5904\n", + " and the parameters are [-2.81584429 3.82707706] -4.993225256717478 ;\n", + "Epoch 550/1000, Cost: 3.1746\n", + " and the parameters are [-2.81584876 3.82701359] -4.993297459822694 ;\n", + "Epoch 550/1000, Cost: 2.6940\n", + " and the parameters are [-2.8158877 3.82699258] -4.9933246100017765 ;\n", + "Epoch 550/1000, Cost: 1.4100\n", + " and the parameters are [-2.8159005 3.82703496] -4.9933113228539385 ;\n", + "Epoch 550/1000, Cost: 5.1437\n", + " and the parameters are [-2.81603087 3.82701056] -4.993266345226236 ;\n", + "Epoch 550/1000, Cost: 4.7838\n", + " and the parameters are [-2.8161004 3.82704855] -4.993231412967455 ;\n", + "Epoch 550/1000, Cost: 2.1813\n", + " and the parameters are [-2.81607374 3.82704599] -4.99327030148298 ;\n", + "Epoch 550/1000, Cost: 2.8471\n", + " and the parameters are [-2.81608669 3.82711026] -4.993247721196819 ;\n", + "Epoch 550/1000, Cost: 1.4455\n", + " and the parameters are [-2.81608839 3.82716426] -4.993236699265091 ;\n", + "Epoch 550/1000, Cost: 2.1558\n", + " and the parameters are [-2.81607745 3.82716397] -4.993277263002462 ;\n", + "Epoch 550/1000, Cost: 1.9688\n", + " and the parameters are [-2.81604253 3.82715149] -4.993312425280571 ;\n", + "Epoch 550/1000, Cost: 2.1663\n", + " and the parameters are [-2.81600819 3.82719048] -4.99332360460623 ;\n", + "Epoch 550/1000, Cost: 5.1376\n", + " and the parameters are [-2.81610949 3.82720274] -4.993264144217923 ;\n", + "Epoch 550/1000, Cost: 1.9507\n", + " and the parameters are [-2.81611473 3.82724912] -4.993257280622989 ;\n", + "Epoch 550/1000, Cost: 3.4023\n", + " and the parameters are [-2.81622205 3.82711028] -4.993329469423197 ;\n", + "Epoch 550/1000, Cost: 2.8554\n", + " and the parameters are [-2.81619826 3.82703346] -4.9934168923124576 ;\n", + "Epoch 550/1000, Cost: 3.1325\n", + " and the parameters are [-2.81627553 3.82703894] -4.993403051978453 ;\n", + "Epoch 550/1000, Cost: 2.0457\n", + " and the parameters are [-2.81634093 3.82703774] -4.99340167178518 ;\n", + "Epoch 550/1000, Cost: 3.2543\n", + " and the parameters are [-2.81642065 3.82707955] -4.993336098869586 ;\n", + "Epoch 550/1000, Cost: 6.7839\n", + " and the parameters are [-2.81639158 3.82706621] -4.993364290233359 ;\n", + "Epoch 550/1000, Cost: 1.0207\n", + " and the parameters are [-2.81637208 3.82711807] -4.993356613496369 ;\n", + "Epoch 550/1000, Cost: 1.7176\n", + " and the parameters are [-2.8163884 3.82713842] -4.993367977275415 ;\n", + "Epoch 550/1000, Cost: 2.3537\n", + " and the parameters are [-2.81639838 3.8271952 ] -4.993338358718328 ;\n", + "Epoch 550/1000, Cost: 2.5420\n", + " and the parameters are [-2.81641022 3.82722701] -4.993331039802956 ;\n", + "Epoch 550/1000, Cost: 2.6386\n", + " and the parameters are [-2.81647213 3.82722315] -4.993335384278632 ;\n", + "Epoch 550/1000, Cost: 5.9653\n", + " and the parameters are [-2.81649342 3.82734937] -4.993240828820935 ;\n", + "Epoch 550/1000, Cost: 6.1643\n", + " and the parameters are [-2.81641404 3.82735262] -4.993317806605534 ;\n", + "Epoch 550/1000, Cost: 2.0445\n", + " and the parameters are [-2.81644863 3.82732783] -4.99335651097752 ;\n", + "Epoch 550/1000, Cost: 3.8175\n", + " and the parameters are [-2.81637184 3.82732899] -4.993423153251253 ;\n", + "Epoch 550/1000, Cost: 4.5684\n", + " and the parameters are [-2.81650411 3.82735283] -4.993349142163482 ;\n", + "Epoch 550/1000, Cost: 1.9842\n", + " and the parameters are [-2.81654571 3.82734185] -4.993357939573176 ;\n", + "Epoch 550/1000, Cost: 3.8668\n", + " and the parameters are [-2.81652023 3.82737581] -4.99338694932501 ;\n", + "Epoch 550/1000, Cost: 3.4330\n", + " and the parameters are [-2.81650136 3.82734183] -4.993441743438066 ;\n", + "Epoch 550/1000, Cost: 3.3418\n", + " and the parameters are [-2.81649161 3.82730016] -4.993509112724409 ;\n", + "Epoch 550/1000, Cost: 3.7012\n", + " and the parameters are [-2.81651879 3.82734521] -4.993477828592003 ;\n", + "Epoch 550/1000, Cost: 5.4717\n", + " and the parameters are [-2.81655665 3.82719916] -4.993563328445597 ;\n", + "Epoch 550/1000, Cost: 3.6299\n", + " and the parameters are [-2.81662827 3.82725422] -4.9935148010985335 ;\n", + "Epoch 550/1000, Cost: 3.2943\n", + " and the parameters are [-2.81660353 3.82718575] -4.9935970473351174 ;\n", + "Epoch 550/1000, Cost: 3.1696\n", + " and the parameters are [-2.8165862 3.82723424] -4.993607541475451 ;\n", + "Epoch 550/1000, Cost: 6.5916\n", + " and the parameters are [-2.81659964 3.82739672] -4.993478179278034 ;\n", + "Epoch 550/1000, Cost: 4.4933\n", + " and the parameters are [-2.81656344 3.82738072] -4.993533066932558 ;\n", + "Epoch 550/1000, Cost: 0.7999\n", + " and the parameters are [-2.81657259 3.82737753] -4.993550518174528 ;\n", + "Epoch 550/1000, Cost: 1.7915\n", + " and the parameters are [-2.81651878 3.82744695] -4.993556929214833 ;\n", + "Epoch 550/1000, Cost: 0.7229\n", + " and the parameters are [-2.81652696 3.82746265] -4.99356225340845 ;\n", + "Epoch 550/1000, Cost: 3.9551\n", + " and the parameters are [-2.81652788 3.8275221 ] -4.99352744564746 ;\n", + "Epoch 550/1000, Cost: 5.1305\n", + " and the parameters are [-2.81655709 3.82748198] -4.993546269987207 ;\n", + "Epoch 550/1000, Cost: 2.5121\n", + " and the parameters are [-2.81659679 3.82746466] -4.993551699723629 ;\n", + "Epoch 550/1000, Cost: 1.9827\n", + " and the parameters are [-2.81658869 3.82749941] -4.993559458002749 ;\n", + "Epoch 550/1000, Cost: 4.6939\n", + " and the parameters are [-2.81658424 3.82744456] -4.993628875526399 ;\n", + "Epoch 550/1000, Cost: 2.3385\n", + " and the parameters are [-2.81659928 3.82752533] -4.993598484669305 ;\n", + "Epoch 550/1000, Cost: 1.7589\n", + " and the parameters are [-2.81661144 3.82753389] -4.993611340953699 ;\n", + "Epoch 550/1000, Cost: 2.4062\n", + " and the parameters are [-2.81660603 3.82761165] -4.993567647203418 ;\n", + "Epoch 550/1000, Cost: 4.0603\n", + " and the parameters are [-2.81658577 3.82766723] -4.993565552695869 ;\n", + "Epoch 550/1000, Cost: 3.8142\n", + " and the parameters are [-2.81662418 3.82761694] -4.99361249926828 ;\n", + "Epoch 550/1000, Cost: 4.1154\n", + " and the parameters are [-2.81661552 3.82754301] -4.993698747402065 ;\n", + "Epoch 550/1000, Cost: 6.6413\n", + " and the parameters are [-2.81657758 3.82751622] -4.993741169823718 ;\n", + "Epoch 550/1000, Cost: 4.4274\n", + " and the parameters are [-2.81656458 3.82768694] -4.993653233593568 ;\n", + "Epoch 550/1000, Cost: 4.0643\n", + " and the parameters are [-2.81659507 3.82765956] -4.993686776215953 ;\n", + "Epoch 550/1000, Cost: 3.5237\n", + " and the parameters are [-2.81662793 3.82764191] -4.993706169787728 ;\n", + "Epoch 550/1000, Cost: 1.0166\n", + " and the parameters are [-2.8166283 3.82769174] -4.993694980474823 ;\n", + "Epoch 550/1000, Cost: 1.7850\n", + " and the parameters are [-2.8166047 3.82773012] -4.993706715349784 ;\n", + "Epoch 550/1000, Cost: 5.7422\n", + " and the parameters are [-2.81666091 3.82767693] -4.993707222348349 ;\n", + "Epoch 550/1000, Cost: 6.8018\n", + " and the parameters are [-2.8166919 3.82755503] -4.993791899634008 ;\n", + "Epoch 550/1000, Cost: 3.5896\n", + " and the parameters are [-2.8167353 3.82751833] -4.993841903047414 ;\n", + "Epoch 550/1000, Cost: 1.2233\n", + " and the parameters are [-2.8167445 3.82756771] -4.993830849392426 ;\n", + "Epoch 550/1000, Cost: 3.9565\n", + " and the parameters are [-2.81684166 3.82748586] -4.99385614218478 ;\n", + "Epoch 550/1000, Cost: 1.0979\n", + " and the parameters are [-2.81682566 3.82751322] -4.993874014245523 ;\n", + "Epoch 550/1000, Cost: 1.8915\n", + " and the parameters are [-2.81684148 3.82753236] -4.993884367029209 ;\n", + "Epoch 550/1000, Cost: 3.1334\n", + " and the parameters are [-2.81682401 3.82756107] -4.993914420615132 ;\n", + "Epoch 550/1000, Cost: 3.9482\n", + " and the parameters are [-2.81682166 3.82756989] -4.993932850941365 ;\n", + "Epoch 550/1000, Cost: 5.2540\n", + " and the parameters are [-2.81689404 3.82761964] -4.993868650549256 ;\n", + "Epoch 550/1000, Cost: 4.1518\n", + " and the parameters are [-2.8168246 3.82761561] -4.993934598625133 ;\n", + "Epoch 550/1000, Cost: 1.9267\n", + " and the parameters are [-2.81688093 3.82755684] -4.993973718045919 ;\n", + "Epoch 550/1000, Cost: 3.3365\n", + " and the parameters are [-2.81689305 3.82754961] -4.993977323955452 ;\n", + "Epoch 550/1000, Cost: 6.4879\n", + " and the parameters are [-2.81683305 3.82759446] -4.993956398774029 ;\n", + "Epoch 550/1000, Cost: 1.4105\n", + " and the parameters are [-2.81682021 3.82764896] -4.993947964961359 ;\n", + "Epoch 550/1000, Cost: 1.9231\n", + " and the parameters are [-2.81681194 3.82767977] -4.993960852690451 ;\n", + "Epoch 550/1000, Cost: 6.9788\n", + " and the parameters are [-2.81681596 3.82767307] -4.993968310182826 ;\n", + "Epoch 550/1000, Cost: 4.4396\n", + " and the parameters are [-2.81680276 3.82772565] -4.9939557007550235 ;\n", + "Epoch 550/1000, Cost: 2.7396\n", + " and the parameters are [-2.81682592 3.82777415] -4.993933770199575 ;\n", + "Epoch 550/1000, Cost: 4.7304\n", + " and the parameters are [-2.81678852 3.82772009] -4.993998713975907 ;\n", + "Epoch 550/1000, Cost: 1.2356\n", + " and the parameters are [-2.8168074 3.82772131] -4.994010940728107 ;\n", + "Epoch 550/1000, Cost: 3.6279\n", + " and the parameters are [-2.81688768 3.82764468] -4.99404948156369 ;\n", + "Epoch 550/1000, Cost: 1.0433\n", + " and the parameters are [-2.816869 3.82768746] -4.9940531709654685 ;\n", + "Epoch 550/1000, Cost: 1.3553\n", + " and the parameters are [-2.81687238 3.82775474] -4.994032379821848 ;\n", + "Epoch 550/1000, Cost: 4.5351\n", + " and the parameters are [-2.81686054 3.82788847] -4.993961591037502 ;\n", + "Epoch 550/1000, Cost: 2.8474\n", + " and the parameters are [-2.81686389 3.82789291] -4.9939806895189385 ;\n", + "Epoch 550/1000, Cost: 3.3807\n", + " and the parameters are [-2.81689543 3.82801286] -4.993881926253727 ;\n", + "Epoch 550/1000, Cost: 2.0135\n", + " and the parameters are [-2.816878 3.82799722] -4.993927843789267 ;\n", + "Epoch 550/1000, Cost: 2.2273\n", + " and the parameters are [-2.81683751 3.82803878] -4.993954115306184 ;\n", + "Epoch 550/1000, Cost: 3.3209\n", + " and the parameters are [-2.81679367 3.82797251] -4.994060540741034 ;\n", + "Epoch 550/1000, Cost: 4.8330\n", + " and the parameters are [-2.81676609 3.82801265] -4.994061615723764 ;\n", + "Epoch 550/1000, Cost: 3.3129\n", + " and the parameters are [-2.81676629 3.82804713] -4.994053853052406 ;\n", + "Epoch 550/1000, Cost: 3.6436\n", + " and the parameters are [-2.81683041 3.82815166] -4.993963701021781 ;\n", + "Epoch 550/1000, Cost: 3.3306\n", + " and the parameters are [-2.81683341 3.82820001] -4.993958566064968 ;\n", + "Epoch 550/1000, Cost: 3.7087\n", + " and the parameters are [-2.81683589 3.82808903] -4.994058041404819 ;\n", + "Epoch 550/1000, Cost: 7.3256\n", + " and the parameters are [-2.81682118 3.82809547] -4.994057913369166 ;\n", + "Epoch 550/1000, Cost: 4.7579\n", + " and the parameters are [-2.81678257 3.82809993] -4.994088113412399 ;\n", + "Epoch 550/1000, Cost: 2.0362\n", + " and the parameters are [-2.81669177 3.82815178] -4.994125414562166 ;\n", + "Epoch 550/1000, Cost: 5.0315\n", + " and the parameters are [-2.81675047 3.82799062] -4.994229652104535 ;\n", + "Epoch 550/1000, Cost: 2.3289\n", + " and the parameters are [-2.81676171 3.82805086] -4.994210330410623 ;\n", + "Epoch 550/1000, Cost: 3.5793\n", + " and the parameters are [-2.81678086 3.82819523] -4.994122043595195 ;\n", + "Epoch 550/1000, Cost: 2.9637\n", + " and the parameters are [-2.81680643 3.82815368] -4.994171565044558 ;\n", + "Epoch 550/1000, Cost: 1.2401\n", + " and the parameters are [-2.81680616 3.82817533] -4.994185660971231 ;\n", + "Epoch 550/1000, Cost: 5.4997\n", + " and the parameters are [-2.81682192 3.82820477] -4.994148309027125 ;\n", + "Epoch 550/1000, Cost: 1.9557\n", + " and the parameters are [-2.81682489 3.82815441] -4.994214147639983 ;\n", + "Epoch 550/1000, Cost: 1.1553\n", + " and the parameters are [-2.8167729 3.82820307] -4.994228823062013 ;\n", + "Epoch 550/1000, Cost: 3.8076\n", + " and the parameters are [-2.81677513 3.82824404] -4.9942205463826 ;\n", + "Epoch 550/1000, Cost: 4.7280\n", + " and the parameters are [-2.81678172 3.82813111] -4.9943146208895834 ;\n", + "Epoch 550/1000, Cost: 4.1067\n", + " and the parameters are [-2.81680448 3.82808705] -4.99434222754976 ;\n", + "Epoch 550/1000, Cost: 4.4619\n", + " and the parameters are [-2.81683328 3.82804997] -4.994369252309509 ;\n", + "Epoch 550/1000, Cost: 2.6464\n", + " and the parameters are [-2.81681809 3.82805429] -4.994400982317353 ;\n", + "Epoch 550/1000, Cost: 1.5777\n", + " and the parameters are [-2.81678029 3.82812177] -4.994398862392258 ;\n", + "Epoch 550/1000, Cost: 1.7107\n", + " and the parameters are [-2.81677681 3.82821248] -4.994362759827183 ;\n", + "Epoch 550/1000, Cost: 1.5931\n", + " and the parameters are [-2.81675302 3.82828101] -4.994349369688342 ;\n", + "Epoch 550/1000, Cost: 3.4154\n", + " and the parameters are [-2.81678873 3.82819762] -4.994423188184341 ;\n", + "Epoch 550/1000, Cost: 1.5787\n", + " and the parameters are [-2.81672619 3.82823314] -4.994458620301979 ;\n", + "Epoch 550/1000, Cost: 4.7785\n", + " and the parameters are [-2.81686462 3.828004 ] -4.994578500210578 ;\n", + "Epoch 550/1000, Cost: 5.3735\n", + " and the parameters are [-2.81682987 3.82804573] -4.994573546660156 ;\n", + "Epoch 550/1000, Cost: 3.1893\n", + " and the parameters are [-2.81679059 3.82809857] -4.9945680991711106 ;\n", + "Epoch 550/1000, Cost: 1.3079\n", + " and the parameters are [-2.81677529 3.82810913] -4.994601903288115 ;\n", + "Epoch 550/1000, Cost: 4.6037\n", + " and the parameters are [-2.81663088 3.82834456] -4.994521219361481 ;\n", + "Epoch 550/1000, Cost: 4.2670\n", + " and the parameters are [-2.81660418 3.8284582 ] -4.994480620949835 ;\n", + "Epoch 550/1000, Cost: 1.2834\n", + " and the parameters are [-2.81659594 3.82844029] -4.994524470122155 ;\n", + "Epoch 550/1000, Cost: 1.7056\n", + " and the parameters are [-2.81659832 3.82845719] -4.994545918442029 ;\n", + "Epoch 550/1000, Cost: 8.7073\n", + " and the parameters are [-2.81660465 3.82850177] -4.9944762781245196 ;\n", + "Epoch 550/1000, Cost: 2.9340\n", + " and the parameters are [-2.81665654 3.82847785] -4.994493418937875 ;\n", + "Epoch 550/1000, Cost: 2.3219\n", + " and the parameters are [-2.81665034 3.82860774] -4.994432989989481 ;\n", + "Epoch 550/1000, Cost: 2.5138\n", + " and the parameters are [-2.81673369 3.82853488] -4.994477703859128 ;\n", + "Epoch 560/1000, Cost: 6.0463\n", + " and the parameters are [-2.82972743 3.84459296] -5.017416396266943 ;\n", + "Epoch 560/1000, Cost: 10.2809\n", + " and the parameters are [-2.8297444 3.844527 ] -5.017420069775714 ;\n", + "Epoch 560/1000, Cost: 4.8448\n", + " and the parameters are [-2.82974427 3.84447945] -5.01746236649038 ;\n", + "Epoch 560/1000, Cost: 2.4525\n", + " and the parameters are [-2.82980413 3.84444313] -5.017476839104952 ;\n", + "Epoch 560/1000, Cost: 2.1206\n", + " and the parameters are [-2.82977802 3.84443256] -5.017526892349585 ;\n", + "Epoch 560/1000, Cost: 2.8206\n", + " and the parameters are [-2.82975398 3.84457202] -5.017451669629469 ;\n", + "Epoch 560/1000, Cost: 2.6127\n", + " and the parameters are [-2.82979715 3.84465263] -5.017395725307289 ;\n", + "Epoch 560/1000, Cost: 1.8202\n", + " and the parameters are [-2.82983973 3.84465923] -5.017393614693108 ;\n", + "Epoch 560/1000, Cost: 1.3310\n", + " and the parameters are [-2.82983339 3.8446959 ] -5.017400631145741 ;\n", + "Epoch 560/1000, Cost: 5.8724\n", + " and the parameters are [-2.82976905 3.8447906 ] -5.017376236857136 ;\n", + "Epoch 560/1000, Cost: 3.0939\n", + " and the parameters are [-2.82982946 3.84467736] -5.0174664417213055 ;\n", + "Epoch 560/1000, Cost: 1.8984\n", + " and the parameters are [-2.82981419 3.84475415] -5.01743785801568 ;\n", + "Epoch 560/1000, Cost: 2.7753\n", + " and the parameters are [-2.82983615 3.84476058] -5.017451933570751 ;\n", + "Epoch 560/1000, Cost: 3.9805\n", + " and the parameters are [-2.82982212 3.84472653] -5.017496059197918 ;\n", + "Epoch 560/1000, Cost: 4.5285\n", + " and the parameters are [-2.82985983 3.84481245] -5.01745285980063 ;\n", + "Epoch 560/1000, Cost: 1.5745\n", + " and the parameters are [-2.82982847 3.84484795] -5.017472500912637 ;\n", + "Epoch 560/1000, Cost: 4.4075\n", + " and the parameters are [-2.82979958 3.84487664] -5.01749865726297 ;\n", + "Epoch 560/1000, Cost: 3.6170\n", + " and the parameters are [-2.82982271 3.84488242] -5.017513895585945 ;\n", + "Epoch 560/1000, Cost: 2.8634\n", + " and the parameters are [-2.82976533 3.84500102] -5.017489914889096 ;\n", + "Epoch 560/1000, Cost: 2.3770\n", + " and the parameters are [-2.82975332 3.84501897] -5.017507189812754 ;\n", + "Epoch 560/1000, Cost: 1.6929\n", + " and the parameters are [-2.82978338 3.84499339] -5.017530013464846 ;\n", + "Epoch 560/1000, Cost: 3.7628\n", + " and the parameters are [-2.82977252 3.84510527] -5.017486016704192 ;\n", + "Epoch 560/1000, Cost: 6.8342\n", + " and the parameters are [-2.82984462 3.84497313] -5.0175647625728095 ;\n", + "Epoch 560/1000, Cost: 1.0331\n", + " and the parameters are [-2.82986942 3.84499165] -5.017564146536719 ;\n", + "Epoch 560/1000, Cost: 1.5662\n", + " and the parameters are [-2.82987116 3.84502477] -5.017566975980799 ;\n", + "Epoch 560/1000, Cost: 2.3454\n", + " and the parameters are [-2.82984209 3.84508668] -5.0175652339104655 ;\n", + "Epoch 560/1000, Cost: 5.2533\n", + " and the parameters are [-2.82984533 3.84506072] -5.017579234911758 ;\n", + "Epoch 560/1000, Cost: 5.0469\n", + " and the parameters are [-2.8298036 3.84502283] -5.017664495751138 ;\n", + "Epoch 560/1000, Cost: 1.1603\n", + " and the parameters are [-2.82980604 3.84506831] -5.017654547011392 ;\n", + "Epoch 560/1000, Cost: 4.9653\n", + " and the parameters are [-2.82973782 3.84523507] -5.017580518577693 ;\n", + "Epoch 560/1000, Cost: 5.0051\n", + " and the parameters are [-2.82965787 3.84518359] -5.017673099884962 ;\n", + "Epoch 560/1000, Cost: 1.6050\n", + " and the parameters are [-2.82970467 3.84518576] -5.017671011176954 ;\n", + "Epoch 560/1000, Cost: 4.7198\n", + " and the parameters are [-2.8297121 3.84521127] -5.017666332459666 ;\n", + "Epoch 560/1000, Cost: 1.8479\n", + " and the parameters are [-2.82968191 3.8452355 ] -5.017697420111336 ;\n", + "Epoch 560/1000, Cost: 2.3407\n", + " and the parameters are [-2.82973196 3.84522564] -5.017716516119838 ;\n", + "Epoch 560/1000, Cost: 1.6788\n", + " and the parameters are [-2.82971485 3.84524037] -5.017742482474673 ;\n", + "Epoch 560/1000, Cost: 1.6760\n", + " and the parameters are [-2.82969907 3.84528881] -5.017742500344107 ;\n", + "Epoch 560/1000, Cost: 2.3186\n", + " and the parameters are [-2.82966868 3.84524693] -5.017822206945661 ;\n", + "Epoch 560/1000, Cost: 3.3611\n", + " and the parameters are [-2.8296478 3.84531445] -5.017819014664355 ;\n", + "Epoch 560/1000, Cost: 2.4868\n", + " and the parameters are [-2.82966911 3.84533972] -5.017825468408811 ;\n", + "Epoch 560/1000, Cost: 2.5997\n", + " and the parameters are [-2.82971358 3.84528752] -5.017859096397492 ;\n", + "Epoch 560/1000, Cost: 4.5137\n", + " and the parameters are [-2.82973311 3.84543903] -5.0177576411082745 ;\n", + "Epoch 560/1000, Cost: 2.8207\n", + " and the parameters are [-2.82979321 3.84543292] -5.01775876794565 ;\n", + "Epoch 560/1000, Cost: 1.2552\n", + " and the parameters are [-2.82980104 3.84541133] -5.017798375444269 ;\n", + "Epoch 560/1000, Cost: 0.7807\n", + " and the parameters are [-2.82979226 3.8454457 ] -5.017800705951648 ;\n", + "Epoch 560/1000, Cost: 2.1533\n", + " and the parameters are [-2.82975475 3.84548926] -5.017823935958641 ;\n", + "Epoch 560/1000, Cost: 0.7657\n", + " and the parameters are [-2.82977462 3.8455098 ] -5.01781897001678 ;\n", + "Epoch 560/1000, Cost: 3.9214\n", + " and the parameters are [-2.82973698 3.84560096] -5.017780930348788 ;\n", + "Epoch 560/1000, Cost: 2.9178\n", + " and the parameters are [-2.82977201 3.84552552] -5.017835502476352 ;\n", + "Epoch 560/1000, Cost: 2.1451\n", + " and the parameters are [-2.82977516 3.84556483] -5.017838318344969 ;\n", + "Epoch 560/1000, Cost: 3.1211\n", + " and the parameters are [-2.82977178 3.84553935] -5.0178907137949365 ;\n", + "Epoch 560/1000, Cost: 2.3242\n", + " and the parameters are [-2.8297165 3.84562569] -5.017882115817562 ;\n", + "Epoch 560/1000, Cost: 3.0002\n", + " and the parameters are [-2.82975392 3.84560356] -5.017915461723542 ;\n", + "Epoch 560/1000, Cost: 2.3922\n", + " and the parameters are [-2.82975093 3.84559704] -5.017936361243088 ;\n", + "Epoch 560/1000, Cost: 2.9237\n", + " and the parameters are [-2.82975572 3.84562421] -5.017941309369113 ;\n", + "Epoch 560/1000, Cost: 1.4437\n", + " and the parameters are [-2.82978961 3.84564074] -5.01793783710422 ;\n", + "Epoch 560/1000, Cost: 5.1629\n", + " and the parameters are [-2.82979209 3.8456412 ] -5.017960631268826 ;\n", + "Epoch 560/1000, Cost: 1.0058\n", + " and the parameters are [-2.82980042 3.84565498] -5.017971086795691 ;\n", + "Epoch 560/1000, Cost: 3.2583\n", + " and the parameters are [-2.82977934 3.84561984] -5.018024084783285 ;\n", + "Epoch 560/1000, Cost: 1.8217\n", + " and the parameters are [-2.82981071 3.84560104] -5.018056327338183 ;\n", + "Epoch 560/1000, Cost: 2.0176\n", + " and the parameters are [-2.82981745 3.84566193] -5.018028864353398 ;\n", + "Epoch 560/1000, Cost: 2.4995\n", + " and the parameters are [-2.82984057 3.84562553] -5.018081176965809 ;\n", + "Epoch 560/1000, Cost: 3.1876\n", + " and the parameters are [-2.82980685 3.8456011 ] -5.018121110573664 ;\n", + "Epoch 560/1000, Cost: 3.4891\n", + " and the parameters are [-2.82985942 3.84557583] -5.018129553501743 ;\n", + "Epoch 560/1000, Cost: 2.9653\n", + " and the parameters are [-2.82984292 3.84564481] -5.018126504904654 ;\n", + "Epoch 560/1000, Cost: 2.2270\n", + " and the parameters are [-2.82983243 3.8457326 ] -5.0181047362940525 ;\n", + "Epoch 560/1000, Cost: 2.9174\n", + " and the parameters are [-2.82980841 3.845831 ] -5.018068549302428 ;\n", + "Epoch 560/1000, Cost: 1.8626\n", + " and the parameters are [-2.82984337 3.84584671] -5.018069162409031 ;\n", + "Epoch 560/1000, Cost: 2.5107\n", + " and the parameters are [-2.8298509 3.84584511] -5.01810022418612 ;\n", + "Epoch 560/1000, Cost: 3.7151\n", + " and the parameters are [-2.82991877 3.84573421] -5.018151896991182 ;\n", + "Epoch 560/1000, Cost: 3.1153\n", + " and the parameters are [-2.82988255 3.84578188] -5.018161054480218 ;\n", + "Epoch 560/1000, Cost: 4.6062\n", + " and the parameters are [-2.82990856 3.84567834] -5.018255179384221 ;\n", + "Epoch 560/1000, Cost: 2.4955\n", + " and the parameters are [-2.82995383 3.84564172] -5.018287501967001 ;\n", + "Epoch 560/1000, Cost: 6.7238\n", + " and the parameters are [-2.82989516 3.84579684] -5.018214984008492 ;\n", + "Epoch 560/1000, Cost: 7.9110\n", + " and the parameters are [-2.82998462 3.84573289] -5.0182069758999175 ;\n", + "Epoch 560/1000, Cost: 2.9835\n", + " and the parameters are [-2.82995672 3.84575169] -5.018238545364335 ;\n", + "Epoch 560/1000, Cost: 2.3665\n", + " and the parameters are [-2.83001836 3.84576531] -5.01822323021852 ;\n", + "Epoch 560/1000, Cost: 5.9428\n", + " and the parameters are [-2.83003715 3.84581726] -5.018173874948509 ;\n", + "Epoch 560/1000, Cost: 9.7163\n", + " and the parameters are [-2.83014138 3.84564704] -5.018205171841694 ;\n", + "Epoch 560/1000, Cost: 2.4096\n", + " and the parameters are [-2.830084 3.84574335] -5.018189664657553 ;\n", + "Epoch 560/1000, Cost: 1.6875\n", + " and the parameters are [-2.83010514 3.84576087] -5.018190529393592 ;\n", + "Epoch 560/1000, Cost: 2.8200\n", + " and the parameters are [-2.83009725 3.84581706] -5.018193229316133 ;\n", + "Epoch 560/1000, Cost: 4.1882\n", + " and the parameters are [-2.83011557 3.84579453] -5.018234493203249 ;\n", + "Epoch 560/1000, Cost: 6.0275\n", + " and the parameters are [-2.83016632 3.84562627] -5.0183273107677255 ;\n", + "Epoch 560/1000, Cost: 3.6317\n", + " and the parameters are [-2.83017243 3.84580761] -5.018221992558231 ;\n", + "Epoch 560/1000, Cost: 3.3824\n", + " and the parameters are [-2.83021718 3.84588296] -5.018173615282435 ;\n", + "Epoch 560/1000, Cost: 2.0590\n", + " and the parameters are [-2.83025137 3.84585646] -5.01820268954348 ;\n", + "Epoch 560/1000, Cost: 5.3363\n", + " and the parameters are [-2.83020834 3.84602962] -5.018097276276667 ;\n", + "Epoch 560/1000, Cost: 5.4625\n", + " and the parameters are [-2.83026715 3.84609302] -5.018039780955343 ;\n", + "Epoch 560/1000, Cost: 2.9996\n", + " and the parameters are [-2.83023935 3.84610841] -5.018056243853041 ;\n", + "Epoch 560/1000, Cost: 3.1391\n", + " and the parameters are [-2.83022243 3.84605003] -5.0181351746299905 ;\n", + "Epoch 560/1000, Cost: 2.8788\n", + " and the parameters are [-2.8301579 3.84612683] -5.018134213327748 ;\n", + "Epoch 560/1000, Cost: 3.1606\n", + " and the parameters are [-2.83020766 3.84612968] -5.018146376109461 ;\n", + "Epoch 560/1000, Cost: 2.0115\n", + " and the parameters are [-2.83024989 3.84609859] -5.018181569217576 ;\n", + "Epoch 560/1000, Cost: 3.0098\n", + " and the parameters are [-2.83034623 3.84597047] -5.018254398213563 ;\n", + "Epoch 560/1000, Cost: 3.7131\n", + " and the parameters are [-2.83036479 3.84592708] -5.018288953702716 ;\n", + "Epoch 560/1000, Cost: 2.3933\n", + " and the parameters are [-2.8303425 3.84594289] -5.018325667671799 ;\n", + "Epoch 560/1000, Cost: 5.6963\n", + " and the parameters are [-2.83025469 3.84587548] -5.018433426073737 ;\n", + "Epoch 560/1000, Cost: 2.3789\n", + " and the parameters are [-2.83021519 3.8460054 ] -5.018385269380471 ;\n", + "Epoch 560/1000, Cost: 2.3156\n", + " and the parameters are [-2.83023411 3.84607796] -5.018364912616819 ;\n", + "Epoch 560/1000, Cost: 5.0682\n", + " and the parameters are [-2.83036059 3.84601748] -5.018368876626749 ;\n", + "Epoch 560/1000, Cost: 3.8917\n", + " and the parameters are [-2.83032681 3.84601922] -5.0184195718861275 ;\n", + "Epoch 560/1000, Cost: 3.3096\n", + " and the parameters are [-2.83030773 3.84600629] -5.018472154791944 ;\n", + "Epoch 560/1000, Cost: 3.9943\n", + " and the parameters are [-2.83036958 3.84596339] -5.0184855873956655 ;\n", + "Epoch 560/1000, Cost: 1.6749\n", + " and the parameters are [-2.83038647 3.84597117] -5.018504575527166 ;\n", + "Epoch 560/1000, Cost: 1.4189\n", + " and the parameters are [-2.83039101 3.84598056] -5.018524594602925 ;\n", + "Epoch 560/1000, Cost: 1.8018\n", + " and the parameters are [-2.83038069 3.84603813] -5.0185110643090125 ;\n", + "Epoch 560/1000, Cost: 3.4697\n", + " and the parameters are [-2.83037751 3.8461196 ] -5.01846898529407 ;\n", + "Epoch 560/1000, Cost: 3.0206\n", + " and the parameters are [-2.83046449 3.84606755] -5.018491551528376 ;\n", + "Epoch 560/1000, Cost: 5.4628\n", + " and the parameters are [-2.83039921 3.846101 ] -5.018507414392259 ;\n", + "Epoch 560/1000, Cost: 2.2415\n", + " and the parameters are [-2.83037997 3.84617282] -5.018504118845512 ;\n", + "Epoch 560/1000, Cost: 2.6288\n", + " and the parameters are [-2.83042369 3.84606533] -5.018586842933755 ;\n", + "Epoch 560/1000, Cost: 2.6979\n", + " and the parameters are [-2.83041016 3.84600012] -5.018661674284425 ;\n", + "Epoch 560/1000, Cost: 3.2147\n", + " and the parameters are [-2.8303747 3.84595394] -5.01873371170753 ;\n", + "Epoch 560/1000, Cost: 3.0842\n", + " and the parameters are [-2.83038 3.84596516] -5.018753553192289 ;\n", + "Epoch 560/1000, Cost: 7.4890\n", + " and the parameters are [-2.83043539 3.84588525] -5.018756866027521 ;\n", + "Epoch 560/1000, Cost: 0.8179\n", + " and the parameters are [-2.83045577 3.84590354] -5.01875371876079 ;\n", + "Epoch 560/1000, Cost: 5.1774\n", + " and the parameters are [-2.83054637 3.84581658] -5.018778369502641 ;\n", + "Epoch 560/1000, Cost: 1.8146\n", + " and the parameters are [-2.83059004 3.84584858] -5.018755031645611 ;\n", + "Epoch 560/1000, Cost: 1.9586\n", + " and the parameters are [-2.8305991 3.84586679] -5.018766379608307 ;\n", + "Epoch 560/1000, Cost: 6.1574\n", + " and the parameters are [-2.83057475 3.84583368] -5.018787573016979 ;\n", + "Epoch 560/1000, Cost: 2.9600\n", + " and the parameters are [-2.83057813 3.84582776] -5.018811013329808 ;\n", + "Epoch 560/1000, Cost: 2.6397\n", + " and the parameters are [-2.83060121 3.84587057] -5.018798700533467 ;\n", + "Epoch 560/1000, Cost: 4.1106\n", + " and the parameters are [-2.83062673 3.84586382] -5.018820202540313 ;\n", + "Epoch 560/1000, Cost: 3.4017\n", + " and the parameters are [-2.83059213 3.84590991] -5.018823905047168 ;\n", + "Epoch 560/1000, Cost: 1.2245\n", + " and the parameters are [-2.83062314 3.84588967] -5.018849972224546 ;\n", + "Epoch 560/1000, Cost: 4.3200\n", + " and the parameters are [-2.83070319 3.84581803] -5.018899319612466 ;\n", + "Epoch 560/1000, Cost: 5.6750\n", + " and the parameters are [-2.83070275 3.84573931] -5.018961215606603 ;\n", + "Epoch 560/1000, Cost: 1.7727\n", + " and the parameters are [-2.83076936 3.84572318] -5.018969281958472 ;\n", + "Epoch 560/1000, Cost: 5.7191\n", + " and the parameters are [-2.83069141 3.84588564] -5.018893748765099 ;\n", + "Epoch 560/1000, Cost: 8.5349\n", + " and the parameters are [-2.83060976 3.84607732] -5.018802763704995 ;\n", + "Epoch 560/1000, Cost: 1.5876\n", + " and the parameters are [-2.83062944 3.84606859] -5.0188243079035635 ;\n", + "Epoch 560/1000, Cost: 7.1668\n", + " and the parameters are [-2.83064862 3.84588083] -5.018960036723464 ;\n", + "Epoch 560/1000, Cost: 3.7725\n", + " and the parameters are [-2.83057899 3.84594751] -5.01897846717773 ;\n", + "Epoch 560/1000, Cost: 2.9871\n", + " and the parameters are [-2.83056818 3.84598032] -5.018989015310338 ;\n", + "Epoch 560/1000, Cost: 4.5921\n", + " and the parameters are [-2.83054224 3.84609842] -5.018941602376086 ;\n", + "Epoch 560/1000, Cost: 2.5732\n", + " and the parameters are [-2.83051504 3.84610712] -5.018984932791736 ;\n", + "Epoch 560/1000, Cost: 1.8770\n", + " and the parameters are [-2.83047055 3.84614943] -5.019006102953232 ;\n", + "Epoch 560/1000, Cost: 0.8158\n", + " and the parameters are [-2.83046316 3.84618075] -5.019010651583391 ;\n", + "Epoch 560/1000, Cost: 3.6674\n", + " and the parameters are [-2.83048797 3.84605069] -5.019125162930091 ;\n", + "Epoch 560/1000, Cost: 3.2503\n", + " and the parameters are [-2.83050867 3.846069 ] -5.019125377621022 ;\n", + "Epoch 560/1000, Cost: 6.9887\n", + " and the parameters are [-2.83062737 3.84611339] -5.019012721087505 ;\n", + "Epoch 560/1000, Cost: 1.5763\n", + " and the parameters are [-2.83062852 3.84613948] -5.01902219772197 ;\n", + "Epoch 560/1000, Cost: 2.0989\n", + " and the parameters are [-2.83060969 3.84620669] -5.019013513494757 ;\n", + "Epoch 560/1000, Cost: 1.1682\n", + " and the parameters are [-2.83062488 3.84622609] -5.019020869834554 ;\n", + "Epoch 560/1000, Cost: 1.8411\n", + " and the parameters are [-2.83064963 3.84623936] -5.019036656662144 ;\n", + "Epoch 560/1000, Cost: 1.5467\n", + " and the parameters are [-2.83064994 3.84626353] -5.019051539489571 ;\n", + "Epoch 560/1000, Cost: 3.1471\n", + " and the parameters are [-2.83069125 3.84624559] -5.019090699036303 ;\n", + "Epoch 560/1000, Cost: 4.8348\n", + " and the parameters are [-2.83074197 3.84617656] -5.01912239854697 ;\n", + "Epoch 560/1000, Cost: 1.6616\n", + " and the parameters are [-2.8307727 3.8461698] -5.019142480642646 ;\n", + "Epoch 560/1000, Cost: 2.2942\n", + " and the parameters are [-2.83072722 3.84614841] -5.019210210469957 ;\n", + "Epoch 560/1000, Cost: 1.8873\n", + " and the parameters are [-2.83075425 3.84613454] -5.019241641479565 ;\n", + "Epoch 560/1000, Cost: 6.2281\n", + " and the parameters are [-2.83075824 3.84614626] -5.019245910935861 ;\n", + "Epoch 560/1000, Cost: 2.7277\n", + " and the parameters are [-2.83078584 3.84625109] -5.019185038921537 ;\n", + "Epoch 560/1000, Cost: 2.8860\n", + " and the parameters are [-2.83076822 3.84630849] -5.019181488492655 ;\n", + "Epoch 560/1000, Cost: 2.2048\n", + " and the parameters are [-2.83074838 3.84634127] -5.0191855254466855 ;\n", + "Epoch 560/1000, Cost: 3.3030\n", + " and the parameters are [-2.83080502 3.84630529] -5.019204382557585 ;\n", + "Epoch 560/1000, Cost: 1.9505\n", + " and the parameters are [-2.83079385 3.84640556] -5.019152404574949 ;\n", + "Epoch 560/1000, Cost: 1.4637\n", + " and the parameters are [-2.83081563 3.84638076] -5.019176395494259 ;\n", + "Epoch 560/1000, Cost: 3.3329\n", + " and the parameters are [-2.83084431 3.84635112] -5.019209232883872 ;\n", + "Epoch 560/1000, Cost: 4.9729\n", + " and the parameters are [-2.83083624 3.84625244] -5.0193073347719075 ;\n", + "Epoch 560/1000, Cost: 4.6307\n", + " and the parameters are [-2.83082203 3.84619918] -5.019365041323213 ;\n", + "Epoch 560/1000, Cost: 3.1521\n", + " and the parameters are [-2.83080506 3.84620472] -5.019411551701174 ;\n", + "Epoch 560/1000, Cost: 3.9732\n", + " and the parameters are [-2.83077862 3.84633298] -5.019359443381895 ;\n", + "Epoch 560/1000, Cost: 2.2372\n", + " and the parameters are [-2.83072974 3.84646074] -5.01931768044198 ;\n", + "Epoch 560/1000, Cost: 3.1321\n", + " and the parameters are [-2.8307089 3.84637215] -5.019422015866896 ;\n", + "Epoch 560/1000, Cost: 3.8565\n", + " and the parameters are [-2.83069961 3.84643247] -5.019399595893985 ;\n", + "Epoch 560/1000, Cost: 3.4353\n", + " and the parameters are [-2.83078312 3.84629576] -5.019462009994845 ;\n", + "Epoch 560/1000, Cost: 5.2073\n", + " and the parameters are [-2.83081492 3.84629987] -5.019452348927437 ;\n", + "Epoch 560/1000, Cost: 3.2196\n", + " and the parameters are [-2.83081033 3.84629155] -5.019493994520767 ;\n", + "Epoch 560/1000, Cost: 4.3754\n", + " and the parameters are [-2.83080703 3.84633613] -5.019460782161998 ;\n", + "Epoch 560/1000, Cost: 1.5197\n", + " and the parameters are [-2.83082066 3.84633604] -5.019482881072323 ;\n", + "Epoch 560/1000, Cost: 3.1757\n", + " and the parameters are [-2.83085797 3.84639146] -5.019457819321277 ;\n", + "Epoch 560/1000, Cost: 2.8579\n", + " and the parameters are [-2.83084631 3.8463941 ] -5.019495099462077 ;\n", + "Epoch 560/1000, Cost: 1.3739\n", + " and the parameters are [-2.83084227 3.84642684] -5.019505867066482 ;\n", + "Epoch 560/1000, Cost: 5.1998\n", + " and the parameters are [-2.83093732 3.84640793] -5.019491391504602 ;\n", + "Epoch 560/1000, Cost: 1.9438\n", + " and the parameters are [-2.83100911 3.84633377] -5.019532559970151 ;\n", + "Epoch 560/1000, Cost: 4.4960\n", + " and the parameters are [-2.83096592 3.84623893] -5.01962018902038 ;\n", + "Epoch 560/1000, Cost: 3.8700\n", + " and the parameters are [-2.8309516 3.84637132] -5.019533367518901 ;\n", + "Epoch 560/1000, Cost: 4.8971\n", + " and the parameters are [-2.83091507 3.84628358] -5.019621081935513 ;\n", + "Epoch 560/1000, Cost: 1.7787\n", + " and the parameters are [-2.83086727 3.84635332] -5.019627186874413 ;\n", + "Epoch 560/1000, Cost: 2.6581\n", + " and the parameters are [-2.83087455 3.8463276 ] -5.019675137529184 ;\n", + "Epoch 560/1000, Cost: 2.2943\n", + " and the parameters are [-2.8308556 3.84635014] -5.019686220872739 ;\n", + "Epoch 560/1000, Cost: 1.3336\n", + " and the parameters are [-2.83086265 3.84642861] -5.019642735058298 ;\n", + "Epoch 560/1000, Cost: 7.8142\n", + " and the parameters are [-2.83091614 3.84637777] -5.0196269240042515 ;\n", + "Epoch 560/1000, Cost: 4.5551\n", + " and the parameters are [-2.83096236 3.84630462] -5.019678728753988 ;\n", + "Epoch 560/1000, Cost: 3.3522\n", + " and the parameters are [-2.83096241 3.84623934] -5.01975425378074 ;\n", + "Epoch 560/1000, Cost: 2.2916\n", + " and the parameters are [-2.83093017 3.84626807] -5.019783979910518 ;\n", + "Epoch 560/1000, Cost: 2.8591\n", + " and the parameters are [-2.830953 3.84632838] -5.01976096638278 ;\n", + "Epoch 560/1000, Cost: 4.2309\n", + " and the parameters are [-2.83096137 3.84618898] -5.019880636006666 ;\n", + "Epoch 560/1000, Cost: 1.1847\n", + " and the parameters are [-2.8309671 3.84620902] -5.019891636310539 ;\n", + "Epoch 560/1000, Cost: 3.2470\n", + " and the parameters are [-2.83098644 3.84626309] -5.019862895156145 ;\n", + "Epoch 560/1000, Cost: 3.7519\n", + " and the parameters are [-2.83095358 3.84625507] -5.019938647351722 ;\n", + "Epoch 560/1000, Cost: 1.9182\n", + " and the parameters are [-2.83096345 3.84623721] -5.019974090818082 ;\n", + "Epoch 560/1000, Cost: 1.5706\n", + " and the parameters are [-2.83098216 3.84623383] -5.019997417984881 ;\n", + "Epoch 560/1000, Cost: 1.7508\n", + " and the parameters are [-2.83099687 3.84627147] -5.0199891106782495 ;\n", + "Epoch 560/1000, Cost: 1.5893\n", + " and the parameters are [-2.83102645 3.84628109] -5.019993639872035 ;\n", + "Epoch 560/1000, Cost: 3.3732\n", + " and the parameters are [-2.83110599 3.84624413] -5.019986979266037 ;\n", + "Epoch 560/1000, Cost: 2.9623\n", + " and the parameters are [-2.83105517 3.84628172] -5.020019947880257 ;\n", + "Epoch 560/1000, Cost: 2.3669\n", + " and the parameters are [-2.83107222 3.84631772] -5.020014211872702 ;\n", + "Epoch 570/1000, Cost: 2.5125\n", + " and the parameters are [-2.84374657 3.86215831] -5.0426095951377485 ;\n", + "Epoch 570/1000, Cost: 2.0464\n", + " and the parameters are [-2.84376336 3.86212616] -5.042644065890445 ;\n", + "Epoch 570/1000, Cost: 2.1029\n", + " and the parameters are [-2.84374572 3.86220052] -5.0426288957363505 ;\n", + "Epoch 570/1000, Cost: 2.9439\n", + " and the parameters are [-2.84375907 3.86231566] -5.042566575552872 ;\n", + "Epoch 570/1000, Cost: 2.9725\n", + " and the parameters are [-2.84377614 3.86229795] -5.042604689377555 ;\n", + "Epoch 570/1000, Cost: 2.1364\n", + " and the parameters are [-2.8438252 3.8622785] -5.042627461782296 ;\n", + "Epoch 570/1000, Cost: 2.0319\n", + " and the parameters are [-2.84381331 3.86232866] -5.042636439079636 ;\n", + "Epoch 570/1000, Cost: 3.1925\n", + " and the parameters are [-2.84384252 3.86231586] -5.0426522701118035 ;\n", + "Epoch 570/1000, Cost: 2.1796\n", + " and the parameters are [-2.84388544 3.86225703] -5.0426992779102395 ;\n", + "Epoch 570/1000, Cost: 2.4237\n", + " and the parameters are [-2.84388763 3.86231335] -5.042685397644303 ;\n", + "Epoch 570/1000, Cost: 1.5606\n", + " and the parameters are [-2.84388591 3.86234791] -5.0426891659738295 ;\n", + "Epoch 570/1000, Cost: 2.8154\n", + " and the parameters are [-2.8438568 3.86241327] -5.042678466700288 ;\n", + "Epoch 570/1000, Cost: 4.8943\n", + " and the parameters are [-2.84381294 3.8625569 ] -5.042614005582626 ;\n", + "Epoch 570/1000, Cost: 1.9106\n", + " and the parameters are [-2.84382588 3.86264516] -5.042569096329402 ;\n", + "Epoch 570/1000, Cost: 1.2492\n", + " and the parameters are [-2.84382567 3.8626803 ] -5.042571847609197 ;\n", + "Epoch 570/1000, Cost: 1.7161\n", + " and the parameters are [-2.84384309 3.86270001] -5.042572720538468 ;\n", + "Epoch 570/1000, Cost: 2.8593\n", + " and the parameters are [-2.8438833 3.86268037] -5.042591482998835 ;\n", + "Epoch 570/1000, Cost: 2.6065\n", + " and the parameters are [-2.84389626 3.8626835 ] -5.042609941266738 ;\n", + "Epoch 570/1000, Cost: 2.7125\n", + " and the parameters are [-2.84389836 3.86275193] -5.042593414048519 ;\n", + "Epoch 570/1000, Cost: 5.2505\n", + " and the parameters are [-2.84384586 3.86288814] -5.042514834941961 ;\n", + "Epoch 570/1000, Cost: 4.8726\n", + " and the parameters are [-2.84385583 3.86289127] -5.0425370727165575 ;\n", + "Epoch 570/1000, Cost: 4.3099\n", + " and the parameters are [-2.84395916 3.86288569] -5.042507313121945 ;\n", + "Epoch 570/1000, Cost: 2.2055\n", + " and the parameters are [-2.84397196 3.86296418] -5.042473578570003 ;\n", + "Epoch 570/1000, Cost: 3.4601\n", + " and the parameters are [-2.84393199 3.86302805] -5.042451859916758 ;\n", + "Epoch 570/1000, Cost: 2.2161\n", + " and the parameters are [-2.84395144 3.86294192] -5.04252013321844 ;\n", + "Epoch 570/1000, Cost: 4.2509\n", + " and the parameters are [-2.84409624 3.86294997] -5.042440282737299 ;\n", + "Epoch 570/1000, Cost: 1.2591\n", + " and the parameters are [-2.84409913 3.86299127] -5.042436922405173 ;\n", + "Epoch 570/1000, Cost: 2.9676\n", + " and the parameters are [-2.84408422 3.86311558] -5.042378002877618 ;\n", + "Epoch 570/1000, Cost: 1.7126\n", + " and the parameters are [-2.84410216 3.86310458] -5.0424084387959685 ;\n", + "Epoch 570/1000, Cost: 1.9020\n", + " and the parameters are [-2.84404575 3.86317626] -5.042414155385872 ;\n", + "Epoch 570/1000, Cost: 3.3396\n", + " and the parameters are [-2.84400363 3.86324347] -5.042412941041433 ;\n", + "Epoch 570/1000, Cost: 3.3128\n", + " and the parameters are [-2.84403789 3.86318863] -5.042466430428332 ;\n", + "Epoch 570/1000, Cost: 2.6516\n", + " and the parameters are [-2.84404374 3.86317758] -5.042512564076657 ;\n", + "Epoch 570/1000, Cost: 5.6909\n", + " and the parameters are [-2.84400906 3.86333732] -5.042440241067969 ;\n", + "Epoch 570/1000, Cost: 3.3257\n", + " and the parameters are [-2.84402414 3.86342447] -5.042406321861045 ;\n", + "Epoch 570/1000, Cost: 2.4972\n", + " and the parameters are [-2.8440698 3.86347447] -5.042377336874916 ;\n", + "Epoch 570/1000, Cost: 7.8924\n", + " and the parameters are [-2.84403345 3.863523 ] -5.04233467570829 ;\n", + "Epoch 570/1000, Cost: 4.1217\n", + " and the parameters are [-2.84403556 3.86342261] -5.042415484172793 ;\n", + "Epoch 570/1000, Cost: 3.2814\n", + " and the parameters are [-2.84409542 3.86347258] -5.042362035822469 ;\n", + "Epoch 570/1000, Cost: 2.5791\n", + " and the parameters are [-2.84415894 3.86353033] -5.042312790999539 ;\n", + "Epoch 570/1000, Cost: 4.0799\n", + " and the parameters are [-2.8442169 3.86342614] -5.042369564578252 ;\n", + "Epoch 570/1000, Cost: 2.4200\n", + " and the parameters are [-2.84417614 3.86343014] -5.042409705158627 ;\n", + "Epoch 570/1000, Cost: 2.6564\n", + " and the parameters are [-2.844148 3.86337099] -5.042501799857894 ;\n", + "Epoch 570/1000, Cost: 3.1600\n", + " and the parameters are [-2.8441328 3.86342672] -5.042481691505837 ;\n", + "Epoch 570/1000, Cost: 1.3810\n", + " and the parameters are [-2.84417891 3.8633967 ] -5.042507033576336 ;\n", + "Epoch 570/1000, Cost: 2.5866\n", + " and the parameters are [-2.84419139 3.86335203] -5.042561262085411 ;\n", + "Epoch 570/1000, Cost: 1.5842\n", + " and the parameters are [-2.8441913 3.86335014] -5.0425938982225675 ;\n", + "Epoch 570/1000, Cost: 2.5530\n", + " and the parameters are [-2.84420394 3.86340838] -5.042578482791463 ;\n", + "Epoch 570/1000, Cost: 9.2804\n", + " and the parameters are [-2.84417782 3.8633497 ] -5.04261331929218 ;\n", + "Epoch 570/1000, Cost: 4.0587\n", + " and the parameters are [-2.84413475 3.86333036] -5.042674473305423 ;\n", + "Epoch 570/1000, Cost: 4.0705\n", + " and the parameters are [-2.84414879 3.86326292] -5.042732695347833 ;\n", + "Epoch 570/1000, Cost: 6.1339\n", + " and the parameters are [-2.8441422 3.86333471] -5.042675162004715 ;\n", + "Epoch 570/1000, Cost: 2.7281\n", + " and the parameters are [-2.84403747 3.86344269] -5.042670077657439 ;\n", + "Epoch 570/1000, Cost: 2.8956\n", + " and the parameters are [-2.84411021 3.86343187] -5.042669783981331 ;\n", + "Epoch 570/1000, Cost: 3.6823\n", + " and the parameters are [-2.84411832 3.86340278] -5.042710512977768 ;\n", + "Epoch 570/1000, Cost: 3.7892\n", + " and the parameters are [-2.84415519 3.8634766 ] -5.042657252533803 ;\n", + "Epoch 570/1000, Cost: 3.0195\n", + " and the parameters are [-2.84414604 3.86358369] -5.042608883240805 ;\n", + "Epoch 570/1000, Cost: 2.2363\n", + " and the parameters are [-2.84410143 3.86366 ] -5.042604769016623 ;\n", + "Epoch 570/1000, Cost: 4.4960\n", + " and the parameters are [-2.84403661 3.86379431] -5.042563514907697 ;\n", + "Epoch 570/1000, Cost: 4.9314\n", + " and the parameters are [-2.84409296 3.86371119] -5.042619973293133 ;\n", + "Epoch 570/1000, Cost: 2.1357\n", + " and the parameters are [-2.84407505 3.86385118] -5.042553506688921 ;\n", + "Epoch 570/1000, Cost: 2.2208\n", + " and the parameters are [-2.8441396 3.8638866] -5.042514379484704 ;\n", + "Epoch 570/1000, Cost: 2.7683\n", + " and the parameters are [-2.84411608 3.86402895] -5.042457887277396 ;\n", + "Epoch 570/1000, Cost: 2.9736\n", + " and the parameters are [-2.84406592 3.86415821] -5.042415846229172 ;\n", + "Epoch 570/1000, Cost: 3.9344\n", + " and the parameters are [-2.84396145 3.86415404] -5.0424957603909455 ;\n", + "Epoch 570/1000, Cost: 7.6209\n", + " and the parameters are [-2.84399141 3.86402657] -5.042550762652051 ;\n", + "Epoch 570/1000, Cost: 2.6140\n", + " and the parameters are [-2.84408175 3.86389073] -5.042619995184159 ;\n", + "Epoch 570/1000, Cost: 2.9090\n", + " and the parameters are [-2.84410068 3.86394869] -5.042598450459857 ;\n", + "Epoch 570/1000, Cost: 2.9407\n", + " and the parameters are [-2.84414512 3.863957 ] -5.042611455528939 ;\n", + "Epoch 570/1000, Cost: 4.8328\n", + " and the parameters are [-2.844167 3.86394873] -5.042612523113675 ;\n", + "Epoch 570/1000, Cost: 8.0214\n", + " and the parameters are [-2.84412615 3.86420895] -5.042423042055123 ;\n", + "Epoch 570/1000, Cost: 2.9212\n", + " and the parameters are [-2.84418205 3.86416373] -5.042444802791334 ;\n", + "Epoch 570/1000, Cost: 4.9824\n", + " and the parameters are [-2.84423659 3.86418231] -5.042410128354453 ;\n", + "Epoch 570/1000, Cost: 2.2413\n", + " and the parameters are [-2.84422104 3.86425726] -5.042401035579356 ;\n", + "Epoch 570/1000, Cost: 2.1927\n", + " and the parameters are [-2.84414913 3.8642769 ] -5.042457608387174 ;\n", + "Epoch 570/1000, Cost: 2.6979\n", + " and the parameters are [-2.84412042 3.86435212] -5.0424467680449245 ;\n", + "Epoch 570/1000, Cost: 2.0933\n", + " and the parameters are [-2.84413596 3.86441239] -5.042407961898047 ;\n", + "Epoch 570/1000, Cost: 2.5531\n", + " and the parameters are [-2.8441554 3.86443031] -5.042407843264039 ;\n", + "Epoch 570/1000, Cost: 1.0693\n", + " and the parameters are [-2.84413738 3.86444592] -5.04243300616273 ;\n", + "Epoch 570/1000, Cost: 1.6360\n", + " and the parameters are [-2.84410932 3.86446885] -5.0424584413675015 ;\n", + "Epoch 570/1000, Cost: 3.9166\n", + " and the parameters are [-2.84410977 3.86436974] -5.042561089459689 ;\n", + "Epoch 570/1000, Cost: 1.5263\n", + " and the parameters are [-2.8440652 3.86446585] -5.04254393135568 ;\n", + "Epoch 570/1000, Cost: 6.0985\n", + " and the parameters are [-2.84405909 3.86442177] -5.042586126929309 ;\n", + "Epoch 570/1000, Cost: 2.6127\n", + " and the parameters are [-2.84404676 3.86437615] -5.04266081601059 ;\n", + "Epoch 570/1000, Cost: 3.6719\n", + " and the parameters are [-2.84407551 3.8642504 ] -5.0427551044085 ;\n", + "Epoch 570/1000, Cost: 3.5651\n", + " and the parameters are [-2.84411073 3.86420113] -5.042793342113985 ;\n", + "Epoch 570/1000, Cost: 1.4911\n", + " and the parameters are [-2.84415748 3.8642394 ] -5.04277082776415 ;\n", + "Epoch 570/1000, Cost: 1.5619\n", + " and the parameters are [-2.84416357 3.86426451] -5.042780149976042 ;\n", + "Epoch 570/1000, Cost: 1.5989\n", + " and the parameters are [-2.84414451 3.8643057 ] -5.042792604076474 ;\n", + "Epoch 570/1000, Cost: 1.7039\n", + " and the parameters are [-2.84416683 3.86426549] -5.042835246512909 ;\n", + "Epoch 570/1000, Cost: 5.8634\n", + " and the parameters are [-2.84409541 3.86425517] -5.042889222633748 ;\n", + "Epoch 570/1000, Cost: 3.7028\n", + " and the parameters are [-2.84411034 3.86427797] -5.042889440880349 ;\n", + "Epoch 570/1000, Cost: 3.1051\n", + " and the parameters are [-2.84406789 3.86428247] -5.04293435285398 ;\n", + "Epoch 570/1000, Cost: 4.6316\n", + " and the parameters are [-2.84399505 3.86425067] -5.043020374822374 ;\n", + "Epoch 570/1000, Cost: 1.7075\n", + " and the parameters are [-2.84401337 3.86421493] -5.043059982782374 ;\n", + "Epoch 570/1000, Cost: 1.9748\n", + " and the parameters are [-2.84401457 3.86425121] -5.04306670711464 ;\n", + "Epoch 570/1000, Cost: 2.6309\n", + " and the parameters are [-2.84403153 3.86422898] -5.043099721816612 ;\n", + "Epoch 570/1000, Cost: 4.0887\n", + " and the parameters are [-2.84398952 3.86418408] -5.0431475431670325 ;\n", + "Epoch 570/1000, Cost: 4.0312\n", + " and the parameters are [-2.84405229 3.86410385] -5.0431869071353335 ;\n", + "Epoch 570/1000, Cost: 1.1321\n", + " and the parameters are [-2.84404998 3.86409441] -5.043223957741104 ;\n", + "Epoch 570/1000, Cost: 4.4483\n", + " and the parameters are [-2.84410159 3.86413208] -5.043159512060589 ;\n", + "Epoch 570/1000, Cost: 1.7356\n", + " and the parameters are [-2.84413572 3.86409929] -5.043192586546149 ;\n", + "Epoch 570/1000, Cost: 3.1169\n", + " and the parameters are [-2.84405574 3.86419158] -5.043197662624529 ;\n", + "Epoch 570/1000, Cost: 1.4352\n", + " and the parameters are [-2.84404694 3.8641929 ] -5.043234157365196 ;\n", + "Epoch 570/1000, Cost: 3.1087\n", + " and the parameters are [-2.84403992 3.86419108] -5.04325852079305 ;\n", + "Epoch 570/1000, Cost: 1.8503\n", + " and the parameters are [-2.84399922 3.86422812] -5.043282206550572 ;\n", + "Epoch 570/1000, Cost: 1.8722\n", + " and the parameters are [-2.84396949 3.86421567] -5.043329648991208 ;\n", + "Epoch 570/1000, Cost: 3.2394\n", + " and the parameters are [-2.8439595 3.86421235] -5.043374213763612 ;\n", + "Epoch 570/1000, Cost: 5.2935\n", + " and the parameters are [-2.84397475 3.86414024] -5.043447908835239 ;\n", + "Epoch 570/1000, Cost: 5.2690\n", + " and the parameters are [-2.84390386 3.86411568] -5.043525790861429 ;\n", + "Epoch 570/1000, Cost: 3.4713\n", + " and the parameters are [-2.84388442 3.8641444 ] -5.043520014897048 ;\n", + "Epoch 570/1000, Cost: 2.9150\n", + " and the parameters are [-2.84385957 3.86417087] -5.043535410518723 ;\n", + "Epoch 570/1000, Cost: 5.4193\n", + " and the parameters are [-2.84392426 3.8640928 ] -5.043559404356144 ;\n", + "Epoch 570/1000, Cost: 2.7789\n", + " and the parameters are [-2.84395533 3.86402636] -5.043621730857812 ;\n", + "Epoch 570/1000, Cost: 5.5179\n", + " and the parameters are [-2.84413348 3.86375068] -5.04372839253856 ;\n", + "Epoch 570/1000, Cost: 2.0338\n", + " and the parameters are [-2.84415576 3.86371043] -5.04377266239726 ;\n", + "Epoch 570/1000, Cost: 6.3111\n", + " and the parameters are [-2.84428987 3.86341244] -5.043926670716258 ;\n", + "Epoch 570/1000, Cost: 7.0340\n", + " and the parameters are [-2.84435249 3.86334747] -5.04396105671276 ;\n", + "Epoch 570/1000, Cost: 3.0693\n", + " and the parameters are [-2.84437489 3.86333004] -5.043997359489959 ;\n", + "Epoch 570/1000, Cost: 1.8642\n", + " and the parameters are [-2.84441865 3.863311 ] -5.044010863489926 ;\n", + "Epoch 570/1000, Cost: 1.7849\n", + " and the parameters are [-2.84440546 3.8633713 ] -5.0439984031902 ;\n", + "Epoch 570/1000, Cost: 1.7821\n", + " and the parameters are [-2.8444263 3.86339611] -5.043995091533119 ;\n", + "Epoch 570/1000, Cost: 3.9494\n", + " and the parameters are [-2.84443128 3.86346306] -5.04396430091571 ;\n", + "Epoch 570/1000, Cost: 2.2539\n", + " and the parameters are [-2.84444305 3.86344686] -5.044002395212396 ;\n", + "Epoch 570/1000, Cost: 3.4901\n", + " and the parameters are [-2.84445681 3.86353583] -5.043944426642729 ;\n", + "Epoch 570/1000, Cost: 2.8369\n", + " and the parameters are [-2.84444682 3.8634792 ] -5.044018911279646 ;\n", + "Epoch 570/1000, Cost: 6.5914\n", + " and the parameters are [-2.84442065 3.86331889] -5.044149656283053 ;\n", + "Epoch 570/1000, Cost: 1.6221\n", + " and the parameters are [-2.8444457 3.86332856] -5.044163886921767 ;\n", + "Epoch 570/1000, Cost: 3.1596\n", + " and the parameters are [-2.84437763 3.86338448] -5.044183565466438 ;\n", + "Epoch 570/1000, Cost: 2.6844\n", + " and the parameters are [-2.84434297 3.8635011 ] -5.044147192078374 ;\n", + "Epoch 570/1000, Cost: 2.9818\n", + " and the parameters are [-2.84438311 3.86345004] -5.044197201355057 ;\n", + "Epoch 570/1000, Cost: 2.8736\n", + " and the parameters are [-2.8444005 3.86343785] -5.044221686929243 ;\n", + "Epoch 570/1000, Cost: 3.1412\n", + " and the parameters are [-2.84440203 3.86335179] -5.044312665489742 ;\n", + "Epoch 570/1000, Cost: 1.3475\n", + " and the parameters are [-2.84437121 3.86333333] -5.044362603482959 ;\n", + "Epoch 570/1000, Cost: 3.2970\n", + " and the parameters are [-2.84441566 3.86329087] -5.044397731097678 ;\n", + "Epoch 570/1000, Cost: 2.4959\n", + " and the parameters are [-2.84443627 3.86334086] -5.044368501194375 ;\n", + "Epoch 570/1000, Cost: 3.8289\n", + " and the parameters are [-2.84445642 3.86346914] -5.044280264552057 ;\n", + "Epoch 570/1000, Cost: 4.9804\n", + " and the parameters are [-2.84446721 3.86342141] -5.044322012918875 ;\n", + "Epoch 570/1000, Cost: 3.1383\n", + " and the parameters are [-2.84448705 3.86340869] -5.0443514231312765 ;\n", + "Epoch 570/1000, Cost: 3.9743\n", + " and the parameters are [-2.84459607 3.86350588] -5.044243418692981 ;\n", + "Epoch 570/1000, Cost: 0.7674\n", + " and the parameters are [-2.84459502 3.86350577] -5.044265561691514 ;\n", + "Epoch 570/1000, Cost: 3.7595\n", + " and the parameters are [-2.84466366 3.86344256] -5.044293645956006 ;\n", + "Epoch 570/1000, Cost: 1.5143\n", + " and the parameters are [-2.84468031 3.86347261] -5.044297616442376 ;\n", + "Epoch 570/1000, Cost: 4.4765\n", + " and the parameters are [-2.84471981 3.86342357] -5.044342719473138 ;\n", + "Epoch 570/1000, Cost: 8.0250\n", + " and the parameters are [-2.84474557 3.86331479] -5.044384247096859 ;\n", + "Epoch 570/1000, Cost: 1.8305\n", + " and the parameters are [-2.84477317 3.8633656 ] -5.044366747585504 ;\n", + "Epoch 570/1000, Cost: 3.0290\n", + " and the parameters are [-2.84477025 3.86335187] -5.044408082456573 ;\n", + "Epoch 570/1000, Cost: 3.4482\n", + " and the parameters are [-2.844821 3.86334718] -5.044407919917099 ;\n", + "Epoch 570/1000, Cost: 2.8997\n", + " and the parameters are [-2.84481854 3.8634552 ] -5.044357325263163 ;\n", + "Epoch 570/1000, Cost: 0.9103\n", + " and the parameters are [-2.84481848 3.86348943] -5.044357166355677 ;\n", + "Epoch 570/1000, Cost: 4.6788\n", + " and the parameters are [-2.84478641 3.86350118] -5.044384278488901 ;\n", + "Epoch 570/1000, Cost: 2.8075\n", + " and the parameters are [-2.84479659 3.86359464] -5.044337518913064 ;\n", + "Epoch 570/1000, Cost: 1.3779\n", + " and the parameters are [-2.84477106 3.86361178] -5.044362984132404 ;\n", + "Epoch 570/1000, Cost: 3.4933\n", + " and the parameters are [-2.84475186 3.86355584] -5.044433964767927 ;\n", + "Epoch 570/1000, Cost: 4.6094\n", + " and the parameters are [-2.84484065 3.8634841 ] -5.04445322413351 ;\n", + "Epoch 570/1000, Cost: 6.7665\n", + " and the parameters are [-2.84485447 3.86355316] -5.0443981707455 ;\n", + "Epoch 570/1000, Cost: 3.4254\n", + " and the parameters are [-2.84476422 3.8636921 ] -5.04436780522409 ;\n", + "Epoch 570/1000, Cost: 2.4251\n", + " and the parameters are [-2.8447727 3.86371814] -5.044382085165044 ;\n", + "Epoch 570/1000, Cost: 2.1392\n", + " and the parameters are [-2.84473475 3.86382719] -5.04434194723066 ;\n", + "Epoch 570/1000, Cost: 8.4515\n", + " and the parameters are [-2.84466094 3.86392123] -5.044293316078851 ;\n", + "Epoch 570/1000, Cost: 5.2155\n", + " and the parameters are [-2.84461898 3.86395574] -5.0443145974438846 ;\n", + "Epoch 570/1000, Cost: 2.1463\n", + " and the parameters are [-2.84462171 3.86395427] -5.044343471694495 ;\n", + "Epoch 570/1000, Cost: 6.4669\n", + " and the parameters are [-2.84479366 3.8637185 ] -5.044410105475153 ;\n", + "Epoch 570/1000, Cost: 2.6873\n", + " and the parameters are [-2.84487604 3.86363155] -5.04446480484772 ;\n", + "Epoch 570/1000, Cost: 1.5610\n", + " and the parameters are [-2.84485563 3.86372171] -5.044433159577922 ;\n", + "Epoch 570/1000, Cost: 3.1959\n", + " and the parameters are [-2.84495526 3.86355648] -5.044523581216659 ;\n", + "Epoch 570/1000, Cost: 2.9087\n", + " and the parameters are [-2.84494774 3.86360717] -5.044524097430332 ;\n", + "Epoch 570/1000, Cost: 1.4636\n", + " and the parameters are [-2.84493258 3.86362997] -5.044537913577323 ;\n", + "Epoch 570/1000, Cost: 1.4930\n", + " and the parameters are [-2.8448859 3.86368866] -5.044543175800944 ;\n", + "Epoch 570/1000, Cost: 3.3609\n", + " and the parameters are [-2.84488392 3.86365563] -5.0445947226008965 ;\n", + "Epoch 570/1000, Cost: 3.7747\n", + " and the parameters are [-2.84491216 3.86364931] -5.044607431108691 ;\n", + "Epoch 570/1000, Cost: 3.7215\n", + " and the parameters are [-2.84492164 3.86370367] -5.044589072095635 ;\n", + "Epoch 570/1000, Cost: 1.3789\n", + " and the parameters are [-2.84494944 3.8637418 ] -5.044574586490974 ;\n", + "Epoch 570/1000, Cost: 3.0543\n", + " and the parameters are [-2.844931 3.86369268] -5.044658399326309 ;\n", + "Epoch 570/1000, Cost: 3.6307\n", + " and the parameters are [-2.84495931 3.86354206] -5.04477691040593 ;\n", + "Epoch 570/1000, Cost: 2.1336\n", + " and the parameters are [-2.84499319 3.86346497] -5.044851301936794 ;\n", + "Epoch 570/1000, Cost: 5.1100\n", + " and the parameters are [-2.8449692 3.86340076] -5.0449266734430305 ;\n", + "Epoch 570/1000, Cost: 2.4413\n", + " and the parameters are [-2.84494375 3.86345587] -5.0449393059673895 ;\n", + "Epoch 570/1000, Cost: 2.6603\n", + " and the parameters are [-2.84498602 3.86349036] -5.044925879251067 ;\n", + "Epoch 570/1000, Cost: 2.5784\n", + " and the parameters are [-2.84497967 3.86346882] -5.044974938434374 ;\n", + "Epoch 570/1000, Cost: 3.5819\n", + " and the parameters are [-2.84495269 3.86339054] -5.045077470784733 ;\n", + "Epoch 570/1000, Cost: 2.6074\n", + " and the parameters are [-2.84497793 3.86338158] -5.045099624343793 ;\n", + "Epoch 570/1000, Cost: 4.1417\n", + " and the parameters are [-2.84494149 3.86341451] -5.045117311347238 ;\n", + "Epoch 570/1000, Cost: 2.4748\n", + " and the parameters are [-2.84495653 3.86347012] -5.045103718680999 ;\n", + "Epoch 570/1000, Cost: 1.7836\n", + " and the parameters are [-2.84496584 3.86353915] -5.045076520095798 ;\n", + "Epoch 570/1000, Cost: 3.5702\n", + " and the parameters are [-2.84500205 3.86342624] -5.045163116393002 ;\n", + "Epoch 570/1000, Cost: 2.2541\n", + " and the parameters are [-2.84496744 3.86346705] -5.045169963116961 ;\n", + "Epoch 570/1000, Cost: 2.2758\n", + " and the parameters are [-2.84496776 3.86354377] -5.045155601388932 ;\n", + "Epoch 570/1000, Cost: 7.4032\n", + " and the parameters are [-2.84505433 3.86358723] -5.0450549960585365 ;\n", + "Epoch 570/1000, Cost: 1.8052\n", + " and the parameters are [-2.84506047 3.86355168] -5.045109271073754 ;\n", + "Epoch 570/1000, Cost: 2.7029\n", + " and the parameters are [-2.8450812 3.86361198] -5.0450781105347495 ;\n", + "Epoch 570/1000, Cost: 3.2406\n", + " and the parameters are [-2.84510288 3.8636106 ] -5.0451012667512245 ;\n", + "Epoch 570/1000, Cost: 2.7080\n", + " and the parameters are [-2.84510102 3.86368843] -5.045075280354111 ;\n", + "Epoch 570/1000, Cost: 4.7201\n", + " and the parameters are [-2.84510305 3.8636406 ] -5.045122319961221 ;\n", + "Epoch 570/1000, Cost: 2.4907\n", + " and the parameters are [-2.84517149 3.86364543] -5.04510881524449 ;\n", + "Epoch 570/1000, Cost: 3.7721\n", + " and the parameters are [-2.84516822 3.86368693] -5.0451011670444075 ;\n", + "Epoch 570/1000, Cost: 4.2419\n", + " and the parameters are [-2.84515026 3.86377918] -5.045071101634157 ;\n", + "Epoch 570/1000, Cost: 5.6528\n", + " and the parameters are [-2.84514486 3.86376168] -5.045101391505158 ;\n", + "Epoch 570/1000, Cost: 2.0202\n", + " and the parameters are [-2.84517676 3.86378859] -5.045094796066892 ;\n", + "Epoch 570/1000, Cost: 1.6692\n", + " and the parameters are [-2.84517086 3.86379608] -5.045126547440121 ;\n", + "Epoch 580/1000, Cost: 4.8486\n", + " and the parameters are [-2.85765651 3.87941991] -5.067296467220536 ;\n", + "Epoch 580/1000, Cost: 3.4111\n", + " and the parameters are [-2.85766811 3.87939943] -5.067335783983577 ;\n", + "Epoch 580/1000, Cost: 2.3633\n", + " and the parameters are [-2.85769443 3.87935623] -5.067378229643877 ;\n", + "Epoch 580/1000, Cost: 3.0289\n", + " and the parameters are [-2.85771676 3.87932336] -5.067413479828383 ;\n", + "Epoch 580/1000, Cost: 4.4059\n", + " and the parameters are [-2.85772654 3.87920118] -5.06751751988413 ;\n", + "Epoch 580/1000, Cost: 2.9605\n", + " and the parameters are [-2.85772923 3.87928981] -5.067487663846929 ;\n", + "Epoch 580/1000, Cost: 2.1374\n", + " and the parameters are [-2.85774454 3.87939294] -5.067429591091604 ;\n", + "Epoch 580/1000, Cost: 3.7550\n", + " and the parameters are [-2.85778504 3.87939464] -5.067445005116094 ;\n", + "Epoch 580/1000, Cost: 3.2852\n", + " and the parameters are [-2.85780392 3.87942733] -5.067422842867055 ;\n", + "Epoch 580/1000, Cost: 2.0262\n", + " and the parameters are [-2.85780185 3.87945967] -5.067436822694297 ;\n", + "Epoch 580/1000, Cost: 2.6583\n", + " and the parameters are [-2.85779858 3.87957068] -5.067374014102441 ;\n", + "Epoch 580/1000, Cost: 1.8183\n", + " and the parameters are [-2.85780562 3.87960626] -5.067377933890653 ;\n", + "Epoch 580/1000, Cost: 0.9254\n", + " and the parameters are [-2.85779558 3.87964556] -5.067378295763524 ;\n", + "Epoch 580/1000, Cost: 7.3851\n", + " and the parameters are [-2.8577536 3.87976904] -5.067321964886552 ;\n", + "Epoch 580/1000, Cost: 1.1789\n", + " and the parameters are [-2.8577505 3.87976511] -5.067351105644578 ;\n", + "Epoch 580/1000, Cost: 2.2218\n", + " and the parameters are [-2.85771406 3.87977959] -5.06737773385097 ;\n", + "Epoch 580/1000, Cost: 4.1800\n", + " and the parameters are [-2.85761273 3.8799782 ] -5.06732273990289 ;\n", + "Epoch 580/1000, Cost: 2.3832\n", + " and the parameters are [-2.85767739 3.88003261] -5.06728401458507 ;\n", + "Epoch 580/1000, Cost: 1.7848\n", + " and the parameters are [-2.85766235 3.88012606] -5.067244043586557 ;\n", + "Epoch 580/1000, Cost: 2.3007\n", + " and the parameters are [-2.85768154 3.8801251 ] -5.067261030502138 ;\n", + "Epoch 580/1000, Cost: 4.0788\n", + " and the parameters are [-2.85772698 3.88000849] -5.067341397369341 ;\n", + "Epoch 580/1000, Cost: 1.8565\n", + " and the parameters are [-2.85772946 3.88005843] -5.067335324722786 ;\n", + "Epoch 580/1000, Cost: 2.2465\n", + " and the parameters are [-2.85773903 3.88002641] -5.06738869461754 ;\n", + "Epoch 580/1000, Cost: 3.7529\n", + " and the parameters are [-2.85769222 3.88009017] -5.067379899145818 ;\n", + "Epoch 580/1000, Cost: 5.5015\n", + " and the parameters are [-2.85770062 3.88004262] -5.06742148803762 ;\n", + "Epoch 580/1000, Cost: 2.9679\n", + " and the parameters are [-2.85769622 3.88003206] -5.067458054770407 ;\n", + "Epoch 580/1000, Cost: 6.4465\n", + " and the parameters are [-2.85776091 3.8799611 ] -5.067478730642492 ;\n", + "Epoch 580/1000, Cost: 6.3153\n", + " and the parameters are [-2.8576679 3.87991989] -5.0675797608348185 ;\n", + "Epoch 580/1000, Cost: 1.5377\n", + " and the parameters are [-2.85767502 3.87999102] -5.067553672531056 ;\n", + "Epoch 580/1000, Cost: 5.2358\n", + " and the parameters are [-2.85765615 3.88005233] -5.067547093739986 ;\n", + "Epoch 580/1000, Cost: 5.2859\n", + " and the parameters are [-2.8577772 3.87994596] -5.067570537085443 ;\n", + "Epoch 580/1000, Cost: 1.2499\n", + " and the parameters are [-2.85779114 3.87996499] -5.06757664007457 ;\n", + "Epoch 580/1000, Cost: 4.8163\n", + " and the parameters are [-2.85783794 3.88009966] -5.067479573355829 ;\n", + "Epoch 580/1000, Cost: 6.8749\n", + " and the parameters are [-2.85774765 3.88009736] -5.0675347849646135 ;\n", + "Epoch 580/1000, Cost: 1.7656\n", + " and the parameters are [-2.85779696 3.88007835] -5.067556586915864 ;\n", + "Epoch 580/1000, Cost: 1.8500\n", + " and the parameters are [-2.85788151 3.87998494] -5.067603772873118 ;\n", + "Epoch 580/1000, Cost: 1.7777\n", + " and the parameters are [-2.85790632 3.88000141] -5.067600901248358 ;\n", + "Epoch 580/1000, Cost: 5.0886\n", + " and the parameters are [-2.8579464 3.87990009] -5.067673207708442 ;\n", + "Epoch 580/1000, Cost: 1.6493\n", + " and the parameters are [-2.85793547 3.87990034] -5.067705975779976 ;\n", + "Epoch 580/1000, Cost: 2.9967\n", + " and the parameters are [-2.85795507 3.87990185] -5.067727498381401 ;\n", + "Epoch 580/1000, Cost: 1.9025\n", + " and the parameters are [-2.857937 3.87990259] -5.067771026993575 ;\n", + "Epoch 580/1000, Cost: 5.0122\n", + " and the parameters are [-2.85806009 3.87990791] -5.067729505686302 ;\n", + "Epoch 580/1000, Cost: 5.0036\n", + " and the parameters are [-2.85808171 3.87999066] -5.067675782514769 ;\n", + "Epoch 580/1000, Cost: 6.8690\n", + " and the parameters are [-2.85815596 3.87998231] -5.067642546315333 ;\n", + "Epoch 580/1000, Cost: 1.6006\n", + " and the parameters are [-2.85814887 3.88005421] -5.067621125957617 ;\n", + "Epoch 580/1000, Cost: 3.9033\n", + " and the parameters are [-2.85810506 3.88011005] -5.0676089652228615 ;\n", + "Epoch 580/1000, Cost: 4.0186\n", + " and the parameters are [-2.85804004 3.88025451] -5.06754479407351 ;\n", + "Epoch 580/1000, Cost: 5.9773\n", + " and the parameters are [-2.85804105 3.88026186] -5.067538652905218 ;\n", + "Epoch 580/1000, Cost: 0.9920\n", + " and the parameters are [-2.8580242 3.88026645] -5.067563473877557 ;\n", + "Epoch 580/1000, Cost: 2.3218\n", + " and the parameters are [-2.85804836 3.88019403] -5.067629175247053 ;\n", + "Epoch 580/1000, Cost: 1.0723\n", + " and the parameters are [-2.8580487 3.88019869] -5.067652613518331 ;\n", + "Epoch 580/1000, Cost: 1.2738\n", + " and the parameters are [-2.85805505 3.88022265] -5.067658124117157 ;\n", + "Epoch 580/1000, Cost: 4.0452\n", + " and the parameters are [-2.85808149 3.88030372] -5.067604677856313 ;\n", + "Epoch 580/1000, Cost: 2.6878\n", + " and the parameters are [-2.85807121 3.88033412] -5.06760946179795 ;\n", + "Epoch 580/1000, Cost: 3.4676\n", + " and the parameters are [-2.85813033 3.88025409] -5.067667452684532 ;\n", + "Epoch 580/1000, Cost: 5.5087\n", + " and the parameters are [-2.85813685 3.88037567] -5.067598988128007 ;\n", + "Epoch 580/1000, Cost: 1.7169\n", + " and the parameters are [-2.85810191 3.88048067] -5.067566093744016 ;\n", + "Epoch 580/1000, Cost: 1.9693\n", + " and the parameters are [-2.8580892 3.88054861] -5.06755273018305 ;\n", + "Epoch 580/1000, Cost: 3.2715\n", + " and the parameters are [-2.85805836 3.88061521] -5.067507874867158 ;\n", + "Epoch 580/1000, Cost: 3.6689\n", + " and the parameters are [-2.85812197 3.88052923] -5.067565969494716 ;\n", + "Epoch 580/1000, Cost: 3.3274\n", + " and the parameters are [-2.8580737 3.88062464] -5.067551242362885 ;\n", + "Epoch 580/1000, Cost: 1.4519\n", + " and the parameters are [-2.85807914 3.88060947] -5.067582507533474 ;\n", + "Epoch 580/1000, Cost: 1.1074\n", + " and the parameters are [-2.85810244 3.88062815] -5.067583878640994 ;\n", + "Epoch 580/1000, Cost: 3.1689\n", + " and the parameters are [-2.85811807 3.88055512] -5.067643626361828 ;\n", + "Epoch 580/1000, Cost: 3.4059\n", + " and the parameters are [-2.85817596 3.88042192] -5.067728458334905 ;\n", + "Epoch 580/1000, Cost: 3.7215\n", + " and the parameters are [-2.85826726 3.88029006] -5.067799815884138 ;\n", + "Epoch 580/1000, Cost: 5.5129\n", + " and the parameters are [-2.85831154 3.88019504] -5.067846062990593 ;\n", + "Epoch 580/1000, Cost: 2.4747\n", + " and the parameters are [-2.85834435 3.88021417] -5.067849383516577 ;\n", + "Epoch 580/1000, Cost: 2.1866\n", + " and the parameters are [-2.8583851 3.88020242] -5.067870891409427 ;\n", + "Epoch 580/1000, Cost: 5.4667\n", + " and the parameters are [-2.85837586 3.88020777] -5.067877806524867 ;\n", + "Epoch 580/1000, Cost: 4.4842\n", + " and the parameters are [-2.8584109 3.88027471] -5.067824273774322 ;\n", + "Epoch 580/1000, Cost: 2.9818\n", + " and the parameters are [-2.85844424 3.88020392] -5.067875689898147 ;\n", + "Epoch 580/1000, Cost: 2.1818\n", + " and the parameters are [-2.85842866 3.88024463] -5.067883599976253 ;\n", + "Epoch 580/1000, Cost: 3.3300\n", + " and the parameters are [-2.8584285 3.88025909] -5.067891371523582 ;\n", + "Epoch 580/1000, Cost: 3.2088\n", + " and the parameters are [-2.85845699 3.88019528] -5.067950168517478 ;\n", + "Epoch 580/1000, Cost: 2.1352\n", + " and the parameters are [-2.85848908 3.88018671] -5.067975207424556 ;\n", + "Epoch 580/1000, Cost: 3.4800\n", + " and the parameters are [-2.85850633 3.88016981] -5.068009374062658 ;\n", + "Epoch 580/1000, Cost: 4.2951\n", + " and the parameters are [-2.85847944 3.88029902] -5.0679655634797305 ;\n", + "Epoch 580/1000, Cost: 2.9678\n", + " and the parameters are [-2.85842547 3.88038143] -5.067964060839945 ;\n", + "Epoch 580/1000, Cost: 8.7306\n", + " and the parameters are [-2.85839518 3.88036113] -5.067970875637368 ;\n", + "Epoch 580/1000, Cost: 5.8962\n", + " and the parameters are [-2.85833824 3.88050794] -5.067891296364045 ;\n", + "Epoch 580/1000, Cost: 0.5043\n", + " and the parameters are [-2.85834219 3.88051725] -5.0678988826506695 ;\n", + "Epoch 580/1000, Cost: 5.0152\n", + " and the parameters are [-2.85844789 3.8804466 ] -5.067895118858592 ;\n", + "Epoch 580/1000, Cost: 3.3785\n", + " and the parameters are [-2.85854685 3.88053239] -5.067808721112232 ;\n", + "Epoch 580/1000, Cost: 4.2162\n", + " and the parameters are [-2.85860251 3.88050053] -5.067829364745969 ;\n", + "Epoch 580/1000, Cost: 4.0556\n", + " and the parameters are [-2.85861387 3.88049713] -5.067843277874639 ;\n", + "Epoch 580/1000, Cost: 2.0577\n", + " and the parameters are [-2.85865404 3.88055398] -5.067798344192513 ;\n", + "Epoch 580/1000, Cost: 2.2894\n", + " and the parameters are [-2.85865824 3.88060766] -5.067783922733329 ;\n", + "Epoch 580/1000, Cost: 1.6470\n", + " and the parameters are [-2.85868037 3.88062693] -5.067790315537101 ;\n", + "Epoch 580/1000, Cost: 3.1723\n", + " and the parameters are [-2.85874752 3.88048848] -5.067866121456922 ;\n", + "Epoch 580/1000, Cost: 2.1174\n", + " and the parameters are [-2.8588198 3.88041901] -5.067902817092962 ;\n", + "Epoch 580/1000, Cost: 2.2137\n", + " and the parameters are [-2.85884592 3.88044947] -5.067903875424121 ;\n", + "Epoch 580/1000, Cost: 2.4093\n", + " and the parameters are [-2.85889011 3.8804881 ] -5.067867883684935 ;\n", + "Epoch 580/1000, Cost: 2.4055\n", + " and the parameters are [-2.85882513 3.88051783] -5.067906767875997 ;\n", + "Epoch 580/1000, Cost: 3.9942\n", + " and the parameters are [-2.85884307 3.88050319] -5.067922021426041 ;\n", + "Epoch 580/1000, Cost: 2.1258\n", + " and the parameters are [-2.85884125 3.88054346] -5.067922471602241 ;\n", + "Epoch 580/1000, Cost: 3.2386\n", + " and the parameters are [-2.85882288 3.880687 ] -5.067847639160493 ;\n", + "Epoch 580/1000, Cost: 6.7101\n", + " and the parameters are [-2.85878904 3.88063038] -5.06790768450687 ;\n", + "Epoch 580/1000, Cost: 2.0858\n", + " and the parameters are [-2.85877236 3.88061493] -5.067963736291603 ;\n", + "Epoch 580/1000, Cost: 2.0931\n", + " and the parameters are [-2.85877199 3.8806301 ] -5.067982717477524 ;\n", + "Epoch 580/1000, Cost: 3.6095\n", + " and the parameters are [-2.85878548 3.88060844] -5.068013243954801 ;\n", + "Epoch 580/1000, Cost: 1.8721\n", + " and the parameters are [-2.85875721 3.88063186] -5.06805128576071 ;\n", + "Epoch 580/1000, Cost: 5.9118\n", + " and the parameters are [-2.85877212 3.88048685] -5.0681440142083085 ;\n", + "Epoch 580/1000, Cost: 3.3368\n", + " and the parameters are [-2.85868242 3.88052091] -5.068196476351732 ;\n", + "Epoch 580/1000, Cost: 3.1259\n", + " and the parameters are [-2.8587647 3.88048423] -5.068199849640188 ;\n", + "Epoch 580/1000, Cost: 3.7981\n", + " and the parameters are [-2.85888313 3.88040818] -5.068220107285927 ;\n", + "Epoch 580/1000, Cost: 4.2387\n", + " and the parameters are [-2.85885596 3.88034065] -5.068292651407062 ;\n", + "Epoch 580/1000, Cost: 1.5123\n", + " and the parameters are [-2.8588917 3.88030519] -5.068330014551964 ;\n", + "Epoch 580/1000, Cost: 1.4397\n", + " and the parameters are [-2.85887229 3.8802969 ] -5.068369160149923 ;\n", + "Epoch 580/1000, Cost: 2.1258\n", + " and the parameters are [-2.85881353 3.88030028] -5.0684228313029065 ;\n", + "Epoch 580/1000, Cost: 2.2106\n", + " and the parameters are [-2.85874902 3.88037814] -5.068433013468801 ;\n", + "Epoch 580/1000, Cost: 2.1722\n", + " and the parameters are [-2.8587862 3.88047579] -5.068371781352717 ;\n", + "Epoch 580/1000, Cost: 0.9160\n", + " and the parameters are [-2.85879708 3.88050154] -5.068371836354208 ;\n", + "Epoch 580/1000, Cost: 1.9694\n", + " and the parameters are [-2.85885412 3.88054499] -5.068332408636059 ;\n", + "Epoch 580/1000, Cost: 3.2169\n", + " and the parameters are [-2.85883862 3.8806319 ] -5.068279226991896 ;\n", + "Epoch 580/1000, Cost: 3.9718\n", + " and the parameters are [-2.858839 3.88069175] -5.068246278901396 ;\n", + "Epoch 580/1000, Cost: 1.6144\n", + " and the parameters are [-2.85878554 3.88078469] -5.068231074156885 ;\n", + "Epoch 580/1000, Cost: 3.8865\n", + " and the parameters are [-2.85877138 3.88077151] -5.0682769658700115 ;\n", + "Epoch 580/1000, Cost: 1.3340\n", + " and the parameters are [-2.85875416 3.88077426] -5.068315464354688 ;\n", + "Epoch 580/1000, Cost: 9.4485\n", + " and the parameters are [-2.85869246 3.88085793] -5.068249390256934 ;\n", + "Epoch 580/1000, Cost: 2.6174\n", + " and the parameters are [-2.85866639 3.88095928] -5.068232938147637 ;\n", + "Epoch 580/1000, Cost: 2.6001\n", + " and the parameters are [-2.85868835 3.88100568] -5.068218154255728 ;\n", + "Epoch 580/1000, Cost: 1.5012\n", + " and the parameters are [-2.85868716 3.88106944] -5.068202158599482 ;\n", + "Epoch 580/1000, Cost: 5.5732\n", + " and the parameters are [-2.85871478 3.88096261] -5.0682774756209135 ;\n", + "Epoch 580/1000, Cost: 1.2482\n", + " and the parameters are [-2.85872775 3.88100745] -5.06826152565948 ;\n", + "Epoch 580/1000, Cost: 2.2070\n", + " and the parameters are [-2.85874855 3.88093762] -5.0683328491065875 ;\n", + "Epoch 580/1000, Cost: 3.0947\n", + " and the parameters are [-2.85878857 3.88087635] -5.068374975933177 ;\n", + "Epoch 580/1000, Cost: 6.9301\n", + " and the parameters are [-2.85879539 3.88076727] -5.068450550751051 ;\n", + "Epoch 580/1000, Cost: 4.4029\n", + " and the parameters are [-2.85878753 3.8807036 ] -5.068505385843543 ;\n", + "Epoch 580/1000, Cost: 4.4473\n", + " and the parameters are [-2.85875127 3.88070421] -5.06854698764524 ;\n", + "Epoch 580/1000, Cost: 2.3277\n", + " and the parameters are [-2.85879579 3.8807091 ] -5.068544105338813 ;\n", + "Epoch 580/1000, Cost: 0.9449\n", + " and the parameters are [-2.85879646 3.88076688] -5.068525718221513 ;\n", + "Epoch 580/1000, Cost: 6.4927\n", + " and the parameters are [-2.85869079 3.88089482] -5.0684924922125605 ;\n", + "Epoch 580/1000, Cost: 3.2965\n", + " and the parameters are [-2.85872608 3.88092212] -5.068477093013979 ;\n", + "Epoch 580/1000, Cost: 1.9190\n", + " and the parameters are [-2.85874592 3.8809466 ] -5.0684839073976296 ;\n", + "Epoch 580/1000, Cost: 2.8254\n", + " and the parameters are [-2.85886297 3.88086068] -5.068513157009909 ;\n", + "Epoch 580/1000, Cost: 1.5406\n", + " and the parameters are [-2.85887231 3.88088651] -5.068517007437054 ;\n", + "Epoch 580/1000, Cost: 4.3680\n", + " and the parameters are [-2.85889121 3.88073626] -5.068626039228475 ;\n", + "Epoch 580/1000, Cost: 1.3449\n", + " and the parameters are [-2.85888571 3.8807519 ] -5.068644933567845 ;\n", + "Epoch 580/1000, Cost: 3.2086\n", + " and the parameters are [-2.8588734 3.88080497] -5.068629336724652 ;\n", + "Epoch 580/1000, Cost: 1.4077\n", + " and the parameters are [-2.85888562 3.88084969] -5.068615447836857 ;\n", + "Epoch 580/1000, Cost: 1.8076\n", + " and the parameters are [-2.85886087 3.88086101] -5.0686472631783825 ;\n", + "Epoch 580/1000, Cost: 5.1578\n", + " and the parameters are [-2.8588433 3.88082692] -5.068699424519835 ;\n", + "Epoch 580/1000, Cost: 3.2197\n", + " and the parameters are [-2.85879744 3.88089393] -5.06869088444299 ;\n", + "Epoch 580/1000, Cost: 4.4776\n", + " and the parameters are [-2.85867229 3.88103413] -5.068701235803681 ;\n", + "Epoch 580/1000, Cost: 1.3749\n", + " and the parameters are [-2.85869879 3.88101454] -5.068731755896742 ;\n", + "Epoch 580/1000, Cost: 5.4334\n", + " and the parameters are [-2.85869639 3.8809673 ] -5.068793129199606 ;\n", + "Epoch 580/1000, Cost: 2.8099\n", + " and the parameters are [-2.85869646 3.88094584] -5.068846721128294 ;\n", + "Epoch 580/1000, Cost: 3.2936\n", + " and the parameters are [-2.85880301 3.8807977 ] -5.068920316562691 ;\n", + "Epoch 580/1000, Cost: 2.5638\n", + " and the parameters are [-2.85876239 3.88077428] -5.06898715483843 ;\n", + "Epoch 580/1000, Cost: 2.9357\n", + " and the parameters are [-2.85875941 3.88080746] -5.068978007307894 ;\n", + "Epoch 580/1000, Cost: 5.2616\n", + " and the parameters are [-2.85872796 3.88075107] -5.069043925816732 ;\n", + "Epoch 580/1000, Cost: 1.9895\n", + " and the parameters are [-2.85875905 3.88078121] -5.06902961333736 ;\n", + "Epoch 580/1000, Cost: 2.9089\n", + " and the parameters are [-2.85873591 3.88082063] -5.0690479362869505 ;\n", + "Epoch 580/1000, Cost: 1.6173\n", + " and the parameters are [-2.8587169 3.88089445] -5.069028914158528 ;\n", + "Epoch 580/1000, Cost: 1.5000\n", + " and the parameters are [-2.85872011 3.88089272] -5.0690589737749026 ;\n", + "Epoch 580/1000, Cost: 1.9458\n", + " and the parameters are [-2.85876355 3.88083191] -5.0690965411345195 ;\n", + "Epoch 580/1000, Cost: 4.4618\n", + " and the parameters are [-2.85885994 3.88066839] -5.0691668985414955 ;\n", + "Epoch 580/1000, Cost: 2.7657\n", + " and the parameters are [-2.85892065 3.88064378] -5.069189210704909 ;\n", + "Epoch 580/1000, Cost: 3.2756\n", + " and the parameters are [-2.85888643 3.8807672 ] -5.069135566587068 ;\n", + "Epoch 580/1000, Cost: 3.7043\n", + " and the parameters are [-2.85880976 3.88083985] -5.069161047747954 ;\n", + "Epoch 580/1000, Cost: 1.8582\n", + " and the parameters are [-2.85886163 3.88075186] -5.069230381256928 ;\n", + "Epoch 580/1000, Cost: 2.0396\n", + " and the parameters are [-2.85890868 3.88072026] -5.069250830494899 ;\n", + "Epoch 580/1000, Cost: 6.0573\n", + " and the parameters are [-2.85883508 3.88083525] -5.069218422471984 ;\n", + "Epoch 580/1000, Cost: 2.6450\n", + " and the parameters are [-2.85888866 3.88077383] -5.069260383246566 ;\n", + "Epoch 580/1000, Cost: 3.8890\n", + " and the parameters are [-2.85889726 3.88068999] -5.069338052878053 ;\n", + "Epoch 580/1000, Cost: 6.9978\n", + " and the parameters are [-2.85875346 3.88070913] -5.0693885341046565 ;\n", + "Epoch 580/1000, Cost: 2.3865\n", + " and the parameters are [-2.85875964 3.88067244] -5.069447064099964 ;\n", + "Epoch 580/1000, Cost: 1.9752\n", + " and the parameters are [-2.85875695 3.88065413] -5.0694906822874 ;\n", + "Epoch 580/1000, Cost: 1.8186\n", + " and the parameters are [-2.85877451 3.88069568] -5.06947074138356 ;\n", + "Epoch 580/1000, Cost: 3.1647\n", + " and the parameters are [-2.85875802 3.88073208] -5.069489335791267 ;\n", + "Epoch 580/1000, Cost: 2.0992\n", + " and the parameters are [-2.8587306 3.8807605] -5.069520798347458 ;\n", + "Epoch 580/1000, Cost: 2.4899\n", + " and the parameters are [-2.85877375 3.88081415] -5.0694833059563384 ;\n", + "Epoch 580/1000, Cost: 3.4552\n", + " and the parameters are [-2.85884923 3.88081118] -5.06946796044034 ;\n", + "Epoch 580/1000, Cost: 1.3027\n", + " and the parameters are [-2.85881155 3.88087955] -5.069466336911954 ;\n", + "Epoch 580/1000, Cost: 2.2299\n", + " and the parameters are [-2.858802 3.88093183] -5.069470333127149 ;\n", + "Epoch 580/1000, Cost: 2.1150\n", + " and the parameters are [-2.85879198 3.88097068] -5.06948320237369 ;\n", + "Epoch 580/1000, Cost: 4.1672\n", + " and the parameters are [-2.85885283 3.88085023] -5.069569137324888 ;\n", + "Epoch 580/1000, Cost: 1.9302\n", + " and the parameters are [-2.85886838 3.88082311] -5.0696088124289895 ;\n", + "Epoch 580/1000, Cost: 3.8028\n", + " and the parameters are [-2.85891014 3.88083341] -5.069591274135305 ;\n", + "Epoch 580/1000, Cost: 1.9989\n", + " and the parameters are [-2.85889682 3.88093008] -5.0695675900559936 ;\n", + "Epoch 580/1000, Cost: 4.4351\n", + " and the parameters are [-2.85896328 3.88083497] -5.069630138794057 ;\n", + "Epoch 580/1000, Cost: 6.3192\n", + " and the parameters are [-2.85889303 3.88095357] -5.069586089108443 ;\n", + "Epoch 580/1000, Cost: 2.6152\n", + " and the parameters are [-2.85888256 3.8809015 ] -5.06965168326271 ;\n", + "Epoch 580/1000, Cost: 3.6553\n", + " and the parameters are [-2.8588613 3.88099001] -5.069607052037983 ;\n", + "Epoch 580/1000, Cost: 1.9052\n", + " and the parameters are [-2.85885679 3.88105487] -5.069586143442382 ;\n", + "Epoch 580/1000, Cost: 3.3458\n", + " and the parameters are [-2.85893011 3.88096167] -5.069629357536894 ;\n", + "Epoch 580/1000, Cost: 3.5559\n", + " and the parameters are [-2.85889854 3.88096977] -5.069662206447567 ;\n", + "Epoch 580/1000, Cost: 2.0403\n", + " and the parameters are [-2.8589074 3.88095608] -5.0696920921088235 ;\n", + "Epoch 580/1000, Cost: 2.5770\n", + " and the parameters are [-2.85895453 3.88095141] -5.069698403041749 ;\n", + "Epoch 580/1000, Cost: 3.9600\n", + " and the parameters are [-2.85889192 3.88105174] -5.069664334242855 ;\n", + "Epoch 580/1000, Cost: 4.4520\n", + " and the parameters are [-2.85888325 3.88103227] -5.069698703857878 ;\n", + "Epoch 580/1000, Cost: 3.3033\n", + " and the parameters are [-2.85886404 3.88105256] -5.069727131603369 ;\n", + "Epoch 580/1000, Cost: 1.7285\n", + " and the parameters are [-2.85885269 3.88106379] -5.06975889585861 ;\n", + "Epoch 580/1000, Cost: 5.0819\n", + " and the parameters are [-2.85893832 3.88088891] -5.069865891007774 ;\n", + "Epoch 580/1000, Cost: 2.3624\n", + " and the parameters are [-2.85896964 3.88097073] -5.069819595745164 ;\n", + "Epoch 580/1000, Cost: 6.8193\n", + " and the parameters are [-2.85898415 3.88108164] -5.069719892789701 ;\n", + "Epoch 580/1000, Cost: 4.1217\n", + " and the parameters are [-2.85900602 3.88095354] -5.069806729005507 ;\n", + "Epoch 580/1000, Cost: 4.9830\n", + " and the parameters are [-2.85902639 3.88097114] -5.069808559584092 ;\n", + "Epoch 580/1000, Cost: 2.3392\n", + " and the parameters are [-2.85901481 3.88105212] -5.069790786645951 ;\n", + "Epoch 590/1000, Cost: 1.9484\n", + " and the parameters are [-2.87126764 3.89637522] -5.091652006168514 ;\n", + "Epoch 590/1000, Cost: 2.0017\n", + " and the parameters are [-2.87129345 3.89639388] -5.091654622136589 ;\n", + "Epoch 590/1000, Cost: 5.4052\n", + " and the parameters are [-2.87133899 3.89626562] -5.09172906922886 ;\n", + "Epoch 590/1000, Cost: 2.3700\n", + " and the parameters are [-2.87138612 3.89615658] -5.091811580173763 ;\n", + "Epoch 590/1000, Cost: 2.7528\n", + " and the parameters are [-2.87145329 3.89609324] -5.091850674438895 ;\n", + "Epoch 590/1000, Cost: 4.1274\n", + " and the parameters are [-2.87140201 3.89603656] -5.091932178337911 ;\n", + "Epoch 590/1000, Cost: 4.5504\n", + " and the parameters are [-2.87148856 3.89601818] -5.091926834728976 ;\n", + "Epoch 590/1000, Cost: 5.3239\n", + " and the parameters are [-2.87166855 3.89595864] -5.091884454051377 ;\n", + "Epoch 590/1000, Cost: 3.3013\n", + " and the parameters are [-2.87170186 3.89587459] -5.091945688826783 ;\n", + "Epoch 590/1000, Cost: 1.1789\n", + " and the parameters are [-2.87168934 3.8959208 ] -5.091943721871949 ;\n", + "Epoch 590/1000, Cost: 5.2570\n", + " and the parameters are [-2.87176351 3.89574247] -5.0920345176950965 ;\n", + "Epoch 590/1000, Cost: 7.1919\n", + " and the parameters are [-2.87185156 3.8955635 ] -5.09211549303974 ;\n", + "Epoch 590/1000, Cost: 3.0086\n", + " and the parameters are [-2.87177908 3.89568143] -5.092093426072877 ;\n", + "Epoch 590/1000, Cost: 1.3676\n", + " and the parameters are [-2.8717857 3.8956623] -5.092132764375772 ;\n", + "Epoch 590/1000, Cost: 2.7058\n", + " and the parameters are [-2.87178468 3.8956494 ] -5.092165597542998 ;\n", + "Epoch 590/1000, Cost: 2.2380\n", + " and the parameters are [-2.871786 3.89571677] -5.092148085897291 ;\n", + "Epoch 590/1000, Cost: 2.8823\n", + " and the parameters are [-2.8718452 3.89562273] -5.092217733149479 ;\n", + "Epoch 590/1000, Cost: 2.3129\n", + " and the parameters are [-2.87185487 3.8956784 ] -5.092200087888966 ;\n", + "Epoch 590/1000, Cost: 1.2227\n", + " and the parameters are [-2.87187584 3.89571181] -5.092195062701455 ;\n", + "Epoch 590/1000, Cost: 3.2251\n", + " and the parameters are [-2.87187309 3.89571047] -5.092238259044494 ;\n", + "Epoch 590/1000, Cost: 5.0823\n", + " and the parameters are [-2.87177061 3.89585935] -5.092183924978306 ;\n", + "Epoch 590/1000, Cost: 3.3541\n", + " and the parameters are [-2.87183736 3.89579832] -5.092219667893064 ;\n", + "Epoch 590/1000, Cost: 1.0410\n", + " and the parameters are [-2.87182024 3.89587812] -5.092194332028061 ;\n", + "Epoch 590/1000, Cost: 2.0641\n", + " and the parameters are [-2.87188145 3.89584202] -5.092213036116598 ;\n", + "Epoch 590/1000, Cost: 3.6008\n", + " and the parameters are [-2.87191974 3.8958176 ] -5.0922376952776345 ;\n", + "Epoch 590/1000, Cost: 5.2235\n", + " and the parameters are [-2.87198047 3.89577615] -5.092229772096985 ;\n", + "Epoch 590/1000, Cost: 1.7649\n", + " and the parameters are [-2.87198611 3.89580539] -5.0922315602913635 ;\n", + "Epoch 590/1000, Cost: 3.8782\n", + " and the parameters are [-2.87203651 3.89575327] -5.092268141193227 ;\n", + "Epoch 590/1000, Cost: 1.9989\n", + " and the parameters are [-2.87206143 3.89582482] -5.092226305219416 ;\n", + "Epoch 590/1000, Cost: 3.2954\n", + " and the parameters are [-2.87199399 3.89591257] -5.092228651810801 ;\n", + "Epoch 590/1000, Cost: 2.6812\n", + " and the parameters are [-2.87199464 3.89599436] -5.0921933587777195 ;\n", + "Epoch 590/1000, Cost: 4.4324\n", + " and the parameters are [-2.87185803 3.89602932] -5.092256113098773 ;\n", + "Epoch 590/1000, Cost: 1.6279\n", + " and the parameters are [-2.87188989 3.89602076] -5.092276407943422 ;\n", + "Epoch 590/1000, Cost: 9.0855\n", + " and the parameters are [-2.87180293 3.89601365] -5.092302051219636 ;\n", + "Epoch 590/1000, Cost: 2.1426\n", + " and the parameters are [-2.87185061 3.89600011] -5.092316013282432 ;\n", + "Epoch 590/1000, Cost: 1.1069\n", + " and the parameters are [-2.87184809 3.89598257] -5.092349520403343 ;\n", + "Epoch 590/1000, Cost: 1.3346\n", + " and the parameters are [-2.87188021 3.89599075] -5.092347167045795 ;\n", + "Epoch 590/1000, Cost: 3.8354\n", + " and the parameters are [-2.87182548 3.8960708 ] -5.092357101799537 ;\n", + "Epoch 590/1000, Cost: 2.8910\n", + " and the parameters are [-2.87184392 3.89606401] -5.092374323217893 ;\n", + "Epoch 590/1000, Cost: 2.0725\n", + " and the parameters are [-2.87185082 3.89606787] -5.0923947260782185 ;\n", + "Epoch 590/1000, Cost: 1.9288\n", + " and the parameters are [-2.87189027 3.89612139] -5.0923695036007945 ;\n", + "Epoch 590/1000, Cost: 3.1487\n", + " and the parameters are [-2.87189647 3.89605501] -5.0924412726896096 ;\n", + "Epoch 590/1000, Cost: 4.5391\n", + " and the parameters are [-2.8718246 3.89609604] -5.09246396637351 ;\n", + "Epoch 590/1000, Cost: 6.8836\n", + " and the parameters are [-2.87172514 3.89615928] -5.092439816845223 ;\n", + "Epoch 590/1000, Cost: 2.8114\n", + " and the parameters are [-2.87164908 3.89621059] -5.092462392272965 ;\n", + "Epoch 590/1000, Cost: 3.9952\n", + " and the parameters are [-2.87159699 3.89631862] -5.0924247188791005 ;\n", + "Epoch 590/1000, Cost: 5.8507\n", + " and the parameters are [-2.87166775 3.89622392] -5.092477158723066 ;\n", + "Epoch 590/1000, Cost: 2.0264\n", + " and the parameters are [-2.87167644 3.89622558] -5.092501199473379 ;\n", + "Epoch 590/1000, Cost: 1.6829\n", + " and the parameters are [-2.87167509 3.89623663] -5.092515207846554 ;\n", + "Epoch 590/1000, Cost: 1.3805\n", + " and the parameters are [-2.87167703 3.89627183] -5.0925185360200365 ;\n", + "Epoch 590/1000, Cost: 1.9361\n", + " and the parameters are [-2.871688 3.89625871] -5.092555337619658 ;\n", + "Epoch 590/1000, Cost: 5.8271\n", + " and the parameters are [-2.8716207 3.89629892] -5.092560367202763 ;\n", + "Epoch 590/1000, Cost: 6.9803\n", + " and the parameters are [-2.8716302 3.8964653] -5.09240975034852 ;\n", + "Epoch 590/1000, Cost: 1.1838\n", + " and the parameters are [-2.87164889 3.89645993] -5.092429198449481 ;\n", + "Epoch 590/1000, Cost: 3.8344\n", + " and the parameters are [-2.87168087 3.89645387] -5.09244284424928 ;\n", + "Epoch 590/1000, Cost: 4.9206\n", + " and the parameters are [-2.87179247 3.89630536] -5.092492212141864 ;\n", + "Epoch 590/1000, Cost: 4.8873\n", + " and the parameters are [-2.87177884 3.8962274 ] -5.092561562274588 ;\n", + "Epoch 590/1000, Cost: 2.6869\n", + " and the parameters are [-2.87179866 3.89622617] -5.092572907142697 ;\n", + "Epoch 590/1000, Cost: 2.0091\n", + " and the parameters are [-2.87178986 3.89620584] -5.092612914209168 ;\n", + "Epoch 590/1000, Cost: 3.0284\n", + " and the parameters are [-2.8717442 3.89619197] -5.092677389903787 ;\n", + "Epoch 590/1000, Cost: 6.0529\n", + " and the parameters are [-2.87172292 3.89616497] -5.092734572566702 ;\n", + "Epoch 590/1000, Cost: 1.6049\n", + " and the parameters are [-2.87169861 3.89624436] -5.092718026744167 ;\n", + "Epoch 590/1000, Cost: 3.0454\n", + " and the parameters are [-2.87172796 3.89617785] -5.092776747544981 ;\n", + "Epoch 590/1000, Cost: 1.6573\n", + " and the parameters are [-2.87172532 3.89627367] -5.092732805835643 ;\n", + "Epoch 590/1000, Cost: 4.5890\n", + " and the parameters are [-2.87171457 3.89637667] -5.092697023757036 ;\n", + "Epoch 590/1000, Cost: 3.8222\n", + " and the parameters are [-2.87186044 3.8962058 ] -5.092769396237429 ;\n", + "Epoch 590/1000, Cost: 2.0472\n", + " and the parameters are [-2.87184708 3.8962079 ] -5.092794973766866 ;\n", + "Epoch 590/1000, Cost: 5.6154\n", + " and the parameters are [-2.8718432 3.8961074] -5.092878034491253 ;\n", + "Epoch 590/1000, Cost: 1.5991\n", + " and the parameters are [-2.87181293 3.89615044] -5.092892034231487 ;\n", + "Epoch 590/1000, Cost: 3.8145\n", + " and the parameters are [-2.87180153 3.89624101] -5.09286088791083 ;\n", + "Epoch 590/1000, Cost: 3.7024\n", + " and the parameters are [-2.87183954 3.89622044] -5.09288095014296 ;\n", + "Epoch 590/1000, Cost: 3.2968\n", + " and the parameters are [-2.87190709 3.89621327] -5.092873100335079 ;\n", + "Epoch 590/1000, Cost: 4.9222\n", + " and the parameters are [-2.87186874 3.89625914] -5.092869709307801 ;\n", + "Epoch 590/1000, Cost: 3.1185\n", + " and the parameters are [-2.87187161 3.89625296] -5.092899191544166 ;\n", + "Epoch 590/1000, Cost: 4.1669\n", + " and the parameters are [-2.87190682 3.89622496] -5.0929341646769695 ;\n", + "Epoch 590/1000, Cost: 1.9655\n", + " and the parameters are [-2.8719312 3.89626752] -5.09291489704736 ;\n", + "Epoch 590/1000, Cost: 1.8488\n", + " and the parameters are [-2.87199394 3.89629095] -5.092889002865562 ;\n", + "Epoch 590/1000, Cost: 5.1320\n", + " and the parameters are [-2.87205304 3.89630098] -5.092853012720211 ;\n", + "Epoch 590/1000, Cost: 1.9031\n", + " and the parameters are [-2.87207398 3.89632295] -5.092844426748794 ;\n", + "Epoch 590/1000, Cost: 2.4005\n", + " and the parameters are [-2.87202471 3.89634316] -5.092890215421142 ;\n", + "Epoch 590/1000, Cost: 3.0926\n", + " and the parameters are [-2.87202529 3.8964674 ] -5.092821701046883 ;\n", + "Epoch 590/1000, Cost: 2.6459\n", + " and the parameters are [-2.87203158 3.89641993] -5.092878729588438 ;\n", + "Epoch 590/1000, Cost: 2.5235\n", + " and the parameters are [-2.87204867 3.8964433 ] -5.092882486360095 ;\n", + "Epoch 590/1000, Cost: 2.7748\n", + " and the parameters are [-2.87204769 3.8964967 ] -5.0928506326948675 ;\n", + "Epoch 590/1000, Cost: 4.7207\n", + " and the parameters are [-2.87208714 3.89645354] -5.092879389878468 ;\n", + "Epoch 590/1000, Cost: 3.4358\n", + " and the parameters are [-2.87204811 3.89648922] -5.092882941835624 ;\n", + "Epoch 590/1000, Cost: 2.6199\n", + " and the parameters are [-2.87200965 3.8965758 ] -5.0928751765774205 ;\n", + "Epoch 590/1000, Cost: 2.0509\n", + " and the parameters are [-2.87204073 3.89653404] -5.09292045964907 ;\n", + "Epoch 590/1000, Cost: 2.4796\n", + " and the parameters are [-2.87204767 3.89653952] -5.092936943817352 ;\n", + "Epoch 590/1000, Cost: 5.2837\n", + " and the parameters are [-2.87213731 3.89649883] -5.092929958452413 ;\n", + "Epoch 590/1000, Cost: 0.9864\n", + " and the parameters are [-2.87216197 3.89652891] -5.092916928468735 ;\n", + "Epoch 590/1000, Cost: 2.5890\n", + " and the parameters are [-2.87222537 3.8965019 ] -5.092921191184583 ;\n", + "Epoch 590/1000, Cost: 5.4827\n", + " and the parameters are [-2.87225785 3.89638663] -5.092977470897135 ;\n", + "Epoch 590/1000, Cost: 5.0801\n", + " and the parameters are [-2.87228515 3.89647023] -5.0929138949663955 ;\n", + "Epoch 590/1000, Cost: 2.2883\n", + " and the parameters are [-2.87233327 3.89643671] -5.0929378385424 ;\n", + "Epoch 590/1000, Cost: 4.6943\n", + " and the parameters are [-2.87233445 3.89639583] -5.0929726023206054 ;\n", + "Epoch 590/1000, Cost: 1.1687\n", + " and the parameters are [-2.87233737 3.89640842] -5.092987902548625 ;\n", + "Epoch 590/1000, Cost: 2.8232\n", + " and the parameters are [-2.87236921 3.89641694] -5.092987706771878 ;\n", + "Epoch 590/1000, Cost: 2.4025\n", + " and the parameters are [-2.87234918 3.8964816 ] -5.092976478896384 ;\n", + "Epoch 590/1000, Cost: 1.4087\n", + " and the parameters are [-2.87235712 3.89645848] -5.093020311860608 ;\n", + "Epoch 590/1000, Cost: 4.0188\n", + " and the parameters are [-2.87225001 3.89652687] -5.093041777308906 ;\n", + "Epoch 590/1000, Cost: 2.2505\n", + " and the parameters are [-2.87225256 3.89647697] -5.093105616199526 ;\n", + "Epoch 590/1000, Cost: 5.6353\n", + " and the parameters are [-2.8721929 3.89639019] -5.093211640454088 ;\n", + "Epoch 590/1000, Cost: 1.7462\n", + " and the parameters are [-2.87216961 3.89638641] -5.093258748709716 ;\n", + "Epoch 590/1000, Cost: 2.7381\n", + " and the parameters are [-2.87210421 3.89638887] -5.093312238415708 ;\n", + "Epoch 590/1000, Cost: 1.8608\n", + " and the parameters are [-2.8721289 3.89634921] -5.093359097531129 ;\n", + "Epoch 590/1000, Cost: 2.0440\n", + " and the parameters are [-2.87209049 3.89638151] -5.093392525992008 ;\n", + "Epoch 590/1000, Cost: 2.5915\n", + " and the parameters are [-2.87211095 3.89638589] -5.093417110718726 ;\n", + "Epoch 590/1000, Cost: 3.4689\n", + " and the parameters are [-2.87215708 3.89642549] -5.093392775223444 ;\n", + "Epoch 590/1000, Cost: 1.0648\n", + " and the parameters are [-2.87214638 3.89646449] -5.093395672253633 ;\n", + "Epoch 590/1000, Cost: 4.1767\n", + " and the parameters are [-2.87218396 3.89639284] -5.093430529745466 ;\n", + "Epoch 590/1000, Cost: 4.6125\n", + " and the parameters are [-2.87223133 3.89626323] -5.0935146195564185 ;\n", + "Epoch 590/1000, Cost: 4.0479\n", + " and the parameters are [-2.87229041 3.89623483] -5.09352681967333 ;\n", + "Epoch 590/1000, Cost: 2.0941\n", + " and the parameters are [-2.87237765 3.8961919 ] -5.093543989111222 ;\n", + "Epoch 590/1000, Cost: 9.0077\n", + " and the parameters are [-2.87228834 3.89633688] -5.093470125869748 ;\n", + "Epoch 590/1000, Cost: 1.3307\n", + " and the parameters are [-2.87231093 3.89636567] -5.0934593490274525 ;\n", + "Epoch 590/1000, Cost: 5.2722\n", + " and the parameters are [-2.8723329 3.89646952] -5.0933841826590776 ;\n", + "Epoch 590/1000, Cost: 1.8470\n", + " and the parameters are [-2.87233098 3.89646468] -5.0934178682089595 ;\n", + "Epoch 590/1000, Cost: 2.7038\n", + " and the parameters are [-2.8723384 3.89651425] -5.093403162637778 ;\n", + "Epoch 590/1000, Cost: 2.9414\n", + " and the parameters are [-2.87236141 3.8965513 ] -5.09340054656708 ;\n", + "Epoch 590/1000, Cost: 1.2449\n", + " and the parameters are [-2.87231227 3.89657749] -5.093423728808231 ;\n", + "Epoch 590/1000, Cost: 3.1522\n", + " and the parameters are [-2.87231504 3.89652769] -5.093484061877516 ;\n", + "Epoch 590/1000, Cost: 4.7953\n", + " and the parameters are [-2.87233846 3.8964671 ] -5.09352978134157 ;\n", + "Epoch 590/1000, Cost: 5.7841\n", + " and the parameters are [-2.87237508 3.89647284] -5.093523772708844 ;\n", + "Epoch 590/1000, Cost: 5.0269\n", + " and the parameters are [-2.872265 3.8965643] -5.093530511853368 ;\n", + "Epoch 590/1000, Cost: 2.1089\n", + " and the parameters are [-2.87223003 3.89664478] -5.093517122048379 ;\n", + "Epoch 590/1000, Cost: 4.9752\n", + " and the parameters are [-2.87219857 3.89663229] -5.093560315147161 ;\n", + "Epoch 590/1000, Cost: 2.6145\n", + " and the parameters are [-2.87224092 3.8965502 ] -5.093627929556596 ;\n", + "Epoch 590/1000, Cost: 2.4798\n", + " and the parameters are [-2.87220988 3.896535 ] -5.093692848469305 ;\n", + "Epoch 590/1000, Cost: 2.7807\n", + " and the parameters are [-2.87215801 3.89662312] -5.093689547202148 ;\n", + "Epoch 590/1000, Cost: 3.8854\n", + " and the parameters are [-2.87216441 3.89668777] -5.093649691001134 ;\n", + "Epoch 590/1000, Cost: 2.3883\n", + " and the parameters are [-2.87210523 3.89679475] -5.09362422046402 ;\n", + "Epoch 590/1000, Cost: 4.3631\n", + " and the parameters are [-2.8721874 3.89683234] -5.093577275788042 ;\n", + "Epoch 590/1000, Cost: 3.6996\n", + " and the parameters are [-2.87223584 3.89678153] -5.093626436693014 ;\n", + "Epoch 590/1000, Cost: 1.3851\n", + " and the parameters are [-2.8722262 3.89685107] -5.09361012225466 ;\n", + "Epoch 590/1000, Cost: 2.1166\n", + " and the parameters are [-2.8721793 3.89698188] -5.093562189279998 ;\n", + "Epoch 590/1000, Cost: 2.0785\n", + " and the parameters are [-2.87220635 3.89694929] -5.093603112862626 ;\n", + "Epoch 590/1000, Cost: 5.8366\n", + " and the parameters are [-2.87217308 3.89698424] -5.093584337963356 ;\n", + "Epoch 590/1000, Cost: 3.3252\n", + " and the parameters are [-2.87217968 3.89695632] -5.093628189300581 ;\n", + "Epoch 590/1000, Cost: 7.4457\n", + " and the parameters are [-2.87215317 3.89703648] -5.093561932350657 ;\n", + "Epoch 590/1000, Cost: 2.1977\n", + " and the parameters are [-2.87213636 3.89703351] -5.093603295121166 ;\n", + "Epoch 590/1000, Cost: 1.0514\n", + " and the parameters are [-2.87216532 3.89699099] -5.093640885001676 ;\n", + "Epoch 590/1000, Cost: 4.7105\n", + " and the parameters are [-2.87223972 3.89696618] -5.0936483567295285 ;\n", + "Epoch 590/1000, Cost: 1.2694\n", + " and the parameters are [-2.87225522 3.89697631] -5.093661116012208 ;\n", + "Epoch 590/1000, Cost: 2.0784\n", + " and the parameters are [-2.87226914 3.89706441] -5.093611187433379 ;\n", + "Epoch 590/1000, Cost: 3.3561\n", + " and the parameters are [-2.87224643 3.89706073] -5.093660635849699 ;\n", + "Epoch 590/1000, Cost: 2.6637\n", + " and the parameters are [-2.87221241 3.89700658] -5.093744238974262 ;\n", + "Epoch 590/1000, Cost: 1.1237\n", + " and the parameters are [-2.87220222 3.89705512] -5.093745316430108 ;\n", + "Epoch 590/1000, Cost: 2.5007\n", + " and the parameters are [-2.87223611 3.89703059] -5.093780761016755 ;\n", + "Epoch 590/1000, Cost: 6.3359\n", + " and the parameters are [-2.8722031 3.89703114] -5.093806867153596 ;\n", + "Epoch 590/1000, Cost: 4.1947\n", + " and the parameters are [-2.87220751 3.89701018] -5.093835755321935 ;\n", + "Epoch 590/1000, Cost: 1.0528\n", + " and the parameters are [-2.87219397 3.89704732] -5.093841304221381 ;\n", + "Epoch 590/1000, Cost: 2.2245\n", + " and the parameters are [-2.87220103 3.89708945] -5.093838138943763 ;\n", + "Epoch 590/1000, Cost: 4.6427\n", + " and the parameters are [-2.87234673 3.89695034] -5.093878326752168 ;\n", + "Epoch 590/1000, Cost: 2.4299\n", + " and the parameters are [-2.87240178 3.89691303] -5.09391810826925 ;\n", + "Epoch 590/1000, Cost: 4.6670\n", + " and the parameters are [-2.87238265 3.89693652] -5.093937254075789 ;\n", + "Epoch 590/1000, Cost: 5.7691\n", + " and the parameters are [-2.87227025 3.8971512 ] -5.093843549992069 ;\n", + "Epoch 590/1000, Cost: 2.0398\n", + " and the parameters are [-2.87233861 3.89715173] -5.093826819886979 ;\n", + "Epoch 590/1000, Cost: 1.9623\n", + " and the parameters are [-2.87233648 3.89713959] -5.0938732009679315 ;\n", + "Epoch 590/1000, Cost: 4.0747\n", + " and the parameters are [-2.87231906 3.89721862] -5.093858136928148 ;\n", + "Epoch 590/1000, Cost: 7.3221\n", + " and the parameters are [-2.87239756 3.89726428] -5.093783846107454 ;\n", + "Epoch 590/1000, Cost: 3.0615\n", + " and the parameters are [-2.87245668 3.89732295] -5.0937254856426275 ;\n", + "Epoch 590/1000, Cost: 2.1248\n", + " and the parameters are [-2.8724311 3.89739273] -5.093725697987555 ;\n", + "Epoch 590/1000, Cost: 2.3018\n", + " and the parameters are [-2.87250555 3.89735961] -5.093721415453833 ;\n", + "Epoch 590/1000, Cost: 2.3304\n", + " and the parameters are [-2.87250613 3.89737881] -5.0937397653864345 ;\n", + "Epoch 590/1000, Cost: 1.8134\n", + " and the parameters are [-2.8724586 3.89740374] -5.093771780725368 ;\n", + "Epoch 590/1000, Cost: 2.6605\n", + " and the parameters are [-2.87244882 3.89745937] -5.093778955292884 ;\n", + "Epoch 590/1000, Cost: 5.0488\n", + " and the parameters are [-2.87239881 3.89747718] -5.093815018473061 ;\n", + "Epoch 590/1000, Cost: 4.1134\n", + " and the parameters are [-2.8724849 3.89749832] -5.09377393837465 ;\n", + "Epoch 590/1000, Cost: 1.9638\n", + " and the parameters are [-2.87251566 3.89750456] -5.093774603053764 ;\n", + "Epoch 590/1000, Cost: 2.4798\n", + " and the parameters are [-2.87253658 3.89755217] -5.093765329037499 ;\n", + "Epoch 590/1000, Cost: 1.5699\n", + " and the parameters are [-2.87253783 3.89757108] -5.0937851650735935 ;\n", + "Epoch 590/1000, Cost: 2.8861\n", + " and the parameters are [-2.87252406 3.89773782] -5.093698691532687 ;\n", + "Epoch 590/1000, Cost: 7.0873\n", + " and the parameters are [-2.87247109 3.89770807] -5.093742677781994 ;\n", + "Epoch 590/1000, Cost: 2.3150\n", + " and the parameters are [-2.8724768 3.89772845] -5.093762986910374 ;\n", + "Epoch 590/1000, Cost: 2.1669\n", + " and the parameters are [-2.87249962 3.89776464] -5.093751080196961 ;\n", + "Epoch 590/1000, Cost: 3.3244\n", + " and the parameters are [-2.8725458 3.89777454] -5.093749470720354 ;\n", + "Epoch 590/1000, Cost: 4.3754\n", + " and the parameters are [-2.87259576 3.89779161] -5.093737241464392 ;\n", + "Epoch 590/1000, Cost: 1.3182\n", + " and the parameters are [-2.87259493 3.89780236] -5.09375658660442 ;\n", + "Epoch 590/1000, Cost: 2.9414\n", + " and the parameters are [-2.87258864 3.89783857] -5.0937664974833 ;\n", + "Epoch 590/1000, Cost: 2.4821\n", + " and the parameters are [-2.87258063 3.89785197] -5.093797457849617 ;\n", + "Epoch 590/1000, Cost: 4.0581\n", + " and the parameters are [-2.87268512 3.89772641] -5.093843290699539 ;\n", + "Epoch 590/1000, Cost: 3.5679\n", + " and the parameters are [-2.87274102 3.89784417] -5.093743184008868 ;\n", + "Epoch 590/1000, Cost: 3.1195\n", + " and the parameters are [-2.87274442 3.89791637] -5.093710197835183 ;\n", + "Epoch 590/1000, Cost: 2.1594\n", + " and the parameters are [-2.87271607 3.89795743] -5.093730302681047 ;\n", + "Epoch 590/1000, Cost: 1.4207\n", + " and the parameters are [-2.87274563 3.89793272] -5.093759832444335 ;\n", + "Epoch 590/1000, Cost: 4.6783\n", + " and the parameters are [-2.87273526 3.89785476] -5.093839488347436 ;\n", + "Epoch 590/1000, Cost: 1.8996\n", + " and the parameters are [-2.87272459 3.89789786] -5.09383993771025 ;\n", + "Epoch 590/1000, Cost: 2.3162\n", + " and the parameters are [-2.87276591 3.89788262] -5.0938596015834685 ;\n", + "Epoch 590/1000, Cost: 2.9249\n", + " and the parameters are [-2.87276877 3.89796828] -5.093819713765932 ;\n", + "Epoch 590/1000, Cost: 4.0582\n", + " and the parameters are [-2.87275302 3.89788164] -5.093904799812651 ;\n", + "Epoch 590/1000, Cost: 5.7740\n", + " and the parameters are [-2.87271449 3.89794171] -5.093879807086573 ;\n", + "Epoch 590/1000, Cost: 2.0772\n", + " and the parameters are [-2.87268191 3.89796839] -5.093906761404014 ;\n", + "Epoch 590/1000, Cost: 1.2441\n", + " and the parameters are [-2.87267586 3.89803694] -5.093876881656927 ;\n", + "Epoch 590/1000, Cost: 1.9979\n", + " and the parameters are [-2.87265148 3.898076 ] -5.09388455467873 ;\n", + "Epoch 590/1000, Cost: 2.9814\n", + " and the parameters are [-2.87273239 3.89795511] -5.093957122775155 ;\n", + "Epoch 590/1000, Cost: 5.2934\n", + " and the parameters are [-2.87262064 3.89798032] -5.094006954918949 ;\n", + "Epoch 590/1000, Cost: 2.5770\n", + " and the parameters are [-2.87263934 3.89803962] -5.093984889241832 ;\n", + "Epoch 590/1000, Cost: 1.1555\n", + " and the parameters are [-2.87264609 3.89805386] -5.093998233163455 ;\n", + "Epoch 590/1000, Cost: 2.7335\n", + " and the parameters are [-2.87264377 3.89802801] -5.094048972678336 ;\n", + "Epoch 600/1000, Cost: 1.6905\n", + " and the parameters are [-2.88469677 3.9131341 ] -5.115550721008115 ;\n", + "Epoch 600/1000, Cost: 6.1915\n", + " and the parameters are [-2.88463932 3.91321317] -5.11552549422834 ;\n", + "Epoch 600/1000, Cost: 1.2624\n", + " and the parameters are [-2.88460215 3.91331273] -5.115493697327804 ;\n", + "Epoch 600/1000, Cost: 2.4818\n", + " and the parameters are [-2.88456079 3.91343575] -5.1154534317212965 ;\n", + "Epoch 600/1000, Cost: 2.0431\n", + " and the parameters are [-2.88455314 3.91344528] -5.115486601877588 ;\n", + "Epoch 600/1000, Cost: 1.6405\n", + " and the parameters are [-2.88452163 3.91351047] -5.115478777109332 ;\n", + "Epoch 600/1000, Cost: 3.9843\n", + " and the parameters are [-2.88449379 3.91360342] -5.115445497507913 ;\n", + "Epoch 600/1000, Cost: 1.5392\n", + " and the parameters are [-2.88444328 3.91363706] -5.115477758931077 ;\n", + "Epoch 600/1000, Cost: 1.8073\n", + " and the parameters are [-2.88443076 3.91363878] -5.11550805546624 ;\n", + "Epoch 600/1000, Cost: 4.9955\n", + " and the parameters are [-2.88453568 3.91344974] -5.115613482696043 ;\n", + "Epoch 600/1000, Cost: 1.6062\n", + " and the parameters are [-2.88453972 3.91348903] -5.11561760022154 ;\n", + "Epoch 600/1000, Cost: 5.0665\n", + " and the parameters are [-2.88450843 3.91340264] -5.115710412192901 ;\n", + "Epoch 600/1000, Cost: 3.8944\n", + " and the parameters are [-2.88451362 3.91337853] -5.115758603768277 ;\n", + "Epoch 600/1000, Cost: 1.9749\n", + " and the parameters are [-2.88454026 3.91332918] -5.115803932499095 ;\n", + "Epoch 600/1000, Cost: 1.8008\n", + " and the parameters are [-2.88452971 3.91336277] -5.115815997105479 ;\n", + "Epoch 600/1000, Cost: 4.8928\n", + " and the parameters are [-2.88450575 3.91342844] -5.115791343598098 ;\n", + "Epoch 600/1000, Cost: 3.5000\n", + " and the parameters are [-2.8845137 3.91334231] -5.115878072165125 ;\n", + "Epoch 600/1000, Cost: 3.9503\n", + " and the parameters are [-2.88451893 3.91325353] -5.1159535520392545 ;\n", + "Epoch 600/1000, Cost: 3.0654\n", + " and the parameters are [-2.88449325 3.91323039] -5.116022929395204 ;\n", + "Epoch 600/1000, Cost: 2.7901\n", + " and the parameters are [-2.88455021 3.91317554] -5.1160722841273225 ;\n", + "Epoch 600/1000, Cost: 3.8027\n", + " and the parameters are [-2.88447892 3.91334001] -5.116020240469893 ;\n", + "Epoch 600/1000, Cost: 4.5674\n", + " and the parameters are [-2.8845817 3.91324998] -5.116056525241862 ;\n", + "Epoch 600/1000, Cost: 1.1335\n", + " and the parameters are [-2.88456419 3.91325666] -5.116081236302794 ;\n", + "Epoch 600/1000, Cost: 5.8871\n", + " and the parameters are [-2.88448224 3.91339928] -5.116040675077369 ;\n", + "Epoch 600/1000, Cost: 1.9945\n", + " and the parameters are [-2.88446782 3.91339422] -5.116076102175637 ;\n", + "Epoch 600/1000, Cost: 6.1484\n", + " and the parameters are [-2.88461813 3.91337265] -5.116021077774125 ;\n", + "Epoch 600/1000, Cost: 6.5158\n", + " and the parameters are [-2.88465327 3.91317897] -5.116149157991207 ;\n", + "Epoch 600/1000, Cost: 2.3370\n", + " and the parameters are [-2.88468404 3.91318102] -5.116161298212 ;\n", + "Epoch 600/1000, Cost: 4.1825\n", + " and the parameters are [-2.88457416 3.91328156] -5.116160159238314 ;\n", + "Epoch 600/1000, Cost: 1.3837\n", + " and the parameters are [-2.88456566 3.91332412] -5.116152466608663 ;\n", + "Epoch 600/1000, Cost: 4.5660\n", + " and the parameters are [-2.88461846 3.91331737] -5.1161466972541865 ;\n", + "Epoch 600/1000, Cost: 1.8320\n", + " and the parameters are [-2.88463593 3.91332844] -5.116156640254435 ;\n", + "Epoch 600/1000, Cost: 0.8965\n", + " and the parameters are [-2.88464757 3.91331837] -5.116183615270013 ;\n", + "Epoch 600/1000, Cost: 3.1623\n", + " and the parameters are [-2.88469058 3.91328424] -5.116217376555465 ;\n", + "Epoch 600/1000, Cost: 7.2625\n", + " and the parameters are [-2.88461515 3.91342593] -5.116125829195 ;\n", + "Epoch 600/1000, Cost: 2.8714\n", + " and the parameters are [-2.88468094 3.91331183] -5.116198339758239 ;\n", + "Epoch 600/1000, Cost: 2.7522\n", + " and the parameters are [-2.88469785 3.91337885] -5.116178324438572 ;\n", + "Epoch 600/1000, Cost: 3.8097\n", + " and the parameters are [-2.88469831 3.9133784 ] -5.11621583393221 ;\n", + "Epoch 600/1000, Cost: 1.6099\n", + " and the parameters are [-2.88471283 3.9134361 ] -5.116197301836454 ;\n", + "Epoch 600/1000, Cost: 3.5411\n", + " and the parameters are [-2.88472647 3.91347224] -5.116186380725441 ;\n", + "Epoch 600/1000, Cost: 2.1474\n", + " and the parameters are [-2.88471862 3.9134635 ] -5.116224514728044 ;\n", + "Epoch 600/1000, Cost: 4.1696\n", + " and the parameters are [-2.88466781 3.91355996] -5.116178133557512 ;\n", + "Epoch 600/1000, Cost: 5.2906\n", + " and the parameters are [-2.88459916 3.913581 ] -5.116209911090485 ;\n", + "Epoch 600/1000, Cost: 10.3700\n", + " and the parameters are [-2.88461023 3.91351912] -5.1162056551553095 ;\n", + "Epoch 600/1000, Cost: 2.4907\n", + " and the parameters are [-2.88458434 3.91356778] -5.116219605645456 ;\n", + "Epoch 600/1000, Cost: 5.3891\n", + " and the parameters are [-2.88458953 3.91348185] -5.116287650707292 ;\n", + "Epoch 600/1000, Cost: 1.7031\n", + " and the parameters are [-2.88459961 3.91351232] -5.1162890384741075 ;\n", + "Epoch 600/1000, Cost: 4.5593\n", + " and the parameters are [-2.88455147 3.91349025] -5.116346614464845 ;\n", + "Epoch 600/1000, Cost: 9.3804\n", + " and the parameters are [-2.88464073 3.91342037] -5.116325055973959 ;\n", + "Epoch 600/1000, Cost: 5.2553\n", + " and the parameters are [-2.88467294 3.91343308] -5.116322122619637 ;\n", + "Epoch 600/1000, Cost: 8.0402\n", + " and the parameters are [-2.88471028 3.91317895] -5.1164988627890535 ;\n", + "Epoch 600/1000, Cost: 0.7271\n", + " and the parameters are [-2.8847111 3.91320659] -5.11649700630066 ;\n", + "Epoch 600/1000, Cost: 2.5537\n", + " and the parameters are [-2.8846648 3.91325447] -5.11650613510577 ;\n", + "Epoch 600/1000, Cost: 3.9299\n", + " and the parameters are [-2.88470133 3.91328186] -5.116484752433908 ;\n", + "Epoch 600/1000, Cost: 8.7093\n", + " and the parameters are [-2.88477249 3.91324123] -5.11646472469363 ;\n", + "Epoch 600/1000, Cost: 0.7677\n", + " and the parameters are [-2.88476781 3.91329161] -5.116448375622643 ;\n", + "Epoch 600/1000, Cost: 3.5788\n", + " and the parameters are [-2.88476119 3.91340412] -5.116383868689672 ;\n", + "Epoch 600/1000, Cost: 4.3306\n", + " and the parameters are [-2.8847789 3.91347382] -5.116347452487363 ;\n", + "Epoch 600/1000, Cost: 1.9897\n", + " and the parameters are [-2.88477285 3.91354861] -5.116330163478606 ;\n", + "Epoch 600/1000, Cost: 1.8142\n", + " and the parameters are [-2.8848052 3.91358232] -5.1163220175320445 ;\n", + "Epoch 600/1000, Cost: 0.9882\n", + " and the parameters are [-2.88479551 3.91362187] -5.1163194235888785 ;\n", + "Epoch 600/1000, Cost: 2.3242\n", + " and the parameters are [-2.8848461 3.91366612] -5.116280879573193 ;\n", + "Epoch 600/1000, Cost: 7.7770\n", + " and the parameters are [-2.88477846 3.91366 ] -5.116303249382431 ;\n", + "Epoch 600/1000, Cost: 3.1020\n", + " and the parameters are [-2.88485501 3.91356862] -5.116360327614748 ;\n", + "Epoch 600/1000, Cost: 2.3502\n", + " and the parameters are [-2.88487145 3.91363729] -5.116322043643071 ;\n", + "Epoch 600/1000, Cost: 2.4178\n", + " and the parameters are [-2.88486087 3.91374724] -5.1162773683672995 ;\n", + "Epoch 600/1000, Cost: 1.0546\n", + " and the parameters are [-2.88485073 3.91379621] -5.1162700802101115 ;\n", + "Epoch 600/1000, Cost: 3.7406\n", + " and the parameters are [-2.88490423 3.91365628] -5.1163429943496 ;\n", + "Epoch 600/1000, Cost: 1.4743\n", + " and the parameters are [-2.88489131 3.913706 ] -5.116342454948818 ;\n", + "Epoch 600/1000, Cost: 1.9496\n", + " and the parameters are [-2.88490448 3.91377228] -5.1163159453757165 ;\n", + "Epoch 600/1000, Cost: 2.5655\n", + " and the parameters are [-2.88485692 3.91381026] -5.11634932565244 ;\n", + "Epoch 600/1000, Cost: 1.4035\n", + " and the parameters are [-2.88483546 3.91385201] -5.1163606372626065 ;\n", + "Epoch 600/1000, Cost: 3.6972\n", + " and the parameters are [-2.88489528 3.91377494] -5.1163963097470475 ;\n", + "Epoch 600/1000, Cost: 3.0182\n", + " and the parameters are [-2.88489488 3.91383275] -5.116375708216425 ;\n", + "Epoch 600/1000, Cost: 1.9072\n", + " and the parameters are [-2.88491163 3.91383054] -5.116393788655332 ;\n", + "Epoch 600/1000, Cost: 1.2521\n", + " and the parameters are [-2.88491155 3.91389432] -5.116368131029645 ;\n", + "Epoch 600/1000, Cost: 1.5552\n", + " and the parameters are [-2.88497507 3.9139364 ] -5.11632483569804 ;\n", + "Epoch 600/1000, Cost: 1.0014\n", + " and the parameters are [-2.88498539 3.91394001] -5.116336828918118 ;\n", + "Epoch 600/1000, Cost: 5.3198\n", + " and the parameters are [-2.88501971 3.91406327] -5.116250115580344 ;\n", + "Epoch 600/1000, Cost: 3.4351\n", + " and the parameters are [-2.8850002 3.91412593] -5.11625170415722 ;\n", + "Epoch 600/1000, Cost: 3.0984\n", + " and the parameters are [-2.88499154 3.91421704] -5.1162274588883045 ;\n", + "Epoch 600/1000, Cost: 8.3190\n", + " and the parameters are [-2.8849942 3.91418554] -5.1162333662391495 ;\n", + "Epoch 600/1000, Cost: 1.3998\n", + " and the parameters are [-2.88502807 3.91418475] -5.116237558764971 ;\n", + "Epoch 600/1000, Cost: 3.9920\n", + " and the parameters are [-2.88509147 3.91414724] -5.11625122174941 ;\n", + "Epoch 600/1000, Cost: 1.7297\n", + " and the parameters are [-2.88510699 3.91412245] -5.116291646895309 ;\n", + "Epoch 600/1000, Cost: 3.1914\n", + " and the parameters are [-2.88513659 3.91408287] -5.116337581798976 ;\n", + "Epoch 600/1000, Cost: 1.8287\n", + " and the parameters are [-2.88515349 3.91407199] -5.116372982367138 ;\n", + "Epoch 600/1000, Cost: 0.8655\n", + " and the parameters are [-2.8851494 3.91406703] -5.116401428969233 ;\n", + "Epoch 600/1000, Cost: 2.0031\n", + " and the parameters are [-2.88515366 3.91406675] -5.116434188085692 ;\n", + "Epoch 600/1000, Cost: 3.0009\n", + " and the parameters are [-2.88519407 3.914019 ] -5.116470860806063 ;\n", + "Epoch 600/1000, Cost: 1.2081\n", + " and the parameters are [-2.88519744 3.91409737] -5.11643362238646 ;\n", + "Epoch 600/1000, Cost: 2.1369\n", + " and the parameters are [-2.8852349 3.91409081] -5.116452895091626 ;\n", + "Epoch 600/1000, Cost: 2.8642\n", + " and the parameters are [-2.88517759 3.91413441] -5.116475146594806 ;\n", + "Epoch 600/1000, Cost: 2.1100\n", + " and the parameters are [-2.88518044 3.91412408] -5.116513113578649 ;\n", + "Epoch 600/1000, Cost: 4.5380\n", + " and the parameters are [-2.88512769 3.91431766] -5.116395367326389 ;\n", + "Epoch 600/1000, Cost: 3.2673\n", + " and the parameters are [-2.88512315 3.91432926] -5.116418337215506 ;\n", + "Epoch 600/1000, Cost: 4.5269\n", + " and the parameters are [-2.8852159 3.9142326] -5.1164656020346095 ;\n", + "Epoch 600/1000, Cost: 2.6161\n", + " and the parameters are [-2.88522874 3.91423335] -5.116476056430568 ;\n", + "Epoch 600/1000, Cost: 3.0973\n", + " and the parameters are [-2.88525128 3.91431238] -5.116411527430406 ;\n", + "Epoch 600/1000, Cost: 4.1349\n", + " and the parameters are [-2.88515449 3.91450019] -5.116372143349588 ;\n", + "Epoch 600/1000, Cost: 2.7528\n", + " and the parameters are [-2.88520076 3.91442853] -5.116426535023804 ;\n", + "Epoch 600/1000, Cost: 6.3454\n", + " and the parameters are [-2.88518279 3.91449035] -5.116385713196789 ;\n", + "Epoch 600/1000, Cost: 3.7335\n", + " and the parameters are [-2.88517771 3.91449221] -5.116412991944691 ;\n", + "Epoch 600/1000, Cost: 1.6442\n", + " and the parameters are [-2.88515223 3.91449414] -5.1164557221314375 ;\n", + "Epoch 600/1000, Cost: 4.2950\n", + " and the parameters are [-2.88518134 3.91438306] -5.116541178018525 ;\n", + "Epoch 600/1000, Cost: 2.9549\n", + " and the parameters are [-2.88513948 3.91452972] -5.1164810043379445 ;\n", + "Epoch 600/1000, Cost: 4.5601\n", + " and the parameters are [-2.88519947 3.91441086] -5.116536444629825 ;\n", + "Epoch 600/1000, Cost: 0.8070\n", + " and the parameters are [-2.88522431 3.91440119] -5.11655228271535 ;\n", + "Epoch 600/1000, Cost: 4.0646\n", + " and the parameters are [-2.88518652 3.91433158] -5.1166454896173255 ;\n", + "Epoch 600/1000, Cost: 5.8247\n", + " and the parameters are [-2.88517684 3.91431651] -5.1166793878455294 ;\n", + "Epoch 600/1000, Cost: 2.1791\n", + " and the parameters are [-2.88516787 3.9143425 ] -5.116698162045069 ;\n", + "Epoch 600/1000, Cost: 2.5625\n", + " and the parameters are [-2.88517092 3.91436064] -5.116700808787204 ;\n", + "Epoch 600/1000, Cost: 4.9490\n", + " and the parameters are [-2.88512736 3.91452955] -5.116598403822654 ;\n", + "Epoch 600/1000, Cost: 4.1484\n", + " and the parameters are [-2.88516108 3.91450748] -5.116621141011575 ;\n", + "Epoch 600/1000, Cost: 2.7714\n", + " and the parameters are [-2.88515138 3.91460311] -5.116565591654218 ;\n", + "Epoch 600/1000, Cost: 3.7086\n", + " and the parameters are [-2.88516364 3.91468757] -5.116505758685327 ;\n", + "Epoch 600/1000, Cost: 2.1305\n", + " and the parameters are [-2.88519808 3.9147023 ] -5.116506993813233 ;\n", + "Epoch 600/1000, Cost: 7.7253\n", + " and the parameters are [-2.88517211 3.91466307] -5.116558056078371 ;\n", + "Epoch 600/1000, Cost: 2.4939\n", + " and the parameters are [-2.88515897 3.91475711] -5.116529641931079 ;\n", + "Epoch 600/1000, Cost: 2.4742\n", + " and the parameters are [-2.88515186 3.91470296] -5.116612782589506 ;\n", + "Epoch 600/1000, Cost: 3.8393\n", + " and the parameters are [-2.88513328 3.91466423] -5.116681178816659 ;\n", + "Epoch 600/1000, Cost: 1.9359\n", + " and the parameters are [-2.88508318 3.91466459] -5.116738542515515 ;\n", + "Epoch 600/1000, Cost: 4.7481\n", + " and the parameters are [-2.88511525 3.9145301 ] -5.11683020333015 ;\n", + "Epoch 600/1000, Cost: 1.7024\n", + " and the parameters are [-2.88513682 3.91446864] -5.116887920664835 ;\n", + "Epoch 600/1000, Cost: 4.4460\n", + " and the parameters are [-2.88504838 3.91466665] -5.116812017304553 ;\n", + "Epoch 600/1000, Cost: 3.4827\n", + " and the parameters are [-2.88503257 3.91463054] -5.116869821883966 ;\n", + "Epoch 600/1000, Cost: 1.6173\n", + " and the parameters are [-2.88501656 3.91469667] -5.116863050880314 ;\n", + "Epoch 600/1000, Cost: 1.8263\n", + " and the parameters are [-2.88503863 3.91468142] -5.116890352440481 ;\n", + "Epoch 600/1000, Cost: 4.6243\n", + " and the parameters are [-2.88509067 3.91462107] -5.11691828340597 ;\n", + "Epoch 600/1000, Cost: 2.6027\n", + " and the parameters are [-2.8851521 3.91466342] -5.116883712727678 ;\n", + "Epoch 600/1000, Cost: 3.9862\n", + " and the parameters are [-2.88515645 3.91483623] -5.1167650284887065 ;\n", + "Epoch 600/1000, Cost: 3.7160\n", + " and the parameters are [-2.88517115 3.91493018] -5.116722513061988 ;\n", + "Epoch 600/1000, Cost: 2.5869\n", + " and the parameters are [-2.88520055 3.91490419] -5.116764633448906 ;\n", + "Epoch 600/1000, Cost: 3.2828\n", + " and the parameters are [-2.88516483 3.91493797] -5.116778596655114 ;\n", + "Epoch 600/1000, Cost: 3.4503\n", + " and the parameters are [-2.88513186 3.91498527] -5.116792842962562 ;\n", + "Epoch 600/1000, Cost: 2.4797\n", + " and the parameters are [-2.88516717 3.91498553] -5.116805648502546 ;\n", + "Epoch 600/1000, Cost: 4.6489\n", + " and the parameters are [-2.88522208 3.91506236] -5.11673529370329 ;\n", + "Epoch 600/1000, Cost: 3.2754\n", + " and the parameters are [-2.88528981 3.91508594] -5.116700407094428 ;\n", + "Epoch 600/1000, Cost: 2.1222\n", + " and the parameters are [-2.88533461 3.91502695] -5.116760310786313 ;\n", + "Epoch 600/1000, Cost: 1.8250\n", + " and the parameters are [-2.88532642 3.91505169] -5.116775866627383 ;\n", + "Epoch 600/1000, Cost: 4.9472\n", + " and the parameters are [-2.88545687 3.91486214] -5.116854611517578 ;\n", + "Epoch 600/1000, Cost: 2.6324\n", + " and the parameters are [-2.88546758 3.9149265 ] -5.116836610776239 ;\n", + "Epoch 600/1000, Cost: 4.4689\n", + " and the parameters are [-2.88544788 3.91485863] -5.116917809871565 ;\n", + "Epoch 600/1000, Cost: 3.0861\n", + " and the parameters are [-2.88544574 3.91484604] -5.116952654354249 ;\n", + "Epoch 600/1000, Cost: 4.4376\n", + " and the parameters are [-2.88535661 3.91490007] -5.116963405195051 ;\n", + "Epoch 600/1000, Cost: 2.9633\n", + " and the parameters are [-2.88525654 3.91511226] -5.116872690235108 ;\n", + "Epoch 600/1000, Cost: 0.8847\n", + " and the parameters are [-2.88526446 3.9151595 ] -5.116856251058921 ;\n", + "Epoch 600/1000, Cost: 0.8756\n", + " and the parameters are [-2.88527692 3.91515494] -5.116874550023169 ;\n", + "Epoch 600/1000, Cost: 3.1447\n", + " and the parameters are [-2.88525486 3.91508418] -5.11695014182068 ;\n", + "Epoch 600/1000, Cost: 0.9587\n", + " and the parameters are [-2.88526398 3.91506444] -5.116982730790694 ;\n", + "Epoch 600/1000, Cost: 2.4533\n", + " and the parameters are [-2.88532736 3.91496947] -5.117051657217597 ;\n", + "Epoch 600/1000, Cost: 3.8900\n", + " and the parameters are [-2.88536004 3.91510594] -5.116960384104469 ;\n", + "Epoch 600/1000, Cost: 3.7185\n", + " and the parameters are [-2.88538095 3.91513115] -5.116966583112231 ;\n", + "Epoch 600/1000, Cost: 1.5676\n", + " and the parameters are [-2.88538636 3.91516253] -5.116967990375636 ;\n", + "Epoch 600/1000, Cost: 2.2144\n", + " and the parameters are [-2.88536189 3.91520512] -5.116975149522357 ;\n", + "Epoch 600/1000, Cost: 1.5330\n", + " and the parameters are [-2.88535637 3.9152822 ] -5.116953081578662 ;\n", + "Epoch 600/1000, Cost: 4.7792\n", + " and the parameters are [-2.88530899 3.91516426] -5.117070678765903 ;\n", + "Epoch 600/1000, Cost: 1.8762\n", + " and the parameters are [-2.88533145 3.91514285] -5.117100928401818 ;\n", + "Epoch 600/1000, Cost: 4.1105\n", + " and the parameters are [-2.88533367 3.91520165] -5.117065400510602 ;\n", + "Epoch 600/1000, Cost: 3.4534\n", + " and the parameters are [-2.88541055 3.91506246] -5.1171407915966975 ;\n", + "Epoch 600/1000, Cost: 3.1698\n", + " and the parameters are [-2.88538676 3.91508461] -5.11715324450173 ;\n", + "Epoch 600/1000, Cost: 2.7629\n", + " and the parameters are [-2.88545505 3.91504901] -5.117152444390178 ;\n", + "Epoch 600/1000, Cost: 3.9764\n", + " and the parameters are [-2.88553905 3.91493573] -5.117214969821829 ;\n", + "Epoch 600/1000, Cost: 1.9160\n", + " and the parameters are [-2.8855409 3.91497196] -5.117217774679718 ;\n", + "Epoch 600/1000, Cost: 4.1332\n", + " and the parameters are [-2.88559473 3.91509578] -5.1171281246581035 ;\n", + "Epoch 600/1000, Cost: 3.0004\n", + " and the parameters are [-2.88564435 3.91514056] -5.117083350304683 ;\n", + "Epoch 600/1000, Cost: 4.0999\n", + " and the parameters are [-2.88563272 3.91518519] -5.117078609279639 ;\n", + "Epoch 600/1000, Cost: 3.8335\n", + " and the parameters are [-2.88564413 3.9151436 ] -5.117136743251006 ;\n", + "Epoch 600/1000, Cost: 2.2598\n", + " and the parameters are [-2.8856033 3.91515565] -5.117178321983917 ;\n", + "Epoch 600/1000, Cost: 4.5978\n", + " and the parameters are [-2.88566001 3.91509143] -5.11720246677413 ;\n", + "Epoch 600/1000, Cost: 1.8127\n", + " and the parameters are [-2.88563996 3.91511508] -5.117223754545514 ;\n", + "Epoch 600/1000, Cost: 2.1059\n", + " and the parameters are [-2.88565886 3.9151368 ] -5.117229384149986 ;\n", + "Epoch 600/1000, Cost: 1.7155\n", + " and the parameters are [-2.88564483 3.91513735] -5.117258812825485 ;\n", + "Epoch 600/1000, Cost: 2.9083\n", + " and the parameters are [-2.88568189 3.91510475] -5.11729873140224 ;\n", + "Epoch 600/1000, Cost: 3.9672\n", + " and the parameters are [-2.88576123 3.91493604] -5.117404072324388 ;\n", + "Epoch 600/1000, Cost: 3.9098\n", + " and the parameters are [-2.88571854 3.91486112] -5.117512901808207 ;\n", + "Epoch 600/1000, Cost: 3.8056\n", + " and the parameters are [-2.88576598 3.91481653] -5.117538789209982 ;\n", + "Epoch 600/1000, Cost: 5.3257\n", + " and the parameters are [-2.88569097 3.91475495] -5.117614520301297 ;\n", + "Epoch 600/1000, Cost: 4.0879\n", + " and the parameters are [-2.88577531 3.91463333] -5.117684980147985 ;\n", + "Epoch 600/1000, Cost: 1.2166\n", + " and the parameters are [-2.88579522 3.91466289] -5.117676750732804 ;\n", + "Epoch 600/1000, Cost: 2.6980\n", + " and the parameters are [-2.88578092 3.91467503] -5.117713013769207 ;\n", + "Epoch 600/1000, Cost: 1.0520\n", + " and the parameters are [-2.88579939 3.91468532] -5.117721527006665 ;\n", + "Epoch 600/1000, Cost: 1.5684\n", + " and the parameters are [-2.88582088 3.91469672] -5.117735341477039 ;\n", + "Epoch 600/1000, Cost: 1.1931\n", + " and the parameters are [-2.88579779 3.91474674] -5.117735375383211 ;\n", + "Epoch 600/1000, Cost: 3.1970\n", + " and the parameters are [-2.88575771 3.91480522] -5.117741408973749 ;\n", + "Epoch 600/1000, Cost: 5.1777\n", + " and the parameters are [-2.88575698 3.91492659] -5.117652553327711 ;\n", + "Epoch 600/1000, Cost: 3.0600\n", + " and the parameters are [-2.88567732 3.91500105] -5.117664917560119 ;\n", + "Epoch 600/1000, Cost: 2.7676\n", + " and the parameters are [-2.88570272 3.91495865] -5.117716795268289 ;\n", + "Epoch 600/1000, Cost: 3.1119\n", + " and the parameters are [-2.88571482 3.91499006] -5.117708878806369 ;\n", + "Epoch 600/1000, Cost: 0.7518\n", + " and the parameters are [-2.88570922 3.91502022] -5.117708462290111 ;\n", + "Epoch 600/1000, Cost: 3.0004\n", + " and the parameters are [-2.88577224 3.91503941] -5.117691137610087 ;\n", + "Epoch 600/1000, Cost: 1.6599\n", + " and the parameters are [-2.88581036 3.91497201] -5.117741052489352 ;\n", + "Epoch 600/1000, Cost: 1.8317\n", + " and the parameters are [-2.88585097 3.91497146] -5.117734315757055 ;\n", + "Epoch 600/1000, Cost: 3.6564\n", + " and the parameters are [-2.88585199 3.9149259 ] -5.117788146065421 ;\n", + "Epoch 600/1000, Cost: 2.9087\n", + " and the parameters are [-2.88590185 3.91494251] -5.117777058341208 ;\n", + "Epoch 600/1000, Cost: 2.0228\n", + " and the parameters are [-2.88596409 3.91488827] -5.11780928718426 ;\n", + "Epoch 600/1000, Cost: 2.2522\n", + " and the parameters are [-2.88589183 3.91500197] -5.117789256200812 ;\n", + "Epoch 600/1000, Cost: 7.2649\n", + " and the parameters are [-2.88598537 3.91486593] -5.1178237831901585 ;\n", + "Epoch 600/1000, Cost: 5.5379\n", + " and the parameters are [-2.88606044 3.91471203] -5.117910981371826 ;\n", + "Epoch 600/1000, Cost: 0.6985\n", + " and the parameters are [-2.88604286 3.91474377] -5.117917417688856 ;\n", + "Epoch 610/1000, Cost: 2.2311\n", + " and the parameters are [-2.89795349 3.92955728] -5.139091866555305 ;\n", + "Epoch 610/1000, Cost: 2.0421\n", + " and the parameters are [-2.89794523 3.92963754] -5.139056568555981 ;\n", + "Epoch 610/1000, Cost: 5.5990\n", + " and the parameters are [-2.89798024 3.92965045] -5.139024790494322 ;\n", + "Epoch 610/1000, Cost: 1.9446\n", + " and the parameters are [-2.89798486 3.9296897 ] -5.139025406339621 ;\n", + "Epoch 610/1000, Cost: 7.0025\n", + " and the parameters are [-2.89794355 3.92980034] -5.138947213146349 ;\n", + "Epoch 610/1000, Cost: 1.5437\n", + " and the parameters are [-2.89797157 3.92976848] -5.138968899645651 ;\n", + "Epoch 610/1000, Cost: 2.9976\n", + " and the parameters are [-2.89799114 3.92983198] -5.138948574740472 ;\n", + "Epoch 610/1000, Cost: 5.2743\n", + " and the parameters are [-2.89795013 3.92990276] -5.138912929977865 ;\n", + "Epoch 610/1000, Cost: 6.4861\n", + " and the parameters are [-2.89800971 3.92984268] -5.138928874712752 ;\n", + "Epoch 610/1000, Cost: 2.5592\n", + " and the parameters are [-2.89807263 3.92974465] -5.13899574456175 ;\n", + "Epoch 610/1000, Cost: 2.1726\n", + " and the parameters are [-2.89799645 3.92982312] -5.139003936636141 ;\n", + "Epoch 610/1000, Cost: 4.5868\n", + " and the parameters are [-2.89798488 3.92981103] -5.139036453114771 ;\n", + "Epoch 610/1000, Cost: 4.3549\n", + " and the parameters are [-2.89794843 3.9298746 ] -5.138995768133367 ;\n", + "Epoch 610/1000, Cost: 1.7670\n", + " and the parameters are [-2.8979205 3.92994222] -5.138991668194881 ;\n", + "Epoch 610/1000, Cost: 1.7251\n", + " and the parameters are [-2.8979413 3.92992715] -5.139009873200099 ;\n", + "Epoch 610/1000, Cost: 8.2669\n", + " and the parameters are [-2.89805978 3.92976106] -5.13904331955989 ;\n", + "Epoch 610/1000, Cost: 1.3773\n", + " and the parameters are [-2.89800898 3.92981004] -5.139049992380386 ;\n", + "Epoch 610/1000, Cost: 0.9800\n", + " and the parameters are [-2.89801485 3.92982001] -5.139063818651988 ;\n", + "Epoch 610/1000, Cost: 1.4016\n", + " and the parameters are [-2.89800977 3.92980979] -5.139103079714368 ;\n", + "Epoch 610/1000, Cost: 3.3703\n", + " and the parameters are [-2.89793452 3.92983703] -5.1391548284184685 ;\n", + "Epoch 610/1000, Cost: 0.9098\n", + " and the parameters are [-2.89789866 3.92992484] -5.139127626398454 ;\n", + "Epoch 610/1000, Cost: 1.4816\n", + " and the parameters are [-2.89793593 3.9299404 ] -5.139126280599209 ;\n", + "Epoch 610/1000, Cost: 4.6895\n", + " and the parameters are [-2.89800884 3.92986292] -5.139161932765756 ;\n", + "Epoch 610/1000, Cost: 5.4344\n", + " and the parameters are [-2.89799019 3.92978534] -5.139229897996817 ;\n", + "Epoch 610/1000, Cost: 0.8050\n", + " and the parameters are [-2.8979666 3.92983724] -5.13922130007971 ;\n", + "Epoch 610/1000, Cost: 3.1422\n", + " and the parameters are [-2.89799371 3.92988809] -5.139191616410267 ;\n", + "Epoch 610/1000, Cost: 1.4704\n", + " and the parameters are [-2.89801899 3.92991359] -5.1391889671891695 ;\n", + "Epoch 610/1000, Cost: 3.1240\n", + " and the parameters are [-2.8980123 3.92993758] -5.139195248504221 ;\n", + "Epoch 610/1000, Cost: 2.8618\n", + " and the parameters are [-2.89798366 3.93003054] -5.1391774837543 ;\n", + "Epoch 610/1000, Cost: 3.9088\n", + " and the parameters are [-2.89804252 3.92995914] -5.139199777815551 ;\n", + "Epoch 610/1000, Cost: 1.9162\n", + " and the parameters are [-2.89801824 3.9300299 ] -5.139194754443761 ;\n", + "Epoch 610/1000, Cost: 5.5409\n", + " and the parameters are [-2.89798328 3.93008609] -5.139174524779222 ;\n", + "Epoch 610/1000, Cost: 2.3341\n", + " and the parameters are [-2.89800725 3.93010239] -5.139176948880914 ;\n", + "Epoch 610/1000, Cost: 1.4738\n", + " and the parameters are [-2.89805929 3.93012244] -5.139154435494267 ;\n", + "Epoch 610/1000, Cost: 1.6730\n", + " and the parameters are [-2.8980752 3.9301273] -5.139169394500545 ;\n", + "Epoch 610/1000, Cost: 1.0098\n", + " and the parameters are [-2.89809434 3.93013885] -5.139175835567319 ;\n", + "Epoch 610/1000, Cost: 1.1307\n", + " and the parameters are [-2.8981286 3.93010083] -5.1392099720337585 ;\n", + "Epoch 610/1000, Cost: 3.9694\n", + " and the parameters are [-2.89806961 3.93017225] -5.139211569284291 ;\n", + "Epoch 610/1000, Cost: 3.8464\n", + " and the parameters are [-2.89814668 3.9300691 ] -5.1392691846151735 ;\n", + "Epoch 610/1000, Cost: 3.1920\n", + " and the parameters are [-2.89815523 3.93010701] -5.139245951881099 ;\n", + "Epoch 610/1000, Cost: 3.7195\n", + " and the parameters are [-2.89814535 3.93020945] -5.139207118162247 ;\n", + "Epoch 610/1000, Cost: 1.8356\n", + " and the parameters are [-2.89816117 3.93022716] -5.139221590671592 ;\n", + "Epoch 610/1000, Cost: 6.0319\n", + " and the parameters are [-2.89811138 3.9302247 ] -5.139270498023671 ;\n", + "Epoch 610/1000, Cost: 4.8726\n", + " and the parameters are [-2.89812637 3.93012383] -5.139349208761595 ;\n", + "Epoch 610/1000, Cost: 3.6293\n", + " and the parameters are [-2.89817993 3.93005908] -5.139395775020054 ;\n", + "Epoch 610/1000, Cost: 2.7596\n", + " and the parameters are [-2.8981641 3.93016888] -5.139354187032168 ;\n", + "Epoch 610/1000, Cost: 2.8458\n", + " and the parameters are [-2.89828017 3.93004374] -5.139406708878488 ;\n", + "Epoch 610/1000, Cost: 1.5179\n", + " and the parameters are [-2.89829069 3.93006132] -5.139416650818918 ;\n", + "Epoch 610/1000, Cost: 1.7300\n", + " and the parameters are [-2.8983298 3.9300714] -5.139414920018675 ;\n", + "Epoch 610/1000, Cost: 6.4829\n", + " and the parameters are [-2.89838987 3.93001398] -5.139425352793022 ;\n", + "Epoch 610/1000, Cost: 3.1984\n", + " and the parameters are [-2.8984358 3.92994178] -5.139481290453603 ;\n", + "Epoch 610/1000, Cost: 3.1718\n", + " and the parameters are [-2.89836145 3.92999835] -5.139507125321813 ;\n", + "Epoch 610/1000, Cost: 3.6379\n", + " and the parameters are [-2.89833526 3.92994669] -5.1395826257163835 ;\n", + "Epoch 610/1000, Cost: 2.4219\n", + " and the parameters are [-2.89831407 3.93003773] -5.139539501975388 ;\n", + "Epoch 610/1000, Cost: 2.3480\n", + " and the parameters are [-2.89830484 3.93009225] -5.139536061046574 ;\n", + "Epoch 610/1000, Cost: 3.5518\n", + " and the parameters are [-2.8983742 3.93016324] -5.139452059612144 ;\n", + "Epoch 610/1000, Cost: 4.3010\n", + " and the parameters are [-2.89844376 3.9300566 ] -5.139527973708322 ;\n", + "Epoch 610/1000, Cost: 5.7648\n", + " and the parameters are [-2.89845207 3.92998888] -5.139566677376133 ;\n", + "Epoch 610/1000, Cost: 1.0866\n", + " and the parameters are [-2.89847416 3.92999837] -5.139573126109445 ;\n", + "Epoch 610/1000, Cost: 1.7039\n", + " and the parameters are [-2.8984873 3.93002683] -5.139569236245712 ;\n", + "Epoch 610/1000, Cost: 6.7353\n", + " and the parameters are [-2.89843356 3.93016785] -5.139492166280315 ;\n", + "Epoch 610/1000, Cost: 1.6097\n", + " and the parameters are [-2.89842429 3.9302284 ] -5.139475328215875 ;\n", + "Epoch 610/1000, Cost: 3.1748\n", + " and the parameters are [-2.8983868 3.93032486] -5.139451795693884 ;\n", + "Epoch 610/1000, Cost: 3.6101\n", + " and the parameters are [-2.89838643 3.93030466] -5.139505653523467 ;\n", + "Epoch 610/1000, Cost: 6.3674\n", + " and the parameters are [-2.89834644 3.93031774] -5.139531903854567 ;\n", + "Epoch 610/1000, Cost: 2.2831\n", + " and the parameters are [-2.89833617 3.93035537] -5.139539839497431 ;\n", + "Epoch 610/1000, Cost: 1.0531\n", + " and the parameters are [-2.89835763 3.93038106] -5.139534681473876 ;\n", + "Epoch 610/1000, Cost: 1.2320\n", + " and the parameters are [-2.89833936 3.93040241] -5.139559007063844 ;\n", + "Epoch 610/1000, Cost: 2.1067\n", + " and the parameters are [-2.89838131 3.93041676] -5.139554602894643 ;\n", + "Epoch 610/1000, Cost: 4.3573\n", + " and the parameters are [-2.89841389 3.93037016] -5.139599147105556 ;\n", + "Epoch 610/1000, Cost: 1.9397\n", + " and the parameters are [-2.89845661 3.93032613] -5.139641249352297 ;\n", + "Epoch 610/1000, Cost: 3.2710\n", + " and the parameters are [-2.89840051 3.93037709] -5.139662529757691 ;\n", + "Epoch 610/1000, Cost: 4.3471\n", + " and the parameters are [-2.89847459 3.93031644] -5.139695852825713 ;\n", + "Epoch 610/1000, Cost: 2.6502\n", + " and the parameters are [-2.89849104 3.93036936] -5.139679165175085 ;\n", + "Epoch 610/1000, Cost: 3.3125\n", + " and the parameters are [-2.89859274 3.93028259] -5.139699442996803 ;\n", + "Epoch 610/1000, Cost: 2.4313\n", + " and the parameters are [-2.89856836 3.93030115] -5.139722695778861 ;\n", + "Epoch 610/1000, Cost: 2.6316\n", + " and the parameters are [-2.89854287 3.93035957] -5.13970583047498 ;\n", + "Epoch 610/1000, Cost: 4.5833\n", + " and the parameters are [-2.89853211 3.9302285 ] -5.139830287128974 ;\n", + "Epoch 610/1000, Cost: 3.4392\n", + " and the parameters are [-2.89853231 3.93020042] -5.139880353811837 ;\n", + "Epoch 610/1000, Cost: 1.7916\n", + " and the parameters are [-2.89850348 3.93023212] -5.1398922220760905 ;\n", + "Epoch 610/1000, Cost: 2.2092\n", + " and the parameters are [-2.89849291 3.93036003] -5.139839725747202 ;\n", + "Epoch 610/1000, Cost: 1.5271\n", + " and the parameters are [-2.89851822 3.93040396] -5.139824077901853 ;\n", + "Epoch 610/1000, Cost: 5.1079\n", + " and the parameters are [-2.89854954 3.93038579] -5.139828403351223 ;\n", + "Epoch 610/1000, Cost: 1.7257\n", + " and the parameters are [-2.89857662 3.93042797] -5.139809730206929 ;\n", + "Epoch 610/1000, Cost: 4.2981\n", + " and the parameters are [-2.8985921 3.93031742] -5.139887453245563 ;\n", + "Epoch 610/1000, Cost: 1.4822\n", + " and the parameters are [-2.89861366 3.93033252] -5.1398935951938345 ;\n", + "Epoch 610/1000, Cost: 3.4144\n", + " and the parameters are [-2.89858355 3.93026864] -5.139963703222728 ;\n", + "Epoch 610/1000, Cost: 2.2558\n", + " and the parameters are [-2.8985257 3.93035509] -5.139967600494069 ;\n", + "Epoch 610/1000, Cost: 7.1320\n", + " and the parameters are [-2.89861776 3.93017636] -5.14003815406563 ;\n", + "Epoch 610/1000, Cost: 1.5437\n", + " and the parameters are [-2.8985915 3.93023288] -5.140033977283054 ;\n", + "Epoch 610/1000, Cost: 5.2852\n", + " and the parameters are [-2.89868792 3.93012675] -5.140100238369625 ;\n", + "Epoch 610/1000, Cost: 2.8784\n", + " and the parameters are [-2.89869177 3.93008224] -5.140156350414976 ;\n", + "Epoch 610/1000, Cost: 1.9448\n", + " and the parameters are [-2.89866296 3.93007245] -5.140197384001816 ;\n", + "Epoch 610/1000, Cost: 2.1207\n", + " and the parameters are [-2.89865844 3.93017932] -5.140154863934862 ;\n", + "Epoch 610/1000, Cost: 2.1094\n", + " and the parameters are [-2.8986345 3.93022138] -5.1401559656932 ;\n", + "Epoch 610/1000, Cost: 3.2870\n", + " and the parameters are [-2.89865255 3.9302291 ] -5.14017867157843 ;\n", + "Epoch 610/1000, Cost: 1.7132\n", + " and the parameters are [-2.89868391 3.93026712] -5.140167132348582 ;\n", + "Epoch 610/1000, Cost: 5.5494\n", + " and the parameters are [-2.89865439 3.93034759] -5.1401427123892764 ;\n", + "Epoch 610/1000, Cost: 3.8166\n", + " and the parameters are [-2.89864405 3.93046402] -5.1400744413995225 ;\n", + "Epoch 610/1000, Cost: 5.9382\n", + " and the parameters are [-2.89855535 3.93050725] -5.140083270697104 ;\n", + "Epoch 610/1000, Cost: 2.1029\n", + " and the parameters are [-2.89851077 3.93052024] -5.14012244815424 ;\n", + "Epoch 610/1000, Cost: 9.4986\n", + " and the parameters are [-2.89849197 3.93043316] -5.1401656924944685 ;\n", + "Epoch 610/1000, Cost: 2.5447\n", + " and the parameters are [-2.89851024 3.93041923] -5.140192447279739 ;\n", + "Epoch 610/1000, Cost: 2.5287\n", + " and the parameters are [-2.89848146 3.9305226 ] -5.14015716240885 ;\n", + "Epoch 610/1000, Cost: 1.1940\n", + " and the parameters are [-2.89846373 3.93055781] -5.140164765269414 ;\n", + "Epoch 610/1000, Cost: 3.2206\n", + " and the parameters are [-2.89848219 3.93049006] -5.140235655396851 ;\n", + "Epoch 610/1000, Cost: 2.5895\n", + " and the parameters are [-2.89841817 3.93058424] -5.140227171069996 ;\n", + "Epoch 610/1000, Cost: 4.5998\n", + " and the parameters are [-2.8984056 3.93061027] -5.140226795244224 ;\n", + "Epoch 610/1000, Cost: 2.0918\n", + " and the parameters are [-2.89843608 3.93060393] -5.140241237682561 ;\n", + "Epoch 610/1000, Cost: 1.6159\n", + " and the parameters are [-2.89840039 3.93067628] -5.140239965221688 ;\n", + "Epoch 610/1000, Cost: 4.9127\n", + " and the parameters are [-2.89842939 3.93053168] -5.140352818390186 ;\n", + "Epoch 610/1000, Cost: 3.1956\n", + " and the parameters are [-2.89839133 3.93053347] -5.140386097067465 ;\n", + "Epoch 610/1000, Cost: 1.9255\n", + " and the parameters are [-2.89834207 3.93058196] -5.140412013376204 ;\n", + "Epoch 610/1000, Cost: 2.9200\n", + " and the parameters are [-2.89838739 3.93057234] -5.140416273133053 ;\n", + "Epoch 610/1000, Cost: 5.3147\n", + " and the parameters are [-2.89841655 3.93051493] -5.140469702966898 ;\n", + "Epoch 610/1000, Cost: 3.2270\n", + " and the parameters are [-2.89848541 3.93048544] -5.1404710937909375 ;\n", + "Epoch 610/1000, Cost: 1.5694\n", + " and the parameters are [-2.89847354 3.9305167 ] -5.140489392498423 ;\n", + "Epoch 610/1000, Cost: 3.6769\n", + " and the parameters are [-2.89844663 3.93058441] -5.140477954424084 ;\n", + "Epoch 610/1000, Cost: 2.2667\n", + " and the parameters are [-2.89851656 3.93047075] -5.140544564116112 ;\n", + "Epoch 610/1000, Cost: 2.9820\n", + " and the parameters are [-2.89860148 3.93035541] -5.140605966211519 ;\n", + "Epoch 610/1000, Cost: 2.1533\n", + " and the parameters are [-2.89859451 3.93046091] -5.140557022653595 ;\n", + "Epoch 610/1000, Cost: 3.2019\n", + " and the parameters are [-2.89868154 3.93038578] -5.140587774699968 ;\n", + "Epoch 610/1000, Cost: 3.7619\n", + " and the parameters are [-2.8987086 3.93044061] -5.140537288527827 ;\n", + "Epoch 610/1000, Cost: 4.0514\n", + " and the parameters are [-2.89872462 3.9303576 ] -5.140628041618346 ;\n", + "Epoch 610/1000, Cost: 4.1442\n", + " and the parameters are [-2.89867977 3.93046959] -5.140594464869776 ;\n", + "Epoch 610/1000, Cost: 4.0610\n", + " and the parameters are [-2.89874055 3.9304203 ] -5.140617531179558 ;\n", + "Epoch 610/1000, Cost: 6.3904\n", + " and the parameters are [-2.89877836 3.93044555] -5.1405825963565555 ;\n", + "Epoch 610/1000, Cost: 1.1608\n", + " and the parameters are [-2.89876761 3.93048862] -5.140584050469384 ;\n", + "Epoch 610/1000, Cost: 3.3289\n", + " and the parameters are [-2.89875121 3.93053604] -5.140579250963119 ;\n", + "Epoch 610/1000, Cost: 3.6265\n", + " and the parameters are [-2.89876585 3.93070184] -5.140472008197993 ;\n", + "Epoch 610/1000, Cost: 2.0465\n", + " and the parameters are [-2.89878473 3.93070674] -5.1404953791214005 ;\n", + "Epoch 610/1000, Cost: 2.6856\n", + " and the parameters are [-2.89878256 3.93067518] -5.140552822323161 ;\n", + "Epoch 610/1000, Cost: 0.9782\n", + " and the parameters are [-2.89878742 3.93073356] -5.140528600977129 ;\n", + "Epoch 610/1000, Cost: 1.8198\n", + " and the parameters are [-2.89879881 3.93069347] -5.1405846920980505 ;\n", + "Epoch 610/1000, Cost: 2.4012\n", + " and the parameters are [-2.89882977 3.9306023 ] -5.140666733803024 ;\n", + "Epoch 610/1000, Cost: 2.2131\n", + " and the parameters are [-2.89883706 3.93064618] -5.140654092127328 ;\n", + "Epoch 610/1000, Cost: 1.4514\n", + " and the parameters are [-2.89882245 3.93065503] -5.140685681005989 ;\n", + "Epoch 610/1000, Cost: 1.2292\n", + " and the parameters are [-2.89884382 3.93070648] -5.140662271375619 ;\n", + "Epoch 610/1000, Cost: 3.4379\n", + " and the parameters are [-2.89883855 3.93081874] -5.140608842177909 ;\n", + "Epoch 610/1000, Cost: 5.0133\n", + " and the parameters are [-2.89887367 3.93085752] -5.140580733296419 ;\n", + "Epoch 610/1000, Cost: 2.9058\n", + " and the parameters are [-2.8988617 3.93089131] -5.140583622392322 ;\n", + "Epoch 610/1000, Cost: 2.5018\n", + " and the parameters are [-2.89885477 3.93087997] -5.140623678975991 ;\n", + "Epoch 610/1000, Cost: 2.2085\n", + " and the parameters are [-2.89887337 3.93095723] -5.140588073127071 ;\n", + "Epoch 610/1000, Cost: 2.8693\n", + " and the parameters are [-2.89888737 3.93095418] -5.1405990911750346 ;\n", + "Epoch 610/1000, Cost: 2.1704\n", + " and the parameters are [-2.89885287 3.93104041] -5.140571178440796 ;\n", + "Epoch 610/1000, Cost: 2.5418\n", + " and the parameters are [-2.89884056 3.93106442] -5.140587613301891 ;\n", + "Epoch 610/1000, Cost: 2.7295\n", + " and the parameters are [-2.8988461 3.93103249] -5.140634248129605 ;\n", + "Epoch 610/1000, Cost: 0.4705\n", + " and the parameters are [-2.89884393 3.93104034] -5.140646293265152 ;\n", + "Epoch 610/1000, Cost: 1.7793\n", + " and the parameters are [-2.89878981 3.93107274] -5.140679411237336 ;\n", + "Epoch 610/1000, Cost: 3.2243\n", + " and the parameters are [-2.89882817 3.93101384] -5.140730911540885 ;\n", + "Epoch 610/1000, Cost: 4.9164\n", + " and the parameters are [-2.89884376 3.9309588 ] -5.140782665241482 ;\n", + "Epoch 610/1000, Cost: 1.4812\n", + " and the parameters are [-2.89883452 3.93100051] -5.14078859641094 ;\n", + "Epoch 610/1000, Cost: 4.4174\n", + " and the parameters are [-2.89875442 3.93094407] -5.140885471710415 ;\n", + "Epoch 610/1000, Cost: 3.4122\n", + " and the parameters are [-2.8987779 3.93099686] -5.1408486027774085 ;\n", + "Epoch 610/1000, Cost: 2.8967\n", + " and the parameters are [-2.8988102 3.93111704] -5.1407695807515905 ;\n", + "Epoch 610/1000, Cost: 5.4984\n", + " and the parameters are [-2.89885369 3.93093939] -5.140892122562785 ;\n", + "Epoch 610/1000, Cost: 8.2558\n", + " and the parameters are [-2.89878322 3.93093609] -5.140905580075134 ;\n", + "Epoch 610/1000, Cost: 2.3775\n", + " and the parameters are [-2.89873855 3.93104382] -5.140865579481597 ;\n", + "Epoch 610/1000, Cost: 2.4982\n", + " and the parameters are [-2.89871917 3.931108 ] -5.14085775313073 ;\n", + "Epoch 610/1000, Cost: 1.0847\n", + " and the parameters are [-2.89875185 3.93107905] -5.140886074265038 ;\n", + "Epoch 610/1000, Cost: 3.9649\n", + " and the parameters are [-2.89881389 3.93115908] -5.140804377507664 ;\n", + "Epoch 610/1000, Cost: 3.0426\n", + " and the parameters are [-2.89879185 3.93125986] -5.140748675338668 ;\n", + "Epoch 610/1000, Cost: 2.0507\n", + " and the parameters are [-2.89879928 3.93124778] -5.1407836174301735 ;\n", + "Epoch 610/1000, Cost: 3.0002\n", + " and the parameters are [-2.89876709 3.93130834] -5.14078781646316 ;\n", + "Epoch 610/1000, Cost: 1.3894\n", + " and the parameters are [-2.8987123 3.93136105] -5.1408037697224165 ;\n", + "Epoch 610/1000, Cost: 4.3747\n", + " and the parameters are [-2.89878456 3.93128687] -5.140832839045538 ;\n", + "Epoch 610/1000, Cost: 3.2284\n", + " and the parameters are [-2.89869742 3.93137653] -5.1408392037714465 ;\n", + "Epoch 610/1000, Cost: 5.5276\n", + " and the parameters are [-2.89876525 3.9313314 ] -5.140831173832681 ;\n", + "Epoch 610/1000, Cost: 2.9053\n", + " and the parameters are [-2.89876481 3.93140636] -5.140806548618392 ;\n", + "Epoch 610/1000, Cost: 1.7041\n", + " and the parameters are [-2.89878583 3.93143499] -5.140810292293586 ;\n", + "Epoch 610/1000, Cost: 4.2633\n", + " and the parameters are [-2.89886647 3.93147681] -5.140759096279384 ;\n", + "Epoch 610/1000, Cost: 6.3544\n", + " and the parameters are [-2.89873124 3.93144312] -5.140851322003297 ;\n", + "Epoch 610/1000, Cost: 2.0516\n", + " and the parameters are [-2.89877133 3.93144459] -5.140857472870491 ;\n", + "Epoch 610/1000, Cost: 5.3464\n", + " and the parameters are [-2.89889109 3.93129421] -5.1409049561970495 ;\n", + "Epoch 610/1000, Cost: 2.5306\n", + " and the parameters are [-2.89886929 3.93142871] -5.140839227233831 ;\n", + "Epoch 610/1000, Cost: 2.4603\n", + " and the parameters are [-2.89891438 3.93143622] -5.14083686079041 ;\n", + "Epoch 610/1000, Cost: 5.5359\n", + " and the parameters are [-2.89886893 3.93143502] -5.140870098141024 ;\n", + "Epoch 610/1000, Cost: 2.5978\n", + " and the parameters are [-2.89893117 3.93138502] -5.140905626029447 ;\n", + "Epoch 610/1000, Cost: 3.4001\n", + " and the parameters are [-2.89893428 3.93134831] -5.14096693866436 ;\n", + "Epoch 610/1000, Cost: 1.5376\n", + " and the parameters are [-2.89893974 3.93138378] -5.140966374771175 ;\n", + "Epoch 610/1000, Cost: 3.8132\n", + " and the parameters are [-2.89893952 3.93140753] -5.140969217434841 ;\n", + "Epoch 610/1000, Cost: 2.2216\n", + " and the parameters are [-2.89899319 3.93131989] -5.141029708874127 ;\n", + "Epoch 610/1000, Cost: 4.0473\n", + " and the parameters are [-2.89901807 3.93131783] -5.141052449264735 ;\n", + "Epoch 610/1000, Cost: 5.1101\n", + " and the parameters are [-2.89906967 3.93134748] -5.140992098909272 ;\n", + "Epoch 610/1000, Cost: 4.8007\n", + " and the parameters are [-2.89905044 3.93143381] -5.140966300326826 ;\n", + "Epoch 610/1000, Cost: 3.3059\n", + " and the parameters are [-2.89900646 3.93156515] -5.140910515561466 ;\n", + "Epoch 610/1000, Cost: 3.2887\n", + " and the parameters are [-2.89903361 3.9314515 ] -5.140999679929599 ;\n", + "Epoch 610/1000, Cost: 4.6679\n", + " and the parameters are [-2.89907554 3.93132312] -5.1410866226806595 ;\n", + "Epoch 610/1000, Cost: 5.0885\n", + " and the parameters are [-2.89910559 3.93132316] -5.141093952102704 ;\n", + "Epoch 610/1000, Cost: 6.5138\n", + " and the parameters are [-2.89910712 3.93119084] -5.141206176591323 ;\n", + "Epoch 610/1000, Cost: 3.7361\n", + " and the parameters are [-2.89917556 3.93111367] -5.141250991459648 ;\n", + "Epoch 610/1000, Cost: 2.1050\n", + " and the parameters are [-2.89916528 3.93116716] -5.141247349927032 ;\n", + "Epoch 610/1000, Cost: 2.6547\n", + " and the parameters are [-2.89914971 3.9312389 ] -5.141237838403005 ;\n", + "Epoch 610/1000, Cost: 4.7217\n", + " and the parameters are [-2.89918997 3.93121129] -5.1412566646471465 ;\n", + "Epoch 610/1000, Cost: 2.8177\n", + " and the parameters are [-2.89924 3.93126949] -5.141220902250005 ;\n", + "Epoch 610/1000, Cost: 1.6198\n", + " and the parameters are [-2.89930294 3.93128409] -5.1412029757224635 ;\n", + "Epoch 610/1000, Cost: 4.6108\n", + " and the parameters are [-2.899346 3.93117604] -5.141265932346569 ;\n", + "Epoch 610/1000, Cost: 2.0337\n", + " and the parameters are [-2.89936256 3.93114303] -5.141315365235329 ;\n", + "Epoch 610/1000, Cost: 2.4134\n", + " and the parameters are [-2.89934406 3.9311305 ] -5.141373347098186 ;\n", + "Epoch 610/1000, Cost: 3.5508\n", + " and the parameters are [-2.89925368 3.93114441] -5.141432723211086 ;\n", + "Epoch 620/1000, Cost: 2.0791\n", + " and the parameters are [-2.91096175 3.94579368] -5.162238382472511 ;\n", + "Epoch 620/1000, Cost: 2.5819\n", + " and the parameters are [-2.91102263 3.94576382] -5.162248654467801 ;\n", + "Epoch 620/1000, Cost: 2.1994\n", + " and the parameters are [-2.91103888 3.94581735] -5.162239929582767 ;\n", + "Epoch 620/1000, Cost: 3.1384\n", + " and the parameters are [-2.91110716 3.94566931] -5.162336687233413 ;\n", + "Epoch 620/1000, Cost: 3.3090\n", + " and the parameters are [-2.91116309 3.94554284] -5.162420396318645 ;\n", + "Epoch 620/1000, Cost: 1.8024\n", + " and the parameters are [-2.9112062 3.94553728] -5.162431529492151 ;\n", + "Epoch 620/1000, Cost: 2.1998\n", + " and the parameters are [-2.91120501 3.94547379] -5.162491245093831 ;\n", + "Epoch 620/1000, Cost: 3.9517\n", + " and the parameters are [-2.91115363 3.94549508] -5.1625295521362595 ;\n", + "Epoch 620/1000, Cost: 2.5559\n", + " and the parameters are [-2.91120249 3.94541222] -5.16259049298688 ;\n", + "Epoch 620/1000, Cost: 1.8040\n", + " and the parameters are [-2.91121443 3.94537897] -5.1626323092502515 ;\n", + "Epoch 620/1000, Cost: 3.6822\n", + " and the parameters are [-2.91121573 3.94541232] -5.162636688213771 ;\n", + "Epoch 620/1000, Cost: 2.6723\n", + " and the parameters are [-2.91123009 3.94549646] -5.162573644105641 ;\n", + "Epoch 620/1000, Cost: 2.2568\n", + " and the parameters are [-2.9112242 3.94555218] -5.1625633973685225 ;\n", + "Epoch 620/1000, Cost: 4.4971\n", + " and the parameters are [-2.91119999 3.94561087] -5.162532759366665 ;\n", + "Epoch 620/1000, Cost: 3.2886\n", + " and the parameters are [-2.91121206 3.94564907] -5.162531832341062 ;\n", + "Epoch 620/1000, Cost: 2.9531\n", + " and the parameters are [-2.91120316 3.94562939] -5.1625889934631175 ;\n", + "Epoch 620/1000, Cost: 3.2290\n", + " and the parameters are [-2.91119417 3.945734 ] -5.162539041288952 ;\n", + "Epoch 620/1000, Cost: 2.0771\n", + " and the parameters are [-2.91120077 3.94579593] -5.16251940121662 ;\n", + "Epoch 620/1000, Cost: 6.1676\n", + " and the parameters are [-2.91136961 3.94576189] -5.162466587543547 ;\n", + "Epoch 620/1000, Cost: 1.6042\n", + " and the parameters are [-2.9113743 3.94579823] -5.162470210628548 ;\n", + "Epoch 620/1000, Cost: 3.8464\n", + " and the parameters are [-2.91139417 3.94583275] -5.16244861824603 ;\n", + "Epoch 620/1000, Cost: 2.8723\n", + " and the parameters are [-2.9113494 3.94596068] -5.162405655993756 ;\n", + "Epoch 620/1000, Cost: 1.3726\n", + " and the parameters are [-2.91133629 3.9460241 ] -5.162396351931475 ;\n", + "Epoch 620/1000, Cost: 1.1316\n", + " and the parameters are [-2.91134104 3.94604859] -5.1624037517331285 ;\n", + "Epoch 620/1000, Cost: 0.5822\n", + " and the parameters are [-2.91133763 3.9460814 ] -5.162399013344251 ;\n", + "Epoch 620/1000, Cost: 3.5022\n", + " and the parameters are [-2.91134479 3.94614563] -5.1623626342519335 ;\n", + "Epoch 620/1000, Cost: 6.4028\n", + " and the parameters are [-2.91139897 3.94597448] -5.162463657950914 ;\n", + "Epoch 620/1000, Cost: 1.3465\n", + " and the parameters are [-2.91139442 3.94594671] -5.16251072677096 ;\n", + "Epoch 620/1000, Cost: 1.3269\n", + " and the parameters are [-2.91136768 3.94605635] -5.162467948897849 ;\n", + "Epoch 620/1000, Cost: 5.0048\n", + " and the parameters are [-2.91144042 3.94601302] -5.162478092151937 ;\n", + "Epoch 620/1000, Cost: 2.5092\n", + " and the parameters are [-2.9113584 3.9460323] -5.162540768779467 ;\n", + "Epoch 620/1000, Cost: 3.1799\n", + " and the parameters are [-2.91135096 3.94595079] -5.162620238041775 ;\n", + "Epoch 620/1000, Cost: 6.0357\n", + " and the parameters are [-2.91126449 3.94613851] -5.162541538192121 ;\n", + "Epoch 620/1000, Cost: 4.2274\n", + " and the parameters are [-2.91131951 3.9462347 ] -5.162465382508539 ;\n", + "Epoch 620/1000, Cost: 4.4723\n", + " and the parameters are [-2.91129902 3.94623029] -5.162492671724074 ;\n", + "Epoch 620/1000, Cost: 2.3086\n", + " and the parameters are [-2.91131375 3.94617801] -5.16254743894957 ;\n", + "Epoch 620/1000, Cost: 0.9696\n", + " and the parameters are [-2.91132805 3.94618233] -5.162560967026269 ;\n", + "Epoch 620/1000, Cost: 2.8811\n", + " and the parameters are [-2.91137999 3.94620092] -5.162550560022988 ;\n", + "Epoch 620/1000, Cost: 2.2338\n", + " and the parameters are [-2.91139492 3.94621167] -5.1625654206760325 ;\n", + "Epoch 620/1000, Cost: 2.1006\n", + " and the parameters are [-2.9113869 3.94624146] -5.162580967690247 ;\n", + "Epoch 620/1000, Cost: 2.6767\n", + " and the parameters are [-2.91142125 3.94625056] -5.162581146733361 ;\n", + "Epoch 620/1000, Cost: 4.9765\n", + " and the parameters are [-2.91151551 3.94608056] -5.1626667818739636 ;\n", + "Epoch 620/1000, Cost: 1.5726\n", + " and the parameters are [-2.91147909 3.94613947] -5.16266684102654 ;\n", + "Epoch 620/1000, Cost: 2.0681\n", + " and the parameters are [-2.91149986 3.94617773] -5.162658049235917 ;\n", + "Epoch 620/1000, Cost: 3.6041\n", + " and the parameters are [-2.91147802 3.94610748] -5.162734848701637 ;\n", + "Epoch 620/1000, Cost: 1.2499\n", + " and the parameters are [-2.91144184 3.94622533] -5.162693435007491 ;\n", + "Epoch 620/1000, Cost: 5.7687\n", + " and the parameters are [-2.91141625 3.94606965] -5.162833407549498 ;\n", + "Epoch 620/1000, Cost: 2.3036\n", + " and the parameters are [-2.91143981 3.94607802] -5.162845299838497 ;\n", + "Epoch 620/1000, Cost: 1.9044\n", + " and the parameters are [-2.9113656 3.9461261] -5.162874202662619 ;\n", + "Epoch 620/1000, Cost: 2.9387\n", + " and the parameters are [-2.91144799 3.94616624] -5.162838085266041 ;\n", + "Epoch 620/1000, Cost: 4.6087\n", + " and the parameters are [-2.91140165 3.94621301] -5.1628525470380575 ;\n", + "Epoch 620/1000, Cost: 1.9392\n", + " and the parameters are [-2.91140826 3.94627484] -5.162829323654492 ;\n", + "Epoch 620/1000, Cost: 2.4274\n", + " and the parameters are [-2.9113813 3.94627308] -5.162883173213453 ;\n", + "Epoch 620/1000, Cost: 3.1365\n", + " and the parameters are [-2.91140593 3.94637585] -5.162800693250377 ;\n", + "Epoch 620/1000, Cost: 1.0473\n", + " and the parameters are [-2.91141731 3.94635054] -5.162837336089924 ;\n", + "Epoch 620/1000, Cost: 1.4571\n", + " and the parameters are [-2.91142375 3.94635702] -5.162854907424052 ;\n", + "Epoch 620/1000, Cost: 3.0724\n", + " and the parameters are [-2.91142377 3.94636124] -5.162889482412687 ;\n", + "Epoch 620/1000, Cost: 6.6206\n", + " and the parameters are [-2.91139592 3.94647076] -5.162828959479423 ;\n", + "Epoch 620/1000, Cost: 7.9667\n", + " and the parameters are [-2.91144381 3.94634482] -5.16285098375992 ;\n", + "Epoch 620/1000, Cost: 3.4885\n", + " and the parameters are [-2.91139519 3.94647809] -5.162786662578521 ;\n", + "Epoch 620/1000, Cost: 3.3418\n", + " and the parameters are [-2.91141021 3.9464331 ] -5.162838768898978 ;\n", + "Epoch 620/1000, Cost: 5.1875\n", + " and the parameters are [-2.91142467 3.94629989] -5.162946046747987 ;\n", + "Epoch 620/1000, Cost: 5.2189\n", + " and the parameters are [-2.91143835 3.94625334] -5.162964632447792 ;\n", + "Epoch 620/1000, Cost: 5.2390\n", + " and the parameters are [-2.91142934 3.94612728] -5.163052006720412 ;\n", + "Epoch 620/1000, Cost: 1.8442\n", + " and the parameters are [-2.91139631 3.94624268] -5.163008636105039 ;\n", + "Epoch 620/1000, Cost: 1.1246\n", + " and the parameters are [-2.9113694 3.94629252] -5.163008531140933 ;\n", + "Epoch 620/1000, Cost: 1.8214\n", + " and the parameters are [-2.91135284 3.94633416] -5.163015692715512 ;\n", + "Epoch 620/1000, Cost: 1.6720\n", + " and the parameters are [-2.91137669 3.94633785] -5.163030945391613 ;\n", + "Epoch 620/1000, Cost: 5.3074\n", + " and the parameters are [-2.91147877 3.94630348] -5.163031756983716 ;\n", + "Epoch 620/1000, Cost: 3.8448\n", + " and the parameters are [-2.91142669 3.94632434] -5.163070784884287 ;\n", + "Epoch 620/1000, Cost: 1.6224\n", + " and the parameters are [-2.9113782 3.94634615] -5.1631134813530055 ;\n", + "Epoch 620/1000, Cost: 3.2442\n", + " and the parameters are [-2.91145921 3.94636484] -5.163075358349663 ;\n", + "Epoch 620/1000, Cost: 2.3524\n", + " and the parameters are [-2.91147327 3.94636949] -5.16308694235557 ;\n", + "Epoch 620/1000, Cost: 4.9316\n", + " and the parameters are [-2.91143352 3.94631181] -5.163161593965813 ;\n", + "Epoch 620/1000, Cost: 2.1836\n", + " and the parameters are [-2.91142011 3.94624446] -5.163242169643921 ;\n", + "Epoch 620/1000, Cost: 2.3112\n", + " and the parameters are [-2.91142822 3.94627842] -5.163242770965993 ;\n", + "Epoch 620/1000, Cost: 5.0608\n", + " and the parameters are [-2.91148803 3.94619577] -5.163266058258713 ;\n", + "Epoch 620/1000, Cost: 1.4256\n", + " and the parameters are [-2.91148804 3.94622798] -5.163274772360758 ;\n", + "Epoch 620/1000, Cost: 3.8778\n", + " and the parameters are [-2.9115041 3.94621851] -5.163298700877858 ;\n", + "Epoch 620/1000, Cost: 4.3034\n", + " and the parameters are [-2.91160056 3.94626403] -5.163237445747514 ;\n", + "Epoch 620/1000, Cost: 6.9722\n", + " and the parameters are [-2.91176076 3.94605787] -5.163290813342812 ;\n", + "Epoch 620/1000, Cost: 2.0363\n", + " and the parameters are [-2.91177461 3.9460671 ] -5.16329066378332 ;\n", + "Epoch 620/1000, Cost: 4.9463\n", + " and the parameters are [-2.91181309 3.94599964] -5.1633327518212955 ;\n", + "Epoch 620/1000, Cost: 2.2609\n", + " and the parameters are [-2.91172956 3.94609685] -5.163325006516557 ;\n", + "Epoch 620/1000, Cost: 2.3697\n", + " and the parameters are [-2.91171615 3.9461027 ] -5.163347330699537 ;\n", + "Epoch 620/1000, Cost: 2.1785\n", + " and the parameters are [-2.91172797 3.94604427] -5.163419319451984 ;\n", + "Epoch 620/1000, Cost: 1.5701\n", + " and the parameters are [-2.91173101 3.9460394 ] -5.163453407420512 ;\n", + "Epoch 620/1000, Cost: 2.7576\n", + " and the parameters are [-2.91170676 3.94613075] -5.163428505738195 ;\n", + "Epoch 620/1000, Cost: 1.2327\n", + " and the parameters are [-2.91172439 3.94615037] -5.16343142963033 ;\n", + "Epoch 620/1000, Cost: 2.2104\n", + " and the parameters are [-2.91176289 3.94615764] -5.163439537591316 ;\n", + "Epoch 620/1000, Cost: 1.5490\n", + " and the parameters are [-2.9117395 3.94617102] -5.163461192030908 ;\n", + "Epoch 620/1000, Cost: 2.2360\n", + " and the parameters are [-2.91171502 3.94614399] -5.163523778228822 ;\n", + "Epoch 620/1000, Cost: 1.5290\n", + " and the parameters are [-2.91168513 3.94615339] -5.163563685355108 ;\n", + "Epoch 620/1000, Cost: 4.2845\n", + " and the parameters are [-2.91175932 3.9460165 ] -5.1636262027312005 ;\n", + "Epoch 620/1000, Cost: 2.9347\n", + " and the parameters are [-2.91172313 3.94598857] -5.163680727110539 ;\n", + "Epoch 620/1000, Cost: 5.8216\n", + " and the parameters are [-2.91165245 3.94620073] -5.163567023238163 ;\n", + "Epoch 620/1000, Cost: 2.2811\n", + " and the parameters are [-2.9116459 3.94625261] -5.163560565856535 ;\n", + "Epoch 620/1000, Cost: 1.2349\n", + " and the parameters are [-2.91164188 3.94627336] -5.16357180978511 ;\n", + "Epoch 620/1000, Cost: 0.7781\n", + " and the parameters are [-2.91163969 3.94632991] -5.163552764279876 ;\n", + "Epoch 620/1000, Cost: 7.1571\n", + " and the parameters are [-2.91178453 3.94603457] -5.163684098882551 ;\n", + "Epoch 620/1000, Cost: 4.6818\n", + " and the parameters are [-2.91173976 3.94592497] -5.163791808473417 ;\n", + "Epoch 620/1000, Cost: 1.4564\n", + " and the parameters are [-2.91169867 3.94595445] -5.163816634059988 ;\n", + "Epoch 620/1000, Cost: 1.9966\n", + " and the parameters are [-2.9117121 3.94598349] -5.163820867863875 ;\n", + "Epoch 620/1000, Cost: 4.5054\n", + " and the parameters are [-2.9117614 3.94597731] -5.163817065375165 ;\n", + "Epoch 620/1000, Cost: 3.1067\n", + " and the parameters are [-2.91172915 3.94605869] -5.163809802391823 ;\n", + "Epoch 620/1000, Cost: 2.5225\n", + " and the parameters are [-2.91173169 3.94612806] -5.16378667728287 ;\n", + "Epoch 620/1000, Cost: 2.5915\n", + " and the parameters are [-2.91174392 3.94612438] -5.163807020163426 ;\n", + "Epoch 620/1000, Cost: 8.1640\n", + " and the parameters are [-2.91172701 3.94611532] -5.16380938142593 ;\n", + "Epoch 620/1000, Cost: 3.7415\n", + " and the parameters are [-2.91178739 3.94604765] -5.163866162603083 ;\n", + "Epoch 620/1000, Cost: 2.3255\n", + " and the parameters are [-2.91174242 3.94609517] -5.163883274822517 ;\n", + "Epoch 620/1000, Cost: 3.0220\n", + " and the parameters are [-2.91176064 3.94604811] -5.163925617187455 ;\n", + "Epoch 620/1000, Cost: 8.2537\n", + " and the parameters are [-2.91177613 3.94598997] -5.163914174603868 ;\n", + "Epoch 620/1000, Cost: 2.3707\n", + " and the parameters are [-2.91179529 3.94593652] -5.16396887315009 ;\n", + "Epoch 620/1000, Cost: 4.5841\n", + " and the parameters are [-2.91171945 3.9459564 ] -5.1640250402346215 ;\n", + "Epoch 620/1000, Cost: 1.4762\n", + " and the parameters are [-2.91175252 3.94592926] -5.164049825168421 ;\n", + "Epoch 620/1000, Cost: 1.5157\n", + " and the parameters are [-2.91178097 3.94591664] -5.164071085926943 ;\n", + "Epoch 620/1000, Cost: 7.8268\n", + " and the parameters are [-2.91175124 3.94600261] -5.164006504712656 ;\n", + "Epoch 620/1000, Cost: 2.5880\n", + " and the parameters are [-2.91173966 3.94600806] -5.164041779636407 ;\n", + "Epoch 620/1000, Cost: 2.4393\n", + " and the parameters are [-2.91169695 3.94602194] -5.164084748594708 ;\n", + "Epoch 620/1000, Cost: 2.3939\n", + " and the parameters are [-2.9116684 3.94614989] -5.164033750247752 ;\n", + "Epoch 620/1000, Cost: 1.2652\n", + " and the parameters are [-2.91165202 3.94615024] -5.164070094636535 ;\n", + "Epoch 620/1000, Cost: 3.3675\n", + " and the parameters are [-2.91171893 3.94617231] -5.164038160008873 ;\n", + "Epoch 620/1000, Cost: 2.8138\n", + " and the parameters are [-2.91184898 3.94615738] -5.164007647132069 ;\n", + "Epoch 620/1000, Cost: 2.3210\n", + " and the parameters are [-2.9118216 3.94621449] -5.164001428684044 ;\n", + "Epoch 620/1000, Cost: 5.1338\n", + " and the parameters are [-2.9119017 3.94610844] -5.1640747625944226 ;\n", + "Epoch 620/1000, Cost: 6.1934\n", + " and the parameters are [-2.91191619 3.94607042] -5.164077694984401 ;\n", + "Epoch 620/1000, Cost: 2.5553\n", + " and the parameters are [-2.91197091 3.94607088] -5.164083152178657 ;\n", + "Epoch 620/1000, Cost: 1.9357\n", + " and the parameters are [-2.91198996 3.9460994 ] -5.164078417867841 ;\n", + "Epoch 620/1000, Cost: 4.6700\n", + " and the parameters are [-2.91200913 3.94609669] -5.164087579789548 ;\n", + "Epoch 620/1000, Cost: 5.4763\n", + " and the parameters are [-2.9119338 3.94610617] -5.164123478229571 ;\n", + "Epoch 620/1000, Cost: 4.7145\n", + " and the parameters are [-2.91201341 3.94607312] -5.1641323502981615 ;\n", + "Epoch 620/1000, Cost: 1.5266\n", + " and the parameters are [-2.91202413 3.94608059] -5.164141607265478 ;\n", + "Epoch 620/1000, Cost: 6.7609\n", + " and the parameters are [-2.91212356 3.94613423] -5.164044244325417 ;\n", + "Epoch 620/1000, Cost: 1.5344\n", + " and the parameters are [-2.91211684 3.94622921] -5.16399855224052 ;\n", + "Epoch 620/1000, Cost: 3.3971\n", + " and the parameters are [-2.91205433 3.94622917] -5.164049330124986 ;\n", + "Epoch 620/1000, Cost: 3.1106\n", + " and the parameters are [-2.91203314 3.94631178] -5.164028132000352 ;\n", + "Epoch 620/1000, Cost: 1.1428\n", + " and the parameters are [-2.91201467 3.9463782 ] -5.16401537699113 ;\n", + "Epoch 620/1000, Cost: 2.7318\n", + " and the parameters are [-2.91203396 3.94634821] -5.164059292593135 ;\n", + "Epoch 620/1000, Cost: 4.7254\n", + " and the parameters are [-2.91199288 3.94635565] -5.164071184432599 ;\n", + "Epoch 620/1000, Cost: 2.7100\n", + " and the parameters are [-2.91195631 3.94642285] -5.164078293288598 ;\n", + "Epoch 620/1000, Cost: 4.2764\n", + " and the parameters are [-2.91199309 3.94645079] -5.164058327297609 ;\n", + "Epoch 620/1000, Cost: 1.6688\n", + " and the parameters are [-2.91199921 3.94652263] -5.164031764362045 ;\n", + "Epoch 620/1000, Cost: 0.6678\n", + " and the parameters are [-2.91200418 3.94652833] -5.164044995839798 ;\n", + "Epoch 620/1000, Cost: 2.0261\n", + " and the parameters are [-2.91207083 3.94651171] -5.164045194678633 ;\n", + "Epoch 620/1000, Cost: 2.4503\n", + " and the parameters are [-2.912133 3.94640606] -5.164110154245554 ;\n", + "Epoch 620/1000, Cost: 4.9637\n", + " and the parameters are [-2.91205777 3.94654169] -5.1640714130931045 ;\n", + "Epoch 620/1000, Cost: 2.5239\n", + " and the parameters are [-2.91209448 3.94649981] -5.16410987868934 ;\n", + "Epoch 620/1000, Cost: 2.4351\n", + " and the parameters are [-2.91211488 3.94648718] -5.164138514197626 ;\n", + "Epoch 620/1000, Cost: 1.3599\n", + " and the parameters are [-2.91211508 3.94648002] -5.164174292311289 ;\n", + "Epoch 620/1000, Cost: 4.4292\n", + " and the parameters are [-2.91205143 3.9465282 ] -5.164186442126766 ;\n", + "Epoch 620/1000, Cost: 4.3409\n", + " and the parameters are [-2.91204935 3.94645493] -5.164256937698233 ;\n", + "Epoch 620/1000, Cost: 2.5813\n", + " and the parameters are [-2.91206774 3.94652457] -5.164227940064133 ;\n", + "Epoch 620/1000, Cost: 4.7474\n", + " and the parameters are [-2.91194312 3.94662237] -5.164247746363376 ;\n", + "Epoch 620/1000, Cost: 1.5414\n", + " and the parameters are [-2.9119888 3.94664373] -5.164235059909895 ;\n", + "Epoch 620/1000, Cost: 1.7142\n", + " and the parameters are [-2.91200982 3.94667827] -5.1642163320823045 ;\n", + "Epoch 620/1000, Cost: 1.5505\n", + " and the parameters are [-2.91199279 3.94673759] -5.164206900285018 ;\n", + "Epoch 620/1000, Cost: 3.7449\n", + " and the parameters are [-2.91203211 3.94666111] -5.164245086245366 ;\n", + "Epoch 620/1000, Cost: 2.5059\n", + " and the parameters are [-2.91208454 3.94664688] -5.1642519516120915 ;\n", + "Epoch 620/1000, Cost: 1.0551\n", + " and the parameters are [-2.91210789 3.94667649] -5.1642391354232045 ;\n", + "Epoch 620/1000, Cost: 3.6692\n", + " and the parameters are [-2.91214636 3.94671147] -5.164211541597524 ;\n", + "Epoch 620/1000, Cost: 5.9252\n", + " and the parameters are [-2.91214486 3.94672562] -5.164223911971149 ;\n", + "Epoch 620/1000, Cost: 3.5635\n", + " and the parameters are [-2.91218768 3.94681262] -5.164146262845958 ;\n", + "Epoch 620/1000, Cost: 3.6398\n", + " and the parameters are [-2.91209557 3.94693764] -5.164117831677417 ;\n", + "Epoch 620/1000, Cost: 1.7561\n", + " and the parameters are [-2.91207206 3.94694679] -5.164150860549737 ;\n", + "Epoch 620/1000, Cost: 1.9507\n", + " and the parameters are [-2.91205339 3.9470072 ] -5.16414963300187 ;\n", + "Epoch 620/1000, Cost: 4.7245\n", + " and the parameters are [-2.91204212 3.94692667] -5.164240080111413 ;\n", + "Epoch 620/1000, Cost: 2.2190\n", + " and the parameters are [-2.91204592 3.94698104] -5.164226534360847 ;\n", + "Epoch 620/1000, Cost: 3.1753\n", + " and the parameters are [-2.91212062 3.94695497] -5.164220107696896 ;\n", + "Epoch 620/1000, Cost: 1.8238\n", + " and the parameters are [-2.91216429 3.94700787] -5.164177202870109 ;\n", + "Epoch 620/1000, Cost: 4.0291\n", + " and the parameters are [-2.91216824 3.94694015] -5.16422008278311 ;\n", + "Epoch 620/1000, Cost: 2.8120\n", + " and the parameters are [-2.91219162 3.94693696] -5.164244684161214 ;\n", + "Epoch 620/1000, Cost: 4.9997\n", + " and the parameters are [-2.91219751 3.94698981] -5.16421171465626 ;\n", + "Epoch 620/1000, Cost: 4.2072\n", + " and the parameters are [-2.91212048 3.94712891] -5.164169665555049 ;\n", + "Epoch 620/1000, Cost: 3.9935\n", + " and the parameters are [-2.91211741 3.94705544] -5.164249191246254 ;\n", + "Epoch 620/1000, Cost: 6.1706\n", + " and the parameters are [-2.91215409 3.94689183] -5.164352550503932 ;\n", + "Epoch 620/1000, Cost: 5.1119\n", + " and the parameters are [-2.91205302 3.94709576] -5.164257033749392 ;\n", + "Epoch 620/1000, Cost: 3.4285\n", + " and the parameters are [-2.91207768 3.94710624] -5.164260887495377 ;\n", + "Epoch 620/1000, Cost: 4.4943\n", + " and the parameters are [-2.91208687 3.94702354] -5.164341319650141 ;\n", + "Epoch 620/1000, Cost: 2.7056\n", + " and the parameters are [-2.91212024 3.94700455] -5.164370018081309 ;\n", + "Epoch 620/1000, Cost: 3.3308\n", + " and the parameters are [-2.9120959 3.94706976] -5.164371743444201 ;\n", + "Epoch 620/1000, Cost: 1.7759\n", + " and the parameters are [-2.91208842 3.94707089] -5.164412980618995 ;\n", + "Epoch 620/1000, Cost: 2.2981\n", + " and the parameters are [-2.91206367 3.9471705 ] -5.164378567552219 ;\n", + "Epoch 620/1000, Cost: 4.1788\n", + " and the parameters are [-2.91204068 3.94713451] -5.1644430664456555 ;\n", + "Epoch 620/1000, Cost: 2.1943\n", + " and the parameters are [-2.91202171 3.94721485] -5.164423536578397 ;\n", + "Epoch 620/1000, Cost: 4.1221\n", + " and the parameters are [-2.91209607 3.94716923] -5.164429475148238 ;\n", + "Epoch 620/1000, Cost: 2.3346\n", + " and the parameters are [-2.91206377 3.94727045] -5.164390931158363 ;\n", + "Epoch 620/1000, Cost: 3.4557\n", + " and the parameters are [-2.91206288 3.94719482] -5.1644793748923465 ;\n", + "Epoch 620/1000, Cost: 6.6836\n", + " and the parameters are [-2.91202136 3.94735035] -5.16436600461081 ;\n", + "Epoch 620/1000, Cost: 2.5422\n", + " and the parameters are [-2.91209453 3.94731843] -5.164382453573825 ;\n", + "Epoch 620/1000, Cost: 2.6849\n", + " and the parameters are [-2.91208931 3.94734308] -5.164392491939953 ;\n", + "Epoch 620/1000, Cost: 3.0316\n", + " and the parameters are [-2.91210826 3.94731773] -5.164419454406197 ;\n", + "Epoch 620/1000, Cost: 4.6869\n", + " and the parameters are [-2.91207844 3.94745601] -5.164366276235331 ;\n", + "Epoch 620/1000, Cost: 4.0436\n", + " and the parameters are [-2.91215726 3.94740677] -5.164389141302876 ;\n", + "Epoch 620/1000, Cost: 1.8924\n", + " and the parameters are [-2.91218373 3.94737283] -5.164434734734498 ;\n", + "Epoch 620/1000, Cost: 3.4064\n", + " and the parameters are [-2.91220413 3.94732987] -5.164475817266867 ;\n", + "Epoch 620/1000, Cost: 3.5436\n", + " and the parameters are [-2.91221552 3.94732566] -5.164498578203421 ;\n", + "Epoch 620/1000, Cost: 2.1859\n", + " and the parameters are [-2.91225872 3.94737048] -5.164465731967792 ;\n", + "Epoch 620/1000, Cost: 0.8216\n", + " and the parameters are [-2.91225547 3.9474025 ] -5.164465283482829 ;\n", + "Epoch 620/1000, Cost: 2.5640\n", + " and the parameters are [-2.91219054 3.94743637] -5.164507016250349 ;\n", + "Epoch 620/1000, Cost: 6.4502\n", + " and the parameters are [-2.91224249 3.94734454] -5.164553314686512 ;\n", + "Epoch 630/1000, Cost: 8.9298\n", + " and the parameters are [-2.92370589 3.96179989] -5.185005053285342 ;\n", + "Epoch 630/1000, Cost: 2.9190\n", + " and the parameters are [-2.92376623 3.96178624] -5.1850150445675345 ;\n", + "Epoch 630/1000, Cost: 4.9144\n", + " and the parameters are [-2.92378069 3.96186686] -5.184949839002815 ;\n", + "Epoch 630/1000, Cost: 1.7408\n", + " and the parameters are [-2.92374981 3.96187275] -5.184985919046879 ;\n", + "Epoch 630/1000, Cost: 4.4211\n", + " and the parameters are [-2.92380412 3.96191291] -5.184943774971711 ;\n", + "Epoch 630/1000, Cost: 7.5822\n", + " and the parameters are [-2.92383856 3.96185838] -5.184942117173276 ;\n", + "Epoch 630/1000, Cost: 3.6060\n", + " and the parameters are [-2.92388774 3.96193791] -5.184876701001947 ;\n", + "Epoch 630/1000, Cost: 1.1778\n", + " and the parameters are [-2.92389829 3.96200192] -5.184852903271654 ;\n", + "Epoch 630/1000, Cost: 1.3632\n", + " and the parameters are [-2.92388491 3.96203019] -5.184869473679686 ;\n", + "Epoch 630/1000, Cost: 4.3588\n", + " and the parameters are [-2.92392459 3.9619674 ] -5.184916883457077 ;\n", + "Epoch 630/1000, Cost: 2.9013\n", + " and the parameters are [-2.92393711 3.96192937] -5.184968168736659 ;\n", + "Epoch 630/1000, Cost: 4.6229\n", + " and the parameters are [-2.92388973 3.96211338] -5.184864052540247 ;\n", + "Epoch 630/1000, Cost: 2.6411\n", + " and the parameters are [-2.92388451 3.96218522] -5.184849573163339 ;\n", + "Epoch 630/1000, Cost: 6.1820\n", + " and the parameters are [-2.92387153 3.96226416] -5.184811624894429 ;\n", + "Epoch 630/1000, Cost: 3.1793\n", + " and the parameters are [-2.9239232 3.96220257] -5.184851941227287 ;\n", + "Epoch 630/1000, Cost: 2.0933\n", + " and the parameters are [-2.92393398 3.96225353] -5.184832968274341 ;\n", + "Epoch 630/1000, Cost: 4.0485\n", + " and the parameters are [-2.92395714 3.96211229] -5.184951628490892 ;\n", + "Epoch 630/1000, Cost: 1.9695\n", + " and the parameters are [-2.92396904 3.96210444] -5.184978387962699 ;\n", + "Epoch 630/1000, Cost: 1.9805\n", + " and the parameters are [-2.9239338 3.96224202] -5.184918651773413 ;\n", + "Epoch 630/1000, Cost: 3.7351\n", + " and the parameters are [-2.92398614 3.96214083] -5.184989005929007 ;\n", + "Epoch 630/1000, Cost: 2.1176\n", + " and the parameters are [-2.92397444 3.96221262] -5.184973055843454 ;\n", + "Epoch 630/1000, Cost: 3.1820\n", + " and the parameters are [-2.92397074 3.96225364] -5.184982596781429 ;\n", + "Epoch 630/1000, Cost: 2.8050\n", + " and the parameters are [-2.92397104 3.96230215] -5.1849779945640915 ;\n", + "Epoch 630/1000, Cost: 3.8114\n", + " and the parameters are [-2.92396687 3.96239134] -5.184932321051063 ;\n", + "Epoch 630/1000, Cost: 6.9963\n", + " and the parameters are [-2.92399181 3.96235114] -5.184939591977199 ;\n", + "Epoch 630/1000, Cost: 3.5781\n", + " and the parameters are [-2.92397005 3.96237289] -5.184957067188859 ;\n", + "Epoch 630/1000, Cost: 2.5603\n", + " and the parameters are [-2.92398876 3.96237917] -5.184979654693166 ;\n", + "Epoch 630/1000, Cost: 3.3081\n", + " and the parameters are [-2.92396686 3.96233626] -5.185047918083932 ;\n", + "Epoch 630/1000, Cost: 3.9683\n", + " and the parameters are [-2.92398942 3.9623284 ] -5.18506586580148 ;\n", + "Epoch 630/1000, Cost: 2.8706\n", + " and the parameters are [-2.92401297 3.96230796] -5.185090480222968 ;\n", + "Epoch 630/1000, Cost: 2.6493\n", + " and the parameters are [-2.92401376 3.9622397 ] -5.185153363575348 ;\n", + "Epoch 630/1000, Cost: 4.2947\n", + " and the parameters are [-2.92397039 3.96218728] -5.185217529086848 ;\n", + "Epoch 630/1000, Cost: 3.1217\n", + " and the parameters are [-2.92402609 3.96210948] -5.185267765310694 ;\n", + "Epoch 630/1000, Cost: 2.6660\n", + " and the parameters are [-2.92398332 3.96217039] -5.185280112945689 ;\n", + "Epoch 630/1000, Cost: 3.6157\n", + " and the parameters are [-2.92387409 3.96239679] -5.185185596823881 ;\n", + "Epoch 630/1000, Cost: 3.0118\n", + " and the parameters are [-2.92383555 3.96250862] -5.185155011034393 ;\n", + "Epoch 630/1000, Cost: 1.9870\n", + " and the parameters are [-2.92380714 3.96250506] -5.185205693592033 ;\n", + "Epoch 630/1000, Cost: 2.2366\n", + " and the parameters are [-2.92380434 3.96246986] -5.185249741628608 ;\n", + "Epoch 630/1000, Cost: 2.9933\n", + " and the parameters are [-2.92384377 3.96242641] -5.1852894264676275 ;\n", + "Epoch 630/1000, Cost: 1.9349\n", + " and the parameters are [-2.92380473 3.96245773] -5.1853153693007625 ;\n", + "Epoch 630/1000, Cost: 1.0905\n", + " and the parameters are [-2.92380753 3.96252395] -5.185287021050214 ;\n", + "Epoch 630/1000, Cost: 3.8358\n", + " and the parameters are [-2.92388627 3.9623663 ] -5.185383845694978 ;\n", + "Epoch 630/1000, Cost: 2.3556\n", + " and the parameters are [-2.92390553 3.96238727] -5.185398745869665 ;\n", + "Epoch 630/1000, Cost: 3.6413\n", + " and the parameters are [-2.92396502 3.96234976] -5.18541487012701 ;\n", + "Epoch 630/1000, Cost: 2.4600\n", + " and the parameters are [-2.92393503 3.96242356] -5.185410587995101 ;\n", + "Epoch 630/1000, Cost: 2.1576\n", + " and the parameters are [-2.92394767 3.96237401] -5.185470532692527 ;\n", + "Epoch 630/1000, Cost: 3.4663\n", + " and the parameters are [-2.92386757 3.96249433] -5.185444339723425 ;\n", + "Epoch 630/1000, Cost: 4.3557\n", + " and the parameters are [-2.92380622 3.96253606] -5.18546304931722 ;\n", + "Epoch 630/1000, Cost: 4.4350\n", + " and the parameters are [-2.92381527 3.96249399] -5.185513110827838 ;\n", + "Epoch 630/1000, Cost: 1.7463\n", + " and the parameters are [-2.92382772 3.96247791] -5.185547695930411 ;\n", + "Epoch 630/1000, Cost: 1.6494\n", + " and the parameters are [-2.92381105 3.96257192] -5.185512385546112 ;\n", + "Epoch 630/1000, Cost: 6.5795\n", + " and the parameters are [-2.92378921 3.96254795] -5.185541900383509 ;\n", + "Epoch 630/1000, Cost: 2.3817\n", + " and the parameters are [-2.92375577 3.96264865] -5.185505257289055 ;\n", + "Epoch 630/1000, Cost: 2.8875\n", + " and the parameters are [-2.92373882 3.96273445] -5.1854890225142 ;\n", + "Epoch 630/1000, Cost: 2.6111\n", + " and the parameters are [-2.9237772 3.9626404] -5.185566251977938 ;\n", + "Epoch 630/1000, Cost: 4.8607\n", + " and the parameters are [-2.92386356 3.96246041] -5.185660391232984 ;\n", + "Epoch 630/1000, Cost: 2.6768\n", + " and the parameters are [-2.92390231 3.96243767] -5.185688618344506 ;\n", + "Epoch 630/1000, Cost: 2.9156\n", + " and the parameters are [-2.92392607 3.96241939] -5.185720501204795 ;\n", + "Epoch 630/1000, Cost: 3.0283\n", + " and the parameters are [-2.92393028 3.9624495 ] -5.185709306135324 ;\n", + "Epoch 630/1000, Cost: 2.3609\n", + " and the parameters are [-2.92387353 3.96244398] -5.185775001616451 ;\n", + "Epoch 630/1000, Cost: 1.8394\n", + " and the parameters are [-2.92387251 3.96241157] -5.185832165213929 ;\n", + "Epoch 630/1000, Cost: 1.8866\n", + " and the parameters are [-2.92387697 3.96246398] -5.185813300103906 ;\n", + "Epoch 630/1000, Cost: 3.2159\n", + " and the parameters are [-2.92391992 3.96249881] -5.185796997118697 ;\n", + "Epoch 630/1000, Cost: 3.8898\n", + " and the parameters are [-2.92398724 3.96252611] -5.185757291582127 ;\n", + "Epoch 630/1000, Cost: 1.2268\n", + " and the parameters are [-2.92398458 3.96260187] -5.185731682812485 ;\n", + "Epoch 630/1000, Cost: 1.0279\n", + " and the parameters are [-2.92396258 3.96263249] -5.185744524555188 ;\n", + "Epoch 630/1000, Cost: 2.4809\n", + " and the parameters are [-2.92398066 3.96266079] -5.185738742421594 ;\n", + "Epoch 630/1000, Cost: 2.6552\n", + " and the parameters are [-2.92393942 3.9626649 ] -5.185779566791471 ;\n", + "Epoch 630/1000, Cost: 2.1903\n", + " and the parameters are [-2.9239358 3.96260532] -5.1858549193526216 ;\n", + "Epoch 630/1000, Cost: 4.2313\n", + " and the parameters are [-2.92397799 3.96262704] -5.185828368367869 ;\n", + "Epoch 630/1000, Cost: 2.8522\n", + " and the parameters are [-2.9239971 3.96271715] -5.185776454270686 ;\n", + "Epoch 630/1000, Cost: 1.1809\n", + " and the parameters are [-2.92400987 3.96271187] -5.185796852405832 ;\n", + "Epoch 630/1000, Cost: 3.1554\n", + " and the parameters are [-2.92405305 3.96260993] -5.1858816401986205 ;\n", + "Epoch 630/1000, Cost: 5.5318\n", + " and the parameters are [-2.92405184 3.96259606] -5.185893173157357 ;\n", + "Epoch 630/1000, Cost: 5.8225\n", + " and the parameters are [-2.92411373 3.96255164] -5.1858883767428 ;\n", + "Epoch 630/1000, Cost: 2.4980\n", + " and the parameters are [-2.9240973 3.96249708] -5.185961329797667 ;\n", + "Epoch 630/1000, Cost: 4.7428\n", + " and the parameters are [-2.92424491 3.96236514] -5.186001859601691 ;\n", + "Epoch 630/1000, Cost: 1.9055\n", + " and the parameters are [-2.92427092 3.96235779] -5.186019017823229 ;\n", + "Epoch 630/1000, Cost: 4.3569\n", + " and the parameters are [-2.92431096 3.96224128] -5.186101755892253 ;\n", + "Epoch 630/1000, Cost: 3.2406\n", + " and the parameters are [-2.92435333 3.96223091] -5.186099758898172 ;\n", + "Epoch 630/1000, Cost: 2.2906\n", + " and the parameters are [-2.9242684 3.96229581] -5.186128799008807 ;\n", + "Epoch 630/1000, Cost: 3.5199\n", + " and the parameters are [-2.92419983 3.96230278] -5.186183453355108 ;\n", + "Epoch 630/1000, Cost: 3.5884\n", + " and the parameters are [-2.92416347 3.96222899] -5.186277418229288 ;\n", + "Epoch 630/1000, Cost: 2.8185\n", + " and the parameters are [-2.92416865 3.9623188 ] -5.18623027880123 ;\n", + "Epoch 630/1000, Cost: 1.4633\n", + " and the parameters are [-2.92416631 3.96230257] -5.18627513673498 ;\n", + "Epoch 630/1000, Cost: 2.7579\n", + " and the parameters are [-2.92421201 3.96238098] -5.186214711302987 ;\n", + "Epoch 630/1000, Cost: 1.8423\n", + " and the parameters are [-2.9242346 3.96237496] -5.186231218279233 ;\n", + "Epoch 630/1000, Cost: 4.2243\n", + " and the parameters are [-2.92418792 3.96247911] -5.186168877793731 ;\n", + "Epoch 630/1000, Cost: 2.8321\n", + " and the parameters are [-2.92425084 3.96239972] -5.186234476360424 ;\n", + "Epoch 630/1000, Cost: 5.9169\n", + " and the parameters are [-2.92422586 3.96247807] -5.1861986862932135 ;\n", + "Epoch 630/1000, Cost: 2.4542\n", + " and the parameters are [-2.92429413 3.96241619] -5.18624207897913 ;\n", + "Epoch 630/1000, Cost: 6.5453\n", + " and the parameters are [-2.92421571 3.96248322] -5.186228393634035 ;\n", + "Epoch 630/1000, Cost: 2.1464\n", + " and the parameters are [-2.92426505 3.96242074] -5.186272458120848 ;\n", + "Epoch 630/1000, Cost: 2.4661\n", + " and the parameters are [-2.92430747 3.96236555] -5.186329156260435 ;\n", + "Epoch 630/1000, Cost: 1.6284\n", + " and the parameters are [-2.92435741 3.9623746 ] -5.186327995086996 ;\n", + "Epoch 630/1000, Cost: 1.8265\n", + " and the parameters are [-2.92433124 3.96238402] -5.186362166967395 ;\n", + "Epoch 630/1000, Cost: 1.7309\n", + " and the parameters are [-2.9243238 3.96246119] -5.186335820165466 ;\n", + "Epoch 630/1000, Cost: 0.8730\n", + " and the parameters are [-2.92432616 3.96249414] -5.186331001131833 ;\n", + "Epoch 630/1000, Cost: 3.2902\n", + " and the parameters are [-2.92431867 3.96249697] -5.1863619534656715 ;\n", + "Epoch 630/1000, Cost: 2.8366\n", + " and the parameters are [-2.9243738 3.96250642] -5.1863524613044225 ;\n", + "Epoch 630/1000, Cost: 2.1117\n", + " and the parameters are [-2.92432632 3.96256687] -5.186366892026928 ;\n", + "Epoch 630/1000, Cost: 1.9510\n", + " and the parameters are [-2.924337 3.96253764] -5.18641747876513 ;\n", + "Epoch 630/1000, Cost: 1.9660\n", + " and the parameters are [-2.9243295 3.96255764] -5.1864367693244535 ;\n", + "Epoch 630/1000, Cost: 3.0916\n", + " and the parameters are [-2.92440382 3.96256579] -5.186416897456272 ;\n", + "Epoch 630/1000, Cost: 4.1627\n", + " and the parameters are [-2.92446971 3.9625753 ] -5.1863787343764 ;\n", + "Epoch 630/1000, Cost: 2.2798\n", + " and the parameters are [-2.92445362 3.96269801] -5.186315920746395 ;\n", + "Epoch 630/1000, Cost: 3.0853\n", + " and the parameters are [-2.92447252 3.96271949] -5.186321831235957 ;\n", + "Epoch 630/1000, Cost: 1.3960\n", + " and the parameters are [-2.92445812 3.96270093] -5.186372071704062 ;\n", + "Epoch 630/1000, Cost: 0.9090\n", + " and the parameters are [-2.92443605 3.96276842] -5.186354081068482 ;\n", + "Epoch 630/1000, Cost: 2.0372\n", + " and the parameters are [-2.92443298 3.96286727] -5.1863117761967485 ;\n", + "Epoch 630/1000, Cost: 1.4641\n", + " and the parameters are [-2.92442887 3.96296218] -5.186267975816844 ;\n", + "Epoch 630/1000, Cost: 3.5036\n", + " and the parameters are [-2.92454833 3.96278654] -5.186359284213255 ;\n", + "Epoch 630/1000, Cost: 3.9357\n", + " and the parameters are [-2.92457937 3.96270896] -5.1864259584335715 ;\n", + "Epoch 630/1000, Cost: 2.6271\n", + " and the parameters are [-2.92454386 3.96271639] -5.186472951782396 ;\n", + "Epoch 630/1000, Cost: 3.0005\n", + " and the parameters are [-2.92451199 3.96265245] -5.18656637467298 ;\n", + "Epoch 630/1000, Cost: 2.8445\n", + " and the parameters are [-2.92458228 3.96261402] -5.18657929495768 ;\n", + "Epoch 630/1000, Cost: 3.8256\n", + " and the parameters are [-2.92449219 3.96266501] -5.186615304264384 ;\n", + "Epoch 630/1000, Cost: 3.0465\n", + " and the parameters are [-2.92453551 3.96265928] -5.1866057367553875 ;\n", + "Epoch 630/1000, Cost: 2.2349\n", + " and the parameters are [-2.92449254 3.96264329] -5.18666431716391 ;\n", + "Epoch 630/1000, Cost: 4.0037\n", + " and the parameters are [-2.92456246 3.96266531] -5.186636489090338 ;\n", + "Epoch 630/1000, Cost: 2.0619\n", + " and the parameters are [-2.92453676 3.96264702] -5.186690744683614 ;\n", + "Epoch 630/1000, Cost: 6.7166\n", + " and the parameters are [-2.92458024 3.96255286] -5.1867325693289805 ;\n", + "Epoch 630/1000, Cost: 1.5163\n", + " and the parameters are [-2.92455077 3.96259059] -5.1867436222161185 ;\n", + "Epoch 630/1000, Cost: 2.1548\n", + " and the parameters are [-2.92454234 3.96266135] -5.186726214992211 ;\n", + "Epoch 630/1000, Cost: 3.7749\n", + " and the parameters are [-2.92447879 3.96277171] -5.186706303572358 ;\n", + "Epoch 630/1000, Cost: 5.0939\n", + " and the parameters are [-2.92443834 3.96279777] -5.186730741824388 ;\n", + "Epoch 630/1000, Cost: 5.3390\n", + " and the parameters are [-2.92452989 3.9626142 ] -5.186809981522034 ;\n", + "Epoch 630/1000, Cost: 1.9110\n", + " and the parameters are [-2.92450937 3.96269819] -5.186788913268843 ;\n", + "Epoch 630/1000, Cost: 1.2359\n", + " and the parameters are [-2.92453942 3.96270194] -5.186793259839425 ;\n", + "Epoch 630/1000, Cost: 2.2460\n", + " and the parameters are [-2.92455801 3.96263102] -5.1868550137128215 ;\n", + "Epoch 630/1000, Cost: 5.4832\n", + " and the parameters are [-2.92457842 3.96266628] -5.186823407007232 ;\n", + "Epoch 630/1000, Cost: 3.9744\n", + " and the parameters are [-2.92458477 3.96283264] -5.186732893183446 ;\n", + "Epoch 630/1000, Cost: 2.8536\n", + " and the parameters are [-2.92459561 3.96281195] -5.186763075058329 ;\n", + "Epoch 630/1000, Cost: 3.3712\n", + " and the parameters are [-2.92463355 3.96285892] -5.18672941566198 ;\n", + "Epoch 630/1000, Cost: 2.3662\n", + " and the parameters are [-2.92457392 3.9629606 ] -5.186710620684227 ;\n", + "Epoch 630/1000, Cost: 4.7630\n", + " and the parameters are [-2.92451508 3.96301378] -5.186720447346885 ;\n", + "Epoch 630/1000, Cost: 3.4598\n", + " and the parameters are [-2.92454711 3.96300364] -5.186739505190931 ;\n", + "Epoch 630/1000, Cost: 1.1405\n", + " and the parameters are [-2.92455473 3.96300344] -5.18676163875829 ;\n", + "Epoch 630/1000, Cost: 1.7481\n", + " and the parameters are [-2.9245514 3.96304915] -5.186750008892125 ;\n", + "Epoch 630/1000, Cost: 1.3127\n", + " and the parameters are [-2.92453184 3.96307004] -5.186774971660666 ;\n", + "Epoch 630/1000, Cost: 7.2241\n", + " and the parameters are [-2.92451098 3.96303395] -5.186797839805227 ;\n", + "Epoch 630/1000, Cost: 3.0348\n", + " and the parameters are [-2.92439344 3.9630581 ] -5.186856536677969 ;\n", + "Epoch 630/1000, Cost: 4.4393\n", + " and the parameters are [-2.92446832 3.96307997] -5.186824565171142 ;\n", + "Epoch 630/1000, Cost: 4.9219\n", + " and the parameters are [-2.92449595 3.96293466] -5.186922993880364 ;\n", + "Epoch 630/1000, Cost: 3.0923\n", + " and the parameters are [-2.92443269 3.96306949] -5.186879065335686 ;\n", + "Epoch 630/1000, Cost: 4.3836\n", + " and the parameters are [-2.92449509 3.96300031] -5.186912970495755 ;\n", + "Epoch 630/1000, Cost: 1.2028\n", + " and the parameters are [-2.92451367 3.96303507] -5.186900549871466 ;\n", + "Epoch 630/1000, Cost: 1.9772\n", + " and the parameters are [-2.92450461 3.96314901] -5.186843430713811 ;\n", + "Epoch 630/1000, Cost: 3.3031\n", + " and the parameters are [-2.92450808 3.96308345] -5.1869183592751105 ;\n", + "Epoch 630/1000, Cost: 1.4138\n", + " and the parameters are [-2.92451066 3.96306239] -5.18695886179725 ;\n", + "Epoch 630/1000, Cost: 0.6811\n", + " and the parameters are [-2.92451982 3.96306967] -5.186969349381089 ;\n", + "Epoch 630/1000, Cost: 2.3341\n", + " and the parameters are [-2.92451864 3.96304557] -5.187019153091742 ;\n", + "Epoch 630/1000, Cost: 0.8763\n", + " and the parameters are [-2.92453582 3.96308347] -5.187003070162377 ;\n", + "Epoch 630/1000, Cost: 1.5532\n", + " and the parameters are [-2.9245306 3.96317415] -5.186969412960152 ;\n", + "Epoch 630/1000, Cost: 2.5047\n", + " and the parameters are [-2.92451574 3.96322639] -5.186977648477435 ;\n", + "Epoch 630/1000, Cost: 1.0969\n", + " and the parameters are [-2.92453753 3.96320084] -5.187011168672906 ;\n", + "Epoch 630/1000, Cost: 1.8117\n", + " and the parameters are [-2.92454549 3.96324861] -5.186980803755555 ;\n", + "Epoch 630/1000, Cost: 3.9704\n", + " and the parameters are [-2.9246093 3.96311443] -5.1870689560333 ;\n", + "Epoch 630/1000, Cost: 3.1548\n", + " and the parameters are [-2.92462091 3.96321418] -5.187010395730123 ;\n", + "Epoch 630/1000, Cost: 3.1467\n", + " and the parameters are [-2.92463401 3.96329914] -5.186964004271747 ;\n", + "Epoch 630/1000, Cost: 2.1795\n", + " and the parameters are [-2.92467533 3.96322006] -5.187022427280214 ;\n", + "Epoch 630/1000, Cost: 1.4249\n", + " and the parameters are [-2.92465127 3.96326018] -5.187035145762837 ;\n", + "Epoch 630/1000, Cost: 1.1854\n", + " and the parameters are [-2.92462684 3.96326858] -5.187066125020537 ;\n", + "Epoch 630/1000, Cost: 2.8614\n", + " and the parameters are [-2.92463123 3.96326553] -5.187095676648295 ;\n", + "Epoch 630/1000, Cost: 3.4957\n", + " and the parameters are [-2.92461154 3.96328281] -5.187122259253485 ;\n", + "Epoch 630/1000, Cost: 1.8662\n", + " and the parameters are [-2.92460823 3.96337874] -5.187080317621794 ;\n", + "Epoch 630/1000, Cost: 0.7114\n", + " and the parameters are [-2.92458724 3.96342433] -5.1870729730630325 ;\n", + "Epoch 630/1000, Cost: 10.0836\n", + " and the parameters are [-2.92455326 3.96334506] -5.18709924472787 ;\n", + "Epoch 630/1000, Cost: 2.4914\n", + " and the parameters are [-2.92453645 3.9634365 ] -5.187071718038087 ;\n", + "Epoch 630/1000, Cost: 5.6406\n", + " and the parameters are [-2.92455201 3.96338487] -5.187115363649861 ;\n", + "Epoch 630/1000, Cost: 3.7002\n", + " and the parameters are [-2.92453653 3.96351062] -5.187036529598345 ;\n", + "Epoch 630/1000, Cost: 1.9655\n", + " and the parameters are [-2.92453572 3.96345926] -5.187092315766725 ;\n", + "Epoch 630/1000, Cost: 6.9598\n", + " and the parameters are [-2.92456945 3.96345831] -5.187077136081343 ;\n", + "Epoch 630/1000, Cost: 6.4966\n", + " and the parameters are [-2.92454748 3.96348106] -5.187061702636531 ;\n", + "Epoch 630/1000, Cost: 1.0480\n", + " and the parameters are [-2.9245673 3.96344927] -5.187092078433252 ;\n", + "Epoch 630/1000, Cost: 2.6158\n", + " and the parameters are [-2.92459343 3.96339403] -5.18715219298547 ;\n", + "Epoch 630/1000, Cost: 4.9519\n", + " and the parameters are [-2.92479168 3.96327841] -5.18713375946779 ;\n", + "Epoch 630/1000, Cost: 7.0318\n", + " and the parameters are [-2.92481204 3.96319328] -5.187161482649587 ;\n", + "Epoch 630/1000, Cost: 5.0776\n", + " and the parameters are [-2.92467343 3.96318446] -5.187240504018018 ;\n", + "Epoch 630/1000, Cost: 2.2256\n", + " and the parameters are [-2.92473817 3.96319788] -5.187214536517759 ;\n", + "Epoch 630/1000, Cost: 6.6936\n", + " and the parameters are [-2.92485912 3.96296478] -5.187317870635702 ;\n", + "Epoch 630/1000, Cost: 3.5977\n", + " and the parameters are [-2.92488325 3.96293928] -5.187358008265042 ;\n", + "Epoch 630/1000, Cost: 6.0016\n", + " and the parameters are [-2.92489911 3.96291694] -5.187367166572349 ;\n", + "Epoch 630/1000, Cost: 2.0075\n", + " and the parameters are [-2.9249158 3.96300266] -5.187317936240016 ;\n", + "Epoch 630/1000, Cost: 3.1507\n", + " and the parameters are [-2.92488128 3.96310043] -5.1872966592220715 ;\n", + "Epoch 630/1000, Cost: 1.7885\n", + " and the parameters are [-2.92491664 3.96308736] -5.187309860378287 ;\n", + "Epoch 630/1000, Cost: 4.0089\n", + " and the parameters are [-2.92497442 3.96297463] -5.187377250397849 ;\n", + "Epoch 630/1000, Cost: 1.7232\n", + " and the parameters are [-2.92493156 3.96299486] -5.187418229067646 ;\n", + "Epoch 630/1000, Cost: 5.9758\n", + " and the parameters are [-2.92486103 3.96313819] -5.187351701593006 ;\n", + "Epoch 630/1000, Cost: 3.2482\n", + " and the parameters are [-2.92491065 3.96305811] -5.187406835048679 ;\n", + "Epoch 630/1000, Cost: 4.4629\n", + " and the parameters are [-2.92486048 3.96301603] -5.187474751787852 ;\n", + "Epoch 630/1000, Cost: 4.5563\n", + " and the parameters are [-2.92489038 3.96300505] -5.187472781817943 ;\n", + "Epoch 630/1000, Cost: 1.4418\n", + " and the parameters are [-2.92490656 3.96300689] -5.187484059036967 ;\n", + "Epoch 630/1000, Cost: 3.5803\n", + " and the parameters are [-2.92493073 3.96302232] -5.187488696160686 ;\n", + "Epoch 630/1000, Cost: 2.8933\n", + " and the parameters are [-2.92491481 3.96319654] -5.187390346609986 ;\n", + "Epoch 630/1000, Cost: 2.9844\n", + " and the parameters are [-2.92493635 3.96325655] -5.18736111876174 ;\n", + "Epoch 630/1000, Cost: 7.6609\n", + " and the parameters are [-2.92490034 3.9632153 ] -5.187377473338448 ;\n", + "Epoch 630/1000, Cost: 2.0314\n", + " and the parameters are [-2.9249367 3.96318551] -5.187407747940369 ;\n", + "Epoch 630/1000, Cost: 2.6291\n", + " and the parameters are [-2.92497112 3.96322721] -5.18738391419309 ;\n", + "Epoch 630/1000, Cost: 3.2982\n", + " and the parameters are [-2.92502111 3.96333006] -5.187302394677461 ;\n", + "Epoch 640/1000, Cost: 7.8151\n", + " and the parameters are [-2.93642267 3.97744815] -5.207475131218999 ;\n", + "Epoch 640/1000, Cost: 4.3290\n", + " and the parameters are [-2.93638899 3.97748183] -5.207488988595633 ;\n", + "Epoch 640/1000, Cost: 2.9702\n", + " and the parameters are [-2.93646437 3.97740629] -5.207532743547741 ;\n", + "Epoch 640/1000, Cost: 2.1761\n", + " and the parameters are [-2.9364374 3.97748609] -5.207520385509447 ;\n", + "Epoch 640/1000, Cost: 3.2435\n", + " and the parameters are [-2.93641195 3.97748636] -5.207555130252363 ;\n", + "Epoch 640/1000, Cost: 0.8934\n", + " and the parameters are [-2.93641957 3.97749042] -5.207572861513419 ;\n", + "Epoch 640/1000, Cost: 1.7744\n", + " and the parameters are [-2.93638151 3.97756477] -5.20755885106008 ;\n", + "Epoch 640/1000, Cost: 1.5574\n", + " and the parameters are [-2.93637648 3.97760957] -5.207542381201523 ;\n", + "Epoch 640/1000, Cost: 1.3597\n", + " and the parameters are [-2.93637552 3.9775804 ] -5.207585782581907 ;\n", + "Epoch 640/1000, Cost: 2.3342\n", + " and the parameters are [-2.93638167 3.97757487] -5.207613721330611 ;\n", + "Epoch 640/1000, Cost: 3.8728\n", + " and the parameters are [-2.93635453 3.97758466] -5.207634790323314 ;\n", + "Epoch 640/1000, Cost: 2.4242\n", + " and the parameters are [-2.9363965 3.97763658] -5.2075960834674415 ;\n", + "Epoch 640/1000, Cost: 1.0429\n", + " and the parameters are [-2.93641624 3.97763434] -5.207613450256574 ;\n", + "Epoch 640/1000, Cost: 1.6048\n", + " and the parameters are [-2.93646462 3.97762909] -5.207619450402537 ;\n", + "Epoch 640/1000, Cost: 1.7131\n", + " and the parameters are [-2.93646897 3.97763663] -5.207639110114042 ;\n", + "Epoch 640/1000, Cost: 3.1878\n", + " and the parameters are [-2.93655866 3.97755943] -5.207680722818696 ;\n", + "Epoch 640/1000, Cost: 3.6642\n", + " and the parameters are [-2.93653264 3.97751734] -5.207748396729251 ;\n", + "Epoch 640/1000, Cost: 2.5502\n", + " and the parameters are [-2.93656723 3.97744616] -5.207806950296625 ;\n", + "Epoch 640/1000, Cost: 4.3949\n", + " and the parameters are [-2.93655323 3.97744227] -5.207840846919129 ;\n", + "Epoch 640/1000, Cost: 2.0808\n", + " and the parameters are [-2.93652475 3.97755661] -5.2077878325324045 ;\n", + "Epoch 640/1000, Cost: 1.9095\n", + " and the parameters are [-2.93656082 3.97752267] -5.2078120895604805 ;\n", + "Epoch 640/1000, Cost: 7.2811\n", + " and the parameters are [-2.9365977 3.97744729] -5.207829395006129 ;\n", + "Epoch 640/1000, Cost: 0.8398\n", + " and the parameters are [-2.93659438 3.97746933] -5.207838574169883 ;\n", + "Epoch 640/1000, Cost: 2.5499\n", + " and the parameters are [-2.93668006 3.97744383] -5.207840211326954 ;\n", + "Epoch 640/1000, Cost: 3.7325\n", + " and the parameters are [-2.93660626 3.97752174] -5.207840950469571 ;\n", + "Epoch 640/1000, Cost: 3.8271\n", + " and the parameters are [-2.93666028 3.97756107] -5.207810128692283 ;\n", + "Epoch 640/1000, Cost: 2.5861\n", + " and the parameters are [-2.93663481 3.97766968] -5.207782908116021 ;\n", + "Epoch 640/1000, Cost: 3.8095\n", + " and the parameters are [-2.93650144 3.97773281] -5.207832029512124 ;\n", + "Epoch 640/1000, Cost: 3.5227\n", + " and the parameters are [-2.93653146 3.97762548] -5.207918195862048 ;\n", + "Epoch 640/1000, Cost: 2.6996\n", + " and the parameters are [-2.93648086 3.97774742] -5.207887350042947 ;\n", + "Epoch 640/1000, Cost: 2.6582\n", + " and the parameters are [-2.93650532 3.9778037 ] -5.2078450459533885 ;\n", + "Epoch 640/1000, Cost: 5.4598\n", + " and the parameters are [-2.93657021 3.97764126] -5.2079406015183265 ;\n", + "Epoch 640/1000, Cost: 2.6418\n", + " and the parameters are [-2.93653314 3.97765771] -5.207974529589857 ;\n", + "Epoch 640/1000, Cost: 1.3426\n", + " and the parameters are [-2.93655495 3.97769779] -5.2079566487845845 ;\n", + "Epoch 640/1000, Cost: 0.7796\n", + " and the parameters are [-2.93655661 3.97773166] -5.20795191640378 ;\n", + "Epoch 640/1000, Cost: 4.2278\n", + " and the parameters are [-2.93659991 3.97779105] -5.207899310884586 ;\n", + "Epoch 640/1000, Cost: 3.7013\n", + " and the parameters are [-2.93658439 3.97788267] -5.207853353727639 ;\n", + "Epoch 640/1000, Cost: 1.3385\n", + " and the parameters are [-2.93656754 3.97791069] -5.207872617606182 ;\n", + "Epoch 640/1000, Cost: 2.2029\n", + " and the parameters are [-2.93661912 3.97787954] -5.207893902297007 ;\n", + "Epoch 640/1000, Cost: 1.3241\n", + " and the parameters are [-2.93665161 3.97783934] -5.207932958699569 ;\n", + "Epoch 640/1000, Cost: 0.9787\n", + " and the parameters are [-2.93665008 3.97787929] -5.207930688874343 ;\n", + "Epoch 640/1000, Cost: 1.6067\n", + " and the parameters are [-2.93665122 3.97789848] -5.207945814529571 ;\n", + "Epoch 640/1000, Cost: 4.5810\n", + " and the parameters are [-2.93662288 3.97791134] -5.207979165932554 ;\n", + "Epoch 640/1000, Cost: 6.7613\n", + " and the parameters are [-2.93667085 3.97777595] -5.208056215148886 ;\n", + "Epoch 640/1000, Cost: 3.0204\n", + " and the parameters are [-2.93664068 3.97783205] -5.208050154045151 ;\n", + "Epoch 640/1000, Cost: 3.8393\n", + " and the parameters are [-2.93662595 3.97778048] -5.208119869344477 ;\n", + "Epoch 640/1000, Cost: 1.8581\n", + " and the parameters are [-2.93668547 3.97772328] -5.2081558835822985 ;\n", + "Epoch 640/1000, Cost: 3.4247\n", + " and the parameters are [-2.93669937 3.97782064] -5.208108751950196 ;\n", + "Epoch 640/1000, Cost: 6.0431\n", + " and the parameters are [-2.93668704 3.97765676] -5.2082268906790965 ;\n", + "Epoch 640/1000, Cost: 2.1612\n", + " and the parameters are [-2.93668074 3.97772495] -5.208219884652813 ;\n", + "Epoch 640/1000, Cost: 2.7190\n", + " and the parameters are [-2.93669179 3.97769215] -5.208271012485206 ;\n", + "Epoch 640/1000, Cost: 2.9328\n", + " and the parameters are [-2.93670195 3.97764457] -5.208338575916541 ;\n", + "Epoch 640/1000, Cost: 3.9617\n", + " and the parameters are [-2.93669193 3.97755816] -5.20840627698813 ;\n", + "Epoch 640/1000, Cost: 1.4943\n", + " and the parameters are [-2.9367072 3.97756604] -5.20841715385837 ;\n", + "Epoch 640/1000, Cost: 7.1726\n", + " and the parameters are [-2.93671755 3.97742739] -5.208502814384009 ;\n", + "Epoch 640/1000, Cost: 1.3132\n", + " and the parameters are [-2.93672883 3.97750479] -5.208467192896275 ;\n", + "Epoch 640/1000, Cost: 3.5047\n", + " and the parameters are [-2.93674352 3.97759823] -5.208400623437541 ;\n", + "Epoch 640/1000, Cost: 8.3917\n", + " and the parameters are [-2.9366164 3.97770421] -5.208363097973681 ;\n", + "Epoch 640/1000, Cost: 3.0919\n", + " and the parameters are [-2.93665889 3.97764783] -5.208410886317975 ;\n", + "Epoch 640/1000, Cost: 3.2815\n", + " and the parameters are [-2.93664754 3.97778986] -5.208327640206147 ;\n", + "Epoch 640/1000, Cost: 3.7079\n", + " and the parameters are [-2.93662371 3.97791314] -5.208271042915583 ;\n", + "Epoch 640/1000, Cost: 1.2123\n", + " and the parameters are [-2.93660967 3.97794141] -5.2082857718181845 ;\n", + "Epoch 640/1000, Cost: 2.5825\n", + " and the parameters are [-2.93661285 3.97804495] -5.208240770736972 ;\n", + "Epoch 640/1000, Cost: 4.9255\n", + " and the parameters are [-2.93675978 3.97800644] -5.208196697507242 ;\n", + "Epoch 640/1000, Cost: 2.3694\n", + " and the parameters are [-2.93679755 3.97802372] -5.2081903057242505 ;\n", + "Epoch 640/1000, Cost: 3.6568\n", + " and the parameters are [-2.93678676 3.97803707] -5.20821174092588 ;\n", + "Epoch 640/1000, Cost: 3.4846\n", + " and the parameters are [-2.93674155 3.97799914] -5.208281664666476 ;\n", + "Epoch 640/1000, Cost: 1.6791\n", + " and the parameters are [-2.93679957 3.97804572] -5.208229197787971 ;\n", + "Epoch 640/1000, Cost: 1.0682\n", + " and the parameters are [-2.93679357 3.97805021] -5.208253545659849 ;\n", + "Epoch 640/1000, Cost: 3.5493\n", + " and the parameters are [-2.93673071 3.97807771] -5.208303173581613 ;\n", + "Epoch 640/1000, Cost: 4.4018\n", + " and the parameters are [-2.93680957 3.97797818] -5.20834590639442 ;\n", + "Epoch 640/1000, Cost: 2.2666\n", + " and the parameters are [-2.9368068 3.97793964] -5.208398130662537 ;\n", + "Epoch 640/1000, Cost: 1.9036\n", + " and the parameters are [-2.93677273 3.97795789] -5.208434951194009 ;\n", + "Epoch 640/1000, Cost: 2.7384\n", + " and the parameters are [-2.93683229 3.97789209] -5.208481720354197 ;\n", + "Epoch 640/1000, Cost: 3.4347\n", + " and the parameters are [-2.9368488 3.97801639] -5.208383263317197 ;\n", + "Epoch 640/1000, Cost: 3.5927\n", + " and the parameters are [-2.9368864 3.97800838] -5.208377484184252 ;\n", + "Epoch 640/1000, Cost: 2.3702\n", + " and the parameters are [-2.93690375 3.97792598] -5.208439123166512 ;\n", + "Epoch 640/1000, Cost: 3.3489\n", + " and the parameters are [-2.93689516 3.97806785] -5.208369990725742 ;\n", + "Epoch 640/1000, Cost: 3.4566\n", + " and the parameters are [-2.93688683 3.97809904] -5.208372821853905 ;\n", + "Epoch 640/1000, Cost: 1.4747\n", + " and the parameters are [-2.93688848 3.9781637 ] -5.208350496621453 ;\n", + "Epoch 640/1000, Cost: 3.8195\n", + " and the parameters are [-2.9368254 3.97816839] -5.2084116023769145 ;\n", + "Epoch 640/1000, Cost: 2.3973\n", + " and the parameters are [-2.93679809 3.97812675] -5.20847171335122 ;\n", + "Epoch 640/1000, Cost: 2.1798\n", + " and the parameters are [-2.93682319 3.9781736 ] -5.20845965235457 ;\n", + "Epoch 640/1000, Cost: 2.3031\n", + " and the parameters are [-2.93682577 3.9781437 ] -5.208504710318201 ;\n", + "Epoch 640/1000, Cost: 1.5631\n", + " and the parameters are [-2.93681655 3.97821681] -5.208476240837157 ;\n", + "Epoch 640/1000, Cost: 3.4419\n", + " and the parameters are [-2.93683186 3.97819849] -5.208519336626124 ;\n", + "Epoch 640/1000, Cost: 5.2705\n", + " and the parameters are [-2.93690523 3.97806354] -5.208590605483743 ;\n", + "Epoch 640/1000, Cost: 3.3665\n", + " and the parameters are [-2.93686647 3.97817336] -5.208539657413816 ;\n", + "Epoch 640/1000, Cost: 7.6831\n", + " and the parameters are [-2.93680115 3.97821624] -5.20854405840089 ;\n", + "Epoch 640/1000, Cost: 4.5369\n", + " and the parameters are [-2.93673223 3.9782632 ] -5.208540648190425 ;\n", + "Epoch 640/1000, Cost: 3.4623\n", + " and the parameters are [-2.93678925 3.97817081] -5.2086132543913415 ;\n", + "Epoch 640/1000, Cost: 1.8194\n", + " and the parameters are [-2.9367955 3.97816864] -5.20863107176418 ;\n", + "Epoch 640/1000, Cost: 6.2520\n", + " and the parameters are [-2.93673682 3.97820415] -5.208633709784346 ;\n", + "Epoch 640/1000, Cost: 2.0196\n", + " and the parameters are [-2.9367633 3.97816219] -5.208670093840419 ;\n", + "Epoch 640/1000, Cost: 2.5995\n", + " and the parameters are [-2.93683711 3.97813039] -5.208685729897193 ;\n", + "Epoch 640/1000, Cost: 1.0449\n", + " and the parameters are [-2.9368586 3.97814327] -5.208690891369546 ;\n", + "Epoch 640/1000, Cost: 4.2662\n", + " and the parameters are [-2.93684124 3.97816198] -5.20871301556259 ;\n", + "Epoch 640/1000, Cost: 3.1626\n", + " and the parameters are [-2.93680889 3.97815496] -5.208762286523223 ;\n", + "Epoch 640/1000, Cost: 1.1339\n", + " and the parameters are [-2.9367878 3.97819722] -5.208768126169444 ;\n", + "Epoch 640/1000, Cost: 2.3637\n", + " and the parameters are [-2.93676617 3.97826065] -5.208765312711524 ;\n", + "Epoch 640/1000, Cost: 3.6919\n", + " and the parameters are [-2.93678519 3.97825067] -5.208793026819176 ;\n", + "Epoch 640/1000, Cost: 2.5980\n", + " and the parameters are [-2.9367305 3.97834556] -5.208766479703734 ;\n", + "Epoch 640/1000, Cost: 2.9454\n", + " and the parameters are [-2.93672212 3.97836409] -5.208789627055736 ;\n", + "Epoch 640/1000, Cost: 5.9935\n", + " and the parameters are [-2.93671467 3.97832303] -5.20883314418394 ;\n", + "Epoch 640/1000, Cost: 1.3102\n", + " and the parameters are [-2.93672393 3.9782985 ] -5.20887213834765 ;\n", + "Epoch 640/1000, Cost: 5.7873\n", + " and the parameters are [-2.93664173 3.978286 ] -5.20893119810733 ;\n", + "Epoch 640/1000, Cost: 0.5408\n", + " and the parameters are [-2.93662326 3.97829784] -5.208947570354365 ;\n", + "Epoch 640/1000, Cost: 1.3924\n", + " and the parameters are [-2.93667765 3.97830906] -5.208935240449863 ;\n", + "Epoch 640/1000, Cost: 1.7220\n", + " and the parameters are [-2.9366856 3.97831697] -5.208957799304643 ;\n", + "Epoch 640/1000, Cost: 3.9089\n", + " and the parameters are [-2.93667573 3.97828426] -5.2090004658170805 ;\n", + "Epoch 640/1000, Cost: 3.3931\n", + " and the parameters are [-2.93670517 3.97833647] -5.2089596110184715 ;\n", + "Epoch 640/1000, Cost: 2.7958\n", + " and the parameters are [-2.93665816 3.97839815] -5.208969113001131 ;\n", + "Epoch 640/1000, Cost: 1.9122\n", + " and the parameters are [-2.93664439 3.97848296] -5.208934270243329 ;\n", + "Epoch 640/1000, Cost: 2.4441\n", + " and the parameters are [-2.93670828 3.97842277] -5.208968073606986 ;\n", + "Epoch 640/1000, Cost: 2.6356\n", + " and the parameters are [-2.93671634 3.97840815] -5.209005884191986 ;\n", + "Epoch 640/1000, Cost: 4.0491\n", + " and the parameters are [-2.93688567 3.97829466] -5.209000693109646 ;\n", + "Epoch 640/1000, Cost: 4.9516\n", + " and the parameters are [-2.93681158 3.97838059] -5.208989449531793 ;\n", + "Epoch 640/1000, Cost: 2.9127\n", + " and the parameters are [-2.93675114 3.97842674] -5.209014661852554 ;\n", + "Epoch 640/1000, Cost: 5.7877\n", + " and the parameters are [-2.93662818 3.9784561 ] -5.209058714697363 ;\n", + "Epoch 640/1000, Cost: 1.7889\n", + " and the parameters are [-2.93663995 3.97843043] -5.209099894460326 ;\n", + "Epoch 640/1000, Cost: 2.4779\n", + " and the parameters are [-2.93660548 3.97849371] -5.209082854353175 ;\n", + "Epoch 640/1000, Cost: 5.3099\n", + " and the parameters are [-2.93663125 3.97863273] -5.208970118969081 ;\n", + "Epoch 640/1000, Cost: 2.7734\n", + " and the parameters are [-2.93658891 3.97870094] -5.208974754981796 ;\n", + "Epoch 640/1000, Cost: 1.3862\n", + " and the parameters are [-2.93661493 3.97876449] -5.208938470635875 ;\n", + "Epoch 640/1000, Cost: 4.8684\n", + " and the parameters are [-2.93664919 3.97873695] -5.208949367011071 ;\n", + "Epoch 640/1000, Cost: 4.1274\n", + " and the parameters are [-2.9367127 3.97873961] -5.208931179532928 ;\n", + "Epoch 640/1000, Cost: 2.6153\n", + " and the parameters are [-2.93673481 3.97874521] -5.208948047802577 ;\n", + "Epoch 640/1000, Cost: 1.4452\n", + " and the parameters are [-2.93674424 3.9787991 ] -5.208930888701356 ;\n", + "Epoch 640/1000, Cost: 3.3225\n", + " and the parameters are [-2.93667858 3.97884935] -5.208960350114905 ;\n", + "Epoch 640/1000, Cost: 2.1647\n", + " and the parameters are [-2.93674353 3.97878331] -5.208997686648772 ;\n", + "Epoch 640/1000, Cost: 1.5856\n", + " and the parameters are [-2.93676402 3.97881486] -5.208988701377252 ;\n", + "Epoch 640/1000, Cost: 2.7481\n", + " and the parameters are [-2.93677515 3.97879398] -5.209021980104586 ;\n", + "Epoch 640/1000, Cost: 6.4501\n", + " and the parameters are [-2.93674848 3.97889366] -5.20897060357208 ;\n", + "Epoch 640/1000, Cost: 1.5049\n", + " and the parameters are [-2.93676265 3.97891233] -5.208979530984597 ;\n", + "Epoch 640/1000, Cost: 5.0575\n", + " and the parameters are [-2.93685583 3.97878733] -5.209049870089399 ;\n", + "Epoch 640/1000, Cost: 1.3771\n", + " and the parameters are [-2.93688005 3.97884678] -5.209015302371522 ;\n", + "Epoch 640/1000, Cost: 5.3634\n", + " and the parameters are [-2.93695441 3.97876372] -5.2090511312175085 ;\n", + "Epoch 640/1000, Cost: 1.2692\n", + " and the parameters are [-2.9369567 3.97881915] -5.209039377843437 ;\n", + "Epoch 640/1000, Cost: 2.0430\n", + " and the parameters are [-2.93699678 3.97885203] -5.2090111223156885 ;\n", + "Epoch 640/1000, Cost: 3.9685\n", + " and the parameters are [-2.93701492 3.9789029 ] -5.208963176165728 ;\n", + "Epoch 640/1000, Cost: 8.0198\n", + " and the parameters are [-2.93704045 3.97894724] -5.208893480305056 ;\n", + "Epoch 640/1000, Cost: 2.7864\n", + " and the parameters are [-2.93707067 3.97884426] -5.208963839348763 ;\n", + "Epoch 640/1000, Cost: 1.5927\n", + " and the parameters are [-2.93708839 3.97887129] -5.208967652186479 ;\n", + "Epoch 640/1000, Cost: 2.3523\n", + " and the parameters are [-2.9370955 3.97895291] -5.208917216991608 ;\n", + "Epoch 640/1000, Cost: 2.2171\n", + " and the parameters are [-2.93707563 3.97906914] -5.208864862245928 ;\n", + "Epoch 640/1000, Cost: 2.6054\n", + " and the parameters are [-2.93702272 3.97910844] -5.208889817803694 ;\n", + "Epoch 640/1000, Cost: 5.6423\n", + " and the parameters are [-2.93694766 3.9790312 ] -5.20899112216046 ;\n", + "Epoch 640/1000, Cost: 2.3330\n", + " and the parameters are [-2.9369952 3.97899794] -5.209010800621696 ;\n", + "Epoch 640/1000, Cost: 3.4465\n", + " and the parameters are [-2.93700084 3.9790142 ] -5.209014026360854 ;\n", + "Epoch 640/1000, Cost: 2.6384\n", + " and the parameters are [-2.93699703 3.9789884 ] -5.20905402153222 ;\n", + "Epoch 640/1000, Cost: 2.5953\n", + " and the parameters are [-2.93700258 3.97895484] -5.209097066583102 ;\n", + "Epoch 640/1000, Cost: 2.9996\n", + " and the parameters are [-2.93704801 3.97898909] -5.209065590142123 ;\n", + "Epoch 640/1000, Cost: 1.3185\n", + " and the parameters are [-2.9370666 3.97901689] -5.209061547953685 ;\n", + "Epoch 640/1000, Cost: 3.4521\n", + " and the parameters are [-2.93711981 3.97902082] -5.209052545811798 ;\n", + "Epoch 640/1000, Cost: 5.3966\n", + " and the parameters are [-2.93704817 3.97903653] -5.209100993552278 ;\n", + "Epoch 640/1000, Cost: 5.9536\n", + " and the parameters are [-2.93699407 3.97911333] -5.209067402348463 ;\n", + "Epoch 640/1000, Cost: 5.9686\n", + " and the parameters are [-2.93700918 3.9792565 ] -5.208958631577637 ;\n", + "Epoch 640/1000, Cost: 3.1145\n", + " and the parameters are [-2.93698045 3.97928075] -5.208974698641395 ;\n", + "Epoch 640/1000, Cost: 5.3450\n", + " and the parameters are [-2.93703932 3.97915258] -5.209070898181785 ;\n", + "Epoch 640/1000, Cost: 5.7126\n", + " and the parameters are [-2.93697816 3.9791045 ] -5.2091561270077085 ;\n", + "Epoch 640/1000, Cost: 2.5874\n", + " and the parameters are [-2.93694625 3.97906907] -5.209225590181582 ;\n", + "Epoch 640/1000, Cost: 2.3191\n", + " and the parameters are [-2.93695316 3.97910689] -5.20922116089979 ;\n", + "Epoch 640/1000, Cost: 2.6781\n", + " and the parameters are [-2.93699748 3.97902573] -5.209284990776338 ;\n", + "Epoch 640/1000, Cost: 1.6023\n", + " and the parameters are [-2.93698279 3.97906237] -5.209296864076525 ;\n", + "Epoch 640/1000, Cost: 3.9787\n", + " and the parameters are [-2.93700889 3.97892842] -5.209401753016167 ;\n", + "Epoch 640/1000, Cost: 6.7631\n", + " and the parameters are [-2.93707213 3.97889041] -5.209408900689054 ;\n", + "Epoch 640/1000, Cost: 2.6621\n", + " and the parameters are [-2.93709391 3.97887293] -5.209441266730247 ;\n", + "Epoch 640/1000, Cost: 2.2640\n", + " and the parameters are [-2.93709163 3.97887955] -5.209460209245737 ;\n", + "Epoch 640/1000, Cost: 1.4604\n", + " and the parameters are [-2.93711424 3.97891132] -5.209445393664468 ;\n", + "Epoch 640/1000, Cost: 3.9658\n", + " and the parameters are [-2.93708018 3.97895188] -5.209430797272479 ;\n", + "Epoch 640/1000, Cost: 2.6747\n", + " and the parameters are [-2.93705794 3.97899633] -5.209430382335321 ;\n", + "Epoch 640/1000, Cost: 4.9798\n", + " and the parameters are [-2.93718944 3.97876448] -5.2095456927262225 ;\n", + "Epoch 640/1000, Cost: 1.9437\n", + " and the parameters are [-2.93723352 3.97879424] -5.209525881459702 ;\n", + "Epoch 640/1000, Cost: 1.8841\n", + " and the parameters are [-2.9372792 3.97878653] -5.2095412950443 ;\n", + "Epoch 640/1000, Cost: 2.7102\n", + " and the parameters are [-2.93726815 3.97887345] -5.209500865688104 ;\n", + "Epoch 640/1000, Cost: 1.2898\n", + " and the parameters are [-2.93725088 3.9789117 ] -5.209506878421961 ;\n", + "Epoch 640/1000, Cost: 2.0501\n", + " and the parameters are [-2.93725301 3.97893742] -5.209510939652323 ;\n", + "Epoch 640/1000, Cost: 4.2896\n", + " and the parameters are [-2.93728193 3.97904914] -5.2094348272612265 ;\n", + "Epoch 640/1000, Cost: 1.4822\n", + " and the parameters are [-2.93728443 3.97911635] -5.209410300814735 ;\n", + "Epoch 640/1000, Cost: 2.2363\n", + " and the parameters are [-2.93737152 3.97903848] -5.20945491496387 ;\n", + "Epoch 640/1000, Cost: 3.1398\n", + " and the parameters are [-2.93736119 3.978989 ] -5.209506045874799 ;\n", + "Epoch 640/1000, Cost: 1.9769\n", + " and the parameters are [-2.93729996 3.97901856] -5.2095435958844805 ;\n", + "Epoch 640/1000, Cost: 1.7682\n", + " and the parameters are [-2.93732046 3.97903139] -5.209550682465241 ;\n", + "Epoch 640/1000, Cost: 3.9996\n", + " and the parameters are [-2.93736692 3.97910745] -5.209500232668648 ;\n", + "Epoch 640/1000, Cost: 0.9809\n", + " and the parameters are [-2.93739367 3.97908584] -5.209519909722751 ;\n", + "Epoch 640/1000, Cost: 3.9755\n", + " and the parameters are [-2.93738289 3.9790289 ] -5.209576423673578 ;\n", + "Epoch 640/1000, Cost: 4.6853\n", + " and the parameters are [-2.9373664 3.97896574] -5.2096466679954005 ;\n", + "Epoch 640/1000, Cost: 3.3859\n", + " and the parameters are [-2.93738799 3.97894081] -5.209681136703099 ;\n", + "Epoch 640/1000, Cost: 4.2343\n", + " and the parameters are [-2.9375059 3.97878898] -5.209741800769406 ;\n", + "Epoch 640/1000, Cost: 4.7743\n", + " and the parameters are [-2.93754368 3.97883707] -5.209710057023866 ;\n", + "Epoch 640/1000, Cost: 3.7810\n", + " and the parameters are [-2.93756372 3.97881383] -5.209740155759436 ;\n", + "Epoch 640/1000, Cost: 1.4386\n", + " and the parameters are [-2.93757028 3.9788447 ] -5.2097439513604815 ;\n", + "Epoch 640/1000, Cost: 4.6138\n", + " and the parameters are [-2.93756099 3.97885934] -5.20975693284208 ;\n", + "Epoch 640/1000, Cost: 7.0206\n", + " and the parameters are [-2.93752132 3.97897519] -5.209677277231135 ;\n", + "Epoch 640/1000, Cost: 2.5721\n", + " and the parameters are [-2.93756838 3.97895273] -5.20970463599718 ;\n", + "Epoch 640/1000, Cost: 4.7961\n", + " and the parameters are [-2.9376498 3.97880157] -5.209784569361106 ;\n", + "Epoch 640/1000, Cost: 3.2407\n", + " and the parameters are [-2.93765603 3.97884016] -5.209786118281607 ;\n", + "Epoch 640/1000, Cost: 6.5321\n", + " and the parameters are [-2.93763609 3.97889499] -5.2097644903968 ;\n", + "Epoch 640/1000, Cost: 3.2253\n", + " and the parameters are [-2.93761993 3.97897408] -5.209748015719344 ;\n", + "Epoch 640/1000, Cost: 1.2611\n", + " and the parameters are [-2.93762253 3.97902672] -5.2097319295502045 ;\n", + "Epoch 650/1000, Cost: 9.5932\n", + " and the parameters are [-2.94872993 3.99285225] -5.229719631557893 ;\n", + "Epoch 650/1000, Cost: 0.9832\n", + " and the parameters are [-2.94872145 3.99290565] -5.229706466293611 ;\n", + "Epoch 650/1000, Cost: 5.2942\n", + " and the parameters are [-2.94874046 3.992822 ] -5.229765299946665 ;\n", + "Epoch 650/1000, Cost: 5.5994\n", + " and the parameters are [-2.94883633 3.9925444 ] -5.229916116740739 ;\n", + "Epoch 650/1000, Cost: 5.8274\n", + " and the parameters are [-2.94875429 3.99253762] -5.229972019236161 ;\n", + "Epoch 650/1000, Cost: 1.2164\n", + " and the parameters are [-2.94871779 3.99259928] -5.229966722414419 ;\n", + "Epoch 650/1000, Cost: 3.3525\n", + " and the parameters are [-2.94876041 3.99265766] -5.229926877001022 ;\n", + "Epoch 650/1000, Cost: 1.3283\n", + " and the parameters are [-2.94874028 3.99270142] -5.22992973395694 ;\n", + "Epoch 650/1000, Cost: 1.5267\n", + " and the parameters are [-2.94874886 3.99273102] -5.229933668379349 ;\n", + "Epoch 650/1000, Cost: 1.2553\n", + " and the parameters are [-2.94878243 3.99270781] -5.229957518720872 ;\n", + "Epoch 650/1000, Cost: 0.8699\n", + " and the parameters are [-2.94878853 3.99271946] -5.229966696443739 ;\n", + "Epoch 650/1000, Cost: 5.6350\n", + " and the parameters are [-2.94871749 3.99278868] -5.229949021858379 ;\n", + "Epoch 650/1000, Cost: 3.3087\n", + " and the parameters are [-2.94865502 3.99280533] -5.230011821761402 ;\n", + "Epoch 650/1000, Cost: 1.6847\n", + " and the parameters are [-2.94868988 3.99279731] -5.230019990433977 ;\n", + "Epoch 650/1000, Cost: 1.4843\n", + " and the parameters are [-2.94871187 3.99282437] -5.23001785943338 ;\n", + "Epoch 650/1000, Cost: 1.7659\n", + " and the parameters are [-2.94873643 3.99281852] -5.230036933788396 ;\n", + "Epoch 650/1000, Cost: 3.0640\n", + " and the parameters are [-2.94871754 3.99282289] -5.230078301839923 ;\n", + "Epoch 650/1000, Cost: 7.0445\n", + " and the parameters are [-2.94878728 3.99270775] -5.2301338354783695 ;\n", + "Epoch 650/1000, Cost: 2.6944\n", + " and the parameters are [-2.94878659 3.99276144] -5.2301105962603325 ;\n", + "Epoch 650/1000, Cost: 4.5839\n", + " and the parameters are [-2.94879725 3.9926374 ] -5.230211809370308 ;\n", + "Epoch 650/1000, Cost: 1.1827\n", + " and the parameters are [-2.9487896 3.9926269] -5.230249824326217 ;\n", + "Epoch 650/1000, Cost: 1.0924\n", + " and the parameters are [-2.94878988 3.99269318] -5.230226982794172 ;\n", + "Epoch 650/1000, Cost: 1.9725\n", + " and the parameters are [-2.94877709 3.99271176] -5.230246711951321 ;\n", + "Epoch 650/1000, Cost: 3.8232\n", + " and the parameters are [-2.94879759 3.99280174] -5.230186615161031 ;\n", + "Epoch 650/1000, Cost: 7.9986\n", + " and the parameters are [-2.94886056 3.99274492] -5.2301538012947715 ;\n", + "Epoch 650/1000, Cost: 1.5294\n", + " and the parameters are [-2.94884162 3.99277692] -5.230170150432648 ;\n", + "Epoch 650/1000, Cost: 3.8313\n", + " and the parameters are [-2.94888793 3.99271755] -5.2302116777651975 ;\n", + "Epoch 650/1000, Cost: 4.3630\n", + " and the parameters are [-2.94886859 3.99272689] -5.2302311376481025 ;\n", + "Epoch 650/1000, Cost: 7.7114\n", + " and the parameters are [-2.94879269 3.99288772] -5.230147458717665 ;\n", + "Epoch 650/1000, Cost: 3.3557\n", + " and the parameters are [-2.94883284 3.99278207] -5.230221128572121 ;\n", + "Epoch 650/1000, Cost: 4.7439\n", + " and the parameters are [-2.94890041 3.99276658] -5.230224684706864 ;\n", + "Epoch 650/1000, Cost: 2.2753\n", + " and the parameters are [-2.94894989 3.99273333] -5.230254553120193 ;\n", + "Epoch 650/1000, Cost: 7.0052\n", + " and the parameters are [-2.94897747 3.99273836] -5.23021404490106 ;\n", + "Epoch 650/1000, Cost: 1.4866\n", + " and the parameters are [-2.94902129 3.99276881] -5.230195900851382 ;\n", + "Epoch 650/1000, Cost: 2.2959\n", + " and the parameters are [-2.94905523 3.99279156] -5.230189893514567 ;\n", + "Epoch 650/1000, Cost: 3.4056\n", + " and the parameters are [-2.94904504 3.99278614] -5.230239188721183 ;\n", + "Epoch 650/1000, Cost: 4.0892\n", + " and the parameters are [-2.94908226 3.99271463] -5.230286521428559 ;\n", + "Epoch 650/1000, Cost: 2.7922\n", + " and the parameters are [-2.94911699 3.99267595] -5.230331612008682 ;\n", + "Epoch 650/1000, Cost: 3.9665\n", + " and the parameters are [-2.94925826 3.9925818 ] -5.23033954461761 ;\n", + "Epoch 650/1000, Cost: 2.0622\n", + " and the parameters are [-2.94922975 3.99261158] -5.230363470679909 ;\n", + "Epoch 650/1000, Cost: 2.1447\n", + " and the parameters are [-2.94925397 3.99264071] -5.230361298234349 ;\n", + "Epoch 650/1000, Cost: 2.6035\n", + " and the parameters are [-2.94924767 3.99268555] -5.230364489108864 ;\n", + "Epoch 650/1000, Cost: 3.5549\n", + " and the parameters are [-2.94925046 3.99277459] -5.230327785963797 ;\n", + "Epoch 650/1000, Cost: 2.1427\n", + " and the parameters are [-2.94927805 3.99282581] -5.230304699607993 ;\n", + "Epoch 650/1000, Cost: 2.2449\n", + " and the parameters are [-2.94926302 3.99289512] -5.23029093710423 ;\n", + "Epoch 650/1000, Cost: 0.7950\n", + " and the parameters are [-2.949262 3.99293507] -5.230281898347578 ;\n", + "Epoch 650/1000, Cost: 3.8685\n", + " and the parameters are [-2.94931197 3.99291929] -5.230284373758107 ;\n", + "Epoch 650/1000, Cost: 2.3058\n", + " and the parameters are [-2.94931058 3.9928808 ] -5.230343872777455 ;\n", + "Epoch 650/1000, Cost: 1.4587\n", + " and the parameters are [-2.94932976 3.99296149] -5.230301599954521 ;\n", + "Epoch 650/1000, Cost: 2.3772\n", + " and the parameters are [-2.9493673 3.99291734] -5.230344518097392 ;\n", + "Epoch 650/1000, Cost: 5.0643\n", + " and the parameters are [-2.9493952 3.99278689] -5.2304374581839355 ;\n", + "Epoch 650/1000, Cost: 10.1805\n", + " and the parameters are [-2.94940016 3.99291669] -5.230297241274997 ;\n", + "Epoch 650/1000, Cost: 2.2808\n", + " and the parameters are [-2.94943522 3.99285169] -5.230343120467836 ;\n", + "Epoch 650/1000, Cost: 6.7307\n", + " and the parameters are [-2.94950286 3.99271377] -5.230403367408671 ;\n", + "Epoch 650/1000, Cost: 2.4955\n", + " and the parameters are [-2.94950282 3.99276255] -5.230392952183346 ;\n", + "Epoch 650/1000, Cost: 1.4746\n", + " and the parameters are [-2.9495165 3.9927784] -5.230405846285831 ;\n", + "Epoch 650/1000, Cost: 3.6028\n", + " and the parameters are [-2.94945744 3.99292249] -5.230367436515804 ;\n", + "Epoch 650/1000, Cost: 2.4985\n", + " and the parameters are [-2.94945882 3.99301217] -5.230331940282793 ;\n", + "Epoch 650/1000, Cost: 1.7088\n", + " and the parameters are [-2.94942107 3.99308584] -5.23033083977042 ;\n", + "Epoch 650/1000, Cost: 2.6470\n", + " and the parameters are [-2.94933724 3.99327056] -5.23026104211569 ;\n", + "Epoch 650/1000, Cost: 3.3640\n", + " and the parameters are [-2.94938271 3.99332041] -5.230217768426399 ;\n", + "Epoch 650/1000, Cost: 1.2378\n", + " and the parameters are [-2.9493641 3.99335876] -5.230225357276528 ;\n", + "Epoch 650/1000, Cost: 2.1659\n", + " and the parameters are [-2.94938315 3.9933427 ] -5.230254698706871 ;\n", + "Epoch 650/1000, Cost: 1.8441\n", + " and the parameters are [-2.94936834 3.99342669] -5.230217101095455 ;\n", + "Epoch 650/1000, Cost: 1.7741\n", + " and the parameters are [-2.9493816 3.99346001] -5.230209719849101 ;\n", + "Epoch 650/1000, Cost: 2.3603\n", + " and the parameters are [-2.94935507 3.9935355 ] -5.230187523718063 ;\n", + "Epoch 650/1000, Cost: 5.5861\n", + " and the parameters are [-2.94937058 3.99343473] -5.230267274860015 ;\n", + "Epoch 650/1000, Cost: 2.0672\n", + " and the parameters are [-2.94938557 3.99343732] -5.230282868865154 ;\n", + "Epoch 650/1000, Cost: 1.4769\n", + " and the parameters are [-2.94939717 3.99351275] -5.230243891026896 ;\n", + "Epoch 650/1000, Cost: 3.6142\n", + " and the parameters are [-2.94942959 3.99345935] -5.230291354738831 ;\n", + "Epoch 650/1000, Cost: 2.8833\n", + " and the parameters are [-2.94946923 3.99349216] -5.23024428976776 ;\n", + "Epoch 650/1000, Cost: 4.3201\n", + " and the parameters are [-2.94946369 3.99360216] -5.230166616907169 ;\n", + "Epoch 650/1000, Cost: 3.1288\n", + " and the parameters are [-2.94944811 3.99352033] -5.23026646371458 ;\n", + "Epoch 650/1000, Cost: 1.5582\n", + " and the parameters are [-2.94946031 3.99358454] -5.230238681110014 ;\n", + "Epoch 650/1000, Cost: 1.9524\n", + " and the parameters are [-2.94945439 3.99362529] -5.23023598371674 ;\n", + "Epoch 650/1000, Cost: 3.4483\n", + " and the parameters are [-2.94949168 3.99374007] -5.230156313461031 ;\n", + "Epoch 650/1000, Cost: 1.4338\n", + " and the parameters are [-2.9494847 3.99375816] -5.2301767361320515 ;\n", + "Epoch 650/1000, Cost: 3.8756\n", + " and the parameters are [-2.94952742 3.99380793] -5.230123514718715 ;\n", + "Epoch 650/1000, Cost: 0.9537\n", + " and the parameters are [-2.94952895 3.9937956 ] -5.2301552845452575 ;\n", + "Epoch 650/1000, Cost: 1.1352\n", + " and the parameters are [-2.94954411 3.99380577] -5.230166592076529 ;\n", + "Epoch 650/1000, Cost: 2.9770\n", + " and the parameters are [-2.94952127 3.9938271 ] -5.230171995773369 ;\n", + "Epoch 650/1000, Cost: 1.9554\n", + " and the parameters are [-2.94953883 3.9938059 ] -5.2302020721363185 ;\n", + "Epoch 650/1000, Cost: 4.6351\n", + " and the parameters are [-2.94948772 3.99372335] -5.230291235235867 ;\n", + "Epoch 650/1000, Cost: 2.9888\n", + " and the parameters are [-2.94948733 3.99381545] -5.230236033806214 ;\n", + "Epoch 650/1000, Cost: 1.1649\n", + " and the parameters are [-2.94947493 3.99383799] -5.2302548558550725 ;\n", + "Epoch 650/1000, Cost: 1.1814\n", + " and the parameters are [-2.9494981 3.99386285] -5.230245913594281 ;\n", + "Epoch 650/1000, Cost: 2.6603\n", + " and the parameters are [-2.94950583 3.99387314] -5.230262382392642 ;\n", + "Epoch 650/1000, Cost: 2.6411\n", + " and the parameters are [-2.94940677 3.99396324] -5.230276686006507 ;\n", + "Epoch 650/1000, Cost: 2.3718\n", + " and the parameters are [-2.94942022 3.99402405] -5.230249043027172 ;\n", + "Epoch 650/1000, Cost: 1.4113\n", + " and the parameters are [-2.94941796 3.99406235] -5.230253206866699 ;\n", + "Epoch 650/1000, Cost: 4.1214\n", + " and the parameters are [-2.94945064 3.99404989] -5.230264910207651 ;\n", + "Epoch 650/1000, Cost: 1.1749\n", + " and the parameters are [-2.94945335 3.99412283] -5.230233378121517 ;\n", + "Epoch 650/1000, Cost: 3.4295\n", + " and the parameters are [-2.94947807 3.99399402] -5.230339054719246 ;\n", + "Epoch 650/1000, Cost: 3.6215\n", + " and the parameters are [-2.94951903 3.99383698] -5.230448893226087 ;\n", + "Epoch 650/1000, Cost: 1.7291\n", + " and the parameters are [-2.94952361 3.99383477] -5.23048040674445 ;\n", + "Epoch 650/1000, Cost: 8.2709\n", + " and the parameters are [-2.94952557 3.99381802] -5.230465788953019 ;\n", + "Epoch 650/1000, Cost: 5.4220\n", + " and the parameters are [-2.94945628 3.99399004] -5.2303685515856 ;\n", + "Epoch 650/1000, Cost: 2.1767\n", + " and the parameters are [-2.94942194 3.99408034] -5.230349154763438 ;\n", + "Epoch 650/1000, Cost: 3.6290\n", + " and the parameters are [-2.94940677 3.9940389 ] -5.230408819689855 ;\n", + "Epoch 650/1000, Cost: 2.7342\n", + " and the parameters are [-2.94945553 3.9940324 ] -5.230419537831109 ;\n", + "Epoch 650/1000, Cost: 2.6016\n", + " and the parameters are [-2.94942058 3.99403698] -5.230472187720723 ;\n", + "Epoch 650/1000, Cost: 3.8708\n", + " and the parameters are [-2.94946182 3.99391032] -5.230565232303618 ;\n", + "Epoch 650/1000, Cost: 3.8651\n", + " and the parameters are [-2.94947795 3.99384156] -5.230620729856239 ;\n", + "Epoch 650/1000, Cost: 1.3193\n", + " and the parameters are [-2.94948097 3.99388832] -5.23060790897805 ;\n", + "Epoch 650/1000, Cost: 2.7484\n", + " and the parameters are [-2.9494759 3.99387695] -5.230646081602164 ;\n", + "Epoch 650/1000, Cost: 2.8020\n", + " and the parameters are [-2.94949389 3.99378995] -5.2307297276030225 ;\n", + "Epoch 650/1000, Cost: 1.2368\n", + " and the parameters are [-2.94944459 3.99386075] -5.230726543850518 ;\n", + "Epoch 650/1000, Cost: 1.4547\n", + " and the parameters are [-2.94944186 3.99390171] -5.230719585185099 ;\n", + "Epoch 650/1000, Cost: 2.5858\n", + " and the parameters are [-2.94939709 3.99398782] -5.230700843328675 ;\n", + "Epoch 650/1000, Cost: 2.9562\n", + " and the parameters are [-2.94944507 3.9939563 ] -5.230735402623534 ;\n", + "Epoch 650/1000, Cost: 1.6830\n", + " and the parameters are [-2.9494603 3.99404094] -5.230687208909414 ;\n", + "Epoch 650/1000, Cost: 3.5258\n", + " and the parameters are [-2.9495082 3.99400221] -5.230718694301549 ;\n", + "Epoch 650/1000, Cost: 2.0414\n", + " and the parameters are [-2.94949435 3.99406652] -5.230707055631894 ;\n", + "Epoch 650/1000, Cost: 5.2149\n", + " and the parameters are [-2.94949085 3.99398888] -5.230759425348999 ;\n", + "Epoch 650/1000, Cost: 2.6276\n", + " and the parameters are [-2.94948551 3.99400553] -5.2307845655156635 ;\n", + "Epoch 650/1000, Cost: 4.8186\n", + " and the parameters are [-2.94942089 3.99390788] -5.230899696267845 ;\n", + "Epoch 650/1000, Cost: 3.2300\n", + " and the parameters are [-2.94950099 3.99382536] -5.230944559978999 ;\n", + "Epoch 650/1000, Cost: 2.1041\n", + " and the parameters are [-2.94952323 3.99388631] -5.230918022357286 ;\n", + "Epoch 650/1000, Cost: 2.4401\n", + " and the parameters are [-2.94953684 3.99386583] -5.230954298929879 ;\n", + "Epoch 650/1000, Cost: 4.0326\n", + " and the parameters are [-2.94954646 3.99389277] -5.230958068931619 ;\n", + "Epoch 650/1000, Cost: 4.6623\n", + " and the parameters are [-2.94964309 3.99370307] -5.231064311029818 ;\n", + "Epoch 650/1000, Cost: 4.7304\n", + " and the parameters are [-2.94970149 3.99356547] -5.231155526897542 ;\n", + "Epoch 650/1000, Cost: 3.1715\n", + " and the parameters are [-2.94965776 3.99361815] -5.231147423943534 ;\n", + "Epoch 650/1000, Cost: 5.0968\n", + " and the parameters are [-2.94959768 3.99366766] -5.231172461745142 ;\n", + "Epoch 650/1000, Cost: 2.6235\n", + " and the parameters are [-2.94964596 3.99362971] -5.231198969783134 ;\n", + "Epoch 650/1000, Cost: 4.1034\n", + " and the parameters are [-2.94952369 3.99383017] -5.231139961600313 ;\n", + "Epoch 650/1000, Cost: 2.0578\n", + " and the parameters are [-2.94956066 3.9938942 ] -5.231096603618468 ;\n", + "Epoch 650/1000, Cost: 2.5038\n", + " and the parameters are [-2.94959906 3.99397923] -5.231050560524599 ;\n", + "Epoch 650/1000, Cost: 2.9732\n", + " and the parameters are [-2.94958628 3.99401289] -5.231059658058187 ;\n", + "Epoch 650/1000, Cost: 8.4645\n", + " and the parameters are [-2.94951558 3.99404999] -5.231061768270427 ;\n", + "Epoch 650/1000, Cost: 5.5092\n", + " and the parameters are [-2.9494367 3.99403523] -5.231134485563542 ;\n", + "Epoch 650/1000, Cost: 5.8469\n", + " and the parameters are [-2.94955981 3.99395461] -5.2311345851026765 ;\n", + "Epoch 650/1000, Cost: 3.1155\n", + " and the parameters are [-2.94948136 3.99411767] -5.231074808691089 ;\n", + "Epoch 650/1000, Cost: 7.1188\n", + " and the parameters are [-2.94950636 3.99416442] -5.231022222798021 ;\n", + "Epoch 650/1000, Cost: 4.9047\n", + " and the parameters are [-2.94942968 3.99426158] -5.230987701918324 ;\n", + "Epoch 650/1000, Cost: 2.6891\n", + " and the parameters are [-2.94948879 3.99422127] -5.231010743804066 ;\n", + "Epoch 650/1000, Cost: 1.3892\n", + " and the parameters are [-2.94948997 3.99424155] -5.231022474289559 ;\n", + "Epoch 650/1000, Cost: 6.6605\n", + " and the parameters are [-2.94965573 3.99404981] -5.231065908345252 ;\n", + "Epoch 650/1000, Cost: 2.5593\n", + " and the parameters are [-2.9496712 3.99412535] -5.231022753316923 ;\n", + "Epoch 650/1000, Cost: 1.9165\n", + " and the parameters are [-2.94966029 3.99410326] -5.231070815885058 ;\n", + "Epoch 650/1000, Cost: 2.8325\n", + " and the parameters are [-2.94959617 3.99423747] -5.231029968481452 ;\n", + "Epoch 650/1000, Cost: 3.1180\n", + " and the parameters are [-2.94965444 3.99420492] -5.2310485276468714 ;\n", + "Epoch 650/1000, Cost: 6.7839\n", + " and the parameters are [-2.94958829 3.99427781] -5.231029825751148 ;\n", + "Epoch 650/1000, Cost: 6.1622\n", + " and the parameters are [-2.94957393 3.99422137] -5.2310595469718875 ;\n", + "Epoch 650/1000, Cost: 4.1787\n", + " and the parameters are [-2.94957224 3.99419321] -5.231105473445115 ;\n", + "Epoch 650/1000, Cost: 3.3512\n", + " and the parameters are [-2.94962388 3.9940909 ] -5.231174083751034 ;\n", + "Epoch 650/1000, Cost: 4.2560\n", + " and the parameters are [-2.94968682 3.99413294] -5.231114312477516 ;\n", + "Epoch 650/1000, Cost: 1.7869\n", + " and the parameters are [-2.94964904 3.99420886] -5.231105810753888 ;\n", + "Epoch 650/1000, Cost: 1.9502\n", + " and the parameters are [-2.94967793 3.99425035] -5.231087698736695 ;\n", + "Epoch 650/1000, Cost: 2.9648\n", + " and the parameters are [-2.94969258 3.99427569] -5.231071537379187 ;\n", + "Epoch 650/1000, Cost: 1.8883\n", + " and the parameters are [-2.94964247 3.99432891] -5.2310870251972945 ;\n", + "Epoch 650/1000, Cost: 2.4417\n", + " and the parameters are [-2.94966828 3.99436627] -5.231076254288093 ;\n", + "Epoch 650/1000, Cost: 2.2337\n", + " and the parameters are [-2.94964654 3.99432829] -5.23115158326087 ;\n", + "Epoch 650/1000, Cost: 0.8194\n", + " and the parameters are [-2.94963893 3.99436453] -5.231152159957997 ;\n", + "Epoch 650/1000, Cost: 2.5228\n", + " and the parameters are [-2.9495986 3.99441812] -5.231152212048932 ;\n", + "Epoch 650/1000, Cost: 1.1611\n", + " and the parameters are [-2.94959472 3.99446515] -5.231144583171343 ;\n", + "Epoch 650/1000, Cost: 4.0671\n", + " and the parameters are [-2.94968335 3.99427942] -5.231228083497308 ;\n", + "Epoch 650/1000, Cost: 2.3545\n", + " and the parameters are [-2.94968688 3.99427561] -5.231261537663061 ;\n", + "Epoch 650/1000, Cost: 1.6756\n", + " and the parameters are [-2.94967639 3.99431125] -5.231267759465147 ;\n", + "Epoch 650/1000, Cost: 2.4811\n", + " and the parameters are [-2.94965243 3.99431029] -5.231321161024607 ;\n", + "Epoch 650/1000, Cost: 7.7863\n", + " and the parameters are [-2.94951857 3.99437229] -5.231329155631216 ;\n", + "Epoch 650/1000, Cost: 2.6385\n", + " and the parameters are [-2.94955238 3.99431161] -5.231385433793682 ;\n", + "Epoch 650/1000, Cost: 4.3269\n", + " and the parameters are [-2.94953431 3.99437947] -5.231361448249907 ;\n", + "Epoch 650/1000, Cost: 2.1495\n", + " and the parameters are [-2.94958672 3.99431891] -5.2313909805037815 ;\n", + "Epoch 650/1000, Cost: 1.4964\n", + " and the parameters are [-2.94961572 3.99432154] -5.231398534368881 ;\n", + "Epoch 650/1000, Cost: 1.5845\n", + " and the parameters are [-2.94960702 3.99436385] -5.2314040969671 ;\n", + "Epoch 650/1000, Cost: 2.7476\n", + " and the parameters are [-2.94966444 3.99440695] -5.23136606588844 ;\n", + "Epoch 650/1000, Cost: 3.1036\n", + " and the parameters are [-2.94964292 3.99445622] -5.231366838395243 ;\n", + "Epoch 650/1000, Cost: 3.2987\n", + " and the parameters are [-2.94965198 3.99445186] -5.231389093513402 ;\n", + "Epoch 650/1000, Cost: 2.2379\n", + " and the parameters are [-2.94968593 3.99453687] -5.231321788887351 ;\n", + "Epoch 650/1000, Cost: 0.6334\n", + " and the parameters are [-2.94966588 3.99457745] -5.231322055283449 ;\n", + "Epoch 650/1000, Cost: 6.5311\n", + " and the parameters are [-2.94978414 3.99446302] -5.231330376891457 ;\n", + "Epoch 650/1000, Cost: 4.8173\n", + " and the parameters are [-2.94981377 3.99432854] -5.231425268407457 ;\n", + "Epoch 650/1000, Cost: 1.8168\n", + " and the parameters are [-2.94984315 3.99431097] -5.231454418759627 ;\n", + "Epoch 650/1000, Cost: 1.9591\n", + " and the parameters are [-2.94982139 3.99443545] -5.231399082349084 ;\n", + "Epoch 650/1000, Cost: 2.3150\n", + " and the parameters are [-2.94978515 3.99453814] -5.231362184243044 ;\n", + "Epoch 650/1000, Cost: 1.3706\n", + " and the parameters are [-2.94981606 3.99456131] -5.2313559864617165 ;\n", + "Epoch 650/1000, Cost: 4.2375\n", + " and the parameters are [-2.94996871 3.99442631] -5.23139890964125 ;\n", + "Epoch 650/1000, Cost: 2.0625\n", + " and the parameters are [-2.95000322 3.99437037] -5.231435756881496 ;\n", + "Epoch 650/1000, Cost: 3.8751\n", + " and the parameters are [-2.9499747 3.99425511] -5.231567552031944 ;\n", + "Epoch 650/1000, Cost: 2.1679\n", + " and the parameters are [-2.95000543 3.99427429] -5.231570741188877 ;\n", + "Epoch 650/1000, Cost: 1.7476\n", + " and the parameters are [-2.95003174 3.99425318] -5.2316019084634515 ;\n", + "Epoch 650/1000, Cost: 4.5716\n", + " and the parameters are [-2.94997672 3.99429158] -5.231630113686386 ;\n", + "Epoch 650/1000, Cost: 1.7968\n", + " and the parameters are [-2.94998155 3.99433003] -5.231612114349469 ;\n", + "Epoch 650/1000, Cost: 2.2292\n", + " and the parameters are [-2.95003364 3.99433673] -5.231611617855319 ;\n", + "Epoch 650/1000, Cost: 1.4360\n", + " and the parameters are [-2.95005184 3.9943426 ] -5.23162004836315 ;\n", + "Epoch 650/1000, Cost: 7.4961\n", + " and the parameters are [-2.95007875 3.99431773] -5.231632604569867 ;\n", + "Epoch 650/1000, Cost: 2.1211\n", + " and the parameters are [-2.95001682 3.99441025] -5.231611860631579 ;\n", + "Epoch 650/1000, Cost: 2.2727\n", + " and the parameters are [-2.95000524 3.99451181] -5.231570235635299 ;\n", + "Epoch 650/1000, Cost: 2.5321\n", + " and the parameters are [-2.95002223 3.99449723] -5.231606919857263 ;\n", + "Epoch 650/1000, Cost: 4.6134\n", + " and the parameters are [-2.95002715 3.99448278] -5.23163328430379 ;\n", + "Epoch 650/1000, Cost: 2.1173\n", + " and the parameters are [-2.95008278 3.99442275] -5.2316729490967155 ;\n", + "Epoch 650/1000, Cost: 3.3890\n", + " and the parameters are [-2.95015311 3.99432782] -5.2317334990802795 ;\n", + "Epoch 650/1000, Cost: 1.4009\n", + " and the parameters are [-2.95018813 3.99429244] -5.231762695294611 ;\n", + "Epoch 650/1000, Cost: 3.9233\n", + " and the parameters are [-2.95015911 3.99433247] -5.231776184244508 ;\n", + "Epoch 650/1000, Cost: 4.7560\n", + " and the parameters are [-2.95011059 3.99439036] -5.231771137214223 ;\n", + "Epoch 650/1000, Cost: 2.3879\n", + " and the parameters are [-2.95010697 3.99441854] -5.231788474320224 ;\n", + "Epoch 650/1000, Cost: 1.5289\n", + " and the parameters are [-2.95009984 3.99447227] -5.231777558129277 ;\n", + "Epoch 650/1000, Cost: 2.5734\n", + " and the parameters are [-2.95008651 3.99454723] -5.231751729650286 ;\n", + "Epoch 650/1000, Cost: 6.7508\n", + " and the parameters are [-2.95002208 3.99448412] -5.231838847984021 ;\n", + "Epoch 660/1000, Cost: 1.6839\n", + " and the parameters are [-2.96101952 4.0082454 ] -5.251457298323945 ;\n", + "Epoch 660/1000, Cost: 4.8786\n", + " and the parameters are [-2.96107277 4.00807802] -5.251559050946435 ;\n", + "Epoch 660/1000, Cost: 0.6758\n", + " and the parameters are [-2.96107662 4.00807948] -5.251575717728907 ;\n", + "Epoch 660/1000, Cost: 5.1648\n", + " and the parameters are [-2.96104038 4.00804392] -5.251623912664843 ;\n", + "Epoch 660/1000, Cost: 4.1488\n", + " and the parameters are [-2.96106076 4.00795431] -5.251686936633671 ;\n", + "Epoch 660/1000, Cost: 2.0756\n", + " and the parameters are [-2.96108703 4.00789974] -5.251740338049181 ;\n", + "Epoch 660/1000, Cost: 1.3989\n", + " and the parameters are [-2.96112222 4.00790234] -5.251741235368897 ;\n", + "Epoch 660/1000, Cost: 2.5023\n", + " and the parameters are [-2.96113523 4.00793162] -5.251741602482696 ;\n", + "Epoch 660/1000, Cost: 1.1232\n", + " and the parameters are [-2.96112651 4.00797657] -5.251734844158432 ;\n", + "Epoch 660/1000, Cost: 3.2909\n", + " and the parameters are [-2.96121622 4.00786793] -5.2517825011093136 ;\n", + "Epoch 660/1000, Cost: 5.7290\n", + " and the parameters are [-2.96130369 4.00783379] -5.251779029548845 ;\n", + "Epoch 660/1000, Cost: 4.8260\n", + " and the parameters are [-2.96131096 4.00792512] -5.251723996662426 ;\n", + "Epoch 660/1000, Cost: 3.5071\n", + " and the parameters are [-2.96129454 4.00788718] -5.251778031676871 ;\n", + "Epoch 660/1000, Cost: 7.3870\n", + " and the parameters are [-2.96123699 4.0080202 ] -5.2517091361176 ;\n", + "Epoch 660/1000, Cost: 3.1565\n", + " and the parameters are [-2.96122443 4.00813347] -5.251660152196045 ;\n", + "Epoch 660/1000, Cost: 3.8347\n", + " and the parameters are [-2.96112513 4.00812497] -5.2517491576018545 ;\n", + "Epoch 660/1000, Cost: 2.0182\n", + " and the parameters are [-2.96112458 4.00817045] -5.251737536202224 ;\n", + "Epoch 660/1000, Cost: 1.0448\n", + " and the parameters are [-2.96111059 4.00817241] -5.2517683061861815 ;\n", + "Epoch 660/1000, Cost: 5.1221\n", + " and the parameters are [-2.9611472 4.00812454] -5.251780538420845 ;\n", + "Epoch 660/1000, Cost: 1.1147\n", + " and the parameters are [-2.96115428 4.00814628] -5.251786042354029 ;\n", + "Epoch 660/1000, Cost: 0.6682\n", + " and the parameters are [-2.96115692 4.00815537] -5.251797652066847 ;\n", + "Epoch 660/1000, Cost: 2.8855\n", + " and the parameters are [-2.96115675 4.00815601] -5.251822735245824 ;\n", + "Epoch 660/1000, Cost: 3.5211\n", + " and the parameters are [-2.96108354 4.00825249] -5.251812862380968 ;\n", + "Epoch 660/1000, Cost: 1.1452\n", + " and the parameters are [-2.96107548 4.0083235 ] -5.251788058916689 ;\n", + "Epoch 660/1000, Cost: 3.1951\n", + " and the parameters are [-2.96110167 4.0082351 ] -5.251856627787793 ;\n", + "Epoch 660/1000, Cost: 3.4018\n", + " and the parameters are [-2.96111549 4.00815995] -5.251922635730245 ;\n", + "Epoch 660/1000, Cost: 1.6544\n", + " and the parameters are [-2.9611574 4.00818158] -5.251906256957538 ;\n", + "Epoch 660/1000, Cost: 1.8593\n", + " and the parameters are [-2.96116438 4.00820245] -5.251915152047838 ;\n", + "Epoch 660/1000, Cost: 4.5732\n", + " and the parameters are [-2.96119059 4.00817263] -5.251927340325788 ;\n", + "Epoch 660/1000, Cost: 4.3473\n", + " and the parameters are [-2.96118289 4.00814657] -5.251959688660659 ;\n", + "Epoch 660/1000, Cost: 2.2495\n", + " and the parameters are [-2.96119893 4.00817304] -5.251955776737609 ;\n", + "Epoch 660/1000, Cost: 2.9870\n", + " and the parameters are [-2.96128141 4.00804018] -5.252031982801891 ;\n", + "Epoch 660/1000, Cost: 5.3066\n", + " and the parameters are [-2.96133241 4.0079906 ] -5.252073681884229 ;\n", + "Epoch 660/1000, Cost: 1.4739\n", + " and the parameters are [-2.96136089 4.00801811] -5.2520650410900975 ;\n", + "Epoch 660/1000, Cost: 2.9945\n", + " and the parameters are [-2.96136436 4.0080904 ] -5.252048697252034 ;\n", + "Epoch 660/1000, Cost: 2.0588\n", + " and the parameters are [-2.96139128 4.00814093] -5.252014268410835 ;\n", + "Epoch 660/1000, Cost: 7.4513\n", + " and the parameters are [-2.96142044 4.00811375] -5.252014383759025 ;\n", + "Epoch 660/1000, Cost: 1.0345\n", + " and the parameters are [-2.9614179 4.00815754] -5.252010636989937 ;\n", + "Epoch 660/1000, Cost: 3.2616\n", + " and the parameters are [-2.96146844 4.00815934] -5.251998536852374 ;\n", + "Epoch 660/1000, Cost: 2.0046\n", + " and the parameters are [-2.96151144 4.00818523] -5.251983718581045 ;\n", + "Epoch 660/1000, Cost: 1.3535\n", + " and the parameters are [-2.96145988 4.0082626 ] -5.251982164542722 ;\n", + "Epoch 660/1000, Cost: 1.7041\n", + " and the parameters are [-2.96149226 4.00828789] -5.251972067359764 ;\n", + "Epoch 660/1000, Cost: 4.4001\n", + " and the parameters are [-2.96147178 4.00834524] -5.251938502459773 ;\n", + "Epoch 660/1000, Cost: 1.9168\n", + " and the parameters are [-2.96146293 4.00839612] -5.251924270872984 ;\n", + "Epoch 660/1000, Cost: 2.5143\n", + " and the parameters are [-2.96140242 4.00839831] -5.251983343020382 ;\n", + "Epoch 660/1000, Cost: 1.6060\n", + " and the parameters are [-2.96140401 4.00843654] -5.2519840106258515 ;\n", + "Epoch 660/1000, Cost: 3.9718\n", + " and the parameters are [-2.96137373 4.00841718] -5.2520382328492365 ;\n", + "Epoch 660/1000, Cost: 1.7344\n", + " and the parameters are [-2.96134479 4.00845031] -5.2520535227478105 ;\n", + "Epoch 660/1000, Cost: 1.3052\n", + " and the parameters are [-2.96138462 4.00841431] -5.252084482925484 ;\n", + "Epoch 660/1000, Cost: 5.0224\n", + " and the parameters are [-2.96143896 4.00834937] -5.252114235921647 ;\n", + "Epoch 660/1000, Cost: 1.1832\n", + " and the parameters are [-2.96144869 4.00837088] -5.252117909608956 ;\n", + "Epoch 660/1000, Cost: 6.1507\n", + " and the parameters are [-2.96148895 4.00852498] -5.252010123189156 ;\n", + "Epoch 660/1000, Cost: 10.2488\n", + " and the parameters are [-2.96149535 4.00856291] -5.251920954034544 ;\n", + "Epoch 660/1000, Cost: 6.8453\n", + " and the parameters are [-2.96147345 4.00837172] -5.25206313257941 ;\n", + "Epoch 660/1000, Cost: 3.2484\n", + " and the parameters are [-2.96155222 4.00828956] -5.252119728056793 ;\n", + "Epoch 660/1000, Cost: 2.8859\n", + " and the parameters are [-2.96153554 4.00827329] -5.252154430256323 ;\n", + "Epoch 660/1000, Cost: 3.9636\n", + " and the parameters are [-2.96145763 4.00828243] -5.252212858496081 ;\n", + "Epoch 660/1000, Cost: 4.8400\n", + " and the parameters are [-2.96152576 4.00821133] -5.252245228788779 ;\n", + "Epoch 660/1000, Cost: 4.0113\n", + " and the parameters are [-2.9616247 4.00802847] -5.25234886505051 ;\n", + "Epoch 660/1000, Cost: 1.7951\n", + " and the parameters are [-2.96163733 4.00801301] -5.252368986722553 ;\n", + "Epoch 660/1000, Cost: 2.3597\n", + " and the parameters are [-2.96158463 4.00804343] -5.252413229358741 ;\n", + "Epoch 660/1000, Cost: 2.1462\n", + " and the parameters are [-2.96163351 4.00803753] -5.25241699549055 ;\n", + "Epoch 660/1000, Cost: 3.1557\n", + " and the parameters are [-2.96169891 4.00797642] -5.252449883321022 ;\n", + "Epoch 660/1000, Cost: 3.5132\n", + " and the parameters are [-2.96174283 4.00799572] -5.252433159647027 ;\n", + "Epoch 660/1000, Cost: 2.4751\n", + " and the parameters are [-2.96177019 4.00805135] -5.252401483747414 ;\n", + "Epoch 660/1000, Cost: 2.8813\n", + " and the parameters are [-2.96177784 4.00810959] -5.252377514288086 ;\n", + "Epoch 660/1000, Cost: 2.1586\n", + " and the parameters are [-2.96178275 4.00820851] -5.252332924517492 ;\n", + "Epoch 660/1000, Cost: 1.7635\n", + " and the parameters are [-2.96179384 4.00816625] -5.2523838568487875 ;\n", + "Epoch 660/1000, Cost: 2.6259\n", + " and the parameters are [-2.96185095 4.00808613] -5.252442175987831 ;\n", + "Epoch 660/1000, Cost: 3.5103\n", + " and the parameters are [-2.96186549 4.00820166] -5.25235902872801 ;\n", + "Epoch 660/1000, Cost: 1.4567\n", + " and the parameters are [-2.96187113 4.00822327] -5.252364733799208 ;\n", + "Epoch 660/1000, Cost: 2.3769\n", + " and the parameters are [-2.96185212 4.00827384] -5.252364435641526 ;\n", + "Epoch 660/1000, Cost: 5.1852\n", + " and the parameters are [-2.96178943 4.00845274] -5.2522733929766785 ;\n", + "Epoch 660/1000, Cost: 3.2333\n", + " and the parameters are [-2.96177415 4.00853542] -5.252244648063161 ;\n", + "Epoch 660/1000, Cost: 3.5184\n", + " and the parameters are [-2.96177863 4.00863157] -5.252199411188505 ;\n", + "Epoch 660/1000, Cost: 0.8774\n", + " and the parameters are [-2.96177194 4.00864686] -5.252214711198365 ;\n", + "Epoch 660/1000, Cost: 4.7274\n", + " and the parameters are [-2.96179306 4.00856252] -5.252272298886975 ;\n", + "Epoch 660/1000, Cost: 2.4013\n", + " and the parameters are [-2.96173702 4.00868188] -5.252239895242571 ;\n", + "Epoch 660/1000, Cost: 5.5979\n", + " and the parameters are [-2.96176106 4.00858833] -5.252294083485072 ;\n", + "Epoch 660/1000, Cost: 8.4768\n", + " and the parameters are [-2.96186736 4.00843084] -5.252335291165228 ;\n", + "Epoch 660/1000, Cost: 2.1158\n", + " and the parameters are [-2.96186842 4.00849227] -5.252311952597798 ;\n", + "Epoch 660/1000, Cost: 2.5993\n", + " and the parameters are [-2.96191336 4.00848863] -5.252314929988798 ;\n", + "Epoch 660/1000, Cost: 2.3447\n", + " and the parameters are [-2.9618737 4.00859084] -5.252280519094739 ;\n", + "Epoch 660/1000, Cost: 1.8455\n", + " and the parameters are [-2.96190915 4.00857325] -5.252297893664032 ;\n", + "Epoch 660/1000, Cost: 2.1066\n", + " and the parameters are [-2.96190409 4.00864871] -5.252272622122022 ;\n", + "Epoch 660/1000, Cost: 2.3506\n", + " and the parameters are [-2.96190012 4.00864806] -5.252297524877763 ;\n", + "Epoch 660/1000, Cost: 3.2322\n", + " and the parameters are [-2.96195705 4.00852575] -5.252386288646618 ;\n", + "Epoch 660/1000, Cost: 2.1176\n", + " and the parameters are [-2.96191239 4.00865587] -5.25233436183502 ;\n", + "Epoch 660/1000, Cost: 4.2771\n", + " and the parameters are [-2.96194648 4.00870288] -5.2522976165526485 ;\n", + "Epoch 660/1000, Cost: 1.5645\n", + " and the parameters are [-2.96195151 4.0087348 ] -5.252299540599414 ;\n", + "Epoch 660/1000, Cost: 2.9435\n", + " and the parameters are [-2.96195762 4.00883696] -5.252244518307048 ;\n", + "Epoch 660/1000, Cost: 3.6530\n", + " and the parameters are [-2.9620093 4.00879809] -5.252273762511888 ;\n", + "Epoch 660/1000, Cost: 1.7551\n", + " and the parameters are [-2.9620133 4.00878546] -5.252306987912825 ;\n", + "Epoch 660/1000, Cost: 1.7999\n", + " and the parameters are [-2.96204783 4.00879834] -5.252311923244754 ;\n", + "Epoch 660/1000, Cost: 1.8280\n", + " and the parameters are [-2.96199451 4.00888669] -5.252296085775567 ;\n", + "Epoch 660/1000, Cost: 2.1707\n", + " and the parameters are [-2.96196698 4.00885641] -5.252360957627642 ;\n", + "Epoch 660/1000, Cost: 1.5400\n", + " and the parameters are [-2.96196464 4.00891879] -5.252341477301583 ;\n", + "Epoch 660/1000, Cost: 3.6495\n", + " and the parameters are [-2.96198891 4.00885315] -5.252405825593393 ;\n", + "Epoch 660/1000, Cost: 4.5466\n", + " and the parameters are [-2.96193071 4.00890389] -5.252404309438533 ;\n", + "Epoch 660/1000, Cost: 3.1955\n", + " and the parameters are [-2.96193236 4.00886714] -5.252459945203733 ;\n", + "Epoch 660/1000, Cost: 2.1809\n", + " and the parameters are [-2.96200059 4.00889203] -5.252419057162077 ;\n", + "Epoch 660/1000, Cost: 2.7101\n", + " and the parameters are [-2.96194227 4.00895672] -5.252426289630275 ;\n", + "Epoch 660/1000, Cost: 1.6842\n", + " and the parameters are [-2.96187084 4.00896895] -5.252477659803562 ;\n", + "Epoch 660/1000, Cost: 1.0833\n", + " and the parameters are [-2.96184583 4.00898867] -5.252500191145614 ;\n", + "Epoch 660/1000, Cost: 1.4531\n", + " and the parameters are [-2.96188321 4.00901409] -5.252489668499996 ;\n", + "Epoch 660/1000, Cost: 1.0072\n", + " and the parameters are [-2.96187547 4.00906518] -5.252478327936919 ;\n", + "Epoch 660/1000, Cost: 2.5884\n", + " and the parameters are [-2.961854 4.00912646] -5.252462384409813 ;\n", + "Epoch 660/1000, Cost: 2.2240\n", + " and the parameters are [-2.96183361 4.00917418] -5.252469504628453 ;\n", + "Epoch 660/1000, Cost: 2.1019\n", + " and the parameters are [-2.96183217 4.00923759] -5.2524307234763405 ;\n", + "Epoch 660/1000, Cost: 1.6765\n", + " and the parameters are [-2.96184614 4.00920911] -5.252465515669914 ;\n", + "Epoch 660/1000, Cost: 2.6940\n", + " and the parameters are [-2.96186849 4.00922187] -5.252458505482559 ;\n", + "Epoch 660/1000, Cost: 6.5060\n", + " and the parameters are [-2.96191567 4.009261 ] -5.252397537263862 ;\n", + "Epoch 660/1000, Cost: 2.9895\n", + " and the parameters are [-2.96192733 4.00920052] -5.252455407852797 ;\n", + "Epoch 660/1000, Cost: 3.8675\n", + " and the parameters are [-2.96184504 4.0091833 ] -5.252538678315548 ;\n", + "Epoch 660/1000, Cost: 2.2979\n", + " and the parameters are [-2.9618952 4.00914541] -5.252566503862422 ;\n", + "Epoch 660/1000, Cost: 2.5529\n", + " and the parameters are [-2.96188181 4.00917996] -5.252569087871627 ;\n", + "Epoch 660/1000, Cost: 4.7225\n", + " and the parameters are [-2.96185069 4.0092662 ] -5.252538902921034 ;\n", + "Epoch 660/1000, Cost: 3.9870\n", + " and the parameters are [-2.96179293 4.00933178] -5.252549474247338 ;\n", + "Epoch 660/1000, Cost: 1.2203\n", + " and the parameters are [-2.96179656 4.00932284] -5.252574879779298 ;\n", + "Epoch 660/1000, Cost: 3.4254\n", + " and the parameters are [-2.96180048 4.00922039] -5.252658084799051 ;\n", + "Epoch 660/1000, Cost: 5.2794\n", + " and the parameters are [-2.96168554 4.00920372] -5.25273633100772 ;\n", + "Epoch 660/1000, Cost: 4.0189\n", + " and the parameters are [-2.9616653 4.00917049] -5.252783224673582 ;\n", + "Epoch 660/1000, Cost: 1.0437\n", + " and the parameters are [-2.96166928 4.00918022] -5.2528000551083736 ;\n", + "Epoch 660/1000, Cost: 5.7785\n", + " and the parameters are [-2.96171238 4.00910331] -5.252844477724801 ;\n", + "Epoch 660/1000, Cost: 2.3530\n", + " and the parameters are [-2.96171091 4.00911348] -5.2528684656823135 ;\n", + "Epoch 660/1000, Cost: 2.8300\n", + " and the parameters are [-2.96172994 4.00923425] -5.252783647188373 ;\n", + "Epoch 660/1000, Cost: 5.3394\n", + " and the parameters are [-2.96167009 4.00926683] -5.252807733709205 ;\n", + "Epoch 660/1000, Cost: 2.2328\n", + " and the parameters are [-2.96168319 4.00933691] -5.252777515400742 ;\n", + "Epoch 660/1000, Cost: 1.2274\n", + " and the parameters are [-2.96172382 4.00929085] -5.252811175679582 ;\n", + "Epoch 660/1000, Cost: 1.5732\n", + " and the parameters are [-2.96172849 4.009333 ] -5.252809845643386 ;\n", + "Epoch 660/1000, Cost: 6.6953\n", + " and the parameters are [-2.96179726 4.00929281] -5.252787540918752 ;\n", + "Epoch 660/1000, Cost: 1.3299\n", + " and the parameters are [-2.96176933 4.00934217] -5.252785323711712 ;\n", + "Epoch 660/1000, Cost: 1.0657\n", + " and the parameters are [-2.96174313 4.00939394] -5.252785320950996 ;\n", + "Epoch 660/1000, Cost: 5.7549\n", + " and the parameters are [-2.96181171 4.00940104] -5.252766384772675 ;\n", + "Epoch 660/1000, Cost: 3.0345\n", + " and the parameters are [-2.96189094 4.00943406] -5.252716157989959 ;\n", + "Epoch 660/1000, Cost: 2.9823\n", + " and the parameters are [-2.96190249 4.00946396] -5.252716561485007 ;\n", + "Epoch 660/1000, Cost: 1.7835\n", + " and the parameters are [-2.96192067 4.0095074 ] -5.252693475010528 ;\n", + "Epoch 660/1000, Cost: 1.8609\n", + " and the parameters are [-2.96187346 4.00951399] -5.252746633029103 ;\n", + "Epoch 660/1000, Cost: 2.9170\n", + " and the parameters are [-2.9619113 4.00952326] -5.252718801072422 ;\n", + "Epoch 660/1000, Cost: 2.8628\n", + " and the parameters are [-2.96192347 4.00957104] -5.25269572336103 ;\n", + "Epoch 660/1000, Cost: 1.9807\n", + " and the parameters are [-2.96193768 4.00957585] -5.25270763881845 ;\n", + "Epoch 660/1000, Cost: 2.3821\n", + " and the parameters are [-2.9619843 4.00948234] -5.252780016218107 ;\n", + "Epoch 660/1000, Cost: 1.7995\n", + " and the parameters are [-2.96204537 4.00954204] -5.25273037178339 ;\n", + "Epoch 660/1000, Cost: 6.6420\n", + " and the parameters are [-2.96208824 4.00944118] -5.252751586391896 ;\n", + "Epoch 660/1000, Cost: 2.8344\n", + " and the parameters are [-2.96209452 4.00943813] -5.252766222607319 ;\n", + "Epoch 660/1000, Cost: 1.5755\n", + " and the parameters are [-2.96206151 4.00948148] -5.252782274200397 ;\n", + "Epoch 660/1000, Cost: 2.5063\n", + " and the parameters are [-2.96214379 4.00940695] -5.2528179838105995 ;\n", + "Epoch 660/1000, Cost: 2.4630\n", + " and the parameters are [-2.96209803 4.00946786] -5.252830410798539 ;\n", + "Epoch 660/1000, Cost: 1.7261\n", + " and the parameters are [-2.96210488 4.00942045] -5.252885778805006 ;\n", + "Epoch 660/1000, Cost: 2.6047\n", + " and the parameters are [-2.96210441 4.00935332] -5.252967308826417 ;\n", + "Epoch 660/1000, Cost: 1.8586\n", + " and the parameters are [-2.96210421 4.00934759] -5.252993527609495 ;\n", + "Epoch 660/1000, Cost: 6.8425\n", + " and the parameters are [-2.96204251 4.0093292 ] -5.253044061036308 ;\n", + "Epoch 660/1000, Cost: 3.0787\n", + " and the parameters are [-2.96203375 4.00944144] -5.252981153135106 ;\n", + "Epoch 660/1000, Cost: 5.8581\n", + " and the parameters are [-2.96199782 4.00959888] -5.252874140828615 ;\n", + "Epoch 660/1000, Cost: 1.7526\n", + " and the parameters are [-2.96197291 4.00968812] -5.252853811627138 ;\n", + "Epoch 660/1000, Cost: 1.6052\n", + " and the parameters are [-2.96193069 4.00971042] -5.252888562768381 ;\n", + "Epoch 660/1000, Cost: 2.8873\n", + " and the parameters are [-2.96192529 4.00966558] -5.252953280640956 ;\n", + "Epoch 660/1000, Cost: 3.4017\n", + " and the parameters are [-2.96195064 4.00963385] -5.252982314318244 ;\n", + "Epoch 660/1000, Cost: 2.5283\n", + " and the parameters are [-2.96195494 4.00964084] -5.25302083519005 ;\n", + "Epoch 660/1000, Cost: 6.5555\n", + " and the parameters are [-2.96194005 4.00956716] -5.253080719816276 ;\n", + "Epoch 660/1000, Cost: 2.6745\n", + " and the parameters are [-2.96196687 4.00950703] -5.253153462626704 ;\n", + "Epoch 660/1000, Cost: 4.3175\n", + " and the parameters are [-2.96193487 4.00954016] -5.2531800742863135 ;\n", + "Epoch 660/1000, Cost: 5.5347\n", + " and the parameters are [-2.96193422 4.00962471] -5.253126605242032 ;\n", + "Epoch 660/1000, Cost: 2.1028\n", + " and the parameters are [-2.96193359 4.00965857] -5.253138411717335 ;\n", + "Epoch 660/1000, Cost: 3.1930\n", + " and the parameters are [-2.96197166 4.00967354] -5.2531339407667925 ;\n", + "Epoch 660/1000, Cost: 4.2882\n", + " and the parameters are [-2.96193486 4.00974313] -5.2531182398401945 ;\n", + "Epoch 660/1000, Cost: 2.6880\n", + " and the parameters are [-2.96199727 4.00978906] -5.253058188143551 ;\n", + "Epoch 660/1000, Cost: 8.7669\n", + " and the parameters are [-2.96199122 4.00991075] -5.25295113543142 ;\n", + "Epoch 660/1000, Cost: 4.8736\n", + " and the parameters are [-2.96195785 4.00977602] -5.253079670010583 ;\n", + "Epoch 660/1000, Cost: 2.5098\n", + " and the parameters are [-2.9619719 4.00970127] -5.253150786397942 ;\n", + "Epoch 660/1000, Cost: 5.0114\n", + " and the parameters are [-2.96198583 4.00969349] -5.253180507898359 ;\n", + "Epoch 660/1000, Cost: 4.1998\n", + " and the parameters are [-2.96202844 4.00959129] -5.2532541543251545 ;\n", + "Epoch 660/1000, Cost: 2.6971\n", + " and the parameters are [-2.9620678 4.00951675] -5.253314224011514 ;\n", + "Epoch 660/1000, Cost: 4.7946\n", + " and the parameters are [-2.96212706 4.0094813 ] -5.253339109235557 ;\n", + "Epoch 660/1000, Cost: 3.2408\n", + " and the parameters are [-2.96214774 4.00955513] -5.2533027785533655 ;\n", + "Epoch 660/1000, Cost: 4.9495\n", + " and the parameters are [-2.96207629 4.00966216] -5.253286843737623 ;\n", + "Epoch 660/1000, Cost: 6.6518\n", + " and the parameters are [-2.96216929 4.00949516] -5.253372535345191 ;\n", + "Epoch 660/1000, Cost: 1.6954\n", + " and the parameters are [-2.96214896 4.0095042 ] -5.253409319745692 ;\n", + "Epoch 660/1000, Cost: 2.7816\n", + " and the parameters are [-2.96222169 4.00948974] -5.253400359411984 ;\n", + "Epoch 660/1000, Cost: 2.8027\n", + " and the parameters are [-2.96220189 4.00953985] -5.253392405505625 ;\n", + "Epoch 660/1000, Cost: 6.0086\n", + " and the parameters are [-2.9622164 4.00938414] -5.253510683452915 ;\n", + "Epoch 660/1000, Cost: 1.5009\n", + " and the parameters are [-2.96223386 4.00935872] -5.253542075458594 ;\n", + "Epoch 660/1000, Cost: 4.5963\n", + " and the parameters are [-2.96226435 4.00923441] -5.253639790562968 ;\n", + "Epoch 660/1000, Cost: 2.0536\n", + " and the parameters are [-2.96227536 4.00934883] -5.253572684018988 ;\n", + "Epoch 660/1000, Cost: 1.6349\n", + " and the parameters are [-2.96230371 4.00936878] -5.253568079976837 ;\n", + "Epoch 660/1000, Cost: 3.3291\n", + " and the parameters are [-2.96235993 4.00944572] -5.253509650668083 ;\n", + "Epoch 660/1000, Cost: 1.0023\n", + " and the parameters are [-2.96239108 4.00948018] -5.253488944612127 ;\n", + "Epoch 660/1000, Cost: 2.8024\n", + " and the parameters are [-2.96231514 4.00952789] -5.253516600682115 ;\n", + "Epoch 660/1000, Cost: 7.5445\n", + " and the parameters are [-2.96237752 4.00941942] -5.253549300165936 ;\n", + "Epoch 660/1000, Cost: 2.2024\n", + " and the parameters are [-2.96233519 4.00947275] -5.253554928685874 ;\n", + "Epoch 660/1000, Cost: 1.0627\n", + " and the parameters are [-2.96235689 4.00946337] -5.253571354952527 ;\n", + "Epoch 660/1000, Cost: 1.9040\n", + " and the parameters are [-2.96236984 4.00948933] -5.253576781590563 ;\n", + "Epoch 660/1000, Cost: 4.1797\n", + " and the parameters are [-2.96229663 4.0096612 ] -5.25349829307473 ;\n", + "Epoch 660/1000, Cost: 2.5807\n", + " and the parameters are [-2.9622997 4.00961892] -5.253548841489901 ;\n", + "Epoch 660/1000, Cost: 3.5217\n", + " and the parameters are [-2.96231299 4.00968869] -5.25350974970815 ;\n", + "Epoch 660/1000, Cost: 1.9157\n", + " and the parameters are [-2.9622573 4.00979183] -5.25348617773451 ;\n", + "Epoch 660/1000, Cost: 4.4471\n", + " and the parameters are [-2.96221518 4.00978914] -5.25351401681296 ;\n", + "Epoch 660/1000, Cost: 4.5288\n", + " and the parameters are [-2.96215535 4.00988168] -5.253507939738103 ;\n", + "Epoch 660/1000, Cost: 3.9642\n", + " and the parameters are [-2.96219115 4.00987743] -5.253511222640566 ;\n", + "Epoch 660/1000, Cost: 3.2191\n", + " and the parameters are [-2.96223501 4.00975575] -5.253594693118393 ;\n", + "Epoch 670/1000, Cost: 2.0058\n", + " and the parameters are [-2.97307182 4.02329812] -5.27294789003883 ;\n", + "Epoch 670/1000, Cost: 3.1780\n", + " and the parameters are [-2.97309979 4.02320413] -5.273019868119716 ;\n", + "Epoch 670/1000, Cost: 1.0823\n", + " and the parameters are [-2.97303112 4.02324332] -5.27305137361386 ;\n", + "Epoch 670/1000, Cost: 6.1278\n", + " and the parameters are [-2.97299528 4.0230994 ] -5.273168625792506 ;\n", + "Epoch 670/1000, Cost: 2.1843\n", + " and the parameters are [-2.9730266 4.02302924] -5.273215982855487 ;\n", + "Epoch 670/1000, Cost: 1.3309\n", + " and the parameters are [-2.97304352 4.02308542] -5.273187595694805 ;\n", + "Epoch 670/1000, Cost: 2.4638\n", + " and the parameters are [-2.97305101 4.02309781] -5.273193989472823 ;\n", + "Epoch 670/1000, Cost: 2.8288\n", + " and the parameters are [-2.97300482 4.02314125] -5.273214534088907 ;\n", + "Epoch 670/1000, Cost: 2.9044\n", + " and the parameters are [-2.97294981 4.02313448] -5.2732799404262565 ;\n", + "Epoch 670/1000, Cost: 3.9862\n", + " and the parameters are [-2.97301859 4.02318555] -5.2732215786311 ;\n", + "Epoch 670/1000, Cost: 4.7402\n", + " and the parameters are [-2.97306985 4.02303985] -5.273299892841908 ;\n", + "Epoch 670/1000, Cost: 4.9390\n", + " and the parameters are [-2.97314032 4.02304596] -5.273275531313214 ;\n", + "Epoch 670/1000, Cost: 4.6419\n", + " and the parameters are [-2.97307175 4.02305835] -5.273329784312698 ;\n", + "Epoch 670/1000, Cost: 4.4260\n", + " and the parameters are [-2.97312881 4.02302714] -5.273340944877486 ;\n", + "Epoch 670/1000, Cost: 2.0113\n", + " and the parameters are [-2.97311637 4.02298213] -5.273397311694129 ;\n", + "Epoch 670/1000, Cost: 3.8678\n", + " and the parameters are [-2.97307627 4.02294108] -5.273486107761893 ;\n", + "Epoch 670/1000, Cost: 1.9619\n", + " and the parameters are [-2.97310355 4.0229704 ] -5.273481210529644 ;\n", + "Epoch 670/1000, Cost: 2.7568\n", + " and the parameters are [-2.97310102 4.02310026] -5.273409855999981 ;\n", + "Epoch 670/1000, Cost: 1.7712\n", + " and the parameters are [-2.97309491 4.02315283] -5.273401582712499 ;\n", + "Epoch 670/1000, Cost: 3.8560\n", + " and the parameters are [-2.97304757 4.0233659 ] -5.273297513340187 ;\n", + "Epoch 670/1000, Cost: 0.8057\n", + " and the parameters are [-2.97306625 4.02335543] -5.27331583690453 ;\n", + "Epoch 670/1000, Cost: 3.1346\n", + " and the parameters are [-2.97309728 4.02344189] -5.273250719577647 ;\n", + "Epoch 670/1000, Cost: 2.4921\n", + " and the parameters are [-2.97310349 4.02347059] -5.273243450287032 ;\n", + "Epoch 670/1000, Cost: 3.6758\n", + " and the parameters are [-2.97311523 4.02355282] -5.273204050515455 ;\n", + "Epoch 670/1000, Cost: 2.2585\n", + " and the parameters are [-2.97313221 4.02356715] -5.273206041627652 ;\n", + "Epoch 670/1000, Cost: 1.9617\n", + " and the parameters are [-2.9731534 4.02363036] -5.273174009894506 ;\n", + "Epoch 670/1000, Cost: 2.4977\n", + " and the parameters are [-2.97314328 4.02372815] -5.273135814814112 ;\n", + "Epoch 670/1000, Cost: 1.1589\n", + " and the parameters are [-2.97313314 4.02380127] -5.273110174862009 ;\n", + "Epoch 670/1000, Cost: 1.7573\n", + " and the parameters are [-2.97317714 4.02373577] -5.2731627649665525 ;\n", + "Epoch 670/1000, Cost: 2.3815\n", + " and the parameters are [-2.97323418 4.02371199] -5.2731774984368585 ;\n", + "Epoch 670/1000, Cost: 4.6099\n", + " and the parameters are [-2.97330441 4.02357635] -5.273253582310499 ;\n", + "Epoch 670/1000, Cost: 1.9879\n", + " and the parameters are [-2.97332805 4.02356727] -5.273270500550609 ;\n", + "Epoch 670/1000, Cost: 7.9122\n", + " and the parameters are [-2.97342824 4.02351208] -5.273239577832277 ;\n", + "Epoch 670/1000, Cost: 1.8780\n", + " and the parameters are [-2.97344085 4.02354403] -5.273236795865562 ;\n", + "Epoch 670/1000, Cost: 3.3886\n", + " and the parameters are [-2.97332173 4.02354549] -5.273315253242137 ;\n", + "Epoch 670/1000, Cost: 1.0894\n", + " and the parameters are [-2.97329554 4.02358602] -5.273324404247696 ;\n", + "Epoch 670/1000, Cost: 2.4929\n", + " and the parameters are [-2.97332295 4.02362222] -5.273309498635843 ;\n", + "Epoch 670/1000, Cost: 3.6688\n", + " and the parameters are [-2.97332466 4.02374062] -5.27324464136818 ;\n", + "Epoch 670/1000, Cost: 2.2444\n", + " and the parameters are [-2.97327624 4.02378445] -5.273263221026794 ;\n", + "Epoch 670/1000, Cost: 4.0879\n", + " and the parameters are [-2.97332051 4.02383997] -5.273221601886383 ;\n", + "Epoch 670/1000, Cost: 2.8011\n", + " and the parameters are [-2.97329707 4.02389834] -5.273228695323886 ;\n", + "Epoch 670/1000, Cost: 2.4604\n", + " and the parameters are [-2.97324188 4.02397672] -5.273238816159885 ;\n", + "Epoch 670/1000, Cost: 3.3303\n", + " and the parameters are [-2.97326632 4.02405304] -5.273200285439407 ;\n", + "Epoch 670/1000, Cost: 4.7396\n", + " and the parameters are [-2.97321252 4.02422684] -5.273119631867165 ;\n", + "Epoch 670/1000, Cost: 2.5669\n", + " and the parameters are [-2.97321847 4.02428045] -5.2731111222916915 ;\n", + "Epoch 670/1000, Cost: 5.2078\n", + " and the parameters are [-2.97316768 4.0242111 ] -5.273206365027349 ;\n", + "Epoch 670/1000, Cost: 3.2468\n", + " and the parameters are [-2.97319203 4.02425226] -5.273187970422559 ;\n", + "Epoch 670/1000, Cost: 1.3270\n", + " and the parameters are [-2.97317121 4.02429751] -5.2731918996369815 ;\n", + "Epoch 670/1000, Cost: 1.8522\n", + " and the parameters are [-2.97313186 4.02427932] -5.273253882594482 ;\n", + "Epoch 670/1000, Cost: 1.5725\n", + " and the parameters are [-2.97314865 4.0243393 ] -5.273232254836756 ;\n", + "Epoch 670/1000, Cost: 2.3079\n", + " and the parameters are [-2.97317319 4.02441444] -5.273181936382437 ;\n", + "Epoch 670/1000, Cost: 2.6778\n", + " and the parameters are [-2.97322277 4.0243496 ] -5.273228731521463 ;\n", + "Epoch 670/1000, Cost: 2.0004\n", + " and the parameters are [-2.97319421 4.02442 ] -5.2732175064543885 ;\n", + "Epoch 670/1000, Cost: 1.6796\n", + " and the parameters are [-2.9732106 4.02445366] -5.27320699850718 ;\n", + "Epoch 670/1000, Cost: 3.9703\n", + " and the parameters are [-2.97331676 4.02435479] -5.273257682223178 ;\n", + "Epoch 670/1000, Cost: 5.2995\n", + " and the parameters are [-2.97338152 4.02430372] -5.273274037801632 ;\n", + "Epoch 670/1000, Cost: 4.1226\n", + " and the parameters are [-2.9734044 4.02421194] -5.273357065712409 ;\n", + "Epoch 670/1000, Cost: 0.6653\n", + " and the parameters are [-2.97341496 4.02420963] -5.273370752587113 ;\n", + "Epoch 670/1000, Cost: 3.6221\n", + " and the parameters are [-2.97342093 4.02431607] -5.273300854292839 ;\n", + "Epoch 670/1000, Cost: 3.3073\n", + " and the parameters are [-2.97342597 4.02438257] -5.273266816602455 ;\n", + "Epoch 670/1000, Cost: 3.7046\n", + " and the parameters are [-2.97338955 4.0243434 ] -5.273338122869281 ;\n", + "Epoch 670/1000, Cost: 2.9537\n", + " and the parameters are [-2.97335898 4.02444158] -5.27331342571973 ;\n", + "Epoch 670/1000, Cost: 1.2045\n", + " and the parameters are [-2.97336693 4.02446344] -5.273320853214389 ;\n", + "Epoch 670/1000, Cost: 2.5341\n", + " and the parameters are [-2.9733591 4.02440142] -5.27339956843059 ;\n", + "Epoch 670/1000, Cost: 3.3134\n", + " and the parameters are [-2.97336437 4.0244187 ] -5.273410284795968 ;\n", + "Epoch 670/1000, Cost: 4.7849\n", + " and the parameters are [-2.97329686 4.02453946] -5.273358581886502 ;\n", + "Epoch 670/1000, Cost: 2.8183\n", + " and the parameters are [-2.97330534 4.02455386] -5.273381519856176 ;\n", + "Epoch 670/1000, Cost: 3.4050\n", + " and the parameters are [-2.97322889 4.02459718] -5.273419954970593 ;\n", + "Epoch 670/1000, Cost: 8.8071\n", + " and the parameters are [-2.973175 4.02442416] -5.273573157083463 ;\n", + "Epoch 670/1000, Cost: 1.9880\n", + " and the parameters are [-2.97319745 4.02440747] -5.273600597825393 ;\n", + "Epoch 670/1000, Cost: 2.8038\n", + " and the parameters are [-2.97317764 4.02440759] -5.273631178406828 ;\n", + "Epoch 670/1000, Cost: 5.1421\n", + " and the parameters are [-2.97328428 4.02419405] -5.273741433674516 ;\n", + "Epoch 670/1000, Cost: 2.7926\n", + " and the parameters are [-2.97333138 4.02425698] -5.273690051970793 ;\n", + "Epoch 670/1000, Cost: 4.1748\n", + " and the parameters are [-2.97334675 4.02428709] -5.27368371789764 ;\n", + "Epoch 670/1000, Cost: 6.8953\n", + " and the parameters are [-2.97342822 4.02410881] -5.2737758242872985 ;\n", + "Epoch 670/1000, Cost: 2.9376\n", + " and the parameters are [-2.97333515 4.02426656] -5.273731717817849 ;\n", + "Epoch 670/1000, Cost: 2.1630\n", + " and the parameters are [-2.97334779 4.02432115] -5.273711088587968 ;\n", + "Epoch 670/1000, Cost: 3.0666\n", + " and the parameters are [-2.97333916 4.02441632] -5.273666154298651 ;\n", + "Epoch 670/1000, Cost: 1.4503\n", + " and the parameters are [-2.97335594 4.02444562] -5.273657637924846 ;\n", + "Epoch 670/1000, Cost: 1.8069\n", + " and the parameters are [-2.97334052 4.0244247 ] -5.273709732157861 ;\n", + "Epoch 670/1000, Cost: 0.7419\n", + " and the parameters are [-2.97332946 4.02445322] -5.273714777851191 ;\n", + "Epoch 670/1000, Cost: 2.8780\n", + " and the parameters are [-2.97336157 4.0245751 ] -5.273630276527672 ;\n", + "Epoch 670/1000, Cost: 1.4690\n", + " and the parameters are [-2.97333791 4.0245577 ] -5.273672923568206 ;\n", + "Epoch 670/1000, Cost: 1.8276\n", + " and the parameters are [-2.97335661 4.02459125] -5.273666070424348 ;\n", + "Epoch 670/1000, Cost: 2.7077\n", + " and the parameters are [-2.97341739 4.02460737] -5.27364911939509 ;\n", + "Epoch 670/1000, Cost: 3.6610\n", + " and the parameters are [-2.97340799 4.0246642 ] -5.273628306393862 ;\n", + "Epoch 670/1000, Cost: 4.5308\n", + " and the parameters are [-2.97342886 4.02464796] -5.2736382790272485 ;\n", + "Epoch 670/1000, Cost: 3.1023\n", + " and the parameters are [-2.97341026 4.02465893] -5.273668936569389 ;\n", + "Epoch 670/1000, Cost: 3.3092\n", + " and the parameters are [-2.97337374 4.02466527] -5.273706034952138 ;\n", + "Epoch 670/1000, Cost: 1.8795\n", + " and the parameters are [-2.97338724 4.02467533] -5.273721450841202 ;\n", + "Epoch 670/1000, Cost: 4.3257\n", + " and the parameters are [-2.97340431 4.02477041] -5.273656909412276 ;\n", + "Epoch 670/1000, Cost: 0.9124\n", + " and the parameters are [-2.9734115 4.02477546] -5.273670340843793 ;\n", + "Epoch 670/1000, Cost: 2.1057\n", + " and the parameters are [-2.97344241 4.02472051] -5.2737178755863825 ;\n", + "Epoch 670/1000, Cost: 2.2788\n", + " and the parameters are [-2.97347609 4.02476176] -5.2736955476828244 ;\n", + "Epoch 670/1000, Cost: 1.1101\n", + " and the parameters are [-2.97345431 4.02477928] -5.273712308769018 ;\n", + "Epoch 670/1000, Cost: 5.8787\n", + " and the parameters are [-2.97351032 4.02472164] -5.273741815356157 ;\n", + "Epoch 670/1000, Cost: 4.3693\n", + " and the parameters are [-2.97348097 4.02468301] -5.273816605419109 ;\n", + "Epoch 670/1000, Cost: 2.9159\n", + " and the parameters are [-2.97351591 4.02479842] -5.273727389244959 ;\n", + "Epoch 670/1000, Cost: 7.5313\n", + " and the parameters are [-2.97346325 4.02477018] -5.2737500143906875 ;\n", + "Epoch 670/1000, Cost: 3.8965\n", + " and the parameters are [-2.97341964 4.02473171] -5.273818754379445 ;\n", + "Epoch 670/1000, Cost: 4.3616\n", + " and the parameters are [-2.97341587 4.02486032] -5.27373403969086 ;\n", + "Epoch 670/1000, Cost: 2.6879\n", + " and the parameters are [-2.97342795 4.02480256] -5.273784153931474 ;\n", + "Epoch 670/1000, Cost: 3.7821\n", + " and the parameters are [-2.9734535 4.02471215] -5.27386034770541 ;\n", + "Epoch 670/1000, Cost: 3.1421\n", + " and the parameters are [-2.97341976 4.02474563] -5.273877702130582 ;\n", + "Epoch 670/1000, Cost: 2.7697\n", + " and the parameters are [-2.97344554 4.02474995] -5.273884148751219 ;\n", + "Epoch 670/1000, Cost: 1.8595\n", + " and the parameters are [-2.97340259 4.02483186] -5.273868260696538 ;\n", + "Epoch 670/1000, Cost: 3.0583\n", + " and the parameters are [-2.97344345 4.02474629] -5.273942905467381 ;\n", + "Epoch 670/1000, Cost: 2.4064\n", + " and the parameters are [-2.97351178 4.02471061] -5.2739649726473 ;\n", + "Epoch 670/1000, Cost: 4.3814\n", + " and the parameters are [-2.97364736 4.02452305] -5.274039085560337 ;\n", + "Epoch 670/1000, Cost: 5.6846\n", + " and the parameters are [-2.97357525 4.0245029 ] -5.274098696236686 ;\n", + "Epoch 670/1000, Cost: 2.2421\n", + " and the parameters are [-2.97357942 4.02455014] -5.274091260105916 ;\n", + "Epoch 670/1000, Cost: 1.9133\n", + " and the parameters are [-2.97360442 4.02453726] -5.274112299680074 ;\n", + "Epoch 670/1000, Cost: 3.9297\n", + " and the parameters are [-2.973648 4.02442912] -5.274189788236577 ;\n", + "Epoch 670/1000, Cost: 1.9056\n", + " and the parameters are [-2.97366268 4.0244709 ] -5.274170709451702 ;\n", + "Epoch 670/1000, Cost: 2.8294\n", + " and the parameters are [-2.97364662 4.02444585] -5.274215045684138 ;\n", + "Epoch 670/1000, Cost: 2.5989\n", + " and the parameters are [-2.97370092 4.02438675] -5.274254345573522 ;\n", + "Epoch 670/1000, Cost: 2.5688\n", + " and the parameters are [-2.97361724 4.02451251] -5.274225934447496 ;\n", + "Epoch 670/1000, Cost: 1.7236\n", + " and the parameters are [-2.97366135 4.02454163] -5.274200315980917 ;\n", + "Epoch 670/1000, Cost: 3.1460\n", + " and the parameters are [-2.97368793 4.02461408] -5.274151225019498 ;\n", + "Epoch 670/1000, Cost: 1.7343\n", + " and the parameters are [-2.97370925 4.02459442] -5.274185021057387 ;\n", + "Epoch 670/1000, Cost: 4.2871\n", + " and the parameters are [-2.97370231 4.02453273] -5.274243025594697 ;\n", + "Epoch 670/1000, Cost: 2.5488\n", + " and the parameters are [-2.97370895 4.02448133] -5.274291735537348 ;\n", + "Epoch 670/1000, Cost: 2.0305\n", + " and the parameters are [-2.97369333 4.02445154] -5.27434977982257 ;\n", + "Epoch 670/1000, Cost: 2.0897\n", + " and the parameters are [-2.973704 4.02442411] -5.274396924574046 ;\n", + "Epoch 670/1000, Cost: 1.5405\n", + " and the parameters are [-2.97369528 4.02449793] -5.274376163094389 ;\n", + "Epoch 670/1000, Cost: 6.5475\n", + " and the parameters are [-2.97367819 4.02462572] -5.274282971558015 ;\n", + "Epoch 670/1000, Cost: 1.7336\n", + " and the parameters are [-2.9737278 4.02463486] -5.274266549391488 ;\n", + "Epoch 670/1000, Cost: 3.0958\n", + " and the parameters are [-2.97371582 4.02460168] -5.274324286565435 ;\n", + "Epoch 670/1000, Cost: 3.0883\n", + " and the parameters are [-2.97370359 4.02458346] -5.274356529036722 ;\n", + "Epoch 670/1000, Cost: 2.9607\n", + " and the parameters are [-2.97373053 4.02464708] -5.274321526221033 ;\n", + "Epoch 670/1000, Cost: 4.9739\n", + " and the parameters are [-2.97373125 4.02453567] -5.274422494086964 ;\n", + "Epoch 670/1000, Cost: 3.8421\n", + " and the parameters are [-2.97373722 4.02455175] -5.274414456110492 ;\n", + "Epoch 670/1000, Cost: 3.1199\n", + " and the parameters are [-2.97378581 4.02452805] -5.2744414110751014 ;\n", + "Epoch 670/1000, Cost: 2.6860\n", + " and the parameters are [-2.97373392 4.02465764] -5.274404801821424 ;\n", + "Epoch 670/1000, Cost: 1.6513\n", + " and the parameters are [-2.97374204 4.02468086] -5.274412802134785 ;\n", + "Epoch 670/1000, Cost: 1.4739\n", + " and the parameters are [-2.97373136 4.02475774] -5.274389812035848 ;\n", + "Epoch 670/1000, Cost: 4.4647\n", + " and the parameters are [-2.9737645 4.02474431] -5.2743893469417085 ;\n", + "Epoch 670/1000, Cost: 4.6056\n", + " and the parameters are [-2.97378954 4.02468527] -5.274425867692332 ;\n", + "Epoch 670/1000, Cost: 1.4507\n", + " and the parameters are [-2.97378256 4.02472638] -5.274427887815098 ;\n", + "Epoch 670/1000, Cost: 1.2185\n", + " and the parameters are [-2.9737816 4.02474998] -5.274433989918557 ;\n", + "Epoch 670/1000, Cost: 4.7487\n", + " and the parameters are [-2.97377507 4.02480643] -5.274408831942511 ;\n", + "Epoch 670/1000, Cost: 6.0008\n", + " and the parameters are [-2.97376687 4.02492728] -5.274327870719892 ;\n", + "Epoch 670/1000, Cost: 3.5122\n", + " and the parameters are [-2.97373909 4.02495873] -5.2743357719108275 ;\n", + "Epoch 670/1000, Cost: 1.3426\n", + " and the parameters are [-2.97376086 4.02495255] -5.274359056350691 ;\n", + "Epoch 670/1000, Cost: 1.2966\n", + " and the parameters are [-2.97377084 4.02492681] -5.274392409388193 ;\n", + "Epoch 670/1000, Cost: 6.0696\n", + " and the parameters are [-2.97377513 4.02491882] -5.274388992316318 ;\n", + "Epoch 670/1000, Cost: 1.8342\n", + " and the parameters are [-2.97377911 4.02500712] -5.274348556483978 ;\n", + "Epoch 670/1000, Cost: 1.5356\n", + " and the parameters are [-2.97375812 4.02506444] -5.274337637505612 ;\n", + "Epoch 670/1000, Cost: 3.6978\n", + " and the parameters are [-2.97371035 4.02509683] -5.2743516026568225 ;\n", + "Epoch 670/1000, Cost: 1.8715\n", + " and the parameters are [-2.97374841 4.02514888] -5.274306846105369 ;\n", + "Epoch 670/1000, Cost: 2.0806\n", + " and the parameters are [-2.97377764 4.02520451] -5.274280804822023 ;\n", + "Epoch 670/1000, Cost: 1.1812\n", + " and the parameters are [-2.97378414 4.02520258] -5.274301313076642 ;\n", + "Epoch 670/1000, Cost: 1.6296\n", + " and the parameters are [-2.97379315 4.02516917] -5.274333160728089 ;\n", + "Epoch 670/1000, Cost: 1.5845\n", + " and the parameters are [-2.97381778 4.0251781 ] -5.274348474481164 ;\n", + "Epoch 670/1000, Cost: 2.3167\n", + " and the parameters are [-2.97379763 4.02519142] -5.274377992945888 ;\n", + "Epoch 670/1000, Cost: 1.3912\n", + " and the parameters are [-2.97381998 4.02520152] -5.27437734618513 ;\n", + "Epoch 670/1000, Cost: 6.5162\n", + " and the parameters are [-2.9738773 4.02516874] -5.274349990360558 ;\n", + "Epoch 670/1000, Cost: 6.9057\n", + " and the parameters are [-2.97394144 4.02507183] -5.274371884056723 ;\n", + "Epoch 670/1000, Cost: 1.6788\n", + " and the parameters are [-2.97397042 4.02504517] -5.274397112019896 ;\n", + "Epoch 670/1000, Cost: 9.9641\n", + " and the parameters are [-2.97396706 4.02491265] -5.274450267294599 ;\n", + "Epoch 670/1000, Cost: 1.4292\n", + " and the parameters are [-2.9739868 4.02497321] -5.2744220954761705 ;\n", + "Epoch 670/1000, Cost: 2.1188\n", + " and the parameters are [-2.97407573 4.02487515] -5.274467156309583 ;\n", + "Epoch 670/1000, Cost: 3.8748\n", + " and the parameters are [-2.97406427 4.02491239] -5.274481034981314 ;\n", + "Epoch 670/1000, Cost: 11.2416\n", + " and the parameters are [-2.97400849 4.02497316] -5.274410787440076 ;\n", + "Epoch 670/1000, Cost: 2.9180\n", + " and the parameters are [-2.97403974 4.02498083] -5.274406499882433 ;\n", + "Epoch 670/1000, Cost: 0.9126\n", + " and the parameters are [-2.97403641 4.02503177] -5.27438874293279 ;\n", + "Epoch 670/1000, Cost: 1.6057\n", + " and the parameters are [-2.97405559 4.02500195] -5.2744261347956565 ;\n", + "Epoch 670/1000, Cost: 7.2163\n", + " and the parameters are [-2.97406814 4.02485847] -5.274516203052943 ;\n", + "Epoch 670/1000, Cost: 2.7586\n", + " and the parameters are [-2.9741013 4.02483391] -5.27453664721242 ;\n", + "Epoch 670/1000, Cost: 4.5418\n", + " and the parameters are [-2.97408395 4.02477993] -5.274594174681853 ;\n", + "Epoch 670/1000, Cost: 5.4549\n", + " and the parameters are [-2.97408732 4.02487416] -5.274531206735439 ;\n", + "Epoch 670/1000, Cost: 1.8513\n", + " and the parameters are [-2.97407229 4.02486374] -5.27456458752388 ;\n", + "Epoch 670/1000, Cost: 1.6356\n", + " and the parameters are [-2.97408096 4.02490977] -5.274554835512804 ;\n", + "Epoch 670/1000, Cost: 5.4319\n", + " and the parameters are [-2.97404619 4.024865 ] -5.274616872944439 ;\n", + "Epoch 670/1000, Cost: 4.3462\n", + " and the parameters are [-2.97403921 4.02491325] -5.274603894500895 ;\n", + "Epoch 670/1000, Cost: 1.9427\n", + " and the parameters are [-2.97403484 4.02498482] -5.274585752072299 ;\n", + "Epoch 670/1000, Cost: 5.5072\n", + " and the parameters are [-2.97401018 4.02499533] -5.274587760762106 ;\n", + "Epoch 670/1000, Cost: 2.8913\n", + " and the parameters are [-2.9739858 4.02507209] -5.27457200277486 ;\n", + "Epoch 670/1000, Cost: 6.8073\n", + " and the parameters are [-2.97400709 4.02511705] -5.2745297738241685 ;\n", + "Epoch 670/1000, Cost: 3.1004\n", + " and the parameters are [-2.9740326 4.02509153] -5.274550663322524 ;\n", + "Epoch 670/1000, Cost: 0.9474\n", + " and the parameters are [-2.97404588 4.02506894] -5.27458006433918 ;\n", + "Epoch 670/1000, Cost: 3.2477\n", + " and the parameters are [-2.97408622 4.02513445] -5.274521380600574 ;\n", + "Epoch 670/1000, Cost: 1.7803\n", + " and the parameters are [-2.97408506 4.02511532] -5.274566036501954 ;\n", + "Epoch 670/1000, Cost: 1.7118\n", + " and the parameters are [-2.97413362 4.02507961] -5.274593125822218 ;\n", + "Epoch 670/1000, Cost: 5.1991\n", + " and the parameters are [-2.97426836 4.02495238] -5.274619463507849 ;\n", + "Epoch 670/1000, Cost: 6.3516\n", + " and the parameters are [-2.97436977 4.02476329] -5.274702220052812 ;\n", + "Epoch 670/1000, Cost: 3.9032\n", + " and the parameters are [-2.97432962 4.02471817] -5.274786059752896 ;\n", + "Epoch 670/1000, Cost: 3.3440\n", + " and the parameters are [-2.97438244 4.0247556 ] -5.274750820760185 ;\n", + "Epoch 670/1000, Cost: 1.0124\n", + " and the parameters are [-2.97439978 4.02477096] -5.274753771070715 ;\n", + "Epoch 670/1000, Cost: 2.6153\n", + " and the parameters are [-2.97436805 4.02485486] -5.274734707167251 ;\n", + "Epoch 670/1000, Cost: 3.2576\n", + " and the parameters are [-2.97432517 4.02482124] -5.2748031544656815 ;\n", + "Epoch 670/1000, Cost: 3.9986\n", + " and the parameters are [-2.97422599 4.024812 ] -5.274862048631347 ;\n", + "Epoch 670/1000, Cost: 3.7985\n", + " and the parameters are [-2.97423135 4.02484068] -5.274854855406515 ;\n", + "Epoch 670/1000, Cost: 1.2211\n", + " and the parameters are [-2.97424283 4.02484669] -5.274867255958741 ;\n", + "Epoch 670/1000, Cost: 3.0255\n", + " and the parameters are [-2.97415836 4.02495179] -5.274847445472718 ;\n", + "Epoch 670/1000, Cost: 3.0517\n", + " and the parameters are [-2.97415025 4.02491355] -5.274914702431096 ;\n", + "Epoch 670/1000, Cost: 3.0605\n", + " and the parameters are [-2.97412987 4.02488992] -5.274974920154147 ;\n", + "Epoch 670/1000, Cost: 1.4963\n", + " and the parameters are [-2.97416801 4.0249153 ] -5.274965538088899 ;\n", + "Epoch 670/1000, Cost: 3.2896\n", + " and the parameters are [-2.97419798 4.02484395] -5.275021371748464 ;\n", + "Epoch 670/1000, Cost: 2.7853\n", + " and the parameters are [-2.97426775 4.02479417] -5.275044910781018 ;\n", + "Epoch 680/1000, Cost: 4.5866\n", + " and the parameters are [-2.98492282 4.03817759] -5.294074619437933 ;\n", + "Epoch 680/1000, Cost: 2.9034\n", + " and the parameters are [-2.98497858 4.0382338 ] -5.294034639861122 ;\n", + "Epoch 680/1000, Cost: 1.6623\n", + " and the parameters are [-2.9849527 4.03823494] -5.294069616187207 ;\n", + "Epoch 680/1000, Cost: 2.0233\n", + " and the parameters are [-2.98493864 4.0382896 ] -5.294058925997703 ;\n", + "Epoch 680/1000, Cost: 2.8596\n", + " and the parameters are [-2.98498199 4.03820319] -5.29412837199418 ;\n", + "Epoch 680/1000, Cost: 1.7962\n", + " and the parameters are [-2.98497739 4.03828433] -5.294102560347323 ;\n", + "Epoch 680/1000, Cost: 2.3737\n", + " and the parameters are [-2.98489536 4.03832685] -5.294140492717944 ;\n", + "Epoch 680/1000, Cost: 2.8761\n", + " and the parameters are [-2.98490609 4.03822609] -5.29423173094028 ;\n", + "Epoch 680/1000, Cost: 2.8275\n", + " and the parameters are [-2.98492672 4.03827043] -5.294219356191303 ;\n", + "Epoch 680/1000, Cost: 1.7717\n", + " and the parameters are [-2.98495886 4.03829214] -5.294198570077451 ;\n", + "Epoch 680/1000, Cost: 4.8504\n", + " and the parameters are [-2.98497036 4.03820365] -5.2942747192600015 ;\n", + "Epoch 680/1000, Cost: 1.9429\n", + " and the parameters are [-2.98499681 4.0381481 ] -5.294333112819489 ;\n", + "Epoch 680/1000, Cost: 5.1205\n", + " and the parameters are [-2.98494139 4.03814577] -5.294366391326761 ;\n", + "Epoch 680/1000, Cost: 0.8218\n", + " and the parameters are [-2.98493973 4.03815834] -5.294379176555174 ;\n", + "Epoch 680/1000, Cost: 2.2561\n", + " and the parameters are [-2.98498598 4.03807967] -5.294434557370165 ;\n", + "Epoch 680/1000, Cost: 2.1727\n", + " and the parameters are [-2.98496341 4.03818312] -5.294397034881884 ;\n", + "Epoch 680/1000, Cost: 1.6866\n", + " and the parameters are [-2.98492711 4.03818016] -5.294442864035603 ;\n", + "Epoch 680/1000, Cost: 2.9860\n", + " and the parameters are [-2.98488861 4.03819063] -5.294467984680337 ;\n", + "Epoch 680/1000, Cost: 2.9012\n", + " and the parameters are [-2.98487463 4.03818594] -5.294507006504411 ;\n", + "Epoch 680/1000, Cost: 1.8322\n", + " and the parameters are [-2.98491613 4.03815754] -5.294535171215313 ;\n", + "Epoch 680/1000, Cost: 2.5183\n", + " and the parameters are [-2.98490159 4.03817453] -5.29455925647926 ;\n", + "Epoch 680/1000, Cost: 2.6226\n", + " and the parameters are [-2.98484541 4.03820185] -5.294592573794372 ;\n", + "Epoch 680/1000, Cost: 3.5071\n", + " and the parameters are [-2.98483008 4.03830102] -5.29455192713403 ;\n", + "Epoch 680/1000, Cost: 3.9199\n", + " and the parameters are [-2.98492408 4.03817193] -5.294617051686849 ;\n", + "Epoch 680/1000, Cost: 1.8526\n", + " and the parameters are [-2.98492174 4.03827617] -5.294561835600852 ;\n", + "Epoch 680/1000, Cost: 2.1073\n", + " and the parameters are [-2.9849115 4.03829276] -5.294584951704009 ;\n", + "Epoch 680/1000, Cost: 1.4827\n", + " and the parameters are [-2.98486084 4.03835947] -5.294589717940345 ;\n", + "Epoch 680/1000, Cost: 5.1024\n", + " and the parameters are [-2.98496212 4.03820899] -5.294639793732255 ;\n", + "Epoch 680/1000, Cost: 0.8655\n", + " and the parameters are [-2.98496523 4.03822108] -5.29464830804512 ;\n", + "Epoch 680/1000, Cost: 5.2203\n", + " and the parameters are [-2.98497242 4.03804361] -5.294777033761229 ;\n", + "Epoch 680/1000, Cost: 5.1439\n", + " and the parameters are [-2.98497961 4.03797717] -5.294826721387784 ;\n", + "Epoch 680/1000, Cost: 2.0454\n", + " and the parameters are [-2.98497054 4.03796206] -5.294867300227794 ;\n", + "Epoch 680/1000, Cost: 2.9117\n", + " and the parameters are [-2.98501844 4.03789482] -5.294918557188509 ;\n", + "Epoch 680/1000, Cost: 1.2786\n", + " and the parameters are [-2.98500172 4.03795662] -5.294909778647028 ;\n", + "Epoch 680/1000, Cost: 6.1403\n", + " and the parameters are [-2.98518747 4.03784801] -5.294888539872899 ;\n", + "Epoch 680/1000, Cost: 2.3521\n", + " and the parameters are [-2.98522939 4.03786268] -5.294880662515585 ;\n", + "Epoch 680/1000, Cost: 4.7138\n", + " and the parameters are [-2.98510852 4.03799498] -5.294876959651412 ;\n", + "Epoch 680/1000, Cost: 4.0326\n", + " and the parameters are [-2.98510671 4.03802896] -5.294885187485267 ;\n", + "Epoch 680/1000, Cost: 2.1386\n", + " and the parameters are [-2.9851436 4.03802075] -5.294899213559815 ;\n", + "Epoch 680/1000, Cost: 3.2591\n", + " and the parameters are [-2.9851611 4.03807836] -5.2948753029066395 ;\n", + "Epoch 680/1000, Cost: 3.3014\n", + " and the parameters are [-2.98522258 4.03806583] -5.29486737048661 ;\n", + "Epoch 680/1000, Cost: 6.9146\n", + " and the parameters are [-2.98517161 4.0380908 ] -5.294856512072287 ;\n", + "Epoch 680/1000, Cost: 6.5038\n", + " and the parameters are [-2.9851935 4.03809092] -5.294836300265667 ;\n", + "Epoch 680/1000, Cost: 2.7953\n", + " and the parameters are [-2.98515231 4.03825136] -5.294769346405449 ;\n", + "Epoch 680/1000, Cost: 1.7778\n", + " and the parameters are [-2.98517334 4.03823552] -5.294797572304724 ;\n", + "Epoch 680/1000, Cost: 3.0620\n", + " and the parameters are [-2.98516712 4.03825858] -5.294806259759073 ;\n", + "Epoch 680/1000, Cost: 2.1494\n", + " and the parameters are [-2.98517247 4.03822266] -5.294859337464824 ;\n", + "Epoch 680/1000, Cost: 2.7770\n", + " and the parameters are [-2.98521001 4.03825571] -5.2948404944022744 ;\n", + "Epoch 680/1000, Cost: 0.8863\n", + " and the parameters are [-2.98522335 4.03823607] -5.294868238713608 ;\n", + "Epoch 680/1000, Cost: 1.8871\n", + " and the parameters are [-2.98522786 4.0382775 ] -5.294853395990163 ;\n", + "Epoch 680/1000, Cost: 1.5935\n", + " and the parameters are [-2.98526531 4.03828714] -5.294847785705535 ;\n", + "Epoch 680/1000, Cost: 3.1776\n", + " and the parameters are [-2.98520484 4.03822135] -5.294957452863894 ;\n", + "Epoch 680/1000, Cost: 6.0939\n", + " and the parameters are [-2.98522753 4.03819285] -5.294955421467137 ;\n", + "Epoch 680/1000, Cost: 3.5315\n", + " and the parameters are [-2.98524318 4.03818763] -5.294963477920808 ;\n", + "Epoch 680/1000, Cost: 1.6899\n", + " and the parameters are [-2.98522346 4.03817328] -5.295010222906164 ;\n", + "Epoch 680/1000, Cost: 2.1469\n", + " and the parameters are [-2.98523774 4.03818464] -5.295019162356282 ;\n", + "Epoch 680/1000, Cost: 1.7589\n", + " and the parameters are [-2.98521991 4.03818509] -5.295054505616197 ;\n", + "Epoch 680/1000, Cost: 1.7827\n", + " and the parameters are [-2.98524848 4.03815651] -5.295080127510714 ;\n", + "Epoch 680/1000, Cost: 4.4190\n", + " and the parameters are [-2.98527927 4.03830966] -5.294960808627087 ;\n", + "Epoch 680/1000, Cost: 3.7236\n", + " and the parameters are [-2.98531558 4.0381992 ] -5.295044979911955 ;\n", + "Epoch 680/1000, Cost: 2.6663\n", + " and the parameters are [-2.98534253 4.03823597] -5.295031261568259 ;\n", + "Epoch 680/1000, Cost: 2.0926\n", + " and the parameters are [-2.98538966 4.03827017] -5.295007890520105 ;\n", + "Epoch 680/1000, Cost: 7.0853\n", + " and the parameters are [-2.98522891 4.0383727 ] -5.295013497238172 ;\n", + "Epoch 680/1000, Cost: 1.6225\n", + " and the parameters are [-2.98521825 4.03836747] -5.295051577931104 ;\n", + "Epoch 680/1000, Cost: 3.3165\n", + " and the parameters are [-2.98518807 4.03834808] -5.295118346223985 ;\n", + "Epoch 680/1000, Cost: 2.8010\n", + " and the parameters are [-2.98514973 4.038331 ] -5.2951776408324225 ;\n", + "Epoch 680/1000, Cost: 2.7802\n", + " and the parameters are [-2.98515881 4.03845447] -5.295117941724584 ;\n", + "Epoch 680/1000, Cost: 2.0136\n", + " and the parameters are [-2.98518533 4.03844434] -5.295139062260556 ;\n", + "Epoch 680/1000, Cost: 1.7740\n", + " and the parameters are [-2.98514715 4.03850071] -5.295139920555934 ;\n", + "Epoch 680/1000, Cost: 2.5159\n", + " and the parameters are [-2.98517838 4.03849229] -5.295160069580116 ;\n", + "Epoch 680/1000, Cost: 3.4557\n", + " and the parameters are [-2.98514772 4.03851435] -5.295173653346117 ;\n", + "Epoch 680/1000, Cost: 2.8253\n", + " and the parameters are [-2.98512481 4.03855239] -5.295177727607651 ;\n", + "Epoch 680/1000, Cost: 4.3626\n", + " and the parameters are [-2.98513227 4.03847597] -5.295237899863028 ;\n", + "Epoch 680/1000, Cost: 1.5394\n", + " and the parameters are [-2.98511467 4.03852697] -5.295234887167677 ;\n", + "Epoch 680/1000, Cost: 2.4393\n", + " and the parameters are [-2.98511099 4.03857378] -5.295233119070338 ;\n", + "Epoch 680/1000, Cost: 3.0695\n", + " and the parameters are [-2.98510255 4.03860579] -5.295235783847386 ;\n", + "Epoch 680/1000, Cost: 1.0408\n", + " and the parameters are [-2.98507772 4.03868623] -5.2952151240952565 ;\n", + "Epoch 680/1000, Cost: 3.7344\n", + " and the parameters are [-2.98510671 4.03868068] -5.295226703632578 ;\n", + "Epoch 680/1000, Cost: 4.7429\n", + " and the parameters are [-2.9851455 4.03864687] -5.295251803570714 ;\n", + "Epoch 680/1000, Cost: 9.8538\n", + " and the parameters are [-2.98527464 4.03843319] -5.295302497528492 ;\n", + "Epoch 680/1000, Cost: 2.1830\n", + " and the parameters are [-2.9852917 4.03841727] -5.295326406393867 ;\n", + "Epoch 680/1000, Cost: 2.5424\n", + " and the parameters are [-2.98519899 4.0384751 ] -5.295349645875827 ;\n", + "Epoch 680/1000, Cost: 1.6119\n", + " and the parameters are [-2.98522565 4.03848166] -5.295362933223961 ;\n", + "Epoch 680/1000, Cost: 2.4125\n", + " and the parameters are [-2.98525109 4.03844498] -5.295405929109523 ;\n", + "Epoch 680/1000, Cost: 3.0505\n", + " and the parameters are [-2.98524882 4.0384891 ] -5.295394914410366 ;\n", + "Epoch 680/1000, Cost: 6.2619\n", + " and the parameters are [-2.9852153 4.03849609] -5.2954027692820995 ;\n", + "Epoch 680/1000, Cost: 2.7839\n", + " and the parameters are [-2.98517151 4.03857969] -5.2953850459250775 ;\n", + "Epoch 680/1000, Cost: 1.7552\n", + " and the parameters are [-2.9852083 4.03855293] -5.295416326106393 ;\n", + "Epoch 680/1000, Cost: 3.3512\n", + " and the parameters are [-2.9851349 4.03868605] -5.295381317432411 ;\n", + "Epoch 680/1000, Cost: 2.2330\n", + " and the parameters are [-2.98518303 4.03862063] -5.295422727601672 ;\n", + "Epoch 680/1000, Cost: 5.0751\n", + " and the parameters are [-2.9852088 4.03870962] -5.29536439029548 ;\n", + "Epoch 680/1000, Cost: 1.3193\n", + " and the parameters are [-2.98524555 4.03867945] -5.295393599472255 ;\n", + "Epoch 680/1000, Cost: 4.9496\n", + " and the parameters are [-2.98535137 4.03856633] -5.295426012585259 ;\n", + "Epoch 680/1000, Cost: 3.3667\n", + " and the parameters are [-2.9853644 4.03853299] -5.2954730590158885 ;\n", + "Epoch 680/1000, Cost: 1.0247\n", + " and the parameters are [-2.98537112 4.0385773 ] -5.295449588252371 ;\n", + "Epoch 680/1000, Cost: 4.7760\n", + " and the parameters are [-2.98537141 4.03850688] -5.295521579859609 ;\n", + "Epoch 680/1000, Cost: 2.1542\n", + " and the parameters are [-2.98536935 4.03862551] -5.295454973437358 ;\n", + "Epoch 680/1000, Cost: 4.2954\n", + " and the parameters are [-2.98545742 4.03860575] -5.295440047061741 ;\n", + "Epoch 680/1000, Cost: 4.4984\n", + " and the parameters are [-2.98549911 4.03857246] -5.295458829502938 ;\n", + "Epoch 680/1000, Cost: 3.3911\n", + " and the parameters are [-2.98556711 4.03850566] -5.295498970089 ;\n", + "Epoch 680/1000, Cost: 5.1037\n", + " and the parameters are [-2.98567914 4.0383848 ] -5.295522105933751 ;\n", + "Epoch 680/1000, Cost: 8.4186\n", + " and the parameters are [-2.98566467 4.03847584] -5.295422122161223 ;\n", + "Epoch 680/1000, Cost: 2.1962\n", + " and the parameters are [-2.98573353 4.03844516] -5.295427644214021 ;\n", + "Epoch 680/1000, Cost: 5.1019\n", + " and the parameters are [-2.9857819 4.03836427] -5.295463630885728 ;\n", + "Epoch 680/1000, Cost: 2.9451\n", + " and the parameters are [-2.98581567 4.03835239] -5.295493707117235 ;\n", + "Epoch 680/1000, Cost: 2.5788\n", + " and the parameters are [-2.98582565 4.03841362] -5.295451138510017 ;\n", + "Epoch 680/1000, Cost: 3.7589\n", + " and the parameters are [-2.98586059 4.03833428] -5.2955159786001955 ;\n", + "Epoch 680/1000, Cost: 2.1883\n", + " and the parameters are [-2.98583483 4.03841963] -5.295484037854882 ;\n", + "Epoch 680/1000, Cost: 3.7728\n", + " and the parameters are [-2.98587981 4.03832752] -5.295555394423536 ;\n", + "Epoch 680/1000, Cost: 5.0196\n", + " and the parameters are [-2.98587186 4.03833855] -5.295557694992268 ;\n", + "Epoch 680/1000, Cost: 11.3781\n", + " and the parameters are [-2.98594036 4.03828962] -5.295510862959596 ;\n", + "Epoch 680/1000, Cost: 3.0636\n", + " and the parameters are [-2.98598207 4.03817518] -5.295596390592781 ;\n", + "Epoch 680/1000, Cost: 4.1600\n", + " and the parameters are [-2.98599044 4.03815714] -5.295625371012053 ;\n", + "Epoch 680/1000, Cost: 1.2160\n", + " and the parameters are [-2.98597708 4.03819627] -5.295627567789095 ;\n", + "Epoch 680/1000, Cost: 1.2141\n", + " and the parameters are [-2.98597982 4.03818163] -5.295653861304098 ;\n", + "Epoch 680/1000, Cost: 2.3487\n", + " and the parameters are [-2.98591406 4.03829152] -5.295632008112138 ;\n", + "Epoch 680/1000, Cost: 2.0216\n", + " and the parameters are [-2.98591541 4.03835658] -5.295611433583195 ;\n", + "Epoch 680/1000, Cost: 2.3340\n", + " and the parameters are [-2.98591221 4.03831993] -5.295668467419581 ;\n", + "Epoch 680/1000, Cost: 1.2902\n", + " and the parameters are [-2.98589243 4.03835346] -5.295678115535178 ;\n", + "Epoch 680/1000, Cost: 2.8188\n", + " and the parameters are [-2.98586268 4.03834365] -5.295721998012533 ;\n", + "Epoch 680/1000, Cost: 4.6922\n", + " and the parameters are [-2.9859563 4.03825022] -5.295758874453314 ;\n", + "Epoch 680/1000, Cost: 1.5496\n", + " and the parameters are [-2.98598651 4.03820497] -5.295808919578427 ;\n", + "Epoch 680/1000, Cost: 3.0556\n", + " and the parameters are [-2.98605343 4.03824035] -5.29576169812277 ;\n", + "Epoch 680/1000, Cost: 1.2860\n", + " and the parameters are [-2.98606686 4.03825472] -5.295773301562472 ;\n", + "Epoch 680/1000, Cost: 1.9763\n", + " and the parameters are [-2.98605699 4.0382956 ] -5.295779282924194 ;\n", + "Epoch 680/1000, Cost: 3.2699\n", + " and the parameters are [-2.9860436 4.03830427] -5.29580138989669 ;\n", + "Epoch 680/1000, Cost: 3.4019\n", + " and the parameters are [-2.98607383 4.03821716] -5.295873560803576 ;\n", + "Epoch 680/1000, Cost: 1.4639\n", + " and the parameters are [-2.98606345 4.03824928] -5.2958741035017685 ;\n", + "Epoch 680/1000, Cost: 3.0180\n", + " and the parameters are [-2.98607258 4.03821417] -5.295915320476484 ;\n", + "Epoch 680/1000, Cost: 3.2969\n", + " and the parameters are [-2.98596296 4.0381893 ] -5.296005852084537 ;\n", + "Epoch 680/1000, Cost: 3.0804\n", + " and the parameters are [-2.98591912 4.03835465] -5.295922397832975 ;\n", + "Epoch 680/1000, Cost: 8.0020\n", + " and the parameters are [-2.98598584 4.03820892] -5.2960055658554115 ;\n", + "Epoch 680/1000, Cost: 3.1451\n", + " and the parameters are [-2.98593324 4.03826759] -5.296012213505895 ;\n", + "Epoch 680/1000, Cost: 2.6280\n", + " and the parameters are [-2.98588244 4.03841745] -5.295954281185079 ;\n", + "Epoch 680/1000, Cost: 3.3779\n", + " and the parameters are [-2.98586528 4.03852597] -5.295903615759751 ;\n", + "Epoch 680/1000, Cost: 2.3452\n", + " and the parameters are [-2.9858893 4.03847199] -5.295971372206606 ;\n", + "Epoch 680/1000, Cost: 1.1342\n", + " and the parameters are [-2.9859139 4.038444 ] -5.29599730658721 ;\n", + "Epoch 680/1000, Cost: 3.0720\n", + " and the parameters are [-2.98597154 4.03842586] -5.2960183221961055 ;\n", + "Epoch 680/1000, Cost: 3.8269\n", + " and the parameters are [-2.98596777 4.03844886] -5.296015279795831 ;\n", + "Epoch 680/1000, Cost: 2.5642\n", + " and the parameters are [-2.98599668 4.03840494] -5.29605490954483 ;\n", + "Epoch 680/1000, Cost: 4.8044\n", + " and the parameters are [-2.98593567 4.0383978 ] -5.296112724681437 ;\n", + "Epoch 680/1000, Cost: 6.8822\n", + " and the parameters are [-2.98597304 4.03833 ] -5.296135418598642 ;\n", + "Epoch 680/1000, Cost: 1.7753\n", + " and the parameters are [-2.98594318 4.038356 ] -5.296159565390634 ;\n", + "Epoch 680/1000, Cost: 3.1935\n", + " and the parameters are [-2.98595973 4.03840892] -5.296118750812857 ;\n", + "Epoch 680/1000, Cost: 3.9577\n", + " and the parameters are [-2.98601056 4.03834112] -5.296161763575129 ;\n", + "Epoch 680/1000, Cost: 3.4740\n", + " and the parameters are [-2.98604182 4.0383432 ] -5.296165610861916 ;\n", + "Epoch 680/1000, Cost: 5.4948\n", + " and the parameters are [-2.98610451 4.03849168] -5.296033395589971 ;\n", + "Epoch 680/1000, Cost: 1.6024\n", + " and the parameters are [-2.98610777 4.03852117] -5.296034226934476 ;\n", + "Epoch 680/1000, Cost: 2.8171\n", + " and the parameters are [-2.98611554 4.03856461] -5.296019113381235 ;\n", + "Epoch 680/1000, Cost: 5.1881\n", + " and the parameters are [-2.98616903 4.03857112] -5.295998655571854 ;\n", + "Epoch 680/1000, Cost: 0.9133\n", + " and the parameters are [-2.98617645 4.03857432] -5.296014209285453 ;\n", + "Epoch 680/1000, Cost: 3.4381\n", + " and the parameters are [-2.98617772 4.03853597] -5.296049744510623 ;\n", + "Epoch 680/1000, Cost: 5.2110\n", + " and the parameters are [-2.98608358 4.03852248] -5.296119153577015 ;\n", + "Epoch 680/1000, Cost: 2.0684\n", + " and the parameters are [-2.98608203 4.03855711] -5.296121406525369 ;\n", + "Epoch 680/1000, Cost: 5.6313\n", + " and the parameters are [-2.98601395 4.03853653] -5.296179972600368 ;\n", + "Epoch 680/1000, Cost: 2.3227\n", + " and the parameters are [-2.98596894 4.03860939] -5.29618089139096 ;\n", + "Epoch 680/1000, Cost: 4.8242\n", + " and the parameters are [-2.9859097 4.03873414] -5.296117305826502 ;\n", + "Epoch 680/1000, Cost: 2.0316\n", + " and the parameters are [-2.98592219 4.03877396] -5.296114136224488 ;\n", + "Epoch 680/1000, Cost: 4.1067\n", + " and the parameters are [-2.98599337 4.03864699] -5.296193164949732 ;\n", + "Epoch 680/1000, Cost: 8.1569\n", + " and the parameters are [-2.98599743 4.03843529] -5.296330425689058 ;\n", + "Epoch 680/1000, Cost: 1.3694\n", + " and the parameters are [-2.98600759 4.03848588] -5.2963065088497885 ;\n", + "Epoch 680/1000, Cost: 1.1221\n", + " and the parameters are [-2.98599945 4.03854933] -5.296285927001952 ;\n", + "Epoch 680/1000, Cost: 3.0403\n", + " and the parameters are [-2.98599429 4.03847455] -5.296365694992601 ;\n", + "Epoch 680/1000, Cost: 1.7492\n", + " and the parameters are [-2.98600386 4.03849222] -5.2963731897968405 ;\n", + "Epoch 680/1000, Cost: 3.0919\n", + " and the parameters are [-2.98605757 4.03850123] -5.296356816475454 ;\n", + "Epoch 680/1000, Cost: 1.9518\n", + " and the parameters are [-2.98613195 4.03847566] -5.296359346309118 ;\n", + "Epoch 680/1000, Cost: 2.8764\n", + " and the parameters are [-2.98611394 4.03843755] -5.296417737054758 ;\n", + "Epoch 680/1000, Cost: 2.1222\n", + " and the parameters are [-2.98610509 4.03847949] -5.296424303954856 ;\n", + "Epoch 680/1000, Cost: 5.0729\n", + " and the parameters are [-2.98597727 4.03858918] -5.296413885531968 ;\n", + "Epoch 680/1000, Cost: 3.4681\n", + " and the parameters are [-2.98601986 4.03858148] -5.296415031794624 ;\n", + "Epoch 680/1000, Cost: 3.6231\n", + " and the parameters are [-2.98599722 4.03870299] -5.296354660288303 ;\n", + "Epoch 680/1000, Cost: 0.9097\n", + " and the parameters are [-2.98600817 4.03873075] -5.296351077454641 ;\n", + "Epoch 680/1000, Cost: 1.4377\n", + " and the parameters are [-2.98599379 4.03877067] -5.296362845417701 ;\n", + "Epoch 680/1000, Cost: 1.9092\n", + " and the parameters are [-2.98607096 4.03867936] -5.296404214696193 ;\n", + "Epoch 680/1000, Cost: 1.8195\n", + " and the parameters are [-2.98602724 4.03873955] -5.296414683377384 ;\n", + "Epoch 680/1000, Cost: 2.3994\n", + " and the parameters are [-2.98603778 4.03878599] -5.296398362697187 ;\n", + "Epoch 680/1000, Cost: 1.7940\n", + " and the parameters are [-2.98604623 4.03879736] -5.296412772577052 ;\n", + "Epoch 680/1000, Cost: 6.9045\n", + " and the parameters are [-2.98601136 4.03873564] -5.296468858952164 ;\n", + "Epoch 680/1000, Cost: 2.5616\n", + " and the parameters are [-2.98597543 4.03889579] -5.29639632402006 ;\n", + "Epoch 680/1000, Cost: 1.5381\n", + " and the parameters are [-2.98596402 4.03898308] -5.296355024185965 ;\n", + "Epoch 680/1000, Cost: 1.9077\n", + " and the parameters are [-2.98598954 4.03896409] -5.296392898561499 ;\n", + "Epoch 680/1000, Cost: 3.1418\n", + " and the parameters are [-2.98595276 4.03911171] -5.296322836233521 ;\n", + "Epoch 680/1000, Cost: 2.2396\n", + " and the parameters are [-2.98602035 4.03909032] -5.296322646651182 ;\n", + "Epoch 680/1000, Cost: 5.3833\n", + " and the parameters are [-2.98598556 4.03911615] -5.29633960669425 ;\n", + "Epoch 680/1000, Cost: 2.2910\n", + " and the parameters are [-2.98596662 4.0391644 ] -5.296340936904259 ;\n", + "Epoch 680/1000, Cost: 3.8289\n", + " and the parameters are [-2.98597389 4.03919072] -5.296341385972662 ;\n", + "Epoch 680/1000, Cost: 1.4603\n", + " and the parameters are [-2.98604555 4.03916807] -5.296337676972836 ;\n", + "Epoch 680/1000, Cost: 2.2886\n", + " and the parameters are [-2.9860484 4.03912191] -5.296407164792594 ;\n", + "Epoch 680/1000, Cost: 2.4527\n", + " and the parameters are [-2.98612716 4.03915982] -5.296356392215195 ;\n", + "Epoch 680/1000, Cost: 2.3348\n", + " and the parameters are [-2.98611043 4.03925402] -5.29632425780522 ;\n", + "Epoch 680/1000, Cost: 2.1437\n", + " and the parameters are [-2.98613454 4.03932016] -5.296297784584685 ;\n", + "Epoch 680/1000, Cost: 2.6634\n", + " and the parameters are [-2.9861594 4.03931005] -5.296321331159725 ;\n", + "Epoch 680/1000, Cost: 2.1742\n", + " and the parameters are [-2.98617905 4.03938161] -5.2962818185790566 ;\n", + "Epoch 680/1000, Cost: 3.9072\n", + " and the parameters are [-2.98611023 4.03940815] -5.2963030004995355 ;\n", + "Epoch 680/1000, Cost: 3.4367\n", + " and the parameters are [-2.98609284 4.0394364 ] -5.296304286966639 ;\n", + "Epoch 680/1000, Cost: 2.9259\n", + " and the parameters are [-2.98611045 4.03937152] -5.296359773934992 ;\n", + "Epoch 680/1000, Cost: 3.6979\n", + " and the parameters are [-2.98615436 4.03951522] -5.29624146070109 ;\n", + "Epoch 680/1000, Cost: 5.9257\n", + " and the parameters are [-2.98615981 4.03955869] -5.296194769964108 ;\n", + "Epoch 680/1000, Cost: 3.2040\n", + " and the parameters are [-2.98612295 4.03956847] -5.2962245232675365 ;\n", + "Epoch 680/1000, Cost: 2.4601\n", + " and the parameters are [-2.98612946 4.03962611] -5.296181048568998 ;\n", + "Epoch 690/1000, Cost: 1.6603\n", + " and the parameters are [-2.99665508 4.05279826] -5.314981661025025 ;\n", + "Epoch 690/1000, Cost: 4.7336\n", + " and the parameters are [-2.9966504 4.05268752] -5.315083884614501 ;\n", + "Epoch 690/1000, Cost: 2.6348\n", + " and the parameters are [-2.99664005 4.05278462] -5.3150333313099996 ;\n", + "Epoch 690/1000, Cost: 2.1275\n", + " and the parameters are [-2.99662206 4.0528438 ] -5.315022976932066 ;\n", + "Epoch 690/1000, Cost: 1.4888\n", + " and the parameters are [-2.99666474 4.0528546 ] -5.315019020345748 ;\n", + "Epoch 690/1000, Cost: 3.9928\n", + " and the parameters are [-2.99670901 4.0528332 ] -5.315025801342272 ;\n", + "Epoch 690/1000, Cost: 2.3777\n", + " and the parameters are [-2.99674287 4.05280099] -5.315052694540077 ;\n", + "Epoch 690/1000, Cost: 6.0638\n", + " and the parameters are [-2.99686543 4.05258053] -5.315154132505549 ;\n", + "Epoch 690/1000, Cost: 1.7640\n", + " and the parameters are [-2.99683148 4.05260917] -5.315178297108414 ;\n", + "Epoch 690/1000, Cost: 5.2751\n", + " and the parameters are [-2.99678357 4.05264119] -5.315197426187672 ;\n", + "Epoch 690/1000, Cost: 4.3467\n", + " and the parameters are [-2.99678818 4.05267978] -5.315185916463484 ;\n", + "Epoch 690/1000, Cost: 2.6852\n", + " and the parameters are [-2.99677308 4.05277854] -5.315140593821261 ;\n", + "Epoch 690/1000, Cost: 4.7205\n", + " and the parameters are [-2.99687033 4.0525959 ] -5.315246775259467 ;\n", + "Epoch 690/1000, Cost: 1.3493\n", + " and the parameters are [-2.99688541 4.05262042] -5.315245001247857 ;\n", + "Epoch 690/1000, Cost: 2.0892\n", + " and the parameters are [-2.99689092 4.05267864] -5.3152300849526775 ;\n", + "Epoch 690/1000, Cost: 1.4879\n", + " and the parameters are [-2.99691269 4.05268277] -5.315241585766077 ;\n", + "Epoch 690/1000, Cost: 2.6500\n", + " and the parameters are [-2.99694316 4.05269406] -5.315242112184897 ;\n", + "Epoch 690/1000, Cost: 3.8819\n", + " and the parameters are [-2.99690664 4.05271562] -5.315274629130259 ;\n", + "Epoch 690/1000, Cost: 1.9714\n", + " and the parameters are [-2.99694381 4.05270483] -5.315293157957841 ;\n", + "Epoch 690/1000, Cost: 1.4563\n", + " and the parameters are [-2.99694402 4.05272781] -5.315303337181505 ;\n", + "Epoch 690/1000, Cost: 1.8716\n", + " and the parameters are [-2.99695572 4.05267767] -5.315352591067738 ;\n", + "Epoch 690/1000, Cost: 3.9231\n", + " and the parameters are [-2.99699363 4.0526604 ] -5.315352859441388 ;\n", + "Epoch 690/1000, Cost: 1.1748\n", + " and the parameters are [-2.99699187 4.05272463] -5.315332115593472 ;\n", + "Epoch 690/1000, Cost: 1.6671\n", + " and the parameters are [-2.99700299 4.05277721] -5.315313180039611 ;\n", + "Epoch 690/1000, Cost: 2.9197\n", + " and the parameters are [-2.99692368 4.05280101] -5.315371358851833 ;\n", + "Epoch 690/1000, Cost: 1.5476\n", + " and the parameters are [-2.99693855 4.0527927 ] -5.315397276305664 ;\n", + "Epoch 690/1000, Cost: 2.6801\n", + " and the parameters are [-2.99692163 4.05280337] -5.315418512284817 ;\n", + "Epoch 690/1000, Cost: 2.4160\n", + " and the parameters are [-2.99688072 4.05283294] -5.315450916982086 ;\n", + "Epoch 690/1000, Cost: 2.8206\n", + " and the parameters are [-2.99688221 4.05292346] -5.315393750333639 ;\n", + "Epoch 690/1000, Cost: 4.7350\n", + " and the parameters are [-2.99687123 4.05287161] -5.3154484534387745 ;\n", + "Epoch 690/1000, Cost: 2.0608\n", + " and the parameters are [-2.99684738 4.05289161] -5.315468638094268 ;\n", + "Epoch 690/1000, Cost: 1.8426\n", + " and the parameters are [-2.996908 4.05291005] -5.315458205974981 ;\n", + "Epoch 690/1000, Cost: 1.5362\n", + " and the parameters are [-2.99692663 4.05293305] -5.315462744277817 ;\n", + "Epoch 690/1000, Cost: 1.4775\n", + " and the parameters are [-2.996913 4.05295315] -5.315475848615505 ;\n", + "Epoch 690/1000, Cost: 2.0228\n", + " and the parameters are [-2.99688528 4.05305603] -5.3154467113448876 ;\n", + "Epoch 690/1000, Cost: 2.7991\n", + " and the parameters are [-2.99677143 4.05316011] -5.315459883003698 ;\n", + "Epoch 690/1000, Cost: 1.3128\n", + " and the parameters are [-2.99674448 4.05318604] -5.315479477532742 ;\n", + "Epoch 690/1000, Cost: 5.1078\n", + " and the parameters are [-2.99678276 4.0531787 ] -5.315448139256727 ;\n", + "Epoch 690/1000, Cost: 1.3322\n", + " and the parameters are [-2.996781 4.05322687] -5.315442445720949 ;\n", + "Epoch 690/1000, Cost: 0.9079\n", + " and the parameters are [-2.99677378 4.0533068 ] -5.315410872803129 ;\n", + "Epoch 690/1000, Cost: 0.9104\n", + " and the parameters are [-2.99677358 4.05331196] -5.315429397393187 ;\n", + "Epoch 690/1000, Cost: 1.4916\n", + " and the parameters are [-2.99677391 4.05333747] -5.315438204407356 ;\n", + "Epoch 690/1000, Cost: 4.2321\n", + " and the parameters are [-2.99692133 4.05321686] -5.315468372008028 ;\n", + "Epoch 690/1000, Cost: 3.3213\n", + " and the parameters are [-2.99699671 4.05310308] -5.315531048059843 ;\n", + "Epoch 690/1000, Cost: 5.4965\n", + " and the parameters are [-2.99700782 4.05303399] -5.315559764934686 ;\n", + "Epoch 690/1000, Cost: 2.0080\n", + " and the parameters are [-2.9969983 4.05312216] -5.315528382966243 ;\n", + "Epoch 690/1000, Cost: 1.8692\n", + " and the parameters are [-2.99696314 4.05317368] -5.3155331053921655 ;\n", + "Epoch 690/1000, Cost: 4.6321\n", + " and the parameters are [-2.99691057 4.05319171] -5.31555582828542 ;\n", + "Epoch 690/1000, Cost: 8.2731\n", + " and the parameters are [-2.99687687 4.05324619] -5.315507952542127 ;\n", + "Epoch 690/1000, Cost: 1.5789\n", + " and the parameters are [-2.99684807 4.05329023] -5.315513906341977 ;\n", + "Epoch 690/1000, Cost: 2.9657\n", + " and the parameters are [-2.9969056 4.05326556] -5.315525999646205 ;\n", + "Epoch 690/1000, Cost: 3.4519\n", + " and the parameters are [-2.99693671 4.05330099] -5.315491918976415 ;\n", + "Epoch 690/1000, Cost: 3.1673\n", + " and the parameters are [-2.99696601 4.05316634] -5.315605053613672 ;\n", + "Epoch 690/1000, Cost: 3.8060\n", + " and the parameters are [-2.99697671 4.05320135] -5.315589635560204 ;\n", + "Epoch 690/1000, Cost: 5.2884\n", + " and the parameters are [-2.99688294 4.05326979] -5.315594251981132 ;\n", + "Epoch 690/1000, Cost: 1.8918\n", + " and the parameters are [-2.99685303 4.05333899] -5.315586731161384 ;\n", + "Epoch 690/1000, Cost: 2.1859\n", + " and the parameters are [-2.99683105 4.05340736] -5.315571636905002 ;\n", + "Epoch 690/1000, Cost: 1.7517\n", + " and the parameters are [-2.99685126 4.05338532] -5.315604152911533 ;\n", + "Epoch 690/1000, Cost: 7.6148\n", + " and the parameters are [-2.99704379 4.05319752] -5.3156290308467815 ;\n", + "Epoch 690/1000, Cost: 2.1748\n", + " and the parameters are [-2.99708348 4.05317609] -5.315646507136899 ;\n", + "Epoch 690/1000, Cost: 2.0378\n", + " and the parameters are [-2.99707018 4.05327863] -5.315596246784034 ;\n", + "Epoch 690/1000, Cost: 1.9810\n", + " and the parameters are [-2.99713256 4.0532743 ] -5.315594976033443 ;\n", + "Epoch 690/1000, Cost: 2.2297\n", + " and the parameters are [-2.99714739 4.05319585] -5.315676532855723 ;\n", + "Epoch 690/1000, Cost: 0.9109\n", + " and the parameters are [-2.99716666 4.05321886] -5.3156711661603975 ;\n", + "Epoch 690/1000, Cost: 3.0484\n", + " and the parameters are [-2.99717453 4.05332683] -5.315610908577778 ;\n", + "Epoch 690/1000, Cost: 1.3710\n", + " and the parameters are [-2.99720996 4.05327446] -5.3156533287519805 ;\n", + "Epoch 690/1000, Cost: 2.3578\n", + " and the parameters are [-2.99719596 4.05333494] -5.31563272148516 ;\n", + "Epoch 690/1000, Cost: 2.4809\n", + " and the parameters are [-2.99722291 4.05332647] -5.3156430120158396 ;\n", + "Epoch 690/1000, Cost: 3.8547\n", + " and the parameters are [-2.99728917 4.05335939] -5.315603711476656 ;\n", + "Epoch 690/1000, Cost: 1.4903\n", + " and the parameters are [-2.99730769 4.05338835] -5.315600990656624 ;\n", + "Epoch 690/1000, Cost: 8.0610\n", + " and the parameters are [-2.99729435 4.05330093] -5.315652792140184 ;\n", + "Epoch 690/1000, Cost: 2.1236\n", + " and the parameters are [-2.99732307 4.05325789] -5.315691899585031 ;\n", + "Epoch 690/1000, Cost: 1.3330\n", + " and the parameters are [-2.99737878 4.05327837] -5.315669020374566 ;\n", + "Epoch 690/1000, Cost: 1.6765\n", + " and the parameters are [-2.99740056 4.0532851 ] -5.315675696664018 ;\n", + "Epoch 690/1000, Cost: 1.0695\n", + " and the parameters are [-2.99736445 4.05332154] -5.315692127495974 ;\n", + "Epoch 690/1000, Cost: 5.8920\n", + " and the parameters are [-2.99737617 4.05328512] -5.315719822241209 ;\n", + "Epoch 690/1000, Cost: 1.2702\n", + " and the parameters are [-2.99739968 4.05332048] -5.315706584295452 ;\n", + "Epoch 690/1000, Cost: 1.4005\n", + " and the parameters are [-2.99739395 4.05333532] -5.31572204260704 ;\n", + "Epoch 690/1000, Cost: 2.0118\n", + " and the parameters are [-2.99741218 4.05331062] -5.315760233403859 ;\n", + "Epoch 690/1000, Cost: 1.8829\n", + " and the parameters are [-2.9973899 4.05331396] -5.315786635651977 ;\n", + "Epoch 690/1000, Cost: 7.1203\n", + " and the parameters are [-2.99739526 4.05335729] -5.315745439463253 ;\n", + "Epoch 690/1000, Cost: 2.8047\n", + " and the parameters are [-2.99739767 4.05333991] -5.315774738858696 ;\n", + "Epoch 690/1000, Cost: 2.5790\n", + " and the parameters are [-2.9973981 4.05333045] -5.315805501229846 ;\n", + "Epoch 690/1000, Cost: 2.1482\n", + " and the parameters are [-2.99741923 4.05337579] -5.315781966346042 ;\n", + "Epoch 690/1000, Cost: 1.4579\n", + " and the parameters are [-2.99746418 4.05332178] -5.315823814481864 ;\n", + "Epoch 690/1000, Cost: 2.4636\n", + " and the parameters are [-2.99750265 4.0532204 ] -5.315905229108049 ;\n", + "Epoch 690/1000, Cost: 2.6638\n", + " and the parameters are [-2.99748651 4.05328792] -5.315890059036497 ;\n", + "Epoch 690/1000, Cost: 2.8372\n", + " and the parameters are [-2.99753179 4.0533118 ] -5.315865625344977 ;\n", + "Epoch 690/1000, Cost: 2.5288\n", + " and the parameters are [-2.997529 4.05324267] -5.315948342233847 ;\n", + "Epoch 690/1000, Cost: 1.5141\n", + " and the parameters are [-2.99758263 4.05324096] -5.315948478030464 ;\n", + "Epoch 690/1000, Cost: 1.5414\n", + " and the parameters are [-2.99757257 4.05327449] -5.31596023156143 ;\n", + "Epoch 690/1000, Cost: 1.4915\n", + " and the parameters are [-2.997595 4.05328792] -5.315965505576709 ;\n", + "Epoch 690/1000, Cost: 1.1812\n", + " and the parameters are [-2.99759755 4.0532807 ] -5.315996710704651 ;\n", + "Epoch 690/1000, Cost: 1.9437\n", + " and the parameters are [-2.99761375 4.05324795] -5.316031669683175 ;\n", + "Epoch 690/1000, Cost: 3.8747\n", + " and the parameters are [-2.99757368 4.05318975] -5.316102536793896 ;\n", + "Epoch 690/1000, Cost: 8.7331\n", + " and the parameters are [-2.99744783 4.05319946] -5.316114539070787 ;\n", + "Epoch 690/1000, Cost: 3.1504\n", + " and the parameters are [-2.99742077 4.05315451] -5.316186715139929 ;\n", + "Epoch 690/1000, Cost: 1.4774\n", + " and the parameters are [-2.99741528 4.0531642 ] -5.316207011303008 ;\n", + "Epoch 690/1000, Cost: 4.2826\n", + " and the parameters are [-2.99727232 4.05326924] -5.316244021504987 ;\n", + "Epoch 690/1000, Cost: 5.7302\n", + " and the parameters are [-2.99727621 4.05326935] -5.3162687647432065 ;\n", + "Epoch 690/1000, Cost: 1.8902\n", + " and the parameters are [-2.99722507 4.05339029] -5.316237745096366 ;\n", + "Epoch 690/1000, Cost: 3.5080\n", + " and the parameters are [-2.99726653 4.05325197] -5.316342306478929 ;\n", + "Epoch 690/1000, Cost: 3.3178\n", + " and the parameters are [-2.99720463 4.0533968 ] -5.316292891064244 ;\n", + "Epoch 690/1000, Cost: 2.5753\n", + " and the parameters are [-2.99710887 4.05355268] -5.316250048049059 ;\n", + "Epoch 690/1000, Cost: 2.2805\n", + " and the parameters are [-2.99712919 4.05358158] -5.316243968956957 ;\n", + "Epoch 690/1000, Cost: 5.3554\n", + " and the parameters are [-2.99710026 4.05376703] -5.3161414862264005 ;\n", + "Epoch 690/1000, Cost: 4.3834\n", + " and the parameters are [-2.9971705 4.05364787] -5.316198735419837 ;\n", + "Epoch 690/1000, Cost: 1.7037\n", + " and the parameters are [-2.99714283 4.05369212] -5.316210544548367 ;\n", + "Epoch 690/1000, Cost: 4.2761\n", + " and the parameters are [-2.99725856 4.05361544] -5.316205181074861 ;\n", + "Epoch 690/1000, Cost: 1.3856\n", + " and the parameters are [-2.99727202 4.05361863] -5.316220610422598 ;\n", + "Epoch 690/1000, Cost: 2.8221\n", + " and the parameters are [-2.99733806 4.0536185 ] -5.316204152199661 ;\n", + "Epoch 690/1000, Cost: 2.1068\n", + " and the parameters are [-2.99735629 4.05369121] -5.316174765413919 ;\n", + "Epoch 690/1000, Cost: 4.4358\n", + " and the parameters are [-2.99741192 4.05360982] -5.316225797525671 ;\n", + "Epoch 690/1000, Cost: 2.6881\n", + " and the parameters are [-2.99736807 4.05367252] -5.316237714953248 ;\n", + "Epoch 690/1000, Cost: 4.5752\n", + " and the parameters are [-2.99726007 4.05363173] -5.316318430092949 ;\n", + "Epoch 690/1000, Cost: 1.6371\n", + " and the parameters are [-2.99730943 4.05365317] -5.316297851636421 ;\n", + "Epoch 690/1000, Cost: 5.1151\n", + " and the parameters are [-2.99722755 4.05355239] -5.316435318847719 ;\n", + "Epoch 690/1000, Cost: 2.6500\n", + " and the parameters are [-2.99720373 4.05361972] -5.316423067037915 ;\n", + "Epoch 690/1000, Cost: 5.7391\n", + " and the parameters are [-2.99717863 4.05359743] -5.316471692959037 ;\n", + "Epoch 690/1000, Cost: 2.1343\n", + " and the parameters are [-2.99715728 4.05364891] -5.316476767357848 ;\n", + "Epoch 690/1000, Cost: 10.6881\n", + " and the parameters are [-2.99726178 4.05366416] -5.31635976257773 ;\n", + "Epoch 690/1000, Cost: 3.3000\n", + " and the parameters are [-2.99725002 4.05372349] -5.316345382387006 ;\n", + "Epoch 690/1000, Cost: 2.1131\n", + " and the parameters are [-2.99722778 4.05381159] -5.316325908178224 ;\n", + "Epoch 690/1000, Cost: 2.4217\n", + " and the parameters are [-2.99722106 4.05385898] -5.316324617501733 ;\n", + "Epoch 690/1000, Cost: 3.5535\n", + " and the parameters are [-2.99720203 4.0538571 ] -5.316350028453343 ;\n", + "Epoch 690/1000, Cost: 5.8019\n", + " and the parameters are [-2.99722354 4.05389005] -5.316308356565179 ;\n", + "Epoch 690/1000, Cost: 2.5068\n", + " and the parameters are [-2.99722075 4.05393729] -5.31630526013887 ;\n", + "Epoch 690/1000, Cost: 3.6545\n", + " and the parameters are [-2.99719656 4.05403834] -5.316270339037542 ;\n", + "Epoch 690/1000, Cost: 1.8285\n", + " and the parameters are [-2.99718461 4.05411208] -5.316255105832773 ;\n", + "Epoch 690/1000, Cost: 2.3357\n", + " and the parameters are [-2.99727043 4.05409685] -5.316243076422921 ;\n", + "Epoch 690/1000, Cost: 2.1835\n", + " and the parameters are [-2.99729213 4.05416872] -5.316194732768016 ;\n", + "Epoch 690/1000, Cost: 1.9489\n", + " and the parameters are [-2.99730208 4.05416539] -5.316214061355928 ;\n", + "Epoch 690/1000, Cost: 1.5969\n", + " and the parameters are [-2.99733356 4.05421119] -5.316189039413849 ;\n", + "Epoch 690/1000, Cost: 3.7344\n", + " and the parameters are [-2.99734213 4.05423015] -5.31617363049996 ;\n", + "Epoch 690/1000, Cost: 3.6395\n", + " and the parameters are [-2.99738046 4.05421923] -5.316166144995537 ;\n", + "Epoch 690/1000, Cost: 1.2449\n", + " and the parameters are [-2.99742012 4.05419997] -5.316185601727129 ;\n", + "Epoch 690/1000, Cost: 5.7222\n", + " and the parameters are [-2.99737736 4.0542291 ] -5.316181499395427 ;\n", + "Epoch 690/1000, Cost: 5.9902\n", + " and the parameters are [-2.99737545 4.05411796] -5.316258757454639 ;\n", + "Epoch 690/1000, Cost: 5.9095\n", + " and the parameters are [-2.99730556 4.05410537] -5.316315546202228 ;\n", + "Epoch 690/1000, Cost: 5.8114\n", + " and the parameters are [-2.99723214 4.05415323] -5.316323007648952 ;\n", + "Epoch 690/1000, Cost: 2.6203\n", + " and the parameters are [-2.99723203 4.05409879] -5.316394524835685 ;\n", + "Epoch 690/1000, Cost: 4.8209\n", + " and the parameters are [-2.99718407 4.05396627] -5.316537298372682 ;\n", + "Epoch 690/1000, Cost: 3.6561\n", + " and the parameters are [-2.99718811 4.05394897] -5.316558794273431 ;\n", + "Epoch 690/1000, Cost: 3.2071\n", + " and the parameters are [-2.99713663 4.05392446] -5.316640224234429 ;\n", + "Epoch 690/1000, Cost: 3.6978\n", + " and the parameters are [-2.99719452 4.05390725] -5.316658166308675 ;\n", + "Epoch 690/1000, Cost: 4.7681\n", + " and the parameters are [-2.99706029 4.05402705] -5.316660771481874 ;\n", + "Epoch 690/1000, Cost: 3.9403\n", + " and the parameters are [-2.99709142 4.05397975] -5.316691287659901 ;\n", + "Epoch 690/1000, Cost: 3.4225\n", + " and the parameters are [-2.99720638 4.05380394] -5.316752785170067 ;\n", + "Epoch 690/1000, Cost: 2.4591\n", + " and the parameters are [-2.99719888 4.05382681] -5.316768747207711 ;\n", + "Epoch 690/1000, Cost: 4.3251\n", + " and the parameters are [-2.99732623 4.05369379] -5.316822337091762 ;\n", + "Epoch 690/1000, Cost: 2.9443\n", + " and the parameters are [-2.99732125 4.053637 ] -5.316885279322957 ;\n", + "Epoch 690/1000, Cost: 1.2714\n", + " and the parameters are [-2.99730408 4.05367617] -5.31688791378595 ;\n", + "Epoch 690/1000, Cost: 5.3995\n", + " and the parameters are [-2.99734798 4.05357729] -5.316942458018582 ;\n", + "Epoch 690/1000, Cost: 5.9386\n", + " and the parameters are [-2.99748304 4.05349841] -5.316943219636521 ;\n", + "Epoch 690/1000, Cost: 1.1270\n", + " and the parameters are [-2.99750215 4.05352415] -5.316937183645403 ;\n", + "Epoch 690/1000, Cost: 2.3728\n", + " and the parameters are [-2.9975127 4.05355226] -5.316927142245384 ;\n", + "Epoch 690/1000, Cost: 2.8626\n", + " and the parameters are [-2.9975715 4.0535319] -5.316934383971368 ;\n", + "Epoch 690/1000, Cost: 2.6551\n", + " and the parameters are [-2.9975434 4.05367059] -5.31687848964365 ;\n", + "Epoch 690/1000, Cost: 1.3539\n", + " and the parameters are [-2.99756283 4.05370648] -5.316867581823315 ;\n", + "Epoch 690/1000, Cost: 1.5204\n", + " and the parameters are [-2.99758676 4.05367231] -5.316898973877717 ;\n", + "Epoch 690/1000, Cost: 4.5880\n", + " and the parameters are [-2.99759362 4.05356226] -5.31700123938384 ;\n", + "Epoch 690/1000, Cost: 1.7089\n", + " and the parameters are [-2.99759961 4.05358616] -5.3170040549999245 ;\n", + "Epoch 690/1000, Cost: 4.7280\n", + " and the parameters are [-2.99758986 4.05367868] -5.316953859942198 ;\n", + "Epoch 690/1000, Cost: 2.1868\n", + " and the parameters are [-2.99756585 4.05372671] -5.316950733774776 ;\n", + "Epoch 690/1000, Cost: 2.8638\n", + " and the parameters are [-2.99762898 4.0537354 ] -5.316925644818023 ;\n", + "Epoch 690/1000, Cost: 4.4720\n", + " and the parameters are [-2.99769872 4.05379703] -5.3168614409769575 ;\n", + "Epoch 690/1000, Cost: 3.1950\n", + " and the parameters are [-2.9977395 4.05373939] -5.316909814621565 ;\n", + "Epoch 690/1000, Cost: 3.0876\n", + " and the parameters are [-2.99778575 4.05371938] -5.316940517302578 ;\n", + "Epoch 690/1000, Cost: 2.7330\n", + " and the parameters are [-2.99781733 4.05376874] -5.316914464014129 ;\n", + "Epoch 690/1000, Cost: 2.8394\n", + " and the parameters are [-2.99779837 4.05380866] -5.316925870598674 ;\n", + "Epoch 690/1000, Cost: 2.3920\n", + " and the parameters are [-2.9977505 4.05380971] -5.316968108178827 ;\n", + "Epoch 690/1000, Cost: 4.5691\n", + " and the parameters are [-2.99775817 4.05393281] -5.316874334033795 ;\n", + "Epoch 690/1000, Cost: 5.6244\n", + " and the parameters are [-2.99779872 4.05393659] -5.316846749026783 ;\n", + "Epoch 690/1000, Cost: 3.1829\n", + " and the parameters are [-2.99778532 4.05395032] -5.316863801771566 ;\n", + "Epoch 690/1000, Cost: 1.9334\n", + " and the parameters are [-2.99781419 4.05393145] -5.316885364723584 ;\n", + "Epoch 690/1000, Cost: 3.5532\n", + " and the parameters are [-2.9977719 4.0540656] -5.316831394210226 ;\n", + "Epoch 690/1000, Cost: 5.8695\n", + " and the parameters are [-2.99779449 4.05394822] -5.316906462503696 ;\n", + "Epoch 690/1000, Cost: 6.0920\n", + " and the parameters are [-2.99770402 4.05399674] -5.316914441195987 ;\n", + "Epoch 690/1000, Cost: 3.7114\n", + " and the parameters are [-2.99772914 4.05395423] -5.31694478753614 ;\n", + "Epoch 690/1000, Cost: 1.9473\n", + " and the parameters are [-2.99777458 4.05401338] -5.316891326749539 ;\n", + "Epoch 690/1000, Cost: 3.5898\n", + " and the parameters are [-2.99786331 4.05393876] -5.316925826732902 ;\n", + "Epoch 690/1000, Cost: 2.7666\n", + " and the parameters are [-2.99788607 4.0539063 ] -5.316970690255911 ;\n", + "Epoch 690/1000, Cost: 3.2699\n", + " and the parameters are [-2.99786323 4.054035 ] -5.316907365868111 ;\n", + "Epoch 690/1000, Cost: 2.7272\n", + " and the parameters are [-2.9979049 4.05412943] -5.316828098449613 ;\n", + "Epoch 690/1000, Cost: 2.0258\n", + " and the parameters are [-2.9979701 4.05414674] -5.316804965723698 ;\n", + "Epoch 690/1000, Cost: 2.0701\n", + " and the parameters are [-2.99799044 4.0542357 ] -5.31675659260427 ;\n", + "Epoch 690/1000, Cost: 1.8578\n", + " and the parameters are [-2.99801868 4.05428126] -5.316727539790403 ;\n", + "Epoch 690/1000, Cost: 5.8793\n", + " and the parameters are [-2.99791245 4.05419738] -5.3168437764623215 ;\n", + "Epoch 690/1000, Cost: 3.3048\n", + " and the parameters are [-2.99784702 4.05424279] -5.316865978170686 ;\n", + "Epoch 690/1000, Cost: 3.5792\n", + " and the parameters are [-2.99781302 4.05422662] -5.316898224515547 ;\n", + "Epoch 690/1000, Cost: 2.9809\n", + " and the parameters are [-2.99781492 4.05422044] -5.316923133433821 ;\n", + "Epoch 690/1000, Cost: 4.0500\n", + " and the parameters are [-2.99783044 4.0541948 ] -5.316940752733155 ;\n", + "Epoch 690/1000, Cost: 1.8839\n", + " and the parameters are [-2.99785256 4.05426501] -5.316907230121045 ;\n", + "Epoch 690/1000, Cost: 3.2059\n", + " and the parameters are [-2.99782025 4.05426772] -5.316943837520241 ;\n", + "Epoch 690/1000, Cost: 3.6698\n", + " and the parameters are [-2.99779028 4.05424284] -5.316988789688726 ;\n", + "Epoch 690/1000, Cost: 5.4993\n", + " and the parameters are [-2.99777543 4.0542148 ] -5.31702275550303 ;\n", + "Epoch 690/1000, Cost: 2.9293\n", + " and the parameters are [-2.99783984 4.05413816] -5.317052084368803 ;\n", + "Epoch 690/1000, Cost: 2.0490\n", + " and the parameters are [-2.99783141 4.05416849] -5.3170637443501185 ;\n", + "Epoch 690/1000, Cost: 6.8368\n", + " and the parameters are [-2.99784037 4.05412518] -5.317070715556498 ;\n", + "Epoch 690/1000, Cost: 2.8594\n", + " and the parameters are [-2.99781534 4.05427276] -5.317006043356457 ;\n", + "Epoch 700/1000, Cost: 4.1476\n", + " and the parameters are [-3.00814769 4.06718788] -5.335604568297413 ;\n", + "Epoch 700/1000, Cost: 1.5209\n", + " and the parameters are [-3.00815636 4.06721541] -5.335613188916279 ;\n", + "Epoch 700/1000, Cost: 1.1114\n", + " and the parameters are [-3.00813563 4.06723575] -5.3356360842898045 ;\n", + "Epoch 700/1000, Cost: 1.0135\n", + " and the parameters are [-3.00814035 4.06729558] -5.3356111084849065 ;\n", + "Epoch 700/1000, Cost: 1.7810\n", + " and the parameters are [-3.00816733 4.06728361] -5.335630973173909 ;\n", + "Epoch 700/1000, Cost: 5.2617\n", + " and the parameters are [-3.00816558 4.06733363] -5.335594569810755 ;\n", + "Epoch 700/1000, Cost: 2.2674\n", + " and the parameters are [-3.00820925 4.06730004] -5.335626505210577 ;\n", + "Epoch 700/1000, Cost: 0.8594\n", + " and the parameters are [-3.00822023 4.06731389] -5.335630479239837 ;\n", + "Epoch 700/1000, Cost: 3.2470\n", + " and the parameters are [-3.00827111 4.06726968] -5.335666712445189 ;\n", + "Epoch 700/1000, Cost: 5.6201\n", + " and the parameters are [-3.00828231 4.06719043] -5.335722961449064 ;\n", + "Epoch 700/1000, Cost: 4.8659\n", + " and the parameters are [-3.00838868 4.06705542] -5.335775326460564 ;\n", + "Epoch 700/1000, Cost: 8.0828\n", + " and the parameters are [-3.00844444 4.06715929] -5.335648048105459 ;\n", + "Epoch 700/1000, Cost: 1.9266\n", + " and the parameters are [-3.00844485 4.06712787] -5.335698564133821 ;\n", + "Epoch 700/1000, Cost: 4.4537\n", + " and the parameters are [-3.00854287 4.06698021] -5.335767009170322 ;\n", + "Epoch 700/1000, Cost: 2.6529\n", + " and the parameters are [-3.00859922 4.0669553 ] -5.335771395042031 ;\n", + "Epoch 700/1000, Cost: 1.6892\n", + " and the parameters are [-3.00862845 4.06689319] -5.335819062463349 ;\n", + "Epoch 700/1000, Cost: 2.8368\n", + " and the parameters are [-3.00863107 4.06689786] -5.335835914659361 ;\n", + "Epoch 700/1000, Cost: 3.3150\n", + " and the parameters are [-3.00875904 4.06683614] -5.335820852845505 ;\n", + "Epoch 700/1000, Cost: 1.5577\n", + " and the parameters are [-3.00881376 4.06683983] -5.335814760339429 ;\n", + "Epoch 700/1000, Cost: 3.1936\n", + " and the parameters are [-3.00883521 4.06688578] -5.335784046094065 ;\n", + "Epoch 700/1000, Cost: 2.4173\n", + " and the parameters are [-3.00886051 4.06691332] -5.335776257135275 ;\n", + "Epoch 700/1000, Cost: 2.8386\n", + " and the parameters are [-3.00883339 4.06695469] -5.335790278266477 ;\n", + "Epoch 700/1000, Cost: 2.1235\n", + " and the parameters are [-3.00882394 4.06691424] -5.3358537961986485 ;\n", + "Epoch 700/1000, Cost: 4.9135\n", + " and the parameters are [-3.00872932 4.06689132] -5.335913723785192 ;\n", + "Epoch 700/1000, Cost: 2.7791\n", + " and the parameters are [-3.00873934 4.06688076] -5.335940632501667 ;\n", + "Epoch 700/1000, Cost: 1.4612\n", + " and the parameters are [-3.00874652 4.06683609] -5.3359759472542425 ;\n", + "Epoch 700/1000, Cost: 1.1245\n", + " and the parameters are [-3.00873409 4.06690056] -5.335960645990679 ;\n", + "Epoch 700/1000, Cost: 2.4271\n", + " and the parameters are [-3.00879283 4.06685136] -5.335997998181227 ;\n", + "Epoch 700/1000, Cost: 2.4539\n", + " and the parameters are [-3.00877199 4.06691737] -5.335975092855995 ;\n", + "Epoch 700/1000, Cost: 6.2016\n", + " and the parameters are [-3.00880858 4.066843 ] -5.336033184015256 ;\n", + "Epoch 700/1000, Cost: 3.0848\n", + " and the parameters are [-3.00876576 4.06684366] -5.3360913745408896 ;\n", + "Epoch 700/1000, Cost: 2.2365\n", + " and the parameters are [-3.00884576 4.06683942] -5.336076754711907 ;\n", + "Epoch 700/1000, Cost: 3.5862\n", + " and the parameters are [-3.00884704 4.06692799] -5.336038941921728 ;\n", + "Epoch 700/1000, Cost: 2.6883\n", + " and the parameters are [-3.00881396 4.06700102] -5.336033899653154 ;\n", + "Epoch 700/1000, Cost: 2.2423\n", + " and the parameters are [-3.0088244 4.06693391] -5.336096216135417 ;\n", + "Epoch 700/1000, Cost: 2.7950\n", + " and the parameters are [-3.00879475 4.066981 ] -5.336109126531347 ;\n", + "Epoch 700/1000, Cost: 5.5494\n", + " and the parameters are [-3.00863746 4.06696391] -5.336215372024055 ;\n", + "Epoch 700/1000, Cost: 2.9631\n", + " and the parameters are [-3.00870115 4.06696242] -5.336209212091524 ;\n", + "Epoch 700/1000, Cost: 2.1528\n", + " and the parameters are [-3.00866508 4.06703437] -5.336200591402763 ;\n", + "Epoch 700/1000, Cost: 2.7869\n", + " and the parameters are [-3.00873731 4.0669554 ] -5.3362517750936584 ;\n", + "Epoch 700/1000, Cost: 2.7560\n", + " and the parameters are [-3.00877826 4.06696299] -5.33624988518992 ;\n", + "Epoch 700/1000, Cost: 3.0945\n", + " and the parameters are [-3.00879487 4.06697856] -5.336251575928212 ;\n", + "Epoch 700/1000, Cost: 3.5200\n", + " and the parameters are [-3.0087839 4.06690527] -5.336343384687495 ;\n", + "Epoch 700/1000, Cost: 2.9145\n", + " and the parameters are [-3.00881866 4.06683676] -5.336406372482837 ;\n", + "Epoch 700/1000, Cost: 1.8854\n", + " and the parameters are [-3.00886369 4.066858 ] -5.336391955020029 ;\n", + "Epoch 700/1000, Cost: 0.9955\n", + " and the parameters are [-3.00886102 4.06685086] -5.336415758461722 ;\n", + "Epoch 700/1000, Cost: 1.7801\n", + " and the parameters are [-3.00885522 4.06688804] -5.336420680401136 ;\n", + "Epoch 700/1000, Cost: 2.6110\n", + " and the parameters are [-3.00881965 4.0668904 ] -5.336447770671659 ;\n", + "Epoch 700/1000, Cost: 1.3849\n", + " and the parameters are [-3.00884549 4.06694794] -5.336415331187776 ;\n", + "Epoch 700/1000, Cost: 2.6044\n", + " and the parameters are [-3.00884468 4.06693517] -5.336442297122557 ;\n", + "Epoch 700/1000, Cost: 1.6508\n", + " and the parameters are [-3.00886183 4.06696198] -5.336445370061779 ;\n", + "Epoch 700/1000, Cost: 3.8490\n", + " and the parameters are [-3.00886964 4.06685602] -5.336539352054791 ;\n", + "Epoch 700/1000, Cost: 1.2953\n", + " and the parameters are [-3.00891198 4.06684432] -5.336550462982524 ;\n", + "Epoch 700/1000, Cost: 1.8638\n", + " and the parameters are [-3.00896158 4.06680878] -5.33657655602634 ;\n", + "Epoch 700/1000, Cost: 4.4530\n", + " and the parameters are [-3.00896844 4.06694474] -5.336487456131935 ;\n", + "Epoch 700/1000, Cost: 1.6928\n", + " and the parameters are [-3.00897141 4.06694801] -5.336512028897755 ;\n", + "Epoch 700/1000, Cost: 3.2501\n", + " and the parameters are [-3.0089645 4.06696974] -5.336515405088745 ;\n", + "Epoch 700/1000, Cost: 2.6678\n", + " and the parameters are [-3.00891629 4.06701079] -5.336542842507315 ;\n", + "Epoch 700/1000, Cost: 2.0622\n", + " and the parameters are [-3.00892335 4.06706178] -5.336530361448705 ;\n", + "Epoch 700/1000, Cost: 1.1291\n", + " and the parameters are [-3.00891395 4.06710598] -5.336525165782185 ;\n", + "Epoch 700/1000, Cost: 3.2103\n", + " and the parameters are [-3.00880115 4.06723915] -5.336520429906389 ;\n", + "Epoch 700/1000, Cost: 3.9418\n", + " and the parameters are [-3.00867048 4.06730886] -5.336568117523613 ;\n", + "Epoch 700/1000, Cost: 1.0293\n", + " and the parameters are [-3.00871642 4.06725974] -5.336601900475522 ;\n", + "Epoch 700/1000, Cost: 1.5563\n", + " and the parameters are [-3.00868092 4.06731304] -5.33659928603615 ;\n", + "Epoch 700/1000, Cost: 5.5979\n", + " and the parameters are [-3.0085997 4.06726116] -5.336683932494051 ;\n", + "Epoch 700/1000, Cost: 1.4396\n", + " and the parameters are [-3.0086208 4.0672509] -5.336700979156092 ;\n", + "Epoch 700/1000, Cost: 7.6606\n", + " and the parameters are [-3.00872514 4.06716392] -5.336702436846151 ;\n", + "Epoch 700/1000, Cost: 3.8222\n", + " and the parameters are [-3.00872959 4.06721589] -5.336680352171608 ;\n", + "Epoch 700/1000, Cost: 2.4296\n", + " and the parameters are [-3.00873442 4.06727333] -5.336658194858285 ;\n", + "Epoch 700/1000, Cost: 1.8765\n", + " and the parameters are [-3.00877245 4.06721916] -5.336697372114295 ;\n", + "Epoch 700/1000, Cost: 11.6928\n", + " and the parameters are [-3.00884494 4.06735122] -5.336517190691698 ;\n", + "Epoch 700/1000, Cost: 0.9590\n", + " and the parameters are [-3.00886395 4.06735097] -5.336529799966495 ;\n", + "Epoch 700/1000, Cost: 3.1720\n", + " and the parameters are [-3.00886625 4.06739328] -5.336520304023535 ;\n", + "Epoch 700/1000, Cost: 6.1888\n", + " and the parameters are [-3.00886092 4.06723387] -5.336644178642547 ;\n", + "Epoch 700/1000, Cost: 2.9937\n", + " and the parameters are [-3.00880332 4.06737063] -5.3366024052427585 ;\n", + "Epoch 700/1000, Cost: 3.7144\n", + " and the parameters are [-3.00882612 4.06738104] -5.336599953295253 ;\n", + "Epoch 700/1000, Cost: 2.4610\n", + " and the parameters are [-3.00890606 4.0673446 ] -5.336603109358932 ;\n", + "Epoch 700/1000, Cost: 3.5935\n", + " and the parameters are [-3.00890294 4.06746407] -5.336527298538952 ;\n", + "Epoch 700/1000, Cost: 0.9724\n", + " and the parameters are [-3.00892787 4.06745458] -5.336543309478724 ;\n", + "Epoch 700/1000, Cost: 0.9528\n", + " and the parameters are [-3.00895705 4.06746838] -5.336537723075514 ;\n", + "Epoch 700/1000, Cost: 2.7787\n", + " and the parameters are [-3.00895124 4.0674905 ] -5.336556449223876 ;\n", + "Epoch 700/1000, Cost: 1.2987\n", + " and the parameters are [-3.00894124 4.06749746] -5.336572712877656 ;\n", + "Epoch 700/1000, Cost: 5.3307\n", + " and the parameters are [-3.0090221 4.06729033] -5.336705959448043 ;\n", + "Epoch 700/1000, Cost: 1.4316\n", + " and the parameters are [-3.00902708 4.06730506] -5.336714965456646 ;\n", + "Epoch 700/1000, Cost: 4.1901\n", + " and the parameters are [-3.00908752 4.06738744] -5.3366340005426 ;\n", + "Epoch 700/1000, Cost: 5.2039\n", + " and the parameters are [-3.00904912 4.06747464] -5.336579970767998 ;\n", + "Epoch 700/1000, Cost: 3.7812\n", + " and the parameters are [-3.00899074 4.06751491] -5.336608591784083 ;\n", + "Epoch 700/1000, Cost: 5.8497\n", + " and the parameters are [-3.00880543 4.06758338] -5.3366641514321405 ;\n", + "Epoch 700/1000, Cost: 2.1812\n", + " and the parameters are [-3.00879865 4.0676313 ] -5.336654197506468 ;\n", + "Epoch 700/1000, Cost: 5.3063\n", + " and the parameters are [-3.00867874 4.06772161] -5.336659866803164 ;\n", + "Epoch 700/1000, Cost: 4.7885\n", + " and the parameters are [-3.00859889 4.06764034] -5.336781886960916 ;\n", + "Epoch 700/1000, Cost: 2.9489\n", + " and the parameters are [-3.00862382 4.06762153] -5.336801832590939 ;\n", + "Epoch 700/1000, Cost: 2.5013\n", + " and the parameters are [-3.00855422 4.06763816] -5.336852860533813 ;\n", + "Epoch 700/1000, Cost: 4.6583\n", + " and the parameters are [-3.00856535 4.06764143] -5.336843840321777 ;\n", + "Epoch 700/1000, Cost: 1.3666\n", + " and the parameters are [-3.00853686 4.06774779] -5.336806154958344 ;\n", + "Epoch 700/1000, Cost: 2.7279\n", + " and the parameters are [-3.00848347 4.06779554] -5.336822756932389 ;\n", + "Epoch 700/1000, Cost: 0.9130\n", + " and the parameters are [-3.00848394 4.06781299] -5.336831249131684 ;\n", + "Epoch 700/1000, Cost: 2.9741\n", + " and the parameters are [-3.00854055 4.06777785] -5.3368449604815025 ;\n", + "Epoch 700/1000, Cost: 2.6435\n", + " and the parameters are [-3.00859165 4.06783546] -5.336791731703029 ;\n", + "Epoch 700/1000, Cost: 2.1528\n", + " and the parameters are [-3.00862469 4.06777073] -5.336841987292843 ;\n", + "Epoch 700/1000, Cost: 7.5106\n", + " and the parameters are [-3.00859668 4.06773324] -5.336850344263034 ;\n", + "Epoch 700/1000, Cost: 1.2559\n", + " and the parameters are [-3.0085989 4.06777349] -5.336841660680249 ;\n", + "Epoch 700/1000, Cost: 3.1135\n", + " and the parameters are [-3.00861342 4.06775245] -5.336867101812314 ;\n", + "Epoch 700/1000, Cost: 1.6214\n", + " and the parameters are [-3.00861319 4.06780338] -5.336863221267157 ;\n", + "Epoch 700/1000, Cost: 4.6359\n", + " and the parameters are [-3.00871053 4.06767885] -5.3368975700193255 ;\n", + "Epoch 700/1000, Cost: 1.5900\n", + " and the parameters are [-3.00872701 4.06772161] -5.336884587191982 ;\n", + "Epoch 700/1000, Cost: 1.4826\n", + " and the parameters are [-3.008727 4.06776123] -5.336882398927982 ;\n", + "Epoch 700/1000, Cost: 1.8398\n", + " and the parameters are [-3.00867466 4.06780719] -5.336909528100654 ;\n", + "Epoch 700/1000, Cost: 2.6276\n", + " and the parameters are [-3.00875768 4.06772621] -5.336956678966807 ;\n", + "Epoch 700/1000, Cost: 2.3226\n", + " and the parameters are [-3.00877744 4.06768433] -5.3370109468353935 ;\n", + "Epoch 700/1000, Cost: 1.4877\n", + " and the parameters are [-3.00882981 4.06767903] -5.337009570170463 ;\n", + "Epoch 700/1000, Cost: 2.9506\n", + " and the parameters are [-3.00884082 4.06769646] -5.337020196544265 ;\n", + "Epoch 700/1000, Cost: 6.5916\n", + " and the parameters are [-3.008818 4.06763784] -5.337067197100755 ;\n", + "Epoch 700/1000, Cost: 1.8788\n", + " and the parameters are [-3.00882323 4.06765733] -5.337075991742173 ;\n", + "Epoch 700/1000, Cost: 2.3450\n", + " and the parameters are [-3.00880225 4.06763011] -5.337126415237301 ;\n", + "Epoch 700/1000, Cost: 2.1464\n", + " and the parameters are [-3.00882965 4.06758198] -5.337171057199036 ;\n", + "Epoch 700/1000, Cost: 3.8596\n", + " and the parameters are [-3.00883476 4.06750552] -5.337219227607488 ;\n", + "Epoch 700/1000, Cost: 2.1750\n", + " and the parameters are [-3.00883222 4.0675452 ] -5.337220020715841 ;\n", + "Epoch 700/1000, Cost: 5.0470\n", + " and the parameters are [-3.00891005 4.06741345] -5.337302261052599 ;\n", + "Epoch 700/1000, Cost: 1.7102\n", + " and the parameters are [-3.00892524 4.06748177] -5.33726985507829 ;\n", + "Epoch 700/1000, Cost: 4.4766\n", + " and the parameters are [-3.00891879 4.0675023 ] -5.337266686705873 ;\n", + "Epoch 700/1000, Cost: 2.3849\n", + " and the parameters are [-3.0089206 4.06750832] -5.337287996204181 ;\n", + "Epoch 700/1000, Cost: 5.5294\n", + " and the parameters are [-3.00902038 4.06731415] -5.337374641863773 ;\n", + "Epoch 700/1000, Cost: 4.3195\n", + " and the parameters are [-3.00894922 4.06737476] -5.33738778747267 ;\n", + "Epoch 700/1000, Cost: 10.0879\n", + " and the parameters are [-3.00889683 4.06735555] -5.337414105045852 ;\n", + "Epoch 700/1000, Cost: 2.7877\n", + " and the parameters are [-3.00888323 4.06749746] -5.337357434566401 ;\n", + "Epoch 700/1000, Cost: 3.4495\n", + " and the parameters are [-3.00892317 4.06747435] -5.337372662112768 ;\n", + "Epoch 700/1000, Cost: 4.2723\n", + " and the parameters are [-3.0090086 4.06741579] -5.337394429710059 ;\n", + "Epoch 700/1000, Cost: 1.8209\n", + " and the parameters are [-3.00902097 4.06739667] -5.337420914209817 ;\n", + "Epoch 700/1000, Cost: 3.0620\n", + " and the parameters are [-3.00905904 4.06733975] -5.337455751640028 ;\n", + "Epoch 700/1000, Cost: 3.0987\n", + " and the parameters are [-3.009134 4.06717581] -5.337551309574445 ;\n", + "Epoch 700/1000, Cost: 2.9099\n", + " and the parameters are [-3.00910544 4.06726376] -5.337531826050713 ;\n", + "Epoch 700/1000, Cost: 4.5392\n", + " and the parameters are [-3.00909331 4.06735178] -5.337480146504214 ;\n", + "Epoch 700/1000, Cost: 1.2221\n", + " and the parameters are [-3.00910285 4.06738303] -5.337476561362695 ;\n", + "Epoch 700/1000, Cost: 4.6788\n", + " and the parameters are [-3.00904669 4.06750648] -5.337405577245529 ;\n", + "Epoch 700/1000, Cost: 5.4842\n", + " and the parameters are [-3.00917163 4.0673049 ] -5.337483390201507 ;\n", + "Epoch 700/1000, Cost: 5.3447\n", + " and the parameters are [-3.00913954 4.06734411] -5.33747260343524 ;\n", + "Epoch 700/1000, Cost: 2.8790\n", + " and the parameters are [-3.00917532 4.06732397] -5.337495476344935 ;\n", + "Epoch 700/1000, Cost: 2.4447\n", + " and the parameters are [-3.00919754 4.06737909] -5.337467360762176 ;\n", + "Epoch 700/1000, Cost: 3.0341\n", + " and the parameters are [-3.00919438 4.06734201] -5.33751617918455 ;\n", + "Epoch 700/1000, Cost: 0.8509\n", + " and the parameters are [-3.00920177 4.06735469] -5.33752312792905 ;\n", + "Epoch 700/1000, Cost: 1.6053\n", + " and the parameters are [-3.0092 4.06743466] -5.337491786160001 ;\n", + "Epoch 700/1000, Cost: 2.8426\n", + " and the parameters are [-3.00924257 4.06741484] -5.337509740470817 ;\n", + "Epoch 700/1000, Cost: 2.0708\n", + " and the parameters are [-3.0092388 4.06745117] -5.33750776903295 ;\n", + "Epoch 700/1000, Cost: 6.1366\n", + " and the parameters are [-3.00926899 4.06754735] -5.337434335789683 ;\n", + "Epoch 700/1000, Cost: 5.2344\n", + " and the parameters are [-3.00922254 4.0676567 ] -5.337386180419508 ;\n", + "Epoch 700/1000, Cost: 2.1956\n", + " and the parameters are [-3.00921268 4.06774231] -5.337364477704466 ;\n", + "Epoch 700/1000, Cost: 3.1902\n", + " and the parameters are [-3.00919838 4.06780235] -5.337335820999718 ;\n", + "Epoch 700/1000, Cost: 1.7788\n", + " and the parameters are [-3.00922249 4.06777827] -5.3373669262846954 ;\n", + "Epoch 700/1000, Cost: 1.5008\n", + " and the parameters are [-3.00920287 4.06786429] -5.337333766356268 ;\n", + "Epoch 700/1000, Cost: 3.8102\n", + " and the parameters are [-3.00919188 4.06784003] -5.33736717403394 ;\n", + "Epoch 700/1000, Cost: 1.4785\n", + " and the parameters are [-3.00918727 4.06786746] -5.33737852166901 ;\n", + "Epoch 700/1000, Cost: 4.7031\n", + " and the parameters are [-3.00920569 4.06777604] -5.337445435776264 ;\n", + "Epoch 700/1000, Cost: 2.2139\n", + " and the parameters are [-3.00915113 4.06788975] -5.337415802211925 ;\n", + "Epoch 700/1000, Cost: 3.0243\n", + " and the parameters are [-3.00916179 4.06800503] -5.337344913733665 ;\n", + "Epoch 700/1000, Cost: 3.6262\n", + " and the parameters are [-3.00920771 4.06806026] -5.337305204696928 ;\n", + "Epoch 700/1000, Cost: 1.6587\n", + " and the parameters are [-3.00918516 4.06812041] -5.337297621077133 ;\n", + "Epoch 700/1000, Cost: 1.6299\n", + " and the parameters are [-3.00917392 4.06819201] -5.33728210477411 ;\n", + "Epoch 700/1000, Cost: 2.7049\n", + " and the parameters are [-3.00918574 4.06828512] -5.337219938364713 ;\n", + "Epoch 700/1000, Cost: 2.0074\n", + " and the parameters are [-3.00920755 4.06822906] -5.337275736184981 ;\n", + "Epoch 700/1000, Cost: 1.7672\n", + " and the parameters are [-3.00919521 4.06826376] -5.337281031950273 ;\n", + "Epoch 700/1000, Cost: 4.6402\n", + " and the parameters are [-3.00927483 4.06813638] -5.3373704077045465 ;\n", + "Epoch 700/1000, Cost: 2.2905\n", + " and the parameters are [-3.00930902 4.06821371] -5.3373181317658585 ;\n", + "Epoch 700/1000, Cost: 2.1217\n", + " and the parameters are [-3.00934993 4.06820612] -5.337327880916193 ;\n", + "Epoch 700/1000, Cost: 4.0612\n", + " and the parameters are [-3.00933238 4.06825806] -5.337314100251272 ;\n", + "Epoch 700/1000, Cost: 0.7304\n", + " and the parameters are [-3.00933473 4.06828956] -5.337307660679212 ;\n", + "Epoch 700/1000, Cost: 3.0419\n", + " and the parameters are [-3.00930838 4.06824676] -5.337376296310299 ;\n", + "Epoch 700/1000, Cost: 3.8996\n", + " and the parameters are [-3.00936467 4.06812471] -5.337454286687349 ;\n", + "Epoch 700/1000, Cost: 2.3593\n", + " and the parameters are [-3.00942252 4.06807441] -5.337489812125509 ;\n", + "Epoch 700/1000, Cost: 1.5770\n", + " and the parameters are [-3.00941293 4.0681409 ] -5.33747191454761 ;\n", + "Epoch 700/1000, Cost: 2.0764\n", + " and the parameters are [-3.00940956 4.06816447] -5.337490304114323 ;\n", + "Epoch 700/1000, Cost: 2.9405\n", + " and the parameters are [-3.00937108 4.06812234] -5.33756047878735 ;\n", + "Epoch 700/1000, Cost: 3.9414\n", + " and the parameters are [-3.00937056 4.06809697] -5.337591144657946 ;\n", + "Epoch 700/1000, Cost: 2.2637\n", + " and the parameters are [-3.00938055 4.06822942] -5.337518169399421 ;\n", + "Epoch 700/1000, Cost: 0.7955\n", + " and the parameters are [-3.00938381 4.0682656 ] -5.337507684445911 ;\n", + "Epoch 700/1000, Cost: 1.4175\n", + " and the parameters are [-3.00939963 4.0682951 ] -5.337489582430979 ;\n", + "Epoch 700/1000, Cost: 3.7562\n", + " and the parameters are [-3.00937821 4.06842282] -5.337433254193452 ;\n", + "Epoch 700/1000, Cost: 1.5004\n", + " and the parameters are [-3.00939723 4.06847225] -5.337407906944922 ;\n", + "Epoch 700/1000, Cost: 5.3238\n", + " and the parameters are [-3.00937247 4.06838403] -5.337518922460024 ;\n", + "Epoch 700/1000, Cost: 5.7246\n", + " and the parameters are [-3.00937379 4.06836111] -5.337548333025915 ;\n", + "Epoch 700/1000, Cost: 2.0920\n", + " and the parameters are [-3.00939591 4.06837148] -5.337561386289247 ;\n", + "Epoch 700/1000, Cost: 2.3895\n", + " and the parameters are [-3.00940211 4.06840409] -5.337553928381186 ;\n", + "Epoch 700/1000, Cost: 3.2535\n", + " and the parameters are [-3.00935674 4.06830993] -5.337671080835418 ;\n", + "Epoch 700/1000, Cost: 1.7392\n", + " and the parameters are [-3.00930218 4.06837292] -5.337679978062091 ;\n", + "Epoch 700/1000, Cost: 1.9378\n", + " and the parameters are [-3.0093248 4.06838722] -5.33768183257163 ;\n", + "Epoch 700/1000, Cost: 5.1695\n", + " and the parameters are [-3.00932981 4.06833196] -5.33771209025293 ;\n", + "Epoch 700/1000, Cost: 1.8441\n", + " and the parameters are [-3.00934789 4.06836784] -5.337703121985948 ;\n", + "Epoch 700/1000, Cost: 2.6281\n", + " and the parameters are [-3.00940666 4.06838679] -5.337678851099374 ;\n", + "Epoch 700/1000, Cost: 3.2805\n", + " and the parameters are [-3.00940324 4.06834352] -5.33773187122006 ;\n", + "Epoch 700/1000, Cost: 3.9949\n", + " and the parameters are [-3.00931197 4.0685142 ] -5.337660646969681 ;\n", + "Epoch 700/1000, Cost: 5.5630\n", + " and the parameters are [-3.0093472 4.06857008] -5.337582168424365 ;\n", + "Epoch 700/1000, Cost: 2.4021\n", + " and the parameters are [-3.00938091 4.06855834] -5.337597432261113 ;\n", + "Epoch 700/1000, Cost: 4.6100\n", + " and the parameters are [-3.00939165 4.06846428] -5.33767284629869 ;\n", + "Epoch 700/1000, Cost: 1.6233\n", + " and the parameters are [-3.00934842 4.06844343] -5.337735297864209 ;\n", + "Epoch 700/1000, Cost: 4.3611\n", + " and the parameters are [-3.00941667 4.06843501] -5.337713779367736 ;\n", + "Epoch 700/1000, Cost: 2.3120\n", + " and the parameters are [-3.00939256 4.06850829] -5.337690139024932 ;\n", + "Epoch 700/1000, Cost: 4.7761\n", + " and the parameters are [-3.00929983 4.06871695] -5.337601661217834 ;\n", + "Epoch 700/1000, Cost: 13.7256\n", + " and the parameters are [-3.00932092 4.0685933 ] -5.337614810803196 ;\n", + "Epoch 700/1000, Cost: 5.5315\n", + " and the parameters are [-3.00939736 4.06859208] -5.3375768828061885 ;\n", + "Epoch 700/1000, Cost: 3.0161\n", + " and the parameters are [-3.00937078 4.06865437] -5.33756508797947 ;\n", + "Epoch 710/1000, Cost: 2.2915\n", + " and the parameters are [-3.01969492 4.08148713] -5.355768774756007 ;\n", + "Epoch 710/1000, Cost: 1.6092\n", + " and the parameters are [-3.01969314 4.08146594] -5.355808959235203 ;\n", + "Epoch 710/1000, Cost: 2.3644\n", + " and the parameters are [-3.019655 4.08148516] -5.355849869492798 ;\n", + "Epoch 710/1000, Cost: 3.8555\n", + " and the parameters are [-3.01966686 4.08158719] -5.355795522731932 ;\n", + "Epoch 710/1000, Cost: 2.5576\n", + " and the parameters are [-3.01969395 4.08162999] -5.355790608266061 ;\n", + "Epoch 710/1000, Cost: 2.1569\n", + " and the parameters are [-3.01968292 4.08165829] -5.35580560238771 ;\n", + "Epoch 710/1000, Cost: 5.2453\n", + " and the parameters are [-3.01980928 4.08155196] -5.355841355774049 ;\n", + "Epoch 710/1000, Cost: 3.8940\n", + " and the parameters are [-3.01976494 4.08164232] -5.355808986165385 ;\n", + "Epoch 710/1000, Cost: 1.8260\n", + " and the parameters are [-3.01972198 4.08167358] -5.355840123750764 ;\n", + "Epoch 710/1000, Cost: 1.0055\n", + " and the parameters are [-3.01971979 4.08171271] -5.355831594745993 ;\n", + "Epoch 710/1000, Cost: 2.6587\n", + " and the parameters are [-3.01962427 4.08175021] -5.355872274895704 ;\n", + "Epoch 710/1000, Cost: 4.2986\n", + " and the parameters are [-3.01961391 4.0817409 ] -5.35590163512591 ;\n", + "Epoch 710/1000, Cost: 1.2942\n", + " and the parameters are [-3.01958095 4.08180618] -5.355888807169938 ;\n", + "Epoch 710/1000, Cost: 1.6799\n", + " and the parameters are [-3.01956156 4.08187167] -5.3558627289864855 ;\n", + "Epoch 710/1000, Cost: 1.2186\n", + " and the parameters are [-3.01951066 4.0819498 ] -5.355853565568291 ;\n", + "Epoch 710/1000, Cost: 4.2615\n", + " and the parameters are [-3.01948558 4.08196359] -5.35588295332247 ;\n", + "Epoch 710/1000, Cost: 5.1383\n", + " and the parameters are [-3.01945562 4.0820046 ] -5.35587425445044 ;\n", + "Epoch 710/1000, Cost: 4.4494\n", + " and the parameters are [-3.01949144 4.08191909] -5.355943492471864 ;\n", + "Epoch 710/1000, Cost: 3.9506\n", + " and the parameters are [-3.01955165 4.08185175] -5.355965192306196 ;\n", + "Epoch 710/1000, Cost: 2.1625\n", + " and the parameters are [-3.0195868 4.08184364] -5.355981851938487 ;\n", + "Epoch 710/1000, Cost: 2.9663\n", + " and the parameters are [-3.019559 4.08189464] -5.35598491338493 ;\n", + "Epoch 710/1000, Cost: 2.2342\n", + " and the parameters are [-3.01956251 4.08192631] -5.355992451220481 ;\n", + "Epoch 710/1000, Cost: 4.8317\n", + " and the parameters are [-3.01960296 4.08202146] -5.355904848664612 ;\n", + "Epoch 710/1000, Cost: 1.5750\n", + " and the parameters are [-3.01963183 4.08201486] -5.355918571572212 ;\n", + "Epoch 710/1000, Cost: 1.4510\n", + " and the parameters are [-3.01967079 4.08194944] -5.355971460320182 ;\n", + "Epoch 710/1000, Cost: 2.8188\n", + " and the parameters are [-3.01970599 4.08193098] -5.356000932044341 ;\n", + "Epoch 710/1000, Cost: 5.2158\n", + " and the parameters are [-3.01973025 4.08197822] -5.355952897831209 ;\n", + "Epoch 710/1000, Cost: 1.6306\n", + " and the parameters are [-3.01973888 4.08202297] -5.35594355156984 ;\n", + "Epoch 710/1000, Cost: 3.8916\n", + " and the parameters are [-3.01973753 4.08206221] -5.355925648991337 ;\n", + "Epoch 710/1000, Cost: 2.4104\n", + " and the parameters are [-3.01982782 4.08203 ] -5.355914873505408 ;\n", + "Epoch 710/1000, Cost: 3.9005\n", + " and the parameters are [-3.01984165 4.08216708] -5.3558326039986355 ;\n", + "Epoch 710/1000, Cost: 3.0383\n", + " and the parameters are [-3.01989317 4.08208715] -5.355886401962153 ;\n", + "Epoch 710/1000, Cost: 1.5254\n", + " and the parameters are [-3.01990782 4.08212643] -5.355881037169113 ;\n", + "Epoch 710/1000, Cost: 2.0937\n", + " and the parameters are [-3.01992943 4.08207237] -5.355935358120171 ;\n", + "Epoch 710/1000, Cost: 2.2910\n", + " and the parameters are [-3.01999089 4.08200214] -5.355970473524694 ;\n", + "Epoch 710/1000, Cost: 2.8784\n", + " and the parameters are [-3.02001375 4.08208355] -5.355925655586286 ;\n", + "Epoch 710/1000, Cost: 6.6952\n", + " and the parameters are [-3.01997104 4.0819263 ] -5.356065007980775 ;\n", + "Epoch 710/1000, Cost: 4.4493\n", + " and the parameters are [-3.02000113 4.08202703] -5.355993290071118 ;\n", + "Epoch 710/1000, Cost: 2.3061\n", + " and the parameters are [-3.01998659 4.08209473] -5.355984958368144 ;\n", + "Epoch 710/1000, Cost: 7.8353\n", + " and the parameters are [-3.01998198 4.08214504] -5.355946417453874 ;\n", + "Epoch 710/1000, Cost: 4.8931\n", + " and the parameters are [-3.02004079 4.08218383] -5.355900765812442 ;\n", + "Epoch 710/1000, Cost: 1.3554\n", + " and the parameters are [-3.02004767 4.08215469] -5.355947801398003 ;\n", + "Epoch 710/1000, Cost: 1.1993\n", + " and the parameters are [-3.02005884 4.0821494 ] -5.355968884342836 ;\n", + "Epoch 710/1000, Cost: 3.3820\n", + " and the parameters are [-3.02007027 4.08217577] -5.3559619971669985 ;\n", + "Epoch 710/1000, Cost: 3.9034\n", + " and the parameters are [-3.0200402 4.08220189] -5.355974635174258 ;\n", + "Epoch 710/1000, Cost: 2.8835\n", + " and the parameters are [-3.02005442 4.0822401 ] -5.355966885316087 ;\n", + "Epoch 710/1000, Cost: 6.2633\n", + " and the parameters are [-3.02013715 4.08211805] -5.3560117656855555 ;\n", + "Epoch 710/1000, Cost: 1.4674\n", + " and the parameters are [-3.02014834 4.08217544] -5.355992128865087 ;\n", + "Epoch 710/1000, Cost: 2.3420\n", + " and the parameters are [-3.02013096 4.08225848] -5.35596735353365 ;\n", + "Epoch 710/1000, Cost: 1.4304\n", + " and the parameters are [-3.02017135 4.08225631] -5.355962785749859 ;\n", + "Epoch 710/1000, Cost: 5.7712\n", + " and the parameters are [-3.02014148 4.08233933] -5.355925059294487 ;\n", + "Epoch 710/1000, Cost: 2.3985\n", + " and the parameters are [-3.02009961 4.08234112] -5.355977926615528 ;\n", + "Epoch 710/1000, Cost: 3.8804\n", + " and the parameters are [-3.02010923 4.08240131] -5.355950071004629 ;\n", + "Epoch 710/1000, Cost: 6.8438\n", + " and the parameters are [-3.01996022 4.08261479] -5.355858884058147 ;\n", + "Epoch 710/1000, Cost: 1.7530\n", + " and the parameters are [-3.0199796 4.08257734] -5.355894129340639 ;\n", + "Epoch 710/1000, Cost: 1.2285\n", + " and the parameters are [-3.01998174 4.08261182] -5.355890940890532 ;\n", + "Epoch 710/1000, Cost: 7.3801\n", + " and the parameters are [-3.01995927 4.08242211] -5.356045810297044 ;\n", + "Epoch 710/1000, Cost: 1.4149\n", + " and the parameters are [-3.02001074 4.0823928 ] -5.356064212854036 ;\n", + "Epoch 710/1000, Cost: 3.1989\n", + " and the parameters are [-3.0200184 4.08232482] -5.3561403235428235 ;\n", + "Epoch 710/1000, Cost: 2.3168\n", + " and the parameters are [-3.02006575 4.08238608] -5.356094239739454 ;\n", + "Epoch 710/1000, Cost: 0.8286\n", + " and the parameters are [-3.02005987 4.08241209] -5.356098175190376 ;\n", + "Epoch 710/1000, Cost: 2.1619\n", + " and the parameters are [-3.02004251 4.08253275] -5.356045346454253 ;\n", + "Epoch 710/1000, Cost: 4.6615\n", + " and the parameters are [-3.02003466 4.08261831] -5.355978971922244 ;\n", + "Epoch 710/1000, Cost: 3.3978\n", + " and the parameters are [-3.02001035 4.08263107] -5.356006079567675 ;\n", + "Epoch 710/1000, Cost: 0.9068\n", + " and the parameters are [-3.02000432 4.08265836] -5.356010794022968 ;\n", + "Epoch 710/1000, Cost: 0.8296\n", + " and the parameters are [-3.02001898 4.08266989] -5.356013588701673 ;\n", + "Epoch 710/1000, Cost: 1.5571\n", + " and the parameters are [-3.02000996 4.08273355] -5.35599226551945 ;\n", + "Epoch 710/1000, Cost: 3.3537\n", + " and the parameters are [-3.0200205 4.0826547] -5.356054631427372 ;\n", + "Epoch 710/1000, Cost: 9.2627\n", + " and the parameters are [-3.01997037 4.08268913] -5.356036351165335 ;\n", + "Epoch 710/1000, Cost: 7.2233\n", + " and the parameters are [-3.02001502 4.08248211] -5.356146868075448 ;\n", + "Epoch 710/1000, Cost: 4.5290\n", + " and the parameters are [-3.02000065 4.0824302 ] -5.3561957823424216 ;\n", + "Epoch 710/1000, Cost: 3.9359\n", + " and the parameters are [-3.01997271 4.08246766] -5.356206329498655 ;\n", + "Epoch 710/1000, Cost: 3.1632\n", + " and the parameters are [-3.01994862 4.0824459 ] -5.356243396843435 ;\n", + "Epoch 710/1000, Cost: 1.2464\n", + " and the parameters are [-3.01996128 4.08245283] -5.356256131630013 ;\n", + "Epoch 710/1000, Cost: 4.7077\n", + " and the parameters are [-3.01992458 4.08238293] -5.3563517580248305 ;\n", + "Epoch 710/1000, Cost: 1.8122\n", + " and the parameters are [-3.01989478 4.08246015] -5.356329050339347 ;\n", + "Epoch 710/1000, Cost: 3.3335\n", + " and the parameters are [-3.01992664 4.08246603] -5.356316426057374 ;\n", + "Epoch 710/1000, Cost: 7.9723\n", + " and the parameters are [-3.02006507 4.0822795 ] -5.356367646147916 ;\n", + "Epoch 710/1000, Cost: 6.6610\n", + " and the parameters are [-3.02001514 4.08236878] -5.356300085656952 ;\n", + "Epoch 710/1000, Cost: 2.0406\n", + " and the parameters are [-3.0199857 4.08243389] -5.3563006792493155 ;\n", + "Epoch 710/1000, Cost: 6.6724\n", + " and the parameters are [-3.02001593 4.08233137] -5.356358354917365 ;\n", + "Epoch 710/1000, Cost: 1.0769\n", + " and the parameters are [-3.02007653 4.08232933] -5.3563387149873565 ;\n", + "Epoch 710/1000, Cost: 1.9541\n", + " and the parameters are [-3.02010298 4.08227413] -5.35638700373447 ;\n", + "Epoch 710/1000, Cost: 3.1602\n", + " and the parameters are [-3.02016414 4.08224809] -5.356404824150157 ;\n", + "Epoch 710/1000, Cost: 1.1124\n", + " and the parameters are [-3.02019585 4.08224689] -5.356414203085472 ;\n", + "Epoch 710/1000, Cost: 4.4412\n", + " and the parameters are [-3.02016088 4.08233969] -5.356377884961441 ;\n", + "Epoch 710/1000, Cost: 1.3248\n", + " and the parameters are [-3.02016862 4.08234558] -5.356398936831526 ;\n", + "Epoch 710/1000, Cost: 4.5150\n", + " and the parameters are [-3.02015571 4.08228876] -5.356464916856279 ;\n", + "Epoch 710/1000, Cost: 2.2172\n", + " and the parameters are [-3.0201919 4.08222988] -5.35651007399642 ;\n", + "Epoch 710/1000, Cost: 3.0649\n", + " and the parameters are [-3.02028779 4.08214673] -5.356537042314179 ;\n", + "Epoch 710/1000, Cost: 1.5880\n", + " and the parameters are [-3.02027762 4.08215239] -5.356565945320958 ;\n", + "Epoch 710/1000, Cost: 1.7624\n", + " and the parameters are [-3.02029778 4.08211312] -5.356604160700048 ;\n", + "Epoch 710/1000, Cost: 1.2564\n", + " and the parameters are [-3.02031805 4.08208032] -5.356644241187851 ;\n", + "Epoch 710/1000, Cost: 1.8811\n", + " and the parameters are [-3.02033849 4.0821729 ] -5.356597097887021 ;\n", + "Epoch 710/1000, Cost: 3.3362\n", + " and the parameters are [-3.02035257 4.08218979] -5.356586455272669 ;\n", + "Epoch 710/1000, Cost: 2.4134\n", + " and the parameters are [-3.02037373 4.08216639] -5.356615413406914 ;\n", + "Epoch 710/1000, Cost: 5.3785\n", + " and the parameters are [-3.02036542 4.08221383] -5.356593803919019 ;\n", + "Epoch 710/1000, Cost: 1.4690\n", + " and the parameters are [-3.02034476 4.08227201] -5.356587618249682 ;\n", + "Epoch 710/1000, Cost: 4.8597\n", + " and the parameters are [-3.02038361 4.08220718] -5.356610342914579 ;\n", + "Epoch 710/1000, Cost: 4.5428\n", + " and the parameters are [-3.02047851 4.08221573] -5.356569555208896 ;\n", + "Epoch 710/1000, Cost: 1.8234\n", + " and the parameters are [-3.02047073 4.08221405] -5.356605538454943 ;\n", + "Epoch 710/1000, Cost: 2.0337\n", + " and the parameters are [-3.0204352 4.08223625] -5.356634350751031 ;\n", + "Epoch 710/1000, Cost: 2.8533\n", + " and the parameters are [-3.02053489 4.08213167] -5.356677487675016 ;\n", + "Epoch 710/1000, Cost: 5.0679\n", + " and the parameters are [-3.02062526 4.08194638] -5.356766362469714 ;\n", + "Epoch 710/1000, Cost: 3.5585\n", + " and the parameters are [-3.02055525 4.08194065] -5.35683895009062 ;\n", + "Epoch 710/1000, Cost: 3.0546\n", + " and the parameters are [-3.02053391 4.08199296] -5.356844085873359 ;\n", + "Epoch 710/1000, Cost: 1.9888\n", + " and the parameters are [-3.0205574 4.08204281] -5.356817452587529 ;\n", + "Epoch 710/1000, Cost: 6.1990\n", + " and the parameters are [-3.02063035 4.08200825] -5.356803204351453 ;\n", + "Epoch 710/1000, Cost: 4.4803\n", + " and the parameters are [-3.0206913 4.08200305] -5.356778931704977 ;\n", + "Epoch 710/1000, Cost: 2.5767\n", + " and the parameters are [-3.0206872 4.08207914] -5.356729455466376 ;\n", + "Epoch 710/1000, Cost: 2.8169\n", + " and the parameters are [-3.02072818 4.08201011] -5.35678591253198 ;\n", + "Epoch 710/1000, Cost: 3.9275\n", + " and the parameters are [-3.02070437 4.08197235] -5.356827083800282 ;\n", + "Epoch 710/1000, Cost: 2.0099\n", + " and the parameters are [-3.02073266 4.08191397] -5.356877296304981 ;\n", + "Epoch 710/1000, Cost: 4.2539\n", + " and the parameters are [-3.0207004 4.08199031] -5.356860682623935 ;\n", + "Epoch 710/1000, Cost: 2.6697\n", + " and the parameters are [-3.02074778 4.08187866] -5.356934445060854 ;\n", + "Epoch 710/1000, Cost: 1.9839\n", + " and the parameters are [-3.02072098 4.08195236] -5.356921849583973 ;\n", + "Epoch 710/1000, Cost: 1.5972\n", + " and the parameters are [-3.02073943 4.08202961] -5.3568735741792946 ;\n", + "Epoch 710/1000, Cost: 5.7593\n", + " and the parameters are [-3.02080231 4.08193101] -5.356917998488906 ;\n", + "Epoch 710/1000, Cost: 1.9225\n", + " and the parameters are [-3.02086014 4.08187158] -5.356960435510913 ;\n", + "Epoch 710/1000, Cost: 2.2772\n", + " and the parameters are [-3.02088298 4.08190846] -5.356944268375733 ;\n", + "Epoch 710/1000, Cost: 1.3185\n", + " and the parameters are [-3.02088322 4.08193141] -5.356950672020562 ;\n", + "Epoch 710/1000, Cost: 0.9135\n", + " and the parameters are [-3.02087185 4.08196636] -5.356953290801077 ;\n", + "Epoch 710/1000, Cost: 1.8790\n", + " and the parameters are [-3.02080836 4.08207195] -5.356937726968661 ;\n", + "Epoch 710/1000, Cost: 4.8608\n", + " and the parameters are [-3.0208537 4.08209658] -5.35691521746852 ;\n", + "Epoch 710/1000, Cost: 1.0957\n", + " and the parameters are [-3.020859 4.08211018] -5.356924431580918 ;\n", + "Epoch 710/1000, Cost: 4.8383\n", + " and the parameters are [-3.02081319 4.08210045] -5.356957171099344 ;\n", + "Epoch 710/1000, Cost: 4.1368\n", + " and the parameters are [-3.02075525 4.08223117] -5.356913469255321 ;\n", + "Epoch 710/1000, Cost: 3.9627\n", + " and the parameters are [-3.02088904 4.08209504] -5.356941721119801 ;\n", + "Epoch 710/1000, Cost: 1.3300\n", + " and the parameters are [-3.02089842 4.08209671] -5.356963222917142 ;\n", + "Epoch 710/1000, Cost: 3.3316\n", + " and the parameters are [-3.02094094 4.08214836] -5.356932417221052 ;\n", + "Epoch 710/1000, Cost: 4.3348\n", + " and the parameters are [-3.0209094 4.08210236] -5.356999819098091 ;\n", + "Epoch 710/1000, Cost: 1.3667\n", + " and the parameters are [-3.02089314 4.0821137 ] -5.357027542260718 ;\n", + "Epoch 710/1000, Cost: 3.0905\n", + " and the parameters are [-3.02081381 4.08227495] -5.356977868599897 ;\n", + "Epoch 710/1000, Cost: 2.3069\n", + " and the parameters are [-3.02082667 4.08228044] -5.356985693918931 ;\n", + "Epoch 710/1000, Cost: 3.0412\n", + " and the parameters are [-3.02082477 4.08223217] -5.357042151105699 ;\n", + "Epoch 710/1000, Cost: 3.1651\n", + " and the parameters are [-3.02090868 4.0822223 ] -5.357033166278295 ;\n", + "Epoch 710/1000, Cost: 3.4769\n", + " and the parameters are [-3.02089288 4.08219923] -5.357077410127443 ;\n", + "Epoch 710/1000, Cost: 7.8947\n", + " and the parameters are [-3.02079185 4.0822046 ] -5.357116662432137 ;\n", + "Epoch 710/1000, Cost: 5.0899\n", + " and the parameters are [-3.02076913 4.08225542] -5.357116297906206 ;\n", + "Epoch 710/1000, Cost: 2.8982\n", + " and the parameters are [-3.02073346 4.08237283] -5.357070518374297 ;\n", + "Epoch 710/1000, Cost: 4.8288\n", + " and the parameters are [-3.02072705 4.08239935] -5.357071565372472 ;\n", + "Epoch 710/1000, Cost: 2.9761\n", + " and the parameters are [-3.02076074 4.08227812] -5.3571638639431685 ;\n", + "Epoch 710/1000, Cost: 1.0598\n", + " and the parameters are [-3.02075808 4.08231778] -5.357153602763015 ;\n", + "Epoch 710/1000, Cost: 1.3207\n", + " and the parameters are [-3.02076107 4.08236461] -5.3571455306579665 ;\n", + "Epoch 710/1000, Cost: 3.8659\n", + " and the parameters are [-3.02071312 4.08245548] -5.357125774201164 ;\n", + "Epoch 710/1000, Cost: 4.3333\n", + " and the parameters are [-3.02074939 4.08246954] -5.357107014148969 ;\n", + "Epoch 710/1000, Cost: 1.8436\n", + " and the parameters are [-3.02072192 4.0824672 ] -5.3571450130361695 ;\n", + "Epoch 710/1000, Cost: 5.3675\n", + " and the parameters are [-3.0207671 4.08245933] -5.357113169901262 ;\n", + "Epoch 710/1000, Cost: 6.0018\n", + " and the parameters are [-3.02073839 4.08247837] -5.357095869268491 ;\n", + "Epoch 710/1000, Cost: 5.6981\n", + " and the parameters are [-3.02074262 4.08254924] -5.357051474052198 ;\n", + "Epoch 710/1000, Cost: 1.6035\n", + " and the parameters are [-3.02079483 4.0824762 ] -5.357099672411637 ;\n", + "Epoch 710/1000, Cost: 1.2218\n", + " and the parameters are [-3.02079931 4.08252283] -5.357086563780804 ;\n", + "Epoch 710/1000, Cost: 2.3788\n", + " and the parameters are [-3.02082966 4.08246782] -5.357129347769743 ;\n", + "Epoch 710/1000, Cost: 3.0049\n", + " and the parameters are [-3.02089664 4.08240246] -5.357170017417636 ;\n", + "Epoch 710/1000, Cost: 0.7643\n", + " and the parameters are [-3.02090666 4.08240551] -5.357180610427335 ;\n", + "Epoch 710/1000, Cost: 1.3538\n", + " and the parameters are [-3.02094139 4.08243533] -5.357166906729634 ;\n", + "Epoch 710/1000, Cost: 2.5668\n", + " and the parameters are [-3.02095969 4.08244354] -5.357167982941217 ;\n", + "Epoch 710/1000, Cost: 2.4194\n", + " and the parameters are [-3.02095037 4.08243751] -5.357195011837531 ;\n", + "Epoch 710/1000, Cost: 4.0241\n", + " and the parameters are [-3.02098223 4.08238865] -5.357231476427047 ;\n", + "Epoch 710/1000, Cost: 1.5822\n", + " and the parameters are [-3.02099654 4.08235711] -5.357272542097187 ;\n", + "Epoch 710/1000, Cost: 7.5862\n", + " and the parameters are [-3.02105001 4.08222289] -5.357326675292118 ;\n", + "Epoch 710/1000, Cost: 1.6133\n", + " and the parameters are [-3.02108812 4.08225318] -5.35731118518981 ;\n", + "Epoch 710/1000, Cost: 1.0412\n", + " and the parameters are [-3.02109033 4.08223749] -5.357338706063892 ;\n", + "Epoch 710/1000, Cost: 1.4876\n", + " and the parameters are [-3.02111833 4.08223357] -5.357354605019506 ;\n", + "Epoch 710/1000, Cost: 2.8429\n", + " and the parameters are [-3.02109266 4.08230128] -5.357346337671813 ;\n", + "Epoch 710/1000, Cost: 2.4292\n", + " and the parameters are [-3.02109656 4.08232136] -5.357356067863128 ;\n", + "Epoch 710/1000, Cost: 4.4401\n", + " and the parameters are [-3.02108939 4.08222206] -5.357446646186667 ;\n", + "Epoch 710/1000, Cost: 3.2765\n", + " and the parameters are [-3.02104664 4.08220359] -5.357507672271627 ;\n", + "Epoch 710/1000, Cost: 2.0223\n", + " and the parameters are [-3.02105266 4.08228031] -5.357477095509039 ;\n", + "Epoch 710/1000, Cost: 2.4888\n", + " and the parameters are [-3.02103151 4.08227205] -5.3575227198015645 ;\n", + "Epoch 710/1000, Cost: 1.8092\n", + " and the parameters are [-3.02100658 4.08230961] -5.3575230055217835 ;\n", + "Epoch 710/1000, Cost: 2.1002\n", + " and the parameters are [-3.0210208 4.08238243] -5.357484400165954 ;\n", + "Epoch 710/1000, Cost: 3.0069\n", + " and the parameters are [-3.02104278 4.08229656] -5.357569311232336 ;\n", + "Epoch 710/1000, Cost: 2.4318\n", + " and the parameters are [-3.02097958 4.0824365 ] -5.357526258119863 ;\n", + "Epoch 710/1000, Cost: 4.6610\n", + " and the parameters are [-3.02096147 4.08261284] -5.357415297680867 ;\n", + "Epoch 710/1000, Cost: 2.0244\n", + " and the parameters are [-3.02096189 4.08268719] -5.357378993990491 ;\n", + "Epoch 710/1000, Cost: 3.6450\n", + " and the parameters are [-3.02095382 4.08275528] -5.35736880656294 ;\n", + "Epoch 710/1000, Cost: 4.9032\n", + " and the parameters are [-3.02095163 4.08271938] -5.3573957730600075 ;\n", + "Epoch 710/1000, Cost: 2.0695\n", + " and the parameters are [-3.02091497 4.08268988] -5.357463879435778 ;\n", + "Epoch 710/1000, Cost: 3.9375\n", + " and the parameters are [-3.02094458 4.08266405] -5.357484016524838 ;\n", + "Epoch 710/1000, Cost: 3.2272\n", + " and the parameters are [-3.02087239 4.08269982] -5.357529799634257 ;\n", + "Epoch 710/1000, Cost: 6.2450\n", + " and the parameters are [-3.02081908 4.08273964] -5.3575202244529505 ;\n", + "Epoch 710/1000, Cost: 3.5478\n", + " and the parameters are [-3.02081388 4.08279985] -5.357478535855754 ;\n", + "Epoch 710/1000, Cost: 5.0610\n", + " and the parameters are [-3.02079456 4.08276104] -5.357514434311501 ;\n", + "Epoch 710/1000, Cost: 4.3102\n", + " and the parameters are [-3.02091242 4.08257842] -5.3576006247557695 ;\n", + "Epoch 710/1000, Cost: 2.3726\n", + " and the parameters are [-3.02090144 4.08266965] -5.357574826540542 ;\n", + "Epoch 710/1000, Cost: 2.6366\n", + " and the parameters are [-3.02089826 4.08261122] -5.357649122239965 ;\n", + "Epoch 710/1000, Cost: 1.3179\n", + " and the parameters are [-3.02089833 4.08262191] -5.3576658042292875 ;\n", + "Epoch 710/1000, Cost: 1.0577\n", + " and the parameters are [-3.02087686 4.08261862] -5.357698936318032 ;\n", + "Epoch 710/1000, Cost: 3.1965\n", + " and the parameters are [-3.02091556 4.08254301] -5.357748509997873 ;\n", + "Epoch 710/1000, Cost: 2.5873\n", + " and the parameters are [-3.02089231 4.08251659] -5.357805348228763 ;\n", + "Epoch 710/1000, Cost: 1.9078\n", + " and the parameters are [-3.02087731 4.08252187] -5.357835684690704 ;\n", + "Epoch 710/1000, Cost: 2.4792\n", + " and the parameters are [-3.02082885 4.08259241] -5.3578251376709485 ;\n", + "Epoch 710/1000, Cost: 3.9660\n", + " and the parameters are [-3.02082154 4.08262386] -5.357823401361535 ;\n", + "Epoch 710/1000, Cost: 2.5794\n", + " and the parameters are [-3.02081541 4.08271606] -5.357788042544875 ;\n", + "Epoch 710/1000, Cost: 1.4766\n", + " and the parameters are [-3.0207951 4.08279085] -5.35776157588383 ;\n", + "Epoch 710/1000, Cost: 1.7840\n", + " and the parameters are [-3.0207652 4.08281588] -5.357786087793584 ;\n", + "Epoch 710/1000, Cost: 2.5846\n", + " and the parameters are [-3.02068781 4.0828413 ] -5.357834937686337 ;\n", + "Epoch 710/1000, Cost: 3.6099\n", + " and the parameters are [-3.02070963 4.0828576 ] -5.357832271954289 ;\n", + "Epoch 710/1000, Cost: 1.2180\n", + " and the parameters are [-3.0207518 4.08285134] -5.3578392726871185 ;\n", + "Epoch 720/1000, Cost: 3.6982\n", + " and the parameters are [-3.03084178 4.09550729] -5.375848788090302 ;\n", + "Epoch 720/1000, Cost: 3.5113\n", + " and the parameters are [-3.03093682 4.09535921] -5.37592297360504 ;\n", + "Epoch 720/1000, Cost: 3.4994\n", + " and the parameters are [-3.03096859 4.09536619] -5.375926226381474 ;\n", + "Epoch 720/1000, Cost: 1.1510\n", + " and the parameters are [-3.03097446 4.09540161] -5.375921291249957 ;\n", + "Epoch 720/1000, Cost: 3.0795\n", + " and the parameters are [-3.03103025 4.09526471] -5.376011291171502 ;\n", + "Epoch 720/1000, Cost: 2.3072\n", + " and the parameters are [-3.0310335 4.09528259] -5.376022032273254 ;\n", + "Epoch 720/1000, Cost: 3.1133\n", + " and the parameters are [-3.03105017 4.09536127] -5.375963134080733 ;\n", + "Epoch 720/1000, Cost: 4.8186\n", + " and the parameters are [-3.03106561 4.09539938] -5.3759544947965505 ;\n", + "Epoch 720/1000, Cost: 0.8741\n", + " and the parameters are [-3.03106859 4.09544155] -5.375939009392502 ;\n", + "Epoch 720/1000, Cost: 1.8620\n", + " and the parameters are [-3.03106762 4.09542707] -5.375978342022586 ;\n", + "Epoch 720/1000, Cost: 2.9992\n", + " and the parameters are [-3.03110089 4.09538981] -5.376002979980261 ;\n", + "Epoch 720/1000, Cost: 3.4149\n", + " and the parameters are [-3.03109 4.09543609] -5.375978453816524 ;\n", + "Epoch 720/1000, Cost: 1.6699\n", + " and the parameters are [-3.03109529 4.09544549] -5.375987006059994 ;\n", + "Epoch 720/1000, Cost: 3.5231\n", + " and the parameters are [-3.03111201 4.09545514] -5.375991585173314 ;\n", + "Epoch 720/1000, Cost: 2.2608\n", + " and the parameters are [-3.03113174 4.09556176] -5.37593598567418 ;\n", + "Epoch 720/1000, Cost: 2.3046\n", + " and the parameters are [-3.03105573 4.09560872] -5.375968273196884 ;\n", + "Epoch 720/1000, Cost: 3.5205\n", + " and the parameters are [-3.03112257 4.0955975 ] -5.375958515942955 ;\n", + "Epoch 720/1000, Cost: 2.7006\n", + " and the parameters are [-3.03115981 4.09556435] -5.375990914417269 ;\n", + "Epoch 720/1000, Cost: 1.7566\n", + " and the parameters are [-3.03112317 4.09563265] -5.375992679191278 ;\n", + "Epoch 720/1000, Cost: 2.4290\n", + " and the parameters are [-3.03117863 4.09556052] -5.376038175989592 ;\n", + "Epoch 720/1000, Cost: 2.0145\n", + " and the parameters are [-3.03118227 4.09554706] -5.3760697760263465 ;\n", + "Epoch 720/1000, Cost: 3.0849\n", + " and the parameters are [-3.03116445 4.09562399] -5.3760464100801055 ;\n", + "Epoch 720/1000, Cost: 1.0189\n", + " and the parameters are [-3.03115009 4.09566858] -5.3760472217569255 ;\n", + "Epoch 720/1000, Cost: 8.5607\n", + " and the parameters are [-3.03113883 4.095542 ] -5.376125006566042 ;\n", + "Epoch 720/1000, Cost: 3.5258\n", + " and the parameters are [-3.03107034 4.09561738] -5.376137528306228 ;\n", + "Epoch 720/1000, Cost: 0.8009\n", + " and the parameters are [-3.03107506 4.09565634] -5.376126377095802 ;\n", + "Epoch 720/1000, Cost: 2.2653\n", + " and the parameters are [-3.03116387 4.09563095] -5.376121982977564 ;\n", + "Epoch 720/1000, Cost: 2.9971\n", + " and the parameters are [-3.03117271 4.09562201] -5.376145836411517 ;\n", + "Epoch 720/1000, Cost: 3.1136\n", + " and the parameters are [-3.03113377 4.09571729] -5.376118539806627 ;\n", + "Epoch 720/1000, Cost: 9.0714\n", + " and the parameters are [-3.03110576 4.09575127] -5.37607890385355 ;\n", + "Epoch 720/1000, Cost: 4.4861\n", + " and the parameters are [-3.03101014 4.09579741] -5.3761260103304 ;\n", + "Epoch 720/1000, Cost: 1.4628\n", + " and the parameters are [-3.03104989 4.09578414] -5.376139447087721 ;\n", + "Epoch 720/1000, Cost: 5.2746\n", + " and the parameters are [-3.03113796 4.09582505] -5.3760645650255 ;\n", + "Epoch 720/1000, Cost: 3.4839\n", + " and the parameters are [-3.03111339 4.09576358] -5.376146728543197 ;\n", + "Epoch 720/1000, Cost: 2.3651\n", + " and the parameters are [-3.03117017 4.0957337 ] -5.376157873473501 ;\n", + "Epoch 720/1000, Cost: 2.9869\n", + " and the parameters are [-3.03114792 4.09572555] -5.376191965887619 ;\n", + "Epoch 720/1000, Cost: 2.8470\n", + " and the parameters are [-3.03117692 4.09573889] -5.376169584282868 ;\n", + "Epoch 720/1000, Cost: 1.0004\n", + " and the parameters are [-3.03116317 4.09575701] -5.376187611327359 ;\n", + "Epoch 720/1000, Cost: 2.0786\n", + " and the parameters are [-3.03118071 4.09576947] -5.37619574762711 ;\n", + "Epoch 720/1000, Cost: 3.5648\n", + " and the parameters are [-3.03114874 4.09582235] -5.376181387681687 ;\n", + "Epoch 720/1000, Cost: 2.5978\n", + " and the parameters are [-3.03113197 4.09587116] -5.3761802662958385 ;\n", + "Epoch 720/1000, Cost: 4.2956\n", + " and the parameters are [-3.03113852 4.09572591] -5.376304260500561 ;\n", + "Epoch 720/1000, Cost: 1.8168\n", + " and the parameters are [-3.03115421 4.09573734] -5.376308964762889 ;\n", + "Epoch 720/1000, Cost: 1.7396\n", + " and the parameters are [-3.03117988 4.09566644] -5.376368740087455 ;\n", + "Epoch 720/1000, Cost: 4.5181\n", + " and the parameters are [-3.03114838 4.09576075] -5.37633631120433 ;\n", + "Epoch 720/1000, Cost: 1.4900\n", + " and the parameters are [-3.03114924 4.09575383] -5.376369984957446 ;\n", + "Epoch 720/1000, Cost: 3.0974\n", + " and the parameters are [-3.03111158 4.09584769] -5.376341096259227 ;\n", + "Epoch 720/1000, Cost: 1.3209\n", + " and the parameters are [-3.03110475 4.09591729] -5.37631875479037 ;\n", + "Epoch 720/1000, Cost: 2.2084\n", + " and the parameters are [-3.03110978 4.09591358] -5.376336074627927 ;\n", + "Epoch 720/1000, Cost: 1.7742\n", + " and the parameters are [-3.03112895 4.09594556] -5.376333321109793 ;\n", + "Epoch 720/1000, Cost: 4.1946\n", + " and the parameters are [-3.03107637 4.09599399] -5.376337677379035 ;\n", + "Epoch 720/1000, Cost: 3.3307\n", + " and the parameters are [-3.03108313 4.09600972] -5.376339527784328 ;\n", + "Epoch 720/1000, Cost: 1.6397\n", + " and the parameters are [-3.03108156 4.09602895] -5.376352080759165 ;\n", + "Epoch 720/1000, Cost: 1.5169\n", + " and the parameters are [-3.03105756 4.09607226] -5.37635882560902 ;\n", + "Epoch 720/1000, Cost: 2.2462\n", + " and the parameters are [-3.03103182 4.09614709] -5.3763454768653 ;\n", + "Epoch 720/1000, Cost: 1.0549\n", + " and the parameters are [-3.03104548 4.09615072] -5.37635766289746 ;\n", + "Epoch 720/1000, Cost: 4.0328\n", + " and the parameters are [-3.03109656 4.0961403 ] -5.376368392773444 ;\n", + "Epoch 720/1000, Cost: 3.5368\n", + " and the parameters are [-3.03108988 4.09622901] -5.376332769586291 ;\n", + "Epoch 720/1000, Cost: 1.5941\n", + " and the parameters are [-3.03106395 4.09622979] -5.376367940536303 ;\n", + "Epoch 720/1000, Cost: 2.0263\n", + " and the parameters are [-3.03111817 4.09628418] -5.376326681125443 ;\n", + "Epoch 720/1000, Cost: 2.0988\n", + " and the parameters are [-3.03112636 4.09634385] -5.376296625208827 ;\n", + "Epoch 720/1000, Cost: 3.3856\n", + " and the parameters are [-3.03118041 4.09631914] -5.3763112166256715 ;\n", + "Epoch 720/1000, Cost: 1.7543\n", + " and the parameters are [-3.03119514 4.09630539] -5.37633914274261 ;\n", + "Epoch 720/1000, Cost: 3.0364\n", + " and the parameters are [-3.03120075 4.09634957] -5.376311885079141 ;\n", + "Epoch 720/1000, Cost: 5.1153\n", + " and the parameters are [-3.03121366 4.09627018] -5.3763610245227635 ;\n", + "Epoch 720/1000, Cost: 2.2314\n", + " and the parameters are [-3.03117746 4.09631009] -5.376388651946063 ;\n", + "Epoch 720/1000, Cost: 4.9577\n", + " and the parameters are [-3.03112237 4.09644028] -5.376323326921355 ;\n", + "Epoch 720/1000, Cost: 3.9575\n", + " and the parameters are [-3.03114867 4.09635648] -5.376378750614308 ;\n", + "Epoch 720/1000, Cost: 6.8741\n", + " and the parameters are [-3.03109743 4.09625817] -5.376488417856705 ;\n", + "Epoch 720/1000, Cost: 2.8036\n", + " and the parameters are [-3.03112515 4.09617614] -5.376548820623783 ;\n", + "Epoch 720/1000, Cost: 2.2076\n", + " and the parameters are [-3.03109452 4.09615214] -5.376593218868121 ;\n", + "Epoch 720/1000, Cost: 3.0373\n", + " and the parameters are [-3.03113568 4.09616973] -5.3765753962941245 ;\n", + "Epoch 720/1000, Cost: 1.7620\n", + " and the parameters are [-3.03115246 4.09618519] -5.376575214553361 ;\n", + "Epoch 720/1000, Cost: 3.8736\n", + " and the parameters are [-3.03113704 4.09623605] -5.3765521001140595 ;\n", + "Epoch 720/1000, Cost: 0.8337\n", + " and the parameters are [-3.0311225 4.09629652] -5.376533282064942 ;\n", + "Epoch 720/1000, Cost: 2.9734\n", + " and the parameters are [-3.03112928 4.09620333] -5.376608099251562 ;\n", + "Epoch 720/1000, Cost: 3.9412\n", + " and the parameters are [-3.03112572 4.09611777] -5.376697737670561 ;\n", + "Epoch 720/1000, Cost: 3.1745\n", + " and the parameters are [-3.03111478 4.09610253] -5.376738930110733 ;\n", + "Epoch 720/1000, Cost: 2.4981\n", + " and the parameters are [-3.03112137 4.09619789] -5.376686174574931 ;\n", + "Epoch 720/1000, Cost: 1.5096\n", + " and the parameters are [-3.0310819 4.09621867] -5.376723066846895 ;\n", + "Epoch 720/1000, Cost: 1.1562\n", + " and the parameters are [-3.03108456 4.09622613] -5.37673567157518 ;\n", + "Epoch 720/1000, Cost: 2.3053\n", + " and the parameters are [-3.03107972 4.09626243] -5.37672714683141 ;\n", + "Epoch 720/1000, Cost: 1.7686\n", + " and the parameters are [-3.03107883 4.09631469] -5.376705528012387 ;\n", + "Epoch 720/1000, Cost: 2.4712\n", + " and the parameters are [-3.03110072 4.09629999] -5.376730300565129 ;\n", + "Epoch 720/1000, Cost: 2.8205\n", + " and the parameters are [-3.03111379 4.09631905] -5.376719297855345 ;\n", + "Epoch 720/1000, Cost: 2.1078\n", + " and the parameters are [-3.03103231 4.09636873] -5.376756035733023 ;\n", + "Epoch 720/1000, Cost: 4.7211\n", + " and the parameters are [-3.03100762 4.09627655] -5.376861360846979 ;\n", + "Epoch 720/1000, Cost: 2.0908\n", + " and the parameters are [-3.03098284 4.09635569] -5.376849150155559 ;\n", + "Epoch 720/1000, Cost: 3.0230\n", + " and the parameters are [-3.03102499 4.09626259] -5.376921624462433 ;\n", + "Epoch 720/1000, Cost: 3.4137\n", + " and the parameters are [-3.03102656 4.09624114] -5.376959919100895 ;\n", + "Epoch 720/1000, Cost: 10.9829\n", + " and the parameters are [-3.0310299 4.09638431] -5.376815777453683 ;\n", + "Epoch 720/1000, Cost: 0.8613\n", + " and the parameters are [-3.03105272 4.09638193] -5.376824852931038 ;\n", + "Epoch 720/1000, Cost: 2.6439\n", + " and the parameters are [-3.0311862 4.09623934] -5.376875842207936 ;\n", + "Epoch 720/1000, Cost: 6.0621\n", + " and the parameters are [-3.03125999 4.09613299] -5.376902553123303 ;\n", + "Epoch 720/1000, Cost: 5.0398\n", + " and the parameters are [-3.03122903 4.09605627] -5.376982624249961 ;\n", + "Epoch 720/1000, Cost: 3.8194\n", + " and the parameters are [-3.03120744 4.09610061] -5.376956217745036 ;\n", + "Epoch 720/1000, Cost: 7.0165\n", + " and the parameters are [-3.0312137 4.09605199] -5.3769706656738885 ;\n", + "Epoch 720/1000, Cost: 2.0002\n", + " and the parameters are [-3.03116951 4.09611957] -5.376971764019041 ;\n", + "Epoch 720/1000, Cost: 2.9367\n", + " and the parameters are [-3.03120054 4.09615345] -5.376965069319454 ;\n", + "Epoch 720/1000, Cost: 1.5059\n", + " and the parameters are [-3.03124322 4.09617986] -5.376952455407174 ;\n", + "Epoch 720/1000, Cost: 5.5309\n", + " and the parameters are [-3.03129913 4.09621643] -5.376878265543168 ;\n", + "Epoch 720/1000, Cost: 3.4191\n", + " and the parameters are [-3.03132741 4.09627777] -5.376834562829367 ;\n", + "Epoch 720/1000, Cost: 2.0435\n", + " and the parameters are [-3.03133557 4.09625839] -5.376862348362139 ;\n", + "Epoch 720/1000, Cost: 2.3777\n", + " and the parameters are [-3.03129682 4.09634039] -5.376841217824774 ;\n", + "Epoch 720/1000, Cost: 7.4926\n", + " and the parameters are [-3.03123994 4.09640281] -5.376827510515418 ;\n", + "Epoch 720/1000, Cost: 7.6863\n", + " and the parameters are [-3.03120297 4.09637448] -5.376849902429923 ;\n", + "Epoch 720/1000, Cost: 5.8007\n", + " and the parameters are [-3.03115877 4.09626414] -5.3769689974047 ;\n", + "Epoch 720/1000, Cost: 3.3423\n", + " and the parameters are [-3.03117643 4.09624124] -5.377008310075722 ;\n", + "Epoch 720/1000, Cost: 2.9454\n", + " and the parameters are [-3.03117128 4.09636057] -5.3769494810413265 ;\n", + "Epoch 720/1000, Cost: 3.1752\n", + " and the parameters are [-3.0311804 4.09651594] -5.376851271390792 ;\n", + "Epoch 720/1000, Cost: 2.9022\n", + " and the parameters are [-3.0311931 4.09657759] -5.376812660322788 ;\n", + "Epoch 720/1000, Cost: 1.8251\n", + " and the parameters are [-3.03119799 4.09664348] -5.376783420271018 ;\n", + "Epoch 720/1000, Cost: 2.3039\n", + " and the parameters are [-3.03119669 4.09666874] -5.376787361872048 ;\n", + "Epoch 720/1000, Cost: 1.7265\n", + " and the parameters are [-3.03123877 4.09669423] -5.376768342173525 ;\n", + "Epoch 720/1000, Cost: 3.1069\n", + " and the parameters are [-3.03124248 4.09657708] -5.376879668075229 ;\n", + "Epoch 720/1000, Cost: 3.2609\n", + " and the parameters are [-3.03116214 4.09665073] -5.376897882748783 ;\n", + "Epoch 720/1000, Cost: 4.8878\n", + " and the parameters are [-3.03112494 4.09666257] -5.376926989201496 ;\n", + "Epoch 720/1000, Cost: 2.2438\n", + " and the parameters are [-3.03115492 4.09666553] -5.37692744423264 ;\n", + "Epoch 720/1000, Cost: 7.5177\n", + " and the parameters are [-3.03109079 4.09671293] -5.376925313573165 ;\n", + "Epoch 720/1000, Cost: 1.3068\n", + " and the parameters are [-3.03109391 4.09670591] -5.376960628264484 ;\n", + "Epoch 720/1000, Cost: 3.3862\n", + " and the parameters are [-3.03112161 4.09675291] -5.376946456192444 ;\n", + "Epoch 720/1000, Cost: 1.3489\n", + " and the parameters are [-3.03112286 4.09682267] -5.376917899986731 ;\n", + "Epoch 720/1000, Cost: 2.6696\n", + " and the parameters are [-3.03110403 4.09688769] -5.376899811033317 ;\n", + "Epoch 720/1000, Cost: 5.7128\n", + " and the parameters are [-3.03107552 4.09688092] -5.376933614526061 ;\n", + "Epoch 720/1000, Cost: 1.7332\n", + " and the parameters are [-3.0310927 4.09690856] -5.376931850789763 ;\n", + "Epoch 720/1000, Cost: 1.5570\n", + " and the parameters are [-3.03111179 4.09693249] -5.376922999048454 ;\n", + "Epoch 720/1000, Cost: 2.3766\n", + " and the parameters are [-3.03111535 4.09695663] -5.3769271064441275 ;\n", + "Epoch 720/1000, Cost: 4.1725\n", + " and the parameters are [-3.03100829 4.09706173] -5.376929411943689 ;\n", + "Epoch 720/1000, Cost: 1.5291\n", + " and the parameters are [-3.0310555 4.09702374] -5.376961962114456 ;\n", + "Epoch 720/1000, Cost: 0.6854\n", + " and the parameters are [-3.03105694 4.09702663] -5.376977360922385 ;\n", + "Epoch 720/1000, Cost: 0.9003\n", + " and the parameters are [-3.03105212 4.09707869] -5.37696192079478 ;\n", + "Epoch 720/1000, Cost: 2.3844\n", + " and the parameters are [-3.03106341 4.097204 ] -5.376875596693643 ;\n", + "Epoch 720/1000, Cost: 2.0769\n", + " and the parameters are [-3.03111624 4.09715299] -5.376908367638277 ;\n", + "Epoch 720/1000, Cost: 2.7102\n", + " and the parameters are [-3.03106462 4.09712648] -5.376979089103461 ;\n", + "Epoch 720/1000, Cost: 3.6145\n", + " and the parameters are [-3.0310712 4.09711053] -5.377006345896333 ;\n", + "Epoch 720/1000, Cost: 2.3590\n", + " and the parameters are [-3.03109453 4.09719356] -5.3769629141552775 ;\n", + "Epoch 720/1000, Cost: 2.9696\n", + " and the parameters are [-3.0310805 4.09718186] -5.377005969612867 ;\n", + "Epoch 720/1000, Cost: 0.9986\n", + " and the parameters are [-3.03110865 4.09719981] -5.376996907350687 ;\n", + "Epoch 720/1000, Cost: 1.1049\n", + " and the parameters are [-3.03111631 4.09724073] -5.376985108977134 ;\n", + "Epoch 720/1000, Cost: 2.3012\n", + " and the parameters are [-3.03114289 4.09719177] -5.377032499462269 ;\n", + "Epoch 720/1000, Cost: 1.5406\n", + " and the parameters are [-3.0311728 4.09724035] -5.377004612368409 ;\n", + "Epoch 720/1000, Cost: 6.0487\n", + " and the parameters are [-3.03114557 4.09708136] -5.377126472304399 ;\n", + "Epoch 720/1000, Cost: 2.7764\n", + " and the parameters are [-3.03109728 4.09719587] -5.37709300259108 ;\n", + "Epoch 720/1000, Cost: 3.5001\n", + " and the parameters are [-3.03114303 4.09717805] -5.377099048825516 ;\n", + "Epoch 720/1000, Cost: 1.5272\n", + " and the parameters are [-3.03116241 4.0971982 ] -5.3770976913197135 ;\n", + "Epoch 720/1000, Cost: 2.0743\n", + " and the parameters are [-3.03115309 4.09722496] -5.377106865406727 ;\n", + "Epoch 720/1000, Cost: 2.9091\n", + " and the parameters are [-3.03122372 4.09722418] -5.377081174792731 ;\n", + "Epoch 720/1000, Cost: 3.0440\n", + " and the parameters are [-3.03121234 4.09714177] -5.377176712488925 ;\n", + "Epoch 720/1000, Cost: 4.8263\n", + " and the parameters are [-3.03128269 4.09707268] -5.377183323820032 ;\n", + "Epoch 720/1000, Cost: 6.1575\n", + " and the parameters are [-3.03132425 4.09697464] -5.377235642626877 ;\n", + "Epoch 720/1000, Cost: 0.9304\n", + " and the parameters are [-3.03132614 4.09699434] -5.377242623797402 ;\n", + "Epoch 720/1000, Cost: 2.5140\n", + " and the parameters are [-3.03128934 4.09706307] -5.377226101370828 ;\n", + "Epoch 720/1000, Cost: 0.9504\n", + " and the parameters are [-3.03128874 4.09711383] -5.377213815746627 ;\n", + "Epoch 720/1000, Cost: 4.2111\n", + " and the parameters are [-3.03120467 4.09713017] -5.377280624703589 ;\n", + "Epoch 720/1000, Cost: 1.9969\n", + " and the parameters are [-3.03126966 4.09706777] -5.377315253041161 ;\n", + "Epoch 720/1000, Cost: 2.8689\n", + " and the parameters are [-3.03129952 4.09708839] -5.377309819699074 ;\n", + "Epoch 720/1000, Cost: 2.3477\n", + " and the parameters are [-3.0313092 4.09715803] -5.377267703926592 ;\n", + "Epoch 720/1000, Cost: 4.7396\n", + " and the parameters are [-3.03124025 4.09720982] -5.377261264289299 ;\n", + "Epoch 720/1000, Cost: 1.3570\n", + " and the parameters are [-3.03123818 4.09729036] -5.377225962471659 ;\n", + "Epoch 720/1000, Cost: 2.5256\n", + " and the parameters are [-3.03121623 4.09738809] -5.377188449401783 ;\n", + "Epoch 720/1000, Cost: 1.8140\n", + " and the parameters are [-3.03123439 4.09736459] -5.377224890561616 ;\n", + "Epoch 720/1000, Cost: 1.2922\n", + " and the parameters are [-3.03125857 4.09736415] -5.377240072198936 ;\n", + "Epoch 720/1000, Cost: 5.7252\n", + " and the parameters are [-3.03126468 4.09728831] -5.377280592059655 ;\n", + "Epoch 720/1000, Cost: 4.1080\n", + " and the parameters are [-3.03125012 4.09743143] -5.377205051508903 ;\n", + "Epoch 720/1000, Cost: 3.8241\n", + " and the parameters are [-3.0312255 4.09741087] -5.377273367656164 ;\n", + "Epoch 720/1000, Cost: 3.6007\n", + " and the parameters are [-3.03126673 4.09726189] -5.37738289061517 ;\n", + "Epoch 720/1000, Cost: 2.3412\n", + " and the parameters are [-3.03132679 4.09722133] -5.377415735801265 ;\n", + "Epoch 720/1000, Cost: 4.6354\n", + " and the parameters are [-3.03143103 4.09714968] -5.3774293825436414 ;\n", + "Epoch 720/1000, Cost: 2.7616\n", + " and the parameters are [-3.03138683 4.09713835] -5.377482519797765 ;\n", + "Epoch 720/1000, Cost: 3.2070\n", + " and the parameters are [-3.03138965 4.09715887] -5.377488589627171 ;\n", + "Epoch 720/1000, Cost: 9.6014\n", + " and the parameters are [-3.03132512 4.09714072] -5.37749586103996 ;\n", + "Epoch 720/1000, Cost: 7.9718\n", + " and the parameters are [-3.03141578 4.09695723] -5.377582299357888 ;\n", + "Epoch 720/1000, Cost: 2.9536\n", + " and the parameters are [-3.03143973 4.09697753] -5.377581227816309 ;\n", + "Epoch 720/1000, Cost: 1.7850\n", + " and the parameters are [-3.03143965 4.09706194] -5.377543440110567 ;\n", + "Epoch 720/1000, Cost: 5.3937\n", + " and the parameters are [-3.03147487 4.09690673] -5.377674631840862 ;\n", + "Epoch 720/1000, Cost: 3.4451\n", + " and the parameters are [-3.03152483 4.09692093] -5.3776486028566834 ;\n", + "Epoch 720/1000, Cost: 1.0765\n", + " and the parameters are [-3.03152476 4.09694203] -5.377654158883957 ;\n", + "Epoch 720/1000, Cost: 4.2596\n", + " and the parameters are [-3.03157081 4.09678185] -5.377779344157041 ;\n", + "Epoch 720/1000, Cost: 2.7031\n", + " and the parameters are [-3.03159513 4.09687079] -5.377710748618511 ;\n", + "Epoch 720/1000, Cost: 0.8494\n", + " and the parameters are [-3.03160325 4.09690422] -5.377698468275736 ;\n", + "Epoch 720/1000, Cost: 1.3774\n", + " and the parameters are [-3.03162661 4.09685 ] -5.377745037721872 ;\n", + "Epoch 720/1000, Cost: 3.1829\n", + " and the parameters are [-3.03163137 4.09681744] -5.377778938969324 ;\n", + "Epoch 720/1000, Cost: 2.4610\n", + " and the parameters are [-3.03168864 4.09683527] -5.377757549230491 ;\n", + "Epoch 720/1000, Cost: 5.7307\n", + " and the parameters are [-3.03168635 4.09689913] -5.377694518754251 ;\n", + "Epoch 720/1000, Cost: 7.5103\n", + " and the parameters are [-3.0317037 4.09681532] -5.377742350027873 ;\n", + "Epoch 720/1000, Cost: 2.7891\n", + " and the parameters are [-3.031711 4.09690859] -5.377686563869546 ;\n", + "Epoch 720/1000, Cost: 4.8670\n", + " and the parameters are [-3.03178124 4.09683997] -5.377707458042743 ;\n", + "Epoch 720/1000, Cost: 1.6394\n", + " and the parameters are [-3.03181348 4.09681926] -5.377726977559462 ;\n", + "Epoch 720/1000, Cost: 2.4840\n", + " and the parameters are [-3.03178375 4.09686461] -5.377743590209673 ;\n", + "Epoch 720/1000, Cost: 7.2036\n", + " and the parameters are [-3.03181176 4.09680544] -5.377769772121277 ;\n", + "Epoch 720/1000, Cost: 4.4469\n", + " and the parameters are [-3.03183995 4.09672495] -5.377819880889264 ;\n", + "Epoch 720/1000, Cost: 1.3602\n", + " and the parameters are [-3.03187091 4.09667564] -5.37785841914314 ;\n", + "Epoch 720/1000, Cost: 1.8631\n", + " and the parameters are [-3.03186917 4.09675661] -5.377828038279515 ;\n", + "Epoch 720/1000, Cost: 1.7647\n", + " and the parameters are [-3.03189841 4.09677229] -5.3778238148630395 ;\n", + "Epoch 720/1000, Cost: 3.1156\n", + " and the parameters are [-3.0319864 4.09672038] -5.377843433149063 ;\n", + "Epoch 720/1000, Cost: 1.8808\n", + " and the parameters are [-3.03206246 4.09661776] -5.377891211250259 ;\n", + "Epoch 720/1000, Cost: 2.5389\n", + " and the parameters are [-3.03207947 4.09667458] -5.3778636046472625 ;\n", + "Epoch 720/1000, Cost: 3.2524\n", + " and the parameters are [-3.03207681 4.09672478] -5.377834172103043 ;\n", + "Epoch 720/1000, Cost: 3.9533\n", + " and the parameters are [-3.03204104 4.09678194] -5.377827280193815 ;\n", + "Epoch 720/1000, Cost: 3.4093\n", + " and the parameters are [-3.03198248 4.09684564] -5.377841252269304 ;\n", + "Epoch 730/1000, Cost: 2.6371\n", + " and the parameters are [-3.04202753 4.10930046] -5.395588557677297 ;\n", + "Epoch 730/1000, Cost: 0.9775\n", + " and the parameters are [-3.04205612 4.10930586] -5.395592731818738 ;\n", + "Epoch 730/1000, Cost: 4.6988\n", + " and the parameters are [-3.04197927 4.1094354 ] -5.395544083833797 ;\n", + "Epoch 730/1000, Cost: 2.1452\n", + " and the parameters are [-3.04197015 4.10944517] -5.395566896463205 ;\n", + "Epoch 730/1000, Cost: 1.8567\n", + " and the parameters are [-3.04194362 4.10946752] -5.395592925003894 ;\n", + "Epoch 730/1000, Cost: 3.6716\n", + " and the parameters are [-3.04199091 4.10936312] -5.395668229799838 ;\n", + "Epoch 730/1000, Cost: 2.5320\n", + " and the parameters are [-3.04198227 4.1094026 ] -5.395660982929572 ;\n", + "Epoch 730/1000, Cost: 2.8444\n", + " and the parameters are [-3.04202366 4.10935634] -5.395690516770769 ;\n", + "Epoch 730/1000, Cost: 1.6581\n", + " and the parameters are [-3.04196716 4.10940185] -5.395717114966021 ;\n", + "Epoch 730/1000, Cost: 1.9719\n", + " and the parameters are [-3.04190988 4.10940143] -5.395773690684953 ;\n", + "Epoch 730/1000, Cost: 3.2242\n", + " and the parameters are [-3.04189519 4.10948552] -5.395739748768545 ;\n", + "Epoch 730/1000, Cost: 2.9810\n", + " and the parameters are [-3.0418841 4.10955634] -5.395709912605031 ;\n", + "Epoch 730/1000, Cost: 1.4710\n", + " and the parameters are [-3.04191846 4.10951069] -5.395742050118345 ;\n", + "Epoch 730/1000, Cost: 2.8299\n", + " and the parameters are [-3.04197129 4.1094925 ] -5.395743540508717 ;\n", + "Epoch 730/1000, Cost: 1.4371\n", + " and the parameters are [-3.04194078 4.10948709] -5.395790361593223 ;\n", + "Epoch 730/1000, Cost: 3.3357\n", + " and the parameters are [-3.04193277 4.10939374] -5.395885983432466 ;\n", + "Epoch 730/1000, Cost: 4.5837\n", + " and the parameters are [-3.04192673 4.10936891] -5.395926729042361 ;\n", + "Epoch 730/1000, Cost: 1.2691\n", + " and the parameters are [-3.04192224 4.10937831] -5.395950170221521 ;\n", + "Epoch 730/1000, Cost: 3.6189\n", + " and the parameters are [-3.04193353 4.10947737] -5.3959030324853545 ;\n", + "Epoch 730/1000, Cost: 0.9721\n", + " and the parameters are [-3.04191337 4.10953083] -5.395897097187327 ;\n", + "Epoch 730/1000, Cost: 1.6231\n", + " and the parameters are [-3.04190682 4.10955666] -5.395904875831858 ;\n", + "Epoch 730/1000, Cost: 1.7024\n", + " and the parameters are [-3.0419269 4.10952184] -5.39594440605637 ;\n", + "Epoch 730/1000, Cost: 6.9002\n", + " and the parameters are [-3.04193354 4.1095809 ] -5.395893203092397 ;\n", + "Epoch 730/1000, Cost: 3.3522\n", + " and the parameters are [-3.04201729 4.10953568] -5.395907590199276 ;\n", + "Epoch 730/1000, Cost: 4.6570\n", + " and the parameters are [-3.04186273 4.10955819] -5.396000768004894 ;\n", + "Epoch 730/1000, Cost: 2.0351\n", + " and the parameters are [-3.04185636 4.10952887] -5.396042814289664 ;\n", + "Epoch 730/1000, Cost: 2.5960\n", + " and the parameters are [-3.0419079 4.10956971] -5.395999580201227 ;\n", + "Epoch 730/1000, Cost: 2.6674\n", + " and the parameters are [-3.04193325 4.10964842] -5.395941578366158 ;\n", + "Epoch 730/1000, Cost: 4.0693\n", + " and the parameters are [-3.04196017 4.10964866] -5.395936615669574 ;\n", + "Epoch 730/1000, Cost: 4.2052\n", + " and the parameters are [-3.04195288 4.1097053 ] -5.395918908703487 ;\n", + "Epoch 730/1000, Cost: 1.6201\n", + " and the parameters are [-3.04192574 4.10973142] -5.395938405422572 ;\n", + "Epoch 730/1000, Cost: 3.9253\n", + " and the parameters are [-3.04193085 4.10983031] -5.395881258402397 ;\n", + "Epoch 730/1000, Cost: 1.3705\n", + " and the parameters are [-3.04193986 4.10981331] -5.395915773306677 ;\n", + "Epoch 730/1000, Cost: 0.8138\n", + " and the parameters are [-3.04193865 4.10982897] -5.395924618677523 ;\n", + "Epoch 730/1000, Cost: 3.7781\n", + " and the parameters are [-3.04198101 4.10969788] -5.3960204596357535 ;\n", + "Epoch 730/1000, Cost: 0.8887\n", + " and the parameters are [-3.04199628 4.10969587] -5.396036560292011 ;\n", + "Epoch 730/1000, Cost: 3.6822\n", + " and the parameters are [-3.041956 4.10977182] -5.396026483296086 ;\n", + "Epoch 730/1000, Cost: 3.2533\n", + " and the parameters are [-3.04197585 4.10984933] -5.395965498201207 ;\n", + "Epoch 730/1000, Cost: 3.4720\n", + " and the parameters are [-3.04202804 4.10992469] -5.395890265773756 ;\n", + "Epoch 730/1000, Cost: 2.8663\n", + " and the parameters are [-3.04205483 4.10987798] -5.395916769647056 ;\n", + "Epoch 730/1000, Cost: 9.6915\n", + " and the parameters are [-3.04195936 4.1099956 ] -5.395834438389208 ;\n", + "Epoch 730/1000, Cost: 1.7430\n", + " and the parameters are [-3.04193629 4.11003581] -5.395842507823196 ;\n", + "Epoch 730/1000, Cost: 1.6866\n", + " and the parameters are [-3.04188924 4.11004538] -5.395888749891806 ;\n", + "Epoch 730/1000, Cost: 6.0667\n", + " and the parameters are [-3.04198806 4.10980833] -5.396012939341539 ;\n", + "Epoch 730/1000, Cost: 3.3387\n", + " and the parameters are [-3.04194511 4.10982776] -5.3960339908472825 ;\n", + "Epoch 730/1000, Cost: 3.6693\n", + " and the parameters are [-3.04196283 4.10989275] -5.395990891309094 ;\n", + "Epoch 730/1000, Cost: 1.7764\n", + " and the parameters are [-3.04198099 4.10989961] -5.395997289604075 ;\n", + "Epoch 730/1000, Cost: 2.3579\n", + " and the parameters are [-3.04199671 4.10988248] -5.396029653265044 ;\n", + "Epoch 730/1000, Cost: 1.1744\n", + " and the parameters are [-3.0420179 4.10990508] -5.396024870857578 ;\n", + "Epoch 730/1000, Cost: 3.8714\n", + " and the parameters are [-3.04202442 4.10995528] -5.395986628014933 ;\n", + "Epoch 730/1000, Cost: 3.8154\n", + " and the parameters are [-3.04206386 4.10996319] -5.395973022877497 ;\n", + "Epoch 730/1000, Cost: 1.2676\n", + " and the parameters are [-3.04203373 4.11000749] -5.395981361778193 ;\n", + "Epoch 730/1000, Cost: 1.9394\n", + " and the parameters are [-3.04200509 4.11012395] -5.395945836997193 ;\n", + "Epoch 730/1000, Cost: 2.0291\n", + " and the parameters are [-3.04198653 4.11012061] -5.395984627229992 ;\n", + "Epoch 730/1000, Cost: 2.6561\n", + " and the parameters are [-3.04198122 4.11007773] -5.396039561159271 ;\n", + "Epoch 730/1000, Cost: 1.6210\n", + " and the parameters are [-3.04197918 4.11007939] -5.396063414955933 ;\n", + "Epoch 730/1000, Cost: 3.1790\n", + " and the parameters are [-3.042067 4.10999333] -5.396085657706421 ;\n", + "Epoch 730/1000, Cost: 2.4211\n", + " and the parameters are [-3.04210667 4.10999035] -5.39609394665516 ;\n", + "Epoch 730/1000, Cost: 1.7358\n", + " and the parameters are [-3.04209233 4.11001856] -5.3961130595022535 ;\n", + "Epoch 730/1000, Cost: 5.1203\n", + " and the parameters are [-3.04206136 4.11008334] -5.396071039745473 ;\n", + "Epoch 730/1000, Cost: 4.0730\n", + " and the parameters are [-3.0420607 4.10999776] -5.396129160946103 ;\n", + "Epoch 730/1000, Cost: 2.5423\n", + " and the parameters are [-3.04202495 4.11008842] -5.396105787999435 ;\n", + "Epoch 730/1000, Cost: 5.5438\n", + " and the parameters are [-3.04197869 4.11010637] -5.396124718647017 ;\n", + "Epoch 730/1000, Cost: 3.1019\n", + " and the parameters are [-3.04194283 4.11015031] -5.3961276244881855 ;\n", + "Epoch 730/1000, Cost: 2.4646\n", + " and the parameters are [-3.04193869 4.11019656] -5.396121101558354 ;\n", + "Epoch 730/1000, Cost: 5.6785\n", + " and the parameters are [-3.04203178 4.11000018] -5.396233072645831 ;\n", + "Epoch 730/1000, Cost: 1.6388\n", + " and the parameters are [-3.0419994 4.11005253] -5.396238405860305 ;\n", + "Epoch 730/1000, Cost: 2.0129\n", + " and the parameters are [-3.04199029 4.11002038] -5.396274475710491 ;\n", + "Epoch 730/1000, Cost: 2.2813\n", + " and the parameters are [-3.04200617 4.1100692 ] -5.3962439110879155 ;\n", + "Epoch 730/1000, Cost: 3.2406\n", + " and the parameters are [-3.04197313 4.11011132] -5.396242175813729 ;\n", + "Epoch 730/1000, Cost: 4.1948\n", + " and the parameters are [-3.04188848 4.11025069] -5.396191797447704 ;\n", + "Epoch 730/1000, Cost: 3.6741\n", + " and the parameters are [-3.04188808 4.11017623] -5.396274775047089 ;\n", + "Epoch 730/1000, Cost: 1.8577\n", + " and the parameters are [-3.04185177 4.11027533] -5.396245022809551 ;\n", + "Epoch 730/1000, Cost: 4.6065\n", + " and the parameters are [-3.04198986 4.11021422] -5.396246641908783 ;\n", + "Epoch 730/1000, Cost: 1.3866\n", + " and the parameters are [-3.04196308 4.11020929] -5.396285614109544 ;\n", + "Epoch 730/1000, Cost: 1.2817\n", + " and the parameters are [-3.04195143 4.11019693] -5.39632702974198 ;\n", + "Epoch 730/1000, Cost: 6.3110\n", + " and the parameters are [-3.04190841 4.11027185] -5.396265078339639 ;\n", + "Epoch 730/1000, Cost: 3.1635\n", + " and the parameters are [-3.04193264 4.11029578] -5.396270034837085 ;\n", + "Epoch 730/1000, Cost: 4.4893\n", + " and the parameters are [-3.0420235 4.11020283] -5.396295648997174 ;\n", + "Epoch 730/1000, Cost: 2.2921\n", + " and the parameters are [-3.04197623 4.11023823] -5.396328820733967 ;\n", + "Epoch 730/1000, Cost: 4.3824\n", + " and the parameters are [-3.04201114 4.11015586] -5.396370687224242 ;\n", + "Epoch 730/1000, Cost: 1.8613\n", + " and the parameters are [-3.04202331 4.11014586] -5.396388729408336 ;\n", + "Epoch 730/1000, Cost: 3.9573\n", + " and the parameters are [-3.04203892 4.11007031] -5.3964497732638605 ;\n", + "Epoch 730/1000, Cost: 3.3404\n", + " and the parameters are [-3.04203506 4.11009962] -5.396445066518032 ;\n", + "Epoch 730/1000, Cost: 3.0870\n", + " and the parameters are [-3.04204349 4.110146 ] -5.396435586148803 ;\n", + "Epoch 730/1000, Cost: 3.9345\n", + " and the parameters are [-3.04199779 4.11020767] -5.396424017268041 ;\n", + "Epoch 730/1000, Cost: 1.3275\n", + " and the parameters are [-3.04197375 4.11025791] -5.396422058535035 ;\n", + "Epoch 730/1000, Cost: 4.8569\n", + " and the parameters are [-3.04196263 4.11035154] -5.396373254523825 ;\n", + "Epoch 730/1000, Cost: 3.4649\n", + " and the parameters are [-3.04193769 4.11036758] -5.396396280462378 ;\n", + "Epoch 730/1000, Cost: 5.4521\n", + " and the parameters are [-3.0419499 4.11042944] -5.396366025206742 ;\n", + "Epoch 730/1000, Cost: 2.8916\n", + " and the parameters are [-3.04194317 4.11038593] -5.3964243004563635 ;\n", + "Epoch 730/1000, Cost: 1.8395\n", + " and the parameters are [-3.04190932 4.11040251] -5.396453873896777 ;\n", + "Epoch 730/1000, Cost: 2.6605\n", + " and the parameters are [-3.04193022 4.11044962] -5.396436502282033 ;\n", + "Epoch 730/1000, Cost: 2.6899\n", + " and the parameters are [-3.04192111 4.11044607] -5.396456109056283 ;\n", + "Epoch 730/1000, Cost: 3.9256\n", + " and the parameters are [-3.04187234 4.1105758 ] -5.396403706933489 ;\n", + "Epoch 730/1000, Cost: 3.1830\n", + " and the parameters are [-3.04178719 4.11058611] -5.396466000136278 ;\n", + "Epoch 730/1000, Cost: 5.7113\n", + " and the parameters are [-3.04175233 4.11046728] -5.396572659275375 ;\n", + "Epoch 730/1000, Cost: 0.8867\n", + " and the parameters are [-3.041745 4.1104693] -5.396598042204501 ;\n", + "Epoch 730/1000, Cost: 2.8671\n", + " and the parameters are [-3.04172004 4.11048649] -5.3966207799519275 ;\n", + "Epoch 730/1000, Cost: 1.6716\n", + " and the parameters are [-3.04172679 4.11051405] -5.396619623366961 ;\n", + "Epoch 730/1000, Cost: 6.1056\n", + " and the parameters are [-3.04166683 4.1106347 ] -5.396553565151547 ;\n", + "Epoch 730/1000, Cost: 2.8369\n", + " and the parameters are [-3.04158872 4.11077188] -5.396525314963318 ;\n", + "Epoch 730/1000, Cost: 1.2841\n", + " and the parameters are [-3.0415614 4.1108099] -5.396534593741371 ;\n", + "Epoch 730/1000, Cost: 1.3500\n", + " and the parameters are [-3.04157309 4.11087253] -5.396502325413415 ;\n", + "Epoch 730/1000, Cost: 1.9809\n", + " and the parameters are [-3.04157456 4.11084964] -5.3965439703188 ;\n", + "Epoch 730/1000, Cost: 1.6330\n", + " and the parameters are [-3.04159782 4.11078273] -5.396610487806211 ;\n", + "Epoch 730/1000, Cost: 5.2416\n", + " and the parameters are [-3.04158877 4.11078682] -5.396597953035673 ;\n", + "Epoch 730/1000, Cost: 1.9982\n", + " and the parameters are [-3.04163711 4.11084831] -5.39654120536827 ;\n", + "Epoch 730/1000, Cost: 2.3718\n", + " and the parameters are [-3.04166083 4.11079945] -5.396597902056156 ;\n", + "Epoch 730/1000, Cost: 3.9591\n", + " and the parameters are [-3.04174462 4.11074513] -5.396600029810991 ;\n", + "Epoch 730/1000, Cost: 4.1951\n", + " and the parameters are [-3.04175192 4.11073648] -5.396623722961559 ;\n", + "Epoch 730/1000, Cost: 3.7496\n", + " and the parameters are [-3.04171081 4.11070874] -5.396677970899311 ;\n", + "Epoch 730/1000, Cost: 5.2935\n", + " and the parameters are [-3.04170842 4.11075798] -5.396660334895907 ;\n", + "Epoch 730/1000, Cost: 5.4921\n", + " and the parameters are [-3.04174803 4.11068395] -5.3967273581851245 ;\n", + "Epoch 730/1000, Cost: 3.8723\n", + " and the parameters are [-3.04175181 4.11072383] -5.396701713434383 ;\n", + "Epoch 730/1000, Cost: 1.7290\n", + " and the parameters are [-3.04176356 4.11076616] -5.396695954194587 ;\n", + "Epoch 730/1000, Cost: 3.3927\n", + " and the parameters are [-3.04172787 4.11075561] -5.396736554226061 ;\n", + "Epoch 730/1000, Cost: 1.2533\n", + " and the parameters are [-3.04174148 4.11080554] -5.396715644871601 ;\n", + "Epoch 730/1000, Cost: 1.3370\n", + " and the parameters are [-3.04174073 4.11086061] -5.396704913378542 ;\n", + "Epoch 730/1000, Cost: 7.3695\n", + " and the parameters are [-3.04174978 4.11065279] -5.396847936010856 ;\n", + "Epoch 730/1000, Cost: 1.1958\n", + " and the parameters are [-3.04176371 4.11063857] -5.396877382251172 ;\n", + "Epoch 730/1000, Cost: 2.1624\n", + " and the parameters are [-3.04173122 4.11065637] -5.396907376965833 ;\n", + "Epoch 730/1000, Cost: 1.0580\n", + " and the parameters are [-3.04174631 4.1106974 ] -5.396888921736598 ;\n", + "Epoch 730/1000, Cost: 2.9740\n", + " and the parameters are [-3.04176431 4.11075574] -5.396856997988345 ;\n", + "Epoch 730/1000, Cost: 1.6463\n", + " and the parameters are [-3.04178961 4.11079715] -5.396823112413449 ;\n", + "Epoch 730/1000, Cost: 3.4879\n", + " and the parameters are [-3.04178479 4.11086897] -5.3968066054637776 ;\n", + "Epoch 730/1000, Cost: 2.2272\n", + " and the parameters are [-3.04183789 4.11091346] -5.39677822575554 ;\n", + "Epoch 730/1000, Cost: 2.6010\n", + " and the parameters are [-3.04182401 4.1110146 ] -5.396736905139233 ;\n", + "Epoch 730/1000, Cost: 3.4750\n", + " and the parameters are [-3.0417648 4.1109989] -5.396795353290853 ;\n", + "Epoch 730/1000, Cost: 3.1852\n", + " and the parameters are [-3.04184615 4.11103252] -5.396756833736786 ;\n", + "Epoch 730/1000, Cost: 4.2020\n", + " and the parameters are [-3.04183727 4.11096416] -5.396834394070428 ;\n", + "Epoch 730/1000, Cost: 1.8092\n", + " and the parameters are [-3.04180594 4.11099611] -5.39685545773554 ;\n", + "Epoch 730/1000, Cost: 7.7672\n", + " and the parameters are [-3.04188176 4.11076376] -5.3969754707642945 ;\n", + "Epoch 730/1000, Cost: 3.2403\n", + " and the parameters are [-3.04190067 4.11075511] -5.396981886410175 ;\n", + "Epoch 730/1000, Cost: 2.8939\n", + " and the parameters are [-3.04196295 4.11074717] -5.396970538154979 ;\n", + "Epoch 730/1000, Cost: 2.5900\n", + " and the parameters are [-3.04198215 4.11079025] -5.396953538059671 ;\n", + "Epoch 730/1000, Cost: 4.5742\n", + " and the parameters are [-3.04187408 4.1108149 ] -5.3969942197697485 ;\n", + "Epoch 730/1000, Cost: 1.9617\n", + " and the parameters are [-3.04186984 4.11090119] -5.396953795152579 ;\n", + "Epoch 730/1000, Cost: 0.6931\n", + " and the parameters are [-3.04185598 4.11094247] -5.396947090753854 ;\n", + "Epoch 730/1000, Cost: 2.2709\n", + " and the parameters are [-3.04186593 4.11099469] -5.396924765047504 ;\n", + "Epoch 730/1000, Cost: 3.5838\n", + " and the parameters are [-3.04194088 4.11097711] -5.396918807480421 ;\n", + "Epoch 730/1000, Cost: 1.4309\n", + " and the parameters are [-3.04193581 4.11098056] -5.396947965074616 ;\n", + "Epoch 730/1000, Cost: 2.0704\n", + " and the parameters are [-3.04199582 4.11090296] -5.396998266234465 ;\n", + "Epoch 730/1000, Cost: 3.5376\n", + " and the parameters are [-3.04207051 4.11086314] -5.3970005179174025 ;\n", + "Epoch 730/1000, Cost: 4.9870\n", + " and the parameters are [-3.0421198 4.110711 ] -5.397084736420105 ;\n", + "Epoch 730/1000, Cost: 2.1436\n", + " and the parameters are [-3.04207804 4.11079705] -5.397066619575898 ;\n", + "Epoch 730/1000, Cost: 2.5588\n", + " and the parameters are [-3.04209535 4.11084989] -5.397049101775422 ;\n", + "Epoch 730/1000, Cost: 4.0513\n", + " and the parameters are [-3.04203484 4.11093617] -5.397040303882698 ;\n", + "Epoch 730/1000, Cost: 1.6677\n", + " and the parameters are [-3.04202978 4.11092837] -5.397071520854876 ;\n", + "Epoch 730/1000, Cost: 1.6571\n", + " and the parameters are [-3.04206105 4.11101318] -5.39702505830299 ;\n", + "Epoch 730/1000, Cost: 10.6361\n", + " and the parameters are [-3.04186874 4.11104273] -5.3970733842050125 ;\n", + "Epoch 730/1000, Cost: 1.9916\n", + " and the parameters are [-3.04182454 4.11103025] -5.397122545297562 ;\n", + "Epoch 730/1000, Cost: 2.7493\n", + " and the parameters are [-3.04183895 4.11106386] -5.397106601142177 ;\n", + "Epoch 730/1000, Cost: 3.8503\n", + " and the parameters are [-3.0418507 4.11104293] -5.397130452909115 ;\n", + "Epoch 730/1000, Cost: 2.4651\n", + " and the parameters are [-3.04189184 4.11094991] -5.397202082384575 ;\n", + "Epoch 730/1000, Cost: 1.3054\n", + " and the parameters are [-3.04187981 4.11099252] -5.397203699227528 ;\n", + "Epoch 730/1000, Cost: 1.4416\n", + " and the parameters are [-3.04191369 4.11101755] -5.397186623618123 ;\n", + "Epoch 730/1000, Cost: 4.6746\n", + " and the parameters are [-3.04186779 4.11102716] -5.397221189827988 ;\n", + "Epoch 730/1000, Cost: 1.5956\n", + " and the parameters are [-3.04183296 4.11101012] -5.397270967331327 ;\n", + "Epoch 730/1000, Cost: 2.1379\n", + " and the parameters are [-3.04185741 4.11105178] -5.397248465581858 ;\n", + "Epoch 730/1000, Cost: 3.4450\n", + " and the parameters are [-3.04182359 4.11113196] -5.397217219064507 ;\n", + "Epoch 730/1000, Cost: 3.0827\n", + " and the parameters are [-3.04184083 4.11106993] -5.397274118056905 ;\n", + "Epoch 730/1000, Cost: 2.9672\n", + " and the parameters are [-3.04180351 4.11118721] -5.3972383404136615 ;\n", + "Epoch 730/1000, Cost: 3.9323\n", + " and the parameters are [-3.04176492 4.11121844] -5.397265563981578 ;\n", + "Epoch 730/1000, Cost: 3.0579\n", + " and the parameters are [-3.04182309 4.11120796] -5.397248024174044 ;\n", + "Epoch 730/1000, Cost: 1.5366\n", + " and the parameters are [-3.04181144 4.11129641] -5.397204332831419 ;\n", + "Epoch 730/1000, Cost: 4.8562\n", + " and the parameters are [-3.04188994 4.11120223] -5.397251452357009 ;\n", + "Epoch 730/1000, Cost: 1.5561\n", + " and the parameters are [-3.0418835 4.11126222] -5.397233118167829 ;\n", + "Epoch 730/1000, Cost: 2.6904\n", + " and the parameters are [-3.04192679 4.11134593] -5.3971693485236525 ;\n", + "Epoch 730/1000, Cost: 1.3740\n", + " and the parameters are [-3.04189797 4.11139385] -5.397172014783788 ;\n", + "Epoch 730/1000, Cost: 3.2389\n", + " and the parameters are [-3.0420247 4.11124138] -5.3972380435158245 ;\n", + "Epoch 730/1000, Cost: 4.5587\n", + " and the parameters are [-3.04213546 4.11121352] -5.397219601303484 ;\n", + "Epoch 730/1000, Cost: 3.8562\n", + " and the parameters are [-3.04215936 4.11114881] -5.397255717046143 ;\n", + "Epoch 730/1000, Cost: 3.9642\n", + " and the parameters are [-3.0422499 4.11100632] -5.3973378190922245 ;\n", + "Epoch 730/1000, Cost: 1.4736\n", + " and the parameters are [-3.04223772 4.1110285 ] -5.397349522962609 ;\n", + "Epoch 730/1000, Cost: 2.8458\n", + " and the parameters are [-3.04224299 4.11110975] -5.397310364909483 ;\n", + "Epoch 730/1000, Cost: 3.0666\n", + " and the parameters are [-3.04226064 4.11105122] -5.397376953665379 ;\n", + "Epoch 730/1000, Cost: 7.0856\n", + " and the parameters are [-3.04224879 4.11094288] -5.3974531592391175 ;\n", + "Epoch 730/1000, Cost: 9.1362\n", + " and the parameters are [-3.04231273 4.11092776] -5.397401704737012 ;\n", + "Epoch 730/1000, Cost: 4.5559\n", + " and the parameters are [-3.0423435 4.11092878] -5.3974110985044526 ;\n", + "Epoch 730/1000, Cost: 4.0176\n", + " and the parameters are [-3.04229244 4.11098916] -5.397413274286139 ;\n", + "Epoch 730/1000, Cost: 3.2583\n", + " and the parameters are [-3.04232817 4.11107633] -5.3973564137434265 ;\n", + "Epoch 730/1000, Cost: 2.2282\n", + " and the parameters are [-3.04238543 4.11101013] -5.397391593600723 ;\n", + "Epoch 730/1000, Cost: 3.7712\n", + " and the parameters are [-3.04242316 4.11085634] -5.397505722964907 ;\n", + "Epoch 730/1000, Cost: 4.3463\n", + " and the parameters are [-3.04253946 4.11071429] -5.397582766977826 ;\n", + "Epoch 730/1000, Cost: 2.4738\n", + " and the parameters are [-3.042561 4.11076105] -5.397564212589253 ;\n", + "Epoch 730/1000, Cost: 3.4765\n", + " and the parameters are [-3.04257753 4.11074084] -5.397567500913525 ;\n", + "Epoch 730/1000, Cost: 2.8425\n", + " and the parameters are [-3.04258373 4.11081412] -5.397533723054598 ;\n", + "Epoch 730/1000, Cost: 2.5556\n", + " and the parameters are [-3.04270318 4.1108006 ] -5.397510034880307 ;\n", + "Epoch 730/1000, Cost: 8.0381\n", + " and the parameters are [-3.04274953 4.11079575] -5.39747027656875 ;\n", + "Epoch 730/1000, Cost: 1.8672\n", + " and the parameters are [-3.04273858 4.1107851 ] -5.39750737164966 ;\n", + "Epoch 730/1000, Cost: 2.7560\n", + " and the parameters are [-3.0427119 4.11078088] -5.397551827692803 ;\n", + "Epoch 730/1000, Cost: 1.3853\n", + " and the parameters are [-3.042705 4.11080677] -5.397567007844532 ;\n", + "Epoch 730/1000, Cost: 1.4086\n", + " and the parameters are [-3.04267673 4.11085249] -5.397572449354283 ;\n", + "Epoch 730/1000, Cost: 1.9931\n", + " and the parameters are [-3.04265085 4.11089242] -5.397584678239473 ;\n", + "Epoch 730/1000, Cost: 6.8139\n", + " and the parameters are [-3.04273478 4.11101534] -5.397433799606771 ;\n", + "Epoch 730/1000, Cost: 3.3812\n", + " and the parameters are [-3.04282449 4.11089258] -5.397491735113868 ;\n", + "Epoch 730/1000, Cost: 2.1697\n", + " and the parameters are [-3.04287211 4.11080154] -5.397546161074174 ;\n", + "Epoch 730/1000, Cost: 1.9796\n", + " and the parameters are [-3.04291821 4.11076968] -5.397565385243977 ;\n", + "Epoch 730/1000, Cost: 3.1825\n", + " and the parameters are [-3.0430488 4.11070234] -5.397546230873611 ;\n", + "Epoch 740/1000, Cost: 2.7112\n", + " and the parameters are [-3.05285205 4.12303179] -5.415083323143147 ;\n", + "Epoch 740/1000, Cost: 1.5289\n", + " and the parameters are [-3.0528622 4.12310743] -5.415049242864446 ;\n", + "Epoch 740/1000, Cost: 2.3154\n", + " and the parameters are [-3.05292466 4.12299527] -5.415118266709231 ;\n", + "Epoch 740/1000, Cost: 3.3143\n", + " and the parameters are [-3.05292172 4.12292568] -5.415209072741021 ;\n", + "Epoch 740/1000, Cost: 1.4530\n", + " and the parameters are [-3.05296961 4.12288555] -5.415241639159967 ;\n", + "Epoch 740/1000, Cost: 5.3797\n", + " and the parameters are [-3.05300532 4.12276233] -5.415306248631169 ;\n", + "Epoch 740/1000, Cost: 8.0579\n", + " and the parameters are [-3.05296121 4.12279811] -5.4152791491966825 ;\n", + "Epoch 740/1000, Cost: 2.8218\n", + " and the parameters are [-3.05295795 4.12288479] -5.415225923883796 ;\n", + "Epoch 740/1000, Cost: 2.9186\n", + " and the parameters are [-3.05303737 4.12281965] -5.415259189802968 ;\n", + "Epoch 740/1000, Cost: 8.0266\n", + " and the parameters are [-3.0530751 4.12264238] -5.415350193016114 ;\n", + "Epoch 740/1000, Cost: 4.4934\n", + " and the parameters are [-3.05307021 4.12264053] -5.4153435153616005 ;\n", + "Epoch 740/1000, Cost: 1.8484\n", + " and the parameters are [-3.05306339 4.12271333] -5.415324603462156 ;\n", + "Epoch 740/1000, Cost: 2.9366\n", + " and the parameters are [-3.05299114 4.1226886 ] -5.415388744011256 ;\n", + "Epoch 740/1000, Cost: 6.7064\n", + " and the parameters are [-3.05294992 4.1228529 ] -5.4152807702146015 ;\n", + "Epoch 740/1000, Cost: 1.9193\n", + " and the parameters are [-3.05298424 4.12287854] -5.41526937036914 ;\n", + "Epoch 740/1000, Cost: 4.2809\n", + " and the parameters are [-3.05307 4.122772] -5.415311217015755 ;\n", + "Epoch 740/1000, Cost: 3.6931\n", + " and the parameters are [-3.05307797 4.12281714] -5.415285177389604 ;\n", + "Epoch 740/1000, Cost: 2.1223\n", + " and the parameters are [-3.05309719 4.12284208] -5.415286563412176 ;\n", + "Epoch 740/1000, Cost: 1.4871\n", + " and the parameters are [-3.05310931 4.12291321] -5.415250778793778 ;\n", + "Epoch 740/1000, Cost: 6.9446\n", + " and the parameters are [-3.05304143 4.12289525] -5.41528980427139 ;\n", + "Epoch 740/1000, Cost: 4.6173\n", + " and the parameters are [-3.05296535 4.12279852] -5.415432568710897 ;\n", + "Epoch 740/1000, Cost: 1.7405\n", + " and the parameters are [-3.05293254 4.12287495] -5.415408932074848 ;\n", + "Epoch 740/1000, Cost: 5.0960\n", + " and the parameters are [-3.05291444 4.12291299] -5.415403476535774 ;\n", + "Epoch 740/1000, Cost: 1.5109\n", + " and the parameters are [-3.05292195 4.12297686] -5.4153755485228565 ;\n", + "Epoch 740/1000, Cost: 3.6547\n", + " and the parameters are [-3.05292917 4.12296182] -5.415401921129303 ;\n", + "Epoch 740/1000, Cost: 2.5402\n", + " and the parameters are [-3.05288204 4.12307741] -5.415377459868332 ;\n", + "Epoch 740/1000, Cost: 1.9582\n", + " and the parameters are [-3.05284276 4.12320559] -5.4153258698015625 ;\n", + "Epoch 740/1000, Cost: 3.4282\n", + " and the parameters are [-3.05285577 4.12309482] -5.415424713388924 ;\n", + "Epoch 740/1000, Cost: 5.0548\n", + " and the parameters are [-3.05289516 4.12307843] -5.41543150417718 ;\n", + "Epoch 740/1000, Cost: 3.8170\n", + " and the parameters are [-3.05281359 4.12303521] -5.415525804047564 ;\n", + "Epoch 740/1000, Cost: 3.2096\n", + " and the parameters are [-3.05281793 4.12309479] -5.415495827957806 ;\n", + "Epoch 740/1000, Cost: 10.5333\n", + " and the parameters are [-3.05291593 4.12294977] -5.415505882793107 ;\n", + "Epoch 740/1000, Cost: 2.7478\n", + " and the parameters are [-3.05283604 4.12302966] -5.415497389159148 ;\n", + "Epoch 740/1000, Cost: 4.6103\n", + " and the parameters are [-3.05290903 4.12297074] -5.415515564230163 ;\n", + "Epoch 740/1000, Cost: 1.6569\n", + " and the parameters are [-3.05289627 4.12299099] -5.415532974320977 ;\n", + "Epoch 740/1000, Cost: 5.1546\n", + " and the parameters are [-3.05287298 4.12310478] -5.415460980188483 ;\n", + "Epoch 740/1000, Cost: 1.4001\n", + " and the parameters are [-3.05286115 4.12315389] -5.415460153838848 ;\n", + "Epoch 740/1000, Cost: 2.4154\n", + " and the parameters are [-3.05288427 4.12314358] -5.415475186928549 ;\n", + "Epoch 740/1000, Cost: 1.9633\n", + " and the parameters are [-3.05288273 4.12319654] -5.415463405260674 ;\n", + "Epoch 740/1000, Cost: 1.7532\n", + " and the parameters are [-3.0528874 4.12319529] -5.415490065446891 ;\n", + "Epoch 740/1000, Cost: 6.5839\n", + " and the parameters are [-3.05283849 4.12322323] -5.415470061233517 ;\n", + "Epoch 740/1000, Cost: 2.8359\n", + " and the parameters are [-3.05292563 4.12314887] -5.415500480727802 ;\n", + "Epoch 740/1000, Cost: 1.8283\n", + " and the parameters are [-3.05292175 4.12321106] -5.415477931071268 ;\n", + "Epoch 740/1000, Cost: 5.3239\n", + " and the parameters are [-3.05293105 4.12309802] -5.415546480930222 ;\n", + "Epoch 740/1000, Cost: 4.2642\n", + " and the parameters are [-3.05293204 4.12303392] -5.415609121103531 ;\n", + "Epoch 740/1000, Cost: 1.7537\n", + " and the parameters are [-3.05292326 4.1230141 ] -5.41565645662547 ;\n", + "Epoch 740/1000, Cost: 2.0135\n", + " and the parameters are [-3.05289256 4.12306718] -5.415664113709941 ;\n", + "Epoch 740/1000, Cost: 2.5306\n", + " and the parameters are [-3.05291251 4.12299265] -5.41573797597093 ;\n", + "Epoch 740/1000, Cost: 1.0647\n", + " and the parameters are [-3.05290714 4.12300133] -5.415756767362418 ;\n", + "Epoch 740/1000, Cost: 1.2976\n", + " and the parameters are [-3.05287092 4.12310824] -5.4157201058264866 ;\n", + "Epoch 740/1000, Cost: 3.7496\n", + " and the parameters are [-3.05291988 4.12315266] -5.415676231137802 ;\n", + "Epoch 740/1000, Cost: 1.1495\n", + " and the parameters are [-3.05289651 4.1231939 ] -5.415682325786302 ;\n", + "Epoch 740/1000, Cost: 4.6048\n", + " and the parameters are [-3.05287048 4.12307623] -5.415811895951115 ;\n", + "Epoch 740/1000, Cost: 2.2501\n", + " and the parameters are [-3.05286586 4.12316711] -5.415770048696941 ;\n", + "Epoch 740/1000, Cost: 6.5861\n", + " and the parameters are [-3.05282037 4.12315548] -5.415806019201741 ;\n", + "Epoch 740/1000, Cost: 1.6812\n", + " and the parameters are [-3.05289115 4.12308464] -5.41584532751619 ;\n", + "Epoch 740/1000, Cost: 2.8234\n", + " and the parameters are [-3.0529235 4.12312295] -5.41583375837606 ;\n", + "Epoch 740/1000, Cost: 0.6179\n", + " and the parameters are [-3.05290454 4.12317783] -5.415821015594626 ;\n", + "Epoch 740/1000, Cost: 7.0863\n", + " and the parameters are [-3.05282126 4.12330831] -5.415748790207442 ;\n", + "Epoch 740/1000, Cost: 0.8896\n", + " and the parameters are [-3.05283311 4.12330859] -5.415760197660901 ;\n", + "Epoch 740/1000, Cost: 4.1513\n", + " and the parameters are [-3.05276588 4.12325253] -5.4158517144616924 ;\n", + "Epoch 740/1000, Cost: 3.4391\n", + " and the parameters are [-3.05271342 4.12335819] -5.415816715870135 ;\n", + "Epoch 740/1000, Cost: 2.9934\n", + " and the parameters are [-3.05269196 4.12337021] -5.41582364691633 ;\n", + "Epoch 740/1000, Cost: 4.9967\n", + " and the parameters are [-3.05272027 4.12333921] -5.415836464919588 ;\n", + "Epoch 740/1000, Cost: 3.1235\n", + " and the parameters are [-3.0528251 4.12321355] -5.415883488011212 ;\n", + "Epoch 740/1000, Cost: 2.0943\n", + " and the parameters are [-3.05286232 4.12322163] -5.415889834044051 ;\n", + "Epoch 740/1000, Cost: 1.3631\n", + " and the parameters are [-3.05284347 4.12325738] -5.415899026305745 ;\n", + "Epoch 740/1000, Cost: 2.7630\n", + " and the parameters are [-3.05290403 4.12326762] -5.415875214608106 ;\n", + "Epoch 740/1000, Cost: 1.0475\n", + " and the parameters are [-3.05293 4.12330329] -5.415856755465384 ;\n", + "Epoch 740/1000, Cost: 3.0885\n", + " and the parameters are [-3.05298025 4.12330853] -5.415825621530409 ;\n", + "Epoch 740/1000, Cost: 3.7723\n", + " and the parameters are [-3.05299968 4.1231793 ] -5.415919581915179 ;\n", + "Epoch 740/1000, Cost: 2.1433\n", + " and the parameters are [-3.05298517 4.12320051] -5.415935312323936 ;\n", + "Epoch 740/1000, Cost: 1.7629\n", + " and the parameters are [-3.05299718 4.12317223] -5.415974185474119 ;\n", + "Epoch 740/1000, Cost: 1.4215\n", + " and the parameters are [-3.05302173 4.12315606] -5.415996433302617 ;\n", + "Epoch 740/1000, Cost: 4.9469\n", + " and the parameters are [-3.05308022 4.12311268] -5.416014554690373 ;\n", + "Epoch 740/1000, Cost: 2.8257\n", + " and the parameters are [-3.0531359 4.12302041] -5.416071775478999 ;\n", + "Epoch 740/1000, Cost: 2.9430\n", + " and the parameters are [-3.05324076 4.12302756] -5.416037525024623 ;\n", + "Epoch 740/1000, Cost: 1.4897\n", + " and the parameters are [-3.05327958 4.12304479] -5.416020609296781 ;\n", + "Epoch 740/1000, Cost: 2.4644\n", + " and the parameters are [-3.0532896 4.1230861] -5.416005665470777 ;\n", + "Epoch 740/1000, Cost: 1.6128\n", + " and the parameters are [-3.05328666 4.12314937] -5.415984259621624 ;\n", + "Epoch 740/1000, Cost: 2.1691\n", + " and the parameters are [-3.05325859 4.12319579] -5.4159830608741295 ;\n", + "Epoch 740/1000, Cost: 4.3087\n", + " and the parameters are [-3.05333213 4.12300182] -5.4160939142282185 ;\n", + "Epoch 740/1000, Cost: 2.0211\n", + " and the parameters are [-3.05337355 4.12301576] -5.416073557690143 ;\n", + "Epoch 740/1000, Cost: 4.7633\n", + " and the parameters are [-3.05339304 4.12286522] -5.416214283274941 ;\n", + "Epoch 740/1000, Cost: 4.5565\n", + " and the parameters are [-3.05336541 4.12305977] -5.416112466656992 ;\n", + "Epoch 740/1000, Cost: 3.2109\n", + " and the parameters are [-3.05338475 4.12299461] -5.4161780600464455 ;\n", + "Epoch 740/1000, Cost: 1.3604\n", + " and the parameters are [-3.05337875 4.12302746] -5.416178932242427 ;\n", + "Epoch 740/1000, Cost: 1.9700\n", + " and the parameters are [-3.0534187 4.12301702] -5.416184999040002 ;\n", + "Epoch 740/1000, Cost: 1.2320\n", + " and the parameters are [-3.05343123 4.12305729] -5.416170919729332 ;\n", + "Epoch 740/1000, Cost: 3.8850\n", + " and the parameters are [-3.05339554 4.1230398 ] -5.416209713174697 ;\n", + "Epoch 740/1000, Cost: 2.4530\n", + " and the parameters are [-3.05337232 4.12305785] -5.4162406082114956 ;\n", + "Epoch 740/1000, Cost: 1.7021\n", + " and the parameters are [-3.05333788 4.12304281] -5.416299225477992 ;\n", + "Epoch 740/1000, Cost: 4.3074\n", + " and the parameters are [-3.05329225 4.12309535] -5.416310300429076 ;\n", + "Epoch 740/1000, Cost: 1.4357\n", + " and the parameters are [-3.0532996 4.12310918] -5.416322629973445 ;\n", + "Epoch 740/1000, Cost: 4.9431\n", + " and the parameters are [-3.05336378 4.1229844 ] -5.4164067987265465 ;\n", + "Epoch 740/1000, Cost: 2.9921\n", + " and the parameters are [-3.05328999 4.12314786] -5.41634518989904 ;\n", + "Epoch 740/1000, Cost: 2.4912\n", + " and the parameters are [-3.05335844 4.12315338] -5.41633387174111 ;\n", + "Epoch 740/1000, Cost: 3.2995\n", + " and the parameters are [-3.05333568 4.12310587] -5.416399764192164 ;\n", + "Epoch 740/1000, Cost: 4.0424\n", + " and the parameters are [-3.05343035 4.12296975] -5.416454114590484 ;\n", + "Epoch 740/1000, Cost: 4.7012\n", + " and the parameters are [-3.05338611 4.12313343] -5.416376024818513 ;\n", + "Epoch 740/1000, Cost: 1.2050\n", + " and the parameters are [-3.05338373 4.12314915] -5.41639570486561 ;\n", + "Epoch 740/1000, Cost: 1.1494\n", + " and the parameters are [-3.0533838 4.12316388] -5.416400762070254 ;\n", + "Epoch 740/1000, Cost: 1.0462\n", + " and the parameters are [-3.05341405 4.12313548] -5.416422123057984 ;\n", + "Epoch 740/1000, Cost: 5.0095\n", + " and the parameters are [-3.05345983 4.12301506] -5.416507572917745 ;\n", + "Epoch 740/1000, Cost: 1.8854\n", + " and the parameters are [-3.0534239 4.1230472] -5.416536023294644 ;\n", + "Epoch 740/1000, Cost: 4.7502\n", + " and the parameters are [-3.05348404 4.12291401] -5.416625172229954 ;\n", + "Epoch 740/1000, Cost: 0.7094\n", + " and the parameters are [-3.05349633 4.12290534] -5.416640699659453 ;\n", + "Epoch 740/1000, Cost: 4.7924\n", + " and the parameters are [-3.05351136 4.12289361] -5.416648377940634 ;\n", + "Epoch 740/1000, Cost: 3.0227\n", + " and the parameters are [-3.0535219 4.12292235] -5.416646091048008 ;\n", + "Epoch 740/1000, Cost: 1.5811\n", + " and the parameters are [-3.05355717 4.12287371] -5.4166897068314634 ;\n", + "Epoch 740/1000, Cost: 0.9458\n", + " and the parameters are [-3.05355284 4.1229142 ] -5.416685267953292 ;\n", + "Epoch 740/1000, Cost: 2.4832\n", + " and the parameters are [-3.05357525 4.12293999] -5.416689148981038 ;\n", + "Epoch 740/1000, Cost: 4.5484\n", + " and the parameters are [-3.05356954 4.12307556] -5.416611245384712 ;\n", + "Epoch 740/1000, Cost: 4.4992\n", + " and the parameters are [-3.05360602 4.12303536] -5.416629959474114 ;\n", + "Epoch 740/1000, Cost: 2.1561\n", + " and the parameters are [-3.05358967 4.12307839] -5.4166400522661435 ;\n", + "Epoch 740/1000, Cost: 6.7542\n", + " and the parameters are [-3.05357601 4.12315439] -5.416575591581245 ;\n", + "Epoch 740/1000, Cost: 3.6456\n", + " and the parameters are [-3.05355688 4.12329462] -5.416501023252702 ;\n", + "Epoch 740/1000, Cost: 3.8507\n", + " and the parameters are [-3.05353376 4.12343578] -5.41641947044395 ;\n", + "Epoch 740/1000, Cost: 0.3605\n", + " and the parameters are [-3.05352967 4.12346261] -5.416413619084484 ;\n", + "Epoch 740/1000, Cost: 2.0613\n", + " and the parameters are [-3.05349135 4.12348746] -5.416446235892803 ;\n", + "Epoch 740/1000, Cost: 4.8024\n", + " and the parameters are [-3.05364483 4.12336912] -5.4164535079375 ;\n", + "Epoch 740/1000, Cost: 5.2240\n", + " and the parameters are [-3.0536638 4.12332695] -5.416489829400858 ;\n", + "Epoch 740/1000, Cost: 3.1839\n", + " and the parameters are [-3.05364087 4.1233789 ] -5.416487359289223 ;\n", + "Epoch 740/1000, Cost: 7.2291\n", + " and the parameters are [-3.05371718 4.12345636] -5.416376570758337 ;\n", + "Epoch 740/1000, Cost: 4.9862\n", + " and the parameters are [-3.0536504 4.12341524] -5.416443761823367 ;\n", + "Epoch 740/1000, Cost: 3.3928\n", + " and the parameters are [-3.05371412 4.12345167] -5.416410551509176 ;\n", + "Epoch 740/1000, Cost: 1.3648\n", + " and the parameters are [-3.05372329 4.12346387] -5.416419290427336 ;\n", + "Epoch 740/1000, Cost: 2.7951\n", + " and the parameters are [-3.05374954 4.12339298] -5.416487689274461 ;\n", + "Epoch 740/1000, Cost: 2.1551\n", + " and the parameters are [-3.05375019 4.12345925] -5.41646593772566 ;\n", + "Epoch 740/1000, Cost: 2.8821\n", + " and the parameters are [-3.05379007 4.12352664] -5.416417837614285 ;\n", + "Epoch 740/1000, Cost: 1.3844\n", + " and the parameters are [-3.05379279 4.12356617] -5.416410462251815 ;\n", + "Epoch 740/1000, Cost: 0.7170\n", + " and the parameters are [-3.05377225 4.1235859 ] -5.416425845885906 ;\n", + "Epoch 740/1000, Cost: 5.9776\n", + " and the parameters are [-3.0537109 4.12366593] -5.416384606085182 ;\n", + "Epoch 740/1000, Cost: 2.5471\n", + " and the parameters are [-3.05376241 4.12367375] -5.416362180945772 ;\n", + "Epoch 740/1000, Cost: 3.7819\n", + " and the parameters are [-3.05385836 4.12353838] -5.416436260582 ;\n", + "Epoch 740/1000, Cost: 1.8752\n", + " and the parameters are [-3.05385091 4.12354898] -5.41645362911092 ;\n", + "Epoch 740/1000, Cost: 1.7613\n", + " and the parameters are [-3.05383737 4.1235866 ] -5.416455764247954 ;\n", + "Epoch 740/1000, Cost: 1.1583\n", + " and the parameters are [-3.05383814 4.12358725] -5.416482529423579 ;\n", + "Epoch 740/1000, Cost: 2.2323\n", + " and the parameters are [-3.05383705 4.12362216] -5.416477340747578 ;\n", + "Epoch 740/1000, Cost: 4.1482\n", + " and the parameters are [-3.05387823 4.12362113] -5.4164815495992915 ;\n", + "Epoch 740/1000, Cost: 2.7401\n", + " and the parameters are [-3.05379425 4.12371346] -5.416481987255011 ;\n", + "Epoch 740/1000, Cost: 5.4000\n", + " and the parameters are [-3.0537842 4.12376428] -5.416433503257235 ;\n", + "Epoch 740/1000, Cost: 1.8189\n", + " and the parameters are [-3.053805 4.12370949] -5.416481161799353 ;\n", + "Epoch 740/1000, Cost: 3.9995\n", + " and the parameters are [-3.05377139 4.12371345] -5.416520978706818 ;\n", + "Epoch 740/1000, Cost: 5.3263\n", + " and the parameters are [-3.05377047 4.12366774] -5.416566246043746 ;\n", + "Epoch 740/1000, Cost: 0.9971\n", + " and the parameters are [-3.05379232 4.1236978 ] -5.416548723249254 ;\n", + "Epoch 740/1000, Cost: 2.6386\n", + " and the parameters are [-3.05385549 4.12368534] -5.416546643493328 ;\n", + "Epoch 740/1000, Cost: 2.3565\n", + " and the parameters are [-3.05385869 4.12371031] -5.416560166847372 ;\n", + "Epoch 740/1000, Cost: 1.9458\n", + " and the parameters are [-3.05383869 4.12376833] -5.41653886484582 ;\n", + "Epoch 740/1000, Cost: 1.2165\n", + " and the parameters are [-3.05383743 4.12381739] -5.416526573189336 ;\n", + "Epoch 740/1000, Cost: 1.9290\n", + " and the parameters are [-3.05383057 4.12379256] -5.416573415957636 ;\n", + "Epoch 740/1000, Cost: 4.3340\n", + " and the parameters are [-3.05381628 4.12375543] -5.416606546988094 ;\n", + "Epoch 740/1000, Cost: 0.8363\n", + " and the parameters are [-3.0538165 4.12378638] -5.416604613552213 ;\n", + "Epoch 740/1000, Cost: 4.2379\n", + " and the parameters are [-3.05378218 4.12380792] -5.416606915113588 ;\n", + "Epoch 740/1000, Cost: 2.0678\n", + " and the parameters are [-3.05378893 4.12379673] -5.416637272327206 ;\n", + "Epoch 740/1000, Cost: 3.1005\n", + " and the parameters are [-3.05376258 4.1238242 ] -5.416645425154581 ;\n", + "Epoch 740/1000, Cost: 1.3202\n", + " and the parameters are [-3.05376366 4.12386115] -5.416642569371022 ;\n", + "Epoch 740/1000, Cost: 3.8014\n", + " and the parameters are [-3.05377347 4.12402981] -5.416520129283735 ;\n", + "Epoch 740/1000, Cost: 3.2877\n", + " and the parameters are [-3.05374666 4.12408464] -5.416521451357822 ;\n", + "Epoch 740/1000, Cost: 4.9900\n", + " and the parameters are [-3.05367278 4.12400381] -5.416641625997408 ;\n", + "Epoch 740/1000, Cost: 2.9371\n", + " and the parameters are [-3.05376241 4.12399609] -5.416637969507556 ;\n", + "Epoch 740/1000, Cost: 5.7273\n", + " and the parameters are [-3.05366327 4.12420175] -5.416555334316471 ;\n", + "Epoch 740/1000, Cost: 3.6031\n", + " and the parameters are [-3.05366909 4.12417316] -5.416599524519893 ;\n", + "Epoch 740/1000, Cost: 4.5277\n", + " and the parameters are [-3.05369422 4.12410567] -5.416650660184738 ;\n", + "Epoch 740/1000, Cost: 3.2470\n", + " and the parameters are [-3.0537391 4.12411979] -5.416639657596905 ;\n", + "Epoch 740/1000, Cost: 3.1429\n", + " and the parameters are [-3.05372471 4.12413893] -5.4166426119702376 ;\n", + "Epoch 740/1000, Cost: 1.5440\n", + " and the parameters are [-3.05374031 4.12416406] -5.4166428048713735 ;\n", + "Epoch 740/1000, Cost: 3.7155\n", + " and the parameters are [-3.05366374 4.12425212] -5.416636427180204 ;\n", + "Epoch 740/1000, Cost: 1.7121\n", + " and the parameters are [-3.0536689 4.12429113] -5.416626030175198 ;\n", + "Epoch 740/1000, Cost: 1.0224\n", + " and the parameters are [-3.05365982 4.12434359] -5.416614384923487 ;\n", + "Epoch 740/1000, Cost: 1.1814\n", + " and the parameters are [-3.05364153 4.12439381] -5.416605431556652 ;\n", + "Epoch 740/1000, Cost: 1.7741\n", + " and the parameters are [-3.05370778 4.12440153] -5.416584700035124 ;\n", + "Epoch 740/1000, Cost: 3.7972\n", + " and the parameters are [-3.05367618 4.1244983 ] -5.416554002469024 ;\n", + "Epoch 740/1000, Cost: 1.2668\n", + " and the parameters are [-3.05368127 4.12454028] -5.416542532306272 ;\n", + "Epoch 740/1000, Cost: 3.3233\n", + " and the parameters are [-3.05365074 4.12453193] -5.416583984341223 ;\n", + "Epoch 740/1000, Cost: 3.2312\n", + " and the parameters are [-3.05375485 4.12449288] -5.416591034157662 ;\n", + "Epoch 740/1000, Cost: 3.7000\n", + " and the parameters are [-3.0537696 4.12441383] -5.4166609525551666 ;\n", + "Epoch 740/1000, Cost: 3.2376\n", + " and the parameters are [-3.05379722 4.12437283] -5.4167060892380015 ;\n", + "Epoch 740/1000, Cost: 5.5429\n", + " and the parameters are [-3.05385727 4.12426232] -5.416766850350566 ;\n", + "Epoch 740/1000, Cost: 1.6836\n", + " and the parameters are [-3.0538703 4.12426609] -5.416777310232054 ;\n", + "Epoch 740/1000, Cost: 2.8562\n", + " and the parameters are [-3.05386415 4.12420744] -5.4168603063778304 ;\n", + "Epoch 740/1000, Cost: 1.4104\n", + " and the parameters are [-3.05390247 4.12416787] -5.4168879408826 ;\n", + "Epoch 740/1000, Cost: 5.3155\n", + " and the parameters are [-3.05387565 4.12417012] -5.416900214631616 ;\n", + "Epoch 740/1000, Cost: 2.7512\n", + " and the parameters are [-3.05393028 4.12422665] -5.416849813830857 ;\n", + "Epoch 740/1000, Cost: 4.3795\n", + " and the parameters are [-3.05389851 4.12427194] -5.416823426573242 ;\n", + "Epoch 740/1000, Cost: 5.0178\n", + " and the parameters are [-3.05390741 4.12414159] -5.4169142359970355 ;\n", + "Epoch 740/1000, Cost: 4.4395\n", + " and the parameters are [-3.05389794 4.12405653] -5.416996091530683 ;\n", + "Epoch 740/1000, Cost: 5.2424\n", + " and the parameters are [-3.05399763 4.12405258] -5.416944778949154 ;\n", + "Epoch 740/1000, Cost: 3.2782\n", + " and the parameters are [-3.05396119 4.12409645] -5.416953544522858 ;\n", + "Epoch 740/1000, Cost: 3.0698\n", + " and the parameters are [-3.05393571 4.12406841] -5.417012025889959 ;\n", + "Epoch 740/1000, Cost: 1.8724\n", + " and the parameters are [-3.05394027 4.1240283 ] -5.417050455142266 ;\n", + "Epoch 740/1000, Cost: 4.0464\n", + " and the parameters are [-3.0539366 4.12412829] -5.416992669472949 ;\n", + "Epoch 740/1000, Cost: 3.8424\n", + " and the parameters are [-3.05389028 4.12429943] -5.41691517326815 ;\n", + "Epoch 740/1000, Cost: 1.7912\n", + " and the parameters are [-3.0538618 4.12440518] -5.416873661756825 ;\n", + "Epoch 740/1000, Cost: 1.7084\n", + " and the parameters are [-3.0538253 4.12440845] -5.416916330634271 ;\n", + "Epoch 740/1000, Cost: 1.8638\n", + " and the parameters are [-3.05384227 4.12440869] -5.416933040653549 ;\n", + "Epoch 740/1000, Cost: 2.9062\n", + " and the parameters are [-3.0539544 4.12432946] -5.416956729905296 ;\n", + "Epoch 740/1000, Cost: 1.5725\n", + " and the parameters are [-3.05398657 4.12430713] -5.416978415661104 ;\n", + "Epoch 740/1000, Cost: 1.0207\n", + " and the parameters are [-3.05394678 4.12437205] -5.416977196144819 ;\n", + "Epoch 740/1000, Cost: 1.2864\n", + " and the parameters are [-3.05395377 4.12439509] -5.416983264937177 ;\n", + "Epoch 750/1000, Cost: 2.4359\n", + " and the parameters are [-3.06366115 4.13655799] -5.434277710453079 ;\n", + "Epoch 750/1000, Cost: 3.8669\n", + " and the parameters are [-3.06365905 4.13650712] -5.4343353565970824 ;\n", + "Epoch 750/1000, Cost: 2.7093\n", + " and the parameters are [-3.06359907 4.13649847] -5.43438646357341 ;\n", + "Epoch 750/1000, Cost: 2.2343\n", + " and the parameters are [-3.06365594 4.13649219] -5.434381192475415 ;\n", + "Epoch 750/1000, Cost: 2.2155\n", + " and the parameters are [-3.06369826 4.13652728] -5.43435402979027 ;\n", + "Epoch 750/1000, Cost: 5.2272\n", + " and the parameters are [-3.06375911 4.1365561 ] -5.434322679499415 ;\n", + "Epoch 750/1000, Cost: 2.9103\n", + " and the parameters are [-3.0637789 4.13668656] -5.434236200229712 ;\n", + "Epoch 750/1000, Cost: 8.7731\n", + " and the parameters are [-3.06377719 4.1366719 ] -5.434227575118537 ;\n", + "Epoch 750/1000, Cost: 2.4070\n", + " and the parameters are [-3.06375003 4.13664655] -5.4342898289107655 ;\n", + "Epoch 750/1000, Cost: 3.1604\n", + " and the parameters are [-3.06369574 4.13685168] -5.434199445701666 ;\n", + "Epoch 750/1000, Cost: 1.0379\n", + " and the parameters are [-3.06369127 4.13690811] -5.434180546862796 ;\n", + "Epoch 750/1000, Cost: 1.9612\n", + " and the parameters are [-3.06365266 4.13690564] -5.434222948712886 ;\n", + "Epoch 750/1000, Cost: 3.7509\n", + " and the parameters are [-3.06365032 4.1369595 ] -5.434199055026196 ;\n", + "Epoch 750/1000, Cost: 6.2123\n", + " and the parameters are [-3.06377651 4.13692664] -5.434168834291495 ;\n", + "Epoch 750/1000, Cost: 1.1931\n", + " and the parameters are [-3.06373951 4.1369365 ] -5.434194958071178 ;\n", + "Epoch 750/1000, Cost: 2.0180\n", + " and the parameters are [-3.06370926 4.13701076] -5.434178400703836 ;\n", + "Epoch 750/1000, Cost: 2.7089\n", + " and the parameters are [-3.06366657 4.13705019] -5.434184311334776 ;\n", + "Epoch 750/1000, Cost: 1.9858\n", + " and the parameters are [-3.06368111 4.13707925] -5.434172551133439 ;\n", + "Epoch 750/1000, Cost: 2.4159\n", + " and the parameters are [-3.06367914 4.13711754] -5.434172187363326 ;\n", + "Epoch 750/1000, Cost: 0.8355\n", + " and the parameters are [-3.06365493 4.13715745] -5.434173638247215 ;\n", + "Epoch 750/1000, Cost: 1.4483\n", + " and the parameters are [-3.06362226 4.13721691] -5.434172128578679 ;\n", + "Epoch 750/1000, Cost: 2.8941\n", + " and the parameters are [-3.0636362 4.13710295] -5.43426682970837 ;\n", + "Epoch 750/1000, Cost: 1.8839\n", + " and the parameters are [-3.06368346 4.13705593] -5.434294526100955 ;\n", + "Epoch 750/1000, Cost: 1.1596\n", + " and the parameters are [-3.06367977 4.13705275] -5.434325384807605 ;\n", + "Epoch 750/1000, Cost: 6.2026\n", + " and the parameters are [-3.06368339 4.13695934] -5.434387604510266 ;\n", + "Epoch 750/1000, Cost: 1.5999\n", + " and the parameters are [-3.06367899 4.13696048] -5.434414423649919 ;\n", + "Epoch 750/1000, Cost: 2.9537\n", + " and the parameters are [-3.06372507 4.13690886] -5.434456875272292 ;\n", + "Epoch 750/1000, Cost: 9.4996\n", + " and the parameters are [-3.06358872 4.13685269] -5.434534278954748 ;\n", + "Epoch 750/1000, Cost: 4.0062\n", + " and the parameters are [-3.06363298 4.13682681] -5.434559171536911 ;\n", + "Epoch 750/1000, Cost: 4.9787\n", + " and the parameters are [-3.06367592 4.13675482] -5.434593425998738 ;\n", + "Epoch 750/1000, Cost: 4.0587\n", + " and the parameters are [-3.06365617 4.13685831] -5.434536392745831 ;\n", + "Epoch 750/1000, Cost: 2.9968\n", + " and the parameters are [-3.06370147 4.13688278] -5.434512037840098 ;\n", + "Epoch 750/1000, Cost: 4.4789\n", + " and the parameters are [-3.06369188 4.13689108] -5.434548332559252 ;\n", + "Epoch 750/1000, Cost: 6.2461\n", + " and the parameters are [-3.06368138 4.13687055] -5.434559971400952 ;\n", + "Epoch 750/1000, Cost: 2.2590\n", + " and the parameters are [-3.06366156 4.13700243] -5.4344875115018825 ;\n", + "Epoch 750/1000, Cost: 2.8880\n", + " and the parameters are [-3.06366879 4.13692921] -5.434544334813842 ;\n", + "Epoch 750/1000, Cost: 2.2860\n", + " and the parameters are [-3.06368911 4.13693 ] -5.43456267823555 ;\n", + "Epoch 750/1000, Cost: 4.0722\n", + " and the parameters are [-3.06365816 4.13697348] -5.434570056234754 ;\n", + "Epoch 750/1000, Cost: 3.5591\n", + " and the parameters are [-3.06369798 4.13692813] -5.434611123567876 ;\n", + "Epoch 750/1000, Cost: 3.0945\n", + " and the parameters are [-3.0637441 4.13692923] -5.434606463795596 ;\n", + "Epoch 750/1000, Cost: 1.4842\n", + " and the parameters are [-3.06372118 4.13701682] -5.434578053763767 ;\n", + "Epoch 750/1000, Cost: 0.8002\n", + " and the parameters are [-3.06370809 4.13705326] -5.434579426643306 ;\n", + "Epoch 750/1000, Cost: 4.1264\n", + " and the parameters are [-3.06365123 4.13715101] -5.434559962708135 ;\n", + "Epoch 750/1000, Cost: 3.5634\n", + " and the parameters are [-3.06361837 4.13722836] -5.434544141822202 ;\n", + "Epoch 750/1000, Cost: 1.9888\n", + " and the parameters are [-3.0636047 4.13726015] -5.434557155548211 ;\n", + "Epoch 750/1000, Cost: 1.6287\n", + " and the parameters are [-3.06361566 4.13720373] -5.434618202053497 ;\n", + "Epoch 750/1000, Cost: 2.0252\n", + " and the parameters are [-3.0636296 4.13725797] -5.434596215806573 ;\n", + "Epoch 750/1000, Cost: 1.9802\n", + " and the parameters are [-3.0636455 4.13718895] -5.4346582696483825 ;\n", + "Epoch 750/1000, Cost: 2.4090\n", + " and the parameters are [-3.06363868 4.13711316] -5.434740919494275 ;\n", + "Epoch 750/1000, Cost: 1.8431\n", + " and the parameters are [-3.06360159 4.13717139] -5.434749447485909 ;\n", + "Epoch 750/1000, Cost: 6.7348\n", + " and the parameters are [-3.06368328 4.13716827] -5.434708269530893 ;\n", + "Epoch 750/1000, Cost: 1.9301\n", + " and the parameters are [-3.06362921 4.13723019] -5.434708046092363 ;\n", + "Epoch 750/1000, Cost: 4.8683\n", + " and the parameters are [-3.06375505 4.13707028] -5.434766831452128 ;\n", + "Epoch 750/1000, Cost: 0.6099\n", + " and the parameters are [-3.06374565 4.13708688] -5.434777016410917 ;\n", + "Epoch 750/1000, Cost: 3.1825\n", + " and the parameters are [-3.06373157 4.13705148] -5.434830347394316 ;\n", + "Epoch 750/1000, Cost: 1.3626\n", + " and the parameters are [-3.06371424 4.13708801] -5.434832339246694 ;\n", + "Epoch 750/1000, Cost: 1.2704\n", + " and the parameters are [-3.06372203 4.1371188 ] -5.434831386766953 ;\n", + "Epoch 750/1000, Cost: 3.0732\n", + " and the parameters are [-3.06368857 4.1371525 ] -5.434857204538438 ;\n", + "Epoch 750/1000, Cost: 3.0937\n", + " and the parameters are [-3.06368281 4.13708825] -5.434911507660749 ;\n", + "Epoch 750/1000, Cost: 0.9258\n", + " and the parameters are [-3.06369046 4.13711557] -5.434904851964452 ;\n", + "Epoch 750/1000, Cost: 3.1118\n", + " and the parameters are [-3.06366679 4.13704104] -5.4350028202092835 ;\n", + "Epoch 750/1000, Cost: 1.4135\n", + " and the parameters are [-3.06365093 4.13707342] -5.4350141177942985 ;\n", + "Epoch 750/1000, Cost: 3.3470\n", + " and the parameters are [-3.06366393 4.1371435 ] -5.4349853288736165 ;\n", + "Epoch 750/1000, Cost: 2.9436\n", + " and the parameters are [-3.06358173 4.13719746] -5.4350063682074925 ;\n", + "Epoch 750/1000, Cost: 3.2658\n", + " and the parameters are [-3.06345701 4.13737901] -5.434955001811045 ;\n", + "Epoch 750/1000, Cost: 3.0339\n", + " and the parameters are [-3.06351693 4.13735506] -5.434957182641063 ;\n", + "Epoch 750/1000, Cost: 2.4139\n", + " and the parameters are [-3.06354668 4.13739244] -5.434947292319463 ;\n", + "Epoch 750/1000, Cost: 3.1210\n", + " and the parameters are [-3.06354211 4.13741582] -5.4349348654061265 ;\n", + "Epoch 750/1000, Cost: 2.4497\n", + " and the parameters are [-3.06354705 4.13752531] -5.434869529855751 ;\n", + "Epoch 750/1000, Cost: 3.6183\n", + " and the parameters are [-3.06359981 4.13744377] -5.434913918262851 ;\n", + "Epoch 750/1000, Cost: 1.4307\n", + " and the parameters are [-3.06359851 4.13753278] -5.434876627615525 ;\n", + "Epoch 750/1000, Cost: 3.6777\n", + " and the parameters are [-3.06362268 4.13754676] -5.434866285243071 ;\n", + "Epoch 750/1000, Cost: 2.9904\n", + " and the parameters are [-3.06357509 4.13759822] -5.434884710825363 ;\n", + "Epoch 750/1000, Cost: 3.2152\n", + " and the parameters are [-3.06355927 4.13762166] -5.4349015467996304 ;\n", + "Epoch 750/1000, Cost: 2.3908\n", + " and the parameters are [-3.06353489 4.13772442] -5.434853483490658 ;\n", + "Epoch 750/1000, Cost: 2.6495\n", + " and the parameters are [-3.06355125 4.13773903] -5.434854892311577 ;\n", + "Epoch 750/1000, Cost: 0.9366\n", + " and the parameters are [-3.06354187 4.13777813] -5.434854737420551 ;\n", + "Epoch 750/1000, Cost: 3.7448\n", + " and the parameters are [-3.06355479 4.13785531] -5.434784705468542 ;\n", + "Epoch 750/1000, Cost: 1.9495\n", + " and the parameters are [-3.06360202 4.13789448] -5.434756253629183 ;\n", + "Epoch 750/1000, Cost: 3.9423\n", + " and the parameters are [-3.06366876 4.13784829] -5.4347711575841124 ;\n", + "Epoch 750/1000, Cost: 2.4207\n", + " and the parameters are [-3.0636809 4.13782313] -5.4348095722511705 ;\n", + "Epoch 750/1000, Cost: 4.3109\n", + " and the parameters are [-3.06363588 4.13784042] -5.4348233171442 ;\n", + "Epoch 750/1000, Cost: 4.1125\n", + " and the parameters are [-3.06372527 4.13774022] -5.4348584449566735 ;\n", + "Epoch 750/1000, Cost: 4.3949\n", + " and the parameters are [-3.06370501 4.13775934] -5.434866809379023 ;\n", + "Epoch 750/1000, Cost: 1.7861\n", + " and the parameters are [-3.06368224 4.13777307] -5.434900885654822 ;\n", + "Epoch 750/1000, Cost: 1.4519\n", + " and the parameters are [-3.06364728 4.13781493] -5.434914233995502 ;\n", + "Epoch 750/1000, Cost: 6.5259\n", + " and the parameters are [-3.06360699 4.1379051 ] -5.434856077188973 ;\n", + "Epoch 750/1000, Cost: 3.5271\n", + " and the parameters are [-3.06364264 4.13780161] -5.434926011068269 ;\n", + "Epoch 750/1000, Cost: 1.7487\n", + " and the parameters are [-3.0636581 4.1378051] -5.434940225534582 ;\n", + "Epoch 750/1000, Cost: 4.9463\n", + " and the parameters are [-3.06356131 4.13776483] -5.435041311277592 ;\n", + "Epoch 750/1000, Cost: 3.3342\n", + " and the parameters are [-3.06366539 4.13777959] -5.43498364969737 ;\n", + "Epoch 750/1000, Cost: 2.1462\n", + " and the parameters are [-3.06371115 4.13782261] -5.434951345887311 ;\n", + "Epoch 750/1000, Cost: 4.1110\n", + " and the parameters are [-3.06368251 4.13774355] -5.435049247559444 ;\n", + "Epoch 750/1000, Cost: 4.3825\n", + " and the parameters are [-3.06372396 4.1378658 ] -5.434946526946592 ;\n", + "Epoch 750/1000, Cost: 1.8010\n", + " and the parameters are [-3.06370828 4.13796079] -5.434911038099297 ;\n", + "Epoch 750/1000, Cost: 4.4807\n", + " and the parameters are [-3.0637775 4.13790725] -5.43493900370106 ;\n", + "Epoch 750/1000, Cost: 1.3618\n", + " and the parameters are [-3.06377333 4.13797606] -5.43491851788654 ;\n", + "Epoch 750/1000, Cost: 1.2055\n", + " and the parameters are [-3.06372336 4.13798693] -5.434958808601523 ;\n", + "Epoch 750/1000, Cost: 4.7413\n", + " and the parameters are [-3.06371506 4.13792136] -5.435007297093329 ;\n", + "Epoch 750/1000, Cost: 4.9726\n", + " and the parameters are [-3.06370699 4.13799349] -5.434956672776749 ;\n", + "Epoch 750/1000, Cost: 2.2493\n", + " and the parameters are [-3.06376851 4.13797882] -5.434962274270573 ;\n", + "Epoch 750/1000, Cost: 2.1907\n", + " and the parameters are [-3.06376774 4.13797741] -5.434986539985064 ;\n", + "Epoch 750/1000, Cost: 2.4093\n", + " and the parameters are [-3.0637357 4.13793172] -5.4350606703593725 ;\n", + "Epoch 750/1000, Cost: 1.9760\n", + " and the parameters are [-3.0637575 4.13798473] -5.435039777220996 ;\n", + "Epoch 750/1000, Cost: 2.0587\n", + " and the parameters are [-3.06376383 4.13797241] -5.435064861870673 ;\n", + "Epoch 750/1000, Cost: 1.6290\n", + " and the parameters are [-3.06378439 4.13796627] -5.4350770168263685 ;\n", + "Epoch 750/1000, Cost: 3.9844\n", + " and the parameters are [-3.06375074 4.13804558] -5.435053790514784 ;\n", + "Epoch 750/1000, Cost: 4.1820\n", + " and the parameters are [-3.06383067 4.1379001 ] -5.435116734502483 ;\n", + "Epoch 750/1000, Cost: 2.2277\n", + " and the parameters are [-3.06386071 4.13796729] -5.435071761948122 ;\n", + "Epoch 750/1000, Cost: 1.8346\n", + " and the parameters are [-3.06380654 4.13797352] -5.435111079691151 ;\n", + "Epoch 750/1000, Cost: 1.2651\n", + " and the parameters are [-3.06380729 4.13798822] -5.435123953416648 ;\n", + "Epoch 750/1000, Cost: 2.4216\n", + " and the parameters are [-3.06383915 4.13791978] -5.435188078267778 ;\n", + "Epoch 750/1000, Cost: 4.6007\n", + " and the parameters are [-3.06390213 4.13787595] -5.43518118991925 ;\n", + "Epoch 750/1000, Cost: 4.8352\n", + " and the parameters are [-3.06389494 4.13774552] -5.435294571146754 ;\n", + "Epoch 750/1000, Cost: 0.7526\n", + " and the parameters are [-3.06390335 4.1377801 ] -5.4352833237805145 ;\n", + "Epoch 750/1000, Cost: 2.4260\n", + " and the parameters are [-3.06389003 4.13773399] -5.435358680559835 ;\n", + "Epoch 750/1000, Cost: 1.0425\n", + " and the parameters are [-3.06387889 4.13776408] -5.435366593670492 ;\n", + "Epoch 750/1000, Cost: 4.0279\n", + " and the parameters are [-3.06387007 4.13771169] -5.435425946704694 ;\n", + "Epoch 750/1000, Cost: 3.3468\n", + " and the parameters are [-3.06383883 4.13775315] -5.43542491346399 ;\n", + "Epoch 750/1000, Cost: 2.0652\n", + " and the parameters are [-3.06386695 4.13770673] -5.435463989740706 ;\n", + "Epoch 750/1000, Cost: 1.9541\n", + " and the parameters are [-3.06390598 4.13765879] -5.4354972592406305 ;\n", + "Epoch 750/1000, Cost: 5.3820\n", + " and the parameters are [-3.06390121 4.13770364] -5.4354655529426195 ;\n", + "Epoch 750/1000, Cost: 2.8337\n", + " and the parameters are [-3.0639797 4.13769814] -5.435447077862419 ;\n", + "Epoch 750/1000, Cost: 3.6872\n", + " and the parameters are [-3.06396361 4.13765681] -5.435502621167415 ;\n", + "Epoch 750/1000, Cost: 1.4550\n", + " and the parameters are [-3.06396598 4.13766066] -5.435519305408487 ;\n", + "Epoch 750/1000, Cost: 2.0656\n", + " and the parameters are [-3.06397385 4.13769891] -5.435515646898143 ;\n", + "Epoch 750/1000, Cost: 5.1094\n", + " and the parameters are [-3.06400591 4.13767524] -5.435518167132449 ;\n", + "Epoch 750/1000, Cost: 2.3547\n", + " and the parameters are [-3.06404408 4.13770799] -5.4355053156606425 ;\n", + "Epoch 750/1000, Cost: 1.6635\n", + " and the parameters are [-3.064082 4.13772614] -5.435498895619484 ;\n", + "Epoch 750/1000, Cost: 1.1832\n", + " and the parameters are [-3.06405809 4.13779456] -5.435485654745945 ;\n", + "Epoch 750/1000, Cost: 1.3992\n", + " and the parameters are [-3.06405331 4.13786952] -5.435451036754384 ;\n", + "Epoch 750/1000, Cost: 3.1221\n", + " and the parameters are [-3.06401782 4.13786914] -5.435478662269754 ;\n", + "Epoch 750/1000, Cost: 3.5704\n", + " and the parameters are [-3.06405625 4.13798015] -5.435401466802803 ;\n", + "Epoch 750/1000, Cost: 3.4639\n", + " and the parameters are [-3.064118 4.13781421] -5.435496776590706 ;\n", + "Epoch 750/1000, Cost: 2.7160\n", + " and the parameters are [-3.06407297 4.13788262] -5.435500911014771 ;\n", + "Epoch 750/1000, Cost: 3.3488\n", + " and the parameters are [-3.06404979 4.13802093] -5.435430767205708 ;\n", + "Epoch 750/1000, Cost: 3.2041\n", + " and the parameters are [-3.06412364 4.13790426] -5.435503008221571 ;\n", + "Epoch 750/1000, Cost: 3.3363\n", + " and the parameters are [-3.06412469 4.13801301] -5.435429869659155 ;\n", + "Epoch 750/1000, Cost: 2.1477\n", + " and the parameters are [-3.06417904 4.13797949] -5.435449929850408 ;\n", + "Epoch 750/1000, Cost: 2.5316\n", + " and the parameters are [-3.06422965 4.13792148] -5.435502533343289 ;\n", + "Epoch 750/1000, Cost: 6.4482\n", + " and the parameters are [-3.06418245 4.13792388] -5.43552338540854 ;\n", + "Epoch 750/1000, Cost: 1.8914\n", + " and the parameters are [-3.06419186 4.13794064] -5.435534287859128 ;\n", + "Epoch 750/1000, Cost: 4.7379\n", + " and the parameters are [-3.06431515 4.13773464] -5.435630632144026 ;\n", + "Epoch 750/1000, Cost: 2.2298\n", + " and the parameters are [-3.06435277 4.1376513 ] -5.435704993703906 ;\n", + "Epoch 750/1000, Cost: 0.8514\n", + " and the parameters are [-3.06436143 4.13764951] -5.435724066255408 ;\n", + "Epoch 750/1000, Cost: 1.4696\n", + " and the parameters are [-3.0644037 4.13765121] -5.4357330348654855 ;\n", + "Epoch 750/1000, Cost: 4.7299\n", + " and the parameters are [-3.06445078 4.13770188] -5.43569740890267 ;\n", + "Epoch 750/1000, Cost: 2.7545\n", + " and the parameters are [-3.06443325 4.13769446] -5.435733552264736 ;\n", + "Epoch 750/1000, Cost: 2.1872\n", + " and the parameters are [-3.06443434 4.13776741] -5.435692687415158 ;\n", + "Epoch 750/1000, Cost: 1.2736\n", + " and the parameters are [-3.06442171 4.13777293] -5.435721801594834 ;\n", + "Epoch 750/1000, Cost: 4.9387\n", + " and the parameters are [-3.06448353 4.13758285] -5.435833468109899 ;\n", + "Epoch 750/1000, Cost: 2.4089\n", + " and the parameters are [-3.06444899 4.13762733] -5.435842903714761 ;\n", + "Epoch 750/1000, Cost: 4.5440\n", + " and the parameters are [-3.06448166 4.13754709] -5.435907290309014 ;\n", + "Epoch 750/1000, Cost: 2.9071\n", + " and the parameters are [-3.06446996 4.13764884] -5.435845221377712 ;\n", + "Epoch 750/1000, Cost: 2.5002\n", + " and the parameters are [-3.06448531 4.13767563] -5.435842086705397 ;\n", + "Epoch 750/1000, Cost: 1.7307\n", + " and the parameters are [-3.06450592 4.13771657] -5.43581653838827 ;\n", + "Epoch 750/1000, Cost: 1.6930\n", + " and the parameters are [-3.0645048 4.13767875] -5.435866314459999 ;\n", + "Epoch 750/1000, Cost: 1.6216\n", + " and the parameters are [-3.06450756 4.13773914] -5.435839191833155 ;\n", + "Epoch 750/1000, Cost: 3.1164\n", + " and the parameters are [-3.06457957 4.13775633] -5.43580240487331 ;\n", + "Epoch 750/1000, Cost: 4.1818\n", + " and the parameters are [-3.06453897 4.13765133] -5.435910384093346 ;\n", + "Epoch 750/1000, Cost: 4.8402\n", + " and the parameters are [-3.06461642 4.13760517] -5.43592353838272 ;\n", + "Epoch 750/1000, Cost: 7.8967\n", + " and the parameters are [-3.06472195 4.13758028] -5.435851786747367 ;\n", + "Epoch 750/1000, Cost: 2.9038\n", + " and the parameters are [-3.06462518 4.13758068] -5.435924043568785 ;\n", + "Epoch 750/1000, Cost: 2.5647\n", + " and the parameters are [-3.06463783 4.13758131] -5.435946256446472 ;\n", + "Epoch 750/1000, Cost: 4.8900\n", + " and the parameters are [-3.06455286 4.13749756] -5.436062497593061 ;\n", + "Epoch 750/1000, Cost: 4.3651\n", + " and the parameters are [-3.06447248 4.13750735] -5.436090430663821 ;\n", + "Epoch 750/1000, Cost: 1.6569\n", + " and the parameters are [-3.06443321 4.1375799 ] -5.436088724113075 ;\n", + "Epoch 750/1000, Cost: 5.4487\n", + " and the parameters are [-3.06437852 4.13761174] -5.436115499372643 ;\n", + "Epoch 750/1000, Cost: 3.7339\n", + " and the parameters are [-3.06436057 4.13770361] -5.43606922442019 ;\n", + "Epoch 750/1000, Cost: 10.9997\n", + " and the parameters are [-3.06437549 4.13749299] -5.4361818108649125 ;\n", + "Epoch 750/1000, Cost: 3.3059\n", + " and the parameters are [-3.06434895 4.13746919] -5.436237883599902 ;\n", + "Epoch 750/1000, Cost: 5.7760\n", + " and the parameters are [-3.06437542 4.13743799] -5.436248888977449 ;\n", + "Epoch 750/1000, Cost: 1.6276\n", + " and the parameters are [-3.06435952 4.13745347] -5.436267260809986 ;\n", + "Epoch 750/1000, Cost: 5.9500\n", + " and the parameters are [-3.06433415 4.13759199] -5.436172097520666 ;\n", + "Epoch 750/1000, Cost: 0.3240\n", + " and the parameters are [-3.0643348 4.13760106] -5.436175288667832 ;\n", + "Epoch 750/1000, Cost: 2.7702\n", + " and the parameters are [-3.06429404 4.13770608] -5.436144354942277 ;\n", + "Epoch 750/1000, Cost: 2.7733\n", + " and the parameters are [-3.06426823 4.13775043] -5.436153797022292 ;\n", + "Epoch 750/1000, Cost: 2.1002\n", + " and the parameters are [-3.0642845 4.13777801] -5.436144607155779 ;\n", + "Epoch 750/1000, Cost: 2.8697\n", + " and the parameters are [-3.06433041 4.13783413] -5.436097902992614 ;\n", + "Epoch 750/1000, Cost: 4.6022\n", + " and the parameters are [-3.06439027 4.13775309] -5.436128746115857 ;\n", + "Epoch 750/1000, Cost: 8.7908\n", + " and the parameters are [-3.06452436 4.13751594] -5.436212823971531 ;\n", + "Epoch 750/1000, Cost: 1.1032\n", + " and the parameters are [-3.06452377 4.13755426] -5.436208267671202 ;\n", + "Epoch 750/1000, Cost: 4.5171\n", + " and the parameters are [-3.06455781 4.13766073] -5.436127582001504 ;\n", + "Epoch 750/1000, Cost: 2.8777\n", + " and the parameters are [-3.06451845 4.1377674 ] -5.43608479530444 ;\n", + "Epoch 750/1000, Cost: 2.0752\n", + " and the parameters are [-3.0645308 4.13772027] -5.436122801778289 ;\n", + "Epoch 750/1000, Cost: 1.9271\n", + " and the parameters are [-3.0645146 4.13774647] -5.436137660562276 ;\n", + "Epoch 750/1000, Cost: 3.3617\n", + " and the parameters are [-3.06452416 4.13773019] -5.4361640867290095 ;\n", + "Epoch 750/1000, Cost: 3.7046\n", + " and the parameters are [-3.06461076 4.13759744] -5.4362362588684086 ;\n", + "Epoch 750/1000, Cost: 3.2366\n", + " and the parameters are [-3.06458366 4.13769835] -5.436209172467302 ;\n", + "Epoch 750/1000, Cost: 1.7179\n", + " and the parameters are [-3.0646274 4.13762951] -5.4362564719118645 ;\n", + "Epoch 750/1000, Cost: 6.2677\n", + " and the parameters are [-3.06458146 4.13778489] -5.4361566565729795 ;\n", + "Epoch 750/1000, Cost: 2.0115\n", + " and the parameters are [-3.06462778 4.13778135] -5.436155994689342 ;\n", + "Epoch 750/1000, Cost: 2.8192\n", + " and the parameters are [-3.06458775 4.13782226] -5.436170144988883 ;\n", + "Epoch 750/1000, Cost: 4.1948\n", + " and the parameters are [-3.06453584 4.13795109] -5.436103302411635 ;\n", + "Epoch 750/1000, Cost: 3.6669\n", + " and the parameters are [-3.06452961 4.13801826] -5.436071238198027 ;\n", + "Epoch 750/1000, Cost: 3.3223\n", + " and the parameters are [-3.06455579 4.13789975] -5.436165374834874 ;\n", + "Epoch 750/1000, Cost: 2.1775\n", + " and the parameters are [-3.06458894 4.13791715] -5.436168575586322 ;\n", + "Epoch 750/1000, Cost: 1.9337\n", + " and the parameters are [-3.06463613 4.13795636] -5.436131068397823 ;\n", + "Epoch 750/1000, Cost: 2.9994\n", + " and the parameters are [-3.06468673 4.13790462] -5.4361643859668645 ;\n", + "Epoch 750/1000, Cost: 2.3908\n", + " and the parameters are [-3.06473424 4.1378427 ] -5.436200119544136 ;\n", + "Epoch 760/1000, Cost: 1.4839\n", + " and the parameters are [-3.07431721 4.1498173 ] -5.453293872443011 ;\n", + "Epoch 760/1000, Cost: 2.8423\n", + " and the parameters are [-3.07433115 4.14974733] -5.453365780323662 ;\n", + "Epoch 760/1000, Cost: 2.6508\n", + " and the parameters are [-3.07435649 4.14968987] -5.453415265820389 ;\n", + "Epoch 760/1000, Cost: 2.2457\n", + " and the parameters are [-3.07431387 4.14976472] -5.45341109391721 ;\n", + "Epoch 760/1000, Cost: 7.4140\n", + " and the parameters are [-3.07435901 4.14972317] -5.453384763134413 ;\n", + "Epoch 760/1000, Cost: 5.5786\n", + " and the parameters are [-3.07430034 4.14975603] -5.453371980696442 ;\n", + "Epoch 760/1000, Cost: 2.9722\n", + " and the parameters are [-3.07439039 4.14977554] -5.453335100094158 ;\n", + "Epoch 760/1000, Cost: 1.9706\n", + " and the parameters are [-3.07441055 4.14975663] -5.453365601102828 ;\n", + "Epoch 760/1000, Cost: 2.2447\n", + " and the parameters are [-3.07438389 4.14977638] -5.453403016256292 ;\n", + "Epoch 760/1000, Cost: 2.3104\n", + " and the parameters are [-3.07435366 4.14979038] -5.453436096238636 ;\n", + "Epoch 760/1000, Cost: 1.1358\n", + " and the parameters are [-3.07437241 4.14979987] -5.453439220961902 ;\n", + "Epoch 760/1000, Cost: 3.3344\n", + " and the parameters are [-3.07440446 4.14974693] -5.453469552823051 ;\n", + "Epoch 760/1000, Cost: 2.7740\n", + " and the parameters are [-3.07435624 4.14983488] -5.453448071503283 ;\n", + "Epoch 760/1000, Cost: 0.6209\n", + " and the parameters are [-3.07436288 4.14986533] -5.453437503620333 ;\n", + "Epoch 760/1000, Cost: 2.7415\n", + " and the parameters are [-3.07432855 4.1500221 ] -5.453356073525654 ;\n", + "Epoch 760/1000, Cost: 2.4578\n", + " and the parameters are [-3.07438152 4.15004308] -5.453330809363811 ;\n", + "Epoch 760/1000, Cost: 7.5248\n", + " and the parameters are [-3.07443827 4.14994893] -5.453341112648308 ;\n", + "Epoch 760/1000, Cost: 1.6265\n", + " and the parameters are [-3.07442364 4.14995728] -5.453361976034286 ;\n", + "Epoch 760/1000, Cost: 1.5709\n", + " and the parameters are [-3.07442559 4.15002796] -5.453335772544782 ;\n", + "Epoch 760/1000, Cost: 2.0347\n", + " and the parameters are [-3.07439832 4.15013731] -5.453295053633602 ;\n", + "Epoch 760/1000, Cost: 3.4941\n", + " and the parameters are [-3.07440849 4.15013213] -5.453329513070707 ;\n", + "Epoch 760/1000, Cost: 5.7671\n", + " and the parameters are [-3.07440122 4.15002694] -5.4534278358516435 ;\n", + "Epoch 760/1000, Cost: 2.1330\n", + " and the parameters are [-3.07443714 4.14998081] -5.453462483722094 ;\n", + "Epoch 760/1000, Cost: 1.3241\n", + " and the parameters are [-3.07442897 4.15001273] -5.453451584526447 ;\n", + "Epoch 760/1000, Cost: 2.3955\n", + " and the parameters are [-3.07445879 4.15003258] -5.453454695730496 ;\n", + "Epoch 760/1000, Cost: 2.1286\n", + " and the parameters are [-3.07437395 4.15004665] -5.453511284230436 ;\n", + "Epoch 760/1000, Cost: 2.2016\n", + " and the parameters are [-3.07436659 4.1500514 ] -5.453538948412145 ;\n", + "Epoch 760/1000, Cost: 1.5476\n", + " and the parameters are [-3.07432797 4.15008003] -5.453559038025557 ;\n", + "Epoch 760/1000, Cost: 4.7306\n", + " and the parameters are [-3.07441723 4.14998972] -5.453589887485608 ;\n", + "Epoch 760/1000, Cost: 5.1654\n", + " and the parameters are [-3.07434931 4.14991456] -5.453681127226024 ;\n", + "Epoch 760/1000, Cost: 3.3999\n", + " and the parameters are [-3.07438956 4.14984122] -5.453742393995582 ;\n", + "Epoch 760/1000, Cost: 4.7422\n", + " and the parameters are [-3.07437198 4.14980245] -5.453783065949477 ;\n", + "Epoch 760/1000, Cost: 0.8688\n", + " and the parameters are [-3.07435941 4.14987647] -5.453752206759663 ;\n", + "Epoch 760/1000, Cost: 2.2711\n", + " and the parameters are [-3.07438096 4.14989034] -5.4537625264064316 ;\n", + "Epoch 760/1000, Cost: 3.0184\n", + " and the parameters are [-3.07433926 4.14990929] -5.453798127851307 ;\n", + "Epoch 760/1000, Cost: 1.6552\n", + " and the parameters are [-3.07433449 4.14992583] -5.45381559790344 ;\n", + "Epoch 760/1000, Cost: 1.1752\n", + " and the parameters are [-3.07430582 4.14998602] -5.453812356540331 ;\n", + "Epoch 760/1000, Cost: 1.8335\n", + " and the parameters are [-3.07430612 4.1499769 ] -5.453839878545118 ;\n", + "Epoch 760/1000, Cost: 1.9044\n", + " and the parameters are [-3.07423614 4.15001354] -5.453875705185921 ;\n", + "Epoch 760/1000, Cost: 4.7861\n", + " and the parameters are [-3.07424608 4.15007065] -5.453845768000189 ;\n", + "Epoch 760/1000, Cost: 1.6494\n", + " and the parameters are [-3.07424128 4.15008907] -5.453867540681422 ;\n", + "Epoch 760/1000, Cost: 3.6436\n", + " and the parameters are [-3.07425539 4.15017267] -5.45381444017056 ;\n", + "Epoch 760/1000, Cost: 3.1876\n", + " and the parameters are [-3.07423768 4.15021284] -5.453800827534701 ;\n", + "Epoch 760/1000, Cost: 2.8114\n", + " and the parameters are [-3.07427183 4.15030174] -5.453744173628928 ;\n", + "Epoch 760/1000, Cost: 3.9922\n", + " and the parameters are [-3.07429419 4.15024762] -5.453789410488208 ;\n", + "Epoch 760/1000, Cost: 2.5379\n", + " and the parameters are [-3.07437622 4.15016599] -5.453819814589481 ;\n", + "Epoch 760/1000, Cost: 3.2055\n", + " and the parameters are [-3.07443793 4.15020483] -5.453774855254961 ;\n", + "Epoch 760/1000, Cost: 5.4120\n", + " and the parameters are [-3.07444878 4.15029959] -5.453701685737893 ;\n", + "Epoch 760/1000, Cost: 2.2856\n", + " and the parameters are [-3.07449018 4.15023907] -5.453738842733964 ;\n", + "Epoch 760/1000, Cost: 1.2390\n", + " and the parameters are [-3.07447327 4.15030476] -5.453721896906739 ;\n", + "Epoch 760/1000, Cost: 0.8959\n", + " and the parameters are [-3.0744785 4.15029979] -5.453742005252084 ;\n", + "Epoch 760/1000, Cost: 5.5443\n", + " and the parameters are [-3.07442516 4.15036987] -5.453718517828917 ;\n", + "Epoch 760/1000, Cost: 6.1552\n", + " and the parameters are [-3.07453057 4.15016182] -5.453816657191726 ;\n", + "Epoch 760/1000, Cost: 5.4231\n", + " and the parameters are [-3.07454016 4.15020334] -5.453781676856751 ;\n", + "Epoch 760/1000, Cost: 2.2463\n", + " and the parameters are [-3.07455682 4.15013101] -5.453843373520065 ;\n", + "Epoch 760/1000, Cost: 3.5291\n", + " and the parameters are [-3.07461095 4.1500456 ] -5.453889624374606 ;\n", + "Epoch 760/1000, Cost: 4.4841\n", + " and the parameters are [-3.07467875 4.15002572] -5.453892787904062 ;\n", + "Epoch 760/1000, Cost: 5.9507\n", + " and the parameters are [-3.07471999 4.14986902] -5.453975276132328 ;\n", + "Epoch 760/1000, Cost: 3.2221\n", + " and the parameters are [-3.0747259 4.14982818] -5.45401798702557 ;\n", + "Epoch 760/1000, Cost: 4.2102\n", + " and the parameters are [-3.0748031 4.14987656] -5.453936980781752 ;\n", + "Epoch 760/1000, Cost: 2.6008\n", + " and the parameters are [-3.0748496 4.14991967] -5.453893034366721 ;\n", + "Epoch 760/1000, Cost: 1.1007\n", + " and the parameters are [-3.07485507 4.14990828] -5.453923261539916 ;\n", + "Epoch 760/1000, Cost: 1.0133\n", + " and the parameters are [-3.07482598 4.1499597 ] -5.453927471226091 ;\n", + "Epoch 760/1000, Cost: 2.4238\n", + " and the parameters are [-3.0747667 4.15003874] -5.453928410153643 ;\n", + "Epoch 760/1000, Cost: 1.6069\n", + " and the parameters are [-3.07482631 4.14998264] -5.45395615218722 ;\n", + "Epoch 760/1000, Cost: 2.6941\n", + " and the parameters are [-3.07476778 4.14999753] -5.453996431637567 ;\n", + "Epoch 760/1000, Cost: 2.4292\n", + " and the parameters are [-3.07474551 4.14993824] -5.454078430488392 ;\n", + "Epoch 760/1000, Cost: 0.6176\n", + " and the parameters are [-3.0747621 4.14992306] -5.454098685315453 ;\n", + "Epoch 760/1000, Cost: 3.4752\n", + " and the parameters are [-3.0747918 4.14989165] -5.454118407462303 ;\n", + "Epoch 760/1000, Cost: 2.3306\n", + " and the parameters are [-3.07476769 4.14987432] -5.454161881807952 ;\n", + "Epoch 760/1000, Cost: 1.6928\n", + " and the parameters are [-3.07479728 4.14988964] -5.454155975647235 ;\n", + "Epoch 760/1000, Cost: 1.2102\n", + " and the parameters are [-3.07480576 4.1498861 ] -5.454181520442033 ;\n", + "Epoch 760/1000, Cost: 2.3978\n", + " and the parameters are [-3.07485445 4.14988696] -5.454186364597138 ;\n", + "Epoch 760/1000, Cost: 2.4449\n", + " and the parameters are [-3.07485801 4.14981703] -5.454255418203976 ;\n", + "Epoch 760/1000, Cost: 3.4687\n", + " and the parameters are [-3.07477753 4.14980655] -5.454307238606285 ;\n", + "Epoch 760/1000, Cost: 4.3453\n", + " and the parameters are [-3.07484436 4.14979596] -5.454292815429359 ;\n", + "Epoch 760/1000, Cost: 1.6978\n", + " and the parameters are [-3.07486346 4.14987374] -5.454249049181173 ;\n", + "Epoch 760/1000, Cost: 7.8050\n", + " and the parameters are [-3.07476302 4.150001 ] -5.454204518970849 ;\n", + "Epoch 760/1000, Cost: 8.0568\n", + " and the parameters are [-3.07487273 4.1499074 ] -5.454201569922733 ;\n", + "Epoch 760/1000, Cost: 3.6687\n", + " and the parameters are [-3.07484325 4.15005066] -5.454114493444156 ;\n", + "Epoch 760/1000, Cost: 4.1897\n", + " and the parameters are [-3.0748701 4.15004028] -5.454122572097437 ;\n", + "Epoch 760/1000, Cost: 3.9214\n", + " and the parameters are [-3.07486449 4.14999664] -5.454164666075622 ;\n", + "Epoch 760/1000, Cost: 2.9643\n", + " and the parameters are [-3.07482611 4.15005844] -5.454165560897836 ;\n", + "Epoch 760/1000, Cost: 3.3817\n", + " and the parameters are [-3.07492118 4.14996008] -5.454216746736879 ;\n", + "Epoch 760/1000, Cost: 2.7572\n", + " and the parameters are [-3.07491858 4.1500537 ] -5.454183320999613 ;\n", + "Epoch 760/1000, Cost: 2.6146\n", + " and the parameters are [-3.07498505 4.15005578] -5.454173167297928 ;\n", + "Epoch 760/1000, Cost: 4.6115\n", + " and the parameters are [-3.07486785 4.15021291] -5.454131213098734 ;\n", + "Epoch 760/1000, Cost: 2.9167\n", + " and the parameters are [-3.07489707 4.15019427] -5.454158137940992 ;\n", + "Epoch 760/1000, Cost: 4.9445\n", + " and the parameters are [-3.07484712 4.15020911] -5.4541816646594645 ;\n", + "Epoch 760/1000, Cost: 2.7860\n", + " and the parameters are [-3.07481077 4.15027637] -5.454178887107093 ;\n", + "Epoch 760/1000, Cost: 3.5640\n", + " and the parameters are [-3.07482387 4.15021894] -5.454233423346057 ;\n", + "Epoch 760/1000, Cost: 3.2022\n", + " and the parameters are [-3.07480218 4.15028239] -5.454226460699695 ;\n", + "Epoch 760/1000, Cost: 1.7629\n", + " and the parameters are [-3.07479853 4.15032465] -5.454221956775632 ;\n", + "Epoch 760/1000, Cost: 3.1439\n", + " and the parameters are [-3.07476607 4.15038616] -5.45423729688084 ;\n", + "Epoch 760/1000, Cost: 2.6609\n", + " and the parameters are [-3.07470962 4.15043732] -5.4542511589929985 ;\n", + "Epoch 760/1000, Cost: 1.6786\n", + " and the parameters are [-3.07470652 4.15049846] -5.4542321705559775 ;\n", + "Epoch 760/1000, Cost: 2.3669\n", + " and the parameters are [-3.07471797 4.15048921] -5.454254716634888 ;\n", + "Epoch 760/1000, Cost: 0.8345\n", + " and the parameters are [-3.07471906 4.15052969] -5.4542423138834 ;\n", + "Epoch 760/1000, Cost: 4.8780\n", + " and the parameters are [-3.07478433 4.1505301 ] -5.454218723199477 ;\n", + "Epoch 760/1000, Cost: 4.0269\n", + " and the parameters are [-3.0747465 4.15052106] -5.454265920148644 ;\n", + "Epoch 760/1000, Cost: 1.7228\n", + " and the parameters are [-3.07474727 4.1505917 ] -5.454235817793642 ;\n", + "Epoch 760/1000, Cost: 1.7200\n", + " and the parameters are [-3.07477012 4.1505663 ] -5.454268361484686 ;\n", + "Epoch 760/1000, Cost: 2.9014\n", + " and the parameters are [-3.07478448 4.15068748] -5.454192934158966 ;\n", + "Epoch 760/1000, Cost: 3.7869\n", + " and the parameters are [-3.07479783 4.15080486] -5.454121650641609 ;\n", + "Epoch 760/1000, Cost: 0.3599\n", + " and the parameters are [-3.07480636 4.15082375] -5.454112867739437 ;\n", + "Epoch 760/1000, Cost: 3.9323\n", + " and the parameters are [-3.07486409 4.15073956] -5.4541417392391685 ;\n", + "Epoch 760/1000, Cost: 2.0324\n", + " and the parameters are [-3.07489128 4.15069374] -5.4541800194382235 ;\n", + "Epoch 760/1000, Cost: 1.9458\n", + " and the parameters are [-3.07486417 4.15073304] -5.454186970358151 ;\n", + "Epoch 760/1000, Cost: 1.7361\n", + " and the parameters are [-3.07483671 4.15085126] -5.454135761099784 ;\n", + "Epoch 760/1000, Cost: 1.8919\n", + " and the parameters are [-3.07484794 4.15092287] -5.454107226985578 ;\n", + "Epoch 760/1000, Cost: 2.3189\n", + " and the parameters are [-3.07484128 4.15090341] -5.454153860731187 ;\n", + "Epoch 760/1000, Cost: 2.3565\n", + " and the parameters are [-3.074868 4.15094708] -5.45413039483922 ;\n", + "Epoch 760/1000, Cost: 3.2456\n", + " and the parameters are [-3.07490204 4.15086299] -5.454189943460844 ;\n", + "Epoch 760/1000, Cost: 2.9063\n", + " and the parameters are [-3.07494238 4.15095147] -5.4541231984679595 ;\n", + "Epoch 760/1000, Cost: 3.6135\n", + " and the parameters are [-3.0748914 4.15090259] -5.45419722594254 ;\n", + "Epoch 760/1000, Cost: 0.7466\n", + " and the parameters are [-3.07490943 4.15087592] -5.454223820931653 ;\n", + "Epoch 760/1000, Cost: 4.4119\n", + " and the parameters are [-3.07490561 4.15091526] -5.454209216054214 ;\n", + "Epoch 760/1000, Cost: 6.9449\n", + " and the parameters are [-3.07492895 4.15083774] -5.454248251487093 ;\n", + "Epoch 760/1000, Cost: 1.8288\n", + " and the parameters are [-3.07495868 4.1508263 ] -5.454262881029755 ;\n", + "Epoch 760/1000, Cost: 1.8594\n", + " and the parameters are [-3.07491885 4.15083893] -5.454294992667743 ;\n", + "Epoch 760/1000, Cost: 4.9321\n", + " and the parameters are [-3.07493085 4.15070457] -5.45439373295469 ;\n", + "Epoch 760/1000, Cost: 1.7142\n", + " and the parameters are [-3.07492452 4.15072424] -5.454412067497246 ;\n", + "Epoch 760/1000, Cost: 5.0768\n", + " and the parameters are [-3.07497604 4.15076978] -5.454378128935567 ;\n", + "Epoch 760/1000, Cost: 4.5299\n", + " and the parameters are [-3.07492835 4.15094334] -5.454310431049754 ;\n", + "Epoch 760/1000, Cost: 2.0600\n", + " and the parameters are [-3.07494262 4.15096778] -5.4543043782747045 ;\n", + "Epoch 760/1000, Cost: 2.0819\n", + " and the parameters are [-3.07493093 4.1510082 ] -5.454291251970902 ;\n", + "Epoch 760/1000, Cost: 2.2553\n", + " and the parameters are [-3.07499151 4.15096352] -5.454318647881842 ;\n", + "Epoch 760/1000, Cost: 4.7798\n", + " and the parameters are [-3.07499409 4.15102154] -5.454288823637722 ;\n", + "Epoch 760/1000, Cost: 1.0174\n", + " and the parameters are [-3.0750224 4.15102412] -5.454292177911272 ;\n", + "Epoch 760/1000, Cost: 3.6441\n", + " and the parameters are [-3.07505931 4.15095248] -5.454351349778319 ;\n", + "Epoch 760/1000, Cost: 2.9999\n", + " and the parameters are [-3.07507866 4.15095859] -5.454339802045458 ;\n", + "Epoch 760/1000, Cost: 0.8576\n", + " and the parameters are [-3.0751007 4.15094268] -5.454362289799371 ;\n", + "Epoch 760/1000, Cost: 1.5200\n", + " and the parameters are [-3.07510885 4.15094802] -5.454378144156334 ;\n", + "Epoch 760/1000, Cost: 5.7612\n", + " and the parameters are [-3.07514867 4.15098745] -5.454340715602995 ;\n", + "Epoch 760/1000, Cost: 6.2773\n", + " and the parameters are [-3.07519639 4.15086921] -5.454391698119053 ;\n", + "Epoch 760/1000, Cost: 2.2938\n", + " and the parameters are [-3.07518047 4.15089535] -5.454414680813171 ;\n", + "Epoch 760/1000, Cost: 4.2668\n", + " and the parameters are [-3.0750908 4.15084651] -5.454525060302875 ;\n", + "Epoch 760/1000, Cost: 3.7115\n", + " and the parameters are [-3.0751491 4.15081149] -5.454531575235464 ;\n", + "Epoch 760/1000, Cost: 1.1456\n", + " and the parameters are [-3.07514722 4.15081126] -5.454557804119773 ;\n", + "Epoch 760/1000, Cost: 2.7434\n", + " and the parameters are [-3.07514123 4.15085425] -5.454548842034885 ;\n", + "Epoch 760/1000, Cost: 1.4115\n", + " and the parameters are [-3.07513076 4.15086623] -5.454571220766112 ;\n", + "Epoch 760/1000, Cost: 3.1361\n", + " and the parameters are [-3.07508734 4.15104115] -5.454481920421849 ;\n", + "Epoch 760/1000, Cost: 1.8960\n", + " and the parameters are [-3.07503069 4.15112103] -5.454472684310438 ;\n", + "Epoch 760/1000, Cost: 6.8064\n", + " and the parameters are [-3.07510153 4.15104514] -5.454468288126912 ;\n", + "Epoch 760/1000, Cost: 3.2278\n", + " and the parameters are [-3.0750998 4.1510187] -5.454510529856684 ;\n", + "Epoch 760/1000, Cost: 2.7874\n", + " and the parameters are [-3.07506744 4.15099584] -5.4545736139524035 ;\n", + "Epoch 760/1000, Cost: 1.3868\n", + " and the parameters are [-3.07507702 4.15103575] -5.454564103810939 ;\n", + "Epoch 760/1000, Cost: 2.4485\n", + " and the parameters are [-3.07503704 4.15109526] -5.45456563244126 ;\n", + "Epoch 760/1000, Cost: 1.4631\n", + " and the parameters are [-3.07503255 4.15110729] -5.4545859266062395 ;\n", + "Epoch 760/1000, Cost: 2.9957\n", + " and the parameters are [-3.07508391 4.15109646] -5.4545962720167225 ;\n", + "Epoch 760/1000, Cost: 4.4313\n", + " and the parameters are [-3.07504361 4.15111587] -5.454604844479618 ;\n", + "Epoch 760/1000, Cost: 7.1551\n", + " and the parameters are [-3.07489114 4.15098428] -5.454776209320191 ;\n", + "Epoch 760/1000, Cost: 3.8857\n", + " and the parameters are [-3.07490061 4.15097917] -5.454786636932019 ;\n", + "Epoch 760/1000, Cost: 2.3354\n", + " and the parameters are [-3.0748674 4.15108154] -5.454752873231336 ;\n", + "Epoch 760/1000, Cost: 3.0537\n", + " and the parameters are [-3.07492482 4.15102823] -5.454780238960912 ;\n", + "Epoch 760/1000, Cost: 3.5306\n", + " and the parameters are [-3.07490238 4.15117116] -5.454709972060916 ;\n", + "Epoch 760/1000, Cost: 4.0625\n", + " and the parameters are [-3.0749265 4.15116473] -5.454723628347106 ;\n", + "Epoch 760/1000, Cost: 2.0337\n", + " and the parameters are [-3.07497327 4.15112714] -5.4547499103049 ;\n", + "Epoch 760/1000, Cost: 5.0701\n", + " and the parameters are [-3.0750277 4.15100305] -5.4548218415370275 ;\n", + "Epoch 760/1000, Cost: 4.2339\n", + " and the parameters are [-3.07498514 4.15113165] -5.454775902008697 ;\n", + "Epoch 760/1000, Cost: 3.8396\n", + " and the parameters are [-3.07498513 4.15117377] -5.4547679097806485 ;\n", + "Epoch 760/1000, Cost: 1.5327\n", + " and the parameters are [-3.07497626 4.15115815] -5.454810845657987 ;\n", + "Epoch 760/1000, Cost: 6.7188\n", + " and the parameters are [-3.07504476 4.1510273 ] -5.454856563324224 ;\n", + "Epoch 760/1000, Cost: 3.8237\n", + " and the parameters are [-3.0751126 4.15087618] -5.45494224397167 ;\n", + "Epoch 760/1000, Cost: 1.3353\n", + " and the parameters are [-3.07512091 4.1508523 ] -5.454980308212095 ;\n", + "Epoch 760/1000, Cost: 4.3639\n", + " and the parameters are [-3.07513264 4.15081975] -5.455020416927732 ;\n", + "Epoch 760/1000, Cost: 1.2264\n", + " and the parameters are [-3.0751316 4.15087116] -5.455007761736056 ;\n", + "Epoch 760/1000, Cost: 2.0078\n", + " and the parameters are [-3.07515514 4.15085786] -5.455023116957637 ;\n", + "Epoch 760/1000, Cost: 4.1649\n", + " and the parameters are [-3.07522807 4.1507753 ] -5.455073443300974 ;\n", + "Epoch 760/1000, Cost: 0.9370\n", + " and the parameters are [-3.07522066 4.15080387] -5.455078655739022 ;\n", + "Epoch 760/1000, Cost: 2.4358\n", + " and the parameters are [-3.07525561 4.15081318] -5.455073153300493 ;\n", + "Epoch 760/1000, Cost: 3.5533\n", + " and the parameters are [-3.07522856 4.15082359] -5.4550985712989615 ;\n", + "Epoch 760/1000, Cost: 7.8000\n", + " and the parameters are [-3.0752065 4.15084804] -5.45508364034975 ;\n", + "Epoch 760/1000, Cost: 2.1098\n", + " and the parameters are [-3.07520528 4.15079009] -5.455147215575391 ;\n", + "Epoch 760/1000, Cost: 2.1784\n", + " and the parameters are [-3.07515932 4.15089356] -5.455121518800559 ;\n", + "Epoch 760/1000, Cost: 4.0652\n", + " and the parameters are [-3.07520161 4.15089307] -5.455110896805096 ;\n", + "Epoch 760/1000, Cost: 1.5048\n", + " and the parameters are [-3.0752019 4.15092774] -5.455115386134715 ;\n", + "Epoch 760/1000, Cost: 2.5831\n", + " and the parameters are [-3.07529153 4.15090359] -5.455101213887068 ;\n", + "Epoch 760/1000, Cost: 2.3409\n", + " and the parameters are [-3.07531772 4.15093183] -5.455073912351059 ;\n", + "Epoch 760/1000, Cost: 3.0139\n", + " and the parameters are [-3.07527209 4.15105609] -5.455026529753798 ;\n", + "Epoch 760/1000, Cost: 7.5490\n", + " and the parameters are [-3.07535623 4.15093701] -5.455050014212602 ;\n", + "Epoch 760/1000, Cost: 4.6457\n", + " and the parameters are [-3.07541999 4.15082241] -5.455115848597583 ;\n", + "Epoch 760/1000, Cost: 1.1830\n", + " and the parameters are [-3.07543788 4.15082435] -5.455127244142756 ;\n", + "Epoch 760/1000, Cost: 1.9351\n", + " and the parameters are [-3.07546087 4.15076497] -5.45518538285042 ;\n", + "Epoch 760/1000, Cost: 1.9997\n", + " and the parameters are [-3.07551171 4.15069368] -5.455231312286523 ;\n", + "Epoch 760/1000, Cost: 5.4836\n", + " and the parameters are [-3.07560557 4.15058247] -5.4552682167308255 ;\n", + "Epoch 760/1000, Cost: 1.4165\n", + " and the parameters are [-3.07560782 4.15062984] -5.455252360257806 ;\n", + "Epoch 760/1000, Cost: 2.7424\n", + " and the parameters are [-3.07554649 4.15080767] -5.455172140239606 ;\n", + "Epoch 760/1000, Cost: 1.4941\n", + " and the parameters are [-3.0755619 4.15078968] -5.45519951445115 ;\n", + "Epoch 760/1000, Cost: 6.8965\n", + " and the parameters are [-3.07551665 4.15088793] -5.455124069638306 ;\n", + "Epoch 760/1000, Cost: 3.2074\n", + " and the parameters are [-3.0754967 4.15093819] -5.455122117241517 ;\n", + "Epoch 760/1000, Cost: 0.9835\n", + " and the parameters are [-3.0754865 4.15098706] -5.45511281054067 ;\n", + "Epoch 760/1000, Cost: 1.4957\n", + " and the parameters are [-3.07545509 4.1509922 ] -5.455144740795111 ;\n", + "Epoch 760/1000, Cost: 1.1236\n", + " and the parameters are [-3.07547199 4.15099709] -5.455153909364235 ;\n", + "Epoch 760/1000, Cost: 3.6943\n", + " and the parameters are [-3.07545841 4.15095184] -5.455213761308351 ;\n", + "Epoch 760/1000, Cost: 7.6318\n", + " and the parameters are [-3.07545111 4.15077136] -5.455341996502149 ;\n", + "Epoch 760/1000, Cost: 3.4907\n", + " and the parameters are [-3.07537629 4.15092726] -5.45527139626908 ;\n", + "Epoch 760/1000, Cost: 2.3577\n", + " and the parameters are [-3.07537532 4.15099235] -5.455244574678539 ;\n", + "Epoch 760/1000, Cost: 1.8948\n", + " and the parameters are [-3.07540051 4.15100863] -5.4552385682763225 ;\n", + "Epoch 760/1000, Cost: 4.3676\n", + " and the parameters are [-3.07537382 4.15111488] -5.455167815073412 ;\n", + "Epoch 770/1000, Cost: 1.5871\n", + " and the parameters are [-3.08483061 4.16297457] -5.472013783391507 ;\n", + "Epoch 770/1000, Cost: 3.3223\n", + " and the parameters are [-3.08483929 4.16307915] -5.471936464214596 ;\n", + "Epoch 770/1000, Cost: 4.3257\n", + " and the parameters are [-3.08488803 4.16297211] -5.472002681154264 ;\n", + "Epoch 770/1000, Cost: 2.9383\n", + " and the parameters are [-3.08481518 4.16302736] -5.472025733771538 ;\n", + "Epoch 770/1000, Cost: 2.4981\n", + " and the parameters are [-3.08484067 4.16306845] -5.471996142742115 ;\n", + "Epoch 770/1000, Cost: 3.6545\n", + " and the parameters are [-3.08479475 4.16309762] -5.472020345905607 ;\n", + "Epoch 770/1000, Cost: 3.0563\n", + " and the parameters are [-3.08484956 4.16304657] -5.472043706109903 ;\n", + "Epoch 770/1000, Cost: 2.8747\n", + " and the parameters are [-3.08488831 4.16308905] -5.472016806567282 ;\n", + "Epoch 770/1000, Cost: 2.0070\n", + " and the parameters are [-3.08488478 4.1630656 ] -5.472071308518123 ;\n", + "Epoch 770/1000, Cost: 3.1374\n", + " and the parameters are [-3.08483447 4.16310264] -5.4720984592359905 ;\n", + "Epoch 770/1000, Cost: 2.7982\n", + " and the parameters are [-3.08485632 4.16312287] -5.472089680956377 ;\n", + "Epoch 770/1000, Cost: 1.6159\n", + " and the parameters are [-3.08486426 4.16318995] -5.47206389855851 ;\n", + "Epoch 770/1000, Cost: 11.7959\n", + " and the parameters are [-3.08485824 4.16291265] -5.47223509353554 ;\n", + "Epoch 770/1000, Cost: 0.7448\n", + " and the parameters are [-3.0848595 4.1629174] -5.472249363346511 ;\n", + "Epoch 770/1000, Cost: 2.8185\n", + " and the parameters are [-3.08488969 4.16293334] -5.472257335621997 ;\n", + "Epoch 770/1000, Cost: 2.6937\n", + " and the parameters are [-3.08493033 4.16292218] -5.472262635165599 ;\n", + "Epoch 770/1000, Cost: 2.0812\n", + " and the parameters are [-3.08497793 4.16289072] -5.472288051541487 ;\n", + "Epoch 770/1000, Cost: 4.4394\n", + " and the parameters are [-3.08502408 4.16271663] -5.472398299980226 ;\n", + "Epoch 770/1000, Cost: 5.1648\n", + " and the parameters are [-3.08516754 4.16248262] -5.472506251643374 ;\n", + "Epoch 770/1000, Cost: 4.8307\n", + " and the parameters are [-3.08509457 4.16255969] -5.472514042767927 ;\n", + "Epoch 770/1000, Cost: 2.4479\n", + " and the parameters are [-3.08512267 4.16255329] -5.472527939983187 ;\n", + "Epoch 770/1000, Cost: 2.2771\n", + " and the parameters are [-3.08512226 4.16259028] -5.472527533508911 ;\n", + "Epoch 770/1000, Cost: 6.6416\n", + " and the parameters are [-3.08513659 4.16255585] -5.472547237217883 ;\n", + "Epoch 770/1000, Cost: 7.1769\n", + " and the parameters are [-3.08512574 4.16230504] -5.4727229277839795 ;\n", + "Epoch 770/1000, Cost: 1.9764\n", + " and the parameters are [-3.08514183 4.1622591 ] -5.4727683721512825 ;\n", + "Epoch 770/1000, Cost: 1.1910\n", + " and the parameters are [-3.08514046 4.16225367] -5.472794749271318 ;\n", + "Epoch 770/1000, Cost: 5.7099\n", + " and the parameters are [-3.08519481 4.1622623 ] -5.472764933438848 ;\n", + "Epoch 770/1000, Cost: 4.8048\n", + " and the parameters are [-3.08519058 4.16225521] -5.472788799347363 ;\n", + "Epoch 770/1000, Cost: 1.8635\n", + " and the parameters are [-3.08521362 4.16226519] -5.472796183717376 ;\n", + "Epoch 770/1000, Cost: 2.1148\n", + " and the parameters are [-3.0851959 4.16229919] -5.472807222316821 ;\n", + "Epoch 770/1000, Cost: 2.6256\n", + " and the parameters are [-3.08523754 4.16236792] -5.4727621790157635 ;\n", + "Epoch 770/1000, Cost: 2.6397\n", + " and the parameters are [-3.08526615 4.16239527] -5.4727574033210065 ;\n", + "Epoch 770/1000, Cost: 3.0556\n", + " and the parameters are [-3.0852791 4.16234781] -5.472802881713225 ;\n", + "Epoch 770/1000, Cost: 2.7803\n", + " and the parameters are [-3.08527811 4.16246039] -5.472740225175311 ;\n", + "Epoch 770/1000, Cost: 2.3069\n", + " and the parameters are [-3.08526698 4.16244637] -5.472789149563672 ;\n", + "Epoch 770/1000, Cost: 2.8743\n", + " and the parameters are [-3.0853091 4.16243474] -5.472809220543916 ;\n", + "Epoch 770/1000, Cost: 4.8012\n", + " and the parameters are [-3.08520071 4.16249022] -5.472830836040814 ;\n", + "Epoch 770/1000, Cost: 4.3584\n", + " and the parameters are [-3.08529185 4.16230638] -5.4729107611537 ;\n", + "Epoch 770/1000, Cost: 3.9109\n", + " and the parameters are [-3.08527059 4.16223833] -5.4729930472469555 ;\n", + "Epoch 770/1000, Cost: 2.5564\n", + " and the parameters are [-3.08525192 4.16218763] -5.473065982164254 ;\n", + "Epoch 770/1000, Cost: 1.5649\n", + " and the parameters are [-3.08523653 4.16219783] -5.473095030466957 ;\n", + "Epoch 770/1000, Cost: 2.7470\n", + " and the parameters are [-3.08522694 4.16227092] -5.473072032914816 ;\n", + "Epoch 770/1000, Cost: 3.7747\n", + " and the parameters are [-3.08526776 4.16229431] -5.473046649707966 ;\n", + "Epoch 770/1000, Cost: 3.3387\n", + " and the parameters are [-3.08529176 4.16227957] -5.47306162613221 ;\n", + "Epoch 770/1000, Cost: 5.1162\n", + " and the parameters are [-3.08528589 4.16235031] -5.473001223988606 ;\n", + "Epoch 770/1000, Cost: 1.4934\n", + " and the parameters are [-3.08526108 4.16238813] -5.473006897188631 ;\n", + "Epoch 770/1000, Cost: 3.1007\n", + " and the parameters are [-3.08524409 4.16248125] -5.472952175269442 ;\n", + "Epoch 770/1000, Cost: 1.9078\n", + " and the parameters are [-3.0851772 4.16259551] -5.4729235286548 ;\n", + "Epoch 770/1000, Cost: 1.7214\n", + " and the parameters are [-3.08514253 4.16261835] -5.472950422152336 ;\n", + "Epoch 770/1000, Cost: 1.5278\n", + " and the parameters are [-3.0851316 4.16265304] -5.472959919065277 ;\n", + "Epoch 770/1000, Cost: 2.9244\n", + " and the parameters are [-3.08505147 4.16271437] -5.472983163207181 ;\n", + "Epoch 770/1000, Cost: 1.9684\n", + " and the parameters are [-3.08506208 4.16264705] -5.473041860440247 ;\n", + "Epoch 770/1000, Cost: 3.2887\n", + " and the parameters are [-3.08502845 4.16260243] -5.473128118166004 ;\n", + "Epoch 770/1000, Cost: 1.5815\n", + " and the parameters are [-3.08499319 4.16268494] -5.473102267542317 ;\n", + "Epoch 770/1000, Cost: 0.9709\n", + " and the parameters are [-3.08501273 4.16270034] -5.473100420354752 ;\n", + "Epoch 770/1000, Cost: 0.9120\n", + " and the parameters are [-3.08499922 4.16273252] -5.473104794587601 ;\n", + "Epoch 770/1000, Cost: 1.6663\n", + " and the parameters are [-3.0849989 4.16270108] -5.473158250185408 ;\n", + "Epoch 770/1000, Cost: 1.3078\n", + " and the parameters are [-3.08505708 4.16271462] -5.473130253915364 ;\n", + "Epoch 770/1000, Cost: 1.6096\n", + " and the parameters are [-3.0850502 4.16275078] -5.4731360123446855 ;\n", + "Epoch 770/1000, Cost: 2.6899\n", + " and the parameters are [-3.08503934 4.16281302] -5.473121707308912 ;\n", + "Epoch 770/1000, Cost: 1.8796\n", + " and the parameters are [-3.08504238 4.16282126] -5.473127949294079 ;\n", + "Epoch 770/1000, Cost: 2.8476\n", + " and the parameters are [-3.08503226 4.16288128] -5.473097108218388 ;\n", + "Epoch 770/1000, Cost: 3.2766\n", + " and the parameters are [-3.08501399 4.1628497 ] -5.473156602442342 ;\n", + "Epoch 770/1000, Cost: 2.7967\n", + " and the parameters are [-3.08501912 4.1628624 ] -5.473174032826983 ;\n", + "Epoch 770/1000, Cost: 1.8731\n", + " and the parameters are [-3.08498022 4.16289844] -5.473185785386618 ;\n", + "Epoch 770/1000, Cost: 2.0098\n", + " and the parameters are [-3.08500153 4.16291858] -5.473183756413848 ;\n", + "Epoch 770/1000, Cost: 3.2363\n", + " and the parameters are [-3.08498285 4.16290129] -5.473225144376332 ;\n", + "Epoch 770/1000, Cost: 0.5704\n", + " and the parameters are [-3.0849737 4.16292276] -5.473231805307606 ;\n", + "Epoch 770/1000, Cost: 2.5359\n", + " and the parameters are [-3.08498192 4.16289548] -5.473272677534579 ;\n", + "Epoch 770/1000, Cost: 3.1882\n", + " and the parameters are [-3.08501343 4.16280754] -5.473342954882818 ;\n", + "Epoch 770/1000, Cost: 4.1698\n", + " and the parameters are [-3.08504776 4.16269671] -5.473420921420503 ;\n", + "Epoch 770/1000, Cost: 2.8404\n", + " and the parameters are [-3.08508791 4.16273143] -5.473382238269855 ;\n", + "Epoch 770/1000, Cost: 2.1474\n", + " and the parameters are [-3.08510031 4.16281555] -5.473336433940401 ;\n", + "Epoch 770/1000, Cost: 5.2568\n", + " and the parameters are [-3.08515895 4.16290547] -5.473264476137168 ;\n", + "Epoch 770/1000, Cost: 1.9188\n", + " and the parameters are [-3.08516535 4.16296221] -5.473246437417392 ;\n", + "Epoch 770/1000, Cost: 2.5989\n", + " and the parameters are [-3.08508114 4.16309643] -5.473208513177744 ;\n", + "Epoch 770/1000, Cost: 4.5404\n", + " and the parameters are [-3.08521072 4.16308033] -5.473159037883917 ;\n", + "Epoch 770/1000, Cost: 2.6396\n", + " and the parameters are [-3.08525632 4.16307117] -5.473163792720769 ;\n", + "Epoch 770/1000, Cost: 2.4604\n", + " and the parameters are [-3.08529332 4.16298986] -5.473231019014572 ;\n", + "Epoch 770/1000, Cost: 5.1685\n", + " and the parameters are [-3.08532087 4.16300784] -5.473211180103958 ;\n", + "Epoch 770/1000, Cost: 3.2299\n", + " and the parameters are [-3.08534343 4.16307967] -5.4731696859415475 ;\n", + "Epoch 770/1000, Cost: 2.1357\n", + " and the parameters are [-3.08533491 4.1630404 ] -5.473227266961683 ;\n", + "Epoch 770/1000, Cost: 2.5674\n", + " and the parameters are [-3.08536305 4.1631023 ] -5.473191185446053 ;\n", + "Epoch 770/1000, Cost: 2.3401\n", + " and the parameters are [-3.08537668 4.16315677] -5.473169857285186 ;\n", + "Epoch 770/1000, Cost: 7.7219\n", + " and the parameters are [-3.08549491 4.1629525 ] -5.4732283301553375 ;\n", + "Epoch 770/1000, Cost: 1.8937\n", + " and the parameters are [-3.08543427 4.16295475] -5.4732837599446125 ;\n", + "Epoch 770/1000, Cost: 7.2224\n", + " and the parameters are [-3.08541142 4.16296711] -5.473274408465892 ;\n", + "Epoch 770/1000, Cost: 1.0485\n", + " and the parameters are [-3.08542712 4.16297223] -5.4732813176553385 ;\n", + "Epoch 770/1000, Cost: 3.3403\n", + " and the parameters are [-3.0853488 4.16314965] -5.47320765471785 ;\n", + "Epoch 770/1000, Cost: 4.0883\n", + " and the parameters are [-3.08539375 4.16322459] -5.47314725890621 ;\n", + "Epoch 770/1000, Cost: 2.1190\n", + " and the parameters are [-3.08541001 4.16321915] -5.47317394518743 ;\n", + "Epoch 770/1000, Cost: 2.4123\n", + " and the parameters are [-3.08545168 4.16328242] -5.473131518507774 ;\n", + "Epoch 770/1000, Cost: 1.9389\n", + " and the parameters are [-3.08546489 4.16324773] -5.473172720730183 ;\n", + "Epoch 770/1000, Cost: 7.0926\n", + " and the parameters are [-3.08537881 4.16326824] -5.473190515289042 ;\n", + "Epoch 770/1000, Cost: 1.5321\n", + " and the parameters are [-3.08539584 4.1632551 ] -5.473215152241887 ;\n", + "Epoch 770/1000, Cost: 4.2200\n", + " and the parameters are [-3.08538661 4.16316698] -5.473282789794721 ;\n", + "Epoch 770/1000, Cost: 3.8271\n", + " and the parameters are [-3.08535813 4.16324881] -5.473264485203697 ;\n", + "Epoch 770/1000, Cost: 2.8453\n", + " and the parameters are [-3.08532183 4.16325306] -5.473307106756411 ;\n", + "Epoch 770/1000, Cost: 5.9131\n", + " and the parameters are [-3.08534957 4.16330969] -5.473243312815078 ;\n", + "Epoch 770/1000, Cost: 4.4537\n", + " and the parameters are [-3.08526404 4.16335297] -5.473280629627663 ;\n", + "Epoch 770/1000, Cost: 1.0520\n", + " and the parameters are [-3.0852639 4.16340241] -5.4732685499858675 ;\n", + "Epoch 770/1000, Cost: 2.6496\n", + " and the parameters are [-3.08529166 4.16343204] -5.4732469920703934 ;\n", + "Epoch 770/1000, Cost: 1.9096\n", + " and the parameters are [-3.08528353 4.16342181] -5.4732875571546 ;\n", + "Epoch 770/1000, Cost: 3.0037\n", + " and the parameters are [-3.08530621 4.16349557] -5.473233216070389 ;\n", + "Epoch 770/1000, Cost: 2.5392\n", + " and the parameters are [-3.0852087 4.1635257] -5.473287518643328 ;\n", + "Epoch 770/1000, Cost: 3.4440\n", + " and the parameters are [-3.08514526 4.16355995] -5.473311421442172 ;\n", + "Epoch 770/1000, Cost: 1.2725\n", + " and the parameters are [-3.08516119 4.1635947 ] -5.473297823143761 ;\n", + "Epoch 770/1000, Cost: 6.2145\n", + " and the parameters are [-3.0850896 4.16367983] -5.473274053562926 ;\n", + "Epoch 770/1000, Cost: 1.6784\n", + " and the parameters are [-3.0851035 4.16367219] -5.47330365449783 ;\n", + "Epoch 770/1000, Cost: 1.9493\n", + " and the parameters are [-3.08509781 4.16373498] -5.4732861163182065 ;\n", + "Epoch 770/1000, Cost: 3.4319\n", + " and the parameters are [-3.08510221 4.16371124] -5.473312912956383 ;\n", + "Epoch 770/1000, Cost: 2.3785\n", + " and the parameters are [-3.08508316 4.16383334] -5.473249448231961 ;\n", + "Epoch 770/1000, Cost: 9.1170\n", + " and the parameters are [-3.08508916 4.16376849] -5.473265597951902 ;\n", + "Epoch 770/1000, Cost: 2.3810\n", + " and the parameters are [-3.08505288 4.16387377] -5.473221572470793 ;\n", + "Epoch 770/1000, Cost: 4.3718\n", + " and the parameters are [-3.08511503 4.16370725] -5.473344268555235 ;\n", + "Epoch 770/1000, Cost: 1.0964\n", + " and the parameters are [-3.08509248 4.16377983] -5.473323274528601 ;\n", + "Epoch 770/1000, Cost: 3.0797\n", + " and the parameters are [-3.08507442 4.16375216] -5.473382433744197 ;\n", + "Epoch 770/1000, Cost: 2.0066\n", + " and the parameters are [-3.08513788 4.16368165] -5.4734238586901505 ;\n", + "Epoch 770/1000, Cost: 3.0873\n", + " and the parameters are [-3.08505679 4.16377545] -5.473419249584753 ;\n", + "Epoch 770/1000, Cost: 1.1701\n", + " and the parameters are [-3.08501619 4.1637876 ] -5.4734500076133665 ;\n", + "Epoch 770/1000, Cost: 4.7385\n", + " and the parameters are [-3.08506496 4.16375833] -5.473459905917061 ;\n", + "Epoch 770/1000, Cost: 3.9969\n", + " and the parameters are [-3.08522499 4.16367145] -5.473441121429011 ;\n", + "Epoch 770/1000, Cost: 5.1672\n", + " and the parameters are [-3.08537072 4.16346653] -5.473526151247747 ;\n", + "Epoch 770/1000, Cost: 2.0752\n", + " and the parameters are [-3.08537505 4.16353863] -5.473493412065161 ;\n", + "Epoch 770/1000, Cost: 5.2301\n", + " and the parameters are [-3.0854572 4.16354187] -5.473448492122882 ;\n", + "Epoch 770/1000, Cost: 4.2259\n", + " and the parameters are [-3.08553327 4.16342928] -5.473492462428381 ;\n", + "Epoch 770/1000, Cost: 1.7923\n", + " and the parameters are [-3.08552781 4.16344937] -5.473506032728331 ;\n", + "Epoch 770/1000, Cost: 1.7669\n", + " and the parameters are [-3.08553324 4.16346557] -5.473512102431653 ;\n", + "Epoch 770/1000, Cost: 2.8220\n", + " and the parameters are [-3.08557003 4.16359054] -5.473425417996335 ;\n", + "Epoch 770/1000, Cost: 1.3605\n", + " and the parameters are [-3.08556822 4.16367884] -5.473383614472894 ;\n", + "Epoch 770/1000, Cost: 2.7052\n", + " and the parameters are [-3.08561793 4.1635959 ] -5.473448361340029 ;\n", + "Epoch 770/1000, Cost: 3.3328\n", + " and the parameters are [-3.08564099 4.16352761] -5.473506967768684 ;\n", + "Epoch 770/1000, Cost: 3.4255\n", + " and the parameters are [-3.08573709 4.16353006] -5.473463228061346 ;\n", + "Epoch 770/1000, Cost: 2.4802\n", + " and the parameters are [-3.08568612 4.16353239] -5.473501935730884 ;\n", + "Epoch 770/1000, Cost: 2.2990\n", + " and the parameters are [-3.08566307 4.16354584] -5.473522654792298 ;\n", + "Epoch 770/1000, Cost: 1.5132\n", + " and the parameters are [-3.0856555 4.16360582] -5.473508951591655 ;\n", + "Epoch 770/1000, Cost: 3.0471\n", + " and the parameters are [-3.08560757 4.16362946] -5.47354576097278 ;\n", + "Epoch 770/1000, Cost: 1.9720\n", + " and the parameters are [-3.0856509 4.16364413] -5.473526831794718 ;\n", + "Epoch 770/1000, Cost: 2.4394\n", + " and the parameters are [-3.08565853 4.1635922 ] -5.473592370640732 ;\n", + "Epoch 770/1000, Cost: 3.3412\n", + " and the parameters are [-3.08565933 4.16353543] -5.473661294864386 ;\n", + "Epoch 770/1000, Cost: 1.4588\n", + " and the parameters are [-3.0856768 4.16356241] -5.473655745449486 ;\n", + "Epoch 770/1000, Cost: 0.8169\n", + " and the parameters are [-3.0856599 4.16360591] -5.473653893455003 ;\n", + "Epoch 770/1000, Cost: 5.4260\n", + " and the parameters are [-3.08562064 4.16352498] -5.473768166969608 ;\n", + "Epoch 770/1000, Cost: 4.4906\n", + " and the parameters are [-3.08559943 4.16356161] -5.47375733030948 ;\n", + "Epoch 770/1000, Cost: 3.6979\n", + " and the parameters are [-3.08559487 4.16365725] -5.473691518018884 ;\n", + "Epoch 770/1000, Cost: 1.9135\n", + " and the parameters are [-3.08558514 4.16371928] -5.473663850885488 ;\n", + "Epoch 770/1000, Cost: 1.5347\n", + " and the parameters are [-3.08558333 4.16368581] -5.473713200063379 ;\n", + "Epoch 770/1000, Cost: 2.1033\n", + " and the parameters are [-3.08557383 4.16374095] -5.473693073711558 ;\n", + "Epoch 770/1000, Cost: 3.0676\n", + " and the parameters are [-3.08556778 4.16376191] -5.473705601704453 ;\n", + "Epoch 770/1000, Cost: 7.0171\n", + " and the parameters are [-3.08557333 4.16361551] -5.47379141260262 ;\n", + "Epoch 770/1000, Cost: 2.2358\n", + " and the parameters are [-3.0855619 4.1636327] -5.473811144260853 ;\n", + "Epoch 770/1000, Cost: 5.3998\n", + " and the parameters are [-3.08554421 4.16371506] -5.473759645932136 ;\n", + "Epoch 770/1000, Cost: 7.7978\n", + " and the parameters are [-3.08541926 4.16388409] -5.473680173173916 ;\n", + "Epoch 770/1000, Cost: 2.3742\n", + " and the parameters are [-3.08546749 4.16388729] -5.47367255493685 ;\n", + "Epoch 770/1000, Cost: 1.3503\n", + " and the parameters are [-3.08546747 4.16389364] -5.473698257753924 ;\n", + "Epoch 770/1000, Cost: 5.6863\n", + " and the parameters are [-3.08544323 4.16397373] -5.473638773305274 ;\n", + "Epoch 770/1000, Cost: 4.4278\n", + " and the parameters are [-3.0855218 4.16391477] -5.473643721638422 ;\n", + "Epoch 770/1000, Cost: 7.2447\n", + " and the parameters are [-3.08560843 4.16374767] -5.473691692792162 ;\n", + "Epoch 770/1000, Cost: 6.3598\n", + " and the parameters are [-3.08551816 4.16377137] -5.47371687305898 ;\n", + "Epoch 770/1000, Cost: 0.6859\n", + " and the parameters are [-3.08553457 4.16379835] -5.473705811689969 ;\n", + "Epoch 770/1000, Cost: 2.5446\n", + " and the parameters are [-3.08554412 4.16388605] -5.4736548231904365 ;\n", + "Epoch 770/1000, Cost: 3.6659\n", + " and the parameters are [-3.08556341 4.16392208] -5.473634214423995 ;\n", + "Epoch 770/1000, Cost: 4.2644\n", + " and the parameters are [-3.08554406 4.16392506] -5.473632043965803 ;\n", + "Epoch 770/1000, Cost: 1.9127\n", + " and the parameters are [-3.08556412 4.16392197] -5.473643885953776 ;\n", + "Epoch 770/1000, Cost: 2.7475\n", + " and the parameters are [-3.08561386 4.16392459] -5.4736369603818 ;\n", + "Epoch 770/1000, Cost: 2.7295\n", + " and the parameters are [-3.08570774 4.16384645] -5.473668243601654 ;\n", + "Epoch 770/1000, Cost: 2.2074\n", + " and the parameters are [-3.08578112 4.16373367] -5.473721722686271 ;\n", + "Epoch 770/1000, Cost: 3.0037\n", + " and the parameters are [-3.08583965 4.16377401] -5.473676640561097 ;\n", + "Epoch 770/1000, Cost: 0.5863\n", + " and the parameters are [-3.0858354 4.16377581] -5.473693611106225 ;\n", + "Epoch 770/1000, Cost: 3.6846\n", + " and the parameters are [-3.08581629 4.16378754] -5.473715897423088 ;\n", + "Epoch 770/1000, Cost: 1.7662\n", + " and the parameters are [-3.08582119 4.16376973] -5.473751982698114 ;\n", + "Epoch 770/1000, Cost: 0.9541\n", + " and the parameters are [-3.08581433 4.16379372] -5.473761386495812 ;\n", + "Epoch 770/1000, Cost: 3.8603\n", + " and the parameters are [-3.0858164 4.16380303] -5.473779589329773 ;\n", + "Epoch 770/1000, Cost: 1.6240\n", + " and the parameters are [-3.08585804 4.16377587] -5.4738035128545395 ;\n", + "Epoch 770/1000, Cost: 1.9581\n", + " and the parameters are [-3.08587551 4.16373223] -5.473844161566058 ;\n", + "Epoch 770/1000, Cost: 1.5048\n", + " and the parameters are [-3.08586345 4.16379381] -5.4738281577209325 ;\n", + "Epoch 770/1000, Cost: 1.1784\n", + " and the parameters are [-3.08589224 4.16379056] -5.473835186760064 ;\n", + "Epoch 770/1000, Cost: 3.4747\n", + " and the parameters are [-3.08590963 4.16379318] -5.473844771957318 ;\n", + "Epoch 770/1000, Cost: 0.5247\n", + " and the parameters are [-3.08592176 4.16381385] -5.473839097660429 ;\n", + "Epoch 770/1000, Cost: 3.2647\n", + " and the parameters are [-3.08593615 4.16387969] -5.473803719603123 ;\n", + "Epoch 770/1000, Cost: 1.3801\n", + " and the parameters are [-3.08591313 4.16388393] -5.473840187961383 ;\n", + "Epoch 770/1000, Cost: 4.4984\n", + " and the parameters are [-3.08588682 4.1640462 ] -5.473742264562129 ;\n", + "Epoch 770/1000, Cost: 2.7800\n", + " and the parameters are [-3.08588627 4.16406873] -5.473743634611907 ;\n", + "Epoch 770/1000, Cost: 7.7266\n", + " and the parameters are [-3.08587794 4.1641443 ] -5.473678911421083 ;\n", + "Epoch 770/1000, Cost: 1.8259\n", + " and the parameters are [-3.08587583 4.16420177] -5.473659575102942 ;\n", + "Epoch 770/1000, Cost: 3.8920\n", + " and the parameters are [-3.08587543 4.16414584] -5.473720056344316 ;\n", + "Epoch 770/1000, Cost: 6.0164\n", + " and the parameters are [-3.08583428 4.16407585] -5.4737897573135506 ;\n", + "Epoch 770/1000, Cost: 5.4306\n", + " and the parameters are [-3.08593307 4.16400385] -5.473766140808285 ;\n", + "Epoch 770/1000, Cost: 3.3034\n", + " and the parameters are [-3.08584851 4.16410533] -5.473750793587338 ;\n", + "Epoch 770/1000, Cost: 2.9821\n", + " and the parameters are [-3.08591425 4.16405022] -5.473775147310814 ;\n", + "Epoch 770/1000, Cost: 1.5648\n", + " and the parameters are [-3.08591184 4.16406147] -5.473793140026519 ;\n", + "Epoch 770/1000, Cost: 1.7247\n", + " and the parameters are [-3.08589701 4.16402706] -5.473855645066343 ;\n", + "Epoch 770/1000, Cost: 1.6359\n", + " and the parameters are [-3.08589907 4.1640584 ] -5.473849783018984 ;\n", + "Epoch 770/1000, Cost: 2.3886\n", + " and the parameters are [-3.08588142 4.16410024] -5.473857637648701 ;\n", + "Epoch 770/1000, Cost: 1.8030\n", + " and the parameters are [-3.08586138 4.1641246 ] -5.47387772369732 ;\n", + "Epoch 770/1000, Cost: 4.3433\n", + " and the parameters are [-3.08579038 4.16425627] -5.473840996079453 ;\n", + "Epoch 770/1000, Cost: 3.2789\n", + " and the parameters are [-3.08581103 4.16430706] -5.473805490775784 ;\n", + "Epoch 770/1000, Cost: 1.6276\n", + " and the parameters are [-3.08581777 4.16434515] -5.473801127162865 ;\n", + "Epoch 770/1000, Cost: 2.5726\n", + " and the parameters are [-3.08582509 4.16429926] -5.473846972845201 ;\n", + "Epoch 770/1000, Cost: 2.6395\n", + " and the parameters are [-3.08586636 4.16426539] -5.473863622242613 ;\n", + "Epoch 780/1000, Cost: 3.4362\n", + " and the parameters are [-3.09512463 4.17614919] -5.49040764068876 ;\n", + "Epoch 780/1000, Cost: 3.4899\n", + " and the parameters are [-3.09513299 4.17609634] -5.490460378198161 ;\n", + "Epoch 780/1000, Cost: 1.7576\n", + " and the parameters are [-3.09519204 4.17601456] -5.490512816094093 ;\n", + "Epoch 780/1000, Cost: 2.3651\n", + " and the parameters are [-3.09520447 4.17600621] -5.490539732913714 ;\n", + "Epoch 780/1000, Cost: 1.9920\n", + " and the parameters are [-3.09522066 4.17606726] -5.490513073218571 ;\n", + "Epoch 780/1000, Cost: 1.2589\n", + " and the parameters are [-3.09518948 4.17609322] -5.490532909142777 ;\n", + "Epoch 780/1000, Cost: 5.3851\n", + " and the parameters are [-3.0952365 4.17609625] -5.490524403988231 ;\n", + "Epoch 780/1000, Cost: 7.4953\n", + " and the parameters are [-3.09524199 4.17609852] -5.490497736646921 ;\n", + "Epoch 780/1000, Cost: 2.6408\n", + " and the parameters are [-3.09517838 4.17613339] -5.490521810116539 ;\n", + "Epoch 780/1000, Cost: 3.2602\n", + " and the parameters are [-3.09517799 4.17621779] -5.490468642482817 ;\n", + "Epoch 780/1000, Cost: 2.4620\n", + " and the parameters are [-3.09522794 4.1762788 ] -5.4904275071010415 ;\n", + "Epoch 780/1000, Cost: 2.9965\n", + " and the parameters are [-3.09521635 4.17620842] -5.490501087916452 ;\n", + "Epoch 780/1000, Cost: 1.1221\n", + " and the parameters are [-3.0952194 4.1762684] -5.490474691645595 ;\n", + "Epoch 780/1000, Cost: 2.3546\n", + " and the parameters are [-3.0952236 4.17634147] -5.490425571993959 ;\n", + "Epoch 780/1000, Cost: 1.0103\n", + " and the parameters are [-3.09521563 4.17636327] -5.490438350473022 ;\n", + "Epoch 780/1000, Cost: 5.5114\n", + " and the parameters are [-3.09518852 4.17650415] -5.49036356838063 ;\n", + "Epoch 780/1000, Cost: 2.7766\n", + " and the parameters are [-3.09523363 4.17653725] -5.490337305474548 ;\n", + "Epoch 780/1000, Cost: 5.6733\n", + " and the parameters are [-3.09513033 4.17654545] -5.490388392598794 ;\n", + "Epoch 780/1000, Cost: 1.2039\n", + " and the parameters are [-3.0951632 4.17657935] -5.490368307312428 ;\n", + "Epoch 780/1000, Cost: 4.2760\n", + " and the parameters are [-3.09519253 4.17661119] -5.4903596197620175 ;\n", + "Epoch 780/1000, Cost: 2.7978\n", + " and the parameters are [-3.09515243 4.17660403] -5.490402221565878 ;\n", + "Epoch 780/1000, Cost: 7.9115\n", + " and the parameters are [-3.09524513 4.17653409] -5.490388181944531 ;\n", + "Epoch 780/1000, Cost: 5.4357\n", + " and the parameters are [-3.09519876 4.17658956] -5.490363663575662 ;\n", + "Epoch 780/1000, Cost: 2.8654\n", + " and the parameters are [-3.09515223 4.17657174] -5.490412413223349 ;\n", + "Epoch 780/1000, Cost: 3.8443\n", + " and the parameters are [-3.09513425 4.17653359] -5.4904632094474755 ;\n", + "Epoch 780/1000, Cost: 5.4778\n", + " and the parameters are [-3.09506127 4.17660588] -5.490450947635612 ;\n", + "Epoch 780/1000, Cost: 1.8605\n", + " and the parameters are [-3.09502808 4.17671198] -5.490417711690815 ;\n", + "Epoch 780/1000, Cost: 1.0025\n", + " and the parameters are [-3.09504527 4.17671147] -5.490431801688204 ;\n", + "Epoch 780/1000, Cost: 3.8067\n", + " and the parameters are [-3.09511257 4.1765511 ] -5.490508208646712 ;\n", + "Epoch 780/1000, Cost: 2.2040\n", + " and the parameters are [-3.09510037 4.17656427] -5.490535049210956 ;\n", + "Epoch 780/1000, Cost: 4.2652\n", + " and the parameters are [-3.09511341 4.1764627 ] -5.490616462860189 ;\n", + "Epoch 780/1000, Cost: 1.5544\n", + " and the parameters are [-3.09513067 4.17650444] -5.490603124670455 ;\n", + "Epoch 780/1000, Cost: 3.5369\n", + " and the parameters are [-3.09513457 4.1764586 ] -5.4906598247107015 ;\n", + "Epoch 780/1000, Cost: 5.9479\n", + " and the parameters are [-3.09505605 4.17651124] -5.490679071852058 ;\n", + "Epoch 780/1000, Cost: 2.3837\n", + " and the parameters are [-3.0949839 4.1765796] -5.490698442817162 ;\n", + "Epoch 780/1000, Cost: 1.0876\n", + " and the parameters are [-3.09502261 4.17651482] -5.49073924915123 ;\n", + "Epoch 780/1000, Cost: 1.6973\n", + " and the parameters are [-3.09501605 4.17655957] -5.4907261609996985 ;\n", + "Epoch 780/1000, Cost: 7.6777\n", + " and the parameters are [-3.09503409 4.17650055] -5.490750978936981 ;\n", + "Epoch 780/1000, Cost: 1.2458\n", + " and the parameters are [-3.09503565 4.17655536] -5.490733085173279 ;\n", + "Epoch 780/1000, Cost: 1.9859\n", + " and the parameters are [-3.09504829 4.17661188] -5.49071484341377 ;\n", + "Epoch 780/1000, Cost: 2.8417\n", + " and the parameters are [-3.09503819 4.17663117] -5.490741327524126 ;\n", + "Epoch 780/1000, Cost: 0.9684\n", + " and the parameters are [-3.09505848 4.17662274] -5.490758642677828 ;\n", + "Epoch 780/1000, Cost: 2.7857\n", + " and the parameters are [-3.09503325 4.17666727] -5.4907593665803045 ;\n", + "Epoch 780/1000, Cost: 3.5946\n", + " and the parameters are [-3.0951212 4.1766497] -5.490737162719268 ;\n", + "Epoch 780/1000, Cost: 3.0044\n", + " and the parameters are [-3.09514768 4.17667976] -5.490717896311242 ;\n", + "Epoch 780/1000, Cost: 3.4375\n", + " and the parameters are [-3.09511561 4.17672635] -5.490724070031686 ;\n", + "Epoch 780/1000, Cost: 1.6254\n", + " and the parameters are [-3.0950888 4.17676474] -5.4907354897944085 ;\n", + "Epoch 780/1000, Cost: 5.4102\n", + " and the parameters are [-3.09505076 4.17661829] -5.490865232427439 ;\n", + "Epoch 780/1000, Cost: 2.0042\n", + " and the parameters are [-3.09508391 4.1766401 ] -5.490859860120556 ;\n", + "Epoch 780/1000, Cost: 2.9302\n", + " and the parameters are [-3.09510308 4.17669065] -5.490830347218015 ;\n", + "Epoch 780/1000, Cost: 1.4444\n", + " and the parameters are [-3.09512177 4.17672247] -5.490820191872136 ;\n", + "Epoch 780/1000, Cost: 3.3614\n", + " and the parameters are [-3.09510182 4.17681508] -5.4907716042906785 ;\n", + "Epoch 780/1000, Cost: 6.6056\n", + " and the parameters are [-3.09516186 4.17660184] -5.490878898089189 ;\n", + "Epoch 780/1000, Cost: 2.0223\n", + " and the parameters are [-3.09523884 4.17657011] -5.4908944861626585 ;\n", + "Epoch 780/1000, Cost: 1.9892\n", + " and the parameters are [-3.09517677 4.17664462] -5.49090130502882 ;\n", + "Epoch 780/1000, Cost: 4.2181\n", + " and the parameters are [-3.09518007 4.1767612 ] -5.490836353753677 ;\n", + "Epoch 780/1000, Cost: 2.5712\n", + " and the parameters are [-3.09516352 4.17682969] -5.490827927639324 ;\n", + "Epoch 780/1000, Cost: 5.3445\n", + " and the parameters are [-3.09513736 4.17674768] -5.4908932855535 ;\n", + "Epoch 780/1000, Cost: 8.4175\n", + " and the parameters are [-3.09516268 4.17656817] -5.490999564417979 ;\n", + "Epoch 780/1000, Cost: 5.0529\n", + " and the parameters are [-3.09514048 4.17645903] -5.4911101058826555 ;\n", + "Epoch 780/1000, Cost: 3.2792\n", + " and the parameters are [-3.09517884 4.17654273] -5.491025970597456 ;\n", + "Epoch 780/1000, Cost: 3.9277\n", + " and the parameters are [-3.09523566 4.17651316] -5.491022311303096 ;\n", + "Epoch 780/1000, Cost: 2.8240\n", + " and the parameters are [-3.09524232 4.17647321] -5.491064438097107 ;\n", + "Epoch 780/1000, Cost: 0.8866\n", + " and the parameters are [-3.09526059 4.17646878] -5.491077857875013 ;\n", + "Epoch 780/1000, Cost: 2.9461\n", + " and the parameters are [-3.09533664 4.17639668] -5.491114517951964 ;\n", + "Epoch 780/1000, Cost: 5.6232\n", + " and the parameters are [-3.09532468 4.17651285] -5.491027521833897 ;\n", + "Epoch 780/1000, Cost: 2.1150\n", + " and the parameters are [-3.09530112 4.17650804] -5.491063714091129 ;\n", + "Epoch 780/1000, Cost: 2.7756\n", + " and the parameters are [-3.0953647 4.17645526] -5.491086931188096 ;\n", + "Epoch 780/1000, Cost: 1.0920\n", + " and the parameters are [-3.09534754 4.17648483] -5.491099783113801 ;\n", + "Epoch 780/1000, Cost: 3.3925\n", + " and the parameters are [-3.09531234 4.17656198] -5.491077292074193 ;\n", + "Epoch 780/1000, Cost: 2.0746\n", + " and the parameters are [-3.09535606 4.17653046] -5.4911080198300235 ;\n", + "Epoch 780/1000, Cost: 1.5468\n", + " and the parameters are [-3.09537219 4.17658436] -5.491091782235592 ;\n", + "Epoch 780/1000, Cost: 4.0707\n", + " and the parameters are [-3.09540043 4.17657459] -5.491096794602775 ;\n", + "Epoch 780/1000, Cost: 1.9449\n", + " and the parameters are [-3.09543106 4.17651815] -5.4911406155828475 ;\n", + "Epoch 780/1000, Cost: 1.0595\n", + " and the parameters are [-3.09541689 4.17656943] -5.491133226677483 ;\n", + "Epoch 780/1000, Cost: 4.0647\n", + " and the parameters are [-3.09533959 4.17654416] -5.4912089975721585 ;\n", + "Epoch 780/1000, Cost: 3.7621\n", + " and the parameters are [-3.09529879 4.17652194] -5.491248214104395 ;\n", + "Epoch 780/1000, Cost: 1.7832\n", + " and the parameters are [-3.09532663 4.17650916] -5.4912634584799696 ;\n", + "Epoch 780/1000, Cost: 1.4288\n", + " and the parameters are [-3.09536854 4.17653285] -5.491246493687252 ;\n", + "Epoch 780/1000, Cost: 4.6631\n", + " and the parameters are [-3.0952811 4.17663376] -5.491203345074058 ;\n", + "Epoch 780/1000, Cost: 3.9674\n", + " and the parameters are [-3.09531042 4.17663124] -5.491201843073136 ;\n", + "Epoch 780/1000, Cost: 3.3774\n", + " and the parameters are [-3.09535042 4.17664371] -5.491187001329625 ;\n", + "Epoch 780/1000, Cost: 1.0025\n", + " and the parameters are [-3.09536422 4.17666788] -5.491184051230339 ;\n", + "Epoch 780/1000, Cost: 1.7652\n", + " and the parameters are [-3.0954483 4.17659032] -5.491223193521974 ;\n", + "Epoch 780/1000, Cost: 3.5496\n", + " and the parameters are [-3.09547462 4.17660567] -5.491222201693335 ;\n", + "Epoch 780/1000, Cost: 2.0306\n", + " and the parameters are [-3.09546473 4.17667449] -5.491201873479853 ;\n", + "Epoch 780/1000, Cost: 3.9543\n", + " and the parameters are [-3.0955015 4.17670442] -5.491173055866086 ;\n", + "Epoch 780/1000, Cost: 2.8385\n", + " and the parameters are [-3.09544698 4.17683318] -5.491125163045862 ;\n", + "Epoch 780/1000, Cost: 4.8911\n", + " and the parameters are [-3.09554032 4.17676459] -5.491144447491535 ;\n", + "Epoch 780/1000, Cost: 3.6137\n", + " and the parameters are [-3.09554012 4.17681212] -5.491125377594657 ;\n", + "Epoch 780/1000, Cost: 1.9454\n", + " and the parameters are [-3.09555503 4.17679044] -5.491151014361745 ;\n", + "Epoch 780/1000, Cost: 4.9800\n", + " and the parameters are [-3.0957157 4.17660526] -5.491201508503744 ;\n", + "Epoch 780/1000, Cost: 3.5775\n", + " and the parameters are [-3.09573824 4.1765024 ] -5.491288324071587 ;\n", + "Epoch 780/1000, Cost: 3.6722\n", + " and the parameters are [-3.09575199 4.17660188] -5.491231141867582 ;\n", + "Epoch 780/1000, Cost: 1.4138\n", + " and the parameters are [-3.09576596 4.1766096 ] -5.4912415707016065 ;\n", + "Epoch 780/1000, Cost: 1.4512\n", + " and the parameters are [-3.09578222 4.1766 ] -5.491261950589606 ;\n", + "Epoch 780/1000, Cost: 1.5201\n", + " and the parameters are [-3.09580023 4.17661741] -5.491260101662249 ;\n", + "Epoch 780/1000, Cost: 1.9376\n", + " and the parameters are [-3.09580052 4.17665709] -5.491257374076506 ;\n", + "Epoch 780/1000, Cost: 1.3647\n", + " and the parameters are [-3.09576878 4.17670105] -5.491261387768433 ;\n", + "Epoch 780/1000, Cost: 1.4671\n", + " and the parameters are [-3.09577708 4.17669446] -5.491282575833893 ;\n", + "Epoch 780/1000, Cost: 3.5208\n", + " and the parameters are [-3.09587144 4.17655016] -5.491334988221754 ;\n", + "Epoch 780/1000, Cost: 2.5637\n", + " and the parameters are [-3.09587228 4.17646566] -5.491416923226355 ;\n", + "Epoch 780/1000, Cost: 1.7387\n", + " and the parameters are [-3.09591841 4.1764207 ] -5.491449170754649 ;\n", + "Epoch 780/1000, Cost: 1.6334\n", + " and the parameters are [-3.09587646 4.17643622] -5.4914856436669055 ;\n", + "Epoch 780/1000, Cost: 1.9064\n", + " and the parameters are [-3.0959214 4.17645654] -5.491466632687141 ;\n", + "Epoch 780/1000, Cost: 3.6688\n", + " and the parameters are [-3.09588695 4.17643284] -5.491511202578019 ;\n", + "Epoch 780/1000, Cost: 1.5793\n", + " and the parameters are [-3.09592753 4.17637423] -5.491555045842451 ;\n", + "Epoch 780/1000, Cost: 4.3053\n", + " and the parameters are [-3.09592325 4.1763567 ] -5.4915811781079915 ;\n", + "Epoch 780/1000, Cost: 1.6805\n", + " and the parameters are [-3.09592613 4.17638628] -5.491581331559672 ;\n", + "Epoch 780/1000, Cost: 2.3755\n", + " and the parameters are [-3.09594403 4.17641485] -5.491572654268112 ;\n", + "Epoch 780/1000, Cost: 1.4921\n", + " and the parameters are [-3.09592908 4.17644426] -5.491583611257212 ;\n", + "Epoch 780/1000, Cost: 2.7614\n", + " and the parameters are [-3.09591712 4.17643782] -5.491628008576571 ;\n", + "Epoch 780/1000, Cost: 2.7097\n", + " and the parameters are [-3.09587238 4.17660053] -5.491555954359683 ;\n", + "Epoch 780/1000, Cost: 1.2880\n", + " and the parameters are [-3.09588063 4.17662618] -5.491557492782546 ;\n", + "Epoch 780/1000, Cost: 4.1029\n", + " and the parameters are [-3.09588294 4.17653927] -5.491629789226792 ;\n", + "Epoch 780/1000, Cost: 1.1612\n", + " and the parameters are [-3.09587302 4.17660608] -5.491608827512477 ;\n", + "Epoch 780/1000, Cost: 0.9989\n", + " and the parameters are [-3.09585761 4.17669164] -5.491572454153207 ;\n", + "Epoch 780/1000, Cost: 1.3023\n", + " and the parameters are [-3.09584988 4.17671799] -5.491579749004165 ;\n", + "Epoch 780/1000, Cost: 4.6482\n", + " and the parameters are [-3.09596685 4.17651493] -5.491668843480155 ;\n", + "Epoch 780/1000, Cost: 3.4308\n", + " and the parameters are [-3.09589209 4.17647691] -5.491767770631362 ;\n", + "Epoch 780/1000, Cost: 0.9930\n", + " and the parameters are [-3.09592558 4.17645288] -5.491782726242241 ;\n", + "Epoch 780/1000, Cost: 2.0928\n", + " and the parameters are [-3.09586483 4.17652551] -5.491789451221684 ;\n", + "Epoch 780/1000, Cost: 1.5501\n", + " and the parameters are [-3.09586447 4.17652023] -5.491819809513323 ;\n", + "Epoch 780/1000, Cost: 3.1729\n", + " and the parameters are [-3.0959132 4.17660924] -5.491763713998238 ;\n", + "Epoch 780/1000, Cost: 2.0373\n", + " and the parameters are [-3.09595545 4.17655454] -5.4918030586685616 ;\n", + "Epoch 780/1000, Cost: 2.9651\n", + " and the parameters are [-3.09595301 4.17655789] -5.491834972813401 ;\n", + "Epoch 780/1000, Cost: 4.0506\n", + " and the parameters are [-3.09591777 4.17652509] -5.49188947947156 ;\n", + "Epoch 780/1000, Cost: 1.7630\n", + " and the parameters are [-3.09585348 4.17658157] -5.491897126278979 ;\n", + "Epoch 780/1000, Cost: 2.1843\n", + " and the parameters are [-3.09587761 4.17666194] -5.491844502500766 ;\n", + "Epoch 780/1000, Cost: 1.4349\n", + " and the parameters are [-3.09586945 4.17668163] -5.491862209859278 ;\n", + "Epoch 780/1000, Cost: 2.5622\n", + " and the parameters are [-3.09583488 4.17668508] -5.491895827560059 ;\n", + "Epoch 780/1000, Cost: 3.0347\n", + " and the parameters are [-3.09581595 4.17674395] -5.4918904706735345 ;\n", + "Epoch 780/1000, Cost: 3.5386\n", + " and the parameters are [-3.09589352 4.17659498] -5.49197573911213 ;\n", + "Epoch 780/1000, Cost: 4.2186\n", + " and the parameters are [-3.09599466 4.17649346] -5.491999045147209 ;\n", + "Epoch 780/1000, Cost: 1.5893\n", + " and the parameters are [-3.09603854 4.17644305] -5.492034756287041 ;\n", + "Epoch 780/1000, Cost: 4.1746\n", + " and the parameters are [-3.09606741 4.17653538] -5.491977729109793 ;\n", + "Epoch 780/1000, Cost: 4.3483\n", + " and the parameters are [-3.09611296 4.17648664] -5.49201784822408 ;\n", + "Epoch 780/1000, Cost: 3.1521\n", + " and the parameters are [-3.09609951 4.17660219] -5.491961704765468 ;\n", + "Epoch 780/1000, Cost: 3.8745\n", + " and the parameters are [-3.09608232 4.17656994] -5.492007257790918 ;\n", + "Epoch 780/1000, Cost: 7.3340\n", + " and the parameters are [-3.09603736 4.17664903] -5.491942314810852 ;\n", + "Epoch 780/1000, Cost: 3.7812\n", + " and the parameters are [-3.09607715 4.1765478 ] -5.4920169000381795 ;\n", + "Epoch 780/1000, Cost: 1.4888\n", + " and the parameters are [-3.09607252 4.17656448] -5.492035710760744 ;\n", + "Epoch 780/1000, Cost: 4.9571\n", + " and the parameters are [-3.09604639 4.17657205] -5.4920570465757494 ;\n", + "Epoch 780/1000, Cost: 5.9757\n", + " and the parameters are [-3.09590009 4.17668471] -5.4920378329940265 ;\n", + "Epoch 780/1000, Cost: 2.1282\n", + " and the parameters are [-3.0959118 4.17672898] -5.492018240763371 ;\n", + "Epoch 780/1000, Cost: 2.7223\n", + " and the parameters are [-3.0959584 4.17673677] -5.492009613359072 ;\n", + "Epoch 780/1000, Cost: 1.1190\n", + " and the parameters are [-3.09595612 4.17678605] -5.491992419772368 ;\n", + "Epoch 780/1000, Cost: 4.4577\n", + " and the parameters are [-3.09587155 4.17681432] -5.492019856332566 ;\n", + "Epoch 780/1000, Cost: 2.2196\n", + " and the parameters are [-3.09594715 4.17668358] -5.492100133755542 ;\n", + "Epoch 780/1000, Cost: 2.5511\n", + " and the parameters are [-3.09596458 4.17667903] -5.49213147277315 ;\n", + "Epoch 780/1000, Cost: 3.8407\n", + " and the parameters are [-3.09598905 4.17658176] -5.492216416085351 ;\n", + "Epoch 780/1000, Cost: 2.6883\n", + " and the parameters are [-3.09595582 4.17665232] -5.4922146410537165 ;\n", + "Epoch 780/1000, Cost: 2.5414\n", + " and the parameters are [-3.09595312 4.17668785] -5.492217112502083 ;\n", + "Epoch 780/1000, Cost: 1.8256\n", + " and the parameters are [-3.09597756 4.17667847] -5.4922306329147785 ;\n", + "Epoch 780/1000, Cost: 1.0905\n", + " and the parameters are [-3.0960151 4.17666952] -5.492239778297111 ;\n", + "Epoch 780/1000, Cost: 3.2539\n", + " and the parameters are [-3.09599476 4.17680575] -5.492162304608082 ;\n", + "Epoch 780/1000, Cost: 2.3854\n", + " and the parameters are [-3.09601345 4.17679486] -5.492184483437482 ;\n", + "Epoch 780/1000, Cost: 2.8119\n", + " and the parameters are [-3.09601518 4.17683534] -5.492187442248734 ;\n", + "Epoch 780/1000, Cost: 3.0388\n", + " and the parameters are [-3.09597698 4.17692811] -5.492161214005904 ;\n", + "Epoch 780/1000, Cost: 0.8652\n", + " and the parameters are [-3.09599813 4.17695835] -5.492145830146277 ;\n", + "Epoch 780/1000, Cost: 3.3031\n", + " and the parameters are [-3.0959636 4.17702842] -5.4921381656248665 ;\n", + "Epoch 780/1000, Cost: 3.9271\n", + " and the parameters are [-3.09602425 4.17695389] -5.49216071084669 ;\n", + "Epoch 780/1000, Cost: 2.2206\n", + " and the parameters are [-3.09600591 4.17698563] -5.49217143919963 ;\n", + "Epoch 780/1000, Cost: 7.4446\n", + " and the parameters are [-3.09614553 4.17672799] -5.492294707218151 ;\n", + "Epoch 780/1000, Cost: 1.5368\n", + " and the parameters are [-3.09610811 4.17671045] -5.492343711202073 ;\n", + "Epoch 780/1000, Cost: 2.7486\n", + " and the parameters are [-3.09612632 4.17663149] -5.4924184022736515 ;\n", + "Epoch 780/1000, Cost: 5.3571\n", + " and the parameters are [-3.0961309 4.1766746] -5.492380202210121 ;\n", + "Epoch 780/1000, Cost: 2.6893\n", + " and the parameters are [-3.0961592 4.17665542] -5.492408039318643 ;\n", + "Epoch 780/1000, Cost: 1.3840\n", + " and the parameters are [-3.09616041 4.17672775] -5.492375493745013 ;\n", + "Epoch 780/1000, Cost: 3.3026\n", + " and the parameters are [-3.09619983 4.17674546] -5.492343709797861 ;\n", + "Epoch 780/1000, Cost: 2.1086\n", + " and the parameters are [-3.09619407 4.17682079] -5.492311806562081 ;\n", + "Epoch 780/1000, Cost: 2.9970\n", + " and the parameters are [-3.09616157 4.17681218] -5.492346202795271 ;\n", + "Epoch 780/1000, Cost: 1.6546\n", + " and the parameters are [-3.09621286 4.17679108] -5.49234841839592 ;\n", + "Epoch 780/1000, Cost: 5.1608\n", + " and the parameters are [-3.09613375 4.17697254] -5.492256042902863 ;\n", + "Epoch 780/1000, Cost: 2.3403\n", + " and the parameters are [-3.09611088 4.17698647] -5.492282813263749 ;\n", + "Epoch 780/1000, Cost: 3.6373\n", + " and the parameters are [-3.09613923 4.17706914] -5.492214524429407 ;\n", + "Epoch 780/1000, Cost: 1.8190\n", + " and the parameters are [-3.09612341 4.17710393] -5.492221949318104 ;\n", + "Epoch 780/1000, Cost: 4.9910\n", + " and the parameters are [-3.0961337 4.17710987] -5.492216742142986 ;\n", + "Epoch 780/1000, Cost: 2.1351\n", + " and the parameters are [-3.09613227 4.17715785] -5.4922025811704165 ;\n", + "Epoch 780/1000, Cost: 2.8786\n", + " and the parameters are [-3.09612566 4.17724555] -5.49216767710566 ;\n", + "Epoch 780/1000, Cost: 6.9010\n", + " and the parameters are [-3.09607772 4.17726289] -5.492151761210455 ;\n", + "Epoch 780/1000, Cost: 2.3902\n", + " and the parameters are [-3.09604965 4.1772658 ] -5.492194852547688 ;\n", + "Epoch 780/1000, Cost: 8.5718\n", + " and the parameters are [-3.09597982 4.17732057] -5.49216155573454 ;\n", + "Epoch 780/1000, Cost: 2.6070\n", + " and the parameters are [-3.09595437 4.17734496] -5.492181932614075 ;\n", + "Epoch 780/1000, Cost: 2.3395\n", + " and the parameters are [-3.09596585 4.17739842] -5.492156866362638 ;\n", + "Epoch 780/1000, Cost: 1.3952\n", + " and the parameters are [-3.09598646 4.17736714] -5.492183111604235 ;\n", + "Epoch 780/1000, Cost: 2.9545\n", + " and the parameters are [-3.09597025 4.17749608] -5.492107837378058 ;\n", + "Epoch 780/1000, Cost: 3.6262\n", + " and the parameters are [-3.09599536 4.17749193] -5.492104376569894 ;\n", + "Epoch 780/1000, Cost: 3.6932\n", + " and the parameters are [-3.09602349 4.1774427 ] -5.492147181658384 ;\n", + "Epoch 780/1000, Cost: 5.5650\n", + " and the parameters are [-3.09604671 4.17733496] -5.492211184226831 ;\n", + "Epoch 780/1000, Cost: 1.0259\n", + " and the parameters are [-3.09602675 4.17735688] -5.492224743322967 ;\n", + "Epoch 780/1000, Cost: 2.8885\n", + " and the parameters are [-3.09609502 4.17728977] -5.492259022269797 ;\n", + "Epoch 780/1000, Cost: 2.5017\n", + " and the parameters are [-3.09610219 4.1772918 ] -5.492270908471218 ;\n", + "Epoch 780/1000, Cost: 4.9124\n", + " and the parameters are [-3.096175 4.17712829] -5.492379048991917 ;\n", + "Epoch 780/1000, Cost: 4.9255\n", + " and the parameters are [-3.09614059 4.1772587 ] -5.492293730057785 ;\n", + "Epoch 780/1000, Cost: 3.6774\n", + " and the parameters are [-3.09605283 4.17743579] -5.4922273805472885 ;\n", + "Epoch 780/1000, Cost: 7.0043\n", + " and the parameters are [-3.09610454 4.17732847] -5.492287881312115 ;\n", + "Epoch 780/1000, Cost: 2.9642\n", + " and the parameters are [-3.09605218 4.1773636 ] -5.492295094649294 ;\n", + "Epoch 780/1000, Cost: 4.2101\n", + " and the parameters are [-3.0962182 4.17728567] -5.492275903714418 ;\n", + "Epoch 780/1000, Cost: 1.1591\n", + " and the parameters are [-3.09621335 4.1772945 ] -5.492296744452642 ;\n", + "Epoch 790/1000, Cost: 3.8660\n", + " and the parameters are [-3.10543687 4.18869952] -5.508825973475143 ;\n", + "Epoch 790/1000, Cost: 2.8226\n", + " and the parameters are [-3.10544733 4.18874309] -5.508795317216912 ;\n", + "Epoch 790/1000, Cost: 1.8886\n", + " and the parameters are [-3.10545983 4.18869221] -5.508848861748816 ;\n", + "Epoch 790/1000, Cost: 4.7333\n", + " and the parameters are [-3.10537095 4.18874148] -5.508859377755919 ;\n", + "Epoch 790/1000, Cost: 3.8437\n", + " and the parameters are [-3.10542745 4.18885371] -5.5087708750390885 ;\n", + "Epoch 790/1000, Cost: 1.2603\n", + " and the parameters are [-3.10542076 4.18890287] -5.508763152542255 ;\n", + "Epoch 790/1000, Cost: 5.3762\n", + " and the parameters are [-3.10542828 4.18894583] -5.508714578272991 ;\n", + "Epoch 790/1000, Cost: 5.6620\n", + " and the parameters are [-3.10533135 4.18886634] -5.50884311997235 ;\n", + "Epoch 790/1000, Cost: 2.8914\n", + " and the parameters are [-3.10539946 4.18889478] -5.508825846635894 ;\n", + "Epoch 790/1000, Cost: 0.6227\n", + " and the parameters are [-3.10540113 4.18893217] -5.5088144314526035 ;\n", + "Epoch 790/1000, Cost: 3.1315\n", + " and the parameters are [-3.10546986 4.18893632] -5.508798054401954 ;\n", + "Epoch 790/1000, Cost: 1.2462\n", + " and the parameters are [-3.10548421 4.18898071] -5.508777272657975 ;\n", + "Epoch 790/1000, Cost: 2.1285\n", + " and the parameters are [-3.10552724 4.18906603] -5.508709429904182 ;\n", + "Epoch 790/1000, Cost: 3.5712\n", + " and the parameters are [-3.10554784 4.18911975] -5.508671741230389 ;\n", + "Epoch 790/1000, Cost: 1.2477\n", + " and the parameters are [-3.10553244 4.18912678] -5.508700063917895 ;\n", + "Epoch 790/1000, Cost: 2.4072\n", + " and the parameters are [-3.10558793 4.18915785] -5.508668801156551 ;\n", + "Epoch 790/1000, Cost: 5.2095\n", + " and the parameters are [-3.10554804 4.1891182 ] -5.508734894367789 ;\n", + "Epoch 790/1000, Cost: 2.5365\n", + " and the parameters are [-3.10553908 4.18914024] -5.508754776106227 ;\n", + "Epoch 790/1000, Cost: 2.3808\n", + " and the parameters are [-3.10555416 4.18917235] -5.50874691801513 ;\n", + "Epoch 790/1000, Cost: 4.9614\n", + " and the parameters are [-3.10552358 4.18918968] -5.508783243568764 ;\n", + "Epoch 790/1000, Cost: 1.4812\n", + " and the parameters are [-3.10555804 4.18921477] -5.508760981201355 ;\n", + "Epoch 790/1000, Cost: 4.3905\n", + " and the parameters are [-3.10565237 4.18913975] -5.50877295518674 ;\n", + "Epoch 790/1000, Cost: 3.1710\n", + " and the parameters are [-3.10567072 4.18915692] -5.508763442507201 ;\n", + "Epoch 790/1000, Cost: 1.4272\n", + " and the parameters are [-3.10575503 4.18911341] -5.508774318241121 ;\n", + "Epoch 790/1000, Cost: 1.5290\n", + " and the parameters are [-3.10574874 4.18912627] -5.508793633131476 ;\n", + "Epoch 790/1000, Cost: 1.7420\n", + " and the parameters are [-3.10576989 4.18907394] -5.5088283487566825 ;\n", + "Epoch 790/1000, Cost: 1.0786\n", + " and the parameters are [-3.10578202 4.18912738] -5.508800152983505 ;\n", + "Epoch 790/1000, Cost: 3.1357\n", + " and the parameters are [-3.1057414 4.18916279] -5.508812983853145 ;\n", + "Epoch 790/1000, Cost: 2.1961\n", + " and the parameters are [-3.10578045 4.18911867] -5.508851758472701 ;\n", + "Epoch 790/1000, Cost: 3.4577\n", + " and the parameters are [-3.1058078 4.1891264] -5.508853323869632 ;\n", + "Epoch 790/1000, Cost: 0.8920\n", + " and the parameters are [-3.10580822 4.18918459] -5.508827235000216 ;\n", + "Epoch 790/1000, Cost: 1.5346\n", + " and the parameters are [-3.10582361 4.18919985] -5.508832502044986 ;\n", + "Epoch 790/1000, Cost: 1.2434\n", + " and the parameters are [-3.10579838 4.18919647] -5.508862124371731 ;\n", + "Epoch 790/1000, Cost: 3.1417\n", + " and the parameters are [-3.10586047 4.18923759] -5.508826684521059 ;\n", + "Epoch 790/1000, Cost: 2.4941\n", + " and the parameters are [-3.10584274 4.18922509] -5.50885931917201 ;\n", + "Epoch 790/1000, Cost: 1.8621\n", + " and the parameters are [-3.10584379 4.18932355] -5.508798232837661 ;\n", + "Epoch 790/1000, Cost: 2.2199\n", + " and the parameters are [-3.10579228 4.18939001] -5.508808052559698 ;\n", + "Epoch 790/1000, Cost: 1.5111\n", + " and the parameters are [-3.10583779 4.18937809] -5.508817879866843 ;\n", + "Epoch 790/1000, Cost: 5.5894\n", + " and the parameters are [-3.10582615 4.18922211] -5.508937003502161 ;\n", + "Epoch 790/1000, Cost: 5.7163\n", + " and the parameters are [-3.10576964 4.18920865] -5.508984776247312 ;\n", + "Epoch 790/1000, Cost: 2.6707\n", + " and the parameters are [-3.1058092 4.18916566] -5.50901518755791 ;\n", + "Epoch 790/1000, Cost: 4.5570\n", + " and the parameters are [-3.10584634 4.18903095] -5.509103374544679 ;\n", + "Epoch 790/1000, Cost: 1.4449\n", + " and the parameters are [-3.10583915 4.18905752] -5.509113825589541 ;\n", + "Epoch 790/1000, Cost: 2.3884\n", + " and the parameters are [-3.10586727 4.18915277] -5.509045105262457 ;\n", + "Epoch 790/1000, Cost: 3.0500\n", + " and the parameters are [-3.1058891 4.18905262] -5.5091270463993505 ;\n", + "Epoch 790/1000, Cost: 1.3253\n", + " and the parameters are [-3.1059066 4.18907102] -5.509127003907917 ;\n", + "Epoch 790/1000, Cost: 2.0518\n", + " and the parameters are [-3.10591848 4.1891305 ] -5.509096667928556 ;\n", + "Epoch 790/1000, Cost: 2.6152\n", + " and the parameters are [-3.10597943 4.1891114 ] -5.509097533758554 ;\n", + "Epoch 790/1000, Cost: 2.0951\n", + " and the parameters are [-3.10601758 4.18911345] -5.509099144396782 ;\n", + "Epoch 790/1000, Cost: 2.2173\n", + " and the parameters are [-3.10601447 4.18909611] -5.509117957625871 ;\n", + "Epoch 790/1000, Cost: 2.3124\n", + " and the parameters are [-3.10598173 4.18906519] -5.509190391378925 ;\n", + "Epoch 790/1000, Cost: 1.0521\n", + " and the parameters are [-3.10599736 4.18909438] -5.509183536316067 ;\n", + "Epoch 790/1000, Cost: 1.9383\n", + " and the parameters are [-3.10597081 4.18906835] -5.509234123215229 ;\n", + "Epoch 790/1000, Cost: 1.7962\n", + " and the parameters are [-3.10606308 4.18897799] -5.509271706564217 ;\n", + "Epoch 790/1000, Cost: 2.6962\n", + " and the parameters are [-3.10596421 4.18899293] -5.509337747665896 ;\n", + "Epoch 790/1000, Cost: 2.0125\n", + " and the parameters are [-3.10597533 4.18901365] -5.509340525679194 ;\n", + "Epoch 790/1000, Cost: 2.2484\n", + " and the parameters are [-3.10600139 4.18899151] -5.50937642609603 ;\n", + "Epoch 790/1000, Cost: 0.8931\n", + " and the parameters are [-3.1060116 4.18900715] -5.509377920604232 ;\n", + "Epoch 790/1000, Cost: 2.0481\n", + " and the parameters are [-3.10602603 4.18898625] -5.509417138640696 ;\n", + "Epoch 790/1000, Cost: 1.8294\n", + " and the parameters are [-3.1060599 4.18904641] -5.509375587387731 ;\n", + "Epoch 790/1000, Cost: 2.0826\n", + " and the parameters are [-3.10603408 4.18910839] -5.509373643657838 ;\n", + "Epoch 790/1000, Cost: 6.0312\n", + " and the parameters are [-3.10605707 4.1891363 ] -5.509343331116344 ;\n", + "Epoch 790/1000, Cost: 2.4893\n", + " and the parameters are [-3.10602722 4.1892731 ] -5.509274440527835 ;\n", + "Epoch 790/1000, Cost: 2.1985\n", + " and the parameters are [-3.106034 4.1892311] -5.509324341919414 ;\n", + "Epoch 790/1000, Cost: 4.9809\n", + " and the parameters are [-3.106057 4.18919762] -5.509324438457939 ;\n", + "Epoch 790/1000, Cost: 1.8590\n", + " and the parameters are [-3.10606474 4.18928507] -5.509278928667117 ;\n", + "Epoch 790/1000, Cost: 1.7405\n", + " and the parameters are [-3.10609084 4.18925633] -5.509304787912852 ;\n", + "Epoch 790/1000, Cost: 1.5290\n", + " and the parameters are [-3.10611239 4.18925816] -5.509317832963616 ;\n", + "Epoch 790/1000, Cost: 2.6262\n", + " and the parameters are [-3.10610979 4.1894126 ] -5.509223409675749 ;\n", + "Epoch 790/1000, Cost: 1.1149\n", + " and the parameters are [-3.10612043 4.18942045] -5.509235309524995 ;\n", + "Epoch 790/1000, Cost: 4.4645\n", + " and the parameters are [-3.10623741 4.18940603] -5.509199076017437 ;\n", + "Epoch 790/1000, Cost: 1.2926\n", + " and the parameters are [-3.10624539 4.18945778] -5.50917885360734 ;\n", + "Epoch 790/1000, Cost: 2.7972\n", + " and the parameters are [-3.10620253 4.1894712 ] -5.509212806641279 ;\n", + "Epoch 790/1000, Cost: 9.6206\n", + " and the parameters are [-3.10635129 4.18937007] -5.509171963482352 ;\n", + "Epoch 790/1000, Cost: 1.8031\n", + " and the parameters are [-3.10633307 4.18938943] -5.509193556453991 ;\n", + "Epoch 790/1000, Cost: 6.8411\n", + " and the parameters are [-3.10638891 4.18918508] -5.5093145475828225 ;\n", + "Epoch 790/1000, Cost: 4.7589\n", + " and the parameters are [-3.10637713 4.18924946] -5.509291489226783 ;\n", + "Epoch 790/1000, Cost: 1.3388\n", + " and the parameters are [-3.10638481 4.18923524] -5.509316940196639 ;\n", + "Epoch 790/1000, Cost: 2.3104\n", + " and the parameters are [-3.10642468 4.18928443] -5.509266859222593 ;\n", + "Epoch 790/1000, Cost: 1.7023\n", + " and the parameters are [-3.10647743 4.18927746] -5.5092674787054685 ;\n", + "Epoch 790/1000, Cost: 1.8756\n", + " and the parameters are [-3.10650163 4.18923118] -5.509314991928552 ;\n", + "Epoch 790/1000, Cost: 4.6623\n", + " and the parameters are [-3.10650714 4.18911663] -5.509414215091712 ;\n", + "Epoch 790/1000, Cost: 4.4587\n", + " and the parameters are [-3.10650685 4.1890373 ] -5.509479090140274 ;\n", + "Epoch 790/1000, Cost: 4.3449\n", + " and the parameters are [-3.10647991 4.18895356] -5.509580506744173 ;\n", + "Epoch 790/1000, Cost: 1.4824\n", + " and the parameters are [-3.10643734 4.18899626] -5.509592561696243 ;\n", + "Epoch 790/1000, Cost: 6.2890\n", + " and the parameters are [-3.10643164 4.18886138] -5.50968758789561 ;\n", + "Epoch 790/1000, Cost: 1.4702\n", + " and the parameters are [-3.10645511 4.18888367] -5.509690573781857 ;\n", + "Epoch 790/1000, Cost: 2.9294\n", + " and the parameters are [-3.1064081 4.18895242] -5.509683369205974 ;\n", + "Epoch 790/1000, Cost: 4.8834\n", + " and the parameters are [-3.10642113 4.18899314] -5.509641529694811 ;\n", + "Epoch 790/1000, Cost: 2.4597\n", + " and the parameters are [-3.10642849 4.18907191] -5.509601479722282 ;\n", + "Epoch 790/1000, Cost: 2.5431\n", + " and the parameters are [-3.10643272 4.18907367] -5.509625752188834 ;\n", + "Epoch 790/1000, Cost: 2.5484\n", + " and the parameters are [-3.10644978 4.18898313] -5.509701737084058 ;\n", + "Epoch 790/1000, Cost: 1.7207\n", + " and the parameters are [-3.10648707 4.18899066] -5.509694812964877 ;\n", + "Epoch 790/1000, Cost: 1.6450\n", + " and the parameters are [-3.10651127 4.18896713] -5.509726148674553 ;\n", + "Epoch 790/1000, Cost: 3.0431\n", + " and the parameters are [-3.10648158 4.1889071 ] -5.509797839061954 ;\n", + "Epoch 790/1000, Cost: 2.3889\n", + " and the parameters are [-3.10650403 4.18891234] -5.509808053382755 ;\n", + "Epoch 790/1000, Cost: 2.9068\n", + " and the parameters are [-3.10654229 4.18883177] -5.509862649429182 ;\n", + "Epoch 790/1000, Cost: 2.6769\n", + " and the parameters are [-3.10654306 4.18883892] -5.509879599718376 ;\n", + "Epoch 790/1000, Cost: 1.2289\n", + " and the parameters are [-3.10655414 4.18883147] -5.509902714695577 ;\n", + "Epoch 790/1000, Cost: 2.4246\n", + " and the parameters are [-3.10656299 4.18883099] -5.509924540992161 ;\n", + "Epoch 790/1000, Cost: 0.6902\n", + " and the parameters are [-3.10656933 4.18885264] -5.509920403617872 ;\n", + "Epoch 790/1000, Cost: 6.4353\n", + " and the parameters are [-3.10668401 4.18878795] -5.509905024576694 ;\n", + "Epoch 790/1000, Cost: 2.4051\n", + " and the parameters are [-3.10664593 4.18891094] -5.509857186208547 ;\n", + "Epoch 790/1000, Cost: 4.2202\n", + " and the parameters are [-3.10665139 4.1888006 ] -5.509933282823964 ;\n", + "Epoch 790/1000, Cost: 4.6821\n", + " and the parameters are [-3.10662643 4.18883252] -5.509933671705169 ;\n", + "Epoch 790/1000, Cost: 2.6766\n", + " and the parameters are [-3.10665268 4.18874959] -5.5100111381692525 ;\n", + "Epoch 790/1000, Cost: 2.1657\n", + " and the parameters are [-3.10671332 4.18874934] -5.510002439526904 ;\n", + "Epoch 790/1000, Cost: 2.8136\n", + " and the parameters are [-3.10669536 4.18876295] -5.510029344325177 ;\n", + "Epoch 790/1000, Cost: 2.5316\n", + " and the parameters are [-3.10670505 4.18884745] -5.5099980070525865 ;\n", + "Epoch 790/1000, Cost: 3.4835\n", + " and the parameters are [-3.10658651 4.18893737] -5.510029626457322 ;\n", + "Epoch 790/1000, Cost: 2.5891\n", + " and the parameters are [-3.10656364 4.18891624] -5.5100728268459305 ;\n", + "Epoch 790/1000, Cost: 1.9394\n", + " and the parameters are [-3.10658962 4.18889184] -5.510109731681093 ;\n", + "Epoch 790/1000, Cost: 1.3107\n", + " and the parameters are [-3.10660031 4.18886325] -5.510150209166593 ;\n", + "Epoch 790/1000, Cost: 1.4080\n", + " and the parameters are [-3.10659104 4.18890081] -5.510151688539014 ;\n", + "Epoch 790/1000, Cost: 4.9437\n", + " and the parameters are [-3.10650939 4.18898623] -5.510134487532698 ;\n", + "Epoch 790/1000, Cost: 2.2050\n", + " and the parameters are [-3.10648244 4.18897615] -5.510176219807059 ;\n", + "Epoch 790/1000, Cost: 2.4804\n", + " and the parameters are [-3.10649483 4.18895492] -5.510205246233583 ;\n", + "Epoch 790/1000, Cost: 2.7345\n", + " and the parameters are [-3.10649488 4.1889864 ] -5.510202291576155 ;\n", + "Epoch 790/1000, Cost: 4.8654\n", + " and the parameters are [-3.10658677 4.18887007] -5.510237176085473 ;\n", + "Epoch 790/1000, Cost: 2.8729\n", + " and the parameters are [-3.10665804 4.18891389] -5.510174062483156 ;\n", + "Epoch 790/1000, Cost: 1.0450\n", + " and the parameters are [-3.10662519 4.18893519] -5.510195471680553 ;\n", + "Epoch 790/1000, Cost: 2.1000\n", + " and the parameters are [-3.10658804 4.18895073] -5.510215424226109 ;\n", + "Epoch 790/1000, Cost: 1.8745\n", + " and the parameters are [-3.10658728 4.18897204] -5.510228976373724 ;\n", + "Epoch 790/1000, Cost: 3.8975\n", + " and the parameters are [-3.10656744 4.1889869 ] -5.510232115109423 ;\n", + "Epoch 790/1000, Cost: 4.6557\n", + " and the parameters are [-3.10653615 4.18905717] -5.510202384498188 ;\n", + "Epoch 790/1000, Cost: 4.6904\n", + " and the parameters are [-3.10650775 4.18920252] -5.510119428203246 ;\n", + "Epoch 790/1000, Cost: 4.8292\n", + " and the parameters are [-3.10653243 4.18934238] -5.509998481156539 ;\n", + "Epoch 790/1000, Cost: 5.4770\n", + " and the parameters are [-3.10643093 4.18937 ] -5.510035378750904 ;\n", + "Epoch 790/1000, Cost: 2.4157\n", + " and the parameters are [-3.10641082 4.18939823] -5.510056569982332 ;\n", + "Epoch 790/1000, Cost: 3.9253\n", + " and the parameters are [-3.10640304 4.18930654] -5.510150479642529 ;\n", + "Epoch 790/1000, Cost: 2.9399\n", + " and the parameters are [-3.10636878 4.18940543] -5.510115519144742 ;\n", + "Epoch 790/1000, Cost: 1.9956\n", + " and the parameters are [-3.10633808 4.18949244] -5.510085365486971 ;\n", + "Epoch 790/1000, Cost: 1.7366\n", + " and the parameters are [-3.1063227 4.18950248] -5.510110143287192 ;\n", + "Epoch 790/1000, Cost: 3.6220\n", + " and the parameters are [-3.10635435 4.189489 ] -5.510112991304039 ;\n", + "Epoch 790/1000, Cost: 6.8157\n", + " and the parameters are [-3.10638624 4.18943505] -5.510119681513451 ;\n", + "Epoch 790/1000, Cost: 2.1825\n", + " and the parameters are [-3.10642285 4.18944234] -5.510113422153791 ;\n", + "Epoch 790/1000, Cost: 3.9227\n", + " and the parameters are [-3.10651892 4.18926492] -5.510217203507267 ;\n", + "Epoch 790/1000, Cost: 4.1843\n", + " and the parameters are [-3.10652808 4.18930762] -5.510194586008131 ;\n", + "Epoch 790/1000, Cost: 2.8163\n", + " and the parameters are [-3.10651397 4.18925992] -5.510261170122206 ;\n", + "Epoch 790/1000, Cost: 5.1290\n", + " and the parameters are [-3.10653995 4.18918167] -5.510314418313022 ;\n", + "Epoch 790/1000, Cost: 1.5011\n", + " and the parameters are [-3.1065417 4.18924471] -5.510282661168247 ;\n", + "Epoch 790/1000, Cost: 2.3758\n", + " and the parameters are [-3.10656724 4.18918257] -5.510323913210602 ;\n", + "Epoch 790/1000, Cost: 3.6555\n", + " and the parameters are [-3.10654286 4.18915474] -5.510376868067132 ;\n", + "Epoch 790/1000, Cost: 2.3890\n", + " and the parameters are [-3.10657765 4.18909516] -5.5104265421576955 ;\n", + "Epoch 790/1000, Cost: 2.2942\n", + " and the parameters are [-3.10654618 4.18914739] -5.5104313944668855 ;\n", + "Epoch 790/1000, Cost: 6.9058\n", + " and the parameters are [-3.1066287 4.18926711] -5.510287047091277 ;\n", + "Epoch 790/1000, Cost: 2.4466\n", + " and the parameters are [-3.10657806 4.18937638] -5.5102438631703 ;\n", + "Epoch 790/1000, Cost: 1.6153\n", + " and the parameters are [-3.10658187 4.18942464] -5.510234268610635 ;\n", + "Epoch 790/1000, Cost: 3.0916\n", + " and the parameters are [-3.10648202 4.18960642] -5.510175604235042 ;\n", + "Epoch 790/1000, Cost: 3.3346\n", + " and the parameters are [-3.10647581 4.18960817] -5.5102021965293835 ;\n", + "Epoch 790/1000, Cost: 2.0269\n", + " and the parameters are [-3.10653121 4.1895985 ] -5.51020495369795 ;\n", + "Epoch 790/1000, Cost: 2.8726\n", + " and the parameters are [-3.1065439 4.18951815] -5.510288711188436 ;\n", + "Epoch 790/1000, Cost: 2.2456\n", + " and the parameters are [-3.10656108 4.18955459] -5.510265449676665 ;\n", + "Epoch 790/1000, Cost: 3.1554\n", + " and the parameters are [-3.10655385 4.18958677] -5.510265017347294 ;\n", + "Epoch 790/1000, Cost: 2.2166\n", + " and the parameters are [-3.10653856 4.18957062] -5.5103136562325625 ;\n", + "Epoch 790/1000, Cost: 2.7484\n", + " and the parameters are [-3.1065531 4.18963783] -5.510277278478632 ;\n", + "Epoch 790/1000, Cost: 1.9168\n", + " and the parameters are [-3.1065224 4.18968324] -5.510284045249627 ;\n", + "Epoch 790/1000, Cost: 2.7617\n", + " and the parameters are [-3.10655313 4.1897168 ] -5.510255280676084 ;\n", + "Epoch 790/1000, Cost: 1.7149\n", + " and the parameters are [-3.10653957 4.18976713] -5.510246139819655 ;\n", + "Epoch 790/1000, Cost: 5.7846\n", + " and the parameters are [-3.10655057 4.18982908] -5.510189602324485 ;\n", + "Epoch 790/1000, Cost: 5.6069\n", + " and the parameters are [-3.10641878 4.18982207] -5.510259189844889 ;\n", + "Epoch 790/1000, Cost: 4.6514\n", + " and the parameters are [-3.10647847 4.18970367] -5.510321756205306 ;\n", + "Epoch 790/1000, Cost: 5.3905\n", + " and the parameters are [-3.10648394 4.18967947] -5.510332499834334 ;\n", + "Epoch 790/1000, Cost: 6.0783\n", + " and the parameters are [-3.10647099 4.18982267] -5.510228448051853 ;\n", + "Epoch 790/1000, Cost: 1.7234\n", + " and the parameters are [-3.10647175 4.1898193 ] -5.510255748774816 ;\n", + "Epoch 790/1000, Cost: 8.7968\n", + " and the parameters are [-3.10638551 4.1899799 ] -5.510146676265551 ;\n", + "Epoch 790/1000, Cost: 3.5765\n", + " and the parameters are [-3.10643345 4.1898236 ] -5.510269116842996 ;\n", + "Epoch 790/1000, Cost: 9.8641\n", + " and the parameters are [-3.10641679 4.18972593] -5.5103197985072505 ;\n", + "Epoch 790/1000, Cost: 1.1471\n", + " and the parameters are [-3.10643609 4.18977598] -5.510296882320616 ;\n", + "Epoch 790/1000, Cost: 2.8831\n", + " and the parameters are [-3.10643601 4.18987578] -5.510248724458363 ;\n", + "Epoch 790/1000, Cost: 8.0865\n", + " and the parameters are [-3.10650858 4.18968032] -5.5103461861134 ;\n", + "Epoch 790/1000, Cost: 8.3789\n", + " and the parameters are [-3.10651031 4.18972454] -5.51027510332349 ;\n", + "Epoch 790/1000, Cost: 7.2749\n", + " and the parameters are [-3.10646463 4.18990423] -5.51014710029084 ;\n", + "Epoch 790/1000, Cost: 3.2878\n", + " and the parameters are [-3.10638054 4.19002439] -5.510132349483422 ;\n", + "Epoch 790/1000, Cost: 2.3518\n", + " and the parameters are [-3.10631717 4.19002927] -5.510191671062798 ;\n", + "Epoch 790/1000, Cost: 3.4124\n", + " and the parameters are [-3.10637337 4.1899653 ] -5.510237114614723 ;\n", + "Epoch 790/1000, Cost: 2.1755\n", + " and the parameters are [-3.10636189 4.19004759] -5.510211755219108 ;\n", + "Epoch 790/1000, Cost: 2.9375\n", + " and the parameters are [-3.10637966 4.18997489] -5.510285091322497 ;\n", + "Epoch 790/1000, Cost: 1.4618\n", + " and the parameters are [-3.10634578 4.19006235] -5.510254502518663 ;\n", + "Epoch 790/1000, Cost: 2.0258\n", + " and the parameters are [-3.10633107 4.19002414] -5.51031942722476 ;\n", + "Epoch 790/1000, Cost: 3.6688\n", + " and the parameters are [-3.10631469 4.18996689] -5.510398760735114 ;\n", + "Epoch 790/1000, Cost: 2.0645\n", + " and the parameters are [-3.10638621 4.1899456 ] -5.510408126935061 ;\n", + "Epoch 790/1000, Cost: 4.1114\n", + " and the parameters are [-3.10635634 4.18995555] -5.510418768851038 ;\n", + "Epoch 790/1000, Cost: 5.0785\n", + " and the parameters are [-3.10637435 4.18983602] -5.51048633430869 ;\n", + "Epoch 790/1000, Cost: 1.2477\n", + " and the parameters are [-3.10639045 4.18982248] -5.510512304145194 ;\n", + "Epoch 790/1000, Cost: 6.1331\n", + " and the parameters are [-3.1063459 4.18991128] -5.5104574094668095 ;\n", + "Epoch 790/1000, Cost: 2.8743\n", + " and the parameters are [-3.10640367 4.18998956] -5.510378491748804 ;\n", + "Epoch 790/1000, Cost: 0.9924\n", + " and the parameters are [-3.10640903 4.19001766] -5.510375774717124 ;\n", + "Epoch 790/1000, Cost: 2.8205\n", + " and the parameters are [-3.10640095 4.19004554] -5.510381243822723 ;\n", + "Epoch 790/1000, Cost: 0.7931\n", + " and the parameters are [-3.10640598 4.19007897] -5.510368412548202 ;\n", + "Epoch 790/1000, Cost: 2.5566\n", + " and the parameters are [-3.10640092 4.19003128] -5.51041381399695 ;\n", + "Epoch 790/1000, Cost: 5.0871\n", + " and the parameters are [-3.10638767 4.19009238] -5.510411363184757 ;\n", + "Epoch 790/1000, Cost: 2.2335\n", + " and the parameters are [-3.10640869 4.19013287] -5.510390849693207 ;\n", + "Epoch 790/1000, Cost: 1.5211\n", + " and the parameters are [-3.10643051 4.1900724 ] -5.51044097977664 ;\n", + "Epoch 790/1000, Cost: 2.7382\n", + " and the parameters are [-3.10643678 4.19011676] -5.510427601963651 ;\n", + "Epoch 790/1000, Cost: 1.4240\n", + " and the parameters are [-3.10647121 4.19012001] -5.51043666945919 ;\n", + "Epoch 790/1000, Cost: 1.5577\n", + " and the parameters are [-3.10649177 4.19006971] -5.510487076147322 ;\n", + "Epoch 790/1000, Cost: 1.4887\n", + " and the parameters are [-3.10649124 4.19005205] -5.510527118715604 ;\n", + "Epoch 790/1000, Cost: 2.9888\n", + " and the parameters are [-3.1064849 4.19000429] -5.510588886877424 ;\n", + "Epoch 790/1000, Cost: 7.0337\n", + " and the parameters are [-3.10644696 4.19008685] -5.5105402399712275 ;\n", + "Epoch 800/1000, Cost: 3.2393\n", + " and the parameters are [-3.11558093 4.20147777] -5.526772464537058 ;\n", + "Epoch 800/1000, Cost: 3.3545\n", + " and the parameters are [-3.11570421 4.20149869] -5.526702266457936 ;\n", + "Epoch 800/1000, Cost: 2.4396\n", + " and the parameters are [-3.11571048 4.20143751] -5.526760019828113 ;\n", + "Epoch 800/1000, Cost: 3.5895\n", + " and the parameters are [-3.11567942 4.20138842] -5.526810769614533 ;\n", + "Epoch 800/1000, Cost: 4.7153\n", + " and the parameters are [-3.11563875 4.20127417] -5.526930352214825 ;\n", + "Epoch 800/1000, Cost: 2.2240\n", + " and the parameters are [-3.11564165 4.20135458] -5.526895974934281 ;\n", + "Epoch 800/1000, Cost: 5.3639\n", + " and the parameters are [-3.11569556 4.20136188] -5.526853296411161 ;\n", + "Epoch 800/1000, Cost: 2.8509\n", + " and the parameters are [-3.11571817 4.20134232] -5.526866407504127 ;\n", + "Epoch 800/1000, Cost: 1.3982\n", + " and the parameters are [-3.11570502 4.2013622 ] -5.526882260440591 ;\n", + "Epoch 800/1000, Cost: 4.7411\n", + " and the parameters are [-3.11578067 4.20133852] -5.526864960338725 ;\n", + "Epoch 800/1000, Cost: 1.8972\n", + " and the parameters are [-3.11573246 4.20145217] -5.52683930276283 ;\n", + "Epoch 800/1000, Cost: 5.9450\n", + " and the parameters are [-3.11571899 4.20135967] -5.526922936413647 ;\n", + "Epoch 800/1000, Cost: 1.6136\n", + " and the parameters are [-3.11571101 4.20140468] -5.526923440182691 ;\n", + "Epoch 800/1000, Cost: 3.0365\n", + " and the parameters are [-3.11562227 4.20156016] -5.526881762295878 ;\n", + "Epoch 800/1000, Cost: 5.5246\n", + " and the parameters are [-3.11562911 4.20155758] -5.52686732305177 ;\n", + "Epoch 800/1000, Cost: 2.2946\n", + " and the parameters are [-3.11559922 4.2015375 ] -5.526923650332204 ;\n", + "Epoch 800/1000, Cost: 3.2833\n", + " and the parameters are [-3.1155844 4.2016731] -5.526843999609947 ;\n", + "Epoch 800/1000, Cost: 5.9443\n", + " and the parameters are [-3.11561681 4.20147764] -5.526980147766625 ;\n", + "Epoch 800/1000, Cost: 1.8240\n", + " and the parameters are [-3.11563536 4.20146445] -5.5269992414234945 ;\n", + "Epoch 800/1000, Cost: 1.8983\n", + " and the parameters are [-3.11565048 4.20151867] -5.526975637329919 ;\n", + "Epoch 800/1000, Cost: 1.9559\n", + " and the parameters are [-3.11568226 4.20149699] -5.526992801492632 ;\n", + "Epoch 800/1000, Cost: 1.6658\n", + " and the parameters are [-3.1157334 4.20144106] -5.527033119570591 ;\n", + "Epoch 800/1000, Cost: 1.9953\n", + " and the parameters are [-3.11567843 4.20143705] -5.527083640152513 ;\n", + "Epoch 800/1000, Cost: 1.9780\n", + " and the parameters are [-3.11569933 4.20147219] -5.527063122282637 ;\n", + "Epoch 800/1000, Cost: 3.1091\n", + " and the parameters are [-3.11557437 4.20148664] -5.527143133278639 ;\n", + "Epoch 800/1000, Cost: 5.2698\n", + " and the parameters are [-3.11558509 4.20150999] -5.527135322314163 ;\n", + "Epoch 800/1000, Cost: 7.1600\n", + " and the parameters are [-3.11565193 4.2012916 ] -5.527260931424917 ;\n", + "Epoch 800/1000, Cost: 0.9398\n", + " and the parameters are [-3.11564479 4.20135612] -5.527231187210214 ;\n", + "Epoch 800/1000, Cost: 6.3204\n", + " and the parameters are [-3.11557192 4.20145013] -5.527216936344789 ;\n", + "Epoch 800/1000, Cost: 3.7117\n", + " and the parameters are [-3.11564261 4.2013039 ] -5.527304377289819 ;\n", + "Epoch 800/1000, Cost: 2.6408\n", + " and the parameters are [-3.11562631 4.20125919] -5.527379774695762 ;\n", + "Epoch 800/1000, Cost: 4.2139\n", + " and the parameters are [-3.11561689 4.20136224] -5.527328890546128 ;\n", + "Epoch 800/1000, Cost: 3.5612\n", + " and the parameters are [-3.1155711 4.20151112] -5.527266503253645 ;\n", + "Epoch 800/1000, Cost: 3.5303\n", + " and the parameters are [-3.11554343 4.20163766] -5.527205622029548 ;\n", + "Epoch 800/1000, Cost: 4.1050\n", + " and the parameters are [-3.11557834 4.20159621] -5.527241382570669 ;\n", + "Epoch 800/1000, Cost: 0.8202\n", + " and the parameters are [-3.11557242 4.20160455] -5.527259878386271 ;\n", + "Epoch 800/1000, Cost: 2.6156\n", + " and the parameters are [-3.11553473 4.20171652] -5.527219203408019 ;\n", + "Epoch 800/1000, Cost: 3.6839\n", + " and the parameters are [-3.1155306 4.20185139] -5.527125293308315 ;\n", + "Epoch 800/1000, Cost: 2.7440\n", + " and the parameters are [-3.11551626 4.20179691] -5.527189256596469 ;\n", + "Epoch 800/1000, Cost: 3.2280\n", + " and the parameters are [-3.11554326 4.2018749 ] -5.5271293371071355 ;\n", + "Epoch 800/1000, Cost: 5.9843\n", + " and the parameters are [-3.11541103 4.20195298] -5.527148446217504 ;\n", + "Epoch 800/1000, Cost: 1.5790\n", + " and the parameters are [-3.11538066 4.20201795] -5.527135435613363 ;\n", + "Epoch 800/1000, Cost: 3.1700\n", + " and the parameters are [-3.11524662 4.20214289] -5.527142872754138 ;\n", + "Epoch 800/1000, Cost: 2.9766\n", + " and the parameters are [-3.11520233 4.20218322] -5.527162767098457 ;\n", + "Epoch 800/1000, Cost: 4.4827\n", + " and the parameters are [-3.11524024 4.20216374] -5.527162654166937 ;\n", + "Epoch 800/1000, Cost: 1.1969\n", + " and the parameters are [-3.1152369 4.20221173] -5.527151754579089 ;\n", + "Epoch 800/1000, Cost: 2.6528\n", + " and the parameters are [-3.11525645 4.2021223 ] -5.52722700823925 ;\n", + "Epoch 800/1000, Cost: 4.2154\n", + " and the parameters are [-3.11520581 4.20208536] -5.527299920287736 ;\n", + "Epoch 800/1000, Cost: 1.7320\n", + " and the parameters are [-3.11522621 4.20205804] -5.527325090323477 ;\n", + "Epoch 800/1000, Cost: 3.3162\n", + " and the parameters are [-3.11527353 4.20209995] -5.52728305993608 ;\n", + "Epoch 800/1000, Cost: 2.9715\n", + " and the parameters are [-3.11535918 4.20204736] -5.527296661026478 ;\n", + "Epoch 800/1000, Cost: 4.5005\n", + " and the parameters are [-3.11538475 4.20207701] -5.5272825972360415 ;\n", + "Epoch 800/1000, Cost: 4.6115\n", + " and the parameters are [-3.11532457 4.2019852 ] -5.527374075698689 ;\n", + "Epoch 800/1000, Cost: 3.3661\n", + " and the parameters are [-3.11529559 4.2019946 ] -5.52739470668351 ;\n", + "Epoch 800/1000, Cost: 2.9384\n", + " and the parameters are [-3.11533276 4.20191941] -5.527445697127007 ;\n", + "Epoch 800/1000, Cost: 4.2872\n", + " and the parameters are [-3.11537208 4.20187949] -5.527457593243919 ;\n", + "Epoch 800/1000, Cost: 2.4805\n", + " and the parameters are [-3.11543527 4.20190529] -5.527415015347875 ;\n", + "Epoch 800/1000, Cost: 2.4368\n", + " and the parameters are [-3.11545713 4.20196482] -5.527387669256094 ;\n", + "Epoch 800/1000, Cost: 2.3809\n", + " and the parameters are [-3.11552497 4.20187507] -5.5274417222705745 ;\n", + "Epoch 800/1000, Cost: 1.9531\n", + " and the parameters are [-3.11552991 4.20183458] -5.5274848076695715 ;\n", + "Epoch 800/1000, Cost: 3.9419\n", + " and the parameters are [-3.11556326 4.20187481] -5.5274499562692805 ;\n", + "Epoch 800/1000, Cost: 1.6035\n", + " and the parameters are [-3.11556701 4.20191768] -5.527439443301482 ;\n", + "Epoch 800/1000, Cost: 1.0226\n", + " and the parameters are [-3.11556211 4.20189492] -5.527477178042679 ;\n", + "Epoch 800/1000, Cost: 5.4184\n", + " and the parameters are [-3.11560933 4.20179469] -5.527523687946608 ;\n", + "Epoch 800/1000, Cost: 3.9363\n", + " and the parameters are [-3.11557575 4.20199506] -5.527400734938891 ;\n", + "Epoch 800/1000, Cost: 4.1856\n", + " and the parameters are [-3.11563041 4.20184999] -5.527501239039227 ;\n", + "Epoch 800/1000, Cost: 1.0689\n", + " and the parameters are [-3.1156342 4.2019142] -5.527474945188877 ;\n", + "Epoch 800/1000, Cost: 2.9479\n", + " and the parameters are [-3.11564752 4.20184942] -5.527543659398273 ;\n", + "Epoch 800/1000, Cost: 4.3872\n", + " and the parameters are [-3.11568125 4.20166957] -5.52766852603055 ;\n", + "Epoch 800/1000, Cost: 7.4732\n", + " and the parameters are [-3.11567758 4.20163422] -5.527686467750869 ;\n", + "Epoch 800/1000, Cost: 0.8011\n", + " and the parameters are [-3.11568481 4.20162801] -5.5277037452457405 ;\n", + "Epoch 800/1000, Cost: 2.3995\n", + " and the parameters are [-3.1156671 4.20170695] -5.527671515257393 ;\n", + "Epoch 800/1000, Cost: 1.1747\n", + " and the parameters are [-3.11568964 4.20174295] -5.5276578511797885 ;\n", + "Epoch 800/1000, Cost: 1.2949\n", + " and the parameters are [-3.11571015 4.20174944] -5.527668197848795 ;\n", + "Epoch 800/1000, Cost: 2.4180\n", + " and the parameters are [-3.11577481 4.20164419] -5.52773773092477 ;\n", + "Epoch 800/1000, Cost: 1.3378\n", + " and the parameters are [-3.1157787 4.20164591] -5.527757463465272 ;\n", + "Epoch 800/1000, Cost: 3.1719\n", + " and the parameters are [-3.11586547 4.20161827] -5.527749980771157 ;\n", + "Epoch 800/1000, Cost: 4.6379\n", + " and the parameters are [-3.11586871 4.20163982] -5.527737885012533 ;\n", + "Epoch 800/1000, Cost: 2.2904\n", + " and the parameters are [-3.11587547 4.20171466] -5.527701916048231 ;\n", + "Epoch 800/1000, Cost: 4.5373\n", + " and the parameters are [-3.11586138 4.20165604] -5.527767005920223 ;\n", + "Epoch 800/1000, Cost: 1.3168\n", + " and the parameters are [-3.11586748 4.20170733] -5.527741662094268 ;\n", + "Epoch 800/1000, Cost: 0.7168\n", + " and the parameters are [-3.11585889 4.20176802] -5.527715994073652 ;\n", + "Epoch 800/1000, Cost: 3.3339\n", + " and the parameters are [-3.11593242 4.20165575] -5.527777617889337 ;\n", + "Epoch 800/1000, Cost: 0.9074\n", + " and the parameters are [-3.11592493 4.20171537] -5.527758336239144 ;\n", + "Epoch 800/1000, Cost: 3.8987\n", + " and the parameters are [-3.11597341 4.20175726] -5.52771113793229 ;\n", + "Epoch 800/1000, Cost: 3.0824\n", + " and the parameters are [-3.11600815 4.20170465] -5.527748249334034 ;\n", + "Epoch 800/1000, Cost: 2.0750\n", + " and the parameters are [-3.11600357 4.20167733] -5.527804182116401 ;\n", + "Epoch 800/1000, Cost: 4.5632\n", + " and the parameters are [-3.11596806 4.20154674] -5.527930293950242 ;\n", + "Epoch 800/1000, Cost: 7.5653\n", + " and the parameters are [-3.11593343 4.20148162] -5.52798531966338 ;\n", + "Epoch 800/1000, Cost: 2.6594\n", + " and the parameters are [-3.11596612 4.20135497] -5.5280965175749035 ;\n", + "Epoch 800/1000, Cost: 2.7410\n", + " and the parameters are [-3.11602423 4.20140981] -5.52805128905455 ;\n", + "Epoch 800/1000, Cost: 3.4168\n", + " and the parameters are [-3.11598125 4.20150222] -5.528033887305794 ;\n", + "Epoch 800/1000, Cost: 2.8904\n", + " and the parameters are [-3.11600739 4.20149085] -5.528035175983781 ;\n", + "Epoch 800/1000, Cost: 7.7084\n", + " and the parameters are [-3.11592461 4.20153422] -5.528035284503955 ;\n", + "Epoch 800/1000, Cost: 3.0616\n", + " and the parameters are [-3.115924 4.2016251] -5.527993176515131 ;\n", + "Epoch 800/1000, Cost: 3.0640\n", + " and the parameters are [-3.11598251 4.20167913] -5.527928145632457 ;\n", + "Epoch 800/1000, Cost: 1.9343\n", + " and the parameters are [-3.11598032 4.20175067] -5.527887050262146 ;\n", + "Epoch 800/1000, Cost: 6.7099\n", + " and the parameters are [-3.11602919 4.20157856] -5.5279790054571345 ;\n", + "Epoch 800/1000, Cost: 2.7752\n", + " and the parameters are [-3.11600614 4.20170566] -5.527920427369414 ;\n", + "Epoch 800/1000, Cost: 2.2989\n", + " and the parameters are [-3.11602455 4.20167114] -5.527955013547339 ;\n", + "Epoch 800/1000, Cost: 2.8299\n", + " and the parameters are [-3.11597938 4.20165218] -5.528015644714284 ;\n", + "Epoch 800/1000, Cost: 2.1732\n", + " and the parameters are [-3.11594582 4.20170296] -5.528015328058189 ;\n", + "Epoch 800/1000, Cost: 3.4051\n", + " and the parameters are [-3.11596747 4.2016278 ] -5.528077919779033 ;\n", + "Epoch 800/1000, Cost: 10.3143\n", + " and the parameters are [-3.11594299 4.20138281] -5.528223543613078 ;\n", + "Epoch 800/1000, Cost: 1.9308\n", + " and the parameters are [-3.11597254 4.20133039] -5.528264994385344 ;\n", + "Epoch 800/1000, Cost: 1.4498\n", + " and the parameters are [-3.11596248 4.20134709] -5.528286671125038 ;\n", + "Epoch 800/1000, Cost: 2.5137\n", + " and the parameters are [-3.11591662 4.20132557] -5.528341964706501 ;\n", + "Epoch 800/1000, Cost: 6.6411\n", + " and the parameters are [-3.11589407 4.20140082] -5.528294449555748 ;\n", + "Epoch 800/1000, Cost: 2.6621\n", + " and the parameters are [-3.11588812 4.20133912] -5.528364719775224 ;\n", + "Epoch 800/1000, Cost: 1.4493\n", + " and the parameters are [-3.11591703 4.2012856 ] -5.528409925440765 ;\n", + "Epoch 800/1000, Cost: 2.0187\n", + " and the parameters are [-3.11595658 4.20129122] -5.528407582365304 ;\n", + "Epoch 800/1000, Cost: 6.2084\n", + " and the parameters are [-3.11598523 4.20129869] -5.528382873694266 ;\n", + "Epoch 800/1000, Cost: 2.4891\n", + " and the parameters are [-3.11602013 4.20136827] -5.528327451752346 ;\n", + "Epoch 800/1000, Cost: 2.0303\n", + " and the parameters are [-3.11602629 4.20140089] -5.528328730192255 ;\n", + "Epoch 800/1000, Cost: 3.2867\n", + " and the parameters are [-3.11608993 4.20132976] -5.528375011335712 ;\n", + "Epoch 800/1000, Cost: 2.6514\n", + " and the parameters are [-3.11597994 4.20137009] -5.5284184125374995 ;\n", + "Epoch 800/1000, Cost: 6.0925\n", + " and the parameters are [-3.11606161 4.2013677 ] -5.528380931831317 ;\n", + "Epoch 800/1000, Cost: 1.3438\n", + " and the parameters are [-3.11606744 4.20141023] -5.5283684596482665 ;\n", + "Epoch 800/1000, Cost: 4.2561\n", + " and the parameters are [-3.11603315 4.2014923 ] -5.528340701575485 ;\n", + "Epoch 800/1000, Cost: 4.3456\n", + " and the parameters are [-3.11609088 4.20137476] -5.528425345592713 ;\n", + "Epoch 800/1000, Cost: 1.2464\n", + " and the parameters are [-3.11609494 4.20141343] -5.5284176931174445 ;\n", + "Epoch 800/1000, Cost: 1.3727\n", + " and the parameters are [-3.11611948 4.2014595 ] -5.528394284369882 ;\n", + "Epoch 800/1000, Cost: 9.1204\n", + " and the parameters are [-3.11613595 4.20138431] -5.528415634936387 ;\n", + "Epoch 800/1000, Cost: 1.2086\n", + " and the parameters are [-3.11616022 4.20139629] -5.528420954788314 ;\n", + "Epoch 800/1000, Cost: 2.1026\n", + " and the parameters are [-3.11610273 4.20148698] -5.528411442780736 ;\n", + "Epoch 800/1000, Cost: 1.9830\n", + " and the parameters are [-3.11605194 4.20152785] -5.528439054787787 ;\n", + "Epoch 800/1000, Cost: 3.5285\n", + " and the parameters are [-3.11605962 4.20145227] -5.5285093428953465 ;\n", + "Epoch 800/1000, Cost: 1.8900\n", + " and the parameters are [-3.11606316 4.2014467 ] -5.528530593182575 ;\n", + "Epoch 800/1000, Cost: 1.9908\n", + " and the parameters are [-3.11602096 4.20148356] -5.528553491386881 ;\n", + "Epoch 800/1000, Cost: 3.1114\n", + " and the parameters are [-3.1159613 4.20160373] -5.528507242333397 ;\n", + "Epoch 800/1000, Cost: 3.6260\n", + " and the parameters are [-3.11598329 4.20159465] -5.528512398347881 ;\n", + "Epoch 800/1000, Cost: 1.1478\n", + " and the parameters are [-3.11596313 4.20165551] -5.528495632007565 ;\n", + "Epoch 800/1000, Cost: 1.4656\n", + " and the parameters are [-3.11598056 4.2016623 ] -5.5285120935403125 ;\n", + "Epoch 800/1000, Cost: 1.4759\n", + " and the parameters are [-3.11597888 4.20165237] -5.528543729771933 ;\n", + "Epoch 800/1000, Cost: 1.8773\n", + " and the parameters are [-3.11594941 4.20174831] -5.528514877284347 ;\n", + "Epoch 800/1000, Cost: 1.5848\n", + " and the parameters are [-3.11596844 4.20175339] -5.528520585074083 ;\n", + "Epoch 800/1000, Cost: 3.1481\n", + " and the parameters are [-3.11609687 4.20173256] -5.52846547328843 ;\n", + "Epoch 800/1000, Cost: 0.8018\n", + " and the parameters are [-3.11610634 4.2017355 ] -5.5284782102506975 ;\n", + "Epoch 800/1000, Cost: 1.0812\n", + " and the parameters are [-3.11609404 4.20175973] -5.528493440715946 ;\n", + "Epoch 800/1000, Cost: 4.0200\n", + " and the parameters are [-3.11615732 4.20181617] -5.528440639984701 ;\n", + "Epoch 800/1000, Cost: 5.2836\n", + " and the parameters are [-3.11614926 4.20178875] -5.528476043262506 ;\n", + "Epoch 800/1000, Cost: 3.8217\n", + " and the parameters are [-3.11620192 4.20183327] -5.528440215716209 ;\n", + "Epoch 800/1000, Cost: 2.4935\n", + " and the parameters are [-3.11611389 4.20187573] -5.528476918461561 ;\n", + "Epoch 800/1000, Cost: 3.5141\n", + " and the parameters are [-3.11606535 4.20191723] -5.528486955742298 ;\n", + "Epoch 800/1000, Cost: 3.1901\n", + " and the parameters are [-3.11603436 4.20207878] -5.528402499597981 ;\n", + "Epoch 800/1000, Cost: 1.6513\n", + " and the parameters are [-3.11604566 4.20212885] -5.528375941554641 ;\n", + "Epoch 800/1000, Cost: 3.4678\n", + " and the parameters are [-3.11606151 4.20205751] -5.528441275222435 ;\n", + "Epoch 800/1000, Cost: 5.5304\n", + " and the parameters are [-3.11607165 4.20206349] -5.528432883358641 ;\n", + "Epoch 800/1000, Cost: 3.9509\n", + " and the parameters are [-3.11609441 4.20199266] -5.528496335998622 ;\n", + "Epoch 800/1000, Cost: 2.3374\n", + " and the parameters are [-3.1160633 4.20209566] -5.5284544572857985 ;\n", + "Epoch 800/1000, Cost: 1.5779\n", + " and the parameters are [-3.11606384 4.2021758 ] -5.528422772155372 ;\n", + "Epoch 800/1000, Cost: 1.9973\n", + " and the parameters are [-3.11606713 4.20225913] -5.528371885269387 ;\n", + "Epoch 800/1000, Cost: 1.6147\n", + " and the parameters are [-3.11607525 4.20226801] -5.528383183019766 ;\n", + "Epoch 800/1000, Cost: 2.4635\n", + " and the parameters are [-3.11608072 4.20234199] -5.528349503845766 ;\n", + "Epoch 800/1000, Cost: 0.8451\n", + " and the parameters are [-3.1160938 4.20238542] -5.528324372125537 ;\n", + "Epoch 800/1000, Cost: 1.5753\n", + " and the parameters are [-3.11606211 4.2024889 ] -5.528289985369171 ;\n", + "Epoch 800/1000, Cost: 1.9697\n", + " and the parameters are [-3.11603715 4.20249768] -5.528320512515635 ;\n", + "Epoch 800/1000, Cost: 1.1378\n", + " and the parameters are [-3.11605021 4.20250209] -5.528334538307318 ;\n", + "Epoch 800/1000, Cost: 2.9692\n", + " and the parameters are [-3.11611297 4.2024282 ] -5.528376702762545 ;\n", + "Epoch 800/1000, Cost: 0.5778\n", + " and the parameters are [-3.1161291 4.20242734] -5.528385279031391 ;\n", + "Epoch 800/1000, Cost: 2.5414\n", + " and the parameters are [-3.11614656 4.20240787] -5.528420419824825 ;\n", + "Epoch 800/1000, Cost: 0.8002\n", + " and the parameters are [-3.11615056 4.20243117] -5.528417796548986 ;\n", + "Epoch 800/1000, Cost: 1.9786\n", + " and the parameters are [-3.1161379 4.20240823] -5.528470373986859 ;\n", + "Epoch 800/1000, Cost: 4.6200\n", + " and the parameters are [-3.11612117 4.20255178] -5.528389947275901 ;\n", + "Epoch 800/1000, Cost: 2.4025\n", + " and the parameters are [-3.11614712 4.20265704] -5.528321431334636 ;\n", + "Epoch 800/1000, Cost: 2.7533\n", + " and the parameters are [-3.11613602 4.20265158] -5.528349977566898 ;\n", + "Epoch 800/1000, Cost: 1.8209\n", + " and the parameters are [-3.11610704 4.20266592] -5.528379048226572 ;\n", + "Epoch 800/1000, Cost: 1.4232\n", + " and the parameters are [-3.11612303 4.20268456] -5.528383243768792 ;\n", + "Epoch 800/1000, Cost: 3.4414\n", + " and the parameters are [-3.11616503 4.20275015] -5.528339550021081 ;\n", + "Epoch 800/1000, Cost: 6.7792\n", + " and the parameters are [-3.11621361 4.2026211 ] -5.52840535318212 ;\n", + "Epoch 800/1000, Cost: 2.8523\n", + " and the parameters are [-3.11619246 4.20263167] -5.528430945355273 ;\n", + "Epoch 800/1000, Cost: 4.5809\n", + " and the parameters are [-3.11615062 4.20269215] -5.528423018424346 ;\n", + "Epoch 800/1000, Cost: 1.4729\n", + " and the parameters are [-3.11615749 4.2027592 ] -5.528379783567878 ;\n", + "Epoch 800/1000, Cost: 2.2530\n", + " and the parameters are [-3.11619782 4.20267142] -5.528436553150453 ;\n", + "Epoch 800/1000, Cost: 2.2893\n", + " and the parameters are [-3.11617082 4.20277205] -5.528393423090361 ;\n", + "Epoch 800/1000, Cost: 3.7613\n", + " and the parameters are [-3.11623532 4.20280289] -5.528349772567229 ;\n", + "Epoch 800/1000, Cost: 1.9619\n", + " and the parameters are [-3.11623633 4.20278764] -5.5283855517187614 ;\n", + "Epoch 800/1000, Cost: 2.4583\n", + " and the parameters are [-3.11626778 4.20280519] -5.528351890716427 ;\n", + "Epoch 800/1000, Cost: 5.1983\n", + " and the parameters are [-3.11634349 4.20273027] -5.52836115177188 ;\n", + "Epoch 800/1000, Cost: 6.6765\n", + " and the parameters are [-3.11631125 4.20262506] -5.528444652569718 ;\n", + "Epoch 800/1000, Cost: 0.9570\n", + " and the parameters are [-3.11633741 4.20259537] -5.528473033233519 ;\n", + "Epoch 800/1000, Cost: 3.6773\n", + " and the parameters are [-3.11630021 4.20267176] -5.528450434417063 ;\n", + "Epoch 800/1000, Cost: 6.2353\n", + " and the parameters are [-3.11635114 4.20255188] -5.528522423593609 ;\n", + "Epoch 800/1000, Cost: 1.5121\n", + " and the parameters are [-3.11633825 4.20263828] -5.528487384557637 ;\n", + "Epoch 800/1000, Cost: 0.9373\n", + " and the parameters are [-3.11633531 4.20269453] -5.528463415816053 ;\n", + "Epoch 800/1000, Cost: 3.1174\n", + " and the parameters are [-3.11642607 4.20253911] -5.528547833776733 ;\n", + "Epoch 800/1000, Cost: 2.2157\n", + " and the parameters are [-3.11644149 4.20258585] -5.528526319534669 ;\n", + "Epoch 800/1000, Cost: 5.7310\n", + " and the parameters are [-3.11648261 4.20242388] -5.5286124281781746 ;\n", + "Epoch 800/1000, Cost: 1.6284\n", + " and the parameters are [-3.1164886 4.20246955] -5.528596016133255 ;\n", + "Epoch 800/1000, Cost: 5.2800\n", + " and the parameters are [-3.11645358 4.20257974] -5.528513502719964 ;\n", + "Epoch 800/1000, Cost: 1.8584\n", + " and the parameters are [-3.1164765 4.20257863] -5.5285289922488685 ;\n", + "Epoch 800/1000, Cost: 3.6383\n", + " and the parameters are [-3.11653567 4.20256697] -5.528522201889216 ;\n", + "Epoch 800/1000, Cost: 2.3908\n", + " and the parameters are [-3.11658023 4.20260702] -5.528499203714324 ;\n", + "Epoch 800/1000, Cost: 2.1425\n", + " and the parameters are [-3.11654276 4.20270113] -5.528466578154816 ;\n", + "Epoch 800/1000, Cost: 1.0147\n", + " and the parameters are [-3.11653977 4.20272404] -5.528472271104408 ;\n", + "Epoch 800/1000, Cost: 1.4204\n", + " and the parameters are [-3.11651104 4.20276332] -5.528483087196305 ;\n", + "Epoch 800/1000, Cost: 4.2971\n", + " and the parameters are [-3.11644374 4.20289237] -5.528441735017736 ;\n", + "Epoch 800/1000, Cost: 2.2537\n", + " and the parameters are [-3.11651113 4.20283829] -5.528458144819684 ;\n", + "Epoch 800/1000, Cost: 4.9336\n", + " and the parameters are [-3.11656392 4.2028011 ] -5.528473501294718 ;\n", + "Epoch 800/1000, Cost: 1.9389\n", + " and the parameters are [-3.11652249 4.20281974] -5.528504837369266 ;\n", + "Epoch 810/1000, Cost: 5.9270\n", + " and the parameters are [-3.12558849 4.21407219] -5.544473272924819 ;\n", + "Epoch 810/1000, Cost: 3.0272\n", + " and the parameters are [-3.1255731 4.21416849] -5.544432983087187 ;\n", + "Epoch 810/1000, Cost: 1.0522\n", + " and the parameters are [-3.12559057 4.21417535] -5.544441082750977 ;\n", + "Epoch 810/1000, Cost: 1.3350\n", + " and the parameters are [-3.12560441 4.21421173] -5.544432622549948 ;\n", + "Epoch 810/1000, Cost: 6.6590\n", + " and the parameters are [-3.12548773 4.21427329] -5.544424621099474 ;\n", + "Epoch 810/1000, Cost: 1.4965\n", + " and the parameters are [-3.12549334 4.21427622] -5.544444234317349 ;\n", + "Epoch 810/1000, Cost: 4.1292\n", + " and the parameters are [-3.12550249 4.21436084] -5.544405563528648 ;\n", + "Epoch 810/1000, Cost: 1.5364\n", + " and the parameters are [-3.12555469 4.21430781] -5.544436176711031 ;\n", + "Epoch 810/1000, Cost: 5.2964\n", + " and the parameters are [-3.12555054 4.21415534] -5.544559212382746 ;\n", + "Epoch 810/1000, Cost: 3.7358\n", + " and the parameters are [-3.12567176 4.21408727] -5.544567316213953 ;\n", + "Epoch 810/1000, Cost: 5.8798\n", + " and the parameters are [-3.12581638 4.21384682] -5.544670604881543 ;\n", + "Epoch 810/1000, Cost: 2.6002\n", + " and the parameters are [-3.12580694 4.21390078] -5.544660283695168 ;\n", + "Epoch 810/1000, Cost: 5.6046\n", + " and the parameters are [-3.12578041 4.21394985] -5.544632877991871 ;\n", + "Epoch 810/1000, Cost: 7.5298\n", + " and the parameters are [-3.12584108 4.21388103] -5.544644744695635 ;\n", + "Epoch 810/1000, Cost: 2.8089\n", + " and the parameters are [-3.12582428 4.21394597] -5.544636730388008 ;\n", + "Epoch 810/1000, Cost: 3.7907\n", + " and the parameters are [-3.12584498 4.21390128] -5.544678960609661 ;\n", + "Epoch 810/1000, Cost: 1.7348\n", + " and the parameters are [-3.12584092 4.2139381 ] -5.54467597399854 ;\n", + "Epoch 810/1000, Cost: 6.0420\n", + " and the parameters are [-3.12598833 4.21373763] -5.544750432993029 ;\n", + "Epoch 810/1000, Cost: 0.7894\n", + " and the parameters are [-3.12599322 4.21374994] -5.544757055395828 ;\n", + "Epoch 810/1000, Cost: 2.1382\n", + " and the parameters are [-3.12596848 4.21380592] -5.544745207541364 ;\n", + "Epoch 810/1000, Cost: 2.4175\n", + " and the parameters are [-3.12595246 4.21381685] -5.544776785569738 ;\n", + "Epoch 810/1000, Cost: 1.6661\n", + " and the parameters are [-3.12593827 4.21382369] -5.544806332255303 ;\n", + "Epoch 810/1000, Cost: 1.7987\n", + " and the parameters are [-3.12597827 4.21378947] -5.544835418910436 ;\n", + "Epoch 810/1000, Cost: 3.6183\n", + " and the parameters are [-3.12592537 4.21380364] -5.544876199839309 ;\n", + "Epoch 810/1000, Cost: 6.0861\n", + " and the parameters are [-3.12589321 4.21365741] -5.544999349778273 ;\n", + "Epoch 810/1000, Cost: 2.6039\n", + " and the parameters are [-3.12591546 4.21373058] -5.544947745437847 ;\n", + "Epoch 810/1000, Cost: 0.7599\n", + " and the parameters are [-3.12590811 4.21375395] -5.544951961295598 ;\n", + "Epoch 810/1000, Cost: 6.6142\n", + " and the parameters are [-3.12588982 4.21364954] -5.545024664841767 ;\n", + "Epoch 810/1000, Cost: 1.8479\n", + " and the parameters are [-3.12592649 4.21364026] -5.545037172405931 ;\n", + "Epoch 810/1000, Cost: 1.1880\n", + " and the parameters are [-3.12591059 4.21367369] -5.545043762849772 ;\n", + "Epoch 810/1000, Cost: 6.5970\n", + " and the parameters are [-3.12587699 4.21353533] -5.545170260211759 ;\n", + "Epoch 810/1000, Cost: 2.2932\n", + " and the parameters are [-3.12587607 4.21358051] -5.545155466016213 ;\n", + "Epoch 810/1000, Cost: 2.7316\n", + " and the parameters are [-3.12594634 4.21354832] -5.545158643540597 ;\n", + "Epoch 810/1000, Cost: 3.6179\n", + " and the parameters are [-3.12594089 4.21349998] -5.5452169611777 ;\n", + "Epoch 810/1000, Cost: 2.4345\n", + " and the parameters are [-3.12597152 4.21342444] -5.545269538113783 ;\n", + "Epoch 810/1000, Cost: 3.9571\n", + " and the parameters are [-3.125999 4.21338488] -5.545293960407025 ;\n", + "Epoch 810/1000, Cost: 6.3315\n", + " and the parameters are [-3.12598514 4.2134206 ] -5.545259975526955 ;\n", + "Epoch 810/1000, Cost: 0.5380\n", + " and the parameters are [-3.12597555 4.21345542] -5.5452545731660745 ;\n", + "Epoch 810/1000, Cost: 3.6016\n", + " and the parameters are [-3.12603197 4.21344334] -5.545237329974882 ;\n", + "Epoch 810/1000, Cost: 1.8773\n", + " and the parameters are [-3.12602417 4.21346388] -5.545250505954557 ;\n", + "Epoch 810/1000, Cost: 1.8718\n", + " and the parameters are [-3.12605056 4.21350148] -5.545237424757521 ;\n", + "Epoch 810/1000, Cost: 6.6717\n", + " and the parameters are [-3.12590885 4.21342088] -5.545375634517466 ;\n", + "Epoch 810/1000, Cost: 3.0904\n", + " and the parameters are [-3.12588668 4.21347867] -5.545372160086037 ;\n", + "Epoch 810/1000, Cost: 3.1608\n", + " and the parameters are [-3.12594006 4.21348243] -5.545367769576201 ;\n", + "Epoch 810/1000, Cost: 2.8815\n", + " and the parameters are [-3.12592666 4.21347743] -5.545392206428158 ;\n", + "Epoch 810/1000, Cost: 3.2261\n", + " and the parameters are [-3.12584883 4.21353324] -5.545417784712077 ;\n", + "Epoch 810/1000, Cost: 0.9058\n", + " and the parameters are [-3.12586074 4.21357616] -5.545397439058907 ;\n", + "Epoch 810/1000, Cost: 0.6553\n", + " and the parameters are [-3.1258577 4.21360821] -5.545391509054468 ;\n", + "Epoch 810/1000, Cost: 2.0619\n", + " and the parameters are [-3.12584527 4.21363075] -5.5454071657456385 ;\n", + "Epoch 810/1000, Cost: 3.7185\n", + " and the parameters are [-3.12589348 4.2136971 ] -5.545347995564075 ;\n", + "Epoch 810/1000, Cost: 2.2093\n", + " and the parameters are [-3.12593377 4.2136135 ] -5.545407029002657 ;\n", + "Epoch 810/1000, Cost: 3.9870\n", + " and the parameters are [-3.12594261 4.21361301] -5.545432212528516 ;\n", + "Epoch 810/1000, Cost: 4.0004\n", + " and the parameters are [-3.12589521 4.21370358] -5.545414975152356 ;\n", + "Epoch 810/1000, Cost: 2.8564\n", + " and the parameters are [-3.12586084 4.21375929] -5.54542190150954 ;\n", + "Epoch 810/1000, Cost: 3.3709\n", + " and the parameters are [-3.12589731 4.21368991] -5.5454575140870075 ;\n", + "Epoch 810/1000, Cost: 1.9490\n", + " and the parameters are [-3.12587518 4.21373363] -5.545460956713516 ;\n", + "Epoch 810/1000, Cost: 1.5869\n", + " and the parameters are [-3.12587609 4.21372232] -5.545496320082976 ;\n", + "Epoch 810/1000, Cost: 1.2097\n", + " and the parameters are [-3.12586168 4.21378072] -5.54548759808665 ;\n", + "Epoch 810/1000, Cost: 3.7664\n", + " and the parameters are [-3.12591886 4.2136766 ] -5.545552844130859 ;\n", + "Epoch 810/1000, Cost: 9.6199\n", + " and the parameters are [-3.1260182 4.213718 ] -5.545427216711213 ;\n", + "Epoch 810/1000, Cost: 1.5973\n", + " and the parameters are [-3.12604871 4.21373314] -5.545427428663823 ;\n", + "Epoch 810/1000, Cost: 1.9705\n", + " and the parameters are [-3.12603076 4.21370653] -5.545481741486698 ;\n", + "Epoch 810/1000, Cost: 2.3812\n", + " and the parameters are [-3.12590885 4.21377338] -5.5455094531242395 ;\n", + "Epoch 810/1000, Cost: 2.0744\n", + " and the parameters are [-3.12594749 4.21376928] -5.54551751983044 ;\n", + "Epoch 810/1000, Cost: 4.4385\n", + " and the parameters are [-3.1259884 4.21375011] -5.545496150311759 ;\n", + "Epoch 810/1000, Cost: 5.0261\n", + " and the parameters are [-3.12607064 4.21352993] -5.545623836618418 ;\n", + "Epoch 810/1000, Cost: 1.5468\n", + " and the parameters are [-3.12606191 4.21353874] -5.5456508989210045 ;\n", + "Epoch 810/1000, Cost: 2.3925\n", + " and the parameters are [-3.12608083 4.21359216] -5.545624121630599 ;\n", + "Epoch 810/1000, Cost: 2.2807\n", + " and the parameters are [-3.12617743 4.2134428 ] -5.545699751435652 ;\n", + "Epoch 810/1000, Cost: 1.1152\n", + " and the parameters are [-3.12614963 4.21343932] -5.545739806097088 ;\n", + "Epoch 810/1000, Cost: 2.5753\n", + " and the parameters are [-3.12619033 4.21340466] -5.545760817453574 ;\n", + "Epoch 810/1000, Cost: 2.1773\n", + " and the parameters are [-3.12620423 4.21337126] -5.545800965334876 ;\n", + "Epoch 810/1000, Cost: 4.1046\n", + " and the parameters are [-3.12628392 4.21329543] -5.545826630651486 ;\n", + "Epoch 810/1000, Cost: 2.7464\n", + " and the parameters are [-3.12623881 4.21342915] -5.545774401590174 ;\n", + "Epoch 810/1000, Cost: 1.2839\n", + " and the parameters are [-3.12623274 4.21348196] -5.545762249206417 ;\n", + "Epoch 810/1000, Cost: 2.7618\n", + " and the parameters are [-3.12621448 4.21351563] -5.545764318011834 ;\n", + "Epoch 810/1000, Cost: 2.0556\n", + " and the parameters are [-3.12621012 4.21350756] -5.54579570341786 ;\n", + "Epoch 810/1000, Cost: 2.2193\n", + " and the parameters are [-3.12620275 4.21350318] -5.545823027886509 ;\n", + "Epoch 810/1000, Cost: 2.6709\n", + " and the parameters are [-3.12622904 4.21349099] -5.5458431281451 ;\n", + "Epoch 810/1000, Cost: 4.7260\n", + " and the parameters are [-3.1262438 4.21341449] -5.545888829456648 ;\n", + "Epoch 810/1000, Cost: 1.5113\n", + " and the parameters are [-3.12622625 4.21349855] -5.545849556886188 ;\n", + "Epoch 810/1000, Cost: 1.9182\n", + " and the parameters are [-3.12620912 4.21345775] -5.545902227921587 ;\n", + "Epoch 810/1000, Cost: 1.6179\n", + " and the parameters are [-3.12622574 4.21350013] -5.545886742844404 ;\n", + "Epoch 810/1000, Cost: 5.2692\n", + " and the parameters are [-3.12629447 4.21335696] -5.545958858807145 ;\n", + "Epoch 810/1000, Cost: 3.5417\n", + " and the parameters are [-3.1262929 4.21342325] -5.5459263698962955 ;\n", + "Epoch 810/1000, Cost: 3.7354\n", + " and the parameters are [-3.12626593 4.21351974] -5.545883768189946 ;\n", + "Epoch 810/1000, Cost: 1.1880\n", + " and the parameters are [-3.12625994 4.21355369] -5.5458865194010505 ;\n", + "Epoch 810/1000, Cost: 2.5570\n", + " and the parameters are [-3.12622801 4.21361994] -5.5458757805375285 ;\n", + "Epoch 810/1000, Cost: 1.2372\n", + " and the parameters are [-3.12623953 4.21361622] -5.545892509885721 ;\n", + "Epoch 810/1000, Cost: 2.1053\n", + " and the parameters are [-3.12615443 4.21362743] -5.5459479413966895 ;\n", + "Epoch 810/1000, Cost: 3.3384\n", + " and the parameters are [-3.12614805 4.21372063] -5.5459099465795845 ;\n", + "Epoch 810/1000, Cost: 4.5069\n", + " and the parameters are [-3.12612667 4.2136424 ] -5.545991044703222 ;\n", + "Epoch 810/1000, Cost: 1.0454\n", + " and the parameters are [-3.12615955 4.2136277 ] -5.546002818721711 ;\n", + "Epoch 810/1000, Cost: 3.5409\n", + " and the parameters are [-3.12613885 4.21370475] -5.545965291403484 ;\n", + "Epoch 810/1000, Cost: 2.0203\n", + " and the parameters are [-3.12617746 4.21361653] -5.546031120524969 ;\n", + "Epoch 810/1000, Cost: 2.9122\n", + " and the parameters are [-3.12619815 4.21353082] -5.546104738760042 ;\n", + "Epoch 810/1000, Cost: 3.0142\n", + " and the parameters are [-3.12617867 4.21355473] -5.5461076682808645 ;\n", + "Epoch 810/1000, Cost: 1.1508\n", + " and the parameters are [-3.12620675 4.21358818] -5.5460887748347245 ;\n", + "Epoch 810/1000, Cost: 3.1191\n", + " and the parameters are [-3.12615203 4.21368892] -5.546070450474486 ;\n", + "Epoch 810/1000, Cost: 5.1786\n", + " and the parameters are [-3.12608637 4.21371202] -5.546109328975088 ;\n", + "Epoch 810/1000, Cost: 2.8896\n", + " and the parameters are [-3.12612001 4.21377604] -5.546069524712613 ;\n", + "Epoch 810/1000, Cost: 1.3666\n", + " and the parameters are [-3.1261241 4.21381089] -5.546064022343268 ;\n", + "Epoch 810/1000, Cost: 1.2380\n", + " and the parameters are [-3.12615481 4.21379547] -5.546078564457596 ;\n", + "Epoch 810/1000, Cost: 1.6488\n", + " and the parameters are [-3.12611656 4.21390263] -5.546041671156924 ;\n", + "Epoch 810/1000, Cost: 1.1756\n", + " and the parameters are [-3.12613322 4.21395384] -5.546013429762113 ;\n", + "Epoch 810/1000, Cost: 3.6024\n", + " and the parameters are [-3.12620001 4.21388296] -5.546056026737444 ;\n", + "Epoch 810/1000, Cost: 2.2459\n", + " and the parameters are [-3.12617493 4.21395553] -5.546028183985605 ;\n", + "Epoch 810/1000, Cost: 2.6627\n", + " and the parameters are [-3.12613145 4.21398495] -5.546050081836329 ;\n", + "Epoch 810/1000, Cost: 1.3649\n", + " and the parameters are [-3.12614876 4.21398252] -5.546068522919416 ;\n", + "Epoch 810/1000, Cost: 4.3899\n", + " and the parameters are [-3.12616718 4.21407568] -5.546013725742918 ;\n", + "Epoch 810/1000, Cost: 3.9725\n", + " and the parameters are [-3.12619744 4.21412169] -5.545984009739597 ;\n", + "Epoch 810/1000, Cost: 3.5439\n", + " and the parameters are [-3.1261428 4.21409564] -5.546057312146739 ;\n", + "Epoch 810/1000, Cost: 2.6517\n", + " and the parameters are [-3.12610058 4.21418084] -5.5460288218982186 ;\n", + "Epoch 810/1000, Cost: 5.2570\n", + " and the parameters are [-3.12618591 4.21398397] -5.5461280131318 ;\n", + "Epoch 810/1000, Cost: 4.9862\n", + " and the parameters are [-3.12626178 4.2139312 ] -5.546132390068133 ;\n", + "Epoch 810/1000, Cost: 4.1941\n", + " and the parameters are [-3.12633692 4.21391126] -5.54611778982895 ;\n", + "Epoch 810/1000, Cost: 3.0797\n", + " and the parameters are [-3.12635788 4.21384988] -5.546166652985607 ;\n", + "Epoch 810/1000, Cost: 2.5128\n", + " and the parameters are [-3.12641538 4.21371415] -5.546262401480243 ;\n", + "Epoch 810/1000, Cost: 1.9055\n", + " and the parameters are [-3.12643959 4.21376318] -5.546224378442958 ;\n", + "Epoch 810/1000, Cost: 3.9791\n", + " and the parameters are [-3.12643499 4.21378733] -5.546212708901685 ;\n", + "Epoch 810/1000, Cost: 2.4302\n", + " and the parameters are [-3.12641609 4.21374496] -5.5462817990971605 ;\n", + "Epoch 810/1000, Cost: 6.0511\n", + " and the parameters are [-3.12642234 4.2137092 ] -5.546293945712454 ;\n", + "Epoch 810/1000, Cost: 2.0180\n", + " and the parameters are [-3.12639637 4.21370738] -5.54632986778342 ;\n", + "Epoch 810/1000, Cost: 3.1680\n", + " and the parameters are [-3.12638075 4.2138152 ] -5.54625554514864 ;\n", + "Epoch 810/1000, Cost: 1.4352\n", + " and the parameters are [-3.12635059 4.21389436] -5.546242139278542 ;\n", + "Epoch 810/1000, Cost: 6.9318\n", + " and the parameters are [-3.12636625 4.21382982] -5.5462603342576156 ;\n", + "Epoch 810/1000, Cost: 4.1338\n", + " and the parameters are [-3.12629983 4.21387384] -5.546277625339402 ;\n", + "Epoch 810/1000, Cost: 2.1841\n", + " and the parameters are [-3.12631583 4.21389485] -5.5462774978230875 ;\n", + "Epoch 810/1000, Cost: 3.9403\n", + " and the parameters are [-3.12635894 4.21399136] -5.546223434956207 ;\n", + "Epoch 810/1000, Cost: 2.8780\n", + " and the parameters are [-3.126377 4.213941] -5.546270713651644 ;\n", + "Epoch 810/1000, Cost: 3.1235\n", + " and the parameters are [-3.12640491 4.21395508] -5.5462547898892 ;\n", + "Epoch 810/1000, Cost: 0.8579\n", + " and the parameters are [-3.12637892 4.21396169] -5.546283593173597 ;\n", + "Epoch 810/1000, Cost: 2.1672\n", + " and the parameters are [-3.12636017 4.21406503] -5.546237828822924 ;\n", + "Epoch 810/1000, Cost: 1.4000\n", + " and the parameters are [-3.12636629 4.21406416] -5.54625446067565 ;\n", + "Epoch 810/1000, Cost: 3.0408\n", + " and the parameters are [-3.12640956 4.21398848] -5.546299784056644 ;\n", + "Epoch 810/1000, Cost: 1.7803\n", + " and the parameters are [-3.12640158 4.2140706 ] -5.546262884310221 ;\n", + "Epoch 810/1000, Cost: 1.3234\n", + " and the parameters are [-3.12644619 4.21404874] -5.546280023504493 ;\n", + "Epoch 810/1000, Cost: 3.9730\n", + " and the parameters are [-3.12643859 4.21390038] -5.5464068563385105 ;\n", + "Epoch 810/1000, Cost: 4.8630\n", + " and the parameters are [-3.12641494 4.21375549] -5.546522277149492 ;\n", + "Epoch 810/1000, Cost: 0.8804\n", + " and the parameters are [-3.12640465 4.21377258] -5.546536433717976 ;\n", + "Epoch 810/1000, Cost: 2.0105\n", + " and the parameters are [-3.12639172 4.21379876] -5.5465553769281355 ;\n", + "Epoch 810/1000, Cost: 2.1771\n", + " and the parameters are [-3.12635824 4.21391721] -5.546498417701698 ;\n", + "Epoch 810/1000, Cost: 4.8763\n", + " and the parameters are [-3.12638448 4.21388115] -5.546514722161834 ;\n", + "Epoch 810/1000, Cost: 2.1816\n", + " and the parameters are [-3.12633017 4.21393494] -5.546528664413615 ;\n", + "Epoch 810/1000, Cost: 1.2866\n", + " and the parameters are [-3.12629082 4.21402433] -5.54650798917887 ;\n", + "Epoch 810/1000, Cost: 1.1166\n", + " and the parameters are [-3.12630316 4.21402309] -5.546519051064164 ;\n", + "Epoch 810/1000, Cost: 6.0910\n", + " and the parameters are [-3.12633461 4.21388202] -5.546601154586855 ;\n", + "Epoch 810/1000, Cost: 3.1378\n", + " and the parameters are [-3.12635004 4.21395115] -5.5465609793528685 ;\n", + "Epoch 810/1000, Cost: 2.2584\n", + " and the parameters are [-3.12635151 4.21407167] -5.5464847912001485 ;\n", + "Epoch 810/1000, Cost: 3.2177\n", + " and the parameters are [-3.12634323 4.21411109] -5.546481437051006 ;\n", + "Epoch 810/1000, Cost: 2.0967\n", + " and the parameters are [-3.12639183 4.21415143] -5.546451695852622 ;\n", + "Epoch 810/1000, Cost: 3.1895\n", + " and the parameters are [-3.126347 4.21415348] -5.546491446356595 ;\n", + "Epoch 810/1000, Cost: 5.6978\n", + " and the parameters are [-3.12633074 4.2140827 ] -5.546554203272589 ;\n", + "Epoch 810/1000, Cost: 2.9861\n", + " and the parameters are [-3.1263284 4.21412969] -5.546546668688807 ;\n", + "Epoch 810/1000, Cost: 6.3581\n", + " and the parameters are [-3.12630475 4.21418304] -5.546511050591061 ;\n", + "Epoch 810/1000, Cost: 2.6191\n", + " and the parameters are [-3.12630799 4.21424122] -5.54648567482736 ;\n", + "Epoch 810/1000, Cost: 0.5634\n", + " and the parameters are [-3.12631014 4.21427511] -5.546474088843765 ;\n", + "Epoch 810/1000, Cost: 3.2408\n", + " and the parameters are [-3.12632651 4.21424964] -5.546511208899851 ;\n", + "Epoch 810/1000, Cost: 4.2845\n", + " and the parameters are [-3.12632695 4.21433152] -5.546475100143977 ;\n", + "Epoch 810/1000, Cost: 3.5886\n", + " and the parameters are [-3.12634979 4.2144014 ] -5.546431898486333 ;\n", + "Epoch 810/1000, Cost: 6.7864\n", + " and the parameters are [-3.12637631 4.21423967] -5.546546394513733 ;\n", + "Epoch 810/1000, Cost: 3.3736\n", + " and the parameters are [-3.12628861 4.214436 ] -5.546466405862979 ;\n", + "Epoch 810/1000, Cost: 6.8163\n", + " and the parameters are [-3.12627276 4.21450328] -5.546418171614632 ;\n", + "Epoch 810/1000, Cost: 2.9572\n", + " and the parameters are [-3.1263246 4.21440201] -5.546479273763427 ;\n", + "Epoch 810/1000, Cost: 4.9333\n", + " and the parameters are [-3.12637597 4.21434469] -5.546505815086196 ;\n", + "Epoch 810/1000, Cost: 1.8253\n", + " and the parameters are [-3.12640293 4.21434197] -5.546518788670786 ;\n", + "Epoch 810/1000, Cost: 0.6742\n", + " and the parameters are [-3.1263998 4.21435755] -5.546528720864407 ;\n", + "Epoch 810/1000, Cost: 5.5489\n", + " and the parameters are [-3.12634039 4.21440374] -5.546509200576344 ;\n", + "Epoch 810/1000, Cost: 1.0599\n", + " and the parameters are [-3.12634538 4.21440643] -5.54652739373929 ;\n", + "Epoch 810/1000, Cost: 3.6393\n", + " and the parameters are [-3.12627627 4.21438106] -5.546612815328462 ;\n", + "Epoch 810/1000, Cost: 1.7648\n", + " and the parameters are [-3.12629401 4.21443127] -5.5465938473530905 ;\n", + "Epoch 810/1000, Cost: 2.5446\n", + " and the parameters are [-3.12627257 4.21440266] -5.54664196977064 ;\n", + "Epoch 810/1000, Cost: 1.1763\n", + " and the parameters are [-3.12628866 4.21439716] -5.5466569405266535 ;\n", + "Epoch 810/1000, Cost: 5.1939\n", + " and the parameters are [-3.12629412 4.21449735] -5.546573290848839 ;\n", + "Epoch 810/1000, Cost: 3.7598\n", + " and the parameters are [-3.12626164 4.21448049] -5.54663393733709 ;\n", + "Epoch 810/1000, Cost: 1.8658\n", + " and the parameters are [-3.12632406 4.21450186] -5.546606100725534 ;\n", + "Epoch 810/1000, Cost: 1.3952\n", + " and the parameters are [-3.12629411 4.21457492] -5.5465895493606885 ;\n", + "Epoch 810/1000, Cost: 1.9040\n", + " and the parameters are [-3.1263113 4.21465508] -5.5465462823763385 ;\n", + "Epoch 810/1000, Cost: 0.8703\n", + " and the parameters are [-3.12630602 4.21469538] -5.5465398809996085 ;\n", + "Epoch 810/1000, Cost: 3.8474\n", + " and the parameters are [-3.1263486 4.21480361] -5.546457270707906 ;\n", + "Epoch 810/1000, Cost: 6.0877\n", + " and the parameters are [-3.12629649 4.21488116] -5.546424895148503 ;\n", + "Epoch 810/1000, Cost: 5.1831\n", + " and the parameters are [-3.12632912 4.21472957] -5.546510836471327 ;\n", + "Epoch 810/1000, Cost: 3.7579\n", + " and the parameters are [-3.12624296 4.21483186] -5.546487725884576 ;\n", + "Epoch 810/1000, Cost: 3.4757\n", + " and the parameters are [-3.12631225 4.21490751] -5.546406373044477 ;\n", + "Epoch 810/1000, Cost: 1.9522\n", + " and the parameters are [-3.12631992 4.21490444] -5.546433847779391 ;\n", + "Epoch 810/1000, Cost: 2.1406\n", + " and the parameters are [-3.12633528 4.21495228] -5.546417923041792 ;\n", + "Epoch 810/1000, Cost: 1.3650\n", + " and the parameters are [-3.12634183 4.21500303] -5.546396045341674 ;\n", + "Epoch 810/1000, Cost: 1.3315\n", + " and the parameters are [-3.12635147 4.2150343 ] -5.546391435531948 ;\n", + "Epoch 810/1000, Cost: 2.7830\n", + " and the parameters are [-3.126439 4.21494152] -5.546438386630709 ;\n", + "Epoch 810/1000, Cost: 3.2811\n", + " and the parameters are [-3.12639845 4.2150544 ] -5.546408145304737 ;\n", + "Epoch 810/1000, Cost: 2.7083\n", + " and the parameters are [-3.12640527 4.21511819] -5.5463825813627 ;\n", + "Epoch 810/1000, Cost: 2.2651\n", + " and the parameters are [-3.12641332 4.21514424] -5.546374520282016 ;\n", + "Epoch 810/1000, Cost: 1.1422\n", + " and the parameters are [-3.12641401 4.21519686] -5.546357974822763 ;\n", + "Epoch 810/1000, Cost: 2.4038\n", + " and the parameters are [-3.12644977 4.21519592] -5.546366960454284 ;\n", + "Epoch 810/1000, Cost: 4.7969\n", + " and the parameters are [-3.12645154 4.21521002] -5.5463593180058055 ;\n", + "Epoch 810/1000, Cost: 4.8357\n", + " and the parameters are [-3.12652554 4.21522659] -5.546323675010342 ;\n", + "Epoch 810/1000, Cost: 2.7047\n", + " and the parameters are [-3.12658349 4.21523841] -5.546305708330445 ;\n", + "Epoch 810/1000, Cost: 2.3231\n", + " and the parameters are [-3.1265787 4.21519911] -5.5463516106334305 ;\n", + "Epoch 810/1000, Cost: 7.3236\n", + " and the parameters are [-3.12648151 4.21534365] -5.546259736886515 ;\n", + "Epoch 810/1000, Cost: 1.2041\n", + " and the parameters are [-3.12649505 4.21534138] -5.546275302122591 ;\n", + "Epoch 820/1000, Cost: 8.9856\n", + " and the parameters are [-3.13540223 4.22614961] -5.562278589153986 ;\n", + "Epoch 820/1000, Cost: 3.1881\n", + " and the parameters are [-3.13542126 4.22622296] -5.562241123989624 ;\n", + "Epoch 820/1000, Cost: 1.2212\n", + " and the parameters are [-3.13540569 4.22622404] -5.562271959962667 ;\n", + "Epoch 820/1000, Cost: 2.1099\n", + " and the parameters are [-3.13539725 4.22616099] -5.562346839098213 ;\n", + "Epoch 820/1000, Cost: 3.0928\n", + " and the parameters are [-3.13538235 4.22619448] -5.562350556438214 ;\n", + "Epoch 820/1000, Cost: 1.7444\n", + " and the parameters are [-3.13544223 4.22619325] -5.562340736153001 ;\n", + "Epoch 820/1000, Cost: 2.6286\n", + " and the parameters are [-3.13550245 4.22615202] -5.562362105638737 ;\n", + "Epoch 820/1000, Cost: 0.8562\n", + " and the parameters are [-3.13549814 4.2261815 ] -5.562360650202178 ;\n", + "Epoch 820/1000, Cost: 3.6191\n", + " and the parameters are [-3.13547236 4.22623386] -5.562357616758352 ;\n", + "Epoch 820/1000, Cost: 4.9163\n", + " and the parameters are [-3.13547305 4.22622276] -5.562353116347195 ;\n", + "Epoch 820/1000, Cost: 4.6862\n", + " and the parameters are [-3.13544436 4.22614807] -5.562428196668723 ;\n", + "Epoch 820/1000, Cost: 4.2389\n", + " and the parameters are [-3.13539267 4.2261723 ] -5.562450779225431 ;\n", + "Epoch 820/1000, Cost: 3.1374\n", + " and the parameters are [-3.13538345 4.22623352] -5.562420352750991 ;\n", + "Epoch 820/1000, Cost: 2.0596\n", + " and the parameters are [-3.13540263 4.22620821] -5.562446630008718 ;\n", + "Epoch 820/1000, Cost: 2.3625\n", + " and the parameters are [-3.13536948 4.22624274] -5.562463991977281 ;\n", + "Epoch 820/1000, Cost: 3.4073\n", + " and the parameters are [-3.13542268 4.22630396] -5.562395588424173 ;\n", + "Epoch 820/1000, Cost: 2.3264\n", + " and the parameters are [-3.13541927 4.22634389] -5.562402367596005 ;\n", + "Epoch 820/1000, Cost: 2.0122\n", + " and the parameters are [-3.13540075 4.22640674] -5.5623979005204625 ;\n", + "Epoch 820/1000, Cost: 5.0152\n", + " and the parameters are [-3.13545426 4.22638396] -5.562397658542834 ;\n", + "Epoch 820/1000, Cost: 0.9495\n", + " and the parameters are [-3.13544834 4.22637227] -5.562426170843233 ;\n", + "Epoch 820/1000, Cost: 1.7849\n", + " and the parameters are [-3.13546415 4.22644634] -5.562381618452252 ;\n", + "Epoch 820/1000, Cost: 3.2827\n", + " and the parameters are [-3.13548144 4.22645345] -5.562392694196809 ;\n", + "Epoch 820/1000, Cost: 3.8110\n", + " and the parameters are [-3.13559326 4.22641863] -5.562372638699751 ;\n", + "Epoch 820/1000, Cost: 4.8198\n", + " and the parameters are [-3.13568195 4.22626608] -5.562433347634301 ;\n", + "Epoch 820/1000, Cost: 3.1831\n", + " and the parameters are [-3.13563086 4.22634166] -5.562412417784307 ;\n", + "Epoch 820/1000, Cost: 5.8952\n", + " and the parameters are [-3.13558927 4.22619404] -5.562539847372764 ;\n", + "Epoch 820/1000, Cost: 3.1440\n", + " and the parameters are [-3.13560169 4.22621554] -5.5625337686973015 ;\n", + "Epoch 820/1000, Cost: 3.9932\n", + " and the parameters are [-3.13559454 4.22610114] -5.5626417642330335 ;\n", + "Epoch 820/1000, Cost: 3.2888\n", + " and the parameters are [-3.13562052 4.2261874 ] -5.562578809173682 ;\n", + "Epoch 820/1000, Cost: 3.1673\n", + " and the parameters are [-3.1356333 4.22623677] -5.5625549016739635 ;\n", + "Epoch 820/1000, Cost: 2.6512\n", + " and the parameters are [-3.13563081 4.22626964] -5.562555455568318 ;\n", + "Epoch 820/1000, Cost: 3.9690\n", + " and the parameters are [-3.13560936 4.22619402] -5.562619247757144 ;\n", + "Epoch 820/1000, Cost: 1.0891\n", + " and the parameters are [-3.13558734 4.22627924] -5.562590539340075 ;\n", + "Epoch 820/1000, Cost: 2.5025\n", + " and the parameters are [-3.13563587 4.22624795] -5.562625334880267 ;\n", + "Epoch 820/1000, Cost: 2.1407\n", + " and the parameters are [-3.13569696 4.22620292] -5.562641671472874 ;\n", + "Epoch 820/1000, Cost: 2.3454\n", + " and the parameters are [-3.13573004 4.22612488] -5.562691229614685 ;\n", + "Epoch 820/1000, Cost: 2.2164\n", + " and the parameters are [-3.1357689 4.22616051] -5.562669859551778 ;\n", + "Epoch 820/1000, Cost: 1.7657\n", + " and the parameters are [-3.13576044 4.22621341] -5.5626588955447165 ;\n", + "Epoch 820/1000, Cost: 3.3398\n", + " and the parameters are [-3.13577656 4.22621496] -5.56265398218256 ;\n", + "Epoch 820/1000, Cost: 6.0319\n", + " and the parameters are [-3.13575861 4.22630229] -5.562592862580794 ;\n", + "Epoch 820/1000, Cost: 0.9170\n", + " and the parameters are [-3.13576026 4.22630796] -5.562608096499825 ;\n", + "Epoch 820/1000, Cost: 0.9441\n", + " and the parameters are [-3.13577553 4.22630173] -5.562624066349689 ;\n", + "Epoch 820/1000, Cost: 2.7159\n", + " and the parameters are [-3.13577414 4.22631942] -5.562636157625368 ;\n", + "Epoch 820/1000, Cost: 1.6035\n", + " and the parameters are [-3.13577231 4.22635501] -5.562626216059858 ;\n", + "Epoch 820/1000, Cost: 5.0894\n", + " and the parameters are [-3.13580995 4.22637122] -5.5625963896181885 ;\n", + "Epoch 820/1000, Cost: 2.5560\n", + " and the parameters are [-3.13569983 4.22644305] -5.562627853327637 ;\n", + "Epoch 820/1000, Cost: 1.8115\n", + " and the parameters are [-3.13566008 4.22657286] -5.562575274342795 ;\n", + "Epoch 820/1000, Cost: 2.8940\n", + " and the parameters are [-3.13565577 4.22662992] -5.5625652154761855 ;\n", + "Epoch 820/1000, Cost: 2.2056\n", + " and the parameters are [-3.13562687 4.22661229] -5.562611878256022 ;\n", + "Epoch 820/1000, Cost: 2.2673\n", + " and the parameters are [-3.13563686 4.2265397 ] -5.562686863290473 ;\n", + "Epoch 820/1000, Cost: 1.5855\n", + " and the parameters are [-3.13559835 4.22655817] -5.56271422493534 ;\n", + "Epoch 820/1000, Cost: 5.1564\n", + " and the parameters are [-3.13562689 4.22663478] -5.562666981651679 ;\n", + "Epoch 820/1000, Cost: 0.9496\n", + " and the parameters are [-3.13562591 4.22664219] -5.562685724118728 ;\n", + "Epoch 820/1000, Cost: 1.3935\n", + " and the parameters are [-3.13561578 4.2266824 ] -5.562685020881692 ;\n", + "Epoch 820/1000, Cost: 3.2703\n", + " and the parameters are [-3.1355565 4.22685252] -5.562607160420618 ;\n", + "Epoch 820/1000, Cost: 6.2019\n", + " and the parameters are [-3.13554257 4.22697153] -5.562513788388858 ;\n", + "Epoch 820/1000, Cost: 0.6285\n", + " and the parameters are [-3.13554727 4.22697774] -5.562523563513199 ;\n", + "Epoch 820/1000, Cost: 4.3442\n", + " and the parameters are [-3.13566182 4.22699136] -5.562467797717131 ;\n", + "Epoch 820/1000, Cost: 3.6668\n", + " and the parameters are [-3.13563327 4.22704965] -5.562445760948845 ;\n", + "Epoch 820/1000, Cost: 2.1123\n", + " and the parameters are [-3.13565674 4.22705891] -5.562449741767799 ;\n", + "Epoch 820/1000, Cost: 2.6354\n", + " and the parameters are [-3.13570936 4.22704097] -5.562448134363711 ;\n", + "Epoch 820/1000, Cost: 2.6527\n", + " and the parameters are [-3.13569665 4.2271044 ] -5.562422258127013 ;\n", + "Epoch 820/1000, Cost: 4.8256\n", + " and the parameters are [-3.13573446 4.22702402] -5.562461377130802 ;\n", + "Epoch 820/1000, Cost: 4.1160\n", + " and the parameters are [-3.1357336 4.22701691] -5.562470093970642 ;\n", + "Epoch 820/1000, Cost: 1.3252\n", + " and the parameters are [-3.13577204 4.2270248 ] -5.562465093351899 ;\n", + "Epoch 820/1000, Cost: 1.0567\n", + " and the parameters are [-3.13575099 4.227064 ] -5.562469573136001 ;\n", + "Epoch 820/1000, Cost: 3.7006\n", + " and the parameters are [-3.13572311 4.22709062] -5.562478531579251 ;\n", + "Epoch 820/1000, Cost: 3.3483\n", + " and the parameters are [-3.13570614 4.2271694 ] -5.562444691083157 ;\n", + "Epoch 820/1000, Cost: 5.1594\n", + " and the parameters are [-3.13585587 4.22697721] -5.562538803485518 ;\n", + "Epoch 820/1000, Cost: 1.7589\n", + " and the parameters are [-3.13586219 4.22695198] -5.562577600854039 ;\n", + "Epoch 820/1000, Cost: 5.0738\n", + " and the parameters are [-3.1358427 4.22687931] -5.562636119333693 ;\n", + "Epoch 820/1000, Cost: 7.7761\n", + " and the parameters are [-3.1357937 4.22688967] -5.562619112283134 ;\n", + "Epoch 820/1000, Cost: 2.6616\n", + " and the parameters are [-3.13580363 4.22683633] -5.562673109497655 ;\n", + "Epoch 820/1000, Cost: 1.5743\n", + " and the parameters are [-3.13578198 4.22692458] -5.562628535384119 ;\n", + "Epoch 820/1000, Cost: 2.3554\n", + " and the parameters are [-3.13576264 4.22702975] -5.562581580469672 ;\n", + "Epoch 820/1000, Cost: 9.4025\n", + " and the parameters are [-3.13570434 4.2270614 ] -5.5625742046449265 ;\n", + "Epoch 820/1000, Cost: 1.2226\n", + " and the parameters are [-3.13569064 4.22707317] -5.562592828320516 ;\n", + "Epoch 820/1000, Cost: 2.2093\n", + " and the parameters are [-3.13569955 4.22706558] -5.5626164448989135 ;\n", + "Epoch 820/1000, Cost: 2.5383\n", + " and the parameters are [-3.13571104 4.22706377] -5.562640282794611 ;\n", + "Epoch 820/1000, Cost: 1.5181\n", + " and the parameters are [-3.13571781 4.22709954] -5.562624845968073 ;\n", + "Epoch 820/1000, Cost: 1.2884\n", + " and the parameters are [-3.1357385 4.22710271] -5.562637002415362 ;\n", + "Epoch 820/1000, Cost: 2.5062\n", + " and the parameters are [-3.13575787 4.22710193] -5.562645712165691 ;\n", + "Epoch 820/1000, Cost: 2.1909\n", + " and the parameters are [-3.13579326 4.22710928] -5.5626385246171735 ;\n", + "Epoch 820/1000, Cost: 1.7256\n", + " and the parameters are [-3.13581887 4.22708926] -5.562665484896233 ;\n", + "Epoch 820/1000, Cost: 5.1936\n", + " and the parameters are [-3.13589314 4.2270409 ] -5.562668954277123 ;\n", + "Epoch 820/1000, Cost: 5.4557\n", + " and the parameters are [-3.13586628 4.22692434] -5.5627734890729705 ;\n", + "Epoch 820/1000, Cost: 4.1111\n", + " and the parameters are [-3.1358744 4.2268875] -5.5627903174939135 ;\n", + "Epoch 820/1000, Cost: 4.1168\n", + " and the parameters are [-3.13582697 4.22689473] -5.562822290757195 ;\n", + "Epoch 820/1000, Cost: 3.2194\n", + " and the parameters are [-3.13581388 4.22697247] -5.56278518626974 ;\n", + "Epoch 820/1000, Cost: 2.8842\n", + " and the parameters are [-3.13584148 4.22704378] -5.562723195431867 ;\n", + "Epoch 820/1000, Cost: 1.7184\n", + " and the parameters are [-3.13582542 4.22714119] -5.5626764233545485 ;\n", + "Epoch 820/1000, Cost: 1.1124\n", + " and the parameters are [-3.13583435 4.22717018] -5.562674260598758 ;\n", + "Epoch 820/1000, Cost: 1.1702\n", + " and the parameters are [-3.13583618 4.22718198] -5.562686825904304 ;\n", + "Epoch 820/1000, Cost: 2.4058\n", + " and the parameters are [-3.13585578 4.2272111 ] -5.5626820745402386 ;\n", + "Epoch 820/1000, Cost: 2.3407\n", + " and the parameters are [-3.13585577 4.2272627 ] -5.562673681832338 ;\n", + "Epoch 820/1000, Cost: 2.4751\n", + " and the parameters are [-3.13588091 4.22729648] -5.5626564869145 ;\n", + "Epoch 820/1000, Cost: 8.4016\n", + " and the parameters are [-3.13594849 4.22719049] -5.562673465034199 ;\n", + "Epoch 820/1000, Cost: 2.1308\n", + " and the parameters are [-3.13597757 4.22716924] -5.562696018574009 ;\n", + "Epoch 820/1000, Cost: 1.6947\n", + " and the parameters are [-3.13601303 4.22713495] -5.562720680491243 ;\n", + "Epoch 820/1000, Cost: 1.6422\n", + " and the parameters are [-3.13596753 4.22724508] -5.56267877138457 ;\n", + "Epoch 820/1000, Cost: 1.8871\n", + " and the parameters are [-3.13591435 4.22734556] -5.56264977639869 ;\n", + "Epoch 820/1000, Cost: 4.5590\n", + " and the parameters are [-3.13588676 4.22740605] -5.562605747135325 ;\n", + "Epoch 820/1000, Cost: 2.0099\n", + " and the parameters are [-3.13588587 4.22740035] -5.562629446807899 ;\n", + "Epoch 820/1000, Cost: 3.1958\n", + " and the parameters are [-3.13592731 4.22728554] -5.562705509731367 ;\n", + "Epoch 820/1000, Cost: 4.2435\n", + " and the parameters are [-3.13592971 4.22730037] -5.562716732160279 ;\n", + "Epoch 820/1000, Cost: 1.7214\n", + " and the parameters are [-3.13588183 4.2273711 ] -5.562714416630829 ;\n", + "Epoch 820/1000, Cost: 3.1711\n", + " and the parameters are [-3.13585119 4.22729757] -5.562807316234847 ;\n", + "Epoch 820/1000, Cost: 5.5102\n", + " and the parameters are [-3.13587104 4.2272621 ] -5.5628367045697145 ;\n", + "Epoch 820/1000, Cost: 6.7050\n", + " and the parameters are [-3.13598385 4.22709951] -5.562904829986102 ;\n", + "Epoch 820/1000, Cost: 1.0108\n", + " and the parameters are [-3.13598893 4.22712733] -5.56290397550991 ;\n", + "Epoch 820/1000, Cost: 2.6275\n", + " and the parameters are [-3.1360201 4.22714358] -5.562900044580701 ;\n", + "Epoch 820/1000, Cost: 4.2575\n", + " and the parameters are [-3.13594754 4.22714117] -5.562970864916463 ;\n", + "Epoch 820/1000, Cost: 3.3511\n", + " and the parameters are [-3.13592455 4.22723097] -5.562931259411363 ;\n", + "Epoch 820/1000, Cost: 4.0772\n", + " and the parameters are [-3.13589985 4.22744026] -5.562803530270203 ;\n", + "Epoch 820/1000, Cost: 2.0245\n", + " and the parameters are [-3.13595225 4.22748412] -5.562762510108187 ;\n", + "Epoch 820/1000, Cost: 5.2005\n", + " and the parameters are [-3.13593652 4.22762983] -5.562668148134199 ;\n", + "Epoch 820/1000, Cost: 1.7186\n", + " and the parameters are [-3.13596934 4.22762489] -5.562685033538575 ;\n", + "Epoch 820/1000, Cost: 2.7339\n", + " and the parameters are [-3.13600423 4.2276004 ] -5.562707039686593 ;\n", + "Epoch 820/1000, Cost: 3.1758\n", + " and the parameters are [-3.13603539 4.22754315] -5.562738230651194 ;\n", + "Epoch 820/1000, Cost: 2.4787\n", + " and the parameters are [-3.13600144 4.2275439 ] -5.562776253342687 ;\n", + "Epoch 820/1000, Cost: 3.1274\n", + " and the parameters are [-3.13609553 4.2274816 ] -5.56278780829118 ;\n", + "Epoch 820/1000, Cost: 1.7563\n", + " and the parameters are [-3.13607124 4.22750418] -5.562809156573516 ;\n", + "Epoch 820/1000, Cost: 2.5488\n", + " and the parameters are [-3.13606689 4.22746436] -5.562870824535777 ;\n", + "Epoch 820/1000, Cost: 0.8402\n", + " and the parameters are [-3.13604539 4.22750983] -5.562867756306388 ;\n", + "Epoch 820/1000, Cost: 5.8952\n", + " and the parameters are [-3.13596122 4.2273522 ] -5.563023849180459 ;\n", + "Epoch 820/1000, Cost: 1.5839\n", + " and the parameters are [-3.13591879 4.22745731] -5.562983844566713 ;\n", + "Epoch 820/1000, Cost: 3.3737\n", + " and the parameters are [-3.13591409 4.22748918] -5.562989687226255 ;\n", + "Epoch 820/1000, Cost: 1.6968\n", + " and the parameters are [-3.13586765 4.22752533] -5.563007543306685 ;\n", + "Epoch 820/1000, Cost: 4.6607\n", + " and the parameters are [-3.13599605 4.22747347] -5.562989453156588 ;\n", + "Epoch 820/1000, Cost: 6.6884\n", + " and the parameters are [-3.13607387 4.22752237] -5.562897692349479 ;\n", + "Epoch 820/1000, Cost: 1.4283\n", + " and the parameters are [-3.13608746 4.22749313] -5.562937511394621 ;\n", + "Epoch 820/1000, Cost: 3.2507\n", + " and the parameters are [-3.13611762 4.22743946] -5.562979757177893 ;\n", + "Epoch 820/1000, Cost: 1.7592\n", + " and the parameters are [-3.13607799 4.22748645] -5.56299601313775 ;\n", + "Epoch 820/1000, Cost: 8.2850\n", + " and the parameters are [-3.13608189 4.22750119] -5.562968382441929 ;\n", + "Epoch 820/1000, Cost: 3.3878\n", + " and the parameters are [-3.13609978 4.22753692] -5.562950726040816 ;\n", + "Epoch 820/1000, Cost: 1.9681\n", + " and the parameters are [-3.13612858 4.22748642] -5.562995271168894 ;\n", + "Epoch 820/1000, Cost: 1.1133\n", + " and the parameters are [-3.13614977 4.22749636] -5.562999386907367 ;\n", + "Epoch 820/1000, Cost: 2.1646\n", + " and the parameters are [-3.136206 4.22748554] -5.563003616402483 ;\n", + "Epoch 820/1000, Cost: 2.2290\n", + " and the parameters are [-3.1362148 4.22746439] -5.563035158223922 ;\n", + "Epoch 820/1000, Cost: 2.3014\n", + " and the parameters are [-3.13621667 4.22752148] -5.563018192810852 ;\n", + "Epoch 820/1000, Cost: 1.6539\n", + " and the parameters are [-3.13624801 4.22750919] -5.563034615185057 ;\n", + "Epoch 820/1000, Cost: 4.0209\n", + " and the parameters are [-3.13625137 4.22743699] -5.563088543824344 ;\n", + "Epoch 820/1000, Cost: 3.3011\n", + " and the parameters are [-3.13627982 4.22731794] -5.563174666841086 ;\n", + "Epoch 820/1000, Cost: 1.1414\n", + " and the parameters are [-3.13630836 4.22730849] -5.563188113120207 ;\n", + "Epoch 820/1000, Cost: 4.0542\n", + " and the parameters are [-3.1362754 4.22737203] -5.563150243152029 ;\n", + "Epoch 820/1000, Cost: 4.9972\n", + " and the parameters are [-3.13630106 4.22726619] -5.5632162177859135 ;\n", + "Epoch 820/1000, Cost: 4.1771\n", + " and the parameters are [-3.13634931 4.22726574] -5.563210994390489 ;\n", + "Epoch 820/1000, Cost: 3.4872\n", + " and the parameters are [-3.13648791 4.22714297] -5.563241353261577 ;\n", + "Epoch 820/1000, Cost: 6.7208\n", + " and the parameters are [-3.13640409 4.22724931] -5.563212044953176 ;\n", + "Epoch 820/1000, Cost: 2.0419\n", + " and the parameters are [-3.13648341 4.22721972] -5.563214377851834 ;\n", + "Epoch 820/1000, Cost: 9.2488\n", + " and the parameters are [-3.13645057 4.22705009] -5.563340291169617 ;\n", + "Epoch 820/1000, Cost: 2.7029\n", + " and the parameters are [-3.13650397 4.22692924] -5.5634214739282 ;\n", + "Epoch 820/1000, Cost: 4.6350\n", + " and the parameters are [-3.13641434 4.22692427] -5.563467591898865 ;\n", + "Epoch 820/1000, Cost: 2.5408\n", + " and the parameters are [-3.13642103 4.2270462 ] -5.563402732015339 ;\n", + "Epoch 820/1000, Cost: 2.9253\n", + " and the parameters are [-3.13640622 4.22702489] -5.563442780260804 ;\n", + "Epoch 820/1000, Cost: 4.7615\n", + " and the parameters are [-3.1363374 4.22721016] -5.563354177100516 ;\n", + "Epoch 820/1000, Cost: 4.7352\n", + " and the parameters are [-3.13633164 4.22717787] -5.563392911410794 ;\n", + "Epoch 820/1000, Cost: 3.6353\n", + " and the parameters are [-3.1363827 4.22719339] -5.563373395659082 ;\n", + "Epoch 820/1000, Cost: 1.7980\n", + " and the parameters are [-3.13635124 4.22720704] -5.563403889534142 ;\n", + "Epoch 820/1000, Cost: 0.7496\n", + " and the parameters are [-3.13634152 4.22723472] -5.563407988991323 ;\n", + "Epoch 820/1000, Cost: 3.3414\n", + " and the parameters are [-3.13631136 4.227151 ] -5.563503712538573 ;\n", + "Epoch 820/1000, Cost: 4.4824\n", + " and the parameters are [-3.13630029 4.22701969] -5.56362558545329 ;\n", + "Epoch 820/1000, Cost: 1.6686\n", + " and the parameters are [-3.13629216 4.22705054] -5.5636325528283415 ;\n", + "Epoch 820/1000, Cost: 2.6795\n", + " and the parameters are [-3.13628818 4.2269778 ] -5.563705681559335 ;\n", + "Epoch 820/1000, Cost: 0.9654\n", + " and the parameters are [-3.13627868 4.22696261] -5.563738979640423 ;\n", + "Epoch 820/1000, Cost: 4.9701\n", + " and the parameters are [-3.13625867 4.22694571] -5.563788475168592 ;\n", + "Epoch 820/1000, Cost: 1.1253\n", + " and the parameters are [-3.13622985 4.22702058] -5.563772004162401 ;\n", + "Epoch 820/1000, Cost: 1.7111\n", + " and the parameters are [-3.1362456 4.22704738] -5.563771534243322 ;\n", + "Epoch 820/1000, Cost: 3.6209\n", + " and the parameters are [-3.1362011 4.22708407] -5.563780505217939 ;\n", + "Epoch 820/1000, Cost: 1.1485\n", + " and the parameters are [-3.136191 4.22710989] -5.563790861413399 ;\n", + "Epoch 820/1000, Cost: 1.1831\n", + " and the parameters are [-3.1362008 4.22711129] -5.563807306079844 ;\n", + "Epoch 820/1000, Cost: 0.7792\n", + " and the parameters are [-3.13620958 4.22711825] -5.56381827092409 ;\n", + "Epoch 820/1000, Cost: 0.8871\n", + " and the parameters are [-3.13621111 4.22715322] -5.563812855329648 ;\n", + "Epoch 820/1000, Cost: 3.4214\n", + " and the parameters are [-3.13618949 4.22711888] -5.563871460338298 ;\n", + "Epoch 820/1000, Cost: 4.3436\n", + " and the parameters are [-3.13628332 4.22698195] -5.563935158471751 ;\n", + "Epoch 820/1000, Cost: 2.2499\n", + " and the parameters are [-3.13627319 4.22705243] -5.563914867795016 ;\n", + "Epoch 820/1000, Cost: 1.7653\n", + " and the parameters are [-3.1362953 4.22708787] -5.563895248690518 ;\n", + "Epoch 820/1000, Cost: 1.2934\n", + " and the parameters are [-3.13630191 4.2270694 ] -5.563929657596849 ;\n", + "Epoch 820/1000, Cost: 3.1156\n", + " and the parameters are [-3.13625633 4.22708737] -5.563971850606321 ;\n", + "Epoch 820/1000, Cost: 3.8362\n", + " and the parameters are [-3.13632022 4.22712267] -5.563902987734125 ;\n", + "Epoch 820/1000, Cost: 0.9626\n", + " and the parameters are [-3.13634395 4.22710963] -5.563919859193436 ;\n", + "Epoch 820/1000, Cost: 2.3276\n", + " and the parameters are [-3.13634031 4.22718038] -5.563883230402808 ;\n", + "Epoch 820/1000, Cost: 1.8636\n", + " and the parameters are [-3.1363302 4.22730319] -5.563817697809442 ;\n", + "Epoch 820/1000, Cost: 2.2970\n", + " and the parameters are [-3.13631506 4.22733821] -5.563817342837482 ;\n", + "Epoch 820/1000, Cost: 2.6114\n", + " and the parameters are [-3.13629831 4.22727169] -5.563885593807021 ;\n", + "Epoch 820/1000, Cost: 4.3535\n", + " and the parameters are [-3.13626574 4.2274028 ] -5.563814915123114 ;\n", + "Epoch 820/1000, Cost: 2.8460\n", + " and the parameters are [-3.13627956 4.22747226] -5.563780552395528 ;\n", + "Epoch 820/1000, Cost: 1.5276\n", + " and the parameters are [-3.13626306 4.22744347] -5.563831105595241 ;\n", + "Epoch 820/1000, Cost: 6.1277\n", + " and the parameters are [-3.13632957 4.22749876] -5.563759275659757 ;\n", + "Epoch 820/1000, Cost: 2.6515\n", + " and the parameters are [-3.13631697 4.22747294] -5.563809977666363 ;\n", + "Epoch 820/1000, Cost: 3.7888\n", + " and the parameters are [-3.13628354 4.22752491] -5.563808941552049 ;\n", + "Epoch 820/1000, Cost: 1.5636\n", + " and the parameters are [-3.1363195 4.22749314] -5.5638296498114155 ;\n", + "Epoch 820/1000, Cost: 2.4580\n", + " and the parameters are [-3.13632977 4.22753609] -5.5638220592797145 ;\n", + "Epoch 820/1000, Cost: 1.8520\n", + " and the parameters are [-3.13638754 4.22756116] -5.563796968177647 ;\n", + "Epoch 820/1000, Cost: 3.1227\n", + " and the parameters are [-3.1363861 4.22754574] -5.563826370431848 ;\n", + "Epoch 820/1000, Cost: 4.8911\n", + " and the parameters are [-3.13637932 4.22759196] -5.563797294136443 ;\n", + "Epoch 820/1000, Cost: 3.0021\n", + " and the parameters are [-3.13645385 4.22760611] -5.56376597783675 ;\n", + "Epoch 820/1000, Cost: 3.0103\n", + " and the parameters are [-3.13645498 4.22775367] -5.563688480807916 ;\n", + "Epoch 820/1000, Cost: 4.1174\n", + " and the parameters are [-3.13641597 4.22767562] -5.563791142929023 ;\n", + "Epoch 820/1000, Cost: 2.2599\n", + " and the parameters are [-3.13635709 4.22768214] -5.563843714936671 ;\n", + "Epoch 830/1000, Cost: 1.0783\n", + " and the parameters are [-3.14518769 4.23860197] -5.579509049060855 ;\n", + "Epoch 830/1000, Cost: 5.4304\n", + " and the parameters are [-3.14522 4.23844967] -5.579598378821222 ;\n", + "Epoch 830/1000, Cost: 0.9176\n", + " and the parameters are [-3.14520603 4.23849539] -5.579592231580445 ;\n", + "Epoch 830/1000, Cost: 1.9902\n", + " and the parameters are [-3.14519966 4.23851862] -5.579598584110432 ;\n", + "Epoch 830/1000, Cost: 1.6669\n", + " and the parameters are [-3.14519162 4.23850047] -5.579642630314749 ;\n", + "Epoch 830/1000, Cost: 0.7907\n", + " and the parameters are [-3.14519128 4.23853351] -5.579637568419012 ;\n", + "Epoch 830/1000, Cost: 1.4009\n", + " and the parameters are [-3.14517913 4.23854797] -5.579656730487297 ;\n", + "Epoch 830/1000, Cost: 1.8077\n", + " and the parameters are [-3.14515543 4.2386139 ] -5.579648094499037 ;\n", + "Epoch 830/1000, Cost: 9.0370\n", + " and the parameters are [-3.14520799 4.23865121] -5.579577390896897 ;\n", + "Epoch 830/1000, Cost: 2.5152\n", + " and the parameters are [-3.14522402 4.23873553] -5.5795136381712656 ;\n", + "Epoch 830/1000, Cost: 6.7797\n", + " and the parameters are [-3.14531409 4.23861708] -5.579538787650884 ;\n", + "Epoch 830/1000, Cost: 2.1704\n", + " and the parameters are [-3.14532822 4.23860196] -5.579567433271871 ;\n", + "Epoch 830/1000, Cost: 0.6089\n", + " and the parameters are [-3.14531648 4.23862113] -5.579575788704696 ;\n", + "Epoch 830/1000, Cost: 2.6733\n", + " and the parameters are [-3.14538085 4.23853533] -5.579603102730337 ;\n", + "Epoch 830/1000, Cost: 3.0676\n", + " and the parameters are [-3.14539247 4.23856142] -5.579599356158428 ;\n", + "Epoch 830/1000, Cost: 3.3342\n", + " and the parameters are [-3.14531294 4.23860635] -5.579635957130568 ;\n", + "Epoch 830/1000, Cost: 1.1527\n", + " and the parameters are [-3.14531844 4.23861333] -5.579656231179945 ;\n", + "Epoch 830/1000, Cost: 2.5911\n", + " and the parameters are [-3.14534683 4.23858966] -5.5796864126794405 ;\n", + "Epoch 830/1000, Cost: 2.3616\n", + " and the parameters are [-3.14535548 4.23859129] -5.579700687118629 ;\n", + "Epoch 830/1000, Cost: 0.8849\n", + " and the parameters are [-3.14536866 4.23863257] -5.579678390358761 ;\n", + "Epoch 830/1000, Cost: 0.6462\n", + " and the parameters are [-3.14535967 4.23866348] -5.579675411464411 ;\n", + "Epoch 830/1000, Cost: 4.5619\n", + " and the parameters are [-3.14540716 4.23858991] -5.579722070028178 ;\n", + "Epoch 830/1000, Cost: 3.4873\n", + " and the parameters are [-3.14542688 4.23869049] -5.5796480802950486 ;\n", + "Epoch 830/1000, Cost: 1.2797\n", + " and the parameters are [-3.14542396 4.23866253] -5.579695077222141 ;\n", + "Epoch 830/1000, Cost: 2.4666\n", + " and the parameters are [-3.14542208 4.23867259] -5.579698348734249 ;\n", + "Epoch 830/1000, Cost: 2.3070\n", + " and the parameters are [-3.14545881 4.23862502] -5.579742296157783 ;\n", + "Epoch 830/1000, Cost: 2.0114\n", + " and the parameters are [-3.14546366 4.23872528] -5.579688581011561 ;\n", + "Epoch 830/1000, Cost: 2.9572\n", + " and the parameters are [-3.14548232 4.23872388] -5.579699412000804 ;\n", + "Epoch 830/1000, Cost: 1.5586\n", + " and the parameters are [-3.14548542 4.23872303] -5.5797246269879945 ;\n", + "Epoch 830/1000, Cost: 2.4329\n", + " and the parameters are [-3.14557126 4.23870479] -5.579710946731387 ;\n", + "Epoch 830/1000, Cost: 7.1471\n", + " and the parameters are [-3.14554836 4.23874876] -5.579679520969603 ;\n", + "Epoch 830/1000, Cost: 3.7993\n", + " and the parameters are [-3.14562755 4.2386785 ] -5.579699305910515 ;\n", + "Epoch 830/1000, Cost: 1.6763\n", + " and the parameters are [-3.14566476 4.2386508 ] -5.579723215396863 ;\n", + "Epoch 830/1000, Cost: 7.8393\n", + " and the parameters are [-3.1457335 4.23846739] -5.579813545646225 ;\n", + "Epoch 830/1000, Cost: 3.2568\n", + " and the parameters are [-3.14561303 4.23850782] -5.579868457852935 ;\n", + "Epoch 830/1000, Cost: 5.2490\n", + " and the parameters are [-3.14559895 4.23844512] -5.5799260250158085 ;\n", + "Epoch 830/1000, Cost: 1.2378\n", + " and the parameters are [-3.14561474 4.23841686] -5.579959429505422 ;\n", + "Epoch 830/1000, Cost: 1.9325\n", + " and the parameters are [-3.14555835 4.238445 ] -5.579984041623324 ;\n", + "Epoch 830/1000, Cost: 3.5641\n", + " and the parameters are [-3.14561815 4.23831796] -5.580064867663356 ;\n", + "Epoch 830/1000, Cost: 4.5804\n", + " and the parameters are [-3.14569615 4.23820583] -5.580130276375623 ;\n", + "Epoch 830/1000, Cost: 3.9063\n", + " and the parameters are [-3.14569458 4.23831938] -5.580051323894305 ;\n", + "Epoch 830/1000, Cost: 4.3882\n", + " and the parameters are [-3.14571709 4.23832243] -5.580021136638059 ;\n", + "Epoch 830/1000, Cost: 2.2723\n", + " and the parameters are [-3.1457479 4.23823986] -5.58009029051558 ;\n", + "Epoch 830/1000, Cost: 3.0908\n", + " and the parameters are [-3.14580892 4.23831213] -5.580016176041373 ;\n", + "Epoch 830/1000, Cost: 7.4689\n", + " and the parameters are [-3.14585131 4.23810895] -5.580131040775779 ;\n", + "Epoch 830/1000, Cost: 0.7325\n", + " and the parameters are [-3.14586336 4.23812176] -5.5801336146673695 ;\n", + "Epoch 830/1000, Cost: 1.3403\n", + " and the parameters are [-3.14589239 4.23817626] -5.5800965591902685 ;\n", + "Epoch 830/1000, Cost: 1.3883\n", + " and the parameters are [-3.14588144 4.23821835] -5.580092846811712 ;\n", + "Epoch 830/1000, Cost: 2.0623\n", + " and the parameters are [-3.14585701 4.23824501] -5.580102469665052 ;\n", + "Epoch 830/1000, Cost: 3.8117\n", + " and the parameters are [-3.14582939 4.23814043] -5.580214408358115 ;\n", + "Epoch 830/1000, Cost: 2.8487\n", + " and the parameters are [-3.14586038 4.23814318] -5.580201310057132 ;\n", + "Epoch 830/1000, Cost: 1.5770\n", + " and the parameters are [-3.14588218 4.23821527] -5.580158318258141 ;\n", + "Epoch 830/1000, Cost: 3.1289\n", + " and the parameters are [-3.14591316 4.23820482] -5.580146543185706 ;\n", + "Epoch 830/1000, Cost: 2.1229\n", + " and the parameters are [-3.14593309 4.23823826] -5.5801348888775255 ;\n", + "Epoch 830/1000, Cost: 1.3587\n", + " and the parameters are [-3.14590479 4.23831506] -5.580117900849776 ;\n", + "Epoch 830/1000, Cost: 4.6006\n", + " and the parameters are [-3.14588918 4.23840477] -5.580061311984377 ;\n", + "Epoch 830/1000, Cost: 2.4960\n", + " and the parameters are [-3.14591736 4.23832927] -5.580121406578652 ;\n", + "Epoch 830/1000, Cost: 3.2232\n", + " and the parameters are [-3.14604328 4.2383273 ] -5.580059503020013 ;\n", + "Epoch 830/1000, Cost: 2.0805\n", + " and the parameters are [-3.14603258 4.2383411 ] -5.580079709441195 ;\n", + "Epoch 830/1000, Cost: 3.3905\n", + " and the parameters are [-3.14597099 4.23834262] -5.580124933051673 ;\n", + "Epoch 830/1000, Cost: 3.8005\n", + " and the parameters are [-3.14593513 4.23832703] -5.580168954128151 ;\n", + "Epoch 830/1000, Cost: 3.4302\n", + " and the parameters are [-3.14602531 4.23826681] -5.580185501384181 ;\n", + "Epoch 830/1000, Cost: 1.8492\n", + " and the parameters are [-3.146049 4.23835056] -5.580135005084252 ;\n", + "Epoch 830/1000, Cost: 2.7005\n", + " and the parameters are [-3.14608858 4.23839636] -5.580098703360555 ;\n", + "Epoch 830/1000, Cost: 5.0660\n", + " and the parameters are [-3.14607119 4.23835812] -5.580138745534218 ;\n", + "Epoch 830/1000, Cost: 3.5126\n", + " and the parameters are [-3.14611391 4.23837879] -5.5801072511511665 ;\n", + "Epoch 830/1000, Cost: 2.1979\n", + " and the parameters are [-3.14610338 4.23833342] -5.580162359221247 ;\n", + "Epoch 830/1000, Cost: 2.1523\n", + " and the parameters are [-3.14615386 4.23834353] -5.5801440970371505 ;\n", + "Epoch 830/1000, Cost: 6.6092\n", + " and the parameters are [-3.14620123 4.23822734] -5.580195385788213 ;\n", + "Epoch 830/1000, Cost: 1.2394\n", + " and the parameters are [-3.14618504 4.23823007] -5.580224179563582 ;\n", + "Epoch 830/1000, Cost: 3.1112\n", + " and the parameters are [-3.14616113 4.23825598] -5.580228403921027 ;\n", + "Epoch 830/1000, Cost: 2.0301\n", + " and the parameters are [-3.14622902 4.23826001] -5.580201033866666 ;\n", + "Epoch 830/1000, Cost: 4.5337\n", + " and the parameters are [-3.14631413 4.23819302] -5.580217541697021 ;\n", + "Epoch 830/1000, Cost: 8.4555\n", + " and the parameters are [-3.14622909 4.23832585] -5.580131496347722 ;\n", + "Epoch 830/1000, Cost: 4.3960\n", + " and the parameters are [-3.14619764 4.23828984] -5.580173591258403 ;\n", + "Epoch 830/1000, Cost: 3.8444\n", + " and the parameters are [-3.14623542 4.23829999] -5.580156389186311 ;\n", + "Epoch 830/1000, Cost: 4.1413\n", + " and the parameters are [-3.14615837 4.23835782] -5.580165378288481 ;\n", + "Epoch 830/1000, Cost: 0.8017\n", + " and the parameters are [-3.1461664 4.23840012] -5.580147375132848 ;\n", + "Epoch 830/1000, Cost: 4.3252\n", + " and the parameters are [-3.14620618 4.23828951] -5.580232336248615 ;\n", + "Epoch 830/1000, Cost: 2.1138\n", + " and the parameters are [-3.14618823 4.2382674 ] -5.58028721760477 ;\n", + "Epoch 830/1000, Cost: 5.3276\n", + " and the parameters are [-3.14611325 4.23831044] -5.580291447807073 ;\n", + "Epoch 830/1000, Cost: 2.5935\n", + " and the parameters are [-3.14604935 4.23846498] -5.580233365152314 ;\n", + "Epoch 830/1000, Cost: 2.1079\n", + " and the parameters are [-3.14607718 4.238435 ] -5.580260732813772 ;\n", + "Epoch 830/1000, Cost: 1.9409\n", + " and the parameters are [-3.14607594 4.23848626] -5.580237512260586 ;\n", + "Epoch 830/1000, Cost: 3.0962\n", + " and the parameters are [-3.14605574 4.23852559] -5.580247264875439 ;\n", + "Epoch 830/1000, Cost: 1.9017\n", + " and the parameters are [-3.14600825 4.23855742] -5.580278233661963 ;\n", + "Epoch 830/1000, Cost: 2.1423\n", + " and the parameters are [-3.14600639 4.23849708] -5.5803577891439975 ;\n", + "Epoch 830/1000, Cost: 2.2894\n", + " and the parameters are [-3.14602289 4.23854596] -5.580332505392708 ;\n", + "Epoch 830/1000, Cost: 2.9870\n", + " and the parameters are [-3.14599948 4.23851215] -5.580387121370491 ;\n", + "Epoch 830/1000, Cost: 1.5972\n", + " and the parameters are [-3.1459801 4.23854147] -5.580394034629436 ;\n", + "Epoch 830/1000, Cost: 3.0160\n", + " and the parameters are [-3.14603079 4.23848398] -5.580428719887242 ;\n", + "Epoch 830/1000, Cost: 3.2226\n", + " and the parameters are [-3.14597624 4.23853361] -5.580453579744894 ;\n", + "Epoch 830/1000, Cost: 4.7166\n", + " and the parameters are [-3.14600249 4.23851504] -5.580462872808343 ;\n", + "Epoch 830/1000, Cost: 1.2945\n", + " and the parameters are [-3.14603027 4.23852533] -5.580460865792225 ;\n", + "Epoch 830/1000, Cost: 3.5550\n", + " and the parameters are [-3.14602833 4.23857687] -5.58044998238893 ;\n", + "Epoch 830/1000, Cost: 7.0603\n", + " and the parameters are [-3.14604297 4.23851109] -5.580491642035499 ;\n", + "Epoch 830/1000, Cost: 5.9084\n", + " and the parameters are [-3.14598548 4.23851107] -5.580528385201481 ;\n", + "Epoch 830/1000, Cost: 4.7755\n", + " and the parameters are [-3.14595408 4.23847698] -5.58056372414179 ;\n", + "Epoch 830/1000, Cost: 3.1959\n", + " and the parameters are [-3.14600743 4.23834609] -5.580657910447629 ;\n", + "Epoch 830/1000, Cost: 6.7111\n", + " and the parameters are [-3.14597332 4.23840358] -5.580618022881158 ;\n", + "Epoch 830/1000, Cost: 2.3879\n", + " and the parameters are [-3.14599691 4.23843757] -5.5806010167934925 ;\n", + "Epoch 830/1000, Cost: 3.4512\n", + " and the parameters are [-3.14596287 4.23843805] -5.580625036637587 ;\n", + "Epoch 830/1000, Cost: 2.5046\n", + " and the parameters are [-3.14594229 4.23842324] -5.580673278979284 ;\n", + "Epoch 830/1000, Cost: 4.3703\n", + " and the parameters are [-3.1460294 4.2383029] -5.58074774585763 ;\n", + "Epoch 830/1000, Cost: 2.4762\n", + " and the parameters are [-3.14604759 4.23826443] -5.580780245188573 ;\n", + "Epoch 830/1000, Cost: 3.0715\n", + " and the parameters are [-3.1460327 4.23822012] -5.580840653355603 ;\n", + "Epoch 830/1000, Cost: 2.2191\n", + " and the parameters are [-3.14605564 4.23818273] -5.580870597021643 ;\n", + "Epoch 830/1000, Cost: 2.3934\n", + " and the parameters are [-3.14601626 4.23814848] -5.580929692166033 ;\n", + "Epoch 830/1000, Cost: 5.6438\n", + " and the parameters are [-3.14607585 4.23818552] -5.580860090769506 ;\n", + "Epoch 830/1000, Cost: 4.3576\n", + " and the parameters are [-3.14610483 4.23810856] -5.580926663438012 ;\n", + "Epoch 830/1000, Cost: 3.8525\n", + " and the parameters are [-3.14618674 4.23806658] -5.580913266024536 ;\n", + "Epoch 830/1000, Cost: 2.4723\n", + " and the parameters are [-3.14620587 4.23811605] -5.58090237324159 ;\n", + "Epoch 830/1000, Cost: 3.3695\n", + " and the parameters are [-3.14622048 4.23808099] -5.58094560132202 ;\n", + "Epoch 830/1000, Cost: 2.1265\n", + " and the parameters are [-3.14621145 4.23810023] -5.58094892521958 ;\n", + "Epoch 830/1000, Cost: 3.7185\n", + " and the parameters are [-3.14620123 4.23803515] -5.581015159648387 ;\n", + "Epoch 830/1000, Cost: 2.1646\n", + " and the parameters are [-3.14623888 4.23806995] -5.580986429020694 ;\n", + "Epoch 830/1000, Cost: 3.0188\n", + " and the parameters are [-3.14623329 4.23812263] -5.580982099573736 ;\n", + "Epoch 830/1000, Cost: 1.8397\n", + " and the parameters are [-3.14623523 4.23820915] -5.580937535281702 ;\n", + "Epoch 830/1000, Cost: 3.5282\n", + " and the parameters are [-3.14623285 4.2382645 ] -5.580917887053042 ;\n", + "Epoch 830/1000, Cost: 2.1309\n", + " and the parameters are [-3.14620475 4.23834281] -5.580892832214345 ;\n", + "Epoch 830/1000, Cost: 3.3277\n", + " and the parameters are [-3.14617336 4.2383799 ] -5.580900518391599 ;\n", + "Epoch 830/1000, Cost: 2.5810\n", + " and the parameters are [-3.14618766 4.2383876 ] -5.580908889583222 ;\n", + "Epoch 830/1000, Cost: 5.7193\n", + " and the parameters are [-3.14611564 4.23853688] -5.580836512109443 ;\n", + "Epoch 830/1000, Cost: 0.6672\n", + " and the parameters are [-3.1461322 4.23855591] -5.580831563839799 ;\n", + "Epoch 830/1000, Cost: 2.5792\n", + " and the parameters are [-3.14610824 4.23855429] -5.580872480651201 ;\n", + "Epoch 830/1000, Cost: 4.5323\n", + " and the parameters are [-3.14614079 4.23856858] -5.580863322048432 ;\n", + "Epoch 830/1000, Cost: 1.7290\n", + " and the parameters are [-3.14613757 4.23863329] -5.5808393374889755 ;\n", + "Epoch 830/1000, Cost: 5.6023\n", + " and the parameters are [-3.14625004 4.23856312] -5.580824903407905 ;\n", + "Epoch 830/1000, Cost: 3.7070\n", + " and the parameters are [-3.14630597 4.23855942] -5.580818192885334 ;\n", + "Epoch 830/1000, Cost: 4.0681\n", + " and the parameters are [-3.14642384 4.23846442] -5.580837278530226 ;\n", + "Epoch 830/1000, Cost: 2.9916\n", + " and the parameters are [-3.14640661 4.23854456] -5.580803237388793 ;\n", + "Epoch 830/1000, Cost: 2.0170\n", + " and the parameters are [-3.1464131 4.23855434] -5.580820104774297 ;\n", + "Epoch 830/1000, Cost: 2.7070\n", + " and the parameters are [-3.1463939 4.23857849] -5.580832852819079 ;\n", + "Epoch 830/1000, Cost: 1.8445\n", + " and the parameters are [-3.14640264 4.23865353] -5.580797716786216 ;\n", + "Epoch 830/1000, Cost: 2.7940\n", + " and the parameters are [-3.14641743 4.23863677] -5.580832487964801 ;\n", + "Epoch 830/1000, Cost: 1.4129\n", + " and the parameters are [-3.1464028 4.23865245] -5.580853526664006 ;\n", + "Epoch 830/1000, Cost: 3.3365\n", + " and the parameters are [-3.14640003 4.2386397 ] -5.580881332114291 ;\n", + "Epoch 830/1000, Cost: 7.0533\n", + " and the parameters are [-3.14639166 4.2386052 ] -5.580890091642687 ;\n", + "Epoch 830/1000, Cost: 0.6063\n", + " and the parameters are [-3.14638797 4.23861029] -5.580905715842466 ;\n", + "Epoch 830/1000, Cost: 0.7159\n", + " and the parameters are [-3.14638451 4.23864786] -5.580898959427933 ;\n", + "Epoch 830/1000, Cost: 4.4501\n", + " and the parameters are [-3.14639321 4.23877591] -5.580820690274226 ;\n", + "Epoch 830/1000, Cost: 2.4872\n", + " and the parameters are [-3.14635842 4.23885237] -5.580807223871012 ;\n", + "Epoch 830/1000, Cost: 0.8623\n", + " and the parameters are [-3.14636323 4.23888383] -5.580800751917677 ;\n", + "Epoch 830/1000, Cost: 2.6831\n", + " and the parameters are [-3.14637396 4.23892199] -5.580771455971224 ;\n", + "Epoch 830/1000, Cost: 1.3380\n", + " and the parameters are [-3.14636342 4.23897423] -5.580762950845571 ;\n", + "Epoch 830/1000, Cost: 2.8282\n", + " and the parameters are [-3.14632192 4.23904017] -5.580765870882355 ;\n", + "Epoch 830/1000, Cost: 3.3831\n", + " and the parameters are [-3.14631341 4.23900496] -5.580817527965338 ;\n", + "Epoch 830/1000, Cost: 1.7916\n", + " and the parameters are [-3.14637315 4.2389548 ] -5.5808508676386 ;\n", + "Epoch 830/1000, Cost: 4.4404\n", + " and the parameters are [-3.14630146 4.23904931] -5.5808234913663926 ;\n", + "Epoch 830/1000, Cost: 1.0762\n", + " and the parameters are [-3.14629681 4.23909467] -5.580818299450686 ;\n", + "Epoch 830/1000, Cost: 1.1489\n", + " and the parameters are [-3.14633273 4.23907581] -5.5808345779379 ;\n", + "Epoch 830/1000, Cost: 4.4946\n", + " and the parameters are [-3.14630998 4.2390683 ] -5.580852030084512 ;\n", + "Epoch 830/1000, Cost: 3.1172\n", + " and the parameters are [-3.14633102 4.23902165] -5.580897664003963 ;\n", + "Epoch 830/1000, Cost: 2.4268\n", + " and the parameters are [-3.14628024 4.23909726] -5.580889193995436 ;\n", + "Epoch 830/1000, Cost: 4.6080\n", + " and the parameters are [-3.14626322 4.23920568] -5.5808217945757335 ;\n", + "Epoch 830/1000, Cost: 1.0451\n", + " and the parameters are [-3.14625187 4.23926609] -5.5808051567123425 ;\n", + "Epoch 830/1000, Cost: 4.4841\n", + " and the parameters are [-3.14626931 4.23937059] -5.580746626218909 ;\n", + "Epoch 830/1000, Cost: 2.4713\n", + " and the parameters are [-3.14624197 4.23942741] -5.580745614533109 ;\n", + "Epoch 830/1000, Cost: 2.4290\n", + " and the parameters are [-3.14624105 4.23944831] -5.580759502938918 ;\n", + "Epoch 830/1000, Cost: 7.6014\n", + " and the parameters are [-3.14625223 4.2393953 ] -5.580774214656695 ;\n", + "Epoch 830/1000, Cost: 2.1047\n", + " and the parameters are [-3.14626653 4.23934894] -5.580823367336612 ;\n", + "Epoch 830/1000, Cost: 0.7427\n", + " and the parameters are [-3.14628009 4.23937332] -5.580816721638671 ;\n", + "Epoch 830/1000, Cost: 1.4848\n", + " and the parameters are [-3.14632435 4.23931416] -5.580858695685013 ;\n", + "Epoch 830/1000, Cost: 4.5744\n", + " and the parameters are [-3.14637835 4.23917875] -5.580943584203667 ;\n", + "Epoch 830/1000, Cost: 5.6361\n", + " and the parameters are [-3.1463952 4.23919396] -5.580923841035292 ;\n", + "Epoch 830/1000, Cost: 2.6072\n", + " and the parameters are [-3.14640731 4.23921865] -5.580937278571202 ;\n", + "Epoch 830/1000, Cost: 3.3318\n", + " and the parameters are [-3.14640606 4.23925498] -5.580929786956724 ;\n", + "Epoch 830/1000, Cost: 4.6801\n", + " and the parameters are [-3.14639532 4.23931029] -5.580894408829289 ;\n", + "Epoch 830/1000, Cost: 0.7106\n", + " and the parameters are [-3.14640151 4.23934012] -5.580884657989814 ;\n", + "Epoch 830/1000, Cost: 3.5971\n", + " and the parameters are [-3.1463246 4.23942715] -5.580878539435826 ;\n", + "Epoch 830/1000, Cost: 3.0165\n", + " and the parameters are [-3.14632282 4.23951728] -5.580830261834995 ;\n", + "Epoch 830/1000, Cost: 2.9556\n", + " and the parameters are [-3.1462378 4.23963158] -5.58081327458892 ;\n", + "Epoch 830/1000, Cost: 4.4236\n", + " and the parameters are [-3.14619335 4.23966784] -5.580814235889833 ;\n", + "Epoch 830/1000, Cost: 3.3020\n", + " and the parameters are [-3.14612957 4.23970422] -5.580848135555365 ;\n", + "Epoch 830/1000, Cost: 2.5200\n", + " and the parameters are [-3.14616387 4.23964516] -5.580905672525979 ;\n", + "Epoch 830/1000, Cost: 4.3608\n", + " and the parameters are [-3.14614108 4.23961826] -5.580950386197726 ;\n", + "Epoch 830/1000, Cost: 4.4921\n", + " and the parameters are [-3.14612888 4.23958977] -5.580993436535981 ;\n", + "Epoch 830/1000, Cost: 6.0531\n", + " and the parameters are [-3.14603676 4.23962039] -5.581017785784073 ;\n", + "Epoch 830/1000, Cost: 1.2107\n", + " and the parameters are [-3.14603804 4.23964127] -5.581023670033804 ;\n", + "Epoch 830/1000, Cost: 4.8607\n", + " and the parameters are [-3.14607905 4.23962792] -5.581029856585157 ;\n", + "Epoch 830/1000, Cost: 1.2549\n", + " and the parameters are [-3.14613458 4.23956465] -5.581066526559955 ;\n", + "Epoch 830/1000, Cost: 2.7391\n", + " and the parameters are [-3.14617682 4.23946185] -5.581127506735101 ;\n", + "Epoch 830/1000, Cost: 1.5280\n", + " and the parameters are [-3.14613565 4.23947316] -5.5811686921803005 ;\n", + "Epoch 830/1000, Cost: 4.2865\n", + " and the parameters are [-3.14621896 4.23949155] -5.581115440764672 ;\n", + "Epoch 830/1000, Cost: 1.7502\n", + " and the parameters are [-3.14622693 4.23943618] -5.581171060968938 ;\n", + "Epoch 830/1000, Cost: 3.6002\n", + " and the parameters are [-3.1462787 4.239536 ] -5.581094576955312 ;\n", + "Epoch 830/1000, Cost: 2.7354\n", + " and the parameters are [-3.14626092 4.23946967] -5.581172773243902 ;\n", + "Epoch 830/1000, Cost: 0.9078\n", + " and the parameters are [-3.14620681 4.23953528] -5.581172703031203 ;\n", + "Epoch 830/1000, Cost: 0.7733\n", + " and the parameters are [-3.14621507 4.23956298] -5.581163877264801 ;\n", + "Epoch 830/1000, Cost: 2.7887\n", + " and the parameters are [-3.14616607 4.23963339] -5.5811588807242725 ;\n", + "Epoch 830/1000, Cost: 3.3031\n", + " and the parameters are [-3.14618974 4.23959314] -5.581199747046541 ;\n", + "Epoch 830/1000, Cost: 1.9030\n", + " and the parameters are [-3.14615672 4.23969338] -5.581167685709541 ;\n", + "Epoch 830/1000, Cost: 1.9240\n", + " and the parameters are [-3.14611412 4.2397541 ] -5.581172496048935 ;\n", + "Epoch 830/1000, Cost: 0.8999\n", + " and the parameters are [-3.14610816 4.23975779] -5.581191568081644 ;\n", + "Epoch 830/1000, Cost: 1.8806\n", + " and the parameters are [-3.14609626 4.23979858] -5.581194883116006 ;\n", + "Epoch 830/1000, Cost: 1.3097\n", + " and the parameters are [-3.14608812 4.23982986] -5.581201340813013 ;\n", + "Epoch 830/1000, Cost: 2.5792\n", + " and the parameters are [-3.14606722 4.23986509] -5.581210984789383 ;\n", + "Epoch 830/1000, Cost: 3.5987\n", + " and the parameters are [-3.14612735 4.23983707] -5.581210051477493 ;\n", + "Epoch 830/1000, Cost: 5.4034\n", + " and the parameters are [-3.14604286 4.23987868] -5.581209826101102 ;\n", + "Epoch 830/1000, Cost: 2.7920\n", + " and the parameters are [-3.14610427 4.2398897 ] -5.581187268728507 ;\n", + "Epoch 840/1000, Cost: 5.7220\n", + " and the parameters are [-3.15473784 4.25079142] -5.5965919861101066 ;\n", + "Epoch 840/1000, Cost: 1.7257\n", + " and the parameters are [-3.15478363 4.25080026] -5.596572814290874 ;\n", + "Epoch 840/1000, Cost: 4.2216\n", + " and the parameters are [-3.15486018 4.25077322] -5.596558008240386 ;\n", + "Epoch 840/1000, Cost: 2.7910\n", + " and the parameters are [-3.15481712 4.25074097] -5.596628864384584 ;\n", + "Epoch 840/1000, Cost: 1.6303\n", + " and the parameters are [-3.15488847 4.25064778] -5.596683193627466 ;\n", + "Epoch 840/1000, Cost: 3.6178\n", + " and the parameters are [-3.15480328 4.25079878] -5.596641921252307 ;\n", + "Epoch 840/1000, Cost: 3.0176\n", + " and the parameters are [-3.15475507 4.25087482] -5.5966303920445055 ;\n", + "Epoch 840/1000, Cost: 2.7069\n", + " and the parameters are [-3.15480569 4.25089553] -5.59660485329853 ;\n", + "Epoch 840/1000, Cost: 1.4194\n", + " and the parameters are [-3.15476249 4.25090722] -5.596642270979374 ;\n", + "Epoch 840/1000, Cost: 2.2098\n", + " and the parameters are [-3.15477733 4.25096963] -5.5966117779083655 ;\n", + "Epoch 840/1000, Cost: 3.1931\n", + " and the parameters are [-3.15483177 4.25097981] -5.596598952046789 ;\n", + "Epoch 840/1000, Cost: 4.0038\n", + " and the parameters are [-3.15488407 4.25088784] -5.596651798982832 ;\n", + "Epoch 840/1000, Cost: 4.2538\n", + " and the parameters are [-3.15495769 4.25072808] -5.596731523403178 ;\n", + "Epoch 840/1000, Cost: 1.8355\n", + " and the parameters are [-3.15489587 4.25082723] -5.596712055962382 ;\n", + "Epoch 840/1000, Cost: 5.1954\n", + " and the parameters are [-3.15491191 4.25075803] -5.59676270448115 ;\n", + "Epoch 840/1000, Cost: 3.7229\n", + " and the parameters are [-3.15483782 4.25098169] -5.596656827943975 ;\n", + "Epoch 840/1000, Cost: 2.3491\n", + " and the parameters are [-3.15483723 4.2510296 ] -5.59663975866859 ;\n", + "Epoch 840/1000, Cost: 3.1215\n", + " and the parameters are [-3.15476822 4.25112089] -5.596631851996686 ;\n", + "Epoch 840/1000, Cost: 3.9882\n", + " and the parameters are [-3.15481055 4.25116594] -5.596589758177143 ;\n", + "Epoch 840/1000, Cost: 3.9323\n", + " and the parameters are [-3.15479976 4.2512935 ] -5.596516644228284 ;\n", + "Epoch 840/1000, Cost: 3.1896\n", + " and the parameters are [-3.15485563 4.25136098] -5.596448197970044 ;\n", + "Epoch 840/1000, Cost: 3.3449\n", + " and the parameters are [-3.15490685 4.25128332] -5.59649489658656 ;\n", + "Epoch 840/1000, Cost: 2.0931\n", + " and the parameters are [-3.15490434 4.2513231 ] -5.596496355637077 ;\n", + "Epoch 840/1000, Cost: 4.2328\n", + " and the parameters are [-3.15493446 4.25132231] -5.596499254753026 ;\n", + "Epoch 840/1000, Cost: 1.7568\n", + " and the parameters are [-3.1549528 4.25133818] -5.596498294973338 ;\n", + "Epoch 840/1000, Cost: 1.7350\n", + " and the parameters are [-3.154959 4.25137978] -5.596485886600253 ;\n", + "Epoch 840/1000, Cost: 3.6545\n", + " and the parameters are [-3.154933 4.25138362] -5.596523020233373 ;\n", + "Epoch 840/1000, Cost: 2.9025\n", + " and the parameters are [-3.15490803 4.25138611] -5.596564849173983 ;\n", + "Epoch 840/1000, Cost: 4.5389\n", + " and the parameters are [-3.15482039 4.25154809] -5.596489774597154 ;\n", + "Epoch 840/1000, Cost: 0.9374\n", + " and the parameters are [-3.15480592 4.25158228] -5.596492906207289 ;\n", + "Epoch 840/1000, Cost: 2.8293\n", + " and the parameters are [-3.15485107 4.25150511] -5.59654743992275 ;\n", + "Epoch 840/1000, Cost: 4.7759\n", + " and the parameters are [-3.15489107 4.25142058] -5.596594370383495 ;\n", + "Epoch 840/1000, Cost: 2.9853\n", + " and the parameters are [-3.15485353 4.25153167] -5.5965511251558455 ;\n", + "Epoch 840/1000, Cost: 4.2482\n", + " and the parameters are [-3.15489065 4.25151624] -5.596559201256133 ;\n", + "Epoch 840/1000, Cost: 1.8783\n", + " and the parameters are [-3.15483553 4.25157435] -5.596568146087245 ;\n", + "Epoch 840/1000, Cost: 2.9864\n", + " and the parameters are [-3.15492478 4.25154985] -5.5965590049602225 ;\n", + "Epoch 840/1000, Cost: 1.6837\n", + " and the parameters are [-3.15495779 4.25160209] -5.596517691621194 ;\n", + "Epoch 840/1000, Cost: 1.9451\n", + " and the parameters are [-3.15496142 4.25155762] -5.596563115031874 ;\n", + "Epoch 840/1000, Cost: 0.7994\n", + " and the parameters are [-3.15496382 4.25154968] -5.59658513304273 ;\n", + "Epoch 840/1000, Cost: 3.7218\n", + " and the parameters are [-3.15496872 4.2515636 ] -5.596565475121991 ;\n", + "Epoch 840/1000, Cost: 1.4032\n", + " and the parameters are [-3.1550347 4.25149698] -5.596597860310536 ;\n", + "Epoch 840/1000, Cost: 1.5226\n", + " and the parameters are [-3.15508603 4.25141964] -5.596645160069877 ;\n", + "Epoch 840/1000, Cost: 7.0120\n", + " and the parameters are [-3.15504009 4.25131381] -5.5967413315546795 ;\n", + "Epoch 840/1000, Cost: 3.5019\n", + " and the parameters are [-3.15507249 4.25124088] -5.596793400752915 ;\n", + "Epoch 840/1000, Cost: 1.3359\n", + " and the parameters are [-3.15505363 4.25125876] -5.596813206292567 ;\n", + "Epoch 840/1000, Cost: 2.9401\n", + " and the parameters are [-3.15502002 4.25129898] -5.59681881982081 ;\n", + "Epoch 840/1000, Cost: 5.0344\n", + " and the parameters are [-3.15505915 4.25108507] -5.5969515299279315 ;\n", + "Epoch 840/1000, Cost: 3.6666\n", + " and the parameters are [-3.15502157 4.25106637] -5.597003680917872 ;\n", + "Epoch 840/1000, Cost: 3.1974\n", + " and the parameters are [-3.15500592 4.25111554] -5.59698316136602 ;\n", + "Epoch 840/1000, Cost: 1.8041\n", + " and the parameters are [-3.15500113 4.25119358] -5.596950873488431 ;\n", + "Epoch 840/1000, Cost: 1.9342\n", + " and the parameters are [-3.15499009 4.25121859] -5.59696156934583 ;\n", + "Epoch 840/1000, Cost: 1.8765\n", + " and the parameters are [-3.15498617 4.25125624] -5.596963665915706 ;\n", + "Epoch 840/1000, Cost: 2.3261\n", + " and the parameters are [-3.15497867 4.25135911] -5.596906269181 ;\n", + "Epoch 840/1000, Cost: 3.9498\n", + " and the parameters are [-3.15497736 4.25140822] -5.5968761106712135 ;\n", + "Epoch 840/1000, Cost: 1.1731\n", + " and the parameters are [-3.1549468 4.25142845] -5.596902659865184 ;\n", + "Epoch 840/1000, Cost: 1.9787\n", + " and the parameters are [-3.15492136 4.2515442 ] -5.59686002460683 ;\n", + "Epoch 840/1000, Cost: 1.6970\n", + " and the parameters are [-3.15496786 4.25155428] -5.596855962122798 ;\n", + "Epoch 840/1000, Cost: 4.7274\n", + " and the parameters are [-3.15498726 4.25145327] -5.5969043492124735 ;\n", + "Epoch 840/1000, Cost: 4.9224\n", + " and the parameters are [-3.15496761 4.25148107] -5.596886111160225 ;\n", + "Epoch 840/1000, Cost: 2.4567\n", + " and the parameters are [-3.15497297 4.25149535] -5.596904529049169 ;\n", + "Epoch 840/1000, Cost: 3.0000\n", + " and the parameters are [-3.15489013 4.25151729] -5.596948515235409 ;\n", + "Epoch 840/1000, Cost: 3.0129\n", + " and the parameters are [-3.15490225 4.25145936] -5.597001482983659 ;\n", + "Epoch 840/1000, Cost: 1.5432\n", + " and the parameters are [-3.15487673 4.25152036] -5.596996569361457 ;\n", + "Epoch 840/1000, Cost: 1.6459\n", + " and the parameters are [-3.15483125 4.25155349] -5.5970216086741384 ;\n", + "Epoch 840/1000, Cost: 5.3579\n", + " and the parameters are [-3.15489137 4.25147747] -5.597043734777208 ;\n", + "Epoch 840/1000, Cost: 1.2072\n", + " and the parameters are [-3.15492946 4.25146564] -5.5970551861199205 ;\n", + "Epoch 840/1000, Cost: 6.9333\n", + " and the parameters are [-3.15494838 4.25133481] -5.597129009853185 ;\n", + "Epoch 840/1000, Cost: 2.6955\n", + " and the parameters are [-3.15494853 4.25124988] -5.597205125771881 ;\n", + "Epoch 840/1000, Cost: 3.8090\n", + " and the parameters are [-3.15493176 4.25138064] -5.597124833304829 ;\n", + "Epoch 840/1000, Cost: 1.5795\n", + " and the parameters are [-3.15490486 4.25147572] -5.597093060362532 ;\n", + "Epoch 840/1000, Cost: 3.4588\n", + " and the parameters are [-3.15491316 4.25150942] -5.597081026694338 ;\n", + "Epoch 840/1000, Cost: 1.2129\n", + " and the parameters are [-3.15489865 4.25150141] -5.59710816188601 ;\n", + "Epoch 840/1000, Cost: 2.0362\n", + " and the parameters are [-3.1549044 4.25158668] -5.597064588930962 ;\n", + "Epoch 840/1000, Cost: 1.9834\n", + " and the parameters are [-3.15494145 4.25154627] -5.597095255176871 ;\n", + "Epoch 840/1000, Cost: 0.9775\n", + " and the parameters are [-3.15495694 4.25155951] -5.597096665819215 ;\n", + "Epoch 840/1000, Cost: 1.0887\n", + " and the parameters are [-3.1549468 4.25159711] -5.597093549175442 ;\n", + "Epoch 840/1000, Cost: 4.3433\n", + " and the parameters are [-3.1549304 4.25167787] -5.597059453253204 ;\n", + "Epoch 840/1000, Cost: 8.3275\n", + " and the parameters are [-3.15482711 4.25180069] -5.597003022693635 ;\n", + "Epoch 840/1000, Cost: 3.0302\n", + " and the parameters are [-3.15479116 4.25175817] -5.597076527526764 ;\n", + "Epoch 840/1000, Cost: 3.0298\n", + " and the parameters are [-3.15484667 4.2517377 ] -5.597084675360189 ;\n", + "Epoch 840/1000, Cost: 4.7781\n", + " and the parameters are [-3.15483681 4.25165054] -5.597149524606593 ;\n", + "Epoch 840/1000, Cost: 2.5989\n", + " and the parameters are [-3.15487971 4.25168757] -5.597112736381056 ;\n", + "Epoch 840/1000, Cost: 2.7105\n", + " and the parameters are [-3.15490483 4.25159773] -5.597187990799658 ;\n", + "Epoch 840/1000, Cost: 2.7216\n", + " and the parameters are [-3.15487495 4.25158116] -5.597239751934225 ;\n", + "Epoch 840/1000, Cost: 2.6612\n", + " and the parameters are [-3.15488582 4.25163641] -5.597223774100564 ;\n", + "Epoch 840/1000, Cost: 2.3795\n", + " and the parameters are [-3.15491249 4.25164603] -5.5972225932717805 ;\n", + "Epoch 840/1000, Cost: 6.1839\n", + " and the parameters are [-3.15483487 4.2518277 ] -5.5971192585902045 ;\n", + "Epoch 840/1000, Cost: 2.2002\n", + " and the parameters are [-3.15483372 4.25191552] -5.597077119490667 ;\n", + "Epoch 840/1000, Cost: 7.1542\n", + " and the parameters are [-3.15479617 4.25201115] -5.597001046530519 ;\n", + "Epoch 840/1000, Cost: 3.4605\n", + " and the parameters are [-3.15481063 4.25197897] -5.597030628221793 ;\n", + "Epoch 840/1000, Cost: 1.5582\n", + " and the parameters are [-3.15478477 4.25201677] -5.597033615702236 ;\n", + "Epoch 840/1000, Cost: 1.2926\n", + " and the parameters are [-3.15482257 4.25202164] -5.5970350339194335 ;\n", + "Epoch 840/1000, Cost: 5.0092\n", + " and the parameters are [-3.15483205 4.25206114] -5.597015635231448 ;\n", + "Epoch 840/1000, Cost: 2.0892\n", + " and the parameters are [-3.15479894 4.25213346] -5.597008127056042 ;\n", + "Epoch 840/1000, Cost: 1.4385\n", + " and the parameters are [-3.15478253 4.25213239] -5.597039291645225 ;\n", + "Epoch 840/1000, Cost: 2.4252\n", + " and the parameters are [-3.15480435 4.25211169] -5.597058522579641 ;\n", + "Epoch 840/1000, Cost: 2.2681\n", + " and the parameters are [-3.15485561 4.25213896] -5.5970330709779725 ;\n", + "Epoch 840/1000, Cost: 4.4005\n", + " and the parameters are [-3.15483575 4.25211395] -5.597080334205826 ;\n", + "Epoch 840/1000, Cost: 4.2458\n", + " and the parameters are [-3.15480852 4.2520908 ] -5.597120680699275 ;\n", + "Epoch 840/1000, Cost: 1.4461\n", + " and the parameters are [-3.15481535 4.25213618] -5.5971109338761185 ;\n", + "Epoch 840/1000, Cost: 7.9019\n", + " and the parameters are [-3.15479191 4.25226953] -5.596993158896517 ;\n", + "Epoch 840/1000, Cost: 2.7266\n", + " and the parameters are [-3.15477918 4.25228851] -5.5969913814088486 ;\n", + "Epoch 840/1000, Cost: 3.7061\n", + " and the parameters are [-3.15480724 4.25224683] -5.5970388406486045 ;\n", + "Epoch 840/1000, Cost: 2.4715\n", + " and the parameters are [-3.15482392 4.25216783] -5.597123384666025 ;\n", + "Epoch 840/1000, Cost: 2.1364\n", + " and the parameters are [-3.15485768 4.25217795] -5.597113409294771 ;\n", + "Epoch 840/1000, Cost: 3.9660\n", + " and the parameters are [-3.15489858 4.25205083] -5.597194086721765 ;\n", + "Epoch 840/1000, Cost: 3.1775\n", + " and the parameters are [-3.15481942 4.25212673] -5.597197952529644 ;\n", + "Epoch 840/1000, Cost: 3.8022\n", + " and the parameters are [-3.15479357 4.25211714] -5.597234038363231 ;\n", + "Epoch 840/1000, Cost: 2.9512\n", + " and the parameters are [-3.15484927 4.25202698] -5.597289035501271 ;\n", + "Epoch 840/1000, Cost: 4.3628\n", + " and the parameters are [-3.15490281 4.25199359] -5.597289962303473 ;\n", + "Epoch 840/1000, Cost: 1.9320\n", + " and the parameters are [-3.15489267 4.25196632] -5.5973351574827825 ;\n", + "Epoch 840/1000, Cost: 1.0739\n", + " and the parameters are [-3.15485985 4.2520183 ] -5.5973355115607575 ;\n", + "Epoch 840/1000, Cost: 3.5899\n", + " and the parameters are [-3.15494913 4.25204 ] -5.59728018556512 ;\n", + "Epoch 840/1000, Cost: 1.9689\n", + " and the parameters are [-3.15495448 4.252097 ] -5.597260382254177 ;\n", + "Epoch 840/1000, Cost: 1.9401\n", + " and the parameters are [-3.15496445 4.25217188] -5.597223797188956 ;\n", + "Epoch 840/1000, Cost: 2.6606\n", + " and the parameters are [-3.15491243 4.25213808] -5.597290604407486 ;\n", + "Epoch 840/1000, Cost: 4.0505\n", + " and the parameters are [-3.15500901 4.25200494] -5.597359217491943 ;\n", + "Epoch 840/1000, Cost: 8.1872\n", + " and the parameters are [-3.15511195 4.25187196] -5.597363407241752 ;\n", + "Epoch 840/1000, Cost: 6.4841\n", + " and the parameters are [-3.15511754 4.25177527] -5.597420092334947 ;\n", + "Epoch 840/1000, Cost: 3.1428\n", + " and the parameters are [-3.15515425 4.25165702] -5.597491052116216 ;\n", + "Epoch 840/1000, Cost: 2.1954\n", + " and the parameters are [-3.15513743 4.2517643 ] -5.597450408312596 ;\n", + "Epoch 840/1000, Cost: 3.0233\n", + " and the parameters are [-3.15520571 4.25169315] -5.597487343515001 ;\n", + "Epoch 840/1000, Cost: 3.3468\n", + " and the parameters are [-3.15526925 4.25165592] -5.597485120319071 ;\n", + "Epoch 840/1000, Cost: 2.6041\n", + " and the parameters are [-3.15527065 4.2516619 ] -5.597506405255015 ;\n", + "Epoch 840/1000, Cost: 2.7725\n", + " and the parameters are [-3.1552222 4.25162506] -5.597594714422351 ;\n", + "Epoch 840/1000, Cost: 3.9984\n", + " and the parameters are [-3.15517484 4.25176633] -5.5975283004855845 ;\n", + "Epoch 840/1000, Cost: 1.9527\n", + " and the parameters are [-3.15516895 4.25175064] -5.597568417426298 ;\n", + "Epoch 840/1000, Cost: 2.6330\n", + " and the parameters are [-3.1551577 4.25179528] -5.597568347898706 ;\n", + "Epoch 840/1000, Cost: 3.8647\n", + " and the parameters are [-3.15514898 4.25167109] -5.597670780968714 ;\n", + "Epoch 840/1000, Cost: 2.8288\n", + " and the parameters are [-3.15516547 4.25171399] -5.597653334958917 ;\n", + "Epoch 840/1000, Cost: 2.2586\n", + " and the parameters are [-3.15515032 4.2517313 ] -5.597674314346564 ;\n", + "Epoch 840/1000, Cost: 3.8591\n", + " and the parameters are [-3.15516388 4.2516552 ] -5.597724737102809 ;\n", + "Epoch 840/1000, Cost: 3.5654\n", + " and the parameters are [-3.15515031 4.25176861] -5.597651744508838 ;\n", + "Epoch 840/1000, Cost: 3.8295\n", + " and the parameters are [-3.155137 4.25175455] -5.597694848981063 ;\n", + "Epoch 840/1000, Cost: 4.1672\n", + " and the parameters are [-3.15509752 4.25174001] -5.597744875888094 ;\n", + "Epoch 840/1000, Cost: 1.6195\n", + " and the parameters are [-3.15509622 4.25173036] -5.597771989463833 ;\n", + "Epoch 840/1000, Cost: 3.2925\n", + " and the parameters are [-3.15506169 4.2518207 ] -5.597755339713662 ;\n", + "Epoch 840/1000, Cost: 0.9605\n", + " and the parameters are [-3.15504277 4.25185389] -5.597761432088965 ;\n", + "Epoch 840/1000, Cost: 2.1585\n", + " and the parameters are [-3.15509354 4.25186015] -5.597751187081184 ;\n", + "Epoch 840/1000, Cost: 3.6875\n", + " and the parameters are [-3.15500241 4.25182426] -5.597843044011509 ;\n", + "Epoch 840/1000, Cost: 2.0292\n", + " and the parameters are [-3.15501605 4.25178342] -5.597891103878591 ;\n", + "Epoch 840/1000, Cost: 4.6057\n", + " and the parameters are [-3.1550959 4.25177906] -5.59786886909267 ;\n", + "Epoch 840/1000, Cost: 1.7555\n", + " and the parameters are [-3.1551243 4.25177149] -5.597876895425352 ;\n", + "Epoch 840/1000, Cost: 1.8537\n", + " and the parameters are [-3.15514828 4.25176548] -5.597894293136754 ;\n", + "Epoch 840/1000, Cost: 2.0090\n", + " and the parameters are [-3.15514988 4.25178708] -5.597892505300014 ;\n", + "Epoch 840/1000, Cost: 1.1977\n", + " and the parameters are [-3.15518045 4.25181074] -5.597874301828842 ;\n", + "Epoch 840/1000, Cost: 1.0901\n", + " and the parameters are [-3.15520239 4.25180728] -5.59788583846094 ;\n", + "Epoch 840/1000, Cost: 1.5618\n", + " and the parameters are [-3.1552665 4.25182731] -5.597853311827257 ;\n", + "Epoch 840/1000, Cost: 5.4358\n", + " and the parameters are [-3.15536525 4.2516531 ] -5.597928889600202 ;\n", + "Epoch 840/1000, Cost: 3.9482\n", + " and the parameters are [-3.15531262 4.25171856] -5.597935031849734 ;\n", + "Epoch 840/1000, Cost: 2.3148\n", + " and the parameters are [-3.15535831 4.25167661] -5.59797074093931 ;\n", + "Epoch 840/1000, Cost: 2.6927\n", + " and the parameters are [-3.15545076 4.25160323] -5.598001089942896 ;\n", + "Epoch 840/1000, Cost: 2.6008\n", + " and the parameters are [-3.15540084 4.25156462] -5.598082003147164 ;\n", + "Epoch 840/1000, Cost: 3.3863\n", + " and the parameters are [-3.15547151 4.25156586] -5.598058706174492 ;\n", + "Epoch 840/1000, Cost: 1.8438\n", + " and the parameters are [-3.15542343 4.2515993 ] -5.598086792400125 ;\n", + "Epoch 840/1000, Cost: 2.3614\n", + " and the parameters are [-3.15540782 4.25166197] -5.5980774678557355 ;\n", + "Epoch 840/1000, Cost: 5.8274\n", + " and the parameters are [-3.15546199 4.25163825] -5.598074031848576 ;\n", + "Epoch 840/1000, Cost: 3.2856\n", + " and the parameters are [-3.15550337 4.25169418] -5.598004699501669 ;\n", + "Epoch 840/1000, Cost: 2.4173\n", + " and the parameters are [-3.15550928 4.25171328] -5.5979984554182805 ;\n", + "Epoch 840/1000, Cost: 2.2280\n", + " and the parameters are [-3.15553977 4.25174683] -5.59797688674557 ;\n", + "Epoch 840/1000, Cost: 1.0140\n", + " and the parameters are [-3.15549067 4.25182798] -5.597959760349537 ;\n", + "Epoch 840/1000, Cost: 2.4645\n", + " and the parameters are [-3.15552281 4.25177808] -5.597986209464389 ;\n", + "Epoch 840/1000, Cost: 2.0061\n", + " and the parameters are [-3.15553187 4.25185635] -5.597939596085559 ;\n", + "Epoch 840/1000, Cost: 3.0384\n", + " and the parameters are [-3.15557032 4.25175323] -5.598010541666488 ;\n", + "Epoch 840/1000, Cost: 3.0145\n", + " and the parameters are [-3.15555416 4.2518196 ] -5.597981131809794 ;\n", + "Epoch 840/1000, Cost: 3.0906\n", + " and the parameters are [-3.15547728 4.25198508] -5.5979226844372505 ;\n", + "Epoch 840/1000, Cost: 1.8993\n", + " and the parameters are [-3.15547498 4.25202214] -5.597913450375874 ;\n", + "Epoch 840/1000, Cost: 3.6498\n", + " and the parameters are [-3.15552312 4.25206573] -5.597867483999165 ;\n", + "Epoch 840/1000, Cost: 3.2119\n", + " and the parameters are [-3.15558133 4.25208334] -5.597837478557623 ;\n", + "Epoch 840/1000, Cost: 5.6196\n", + " and the parameters are [-3.15545751 4.2521402 ] -5.597852399279028 ;\n", + "Epoch 840/1000, Cost: 3.8182\n", + " and the parameters are [-3.15549155 4.25209427] -5.597891769057178 ;\n", + "Epoch 840/1000, Cost: 2.9477\n", + " and the parameters are [-3.15549341 4.25205623] -5.597938896271055 ;\n", + "Epoch 840/1000, Cost: 2.9632\n", + " and the parameters are [-3.15556492 4.25195257] -5.5979960315752555 ;\n", + "Epoch 840/1000, Cost: 3.5446\n", + " and the parameters are [-3.15554325 4.25201834] -5.597982651971493 ;\n", + "Epoch 840/1000, Cost: 4.7386\n", + " and the parameters are [-3.15553548 4.25208179] -5.597947138688539 ;\n", + "Epoch 840/1000, Cost: 2.8556\n", + " and the parameters are [-3.15555464 4.25219318] -5.597877586665038 ;\n", + "Epoch 840/1000, Cost: 2.9824\n", + " and the parameters are [-3.15559016 4.25212569] -5.597925401503628 ;\n", + "Epoch 840/1000, Cost: 2.5086\n", + " and the parameters are [-3.15558196 4.25210817] -5.597970748757864 ;\n", + "Epoch 840/1000, Cost: 2.4042\n", + " and the parameters are [-3.15562163 4.2520331 ] -5.598028597523112 ;\n", + "Epoch 840/1000, Cost: 6.0639\n", + " and the parameters are [-3.15570787 4.25196717] -5.598021381929946 ;\n", + "Epoch 840/1000, Cost: 0.8108\n", + " and the parameters are [-3.15568113 4.25199122] -5.598037366884513 ;\n", + "Epoch 840/1000, Cost: 2.4214\n", + " and the parameters are [-3.15563957 4.25194992] -5.598092680763903 ;\n", + "Epoch 840/1000, Cost: 4.5754\n", + " and the parameters are [-3.15561098 4.2518904 ] -5.598176737403314 ;\n", + "Epoch 840/1000, Cost: 1.4883\n", + " and the parameters are [-3.1556213 4.25188274] -5.598195070676828 ;\n", + "Epoch 840/1000, Cost: 6.4490\n", + " and the parameters are [-3.1555847 4.25187128] -5.598222482934588 ;\n", + "Epoch 840/1000, Cost: 2.1075\n", + " and the parameters are [-3.15558355 4.25192033] -5.598209772142966 ;\n", + "Epoch 840/1000, Cost: 2.2546\n", + " and the parameters are [-3.15560167 4.2519341 ] -5.598207852734399 ;\n", + "Epoch 840/1000, Cost: 1.9410\n", + " and the parameters are [-3.15554334 4.25205629] -5.598173066245317 ;\n", + "Epoch 840/1000, Cost: 3.8839\n", + " and the parameters are [-3.1555656 4.25197112] -5.5982215168182625 ;\n", + "Epoch 840/1000, Cost: 1.3461\n", + " and the parameters are [-3.15555243 4.25203327] -5.5982048821497274 ;\n", + "Epoch 840/1000, Cost: 2.5550\n", + " and the parameters are [-3.15560178 4.25203479] -5.598201965123112 ;\n", + "Epoch 840/1000, Cost: 2.2565\n", + " and the parameters are [-3.15562342 4.25201521] -5.598231590717939 ;\n", + "Epoch 840/1000, Cost: 3.0193\n", + " and the parameters are [-3.15564976 4.25189502] -5.598324835339525 ;\n", + "Epoch 840/1000, Cost: 1.0320\n", + " and the parameters are [-3.15566167 4.25189375] -5.5983420411057505 ;\n", + "Epoch 840/1000, Cost: 8.1204\n", + " and the parameters are [-3.15568519 4.25198001] -5.5982453099915785 ;\n", + "Epoch 840/1000, Cost: 6.0068\n", + " and the parameters are [-3.15580937 4.25180822] -5.598319213722048 ;\n", + "Epoch 840/1000, Cost: 1.6870\n", + " and the parameters are [-3.15578075 4.25190128] -5.598284924720491 ;\n", + "Epoch 840/1000, Cost: 0.7923\n", + " and the parameters are [-3.15576036 4.25190023] -5.598312491089308 ;\n", + "Epoch 840/1000, Cost: 1.1751\n", + " and the parameters are [-3.15572679 4.25192145] -5.598330641347746 ;\n", + "Epoch 840/1000, Cost: 1.3944\n", + " and the parameters are [-3.15573355 4.25194809] -5.5983281109959675 ;\n", + "Epoch 850/1000, Cost: 1.6550\n", + " and the parameters are [-3.16431163 4.26273152] -5.61355381829211 ;\n", + "Epoch 850/1000, Cost: 2.4050\n", + " and the parameters are [-3.16424934 4.26279924] -5.613563831150866 ;\n", + "Epoch 850/1000, Cost: 2.9595\n", + " and the parameters are [-3.16433851 4.26276381] -5.613560006573322 ;\n", + "Epoch 850/1000, Cost: 4.3448\n", + " and the parameters are [-3.16433345 4.26282758] -5.613531876111184 ;\n", + "Epoch 850/1000, Cost: 2.4170\n", + " and the parameters are [-3.1643159 4.26293719] -5.6134891496444 ;\n", + "Epoch 850/1000, Cost: 2.5734\n", + " and the parameters are [-3.1643025 4.26300314] -5.613470439613486 ;\n", + "Epoch 850/1000, Cost: 1.4690\n", + " and the parameters are [-3.16430934 4.26307584] -5.613437868928023 ;\n", + "Epoch 850/1000, Cost: 2.2319\n", + " and the parameters are [-3.16429016 4.26309802] -5.613455441835947 ;\n", + "Epoch 850/1000, Cost: 6.5836\n", + " and the parameters are [-3.16418669 4.26311721] -5.613473450469466 ;\n", + "Epoch 850/1000, Cost: 4.0796\n", + " and the parameters are [-3.16417088 4.26312622] -5.613494316213281 ;\n", + "Epoch 850/1000, Cost: 1.4086\n", + " and the parameters are [-3.16419153 4.26317068] -5.613471532059347 ;\n", + "Epoch 850/1000, Cost: 1.7206\n", + " and the parameters are [-3.1642287 4.26311485] -5.613508225581146 ;\n", + "Epoch 850/1000, Cost: 5.8062\n", + " and the parameters are [-3.16422298 4.26307515] -5.613524376925064 ;\n", + "Epoch 850/1000, Cost: 3.6407\n", + " and the parameters are [-3.16425467 4.262987 ] -5.613588664091902 ;\n", + "Epoch 850/1000, Cost: 3.0455\n", + " and the parameters are [-3.16425938 4.26304596] -5.613565073287276 ;\n", + "Epoch 850/1000, Cost: 1.2419\n", + " and the parameters are [-3.16425384 4.26312051] -5.613534710323026 ;\n", + "Epoch 850/1000, Cost: 2.9795\n", + " and the parameters are [-3.16419673 4.26319078] -5.61353977334487 ;\n", + "Epoch 850/1000, Cost: 1.9982\n", + " and the parameters are [-3.16418501 4.26326342] -5.613525518233106 ;\n", + "Epoch 850/1000, Cost: 3.3566\n", + " and the parameters are [-3.16425423 4.26315224] -5.613585747541906 ;\n", + "Epoch 850/1000, Cost: 3.6152\n", + " and the parameters are [-3.16418207 4.26318052] -5.613624041734238 ;\n", + "Epoch 850/1000, Cost: 3.7096\n", + " and the parameters are [-3.16412163 4.26315336] -5.613685747652062 ;\n", + "Epoch 850/1000, Cost: 2.4180\n", + " and the parameters are [-3.16410928 4.26309177] -5.613746713178421 ;\n", + "Epoch 850/1000, Cost: 2.9142\n", + " and the parameters are [-3.16415532 4.26307552] -5.613761959608857 ;\n", + "Epoch 850/1000, Cost: 1.5238\n", + " and the parameters are [-3.16413774 4.26308969] -5.61378784847609 ;\n", + "Epoch 850/1000, Cost: 3.0611\n", + " and the parameters are [-3.16415706 4.26314091] -5.613754940263415 ;\n", + "Epoch 850/1000, Cost: 3.2993\n", + " and the parameters are [-3.16419909 4.26312743] -5.613766775971552 ;\n", + "Epoch 850/1000, Cost: 2.6017\n", + " and the parameters are [-3.16424297 4.26307812] -5.6138048984331475 ;\n", + "Epoch 850/1000, Cost: 1.7418\n", + " and the parameters are [-3.16422672 4.26313703] -5.613791826658887 ;\n", + "Epoch 850/1000, Cost: 1.9470\n", + " and the parameters are [-3.16420949 4.26320756] -5.6137826521488945 ;\n", + "Epoch 850/1000, Cost: 5.8728\n", + " and the parameters are [-3.16427927 4.26315965] -5.613788333092022 ;\n", + "Epoch 850/1000, Cost: 0.9169\n", + " and the parameters are [-3.16426844 4.26320957] -5.6137750073890835 ;\n", + "Epoch 850/1000, Cost: 1.2498\n", + " and the parameters are [-3.16427631 4.26323407] -5.613770620411392 ;\n", + "Epoch 850/1000, Cost: 2.9608\n", + " and the parameters are [-3.16433735 4.26320171] -5.61378097136058 ;\n", + "Epoch 850/1000, Cost: 1.7437\n", + " and the parameters are [-3.16433484 4.26326723] -5.613761838848519 ;\n", + "Epoch 850/1000, Cost: 1.2285\n", + " and the parameters are [-3.16433662 4.26326914] -5.6137844096934035 ;\n", + "Epoch 850/1000, Cost: 1.5311\n", + " and the parameters are [-3.16434958 4.26335074] -5.6137488032617195 ;\n", + "Epoch 850/1000, Cost: 2.7410\n", + " and the parameters are [-3.16433156 4.26335394] -5.613768329840141 ;\n", + "Epoch 850/1000, Cost: 4.4654\n", + " and the parameters are [-3.16425973 4.26332253] -5.613838305256556 ;\n", + "Epoch 850/1000, Cost: 5.0300\n", + " and the parameters are [-3.16433286 4.26314356] -5.613933472010653 ;\n", + "Epoch 850/1000, Cost: 6.5325\n", + " and the parameters are [-3.16439621 4.26307953] -5.613942959256815 ;\n", + "Epoch 850/1000, Cost: 2.2465\n", + " and the parameters are [-3.16442757 4.26313056] -5.613910834311581 ;\n", + "Epoch 850/1000, Cost: 1.6645\n", + " and the parameters are [-3.16445824 4.2631473 ] -5.613905243866889 ;\n", + "Epoch 850/1000, Cost: 1.0299\n", + " and the parameters are [-3.16445559 4.26319161] -5.613885463578803 ;\n", + "Epoch 850/1000, Cost: 7.5681\n", + " and the parameters are [-3.16450387 4.2631509 ] -5.613851036696434 ;\n", + "Epoch 850/1000, Cost: 4.8999\n", + " and the parameters are [-3.16445299 4.2632011 ] -5.613845041589401 ;\n", + "Epoch 850/1000, Cost: 2.4936\n", + " and the parameters are [-3.16445211 4.26319891] -5.613865548219802 ;\n", + "Epoch 850/1000, Cost: 2.0256\n", + " and the parameters are [-3.16442688 4.26322825] -5.613886214547463 ;\n", + "Epoch 850/1000, Cost: 1.1318\n", + " and the parameters are [-3.16444531 4.26324828] -5.613880968021366 ;\n", + "Epoch 850/1000, Cost: 1.0145\n", + " and the parameters are [-3.16445944 4.26325697] -5.613886995025994 ;\n", + "Epoch 850/1000, Cost: 3.2771\n", + " and the parameters are [-3.16447121 4.26322337] -5.61393520965869 ;\n", + "Epoch 850/1000, Cost: 2.3141\n", + " and the parameters are [-3.16452548 4.26320516] -5.613944202051958 ;\n", + "Epoch 850/1000, Cost: 3.0672\n", + " and the parameters are [-3.1645428 4.26325095] -5.6139289376053885 ;\n", + "Epoch 850/1000, Cost: 4.3542\n", + " and the parameters are [-3.16457724 4.2631447 ] -5.613994732192221 ;\n", + "Epoch 850/1000, Cost: 4.0449\n", + " and the parameters are [-3.16458184 4.26313125] -5.614014718400175 ;\n", + "Epoch 850/1000, Cost: 1.0493\n", + " and the parameters are [-3.1646088 4.26313304] -5.614017782885503 ;\n", + "Epoch 850/1000, Cost: 2.9446\n", + " and the parameters are [-3.1645678 4.26307663] -5.614098221466103 ;\n", + "Epoch 850/1000, Cost: 2.7535\n", + " and the parameters are [-3.16450151 4.26312778] -5.614110417265911 ;\n", + "Epoch 850/1000, Cost: 3.6215\n", + " and the parameters are [-3.16447201 4.26316538] -5.614126410319512 ;\n", + "Epoch 850/1000, Cost: 3.1365\n", + " and the parameters are [-3.16446353 4.26325712] -5.614084965150757 ;\n", + "Epoch 850/1000, Cost: 6.9479\n", + " and the parameters are [-3.16450109 4.26304083] -5.614223255562018 ;\n", + "Epoch 850/1000, Cost: 5.0569\n", + " and the parameters are [-3.16454735 4.26285532] -5.614338171027772 ;\n", + "Epoch 850/1000, Cost: 3.5382\n", + " and the parameters are [-3.16458713 4.26293607] -5.614262293654805 ;\n", + "Epoch 850/1000, Cost: 2.0070\n", + " and the parameters are [-3.16450411 4.26298779] -5.614289069090172 ;\n", + "Epoch 850/1000, Cost: 1.5017\n", + " and the parameters are [-3.16450896 4.26297615] -5.614321591045704 ;\n", + "Epoch 850/1000, Cost: 1.7927\n", + " and the parameters are [-3.16449645 4.26305359] -5.614283137385715 ;\n", + "Epoch 850/1000, Cost: 2.5231\n", + " and the parameters are [-3.16451323 4.26299056] -5.614346070944562 ;\n", + "Epoch 850/1000, Cost: 7.8616\n", + " and the parameters are [-3.16447291 4.26315454] -5.614234760262595 ;\n", + "Epoch 850/1000, Cost: 4.8695\n", + " and the parameters are [-3.16456001 4.26328954] -5.614100776485218 ;\n", + "Epoch 850/1000, Cost: 1.3693\n", + " and the parameters are [-3.16457563 4.26327031] -5.614132736990874 ;\n", + "Epoch 850/1000, Cost: 1.7572\n", + " and the parameters are [-3.16456417 4.26334879] -5.6141065738739515 ;\n", + "Epoch 850/1000, Cost: 1.0043\n", + " and the parameters are [-3.16460166 4.26332892] -5.6141216639379685 ;\n", + "Epoch 850/1000, Cost: 6.7834\n", + " and the parameters are [-3.16461364 4.26322876] -5.614176629464262 ;\n", + "Epoch 850/1000, Cost: 0.9814\n", + " and the parameters are [-3.1646157 4.26323684] -5.614186545636208 ;\n", + "Epoch 850/1000, Cost: 4.8179\n", + " and the parameters are [-3.16463003 4.26334897] -5.614121246480408 ;\n", + "Epoch 850/1000, Cost: 2.3251\n", + " and the parameters are [-3.16467646 4.26336091] -5.6141182832479055 ;\n", + "Epoch 850/1000, Cost: 4.1176\n", + " and the parameters are [-3.16470239 4.26340906] -5.6140873930599255 ;\n", + "Epoch 850/1000, Cost: 6.6879\n", + " and the parameters are [-3.16465745 4.26330907] -5.614178192503047 ;\n", + "Epoch 850/1000, Cost: 2.0093\n", + " and the parameters are [-3.16463772 4.2632722 ] -5.614234896886814 ;\n", + "Epoch 850/1000, Cost: 8.3350\n", + " and the parameters are [-3.16465525 4.26313954] -5.614290449621134 ;\n", + "Epoch 850/1000, Cost: 2.4787\n", + " and the parameters are [-3.16468481 4.26318194] -5.614267200232806 ;\n", + "Epoch 850/1000, Cost: 5.7913\n", + " and the parameters are [-3.16466323 4.26317764] -5.614283941909334 ;\n", + "Epoch 850/1000, Cost: 2.4626\n", + " and the parameters are [-3.16467388 4.26311472] -5.614343466706361 ;\n", + "Epoch 850/1000, Cost: 1.2535\n", + " and the parameters are [-3.16469211 4.26311828] -5.614356308186254 ;\n", + "Epoch 850/1000, Cost: 4.3970\n", + " and the parameters are [-3.1647264 4.26307651] -5.614375557065687 ;\n", + "Epoch 850/1000, Cost: 1.1708\n", + " and the parameters are [-3.1647426 4.26309361] -5.6143748704219245 ;\n", + "Epoch 850/1000, Cost: 1.1420\n", + " and the parameters are [-3.16476707 4.26307256] -5.614396439130355 ;\n", + "Epoch 850/1000, Cost: 2.3620\n", + " and the parameters are [-3.16471486 4.26314104] -5.614402047305244 ;\n", + "Epoch 850/1000, Cost: 1.4637\n", + " and the parameters are [-3.16470396 4.26312635] -5.614448463732343 ;\n", + "Epoch 850/1000, Cost: 1.0420\n", + " and the parameters are [-3.16472992 4.26313766] -5.6144447593558615 ;\n", + "Epoch 850/1000, Cost: 1.0242\n", + " and the parameters are [-3.16473666 4.26314616] -5.614455473275303 ;\n", + "Epoch 850/1000, Cost: 4.2308\n", + " and the parameters are [-3.16474153 4.26314286] -5.61446234737027 ;\n", + "Epoch 850/1000, Cost: 1.9881\n", + " and the parameters are [-3.16471135 4.26320175] -5.614463078857118 ;\n", + "Epoch 850/1000, Cost: 3.9265\n", + " and the parameters are [-3.16482094 4.26321544] -5.6143989060692725 ;\n", + "Epoch 850/1000, Cost: 1.2485\n", + " and the parameters are [-3.16482097 4.26324886] -5.614394866969095 ;\n", + "Epoch 850/1000, Cost: 5.3182\n", + " and the parameters are [-3.16475811 4.26343811] -5.614295052591002 ;\n", + "Epoch 850/1000, Cost: 2.7311\n", + " and the parameters are [-3.16474366 4.26342968] -5.614323675604032 ;\n", + "Epoch 850/1000, Cost: 8.1085\n", + " and the parameters are [-3.16479285 4.2632928 ] -5.614384998643833 ;\n", + "Epoch 850/1000, Cost: 5.4285\n", + " and the parameters are [-3.16489871 4.26316325] -5.614432259552548 ;\n", + "Epoch 850/1000, Cost: 3.2275\n", + " and the parameters are [-3.1648607 4.26321816] -5.614432393131029 ;\n", + "Epoch 850/1000, Cost: 5.9940\n", + " and the parameters are [-3.16492023 4.26326136] -5.614369601101419 ;\n", + "Epoch 850/1000, Cost: 3.3231\n", + " and the parameters are [-3.16489213 4.26332328] -5.614342647543417 ;\n", + "Epoch 850/1000, Cost: 1.3957\n", + " and the parameters are [-3.16489912 4.26334831] -5.614345185780786 ;\n", + "Epoch 850/1000, Cost: 6.4229\n", + " and the parameters are [-3.16492401 4.26335445] -5.614322765173745 ;\n", + "Epoch 850/1000, Cost: 1.3195\n", + " and the parameters are [-3.16497175 4.26337706] -5.614296114394481 ;\n", + "Epoch 850/1000, Cost: 3.4155\n", + " and the parameters are [-3.1649302 4.26336963] -5.614341218128438 ;\n", + "Epoch 850/1000, Cost: 1.2393\n", + " and the parameters are [-3.16492065 4.26341824] -5.6143328082641615 ;\n", + "Epoch 850/1000, Cost: 4.6569\n", + " and the parameters are [-3.16495133 4.26338646] -5.614346275958638 ;\n", + "Epoch 850/1000, Cost: 2.5774\n", + " and the parameters are [-3.16493193 4.26349445] -5.614295184915328 ;\n", + "Epoch 850/1000, Cost: 0.6892\n", + " and the parameters are [-3.16492812 4.26350231] -5.614304426135686 ;\n", + "Epoch 850/1000, Cost: 4.8002\n", + " and the parameters are [-3.16496805 4.26361247] -5.614203604958307 ;\n", + "Epoch 850/1000, Cost: 4.6956\n", + " and the parameters are [-3.16494121 4.26371868] -5.614139825658199 ;\n", + "Epoch 850/1000, Cost: 5.7931\n", + " and the parameters are [-3.16492601 4.26361528] -5.614216326534037 ;\n", + "Epoch 850/1000, Cost: 3.2363\n", + " and the parameters are [-3.16481362 4.26376017] -5.614185685507056 ;\n", + "Epoch 850/1000, Cost: 1.1996\n", + " and the parameters are [-3.1647759 4.2638002] -5.614200306293136 ;\n", + "Epoch 850/1000, Cost: 1.4393\n", + " and the parameters are [-3.16480617 4.26374086] -5.614246594304139 ;\n", + "Epoch 850/1000, Cost: 2.5357\n", + " and the parameters are [-3.1648107 4.26377318] -5.614236565800806 ;\n", + "Epoch 850/1000, Cost: 1.3353\n", + " and the parameters are [-3.16484628 4.2637137 ] -5.614280689622708 ;\n", + "Epoch 850/1000, Cost: 8.8330\n", + " and the parameters are [-3.1648373 4.26382155] -5.6141807103388555 ;\n", + "Epoch 850/1000, Cost: 1.1224\n", + " and the parameters are [-3.16481012 4.26385188] -5.614187992945803 ;\n", + "Epoch 850/1000, Cost: 2.1247\n", + " and the parameters are [-3.16488433 4.26381239] -5.614201259110146 ;\n", + "Epoch 850/1000, Cost: 3.0677\n", + " and the parameters are [-3.16490741 4.2638129 ] -5.614217013477783 ;\n", + "Epoch 850/1000, Cost: 3.3096\n", + " and the parameters are [-3.16485899 4.26387211] -5.614208849067769 ;\n", + "Epoch 850/1000, Cost: 2.5278\n", + " and the parameters are [-3.16481848 4.26394937] -5.614197363492278 ;\n", + "Epoch 850/1000, Cost: 4.5820\n", + " and the parameters are [-3.16495533 4.26376675] -5.614267360422763 ;\n", + "Epoch 850/1000, Cost: 7.3332\n", + " and the parameters are [-3.16497069 4.26386752] -5.614174205656176 ;\n", + "Epoch 850/1000, Cost: 2.1041\n", + " and the parameters are [-3.16498483 4.26395005] -5.614126884255532 ;\n", + "Epoch 850/1000, Cost: 5.0376\n", + " and the parameters are [-3.16489794 4.2640932 ] -5.614078885587492 ;\n", + "Epoch 850/1000, Cost: 2.5977\n", + " and the parameters are [-3.16488313 4.26406482] -5.6141304096662195 ;\n", + "Epoch 850/1000, Cost: 2.0527\n", + " and the parameters are [-3.16491106 4.26399944] -5.614175316569977 ;\n", + "Epoch 850/1000, Cost: 1.3808\n", + " and the parameters are [-3.16492802 4.26400779] -5.6141834325479625 ;\n", + "Epoch 850/1000, Cost: 2.1035\n", + " and the parameters are [-3.16493419 4.26398925] -5.614207075204175 ;\n", + "Epoch 850/1000, Cost: 6.1056\n", + " and the parameters are [-3.16494249 4.26382851] -5.61432889736736 ;\n", + "Epoch 850/1000, Cost: 0.4249\n", + " and the parameters are [-3.16494088 4.26383508] -5.614337756743841 ;\n", + "Epoch 850/1000, Cost: 3.3553\n", + " and the parameters are [-3.16498075 4.26377213] -5.614389180287679 ;\n", + "Epoch 850/1000, Cost: 1.6753\n", + " and the parameters are [-3.1649941 4.26376333] -5.614410361469293 ;\n", + "Epoch 850/1000, Cost: 2.0572\n", + " and the parameters are [-3.16498606 4.26375327] -5.614452127488554 ;\n", + "Epoch 850/1000, Cost: 4.0557\n", + " and the parameters are [-3.16498898 4.26363173] -5.614574002512605 ;\n", + "Epoch 850/1000, Cost: 1.8055\n", + " and the parameters are [-3.16498664 4.26365525] -5.614583466234174 ;\n", + "Epoch 850/1000, Cost: 1.2412\n", + " and the parameters are [-3.16502883 4.26368369] -5.614559791298499 ;\n", + "Epoch 850/1000, Cost: 6.0706\n", + " and the parameters are [-3.16498298 4.26374188] -5.614533348875658 ;\n", + "Epoch 850/1000, Cost: 3.9986\n", + " and the parameters are [-3.16496441 4.26369196] -5.6145736018114665 ;\n", + "Epoch 850/1000, Cost: 1.9467\n", + " and the parameters are [-3.16494418 4.26377901] -5.614532790512551 ;\n", + "Epoch 850/1000, Cost: 7.6075\n", + " and the parameters are [-3.16496105 4.26373619] -5.614553493957692 ;\n", + "Epoch 850/1000, Cost: 2.0756\n", + " and the parameters are [-3.16493524 4.26381305] -5.614525498994663 ;\n", + "Epoch 850/1000, Cost: 1.8461\n", + " and the parameters are [-3.16493503 4.26389136] -5.614483574585849 ;\n", + "Epoch 850/1000, Cost: 0.8346\n", + " and the parameters are [-3.16492348 4.26394081] -5.614471194779017 ;\n", + "Epoch 850/1000, Cost: 4.7048\n", + " and the parameters are [-3.16500843 4.26394976] -5.614417137480637 ;\n", + "Epoch 850/1000, Cost: 3.6923\n", + " and the parameters are [-3.16497305 4.26406901] -5.6143607681804335 ;\n", + "Epoch 850/1000, Cost: 2.4401\n", + " and the parameters are [-3.16500766 4.26413892] -5.614304117744415 ;\n", + "Epoch 850/1000, Cost: 4.3144\n", + " and the parameters are [-3.16501928 4.26402724] -5.614399135690616 ;\n", + "Epoch 850/1000, Cost: 1.1313\n", + " and the parameters are [-3.16500757 4.26407351] -5.614397395524344 ;\n", + "Epoch 850/1000, Cost: 1.7451\n", + " and the parameters are [-3.16497137 4.26412596] -5.614394733237817 ;\n", + "Epoch 850/1000, Cost: 1.7995\n", + " and the parameters are [-3.16495876 4.26413909] -5.614411719622056 ;\n", + "Epoch 850/1000, Cost: 1.9918\n", + " and the parameters are [-3.16499728 4.26408162] -5.614445556182401 ;\n", + "Epoch 850/1000, Cost: 1.5648\n", + " and the parameters are [-3.16501392 4.26409839] -5.614442238185211 ;\n", + "Epoch 850/1000, Cost: 1.6264\n", + " and the parameters are [-3.16500282 4.26416618] -5.614424444708038 ;\n", + "Epoch 850/1000, Cost: 1.0785\n", + " and the parameters are [-3.16497219 4.26418503] -5.614446435029199 ;\n", + "Epoch 850/1000, Cost: 2.8434\n", + " and the parameters are [-3.16490376 4.26427508] -5.614439825129864 ;\n", + "Epoch 850/1000, Cost: 4.0529\n", + " and the parameters are [-3.16496097 4.2642681 ] -5.614429494527605 ;\n", + "Epoch 850/1000, Cost: 3.2126\n", + " and the parameters are [-3.16501444 4.26416766] -5.614491984787398 ;\n", + "Epoch 850/1000, Cost: 4.5244\n", + " and the parameters are [-3.16502447 4.26400044] -5.6146086978651315 ;\n", + "Epoch 850/1000, Cost: 1.0071\n", + " and the parameters are [-3.1650243 4.26402226] -5.614615987588444 ;\n", + "Epoch 850/1000, Cost: 2.6592\n", + " and the parameters are [-3.16506055 4.26403608] -5.614614212121165 ;\n", + "Epoch 850/1000, Cost: 3.2061\n", + " and the parameters are [-3.16504629 4.26403704] -5.61464531817927 ;\n", + "Epoch 850/1000, Cost: 0.8324\n", + " and the parameters are [-3.16503562 4.26405356] -5.614660682140289 ;\n", + "Epoch 850/1000, Cost: 2.7979\n", + " and the parameters are [-3.16503447 4.26405301] -5.6146945932312 ;\n", + "Epoch 850/1000, Cost: 1.2821\n", + " and the parameters are [-3.16505653 4.26399131] -5.61475014228339 ;\n", + "Epoch 850/1000, Cost: 2.2491\n", + " and the parameters are [-3.16509023 4.26388015] -5.614825905527584 ;\n", + "Epoch 850/1000, Cost: 2.8693\n", + " and the parameters are [-3.16514745 4.26377936] -5.614882472245964 ;\n", + "Epoch 850/1000, Cost: 1.6163\n", + " and the parameters are [-3.1651639 4.26383301] -5.614856445352707 ;\n", + "Epoch 850/1000, Cost: 2.1398\n", + " and the parameters are [-3.16513515 4.26381313] -5.614905188469017 ;\n", + "Epoch 850/1000, Cost: 1.4604\n", + " and the parameters are [-3.16513178 4.2638022 ] -5.614943376127799 ;\n", + "Epoch 850/1000, Cost: 0.4507\n", + " and the parameters are [-3.16513511 4.26382256] -5.614940568791024 ;\n", + "Epoch 850/1000, Cost: 5.0156\n", + " and the parameters are [-3.16507471 4.263767 ] -5.6150277929232635 ;\n", + "Epoch 850/1000, Cost: 1.8941\n", + " and the parameters are [-3.16513326 4.26370872] -5.615063086621327 ;\n", + "Epoch 850/1000, Cost: 2.9029\n", + " and the parameters are [-3.1651198 4.26380552] -5.615029176130265 ;\n", + "Epoch 850/1000, Cost: 3.6597\n", + " and the parameters are [-3.16518248 4.2638691 ] -5.614960724310091 ;\n", + "Epoch 850/1000, Cost: 1.5483\n", + " and the parameters are [-3.16520651 4.26389675] -5.614950037374046 ;\n", + "Epoch 850/1000, Cost: 5.1246\n", + " and the parameters are [-3.16521002 4.26382705] -5.615002201409217 ;\n", + "Epoch 850/1000, Cost: 2.2474\n", + " and the parameters are [-3.1652357 4.26378171] -5.615035634160791 ;\n", + "Epoch 850/1000, Cost: 1.0360\n", + " and the parameters are [-3.16523405 4.26380106] -5.615042824186576 ;\n", + "Epoch 850/1000, Cost: 1.7899\n", + " and the parameters are [-3.16527506 4.26376441] -5.615079987972585 ;\n", + "Epoch 850/1000, Cost: 3.0413\n", + " and the parameters are [-3.16530603 4.26379295] -5.615069137246779 ;\n", + "Epoch 850/1000, Cost: 4.5708\n", + " and the parameters are [-3.16524775 4.26379959] -5.615116944129445 ;\n", + "Epoch 850/1000, Cost: 5.4459\n", + " and the parameters are [-3.16524447 4.26378966] -5.615108495061114 ;\n", + "Epoch 850/1000, Cost: 1.2480\n", + " and the parameters are [-3.16528273 4.26374555] -5.615140338340681 ;\n", + "Epoch 850/1000, Cost: 4.2363\n", + " and the parameters are [-3.16532008 4.26373722] -5.61513487841344 ;\n", + "Epoch 850/1000, Cost: 4.5878\n", + " and the parameters are [-3.16521857 4.26385479] -5.615128815162365 ;\n", + "Epoch 850/1000, Cost: 1.1437\n", + " and the parameters are [-3.16522677 4.26388363] -5.615126432248486 ;\n", + "Epoch 850/1000, Cost: 1.6098\n", + " and the parameters are [-3.16522951 4.2639363 ] -5.615110222585705 ;\n", + "Epoch 850/1000, Cost: 2.0205\n", + " and the parameters are [-3.16524546 4.26391859] -5.615147259813561 ;\n", + "Epoch 850/1000, Cost: 3.2862\n", + " and the parameters are [-3.16522322 4.2638673 ] -5.615202729177568 ;\n", + "Epoch 850/1000, Cost: 2.1277\n", + " and the parameters are [-3.16528288 4.2637875 ] -5.615247487657529 ;\n", + "Epoch 850/1000, Cost: 0.9974\n", + " and the parameters are [-3.16526045 4.26382163] -5.615250432143162 ;\n", + "Epoch 850/1000, Cost: 3.2274\n", + " and the parameters are [-3.16523098 4.26382587] -5.615269650487556 ;\n", + "Epoch 850/1000, Cost: 3.3222\n", + " and the parameters are [-3.16520891 4.26380627] -5.615322492968224 ;\n", + "Epoch 850/1000, Cost: 2.0492\n", + " and the parameters are [-3.16526609 4.26375383] -5.61534367101206 ;\n", + "Epoch 850/1000, Cost: 2.3464\n", + " and the parameters are [-3.16525288 4.26380627] -5.6153427937199165 ;\n", + "Epoch 850/1000, Cost: 12.7469\n", + " and the parameters are [-3.16522803 4.26382908] -5.6152866731961915 ;\n", + "Epoch 850/1000, Cost: 1.4547\n", + " and the parameters are [-3.16523527 4.26386264] -5.615275774320542 ;\n", + "Epoch 860/1000, Cost: 2.0594\n", + " and the parameters are [-3.17369627 4.27451304] -5.630353896255843 ;\n", + "Epoch 860/1000, Cost: 1.8124\n", + " and the parameters are [-3.17367387 4.27447963] -5.630414919308957 ;\n", + "Epoch 860/1000, Cost: 8.3691\n", + " and the parameters are [-3.17377503 4.27453145] -5.6302861758444065 ;\n", + "Epoch 860/1000, Cost: 1.0552\n", + " and the parameters are [-3.17378521 4.2745811 ] -5.630259814641148 ;\n", + "Epoch 860/1000, Cost: 2.4875\n", + " and the parameters are [-3.17378673 4.27463365] -5.63022721046067 ;\n", + "Epoch 860/1000, Cost: 1.5028\n", + " and the parameters are [-3.17378435 4.27471032] -5.630192320932381 ;\n", + "Epoch 860/1000, Cost: 1.5450\n", + " and the parameters are [-3.1737742 4.27477706] -5.630174465737046 ;\n", + "Epoch 860/1000, Cost: 1.9917\n", + " and the parameters are [-3.17382362 4.27472861] -5.630208311187811 ;\n", + "Epoch 860/1000, Cost: 6.5058\n", + " and the parameters are [-3.17384689 4.27451854] -5.630356986266461 ;\n", + "Epoch 860/1000, Cost: 2.7896\n", + " and the parameters are [-3.17379059 4.27463197] -5.630336557933186 ;\n", + "Epoch 860/1000, Cost: 1.2139\n", + " and the parameters are [-3.17378672 4.27462946] -5.6303656259882535 ;\n", + "Epoch 860/1000, Cost: 0.4004\n", + " and the parameters are [-3.1737902 4.27465032] -5.6303584430981735 ;\n", + "Epoch 860/1000, Cost: 2.3357\n", + " and the parameters are [-3.17387403 4.27451681] -5.630433113097777 ;\n", + "Epoch 860/1000, Cost: 4.3065\n", + " and the parameters are [-3.17386215 4.27456643] -5.630407708148152 ;\n", + "Epoch 860/1000, Cost: 2.9850\n", + " and the parameters are [-3.17389614 4.27454043] -5.630443959216702 ;\n", + "Epoch 860/1000, Cost: 2.8952\n", + " and the parameters are [-3.17389484 4.27459854] -5.630417974346049 ;\n", + "Epoch 860/1000, Cost: 1.6009\n", + " and the parameters are [-3.17390236 4.27467447] -5.630377790150703 ;\n", + "Epoch 860/1000, Cost: 2.7262\n", + " and the parameters are [-3.17392787 4.27464811] -5.630402780503915 ;\n", + "Epoch 860/1000, Cost: 1.3714\n", + " and the parameters are [-3.17389054 4.27467227] -5.630431285940753 ;\n", + "Epoch 860/1000, Cost: 4.8355\n", + " and the parameters are [-3.17392688 4.27466574] -5.630408749618787 ;\n", + "Epoch 860/1000, Cost: 4.1125\n", + " and the parameters are [-3.17381382 4.27465892] -5.630480343455511 ;\n", + "Epoch 860/1000, Cost: 2.3668\n", + " and the parameters are [-3.17377016 4.27462241] -5.630545333521283 ;\n", + "Epoch 860/1000, Cost: 3.1523\n", + " and the parameters are [-3.17380599 4.27455311] -5.630604390600953 ;\n", + "Epoch 860/1000, Cost: 5.0025\n", + " and the parameters are [-3.17374814 4.2744508 ] -5.6307062734404605 ;\n", + "Epoch 860/1000, Cost: 2.3961\n", + " and the parameters are [-3.17370988 4.27446052] -5.630744939231123 ;\n", + "Epoch 860/1000, Cost: 1.3131\n", + " and the parameters are [-3.17373198 4.27445912] -5.630748405003403 ;\n", + "Epoch 860/1000, Cost: 1.0897\n", + " and the parameters are [-3.17373669 4.27451299] -5.6307284337581205 ;\n", + "Epoch 860/1000, Cost: 5.2331\n", + " and the parameters are [-3.17380527 4.27429678] -5.630857764982113 ;\n", + "Epoch 860/1000, Cost: 2.1485\n", + " and the parameters are [-3.17378424 4.27439236] -5.630819891645495 ;\n", + "Epoch 860/1000, Cost: 4.9853\n", + " and the parameters are [-3.1737984 4.2744691] -5.630744275752205 ;\n", + "Epoch 860/1000, Cost: 1.5567\n", + " and the parameters are [-3.17381244 4.2744227 ] -5.630795231258459 ;\n", + "Epoch 860/1000, Cost: 2.7587\n", + " and the parameters are [-3.17383866 4.27433561] -5.6308734006289205 ;\n", + "Epoch 860/1000, Cost: 1.3099\n", + " and the parameters are [-3.17385671 4.2743266 ] -5.630893869105614 ;\n", + "Epoch 860/1000, Cost: 3.0289\n", + " and the parameters are [-3.17384034 4.2742842 ] -5.630952968559429 ;\n", + "Epoch 860/1000, Cost: 3.6094\n", + " and the parameters are [-3.17380474 4.27433098] -5.630946596964696 ;\n", + "Epoch 860/1000, Cost: 1.5224\n", + " and the parameters are [-3.17379482 4.27436016] -5.630953563950983 ;\n", + "Epoch 860/1000, Cost: 3.2851\n", + " and the parameters are [-3.17381653 4.27430201] -5.63100345384543 ;\n", + "Epoch 860/1000, Cost: 6.2534\n", + " and the parameters are [-3.17379802 4.2742395 ] -5.631059743305365 ;\n", + "Epoch 860/1000, Cost: 1.3265\n", + " and the parameters are [-3.17381175 4.27428921] -5.63103324831981 ;\n", + "Epoch 860/1000, Cost: 3.1842\n", + " and the parameters are [-3.17382347 4.27425348] -5.631069192955348 ;\n", + "Epoch 860/1000, Cost: 0.8787\n", + " and the parameters are [-3.17382021 4.27428797] -5.6310665665233675 ;\n", + "Epoch 860/1000, Cost: 2.3433\n", + " and the parameters are [-3.17378853 4.27433278] -5.631077566832413 ;\n", + "Epoch 860/1000, Cost: 3.7823\n", + " and the parameters are [-3.1738309 4.27434464] -5.631066167838392 ;\n", + "Epoch 860/1000, Cost: 1.2421\n", + " and the parameters are [-3.1738619 4.27433049] -5.631077565173471 ;\n", + "Epoch 860/1000, Cost: 1.6884\n", + " and the parameters are [-3.17387917 4.27432739] -5.631095729723508 ;\n", + "Epoch 860/1000, Cost: 0.8915\n", + " and the parameters are [-3.17388729 4.27433521] -5.631106120704942 ;\n", + "Epoch 860/1000, Cost: 0.7070\n", + " and the parameters are [-3.17389418 4.2743245 ] -5.631124513887179 ;\n", + "Epoch 860/1000, Cost: 2.3971\n", + " and the parameters are [-3.17386636 4.27425826] -5.631213442935293 ;\n", + "Epoch 860/1000, Cost: 4.2796\n", + " and the parameters are [-3.17395555 4.27418267] -5.631226487226167 ;\n", + "Epoch 860/1000, Cost: 2.9632\n", + " and the parameters are [-3.17391372 4.27418907] -5.631278138428126 ;\n", + "Epoch 860/1000, Cost: 3.2133\n", + " and the parameters are [-3.1738951 4.27420714] -5.631303214719765 ;\n", + "Epoch 860/1000, Cost: 2.7054\n", + " and the parameters are [-3.17386498 4.27419382] -5.631358721503188 ;\n", + "Epoch 860/1000, Cost: 7.0717\n", + " and the parameters are [-3.1737984 4.27429389] -5.63128684428174 ;\n", + "Epoch 860/1000, Cost: 5.0555\n", + " and the parameters are [-3.17379062 4.27423909] -5.631345042867683 ;\n", + "Epoch 860/1000, Cost: 1.2616\n", + " and the parameters are [-3.17380563 4.27430987] -5.631307022377267 ;\n", + "Epoch 860/1000, Cost: 3.6862\n", + " and the parameters are [-3.17384423 4.27431021] -5.6313040767279805 ;\n", + "Epoch 860/1000, Cost: 6.8329\n", + " and the parameters are [-3.17377586 4.27424045] -5.631373198802782 ;\n", + "Epoch 860/1000, Cost: 1.9630\n", + " and the parameters are [-3.17377626 4.27419526] -5.631418425123138 ;\n", + "Epoch 860/1000, Cost: 6.2262\n", + " and the parameters are [-3.17380628 4.27419417] -5.631396290381411 ;\n", + "Epoch 860/1000, Cost: 3.9397\n", + " and the parameters are [-3.17382561 4.27426167] -5.631351351732678 ;\n", + "Epoch 860/1000, Cost: 1.4057\n", + " and the parameters are [-3.17383906 4.27429225] -5.631340433727855 ;\n", + "Epoch 860/1000, Cost: 1.8201\n", + " and the parameters are [-3.17384575 4.27433752] -5.631327894920868 ;\n", + "Epoch 860/1000, Cost: 2.0394\n", + " and the parameters are [-3.17387444 4.27440703] -5.63127106707573 ;\n", + "Epoch 860/1000, Cost: 1.0747\n", + " and the parameters are [-3.17389582 4.2744118 ] -5.631274315034366 ;\n", + "Epoch 860/1000, Cost: 3.2946\n", + " and the parameters are [-3.17384327 4.27442814] -5.631305793180321 ;\n", + "Epoch 860/1000, Cost: 5.0699\n", + " and the parameters are [-3.17388314 4.27427333] -5.63141045715223 ;\n", + "Epoch 860/1000, Cost: 1.1996\n", + " and the parameters are [-3.17386836 4.27434364] -5.6313895855697105 ;\n", + "Epoch 860/1000, Cost: 3.4129\n", + " and the parameters are [-3.17387682 4.27444313] -5.631338050214159 ;\n", + "Epoch 860/1000, Cost: 2.1113\n", + " and the parameters are [-3.17379884 4.27458115] -5.631292729707221 ;\n", + "Epoch 860/1000, Cost: 6.3798\n", + " and the parameters are [-3.17387524 4.27452562] -5.631277935375621 ;\n", + "Epoch 860/1000, Cost: 1.7571\n", + " and the parameters are [-3.17389257 4.27454468] -5.631280697060407 ;\n", + "Epoch 860/1000, Cost: 3.1643\n", + " and the parameters are [-3.17387157 4.27466361] -5.631211241957282 ;\n", + "Epoch 860/1000, Cost: 1.9209\n", + " and the parameters are [-3.1738908 4.27464696] -5.631235640724936 ;\n", + "Epoch 860/1000, Cost: 1.2783\n", + " and the parameters are [-3.17391232 4.27461934] -5.631268655719025 ;\n", + "Epoch 860/1000, Cost: 0.6482\n", + " and the parameters are [-3.17391264 4.27464068] -5.631268960963548 ;\n", + "Epoch 860/1000, Cost: 1.6725\n", + " and the parameters are [-3.17393712 4.27466464] -5.631268793364935 ;\n", + "Epoch 860/1000, Cost: 4.1652\n", + " and the parameters are [-3.17389625 4.27472155] -5.631264852336009 ;\n", + "Epoch 860/1000, Cost: 2.9819\n", + " and the parameters are [-3.17390269 4.27462754] -5.631351116871619 ;\n", + "Epoch 860/1000, Cost: 4.0791\n", + " and the parameters are [-3.1738479 4.27462743] -5.631386754353179 ;\n", + "Epoch 860/1000, Cost: 1.4285\n", + " and the parameters are [-3.17385258 4.27461951] -5.631414949505163 ;\n", + "Epoch 860/1000, Cost: 6.5183\n", + " and the parameters are [-3.17383635 4.2747817 ] -5.631294811235992 ;\n", + "Epoch 860/1000, Cost: 3.6508\n", + " and the parameters are [-3.17381197 4.27480031] -5.631302444053823 ;\n", + "Epoch 860/1000, Cost: 1.7233\n", + " and the parameters are [-3.17386753 4.27476993] -5.63132216750774 ;\n", + "Epoch 860/1000, Cost: 1.8285\n", + " and the parameters are [-3.17386456 4.27477047] -5.63133453265128 ;\n", + "Epoch 860/1000, Cost: 1.1032\n", + " and the parameters are [-3.17389001 4.27476827] -5.6313423784497045 ;\n", + "Epoch 860/1000, Cost: 4.9850\n", + " and the parameters are [-3.17386944 4.27474201] -5.63137464216112 ;\n", + "Epoch 860/1000, Cost: 4.2906\n", + " and the parameters are [-3.17388442 4.27467009] -5.631434573941193 ;\n", + "Epoch 860/1000, Cost: 4.6371\n", + " and the parameters are [-3.17390824 4.27463315] -5.631449215945906 ;\n", + "Epoch 860/1000, Cost: 2.0905\n", + " and the parameters are [-3.1739313 4.27463157] -5.631444193696963 ;\n", + "Epoch 860/1000, Cost: 2.4558\n", + " and the parameters are [-3.17392287 4.27466366] -5.631447578659809 ;\n", + "Epoch 860/1000, Cost: 0.9510\n", + " and the parameters are [-3.17392671 4.27470405] -5.631434214344793 ;\n", + "Epoch 860/1000, Cost: 8.3247\n", + " and the parameters are [-3.17390298 4.27467603] -5.631458481876853 ;\n", + "Epoch 860/1000, Cost: 0.8253\n", + " and the parameters are [-3.17390436 4.27468834] -5.631468300751998 ;\n", + "Epoch 860/1000, Cost: 1.1913\n", + " and the parameters are [-3.17391108 4.27472419] -5.6314637212597365 ;\n", + "Epoch 860/1000, Cost: 3.5258\n", + " and the parameters are [-3.17395712 4.27466882] -5.631495231953596 ;\n", + "Epoch 860/1000, Cost: 3.0998\n", + " and the parameters are [-3.17388912 4.27478489] -5.631454962239195 ;\n", + "Epoch 860/1000, Cost: 6.2637\n", + " and the parameters are [-3.1740076 4.27468591] -5.631435496040263 ;\n", + "Epoch 860/1000, Cost: 2.5037\n", + " and the parameters are [-3.17402143 4.27472168] -5.63141994614843 ;\n", + "Epoch 860/1000, Cost: 4.5841\n", + " and the parameters are [-3.17406119 4.27463719] -5.63146713187914 ;\n", + "Epoch 860/1000, Cost: 4.0247\n", + " and the parameters are [-3.17406532 4.27461011] -5.631489341614459 ;\n", + "Epoch 860/1000, Cost: 1.9942\n", + " and the parameters are [-3.17412485 4.27464696] -5.631459571561812 ;\n", + "Epoch 860/1000, Cost: 2.4270\n", + " and the parameters are [-3.17405348 4.27477257] -5.631433354403661 ;\n", + "Epoch 860/1000, Cost: 3.9479\n", + " and the parameters are [-3.17410873 4.27466418] -5.631507977308248 ;\n", + "Epoch 860/1000, Cost: 2.1010\n", + " and the parameters are [-3.17410442 4.27476718] -5.6314503206849285 ;\n", + "Epoch 860/1000, Cost: 2.4074\n", + " and the parameters are [-3.17412612 4.27481242] -5.631427654657154 ;\n", + "Epoch 860/1000, Cost: 4.1819\n", + " and the parameters are [-3.17409414 4.27476975] -5.63149840139755 ;\n", + "Epoch 860/1000, Cost: 2.9983\n", + " and the parameters are [-3.17406851 4.27473758] -5.631556883981348 ;\n", + "Epoch 860/1000, Cost: 4.9649\n", + " and the parameters are [-3.17415296 4.27469714] -5.631556635789633 ;\n", + "Epoch 860/1000, Cost: 3.7577\n", + " and the parameters are [-3.17407494 4.27480609] -5.631546794273701 ;\n", + "Epoch 860/1000, Cost: 3.5962\n", + " and the parameters are [-3.17409126 4.27477108] -5.63157817476005 ;\n", + "Epoch 860/1000, Cost: 2.1322\n", + " and the parameters are [-3.17410999 4.2748276 ] -5.631550373535586 ;\n", + "Epoch 860/1000, Cost: 1.8662\n", + " and the parameters are [-3.17411962 4.27483657] -5.631567494826773 ;\n", + "Epoch 860/1000, Cost: 1.7215\n", + " and the parameters are [-3.17414523 4.27486908] -5.63154504557693 ;\n", + "Epoch 860/1000, Cost: 1.7869\n", + " and the parameters are [-3.17414392 4.27485442] -5.63158010250521 ;\n", + "Epoch 860/1000, Cost: 4.8837\n", + " and the parameters are [-3.17419257 4.27470891] -5.631662112418528 ;\n", + "Epoch 860/1000, Cost: 0.4134\n", + " and the parameters are [-3.17419892 4.27472321] -5.6316610318626745 ;\n", + "Epoch 860/1000, Cost: 3.7382\n", + " and the parameters are [-3.17415934 4.27477843] -5.631646546623165 ;\n", + "Epoch 860/1000, Cost: 1.2415\n", + " and the parameters are [-3.17417811 4.2747655 ] -5.631670639224009 ;\n", + "Epoch 860/1000, Cost: 7.5555\n", + " and the parameters are [-3.17418522 4.27487323] -5.631556782183913 ;\n", + "Epoch 860/1000, Cost: 1.9010\n", + " and the parameters are [-3.17420597 4.27486456] -5.631575386777406 ;\n", + "Epoch 860/1000, Cost: 2.5840\n", + " and the parameters are [-3.17416969 4.27498748] -5.631533878202822 ;\n", + "Epoch 860/1000, Cost: 2.6193\n", + " and the parameters are [-3.17420017 4.27497886] -5.631551316352534 ;\n", + "Epoch 860/1000, Cost: 4.4026\n", + " and the parameters are [-3.17416534 4.27498021] -5.631567150191914 ;\n", + "Epoch 860/1000, Cost: 4.2442\n", + " and the parameters are [-3.17414042 4.27494797] -5.631606398296183 ;\n", + "Epoch 860/1000, Cost: 3.0906\n", + " and the parameters are [-3.174182 4.27487961] -5.631663079382979 ;\n", + "Epoch 860/1000, Cost: 1.8594\n", + " and the parameters are [-3.17417735 4.27493917] -5.631639648985886 ;\n", + "Epoch 860/1000, Cost: 6.3299\n", + " and the parameters are [-3.17417049 4.27498815] -5.631603145887945 ;\n", + "Epoch 860/1000, Cost: 3.2706\n", + " and the parameters are [-3.17417306 4.27497493] -5.63163710771002 ;\n", + "Epoch 860/1000, Cost: 4.3470\n", + " and the parameters are [-3.17417303 4.27490744] -5.631685713470033 ;\n", + "Epoch 860/1000, Cost: 2.1918\n", + " and the parameters are [-3.17413711 4.27501427] -5.631642333197884 ;\n", + "Epoch 860/1000, Cost: 4.9527\n", + " and the parameters are [-3.1741016 4.27506441] -5.631616922686307 ;\n", + "Epoch 860/1000, Cost: 2.4169\n", + " and the parameters are [-3.17417415 4.27501086] -5.631636269134343 ;\n", + "Epoch 860/1000, Cost: 2.2652\n", + " and the parameters are [-3.17416386 4.27508817] -5.631600628703131 ;\n", + "Epoch 860/1000, Cost: 1.0703\n", + " and the parameters are [-3.17418184 4.27506257] -5.631633859187012 ;\n", + "Epoch 860/1000, Cost: 2.1058\n", + " and the parameters are [-3.1741251 4.27514478] -5.631637316157705 ;\n", + "Epoch 860/1000, Cost: 2.2661\n", + " and the parameters are [-3.17411205 4.27521217] -5.631627501476753 ;\n", + "Epoch 860/1000, Cost: 1.8405\n", + " and the parameters are [-3.1740914 4.27522323] -5.631645273817543 ;\n", + "Epoch 860/1000, Cost: 6.3833\n", + " and the parameters are [-3.17412329 4.27523173] -5.631622466567025 ;\n", + "Epoch 860/1000, Cost: 4.3347\n", + " and the parameters are [-3.17415693 4.275152 ] -5.631674762154295 ;\n", + "Epoch 860/1000, Cost: 3.7435\n", + " and the parameters are [-3.17420104 4.27503301] -5.631746507576854 ;\n", + "Epoch 860/1000, Cost: 1.3532\n", + " and the parameters are [-3.17420297 4.27499761] -5.6317959454124935 ;\n", + "Epoch 860/1000, Cost: 4.9905\n", + " and the parameters are [-3.17421706 4.2750315 ] -5.631763036310906 ;\n", + "Epoch 860/1000, Cost: 4.9153\n", + " and the parameters are [-3.17417845 4.27513835] -5.631705292528339 ;\n", + "Epoch 860/1000, Cost: 2.2219\n", + " and the parameters are [-3.17418713 4.27506019] -5.631769253228353 ;\n", + "Epoch 860/1000, Cost: 2.8112\n", + " and the parameters are [-3.17422357 4.27512118] -5.63173215611731 ;\n", + "Epoch 860/1000, Cost: 2.8883\n", + " and the parameters are [-3.17417527 4.27518788] -5.631726990356312 ;\n", + "Epoch 860/1000, Cost: 1.5542\n", + " and the parameters are [-3.17419731 4.27519075] -5.631734779124606 ;\n", + "Epoch 860/1000, Cost: 2.4873\n", + " and the parameters are [-3.17422706 4.27511498] -5.6317803100044515 ;\n", + "Epoch 860/1000, Cost: 3.9272\n", + " and the parameters are [-3.17419772 4.27510351] -5.6318334627869255 ;\n", + "Epoch 860/1000, Cost: 5.1343\n", + " and the parameters are [-3.17428573 4.27499318] -5.631871159402247 ;\n", + "Epoch 860/1000, Cost: 4.3352\n", + " and the parameters are [-3.1741987 4.27503432] -5.6318873510613034 ;\n", + "Epoch 860/1000, Cost: 2.3157\n", + " and the parameters are [-3.1742114 4.27503502] -5.631898966039413 ;\n", + "Epoch 860/1000, Cost: 2.4819\n", + " and the parameters are [-3.17423362 4.27505426] -5.631893691599529 ;\n", + "Epoch 860/1000, Cost: 1.8694\n", + " and the parameters are [-3.174296 4.27497284] -5.6319420875421935 ;\n", + "Epoch 860/1000, Cost: 1.5474\n", + " and the parameters are [-3.17432631 4.27492277] -5.631979898477642 ;\n", + "Epoch 860/1000, Cost: 2.7796\n", + " and the parameters are [-3.17432493 4.27500584] -5.631932595522054 ;\n", + "Epoch 860/1000, Cost: 2.5373\n", + " and the parameters are [-3.17430554 4.27503182] -5.631932703389025 ;\n", + "Epoch 860/1000, Cost: 2.4210\n", + " and the parameters are [-3.17422479 4.27515566] -5.631908954766836 ;\n", + "Epoch 860/1000, Cost: 2.1180\n", + " and the parameters are [-3.17425335 4.27512162] -5.631931727495199 ;\n", + "Epoch 860/1000, Cost: 2.3018\n", + " and the parameters are [-3.17424064 4.275103 ] -5.6319811725802476 ;\n", + "Epoch 860/1000, Cost: 4.9364\n", + " and the parameters are [-3.17432509 4.2750729 ] -5.631947378206793 ;\n", + "Epoch 860/1000, Cost: 3.3162\n", + " and the parameters are [-3.17436825 4.27511195] -5.6319068262508 ;\n", + "Epoch 860/1000, Cost: 3.4469\n", + " and the parameters are [-3.1743488 4.27518255] -5.631901456615648 ;\n", + "Epoch 860/1000, Cost: 3.1204\n", + " and the parameters are [-3.17435918 4.27520178] -5.631903083907118 ;\n", + "Epoch 860/1000, Cost: 1.2018\n", + " and the parameters are [-3.17436856 4.27524839] -5.631883567214467 ;\n", + "Epoch 860/1000, Cost: 1.5433\n", + " and the parameters are [-3.17437647 4.27525346] -5.63189760321495 ;\n", + "Epoch 860/1000, Cost: 10.2334\n", + " and the parameters are [-3.17433043 4.2751486 ] -5.631959957076272 ;\n", + "Epoch 860/1000, Cost: 1.6710\n", + " and the parameters are [-3.17429918 4.27520768] -5.631962611779506 ;\n", + "Epoch 860/1000, Cost: 1.4914\n", + " and the parameters are [-3.17430513 4.27520601] -5.631975620952852 ;\n", + "Epoch 860/1000, Cost: 3.0865\n", + " and the parameters are [-3.17432872 4.27518664] -5.631997572637511 ;\n", + "Epoch 860/1000, Cost: 1.9106\n", + " and the parameters are [-3.17434262 4.27522356] -5.631981639261379 ;\n", + "Epoch 860/1000, Cost: 2.2788\n", + " and the parameters are [-3.17431694 4.27529836] -5.631963983061986 ;\n", + "Epoch 860/1000, Cost: 5.0043\n", + " and the parameters are [-3.17440413 4.27523232] -5.63198084672499 ;\n", + "Epoch 860/1000, Cost: 2.5684\n", + " and the parameters are [-3.17437931 4.27536248] -5.6319184750225295 ;\n", + "Epoch 860/1000, Cost: 1.2697\n", + " and the parameters are [-3.174396 4.27538853] -5.631912538107723 ;\n", + "Epoch 860/1000, Cost: 4.0015\n", + " and the parameters are [-3.17433576 4.27553102] -5.6318634602235935 ;\n", + "Epoch 860/1000, Cost: 2.0667\n", + " and the parameters are [-3.1743872 4.27541142] -5.631945193799114 ;\n", + "Epoch 860/1000, Cost: 1.8461\n", + " and the parameters are [-3.17438444 4.27541569] -5.631975969745339 ;\n", + "Epoch 860/1000, Cost: 2.0923\n", + " and the parameters are [-3.17444675 4.27533046] -5.632018873799606 ;\n", + "Epoch 860/1000, Cost: 1.7519\n", + " and the parameters are [-3.17447325 4.27530912] -5.632041210104729 ;\n", + "Epoch 860/1000, Cost: 2.7621\n", + " and the parameters are [-3.17438048 4.2753849 ] -5.632054796640942 ;\n", + "Epoch 860/1000, Cost: 1.1970\n", + " and the parameters are [-3.17440683 4.27539751] -5.632052305109365 ;\n", + "Epoch 860/1000, Cost: 3.7401\n", + " and the parameters are [-3.17441485 4.27531575] -5.632123901209825 ;\n", + "Epoch 860/1000, Cost: 3.7290\n", + " and the parameters are [-3.17438514 4.27525759] -5.6322065899030065 ;\n", + "Epoch 860/1000, Cost: 1.7944\n", + " and the parameters are [-3.17437853 4.27522464] -5.632261044726679 ;\n", + "Epoch 860/1000, Cost: 2.2098\n", + " and the parameters are [-3.17433639 4.27527991] -5.632268673065818 ;\n", + "Epoch 860/1000, Cost: 2.3294\n", + " and the parameters are [-3.17437241 4.27532859] -5.632242457944987 ;\n", + "Epoch 860/1000, Cost: 3.9031\n", + " and the parameters are [-3.17432698 4.27551674] -5.632148076024394 ;\n", + "Epoch 860/1000, Cost: 2.1932\n", + " and the parameters are [-3.17439282 4.2755153 ] -5.6321364325049625 ;\n", + "Epoch 860/1000, Cost: 0.4922\n", + " and the parameters are [-3.17439523 4.27552707] -5.632138971273251 ;\n", + "Epoch 860/1000, Cost: 1.3747\n", + " and the parameters are [-3.17439937 4.27556507] -5.632131710743602 ;\n", + "Epoch 860/1000, Cost: 2.2331\n", + " and the parameters are [-3.17437521 4.27557447] -5.632162581151784 ;\n", + "Epoch 860/1000, Cost: 6.5243\n", + " and the parameters are [-3.17438 4.27559631] -5.632145234821595 ;\n", + "Epoch 860/1000, Cost: 4.6119\n", + " and the parameters are [-3.1744988 4.27550165] -5.632145253685919 ;\n", + "Epoch 860/1000, Cost: 2.8617\n", + " and the parameters are [-3.17446834 4.27555772] -5.632129003644116 ;\n", + "Epoch 860/1000, Cost: 3.5969\n", + " and the parameters are [-3.17452587 4.2755478 ] -5.632112522443113 ;\n", + "Epoch 860/1000, Cost: 7.3740\n", + " and the parameters are [-3.17462664 4.27539688] -5.632168436476701 ;\n", + "Epoch 860/1000, Cost: 4.6162\n", + " and the parameters are [-3.17458512 4.27543179] -5.632177099788857 ;\n", + "Epoch 860/1000, Cost: 6.3398\n", + " and the parameters are [-3.17458022 4.27561919] -5.632039366414418 ;\n", + "Epoch 860/1000, Cost: 2.3643\n", + " and the parameters are [-3.17462202 4.27565604] -5.632014621013811 ;\n", + "Epoch 870/1000, Cost: 1.0800\n", + " and the parameters are [-3.18296741 4.2862096 ] -5.646901878682975 ;\n", + "Epoch 870/1000, Cost: 1.5239\n", + " and the parameters are [-3.18300282 4.2861781 ] -5.646923554977493 ;\n", + "Epoch 870/1000, Cost: 2.9884\n", + " and the parameters are [-3.18291512 4.28617936] -5.646981288375846 ;\n", + "Epoch 870/1000, Cost: 1.7854\n", + " and the parameters are [-3.18290498 4.28620937] -5.646992851393859 ;\n", + "Epoch 870/1000, Cost: 1.4458\n", + " and the parameters are [-3.18292403 4.28620434] -5.647011076656456 ;\n", + "Epoch 870/1000, Cost: 0.5769\n", + " and the parameters are [-3.18292702 4.28621807] -5.647014369902937 ;\n", + "Epoch 870/1000, Cost: 3.5551\n", + " and the parameters are [-3.18291585 4.28627837] -5.6469929272981 ;\n", + "Epoch 870/1000, Cost: 8.4441\n", + " and the parameters are [-3.18302435 4.28610732] -5.647052534837356 ;\n", + "Epoch 870/1000, Cost: 2.2872\n", + " and the parameters are [-3.1830178 4.28612316] -5.647069416966561 ;\n", + "Epoch 870/1000, Cost: 2.5991\n", + " and the parameters are [-3.1830729 4.28605217] -5.647116672586765 ;\n", + "Epoch 870/1000, Cost: 0.7027\n", + " and the parameters are [-3.18308923 4.28604909] -5.647127817880454 ;\n", + "Epoch 870/1000, Cost: 3.8659\n", + " and the parameters are [-3.18302703 4.28618758] -5.647078595634874 ;\n", + "Epoch 870/1000, Cost: 2.8466\n", + " and the parameters are [-3.18297488 4.28618305] -5.647140539091795 ;\n", + "Epoch 870/1000, Cost: 4.0929\n", + " and the parameters are [-3.18301155 4.28608444] -5.647204826389901 ;\n", + "Epoch 870/1000, Cost: 0.6168\n", + " and the parameters are [-3.18300036 4.2861256 ] -5.647196914925493 ;\n", + "Epoch 870/1000, Cost: 1.3574\n", + " and the parameters are [-3.18299637 4.28617049] -5.647180092161873 ;\n", + "Epoch 870/1000, Cost: 1.5992\n", + " and the parameters are [-3.18297438 4.28627005] -5.647147541930831 ;\n", + "Epoch 870/1000, Cost: 2.0533\n", + " and the parameters are [-3.18303924 4.28627439] -5.647135218493841 ;\n", + "Epoch 870/1000, Cost: 1.7437\n", + " and the parameters are [-3.1830304 4.28629629] -5.647144969945831 ;\n", + "Epoch 870/1000, Cost: 4.9858\n", + " and the parameters are [-3.18303765 4.28629698] -5.647140115596538 ;\n", + "Epoch 870/1000, Cost: 1.8925\n", + " and the parameters are [-3.18302646 4.28628497] -5.647182625031393 ;\n", + "Epoch 870/1000, Cost: 3.3543\n", + " and the parameters are [-3.18302564 4.2863295 ] -5.647168956005998 ;\n", + "Epoch 870/1000, Cost: 2.5672\n", + " and the parameters are [-3.18303224 4.28632232] -5.64718251195821 ;\n", + "Epoch 870/1000, Cost: 2.7253\n", + " and the parameters are [-3.18306107 4.28627791] -5.647232521253095 ;\n", + "Epoch 870/1000, Cost: 2.4377\n", + " and the parameters are [-3.18304216 4.28637961] -5.6471902387765684 ;\n", + "Epoch 870/1000, Cost: 4.6289\n", + " and the parameters are [-3.18320706 4.28628523] -5.647182727985938 ;\n", + "Epoch 870/1000, Cost: 5.3831\n", + " and the parameters are [-3.18317066 4.28615055] -5.647320393162474 ;\n", + "Epoch 870/1000, Cost: 1.3459\n", + " and the parameters are [-3.1831921 4.28615856] -5.6473294544974575 ;\n", + "Epoch 870/1000, Cost: 4.4481\n", + " and the parameters are [-3.18324591 4.28609981] -5.647351918440319 ;\n", + "Epoch 870/1000, Cost: 2.9847\n", + " and the parameters are [-3.18328872 4.28611836] -5.64732061070606 ;\n", + "Epoch 870/1000, Cost: 4.5328\n", + " and the parameters are [-3.18334916 4.28601407] -5.647371519193108 ;\n", + "Epoch 870/1000, Cost: 2.4131\n", + " and the parameters are [-3.18333594 4.28600109] -5.64741012065139 ;\n", + "Epoch 870/1000, Cost: 1.5410\n", + " and the parameters are [-3.18330479 4.28605648] -5.647406101098725 ;\n", + "Epoch 870/1000, Cost: 3.1700\n", + " and the parameters are [-3.1832713 4.28603873] -5.6474469801670875 ;\n", + "Epoch 870/1000, Cost: 2.9935\n", + " and the parameters are [-3.18320583 4.28615431] -5.647414810600174 ;\n", + "Epoch 870/1000, Cost: 3.0358\n", + " and the parameters are [-3.18317267 4.28611525] -5.6474775517326785 ;\n", + "Epoch 870/1000, Cost: 1.8576\n", + " and the parameters are [-3.18313604 4.28617288] -5.647480945777009 ;\n", + "Epoch 870/1000, Cost: 2.6053\n", + " and the parameters are [-3.18309319 4.28622332] -5.647498514230193 ;\n", + "Epoch 870/1000, Cost: 2.8433\n", + " and the parameters are [-3.18313247 4.28634255] -5.647397920483474 ;\n", + "Epoch 870/1000, Cost: 2.0003\n", + " and the parameters are [-3.18312423 4.28637248] -5.64740594815038 ;\n", + "Epoch 870/1000, Cost: 5.6705\n", + " and the parameters are [-3.18303913 4.2863678 ] -5.647463568439836 ;\n", + "Epoch 870/1000, Cost: 3.8943\n", + " and the parameters are [-3.18308636 4.28634737] -5.647451254996697 ;\n", + "Epoch 870/1000, Cost: 2.9214\n", + " and the parameters are [-3.18319583 4.2862524 ] -5.647480531443874 ;\n", + "Epoch 870/1000, Cost: 4.7031\n", + " and the parameters are [-3.18322087 4.28628418] -5.647435196286104 ;\n", + "Epoch 870/1000, Cost: 3.5325\n", + " and the parameters are [-3.18321051 4.28636962] -5.64739284061575 ;\n", + "Epoch 870/1000, Cost: 2.4914\n", + " and the parameters are [-3.18332219 4.28633108] -5.64737527921049 ;\n", + "Epoch 870/1000, Cost: 0.9454\n", + " and the parameters are [-3.18332702 4.28637073] -5.647364219874099 ;\n", + "Epoch 870/1000, Cost: 2.9256\n", + " and the parameters are [-3.18332423 4.28634041] -5.64741179146681 ;\n", + "Epoch 870/1000, Cost: 7.7313\n", + " and the parameters are [-3.18333333 4.28639922] -5.64735043977653 ;\n", + "Epoch 870/1000, Cost: 1.6845\n", + " and the parameters are [-3.18334572 4.28641229] -5.64735515945993 ;\n", + "Epoch 870/1000, Cost: 1.0779\n", + " and the parameters are [-3.18334747 4.28642775] -5.647364590908926 ;\n", + "Epoch 870/1000, Cost: 3.7160\n", + " and the parameters are [-3.18337971 4.28649348] -5.647304784051236 ;\n", + "Epoch 870/1000, Cost: 1.5242\n", + " and the parameters are [-3.18337168 4.28656795] -5.647274508421911 ;\n", + "Epoch 870/1000, Cost: 1.9049\n", + " and the parameters are [-3.18335047 4.28662077] -5.647276735111289 ;\n", + "Epoch 870/1000, Cost: 3.4705\n", + " and the parameters are [-3.18338909 4.28666274] -5.647240490309022 ;\n", + "Epoch 870/1000, Cost: 2.8599\n", + " and the parameters are [-3.1834566 4.28666074] -5.647217512088924 ;\n", + "Epoch 870/1000, Cost: 6.5103\n", + " and the parameters are [-3.18348542 4.28641721] -5.647386282685803 ;\n", + "Epoch 870/1000, Cost: 3.1305\n", + " and the parameters are [-3.1834743 4.28649506] -5.647344824904639 ;\n", + "Epoch 870/1000, Cost: 1.9224\n", + " and the parameters are [-3.18341511 4.28662079] -5.647296708897507 ;\n", + "Epoch 870/1000, Cost: 1.4220\n", + " and the parameters are [-3.18341154 4.28657127] -5.647347054321838 ;\n", + "Epoch 870/1000, Cost: 3.3682\n", + " and the parameters are [-3.18341594 4.28645334] -5.647447824082277 ;\n", + "Epoch 870/1000, Cost: 6.9215\n", + " and the parameters are [-3.18338513 4.28647643] -5.647431277505275 ;\n", + "Epoch 870/1000, Cost: 2.5216\n", + " and the parameters are [-3.18337098 4.28644686] -5.647480018829823 ;\n", + "Epoch 870/1000, Cost: 2.6475\n", + " and the parameters are [-3.18334878 4.28655523] -5.647431897903154 ;\n", + "Epoch 870/1000, Cost: 0.7655\n", + " and the parameters are [-3.18335276 4.28658544] -5.647424960227563 ;\n", + "Epoch 870/1000, Cost: 7.4422\n", + " and the parameters are [-3.18344155 4.28631376] -5.647558770728735 ;\n", + "Epoch 870/1000, Cost: 4.2986\n", + " and the parameters are [-3.18347044 4.28626517] -5.647569282379139 ;\n", + "Epoch 870/1000, Cost: 11.6613\n", + " and the parameters are [-3.18345196 4.28624336] -5.6475474128846415 ;\n", + "Epoch 870/1000, Cost: 2.8224\n", + " and the parameters are [-3.18340856 4.28628119] -5.647567685431224 ;\n", + "Epoch 870/1000, Cost: 0.7784\n", + " and the parameters are [-3.18341901 4.28627399] -5.647586925284191 ;\n", + "Epoch 870/1000, Cost: 2.5742\n", + " and the parameters are [-3.18336992 4.28630684] -5.647605739250591 ;\n", + "Epoch 870/1000, Cost: 2.0090\n", + " and the parameters are [-3.18331819 4.28636358] -5.647623431212594 ;\n", + "Epoch 870/1000, Cost: 4.1582\n", + " and the parameters are [-3.1832252 4.28651723] -5.647569077417708 ;\n", + "Epoch 870/1000, Cost: 2.8102\n", + " and the parameters are [-3.18323812 4.28654962] -5.647552554629922 ;\n", + "Epoch 870/1000, Cost: 1.6062\n", + " and the parameters are [-3.18324608 4.28662642] -5.647508788910769 ;\n", + "Epoch 870/1000, Cost: 3.1442\n", + " and the parameters are [-3.18329801 4.28657489] -5.647537549021484 ;\n", + "Epoch 870/1000, Cost: 3.3103\n", + " and the parameters are [-3.18332685 4.2866097 ] -5.647516324003208 ;\n", + "Epoch 870/1000, Cost: 0.8368\n", + " and the parameters are [-3.18329654 4.28666588] -5.6475014812476205 ;\n", + "Epoch 870/1000, Cost: 1.8155\n", + " and the parameters are [-3.18330943 4.28660989] -5.6475632970106675 ;\n", + "Epoch 870/1000, Cost: 1.3537\n", + " and the parameters are [-3.18333591 4.28661156] -5.647572808618832 ;\n", + "Epoch 870/1000, Cost: 2.3153\n", + " and the parameters are [-3.18325216 4.28676948] -5.647519037439952 ;\n", + "Epoch 870/1000, Cost: 5.1807\n", + " and the parameters are [-3.18328315 4.28661592] -5.647615985388521 ;\n", + "Epoch 870/1000, Cost: 2.8323\n", + " and the parameters are [-3.18329804 4.28675152] -5.647528100575207 ;\n", + "Epoch 870/1000, Cost: 1.7622\n", + " and the parameters are [-3.1832994 4.28683831] -5.647479528948962 ;\n", + "Epoch 870/1000, Cost: 2.2329\n", + " and the parameters are [-3.18325905 4.28682445] -5.64751799141206 ;\n", + "Epoch 870/1000, Cost: 1.3272\n", + " and the parameters are [-3.18327807 4.2868555 ] -5.647509790815643 ;\n", + "Epoch 870/1000, Cost: 1.0565\n", + " and the parameters are [-3.18327888 4.28684133] -5.647537416976796 ;\n", + "Epoch 870/1000, Cost: 1.1807\n", + " and the parameters are [-3.18327644 4.28687277] -5.647540536690312 ;\n", + "Epoch 870/1000, Cost: 2.6452\n", + " and the parameters are [-3.18332835 4.28680085] -5.647586571426846 ;\n", + "Epoch 870/1000, Cost: 2.9276\n", + " and the parameters are [-3.1833566 4.28669741] -5.647663599742753 ;\n", + "Epoch 870/1000, Cost: 4.0842\n", + " and the parameters are [-3.183334 4.28672022] -5.647682316858389 ;\n", + "Epoch 870/1000, Cost: 3.3791\n", + " and the parameters are [-3.18328307 4.28678632] -5.6476850439958906 ;\n", + "Epoch 870/1000, Cost: 4.6204\n", + " and the parameters are [-3.18329958 4.2866914 ] -5.647746224872153 ;\n", + "Epoch 870/1000, Cost: 4.0436\n", + " and the parameters are [-3.18330612 4.28658923] -5.647826999390234 ;\n", + "Epoch 870/1000, Cost: 2.1348\n", + " and the parameters are [-3.18335364 4.28659814] -5.64781259267204 ;\n", + "Epoch 870/1000, Cost: 1.3323\n", + " and the parameters are [-3.18334854 4.28662087] -5.647823007051955 ;\n", + "Epoch 870/1000, Cost: 2.3726\n", + " and the parameters are [-3.18331545 4.28669984] -5.647794332700609 ;\n", + "Epoch 870/1000, Cost: 4.4704\n", + " and the parameters are [-3.1833112 4.28663518] -5.647870740440139 ;\n", + "Epoch 870/1000, Cost: 6.0838\n", + " and the parameters are [-3.18329838 4.28670602] -5.647834552519066 ;\n", + "Epoch 870/1000, Cost: 0.9855\n", + " and the parameters are [-3.18334313 4.286661 ] -5.647860471654253 ;\n", + "Epoch 870/1000, Cost: 5.0059\n", + " and the parameters are [-3.18329746 4.28673645] -5.6478210441091425 ;\n", + "Epoch 870/1000, Cost: 1.5041\n", + " and the parameters are [-3.18329323 4.28673554] -5.647851552803255 ;\n", + "Epoch 870/1000, Cost: 4.2228\n", + " and the parameters are [-3.18328633 4.2866728 ] -5.647910799606205 ;\n", + "Epoch 870/1000, Cost: 4.0068\n", + " and the parameters are [-3.18327694 4.2867591 ] -5.647854899204199 ;\n", + "Epoch 870/1000, Cost: 3.4564\n", + " and the parameters are [-3.18325369 4.28677873] -5.647858312201251 ;\n", + "Epoch 870/1000, Cost: 2.2491\n", + " and the parameters are [-3.18327888 4.28673746] -5.647882349759966 ;\n", + "Epoch 870/1000, Cost: 2.2293\n", + " and the parameters are [-3.18325973 4.28675125] -5.647905739304094 ;\n", + "Epoch 870/1000, Cost: 2.8099\n", + " and the parameters are [-3.18328667 4.28676358] -5.647899158784329 ;\n", + "Epoch 870/1000, Cost: 3.3264\n", + " and the parameters are [-3.18328079 4.2868 ] -5.647882678541176 ;\n", + "Epoch 870/1000, Cost: 1.5069\n", + " and the parameters are [-3.18331098 4.28675054] -5.64791788038939 ;\n", + "Epoch 870/1000, Cost: 0.9189\n", + " and the parameters are [-3.18330039 4.28679344] -5.647913865610792 ;\n", + "Epoch 870/1000, Cost: 3.0124\n", + " and the parameters are [-3.18333694 4.28671739] -5.647965571312311 ;\n", + "Epoch 870/1000, Cost: 4.4175\n", + " and the parameters are [-3.18324888 4.28664773] -5.648068396761333 ;\n", + "Epoch 870/1000, Cost: 2.4987\n", + " and the parameters are [-3.18331501 4.28656177] -5.648126503078981 ;\n", + "Epoch 870/1000, Cost: 2.8153\n", + " and the parameters are [-3.18331072 4.28667428] -5.6480595903305595 ;\n", + "Epoch 870/1000, Cost: 0.5005\n", + " and the parameters are [-3.18331156 4.2867009 ] -5.648054392601878 ;\n", + "Epoch 870/1000, Cost: 2.7316\n", + " and the parameters are [-3.18334836 4.28668161] -5.648073000524839 ;\n", + "Epoch 870/1000, Cost: 3.9489\n", + " and the parameters are [-3.18331865 4.2866526 ] -5.64813439681764 ;\n", + "Epoch 870/1000, Cost: 5.1813\n", + " and the parameters are [-3.18328743 4.2865142 ] -5.648261967583861 ;\n", + "Epoch 870/1000, Cost: 2.2030\n", + " and the parameters are [-3.18329127 4.28647121] -5.648311810470234 ;\n", + "Epoch 870/1000, Cost: 2.9764\n", + " and the parameters are [-3.18332952 4.2865728 ] -5.648225082565885 ;\n", + "Epoch 870/1000, Cost: 2.1150\n", + " and the parameters are [-3.18335549 4.28661249] -5.648213070808468 ;\n", + "Epoch 870/1000, Cost: 1.1285\n", + " and the parameters are [-3.18335911 4.28659216] -5.648248228591657 ;\n", + "Epoch 870/1000, Cost: 1.2112\n", + " and the parameters are [-3.18338482 4.28661271] -5.648238103741749 ;\n", + "Epoch 870/1000, Cost: 2.4653\n", + " and the parameters are [-3.18332128 4.2866504 ] -5.648266686266469 ;\n", + "Epoch 870/1000, Cost: 5.8114\n", + " and the parameters are [-3.18319544 4.2866293 ] -5.648343453350499 ;\n", + "Epoch 870/1000, Cost: 1.4389\n", + " and the parameters are [-3.1831768 4.28663838] -5.648360069002314 ;\n", + "Epoch 870/1000, Cost: 2.3081\n", + " and the parameters are [-3.18315979 4.28665163] -5.64839289660402 ;\n", + "Epoch 870/1000, Cost: 2.7438\n", + " and the parameters are [-3.18314531 4.28674105] -5.648349911435029 ;\n", + "Epoch 870/1000, Cost: 1.3822\n", + " and the parameters are [-3.18318606 4.28676329] -5.648334848548553 ;\n", + "Epoch 870/1000, Cost: 1.9422\n", + " and the parameters are [-3.1832373 4.28675319] -5.648335122974 ;\n", + "Epoch 870/1000, Cost: 1.4517\n", + " and the parameters are [-3.18322921 4.28679938] -5.648332832090476 ;\n", + "Epoch 870/1000, Cost: 1.8220\n", + " and the parameters are [-3.18322841 4.28686648] -5.648306271190157 ;\n", + "Epoch 870/1000, Cost: 4.1232\n", + " and the parameters are [-3.18317744 4.28685814] -5.648339905180131 ;\n", + "Epoch 870/1000, Cost: 4.3431\n", + " and the parameters are [-3.18318907 4.28688402] -5.64833404985988 ;\n", + "Epoch 870/1000, Cost: 3.1045\n", + " and the parameters are [-3.18321978 4.28690632] -5.648319236759964 ;\n", + "Epoch 870/1000, Cost: 3.3688\n", + " and the parameters are [-3.18323669 4.28701021] -5.648255467822688 ;\n", + "Epoch 870/1000, Cost: 3.8395\n", + " and the parameters are [-3.18335721 4.2870036 ] -5.648203876494306 ;\n", + "Epoch 870/1000, Cost: 3.6392\n", + " and the parameters are [-3.1833558 4.28706541] -5.648169631386239 ;\n", + "Epoch 870/1000, Cost: 1.9975\n", + " and the parameters are [-3.18333483 4.28717499] -5.648128873966195 ;\n", + "Epoch 870/1000, Cost: 2.7779\n", + " and the parameters are [-3.1833496 4.28711397] -5.648178095189674 ;\n", + "Epoch 870/1000, Cost: 2.3387\n", + " and the parameters are [-3.18336435 4.28717767] -5.648133293653108 ;\n", + "Epoch 870/1000, Cost: 4.6662\n", + " and the parameters are [-3.18345571 4.28711138] -5.648154231537912 ;\n", + "Epoch 870/1000, Cost: 14.0708\n", + " and the parameters are [-3.18340488 4.28714841] -5.6480694173741375 ;\n", + "Epoch 870/1000, Cost: 1.8684\n", + " and the parameters are [-3.18339081 4.28715969] -5.648094745803534 ;\n", + "Epoch 870/1000, Cost: 2.7962\n", + " and the parameters are [-3.18333335 4.28730015] -5.648033336451671 ;\n", + "Epoch 870/1000, Cost: 3.6418\n", + " and the parameters are [-3.18332951 4.28726319] -5.648085666649833 ;\n", + "Epoch 870/1000, Cost: 1.0301\n", + " and the parameters are [-3.18331216 4.28728556] -5.648095465723117 ;\n", + "Epoch 870/1000, Cost: 5.2822\n", + " and the parameters are [-3.18337667 4.28715391] -5.64817755542069 ;\n", + "Epoch 870/1000, Cost: 3.6366\n", + " and the parameters are [-3.18337092 4.28705954] -5.648270076508231 ;\n", + "Epoch 870/1000, Cost: 3.7683\n", + " and the parameters are [-3.18337388 4.28701506] -5.648331189264056 ;\n", + "Epoch 870/1000, Cost: 0.3805\n", + " and the parameters are [-3.18337424 4.28704399] -5.648321800473144 ;\n", + "Epoch 870/1000, Cost: 3.9013\n", + " and the parameters are [-3.18346588 4.28686796] -5.648394745429428 ;\n", + "Epoch 870/1000, Cost: 3.9314\n", + " and the parameters are [-3.18354769 4.28690292] -5.648348164956039 ;\n", + "Epoch 870/1000, Cost: 1.0331\n", + " and the parameters are [-3.18354214 4.28696841] -5.648325096121934 ;\n", + "Epoch 870/1000, Cost: 5.3216\n", + " and the parameters are [-3.18360421 4.28679538] -5.648430205794729 ;\n", + "Epoch 870/1000, Cost: 5.4337\n", + " and the parameters are [-3.18366396 4.28681456] -5.648398434263805 ;\n", + "Epoch 870/1000, Cost: 2.9304\n", + " and the parameters are [-3.18362597 4.28688093] -5.648394060100893 ;\n", + "Epoch 870/1000, Cost: 1.8590\n", + " and the parameters are [-3.18363954 4.2869228 ] -5.648369063182373 ;\n", + "Epoch 870/1000, Cost: 4.5719\n", + " and the parameters are [-3.18375767 4.28681867] -5.64838689458661 ;\n", + "Epoch 870/1000, Cost: 2.2392\n", + " and the parameters are [-3.18371319 4.2868993 ] -5.648369006281352 ;\n", + "Epoch 870/1000, Cost: 3.1895\n", + " and the parameters are [-3.18368612 4.28694837] -5.648371481148927 ;\n", + "Epoch 870/1000, Cost: 2.9963\n", + " and the parameters are [-3.18371244 4.28694273] -5.648377564982416 ;\n", + "Epoch 870/1000, Cost: 3.9649\n", + " and the parameters are [-3.18370783 4.28702337] -5.648345429546212 ;\n", + "Epoch 870/1000, Cost: 3.0845\n", + " and the parameters are [-3.18373707 4.28702459] -5.648333622443869 ;\n", + "Epoch 870/1000, Cost: 3.3174\n", + " and the parameters are [-3.18371316 4.28706649] -5.648332408584741 ;\n", + "Epoch 870/1000, Cost: 4.2728\n", + " and the parameters are [-3.18377456 4.28701245] -5.648348622288945 ;\n", + "Epoch 870/1000, Cost: 4.9439\n", + " and the parameters are [-3.18378923 4.2869205 ] -5.648408496233498 ;\n", + "Epoch 870/1000, Cost: 1.5492\n", + " and the parameters are [-3.18380876 4.28690544] -5.648437036898335 ;\n", + "Epoch 870/1000, Cost: 1.9965\n", + " and the parameters are [-3.18378609 4.28690545] -5.648461927790538 ;\n", + "Epoch 870/1000, Cost: 3.9987\n", + " and the parameters are [-3.18377203 4.28698494] -5.648418111581772 ;\n", + "Epoch 870/1000, Cost: 1.0886\n", + " and the parameters are [-3.18374006 4.28707582] -5.648388017146225 ;\n", + "Epoch 870/1000, Cost: 2.6778\n", + " and the parameters are [-3.18375977 4.28704337] -5.648419912636585 ;\n", + "Epoch 870/1000, Cost: 4.6217\n", + " and the parameters are [-3.18379091 4.2869506 ] -5.648495144242979 ;\n", + "Epoch 870/1000, Cost: 6.0631\n", + " and the parameters are [-3.18376405 4.28697784] -5.648487027400951 ;\n", + "Epoch 870/1000, Cost: 4.1925\n", + " and the parameters are [-3.18375241 4.28705325] -5.648452369038473 ;\n", + "Epoch 870/1000, Cost: 3.0210\n", + " and the parameters are [-3.18381344 4.28703386] -5.648448711041857 ;\n", + "Epoch 870/1000, Cost: 1.3793\n", + " and the parameters are [-3.18381626 4.28703245] -5.648474543304107 ;\n", + "Epoch 870/1000, Cost: 2.3038\n", + " and the parameters are [-3.18378903 4.2870862 ] -5.648472369267038 ;\n", + "Epoch 870/1000, Cost: 0.9605\n", + " and the parameters are [-3.1837944 4.28711144] -5.648471154659517 ;\n", + "Epoch 870/1000, Cost: 3.7295\n", + " and the parameters are [-3.18377835 4.28721845] -5.648400750903733 ;\n", + "Epoch 870/1000, Cost: 2.7828\n", + " and the parameters are [-3.18380279 4.28723544] -5.648383768324003 ;\n", + "Epoch 870/1000, Cost: 0.9648\n", + " and the parameters are [-3.18380435 4.28728416] -5.648367635119295 ;\n", + "Epoch 870/1000, Cost: 4.5866\n", + " and the parameters are [-3.18379606 4.28741299] -5.64829051917789 ;\n", + "Epoch 870/1000, Cost: 4.3262\n", + " and the parameters are [-3.18376875 4.28728842] -5.648386775191036 ;\n", + "Epoch 870/1000, Cost: 0.6937\n", + " and the parameters are [-3.18376892 4.28730208] -5.648394409068537 ;\n", + "Epoch 870/1000, Cost: 1.6464\n", + " and the parameters are [-3.18375844 4.28736405] -5.64837917257161 ;\n", + "Epoch 870/1000, Cost: 4.6980\n", + " and the parameters are [-3.18376325 4.28736131] -5.648394873012686 ;\n", + "Epoch 870/1000, Cost: 3.7224\n", + " and the parameters are [-3.18381133 4.28740614] -5.648359432399557 ;\n", + "Epoch 870/1000, Cost: 3.3183\n", + " and the parameters are [-3.1837316 4.28735121] -5.6484671708933085 ;\n", + "Epoch 870/1000, Cost: 1.5438\n", + " and the parameters are [-3.1837614 4.2873558] -5.648472861081709 ;\n", + "Epoch 870/1000, Cost: 2.0189\n", + " and the parameters are [-3.18376756 4.28740328] -5.648457734733515 ;\n", + "Epoch 870/1000, Cost: 2.2949\n", + " and the parameters are [-3.18379707 4.2874493 ] -5.648435322873823 ;\n", + "Epoch 870/1000, Cost: 2.5148\n", + " and the parameters are [-3.18382179 4.28747006] -5.648434262442889 ;\n", + "Epoch 870/1000, Cost: 6.0023\n", + " and the parameters are [-3.18382525 4.28743929] -5.648419296047031 ;\n", + "Epoch 870/1000, Cost: 3.5864\n", + " and the parameters are [-3.18377958 4.28739669] -5.648479849181053 ;\n", + "Epoch 870/1000, Cost: 1.1236\n", + " and the parameters are [-3.18378422 4.28745998] -5.648449232165518 ;\n", + "Epoch 870/1000, Cost: 2.0472\n", + " and the parameters are [-3.18382288 4.28740356] -5.648491380387414 ;\n", + "Epoch 870/1000, Cost: 4.0293\n", + " and the parameters are [-3.18387274 4.28742668] -5.648473139578067 ;\n", + "Epoch 870/1000, Cost: 2.7996\n", + " and the parameters are [-3.18390087 4.28735759] -5.648527887968253 ;\n", + "Epoch 880/1000, Cost: 2.2177\n", + " and the parameters are [-3.19212329 4.29779711] -5.6632586361742 ;\n", + "Epoch 880/1000, Cost: 3.1859\n", + " and the parameters are [-3.19212904 4.29783043] -5.663249033479889 ;\n", + "Epoch 880/1000, Cost: 0.3875\n", + " and the parameters are [-3.19212113 4.29784794] -5.6632530205720535 ;\n", + "Epoch 880/1000, Cost: 2.3709\n", + " and the parameters are [-3.19214364 4.29780787] -5.663297787363815 ;\n", + "Epoch 880/1000, Cost: 4.7490\n", + " and the parameters are [-3.19215511 4.2977895 ] -5.663296801149792 ;\n", + "Epoch 880/1000, Cost: 3.5722\n", + " and the parameters are [-3.19211238 4.29780399] -5.663328542519456 ;\n", + "Epoch 880/1000, Cost: 3.7299\n", + " and the parameters are [-3.19216155 4.29774125] -5.663372629210496 ;\n", + "Epoch 880/1000, Cost: 1.5669\n", + " and the parameters are [-3.19216444 4.29772324] -5.663412575794627 ;\n", + "Epoch 880/1000, Cost: 4.8620\n", + " and the parameters are [-3.19224765 4.29768095] -5.663404827693486 ;\n", + "Epoch 880/1000, Cost: 3.0526\n", + " and the parameters are [-3.19228028 4.29770763] -5.66338782414384 ;\n", + "Epoch 880/1000, Cost: 5.5306\n", + " and the parameters are [-3.19224907 4.29771115] -5.6634018838067375 ;\n", + "Epoch 880/1000, Cost: 2.8303\n", + " and the parameters are [-3.19226498 4.29770289] -5.663423486917651 ;\n", + "Epoch 880/1000, Cost: 5.5187\n", + " and the parameters are [-3.19222882 4.29774977] -5.663418269608831 ;\n", + "Epoch 880/1000, Cost: 1.3216\n", + " and the parameters are [-3.19228417 4.29771772] -5.663428414318412 ;\n", + "Epoch 880/1000, Cost: 2.2265\n", + " and the parameters are [-3.19232948 4.29770499] -5.663431032053024 ;\n", + "Epoch 880/1000, Cost: 0.8871\n", + " and the parameters are [-3.19229899 4.29775987] -5.663424249054259 ;\n", + "Epoch 880/1000, Cost: 3.6051\n", + " and the parameters are [-3.1922747 4.29786096] -5.663359831525043 ;\n", + "Epoch 880/1000, Cost: 1.0542\n", + " and the parameters are [-3.19227544 4.29791308] -5.663342195407656 ;\n", + "Epoch 880/1000, Cost: 7.8643\n", + " and the parameters are [-3.19225399 4.2978936 ] -5.663336339672879 ;\n", + "Epoch 880/1000, Cost: 3.3989\n", + " and the parameters are [-3.19222726 4.29790942] -5.663356424543643 ;\n", + "Epoch 880/1000, Cost: 1.3181\n", + " and the parameters are [-3.19221693 4.2979629 ] -5.6633468330129695 ;\n", + "Epoch 880/1000, Cost: 5.0956\n", + " and the parameters are [-3.19220217 4.29797414] -5.663359957963893 ;\n", + "Epoch 880/1000, Cost: 2.0105\n", + " and the parameters are [-3.19219065 4.29805123] -5.663318365014647 ;\n", + "Epoch 880/1000, Cost: 3.9218\n", + " and the parameters are [-3.19229537 4.2979502 ] -5.66332948512405 ;\n", + "Epoch 880/1000, Cost: 2.8352\n", + " and the parameters are [-3.19232324 4.29803694] -5.66326666993634 ;\n", + "Epoch 880/1000, Cost: 2.4298\n", + " and the parameters are [-3.19234656 4.29799051] -5.663300593719485 ;\n", + "Epoch 880/1000, Cost: 1.9597\n", + " and the parameters are [-3.19237517 4.29792167] -5.6633473385846465 ;\n", + "Epoch 880/1000, Cost: 1.7633\n", + " and the parameters are [-3.19240838 4.2979184 ] -5.663355686080713 ;\n", + "Epoch 880/1000, Cost: 1.3896\n", + " and the parameters are [-3.19237711 4.29796237] -5.663362114842923 ;\n", + "Epoch 880/1000, Cost: 2.5989\n", + " and the parameters are [-3.1924048 4.29802035] -5.663330789957014 ;\n", + "Epoch 880/1000, Cost: 2.5214\n", + " and the parameters are [-3.19244889 4.2980762 ] -5.663293607736777 ;\n", + "Epoch 880/1000, Cost: 3.0032\n", + " and the parameters are [-3.19244571 4.29802865] -5.663344695604949 ;\n", + "Epoch 880/1000, Cost: 2.2929\n", + " and the parameters are [-3.19244142 4.29803888] -5.663358779904231 ;\n", + "Epoch 880/1000, Cost: 5.8507\n", + " and the parameters are [-3.19242135 4.29811759] -5.66332056302598 ;\n", + "Epoch 880/1000, Cost: 2.1918\n", + " and the parameters are [-3.19231885 4.29828158] -5.66327472477244 ;\n", + "Epoch 880/1000, Cost: 3.4584\n", + " and the parameters are [-3.19240606 4.29829888] -5.663228852084211 ;\n", + "Epoch 880/1000, Cost: 8.5555\n", + " and the parameters are [-3.19239846 4.29813544] -5.663322640243383 ;\n", + "Epoch 880/1000, Cost: 3.2019\n", + " and the parameters are [-3.19236794 4.29811625] -5.663369905285719 ;\n", + "Epoch 880/1000, Cost: 4.5045\n", + " and the parameters are [-3.19241409 4.29801696] -5.663428700482071 ;\n", + "Epoch 880/1000, Cost: 2.8331\n", + " and the parameters are [-3.19240148 4.29796854] -5.66349309789852 ;\n", + "Epoch 880/1000, Cost: 0.8682\n", + " and the parameters are [-3.1923971 4.29799327] -5.663496126614316 ;\n", + "Epoch 880/1000, Cost: 1.7008\n", + " and the parameters are [-3.19238999 4.29802614] -5.663503646310863 ;\n", + "Epoch 880/1000, Cost: 3.8104\n", + " and the parameters are [-3.19234338 4.29823097] -5.663398448393505 ;\n", + "Epoch 880/1000, Cost: 2.2085\n", + " and the parameters are [-3.19234448 4.29831236] -5.6633604914917886 ;\n", + "Epoch 880/1000, Cost: 1.5009\n", + " and the parameters are [-3.19231091 4.29839158] -5.66334021222302 ;\n", + "Epoch 880/1000, Cost: 5.6903\n", + " and the parameters are [-3.19229674 4.29843156] -5.663301497176963 ;\n", + "Epoch 880/1000, Cost: 4.1507\n", + " and the parameters are [-3.1923858 4.29837684] -5.66329822429218 ;\n", + "Epoch 880/1000, Cost: 1.5796\n", + " and the parameters are [-3.19238238 4.29843011] -5.663285722790193 ;\n", + "Epoch 880/1000, Cost: 0.9558\n", + " and the parameters are [-3.19241029 4.29841776] -5.663298342262085 ;\n", + "Epoch 880/1000, Cost: 5.3443\n", + " and the parameters are [-3.19242534 4.29834284] -5.663332539331337 ;\n", + "Epoch 880/1000, Cost: 1.0211\n", + " and the parameters are [-3.19244138 4.298363 ] -5.6633274454564395 ;\n", + "Epoch 880/1000, Cost: 1.8530\n", + " and the parameters are [-3.19244758 4.29835442] -5.663360617769064 ;\n", + "Epoch 880/1000, Cost: 2.8044\n", + " and the parameters are [-3.19242641 4.29841366] -5.663352734312915 ;\n", + "Epoch 880/1000, Cost: 4.1306\n", + " and the parameters are [-3.19250775 4.29844029] -5.663302829699395 ;\n", + "Epoch 880/1000, Cost: 0.7900\n", + " and the parameters are [-3.19251918 4.29848332] -5.663281444106574 ;\n", + "Epoch 880/1000, Cost: 0.5798\n", + " and the parameters are [-3.19251842 4.29849506] -5.6632901910478886 ;\n", + "Epoch 880/1000, Cost: 3.0715\n", + " and the parameters are [-3.19246474 4.29842454] -5.663397349426772 ;\n", + "Epoch 880/1000, Cost: 5.4839\n", + " and the parameters are [-3.1925431 4.29838395] -5.663400788980967 ;\n", + "Epoch 880/1000, Cost: 2.2336\n", + " and the parameters are [-3.19256266 4.29837147] -5.663426498653787 ;\n", + "Epoch 880/1000, Cost: 0.9901\n", + " and the parameters are [-3.19255307 4.29836365] -5.663456576652304 ;\n", + "Epoch 880/1000, Cost: 5.0178\n", + " and the parameters are [-3.19257032 4.29824432] -5.663541855054821 ;\n", + "Epoch 880/1000, Cost: 2.7829\n", + " and the parameters are [-3.19254418 4.29831342] -5.663505510404152 ;\n", + "Epoch 880/1000, Cost: 6.2158\n", + " and the parameters are [-3.19264903 4.29826293] -5.66347796596264 ;\n", + "Epoch 880/1000, Cost: 0.7041\n", + " and the parameters are [-3.19266023 4.29824516] -5.663501316772376 ;\n", + "Epoch 880/1000, Cost: 1.2931\n", + " and the parameters are [-3.19265388 4.29829657] -5.663487623153552 ;\n", + "Epoch 880/1000, Cost: 3.5763\n", + " and the parameters are [-3.19274749 4.29821229] -5.663499184361813 ;\n", + "Epoch 880/1000, Cost: 2.7596\n", + " and the parameters are [-3.19276136 4.29825185] -5.66346690442801 ;\n", + "Epoch 880/1000, Cost: 4.5852\n", + " and the parameters are [-3.19279008 4.29817577] -5.663506733497335 ;\n", + "Epoch 880/1000, Cost: 1.2336\n", + " and the parameters are [-3.19280423 4.29816048] -5.663532030999535 ;\n", + "Epoch 880/1000, Cost: 6.0891\n", + " and the parameters are [-3.19272666 4.29825143] -5.6634927796987595 ;\n", + "Epoch 880/1000, Cost: 5.0081\n", + " and the parameters are [-3.19269838 4.29829814] -5.6634723765239885 ;\n", + "Epoch 880/1000, Cost: 2.3317\n", + " and the parameters are [-3.19267028 4.29830023] -5.663491766139184 ;\n", + "Epoch 880/1000, Cost: 2.9181\n", + " and the parameters are [-3.19270813 4.29828226] -5.66350697781493 ;\n", + "Epoch 880/1000, Cost: 2.5460\n", + " and the parameters are [-3.19278155 4.29817242] -5.663560451747825 ;\n", + "Epoch 880/1000, Cost: 5.1470\n", + " and the parameters are [-3.19283571 4.29792302] -5.663720314011172 ;\n", + "Epoch 880/1000, Cost: 1.3168\n", + " and the parameters are [-3.19283673 4.29797901] -5.663702823152637 ;\n", + "Epoch 880/1000, Cost: 1.7350\n", + " and the parameters are [-3.19288368 4.29800326] -5.663687060757021 ;\n", + "Epoch 880/1000, Cost: 5.3668\n", + " and the parameters are [-3.19279888 4.29803617] -5.663703606248878 ;\n", + "Epoch 880/1000, Cost: 1.4859\n", + " and the parameters are [-3.1927412 4.29808739] -5.663720221126866 ;\n", + "Epoch 880/1000, Cost: 6.0660\n", + " and the parameters are [-3.19287131 4.29799695] -5.663701889121472 ;\n", + "Epoch 880/1000, Cost: 3.3629\n", + " and the parameters are [-3.19282625 4.2979393 ] -5.663789883282265 ;\n", + "Epoch 880/1000, Cost: 1.5551\n", + " and the parameters are [-3.19280359 4.29799687] -5.663780455932052 ;\n", + "Epoch 880/1000, Cost: 2.6952\n", + " and the parameters are [-3.1927678 4.29812044] -5.663732136307619 ;\n", + "Epoch 880/1000, Cost: 1.2083\n", + " and the parameters are [-3.19277145 4.29817186] -5.663717842784637 ;\n", + "Epoch 880/1000, Cost: 2.1766\n", + " and the parameters are [-3.19276178 4.29815476] -5.663754944002826 ;\n", + "Epoch 880/1000, Cost: 6.3202\n", + " and the parameters are [-3.19274446 4.29803396] -5.663844597370687 ;\n", + "Epoch 880/1000, Cost: 1.8223\n", + " and the parameters are [-3.19273498 4.29804624] -5.66386020035096 ;\n", + "Epoch 880/1000, Cost: 3.4009\n", + " and the parameters are [-3.19276087 4.29815539] -5.663776593345783 ;\n", + "Epoch 880/1000, Cost: 6.7336\n", + " and the parameters are [-3.19292517 4.29806217] -5.6637675750682925 ;\n", + "Epoch 880/1000, Cost: 2.8047\n", + " and the parameters are [-3.19286219 4.29803319] -5.663841263674575 ;\n", + "Epoch 880/1000, Cost: 1.3243\n", + " and the parameters are [-3.19289262 4.29801359] -5.663857354890513 ;\n", + "Epoch 880/1000, Cost: 4.1124\n", + " and the parameters are [-3.19286087 4.29802988] -5.663871343992336 ;\n", + "Epoch 880/1000, Cost: 2.5496\n", + " and the parameters are [-3.19283091 4.29810644] -5.663860030446792 ;\n", + "Epoch 880/1000, Cost: 1.4912\n", + " and the parameters are [-3.19279581 4.29814653] -5.663873734975604 ;\n", + "Epoch 880/1000, Cost: 2.1934\n", + " and the parameters are [-3.19278884 4.29811881] -5.663922373043959 ;\n", + "Epoch 880/1000, Cost: 4.1387\n", + " and the parameters are [-3.19276189 4.29815506] -5.663933540155782 ;\n", + "Epoch 880/1000, Cost: 7.0483\n", + " and the parameters are [-3.19273645 4.29801533] -5.6640512731957715 ;\n", + "Epoch 880/1000, Cost: 1.8079\n", + " and the parameters are [-3.19273229 4.29801031] -5.66407904975178 ;\n", + "Epoch 880/1000, Cost: 1.1718\n", + " and the parameters are [-3.19271426 4.29807507] -5.664061601159818 ;\n", + "Epoch 880/1000, Cost: 2.8327\n", + " and the parameters are [-3.19276788 4.29801656] -5.6641018838723 ;\n", + "Epoch 880/1000, Cost: 0.7279\n", + " and the parameters are [-3.19276894 4.29804064] -5.664096985099597 ;\n", + "Epoch 880/1000, Cost: 1.9056\n", + " and the parameters are [-3.19275597 4.29809206] -5.664087789737467 ;\n", + "Epoch 880/1000, Cost: 1.7108\n", + " and the parameters are [-3.19277174 4.29816268] -5.6640449607346115 ;\n", + "Epoch 880/1000, Cost: 1.0676\n", + " and the parameters are [-3.1927991 4.29817352] -5.664042331840678 ;\n", + "Epoch 880/1000, Cost: 1.0586\n", + " and the parameters are [-3.19280242 4.29820163] -5.664041032631031 ;\n", + "Epoch 880/1000, Cost: 0.5794\n", + " and the parameters are [-3.19281045 4.29820358] -5.664049093693755 ;\n", + "Epoch 880/1000, Cost: 1.9298\n", + " and the parameters are [-3.1928478 4.29826236] -5.663998471927009 ;\n", + "Epoch 880/1000, Cost: 4.6560\n", + " and the parameters are [-3.19281401 4.29832826] -5.663955888184296 ;\n", + "Epoch 880/1000, Cost: 0.7932\n", + " and the parameters are [-3.19281032 4.29835466] -5.663958312525016 ;\n", + "Epoch 880/1000, Cost: 1.4857\n", + " and the parameters are [-3.19283486 4.29838388] -5.663951355065629 ;\n", + "Epoch 880/1000, Cost: 1.2945\n", + " and the parameters are [-3.19283131 4.29840092] -5.663961323354933 ;\n", + "Epoch 880/1000, Cost: 1.4454\n", + " and the parameters are [-3.1928221 4.2984433] -5.6639477264212745 ;\n", + "Epoch 880/1000, Cost: 4.1117\n", + " and the parameters are [-3.19278799 4.29854833] -5.6639040519256465 ;\n", + "Epoch 880/1000, Cost: 2.4945\n", + " and the parameters are [-3.19277759 4.29860228] -5.66389913835805 ;\n", + "Epoch 880/1000, Cost: 2.9301\n", + " and the parameters are [-3.19276684 4.29863768] -5.663895685038766 ;\n", + "Epoch 880/1000, Cost: 1.2759\n", + " and the parameters are [-3.19274305 4.29863433] -5.663930340998456 ;\n", + "Epoch 880/1000, Cost: 2.7870\n", + " and the parameters are [-3.1927132 4.2986576] -5.663936696118123 ;\n", + "Epoch 880/1000, Cost: 3.5534\n", + " and the parameters are [-3.1927411 4.29865536] -5.663951162562091 ;\n", + "Epoch 880/1000, Cost: 4.4343\n", + " and the parameters are [-3.19259976 4.29867668] -5.6640026284026135 ;\n", + "Epoch 880/1000, Cost: 2.3861\n", + " and the parameters are [-3.1925479 4.2986764] -5.664044619597452 ;\n", + "Epoch 880/1000, Cost: 1.4033\n", + " and the parameters are [-3.19255009 4.29865433] -5.664087734492246 ;\n", + "Epoch 880/1000, Cost: 1.2830\n", + " and the parameters are [-3.19256948 4.29863942] -5.664107454863885 ;\n", + "Epoch 880/1000, Cost: 2.0292\n", + " and the parameters are [-3.19252768 4.29867185] -5.664131704966655 ;\n", + "Epoch 880/1000, Cost: 5.9803\n", + " and the parameters are [-3.19257657 4.29857412] -5.66417170292544 ;\n", + "Epoch 880/1000, Cost: 2.9446\n", + " and the parameters are [-3.19256127 4.29859818] -5.664182613512557 ;\n", + "Epoch 880/1000, Cost: 3.1876\n", + " and the parameters are [-3.19262274 4.29852561] -5.664233012072419 ;\n", + "Epoch 880/1000, Cost: 4.2016\n", + " and the parameters are [-3.1926317 4.2985792] -5.664213693396657 ;\n", + "Epoch 880/1000, Cost: 1.0369\n", + " and the parameters are [-3.19259841 4.29863674] -5.664210096289043 ;\n", + "Epoch 880/1000, Cost: 1.5963\n", + " and the parameters are [-3.19257311 4.29869231] -5.6642122840258375 ;\n", + "Epoch 880/1000, Cost: 2.2565\n", + " and the parameters are [-3.1925339 4.29875519] -5.664210192805218 ;\n", + "Epoch 880/1000, Cost: 3.3562\n", + " and the parameters are [-3.19260879 4.29873329] -5.664208260386441 ;\n", + "Epoch 880/1000, Cost: 2.6507\n", + " and the parameters are [-3.19258274 4.29873409] -5.664241849259045 ;\n", + "Epoch 880/1000, Cost: 2.9442\n", + " and the parameters are [-3.19257003 4.29871455] -5.664292913692206 ;\n", + "Epoch 880/1000, Cost: 4.9473\n", + " and the parameters are [-3.19257282 4.29880206] -5.664238261657874 ;\n", + "Epoch 880/1000, Cost: 4.4873\n", + " and the parameters are [-3.19254143 4.29888255] -5.664218632534946 ;\n", + "Epoch 880/1000, Cost: 2.7690\n", + " and the parameters are [-3.19254003 4.29879813] -5.664294842724365 ;\n", + "Epoch 880/1000, Cost: 4.6727\n", + " and the parameters are [-3.1925611 4.29884364] -5.664241869159817 ;\n", + "Epoch 880/1000, Cost: 4.1464\n", + " and the parameters are [-3.19254287 4.29880872] -5.664290259914606 ;\n", + "Epoch 880/1000, Cost: 5.1693\n", + " and the parameters are [-3.19255096 4.29882592] -5.66428070284507 ;\n", + "Epoch 880/1000, Cost: 2.1782\n", + " and the parameters are [-3.19251519 4.29888353] -5.664288031746546 ;\n", + "Epoch 880/1000, Cost: 2.7117\n", + " and the parameters are [-3.19251013 4.29889721] -5.66431229673795 ;\n", + "Epoch 880/1000, Cost: 1.5685\n", + " and the parameters are [-3.19256396 4.29888758] -5.664306852835751 ;\n", + "Epoch 880/1000, Cost: 4.6965\n", + " and the parameters are [-3.19255823 4.29895021] -5.664254450643951 ;\n", + "Epoch 880/1000, Cost: 7.9243\n", + " and the parameters are [-3.19256377 4.29891266] -5.664259275656048 ;\n", + "Epoch 880/1000, Cost: 1.2881\n", + " and the parameters are [-3.19260133 4.29893556] -5.664245181997355 ;\n", + "Epoch 880/1000, Cost: 1.9972\n", + " and the parameters are [-3.192634 4.29892924] -5.664254396109903 ;\n", + "Epoch 880/1000, Cost: 0.9089\n", + " and the parameters are [-3.19264788 4.29891699] -5.664275313168703 ;\n", + "Epoch 880/1000, Cost: 13.4783\n", + " and the parameters are [-3.19286107 4.29867649] -5.664269514509639 ;\n", + "Epoch 880/1000, Cost: 3.0298\n", + " and the parameters are [-3.19290055 4.29869824] -5.664235980732473 ;\n", + "Epoch 880/1000, Cost: 1.2800\n", + " and the parameters are [-3.19291994 4.29874872] -5.664204883799591 ;\n", + "Epoch 880/1000, Cost: 2.4838\n", + " and the parameters are [-3.19294831 4.29875623] -5.664195708059984 ;\n", + "Epoch 880/1000, Cost: 2.2826\n", + " and the parameters are [-3.19298536 4.29871814] -5.664226315668178 ;\n", + "Epoch 880/1000, Cost: 6.0217\n", + " and the parameters are [-3.19304365 4.2985409 ] -5.664319151312406 ;\n", + "Epoch 880/1000, Cost: 4.1034\n", + " and the parameters are [-3.19301137 4.29863301] -5.664284437013924 ;\n", + "Epoch 880/1000, Cost: 2.0466\n", + " and the parameters are [-3.19299329 4.29862169] -5.664326307822028 ;\n", + "Epoch 880/1000, Cost: 0.9744\n", + " and the parameters are [-3.19299375 4.29862521] -5.664345282757259 ;\n", + "Epoch 880/1000, Cost: 6.0955\n", + " and the parameters are [-3.1930519 4.29846254] -5.664439373090782 ;\n", + "Epoch 880/1000, Cost: 2.2322\n", + " and the parameters are [-3.19307773 4.29842215] -5.664491806044504 ;\n", + "Epoch 880/1000, Cost: 3.7622\n", + " and the parameters are [-3.19303431 4.29846917] -5.664485378998097 ;\n", + "Epoch 880/1000, Cost: 1.9257\n", + " and the parameters are [-3.19306607 4.29842507] -5.6645166301370145 ;\n", + "Epoch 880/1000, Cost: 3.3566\n", + " and the parameters are [-3.19315233 4.29840324] -5.664498450836915 ;\n", + "Epoch 880/1000, Cost: 1.3240\n", + " and the parameters are [-3.19317727 4.29843805] -5.664483632921256 ;\n", + "Epoch 880/1000, Cost: 5.0743\n", + " and the parameters are [-3.19313645 4.29838999] -5.664551262506143 ;\n", + "Epoch 880/1000, Cost: 1.1142\n", + " and the parameters are [-3.19313899 4.29841677] -5.664550209351453 ;\n", + "Epoch 880/1000, Cost: 4.1233\n", + " and the parameters are [-3.19314092 4.29852586] -5.664472996205655 ;\n", + "Epoch 880/1000, Cost: 2.1157\n", + " and the parameters are [-3.1931098 4.29860004] -5.6644623868592205 ;\n", + "Epoch 880/1000, Cost: 4.8845\n", + " and the parameters are [-3.19315072 4.29840643] -5.664604743450909 ;\n", + "Epoch 880/1000, Cost: 1.9643\n", + " and the parameters are [-3.1931622 4.29845906] -5.664583291704164 ;\n", + "Epoch 880/1000, Cost: 4.0026\n", + " and the parameters are [-3.19313927 4.29845863] -5.664616391234603 ;\n", + "Epoch 880/1000, Cost: 4.4961\n", + " and the parameters are [-3.19313968 4.29845453] -5.66462437347284 ;\n", + "Epoch 880/1000, Cost: 3.7797\n", + " and the parameters are [-3.19318032 4.2984851 ] -5.664574119544642 ;\n", + "Epoch 880/1000, Cost: 2.1524\n", + " and the parameters are [-3.19318107 4.29850477] -5.664577492958291 ;\n", + "Epoch 880/1000, Cost: 2.5633\n", + " and the parameters are [-3.19316527 4.29851909] -5.664595400504654 ;\n", + "Epoch 880/1000, Cost: 1.4587\n", + " and the parameters are [-3.19316706 4.29852775] -5.664607633590223 ;\n", + "Epoch 880/1000, Cost: 1.8433\n", + " and the parameters are [-3.19318486 4.2984805 ] -5.664659267213252 ;\n", + "Epoch 880/1000, Cost: 1.7692\n", + " and the parameters are [-3.19314729 4.29849835] -5.664683590423994 ;\n", + "Epoch 880/1000, Cost: 1.6326\n", + " and the parameters are [-3.19317328 4.29857539] -5.664625682850629 ;\n", + "Epoch 880/1000, Cost: 2.6791\n", + " and the parameters are [-3.1931107 4.29864532] -5.664626898984415 ;\n", + "Epoch 880/1000, Cost: 2.0412\n", + " and the parameters are [-3.19313562 4.29862187] -5.664653122032752 ;\n", + "Epoch 880/1000, Cost: 2.2409\n", + " and the parameters are [-3.19318063 4.29863339] -5.66463730966693 ;\n", + "Epoch 880/1000, Cost: 3.7600\n", + " and the parameters are [-3.19322849 4.29870837] -5.664575715869615 ;\n", + "Epoch 880/1000, Cost: 3.8370\n", + " and the parameters are [-3.19320301 4.29867444] -5.6646418292656815 ;\n", + "Epoch 880/1000, Cost: 5.2478\n", + " and the parameters are [-3.19333483 4.29845648] -5.664746571577378 ;\n", + "Epoch 880/1000, Cost: 3.0762\n", + " and the parameters are [-3.19330187 4.29849774] -5.664743934072022 ;\n", + "Epoch 880/1000, Cost: 2.4709\n", + " and the parameters are [-3.19330421 4.29855317] -5.664731144032977 ;\n", + "Epoch 880/1000, Cost: 4.8890\n", + " and the parameters are [-3.19332303 4.29853572] -5.664752870086273 ;\n", + "Epoch 880/1000, Cost: 1.8125\n", + " and the parameters are [-3.19331441 4.29850209] -5.664804689937104 ;\n", + "Epoch 880/1000, Cost: 4.0450\n", + " and the parameters are [-3.1932982 4.29842319] -5.664891509696225 ;\n", + "Epoch 880/1000, Cost: 5.1162\n", + " and the parameters are [-3.19333462 4.29844394] -5.664860979957371 ;\n", + "Epoch 880/1000, Cost: 1.5790\n", + " and the parameters are [-3.19333595 4.29848338] -5.664856031430936 ;\n", + "Epoch 880/1000, Cost: 4.1989\n", + " and the parameters are [-3.19334019 4.29856112] -5.664797406766315 ;\n", + "Epoch 880/1000, Cost: 1.3260\n", + " and the parameters are [-3.19330507 4.29862059] -5.664797208480575 ;\n", + "Epoch 880/1000, Cost: 1.7511\n", + " and the parameters are [-3.19328927 4.29869488] -5.664781777409328 ;\n", + "Epoch 880/1000, Cost: 1.8832\n", + " and the parameters are [-3.19326439 4.29875319] -5.664770625330951 ;\n", + "Epoch 880/1000, Cost: 4.8251\n", + " and the parameters are [-3.19314718 4.2988176 ] -5.6647990468341956 ;\n", + "Epoch 880/1000, Cost: 1.7054\n", + " and the parameters are [-3.19313864 4.29882096] -5.664823278170946 ;\n", + "Epoch 880/1000, Cost: 4.6106\n", + " and the parameters are [-3.19305398 4.29887984] -5.664838016953122 ;\n", + "Epoch 880/1000, Cost: 2.2045\n", + " and the parameters are [-3.19307456 4.29895563] -5.664792269578946 ;\n", + "Epoch 880/1000, Cost: 5.3479\n", + " and the parameters are [-3.19305089 4.29891334] -5.664854341463326 ;\n", + "Epoch 880/1000, Cost: 0.7372\n", + " and the parameters are [-3.19307185 4.298912 ] -5.664862119813328 ;\n", + "Epoch 890/1000, Cost: 5.0171\n", + " and the parameters are [-3.20128492 4.30922521] -5.67937891349068 ;\n", + "Epoch 890/1000, Cost: 3.3211\n", + " and the parameters are [-3.20131349 4.30913394] -5.679445073614845 ;\n", + "Epoch 890/1000, Cost: 3.7480\n", + " and the parameters are [-3.20130218 4.30914742] -5.679459599702729 ;\n", + "Epoch 890/1000, Cost: 1.9757\n", + " and the parameters are [-3.20127143 4.30909704] -5.679530974669303 ;\n", + "Epoch 890/1000, Cost: 1.8569\n", + " and the parameters are [-3.20129453 4.30912632] -5.679521177041559 ;\n", + "Epoch 890/1000, Cost: 4.0173\n", + " and the parameters are [-3.20140208 4.30892262] -5.679605560698341 ;\n", + "Epoch 890/1000, Cost: 2.3448\n", + " and the parameters are [-3.20135291 4.30896943] -5.679611684976136 ;\n", + "Epoch 890/1000, Cost: 2.7371\n", + " and the parameters are [-3.20141638 4.30902922] -5.679552645493089 ;\n", + "Epoch 890/1000, Cost: 2.7349\n", + " and the parameters are [-3.2014646 4.30892879] -5.679605508365932 ;\n", + "Epoch 890/1000, Cost: 3.8222\n", + " and the parameters are [-3.20151945 4.30884252] -5.679654286874964 ;\n", + "Epoch 890/1000, Cost: 2.8189\n", + " and the parameters are [-3.20152977 4.30885526] -5.679651293725623 ;\n", + "Epoch 890/1000, Cost: 7.1669\n", + " and the parameters are [-3.2014857 4.30891428] -5.679620634669036 ;\n", + "Epoch 890/1000, Cost: 3.5445\n", + " and the parameters are [-3.20145753 4.30889771] -5.679681912560815 ;\n", + "Epoch 890/1000, Cost: 6.2653\n", + " and the parameters are [-3.20133589 4.30878048] -5.6798246248334925 ;\n", + "Epoch 890/1000, Cost: 2.4726\n", + " and the parameters are [-3.20130161 4.30892022] -5.679755844613416 ;\n", + "Epoch 890/1000, Cost: 2.2873\n", + " and the parameters are [-3.20130838 4.30898068] -5.679735589927851 ;\n", + "Epoch 890/1000, Cost: 2.0074\n", + " and the parameters are [-3.20135205 4.30890892] -5.679787774905482 ;\n", + "Epoch 890/1000, Cost: 2.9839\n", + " and the parameters are [-3.20130123 4.30904105] -5.679715190286924 ;\n", + "Epoch 890/1000, Cost: 3.5122\n", + " and the parameters are [-3.20132947 4.30893177] -5.679801867950121 ;\n", + "Epoch 890/1000, Cost: 8.6385\n", + " and the parameters are [-3.20132408 4.30897808] -5.679737057110997 ;\n", + "Epoch 890/1000, Cost: 1.9118\n", + " and the parameters are [-3.20132205 4.30895317] -5.679773555789913 ;\n", + "Epoch 890/1000, Cost: 2.6659\n", + " and the parameters are [-3.2012918 4.30887443] -5.679876118351363 ;\n", + "Epoch 890/1000, Cost: 3.0014\n", + " and the parameters are [-3.20131224 4.30894046] -5.6798327619539295 ;\n", + "Epoch 890/1000, Cost: 1.2854\n", + " and the parameters are [-3.20132285 4.30894258] -5.679847794380237 ;\n", + "Epoch 890/1000, Cost: 2.6366\n", + " and the parameters are [-3.20127269 4.30900927] -5.679854379004564 ;\n", + "Epoch 890/1000, Cost: 5.5052\n", + " and the parameters are [-3.20127219 4.30902333] -5.679849650987375 ;\n", + "Epoch 890/1000, Cost: 4.9121\n", + " and the parameters are [-3.20122411 4.309088 ] -5.679852596874884 ;\n", + "Epoch 890/1000, Cost: 0.3892\n", + " and the parameters are [-3.20123053 4.30909636] -5.679855414257042 ;\n", + "Epoch 890/1000, Cost: 3.1197\n", + " and the parameters are [-3.2011751 4.30916104] -5.679849880777835 ;\n", + "Epoch 890/1000, Cost: 4.5776\n", + " and the parameters are [-3.20115356 4.30911733] -5.679907131652944 ;\n", + "Epoch 890/1000, Cost: 2.9028\n", + " and the parameters are [-3.20112432 4.30914461] -5.679934300667951 ;\n", + "Epoch 890/1000, Cost: 0.8393\n", + " and the parameters are [-3.20114049 4.30917127] -5.679924815133599 ;\n", + "Epoch 890/1000, Cost: 1.1780\n", + " and the parameters are [-3.20116079 4.30920634] -5.679910255781417 ;\n", + "Epoch 890/1000, Cost: 2.7223\n", + " and the parameters are [-3.20113302 4.3092515 ] -5.679926232956284 ;\n", + "Epoch 890/1000, Cost: 5.1228\n", + " and the parameters are [-3.20119408 4.30932527] -5.679829041022179 ;\n", + "Epoch 890/1000, Cost: 2.9415\n", + " and the parameters are [-3.20124788 4.30939841] -5.679757167091995 ;\n", + "Epoch 890/1000, Cost: 1.5850\n", + " and the parameters are [-3.20123231 4.30945016] -5.679750888079168 ;\n", + "Epoch 890/1000, Cost: 1.2403\n", + " and the parameters are [-3.20120266 4.30951967] -5.6797368933321755 ;\n", + "Epoch 890/1000, Cost: 3.1461\n", + " and the parameters are [-3.20126919 4.30945536] -5.679756302533188 ;\n", + "Epoch 890/1000, Cost: 1.4370\n", + " and the parameters are [-3.20127973 4.30950691] -5.679731592623196 ;\n", + "Epoch 890/1000, Cost: 2.2556\n", + " and the parameters are [-3.20131561 4.30953579] -5.679710490572105 ;\n", + "Epoch 890/1000, Cost: 2.6288\n", + " and the parameters are [-3.20129766 4.30955559] -5.679719006520704 ;\n", + "Epoch 890/1000, Cost: 2.5812\n", + " and the parameters are [-3.20132783 4.30955248] -5.679727104615268 ;\n", + "Epoch 890/1000, Cost: 4.4296\n", + " and the parameters are [-3.20136178 4.30949515] -5.679749954343216 ;\n", + "Epoch 890/1000, Cost: 3.2203\n", + " and the parameters are [-3.2013004 4.30964461] -5.679681937682237 ;\n", + "Epoch 890/1000, Cost: 2.9911\n", + " and the parameters are [-3.20134195 4.30959252] -5.679720386247953 ;\n", + "Epoch 890/1000, Cost: 5.6694\n", + " and the parameters are [-3.20135607 4.30951558] -5.679755838852824 ;\n", + "Epoch 890/1000, Cost: 2.5397\n", + " and the parameters are [-3.20136665 4.3096265 ] -5.679695107482273 ;\n", + "Epoch 890/1000, Cost: 2.9797\n", + " and the parameters are [-3.20132248 4.30978944] -5.679623105413702 ;\n", + "Epoch 890/1000, Cost: 3.5259\n", + " and the parameters are [-3.20130034 4.3097452 ] -5.679682518739762 ;\n", + "Epoch 890/1000, Cost: 3.8733\n", + " and the parameters are [-3.20135498 4.30973319] -5.679665437175399 ;\n", + "Epoch 890/1000, Cost: 2.8289\n", + " and the parameters are [-3.2013648 4.30964699] -5.679734370316004 ;\n", + "Epoch 890/1000, Cost: 1.4528\n", + " and the parameters are [-3.20136735 4.30962312] -5.679766187309247 ;\n", + "Epoch 890/1000, Cost: 3.1884\n", + " and the parameters are [-3.20136657 4.30957732] -5.679826901796728 ;\n", + "Epoch 890/1000, Cost: 2.8014\n", + " and the parameters are [-3.20141249 4.30959516] -5.6798114507863415 ;\n", + "Epoch 890/1000, Cost: 0.4807\n", + " and the parameters are [-3.20140263 4.30960208] -5.67982449390376 ;\n", + "Epoch 890/1000, Cost: 2.8277\n", + " and the parameters are [-3.20142436 4.30959942] -5.679828228016044 ;\n", + "Epoch 890/1000, Cost: 2.9061\n", + " and the parameters are [-3.20147819 4.30961037] -5.679810250660581 ;\n", + "Epoch 890/1000, Cost: 3.9921\n", + " and the parameters are [-3.20145574 4.30958865] -5.679874733970476 ;\n", + "Epoch 890/1000, Cost: 3.9990\n", + " and the parameters are [-3.20150913 4.30948031] -5.679940156625589 ;\n", + "Epoch 890/1000, Cost: 4.2307\n", + " and the parameters are [-3.20157655 4.30940688] -5.679965869124987 ;\n", + "Epoch 890/1000, Cost: 1.7984\n", + " and the parameters are [-3.20157323 4.30951363] -5.679904610224069 ;\n", + "Epoch 890/1000, Cost: 1.3075\n", + " and the parameters are [-3.20157192 4.30958078] -5.679872168153972 ;\n", + "Epoch 890/1000, Cost: 4.2703\n", + " and the parameters are [-3.20154685 4.30962717] -5.6798573168659905 ;\n", + "Epoch 890/1000, Cost: 1.0765\n", + " and the parameters are [-3.20157629 4.30961271] -5.679871090483488 ;\n", + "Epoch 890/1000, Cost: 0.9598\n", + " and the parameters are [-3.20158965 4.30966476] -5.679840889235563 ;\n", + "Epoch 890/1000, Cost: 0.9744\n", + " and the parameters are [-3.20159616 4.30971212] -5.679821768050606 ;\n", + "Epoch 890/1000, Cost: 3.7824\n", + " and the parameters are [-3.20162074 4.30962066] -5.679868008252559 ;\n", + "Epoch 890/1000, Cost: 2.9568\n", + " and the parameters are [-3.201647 4.30953141] -5.679941362004269 ;\n", + "Epoch 890/1000, Cost: 2.4212\n", + " and the parameters are [-3.20163061 4.30964685] -5.679884214476661 ;\n", + "Epoch 890/1000, Cost: 3.5853\n", + " and the parameters are [-3.20165089 4.30967547] -5.679867731909295 ;\n", + "Epoch 890/1000, Cost: 1.0939\n", + " and the parameters are [-3.20161433 4.30968217] -5.679901122221574 ;\n", + "Epoch 890/1000, Cost: 2.0673\n", + " and the parameters are [-3.20164265 4.30975848] -5.679843863893475 ;\n", + "Epoch 890/1000, Cost: 2.9142\n", + " and the parameters are [-3.20162714 4.30983748] -5.679830818408696 ;\n", + "Epoch 890/1000, Cost: 2.3585\n", + " and the parameters are [-3.20166359 4.30973039] -5.679903159278859 ;\n", + "Epoch 890/1000, Cost: 1.9738\n", + " and the parameters are [-3.20165602 4.30971702] -5.679938255691269 ;\n", + "Epoch 890/1000, Cost: 5.4654\n", + " and the parameters are [-3.2015944 4.3096291] -5.680040259316559 ;\n", + "Epoch 890/1000, Cost: 2.8579\n", + " and the parameters are [-3.20157764 4.30967209] -5.680035315088688 ;\n", + "Epoch 890/1000, Cost: 1.2186\n", + " and the parameters are [-3.2015837 4.30964008] -5.680069772043614 ;\n", + "Epoch 890/1000, Cost: 3.8744\n", + " and the parameters are [-3.20161473 4.30962559] -5.680081553498213 ;\n", + "Epoch 890/1000, Cost: 2.8205\n", + " and the parameters are [-3.20156668 4.30965633] -5.680100625233972 ;\n", + "Epoch 890/1000, Cost: 2.7950\n", + " and the parameters are [-3.20157833 4.30955524] -5.680180857758818 ;\n", + "Epoch 890/1000, Cost: 0.8223\n", + " and the parameters are [-3.20159389 4.30955831] -5.680192381839424 ;\n", + "Epoch 890/1000, Cost: 4.4259\n", + " and the parameters are [-3.2016889 4.30956345] -5.680154780044081 ;\n", + "Epoch 890/1000, Cost: 1.0421\n", + " and the parameters are [-3.20168973 4.30959858] -5.68015084956679 ;\n", + "Epoch 890/1000, Cost: 2.1723\n", + " and the parameters are [-3.20171278 4.30960014] -5.680163352202743 ;\n", + "Epoch 890/1000, Cost: 2.2768\n", + " and the parameters are [-3.20171314 4.30957492] -5.68019805849268 ;\n", + "Epoch 890/1000, Cost: 2.2527\n", + " and the parameters are [-3.2017022 4.30965646] -5.6801632419310755 ;\n", + "Epoch 890/1000, Cost: 2.1425\n", + " and the parameters are [-3.20160883 4.30975019] -5.680168245477482 ;\n", + "Epoch 890/1000, Cost: 3.2826\n", + " and the parameters are [-3.20150841 4.30975208] -5.680237330795693 ;\n", + "Epoch 890/1000, Cost: 2.6695\n", + " and the parameters are [-3.20149171 4.30973154] -5.680295304461901 ;\n", + "Epoch 890/1000, Cost: 4.9990\n", + " and the parameters are [-3.20152778 4.30969516] -5.680300695395745 ;\n", + "Epoch 890/1000, Cost: 5.0463\n", + " and the parameters are [-3.2014528 4.30969975] -5.680364497746857 ;\n", + "Epoch 890/1000, Cost: 3.5534\n", + " and the parameters are [-3.20142261 4.30973828] -5.680360688472576 ;\n", + "Epoch 890/1000, Cost: 0.8502\n", + " and the parameters are [-3.2014306 4.30973822] -5.680373207039137 ;\n", + "Epoch 890/1000, Cost: 4.0000\n", + " and the parameters are [-3.20139398 4.30986486] -5.6803202844426375 ;\n", + "Epoch 890/1000, Cost: 2.7426\n", + " and the parameters are [-3.2015141 4.30969878] -5.680398055802974 ;\n", + "Epoch 890/1000, Cost: 3.4695\n", + " and the parameters are [-3.20151433 4.3098106 ] -5.680322760449132 ;\n", + "Epoch 890/1000, Cost: 3.0916\n", + " and the parameters are [-3.20157457 4.30970519] -5.6803955342803 ;\n", + "Epoch 890/1000, Cost: 2.5508\n", + " and the parameters are [-3.20155603 4.30984327] -5.680316478333343 ;\n", + "Epoch 890/1000, Cost: 3.8350\n", + " and the parameters are [-3.20154589 4.30993478] -5.6802562540805726 ;\n", + "Epoch 890/1000, Cost: 3.9261\n", + " and the parameters are [-3.20156905 4.30978885] -5.680364336445948 ;\n", + "Epoch 890/1000, Cost: 12.7793\n", + " and the parameters are [-3.20155778 4.30956494] -5.68046853177613 ;\n", + "Epoch 890/1000, Cost: 1.5425\n", + " and the parameters are [-3.20157493 4.30953388] -5.680504643182962 ;\n", + "Epoch 890/1000, Cost: 1.9292\n", + " and the parameters are [-3.20161573 4.30961585] -5.68043702331273 ;\n", + "Epoch 890/1000, Cost: 7.3843\n", + " and the parameters are [-3.20145568 4.30956361] -5.680548531549812 ;\n", + "Epoch 890/1000, Cost: 3.4033\n", + " and the parameters are [-3.20143075 4.30964283] -5.680518074816176 ;\n", + "Epoch 890/1000, Cost: 6.7199\n", + " and the parameters are [-3.20148622 4.30960371] -5.680505270367194 ;\n", + "Epoch 890/1000, Cost: 1.4791\n", + " and the parameters are [-3.20145954 4.30967959] -5.680490245489662 ;\n", + "Epoch 890/1000, Cost: 3.0584\n", + " and the parameters are [-3.20147173 4.30970761] -5.680487708761059 ;\n", + "Epoch 890/1000, Cost: 1.7549\n", + " and the parameters are [-3.2014547 4.30969609] -5.680527236530309 ;\n", + "Epoch 890/1000, Cost: 6.6310\n", + " and the parameters are [-3.2015389 4.30972765] -5.680439774660156 ;\n", + "Epoch 890/1000, Cost: 1.5536\n", + " and the parameters are [-3.20154202 4.30982961] -5.680384871691084 ;\n", + "Epoch 890/1000, Cost: 2.0972\n", + " and the parameters are [-3.20151452 4.30993509] -5.680339693634466 ;\n", + "Epoch 890/1000, Cost: 1.7104\n", + " and the parameters are [-3.20152902 4.30988623] -5.680393829914021 ;\n", + "Epoch 890/1000, Cost: 2.1788\n", + " and the parameters are [-3.2015205 4.30986169] -5.680443948659242 ;\n", + "Epoch 890/1000, Cost: 6.0754\n", + " and the parameters are [-3.20156396 4.30974602] -5.680510913957897 ;\n", + "Epoch 890/1000, Cost: 2.9925\n", + " and the parameters are [-3.20160295 4.30977645] -5.68047468629678 ;\n", + "Epoch 890/1000, Cost: 1.2496\n", + " and the parameters are [-3.20158758 4.30981033] -5.680477029863571 ;\n", + "Epoch 890/1000, Cost: 1.8622\n", + " and the parameters are [-3.20157176 4.30980356] -5.6805096802746 ;\n", + "Epoch 890/1000, Cost: 1.1964\n", + " and the parameters are [-3.20154708 4.30986782] -5.680491661327216 ;\n", + "Epoch 890/1000, Cost: 2.8868\n", + " and the parameters are [-3.20164755 4.30981014] -5.680498967447376 ;\n", + "Epoch 890/1000, Cost: 4.2824\n", + " and the parameters are [-3.20167094 4.30972043] -5.680558305002096 ;\n", + "Epoch 890/1000, Cost: 3.9510\n", + " and the parameters are [-3.2016215 4.3098089] -5.680532736521736 ;\n", + "Epoch 890/1000, Cost: 5.3815\n", + " and the parameters are [-3.2015845 4.30992974] -5.680453588452818 ;\n", + "Epoch 890/1000, Cost: 5.3788\n", + " and the parameters are [-3.20166869 4.30986531] -5.680454699779634 ;\n", + "Epoch 890/1000, Cost: 2.2704\n", + " and the parameters are [-3.20173363 4.30987313] -5.680431413906318 ;\n", + "Epoch 890/1000, Cost: 1.8100\n", + " and the parameters are [-3.20171974 4.30989168] -5.68044947815703 ;\n", + "Epoch 890/1000, Cost: 4.1088\n", + " and the parameters are [-3.20180086 4.30980436] -5.6804771439667965 ;\n", + "Epoch 890/1000, Cost: 1.6001\n", + " and the parameters are [-3.2017998 4.30983819] -5.68047246788267 ;\n", + "Epoch 890/1000, Cost: 3.2761\n", + " and the parameters are [-3.20179829 4.30988393] -5.680436928721254 ;\n", + "Epoch 890/1000, Cost: 1.5380\n", + " and the parameters are [-3.20182501 4.30988842] -5.680434773787792 ;\n", + "Epoch 890/1000, Cost: 1.6385\n", + " and the parameters are [-3.20184545 4.30989626] -5.680442976715296 ;\n", + "Epoch 890/1000, Cost: 1.8045\n", + " and the parameters are [-3.20192758 4.30987328] -5.680432110288603 ;\n", + "Epoch 890/1000, Cost: 2.1749\n", + " and the parameters are [-3.20188581 4.30995211] -5.680416222777221 ;\n", + "Epoch 890/1000, Cost: 1.6951\n", + " and the parameters are [-3.20186506 4.30996475] -5.680432943606778 ;\n", + "Epoch 890/1000, Cost: 1.3415\n", + " and the parameters are [-3.2018544 4.30999703] -5.680440775544273 ;\n", + "Epoch 890/1000, Cost: 3.4227\n", + " and the parameters are [-3.20191509 4.30999677] -5.6804317986443476 ;\n", + "Epoch 890/1000, Cost: 4.2026\n", + " and the parameters are [-3.20197045 4.3099029 ] -5.6804795206888254 ;\n", + "Epoch 890/1000, Cost: 1.9227\n", + " and the parameters are [-3.20192077 4.31003517] -5.680424929591567 ;\n", + "Epoch 890/1000, Cost: 3.8580\n", + " and the parameters are [-3.20186277 4.31002624] -5.680479288895986 ;\n", + "Epoch 890/1000, Cost: 1.9469\n", + " and the parameters are [-3.20184918 4.31000433] -5.680533446517505 ;\n", + "Epoch 890/1000, Cost: 4.8316\n", + " and the parameters are [-3.20185593 4.30992915] -5.680610540996378 ;\n", + "Epoch 890/1000, Cost: 2.4960\n", + " and the parameters are [-3.20189663 4.30988664] -5.6806410327944405 ;\n", + "Epoch 890/1000, Cost: 1.7642\n", + " and the parameters are [-3.20193082 4.30980112] -5.680709769023339 ;\n", + "Epoch 890/1000, Cost: 1.5019\n", + " and the parameters are [-3.20196717 4.30983418] -5.680690430348961 ;\n", + "Epoch 890/1000, Cost: 4.3228\n", + " and the parameters are [-3.20191683 4.30984709] -5.680706646433293 ;\n", + "Epoch 890/1000, Cost: 3.9173\n", + " and the parameters are [-3.20192062 4.30983186] -5.680727252557724 ;\n", + "Epoch 890/1000, Cost: 0.6286\n", + " and the parameters are [-3.20193297 4.30981385] -5.680747274261946 ;\n", + "Epoch 890/1000, Cost: 3.9787\n", + " and the parameters are [-3.20188343 4.30971878] -5.680849281527198 ;\n", + "Epoch 890/1000, Cost: 2.1171\n", + " and the parameters are [-3.20190623 4.30967596] -5.68089347931987 ;\n", + "Epoch 890/1000, Cost: 2.2658\n", + " and the parameters are [-3.20188909 4.30969103] -5.680918226294616 ;\n", + "Epoch 890/1000, Cost: 5.4563\n", + " and the parameters are [-3.20185436 4.30959232] -5.681007791058525 ;\n", + "Epoch 890/1000, Cost: 11.6053\n", + " and the parameters are [-3.2019363 4.3097009] -5.6808294448470065 ;\n", + "Epoch 890/1000, Cost: 0.9282\n", + " and the parameters are [-3.20198596 4.30969564] -5.680824828687745 ;\n", + "Epoch 890/1000, Cost: 2.8405\n", + " and the parameters are [-3.20202324 4.30971267] -5.680809753932758 ;\n", + "Epoch 890/1000, Cost: 1.7967\n", + " and the parameters are [-3.20205856 4.30973334] -5.680806094442733 ;\n", + "Epoch 890/1000, Cost: 6.4524\n", + " and the parameters are [-3.20205172 4.30981684] -5.680734411078132 ;\n", + "Epoch 890/1000, Cost: 2.9376\n", + " and the parameters are [-3.20208888 4.30974502] -5.680778792199562 ;\n", + "Epoch 890/1000, Cost: 1.7404\n", + " and the parameters are [-3.20207747 4.3097576 ] -5.680795938469347 ;\n", + "Epoch 890/1000, Cost: 1.0846\n", + " and the parameters are [-3.20207938 4.30977394] -5.680801127050439 ;\n", + "Epoch 890/1000, Cost: 3.7199\n", + " and the parameters are [-3.20198743 4.3098185 ] -5.680832468982878 ;\n", + "Epoch 890/1000, Cost: 5.0427\n", + " and the parameters are [-3.20194494 4.30982674] -5.680862670973409 ;\n", + "Epoch 890/1000, Cost: 3.3121\n", + " and the parameters are [-3.20200092 4.30975886] -5.680898996853502 ;\n", + "Epoch 890/1000, Cost: 1.5498\n", + " and the parameters are [-3.201985 4.30980678] -5.680897940010702 ;\n", + "Epoch 890/1000, Cost: 1.5714\n", + " and the parameters are [-3.2019736 4.30981222] -5.680922855004 ;\n", + "Epoch 890/1000, Cost: 0.9311\n", + " and the parameters are [-3.20196871 4.30981607] -5.680940809433357 ;\n", + "Epoch 890/1000, Cost: 0.5837\n", + " and the parameters are [-3.20197548 4.30982725] -5.680944097324003 ;\n", + "Epoch 890/1000, Cost: 3.2977\n", + " and the parameters are [-3.20198183 4.30982061] -5.680971450567868 ;\n", + "Epoch 890/1000, Cost: 3.0999\n", + " and the parameters are [-3.20198415 4.3097934 ] -5.6810013407150155 ;\n", + "Epoch 890/1000, Cost: 3.9602\n", + " and the parameters are [-3.20194059 4.30982517] -5.681018815564396 ;\n", + "Epoch 890/1000, Cost: 1.0234\n", + " and the parameters are [-3.20194101 4.30988349] -5.680993542565105 ;\n", + "Epoch 890/1000, Cost: 0.3589\n", + " and the parameters are [-3.20193835 4.30990696] -5.68098954813544 ;\n", + "Epoch 890/1000, Cost: 1.7883\n", + " and the parameters are [-3.20194522 4.30990736] -5.6810136151430095 ;\n", + "Epoch 890/1000, Cost: 3.6142\n", + " and the parameters are [-3.20192175 4.30990891] -5.681033041010114 ;\n", + "Epoch 890/1000, Cost: 4.3617\n", + " and the parameters are [-3.20196945 4.30986202] -5.6810712928996425 ;\n", + "Epoch 890/1000, Cost: 1.8272\n", + " and the parameters are [-3.20198695 4.30982507] -5.681111389954258 ;\n", + "Epoch 890/1000, Cost: 5.1280\n", + " and the parameters are [-3.20195241 4.309766 ] -5.6811760555822515 ;\n", + "Epoch 890/1000, Cost: 1.9819\n", + " and the parameters are [-3.20195287 4.3097177 ] -5.681218166854638 ;\n", + "Epoch 890/1000, Cost: 2.4171\n", + " and the parameters are [-3.20202602 4.30968124] -5.681226491330054 ;\n", + "Epoch 890/1000, Cost: 2.0947\n", + " and the parameters are [-3.20203567 4.30972492] -5.681219213228567 ;\n", + "Epoch 890/1000, Cost: 3.9778\n", + " and the parameters are [-3.20208974 4.30974818] -5.681181753082958 ;\n", + "Epoch 890/1000, Cost: 2.4018\n", + " and the parameters are [-3.20201934 4.30984129] -5.681171091965289 ;\n", + "Epoch 890/1000, Cost: 2.7034\n", + " and the parameters are [-3.20200183 4.30995542] -5.681118920300999 ;\n", + "Epoch 890/1000, Cost: 3.7492\n", + " and the parameters are [-3.20204814 4.3098018 ] -5.6812226544446425 ;\n", + "Epoch 890/1000, Cost: 2.6134\n", + " and the parameters are [-3.202082 4.30981863] -5.681211641671049 ;\n", + "Epoch 890/1000, Cost: 3.6058\n", + " and the parameters are [-3.20205672 4.30981542] -5.681246469944781 ;\n", + "Epoch 890/1000, Cost: 4.3265\n", + " and the parameters are [-3.20204263 4.30985952] -5.681230629077058 ;\n", + "Epoch 890/1000, Cost: 0.9556\n", + " and the parameters are [-3.20206644 4.30983089] -5.681258594065544 ;\n", + "Epoch 890/1000, Cost: 2.4971\n", + " and the parameters are [-3.20210383 4.30986621] -5.6812348238703265 ;\n", + "Epoch 890/1000, Cost: 4.3516\n", + " and the parameters are [-3.20213123 4.30996435] -5.681173161120045 ;\n", + "Epoch 890/1000, Cost: 3.7845\n", + " and the parameters are [-3.20215383 4.3099163 ] -5.681205527655812 ;\n", + "Epoch 890/1000, Cost: 1.4175\n", + " and the parameters are [-3.20217214 4.30995288] -5.681186803701101 ;\n", + "Epoch 890/1000, Cost: 3.4079\n", + " and the parameters are [-3.20220358 4.30999713] -5.681146494378336 ;\n", + "Epoch 890/1000, Cost: 2.2224\n", + " and the parameters are [-3.20223681 4.31003784] -5.6811209520566415 ;\n", + "Epoch 890/1000, Cost: 1.6065\n", + " and the parameters are [-3.2022242 4.31008945] -5.681114000415635 ;\n", + "Epoch 890/1000, Cost: 6.7672\n", + " and the parameters are [-3.20218145 4.31017648] -5.681053097474136 ;\n", + "Epoch 890/1000, Cost: 1.1108\n", + " and the parameters are [-3.20217401 4.3101711 ] -5.681080398695692 ;\n", + "Epoch 890/1000, Cost: 0.6324\n", + " and the parameters are [-3.20216836 4.31019512] -5.6810821634195 ;\n", + "Epoch 890/1000, Cost: 4.0646\n", + " and the parameters are [-3.20215643 4.31029813] -5.681026740346454 ;\n", + "Epoch 900/1000, Cost: 4.7821\n", + " and the parameters are [-3.21031321 4.32035294] -5.69543395307598 ;\n", + "Epoch 900/1000, Cost: 2.6879\n", + " and the parameters are [-3.21029109 4.3203242 ] -5.695492034255603 ;\n", + "Epoch 900/1000, Cost: 2.3298\n", + " and the parameters are [-3.21028955 4.32038515] -5.695467515025371 ;\n", + "Epoch 900/1000, Cost: 1.5968\n", + " and the parameters are [-3.21030611 4.32039748] -5.695473481349674 ;\n", + "Epoch 900/1000, Cost: 1.1407\n", + " and the parameters are [-3.21031143 4.32037084] -5.695505782776085 ;\n", + "Epoch 900/1000, Cost: 1.6135\n", + " and the parameters are [-3.21034139 4.32035404] -5.695527041727687 ;\n", + "Epoch 900/1000, Cost: 2.2282\n", + " and the parameters are [-3.21031182 4.32050862] -5.695446755443033 ;\n", + "Epoch 900/1000, Cost: 2.8403\n", + " and the parameters are [-3.21035963 4.32038995] -5.695527460447934 ;\n", + "Epoch 900/1000, Cost: 4.1301\n", + " and the parameters are [-3.21032948 4.32040548] -5.6955596427039605 ;\n", + "Epoch 900/1000, Cost: 0.8255\n", + " and the parameters are [-3.21034798 4.32042902] -5.695549793640752 ;\n", + "Epoch 900/1000, Cost: 5.1111\n", + " and the parameters are [-3.21022441 4.32045229] -5.6956066237206855 ;\n", + "Epoch 900/1000, Cost: 4.0201\n", + " and the parameters are [-3.21029919 4.32039409] -5.695621643705248 ;\n", + "Epoch 900/1000, Cost: 2.3611\n", + " and the parameters are [-3.21028878 4.32042598] -5.695624968698332 ;\n", + "Epoch 900/1000, Cost: 0.7192\n", + " and the parameters are [-3.21030937 4.32040351] -5.695648958649385 ;\n", + "Epoch 900/1000, Cost: 0.7189\n", + " and the parameters are [-3.21031751 4.3204216 ] -5.695650449171317 ;\n", + "Epoch 900/1000, Cost: 1.8266\n", + " and the parameters are [-3.21032125 4.32045743] -5.695647215636274 ;\n", + "Epoch 900/1000, Cost: 1.4005\n", + " and the parameters are [-3.21032911 4.32044655] -5.695679698699397 ;\n", + "Epoch 900/1000, Cost: 3.8242\n", + " and the parameters are [-3.21032333 4.32047489] -5.695669417748153 ;\n", + "Epoch 900/1000, Cost: 2.5852\n", + " and the parameters are [-3.2102706 4.32055562] -5.695652851285842 ;\n", + "Epoch 900/1000, Cost: 1.4859\n", + " and the parameters are [-3.21032177 4.32050534] -5.695681913292317 ;\n", + "Epoch 900/1000, Cost: 3.3379\n", + " and the parameters are [-3.21039062 4.32038223] -5.695753037846327 ;\n", + "Epoch 900/1000, Cost: 1.6095\n", + " and the parameters are [-3.21037435 4.32035194] -5.695806812612772 ;\n", + "Epoch 900/1000, Cost: 2.4238\n", + " and the parameters are [-3.21031851 4.32052211] -5.695733054422647 ;\n", + "Epoch 900/1000, Cost: 1.2912\n", + " and the parameters are [-3.21029908 4.32060405] -5.695699631122582 ;\n", + "Epoch 900/1000, Cost: 1.8733\n", + " and the parameters are [-3.21034237 4.32057332] -5.695715115731686 ;\n", + "Epoch 900/1000, Cost: 3.4443\n", + " and the parameters are [-3.21034376 4.32066 ] -5.695663648591264 ;\n", + "Epoch 900/1000, Cost: 3.3689\n", + " and the parameters are [-3.21043692 4.32052982] -5.695714903582991 ;\n", + "Epoch 900/1000, Cost: 1.7307\n", + " and the parameters are [-3.21048148 4.3205089 ] -5.69572952621174 ;\n", + "Epoch 900/1000, Cost: 2.1123\n", + " and the parameters are [-3.21050918 4.32050794] -5.695736579544562 ;\n", + "Epoch 900/1000, Cost: 2.1807\n", + " and the parameters are [-3.21047065 4.32057519] -5.6957287111201484 ;\n", + "Epoch 900/1000, Cost: 1.9140\n", + " and the parameters are [-3.21046602 4.32052162] -5.695787297393061 ;\n", + "Epoch 900/1000, Cost: 0.4697\n", + " and the parameters are [-3.2104606 4.32055877] -5.695774456673701 ;\n", + "Epoch 900/1000, Cost: 2.6563\n", + " and the parameters are [-3.21050129 4.3206316 ] -5.695712346094618 ;\n", + "Epoch 900/1000, Cost: 4.2055\n", + " and the parameters are [-3.2104834 4.32066166] -5.695716509500278 ;\n", + "Epoch 900/1000, Cost: 1.3885\n", + " and the parameters are [-3.21047583 4.32064729] -5.695756417503134 ;\n", + "Epoch 900/1000, Cost: 5.0758\n", + " and the parameters are [-3.21046168 4.32052243] -5.695859719831118 ;\n", + "Epoch 900/1000, Cost: 5.5276\n", + " and the parameters are [-3.21055864 4.3204577 ] -5.695872759108553 ;\n", + "Epoch 900/1000, Cost: 2.2043\n", + " and the parameters are [-3.21055314 4.32054874] -5.69583691629655 ;\n", + "Epoch 900/1000, Cost: 2.1362\n", + " and the parameters are [-3.21049197 4.32061112] -5.695844691780537 ;\n", + "Epoch 900/1000, Cost: 1.7444\n", + " and the parameters are [-3.21045654 4.32061255] -5.695890202936538 ;\n", + "Epoch 900/1000, Cost: 1.5245\n", + " and the parameters are [-3.21047041 4.32065055] -5.69587051300925 ;\n", + "Epoch 900/1000, Cost: 1.2795\n", + " and the parameters are [-3.21047732 4.32062752] -5.695906951961624 ;\n", + "Epoch 900/1000, Cost: 4.9138\n", + " and the parameters are [-3.21047627 4.32046536] -5.696040469027014 ;\n", + "Epoch 900/1000, Cost: 1.4105\n", + " and the parameters are [-3.21047493 4.32053421] -5.6960146000623615 ;\n", + "Epoch 900/1000, Cost: 1.8944\n", + " and the parameters are [-3.21050494 4.32046369] -5.696075992538159 ;\n", + "Epoch 900/1000, Cost: 2.4001\n", + " and the parameters are [-3.21059854 4.32046124] -5.696042022208699 ;\n", + "Epoch 900/1000, Cost: 3.9506\n", + " and the parameters are [-3.21058519 4.32047211] -5.696057048120593 ;\n", + "Epoch 900/1000, Cost: 3.4873\n", + " and the parameters are [-3.21060189 4.32046041] -5.69608528370162 ;\n", + "Epoch 900/1000, Cost: 0.7216\n", + " and the parameters are [-3.21059258 4.32052602] -5.6960576366446185 ;\n", + "Epoch 900/1000, Cost: 1.2293\n", + " and the parameters are [-3.21061709 4.32056662] -5.696028856906833 ;\n", + "Epoch 900/1000, Cost: 1.8715\n", + " and the parameters are [-3.21055763 4.32059687] -5.696067428041834 ;\n", + "Epoch 900/1000, Cost: 3.1089\n", + " and the parameters are [-3.21058941 4.32051614] -5.696126270163545 ;\n", + "Epoch 900/1000, Cost: 3.2839\n", + " and the parameters are [-3.21061219 4.32052987] -5.696116965080506 ;\n", + "Epoch 900/1000, Cost: 2.1778\n", + " and the parameters are [-3.21067075 4.32053358] -5.696103272425534 ;\n", + "Epoch 900/1000, Cost: 2.2285\n", + " and the parameters are [-3.21064676 4.32059095] -5.696093145453881 ;\n", + "Epoch 900/1000, Cost: 1.4879\n", + " and the parameters are [-3.21066419 4.32058773] -5.696109860350335 ;\n", + "Epoch 900/1000, Cost: 3.9631\n", + " and the parameters are [-3.21066183 4.32056283] -5.696148456724264 ;\n", + "Epoch 900/1000, Cost: 4.7774\n", + " and the parameters are [-3.21075237 4.32042355] -5.696203888640222 ;\n", + "Epoch 900/1000, Cost: 3.6276\n", + " and the parameters are [-3.21070687 4.32039365] -5.696266802583818 ;\n", + "Epoch 900/1000, Cost: 4.9183\n", + " and the parameters are [-3.21065558 4.32037043] -5.69632293282589 ;\n", + "Epoch 900/1000, Cost: 2.4664\n", + " and the parameters are [-3.21059511 4.32044991] -5.696311037782452 ;\n", + "Epoch 900/1000, Cost: 1.3438\n", + " and the parameters are [-3.2106177 4.32045356] -5.696320951351431 ;\n", + "Epoch 900/1000, Cost: 0.6888\n", + " and the parameters are [-3.21062251 4.32047658] -5.696315011995486 ;\n", + "Epoch 900/1000, Cost: 1.0029\n", + " and the parameters are [-3.21063541 4.32049529] -5.6963157931317445 ;\n", + "Epoch 900/1000, Cost: 4.4831\n", + " and the parameters are [-3.21063771 4.32056305] -5.6962795061087235 ;\n", + "Epoch 900/1000, Cost: 4.8113\n", + " and the parameters are [-3.21064428 4.32053743] -5.696299385756896 ;\n", + "Epoch 900/1000, Cost: 5.4565\n", + " and the parameters are [-3.21058964 4.32066144] -5.696246095044178 ;\n", + "Epoch 900/1000, Cost: 5.3238\n", + " and the parameters are [-3.21063182 4.32050587] -5.696340085124686 ;\n", + "Epoch 900/1000, Cost: 1.6985\n", + " and the parameters are [-3.21065472 4.32045532] -5.696382141080206 ;\n", + "Epoch 900/1000, Cost: 2.7940\n", + " and the parameters are [-3.21061343 4.32040818] -5.6964535488029675 ;\n", + "Epoch 900/1000, Cost: 2.0951\n", + " and the parameters are [-3.21063427 4.32041374] -5.6964677498335705 ;\n", + "Epoch 900/1000, Cost: 2.4223\n", + " and the parameters are [-3.21066121 4.32044347] -5.696456138088774 ;\n", + "Epoch 900/1000, Cost: 3.5146\n", + " and the parameters are [-3.21068342 4.32045485] -5.6964422739397165 ;\n", + "Epoch 900/1000, Cost: 1.4938\n", + " and the parameters are [-3.21070065 4.32049885] -5.696425077739989 ;\n", + "Epoch 900/1000, Cost: 5.0537\n", + " and the parameters are [-3.21058338 4.32049185] -5.696496640014986 ;\n", + "Epoch 900/1000, Cost: 3.1410\n", + " and the parameters are [-3.21057481 4.32044045] -5.696557473128807 ;\n", + "Epoch 900/1000, Cost: 2.2955\n", + " and the parameters are [-3.21057902 4.32038347] -5.69660171985198 ;\n", + "Epoch 900/1000, Cost: 1.5857\n", + " and the parameters are [-3.2105816 4.32036701] -5.696636013055968 ;\n", + "Epoch 900/1000, Cost: 4.9691\n", + " and the parameters are [-3.21051937 4.32046501] -5.696598695557869 ;\n", + "Epoch 900/1000, Cost: 5.2440\n", + " and the parameters are [-3.21053067 4.32049836] -5.6965608962601975 ;\n", + "Epoch 900/1000, Cost: 5.4034\n", + " and the parameters are [-3.21049536 4.32047896] -5.696585952529316 ;\n", + "Epoch 900/1000, Cost: 4.1975\n", + " and the parameters are [-3.21047468 4.32059063] -5.696538975876739 ;\n", + "Epoch 900/1000, Cost: 1.7360\n", + " and the parameters are [-3.21049598 4.32066294] -5.696500081603466 ;\n", + "Epoch 900/1000, Cost: 2.1967\n", + " and the parameters are [-3.21052642 4.3206056 ] -5.6965499013520455 ;\n", + "Epoch 900/1000, Cost: 3.3994\n", + " and the parameters are [-3.21054919 4.32066513] -5.696513576929455 ;\n", + "Epoch 900/1000, Cost: 4.9968\n", + " and the parameters are [-3.21051616 4.32062993] -5.696548984575269 ;\n", + "Epoch 900/1000, Cost: 1.6550\n", + " and the parameters are [-3.21048355 4.32067449] -5.69656125676104 ;\n", + "Epoch 900/1000, Cost: 1.5115\n", + " and the parameters are [-3.21045577 4.32073769] -5.696548875693873 ;\n", + "Epoch 900/1000, Cost: 1.0668\n", + " and the parameters are [-3.21044817 4.32076917] -5.69654777669241 ;\n", + "Epoch 900/1000, Cost: 1.1092\n", + " and the parameters are [-3.21043232 4.32082897] -5.696529944321616 ;\n", + "Epoch 900/1000, Cost: 2.4313\n", + " and the parameters are [-3.21039449 4.32080913] -5.696585053994637 ;\n", + "Epoch 900/1000, Cost: 2.0132\n", + " and the parameters are [-3.21038168 4.32091566] -5.696537253613957 ;\n", + "Epoch 900/1000, Cost: 1.5249\n", + " and the parameters are [-3.21039039 4.32087716] -5.696580753215862 ;\n", + "Epoch 900/1000, Cost: 4.0926\n", + " and the parameters are [-3.21044103 4.32089348] -5.696557096513311 ;\n", + "Epoch 900/1000, Cost: 1.6417\n", + " and the parameters are [-3.21043135 4.32094971] -5.696545280171522 ;\n", + "Epoch 900/1000, Cost: 1.8317\n", + " and the parameters are [-3.21047197 4.32086833] -5.696588815412661 ;\n", + "Epoch 900/1000, Cost: 1.3882\n", + " and the parameters are [-3.21045832 4.32093437] -5.696566720373179 ;\n", + "Epoch 900/1000, Cost: 0.8986\n", + " and the parameters are [-3.21046842 4.32095703] -5.696565959348102 ;\n", + "Epoch 900/1000, Cost: 3.8046\n", + " and the parameters are [-3.21043165 4.32096451] -5.696594516510355 ;\n", + "Epoch 900/1000, Cost: 4.6603\n", + " and the parameters are [-3.21046712 4.32093566] -5.696614167878801 ;\n", + "Epoch 900/1000, Cost: 1.7813\n", + " and the parameters are [-3.21044075 4.3210578 ] -5.696557044594368 ;\n", + "Epoch 900/1000, Cost: 4.4479\n", + " and the parameters are [-3.21042433 4.32124012] -5.696432913099931 ;\n", + "Epoch 900/1000, Cost: 1.6673\n", + " and the parameters are [-3.21042799 4.32128595] -5.6964202312369885 ;\n", + "Epoch 900/1000, Cost: 1.5158\n", + " and the parameters are [-3.21042596 4.32133911] -5.696410019432732 ;\n", + "Epoch 900/1000, Cost: 2.5406\n", + " and the parameters are [-3.21048864 4.32132965] -5.696400764258829 ;\n", + "Epoch 900/1000, Cost: 1.4929\n", + " and the parameters are [-3.21049906 4.32127225] -5.696451603767239 ;\n", + "Epoch 900/1000, Cost: 2.3620\n", + " and the parameters are [-3.21049683 4.32118709] -5.696541413419169 ;\n", + "Epoch 900/1000, Cost: 1.8203\n", + " and the parameters are [-3.21051885 4.32114665] -5.6965801733540165 ;\n", + "Epoch 900/1000, Cost: 3.8082\n", + " and the parameters are [-3.21052198 4.32115625] -5.696574291266086 ;\n", + "Epoch 900/1000, Cost: 6.2533\n", + " and the parameters are [-3.21052197 4.32104712] -5.696645434411354 ;\n", + "Epoch 900/1000, Cost: 3.6564\n", + " and the parameters are [-3.21048828 4.3210208 ] -5.696716317726008 ;\n", + "Epoch 900/1000, Cost: 2.7873\n", + " and the parameters are [-3.21043866 4.3211364 ] -5.6966716191795586 ;\n", + "Epoch 900/1000, Cost: 4.1875\n", + " and the parameters are [-3.21048712 4.32117666] -5.696609284087359 ;\n", + "Epoch 900/1000, Cost: 0.9279\n", + " and the parameters are [-3.21052459 4.32113319] -5.696639408008033 ;\n", + "Epoch 900/1000, Cost: 1.6409\n", + " and the parameters are [-3.21050291 4.32116314] -5.696652345034799 ;\n", + "Epoch 900/1000, Cost: 3.5051\n", + " and the parameters are [-3.21049611 4.32122145] -5.696630505171222 ;\n", + "Epoch 900/1000, Cost: 2.3993\n", + " and the parameters are [-3.21051257 4.3212084 ] -5.696661899125152 ;\n", + "Epoch 900/1000, Cost: 7.1884\n", + " and the parameters are [-3.21056005 4.32133024] -5.69652962365129 ;\n", + "Epoch 900/1000, Cost: 2.5690\n", + " and the parameters are [-3.21064503 4.32121818] -5.696580905904151 ;\n", + "Epoch 900/1000, Cost: 6.6220\n", + " and the parameters are [-3.21062849 4.32131924] -5.696521411348794 ;\n", + "Epoch 900/1000, Cost: 1.7221\n", + " and the parameters are [-3.21062863 4.32140998] -5.696472323798278 ;\n", + "Epoch 900/1000, Cost: 9.7065\n", + " and the parameters are [-3.2107353 4.3212227] -5.6965189760939765 ;\n", + "Epoch 900/1000, Cost: 3.8284\n", + " and the parameters are [-3.21075293 4.32140088] -5.696395225042035 ;\n", + "Epoch 900/1000, Cost: 1.8614\n", + " and the parameters are [-3.21080064 4.321438 ] -5.696371634854618 ;\n", + "Epoch 900/1000, Cost: 3.6859\n", + " and the parameters are [-3.21075368 4.32143809] -5.696410484884492 ;\n", + "Epoch 900/1000, Cost: 2.0973\n", + " and the parameters are [-3.2107212 4.32147369] -5.696424003096137 ;\n", + "Epoch 900/1000, Cost: 3.6303\n", + " and the parameters are [-3.21076789 4.32129966] -5.6965362902949614 ;\n", + "Epoch 900/1000, Cost: 1.1157\n", + " and the parameters are [-3.2107328 4.32135592] -5.696529037769274 ;\n", + "Epoch 900/1000, Cost: 3.3722\n", + " and the parameters are [-3.21076909 4.3213307 ] -5.696536716652233 ;\n", + "Epoch 900/1000, Cost: 5.3594\n", + " and the parameters are [-3.21079545 4.32136934] -5.696494383615304 ;\n", + "Epoch 900/1000, Cost: 5.4799\n", + " and the parameters are [-3.21065535 4.32149096] -5.696477666407807 ;\n", + "Epoch 900/1000, Cost: 1.3132\n", + " and the parameters are [-3.21064642 4.32148592] -5.6965051136173175 ;\n", + "Epoch 900/1000, Cost: 4.7677\n", + " and the parameters are [-3.21068079 4.32136488] -5.696575023287851 ;\n", + "Epoch 900/1000, Cost: 4.5243\n", + " and the parameters are [-3.21069484 4.32133364] -5.696590040459516 ;\n", + "Epoch 900/1000, Cost: 3.3748\n", + " and the parameters are [-3.21071695 4.32125107] -5.696647040799975 ;\n", + "Epoch 900/1000, Cost: 3.6798\n", + " and the parameters are [-3.21080714 4.32110715] -5.6967275463983515 ;\n", + "Epoch 900/1000, Cost: 2.2692\n", + " and the parameters are [-3.21083063 4.32106115] -5.696770948140973 ;\n", + "Epoch 900/1000, Cost: 3.9661\n", + " and the parameters are [-3.21085762 4.32112827] -5.6967232729956025 ;\n", + "Epoch 900/1000, Cost: 1.9238\n", + " and the parameters are [-3.21091023 4.32107317] -5.696759271415803 ;\n", + "Epoch 900/1000, Cost: 2.2925\n", + " and the parameters are [-3.21091805 4.32110415] -5.696749383614188 ;\n", + "Epoch 900/1000, Cost: 2.2712\n", + " and the parameters are [-3.21094172 4.32118028] -5.696702554674893 ;\n", + "Epoch 900/1000, Cost: 2.0353\n", + " and the parameters are [-3.21090507 4.32131042] -5.6966604035927695 ;\n", + "Epoch 900/1000, Cost: 3.2322\n", + " and the parameters are [-3.2109276 4.32143734] -5.696568688087336 ;\n", + "Epoch 900/1000, Cost: 6.1407\n", + " and the parameters are [-3.21090417 4.32147701] -5.6965442845496 ;\n", + "Epoch 900/1000, Cost: 3.0434\n", + " and the parameters are [-3.21091467 4.32148779] -5.696556505200134 ;\n", + "Epoch 900/1000, Cost: 2.5959\n", + " and the parameters are [-3.21094769 4.32140818] -5.696607973740353 ;\n", + "Epoch 900/1000, Cost: 1.8140\n", + " and the parameters are [-3.21094589 4.32141322] -5.696632132125713 ;\n", + "Epoch 900/1000, Cost: 2.4133\n", + " and the parameters are [-3.21087155 4.32152424] -5.696612394512653 ;\n", + "Epoch 900/1000, Cost: 6.9696\n", + " and the parameters are [-3.21086135 4.3215434 ] -5.696600974606397 ;\n", + "Epoch 900/1000, Cost: 4.7530\n", + " and the parameters are [-3.21085155 4.32157138] -5.696572129785734 ;\n", + "Epoch 900/1000, Cost: 1.7680\n", + " and the parameters are [-3.21083577 4.32152094] -5.696632136912103 ;\n", + "Epoch 900/1000, Cost: 2.5114\n", + " and the parameters are [-3.21081718 4.32158672] -5.696614436974985 ;\n", + "Epoch 900/1000, Cost: 1.8864\n", + " and the parameters are [-3.21083366 4.3216742 ] -5.6965608833262324 ;\n", + "Epoch 900/1000, Cost: 7.2936\n", + " and the parameters are [-3.21084259 4.32169905] -5.696520015422805 ;\n", + "Epoch 900/1000, Cost: 2.2922\n", + " and the parameters are [-3.2108153 4.3217939] -5.696480706384931 ;\n", + "Epoch 900/1000, Cost: 4.9331\n", + " and the parameters are [-3.21079844 4.32164948] -5.69660668207146 ;\n", + "Epoch 900/1000, Cost: 2.6616\n", + " and the parameters are [-3.21085213 4.32167377] -5.696577760579777 ;\n", + "Epoch 900/1000, Cost: 2.6138\n", + " and the parameters are [-3.21082209 4.32172129] -5.696570309529157 ;\n", + "Epoch 900/1000, Cost: 4.6462\n", + " and the parameters are [-3.21086319 4.32168529] -5.6965895418847285 ;\n", + "Epoch 900/1000, Cost: 2.8147\n", + " and the parameters are [-3.21088856 4.32160588] -5.696646587185823 ;\n", + "Epoch 900/1000, Cost: 2.1297\n", + " and the parameters are [-3.21088452 4.32164594] -5.696649183631638 ;\n", + "Epoch 900/1000, Cost: 5.9078\n", + " and the parameters are [-3.2108276 4.32156721] -5.696728121458109 ;\n", + "Epoch 900/1000, Cost: 7.4840\n", + " and the parameters are [-3.21082302 4.32165896] -5.696626287498788 ;\n", + "Epoch 900/1000, Cost: 1.6378\n", + " and the parameters are [-3.2107659 4.32175217] -5.696612853503504 ;\n", + "Epoch 900/1000, Cost: 4.0280\n", + " and the parameters are [-3.21078167 4.32186895] -5.696523495858754 ;\n", + "Epoch 900/1000, Cost: 4.0791\n", + " and the parameters are [-3.21075483 4.32193496] -5.696514689891257 ;\n", + "Epoch 900/1000, Cost: 5.2117\n", + " and the parameters are [-3.21082822 4.32181481] -5.696570422467054 ;\n", + "Epoch 900/1000, Cost: 2.1065\n", + " and the parameters are [-3.21085807 4.32181569] -5.696575747081701 ;\n", + "Epoch 900/1000, Cost: 1.9149\n", + " and the parameters are [-3.21086863 4.3218103 ] -5.696600676192061 ;\n", + "Epoch 900/1000, Cost: 0.8928\n", + " and the parameters are [-3.21087067 4.3217833 ] -5.696635472825048 ;\n", + "Epoch 900/1000, Cost: 4.4544\n", + " and the parameters are [-3.21089083 4.32167857] -5.696697533722185 ;\n", + "Epoch 900/1000, Cost: 2.3964\n", + " and the parameters are [-3.21088623 4.32178654] -5.696637212935144 ;\n", + "Epoch 900/1000, Cost: 5.1698\n", + " and the parameters are [-3.21094126 4.32163497] -5.696728410233125 ;\n", + "Epoch 900/1000, Cost: 2.3829\n", + " and the parameters are [-3.21098039 4.32168098] -5.696703873631659 ;\n", + "Epoch 900/1000, Cost: 3.4777\n", + " and the parameters are [-3.21094615 4.32171845] -5.696706937559007 ;\n", + "Epoch 900/1000, Cost: 4.0245\n", + " and the parameters are [-3.21095408 4.32176589] -5.696691464450213 ;\n", + "Epoch 900/1000, Cost: 7.4408\n", + " and the parameters are [-3.21089674 4.32181506] -5.696662674763152 ;\n", + "Epoch 900/1000, Cost: 4.9278\n", + " and the parameters are [-3.21084463 4.32181134] -5.6966854727726055 ;\n", + "Epoch 900/1000, Cost: 6.2057\n", + " and the parameters are [-3.2109448 4.3216253] -5.696758385159976 ;\n", + "Epoch 900/1000, Cost: 3.2268\n", + " and the parameters are [-3.21085539 4.32167735] -5.696773169134558 ;\n", + "Epoch 900/1000, Cost: 5.2053\n", + " and the parameters are [-3.21087988 4.32155051] -5.696845542918889 ;\n", + "Epoch 900/1000, Cost: 2.3804\n", + " and the parameters are [-3.21087651 4.32161036] -5.696822008628186 ;\n", + "Epoch 900/1000, Cost: 3.2978\n", + " and the parameters are [-3.210956 4.32146018] -5.696888499199954 ;\n", + "Epoch 900/1000, Cost: 2.1207\n", + " and the parameters are [-3.21097814 4.32139783] -5.696945631730166 ;\n", + "Epoch 900/1000, Cost: 3.4098\n", + " and the parameters are [-3.21094886 4.32141731] -5.696968198292936 ;\n", + "Epoch 900/1000, Cost: 1.9424\n", + " and the parameters are [-3.2109711 4.32146899] -5.696939019468919 ;\n", + "Epoch 900/1000, Cost: 1.4704\n", + " and the parameters are [-3.21100032 4.3214775 ] -5.696939708121022 ;\n", + "Epoch 900/1000, Cost: 2.0849\n", + " and the parameters are [-3.21103114 4.32151289] -5.696928211036778 ;\n", + "Epoch 900/1000, Cost: 3.7588\n", + " and the parameters are [-3.21105087 4.32157514] -5.696874892321343 ;\n", + "Epoch 900/1000, Cost: 2.6938\n", + " and the parameters are [-3.21105412 4.3215239 ] -5.69693107904076 ;\n", + "Epoch 900/1000, Cost: 1.9424\n", + " and the parameters are [-3.2110605 4.32161888] -5.696875691066099 ;\n", + "Epoch 900/1000, Cost: 5.0363\n", + " and the parameters are [-3.21119876 4.32140374] -5.696975214232217 ;\n", + "Epoch 900/1000, Cost: 1.7288\n", + " and the parameters are [-3.21117054 4.32143786] -5.696993120725871 ;\n", + "Epoch 900/1000, Cost: 1.8358\n", + " and the parameters are [-3.21114594 4.32143389] -5.697030178020752 ;\n", + "Epoch 900/1000, Cost: 0.5616\n", + " and the parameters are [-3.21114298 4.32146547] -5.6970229750669406 ;\n", + "Epoch 900/1000, Cost: 1.3978\n", + " and the parameters are [-3.21111986 4.32155789] -5.696983355120883 ;\n", + "Epoch 900/1000, Cost: 1.8293\n", + " and the parameters are [-3.21115519 4.32150322] -5.697018102047705 ;\n", + "Epoch 900/1000, Cost: 4.3297\n", + " and the parameters are [-3.21116285 4.32155435] -5.696983535246786 ;\n", + "Epoch 900/1000, Cost: 2.5611\n", + " and the parameters are [-3.21111745 4.3215641 ] -5.697018391068695 ;\n", + "Epoch 900/1000, Cost: 4.0621\n", + " and the parameters are [-3.21114629 4.32153093] -5.6970235365548865 ;\n", + "Epoch 910/1000, Cost: 0.7995\n", + " and the parameters are [-3.21914928 4.33151452] -5.711300686694608 ;\n", + "Epoch 910/1000, Cost: 5.9682\n", + " and the parameters are [-3.21913388 4.33150107] -5.7113124035320775 ;\n", + "Epoch 910/1000, Cost: 3.0143\n", + " and the parameters are [-3.21917402 4.33159498] -5.711242414127457 ;\n", + "Epoch 910/1000, Cost: 3.3777\n", + " and the parameters are [-3.21918474 4.3316279 ] -5.711227514004185 ;\n", + "Epoch 910/1000, Cost: 1.1919\n", + " and the parameters are [-3.21918645 4.3316085 ] -5.711261736994015 ;\n", + "Epoch 910/1000, Cost: 6.8130\n", + " and the parameters are [-3.2191455 4.33157739] -5.711284474613944 ;\n", + "Epoch 910/1000, Cost: 3.2841\n", + " and the parameters are [-3.21920689 4.33155546] -5.711278688598996 ;\n", + "Epoch 910/1000, Cost: 2.8974\n", + " and the parameters are [-3.21915125 4.33169517] -5.71122526914901 ;\n", + "Epoch 910/1000, Cost: 4.9803\n", + " and the parameters are [-3.21910702 4.33165748] -5.711270139704134 ;\n", + "Epoch 910/1000, Cost: 3.5414\n", + " and the parameters are [-3.2190547 4.3317306] -5.711256295843826 ;\n", + "Epoch 910/1000, Cost: 2.4069\n", + " and the parameters are [-3.21908394 4.33169931] -5.711284862220135 ;\n", + "Epoch 910/1000, Cost: 5.5757\n", + " and the parameters are [-3.21917852 4.33158701] -5.711308849463622 ;\n", + "Epoch 910/1000, Cost: 2.8170\n", + " and the parameters are [-3.21917885 4.33153654] -5.711363011070687 ;\n", + "Epoch 910/1000, Cost: 1.5229\n", + " and the parameters are [-3.21915094 4.33157077] -5.711376895919891 ;\n", + "Epoch 910/1000, Cost: 3.7950\n", + " and the parameters are [-3.2192101 4.33160658] -5.711322111871127 ;\n", + "Epoch 910/1000, Cost: 2.4829\n", + " and the parameters are [-3.21920831 4.33166768] -5.711291731776382 ;\n", + "Epoch 910/1000, Cost: 2.2946\n", + " and the parameters are [-3.21916275 4.33180237] -5.711239756288253 ;\n", + "Epoch 910/1000, Cost: 2.4110\n", + " and the parameters are [-3.21919782 4.33178086] -5.711262732982095 ;\n", + "Epoch 910/1000, Cost: 1.4591\n", + " and the parameters are [-3.21930659 4.33168785] -5.71128805507138 ;\n", + "Epoch 910/1000, Cost: 1.2380\n", + " and the parameters are [-3.21930054 4.33170892] -5.711297593867258 ;\n", + "Epoch 910/1000, Cost: 3.1981\n", + " and the parameters are [-3.21931729 4.33163482] -5.71136417368079 ;\n", + "Epoch 910/1000, Cost: 1.3359\n", + " and the parameters are [-3.21929895 4.3316855 ] -5.711355839020251 ;\n", + "Epoch 910/1000, Cost: 0.7749\n", + " and the parameters are [-3.21930275 4.3317056 ] -5.7113573163012505 ;\n", + "Epoch 910/1000, Cost: 2.8560\n", + " and the parameters are [-3.21933372 4.33157316] -5.711458645737143 ;\n", + "Epoch 910/1000, Cost: 1.5274\n", + " and the parameters are [-3.2193425 4.33161451] -5.711450659592045 ;\n", + "Epoch 910/1000, Cost: 2.4369\n", + " and the parameters are [-3.2193493 4.33165023] -5.71144184751459 ;\n", + "Epoch 910/1000, Cost: 1.4507\n", + " and the parameters are [-3.21935045 4.33167328] -5.711441149352497 ;\n", + "Epoch 910/1000, Cost: 1.2471\n", + " and the parameters are [-3.21935671 4.33168131] -5.711457010049036 ;\n", + "Epoch 910/1000, Cost: 3.1137\n", + " and the parameters are [-3.21934093 4.33167479] -5.7114940266755365 ;\n", + "Epoch 910/1000, Cost: 1.7315\n", + " and the parameters are [-3.21937967 4.33165293] -5.711508807155736 ;\n", + "Epoch 910/1000, Cost: 1.9601\n", + " and the parameters are [-3.21935994 4.33170392] -5.711497662409291 ;\n", + "Epoch 910/1000, Cost: 1.9401\n", + " and the parameters are [-3.21934701 4.33169911] -5.7115319515060285 ;\n", + "Epoch 910/1000, Cost: 2.0964\n", + " and the parameters are [-3.21933721 4.33180916] -5.711477625772983 ;\n", + "Epoch 910/1000, Cost: 1.4740\n", + " and the parameters are [-3.21934343 4.33186304] -5.711462351776329 ;\n", + "Epoch 910/1000, Cost: 1.5356\n", + " and the parameters are [-3.21935814 4.33182412] -5.711507102042185 ;\n", + "Epoch 910/1000, Cost: 0.7901\n", + " and the parameters are [-3.21935581 4.33182526] -5.711525698859675 ;\n", + "Epoch 910/1000, Cost: 4.1598\n", + " and the parameters are [-3.21934007 4.33187637] -5.711507177516019 ;\n", + "Epoch 910/1000, Cost: 5.9732\n", + " and the parameters are [-3.21933658 4.33185904] -5.711510138608785 ;\n", + "Epoch 910/1000, Cost: 7.5792\n", + " and the parameters are [-3.21924471 4.33194434] -5.711465950769508 ;\n", + "Epoch 910/1000, Cost: 1.7474\n", + " and the parameters are [-3.21921999 4.33198001] -5.711476896362346 ;\n", + "Epoch 910/1000, Cost: 1.6149\n", + " and the parameters are [-3.2192377 4.33203616] -5.711450483026496 ;\n", + "Epoch 910/1000, Cost: 4.1878\n", + " and the parameters are [-3.21923953 4.33204304] -5.7114644358288365 ;\n", + "Epoch 910/1000, Cost: 1.3791\n", + " and the parameters are [-3.21926793 4.33201423] -5.711494693718733 ;\n", + "Epoch 910/1000, Cost: 4.9877\n", + " and the parameters are [-3.2192451 4.33213478] -5.711428417788358 ;\n", + "Epoch 910/1000, Cost: 3.3443\n", + " and the parameters are [-3.21925717 4.33218466] -5.71139990767991 ;\n", + "Epoch 910/1000, Cost: 4.6584\n", + " and the parameters are [-3.21926838 4.33210165] -5.711452338858134 ;\n", + "Epoch 910/1000, Cost: 2.5572\n", + " and the parameters are [-3.21928217 4.3321765 ] -5.711412044946709 ;\n", + "Epoch 910/1000, Cost: 2.4083\n", + " and the parameters are [-3.21930455 4.3321381 ] -5.711433146736757 ;\n", + "Epoch 910/1000, Cost: 3.2465\n", + " and the parameters are [-3.2192619 4.33204628] -5.711530655200582 ;\n", + "Epoch 910/1000, Cost: 1.0825\n", + " and the parameters are [-3.21925965 4.33207304] -5.711527786766404 ;\n", + "Epoch 910/1000, Cost: 3.4223\n", + " and the parameters are [-3.21927561 4.33212348] -5.711477654299638 ;\n", + "Epoch 910/1000, Cost: 3.0708\n", + " and the parameters are [-3.21925965 4.33214504] -5.711492445103461 ;\n", + "Epoch 910/1000, Cost: 2.9036\n", + " and the parameters are [-3.21926064 4.33214042] -5.711512433403302 ;\n", + "Epoch 910/1000, Cost: 2.2701\n", + " and the parameters are [-3.21919917 4.33212853] -5.711570034578282 ;\n", + "Epoch 910/1000, Cost: 4.7574\n", + " and the parameters are [-3.21934364 4.33199626] -5.711594339561145 ;\n", + "Epoch 910/1000, Cost: 2.3174\n", + " and the parameters are [-3.21938534 4.33198706] -5.711600055801248 ;\n", + "Epoch 910/1000, Cost: 3.2386\n", + " and the parameters are [-3.2193643 4.33204378] -5.7115684668266065 ;\n", + "Epoch 910/1000, Cost: 1.6901\n", + " and the parameters are [-3.21933894 4.33209866] -5.711563409022176 ;\n", + "Epoch 910/1000, Cost: 1.7737\n", + " and the parameters are [-3.21932315 4.3320924 ] -5.71159211186914 ;\n", + "Epoch 910/1000, Cost: 1.8283\n", + " and the parameters are [-3.2193635 4.33207892] -5.711605613710647 ;\n", + "Epoch 910/1000, Cost: 3.9912\n", + " and the parameters are [-3.21944849 4.33194747] -5.711668326079419 ;\n", + "Epoch 910/1000, Cost: 0.7174\n", + " and the parameters are [-3.21943091 4.33196555] -5.71168386226848 ;\n", + "Epoch 910/1000, Cost: 1.1835\n", + " and the parameters are [-3.21943273 4.33202824] -5.711661494897045 ;\n", + "Epoch 910/1000, Cost: 2.6262\n", + " and the parameters are [-3.2194756 4.33202767] -5.711661614900781 ;\n", + "Epoch 910/1000, Cost: 3.9713\n", + " and the parameters are [-3.21957916 4.33183396] -5.711750484000247 ;\n", + "Epoch 910/1000, Cost: 1.5387\n", + " and the parameters are [-3.21957469 4.33188767] -5.7117367755508655 ;\n", + "Epoch 910/1000, Cost: 2.4955\n", + " and the parameters are [-3.21956565 4.33188304] -5.711770225079235 ;\n", + "Epoch 910/1000, Cost: 5.5460\n", + " and the parameters are [-3.21955524 4.33195073] -5.711733904863415 ;\n", + "Epoch 910/1000, Cost: 4.6028\n", + " and the parameters are [-3.21957477 4.33204305] -5.711668693033418 ;\n", + "Epoch 910/1000, Cost: 3.5816\n", + " and the parameters are [-3.21957885 4.3321273 ] -5.711608043037735 ;\n", + "Epoch 910/1000, Cost: 1.6700\n", + " and the parameters are [-3.2195382 4.33215067] -5.711631731697329 ;\n", + "Epoch 910/1000, Cost: 8.7759\n", + " and the parameters are [-3.21952042 4.33218255] -5.711582040585081 ;\n", + "Epoch 910/1000, Cost: 1.6226\n", + " and the parameters are [-3.2195041 4.33226333] -5.71154986553997 ;\n", + "Epoch 910/1000, Cost: 2.0104\n", + " and the parameters are [-3.21952242 4.33223911] -5.711574729422752 ;\n", + "Epoch 910/1000, Cost: 5.9727\n", + " and the parameters are [-3.21949542 4.33210433] -5.711682404677574 ;\n", + "Epoch 910/1000, Cost: 2.2439\n", + " and the parameters are [-3.21949439 4.33218925] -5.711644766653874 ;\n", + "Epoch 910/1000, Cost: 2.7021\n", + " and the parameters are [-3.21945612 4.33221674] -5.711652662217872 ;\n", + "Epoch 910/1000, Cost: 8.5606\n", + " and the parameters are [-3.21943652 4.33212501] -5.711713363774009 ;\n", + "Epoch 910/1000, Cost: 3.0784\n", + " and the parameters are [-3.21947752 4.33209055] -5.71173631805475 ;\n", + "Epoch 910/1000, Cost: 3.1566\n", + " and the parameters are [-3.21951356 4.33210129] -5.7117318037094424 ;\n", + "Epoch 910/1000, Cost: 4.4820\n", + " and the parameters are [-3.21939525 4.33217474] -5.7117600488067986 ;\n", + "Epoch 910/1000, Cost: 3.3109\n", + " and the parameters are [-3.21938431 4.33213074] -5.711816985655131 ;\n", + "Epoch 910/1000, Cost: 2.9930\n", + " and the parameters are [-3.21934795 4.33226126] -5.711747253104405 ;\n", + "Epoch 910/1000, Cost: 1.9028\n", + " and the parameters are [-3.21941196 4.3322166 ] -5.711769176939107 ;\n", + "Epoch 910/1000, Cost: 2.5569\n", + " and the parameters are [-3.21935033 4.33230091] -5.711770880749129 ;\n", + "Epoch 910/1000, Cost: 3.9446\n", + " and the parameters are [-3.21944288 4.33220053] -5.711812332268894 ;\n", + "Epoch 910/1000, Cost: 0.8936\n", + " and the parameters are [-3.21945689 4.33225493] -5.711783113631462 ;\n", + "Epoch 910/1000, Cost: 1.8239\n", + " and the parameters are [-3.21945892 4.33233505] -5.7117502697082365 ;\n", + "Epoch 910/1000, Cost: 1.6607\n", + " and the parameters are [-3.21945729 4.33232728] -5.711781507401384 ;\n", + "Epoch 910/1000, Cost: 1.5223\n", + " and the parameters are [-3.21943974 4.33236815] -5.71178314996985 ;\n", + "Epoch 910/1000, Cost: 4.3061\n", + " and the parameters are [-3.21944121 4.33226623] -5.711862666915767 ;\n", + "Epoch 910/1000, Cost: 1.4367\n", + " and the parameters are [-3.21939863 4.33234225] -5.711845384369099 ;\n", + "Epoch 910/1000, Cost: 4.1051\n", + " and the parameters are [-3.21933146 4.33237496] -5.711849101080246 ;\n", + "Epoch 910/1000, Cost: 2.1389\n", + " and the parameters are [-3.21927998 4.33247905] -5.711810539051237 ;\n", + "Epoch 910/1000, Cost: 1.7068\n", + " and the parameters are [-3.21930181 4.33243346] -5.711852184987016 ;\n", + "Epoch 910/1000, Cost: 1.7903\n", + " and the parameters are [-3.21930352 4.33241263] -5.711893808330091 ;\n", + "Epoch 910/1000, Cost: 1.5974\n", + " and the parameters are [-3.21933548 4.33240539] -5.711900762768369 ;\n", + "Epoch 910/1000, Cost: 1.4612\n", + " and the parameters are [-3.2193656 4.33241734] -5.711902259629076 ;\n", + "Epoch 910/1000, Cost: 5.5581\n", + " and the parameters are [-3.21938677 4.33245892] -5.7118523967283865 ;\n", + "Epoch 910/1000, Cost: 2.1478\n", + " and the parameters are [-3.21936887 4.33252457] -5.711835034866912 ;\n", + "Epoch 910/1000, Cost: 2.3121\n", + " and the parameters are [-3.21938272 4.33257522] -5.711820527067672 ;\n", + "Epoch 910/1000, Cost: 1.3491\n", + " and the parameters are [-3.21936209 4.33266207] -5.711789485469693 ;\n", + "Epoch 910/1000, Cost: 1.8558\n", + " and the parameters are [-3.21935662 4.33276062] -5.711740353139418 ;\n", + "Epoch 910/1000, Cost: 6.3136\n", + " and the parameters are [-3.21939536 4.33266969] -5.71180812410649 ;\n", + "Epoch 910/1000, Cost: 5.5673\n", + " and the parameters are [-3.21946484 4.33269782] -5.711749065476207 ;\n", + "Epoch 910/1000, Cost: 0.7732\n", + " and the parameters are [-3.21943444 4.33273145] -5.711757860891774 ;\n", + "Epoch 910/1000, Cost: 2.3819\n", + " and the parameters are [-3.21942197 4.33277283] -5.711750153218372 ;\n", + "Epoch 910/1000, Cost: 3.7926\n", + " and the parameters are [-3.21939598 4.33275142] -5.711798210334005 ;\n", + "Epoch 910/1000, Cost: 2.4440\n", + " and the parameters are [-3.21937793 4.33281405] -5.711776090248424 ;\n", + "Epoch 910/1000, Cost: 0.9404\n", + " and the parameters are [-3.21937646 4.33282057] -5.711791654499386 ;\n", + "Epoch 910/1000, Cost: 2.8845\n", + " and the parameters are [-3.21941551 4.33273639] -5.711851084411703 ;\n", + "Epoch 910/1000, Cost: 3.3268\n", + " and the parameters are [-3.21948369 4.33266939] -5.711875357086711 ;\n", + "Epoch 910/1000, Cost: 3.6490\n", + " and the parameters are [-3.21950251 4.33261444] -5.7119332146845085 ;\n", + "Epoch 910/1000, Cost: 5.3308\n", + " and the parameters are [-3.21953466 4.33249702] -5.711998707597202 ;\n", + "Epoch 910/1000, Cost: 2.8922\n", + " and the parameters are [-3.21961682 4.33249059] -5.711982356731635 ;\n", + "Epoch 910/1000, Cost: 6.1785\n", + " and the parameters are [-3.21952812 4.3323736 ] -5.712112597876449 ;\n", + "Epoch 910/1000, Cost: 2.5472\n", + " and the parameters are [-3.21952281 4.33240041] -5.712123028486106 ;\n", + "Epoch 910/1000, Cost: 1.4879\n", + " and the parameters are [-3.21955184 4.33234457] -5.712171323100231 ;\n", + "Epoch 910/1000, Cost: 5.6275\n", + " and the parameters are [-3.2194872 4.33246956] -5.712105441517073 ;\n", + "Epoch 910/1000, Cost: 1.0049\n", + " and the parameters are [-3.21953659 4.33245566] -5.712106756397356 ;\n", + "Epoch 910/1000, Cost: 1.6251\n", + " and the parameters are [-3.21950098 4.33251113] -5.7121123633310384 ;\n", + "Epoch 910/1000, Cost: 2.6805\n", + " and the parameters are [-3.21950692 4.33244741] -5.712166136722992 ;\n", + "Epoch 910/1000, Cost: 2.4229\n", + " and the parameters are [-3.21947802 4.3324019 ] -5.712239440619461 ;\n", + "Epoch 910/1000, Cost: 7.0387\n", + " and the parameters are [-3.21945255 4.33248135] -5.712199403790415 ;\n", + "Epoch 910/1000, Cost: 1.7527\n", + " and the parameters are [-3.21944019 4.33248626] -5.712229016118676 ;\n", + "Epoch 910/1000, Cost: 4.9837\n", + " and the parameters are [-3.21931807 4.33243967] -5.7123242110682595 ;\n", + "Epoch 910/1000, Cost: 7.0440\n", + " and the parameters are [-3.21943033 4.3322125 ] -5.712429685291378 ;\n", + "Epoch 910/1000, Cost: 1.9584\n", + " and the parameters are [-3.21943073 4.33221626] -5.712444926405857 ;\n", + "Epoch 910/1000, Cost: 1.9214\n", + " and the parameters are [-3.21937089 4.33231312] -5.712413802840675 ;\n", + "Epoch 910/1000, Cost: 1.4461\n", + " and the parameters are [-3.21938808 4.33231938] -5.712427423417583 ;\n", + "Epoch 910/1000, Cost: 4.5287\n", + " and the parameters are [-3.21945453 4.33237144] -5.712367794077365 ;\n", + "Epoch 910/1000, Cost: 4.7460\n", + " and the parameters are [-3.21956261 4.33218263] -5.712448737739259 ;\n", + "Epoch 910/1000, Cost: 1.2836\n", + " and the parameters are [-3.2195663 4.33216812] -5.712481360879254 ;\n", + "Epoch 910/1000, Cost: 4.6872\n", + " and the parameters are [-3.21952271 4.33207776] -5.712572095608696 ;\n", + "Epoch 910/1000, Cost: 0.6279\n", + " and the parameters are [-3.21951562 4.33208429] -5.712588631041555 ;\n", + "Epoch 910/1000, Cost: 2.3614\n", + " and the parameters are [-3.21960571 4.33199061] -5.712624981270133 ;\n", + "Epoch 910/1000, Cost: 2.5648\n", + " and the parameters are [-3.2196146 4.3319913] -5.71264334587961 ;\n", + "Epoch 910/1000, Cost: 7.2671\n", + " and the parameters are [-3.21961585 4.33196011] -5.712653438054071 ;\n", + "Epoch 910/1000, Cost: 2.9034\n", + " and the parameters are [-3.21958855 4.33202877] -5.712633962686645 ;\n", + "Epoch 910/1000, Cost: 5.0910\n", + " and the parameters are [-3.21958306 4.33196645] -5.712670753446514 ;\n", + "Epoch 910/1000, Cost: 2.6126\n", + " and the parameters are [-3.21949535 4.33204244] -5.712679719304905 ;\n", + "Epoch 910/1000, Cost: 1.8402\n", + " and the parameters are [-3.21947223 4.33213065] -5.712647556613408 ;\n", + "Epoch 910/1000, Cost: 4.1398\n", + " and the parameters are [-3.21944819 4.33212432] -5.712683532054165 ;\n", + "Epoch 910/1000, Cost: 2.9733\n", + " and the parameters are [-3.219454 4.33210684] -5.712699765212445 ;\n", + "Epoch 910/1000, Cost: 2.0040\n", + " and the parameters are [-3.21946992 4.33215726] -5.712677391725528 ;\n", + "Epoch 910/1000, Cost: 1.9144\n", + " and the parameters are [-3.21946822 4.33217955] -5.712675174661992 ;\n", + "Epoch 910/1000, Cost: 1.9149\n", + " and the parameters are [-3.21943976 4.33226985] -5.7126412578342185 ;\n", + "Epoch 910/1000, Cost: 1.6270\n", + " and the parameters are [-3.21936869 4.33236102] -5.712629821701951 ;\n", + "Epoch 910/1000, Cost: 0.9896\n", + " and the parameters are [-3.21937718 4.33240081] -5.712617274333027 ;\n", + "Epoch 910/1000, Cost: 5.9556\n", + " and the parameters are [-3.21945604 4.33234532] -5.712606710197829 ;\n", + "Epoch 910/1000, Cost: 8.1379\n", + " and the parameters are [-3.21954276 4.33237295] -5.7125212060913 ;\n", + "Epoch 910/1000, Cost: 3.4849\n", + " and the parameters are [-3.21955393 4.3324292 ] -5.712493877951097 ;\n", + "Epoch 910/1000, Cost: 0.9073\n", + " and the parameters are [-3.21955109 4.33247973] -5.712478933588588 ;\n", + "Epoch 910/1000, Cost: 1.8489\n", + " and the parameters are [-3.21957889 4.33254161] -5.71244239734905 ;\n", + "Epoch 910/1000, Cost: 5.3398\n", + " and the parameters are [-3.21956275 4.33262146] -5.71239303425032 ;\n", + "Epoch 910/1000, Cost: 1.6743\n", + " and the parameters are [-3.21958274 4.3326351 ] -5.7123983476596365 ;\n", + "Epoch 910/1000, Cost: 2.0647\n", + " and the parameters are [-3.21962666 4.33260346] -5.71242244147511 ;\n", + "Epoch 910/1000, Cost: 2.6046\n", + " and the parameters are [-3.21961245 4.33263717] -5.712431438291138 ;\n", + "Epoch 910/1000, Cost: 3.1496\n", + " and the parameters are [-3.21957297 4.33263063] -5.7124719232112495 ;\n", + "Epoch 910/1000, Cost: 1.7776\n", + " and the parameters are [-3.21961894 4.33258642] -5.712499698845629 ;\n", + "Epoch 910/1000, Cost: 2.7207\n", + " and the parameters are [-3.21953738 4.33256212] -5.712578537836243 ;\n", + "Epoch 910/1000, Cost: 2.6508\n", + " and the parameters are [-3.2195245 4.33254792] -5.712627780256053 ;\n", + "Epoch 910/1000, Cost: 0.8286\n", + " and the parameters are [-3.21954252 4.33254186] -5.712642140590723 ;\n", + "Epoch 910/1000, Cost: 1.4116\n", + " and the parameters are [-3.21954807 4.33253372] -5.712665049301169 ;\n", + "Epoch 910/1000, Cost: 2.2930\n", + " and the parameters are [-3.21957721 4.33252127] -5.712686220407367 ;\n", + "Epoch 910/1000, Cost: 2.7009\n", + " and the parameters are [-3.21953032 4.33248753] -5.71276291989453 ;\n", + "Epoch 910/1000, Cost: 1.2093\n", + " and the parameters are [-3.21952741 4.33250645] -5.712771797619065 ;\n", + "Epoch 910/1000, Cost: 3.5170\n", + " and the parameters are [-3.21949792 4.3325467 ] -5.712783025559274 ;\n", + "Epoch 910/1000, Cost: 2.1523\n", + " and the parameters are [-3.21949478 4.33254651] -5.712805564364506 ;\n", + "Epoch 910/1000, Cost: 5.9069\n", + " and the parameters are [-3.21959894 4.33250898] -5.71278578457029 ;\n", + "Epoch 910/1000, Cost: 0.7295\n", + " and the parameters are [-3.21958723 4.33254326] -5.712782451274749 ;\n", + "Epoch 910/1000, Cost: 4.4310\n", + " and the parameters are [-3.21956323 4.33256374] -5.7127939860918175 ;\n", + "Epoch 910/1000, Cost: 2.7917\n", + " and the parameters are [-3.2195204 4.3325866] -5.712821427689445 ;\n", + "Epoch 910/1000, Cost: 1.9850\n", + " and the parameters are [-3.21954255 4.33257181] -5.71285130982303 ;\n", + "Epoch 910/1000, Cost: 4.6945\n", + " and the parameters are [-3.2195412 4.33254233] -5.712872581789583 ;\n", + "Epoch 910/1000, Cost: 1.9390\n", + " and the parameters are [-3.2195367 4.33253854] -5.7128986405433775 ;\n", + "Epoch 910/1000, Cost: 2.4603\n", + " and the parameters are [-3.21957834 4.33254647] -5.712901962377883 ;\n", + "Epoch 910/1000, Cost: 2.3644\n", + " and the parameters are [-3.21967072 4.332526 ] -5.712883398206849 ;\n", + "Epoch 910/1000, Cost: 5.1492\n", + " and the parameters are [-3.21970458 4.33244354] -5.712936940930759 ;\n", + "Epoch 910/1000, Cost: 2.2890\n", + " and the parameters are [-3.21968338 4.3324454 ] -5.712971576435413 ;\n", + "Epoch 910/1000, Cost: 6.9961\n", + " and the parameters are [-3.21966419 4.33255427] -5.712872003497992 ;\n", + "Epoch 910/1000, Cost: 6.2357\n", + " and the parameters are [-3.21967101 4.33251657] -5.712896596089046 ;\n", + "Epoch 910/1000, Cost: 1.7915\n", + " and the parameters are [-3.2196555 4.33251881] -5.712929341353512 ;\n", + "Epoch 910/1000, Cost: 0.5614\n", + " and the parameters are [-3.21966587 4.33253387] -5.712927748146292 ;\n", + "Epoch 910/1000, Cost: 4.8362\n", + " and the parameters are [-3.21971151 4.33253958] -5.712916113380957 ;\n", + "Epoch 910/1000, Cost: 0.5466\n", + " and the parameters are [-3.21973227 4.33256213] -5.7129020578130625 ;\n", + "Epoch 910/1000, Cost: 4.3747\n", + " and the parameters are [-3.21969406 4.33251707] -5.712981825303234 ;\n", + "Epoch 910/1000, Cost: 4.0809\n", + " and the parameters are [-3.21972496 4.33251083] -5.71296618866679 ;\n", + "Epoch 910/1000, Cost: 0.7829\n", + " and the parameters are [-3.21971903 4.33254196] -5.712964142279963 ;\n", + "Epoch 910/1000, Cost: 3.4273\n", + " and the parameters are [-3.21982466 4.33245892] -5.7129876059741616 ;\n", + "Epoch 910/1000, Cost: 2.5955\n", + " and the parameters are [-3.21986906 4.33242763] -5.713005372732654 ;\n", + "Epoch 910/1000, Cost: 5.2842\n", + " and the parameters are [-3.21993769 4.33247031] -5.712934873076451 ;\n", + "Epoch 910/1000, Cost: 5.2391\n", + " and the parameters are [-3.22000536 4.33252684] -5.712842878019934 ;\n", + "Epoch 910/1000, Cost: 1.9340\n", + " and the parameters are [-3.22004563 4.33249205] -5.712864471107498 ;\n", + "Epoch 910/1000, Cost: 1.9326\n", + " and the parameters are [-3.22000356 4.33252328] -5.712885129313065 ;\n", + "Epoch 910/1000, Cost: 7.2803\n", + " and the parameters are [-3.21989296 4.33259233] -5.712891431144534 ;\n", + "Epoch 910/1000, Cost: 2.3368\n", + " and the parameters are [-3.21993502 4.33249699] -5.71296002196558 ;\n", + "Epoch 910/1000, Cost: 1.5951\n", + " and the parameters are [-3.21996053 4.33253031] -5.712935498354052 ;\n", + "Epoch 910/1000, Cost: 4.1573\n", + " and the parameters are [-3.22001506 4.33261617] -5.712852870157956 ;\n", + "Epoch 910/1000, Cost: 2.6096\n", + " and the parameters are [-3.22001897 4.33264259] -5.712848997350994 ;\n", + "Epoch 920/1000, Cost: 1.5751\n", + " and the parameters are [-3.2279044 4.34267567] -5.726873218358541 ;\n", + "Epoch 920/1000, Cost: 2.5979\n", + " and the parameters are [-3.22794307 4.34267884] -5.726860648528511 ;\n", + "Epoch 920/1000, Cost: 4.0206\n", + " and the parameters are [-3.22791452 4.34278407] -5.726796849307261 ;\n", + "Epoch 920/1000, Cost: 8.4237\n", + " and the parameters are [-3.22797222 4.34267653] -5.726826568428765 ;\n", + "Epoch 920/1000, Cost: 2.4443\n", + " and the parameters are [-3.22801007 4.34260481] -5.726885951186112 ;\n", + "Epoch 920/1000, Cost: 1.2394\n", + " and the parameters are [-3.22801516 4.34262569] -5.726888223326571 ;\n", + "Epoch 920/1000, Cost: 1.8818\n", + " and the parameters are [-3.22802371 4.34262648] -5.726904520748444 ;\n", + "Epoch 920/1000, Cost: 5.3568\n", + " and the parameters are [-3.22802297 4.34245125] -5.727039298058612 ;\n", + "Epoch 920/1000, Cost: 8.6382\n", + " and the parameters are [-3.22795862 4.34256056] -5.726948675716801 ;\n", + "Epoch 920/1000, Cost: 4.0323\n", + " and the parameters are [-3.22788558 4.34265664] -5.72691801758585 ;\n", + "Epoch 920/1000, Cost: 2.1618\n", + " and the parameters are [-3.22788543 4.34262926] -5.72694909553449 ;\n", + "Epoch 920/1000, Cost: 1.7970\n", + " and the parameters are [-3.22792301 4.34255795] -5.727003293944969 ;\n", + "Epoch 920/1000, Cost: 2.7617\n", + " and the parameters are [-3.22784877 4.34268963] -5.7269590845383345 ;\n", + "Epoch 920/1000, Cost: 2.9506\n", + " and the parameters are [-3.22789548 4.34260406] -5.727019866377085 ;\n", + "Epoch 920/1000, Cost: 1.5352\n", + " and the parameters are [-3.22790966 4.34268426] -5.726974153300806 ;\n", + "Epoch 920/1000, Cost: 0.8794\n", + " and the parameters are [-3.22791968 4.34267464] -5.726995766937837 ;\n", + "Epoch 920/1000, Cost: 3.2515\n", + " and the parameters are [-3.22788671 4.34265686] -5.7270248385473845 ;\n", + "Epoch 920/1000, Cost: 6.1633\n", + " and the parameters are [-3.22791316 4.3425993 ] -5.7270785838386455 ;\n", + "Epoch 920/1000, Cost: 6.1943\n", + " and the parameters are [-3.22784038 4.34265439] -5.727075947939394 ;\n", + "Epoch 920/1000, Cost: 0.6836\n", + " and the parameters are [-3.22782168 4.34268438] -5.727081947730517 ;\n", + "Epoch 920/1000, Cost: 2.3596\n", + " and the parameters are [-3.22780649 4.34265533] -5.727133970395216 ;\n", + "Epoch 920/1000, Cost: 5.4805\n", + " and the parameters are [-3.22787793 4.34251843] -5.7272046348175945 ;\n", + "Epoch 920/1000, Cost: 2.4938\n", + " and the parameters are [-3.22791559 4.34253468] -5.72718826095202 ;\n", + "Epoch 920/1000, Cost: 1.5964\n", + " and the parameters are [-3.2278803 4.34254855] -5.727220547923914 ;\n", + "Epoch 920/1000, Cost: 1.9029\n", + " and the parameters are [-3.22792159 4.34249151] -5.727259274358657 ;\n", + "Epoch 920/1000, Cost: 1.2419\n", + " and the parameters are [-3.22793645 4.34245303] -5.727304182044486 ;\n", + "Epoch 920/1000, Cost: 7.8193\n", + " and the parameters are [-3.2278948 4.34235935] -5.727364321938714 ;\n", + "Epoch 920/1000, Cost: 5.0006\n", + " and the parameters are [-3.22788143 4.34239379] -5.7273330941501515 ;\n", + "Epoch 920/1000, Cost: 1.7940\n", + " and the parameters are [-3.22783576 4.34242089] -5.727353275296881 ;\n", + "Epoch 920/1000, Cost: 2.7931\n", + " and the parameters are [-3.22778596 4.34252725] -5.7273184619632165 ;\n", + "Epoch 920/1000, Cost: 3.1032\n", + " and the parameters are [-3.22778569 4.34250687] -5.727346320893688 ;\n", + "Epoch 920/1000, Cost: 1.6586\n", + " and the parameters are [-3.2277756 4.34260874] -5.727292765818763 ;\n", + "Epoch 920/1000, Cost: 10.9779\n", + " and the parameters are [-3.22765391 4.34265666] -5.727284229596483 ;\n", + "Epoch 920/1000, Cost: 2.3081\n", + " and the parameters are [-3.22757374 4.34273948] -5.72728877914838 ;\n", + "Epoch 920/1000, Cost: 0.9520\n", + " and the parameters are [-3.22758428 4.34274301] -5.727297061517604 ;\n", + "Epoch 920/1000, Cost: 4.7829\n", + " and the parameters are [-3.22760935 4.34268794] -5.727333522789131 ;\n", + "Epoch 920/1000, Cost: 5.0911\n", + " and the parameters are [-3.22756083 4.34271886] -5.727352844597619 ;\n", + "Epoch 920/1000, Cost: 1.7211\n", + " and the parameters are [-3.2275132 4.34273148] -5.727393574857436 ;\n", + "Epoch 920/1000, Cost: 2.8555\n", + " and the parameters are [-3.22751528 4.34285053] -5.72731479280268 ;\n", + "Epoch 920/1000, Cost: 3.2306\n", + " and the parameters are [-3.22753444 4.34286278] -5.727308658097907 ;\n", + "Epoch 920/1000, Cost: 2.5751\n", + " and the parameters are [-3.22751558 4.34285066] -5.727342614548663 ;\n", + "Epoch 920/1000, Cost: 1.5667\n", + " and the parameters are [-3.22752412 4.34290192] -5.727329732560057 ;\n", + "Epoch 920/1000, Cost: 0.8036\n", + " and the parameters are [-3.22753183 4.34292389] -5.727324414120401 ;\n", + "Epoch 920/1000, Cost: 2.1038\n", + " and the parameters are [-3.22754417 4.34294547] -5.727316495941635 ;\n", + "Epoch 920/1000, Cost: 5.9380\n", + " and the parameters are [-3.22749545 4.34284762] -5.727427164785418 ;\n", + "Epoch 920/1000, Cost: 3.1949\n", + " and the parameters are [-3.22756433 4.34282915] -5.727419063276519 ;\n", + "Epoch 920/1000, Cost: 2.0271\n", + " and the parameters are [-3.22753863 4.3428484 ] -5.727451228787181 ;\n", + "Epoch 920/1000, Cost: 1.5477\n", + " and the parameters are [-3.22758096 4.34287262] -5.727415728999218 ;\n", + "Epoch 920/1000, Cost: 1.1854\n", + " and the parameters are [-3.22757777 4.34286688] -5.727443918819485 ;\n", + "Epoch 920/1000, Cost: 2.5571\n", + " and the parameters are [-3.22752621 4.34295804] -5.727426331197788 ;\n", + "Epoch 920/1000, Cost: 2.3492\n", + " and the parameters are [-3.2275427 4.34299234] -5.727417245890243 ;\n", + "Epoch 920/1000, Cost: 1.1965\n", + " and the parameters are [-3.22752782 4.34305937] -5.7273948021578205 ;\n", + "Epoch 920/1000, Cost: 3.7264\n", + " and the parameters are [-3.22746398 4.34306554] -5.727445079958971 ;\n", + "Epoch 920/1000, Cost: 2.1203\n", + " and the parameters are [-3.22751244 4.3430886 ] -5.727424888839132 ;\n", + "Epoch 920/1000, Cost: 0.9830\n", + " and the parameters are [-3.22749875 4.34313554] -5.727419994692225 ;\n", + "Epoch 920/1000, Cost: 3.5678\n", + " and the parameters are [-3.22752265 4.34306107] -5.727481179094816 ;\n", + "Epoch 920/1000, Cost: 2.1790\n", + " and the parameters are [-3.22753446 4.34316039] -5.727429736971945 ;\n", + "Epoch 920/1000, Cost: 1.3435\n", + " and the parameters are [-3.22749992 4.34323499] -5.727411643560153 ;\n", + "Epoch 920/1000, Cost: 2.7191\n", + " and the parameters are [-3.2275713 4.3431156] -5.7274900218577836 ;\n", + "Epoch 920/1000, Cost: 0.9064\n", + " and the parameters are [-3.22755014 4.34318094] -5.727474312854297 ;\n", + "Epoch 920/1000, Cost: 1.6182\n", + " and the parameters are [-3.22757571 4.3432129 ] -5.727460252994245 ;\n", + "Epoch 920/1000, Cost: 4.5607\n", + " and the parameters are [-3.2276006 4.34309697] -5.727533262270314 ;\n", + "Epoch 920/1000, Cost: 3.7308\n", + " and the parameters are [-3.22759159 4.34297143] -5.727640431151979 ;\n", + "Epoch 920/1000, Cost: 2.1903\n", + " and the parameters are [-3.22763398 4.34297785] -5.727618823546669 ;\n", + "Epoch 920/1000, Cost: 3.0599\n", + " and the parameters are [-3.22762774 4.34308105] -5.727568475335121 ;\n", + "Epoch 920/1000, Cost: 3.3086\n", + " and the parameters are [-3.22766408 4.34297966] -5.727655227994396 ;\n", + "Epoch 920/1000, Cost: 1.3638\n", + " and the parameters are [-3.22764178 4.3430028 ] -5.727672025113136 ;\n", + "Epoch 920/1000, Cost: 3.4250\n", + " and the parameters are [-3.22769969 4.34289855] -5.727735499171178 ;\n", + "Epoch 920/1000, Cost: 1.3127\n", + " and the parameters are [-3.22771152 4.34295826] -5.727707622281424 ;\n", + "Epoch 920/1000, Cost: 3.9007\n", + " and the parameters are [-3.22772827 4.34286373] -5.7277917882478775 ;\n", + "Epoch 920/1000, Cost: 2.9475\n", + " and the parameters are [-3.22775011 4.34282305] -5.72783202410211 ;\n", + "Epoch 920/1000, Cost: 2.5597\n", + " and the parameters are [-3.22768863 4.34282578] -5.727882199870056 ;\n", + "Epoch 920/1000, Cost: 5.9417\n", + " and the parameters are [-3.22770258 4.3427788 ] -5.727900144815373 ;\n", + "Epoch 920/1000, Cost: 3.9612\n", + " and the parameters are [-3.22769785 4.34276915] -5.72791774018411 ;\n", + "Epoch 920/1000, Cost: 3.6037\n", + " and the parameters are [-3.22773775 4.3427828 ] -5.727897318580211 ;\n", + "Epoch 920/1000, Cost: 3.7169\n", + " and the parameters are [-3.22774804 4.34282487] -5.727878972262388 ;\n", + "Epoch 920/1000, Cost: 2.5741\n", + " and the parameters are [-3.22781449 4.34284657] -5.727844621234977 ;\n", + "Epoch 920/1000, Cost: 2.3533\n", + " and the parameters are [-3.22786556 4.34277154] -5.727889637900668 ;\n", + "Epoch 920/1000, Cost: 3.2471\n", + " and the parameters are [-3.227842 4.34273647] -5.727939577036495 ;\n", + "Epoch 920/1000, Cost: 2.7058\n", + " and the parameters are [-3.22795608 4.34262953] -5.727977315315381 ;\n", + "Epoch 920/1000, Cost: 1.7121\n", + " and the parameters are [-3.22797764 4.3426569 ] -5.727967145403668 ;\n", + "Epoch 920/1000, Cost: 1.8863\n", + " and the parameters are [-3.22798519 4.34274963] -5.727923175517683 ;\n", + "Epoch 920/1000, Cost: 3.8354\n", + " and the parameters are [-3.22802039 4.34272024] -5.7279398029212505 ;\n", + "Epoch 920/1000, Cost: 3.0793\n", + " and the parameters are [-3.22795586 4.3427906 ] -5.727947279326105 ;\n", + "Epoch 920/1000, Cost: 0.9840\n", + " and the parameters are [-3.22793433 4.3428508 ] -5.72793185818775 ;\n", + "Epoch 920/1000, Cost: 1.7099\n", + " and the parameters are [-3.22797118 4.3428629 ] -5.727918441862654 ;\n", + "Epoch 920/1000, Cost: 3.9278\n", + " and the parameters are [-3.22799674 4.34267757] -5.728050142150822 ;\n", + "Epoch 920/1000, Cost: 2.7568\n", + " and the parameters are [-3.22795089 4.3426707 ] -5.728093586171924 ;\n", + "Epoch 920/1000, Cost: 1.1502\n", + " and the parameters are [-3.22794617 4.34270358] -5.728091345275156 ;\n", + "Epoch 920/1000, Cost: 3.0277\n", + " and the parameters are [-3.22797225 4.34279346] -5.728032620695277 ;\n", + "Epoch 920/1000, Cost: 1.9183\n", + " and the parameters are [-3.22794458 4.34277977] -5.728075176606175 ;\n", + "Epoch 920/1000, Cost: 2.6042\n", + " and the parameters are [-3.22787629 4.34285064] -5.728077663768347 ;\n", + "Epoch 920/1000, Cost: 3.4354\n", + " and the parameters are [-3.22785416 4.34287462] -5.728089937521626 ;\n", + "Epoch 920/1000, Cost: 1.1145\n", + " and the parameters are [-3.22787031 4.34283996] -5.7281303293507415 ;\n", + "Epoch 920/1000, Cost: 6.7107\n", + " and the parameters are [-3.22785321 4.34279633] -5.728162077434305 ;\n", + "Epoch 920/1000, Cost: 4.8580\n", + " and the parameters are [-3.22790162 4.34272283] -5.728191611121029 ;\n", + "Epoch 920/1000, Cost: 1.7323\n", + " and the parameters are [-3.22792456 4.34276139] -5.728166580139358 ;\n", + "Epoch 920/1000, Cost: 3.1673\n", + " and the parameters are [-3.22790436 4.34276571] -5.7281853576306645 ;\n", + "Epoch 920/1000, Cost: 5.3372\n", + " and the parameters are [-3.22784885 4.34287425] -5.728139786875996 ;\n", + "Epoch 920/1000, Cost: 3.0879\n", + " and the parameters are [-3.22784039 4.34294614] -5.728106436910663 ;\n", + "Epoch 920/1000, Cost: 1.9015\n", + " and the parameters are [-3.22786209 4.34297757] -5.728090087881996 ;\n", + "Epoch 920/1000, Cost: 3.1972\n", + " and the parameters are [-3.22787773 4.34296771] -5.728120349729405 ;\n", + "Epoch 920/1000, Cost: 3.1754\n", + " and the parameters are [-3.22785021 4.34294149] -5.728166618240403 ;\n", + "Epoch 920/1000, Cost: 1.4083\n", + " and the parameters are [-3.22785984 4.34295584] -5.7281756627545635 ;\n", + "Epoch 920/1000, Cost: 1.6450\n", + " and the parameters are [-3.22790259 4.34292259] -5.7281897661445225 ;\n", + "Epoch 920/1000, Cost: 2.6213\n", + " and the parameters are [-3.2279729 4.34280013] -5.728248984495111 ;\n", + "Epoch 920/1000, Cost: 2.4134\n", + " and the parameters are [-3.22796769 4.34276087] -5.728300237512321 ;\n", + "Epoch 920/1000, Cost: 4.2345\n", + " and the parameters are [-3.2280308 4.34267771] -5.728330433191657 ;\n", + "Epoch 920/1000, Cost: 3.9832\n", + " and the parameters are [-3.22800719 4.34257829] -5.728403859512402 ;\n", + "Epoch 920/1000, Cost: 2.6923\n", + " and the parameters are [-3.22807983 4.34248524] -5.728452893440316 ;\n", + "Epoch 920/1000, Cost: 2.2268\n", + " and the parameters are [-3.22807287 4.34256954] -5.728416970177826 ;\n", + "Epoch 920/1000, Cost: 3.3779\n", + " and the parameters are [-3.22808161 4.34250639] -5.728482403504848 ;\n", + "Epoch 920/1000, Cost: 3.3622\n", + " and the parameters are [-3.22807872 4.342601 ] -5.7284381584782595 ;\n", + "Epoch 920/1000, Cost: 1.8495\n", + " and the parameters are [-3.22810079 4.34256 ] -5.728483525915551 ;\n", + "Epoch 920/1000, Cost: 4.2661\n", + " and the parameters are [-3.22822848 4.34240593] -5.728517965918978 ;\n", + "Epoch 920/1000, Cost: 0.6724\n", + " and the parameters are [-3.22822912 4.34243113] -5.728516134451761 ;\n", + "Epoch 920/1000, Cost: 4.2557\n", + " and the parameters are [-3.2282929 4.34249135] -5.728429264773468 ;\n", + "Epoch 920/1000, Cost: 1.9078\n", + " and the parameters are [-3.22834426 4.34241726] -5.728477648603537 ;\n", + "Epoch 920/1000, Cost: 3.5994\n", + " and the parameters are [-3.22840055 4.34229337] -5.7285651562885 ;\n", + "Epoch 920/1000, Cost: 1.2767\n", + " and the parameters are [-3.22839286 4.34235021] -5.728552621576357 ;\n", + "Epoch 920/1000, Cost: 4.6568\n", + " and the parameters are [-3.22835743 4.34226899] -5.728628600353387 ;\n", + "Epoch 920/1000, Cost: 2.1776\n", + " and the parameters are [-3.22835072 4.34223308] -5.728685371576774 ;\n", + "Epoch 920/1000, Cost: 3.4888\n", + " and the parameters are [-3.22836405 4.34231146] -5.728632644978017 ;\n", + "Epoch 920/1000, Cost: 6.1043\n", + " and the parameters are [-3.2282753 4.34230602] -5.728681862112311 ;\n", + "Epoch 920/1000, Cost: 1.2876\n", + " and the parameters are [-3.22831997 4.342321 ] -5.728663627314817 ;\n", + "Epoch 920/1000, Cost: 2.8751\n", + " and the parameters are [-3.22833932 4.34231948] -5.728674978776781 ;\n", + "Epoch 920/1000, Cost: 2.8045\n", + " and the parameters are [-3.22831457 4.3423948 ] -5.728645672886326 ;\n", + "Epoch 920/1000, Cost: 1.0984\n", + " and the parameters are [-3.22833112 4.34242178] -5.728638076126733 ;\n", + "Epoch 920/1000, Cost: 2.9255\n", + " and the parameters are [-3.22839018 4.34243929] -5.7286047302965235 ;\n", + "Epoch 920/1000, Cost: 2.7451\n", + " and the parameters are [-3.22841193 4.34246081] -5.72860065206796 ;\n", + "Epoch 920/1000, Cost: 4.9866\n", + " and the parameters are [-3.22831577 4.34249118] -5.728627644407094 ;\n", + "Epoch 920/1000, Cost: 2.6762\n", + " and the parameters are [-3.22828461 4.34259849] -5.72858739361072 ;\n", + "Epoch 920/1000, Cost: 2.8460\n", + " and the parameters are [-3.22829262 4.34266577] -5.728547276636939 ;\n", + "Epoch 920/1000, Cost: 5.6059\n", + " and the parameters are [-3.22820772 4.34281262] -5.728479754547651 ;\n", + "Epoch 920/1000, Cost: 1.8593\n", + " and the parameters are [-3.22820477 4.34285173] -5.728465599731197 ;\n", + "Epoch 920/1000, Cost: 2.1157\n", + " and the parameters are [-3.22820964 4.34286811] -5.728472253032984 ;\n", + "Epoch 920/1000, Cost: 1.6234\n", + " and the parameters are [-3.22822467 4.34290178] -5.728465380482401 ;\n", + "Epoch 920/1000, Cost: 3.6484\n", + " and the parameters are [-3.2282643 4.3428818] -5.728472224043858 ;\n", + "Epoch 920/1000, Cost: 1.6960\n", + " and the parameters are [-3.22830505 4.34281242] -5.728528614338676 ;\n", + "Epoch 920/1000, Cost: 3.6304\n", + " and the parameters are [-3.22834253 4.34275141] -5.728576984655027 ;\n", + "Epoch 920/1000, Cost: 5.9615\n", + " and the parameters are [-3.22839156 4.34276069] -5.728554632701952 ;\n", + "Epoch 920/1000, Cost: 2.4916\n", + " and the parameters are [-3.22839729 4.34281485] -5.728525185838388 ;\n", + "Epoch 920/1000, Cost: 3.0178\n", + " and the parameters are [-3.22838443 4.34273728] -5.728591119614667 ;\n", + "Epoch 920/1000, Cost: 2.4040\n", + " and the parameters are [-3.22840617 4.34264381] -5.7286714504588945 ;\n", + "Epoch 920/1000, Cost: 6.6826\n", + " and the parameters are [-3.228512 4.34259587] -5.728642840738758 ;\n", + "Epoch 920/1000, Cost: 4.0785\n", + " and the parameters are [-3.22855868 4.34252964] -5.728683334973528 ;\n", + "Epoch 920/1000, Cost: 8.6119\n", + " and the parameters are [-3.22854287 4.34255577] -5.728641725180195 ;\n", + "Epoch 920/1000, Cost: 8.3107\n", + " and the parameters are [-3.22844588 4.34259067] -5.728643141393703 ;\n", + "Epoch 920/1000, Cost: 1.2442\n", + " and the parameters are [-3.22846848 4.34258471] -5.728658488115553 ;\n", + "Epoch 920/1000, Cost: 4.0975\n", + " and the parameters are [-3.22851672 4.34252878] -5.728681459398762 ;\n", + "Epoch 920/1000, Cost: 1.1217\n", + " and the parameters are [-3.22851602 4.34255567] -5.728682432119912 ;\n", + "Epoch 920/1000, Cost: 1.4720\n", + " and the parameters are [-3.22849711 4.34258737] -5.7286926566100655 ;\n", + "Epoch 920/1000, Cost: 2.7454\n", + " and the parameters are [-3.22855564 4.34253922] -5.7287132154701785 ;\n", + "Epoch 920/1000, Cost: 2.8992\n", + " and the parameters are [-3.22867332 4.34250134] -5.728696072374931 ;\n", + "Epoch 920/1000, Cost: 1.2356\n", + " and the parameters are [-3.2286661 4.34253938] -5.72868816136839 ;\n", + "Epoch 920/1000, Cost: 3.9945\n", + " and the parameters are [-3.22867663 4.34250426] -5.728731681983586 ;\n", + "Epoch 920/1000, Cost: 1.7248\n", + " and the parameters are [-3.22868147 4.34251137] -5.728748027415614 ;\n", + "Epoch 920/1000, Cost: 1.7947\n", + " and the parameters are [-3.22871306 4.34255748] -5.728727040811412 ;\n", + "Epoch 920/1000, Cost: 4.0239\n", + " and the parameters are [-3.22862699 4.34260027] -5.728751521882856 ;\n", + "Epoch 920/1000, Cost: 3.0752\n", + " and the parameters are [-3.22859945 4.34271824] -5.728702672530279 ;\n", + "Epoch 920/1000, Cost: 2.7085\n", + " and the parameters are [-3.22859674 4.34269623] -5.728736234425344 ;\n", + "Epoch 920/1000, Cost: 3.6738\n", + " and the parameters are [-3.22867162 4.34270608] -5.728701147327344 ;\n", + "Epoch 920/1000, Cost: 1.6598\n", + " and the parameters are [-3.22867114 4.34273345] -5.728705895459277 ;\n", + "Epoch 920/1000, Cost: 0.2222\n", + " and the parameters are [-3.22866537 4.34275196] -5.728703127781462 ;\n", + "Epoch 920/1000, Cost: 2.0502\n", + " and the parameters are [-3.22865524 4.34277513] -5.7287197639613465 ;\n", + "Epoch 920/1000, Cost: 2.3522\n", + " and the parameters are [-3.22860535 4.34275626] -5.7287855781385595 ;\n", + "Epoch 920/1000, Cost: 1.5401\n", + " and the parameters are [-3.22856615 4.34285913] -5.728747827685438 ;\n", + "Epoch 920/1000, Cost: 3.9810\n", + " and the parameters are [-3.22864396 4.34275213] -5.728794061213813 ;\n", + "Epoch 920/1000, Cost: 2.1855\n", + " and the parameters are [-3.22864885 4.34280818] -5.728764633425643 ;\n", + "Epoch 920/1000, Cost: 3.9127\n", + " and the parameters are [-3.22862014 4.34288352] -5.728714897197368 ;\n", + "Epoch 920/1000, Cost: 1.5636\n", + " and the parameters are [-3.22864489 4.34290586] -5.728706995212054 ;\n", + "Epoch 920/1000, Cost: 3.8477\n", + " and the parameters are [-3.22874948 4.3427691 ] -5.728747004897229 ;\n", + "Epoch 920/1000, Cost: 2.2509\n", + " and the parameters are [-3.22878112 4.34282829] -5.728693331697095 ;\n", + "Epoch 920/1000, Cost: 1.7088\n", + " and the parameters are [-3.22879364 4.34282673] -5.728702628394043 ;\n", + "Epoch 920/1000, Cost: 2.1632\n", + " and the parameters are [-3.22882153 4.34288385] -5.728669157056643 ;\n", + "Epoch 920/1000, Cost: 0.9005\n", + " and the parameters are [-3.22882154 4.34293436] -5.728649752543036 ;\n", + "Epoch 920/1000, Cost: 2.6607\n", + " and the parameters are [-3.22880646 4.34293211] -5.7286885717531515 ;\n", + "Epoch 920/1000, Cost: 4.1095\n", + " and the parameters are [-3.22879529 4.3430928 ] -5.728579623707916 ;\n", + "Epoch 920/1000, Cost: 4.2386\n", + " and the parameters are [-3.22877189 4.34301869] -5.728673095260565 ;\n", + "Epoch 920/1000, Cost: 0.5906\n", + " and the parameters are [-3.22877421 4.34306349] -5.728654327186768 ;\n", + "Epoch 920/1000, Cost: 3.9276\n", + " and the parameters are [-3.22872756 4.34323093] -5.728569885807276 ;\n", + "Epoch 920/1000, Cost: 1.5668\n", + " and the parameters are [-3.22870613 4.34333796] -5.728529299001351 ;\n", + "Epoch 920/1000, Cost: 1.5643\n", + " and the parameters are [-3.22864439 4.34335462] -5.728569474730323 ;\n", + "Epoch 920/1000, Cost: 1.7625\n", + " and the parameters are [-3.22864004 4.34339832] -5.728568864906786 ;\n", + "Epoch 920/1000, Cost: 5.8882\n", + " and the parameters are [-3.22871891 4.34321401] -5.72866314454227 ;\n", + "Epoch 920/1000, Cost: 7.1853\n", + " and the parameters are [-3.22874409 4.34329118] -5.7285820084553905 ;\n", + "Epoch 920/1000, Cost: 1.3178\n", + " and the parameters are [-3.2287588 4.34336074] -5.728541945580051 ;\n", + "Epoch 920/1000, Cost: 4.4248\n", + " and the parameters are [-3.22876016 4.34333765] -5.728566572233252 ;\n", + "Epoch 920/1000, Cost: 3.1747\n", + " and the parameters are [-3.22876201 4.34327792] -5.728616680576339 ;\n", + "Epoch 920/1000, Cost: 0.8240\n", + " and the parameters are [-3.22876992 4.34328661] -5.7286219497071995 ;\n", + "Epoch 920/1000, Cost: 1.3974\n", + " and the parameters are [-3.22880896 4.34333181] -5.728590027531855 ;\n", + "Epoch 920/1000, Cost: 2.9470\n", + " and the parameters are [-3.22883436 4.34339478] -5.728535089990611 ;\n", + "Epoch 920/1000, Cost: 1.6287\n", + " and the parameters are [-3.22882637 4.34342326] -5.728545499044046 ;\n", + "Epoch 920/1000, Cost: 2.9737\n", + " and the parameters are [-3.22882239 4.3434845 ] -5.728518495584591 ;\n", + "Epoch 920/1000, Cost: 8.9522\n", + " and the parameters are [-3.22889509 4.34352921] -5.728423461124898 ;\n", + "Epoch 920/1000, Cost: 1.7967\n", + " and the parameters are [-3.22888453 4.34350921] -5.7284716580943895 ;\n", + "Epoch 920/1000, Cost: 2.6120\n", + " and the parameters are [-3.22884768 4.3435941 ] -5.728448763374581 ;\n", + "Epoch 920/1000, Cost: 2.1644\n", + " and the parameters are [-3.22885757 4.34357011] -5.728481582325047 ;\n", + "Epoch 920/1000, Cost: 4.6382\n", + " and the parameters are [-3.22880562 4.34366816] -5.728444981336626 ;\n", + "Epoch 920/1000, Cost: 1.9831\n", + " and the parameters are [-3.22877665 4.34370878] -5.72845506416552 ;\n", + "Epoch 930/1000, Cost: 2.4874\n", + " and the parameters are [-3.23652668 4.3535982 ] -5.74236086207064 ;\n", + "Epoch 930/1000, Cost: 5.2145\n", + " and the parameters are [-3.23652429 4.35355108] -5.742387370680765 ;\n", + "Epoch 930/1000, Cost: 3.6771\n", + " and the parameters are [-3.2365078 4.35358337] -5.742377838323863 ;\n", + "Epoch 930/1000, Cost: 2.4124\n", + " and the parameters are [-3.23640842 4.35368341] -5.742376979387677 ;\n", + "Epoch 930/1000, Cost: 5.2570\n", + " and the parameters are [-3.23647741 4.35363752] -5.742367807131606 ;\n", + "Epoch 930/1000, Cost: 2.1905\n", + " and the parameters are [-3.23648121 4.35364748] -5.742383175646743 ;\n", + "Epoch 930/1000, Cost: 1.4567\n", + " and the parameters are [-3.23649117 4.35368879] -5.742361354926722 ;\n", + "Epoch 930/1000, Cost: 2.7306\n", + " and the parameters are [-3.23643137 4.35374439] -5.742382812567539 ;\n", + "Epoch 930/1000, Cost: 4.9656\n", + " and the parameters are [-3.23644424 4.35383363] -5.742313078983748 ;\n", + "Epoch 930/1000, Cost: 2.2576\n", + " and the parameters are [-3.23646861 4.35384575] -5.742319598430851 ;\n", + "Epoch 930/1000, Cost: 0.9962\n", + " and the parameters are [-3.23646961 4.35387651] -5.742313903137151 ;\n", + "Epoch 930/1000, Cost: 3.9886\n", + " and the parameters are [-3.23648854 4.35384394] -5.742342435743482 ;\n", + "Epoch 930/1000, Cost: 3.1618\n", + " and the parameters are [-3.23655419 4.35374366] -5.7424027540100555 ;\n", + "Epoch 930/1000, Cost: 2.6966\n", + " and the parameters are [-3.23667075 4.35369999] -5.742388116061813 ;\n", + "Epoch 930/1000, Cost: 2.0735\n", + " and the parameters are [-3.23669111 4.35376992] -5.7423466186937775 ;\n", + "Epoch 930/1000, Cost: 4.6261\n", + " and the parameters are [-3.23665621 4.35383792] -5.742316583007932 ;\n", + "Epoch 930/1000, Cost: 4.6852\n", + " and the parameters are [-3.23669381 4.35384367] -5.74230028925406 ;\n", + "Epoch 930/1000, Cost: 4.1369\n", + " and the parameters are [-3.23670151 4.35387005] -5.742292348002039 ;\n", + "Epoch 930/1000, Cost: 2.1051\n", + " and the parameters are [-3.23675363 4.35389957] -5.742253487276018 ;\n", + "Epoch 930/1000, Cost: 1.0694\n", + " and the parameters are [-3.23673049 4.35392431] -5.742268846113346 ;\n", + "Epoch 930/1000, Cost: 4.3745\n", + " and the parameters are [-3.23666541 4.35403046] -5.742236029111007 ;\n", + "Epoch 930/1000, Cost: 1.3726\n", + " and the parameters are [-3.23662712 4.35405521] -5.742267333060156 ;\n", + "Epoch 930/1000, Cost: 6.9167\n", + " and the parameters are [-3.23657734 4.35392745] -5.742401395815523 ;\n", + "Epoch 930/1000, Cost: 2.2531\n", + " and the parameters are [-3.23656943 4.35396863] -5.74240366003457 ;\n", + "Epoch 930/1000, Cost: 1.8563\n", + " and the parameters are [-3.23660512 4.353907 ] -5.742439260307431 ;\n", + "Epoch 930/1000, Cost: 3.5704\n", + " and the parameters are [-3.23664484 4.35383652] -5.742491246338907 ;\n", + "Epoch 930/1000, Cost: 3.7930\n", + " and the parameters are [-3.23663201 4.35382364] -5.742527290853526 ;\n", + "Epoch 930/1000, Cost: 3.3249\n", + " and the parameters are [-3.23662033 4.35393745] -5.742459201710593 ;\n", + "Epoch 930/1000, Cost: 1.2123\n", + " and the parameters are [-3.23659295 4.35395655] -5.7424757394757355 ;\n", + "Epoch 930/1000, Cost: 1.2825\n", + " and the parameters are [-3.23662621 4.35395741] -5.742476126170133 ;\n", + "Epoch 930/1000, Cost: 1.8615\n", + " and the parameters are [-3.23668945 4.35397778] -5.742453834853445 ;\n", + "Epoch 930/1000, Cost: 3.3743\n", + " and the parameters are [-3.23666243 4.3540024 ] -5.742479485814802 ;\n", + "Epoch 930/1000, Cost: 2.6712\n", + " and the parameters are [-3.23665798 4.35405774] -5.742471762987223 ;\n", + "Epoch 930/1000, Cost: 2.1427\n", + " and the parameters are [-3.23663781 4.35413944] -5.742446667276542 ;\n", + "Epoch 930/1000, Cost: 6.2896\n", + " and the parameters are [-3.23670561 4.35414276] -5.7423976019511915 ;\n", + "Epoch 930/1000, Cost: 3.5158\n", + " and the parameters are [-3.23674716 4.35414752] -5.742387117297681 ;\n", + "Epoch 930/1000, Cost: 1.2322\n", + " and the parameters are [-3.23673829 4.354207 ] -5.742368843348156 ;\n", + "Epoch 930/1000, Cost: 1.2770\n", + " and the parameters are [-3.23676297 4.35419813] -5.742382659311322 ;\n", + "Epoch 930/1000, Cost: 3.2814\n", + " and the parameters are [-3.23670392 4.35437671] -5.742312779561357 ;\n", + "Epoch 930/1000, Cost: 2.8010\n", + " and the parameters are [-3.2367606 4.3543682] -5.7423071869074915 ;\n", + "Epoch 930/1000, Cost: 7.6659\n", + " and the parameters are [-3.23683449 4.35427541] -5.742317875628652 ;\n", + "Epoch 930/1000, Cost: 4.8765\n", + " and the parameters are [-3.23685417 4.35422298] -5.742359563220344 ;\n", + "Epoch 930/1000, Cost: 1.9230\n", + " and the parameters are [-3.23685096 4.35429056] -5.742330905993669 ;\n", + "Epoch 930/1000, Cost: 1.3033\n", + " and the parameters are [-3.23683602 4.35434714] -5.742316879501239 ;\n", + "Epoch 930/1000, Cost: 1.4712\n", + " and the parameters are [-3.2368481 4.35439861] -5.742289967911109 ;\n", + "Epoch 930/1000, Cost: 7.3930\n", + " and the parameters are [-3.23685269 4.35449047] -5.742193882908454 ;\n", + "Epoch 930/1000, Cost: 2.7816\n", + " and the parameters are [-3.2367809 4.35446003] -5.742268396823879 ;\n", + "Epoch 930/1000, Cost: 4.1107\n", + " and the parameters are [-3.23675947 4.35455701] -5.742221499166465 ;\n", + "Epoch 930/1000, Cost: 2.0048\n", + " and the parameters are [-3.23671495 4.35453391] -5.742286184583226 ;\n", + "Epoch 930/1000, Cost: 1.0088\n", + " and the parameters are [-3.23669216 4.3545716 ] -5.7422904414167535 ;\n", + "Epoch 930/1000, Cost: 6.5158\n", + " and the parameters are [-3.23663106 4.35456958] -5.742309549846692 ;\n", + "Epoch 930/1000, Cost: 9.6738\n", + " and the parameters are [-3.23674511 4.35446288] -5.742313719392647 ;\n", + "Epoch 930/1000, Cost: 1.6313\n", + " and the parameters are [-3.23677435 4.35448746] -5.742303798999609 ;\n", + "Epoch 930/1000, Cost: 4.2992\n", + " and the parameters are [-3.23677399 4.35446506] -5.742326271277694 ;\n", + "Epoch 930/1000, Cost: 2.0061\n", + " and the parameters are [-3.23677109 4.35446065] -5.742354986076182 ;\n", + "Epoch 930/1000, Cost: 1.6899\n", + " and the parameters are [-3.2367804 4.35441171] -5.7424095519253875 ;\n", + "Epoch 930/1000, Cost: 1.9742\n", + " and the parameters are [-3.23677434 4.35441137] -5.742435523060446 ;\n", + "Epoch 930/1000, Cost: 3.1534\n", + " and the parameters are [-3.236781 4.35432475] -5.742509895354389 ;\n", + "Epoch 930/1000, Cost: 0.6777\n", + " and the parameters are [-3.23677012 4.35438807] -5.742486225260493 ;\n", + "Epoch 930/1000, Cost: 5.7746\n", + " and the parameters are [-3.23683393 4.35417324] -5.742624252127131 ;\n", + "Epoch 930/1000, Cost: 1.4500\n", + " and the parameters are [-3.23687467 4.35418397] -5.742609915622378 ;\n", + "Epoch 930/1000, Cost: 1.3508\n", + " and the parameters are [-3.23688929 4.35423866] -5.7425825055378175 ;\n", + "Epoch 930/1000, Cost: 0.5217\n", + " and the parameters are [-3.236882 4.35426269] -5.742582082941524 ;\n", + "Epoch 930/1000, Cost: 1.4989\n", + " and the parameters are [-3.23690345 4.35421577] -5.742622956620649 ;\n", + "Epoch 930/1000, Cost: 3.8582\n", + " and the parameters are [-3.2368588 4.35425513] -5.742639725491611 ;\n", + "Epoch 930/1000, Cost: 3.3048\n", + " and the parameters are [-3.23691179 4.35427026] -5.742619492419556 ;\n", + "Epoch 930/1000, Cost: 2.2550\n", + " and the parameters are [-3.23690459 4.35434834] -5.742583757178259 ;\n", + "Epoch 930/1000, Cost: 1.4709\n", + " and the parameters are [-3.23691514 4.35435857] -5.7425965122580465 ;\n", + "Epoch 930/1000, Cost: 1.5139\n", + " and the parameters are [-3.23696363 4.35436014] -5.742585701668661 ;\n", + "Epoch 930/1000, Cost: 1.3104\n", + " and the parameters are [-3.23696234 4.35437712] -5.742594514807021 ;\n", + "Epoch 930/1000, Cost: 2.2975\n", + " and the parameters are [-3.23694474 4.35445688] -5.742557700661575 ;\n", + "Epoch 930/1000, Cost: 1.9033\n", + " and the parameters are [-3.23692992 4.35441057] -5.742606625747982 ;\n", + "Epoch 930/1000, Cost: 4.2656\n", + " and the parameters are [-3.23689088 4.35441071] -5.742634986695747 ;\n", + "Epoch 930/1000, Cost: 1.7746\n", + " and the parameters are [-3.23686839 4.3544537 ] -5.7426338770052014 ;\n", + "Epoch 930/1000, Cost: 2.3879\n", + " and the parameters are [-3.23685877 4.35449071] -5.7426251708595 ;\n", + "Epoch 930/1000, Cost: 2.6980\n", + " and the parameters are [-3.23688414 4.35437435] -5.742710334950583 ;\n", + "Epoch 930/1000, Cost: 2.5003\n", + " and the parameters are [-3.23691541 4.35430628] -5.742757063136694 ;\n", + "Epoch 930/1000, Cost: 11.4306\n", + " and the parameters are [-3.2368396 4.35426229] -5.74278080118805 ;\n", + "Epoch 930/1000, Cost: 1.8235\n", + " and the parameters are [-3.23685406 4.3542596 ] -5.742799189182081 ;\n", + "Epoch 930/1000, Cost: 0.9588\n", + " and the parameters are [-3.23685481 4.35427824] -5.742806423499547 ;\n", + "Epoch 930/1000, Cost: 1.9042\n", + " and the parameters are [-3.23685104 4.35436761] -5.742761391928963 ;\n", + "Epoch 930/1000, Cost: 0.7020\n", + " and the parameters are [-3.23684278 4.3544138 ] -5.742747268089483 ;\n", + "Epoch 930/1000, Cost: 2.5324\n", + " and the parameters are [-3.23681743 4.35438087] -5.742807832200305 ;\n", + "Epoch 930/1000, Cost: 1.0353\n", + " and the parameters are [-3.23680351 4.35439069] -5.742824184140611 ;\n", + "Epoch 930/1000, Cost: 2.8418\n", + " and the parameters are [-3.23681595 4.3544604 ] -5.742775996542137 ;\n", + "Epoch 930/1000, Cost: 5.8390\n", + " and the parameters are [-3.23678152 4.35446466] -5.7427952681055165 ;\n", + "Epoch 930/1000, Cost: 2.6088\n", + " and the parameters are [-3.23675868 4.35444973] -5.742828389228457 ;\n", + "Epoch 930/1000, Cost: 1.1683\n", + " and the parameters are [-3.23674766 4.35452248] -5.74280228063656 ;\n", + "Epoch 930/1000, Cost: 1.7462\n", + " and the parameters are [-3.23674775 4.35453136] -5.742816267653421 ;\n", + "Epoch 930/1000, Cost: 2.4590\n", + " and the parameters are [-3.23679735 4.35453104] -5.742797438604962 ;\n", + "Epoch 930/1000, Cost: 1.9395\n", + " and the parameters are [-3.23683103 4.35446656] -5.742847498469481 ;\n", + "Epoch 930/1000, Cost: 5.7258\n", + " and the parameters are [-3.23689754 4.35427776] -5.742953472936704 ;\n", + "Epoch 930/1000, Cost: 4.2195\n", + " and the parameters are [-3.23699386 4.35433714] -5.742860779741657 ;\n", + "Epoch 930/1000, Cost: 1.2148\n", + " and the parameters are [-3.23697828 4.3543394 ] -5.74289026495744 ;\n", + "Epoch 930/1000, Cost: 0.7938\n", + " and the parameters are [-3.23698456 4.35438892] -5.74286489904564 ;\n", + "Epoch 930/1000, Cost: 3.6402\n", + " and the parameters are [-3.23695593 4.35451915] -5.742791704083476 ;\n", + "Epoch 930/1000, Cost: 1.7667\n", + " and the parameters are [-3.23697889 4.35453233] -5.742786470583239 ;\n", + "Epoch 930/1000, Cost: 2.2257\n", + " and the parameters are [-3.23697352 4.35450064] -5.742833293496046 ;\n", + "Epoch 930/1000, Cost: 0.5022\n", + " and the parameters are [-3.23698027 4.35450853] -5.7428389067250745 ;\n", + "Epoch 930/1000, Cost: 2.5588\n", + " and the parameters are [-3.23693184 4.35454284] -5.742862731675054 ;\n", + "Epoch 930/1000, Cost: 2.6108\n", + " and the parameters are [-3.23694466 4.35455532] -5.742873781347454 ;\n", + "Epoch 930/1000, Cost: 3.9806\n", + " and the parameters are [-3.23694109 4.35451655] -5.742922977704872 ;\n", + "Epoch 930/1000, Cost: 4.5295\n", + " and the parameters are [-3.236999 4.35439463] -5.742997737330705 ;\n", + "Epoch 930/1000, Cost: 3.1002\n", + " and the parameters are [-3.23694147 4.35447632] -5.74298418453288 ;\n", + "Epoch 930/1000, Cost: 1.2921\n", + " and the parameters are [-3.23692202 4.35455039] -5.742952921937395 ;\n", + "Epoch 930/1000, Cost: 4.6919\n", + " and the parameters are [-3.23693919 4.35457809] -5.742930658344401 ;\n", + "Epoch 930/1000, Cost: 3.0002\n", + " and the parameters are [-3.23697544 4.35459572] -5.742919960040802 ;\n", + "Epoch 930/1000, Cost: 2.5375\n", + " and the parameters are [-3.23705695 4.35457389] -5.742921643112387 ;\n", + "Epoch 930/1000, Cost: 0.9589\n", + " and the parameters are [-3.23706336 4.35455551] -5.742949396580122 ;\n", + "Epoch 930/1000, Cost: 1.8647\n", + " and the parameters are [-3.23708484 4.35455432] -5.742958109399797 ;\n", + "Epoch 930/1000, Cost: 4.2828\n", + " and the parameters are [-3.23701572 4.354488 ] -5.74304401170975 ;\n", + "Epoch 930/1000, Cost: 2.1290\n", + " and the parameters are [-3.23700127 4.35447827] -5.74307910266388 ;\n", + "Epoch 930/1000, Cost: 3.4510\n", + " and the parameters are [-3.23699796 4.35437179] -5.743174966920258 ;\n", + "Epoch 930/1000, Cost: 0.9651\n", + " and the parameters are [-3.23698435 4.35441872] -5.743168212957153 ;\n", + "Epoch 930/1000, Cost: 1.0349\n", + " and the parameters are [-3.23701229 4.35443524] -5.743156865679043 ;\n", + "Epoch 930/1000, Cost: 3.2418\n", + " and the parameters are [-3.23710007 4.35430537] -5.743206220248452 ;\n", + "Epoch 930/1000, Cost: 7.7941\n", + " and the parameters are [-3.23697352 4.35423631] -5.743302692979807 ;\n", + "Epoch 930/1000, Cost: 1.2837\n", + " and the parameters are [-3.23701047 4.3542572 ] -5.7432889933011255 ;\n", + "Epoch 930/1000, Cost: 3.4273\n", + " and the parameters are [-3.23702839 4.35417143] -5.743356757307786 ;\n", + "Epoch 930/1000, Cost: 4.7427\n", + " and the parameters are [-3.2370821 4.35411049] -5.7433869971837925 ;\n", + "Epoch 930/1000, Cost: 5.6511\n", + " and the parameters are [-3.23709117 4.35402421] -5.743452479154422 ;\n", + "Epoch 930/1000, Cost: 1.7880\n", + " and the parameters are [-3.23713406 4.35400197] -5.7434669293035245 ;\n", + "Epoch 930/1000, Cost: 4.6744\n", + " and the parameters are [-3.23706814 4.35398883] -5.7435148433651175 ;\n", + "Epoch 930/1000, Cost: 4.3359\n", + " and the parameters are [-3.23703521 4.35390841] -5.743616465819898 ;\n", + "Epoch 930/1000, Cost: 3.1686\n", + " and the parameters are [-3.23696643 4.3538728 ] -5.743692059702819 ;\n", + "Epoch 930/1000, Cost: 4.6713\n", + " and the parameters are [-3.23699701 4.35394184] -5.743629821666213 ;\n", + "Epoch 930/1000, Cost: 1.1213\n", + " and the parameters are [-3.23697201 4.35400128] -5.743617071836919 ;\n", + "Epoch 930/1000, Cost: 1.2486\n", + " and the parameters are [-3.23702194 4.353973 ] -5.743627227342805 ;\n", + "Epoch 930/1000, Cost: 1.1957\n", + " and the parameters are [-3.2370176 4.35397024] -5.743651251136878 ;\n", + "Epoch 930/1000, Cost: 0.7238\n", + " and the parameters are [-3.23701503 4.35401827] -5.743635594590409 ;\n", + "Epoch 930/1000, Cost: 4.4479\n", + " and the parameters are [-3.23698595 4.35408989] -5.74359372108491 ;\n", + "Epoch 930/1000, Cost: 5.5963\n", + " and the parameters are [-3.23700507 4.35396874] -5.743674242095743 ;\n", + "Epoch 930/1000, Cost: 1.6635\n", + " and the parameters are [-3.23695416 4.3540517 ] -5.743656411826195 ;\n", + "Epoch 930/1000, Cost: 3.0643\n", + " and the parameters are [-3.23691337 4.35417203] -5.743609560621551 ;\n", + "Epoch 930/1000, Cost: 1.9946\n", + " and the parameters are [-3.23687256 4.3542872 ] -5.743561492741822 ;\n", + "Epoch 930/1000, Cost: 1.3032\n", + " and the parameters are [-3.23684341 4.35434539] -5.743549152452381 ;\n", + "Epoch 930/1000, Cost: 1.6842\n", + " and the parameters are [-3.23685989 4.35434309] -5.743562680354867 ;\n", + "Epoch 930/1000, Cost: 5.1964\n", + " and the parameters are [-3.23689481 4.35416048] -5.743684235147662 ;\n", + "Epoch 930/1000, Cost: 1.5849\n", + " and the parameters are [-3.23694677 4.35420158] -5.743651105452087 ;\n", + "Epoch 930/1000, Cost: 4.9536\n", + " and the parameters are [-3.23695943 4.35420578] -5.7436530360344475 ;\n", + "Epoch 930/1000, Cost: 0.8743\n", + " and the parameters are [-3.23695921 4.35425035] -5.74363844437399 ;\n", + "Epoch 930/1000, Cost: 5.4830\n", + " and the parameters are [-3.23693756 4.35420626] -5.743680428567372 ;\n", + "Epoch 930/1000, Cost: 1.6370\n", + " and the parameters are [-3.23693427 4.35426788] -5.743655357189922 ;\n", + "Epoch 930/1000, Cost: 2.3466\n", + " and the parameters are [-3.23695401 4.35433326] -5.743619930960293 ;\n", + "Epoch 930/1000, Cost: 5.7575\n", + " and the parameters are [-3.23691517 4.35437299] -5.7436109009177585 ;\n", + "Epoch 930/1000, Cost: 3.8778\n", + " and the parameters are [-3.23685097 4.35444542] -5.743616035094355 ;\n", + "Epoch 930/1000, Cost: 3.7115\n", + " and the parameters are [-3.23694141 4.35440832] -5.743612341887925 ;\n", + "Epoch 930/1000, Cost: 2.2024\n", + " and the parameters are [-3.23698441 4.35435359] -5.743651276134739 ;\n", + "Epoch 930/1000, Cost: 2.6507\n", + " and the parameters are [-3.23699998 4.35430643] -5.743700650347283 ;\n", + "Epoch 930/1000, Cost: 4.9800\n", + " and the parameters are [-3.23707662 4.35433005] -5.743652660790003 ;\n", + "Epoch 930/1000, Cost: 5.7075\n", + " and the parameters are [-3.23725778 4.35420462] -5.743637143910013 ;\n", + "Epoch 930/1000, Cost: 4.9735\n", + " and the parameters are [-3.23726581 4.35404306] -5.743761492388422 ;\n", + "Epoch 930/1000, Cost: 0.8169\n", + " and the parameters are [-3.23726089 4.35403879] -5.743781642444211 ;\n", + "Epoch 930/1000, Cost: 5.7626\n", + " and the parameters are [-3.23729298 4.35408773] -5.743735951688043 ;\n", + "Epoch 930/1000, Cost: 3.9452\n", + " and the parameters are [-3.23725869 4.35421561] -5.743679599817513 ;\n", + "Epoch 930/1000, Cost: 3.6915\n", + " and the parameters are [-3.23718364 4.35442846] -5.7435797729341695 ;\n", + "Epoch 930/1000, Cost: 3.4270\n", + " and the parameters are [-3.23713437 4.35443228] -5.743625666952689 ;\n", + "Epoch 930/1000, Cost: 2.9622\n", + " and the parameters are [-3.23713122 4.35444083] -5.743646154479386 ;\n", + "Epoch 930/1000, Cost: 3.0899\n", + " and the parameters are [-3.23710496 4.35442378] -5.7436822687779125 ;\n", + "Epoch 930/1000, Cost: 1.8153\n", + " and the parameters are [-3.23707233 4.35444755] -5.743714047394141 ;\n", + "Epoch 930/1000, Cost: 3.1157\n", + " and the parameters are [-3.23701387 4.35456293] -5.743669561934717 ;\n", + "Epoch 930/1000, Cost: 3.7679\n", + " and the parameters are [-3.23708051 4.35452666] -5.743687095594262 ;\n", + "Epoch 930/1000, Cost: 0.7096\n", + " and the parameters are [-3.23708392 4.35453973] -5.743694934617495 ;\n", + "Epoch 930/1000, Cost: 2.0134\n", + " and the parameters are [-3.23704369 4.35459586] -5.7436917820155475 ;\n", + "Epoch 930/1000, Cost: 2.6029\n", + " and the parameters are [-3.23712788 4.3544802 ] -5.743755260659589 ;\n", + "Epoch 930/1000, Cost: 4.3233\n", + " and the parameters are [-3.23716492 4.35448292] -5.743736946073674 ;\n", + "Epoch 930/1000, Cost: 2.5258\n", + " and the parameters are [-3.23713331 4.35455571] -5.743713833427444 ;\n", + "Epoch 930/1000, Cost: 2.2617\n", + " and the parameters are [-3.2371624 4.35457129] -5.743711118943383 ;\n", + "Epoch 930/1000, Cost: 1.4113\n", + " and the parameters are [-3.23714723 4.35459224] -5.743727229462209 ;\n", + "Epoch 930/1000, Cost: 1.6172\n", + " and the parameters are [-3.23715665 4.35456354] -5.743761601759192 ;\n", + "Epoch 930/1000, Cost: 6.1975\n", + " and the parameters are [-3.23714553 4.35461848] -5.743716233601081 ;\n", + "Epoch 930/1000, Cost: 2.9045\n", + " and the parameters are [-3.23716243 4.35463005] -5.743725675672956 ;\n", + "Epoch 930/1000, Cost: 1.5392\n", + " and the parameters are [-3.23714142 4.35467876] -5.743720530060522 ;\n", + "Epoch 930/1000, Cost: 2.9929\n", + " and the parameters are [-3.23715797 4.35464379] -5.743766311341762 ;\n", + "Epoch 930/1000, Cost: 2.4585\n", + " and the parameters are [-3.23717084 4.35463798] -5.743782521758286 ;\n", + "Epoch 930/1000, Cost: 0.9583\n", + " and the parameters are [-3.23717172 4.35467003] -5.743780652822739 ;\n", + "Epoch 930/1000, Cost: 4.3377\n", + " and the parameters are [-3.23718716 4.35457075] -5.743848658973877 ;\n", + "Epoch 930/1000, Cost: 1.8668\n", + " and the parameters are [-3.2372073 4.35459144] -5.743848649968154 ;\n", + "Epoch 930/1000, Cost: 0.7771\n", + " and the parameters are [-3.23722423 4.35460716] -5.74384523487944 ;\n", + "Epoch 930/1000, Cost: 4.6669\n", + " and the parameters are [-3.23726359 4.35452364] -5.743876057660084 ;\n", + "Epoch 930/1000, Cost: 13.2680\n", + " and the parameters are [-3.23732707 4.35446721] -5.743835917104114 ;\n", + "Epoch 930/1000, Cost: 4.5527\n", + " and the parameters are [-3.23736168 4.35439773] -5.743863659647048 ;\n", + "Epoch 930/1000, Cost: 0.5780\n", + " and the parameters are [-3.23735877 4.35440187] -5.743878000406027 ;\n", + "Epoch 930/1000, Cost: 8.0720\n", + " and the parameters are [-3.23729989 4.35443006] -5.7438549567072 ;\n", + "Epoch 930/1000, Cost: 1.4015\n", + " and the parameters are [-3.23727108 4.35452727] -5.743816531462203 ;\n", + "Epoch 930/1000, Cost: 2.8725\n", + " and the parameters are [-3.23725611 4.35447724] -5.743879234679828 ;\n", + "Epoch 930/1000, Cost: 1.3046\n", + " and the parameters are [-3.23724459 4.35449641] -5.7438905165564655 ;\n", + "Epoch 930/1000, Cost: 3.3956\n", + " and the parameters are [-3.23725287 4.35459074] -5.743833644559783 ;\n", + "Epoch 930/1000, Cost: 1.2540\n", + " and the parameters are [-3.23727815 4.35458518] -5.743848271154156 ;\n", + "Epoch 930/1000, Cost: 2.4425\n", + " and the parameters are [-3.23726757 4.35468986] -5.743796399407487 ;\n", + "Epoch 930/1000, Cost: 3.3742\n", + " and the parameters are [-3.23730489 4.35474651] -5.743749823914636 ;\n", + "Epoch 930/1000, Cost: 1.8681\n", + " and the parameters are [-3.23732734 4.35468669] -5.743802919075951 ;\n", + "Epoch 930/1000, Cost: 2.4432\n", + " and the parameters are [-3.23735159 4.35465686] -5.7438280216410496 ;\n", + "Epoch 930/1000, Cost: 1.8909\n", + " and the parameters are [-3.23737743 4.35460743] -5.743869142603513 ;\n", + "Epoch 930/1000, Cost: 2.9166\n", + " and the parameters are [-3.23738313 4.35457669] -5.7439080320115945 ;\n", + "Epoch 930/1000, Cost: 3.2080\n", + " and the parameters are [-3.23740963 4.35457178] -5.743913219366939 ;\n", + "Epoch 930/1000, Cost: 4.0746\n", + " and the parameters are [-3.23743782 4.35445027] -5.743977649310261 ;\n", + "Epoch 930/1000, Cost: 1.3472\n", + " and the parameters are [-3.23742533 4.35448198] -5.74398419168285 ;\n", + "Epoch 930/1000, Cost: 1.5958\n", + " and the parameters are [-3.23746215 4.35452617] -5.743949855700107 ;\n", + "Epoch 930/1000, Cost: 2.4160\n", + " and the parameters are [-3.23747179 4.35454152] -5.74395123089645 ;\n", + "Epoch 940/1000, Cost: 0.5431\n", + " and the parameters are [-3.2452079 4.36429478] -5.757699426203254 ;\n", + "Epoch 940/1000, Cost: 1.5941\n", + " and the parameters are [-3.24521345 4.36436405] -5.7576634466301355 ;\n", + "Epoch 940/1000, Cost: 4.3733\n", + " and the parameters are [-3.24513352 4.36437122] -5.757711868945197 ;\n", + "Epoch 940/1000, Cost: 2.5854\n", + " and the parameters are [-3.24510749 4.36434904] -5.757755255615725 ;\n", + "Epoch 940/1000, Cost: 3.6305\n", + " and the parameters are [-3.24511647 4.36440915] -5.757726490219883 ;\n", + "Epoch 940/1000, Cost: 1.7522\n", + " and the parameters are [-3.24508009 4.36444307] -5.757744650753379 ;\n", + "Epoch 940/1000, Cost: 3.6605\n", + " and the parameters are [-3.24515231 4.3645251 ] -5.7576523031341145 ;\n", + "Epoch 940/1000, Cost: 1.3927\n", + " and the parameters are [-3.24514486 4.36451578] -5.757680926730725 ;\n", + "Epoch 940/1000, Cost: 5.8869\n", + " and the parameters are [-3.24506116 4.36466173] -5.757613883838729 ;\n", + "Epoch 940/1000, Cost: 1.8760\n", + " and the parameters are [-3.24508838 4.36463845] -5.757629025380143 ;\n", + "Epoch 940/1000, Cost: 2.1766\n", + " and the parameters are [-3.24504701 4.36465337] -5.757665836476594 ;\n", + "Epoch 940/1000, Cost: 4.6928\n", + " and the parameters are [-3.24503537 4.36464082] -5.757693576063026 ;\n", + "Epoch 940/1000, Cost: 1.2149\n", + " and the parameters are [-3.24508207 4.36461844] -5.757700389127164 ;\n", + "Epoch 940/1000, Cost: 2.4755\n", + " and the parameters are [-3.24508551 4.36463146] -5.757714755147222 ;\n", + "Epoch 940/1000, Cost: 5.9684\n", + " and the parameters are [-3.24506762 4.36454755] -5.757776721728424 ;\n", + "Epoch 940/1000, Cost: 4.6473\n", + " and the parameters are [-3.24515169 4.36449777] -5.757761643375635 ;\n", + "Epoch 940/1000, Cost: 4.0610\n", + " and the parameters are [-3.24521331 4.36450053] -5.757741047568267 ;\n", + "Epoch 940/1000, Cost: 2.5277\n", + " and the parameters are [-3.24517795 4.36460218] -5.757700387834452 ;\n", + "Epoch 940/1000, Cost: 0.6670\n", + " and the parameters are [-3.24519121 4.36459546] -5.757714135285007 ;\n", + "Epoch 940/1000, Cost: 2.9296\n", + " and the parameters are [-3.2452083 4.36461054] -5.757719781802694 ;\n", + "Epoch 940/1000, Cost: 1.0358\n", + " and the parameters are [-3.24520848 4.36466668] -5.757697407351377 ;\n", + "Epoch 940/1000, Cost: 3.5401\n", + " and the parameters are [-3.24519555 4.36472171] -5.757682984030444 ;\n", + "Epoch 940/1000, Cost: 0.8611\n", + " and the parameters are [-3.2451782 4.36477693] -5.757668087395235 ;\n", + "Epoch 940/1000, Cost: 2.2931\n", + " and the parameters are [-3.2451662 4.36481207] -5.757665207926147 ;\n", + "Epoch 940/1000, Cost: 3.0180\n", + " and the parameters are [-3.24523608 4.36467553] -5.757751740878545 ;\n", + "Epoch 940/1000, Cost: 4.1941\n", + " and the parameters are [-3.24523473 4.36469015] -5.757759680524025 ;\n", + "Epoch 940/1000, Cost: 3.6888\n", + " and the parameters are [-3.24522551 4.36474933] -5.7577379575576915 ;\n", + "Epoch 940/1000, Cost: 4.1490\n", + " and the parameters are [-3.24524887 4.36462287] -5.7578330033329586 ;\n", + "Epoch 940/1000, Cost: 1.2758\n", + " and the parameters are [-3.24525046 4.36462795] -5.75784907666021 ;\n", + "Epoch 940/1000, Cost: 3.0666\n", + " and the parameters are [-3.24529849 4.36469711] -5.757788769382673 ;\n", + "Epoch 940/1000, Cost: 4.4339\n", + " and the parameters are [-3.24524181 4.36470588] -5.7578207937022965 ;\n", + "Epoch 940/1000, Cost: 2.8904\n", + " and the parameters are [-3.24525642 4.36463061] -5.757882107603311 ;\n", + "Epoch 940/1000, Cost: 2.5692\n", + " and the parameters are [-3.24519992 4.36471886] -5.75786748416721 ;\n", + "Epoch 940/1000, Cost: 1.0385\n", + " and the parameters are [-3.24521557 4.36473983] -5.7578666744533935 ;\n", + "Epoch 940/1000, Cost: 2.3047\n", + " and the parameters are [-3.24524037 4.36484117] -5.757797176446161 ;\n", + "Epoch 940/1000, Cost: 1.3526\n", + " and the parameters are [-3.2452507 4.36487596] -5.757770720624589 ;\n", + "Epoch 940/1000, Cost: 2.4224\n", + " and the parameters are [-3.24531175 4.36490321] -5.757746352010689 ;\n", + "Epoch 940/1000, Cost: 2.9510\n", + " and the parameters are [-3.24535832 4.36491325] -5.757721111401804 ;\n", + "Epoch 940/1000, Cost: 1.1058\n", + " and the parameters are [-3.24535546 4.36491803] -5.757734093366161 ;\n", + "Epoch 940/1000, Cost: 3.4703\n", + " and the parameters are [-3.24531661 4.36500327] -5.75771084343332 ;\n", + "Epoch 940/1000, Cost: 2.7730\n", + " and the parameters are [-3.24532901 4.36505856] -5.75769404140314 ;\n", + "Epoch 940/1000, Cost: 3.4928\n", + " and the parameters are [-3.24532018 4.36510056] -5.757676275548864 ;\n", + "Epoch 940/1000, Cost: 2.7565\n", + " and the parameters are [-3.24535489 4.36506307] -5.7577033624076766 ;\n", + "Epoch 940/1000, Cost: 4.4833\n", + " and the parameters are [-3.2452899 4.36508851] -5.757735467075674 ;\n", + "Epoch 940/1000, Cost: 0.5566\n", + " and the parameters are [-3.24529842 4.36509429] -5.7577408863541075 ;\n", + "Epoch 940/1000, Cost: 7.9216\n", + " and the parameters are [-3.24536172 4.36508891] -5.757673885622435 ;\n", + "Epoch 940/1000, Cost: 1.2515\n", + " and the parameters are [-3.24536706 4.36508976] -5.757691501220233 ;\n", + "Epoch 940/1000, Cost: 0.6029\n", + " and the parameters are [-3.24538188 4.36508328] -5.757704916958527 ;\n", + "Epoch 940/1000, Cost: 10.2227\n", + " and the parameters are [-3.2454198 4.36512932] -5.757615659659358 ;\n", + "Epoch 940/1000, Cost: 6.9447\n", + " and the parameters are [-3.24543481 4.36510236] -5.757610170481327 ;\n", + "Epoch 940/1000, Cost: 4.5534\n", + " and the parameters are [-3.24532249 4.36513816] -5.757630169924314 ;\n", + "Epoch 940/1000, Cost: 2.3681\n", + " and the parameters are [-3.24533777 4.36515102] -5.757625938670705 ;\n", + "Epoch 940/1000, Cost: 1.0881\n", + " and the parameters are [-3.24534469 4.36514849] -5.75764679574858 ;\n", + "Epoch 940/1000, Cost: 1.3996\n", + " and the parameters are [-3.24538992 4.36520682] -5.7575982878747425 ;\n", + "Epoch 940/1000, Cost: 3.0745\n", + " and the parameters are [-3.2454385 4.36515379] -5.757635561401506 ;\n", + "Epoch 940/1000, Cost: 0.6302\n", + " and the parameters are [-3.24545548 4.36518691] -5.757614367273791 ;\n", + "Epoch 940/1000, Cost: 1.2527\n", + " and the parameters are [-3.24543078 4.36518523] -5.757648009583229 ;\n", + "Epoch 940/1000, Cost: 4.0471\n", + " and the parameters are [-3.24541344 4.36512061] -5.75771918913505 ;\n", + "Epoch 940/1000, Cost: 1.0327\n", + " and the parameters are [-3.24542251 4.36510969] -5.757743879669746 ;\n", + "Epoch 940/1000, Cost: 6.0561\n", + " and the parameters are [-3.24543898 4.36501227] -5.757796433481625 ;\n", + "Epoch 940/1000, Cost: 2.9738\n", + " and the parameters are [-3.24543521 4.3649872 ] -5.757836215341485 ;\n", + "Epoch 940/1000, Cost: 1.3955\n", + " and the parameters are [-3.24542905 4.36503455] -5.7578254505049316 ;\n", + "Epoch 940/1000, Cost: 0.7760\n", + " and the parameters are [-3.2454362 4.36501739] -5.757852361370934 ;\n", + "Epoch 940/1000, Cost: 1.8933\n", + " and the parameters are [-3.24544465 4.36501376] -5.757877903371198 ;\n", + "Epoch 940/1000, Cost: 4.7359\n", + " and the parameters are [-3.24554002 4.36509929] -5.757763579772857 ;\n", + "Epoch 940/1000, Cost: 1.3424\n", + " and the parameters are [-3.24553246 4.36509669] -5.757792832883122 ;\n", + "Epoch 940/1000, Cost: 3.9160\n", + " and the parameters are [-3.24548492 4.36515391] -5.757796105695779 ;\n", + "Epoch 940/1000, Cost: 4.7716\n", + " and the parameters are [-3.24555051 4.36501112] -5.757866763043799 ;\n", + "Epoch 940/1000, Cost: 2.8762\n", + " and the parameters are [-3.24555046 4.36500807] -5.757880101444947 ;\n", + "Epoch 940/1000, Cost: 2.0732\n", + " and the parameters are [-3.24557368 4.36509249] -5.7578203780505 ;\n", + "Epoch 940/1000, Cost: 0.6236\n", + " and the parameters are [-3.24556917 4.36512544] -5.757813616940343 ;\n", + "Epoch 940/1000, Cost: 4.5349\n", + " and the parameters are [-3.24553559 4.36527982] -5.757722704192371 ;\n", + "Epoch 940/1000, Cost: 1.3911\n", + " and the parameters are [-3.24549087 4.36530513] -5.757738724792192 ;\n", + "Epoch 940/1000, Cost: 5.4811\n", + " and the parameters are [-3.24546426 4.36539998] -5.75769470729994 ;\n", + "Epoch 940/1000, Cost: 1.8093\n", + " and the parameters are [-3.24550336 4.36534981] -5.75773206262867 ;\n", + "Epoch 940/1000, Cost: 3.7036\n", + " and the parameters are [-3.24553346 4.36534765] -5.7577224036205585 ;\n", + "Epoch 940/1000, Cost: 2.9188\n", + " and the parameters are [-3.24557568 4.36531792] -5.757735699562518 ;\n", + "Epoch 940/1000, Cost: 1.1363\n", + " and the parameters are [-3.2455997 4.36532357] -5.757741839761645 ;\n", + "Epoch 940/1000, Cost: 4.0039\n", + " and the parameters are [-3.24556192 4.36528752] -5.757792868675971 ;\n", + "Epoch 940/1000, Cost: 1.8751\n", + " and the parameters are [-3.2455667 4.36532601] -5.75779122622835 ;\n", + "Epoch 940/1000, Cost: 3.4603\n", + " and the parameters are [-3.24572182 4.36512277] -5.7578633559796675 ;\n", + "Epoch 940/1000, Cost: 1.9403\n", + " and the parameters are [-3.24577943 4.36508457] -5.757874964478942 ;\n", + "Epoch 940/1000, Cost: 8.6035\n", + " and the parameters are [-3.24567205 4.36501109] -5.757960125487784 ;\n", + "Epoch 940/1000, Cost: 0.7914\n", + " and the parameters are [-3.24568668 4.36500274] -5.757975893659249 ;\n", + "Epoch 940/1000, Cost: 1.2918\n", + " and the parameters are [-3.24570797 4.36503243] -5.757955361948599 ;\n", + "Epoch 940/1000, Cost: 11.3065\n", + " and the parameters are [-3.24566814 4.3651696 ] -5.757823414198759 ;\n", + "Epoch 940/1000, Cost: 4.5356\n", + " and the parameters are [-3.24577055 4.36499642] -5.757889355459603 ;\n", + "Epoch 940/1000, Cost: 2.4827\n", + " and the parameters are [-3.24576076 4.36499452] -5.757927269260311 ;\n", + "Epoch 940/1000, Cost: 1.8697\n", + " and the parameters are [-3.24576635 4.36506157] -5.757883217199441 ;\n", + "Epoch 940/1000, Cost: 4.7224\n", + " and the parameters are [-3.24589411 4.36502188] -5.757871156285647 ;\n", + "Epoch 940/1000, Cost: 1.3091\n", + " and the parameters are [-3.24591008 4.36504758] -5.7578596751229245 ;\n", + "Epoch 940/1000, Cost: 1.9781\n", + " and the parameters are [-3.24593193 4.36512128] -5.757809128154776 ;\n", + "Epoch 940/1000, Cost: 4.7498\n", + " and the parameters are [-3.24590713 4.3650269 ] -5.7579030175655745 ;\n", + "Epoch 940/1000, Cost: 2.2862\n", + " and the parameters are [-3.24592152 4.36505962] -5.757896406720471 ;\n", + "Epoch 940/1000, Cost: 3.5584\n", + " and the parameters are [-3.24591454 4.36505908] -5.757917156603814 ;\n", + "Epoch 940/1000, Cost: 1.0472\n", + " and the parameters are [-3.2459293 4.36509954] -5.757899038274839 ;\n", + "Epoch 940/1000, Cost: 1.3828\n", + " and the parameters are [-3.24594587 4.36509963] -5.757913355701854 ;\n", + "Epoch 940/1000, Cost: 3.1902\n", + " and the parameters are [-3.24595243 4.36503503] -5.7579719133410805 ;\n", + "Epoch 940/1000, Cost: 3.6398\n", + " and the parameters are [-3.24586193 4.36511594] -5.757974747403635 ;\n", + "Epoch 940/1000, Cost: 8.6128\n", + " and the parameters are [-3.24584835 4.36512102] -5.7579502718812305 ;\n", + "Epoch 940/1000, Cost: 2.1570\n", + " and the parameters are [-3.24587733 4.36506361] -5.75799921633029 ;\n", + "Epoch 940/1000, Cost: 2.1376\n", + " and the parameters are [-3.2459231 4.36509571] -5.757970697952474 ;\n", + "Epoch 940/1000, Cost: 3.1095\n", + " and the parameters are [-3.24584782 4.36525721] -5.757923007511083 ;\n", + "Epoch 940/1000, Cost: 2.8210\n", + " and the parameters are [-3.24583801 4.36520021] -5.75799068445866 ;\n", + "Epoch 940/1000, Cost: 2.5665\n", + " and the parameters are [-3.2457917 4.36530357] -5.757960646599737 ;\n", + "Epoch 940/1000, Cost: 5.3357\n", + " and the parameters are [-3.24586287 4.36510384] -5.758061809293574 ;\n", + "Epoch 940/1000, Cost: 5.4399\n", + " and the parameters are [-3.24580315 4.36527865] -5.757965826622918 ;\n", + "Epoch 940/1000, Cost: 0.9646\n", + " and the parameters are [-3.24580108 4.3653132 ] -5.757962556456264 ;\n", + "Epoch 940/1000, Cost: 3.1668\n", + " and the parameters are [-3.24576744 4.36544277] -5.757895088830608 ;\n", + "Epoch 940/1000, Cost: 1.4418\n", + " and the parameters are [-3.24575721 4.36547682] -5.757897957179114 ;\n", + "Epoch 940/1000, Cost: 2.5151\n", + " and the parameters are [-3.24575486 4.36544642] -5.757936426907715 ;\n", + "Epoch 940/1000, Cost: 4.0336\n", + " and the parameters are [-3.24580655 4.36534811] -5.75799329706692 ;\n", + "Epoch 940/1000, Cost: 2.5385\n", + " and the parameters are [-3.24578422 4.36543028] -5.7579699080132105 ;\n", + "Epoch 940/1000, Cost: 1.2463\n", + " and the parameters are [-3.24580452 4.36543784] -5.75797154669667 ;\n", + "Epoch 940/1000, Cost: 3.0246\n", + " and the parameters are [-3.24572602 4.36555892] -5.757944298221597 ;\n", + "Epoch 940/1000, Cost: 1.8615\n", + " and the parameters are [-3.24575936 4.36558489] -5.757930922043234 ;\n", + "Epoch 940/1000, Cost: 3.0905\n", + " and the parameters are [-3.24578108 4.36550561] -5.7579933126016565 ;\n", + "Epoch 940/1000, Cost: 1.9279\n", + " and the parameters are [-3.24579411 4.36551741] -5.757999723993227 ;\n", + "Epoch 940/1000, Cost: 3.9443\n", + " and the parameters are [-3.24573514 4.36544688] -5.758092911915338 ;\n", + "Epoch 940/1000, Cost: 4.1456\n", + " and the parameters are [-3.24573548 4.36548915] -5.758081497427773 ;\n", + "Epoch 940/1000, Cost: 4.5665\n", + " and the parameters are [-3.24581024 4.36542171] -5.758108553142409 ;\n", + "Epoch 940/1000, Cost: 3.4032\n", + " and the parameters are [-3.2458285 4.36532371] -5.758184257043082 ;\n", + "Epoch 940/1000, Cost: 4.5991\n", + " and the parameters are [-3.24578887 4.36545697] -5.7581330874053585 ;\n", + "Epoch 940/1000, Cost: 1.3170\n", + " and the parameters are [-3.24577215 4.36546806] -5.758153126210805 ;\n", + "Epoch 940/1000, Cost: 3.1439\n", + " and the parameters are [-3.24581559 4.36544282] -5.758161400212892 ;\n", + "Epoch 940/1000, Cost: 2.8736\n", + " and the parameters are [-3.24581899 4.36534685] -5.758255437183509 ;\n", + "Epoch 940/1000, Cost: 4.1521\n", + " and the parameters are [-3.24585843 4.36530704] -5.75826028178749 ;\n", + "Epoch 940/1000, Cost: 2.2722\n", + " and the parameters are [-3.2459344 4.36526073] -5.758281806635614 ;\n", + "Epoch 940/1000, Cost: 1.3214\n", + " and the parameters are [-3.24596238 4.3652328 ] -5.7583064630219125 ;\n", + "Epoch 940/1000, Cost: 2.1876\n", + " and the parameters are [-3.24596384 4.36528939] -5.758266108920026 ;\n", + "Epoch 940/1000, Cost: 1.7369\n", + " and the parameters are [-3.24591349 4.3652838 ] -5.758319993639758 ;\n", + "Epoch 940/1000, Cost: 2.7059\n", + " and the parameters are [-3.24595171 4.36533472] -5.758284537245275 ;\n", + "Epoch 940/1000, Cost: 2.5582\n", + " and the parameters are [-3.24595295 4.3653108 ] -5.758322133947531 ;\n", + "Epoch 940/1000, Cost: 4.9409\n", + " and the parameters are [-3.24598422 4.36529053] -5.758314009989357 ;\n", + "Epoch 940/1000, Cost: 6.9985\n", + " and the parameters are [-3.24592177 4.3651803 ] -5.758421525595774 ;\n", + "Epoch 940/1000, Cost: 1.2417\n", + " and the parameters are [-3.24593342 4.36521463] -5.758409508532097 ;\n", + "Epoch 940/1000, Cost: 1.3632\n", + " and the parameters are [-3.24597618 4.36520924] -5.758414775031618 ;\n", + "Epoch 940/1000, Cost: 2.4882\n", + " and the parameters are [-3.2459615 4.36517923] -5.758474492626651 ;\n", + "Epoch 940/1000, Cost: 2.1198\n", + " and the parameters are [-3.24596317 4.36526 ] -5.758439675752713 ;\n", + "Epoch 940/1000, Cost: 5.6220\n", + " and the parameters are [-3.24607392 4.3650861 ] -5.758499094575032 ;\n", + "Epoch 940/1000, Cost: 0.8093\n", + " and the parameters are [-3.24606963 4.3651291 ] -5.758488071771124 ;\n", + "Epoch 940/1000, Cost: 4.5667\n", + " and the parameters are [-3.24601006 4.36503676] -5.758576916196002 ;\n", + "Epoch 940/1000, Cost: 2.0298\n", + " and the parameters are [-3.24605152 4.3649584 ] -5.758626950650891 ;\n", + "Epoch 940/1000, Cost: 0.8326\n", + " and the parameters are [-3.24602672 4.36500027] -5.7586273257529275 ;\n", + "Epoch 940/1000, Cost: 5.5994\n", + " and the parameters are [-3.24603937 4.36502706] -5.7585893395886565 ;\n", + "Epoch 940/1000, Cost: 2.8813\n", + " and the parameters are [-3.24600588 4.36507805] -5.758588342452471 ;\n", + "Epoch 940/1000, Cost: 6.1154\n", + " and the parameters are [-3.24603734 4.36512669] -5.758549006047375 ;\n", + "Epoch 940/1000, Cost: 1.7864\n", + " and the parameters are [-3.24601027 4.36512344] -5.7585861359180806 ;\n", + "Epoch 940/1000, Cost: 1.8513\n", + " and the parameters are [-3.24599939 4.36516117] -5.758584746316634 ;\n", + "Epoch 940/1000, Cost: 2.0235\n", + " and the parameters are [-3.24601074 4.36518762] -5.758584281902843 ;\n", + "Epoch 940/1000, Cost: 4.1694\n", + " and the parameters are [-3.24610865 4.36501542] -5.7586618737613815 ;\n", + "Epoch 940/1000, Cost: 0.8581\n", + " and the parameters are [-3.24610115 4.36504673] -5.758660409361501 ;\n", + "Epoch 940/1000, Cost: 2.6734\n", + " and the parameters are [-3.24606391 4.36503196] -5.758712312828574 ;\n", + "Epoch 940/1000, Cost: 3.8960\n", + " and the parameters are [-3.24610548 4.36491755] -5.758795137589405 ;\n", + "Epoch 940/1000, Cost: 2.8474\n", + " and the parameters are [-3.24614536 4.36488966] -5.758810206150652 ;\n", + "Epoch 940/1000, Cost: 4.4126\n", + " and the parameters are [-3.24615751 4.3648882 ] -5.758815806050415 ;\n", + "Epoch 940/1000, Cost: 3.7481\n", + " and the parameters are [-3.2460148 4.36510517] -5.758751209652611 ;\n", + "Epoch 940/1000, Cost: 2.8286\n", + " and the parameters are [-3.24597638 4.3651951 ] -5.758727763962566 ;\n", + "Epoch 940/1000, Cost: 1.7591\n", + " and the parameters are [-3.24597264 4.36520636] -5.758739740709138 ;\n", + "Epoch 940/1000, Cost: 5.3202\n", + " and the parameters are [-3.24596226 4.36511824] -5.758822571135065 ;\n", + "Epoch 940/1000, Cost: 4.3822\n", + " and the parameters are [-3.24590686 4.36516401] -5.758839894635147 ;\n", + "Epoch 940/1000, Cost: 2.1392\n", + " and the parameters are [-3.24588777 4.36528174] -5.758781816771175 ;\n", + "Epoch 940/1000, Cost: 3.6951\n", + " and the parameters are [-3.2459047 4.36518143] -5.75886737742895 ;\n", + "Epoch 940/1000, Cost: 2.4556\n", + " and the parameters are [-3.24588661 4.36518937] -5.758891028870788 ;\n", + "Epoch 940/1000, Cost: 1.9479\n", + " and the parameters are [-3.24588445 4.36519401] -5.758912104076071 ;\n", + "Epoch 940/1000, Cost: 2.8092\n", + " and the parameters are [-3.24586726 4.36525445] -5.758899669991693 ;\n", + "Epoch 940/1000, Cost: 1.2640\n", + " and the parameters are [-3.24582721 4.36529641] -5.758911337670144 ;\n", + "Epoch 940/1000, Cost: 4.2754\n", + " and the parameters are [-3.24587342 4.36524773] -5.758927252225837 ;\n", + "Epoch 940/1000, Cost: 1.7413\n", + " and the parameters are [-3.24586865 4.36528112] -5.758932031402499 ;\n", + "Epoch 940/1000, Cost: 1.2149\n", + " and the parameters are [-3.24586172 4.3653089 ] -5.758937096534245 ;\n", + "Epoch 940/1000, Cost: 3.1070\n", + " and the parameters are [-3.24589385 4.36522744] -5.758984530046277 ;\n", + "Epoch 940/1000, Cost: 2.2608\n", + " and the parameters are [-3.24590527 4.36525537] -5.758972312434481 ;\n", + "Epoch 940/1000, Cost: 3.3124\n", + " and the parameters are [-3.24583642 4.36523051] -5.7590245644233375 ;\n", + "Epoch 940/1000, Cost: 0.9873\n", + " and the parameters are [-3.24584112 4.36521697] -5.75904894728921 ;\n", + "Epoch 940/1000, Cost: 2.2372\n", + " and the parameters are [-3.24585801 4.36528662] -5.759003984325585 ;\n", + "Epoch 940/1000, Cost: 2.1817\n", + " and the parameters are [-3.24590932 4.3652125 ] -5.759060614564881 ;\n", + "Epoch 940/1000, Cost: 2.4136\n", + " and the parameters are [-3.24596799 4.36518138] -5.759079210972163 ;\n", + "Epoch 940/1000, Cost: 3.8464\n", + " and the parameters are [-3.24589971 4.36518884] -5.759110930419583 ;\n", + "Epoch 940/1000, Cost: 1.7639\n", + " and the parameters are [-3.24590577 4.36516221] -5.759149015866739 ;\n", + "Epoch 940/1000, Cost: 1.8089\n", + " and the parameters are [-3.24590936 4.36516415] -5.759170426493785 ;\n", + "Epoch 940/1000, Cost: 2.2006\n", + " and the parameters are [-3.24591809 4.36522011] -5.759133095532537 ;\n", + "Epoch 940/1000, Cost: 1.5684\n", + " and the parameters are [-3.24591188 4.36522586] -5.759156832895497 ;\n", + "Epoch 940/1000, Cost: 7.3092\n", + " and the parameters are [-3.24592798 4.36517449] -5.759167680523241 ;\n", + "Epoch 940/1000, Cost: 3.3082\n", + " and the parameters are [-3.24595889 4.36517005] -5.759181372454869 ;\n", + "Epoch 940/1000, Cost: 4.0215\n", + " and the parameters are [-3.24591068 4.36538741] -5.759066337954719 ;\n", + "Epoch 940/1000, Cost: 1.5318\n", + " and the parameters are [-3.24597207 4.36530271] -5.759119145733569 ;\n", + "Epoch 940/1000, Cost: 2.8983\n", + " and the parameters are [-3.24593499 4.36527524] -5.759182211144488 ;\n", + "Epoch 940/1000, Cost: 2.4951\n", + " and the parameters are [-3.24594377 4.36526264] -5.759201676960567 ;\n", + "Epoch 940/1000, Cost: 4.3430\n", + " and the parameters are [-3.24595625 4.36516306] -5.759264264665817 ;\n", + "Epoch 940/1000, Cost: 3.2233\n", + " and the parameters are [-3.24602508 4.36506605] -5.7593122951098685 ;\n", + "Epoch 940/1000, Cost: 3.6015\n", + " and the parameters are [-3.24601728 4.36512465] -5.7592962393551375 ;\n", + "Epoch 940/1000, Cost: 2.5972\n", + " and the parameters are [-3.24608384 4.36509677] -5.759294719046946 ;\n", + "Epoch 940/1000, Cost: 4.0743\n", + " and the parameters are [-3.24600631 4.36515899] -5.759307152876127 ;\n", + "Epoch 940/1000, Cost: 1.3554\n", + " and the parameters are [-3.24603625 4.36513328] -5.7593269074298945 ;\n", + "Epoch 940/1000, Cost: 1.2541\n", + " and the parameters are [-3.24604159 4.36514133] -5.759339176769365 ;\n", + "Epoch 940/1000, Cost: 3.4112\n", + " and the parameters are [-3.24606804 4.36518091] -5.759301103574607 ;\n", + "Epoch 940/1000, Cost: 3.0874\n", + " and the parameters are [-3.24607137 4.3652215 ] -5.759287712546786 ;\n", + "Epoch 940/1000, Cost: 2.5554\n", + " and the parameters are [-3.24604861 4.36526294] -5.759293189282088 ;\n", + "Epoch 940/1000, Cost: 6.7778\n", + " and the parameters are [-3.24601833 4.36528498] -5.75927307789231 ;\n", + "Epoch 940/1000, Cost: 2.3371\n", + " and the parameters are [-3.24606258 4.36531652] -5.759243316736192 ;\n", + "Epoch 950/1000, Cost: 4.8574\n", + " and the parameters are [-3.25370299 4.37486715] -5.772914525230795 ;\n", + "Epoch 950/1000, Cost: 2.2431\n", + " and the parameters are [-3.25368658 4.37490947] -5.772902161669581 ;\n", + "Epoch 950/1000, Cost: 10.6246\n", + " and the parameters are [-3.25374367 4.37468546] -5.772989918274378 ;\n", + "Epoch 950/1000, Cost: 1.6444\n", + " and the parameters are [-3.25378178 4.37463267] -5.773023126701416 ;\n", + "Epoch 950/1000, Cost: 4.6340\n", + " and the parameters are [-3.25377738 4.37463724] -5.773059260027927 ;\n", + "Epoch 950/1000, Cost: 4.4551\n", + " and the parameters are [-3.25376518 4.37465437] -5.773059967167481 ;\n", + "Epoch 950/1000, Cost: 4.1074\n", + " and the parameters are [-3.25380497 4.37454878] -5.7731164849137855 ;\n", + "Epoch 950/1000, Cost: 1.3267\n", + " and the parameters are [-3.25380498 4.37454985] -5.773135327248149 ;\n", + "Epoch 950/1000, Cost: 1.5539\n", + " and the parameters are [-3.25379507 4.37461194] -5.773115254819122 ;\n", + "Epoch 950/1000, Cost: 3.7960\n", + " and the parameters are [-3.25388002 4.37449742] -5.773172354947924 ;\n", + "Epoch 950/1000, Cost: 4.6011\n", + " and the parameters are [-3.25388799 4.374353 ] -5.773286543479161 ;\n", + "Epoch 950/1000, Cost: 7.3212\n", + " and the parameters are [-3.25404401 4.37424123] -5.773281491212209 ;\n", + "Epoch 950/1000, Cost: 3.0771\n", + " and the parameters are [-3.25407844 4.37431163] -5.773239472889405 ;\n", + "Epoch 950/1000, Cost: 2.7175\n", + " and the parameters are [-3.25409555 4.37431572] -5.77324739547504 ;\n", + "Epoch 950/1000, Cost: 4.9325\n", + " and the parameters are [-3.25409266 4.37424869] -5.773290874085983 ;\n", + "Epoch 950/1000, Cost: 4.6757\n", + " and the parameters are [-3.25409308 4.37412924] -5.7733656650439045 ;\n", + "Epoch 950/1000, Cost: 0.8111\n", + " and the parameters are [-3.25411062 4.37415447] -5.773351657698141 ;\n", + "Epoch 950/1000, Cost: 2.3504\n", + " and the parameters are [-3.25406264 4.37424934] -5.77332973801657 ;\n", + "Epoch 950/1000, Cost: 2.7145\n", + " and the parameters are [-3.25407975 4.37430367] -5.773297623885595 ;\n", + "Epoch 950/1000, Cost: 4.8096\n", + " and the parameters are [-3.25409792 4.37446371] -5.773180214632885 ;\n", + "Epoch 950/1000, Cost: 2.9377\n", + " and the parameters are [-3.25410301 4.37439817] -5.773245034001572 ;\n", + "Epoch 950/1000, Cost: 3.8522\n", + " and the parameters are [-3.25408103 4.37446764] -5.7732231311145075 ;\n", + "Epoch 950/1000, Cost: 1.6200\n", + " and the parameters are [-3.25409462 4.3744213 ] -5.773263146087827 ;\n", + "Epoch 950/1000, Cost: 1.6576\n", + " and the parameters are [-3.25405299 4.37446506] -5.773266403897243 ;\n", + "Epoch 950/1000, Cost: 0.7842\n", + " and the parameters are [-3.25405416 4.37446307] -5.773286335817666 ;\n", + "Epoch 950/1000, Cost: 3.1251\n", + " and the parameters are [-3.25412772 4.3744806 ] -5.773249300713997 ;\n", + "Epoch 950/1000, Cost: 3.6451\n", + " and the parameters are [-3.25418639 4.37446884] -5.773245941478286 ;\n", + "Epoch 950/1000, Cost: 3.8104\n", + " and the parameters are [-3.25423182 4.37440193] -5.773278133525851 ;\n", + "Epoch 950/1000, Cost: 1.8471\n", + " and the parameters are [-3.25420226 4.37442345] -5.7732960621191 ;\n", + "Epoch 950/1000, Cost: 3.7224\n", + " and the parameters are [-3.25416377 4.37434891] -5.773384785162946 ;\n", + "Epoch 950/1000, Cost: 5.5147\n", + " and the parameters are [-3.25413076 4.37422033] -5.773500782574704 ;\n", + "Epoch 950/1000, Cost: 3.3661\n", + " and the parameters are [-3.25412928 4.37423179] -5.773496872614786 ;\n", + "Epoch 950/1000, Cost: 2.2649\n", + " and the parameters are [-3.25413586 4.37427443] -5.773489876465128 ;\n", + "Epoch 950/1000, Cost: 0.7403\n", + " and the parameters are [-3.2541385 4.37432569] -5.773465657669619 ;\n", + "Epoch 950/1000, Cost: 5.8931\n", + " and the parameters are [-3.25410607 4.37435476] -5.773453581520457 ;\n", + "Epoch 950/1000, Cost: 2.2922\n", + " and the parameters are [-3.25414281 4.37434928] -5.773452910681613 ;\n", + "Epoch 950/1000, Cost: 2.3104\n", + " and the parameters are [-3.25414695 4.37435541] -5.7734592095450274 ;\n", + "Epoch 950/1000, Cost: 4.0066\n", + " and the parameters are [-3.254132 4.37442527] -5.773427478225473 ;\n", + "Epoch 950/1000, Cost: 4.1819\n", + " and the parameters are [-3.25416502 4.37443574] -5.773414392251518 ;\n", + "Epoch 950/1000, Cost: 3.3052\n", + " and the parameters are [-3.25420115 4.37432545] -5.773499294066749 ;\n", + "Epoch 950/1000, Cost: 1.5578\n", + " and the parameters are [-3.25417812 4.37440253] -5.77347845097956 ;\n", + "Epoch 950/1000, Cost: 3.4380\n", + " and the parameters are [-3.25419303 4.37436032] -5.773515705504106 ;\n", + "Epoch 950/1000, Cost: 7.6593\n", + " and the parameters are [-3.25424911 4.37422358] -5.773565224456077 ;\n", + "Epoch 950/1000, Cost: 0.9568\n", + " and the parameters are [-3.25427836 4.37420652] -5.773580390533966 ;\n", + "Epoch 950/1000, Cost: 2.0063\n", + " and the parameters are [-3.25427262 4.37426774] -5.773568261983241 ;\n", + "Epoch 950/1000, Cost: 2.4073\n", + " and the parameters are [-3.25419141 4.37433485] -5.77358168798137 ;\n", + "Epoch 950/1000, Cost: 0.6670\n", + " and the parameters are [-3.25420283 4.37436464] -5.773570281097293 ;\n", + "Epoch 950/1000, Cost: 2.9934\n", + " and the parameters are [-3.25416672 4.37436282] -5.773610591672124 ;\n", + "Epoch 950/1000, Cost: 4.2788\n", + " and the parameters are [-3.2542082 4.37424572] -5.773680440477133 ;\n", + "Epoch 950/1000, Cost: 5.6959\n", + " and the parameters are [-3.25414144 4.37420101] -5.773738790964957 ;\n", + "Epoch 950/1000, Cost: 3.1510\n", + " and the parameters are [-3.25416042 4.37424549] -5.773703304687735 ;\n", + "Epoch 950/1000, Cost: 1.2744\n", + " and the parameters are [-3.25414086 4.37430599] -5.773687803542537 ;\n", + "Epoch 950/1000, Cost: 1.3998\n", + " and the parameters are [-3.25414636 4.37438382] -5.7736469644408 ;\n", + "Epoch 950/1000, Cost: 1.4605\n", + " and the parameters are [-3.25414744 4.37434639] -5.773698944357555 ;\n", + "Epoch 950/1000, Cost: 2.2680\n", + " and the parameters are [-3.25411681 4.37443352] -5.773665052902618 ;\n", + "Epoch 950/1000, Cost: 0.5105\n", + " and the parameters are [-3.25412922 4.37444728] -5.773662687727408 ;\n", + "Epoch 950/1000, Cost: 1.8006\n", + " and the parameters are [-3.2542196 4.37440651] -5.773665277088618 ;\n", + "Epoch 950/1000, Cost: 3.6681\n", + " and the parameters are [-3.2542023 4.37445376] -5.773654057332499 ;\n", + "Epoch 950/1000, Cost: 0.8334\n", + " and the parameters are [-3.25421671 4.37446001] -5.773660191942403 ;\n", + "Epoch 950/1000, Cost: 1.7449\n", + " and the parameters are [-3.25421356 4.37453163] -5.773632178043185 ;\n", + "Epoch 950/1000, Cost: 4.9394\n", + " and the parameters are [-3.25421644 4.37459765] -5.773568863565849 ;\n", + "Epoch 950/1000, Cost: 1.3071\n", + " and the parameters are [-3.25418296 4.37464 ] -5.77357511502918 ;\n", + "Epoch 950/1000, Cost: 4.5908\n", + " and the parameters are [-3.25422221 4.37468396] -5.773524208841686 ;\n", + "Epoch 950/1000, Cost: 2.5119\n", + " and the parameters are [-3.25414113 4.37468283] -5.773586048335165 ;\n", + "Epoch 950/1000, Cost: 1.9550\n", + " and the parameters are [-3.25413894 4.37476738] -5.773553301876358 ;\n", + "Epoch 950/1000, Cost: 3.8285\n", + " and the parameters are [-3.25410612 4.37489176] -5.773481017777149 ;\n", + "Epoch 950/1000, Cost: 1.2180\n", + " and the parameters are [-3.25411416 4.37490302] -5.773492587577633 ;\n", + "Epoch 950/1000, Cost: 3.2641\n", + " and the parameters are [-3.2541455 4.37491456] -5.773472958335941 ;\n", + "Epoch 950/1000, Cost: 4.4525\n", + " and the parameters are [-3.25406518 4.37483681] -5.773583344380845 ;\n", + "Epoch 950/1000, Cost: 3.9765\n", + " and the parameters are [-3.25411107 4.37466869] -5.773690731354149 ;\n", + "Epoch 950/1000, Cost: 1.8620\n", + " and the parameters are [-3.25413372 4.37470427] -5.773672258164392 ;\n", + "Epoch 950/1000, Cost: 3.9592\n", + " and the parameters are [-3.25406363 4.3749015 ] -5.773580380487539 ;\n", + "Epoch 950/1000, Cost: 1.9275\n", + " and the parameters are [-3.2540671 4.37485518] -5.7736324203238185 ;\n", + "Epoch 950/1000, Cost: 1.0064\n", + " and the parameters are [-3.25406498 4.37489578] -5.773616871782496 ;\n", + "Epoch 950/1000, Cost: 3.3473\n", + " and the parameters are [-3.25406634 4.37500983] -5.773538507170248 ;\n", + "Epoch 950/1000, Cost: 1.2376\n", + " and the parameters are [-3.25408577 4.37496999] -5.773572296995668 ;\n", + "Epoch 950/1000, Cost: 2.1709\n", + " and the parameters are [-3.25407567 4.37494711] -5.773607558824544 ;\n", + "Epoch 950/1000, Cost: 4.7775\n", + " and the parameters are [-3.25407652 4.37512325] -5.773495304254954 ;\n", + "Epoch 950/1000, Cost: 4.0748\n", + " and the parameters are [-3.25416237 4.37506487] -5.773500804162766 ;\n", + "Epoch 950/1000, Cost: 1.6833\n", + " and the parameters are [-3.25414688 4.37509985] -5.773507774008802 ;\n", + "Epoch 950/1000, Cost: 6.9115\n", + " and the parameters are [-3.2542347 4.37505275] -5.773491213482155 ;\n", + "Epoch 950/1000, Cost: 6.9429\n", + " and the parameters are [-3.25417393 4.37510808] -5.7734613203419585 ;\n", + "Epoch 950/1000, Cost: 5.9885\n", + " and the parameters are [-3.25414075 4.37519164] -5.773408476380177 ;\n", + "Epoch 950/1000, Cost: 2.2818\n", + " and the parameters are [-3.25409912 4.37523979] -5.773416541222214 ;\n", + "Epoch 950/1000, Cost: 2.1921\n", + " and the parameters are [-3.25404753 4.3753571 ] -5.77336892329995 ;\n", + "Epoch 950/1000, Cost: 1.1962\n", + " and the parameters are [-3.25408246 4.37537818] -5.773355704637811 ;\n", + "Epoch 950/1000, Cost: 4.1239\n", + " and the parameters are [-3.25413369 4.37527482] -5.773419983071015 ;\n", + "Epoch 950/1000, Cost: 1.5967\n", + " and the parameters are [-3.25414576 4.37534095] -5.773390251213588 ;\n", + "Epoch 950/1000, Cost: 2.1727\n", + " and the parameters are [-3.2540723 4.37535656] -5.773437515611395 ;\n", + "Epoch 950/1000, Cost: 2.3685\n", + " and the parameters are [-3.25405554 4.37546683] -5.773381207490564 ;\n", + "Epoch 950/1000, Cost: 1.8555\n", + " and the parameters are [-3.25403345 4.37546115] -5.773422660326039 ;\n", + "Epoch 950/1000, Cost: 1.0761\n", + " and the parameters are [-3.25405236 4.37544085] -5.773450051262734 ;\n", + "Epoch 950/1000, Cost: 2.4316\n", + " and the parameters are [-3.25404557 4.37542022] -5.7734947470337445 ;\n", + "Epoch 950/1000, Cost: 2.2619\n", + " and the parameters are [-3.25406564 4.37542225] -5.7735072223367 ;\n", + "Epoch 950/1000, Cost: 2.6674\n", + " and the parameters are [-3.25413514 4.37533073] -5.773552859375127 ;\n", + "Epoch 950/1000, Cost: 2.4890\n", + " and the parameters are [-3.25412635 4.37540473] -5.773512278487664 ;\n", + "Epoch 950/1000, Cost: 3.1719\n", + " and the parameters are [-3.2541308 4.37544702] -5.773498628588455 ;\n", + "Epoch 950/1000, Cost: 2.2670\n", + " and the parameters are [-3.25418925 4.37536433] -5.773546392409756 ;\n", + "Epoch 950/1000, Cost: 3.5596\n", + " and the parameters are [-3.25419902 4.37548835] -5.773459836304402 ;\n", + "Epoch 950/1000, Cost: 2.9314\n", + " and the parameters are [-3.25422632 4.3753634 ] -5.773541832858919 ;\n", + "Epoch 950/1000, Cost: 3.6037\n", + " and the parameters are [-3.25424698 4.37544426] -5.773492909831162 ;\n", + "Epoch 950/1000, Cost: 3.9390\n", + " and the parameters are [-3.25426784 4.37537338] -5.773554963212317 ;\n", + "Epoch 950/1000, Cost: 2.4857\n", + " and the parameters are [-3.25429563 4.3753756 ] -5.773549537653831 ;\n", + "Epoch 950/1000, Cost: 4.7678\n", + " and the parameters are [-3.25431025 4.37550967] -5.773452134979078 ;\n", + "Epoch 950/1000, Cost: 1.8684\n", + " and the parameters are [-3.25423794 4.37555 ] -5.773483706474688 ;\n", + "Epoch 950/1000, Cost: 1.5335\n", + " and the parameters are [-3.2542521 4.37554441] -5.773510073005961 ;\n", + "Epoch 950/1000, Cost: 3.3511\n", + " and the parameters are [-3.254257 4.37554686] -5.773518298125968 ;\n", + "Epoch 950/1000, Cost: 3.1479\n", + " and the parameters are [-3.25422549 4.37559145] -5.7735293987803304 ;\n", + "Epoch 950/1000, Cost: 0.7620\n", + " and the parameters are [-3.25422661 4.3756384 ] -5.773510287539007 ;\n", + "Epoch 950/1000, Cost: 1.7664\n", + " and the parameters are [-3.25427303 4.37565328] -5.773491044160633 ;\n", + "Epoch 950/1000, Cost: 3.7707\n", + " and the parameters are [-3.2543485 4.37562296] -5.773474728190715 ;\n", + "Epoch 950/1000, Cost: 0.8691\n", + " and the parameters are [-3.2543685 4.37566624] -5.773446573694108 ;\n", + "Epoch 950/1000, Cost: 2.1030\n", + " and the parameters are [-3.25443906 4.37565968] -5.773440533180793 ;\n", + "Epoch 950/1000, Cost: 2.2926\n", + " and the parameters are [-3.25443255 4.37575351] -5.773399271697827 ;\n", + "Epoch 950/1000, Cost: 2.0826\n", + " and the parameters are [-3.25439646 4.37575112] -5.773440447275458 ;\n", + "Epoch 950/1000, Cost: 0.7071\n", + " and the parameters are [-3.25439902 4.37575914] -5.773449747995522 ;\n", + "Epoch 950/1000, Cost: 3.1295\n", + " and the parameters are [-3.25444967 4.37572703] -5.773464398177161 ;\n", + "Epoch 950/1000, Cost: 1.3994\n", + " and the parameters are [-3.25442173 4.37578008] -5.773458791271763 ;\n", + "Epoch 950/1000, Cost: 3.0083\n", + " and the parameters are [-3.25440936 4.37588555] -5.773397764123926 ;\n", + "Epoch 950/1000, Cost: 2.1252\n", + " and the parameters are [-3.25444893 4.37584697] -5.7734369474358775 ;\n", + "Epoch 950/1000, Cost: 4.9903\n", + " and the parameters are [-3.2544044 4.37577973] -5.77352452778673 ;\n", + "Epoch 950/1000, Cost: 2.1136\n", + " and the parameters are [-3.25442248 4.3758136 ] -5.773493769036654 ;\n", + "Epoch 950/1000, Cost: 3.0977\n", + " and the parameters are [-3.25452811 4.37570887] -5.77354178235481 ;\n", + "Epoch 950/1000, Cost: 3.7347\n", + " and the parameters are [-3.25456199 4.37579397] -5.773483942296027 ;\n", + "Epoch 950/1000, Cost: 4.5340\n", + " and the parameters are [-3.25451549 4.37577022] -5.773538504874132 ;\n", + "Epoch 950/1000, Cost: 2.5397\n", + " and the parameters are [-3.25451982 4.37578084] -5.773544037819432 ;\n", + "Epoch 950/1000, Cost: 2.6061\n", + " and the parameters are [-3.25451162 4.3758161 ] -5.773548970465131 ;\n", + "Epoch 950/1000, Cost: 6.2029\n", + " and the parameters are [-3.25454283 4.37565919] -5.773633408988635 ;\n", + "Epoch 950/1000, Cost: 2.1630\n", + " and the parameters are [-3.25459246 4.3756837 ] -5.773604812724974 ;\n", + "Epoch 950/1000, Cost: 1.4052\n", + " and the parameters are [-3.25458312 4.37576399] -5.77356940093465 ;\n", + "Epoch 950/1000, Cost: 1.1737\n", + " and the parameters are [-3.25454915 4.37576887] -5.773596144875093 ;\n", + "Epoch 950/1000, Cost: 1.9046\n", + " and the parameters are [-3.25453623 4.37582131] -5.773590647282391 ;\n", + "Epoch 950/1000, Cost: 0.9159\n", + " and the parameters are [-3.25453695 4.37584179] -5.773592934059673 ;\n", + "Epoch 950/1000, Cost: 5.5490\n", + " and the parameters are [-3.25452184 4.37597043] -5.7734885916511995 ;\n", + "Epoch 950/1000, Cost: 1.7873\n", + " and the parameters are [-3.25447575 4.37607424] -5.773460759206401 ;\n", + "Epoch 950/1000, Cost: 3.1398\n", + " and the parameters are [-3.25451835 4.37615809] -5.7734001797227785 ;\n", + "Epoch 950/1000, Cost: 5.7740\n", + " and the parameters are [-3.25448695 4.37609454] -5.7734583971351565 ;\n", + "Epoch 950/1000, Cost: 9.4214\n", + " and the parameters are [-3.25449473 4.37612583] -5.773383631924986 ;\n", + "Epoch 950/1000, Cost: 1.2249\n", + " and the parameters are [-3.25449413 4.37618688] -5.773353277543782 ;\n", + "Epoch 950/1000, Cost: 1.2958\n", + " and the parameters are [-3.25451883 4.37615328] -5.773390759564894 ;\n", + "Epoch 950/1000, Cost: 2.1836\n", + " and the parameters are [-3.25451032 4.37615261] -5.773407329282874 ;\n", + "Epoch 950/1000, Cost: 3.5400\n", + " and the parameters are [-3.25454058 4.37610081] -5.773453574074167 ;\n", + "Epoch 950/1000, Cost: 4.7298\n", + " and the parameters are [-3.25454851 4.37606376] -5.773509506271874 ;\n", + "Epoch 950/1000, Cost: 3.5718\n", + " and the parameters are [-3.25451097 4.37615244] -5.7734738412738045 ;\n", + "Epoch 950/1000, Cost: 7.7085\n", + " and the parameters are [-3.25449856 4.37618487] -5.773435291611886 ;\n", + "Epoch 950/1000, Cost: 9.0182\n", + " and the parameters are [-3.25446625 4.37621355] -5.7733931378788235 ;\n", + "Epoch 950/1000, Cost: 4.1509\n", + " and the parameters are [-3.25450014 4.37614034] -5.773430422059366 ;\n", + "Epoch 950/1000, Cost: 2.1339\n", + " and the parameters are [-3.25447168 4.37616212] -5.773453964119469 ;\n", + "Epoch 950/1000, Cost: 1.4734\n", + " and the parameters are [-3.25444192 4.37625349] -5.773417114069433 ;\n", + "Epoch 950/1000, Cost: 2.4133\n", + " and the parameters are [-3.25442012 4.3762736 ] -5.77343396221432 ;\n", + "Epoch 950/1000, Cost: 1.7468\n", + " and the parameters are [-3.25444194 4.37629936] -5.773417514272954 ;\n", + "Epoch 950/1000, Cost: 4.0851\n", + " and the parameters are [-3.25452365 4.37625353] -5.773436516222065 ;\n", + "Epoch 950/1000, Cost: 3.8001\n", + " and the parameters are [-3.25452059 4.37627644] -5.773423879189915 ;\n", + "Epoch 950/1000, Cost: 3.8586\n", + " and the parameters are [-3.25453002 4.3762283 ] -5.7734439785715805 ;\n", + "Epoch 950/1000, Cost: 2.6946\n", + " and the parameters are [-3.25449918 4.37621731] -5.773481898651909 ;\n", + "Epoch 950/1000, Cost: 1.5007\n", + " and the parameters are [-3.25448668 4.37622119] -5.773504456358541 ;\n", + "Epoch 950/1000, Cost: 1.7208\n", + " and the parameters are [-3.25451886 4.37621266] -5.77351673903971 ;\n", + "Epoch 950/1000, Cost: 1.0417\n", + " and the parameters are [-3.25454237 4.37622766] -5.773508744651278 ;\n", + "Epoch 950/1000, Cost: 6.5877\n", + " and the parameters are [-3.25456492 4.37613864] -5.773551213983529 ;\n", + "Epoch 950/1000, Cost: 3.7141\n", + " and the parameters are [-3.25452864 4.37619337] -5.773547502141575 ;\n", + "Epoch 950/1000, Cost: 3.4282\n", + " and the parameters are [-3.25458682 4.37616683] -5.773555224482005 ;\n", + "Epoch 950/1000, Cost: 3.2848\n", + " and the parameters are [-3.25458275 4.37613664] -5.7735972039743055 ;\n", + "Epoch 950/1000, Cost: 2.1700\n", + " and the parameters are [-3.25457763 4.3761033 ] -5.773641648207515 ;\n", + "Epoch 950/1000, Cost: 1.5919\n", + " and the parameters are [-3.25460093 4.37606064] -5.773684598685626 ;\n", + "Epoch 950/1000, Cost: 1.1110\n", + " and the parameters are [-3.25463041 4.37602222] -5.773716576339457 ;\n", + "Epoch 950/1000, Cost: 2.3718\n", + " and the parameters are [-3.25458706 4.3761 ] -5.773698571630772 ;\n", + "Epoch 950/1000, Cost: 1.7278\n", + " and the parameters are [-3.25462648 4.37601675] -5.773743354529659 ;\n", + "Epoch 950/1000, Cost: 3.0943\n", + " and the parameters are [-3.25471026 4.37606365] -5.7736795211838245 ;\n", + "Epoch 950/1000, Cost: 1.2899\n", + " and the parameters are [-3.25466033 4.37613341] -5.7736783235503 ;\n", + "Epoch 950/1000, Cost: 1.1675\n", + " and the parameters are [-3.2546221 4.37614432] -5.773712137086397 ;\n", + "Epoch 950/1000, Cost: 3.0489\n", + " and the parameters are [-3.25461236 4.37618668] -5.773703423569044 ;\n", + "Epoch 950/1000, Cost: 2.3112\n", + " and the parameters are [-3.25463557 4.37613827] -5.7737501685822314 ;\n", + "Epoch 950/1000, Cost: 1.0333\n", + " and the parameters are [-3.25465173 4.37613176] -5.773763502268284 ;\n", + "Epoch 950/1000, Cost: 2.9411\n", + " and the parameters are [-3.25460788 4.37613394] -5.773801456090868 ;\n", + "Epoch 950/1000, Cost: 5.1975\n", + " and the parameters are [-3.2545126 4.37618234] -5.773804683473874 ;\n", + "Epoch 950/1000, Cost: 1.3636\n", + " and the parameters are [-3.25452254 4.37620553] -5.773805531632146 ;\n", + "Epoch 950/1000, Cost: 5.5323\n", + " and the parameters are [-3.25452841 4.37622707] -5.773769279155968 ;\n", + "Epoch 950/1000, Cost: 2.2879\n", + " and the parameters are [-3.25451722 4.37628137] -5.773756042972785 ;\n", + "Epoch 950/1000, Cost: 1.2145\n", + " and the parameters are [-3.25448852 4.37627797] -5.773796153195994 ;\n", + "Epoch 950/1000, Cost: 5.1371\n", + " and the parameters are [-3.25439739 4.3763261 ] -5.773808672857137 ;\n", + "Epoch 950/1000, Cost: 2.5433\n", + " and the parameters are [-3.25448777 4.37632345] -5.7737779385125085 ;\n", + "Epoch 950/1000, Cost: 2.0130\n", + " and the parameters are [-3.25447418 4.37640599] -5.773745252228431 ;\n", + "Epoch 950/1000, Cost: 1.4565\n", + " and the parameters are [-3.25446114 4.37638721] -5.77378914599079 ;\n", + "Epoch 950/1000, Cost: 1.3230\n", + " and the parameters are [-3.25449067 4.376374 ] -5.773803517924444 ;\n", + "Epoch 950/1000, Cost: 3.5409\n", + " and the parameters are [-3.25447902 4.376313 ] -5.7738729402907145 ;\n", + "Epoch 950/1000, Cost: 1.9207\n", + " and the parameters are [-3.25453894 4.37619848] -5.7739424502102725 ;\n", + "Epoch 950/1000, Cost: 2.1934\n", + " and the parameters are [-3.25452861 4.37620437] -5.773970283373798 ;\n", + "Epoch 950/1000, Cost: 2.6376\n", + " and the parameters are [-3.25446381 4.37627945] -5.773969391285519 ;\n", + "Epoch 950/1000, Cost: 3.8014\n", + " and the parameters are [-3.25452343 4.37623721] -5.773986554692095 ;\n", + "Epoch 950/1000, Cost: 1.5884\n", + " and the parameters are [-3.25455552 4.37620739] -5.774015419565772 ;\n", + "Epoch 950/1000, Cost: 2.4376\n", + " and the parameters are [-3.2546337 4.37618041] -5.774018438773403 ;\n", + "Epoch 950/1000, Cost: 3.3685\n", + " and the parameters are [-3.25460896 4.37613186] -5.774098020080069 ;\n", + "Epoch 950/1000, Cost: 2.3731\n", + " and the parameters are [-3.2546332 4.37606563] -5.774155956805866 ;\n", + "Epoch 950/1000, Cost: 1.7487\n", + " and the parameters are [-3.25468878 4.37607448] -5.774132055040809 ;\n", + "Epoch 950/1000, Cost: 4.1332\n", + " and the parameters are [-3.25462057 4.37604515] -5.774188648626371 ;\n", + "Epoch 950/1000, Cost: 1.7671\n", + " and the parameters are [-3.25460014 4.37606823] -5.7742024786722705 ;\n", + "Epoch 950/1000, Cost: 4.1825\n", + " and the parameters are [-3.25456174 4.37604832] -5.774252049958638 ;\n", + "Epoch 950/1000, Cost: 2.3533\n", + " and the parameters are [-3.25453056 4.37607892] -5.774272144851921 ;\n", + "Epoch 950/1000, Cost: 3.3194\n", + " and the parameters are [-3.25452603 4.3761988 ] -5.774209450361853 ;\n", + "Epoch 950/1000, Cost: 4.4233\n", + " and the parameters are [-3.25452425 4.37606064] -5.7743318492548905 ;\n", + "Epoch 960/1000, Cost: 7.2059\n", + " and the parameters are [-3.26206886 4.3855175 ] -5.7878378543973605 ;\n", + "Epoch 960/1000, Cost: 4.5161\n", + " and the parameters are [-3.26204209 4.38539242] -5.787934382947161 ;\n", + "Epoch 960/1000, Cost: 0.9241\n", + " and the parameters are [-3.26205769 4.38541745] -5.787926206790391 ;\n", + "Epoch 960/1000, Cost: 1.6939\n", + " and the parameters are [-3.26208338 4.38535007] -5.787973924908897 ;\n", + "Epoch 960/1000, Cost: 3.2158\n", + " and the parameters are [-3.26206504 4.38551057] -5.787883386507404 ;\n", + "Epoch 960/1000, Cost: 5.3358\n", + " and the parameters are [-3.26212354 4.38539703] -5.78793570079405 ;\n", + "Epoch 960/1000, Cost: 2.0275\n", + " and the parameters are [-3.26210489 4.38548541] -5.787893787891211 ;\n", + "Epoch 960/1000, Cost: 1.5078\n", + " and the parameters are [-3.2620745 4.38555215] -5.787887305086994 ;\n", + "Epoch 960/1000, Cost: 4.1230\n", + " and the parameters are [-3.26218673 4.3854773 ] -5.787881550913351 ;\n", + "Epoch 960/1000, Cost: 1.8691\n", + " and the parameters are [-3.26220166 4.38547351] -5.78789872482714 ;\n", + "Epoch 960/1000, Cost: 1.7333\n", + " and the parameters are [-3.26220634 4.38548402] -5.7879143040496075 ;\n", + "Epoch 960/1000, Cost: 2.2110\n", + " and the parameters are [-3.26220516 4.38552348] -5.787917793248135 ;\n", + "Epoch 960/1000, Cost: 2.2892\n", + " and the parameters are [-3.2621927 4.38556776] -5.787910447123705 ;\n", + "Epoch 960/1000, Cost: 2.7074\n", + " and the parameters are [-3.26220822 4.38553761] -5.787946344994536 ;\n", + "Epoch 960/1000, Cost: 1.9367\n", + " and the parameters are [-3.2622339 4.38554854] -5.787952832687791 ;\n", + "Epoch 960/1000, Cost: 3.8181\n", + " and the parameters are [-3.26224713 4.38553648] -5.787962007216392 ;\n", + "Epoch 960/1000, Cost: 2.8640\n", + " and the parameters are [-3.26225732 4.38546529] -5.788033016708427 ;\n", + "Epoch 960/1000, Cost: 2.6210\n", + " and the parameters are [-3.26223402 4.38542387] -5.788087382189624 ;\n", + "Epoch 960/1000, Cost: 2.5760\n", + " and the parameters are [-3.26226146 4.38548762] -5.788040418625259 ;\n", + "Epoch 960/1000, Cost: 7.2658\n", + " and the parameters are [-3.26224269 4.38542402] -5.788084062724242 ;\n", + "Epoch 960/1000, Cost: 4.7161\n", + " and the parameters are [-3.26218564 4.38555507] -5.7880291469729475 ;\n", + "Epoch 960/1000, Cost: 1.3724\n", + " and the parameters are [-3.26219272 4.38563777] -5.787986762253429 ;\n", + "Epoch 960/1000, Cost: 1.7367\n", + " and the parameters are [-3.26215556 4.38567638] -5.787999359343907 ;\n", + "Epoch 960/1000, Cost: 2.0484\n", + " and the parameters are [-3.2621538 4.38574395] -5.787976297279192 ;\n", + "Epoch 960/1000, Cost: 2.1820\n", + " and the parameters are [-3.26219505 4.3857186 ] -5.787997470672006 ;\n", + "Epoch 960/1000, Cost: 3.1511\n", + " and the parameters are [-3.26216065 4.38582004] -5.787964156134095 ;\n", + "Epoch 960/1000, Cost: 8.3399\n", + " and the parameters are [-3.26214562 4.38553276] -5.788164531757695 ;\n", + "Epoch 960/1000, Cost: 4.1259\n", + " and the parameters are [-3.2620888 4.38555359] -5.788190954491998 ;\n", + "Epoch 960/1000, Cost: 4.2754\n", + " and the parameters are [-3.26206821 4.38553109] -5.788231932141985 ;\n", + "Epoch 960/1000, Cost: 2.5920\n", + " and the parameters are [-3.26206054 4.3855357 ] -5.7882548437928305 ;\n", + "Epoch 960/1000, Cost: 1.7514\n", + " and the parameters are [-3.26203153 4.38555585] -5.788282184957834 ;\n", + "Epoch 960/1000, Cost: 2.0811\n", + " and the parameters are [-3.26201827 4.38555716] -5.788307886110699 ;\n", + "Epoch 960/1000, Cost: 3.7953\n", + " and the parameters are [-3.26208394 4.38550897] -5.788310561217499 ;\n", + "Epoch 960/1000, Cost: 2.0080\n", + " and the parameters are [-3.26209816 4.3854665 ] -5.788358639139913 ;\n", + "Epoch 960/1000, Cost: 2.5198\n", + " and the parameters are [-3.26212308 4.38546182] -5.788367240241886 ;\n", + "Epoch 960/1000, Cost: 2.2521\n", + " and the parameters are [-3.26209546 4.38549504] -5.788382467964885 ;\n", + "Epoch 960/1000, Cost: 7.7873\n", + " and the parameters are [-3.2621311 4.38533474] -5.788461066365083 ;\n", + "Epoch 960/1000, Cost: 1.9866\n", + " and the parameters are [-3.26214674 4.38527953] -5.788504994570638 ;\n", + "Epoch 960/1000, Cost: 0.9597\n", + " and the parameters are [-3.26214362 4.38533622] -5.788483618154292 ;\n", + "Epoch 960/1000, Cost: 5.3313\n", + " and the parameters are [-3.2622046 4.38535682] -5.78843444894005 ;\n", + "Epoch 960/1000, Cost: 3.1121\n", + " and the parameters are [-3.26228744 4.38520761] -5.788508727720919 ;\n", + "Epoch 960/1000, Cost: 7.9474\n", + " and the parameters are [-3.26224901 4.38505158] -5.788628699162031 ;\n", + "Epoch 960/1000, Cost: 3.3768\n", + " and the parameters are [-3.26227073 4.38508956] -5.788595484669726 ;\n", + "Epoch 960/1000, Cost: 5.2939\n", + " and the parameters are [-3.26226859 4.38511453] -5.788573612415283 ;\n", + "Epoch 960/1000, Cost: 2.6255\n", + " and the parameters are [-3.26230065 4.38506279] -5.788613928809764 ;\n", + "Epoch 960/1000, Cost: 4.7616\n", + " and the parameters are [-3.26233678 4.38498842] -5.788663753536166 ;\n", + "Epoch 960/1000, Cost: 3.6252\n", + " and the parameters are [-3.26233178 4.3850646 ] -5.788607615585483 ;\n", + "Epoch 960/1000, Cost: 4.7127\n", + " and the parameters are [-3.26223081 4.38525794] -5.788523296185368 ;\n", + "Epoch 960/1000, Cost: 1.6496\n", + " and the parameters are [-3.26224982 4.38521825] -5.788556270109089 ;\n", + "Epoch 960/1000, Cost: 7.2583\n", + " and the parameters are [-3.26235313 4.38519452] -5.788504609180894 ;\n", + "Epoch 960/1000, Cost: 1.0105\n", + " and the parameters are [-3.26236182 4.38518164] -5.788527549568188 ;\n", + "Epoch 960/1000, Cost: 1.8900\n", + " and the parameters are [-3.26237066 4.38519823] -5.788532773761489 ;\n", + "Epoch 960/1000, Cost: 7.4174\n", + " and the parameters are [-3.26227942 4.38533914] -5.788457358845325 ;\n", + "Epoch 960/1000, Cost: 3.1346\n", + " and the parameters are [-3.2623489 4.38535342] -5.788418762680318 ;\n", + "Epoch 960/1000, Cost: 2.6419\n", + " and the parameters are [-3.26237597 4.38529265] -5.788473749421961 ;\n", + "Epoch 960/1000, Cost: 1.2220\n", + " and the parameters are [-3.26240072 4.38532559] -5.788446607023022 ;\n", + "Epoch 960/1000, Cost: 2.1331\n", + " and the parameters are [-3.26239444 4.38531376] -5.788487056530411 ;\n", + "Epoch 960/1000, Cost: 7.3783\n", + " and the parameters are [-3.26249091 4.3851711 ] -5.7885212514843065 ;\n", + "Epoch 960/1000, Cost: 2.8329\n", + " and the parameters are [-3.26255367 4.38518322] -5.788492734121928 ;\n", + "Epoch 960/1000, Cost: 1.8786\n", + " and the parameters are [-3.26255326 4.38523335] -5.788475560878529 ;\n", + "Epoch 960/1000, Cost: 1.4556\n", + " and the parameters are [-3.26255068 4.38520734] -5.788512697001083 ;\n", + "Epoch 960/1000, Cost: 3.9377\n", + " and the parameters are [-3.26258141 4.38512702] -5.78857459781029 ;\n", + "Epoch 960/1000, Cost: 2.6878\n", + " and the parameters are [-3.26259073 4.38522803] -5.788519910067495 ;\n", + "Epoch 960/1000, Cost: 1.9228\n", + " and the parameters are [-3.26260298 4.38520096] -5.788540837748327 ;\n", + "Epoch 960/1000, Cost: 2.8370\n", + " and the parameters are [-3.26255433 4.38526919] -5.788527129395904 ;\n", + "Epoch 960/1000, Cost: 1.6987\n", + " and the parameters are [-3.26255366 4.38529361] -5.7885366456184 ;\n", + "Epoch 960/1000, Cost: 4.7121\n", + " and the parameters are [-3.26249003 4.38537974] -5.7885086910727175 ;\n", + "Epoch 960/1000, Cost: 1.5300\n", + " and the parameters are [-3.26246896 4.38537289] -5.788549503148276 ;\n", + "Epoch 960/1000, Cost: 5.2062\n", + " and the parameters are [-3.26240659 4.38552346] -5.788451487281648 ;\n", + "Epoch 960/1000, Cost: 1.1201\n", + " and the parameters are [-3.26237855 4.38557653] -5.78844673140083 ;\n", + "Epoch 960/1000, Cost: 1.5920\n", + " and the parameters are [-3.26237782 4.38560508] -5.788444175816262 ;\n", + "Epoch 960/1000, Cost: 1.4334\n", + " and the parameters are [-3.26237371 4.38568032] -5.788405081647285 ;\n", + "Epoch 960/1000, Cost: 5.1239\n", + " and the parameters are [-3.26237358 4.38559778] -5.788477740062695 ;\n", + "Epoch 960/1000, Cost: 1.9402\n", + " and the parameters are [-3.26233353 4.38571521] -5.7884304751896964 ;\n", + "Epoch 960/1000, Cost: 2.4891\n", + " and the parameters are [-3.26237306 4.38576842] -5.788387184043685 ;\n", + "Epoch 960/1000, Cost: 2.0075\n", + " and the parameters are [-3.26242618 4.385753 ] -5.788394053068906 ;\n", + "Epoch 960/1000, Cost: 5.1846\n", + " and the parameters are [-3.26243223 4.38564535] -5.7884594565992025 ;\n", + "Epoch 960/1000, Cost: 1.9398\n", + " and the parameters are [-3.26242151 4.38572002] -5.7884215354240185 ;\n", + "Epoch 960/1000, Cost: 1.6055\n", + " and the parameters are [-3.26237435 4.38583235] -5.788378168626799 ;\n", + "Epoch 960/1000, Cost: 4.1017\n", + " and the parameters are [-3.26240847 4.38588553] -5.788322580943967 ;\n", + "Epoch 960/1000, Cost: 1.2597\n", + " and the parameters are [-3.26237379 4.38595095] -5.788313933307898 ;\n", + "Epoch 960/1000, Cost: 3.0781\n", + " and the parameters are [-3.26239899 4.3858187 ] -5.78840755829734 ;\n", + "Epoch 960/1000, Cost: 3.6469\n", + " and the parameters are [-3.26238832 4.38582065] -5.788436672818328 ;\n", + "Epoch 960/1000, Cost: 2.3503\n", + " and the parameters are [-3.26247468 4.38572069] -5.788479394392067 ;\n", + "Epoch 960/1000, Cost: 3.1774\n", + " and the parameters are [-3.2625187 4.38574565] -5.788453395949168 ;\n", + "Epoch 960/1000, Cost: 3.2029\n", + " and the parameters are [-3.26253462 4.38577057] -5.788436678970091 ;\n", + "Epoch 960/1000, Cost: 2.0995\n", + " and the parameters are [-3.26252165 4.38581573] -5.7884436053994675 ;\n", + "Epoch 960/1000, Cost: 5.0668\n", + " and the parameters are [-3.26253561 4.38581667] -5.7884412062073345 ;\n", + "Epoch 960/1000, Cost: 1.2153\n", + " and the parameters are [-3.26256396 4.38581113] -5.788450647748081 ;\n", + "Epoch 960/1000, Cost: 1.8920\n", + " and the parameters are [-3.26256099 4.38584052] -5.788448509523361 ;\n", + "Epoch 960/1000, Cost: 1.2795\n", + " and the parameters are [-3.26255808 4.3858206 ] -5.788489305581005 ;\n", + "Epoch 960/1000, Cost: 1.8383\n", + " and the parameters are [-3.26257941 4.38575948] -5.788545418704793 ;\n", + "Epoch 960/1000, Cost: 1.1563\n", + " and the parameters are [-3.26256137 4.38575429] -5.78857651593161 ;\n", + "Epoch 960/1000, Cost: 1.7663\n", + " and the parameters are [-3.26256811 4.38571145] -5.788630737854889 ;\n", + "Epoch 960/1000, Cost: 5.0113\n", + " and the parameters are [-3.26259182 4.38577685] -5.788586993455003 ;\n", + "Epoch 960/1000, Cost: 1.0015\n", + " and the parameters are [-3.26261668 4.38577672] -5.788594784706217 ;\n", + "Epoch 960/1000, Cost: 0.8123\n", + " and the parameters are [-3.26262496 4.38578794] -5.788599586539652 ;\n", + "Epoch 960/1000, Cost: 2.1853\n", + " and the parameters are [-3.26261898 4.38579358] -5.788625944251694 ;\n", + "Epoch 960/1000, Cost: 4.8346\n", + " and the parameters are [-3.26252448 4.38590415] -5.7886042990526505 ;\n", + "Epoch 960/1000, Cost: 4.8572\n", + " and the parameters are [-3.26249738 4.38592464] -5.78862733673148 ;\n", + "Epoch 960/1000, Cost: 0.4992\n", + " and the parameters are [-3.26250719 4.38591805] -5.788639612640371 ;\n", + "Epoch 960/1000, Cost: 5.5399\n", + " and the parameters are [-3.26250378 4.38599931] -5.788569358516573 ;\n", + "Epoch 960/1000, Cost: 2.8761\n", + " and the parameters are [-3.26254098 4.38599651] -5.788568886093227 ;\n", + "Epoch 960/1000, Cost: 2.8815\n", + " and the parameters are [-3.26249101 4.38614324] -5.788498925872723 ;\n", + "Epoch 960/1000, Cost: 3.5259\n", + " and the parameters are [-3.26248473 4.3860998 ] -5.788552723012116 ;\n", + "Epoch 960/1000, Cost: 2.5340\n", + " and the parameters are [-3.26243616 4.38613736] -5.788572364099204 ;\n", + "Epoch 960/1000, Cost: 3.4399\n", + " and the parameters are [-3.26242997 4.38618794] -5.788563949299172 ;\n", + "Epoch 960/1000, Cost: 2.0683\n", + " and the parameters are [-3.26243123 4.38615437] -5.788609714259048 ;\n", + "Epoch 960/1000, Cost: 1.5447\n", + " and the parameters are [-3.2624587 4.38613837] -5.788626492505037 ;\n", + "Epoch 960/1000, Cost: 1.2412\n", + " and the parameters are [-3.26244941 4.3861762 ] -5.7886246277181055 ;\n", + "Epoch 960/1000, Cost: 2.0820\n", + " and the parameters are [-3.26244895 4.38623803] -5.788602386306591 ;\n", + "Epoch 960/1000, Cost: 0.6983\n", + " and the parameters are [-3.26243491 4.3862661 ] -5.788606486295376 ;\n", + "Epoch 960/1000, Cost: 2.9767\n", + " and the parameters are [-3.26245673 4.38622984] -5.788633794486985 ;\n", + "Epoch 960/1000, Cost: 4.5407\n", + " and the parameters are [-3.26242485 4.38628692] -5.788607433701403 ;\n", + "Epoch 960/1000, Cost: 3.6085\n", + " and the parameters are [-3.26237882 4.3862391 ] -5.788683183916853 ;\n", + "Epoch 960/1000, Cost: 2.3695\n", + " and the parameters are [-3.26237197 4.38626879] -5.788684307259619 ;\n", + "Epoch 960/1000, Cost: 3.3164\n", + " and the parameters are [-3.26236827 4.38633664] -5.7886526588877985 ;\n", + "Epoch 960/1000, Cost: 1.1866\n", + " and the parameters are [-3.2623423 4.38638999] -5.788649987807593 ;\n", + "Epoch 960/1000, Cost: 2.5256\n", + " and the parameters are [-3.26238882 4.38640783] -5.788632869437103 ;\n", + "Epoch 960/1000, Cost: 2.1134\n", + " and the parameters are [-3.26238549 4.38643467] -5.788637027315696 ;\n", + "Epoch 960/1000, Cost: 4.1228\n", + " and the parameters are [-3.26242524 4.38643103] -5.7886169601401685 ;\n", + "Epoch 960/1000, Cost: 5.3038\n", + " and the parameters are [-3.26239897 4.38635675] -5.788686712886291 ;\n", + "Epoch 960/1000, Cost: 1.8014\n", + " and the parameters are [-3.26244291 4.38629517] -5.788727575701815 ;\n", + "Epoch 960/1000, Cost: 1.3349\n", + " and the parameters are [-3.26245706 4.3862775 ] -5.7887524494005085 ;\n", + "Epoch 960/1000, Cost: 1.5953\n", + " and the parameters are [-3.26242078 4.38639992] -5.788700082289909 ;\n", + "Epoch 960/1000, Cost: 3.8439\n", + " and the parameters are [-3.26237851 4.38640448] -5.788720847939942 ;\n", + "Epoch 960/1000, Cost: 0.4862\n", + " and the parameters are [-3.26237672 4.38641683] -5.788724420637301 ;\n", + "Epoch 960/1000, Cost: 6.1562\n", + " and the parameters are [-3.26244476 4.38628217] -5.788792221101268 ;\n", + "Epoch 960/1000, Cost: 2.3518\n", + " and the parameters are [-3.26251002 4.38614422] -5.788880161093892 ;\n", + "Epoch 960/1000, Cost: 3.6617\n", + " and the parameters are [-3.26253713 4.38607587] -5.78894595334786 ;\n", + "Epoch 960/1000, Cost: 4.2690\n", + " and the parameters are [-3.26256613 4.38603092] -5.788968557688639 ;\n", + "Epoch 960/1000, Cost: 1.7502\n", + " and the parameters are [-3.26257543 4.3860387 ] -5.788982366565177 ;\n", + "Epoch 960/1000, Cost: 3.0138\n", + " and the parameters are [-3.26262091 4.38598764] -5.788994583232726 ;\n", + "Epoch 960/1000, Cost: 2.5561\n", + " and the parameters are [-3.26267399 4.38589658] -5.78903462082269 ;\n", + "Epoch 960/1000, Cost: 1.3693\n", + " and the parameters are [-3.26269212 4.38586032] -5.789073649126317 ;\n", + "Epoch 960/1000, Cost: 1.3084\n", + " and the parameters are [-3.2626703 4.38586368] -5.789098579933509 ;\n", + "Epoch 960/1000, Cost: 3.4151\n", + " and the parameters are [-3.26260368 4.38589301] -5.78913399977416 ;\n", + "Epoch 960/1000, Cost: 2.1647\n", + " and the parameters are [-3.26263715 4.38584979] -5.789170116686192 ;\n", + "Epoch 960/1000, Cost: 2.8668\n", + " and the parameters are [-3.26273367 4.38577953] -5.789185856766063 ;\n", + "Epoch 960/1000, Cost: 4.9884\n", + " and the parameters are [-3.26267799 4.38583641] -5.789164659406002 ;\n", + "Epoch 960/1000, Cost: 3.0739\n", + " and the parameters are [-3.26272724 4.38576082] -5.789215908408223 ;\n", + "Epoch 960/1000, Cost: 3.5507\n", + " and the parameters are [-3.26271136 4.38585133] -5.789170304488117 ;\n", + "Epoch 960/1000, Cost: 2.6315\n", + " and the parameters are [-3.26270972 4.3858573 ] -5.789200679738034 ;\n", + "Epoch 960/1000, Cost: 2.0483\n", + " and the parameters are [-3.26270445 4.38592741] -5.789168693236902 ;\n", + "Epoch 960/1000, Cost: 1.1316\n", + " and the parameters are [-3.26270831 4.38596321] -5.789162817544695 ;\n", + "Epoch 960/1000, Cost: 5.8464\n", + " and the parameters are [-3.26260781 4.38601424] -5.789167329663517 ;\n", + "Epoch 960/1000, Cost: 2.1817\n", + " and the parameters are [-3.26259735 4.38604481] -5.789183441571507 ;\n", + "Epoch 960/1000, Cost: 0.9432\n", + " and the parameters are [-3.26258083 4.38607633] -5.789190043037103 ;\n", + "Epoch 960/1000, Cost: 2.1704\n", + " and the parameters are [-3.26258659 4.38612926] -5.789158516781722 ;\n", + "Epoch 960/1000, Cost: 3.6626\n", + " and the parameters are [-3.26263079 4.38605897] -5.7891948955195875 ;\n", + "Epoch 960/1000, Cost: 1.4447\n", + " and the parameters are [-3.26257723 4.38607604] -5.789227239287685 ;\n", + "Epoch 960/1000, Cost: 1.1319\n", + " and the parameters are [-3.26259926 4.38602806] -5.7892674221383205 ;\n", + "Epoch 960/1000, Cost: 2.6571\n", + " and the parameters are [-3.26259547 4.38605561] -5.789266994891565 ;\n", + "Epoch 960/1000, Cost: 3.4606\n", + " and the parameters are [-3.26258834 4.38615621] -5.78920600643854 ;\n", + "Epoch 960/1000, Cost: 5.6483\n", + " and the parameters are [-3.26251053 4.38610879] -5.789273671857536 ;\n", + "Epoch 960/1000, Cost: 5.5543\n", + " and the parameters are [-3.26264084 4.38601942] -5.789258929235959 ;\n", + "Epoch 960/1000, Cost: 1.6336\n", + " and the parameters are [-3.26269471 4.3860296 ] -5.789242845228601 ;\n", + "Epoch 960/1000, Cost: 2.3467\n", + " and the parameters are [-3.2627191 4.38602604] -5.78925029653529 ;\n", + "Epoch 960/1000, Cost: 3.3096\n", + " and the parameters are [-3.26267209 4.38610239] -5.789244420756791 ;\n", + "Epoch 960/1000, Cost: 1.8262\n", + " and the parameters are [-3.26266997 4.38610532] -5.789271324680521 ;\n", + "Epoch 960/1000, Cost: 0.9705\n", + " and the parameters are [-3.2626557 4.38616255] -5.789254805542251 ;\n", + "Epoch 960/1000, Cost: 2.3524\n", + " and the parameters are [-3.26265057 4.38623497] -5.7892230840107946 ;\n", + "Epoch 960/1000, Cost: 2.8247\n", + " and the parameters are [-3.26263749 4.38636608] -5.789151613196133 ;\n", + "Epoch 960/1000, Cost: 3.5964\n", + " and the parameters are [-3.26276609 4.38641075] -5.7890609951250385 ;\n", + "Epoch 960/1000, Cost: 0.8364\n", + " and the parameters are [-3.26276076 4.38643674] -5.789063311029067 ;\n", + "Epoch 960/1000, Cost: 9.6599\n", + " and the parameters are [-3.26272338 4.3863975 ] -5.7890750069216255 ;\n", + "Epoch 960/1000, Cost: 5.6025\n", + " and the parameters are [-3.26270223 4.38625133] -5.789187824455708 ;\n", + "Epoch 960/1000, Cost: 2.6057\n", + " and the parameters are [-3.26279709 4.38620217] -5.789185856315049 ;\n", + "Epoch 960/1000, Cost: 2.6199\n", + " and the parameters are [-3.26279847 4.38617228] -5.7892231779146055 ;\n", + "Epoch 960/1000, Cost: 2.0838\n", + " and the parameters are [-3.26275907 4.38621176] -5.789239225434804 ;\n", + "Epoch 960/1000, Cost: 3.9296\n", + " and the parameters are [-3.2627241 4.38636135] -5.78914255364659 ;\n", + "Epoch 960/1000, Cost: 1.4723\n", + " and the parameters are [-3.2627398 4.38640017] -5.789129163882846 ;\n", + "Epoch 960/1000, Cost: 5.0025\n", + " and the parameters are [-3.26273582 4.3862682 ] -5.7892262006286295 ;\n", + "Epoch 960/1000, Cost: 1.5863\n", + " and the parameters are [-3.2627194 4.38634795] -5.789191191267236 ;\n", + "Epoch 960/1000, Cost: 2.1118\n", + " and the parameters are [-3.26273731 4.38631337] -5.78922881664128 ;\n", + "Epoch 960/1000, Cost: 4.2746\n", + " and the parameters are [-3.26267211 4.38645479] -5.789176180841971 ;\n", + "Epoch 960/1000, Cost: 3.2835\n", + " and the parameters are [-3.26261431 4.38643641] -5.789240250046452 ;\n", + "Epoch 960/1000, Cost: 1.7340\n", + " and the parameters are [-3.26261814 4.38642112] -5.789273398486259 ;\n", + "Epoch 960/1000, Cost: 1.6519\n", + " and the parameters are [-3.26264854 4.38639551] -5.789295687797444 ;\n", + "Epoch 960/1000, Cost: 2.1260\n", + " and the parameters are [-3.26270859 4.38641515] -5.789270280665733 ;\n", + "Epoch 960/1000, Cost: 3.3617\n", + " and the parameters are [-3.26273291 4.38634532] -5.78932449102422 ;\n", + "Epoch 960/1000, Cost: 1.2858\n", + " and the parameters are [-3.26275726 4.38636626] -5.789319173275979 ;\n", + "Epoch 960/1000, Cost: 2.1338\n", + " and the parameters are [-3.26271125 4.38648812] -5.789262978143291 ;\n", + "Epoch 960/1000, Cost: 5.0030\n", + " and the parameters are [-3.26269128 4.38656625] -5.789222380683471 ;\n", + "Epoch 960/1000, Cost: 3.5451\n", + " and the parameters are [-3.2627928 4.38655142] -5.789193497925072 ;\n", + "Epoch 960/1000, Cost: 3.0505\n", + " and the parameters are [-3.26280504 4.38668356] -5.789100950196978 ;\n", + "Epoch 960/1000, Cost: 5.4073\n", + " and the parameters are [-3.26285657 4.3865618 ] -5.789179223520871 ;\n", + "Epoch 960/1000, Cost: 4.0878\n", + " and the parameters are [-3.26283978 4.38661679] -5.7891661894890065 ;\n", + "Epoch 960/1000, Cost: 1.9890\n", + " and the parameters are [-3.2628006 4.38665089] -5.7891865945996965 ;\n", + "Epoch 960/1000, Cost: 3.7251\n", + " and the parameters are [-3.26275946 4.38670293] -5.7891914520203684 ;\n", + "Epoch 960/1000, Cost: 2.8312\n", + " and the parameters are [-3.26272371 4.38672014] -5.789217801889749 ;\n", + "Epoch 960/1000, Cost: 5.6562\n", + " and the parameters are [-3.26280791 4.38666406] -5.789208232982795 ;\n", + "Epoch 960/1000, Cost: 5.7670\n", + " and the parameters are [-3.26294119 4.38654708] -5.789222580918604 ;\n", + "Epoch 960/1000, Cost: 0.7749\n", + " and the parameters are [-3.26294435 4.38656345] -5.789222773300915 ;\n", + "Epoch 960/1000, Cost: 1.6480\n", + " and the parameters are [-3.26295819 4.38653308] -5.789263828413014 ;\n", + "Epoch 960/1000, Cost: 1.0164\n", + " and the parameters are [-3.2629556 4.38650863] -5.78929993718976 ;\n", + "Epoch 960/1000, Cost: 2.4379\n", + " and the parameters are [-3.26295734 4.38651317] -5.789314401213717 ;\n", + "Epoch 960/1000, Cost: 2.8532\n", + " and the parameters are [-3.2628875 4.38658639] -5.789306008539819 ;\n", + "Epoch 960/1000, Cost: 2.6992\n", + " and the parameters are [-3.26289519 4.38664476] -5.7892761920818785 ;\n", + "Epoch 960/1000, Cost: 0.6620\n", + " and the parameters are [-3.26291045 4.38664694] -5.789281978403113 ;\n", + "Epoch 970/1000, Cost: 1.8564\n", + " and the parameters are [-3.27041731 4.3960131 ] -5.802647551795815 ;\n", + "Epoch 970/1000, Cost: 1.9037\n", + " and the parameters are [-3.27040876 4.39609915] -5.8026003163449715 ;\n", + "Epoch 970/1000, Cost: 4.1145\n", + " and the parameters are [-3.27039835 4.39600576] -5.802696137244539 ;\n", + "Epoch 970/1000, Cost: 1.3788\n", + " and the parameters are [-3.27037674 4.39602602] -5.802718849744097 ;\n", + "Epoch 970/1000, Cost: 3.1692\n", + " and the parameters are [-3.27032246 4.39608382] -5.80272071463858 ;\n", + "Epoch 970/1000, Cost: 2.8069\n", + " and the parameters are [-3.27034781 4.3961107 ] -5.802699435113943 ;\n", + "Epoch 970/1000, Cost: 0.4416\n", + " and the parameters are [-3.27034647 4.39613558] -5.802695754178049 ;\n", + "Epoch 970/1000, Cost: 3.4768\n", + " and the parameters are [-3.27045844 4.3960862 ] -5.802695200068408 ;\n", + "Epoch 970/1000, Cost: 2.2883\n", + " and the parameters are [-3.27048422 4.39608459] -5.802700475003441 ;\n", + "Epoch 970/1000, Cost: 1.2284\n", + " and the parameters are [-3.27049626 4.39615569] -5.802656016949829 ;\n", + "Epoch 970/1000, Cost: 2.1317\n", + " and the parameters are [-3.27048626 4.39613137] -5.8027028837401256 ;\n", + "Epoch 970/1000, Cost: 5.3616\n", + " and the parameters are [-3.27043767 4.39626575] -5.802628785803396 ;\n", + "Epoch 970/1000, Cost: 2.3476\n", + " and the parameters are [-3.27046941 4.39625761] -5.802643789478609 ;\n", + "Epoch 970/1000, Cost: 2.3338\n", + " and the parameters are [-3.2704864 4.39629611] -5.802625386562824 ;\n", + "Epoch 970/1000, Cost: 0.9785\n", + " and the parameters are [-3.2704761 4.39628456] -5.802657994371106 ;\n", + "Epoch 970/1000, Cost: 3.4626\n", + " and the parameters are [-3.27041441 4.39627386] -5.802713474261727 ;\n", + "Epoch 970/1000, Cost: 1.8285\n", + " and the parameters are [-3.27042542 4.39626489] -5.802730703770948 ;\n", + "Epoch 970/1000, Cost: 0.7737\n", + " and the parameters are [-3.27044388 4.39626343] -5.802738989665358 ;\n", + "Epoch 970/1000, Cost: 0.4208\n", + " and the parameters are [-3.27043926 4.39627582] -5.802744989566487 ;\n", + "Epoch 970/1000, Cost: 1.8866\n", + " and the parameters are [-3.27044865 4.39630722] -5.802742712667816 ;\n", + "Epoch 970/1000, Cost: 3.0332\n", + " and the parameters are [-3.27040766 4.396287 ] -5.802801433694261 ;\n", + "Epoch 970/1000, Cost: 2.4316\n", + " and the parameters are [-3.27039067 4.39634191] -5.80278545174341 ;\n", + "Epoch 970/1000, Cost: 4.9071\n", + " and the parameters are [-3.27039173 4.39630156] -5.802812927522158 ;\n", + "Epoch 970/1000, Cost: 1.6890\n", + " and the parameters are [-3.2704014 4.39626526] -5.8028596003399135 ;\n", + "Epoch 970/1000, Cost: 3.3350\n", + " and the parameters are [-3.27048139 4.39618441] -5.80288510786635 ;\n", + "Epoch 970/1000, Cost: 1.8314\n", + " and the parameters are [-3.27046473 4.39618055] -5.802916353065192 ;\n", + "Epoch 970/1000, Cost: 1.6595\n", + " and the parameters are [-3.27046193 4.39619639] -5.802919005451859 ;\n", + "Epoch 970/1000, Cost: 3.6734\n", + " and the parameters are [-3.27041489 4.39621423] -5.8029396422026505 ;\n", + "Epoch 970/1000, Cost: 1.3728\n", + " and the parameters are [-3.27040248 4.39623977] -5.80295152794609 ;\n", + "Epoch 970/1000, Cost: 3.7633\n", + " and the parameters are [-3.27035381 4.39628266] -5.802950674938927 ;\n", + "Epoch 970/1000, Cost: 0.4338\n", + " and the parameters are [-3.27035216 4.39632356] -5.802933238717279 ;\n", + "Epoch 970/1000, Cost: 3.1947\n", + " and the parameters are [-3.27031417 4.39637054] -5.80292901292381 ;\n", + "Epoch 970/1000, Cost: 2.7428\n", + " and the parameters are [-3.27028162 4.39647141] -5.802887878246686 ;\n", + "Epoch 970/1000, Cost: 3.1424\n", + " and the parameters are [-3.27033724 4.39640394] -5.802923582129608 ;\n", + "Epoch 970/1000, Cost: 2.7907\n", + " and the parameters are [-3.27032497 4.39646778] -5.8029077797743875 ;\n", + "Epoch 970/1000, Cost: 2.0976\n", + " and the parameters are [-3.2703313 4.39641924] -5.802948485778894 ;\n", + "Epoch 970/1000, Cost: 5.3770\n", + " and the parameters are [-3.27033278 4.39635651] -5.802982016704384 ;\n", + "Epoch 970/1000, Cost: 3.3211\n", + " and the parameters are [-3.27029874 4.39641872] -5.8029620562428175 ;\n", + "Epoch 970/1000, Cost: 1.7265\n", + " and the parameters are [-3.27024681 4.3964777 ] -5.8029693991505615 ;\n", + "Epoch 970/1000, Cost: 2.7620\n", + " and the parameters are [-3.2701687 4.39653924] -5.802977063030329 ;\n", + "Epoch 970/1000, Cost: 4.9115\n", + " and the parameters are [-3.27018943 4.39642965] -5.803043300190048 ;\n", + "Epoch 970/1000, Cost: 1.0466\n", + " and the parameters are [-3.27020022 4.39641529] -5.803068936610392 ;\n", + "Epoch 970/1000, Cost: 4.9199\n", + " and the parameters are [-3.27012889 4.39650617] -5.803040775803414 ;\n", + "Epoch 970/1000, Cost: 2.9019\n", + " and the parameters are [-3.27014075 4.39660951] -5.8029711001127495 ;\n", + "Epoch 970/1000, Cost: 4.6862\n", + " and the parameters are [-3.27013348 4.39664932] -5.802959792551635 ;\n", + "Epoch 970/1000, Cost: 4.7621\n", + " and the parameters are [-3.27011526 4.39665956] -5.802940838966323 ;\n", + "Epoch 970/1000, Cost: 1.9337\n", + " and the parameters are [-3.27014051 4.39658547] -5.802992555157802 ;\n", + "Epoch 970/1000, Cost: 2.2099\n", + " and the parameters are [-3.27020174 4.3965004 ] -5.8030356201700135 ;\n", + "Epoch 970/1000, Cost: 2.2096\n", + " and the parameters are [-3.27021366 4.39652141] -5.803040045742199 ;\n", + "Epoch 970/1000, Cost: 1.4234\n", + " and the parameters are [-3.27022115 4.39656983] -5.803016376242219 ;\n", + "Epoch 970/1000, Cost: 2.0565\n", + " and the parameters are [-3.27021978 4.39655746] -5.803045305169083 ;\n", + "Epoch 970/1000, Cost: 4.9992\n", + " and the parameters are [-3.27011248 4.39661452] -5.80305056872292 ;\n", + "Epoch 970/1000, Cost: 3.9716\n", + " and the parameters are [-3.27016433 4.39652704] -5.80310014977407 ;\n", + "Epoch 970/1000, Cost: 1.9586\n", + " and the parameters are [-3.27023267 4.39649493] -5.803105867360502 ;\n", + "Epoch 970/1000, Cost: 2.1905\n", + " and the parameters are [-3.27022529 4.39657407] -5.803081565805751 ;\n", + "Epoch 970/1000, Cost: 2.6395\n", + " and the parameters are [-3.27022757 4.39668814] -5.803011574738975 ;\n", + "Epoch 970/1000, Cost: 3.3913\n", + " and the parameters are [-3.27021707 4.39660616] -5.803110336831214 ;\n", + "Epoch 970/1000, Cost: 4.4321\n", + " and the parameters are [-3.27013644 4.39670223] -5.8030889846657825 ;\n", + "Epoch 970/1000, Cost: 3.8447\n", + " and the parameters are [-3.27014593 4.39675975] -5.803054451111096 ;\n", + "Epoch 970/1000, Cost: 1.5159\n", + " and the parameters are [-3.27015076 4.3967652 ] -5.80307572529166 ;\n", + "Epoch 970/1000, Cost: 4.4376\n", + " and the parameters are [-3.27018462 4.39667274] -5.803146789281274 ;\n", + "Epoch 970/1000, Cost: 3.5816\n", + " and the parameters are [-3.27020842 4.39667864] -5.803148335105809 ;\n", + "Epoch 970/1000, Cost: 2.4453\n", + " and the parameters are [-3.27022785 4.39660793] -5.803192665428272 ;\n", + "Epoch 970/1000, Cost: 2.5667\n", + " and the parameters are [-3.27019272 4.39658162] -5.803240173514647 ;\n", + "Epoch 970/1000, Cost: 4.2532\n", + " and the parameters are [-3.27023177 4.39653565] -5.80325349599783 ;\n", + "Epoch 970/1000, Cost: 2.3819\n", + " and the parameters are [-3.27028546 4.39660756] -5.8031930019569975 ;\n", + "Epoch 970/1000, Cost: 1.4423\n", + " and the parameters are [-3.27029758 4.39660212] -5.803215447653791 ;\n", + "Epoch 970/1000, Cost: 3.1769\n", + " and the parameters are [-3.27030899 4.39664452] -5.80319022620753 ;\n", + "Epoch 970/1000, Cost: 1.9786\n", + " and the parameters are [-3.27034171 4.3965939 ] -5.803227769138756 ;\n", + "Epoch 970/1000, Cost: 2.3102\n", + " and the parameters are [-3.27031664 4.39667864] -5.80320527754401 ;\n", + "Epoch 970/1000, Cost: 5.3500\n", + " and the parameters are [-3.27044768 4.39662022] -5.803176657008787 ;\n", + "Epoch 970/1000, Cost: 2.8245\n", + " and the parameters are [-3.27041209 4.39671575] -5.803151236253489 ;\n", + "Epoch 970/1000, Cost: 2.1409\n", + " and the parameters are [-3.27042154 4.39666322] -5.8032050369586585 ;\n", + "Epoch 970/1000, Cost: 2.8204\n", + " and the parameters are [-3.27047616 4.39668862] -5.803180017212047 ;\n", + "Epoch 970/1000, Cost: 3.3427\n", + " and the parameters are [-3.27050847 4.39673298] -5.803165178255144 ;\n", + "Epoch 970/1000, Cost: 1.7505\n", + " and the parameters are [-3.27053432 4.39668014] -5.803207779233532 ;\n", + "Epoch 970/1000, Cost: 5.5144\n", + " and the parameters are [-3.27062191 4.39661903] -5.803204442604397 ;\n", + "Epoch 970/1000, Cost: 2.0846\n", + " and the parameters are [-3.27063397 4.39658341] -5.803250566633438 ;\n", + "Epoch 970/1000, Cost: 3.1200\n", + " and the parameters are [-3.27056101 4.39668848] -5.803223490019278 ;\n", + "Epoch 970/1000, Cost: 3.0586\n", + " and the parameters are [-3.27051454 4.39666685] -5.8032757830894655 ;\n", + "Epoch 970/1000, Cost: 3.7837\n", + " and the parameters are [-3.27049094 4.39676133] -5.803245396208243 ;\n", + "Epoch 970/1000, Cost: 6.7102\n", + " and the parameters are [-3.27051246 4.39670102] -5.803249979939408 ;\n", + "Epoch 970/1000, Cost: 1.0030\n", + " and the parameters are [-3.27052418 4.39668445] -5.803272019638155 ;\n", + "Epoch 970/1000, Cost: 3.4685\n", + " and the parameters are [-3.27050458 4.39668609] -5.8032893066963265 ;\n", + "Epoch 970/1000, Cost: 5.3226\n", + " and the parameters are [-3.27047688 4.39678109] -5.803233563642391 ;\n", + "Epoch 970/1000, Cost: 2.8742\n", + " and the parameters are [-3.27051155 4.39686739] -5.8031664681420825 ;\n", + "Epoch 970/1000, Cost: 2.3376\n", + " and the parameters are [-3.27054079 4.39678367] -5.803232351109792 ;\n", + "Epoch 970/1000, Cost: 2.7852\n", + " and the parameters are [-3.27056254 4.39678874] -5.803235556647227 ;\n", + "Epoch 970/1000, Cost: 1.2819\n", + " and the parameters are [-3.27055185 4.39685476] -5.803214712957683 ;\n", + "Epoch 970/1000, Cost: 2.7405\n", + " and the parameters are [-3.27052594 4.39690168] -5.8032137141278115 ;\n", + "Epoch 970/1000, Cost: 2.9239\n", + " and the parameters are [-3.2705048 4.39690641] -5.803249845232595 ;\n", + "Epoch 970/1000, Cost: 2.6334\n", + " and the parameters are [-3.27042943 4.39687199] -5.803341520587235 ;\n", + "Epoch 970/1000, Cost: 1.2972\n", + " and the parameters are [-3.27042742 4.39689796] -5.803344268249985 ;\n", + "Epoch 970/1000, Cost: 3.1244\n", + " and the parameters are [-3.27039051 4.39684216] -5.80342833038171 ;\n", + "Epoch 970/1000, Cost: 4.3468\n", + " and the parameters are [-3.27043251 4.39682454] -5.803425632079191 ;\n", + "Epoch 970/1000, Cost: 6.9376\n", + " and the parameters are [-3.27058771 4.39652246] -5.803539840764602 ;\n", + "Epoch 970/1000, Cost: 4.4257\n", + " and the parameters are [-3.27063768 4.39644034] -5.803590977512812 ;\n", + "Epoch 970/1000, Cost: 1.7660\n", + " and the parameters are [-3.2706251 4.3964478] -5.803612314510037 ;\n", + "Epoch 970/1000, Cost: 4.3738\n", + " and the parameters are [-3.27071358 4.39648982] -5.803524698512477 ;\n", + "Epoch 970/1000, Cost: 2.1765\n", + " and the parameters are [-3.27067884 4.39653055] -5.803537507318976 ;\n", + "Epoch 970/1000, Cost: 5.2667\n", + " and the parameters are [-3.27072303 4.39641567] -5.8036202922191 ;\n", + "Epoch 970/1000, Cost: 0.8754\n", + " and the parameters are [-3.27074772 4.39641914] -5.8036240064163875 ;\n", + "Epoch 970/1000, Cost: 5.3756\n", + " and the parameters are [-3.27080394 4.39644055] -5.803560626399275 ;\n", + "Epoch 970/1000, Cost: 0.7722\n", + " and the parameters are [-3.27079986 4.39649077] -5.8035428842329555 ;\n", + "Epoch 970/1000, Cost: 2.5771\n", + " and the parameters are [-3.27080652 4.39655446] -5.803509853552098 ;\n", + "Epoch 970/1000, Cost: 1.3027\n", + " and the parameters are [-3.27082686 4.39654514] -5.80352113874887 ;\n", + "Epoch 970/1000, Cost: 1.7453\n", + " and the parameters are [-3.27086753 4.39656211] -5.803505592261815 ;\n", + "Epoch 970/1000, Cost: 3.2388\n", + " and the parameters are [-3.27095232 4.39640085] -5.803591915331727 ;\n", + "Epoch 970/1000, Cost: 7.2081\n", + " and the parameters are [-3.27087926 4.39647502] -5.803561382696161 ;\n", + "Epoch 970/1000, Cost: 1.8729\n", + " and the parameters are [-3.27085213 4.39659337] -5.803514012446697 ;\n", + "Epoch 970/1000, Cost: 2.1396\n", + " and the parameters are [-3.27085748 4.39662681] -5.80350457559373 ;\n", + "Epoch 970/1000, Cost: 6.4633\n", + " and the parameters are [-3.27079585 4.39652821] -5.803617401579972 ;\n", + "Epoch 970/1000, Cost: 4.8429\n", + " and the parameters are [-3.27081916 4.39638088] -5.803701228882223 ;\n", + "Epoch 970/1000, Cost: 3.1596\n", + " and the parameters are [-3.2708142 4.39638449] -5.8037074992559194 ;\n", + "Epoch 970/1000, Cost: 4.3440\n", + " and the parameters are [-3.27075516 4.39637157] -5.803760708461492 ;\n", + "Epoch 970/1000, Cost: 2.3798\n", + " and the parameters are [-3.27078146 4.39633829] -5.803794429337572 ;\n", + "Epoch 970/1000, Cost: 4.0591\n", + " and the parameters are [-3.27081988 4.39633389] -5.8037902286745515 ;\n", + "Epoch 970/1000, Cost: 3.7171\n", + " and the parameters are [-3.27078396 4.39642797] -5.803750982846672 ;\n", + "Epoch 970/1000, Cost: 3.3814\n", + " and the parameters are [-3.27078299 4.39647958] -5.80373559575641 ;\n", + "Epoch 970/1000, Cost: 2.0511\n", + " and the parameters are [-3.2707501 4.39652494] -5.803740827136823 ;\n", + "Epoch 970/1000, Cost: 0.9157\n", + " and the parameters are [-3.27075056 4.39654652] -5.803742246963589 ;\n", + "Epoch 970/1000, Cost: 3.4827\n", + " and the parameters are [-3.27073682 4.39660245] -5.8037123015545475 ;\n", + "Epoch 970/1000, Cost: 2.0451\n", + " and the parameters are [-3.27074278 4.39662809] -5.803714454245851 ;\n", + "Epoch 970/1000, Cost: 0.8712\n", + " and the parameters are [-3.27074318 4.39668469] -5.803687458087934 ;\n", + "Epoch 970/1000, Cost: 1.3107\n", + " and the parameters are [-3.27076991 4.39671598] -5.803664438246162 ;\n", + "Epoch 970/1000, Cost: 2.7502\n", + " and the parameters are [-3.27079455 4.39669485] -5.803700136740095 ;\n", + "Epoch 970/1000, Cost: 2.2291\n", + " and the parameters are [-3.2707746 4.39673449] -5.80369322063067 ;\n", + "Epoch 970/1000, Cost: 4.3582\n", + " and the parameters are [-3.27084257 4.39663869] -5.803743979887241 ;\n", + "Epoch 970/1000, Cost: 3.3480\n", + " and the parameters are [-3.27090195 4.39664695] -5.8037199775694335 ;\n", + "Epoch 970/1000, Cost: 1.6583\n", + " and the parameters are [-3.2708501 4.39675976] -5.803683349889321 ;\n", + "Epoch 970/1000, Cost: 6.2920\n", + " and the parameters are [-3.27096306 4.39664068] -5.80369550784827 ;\n", + "Epoch 970/1000, Cost: 2.3383\n", + " and the parameters are [-3.27092776 4.39670069] -5.80369592355989 ;\n", + "Epoch 970/1000, Cost: 3.2885\n", + " and the parameters are [-3.27089784 4.39668883] -5.803739096885528 ;\n", + "Epoch 970/1000, Cost: 2.3048\n", + " and the parameters are [-3.27087236 4.39667622] -5.80378143608018 ;\n", + "Epoch 970/1000, Cost: 3.3631\n", + " and the parameters are [-3.2707703 4.39673471] -5.803810883936045 ;\n", + "Epoch 970/1000, Cost: 4.5186\n", + " and the parameters are [-3.27072949 4.39668482] -5.803879097935834 ;\n", + "Epoch 970/1000, Cost: 2.6748\n", + " and the parameters are [-3.27066784 4.39682464] -5.803821820568402 ;\n", + "Epoch 970/1000, Cost: 0.9211\n", + " and the parameters are [-3.27065264 4.39688227] -5.803805953899363 ;\n", + "Epoch 970/1000, Cost: 4.3712\n", + " and the parameters are [-3.27072289 4.39690271] -5.80376339721345 ;\n", + "Epoch 970/1000, Cost: 1.8850\n", + " and the parameters are [-3.27073678 4.39694789] -5.803754940017338 ;\n", + "Epoch 970/1000, Cost: 1.3369\n", + " and the parameters are [-3.27073443 4.39695879] -5.803772195835897 ;\n", + "Epoch 970/1000, Cost: 3.1394\n", + " and the parameters are [-3.2707343 4.3971191] -5.803673849783022 ;\n", + "Epoch 970/1000, Cost: 2.7732\n", + " and the parameters are [-3.27070019 4.3970795 ] -5.803727614940897 ;\n", + "Epoch 970/1000, Cost: 2.3553\n", + " and the parameters are [-3.27069331 4.3970833 ] -5.803747615990007 ;\n", + "Epoch 970/1000, Cost: 4.0222\n", + " and the parameters are [-3.27065435 4.39719743] -5.803701203177606 ;\n", + "Epoch 970/1000, Cost: 3.8420\n", + " and the parameters are [-3.27061064 4.39718631] -5.803734708605865 ;\n", + "Epoch 970/1000, Cost: 1.8859\n", + " and the parameters are [-3.27063469 4.39721819] -5.803707982429614 ;\n", + "Epoch 970/1000, Cost: 0.6687\n", + " and the parameters are [-3.27061899 4.39724016] -5.803716402377673 ;\n", + "Epoch 970/1000, Cost: 2.6249\n", + " and the parameters are [-3.27062611 4.39715257] -5.803798085196059 ;\n", + "Epoch 970/1000, Cost: 3.0659\n", + " and the parameters are [-3.27059444 4.39724699] -5.8037659358891105 ;\n", + "Epoch 970/1000, Cost: 5.3116\n", + " and the parameters are [-3.27061939 4.39712849] -5.803834707980899 ;\n", + "Epoch 970/1000, Cost: 2.5751\n", + " and the parameters are [-3.27064161 4.39716576] -5.803793226346532 ;\n", + "Epoch 970/1000, Cost: 7.7985\n", + " and the parameters are [-3.27058649 4.39725736] -5.803719397379061 ;\n", + "Epoch 970/1000, Cost: 1.1078\n", + " and the parameters are [-3.27057268 4.39732606] -5.803694466282291 ;\n", + "Epoch 970/1000, Cost: 2.8040\n", + " and the parameters are [-3.27058333 4.39730154] -5.803728404502778 ;\n", + "Epoch 970/1000, Cost: 1.2263\n", + " and the parameters are [-3.27055804 4.39732483] -5.803752160899353 ;\n", + "Epoch 970/1000, Cost: 0.6361\n", + " and the parameters are [-3.2705475 4.397339 ] -5.803764120620748 ;\n", + "Epoch 970/1000, Cost: 1.7080\n", + " and the parameters are [-3.27054605 4.3973851 ] -5.803748306186922 ;\n", + "Epoch 970/1000, Cost: 2.8574\n", + " and the parameters are [-3.2705329 4.39745854] -5.803715346410893 ;\n", + "Epoch 970/1000, Cost: 7.2195\n", + " and the parameters are [-3.27050369 4.39742917] -5.803719803999579 ;\n", + "Epoch 970/1000, Cost: 2.3033\n", + " and the parameters are [-3.27048055 4.39744141] -5.803735526983815 ;\n", + "Epoch 970/1000, Cost: 4.0077\n", + " and the parameters are [-3.27056294 4.39744546] -5.803708466486672 ;\n", + "Epoch 970/1000, Cost: 7.9913\n", + " and the parameters are [-3.27065931 4.39732216] -5.80372554288162 ;\n", + "Epoch 970/1000, Cost: 2.9831\n", + " and the parameters are [-3.27067361 4.39732102] -5.803748330922074 ;\n", + "Epoch 970/1000, Cost: 3.0564\n", + " and the parameters are [-3.27076335 4.3972782 ] -5.803748738252261 ;\n", + "Epoch 970/1000, Cost: 1.9416\n", + " and the parameters are [-3.27073735 4.39737899] -5.803702825082699 ;\n", + "Epoch 970/1000, Cost: 1.7217\n", + " and the parameters are [-3.27070346 4.3974068 ] -5.803719620668106 ;\n", + "Epoch 970/1000, Cost: 1.3292\n", + " and the parameters are [-3.27072926 4.39739852] -5.803727324156651 ;\n", + "Epoch 970/1000, Cost: 1.6562\n", + " and the parameters are [-3.27076498 4.39743803] -5.803694260118956 ;\n", + "Epoch 970/1000, Cost: 3.9388\n", + " and the parameters are [-3.27077109 4.39751751] -5.803636677617746 ;\n", + "Epoch 970/1000, Cost: 1.8144\n", + " and the parameters are [-3.27078253 4.39749155] -5.803671508159393 ;\n", + "Epoch 970/1000, Cost: 2.6968\n", + " and the parameters are [-3.27088139 4.39740529] -5.803705762362331 ;\n", + "Epoch 970/1000, Cost: 2.1629\n", + " and the parameters are [-3.27081454 4.39742073] -5.803749976043967 ;\n", + "Epoch 970/1000, Cost: 1.3825\n", + " and the parameters are [-3.27083063 4.3974437 ] -5.803745575303286 ;\n", + "Epoch 970/1000, Cost: 1.0263\n", + " and the parameters are [-3.27084644 4.39745053] -5.803754234612415 ;\n", + "Epoch 970/1000, Cost: 4.0606\n", + " and the parameters are [-3.27096616 4.39735666] -5.803782049855921 ;\n", + "Epoch 970/1000, Cost: 5.3847\n", + " and the parameters are [-3.2709788 4.39741393] -5.803743581397084 ;\n", + "Epoch 970/1000, Cost: 2.6825\n", + " and the parameters are [-3.27095846 4.39736982] -5.8038041361811885 ;\n", + "Epoch 970/1000, Cost: 1.1383\n", + " and the parameters are [-3.27090903 4.39743581] -5.803796346724208 ;\n", + "Epoch 970/1000, Cost: 2.4237\n", + " and the parameters are [-3.27096292 4.39745004] -5.803782881546741 ;\n", + "Epoch 970/1000, Cost: 4.9592\n", + " and the parameters are [-3.27101333 4.39733456] -5.803851883551644 ;\n", + "Epoch 970/1000, Cost: 4.7516\n", + " and the parameters are [-3.2710572 4.39741517] -5.803767839587537 ;\n", + "Epoch 970/1000, Cost: 1.3625\n", + " and the parameters are [-3.27101739 4.39749729] -5.803744802862833 ;\n", + "Epoch 970/1000, Cost: 1.4276\n", + " and the parameters are [-3.27102836 4.39750527] -5.8037562490562165 ;\n", + "Epoch 970/1000, Cost: 3.5974\n", + " and the parameters are [-3.27100641 4.39754307] -5.803761800457755 ;\n", + "Epoch 970/1000, Cost: 2.5341\n", + " and the parameters are [-3.27104859 4.39747275] -5.803813003685814 ;\n", + "Epoch 970/1000, Cost: 2.3335\n", + " and the parameters are [-3.27109598 4.39743571] -5.803834604480723 ;\n", + "Epoch 970/1000, Cost: 6.5514\n", + " and the parameters are [-3.27106129 4.39740658] -5.8038567677587 ;\n", + "Epoch 970/1000, Cost: 2.0291\n", + " and the parameters are [-3.27108476 4.39741258] -5.8038660733703376 ;\n", + "Epoch 970/1000, Cost: 5.3781\n", + " and the parameters are [-3.27111799 4.39730421] -5.803926841836352 ;\n", + "Epoch 970/1000, Cost: 2.8541\n", + " and the parameters are [-3.27110543 4.39731341] -5.803934456661272 ;\n", + "Epoch 970/1000, Cost: 4.2212\n", + " and the parameters are [-3.2711813 4.39716929] -5.804012740182499 ;\n", + "Epoch 970/1000, Cost: 5.5253\n", + " and the parameters are [-3.27120849 4.39721085] -5.803960736629723 ;\n", + "Epoch 970/1000, Cost: 10.3329\n", + " and the parameters are [-3.27112383 4.39714727] -5.804019437736948 ;\n", + "Epoch 970/1000, Cost: 4.7675\n", + " and the parameters are [-3.27113299 4.39712092] -5.804042253460021 ;\n", + "Epoch 970/1000, Cost: 0.2967\n", + " and the parameters are [-3.27113136 4.3971249 ] -5.80404977778982 ;\n", + "Epoch 970/1000, Cost: 0.9543\n", + " and the parameters are [-3.27114332 4.39710352] -5.804079984658826 ;\n", + "Epoch 970/1000, Cost: 2.8037\n", + " and the parameters are [-3.27118616 4.39711197] -5.804050183975568 ;\n", + "Epoch 970/1000, Cost: 1.4588\n", + " and the parameters are [-3.27118451 4.39715879] -5.804038973248635 ;\n", + "Epoch 970/1000, Cost: 2.3896\n", + " and the parameters are [-3.27123844 4.39707062] -5.804092892784542 ;\n", + "Epoch 980/1000, Cost: 4.4119\n", + " and the parameters are [-3.27869291 4.40641891] -5.817249055316948 ;\n", + "Epoch 980/1000, Cost: 2.0662\n", + " and the parameters are [-3.27868083 4.4065063 ] -5.817213110988887 ;\n", + "Epoch 980/1000, Cost: 4.3031\n", + " and the parameters are [-3.27871723 4.40649294] -5.817218198107481 ;\n", + "Epoch 980/1000, Cost: 3.7744\n", + " and the parameters are [-3.27875659 4.40649713] -5.817199686212138 ;\n", + "Epoch 980/1000, Cost: 1.1253\n", + " and the parameters are [-3.27874363 4.40652112] -5.8172115816123116 ;\n", + "Epoch 980/1000, Cost: 4.0335\n", + " and the parameters are [-3.27873787 4.40656468] -5.817190389668959 ;\n", + "Epoch 980/1000, Cost: 3.6477\n", + " and the parameters are [-3.27870793 4.40664021] -5.817165526002758 ;\n", + "Epoch 980/1000, Cost: 3.3043\n", + " and the parameters are [-3.27877765 4.40648401] -5.8172413442694095 ;\n", + "Epoch 980/1000, Cost: 3.3433\n", + " and the parameters are [-3.27877447 4.40661763] -5.817166333675475 ;\n", + "Epoch 980/1000, Cost: 2.8273\n", + " and the parameters are [-3.27879427 4.40655212] -5.817209790156752 ;\n", + "Epoch 980/1000, Cost: 4.9537\n", + " and the parameters are [-3.27883322 4.40652815] -5.817214638361607 ;\n", + "Epoch 980/1000, Cost: 2.9935\n", + " and the parameters are [-3.27885029 4.40652018] -5.817222405661927 ;\n", + "Epoch 980/1000, Cost: 1.9135\n", + " and the parameters are [-3.27891102 4.40643795] -5.817266903872667 ;\n", + "Epoch 980/1000, Cost: 1.4316\n", + " and the parameters are [-3.27888166 4.40645903] -5.817289692639211 ;\n", + "Epoch 980/1000, Cost: 1.9461\n", + " and the parameters are [-3.27886379 4.40651577] -5.8172837866764135 ;\n", + "Epoch 980/1000, Cost: 2.1615\n", + " and the parameters are [-3.27878048 4.40663705] -5.817254176502786 ;\n", + "Epoch 980/1000, Cost: 2.1438\n", + " and the parameters are [-3.27872004 4.40671048] -5.817250194076034 ;\n", + "Epoch 980/1000, Cost: 2.0767\n", + " and the parameters are [-3.27874337 4.40665663] -5.817298059183011 ;\n", + "Epoch 980/1000, Cost: 5.3328\n", + " and the parameters are [-3.27875337 4.40667073] -5.817306632140375 ;\n", + "Epoch 980/1000, Cost: 3.5330\n", + " and the parameters are [-3.27880357 4.40672347] -5.817250445708336 ;\n", + "Epoch 980/1000, Cost: 1.4113\n", + " and the parameters are [-3.27880409 4.40679667] -5.81721078745081 ;\n", + "Epoch 980/1000, Cost: 4.4126\n", + " and the parameters are [-3.27878688 4.40676262] -5.817256499723619 ;\n", + "Epoch 980/1000, Cost: 2.8012\n", + " and the parameters are [-3.27879117 4.4068556 ] -5.817207594888406 ;\n", + "Epoch 980/1000, Cost: 3.7017\n", + " and the parameters are [-3.27877362 4.40691926] -5.817174317687212 ;\n", + "Epoch 980/1000, Cost: 2.3500\n", + " and the parameters are [-3.27880597 4.40690383] -5.8171836887558355 ;\n", + "Epoch 980/1000, Cost: 1.4380\n", + " and the parameters are [-3.27879429 4.40688938] -5.817219605368091 ;\n", + "Epoch 980/1000, Cost: 0.9843\n", + " and the parameters are [-3.27878724 4.40690166] -5.8172344702651415 ;\n", + "Epoch 980/1000, Cost: 2.5948\n", + " and the parameters are [-3.27874046 4.40688272] -5.8172956160212985 ;\n", + "Epoch 980/1000, Cost: 4.1436\n", + " and the parameters are [-3.27869874 4.40692778] -5.817304933846559 ;\n", + "Epoch 980/1000, Cost: 4.7735\n", + " and the parameters are [-3.27874689 4.40694263] -5.817275137674249 ;\n", + "Epoch 980/1000, Cost: 4.4640\n", + " and the parameters are [-3.27871896 4.40686224] -5.81737633647017 ;\n", + "Epoch 980/1000, Cost: 1.5259\n", + " and the parameters are [-3.27873505 4.40683792] -5.817409051098197 ;\n", + "Epoch 980/1000, Cost: 3.7581\n", + " and the parameters are [-3.27866469 4.40698557] -5.8173566285974925 ;\n", + "Epoch 980/1000, Cost: 2.8470\n", + " and the parameters are [-3.27868438 4.40706061] -5.817307414401862 ;\n", + "Epoch 980/1000, Cost: 7.6965\n", + " and the parameters are [-3.27869893 4.40697144] -5.817355594574927 ;\n", + "Epoch 980/1000, Cost: 4.1293\n", + " and the parameters are [-3.2786123 4.40690438] -5.817445705706006 ;\n", + "Epoch 980/1000, Cost: 9.5528\n", + " and the parameters are [-3.27862294 4.40696022] -5.817354687325853 ;\n", + "Epoch 980/1000, Cost: 1.9915\n", + " and the parameters are [-3.27856832 4.40704263] -5.8173400567191615 ;\n", + "Epoch 980/1000, Cost: 4.2314\n", + " and the parameters are [-3.2785169 4.40713419] -5.817292068154472 ;\n", + "Epoch 980/1000, Cost: 4.3039\n", + " and the parameters are [-3.27867372 4.40706482] -5.817265255193616 ;\n", + "Epoch 980/1000, Cost: 2.8108\n", + " and the parameters are [-3.27860738 4.4071102 ] -5.817291607822083 ;\n", + "Epoch 980/1000, Cost: 8.0755\n", + " and the parameters are [-3.27872651 4.40677461] -5.8174688334637645 ;\n", + "Epoch 980/1000, Cost: 2.4807\n", + " and the parameters are [-3.27871485 4.40690541] -5.8174003598272925 ;\n", + "Epoch 980/1000, Cost: 2.8694\n", + " and the parameters are [-3.27863965 4.4069376 ] -5.817444071576217 ;\n", + "Epoch 980/1000, Cost: 3.5413\n", + " and the parameters are [-3.27857858 4.4068474 ] -5.817566671989812 ;\n", + "Epoch 980/1000, Cost: 3.3564\n", + " and the parameters are [-3.27854453 4.40691885] -5.8175523838116545 ;\n", + "Epoch 980/1000, Cost: 2.5468\n", + " and the parameters are [-3.27859525 4.40690782] -5.817554054342878 ;\n", + "Epoch 980/1000, Cost: 0.9361\n", + " and the parameters are [-3.27863652 4.40687948] -5.817571885524556 ;\n", + "Epoch 980/1000, Cost: 1.2255\n", + " and the parameters are [-3.27865038 4.40684183] -5.817611546626745 ;\n", + "Epoch 980/1000, Cost: 1.9190\n", + " and the parameters are [-3.2786816 4.40679571] -5.817654613783167 ;\n", + "Epoch 980/1000, Cost: 1.0149\n", + " and the parameters are [-3.27871006 4.40681132] -5.817643737310608 ;\n", + "Epoch 980/1000, Cost: 3.7984\n", + " and the parameters are [-3.2786623 4.40677217] -5.817704673669976 ;\n", + "Epoch 980/1000, Cost: 1.7342\n", + " and the parameters are [-3.27868243 4.4068419 ] -5.817656639597756 ;\n", + "Epoch 980/1000, Cost: 2.3467\n", + " and the parameters are [-3.27868182 4.40684031] -5.817671178996111 ;\n", + "Epoch 980/1000, Cost: 2.2696\n", + " and the parameters are [-3.27868407 4.40686386] -5.817665526802391 ;\n", + "Epoch 980/1000, Cost: 1.7152\n", + " and the parameters are [-3.27871328 4.40690485] -5.817642568874485 ;\n", + "Epoch 980/1000, Cost: 2.4353\n", + " and the parameters are [-3.27878087 4.40692119] -5.81760791496351 ;\n", + "Epoch 980/1000, Cost: 3.3393\n", + " and the parameters are [-3.27878131 4.40687472] -5.817635799915451 ;\n", + "Epoch 980/1000, Cost: 1.9732\n", + " and the parameters are [-3.27882181 4.40692513] -5.817581981527169 ;\n", + "Epoch 980/1000, Cost: 1.6190\n", + " and the parameters are [-3.27886183 4.40687293] -5.817618847729867 ;\n", + "Epoch 980/1000, Cost: 1.3189\n", + " and the parameters are [-3.27881834 4.40692981] -5.817616544065708 ;\n", + "Epoch 980/1000, Cost: 4.1545\n", + " and the parameters are [-3.27890982 4.40684017] -5.817626185243534 ;\n", + "Epoch 980/1000, Cost: 1.8649\n", + " and the parameters are [-3.27892921 4.4068303 ] -5.8176394154802376 ;\n", + "Epoch 980/1000, Cost: 2.2087\n", + " and the parameters are [-3.27894838 4.40684797] -5.817639611436537 ;\n", + "Epoch 980/1000, Cost: 1.8186\n", + " and the parameters are [-3.27898509 4.40679153] -5.817673176014783 ;\n", + "Epoch 980/1000, Cost: 1.2925\n", + " and the parameters are [-3.27896554 4.40684032] -5.817672553286178 ;\n", + "Epoch 980/1000, Cost: 5.0361\n", + " and the parameters are [-3.278867 4.40682279] -5.817736076248432 ;\n", + "Epoch 980/1000, Cost: 1.1808\n", + " and the parameters are [-3.27885219 4.40685245] -5.8177464200310265 ;\n", + "Epoch 980/1000, Cost: 1.7594\n", + " and the parameters are [-3.27887937 4.40691345] -5.817695229827573 ;\n", + "Epoch 980/1000, Cost: 5.3614\n", + " and the parameters are [-3.27886798 4.40698361] -5.817639075272681 ;\n", + "Epoch 980/1000, Cost: 1.3910\n", + " and the parameters are [-3.27882902 4.40698849] -5.817671923010853 ;\n", + "Epoch 980/1000, Cost: 1.4992\n", + " and the parameters are [-3.27883546 4.40702897] -5.817647795267542 ;\n", + "Epoch 980/1000, Cost: 1.5427\n", + " and the parameters are [-3.27881523 4.40708983] -5.817634936278476 ;\n", + "Epoch 980/1000, Cost: 4.6462\n", + " and the parameters are [-3.27881588 4.40699266] -5.817717261379286 ;\n", + "Epoch 980/1000, Cost: 1.9361\n", + " and the parameters are [-3.27884333 4.40691625] -5.817777265461096 ;\n", + "Epoch 980/1000, Cost: 2.4480\n", + " and the parameters are [-3.27885671 4.40689799] -5.817802162937435 ;\n", + "Epoch 980/1000, Cost: 1.2892\n", + " and the parameters are [-3.27887969 4.40687888] -5.817822827939503 ;\n", + "Epoch 980/1000, Cost: 3.4266\n", + " and the parameters are [-3.27888927 4.40684392] -5.817858475494058 ;\n", + "Epoch 980/1000, Cost: 1.5443\n", + " and the parameters are [-3.27892695 4.40686144] -5.817845246323542 ;\n", + "Epoch 980/1000, Cost: 1.9665\n", + " and the parameters are [-3.27891298 4.40687046] -5.817865543204078 ;\n", + "Epoch 980/1000, Cost: 2.5729\n", + " and the parameters are [-3.27890321 4.40693079] -5.817825381288333 ;\n", + "Epoch 980/1000, Cost: 2.5979\n", + " and the parameters are [-3.27892061 4.40682747] -5.817913305707142 ;\n", + "Epoch 980/1000, Cost: 3.2707\n", + " and the parameters are [-3.2788893 4.40683248] -5.817951739683591 ;\n", + "Epoch 980/1000, Cost: 3.4582\n", + " and the parameters are [-3.27892359 4.40687253] -5.817910263543507 ;\n", + "Epoch 980/1000, Cost: 3.6029\n", + " and the parameters are [-3.2788678 4.40691471] -5.817925539176687 ;\n", + "Epoch 980/1000, Cost: 3.4322\n", + " and the parameters are [-3.27883221 4.40697596] -5.8178989821721725 ;\n", + "Epoch 980/1000, Cost: 3.5113\n", + " and the parameters are [-3.27882423 4.40699293] -5.8179041046002995 ;\n", + "Epoch 980/1000, Cost: 2.0394\n", + " and the parameters are [-3.27880763 4.40703069] -5.817907995523353 ;\n", + "Epoch 980/1000, Cost: 4.3301\n", + " and the parameters are [-3.27889289 4.40690329] -5.81796479989234 ;\n", + "Epoch 980/1000, Cost: 2.1618\n", + " and the parameters are [-3.27890986 4.40692012] -5.817958857969126 ;\n", + "Epoch 980/1000, Cost: 6.4860\n", + " and the parameters are [-3.27896425 4.40690642] -5.81794760702337 ;\n", + "Epoch 980/1000, Cost: 3.1346\n", + " and the parameters are [-3.27904887 4.40680901] -5.817992560613601 ;\n", + "Epoch 980/1000, Cost: 1.5143\n", + " and the parameters are [-3.27903646 4.4068785 ] -5.817969209375311 ;\n", + "Epoch 980/1000, Cost: 5.3979\n", + " and the parameters are [-3.27899846 4.40697265] -5.817916424123379 ;\n", + "Epoch 980/1000, Cost: 2.7764\n", + " and the parameters are [-3.27905769 4.40701601] -5.8178599489265 ;\n", + "Epoch 980/1000, Cost: 2.6698\n", + " and the parameters are [-3.27903187 4.40698714] -5.817919516506472 ;\n", + "Epoch 980/1000, Cost: 1.6366\n", + " and the parameters are [-3.27903623 4.4069362 ] -5.81797347788328 ;\n", + "Epoch 980/1000, Cost: 1.1987\n", + " and the parameters are [-3.27902776 4.40699278] -5.817959014324724 ;\n", + "Epoch 980/1000, Cost: 5.8104\n", + " and the parameters are [-3.27903848 4.40684071] -5.818054548962688 ;\n", + "Epoch 980/1000, Cost: 2.6458\n", + " and the parameters are [-3.27901629 4.4068315 ] -5.818083364414835 ;\n", + "Epoch 980/1000, Cost: 1.1754\n", + " and the parameters are [-3.27902827 4.40689442] -5.818051418554469 ;\n", + "Epoch 980/1000, Cost: 4.4652\n", + " and the parameters are [-3.27903697 4.40676251] -5.818149699999808 ;\n", + "Epoch 980/1000, Cost: 2.8804\n", + " and the parameters are [-3.27911548 4.40668025] -5.818190238676417 ;\n", + "Epoch 980/1000, Cost: 2.8380\n", + " and the parameters are [-3.27910217 4.40679278] -5.818130718677231 ;\n", + "Epoch 980/1000, Cost: 5.7742\n", + " and the parameters are [-3.27908426 4.40681123] -5.818118613624564 ;\n", + "Epoch 980/1000, Cost: 2.8070\n", + " and the parameters are [-3.27911601 4.40679028] -5.818139061346745 ;\n", + "Epoch 980/1000, Cost: 4.9735\n", + " and the parameters are [-3.27919441 4.40662899] -5.818223401780775 ;\n", + "Epoch 980/1000, Cost: 0.5800\n", + " and the parameters are [-3.279195 4.40662946] -5.818237945568901 ;\n", + "Epoch 980/1000, Cost: 6.1229\n", + " and the parameters are [-3.27919648 4.40657361] -5.818275143813154 ;\n", + "Epoch 980/1000, Cost: 2.0891\n", + " and the parameters are [-3.27922156 4.40657846] -5.818281375471853 ;\n", + "Epoch 980/1000, Cost: 1.3175\n", + " and the parameters are [-3.27923667 4.40654747] -5.818316555330293 ;\n", + "Epoch 980/1000, Cost: 1.9035\n", + " and the parameters are [-3.279282 4.40655994] -5.818308931357379 ;\n", + "Epoch 980/1000, Cost: 6.5264\n", + " and the parameters are [-3.27927149 4.40659006] -5.818276869020059 ;\n", + "Epoch 980/1000, Cost: 2.2974\n", + " and the parameters are [-3.27930207 4.40661772] -5.818254975644345 ;\n", + "Epoch 980/1000, Cost: 1.5156\n", + " and the parameters are [-3.27929088 4.40671619] -5.818211284802789 ;\n", + "Epoch 980/1000, Cost: 1.5054\n", + " and the parameters are [-3.27929539 4.4067737 ] -5.818182477343616 ;\n", + "Epoch 980/1000, Cost: 6.9584\n", + " and the parameters are [-3.27929091 4.40676958] -5.818166487211285 ;\n", + "Epoch 980/1000, Cost: 8.8724\n", + " and the parameters are [-3.2792312 4.40679764] -5.818137606524035 ;\n", + "Epoch 980/1000, Cost: 2.3569\n", + " and the parameters are [-3.27924127 4.40673922] -5.818186832586105 ;\n", + "Epoch 980/1000, Cost: 5.0158\n", + " and the parameters are [-3.2792362 4.40677967] -5.818157051894332 ;\n", + "Epoch 980/1000, Cost: 3.8464\n", + " and the parameters are [-3.27926235 4.40687109] -5.8180986814710565 ;\n", + "Epoch 980/1000, Cost: 2.5172\n", + " and the parameters are [-3.27928236 4.40680908] -5.818143924222857 ;\n", + "Epoch 980/1000, Cost: 2.7350\n", + " and the parameters are [-3.27932516 4.40682092] -5.818117070773085 ;\n", + "Epoch 980/1000, Cost: 3.0102\n", + " and the parameters are [-3.27925423 4.40692253] -5.818099700040533 ;\n", + "Epoch 980/1000, Cost: 5.0075\n", + " and the parameters are [-3.27925788 4.40687803] -5.818136934083027 ;\n", + "Epoch 980/1000, Cost: 2.6964\n", + " and the parameters are [-3.27929128 4.40690429] -5.818121231815752 ;\n", + "Epoch 980/1000, Cost: 2.6817\n", + " and the parameters are [-3.27931357 4.40684934] -5.818177256287636 ;\n", + "Epoch 980/1000, Cost: 1.6658\n", + " and the parameters are [-3.2792783 4.40685762] -5.818213987463204 ;\n", + "Epoch 980/1000, Cost: 3.8045\n", + " and the parameters are [-3.27927926 4.40694744] -5.818157665596326 ;\n", + "Epoch 980/1000, Cost: 2.3634\n", + " and the parameters are [-3.27929286 4.40698863] -5.818147057584055 ;\n", + "Epoch 980/1000, Cost: 3.8608\n", + " and the parameters are [-3.27920454 4.40712264] -5.818103965912282 ;\n", + "Epoch 980/1000, Cost: 1.6484\n", + " and the parameters are [-3.27918523 4.40712611] -5.818138702039385 ;\n", + "Epoch 980/1000, Cost: 1.0999\n", + " and the parameters are [-3.27916592 4.40713477] -5.818161434152966 ;\n", + "Epoch 980/1000, Cost: 3.2507\n", + " and the parameters are [-3.27920611 4.40704841] -5.8182127003132615 ;\n", + "Epoch 980/1000, Cost: 0.9645\n", + " and the parameters are [-3.27919041 4.4071059 ] -5.818197356851509 ;\n", + "Epoch 980/1000, Cost: 3.1491\n", + " and the parameters are [-3.27912517 4.40720731] -5.818171837256406 ;\n", + "Epoch 980/1000, Cost: 2.6189\n", + " and the parameters are [-3.27916286 4.40721057] -5.818162692356675 ;\n", + "Epoch 980/1000, Cost: 0.8103\n", + " and the parameters are [-3.2791459 4.40726126] -5.818145510565056 ;\n", + "Epoch 980/1000, Cost: 2.5815\n", + " and the parameters are [-3.27910019 4.40735936] -5.818112485791575 ;\n", + "Epoch 980/1000, Cost: 3.9410\n", + " and the parameters are [-3.27912318 4.40726416] -5.818174906452117 ;\n", + "Epoch 980/1000, Cost: 1.1758\n", + " and the parameters are [-3.27912426 4.40726344] -5.818196644948083 ;\n", + "Epoch 980/1000, Cost: 2.3770\n", + " and the parameters are [-3.27916027 4.40730254] -5.818164817917742 ;\n", + "Epoch 980/1000, Cost: 0.3455\n", + " and the parameters are [-3.27916911 4.40731305] -5.818162751050346 ;\n", + "Epoch 980/1000, Cost: 2.4808\n", + " and the parameters are [-3.27915864 4.40736155] -5.81815584592381 ;\n", + "Epoch 980/1000, Cost: 1.7436\n", + " and the parameters are [-3.27914726 4.40741138] -5.8181469493268265 ;\n", + "Epoch 980/1000, Cost: 1.5166\n", + " and the parameters are [-3.27916933 4.40741225] -5.818157050002461 ;\n", + "Epoch 980/1000, Cost: 1.7724\n", + " and the parameters are [-3.279215 4.40741678] -5.818153343090855 ;\n", + "Epoch 980/1000, Cost: 1.4121\n", + " and the parameters are [-3.27917818 4.40748006] -5.8181483501810005 ;\n", + "Epoch 980/1000, Cost: 2.2921\n", + " and the parameters are [-3.27917361 4.40752924] -5.8181394135123 ;\n", + "Epoch 980/1000, Cost: 2.2554\n", + " and the parameters are [-3.27912915 4.40766773] -5.8180911819345065 ;\n", + "Epoch 980/1000, Cost: 4.2694\n", + " and the parameters are [-3.27910983 4.40759004] -5.8181680001804725 ;\n", + "Epoch 980/1000, Cost: 5.8203\n", + " and the parameters are [-3.27912166 4.40750762] -5.818215742132942 ;\n", + "Epoch 980/1000, Cost: 3.2958\n", + " and the parameters are [-3.27910977 4.40753784] -5.818218145192717 ;\n", + "Epoch 980/1000, Cost: 2.4824\n", + " and the parameters are [-3.27907405 4.40760042] -5.818211061451764 ;\n", + "Epoch 980/1000, Cost: 1.7294\n", + " and the parameters are [-3.27909825 4.40754837] -5.818256788291618 ;\n", + "Epoch 980/1000, Cost: 2.3426\n", + " and the parameters are [-3.27912466 4.40750666] -5.818295843139044 ;\n", + "Epoch 980/1000, Cost: 3.2540\n", + " and the parameters are [-3.27913934 4.40740785] -5.818372173408325 ;\n", + "Epoch 980/1000, Cost: 5.8918\n", + " and the parameters are [-3.27911281 4.40729192] -5.818465468194623 ;\n", + "Epoch 980/1000, Cost: 0.9792\n", + " and the parameters are [-3.27912434 4.40729405] -5.81848079765822 ;\n", + "Epoch 980/1000, Cost: 6.8659\n", + " and the parameters are [-3.27903401 4.40721853] -5.818572405749263 ;\n", + "Epoch 980/1000, Cost: 4.5916\n", + " and the parameters are [-3.27904142 4.40730644] -5.8185022343340815 ;\n", + "Epoch 980/1000, Cost: 1.3484\n", + " and the parameters are [-3.27907025 4.40733321] -5.818487278966253 ;\n", + "Epoch 980/1000, Cost: 2.7665\n", + " and the parameters are [-3.2790435 4.40728077] -5.81855315293663 ;\n", + "Epoch 980/1000, Cost: 5.0353\n", + " and the parameters are [-3.27907873 4.40734734] -5.818487815481266 ;\n", + "Epoch 980/1000, Cost: 1.5973\n", + " and the parameters are [-3.27904483 4.40738358] -5.818507441145088 ;\n", + "Epoch 980/1000, Cost: 3.1546\n", + " and the parameters are [-3.27900749 4.40742537] -5.8185126244397685 ;\n", + "Epoch 980/1000, Cost: 3.4415\n", + " and the parameters are [-3.2790098 4.40745543] -5.818505099431418 ;\n", + "Epoch 980/1000, Cost: 4.5615\n", + " and the parameters are [-3.27910535 4.40733896] -5.818552020775724 ;\n", + "Epoch 980/1000, Cost: 2.6044\n", + " and the parameters are [-3.27906072 4.40733851] -5.818589064984108 ;\n", + "Epoch 980/1000, Cost: 0.6497\n", + " and the parameters are [-3.27905163 4.40737274] -5.818584257948261 ;\n", + "Epoch 980/1000, Cost: 1.4867\n", + " and the parameters are [-3.27904369 4.40733405] -5.818641253867467 ;\n", + "Epoch 980/1000, Cost: 5.3048\n", + " and the parameters are [-3.27906589 4.40737666] -5.818580083929687 ;\n", + "Epoch 980/1000, Cost: 2.0498\n", + " and the parameters are [-3.2790459 4.40751021] -5.818513884376054 ;\n", + "Epoch 980/1000, Cost: 2.4992\n", + " and the parameters are [-3.27901915 4.40747702] -5.818580339278493 ;\n", + "Epoch 980/1000, Cost: 1.4675\n", + " and the parameters are [-3.27902243 4.4074566 ] -5.818616811358768 ;\n", + "Epoch 980/1000, Cost: 1.9370\n", + " and the parameters are [-3.27902217 4.40751024] -5.818597322772929 ;\n", + "Epoch 980/1000, Cost: 7.3442\n", + " and the parameters are [-3.2789322 4.40771456] -5.8184982832730086 ;\n", + "Epoch 980/1000, Cost: 4.1281\n", + " and the parameters are [-3.27896617 4.40762985] -5.818539684992532 ;\n", + "Epoch 980/1000, Cost: 1.5538\n", + " and the parameters are [-3.27900047 4.40765929] -5.818513663331825 ;\n", + "Epoch 980/1000, Cost: 2.3564\n", + " and the parameters are [-3.27902754 4.40772886] -5.81847223135837 ;\n", + "Epoch 980/1000, Cost: 2.2737\n", + " and the parameters are [-3.27903871 4.40774347] -5.818468518209829 ;\n", + "Epoch 980/1000, Cost: 1.3484\n", + " and the parameters are [-3.27902278 4.40782041] -5.818440666188332 ;\n", + "Epoch 980/1000, Cost: 3.3126\n", + " and the parameters are [-3.27893428 4.40786667] -5.818479254067945 ;\n", + "Epoch 980/1000, Cost: 2.7052\n", + " and the parameters are [-3.27899815 4.40786202] -5.818471120761811 ;\n", + "Epoch 980/1000, Cost: 2.6919\n", + " and the parameters are [-3.27909426 4.40775463] -5.8185204993358015 ;\n", + "Epoch 980/1000, Cost: 1.0972\n", + " and the parameters are [-3.27908151 4.40774058] -5.81855682201197 ;\n", + "Epoch 980/1000, Cost: 3.0599\n", + " and the parameters are [-3.2791186 4.40770711] -5.8185655515841725 ;\n", + "Epoch 980/1000, Cost: 5.2404\n", + " and the parameters are [-3.27912933 4.40776321] -5.818496939377885 ;\n", + "Epoch 980/1000, Cost: 1.9910\n", + " and the parameters are [-3.2791994 4.40768901] -5.818533584025585 ;\n", + "Epoch 980/1000, Cost: 2.8942\n", + " and the parameters are [-3.27918128 4.40774237] -5.81853283972885 ;\n", + "Epoch 980/1000, Cost: 1.0895\n", + " and the parameters are [-3.27916389 4.40780822] -5.818509336486195 ;\n", + "Epoch 980/1000, Cost: 0.7810\n", + " and the parameters are [-3.2791588 4.40780141] -5.818533327658071 ;\n", + "Epoch 980/1000, Cost: 5.5040\n", + " and the parameters are [-3.27919764 4.40768311] -5.818593140670487 ;\n", + "Epoch 980/1000, Cost: 7.2068\n", + " and the parameters are [-3.27934511 4.40744319] -5.818671237659756 ;\n", + "Epoch 980/1000, Cost: 1.0207\n", + " and the parameters are [-3.27934854 4.40743537] -5.818691198644937 ;\n", + "Epoch 980/1000, Cost: 1.5637\n", + " and the parameters are [-3.2793493 4.40746113] -5.818699454761299 ;\n", + "Epoch 980/1000, Cost: 3.9984\n", + " and the parameters are [-3.27937178 4.40746892] -5.818684753268433 ;\n", + "Epoch 980/1000, Cost: 1.4013\n", + " and the parameters are [-3.27936992 4.40745375] -5.818726911565734 ;\n", + "Epoch 980/1000, Cost: 5.2837\n", + " and the parameters are [-3.27948183 4.40737631] -5.818735910285436 ;\n", + "Epoch 980/1000, Cost: 1.2337\n", + " and the parameters are [-3.27945548 4.40738492] -5.818762217426525 ;\n", + "Epoch 990/1000, Cost: 2.2021\n", + " and the parameters are [-3.28669955 4.41672531] -5.831794570258089 ;\n", + "Epoch 990/1000, Cost: 3.4600\n", + " and the parameters are [-3.28673409 4.41665756] -5.8318350406482375 ;\n", + "Epoch 990/1000, Cost: 2.0054\n", + " and the parameters are [-3.28667471 4.41666762] -5.831884353282856 ;\n", + "Epoch 990/1000, Cost: 2.8897\n", + " and the parameters are [-3.28661483 4.41680088] -5.831834572703429 ;\n", + "Epoch 990/1000, Cost: 1.4183\n", + " and the parameters are [-3.28666272 4.41678595] -5.83184449485017 ;\n", + "Epoch 990/1000, Cost: 1.2980\n", + " and the parameters are [-3.28665558 4.41683131] -5.831838793978414 ;\n", + "Epoch 990/1000, Cost: 7.1721\n", + " and the parameters are [-3.28668885 4.41675176] -5.831861750198002 ;\n", + "Epoch 990/1000, Cost: 1.3610\n", + " and the parameters are [-3.28670717 4.41674259] -5.83188399568541 ;\n", + "Epoch 990/1000, Cost: 0.8006\n", + " and the parameters are [-3.28670866 4.41674178] -5.831902017085379 ;\n", + "Epoch 990/1000, Cost: 4.6746\n", + " and the parameters are [-3.28679258 4.41673477] -5.831862479057052 ;\n", + "Epoch 990/1000, Cost: 1.0371\n", + " and the parameters are [-3.28680183 4.41673068] -5.831875748816659 ;\n", + "Epoch 990/1000, Cost: 1.9447\n", + " and the parameters are [-3.28686808 4.41673112] -5.831842072399505 ;\n", + "Epoch 990/1000, Cost: 0.9739\n", + " and the parameters are [-3.2868765 4.41673507] -5.8318555078206 ;\n", + "Epoch 990/1000, Cost: 2.7137\n", + " and the parameters are [-3.28687055 4.41680836] -5.831826461857066 ;\n", + "Epoch 990/1000, Cost: 0.7667\n", + " and the parameters are [-3.28686574 4.41681337] -5.8318426083734725 ;\n", + "Epoch 990/1000, Cost: 3.5067\n", + " and the parameters are [-3.28681798 4.41678516] -5.831902479686375 ;\n", + "Epoch 990/1000, Cost: 10.5090\n", + " and the parameters are [-3.28692679 4.41674773] -5.831836645015587 ;\n", + "Epoch 990/1000, Cost: 2.1715\n", + " and the parameters are [-3.28695233 4.41667746] -5.831890073242266 ;\n", + "Epoch 990/1000, Cost: 1.3900\n", + " and the parameters are [-3.28692496 4.41667294] -5.831923256131847 ;\n", + "Epoch 990/1000, Cost: 3.8274\n", + " and the parameters are [-3.28689634 4.41674001] -5.831907277290284 ;\n", + "Epoch 990/1000, Cost: 1.8898\n", + " and the parameters are [-3.28688981 4.41682779] -5.831860025185152 ;\n", + "Epoch 990/1000, Cost: 3.1514\n", + " and the parameters are [-3.28694036 4.41685122] -5.831818743075366 ;\n", + "Epoch 990/1000, Cost: 2.4056\n", + " and the parameters are [-3.28690784 4.41695839] -5.831778408131614 ;\n", + "Epoch 990/1000, Cost: 3.0827\n", + " and the parameters are [-3.28688728 4.4169259 ] -5.831815556003052 ;\n", + "Epoch 990/1000, Cost: 1.9527\n", + " and the parameters are [-3.28686073 4.41695037] -5.831836268221735 ;\n", + "Epoch 990/1000, Cost: 1.5207\n", + " and the parameters are [-3.2868602 4.41701096] -5.8318155303647945 ;\n", + "Epoch 990/1000, Cost: 3.9928\n", + " and the parameters are [-3.28681725 4.41692285] -5.831924560723913 ;\n", + "Epoch 990/1000, Cost: 7.3885\n", + " and the parameters are [-3.2867982 4.416999 ] -5.831862026522844 ;\n", + "Epoch 990/1000, Cost: 1.6119\n", + " and the parameters are [-3.28675789 4.41710503] -5.831820600382933 ;\n", + "Epoch 990/1000, Cost: 1.9818\n", + " and the parameters are [-3.28680901 4.41703733] -5.831860508379395 ;\n", + "Epoch 990/1000, Cost: 3.5510\n", + " and the parameters are [-3.28681872 4.41698707] -5.83192846305583 ;\n", + "Epoch 990/1000, Cost: 5.2189\n", + " and the parameters are [-3.28686572 4.41695763] -5.831938151382832 ;\n", + "Epoch 990/1000, Cost: 4.1570\n", + " and the parameters are [-3.28675628 4.41709721] -5.831896150819569 ;\n", + "Epoch 990/1000, Cost: 2.2683\n", + " and the parameters are [-3.28674084 4.41717485] -5.831861927665241 ;\n", + "Epoch 990/1000, Cost: 0.6305\n", + " and the parameters are [-3.28674736 4.41718238] -5.831869883768155 ;\n", + "Epoch 990/1000, Cost: 3.9226\n", + " and the parameters are [-3.28677596 4.41710332] -5.831934110444249 ;\n", + "Epoch 990/1000, Cost: 7.6722\n", + " and the parameters are [-3.28672621 4.41702481] -5.831992035903502 ;\n", + "Epoch 990/1000, Cost: 0.6462\n", + " and the parameters are [-3.28674196 4.41703178] -5.83199373324326 ;\n", + "Epoch 990/1000, Cost: 1.7980\n", + " and the parameters are [-3.28674564 4.41702752] -5.832004516491368 ;\n", + "Epoch 990/1000, Cost: 3.2234\n", + " and the parameters are [-3.2867137 4.41698648] -5.832065055992721 ;\n", + "Epoch 990/1000, Cost: 3.2756\n", + " and the parameters are [-3.28665519 4.41695885] -5.832111492064038 ;\n", + "Epoch 990/1000, Cost: 3.3949\n", + " and the parameters are [-3.28655133 4.41702966] -5.832135157744836 ;\n", + "Epoch 990/1000, Cost: 5.7014\n", + " and the parameters are [-3.28660199 4.41693684] -5.832158333828574 ;\n", + "Epoch 990/1000, Cost: 3.8808\n", + " and the parameters are [-3.28668513 4.41680904] -5.8322184191655255 ;\n", + "Epoch 990/1000, Cost: 2.6242\n", + " and the parameters are [-3.28661125 4.41691393] -5.832202921981783 ;\n", + "Epoch 990/1000, Cost: 0.8794\n", + " and the parameters are [-3.28661875 4.41694742] -5.832193125450402 ;\n", + "Epoch 990/1000, Cost: 3.9584\n", + " and the parameters are [-3.28662536 4.41698465] -5.832163817822315 ;\n", + "Epoch 990/1000, Cost: 2.9940\n", + " and the parameters are [-3.2865782 4.41705519] -5.8321492733969365 ;\n", + "Epoch 990/1000, Cost: 2.7783\n", + " and the parameters are [-3.28661557 4.41713172] -5.832074479283396 ;\n", + "Epoch 990/1000, Cost: 3.3253\n", + " and the parameters are [-3.28657556 4.41725915] -5.832018323541741 ;\n", + "Epoch 990/1000, Cost: 2.3983\n", + " and the parameters are [-3.28660768 4.417264 ] -5.832021378828581 ;\n", + "Epoch 990/1000, Cost: 6.0631\n", + " and the parameters are [-3.28656287 4.41724641] -5.832049098496261 ;\n", + "Epoch 990/1000, Cost: 4.8043\n", + " and the parameters are [-3.28661162 4.4172019 ] -5.8320745763958115 ;\n", + "Epoch 990/1000, Cost: 1.4285\n", + " and the parameters are [-3.28666699 4.41719028] -5.832070674016964 ;\n", + "Epoch 990/1000, Cost: 6.4217\n", + " and the parameters are [-3.28676143 4.41711263] -5.832074322475215 ;\n", + "Epoch 990/1000, Cost: 4.7389\n", + " and the parameters are [-3.28679724 4.41710591] -5.8320539590990235 ;\n", + "Epoch 990/1000, Cost: 3.5078\n", + " and the parameters are [-3.2867734 4.41716488] -5.832038784126528 ;\n", + "Epoch 990/1000, Cost: 5.5690\n", + " and the parameters are [-3.28677675 4.41705751] -5.832112780304234 ;\n", + "Epoch 990/1000, Cost: 0.5854\n", + " and the parameters are [-3.28679307 4.41705199] -5.832122240436803 ;\n", + "Epoch 990/1000, Cost: 8.7425\n", + " and the parameters are [-3.28677055 4.41687147] -5.832226636817666 ;\n", + "Epoch 990/1000, Cost: 5.2798\n", + " and the parameters are [-3.28677117 4.41684582] -5.83225173106311 ;\n", + "Epoch 990/1000, Cost: 1.4653\n", + " and the parameters are [-3.28675528 4.41683449] -5.832288438707959 ;\n", + "Epoch 990/1000, Cost: 1.5057\n", + " and the parameters are [-3.28674736 4.41684255] -5.8323125884022184 ;\n", + "Epoch 990/1000, Cost: 1.8671\n", + " and the parameters are [-3.2867874 4.41685846] -5.832294715657132 ;\n", + "Epoch 990/1000, Cost: 0.7690\n", + " and the parameters are [-3.28680939 4.41687044] -5.832291322113551 ;\n", + "Epoch 990/1000, Cost: 2.3104\n", + " and the parameters are [-3.28686505 4.41687048] -5.832276983857521 ;\n", + "Epoch 990/1000, Cost: 1.9396\n", + " and the parameters are [-3.28686381 4.41696603] -5.8322298268422985 ;\n", + "Epoch 990/1000, Cost: 3.6948\n", + " and the parameters are [-3.28684113 4.41698812] -5.832234832708919 ;\n", + "Epoch 990/1000, Cost: 1.2688\n", + " and the parameters are [-3.28687329 4.41699745] -5.832222152275565 ;\n", + "Epoch 990/1000, Cost: 2.9134\n", + " and the parameters are [-3.28684425 4.41705079] -5.832219920828963 ;\n", + "Epoch 990/1000, Cost: 1.4592\n", + " and the parameters are [-3.28687548 4.41706788] -5.832205442378068 ;\n", + "Epoch 990/1000, Cost: 3.8284\n", + " and the parameters are [-3.28684872 4.41696146] -5.832315928921878 ;\n", + "Epoch 990/1000, Cost: 1.5209\n", + " and the parameters are [-3.28682197 4.41703712] -5.832290595578 ;\n", + "Epoch 990/1000, Cost: 4.0946\n", + " and the parameters are [-3.28678051 4.41721427] -5.832198227369616 ;\n", + "Epoch 990/1000, Cost: 6.4034\n", + " and the parameters are [-3.28690566 4.41732517] -5.832045500498294 ;\n", + "Epoch 990/1000, Cost: 3.7511\n", + " and the parameters are [-3.28689157 4.41742982] -5.831987987998289 ;\n", + "Epoch 990/1000, Cost: 0.7950\n", + " and the parameters are [-3.28690582 4.41746026] -5.831975891708433 ;\n", + "Epoch 990/1000, Cost: 4.1577\n", + " and the parameters are [-3.28690677 4.4173761 ] -5.832034721035605 ;\n", + "Epoch 990/1000, Cost: 1.4630\n", + " and the parameters are [-3.28690973 4.41737725] -5.832052391871128 ;\n", + "Epoch 990/1000, Cost: 4.0776\n", + " and the parameters are [-3.28697272 4.41741175] -5.832011174363941 ;\n", + "Epoch 990/1000, Cost: 1.2505\n", + " and the parameters are [-3.28699007 4.41746641] -5.831983159137874 ;\n", + "Epoch 990/1000, Cost: 1.0652\n", + " and the parameters are [-3.28700445 4.41744982] -5.832006968253397 ;\n", + "Epoch 990/1000, Cost: 1.1038\n", + " and the parameters are [-3.28701121 4.4174882 ] -5.831998367703319 ;\n", + "Epoch 990/1000, Cost: 3.0296\n", + " and the parameters are [-3.28691666 4.41758126] -5.832000675142631 ;\n", + "Epoch 990/1000, Cost: 1.9045\n", + " and the parameters are [-3.28688851 4.41755245] -5.8320427429478086 ;\n", + "Epoch 990/1000, Cost: 2.5974\n", + " and the parameters are [-3.28687321 4.41763768] -5.8320021166718226 ;\n", + "Epoch 990/1000, Cost: 3.5781\n", + " and the parameters are [-3.28687997 4.41763882] -5.832011851453655 ;\n", + "Epoch 990/1000, Cost: 3.0118\n", + " and the parameters are [-3.28693453 4.41758247] -5.832047597502049 ;\n", + "Epoch 990/1000, Cost: 2.3950\n", + " and the parameters are [-3.28701816 4.4175051 ] -5.832084040848196 ;\n", + "Epoch 990/1000, Cost: 3.3250\n", + " and the parameters are [-3.2871264 4.41729915] -5.832193929725145 ;\n", + "Epoch 990/1000, Cost: 1.8299\n", + " and the parameters are [-3.28713077 4.41727152] -5.832239062550227 ;\n", + "Epoch 990/1000, Cost: 2.6614\n", + " and the parameters are [-3.28714686 4.41723612] -5.832276556817765 ;\n", + "Epoch 990/1000, Cost: 2.7235\n", + " and the parameters are [-3.28719304 4.41722089] -5.832283170161176 ;\n", + "Epoch 990/1000, Cost: 2.5794\n", + " and the parameters are [-3.28721492 4.41721732] -5.832292851721261 ;\n", + "Epoch 990/1000, Cost: 0.9289\n", + " and the parameters are [-3.28720594 4.41725607] -5.832285389939701 ;\n", + "Epoch 990/1000, Cost: 3.3607\n", + " and the parameters are [-3.28730022 4.41716746] -5.832320981487102 ;\n", + "Epoch 990/1000, Cost: 3.1622\n", + " and the parameters are [-3.28734624 4.41709512] -5.832369829072491 ;\n", + "Epoch 990/1000, Cost: 1.4529\n", + " and the parameters are [-3.28730249 4.41711442] -5.832398897928475 ;\n", + "Epoch 990/1000, Cost: 1.0752\n", + " and the parameters are [-3.28733775 4.41708506] -5.832418308976344 ;\n", + "Epoch 990/1000, Cost: 2.0606\n", + " and the parameters are [-3.28736019 4.41710528] -5.832415131580358 ;\n", + "Epoch 990/1000, Cost: 4.5782\n", + " and the parameters are [-3.28733772 4.41713653] -5.832390744152687 ;\n", + "Epoch 990/1000, Cost: 1.4340\n", + " and the parameters are [-3.28734278 4.41716307] -5.832390371832739 ;\n", + "Epoch 990/1000, Cost: 2.1564\n", + " and the parameters are [-3.28731416 4.41719644] -5.832406971653961 ;\n", + "Epoch 990/1000, Cost: 3.6265\n", + " and the parameters are [-3.28729959 4.41732498] -5.8323469190636015 ;\n", + "Epoch 990/1000, Cost: 2.0959\n", + " and the parameters are [-3.28733588 4.41727055] -5.832387090170567 ;\n", + "Epoch 990/1000, Cost: 3.7325\n", + " and the parameters are [-3.28734025 4.41721504] -5.832430306300086 ;\n", + "Epoch 990/1000, Cost: 2.0323\n", + " and the parameters are [-3.28733898 4.41716052] -5.832477069211744 ;\n", + "Epoch 990/1000, Cost: 2.9322\n", + " and the parameters are [-3.28732972 4.41727716] -5.832403108418098 ;\n", + "Epoch 990/1000, Cost: 6.0754\n", + " and the parameters are [-3.28731729 4.41726719] -5.832409137278086 ;\n", + "Epoch 990/1000, Cost: 4.1329\n", + " and the parameters are [-3.28732363 4.41714387] -5.832487583015314 ;\n", + "Epoch 990/1000, Cost: 2.0661\n", + " and the parameters are [-3.28730534 4.41710931] -5.832549134796022 ;\n", + "Epoch 990/1000, Cost: 6.9454\n", + " and the parameters are [-3.28738101 4.41685994] -5.832709552917633 ;\n", + "Epoch 990/1000, Cost: 0.8466\n", + " and the parameters are [-3.28738858 4.41687934] -5.832710321655148 ;\n", + "Epoch 990/1000, Cost: 4.2403\n", + " and the parameters are [-3.28743775 4.41684418] -5.832728698037435 ;\n", + "Epoch 990/1000, Cost: 4.8575\n", + " and the parameters are [-3.28753718 4.41669443] -5.832805944059026 ;\n", + "Epoch 990/1000, Cost: 1.9320\n", + " and the parameters are [-3.28756105 4.41663362] -5.832860165262371 ;\n", + "Epoch 990/1000, Cost: 1.4132\n", + " and the parameters are [-3.28757566 4.41664172] -5.832866615551867 ;\n", + "Epoch 990/1000, Cost: 2.3020\n", + " and the parameters are [-3.28759401 4.41668813] -5.832847975025084 ;\n", + "Epoch 990/1000, Cost: 5.4917\n", + " and the parameters are [-3.28773472 4.4166557 ] -5.8328032723204215 ;\n", + "Epoch 990/1000, Cost: 2.8709\n", + " and the parameters are [-3.28767691 4.41666956] -5.832826840317894 ;\n", + "Epoch 990/1000, Cost: 5.3295\n", + " and the parameters are [-3.28766632 4.41674812] -5.832761858635854 ;\n", + "Epoch 990/1000, Cost: 2.1479\n", + " and the parameters are [-3.28768822 4.41667758] -5.832819959412712 ;\n", + "Epoch 990/1000, Cost: 0.8454\n", + " and the parameters are [-3.28768688 4.41672742] -5.8328022119304865 ;\n", + "Epoch 990/1000, Cost: 4.2441\n", + " and the parameters are [-3.28760864 4.41676218] -5.832825774015076 ;\n", + "Epoch 990/1000, Cost: 5.9462\n", + " and the parameters are [-3.28764821 4.41674893] -5.832810296761204 ;\n", + "Epoch 990/1000, Cost: 0.8405\n", + " and the parameters are [-3.28764073 4.41679904] -5.832795851191331 ;\n", + "Epoch 990/1000, Cost: 4.0700\n", + " and the parameters are [-3.28769484 4.41682287] -5.832776214533068 ;\n", + "Epoch 990/1000, Cost: 1.0557\n", + " and the parameters are [-3.28769401 4.41684632] -5.832777492052632 ;\n", + "Epoch 990/1000, Cost: 3.2567\n", + " and the parameters are [-3.28770555 4.41680011] -5.832820703144398 ;\n", + "Epoch 990/1000, Cost: 6.8959\n", + " and the parameters are [-3.28767898 4.4169019 ] -5.832739508017418 ;\n", + "Epoch 990/1000, Cost: 0.4314\n", + " and the parameters are [-3.28767677 4.4168978 ] -5.832754817880572 ;\n", + "Epoch 990/1000, Cost: 6.5088\n", + " and the parameters are [-3.28766288 4.41700722] -5.832667357030757 ;\n", + "Epoch 990/1000, Cost: 3.4228\n", + " and the parameters are [-3.28768692 4.4169922 ] -5.832674810118224 ;\n", + "Epoch 990/1000, Cost: 1.1982\n", + " and the parameters are [-3.28770658 4.41701286] -5.832664182253275 ;\n", + "Epoch 990/1000, Cost: 3.0695\n", + " and the parameters are [-3.2876823 4.4170181] -5.83270214146811 ;\n", + "Epoch 990/1000, Cost: 1.2450\n", + " and the parameters are [-3.28767409 4.41707912] -5.832679664721702 ;\n", + "Epoch 990/1000, Cost: 1.5086\n", + " and the parameters are [-3.28764888 4.41707441] -5.832722131925115 ;\n", + "Epoch 990/1000, Cost: 2.5547\n", + " and the parameters are [-3.28763005 4.41720562] -5.832645325703248 ;\n", + "Epoch 990/1000, Cost: 4.9863\n", + " and the parameters are [-3.28768249 4.41714138] -5.8326790957553625 ;\n", + "Epoch 990/1000, Cost: 0.8819\n", + " and the parameters are [-3.28769637 4.41712405] -5.832697973842851 ;\n", + "Epoch 990/1000, Cost: 0.6094\n", + " and the parameters are [-3.28768205 4.41714694] -5.832702839136814 ;\n", + "Epoch 990/1000, Cost: 2.4425\n", + " and the parameters are [-3.28773499 4.41706225] -5.83276465119427 ;\n", + "Epoch 990/1000, Cost: 6.1380\n", + " and the parameters are [-3.28783403 4.41701178] -5.832731806897911 ;\n", + "Epoch 990/1000, Cost: 7.8570\n", + " and the parameters are [-3.2877335 4.41713223] -5.83269577283178 ;\n", + "Epoch 990/1000, Cost: 1.3474\n", + " and the parameters are [-3.28770288 4.4172274 ] -5.832658905756251 ;\n", + "Epoch 990/1000, Cost: 2.7003\n", + " and the parameters are [-3.28768402 4.41717377] -5.832726193696669 ;\n", + "Epoch 990/1000, Cost: 1.4094\n", + " and the parameters are [-3.28765757 4.41724065] -5.8327091990109965 ;\n", + "Epoch 990/1000, Cost: 5.3780\n", + " and the parameters are [-3.28765136 4.41722289] -5.832719092277576 ;\n", + "Epoch 990/1000, Cost: 2.3593\n", + " and the parameters are [-3.28767686 4.41716352] -5.832767952118803 ;\n", + "Epoch 990/1000, Cost: 2.1316\n", + " and the parameters are [-3.28765918 4.4171729 ] -5.8327953398759815 ;\n", + "Epoch 990/1000, Cost: 1.7102\n", + " and the parameters are [-3.2877046 4.41710517] -5.8328399269563285 ;\n", + "Epoch 990/1000, Cost: 3.0430\n", + " and the parameters are [-3.2876691 4.41712224] -5.832853436447072 ;\n", + "Epoch 990/1000, Cost: 4.4298\n", + " and the parameters are [-3.28767179 4.41714315] -5.832838273239826 ;\n", + "Epoch 990/1000, Cost: 7.7132\n", + " and the parameters are [-3.2876201 4.41710927] -5.832887938939105 ;\n", + "Epoch 990/1000, Cost: 2.3618\n", + " and the parameters are [-3.28764084 4.41709592] -5.8329122822681265 ;\n", + "Epoch 990/1000, Cost: 1.9741\n", + " and the parameters are [-3.28763731 4.41705687] -5.832970189839061 ;\n", + "Epoch 990/1000, Cost: 2.7661\n", + " and the parameters are [-3.28767304 4.41701487] -5.8330031860111315 ;\n", + "Epoch 990/1000, Cost: 1.6482\n", + " and the parameters are [-3.28762349 4.41707255] -5.833006854285947 ;\n", + "Epoch 990/1000, Cost: 2.3021\n", + " and the parameters are [-3.28765291 4.41707222] -5.833005222835258 ;\n", + "Epoch 990/1000, Cost: 3.6676\n", + " and the parameters are [-3.28772237 4.417071 ] -5.832993719682901 ;\n", + "Epoch 990/1000, Cost: 1.8780\n", + " and the parameters are [-3.28767281 4.41718743] -5.832953359280483 ;\n", + "Epoch 990/1000, Cost: 1.0823\n", + " and the parameters are [-3.28767342 4.4172258 ] -5.8329443095739535 ;\n", + "Epoch 990/1000, Cost: 1.8987\n", + " and the parameters are [-3.2877418 4.4171707] -5.832977962702633 ;\n", + "Epoch 990/1000, Cost: 1.9718\n", + " and the parameters are [-3.28769445 4.41721953] -5.832988772583862 ;\n", + "Epoch 990/1000, Cost: 3.6737\n", + " and the parameters are [-3.2876772 4.41731573] -5.832941384284332 ;\n", + "Epoch 990/1000, Cost: 2.3017\n", + " and the parameters are [-3.28765151 4.41735059] -5.832947155424683 ;\n", + "Epoch 990/1000, Cost: 1.6318\n", + " and the parameters are [-3.28761232 4.4173795 ] -5.832968570285704 ;\n", + "Epoch 990/1000, Cost: 0.9671\n", + " and the parameters are [-3.28759747 4.41741307] -5.832967411737663 ;\n", + "Epoch 990/1000, Cost: 3.6712\n", + " and the parameters are [-3.28763849 4.41728169] -5.833056424768532 ;\n", + "Epoch 990/1000, Cost: 1.2977\n", + " and the parameters are [-3.28762986 4.41729556] -5.833072292052265 ;\n", + "Epoch 990/1000, Cost: 3.7471\n", + " and the parameters are [-3.28762962 4.41738244] -5.8330087602893625 ;\n", + "Epoch 990/1000, Cost: 2.3822\n", + " and the parameters are [-3.28762857 4.41736342] -5.833035757066662 ;\n", + "Epoch 990/1000, Cost: 1.8351\n", + " and the parameters are [-3.2876292 4.41738008] -5.833047351833206 ;\n", + "Epoch 990/1000, Cost: 5.4072\n", + " and the parameters are [-3.28741117 4.41746486] -5.833115047117228 ;\n", + "Epoch 990/1000, Cost: 1.4400\n", + " and the parameters are [-3.28740348 4.41749672] -5.833112484913159 ;\n", + "Epoch 990/1000, Cost: 2.9334\n", + " and the parameters are [-3.28745409 4.41745618] -5.833131693053172 ;\n", + "Epoch 990/1000, Cost: 4.9009\n", + " and the parameters are [-3.28750322 4.41732065] -5.833216195026969 ;\n", + "Epoch 990/1000, Cost: 2.2441\n", + " and the parameters are [-3.28751277 4.41729632] -5.833243428472439 ;\n", + "Epoch 990/1000, Cost: 1.8504\n", + " and the parameters are [-3.28749184 4.41737313] -5.833224235557845 ;\n", + "Epoch 990/1000, Cost: 2.8698\n", + " and the parameters are [-3.28747192 4.41748147] -5.833169670321751 ;\n", + "Epoch 990/1000, Cost: 1.4566\n", + " and the parameters are [-3.28748756 4.41747232] -5.833192244008409 ;\n", + "Epoch 990/1000, Cost: 2.0608\n", + " and the parameters are [-3.28749436 4.4175281 ] -5.833168719050205 ;\n", + "Epoch 990/1000, Cost: 1.2904\n", + " and the parameters are [-3.28748906 4.41749267] -5.833219966359759 ;\n", + "Epoch 990/1000, Cost: 0.7728\n", + " and the parameters are [-3.2875166 4.41749964] -5.8332151188738885 ;\n", + "Epoch 990/1000, Cost: 2.4901\n", + " and the parameters are [-3.28751099 4.41759614] -5.833173061656829 ;\n", + "Epoch 990/1000, Cost: 2.9199\n", + " and the parameters are [-3.28749198 4.41754774] -5.83322737860036 ;\n", + "Epoch 990/1000, Cost: 3.9418\n", + " and the parameters are [-3.28751211 4.41757374] -5.833216220293569 ;\n", + "Epoch 990/1000, Cost: 6.2309\n", + " and the parameters are [-3.28742262 4.41751998] -5.833298016082526 ;\n", + "Epoch 990/1000, Cost: 3.7628\n", + " and the parameters are [-3.28749021 4.41750054] -5.833286923402578 ;\n", + "Epoch 990/1000, Cost: 1.7037\n", + " and the parameters are [-3.28754674 4.41743747] -5.833324147605001 ;\n", + "Epoch 990/1000, Cost: 3.4511\n", + " and the parameters are [-3.28759831 4.41737003] -5.833363529578069 ;\n", + "Epoch 990/1000, Cost: 3.3479\n", + " and the parameters are [-3.28760053 4.41742996] -5.83333655469877 ;\n", + "Epoch 990/1000, Cost: 1.5822\n", + " and the parameters are [-3.28761508 4.41745059] -5.833333830936666 ;\n", + "Epoch 990/1000, Cost: 1.2403\n", + " and the parameters are [-3.28758722 4.4175105 ] -5.8333252829361415 ;\n", + "Epoch 990/1000, Cost: 7.9956\n", + " and the parameters are [-3.28755528 4.417585 ] -5.833254234550571 ;\n", + "Epoch 990/1000, Cost: 2.2725\n", + " and the parameters are [-3.28758738 4.41763023] -5.833225144636692 ;\n", + "Epoch 990/1000, Cost: 0.8070\n", + " and the parameters are [-3.287569 4.41765072] -5.83323606597871 ;\n", + "Epoch 990/1000, Cost: 1.5158\n", + " and the parameters are [-3.28755013 4.41769699] -5.833229415701634 ;\n", + "Epoch 990/1000, Cost: 6.5238\n", + " and the parameters are [-3.28758683 4.41761498] -5.833260163513625 ;\n", + "Epoch 990/1000, Cost: 3.2572\n", + " and the parameters are [-3.28757793 4.41765852] -5.833237726952331 ;\n" + ] + } + ], + "execution_count": 64 }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "metadata": { + "ExecuteTime": { + "end_time": "2025-03-19T09:47:35.522758Z", + "start_time": "2025-03-19T09:47:35.500853Z" + } + }, "source": [ "# when n//batch_size=0\n", "x = np.array(['a', 'b', 'c', 'd', 'e', 'f'])\n", @@ -762,13 +40779,28 @@ "for i in range(0, n, batch_size):\n", " print(f\"batch number {j}\", x_shuffled[i:i + batch_size])\n", " j += 1" - ] + ], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "batch number 0 ['e' 'b']\n", + "batch number 1 ['a' 'd']\n", + "batch number 2 ['c' 'f']\n" + ] + } + ], + "execution_count": 55 }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "metadata": { + "ExecuteTime": { + "end_time": "2025-03-19T09:47:36.146264Z", + "start_time": "2025-03-19T09:47:36.142238Z" + } + }, "source": [ "#when n//batch_size different from zero. \n", "x = np.array(['a', 'b', 'c', 'd', 'e', 'f', 'g'])\n", @@ -781,21 +40813,20 @@ "for i in range(0, n, batch_size):\n", " print(f\"batch number {j}\", x_shuffled[i:i + batch_size])\n", " j += 1" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] + ], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "batch number 0 ['a' 'g']\n", + "batch number 1 ['b' 'c']\n", + "batch number 2 ['f' 'e']\n", + "batch number 3 ['d']\n" + ] + } + ], + "execution_count": 56 }, { "cell_type": "markdown", @@ -813,55 +40844,122 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "metadata": { + "ExecuteTime": { + "end_time": "2025-03-19T09:57:02.992900Z", + "start_time": "2025-03-19T09:57:02.961126Z" + } + }, "source": [ - "w_SGD, b_SGD, costs_SGD = mini_batch_SGD(X, y,\n", - " learning_rate=5e-4, batch_size=1000, epochs=30)\n", + "w_SGD, b_SGD, costs_SGD = mini_batch_SGD(X, y, learning_rate=5e-4, batch_size=1000, epochs=30)\n", "\n", "print(\"The parameters computed by stochastic gradient descent are: \", w_SGD, b_SGD)\n" - ] + ], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 0/30, Cost: 517.4821\n", + " and the parameters are [0.0100902 0.34872694] 0.0005 ;\n", + "Epoch 0/30, Cost: 481.5803\n", + " and the parameters are [-0.02038284 0.49817735] -0.05840138420715016 ;\n", + "Epoch 0/30, Cost: 451.6845\n", + " and the parameters are [-0.05604284 0.59840067] -0.12322652166577681 ;\n", + "Epoch 0/30, Cost: 427.9511\n", + " and the parameters are [-0.09907442 0.67537289] -0.1920781407971993 ;\n", + "Epoch 0/30, Cost: 393.2649\n", + " and the parameters are [-0.12768148 0.75186105] -0.25711154818603743 ;\n", + "Epoch 0/30, Cost: 379.5035\n", + " and the parameters are [-0.16517607 0.80707822] -0.32320945265453194 ;\n", + "Epoch 0/30, Cost: 372.7068\n", + " and the parameters are [-0.21037082 0.84940112] -0.39301979569594525 ;\n", + "Epoch 0/30, Cost: 352.3565\n", + " and the parameters are [-0.24378167 0.89731213] -0.4539372118721294 ;\n", + "Epoch 0/30, Cost: 346.1305\n", + " and the parameters are [-0.27733977 0.9315336 ] -0.5182412337372836 ;\n", + "Epoch 0/30, Cost: 344.1426\n", + " and the parameters are [-0.32075489 0.95664215] -0.5869673362344282 ;\n", + "Epoch 10/30, Cost: 120.5919\n", + " and the parameters are [-1.56276564 2.30411366] -2.7667761766114665 ;\n", + "Epoch 10/30, Cost: 106.4657\n", + " and the parameters are [-1.57145409 2.31107808] -2.77772372603069 ;\n", + "Epoch 10/30, Cost: 110.2785\n", + " and the parameters are [-1.57668725 2.32165009] -2.7887195984588864 ;\n", + "Epoch 10/30, Cost: 114.1944\n", + " and the parameters are [-1.58619994 2.3288374 ] -2.798551270414281 ;\n", + "Epoch 10/30, Cost: 116.7879\n", + " and the parameters are [-1.59125394 2.33390441] -2.8123281018593818 ;\n", + "Epoch 10/30, Cost: 107.4050\n", + " and the parameters are [-1.59396594 2.34602623] -2.822338726112087 ;\n", + "Epoch 10/30, Cost: 103.9823\n", + " and the parameters are [-1.60211601 2.35712485] -2.830673645349568 ;\n", + "Epoch 10/30, Cost: 111.4890\n", + " and the parameters are [-1.61018407 2.3670475 ] -2.8401491294256123 ;\n", + "Epoch 10/30, Cost: 117.9450\n", + " and the parameters are [-1.61379014 2.36881745] -2.8566163818390473 ;\n", + "Epoch 10/30, Cost: 97.5769\n", + " and the parameters are [-1.61900244 2.38021771] -2.8649968844731193 ;\n", + "Epoch 20/30, Cost: 74.8790\n", + " and the parameters are [-2.04835231 2.88160041] -3.6257692392297933 ;\n", + "Epoch 20/30, Cost: 74.3611\n", + " and the parameters are [-2.04883349 2.88918965] -3.632106580051148 ;\n", + "Epoch 20/30, Cost: 85.9549\n", + " and the parameters are [-2.05215336 2.89644278] -3.637058730133923 ;\n", + "Epoch 20/30, Cost: 92.0537\n", + " and the parameters are [-2.06017521 2.89419163] -3.64651223140746 ;\n", + "Epoch 20/30, Cost: 102.7350\n", + " and the parameters are [-2.06664117 2.89677999] -3.6519103684296588 ;\n", + "Epoch 20/30, Cost: 84.0420\n", + " and the parameters are [-2.06960136 2.89933544] -3.6597865871941897 ;\n", + "Epoch 20/30, Cost: 98.0876\n", + " and the parameters are [-2.07258614 2.9054908 ] -3.6642152254433853 ;\n", + "Epoch 20/30, Cost: 83.7860\n", + " and the parameters are [-2.07355854 2.91647527] -3.6665846631694747 ;\n", + "Epoch 20/30, Cost: 76.5630\n", + " and the parameters are [-2.07347247 2.9231254 ] -3.6732151402284354 ;\n", + "Epoch 20/30, Cost: 80.5286\n", + " and the parameters are [-2.07913411 2.92271421] -3.681422173709854 ;\n", + "The parameters computed by stochastic gradient descent are: [-2.34519372 3.24691066] -4.156658220188773\n" + ] + } + ], + "execution_count": 66 }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "metadata": { + "ExecuteTime": { + "end_time": "2025-03-19T09:57:05.419724Z", + "start_time": "2025-03-19T09:57:05.033915Z" + } + }, "source": [ - "# Answer for Exercise 10 - (2): \n", + "plt.figure(figsize=(8, 8))\n", + "plt.scatter(X[:, 0], X[:, 1], c=y, alpha=0.3, cmap=mcolors.ListedColormap([\"steelblue\", \"tomato\"]))\n", "\n", + "x1 = np.linspace(-4, 4, 100)\n", + "x2_SGD = -(w_SGD[0] * x1 + b_SGD) / w_SGD[1]\n", "\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# Answer for Exercise 10 - (3): \n", - "\n", - "\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# Answer for Exercise 12 : \n", - "\n", - "\n", - "\n", - "\n", - "\n" - ] + "plt.plot(x1, x2_SGD, c=\"tomato\", label=\"SGD\")\n", + "plt.plot(x1, x2_GD, c=\"lime\", label=\"GD\")\n", + "plt.plot(x1, x2_learn, c=\"steelblue\", label=\"Sklearn\")\n", + "plt.legend()\n", + "plt.show()" + ], + "outputs": [ + { + "data": { + "text/plain": [ + "
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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "execution_count": 67 }, { "cell_type": "markdown", @@ -880,12 +40978,40 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "metadata": { + "ExecuteTime": { + "end_time": "2025-03-19T10:06:51.624736Z", + "start_time": "2025-03-19T10:06:51.611049Z" + } + }, "source": [ - "# answer for Exercise 12" - ] + "from sklearn.model_selection import train_test_split\n", + "from sklearn import datasets\n", + "\n", + "iris = datasets.load_iris(as_frame=True)\n", + "\n", + "X, y = iris.data, iris.target\n", + "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.33, random_state=5)\n", + "\n", + "log_reg = LogisticRegression(fit_intercept=True)\n", + "\n", + "log_reg.fit(X_train, y_train)\n", + "y_pred = log_reg.predict(X_test)\n", + "log_reg.score(X_test, y_test)" + ], + "outputs": [ + { + "data": { + "text/plain": [ + "0.98" + ] + }, + "execution_count": 75, + "metadata": {}, + "output_type": "execute_result" + } + ], + "execution_count": 75 }, { "cell_type": "markdown", @@ -917,39 +41043,90 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "metadata": { + "ExecuteTime": { + "end_time": "2025-03-19T10:58:43.985209Z", + "start_time": "2025-03-19T10:58:19.396703Z" + } + }, "source": [ "import tensorflow as tf\n", "\n", "(x_train, y_train), (x_test, y_test) = tf.keras.datasets.mnist.load_data()" - ] + ], + "outputs": [], + "execution_count": 1 }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "type(x_train)" - ] + "metadata": { + "ExecuteTime": { + "end_time": "2025-03-19T10:58:46.374251Z", + "start_time": "2025-03-19T10:58:46.365605Z" + } + }, + "source": "type(x_train)", + "outputs": [ + { + "data": { + "text/plain": [ + "numpy.ndarray" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "execution_count": 2 }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "metadata": { + "ExecuteTime": { + "end_time": "2025-03-19T10:58:47.207411Z", + "start_time": "2025-03-19T10:58:47.204291Z" + } + }, "source": [ "x_train.shape, y_train.shape" - ] + ], + "outputs": [ + { + "data": { + "text/plain": [ + "((60000, 28, 28), (60000,))" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "execution_count": 3 }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": "28 * 28" + "metadata": { + "ExecuteTime": { + "end_time": "2025-03-19T10:58:47.828676Z", + "start_time": "2025-03-19T10:58:47.823536Z" + } + }, + "source": "28 * 28", + "outputs": [ + { + "data": { + "text/plain": [ + "784" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "execution_count": 4 }, { "cell_type": "markdown", @@ -960,9 +41137,12 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "metadata": { + "ExecuteTime": { + "end_time": "2025-03-19T10:58:51.690085Z", + "start_time": "2025-03-19T10:58:51.651012Z" + } + }, "source": [ "# definition of the model \n", "tf.random.set_seed(4)\n", @@ -971,7 +41151,9 @@ "model.add(tf.keras.layers.Flatten()) # we flatten the data\n", "model.add(tf.keras.layers.Dense(10, activation=\"softmax\")) # 10 labels (figures from 0 to 9)\n", "#activation=\"softmax\" as it is a multiclass problem" - ] + ], + "outputs": [], + "execution_count": 5 }, { "cell_type": "markdown", @@ -1001,28 +41183,128 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "metadata": { + "ExecuteTime": { + "end_time": "2025-03-19T10:59:00.281294Z", + "start_time": "2025-03-19T10:59:00.274306Z" + } + }, "source": [ "model.compile(loss=\"sparse_categorical_crossentropy\",\n", " optimizer=\"sgd\",\n", " metrics=[\"accuracy\"])" - ] + ], + "outputs": [], + "execution_count": 6 }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": "history = model.fit(x_train, y_train, epochs=30)" + "metadata": { + "ExecuteTime": { + "end_time": "2025-03-19T10:59:27.035193Z", + "start_time": "2025-03-19T10:59:00.493936Z" + } + }, + "source": "history = model.fit(x_train, y_train, epochs=30)", + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 1/30\n", + "\u001B[1m1875/1875\u001B[0m \u001B[32m━━━━━━━━━━━━━━━━━━━━\u001B[0m\u001B[37m\u001B[0m \u001B[1m1s\u001B[0m 398us/step - accuracy: 0.8051 - loss: 468.3519\n", + "Epoch 2/30\n", + "\u001B[1m1875/1875\u001B[0m \u001B[32m━━━━━━━━━━━━━━━━━━━━\u001B[0m\u001B[37m\u001B[0m \u001B[1m1s\u001B[0m 426us/step - accuracy: 0.8693 - loss: 261.4901\n", + "Epoch 3/30\n", + "\u001B[1m1875/1875\u001B[0m \u001B[32m━━━━━━━━━━━━━━━━━━━━\u001B[0m\u001B[37m\u001B[0m \u001B[1m1s\u001B[0m 492us/step - accuracy: 0.8733 - loss: 246.0638\n", + "Epoch 4/30\n", + "\u001B[1m1875/1875\u001B[0m \u001B[32m━━━━━━━━━━━━━━━━━━━━\u001B[0m\u001B[37m\u001B[0m \u001B[1m1s\u001B[0m 505us/step - accuracy: 0.8760 - loss: 243.4188\n", + "Epoch 5/30\n", + "\u001B[1m1875/1875\u001B[0m \u001B[32m━━━━━━━━━━━━━━━━━━━━\u001B[0m\u001B[37m\u001B[0m \u001B[1m1s\u001B[0m 478us/step - accuracy: 0.8779 - loss: 233.7820\n", + "Epoch 6/30\n", + "\u001B[1m1875/1875\u001B[0m \u001B[32m━━━━━━━━━━━━━━━━━━━━\u001B[0m\u001B[37m\u001B[0m \u001B[1m1s\u001B[0m 580us/step - accuracy: 0.8788 - loss: 233.2691\n", + "Epoch 7/30\n", + "\u001B[1m1875/1875\u001B[0m \u001B[32m━━━━━━━━━━━━━━━━━━━━\u001B[0m\u001B[37m\u001B[0m \u001B[1m2s\u001B[0m 858us/step - accuracy: 0.8817 - loss: 233.2722\n", + "Epoch 8/30\n", + "\u001B[1m1875/1875\u001B[0m \u001B[32m━━━━━━━━━━━━━━━━━━━━\u001B[0m\u001B[37m\u001B[0m \u001B[1m1s\u001B[0m 530us/step - accuracy: 0.8806 - loss: 231.9280\n", + "Epoch 9/30\n", + "\u001B[1m1875/1875\u001B[0m \u001B[32m━━━━━━━━━━━━━━━━━━━━\u001B[0m\u001B[37m\u001B[0m 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"\u001B[1m1875/1875\u001B[0m \u001B[32m━━━━━━━━━━━━━━━━━━━━\u001B[0m\u001B[37m\u001B[0m \u001B[1m1s\u001B[0m 478us/step - accuracy: 0.8845 - loss: 225.1395\n", + "Epoch 16/30\n", + "\u001B[1m1875/1875\u001B[0m \u001B[32m━━━━━━━━━━━━━━━━━━━━\u001B[0m\u001B[37m\u001B[0m \u001B[1m1s\u001B[0m 405us/step - accuracy: 0.8861 - loss: 222.4019\n", + "Epoch 17/30\n", + "\u001B[1m1875/1875\u001B[0m \u001B[32m━━━━━━━━━━━━━━━━━━━━\u001B[0m\u001B[37m\u001B[0m \u001B[1m1s\u001B[0m 404us/step - accuracy: 0.8842 - loss: 224.2069\n", + "Epoch 18/30\n", + "\u001B[1m1875/1875\u001B[0m \u001B[32m━━━━━━━━━━━━━━━━━━━━\u001B[0m\u001B[37m\u001B[0m \u001B[1m1s\u001B[0m 429us/step - accuracy: 0.8847 - loss: 226.9697\n", + "Epoch 19/30\n", + "\u001B[1m1875/1875\u001B[0m \u001B[32m━━━━━━━━━━━━━━━━━━━━\u001B[0m\u001B[37m\u001B[0m \u001B[1m1s\u001B[0m 400us/step - accuracy: 0.8861 - loss: 224.0267\n", + "Epoch 20/30\n", + "\u001B[1m1875/1875\u001B[0m \u001B[32m━━━━━━━━━━━━━━━━━━━━\u001B[0m\u001B[37m\u001B[0m 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"\u001B[1m1875/1875\u001B[0m \u001B[32m━━━━━━━━━━━━━━━━━━━━\u001B[0m\u001B[37m\u001B[0m \u001B[1m1s\u001B[0m 391us/step - accuracy: 0.8869 - loss: 222.8797\n", + "Epoch 27/30\n", + "\u001B[1m1875/1875\u001B[0m \u001B[32m━━━━━━━━━━━━━━━━━━━━\u001B[0m\u001B[37m\u001B[0m \u001B[1m1s\u001B[0m 397us/step - accuracy: 0.8884 - loss: 220.8678\n", + "Epoch 28/30\n", + "\u001B[1m1875/1875\u001B[0m \u001B[32m━━━━━━━━━━━━━━━━━━━━\u001B[0m\u001B[37m\u001B[0m \u001B[1m1s\u001B[0m 394us/step - accuracy: 0.8875 - loss: 223.3590\n", + "Epoch 29/30\n", + "\u001B[1m1875/1875\u001B[0m \u001B[32m━━━━━━━━━━━━━━━━━━━━\u001B[0m\u001B[37m\u001B[0m \u001B[1m1s\u001B[0m 394us/step - accuracy: 0.8878 - loss: 221.2637\n", + "Epoch 30/30\n", + "\u001B[1m1875/1875\u001B[0m \u001B[32m━━━━━━━━━━━━━━━━━━━━\u001B[0m\u001B[37m\u001B[0m \u001B[1m1s\u001B[0m 392us/step - accuracy: 0.8867 - loss: 223.8463\n" + ] + } + ], + "execution_count": 7 }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": "model.evaluate(x_test, y_test)" + "metadata": { + "ExecuteTime": { + "end_time": "2025-03-19T10:59:30.147983Z", + "start_time": "2025-03-19T10:59:29.891625Z" + } + }, + "source": "model.evaluate(x_test, y_test)", + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\u001B[1m313/313\u001B[0m \u001B[32m━━━━━━━━━━━━━━━━━━━━\u001B[0m\u001B[37m\u001B[0m \u001B[1m0s\u001B[0m 470us/step - accuracy: 0.8769 - loss: 261.1911\n" + ] + }, + { + "data": { + "text/plain": [ + "[234.9829559326172, 0.8919000029563904]" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "execution_count": 8 }, { "cell_type": "markdown", @@ -1033,28 +41315,65 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "metadata": { + "ExecuteTime": { + "end_time": "2025-03-19T10:59:36.402820Z", + "start_time": "2025-03-19T10:59:35.043905Z" + } + }, "source": [ "(X_train, y_train), (X_test, y_test) = tf.keras.datasets.cifar10.load_data()" - ] + ], + "outputs": [], + "execution_count": 9 }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": "len(np.unique(y_test)) # 10 labels" + "metadata": { + "ExecuteTime": { + "end_time": "2025-03-19T10:59:46.827470Z", + "start_time": "2025-03-19T10:59:46.824193Z" + } + }, + "source": "len(np.unique(y_test)) # 10 labels", + "outputs": [ + { + "data": { + "text/plain": [ + "10" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "execution_count": 12 }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "metadata": { + "ExecuteTime": { + "end_time": "2025-03-19T10:59:47.663176Z", + "start_time": "2025-03-19T10:59:47.658204Z" + } + }, "source": [ "X_train.shape, y_train.shape" - ] + ], + "outputs": [ + { + "data": { + "text/plain": [ + "((50000, 32, 32, 3), (50000, 1))" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "execution_count": 13 }, { "cell_type": "code",