Master-Project/Notebooks/41_casadi_gp_test.ipynb
2021-04-06 18:49:29 +02:00

687 lines
258 KiB
Text

{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from pathlib import Path\n",
"import pickle"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"import gpflow\n",
"import tensorflow as tf"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"from gpflow.utilities import print_summary\n",
"gpflow.config.set_default_summary_fmt(\"notebook\")"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"import casadi as cs"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"plt.rcParams[\"figure.figsize\"] = (20, 6)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## GP model"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"size = 500"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"X = np.linspace(-25, 25, num = size)\n",
"# x^4 + 3*sin(x)\n",
"Y =3 * np.sin(X)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"df_func = pd.DataFrame({\n",
" 'X': X,\n",
" 'Y': Y\n",
"})"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"n_sampl = 50"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"df_sampled = df_func.sample(n_sampl)\n",
"X_sampled = df_sampled['X'].to_numpy().reshape(-1, 1)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"Y_sampled = df_sampled['Y'].to_numpy().reshape(-1, 1)\n",
"\n",
"# Add noise to the output\n",
"mean, var = 0, 0.25\n",
"noise = np.random.normal(mean, var, size = Y_sampled.shape)\n",
"\n",
"Y_sampled = Y_sampled + noise"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1440x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"plt.plot(X, Y)\n",
"plt.plot(X_sampled, Y_sampled, '.')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"k = gpflow.kernels.SquaredExponential() + gpflow.kernels.Linear()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table>\n",
"<thead>\n",
"<tr><th>name </th><th>class </th><th>transform </th><th>prior </th><th>trainable </th><th>shape </th><th>dtype </th><th style=\"text-align: right;\"> value</th></tr>\n",
"</thead>\n",
"<tbody>\n",
"<tr><td>Sum.kernels[0].variance </td><td>Parameter</td><td>Softplus </td><td> </td><td>True </td><td>() </td><td>float64</td><td style=\"text-align: right;\"> 1</td></tr>\n",
"<tr><td>Sum.kernels[0].lengthscales</td><td>Parameter</td><td>Softplus </td><td> </td><td>True </td><td>() </td><td>float64</td><td style=\"text-align: right;\"> 1</td></tr>\n",
"<tr><td>Sum.kernels[1].variance </td><td>Parameter</td><td>Softplus </td><td> </td><td>True </td><td>() </td><td>float64</td><td style=\"text-align: right;\"> 1</td></tr>\n",
"</tbody>\n",
"</table>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print_summary(k)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table>\n",
"<thead>\n",
"<tr><th>name </th><th>class </th><th>transform </th><th>prior </th><th>trainable </th><th>shape </th><th>dtype </th><th style=\"text-align: right;\"> value</th></tr>\n",
"</thead>\n",
"<tbody>\n",
"<tr><td>GPR.kernel.kernels[0].variance </td><td>Parameter</td><td>Softplus </td><td> </td><td>True </td><td>() </td><td>float64</td><td style=\"text-align: right;\"> 1</td></tr>\n",
"<tr><td>GPR.kernel.kernels[0].lengthscales</td><td>Parameter</td><td>Softplus </td><td> </td><td>True </td><td>() </td><td>float64</td><td style=\"text-align: right;\"> 1</td></tr>\n",
"<tr><td>GPR.kernel.kernels[1].variance </td><td>Parameter</td><td>Softplus </td><td> </td><td>True </td><td>() </td><td>float64</td><td style=\"text-align: right;\"> 1</td></tr>\n",
"<tr><td>GPR.likelihood.variance </td><td>Parameter</td><td>Softplus + Shift</td><td> </td><td>True </td><td>() </td><td>float64</td><td style=\"text-align: right;\"> 1</td></tr>\n",
"</tbody>\n",
"</table>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model = gpflow.models.GPR(\n",
" data = (X_sampled, Y_sampled), \n",
" kernel = k, \n",
" mean_function = None\n",
" )\n",
"print_summary(model)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table>\n",
"<thead>\n",
"<tr><th>name </th><th>class </th><th>transform </th><th>prior </th><th>trainable </th><th>shape </th><th>dtype </th><th style=\"text-align: right;\"> value</th></tr>\n",
"</thead>\n",
"<tbody>\n",
"<tr><td>GPR.kernel.kernels[0].variance </td><td>Parameter</td><td>Softplus </td><td> </td><td>True </td><td>() </td><td>float64</td><td style=\"text-align: right;\">6.18044 </td></tr>\n",
"<tr><td>GPR.kernel.kernels[0].lengthscales</td><td>Parameter</td><td>Softplus </td><td> </td><td>True </td><td>() </td><td>float64</td><td style=\"text-align: right;\">1.50932 </td></tr>\n",
"<tr><td>GPR.kernel.kernels[1].variance </td><td>Parameter</td><td>Softplus </td><td> </td><td>True </td><td>() </td><td>float64</td><td style=\"text-align: right;\">1.33892e-08</td></tr>\n",
"<tr><td>GPR.likelihood.variance </td><td>Parameter</td><td>Softplus + Shift</td><td> </td><td>True </td><td>() </td><td>float64</td><td style=\"text-align: right;\">0.0456394 </td></tr>\n",
"</tbody>\n",
"</table>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"opt = gpflow.optimizers.Scipy()\n",
"opt_logs = opt.minimize(model.training_loss, model.trainable_variables, options=dict(maxiter=1000))\n",
"print_summary(model)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1440x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"## generate test points for prediction\n",
"xx = np.linspace(-26, 26, 100).reshape(100, 1) # test points must be of shape (N, D)\n",
"\n",
"## predict mean and variance of latent GP at test points\n",
"mean, var = model.predict_f(xx)\n",
"\n",
"## generate 10 samples from posterior\n",
"tf.random.set_seed(1) # for reproducibility\n",
"samples = model.predict_f_samples(xx, 10) # shape (10, 100, 1)\n",
"\n",
"## plot\n",
"plt.figure()\n",
"plt.plot(X_sampled, Y_sampled, \"kx\", mew=2)\n",
"plt.plot(xx, mean, \"C0\", lw=2)\n",
"plt.fill_between(\n",
" xx[:, 0],\n",
" mean[:, 0] - 1.96 * np.sqrt(var[:, 0]),\n",
" mean[:, 0] + 1.96 * np.sqrt(var[:, 0]),\n",
" color=\"C0\",\n",
" alpha=0.2,\n",
")\n",
"plt.plot(xx, samples[:, :, 0].numpy().T, \"C0\", linewidth=0.5)\n",
"#plt.plot(X, Y, color = 'darkorange', lw = 2)\n",
"_ = plt.xlim(-26, 25.1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## CasADi part"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"# Package the resulting regression model in a CasADi callback\n",
"class GPR(cs.Callback):\n",
" def __init__(self, name, opts={}):\n",
" cs.Callback.__init__(self)\n",
" self.construct(name, opts)\n",
"\n",
" def eval(self, arg):\n",
" [mean, _] = model.predict_y(np.array(arg[0]))\n",
" return [mean.numpy()]"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"GPR:(i0)->(o0) CallbackInternal\n"
]
}
],
"source": [
"# Instantiate the Callback (make sure to keep a reference to it!)\n",
"gpr = GPR('GPR', {\"enable_fd\":True})\n",
"print(gpr)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [],
"source": [
"x = cs.MX.sym(\"x\")\n",
"y = cs.MX.sym(\"y\")"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [],
"source": [
"y = 2 * gpr(x) + 5"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"MX((5+(2.*GPR(x){0})))"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"This is Ipopt version 3.13.4, running with linear solver mumps.\n",
"NOTE: Other linear solvers might be more efficient (see Ipopt documentation).\n",
"\n",
"Number of nonzeros in equality constraint Jacobian...: 0\n",
"Number of nonzeros in inequality constraint Jacobian.: 0\n",
"Number of nonzeros in Lagrangian Hessian.............: 1\n",
"\n",
"Total number of variables............................: 1\n",
" variables with only lower bounds: 0\n",
" variables with lower and upper bounds: 0\n",
" variables with only upper bounds: 0\n",
"Total number of equality constraints.................: 0\n",
"Total number of inequality constraints...............: 0\n",
" inequality constraints with only lower bounds: 0\n",
" inequality constraints with lower and upper bounds: 0\n",
" inequality constraints with only upper bounds: 0\n",
"\n",
"iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls\n",
" 0 -3.0922590e+00 0.00e+00 6.66e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0\n",
" 1 -3.1593436e+00 0.00e+00 8.96e-03 -1.7 2.01e-01 - 1.00e+00 1.00e+00f 1\n",
" 2 -3.1593563e+00 0.00e+00 8.16e-06 -3.8 2.83e-03 - 1.00e+00 1.00e+00f 1\n",
" 3 -3.1593563e+00 0.00e+00 9.29e-08 -8.6 2.55e-06 - 1.00e+00 1.00e+00f 1\n",
" 4 -3.1593563e+00 0.00e+00 9.29e-08 -8.6 2.93e-08 - 1.00e+00 1.49e-08f 27\n",
" 5 -3.1593563e+00 0.00e+00 9.29e-08 -8.6 2.93e-08 - 1.00e+00 1.49e-08f 27\n",
" 6 -3.1593563e+00 0.00e+00 9.29e-08 -8.6 2.93e-08 - 1.00e+00 1.49e-08f 27\n",
" 7 -3.1593563e+00 0.00e+00 9.29e-08 -8.6 2.93e-08 - 1.00e+00 1.49e-08f 27\n",
" 8 -3.1593563e+00 0.00e+00 9.29e-08 -8.6 2.93e-08 - 1.00e+00 1.49e-08f 27\n",
" 9 -3.1593563e+00 0.00e+00 9.29e-08 -8.6 2.93e-08 - 1.00e+00 1.49e-08f 27\n",
"iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls\n",
" 10 -3.1593563e+00 0.00e+00 9.29e-08 -8.6 2.93e-08 - 1.00e+00 1.49e-08f 27\n",
" 11 -3.1593563e+00 0.00e+00 9.29e-08 -8.6 2.93e-08 - 1.00e+00 1.49e-08f 27\n",
" 12 -3.1593563e+00 0.00e+00 9.29e-08 -8.6 2.93e-08 - 1.00e+00 1.49e-08f 27\n",
" 13 -3.1593563e+00 0.00e+00 9.29e-08 -8.6 2.93e-08 - 1.00e+00 1.49e-08f 27\n",
" 14 -3.1593563e+00 0.00e+00 3.42e-07 -8.6 2.93e-08 - 1.00e+00 1.00e+00w 1\n",
" 15 -3.1593563e+00 0.00e+00 2.63e-07 -8.6 1.07e-07 - 1.00e+00 1.00e+00f 1\n",
" 16 -3.1593563e+00 0.00e+00 2.63e-07 -8.6 8.33e-08 - 1.00e+00 3.73e-09f 29\n",
" 17 -3.1593563e+00 0.00e+00 2.63e-07 -8.6 8.33e-08 - 1.00e+00 3.73e-09f 29\n",
"\n",
"Number of Iterations....: 17\n",
"\n",
" (scaled) (unscaled)\n",
"Objective...............: -3.1593562585952397e+00 -3.1593562585952397e+00\n",
"Dual infeasibility......: 2.6281251540962405e-07 2.6281251540962405e-07\n",
"Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00\n",
"Complementarity.........: 0.0000000000000000e+00 0.0000000000000000e+00\n",
"Overall NLP error.......: 2.6281251540962405e-07 2.6281251540962405e-07\n",
"\n",
"\n",
"Number of objective function evaluations = 382\n",
"Number of objective gradient evaluations = 18\n",
"Number of equality constraint evaluations = 0\n",
"Number of inequality constraint evaluations = 0\n",
"Number of equality constraint Jacobian evaluations = 0\n",
"Number of inequality constraint Jacobian evaluations = 0\n",
"Number of Lagrangian Hessian evaluations = 17\n",
"Total CPU secs in IPOPT (w/o function evaluations) = 0.154\n",
"Total CPU secs in NLP function evaluations = 12.702\n",
"\n",
"EXIT: Solved To Acceptable Level.\n",
" solver : t_proc (avg) t_wall (avg) n_eval\n",
" nlp_f | 5.63 s ( 14.75ms) 4.65 s ( 12.17ms) 382\n",
" nlp_grad_f | 1.70 s ( 89.52ms) 1.41 s ( 74.02ms) 19\n",
" nlp_hess_l | 6.28 s (369.37ms) 5.17 s (304.13ms) 17\n",
" total | 13.67 s ( 13.67 s) 11.25 s ( 11.25 s) 1\n"
]
}
],
"source": [
"# Find the minimum of the regression model\n",
"x = cs.MX.sym(\"x\")\n",
"y = cs.MX.sym(\"y\")\n",
"\n",
"\n",
"solver = cs.nlpsol(\"solver\",\"ipopt\",{\"x\":x,\"f\":gpr(x)})\n",
"res = solver(x0=5)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"DM(4.79658)"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"res['x']"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"This is Ipopt version 3.13.4, running with linear solver mumps.\n",
"NOTE: Other linear solvers might be more efficient (see Ipopt documentation).\n",
"\n",
"Number of nonzeros in equality constraint Jacobian...: 0\n",
"Number of nonzeros in inequality constraint Jacobian.: 0\n",
"Number of nonzeros in Lagrangian Hessian.............: 1\n",
"\n",
"Total number of variables............................: 1\n",
" variables with only lower bounds: 0\n",
" variables with lower and upper bounds: 0\n",
" variables with only upper bounds: 0\n",
"Total number of equality constraints.................: 0\n",
"Total number of inequality constraints...............: 0\n",
" inequality constraints with only lower bounds: 0\n",
" inequality constraints with lower and upper bounds: 0\n",
" inequality constraints with only upper bounds: 0\n",
"\n",
"iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls\n",
" 0 6.3760954e-01 0.00e+00 2.71e+00 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0\n",
" 1 -5.8354097e-02 0.00e+00 1.59e+00 -1.0 2.54e+01 0.0 1.00e+00 5.00e-01f 2\n",
" 2 -7.1463206e-01 0.00e+00 1.95e-01 -1.0 9.53e-01 - 1.00e+00 1.00e+00f 1\n",
" 3 -7.2594987e-01 0.00e+00 8.28e-03 -2.5 1.20e-01 - 1.00e+00 1.00e+00f 1\n",
" 4 -7.2596945e-01 0.00e+00 1.31e-04 -3.8 4.81e-03 - 1.00e+00 1.00e+00f 1\n",
" 5 -7.2596945e-01 0.00e+00 3.16e-06 -5.7 7.64e-05 - 1.00e+00 1.00e+00f 1\n",
" 6 -7.2596945e-01 0.00e+00 3.90e-07 -8.6 1.80e-06 - 1.00e+00 1.00e+00f 1\n",
" 7 -7.2596945e-01 0.00e+00 2.62e-07 -8.6 2.29e-07 - 1.00e+00 5.00e-01f 2\n",
" 8 -7.2596945e-01 0.00e+00 2.62e-07 -8.6 1.47e-07 - 1.00e+00 3.73e-09f 29\n",
" 9 -7.2596945e-01 0.00e+00 2.62e-07 -8.6 1.47e-07 - 1.00e+00 3.73e-09f 29\n",
"iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls\n",
" 10 -7.2596945e-01 0.00e+00 2.62e-07 -8.6 1.47e-07 - 1.00e+00 3.73e-09f 29\n",
" 11 -7.2596945e-01 0.00e+00 2.62e-07 -8.6 1.47e-07 - 1.00e+00 3.73e-09f 29\n",
" 12 -7.2596945e-01 0.00e+00 2.62e-07 -8.6 1.47e-07 - 1.00e+00 3.73e-09f 29\n",
" 13 -7.2596945e-01 0.00e+00 2.62e-07 -8.6 1.47e-07 - 1.00e+00 3.73e-09f 29\n",
" 14 -7.2596945e-01 0.00e+00 2.62e-07 -8.6 1.47e-07 - 1.00e+00 3.73e-09f 29\n",
" 15 -7.2596945e-01 0.00e+00 2.62e-07 -8.6 1.47e-07 - 1.00e+00 3.73e-09f 29\n",
" 16 -7.2596945e-01 0.00e+00 2.62e-07 -8.6 1.47e-07 - 1.00e+00 3.73e-09f 29\n",
" 17 -7.2596945e-01 0.00e+00 2.59e-07 -8.6 1.47e-07 - 1.00e+00 1.00e+00w 1\n",
" 18 -7.2596945e-01 0.00e+00 8.23e-08 -8.6 1.47e-07 - 1.00e+00 1.00e+00w 1\n",
" 19 -7.2596945e-01 0.00e+00 6.60e-08 -8.6 4.64e-08 - 1.00e+00 1.00e+00w 1\n",
"iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls\n",
" 20 -7.2596945e-01 0.00e+00 2.59e-07 -8.6 3.81e-08 - 1.00e+00 1.00e+00S 21\n",
"\n",
"Number of Iterations....: 20\n",
"\n",
" (scaled) (unscaled)\n",
"Objective...............: -7.2596945434578142e-01 -7.2596945434578142e-01\n",
"Dual infeasibility......: 2.5857828373980074e-07 2.5857828373980074e-07\n",
"Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00\n",
"Complementarity.........: 0.0000000000000000e+00 0.0000000000000000e+00\n",
"Overall NLP error.......: 2.5857828373980074e-07 2.5857828373980074e-07\n",
"\n",
"\n",
"Number of objective function evaluations = 340\n",
"Number of objective gradient evaluations = 21\n",
"Number of equality constraint evaluations = 0\n",
"Number of inequality constraint evaluations = 0\n",
"Number of equality constraint Jacobian evaluations = 0\n",
"Number of inequality constraint Jacobian evaluations = 0\n",
"Number of Lagrangian Hessian evaluations = 20\n",
"Total CPU secs in IPOPT (w/o function evaluations) = 0.152\n",
"Total CPU secs in NLP function evaluations = 13.521\n",
"\n",
"EXIT: Solved To Acceptable Level.\n",
" solver : t_proc (avg) t_wall (avg) n_eval\n",
" nlp_f | 5.01 s ( 14.73ms) 4.16 s ( 12.23ms) 340\n",
" nlp_grad_f | 2.01 s ( 91.28ms) 1.67 s ( 76.05ms) 22\n",
" nlp_hess_l | 7.51 s (375.54ms) 6.22 s (310.88ms) 20\n",
" total | 14.58 s ( 14.58 s) 12.08 s ( 12.08 s) 1\n",
"-13.561827666614862\n"
]
}
],
"source": [
"opti = cs.Opti()\n",
"\n",
"x = opti.variable()\n",
"\n",
"f = gpr(x)\n",
"#f = (2.6-x)**2+(y-x**2)**2\n",
"\n",
"opti.minimize(f)\n",
"\n",
"opti.solver('ipopt')\n",
"\n",
"sol = opti.solve()\n",
"\n",
"print(sol.value(x))"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-0.7259694543457814"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sol.value(f)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-13.561827666614862"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sol.value(x)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.2"
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"nbformat": 4,
"nbformat_minor": 4
}