prj.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "assigned-conjunction",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "id": "false-comparative",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "# This file may be used to create an environment using:\r\n",
      "# $ conda create --name <env> --file <this file>\r\n",
      "# platform: osx-64\r\n",
      "appnope=0.1.2=py38h50d1736_1\r\n",
      "argon2-cffi=20.1.0=py38h5406a74_2\r\n",
      "async_generator=1.10=py_0\r\n",
      "attrs=20.3.0=pyhd3deb0d_0\r\n",
      "backcall=0.2.0=pyh9f0ad1d_0\r\n",
      "backports=1.0=py_2\r\n",
      "backports.functools_lru_cache=1.6.1=py_0\r\n",
      "bleach=3.3.0=pyh44b312d_0\r\n",
      "boost-cpp=1.74.0=h43a636a_2\r\n",
      "bzip2=1.0.8=hc929b4f_4\r\n",
      "c-ares=1.17.1=h0d85af4_1\r\n",
      "ca-certificates=2020.12.5=h033912b_0\r\n",
      "certifi=2020.12.5=py38h50d1736_1\r\n",
      "cffi=1.14.5=py38ha97d567_0\r\n",
      "cmake=3.19.6=h641592c_0\r\n",
      "cycler=0.10.0=py_2\r\n",
      "dbus=1.13.6=h0c50699_1\r\n",
      "decorator=4.4.2=py_0\r\n",
      "defusedxml=0.7.1=pyhd8ed1ab_0\r\n",
      "eigen=3.3.9=h926bf3e_1\r\n",
      "entrypoints=0.3=pyhd8ed1ab_1003\r\n",
      "expat=2.2.10=h1c7c35f_0\r\n",
      "fenics=2019.1.0=py38h50d1736_19\r\n",
      "fenics-dijitso=2019.1.0=py38h50d1736_19\r\n",
      "fenics-dolfin=2019.1.0=py38h58f3e4a_19\r\n",
      "fenics-ffc=2019.1.0=py38h50d1736_19\r\n",
      "fenics-fiat=2019.1.0=py38h50d1736_19\r\n",
      "fenics-libdolfin=2019.1.0=ha6bb12c_19\r\n",
      "fenics-ufl=2019.1.0=py38h50d1736_19\r\n",
      "freetype=2.10.4=h4cff582_1\r\n",
      "gettext=0.19.8.1=h7937167_1005\r\n",
      "glib=2.68.0=he49afe7_2\r\n",
      "glib-tools=2.68.0=he49afe7_2\r\n",
      "gmp=6.2.1=h2e338ed_0\r\n",
      "gmpy2=2.1.0b1=py38haf64e2c_1\r\n",
      "hdf5=1.10.6=mpi_mpich_h8c5dddf_1013\r\n",
      "hypre=2.18.2=hc9ba2bc_1\r\n",
      "icu=68.1=h74dc148_0\r\n",
      "importlib-metadata=3.7.3=py38h50d1736_0\r\n",
      "ipykernel=5.5.0=py38h9bb44b7_1\r\n",
      "ipython=7.21.0=py38h9bb44b7_0\r\n",
      "ipython_genutils=0.2.0=py_1\r\n",
      "ipywidgets=7.6.3=pyhd3deb0d_0\r\n",
      "jedi=0.18.0=py38h50d1736_2\r\n",
      "jinja2=2.11.3=pyh44b312d_0\r\n",
      "joblib=1.0.1=pyhd8ed1ab_0\r\n",
      "jpeg=9d=hbcb3906_0\r\n",
      "jsonschema=3.2.0=pyhd8ed1ab_3\r\n",
      "jupyter=1.0.0=py38h50d1736_6\r\n",
      "jupyter_client=6.1.12=pyhd8ed1ab_0\r\n",
      "jupyter_console=6.4.0=pyhd8ed1ab_0\r\n",
      "jupyter_core=4.7.1=py38h50d1736_0\r\n",
      "jupyterlab_pygments=0.1.2=pyh9f0ad1d_0\r\n",
      "jupyterlab_widgets=1.0.0=pyhd8ed1ab_1\r\n",
      "kiwisolver=1.3.1=py38hd9c93a9_1\r\n",
      "krb5=1.17.2=h60d9502_0\r\n",
      "lcms2=2.12=h577c468_0\r\n",
      "libblas=3.9.0=8_openblas\r\n",
      "libcblas=3.9.0=8_openblas\r\n",
      "libclang=11.1.0=default_he082bbe_0\r\n",
      "libcurl=7.75.0=h8ef9fac_0\r\n",
      "libcxx=11.1.0=habf9029_0\r\n",
      "libedit=3.1.20191231=h0678c8f_2\r\n",
      "libev=4.33=haf1e3a3_1\r\n",
      "libffi=3.3=hb1e8313_2\r\n",
      "libgfortran=5.0.0=9_3_0_h6c81a4c_20\r\n",
      "libgfortran5=9.3.0=h6c81a4c_20\r\n",
      "libglib=2.68.0=hd556434_2\r\n",
      "libiconv=1.16=haf1e3a3_0\r\n",
      "liblapack=3.9.0=8_openblas\r\n",
      "libllvm11=11.1.0=hd011deb_0\r\n",
      "libnghttp2=1.43.0=h07e645a_0\r\n",
      "libopenblas=0.3.12=openmp_h54245bb_1\r\n",
      "libpng=1.6.37=h7cec526_2\r\n",
      "libpq=13.1=h052a64a_2\r\n",
      "libsodium=1.0.18=hbcb3906_1\r\n",
      "libssh2=1.9.0=h52ee1ee_6\r\n",
      "libtiff=4.2.0=h355d032_0\r\n",
      "libuv=1.40.0=haf1e3a3_0\r\n",
      "libwebp-base=1.2.0=h0d85af4_2\r\n",
      "llvm-openmp=11.1.0=hda6cdc1_0\r\n",
      "lz4-c=1.9.3=h046ec9c_0\r\n",
      "markupsafe=1.1.1=py38h5406a74_3\r\n",
      "matplotlib=3.3.4=py38h50d1736_0\r\n",
      "matplotlib-base=3.3.4=py38hb24f337_0\r\n",
      "metis=5.1.0=h2e338ed_1006\r\n",
      "mistune=0.8.4=py38h5406a74_1003\r\n",
      "mpc=1.1.0=ha57cd0f_1009\r\n",
      "mpfr=4.0.2=h72d8aaf_1\r\n",
      "mpi=1.0=mpich\r\n",
      "mpi4py=3.0.3=py38h12313e3_5\r\n",
      "mpich=3.4.1=hd33e60e_104\r\n",
      "mpmath=1.2.1=pyhd8ed1ab_0\r\n",
      "mumps-include=5.2.1=h694c41f_10\r\n",
      "mumps-mpi=5.2.1=hdbd7e29_10\r\n",
      "mysql-common=8.0.23=h694c41f_1\r\n",
      "mysql-libs=8.0.23=hbeb7981_1\r\n",
      "nbclient=0.5.3=pyhd8ed1ab_0\r\n",
      "nbconvert=6.0.7=py38h50d1736_3\r\n",
      "nbformat=5.1.2=pyhd8ed1ab_1\r\n",
      "ncurses=6.2=h0a44026_1\r\n",
      "nest-asyncio=1.4.3=pyhd8ed1ab_0\r\n",
      "nodejs=14.8.0=hec0b97e_0\r\n",
      "notebook=6.3.0=py38h50d1736_0\r\n",
      "nspr=4.30=hcd9eead_0\r\n",
      "nss=3.47=hc0980d9_0\r\n",
      "numpy=1.20.1=py38h64deac9_0\r\n",
      "olefile=0.46=pyh9f0ad1d_1\r\n",
      "openssl=1.1.1k=h0d85af4_0\r\n",
      "packaging=20.9=pyh44b312d_0\r\n",
      "pandoc=2.13=h0d85af4_0\r\n",
      "pandocfilters=1.4.2=py_1\r\n",
      "parmetis=4.0.3=hbc1d92b_1005\r\n",
      "parso=0.8.1=pyhd8ed1ab_0\r\n",
      "pcre=8.44=hb1e8313_0\r\n",
      "petsc=3.14.5=hbc334a2_0\r\n",
      "petsc4py=3.14.1=py38h47cb3d4_1\r\n",
      "pexpect=4.8.0=pyh9f0ad1d_2\r\n",
      "pickleshare=0.7.5=py_1003\r\n",
      "pillow=8.1.2=py38h83525de_0\r\n",
      "pip=21.0.1=py38hecd8cb5_0\r\n",
      "pkg-config=0.29.2=h31203cd_1008\r\n",
      "pkgconfig=1.5.2=py38h50d1736_0\r\n",
      "prometheus_client=0.9.0=pyhd3deb0d_0\r\n",
      "prompt-toolkit=3.0.18=pyha770c72_0\r\n",
      "prompt_toolkit=3.0.18=hd8ed1ab_0\r\n",
      "ptscotch=6.0.9=h682e2fc_1\r\n",
      "ptyprocess=0.7.0=pyhd3deb0d_0\r\n",
      "pybind11=2.6.2=py38hd9c93a9_0\r\n",
      "pybind11-global=2.6.2=py38hd9c93a9_0\r\n",
      "pycparser=2.20=pyh9f0ad1d_2\r\n",
      "pygments=2.8.1=pyhd8ed1ab_0\r\n",
      "pyparsing=2.4.7=pyh9f0ad1d_0\r\n",
      "pyqt=5.12.3=py38h50d1736_7\r\n",
      "pyqt-impl=5.12.3=py38h721a93c_7\r\n",
      "pyqt5-sip=4.19.18=py38h5745d40_7\r\n",
      "pyqtchart=5.12=py38h721a93c_7\r\n",
      "pyqtwebengine=5.12.1=py38h721a93c_7\r\n",
      "pyrsistent=0.17.3=py38h5406a74_2\r\n",
      "python=3.8.8=h88f2d9e_4\r\n",
      "python-dateutil=2.8.1=py_0\r\n",
      "python_abi=3.8=1_cp38\r\n",
      "pyzmq=22.0.3=py38hd3b92b6_1\r\n",
      "qt=5.12.9=h126340a_4\r\n",
      "qtconsole=5.0.3=pyhd8ed1ab_0\r\n",
      "qtpy=1.9.0=py_0\r\n",
      "readline=8.1=h9ed2024_0\r\n",
      "rhash=1.4.1=h35c211d_0\r\n",
      "scalapack=2.0.2=h3774d7d_1009\r\n",
      "scikit-learn=0.24.1=py38hfd19401_0\r\n",
      "scipy=1.6.1=py38h41e0fa8_0\r\n",
      "scotch=6.0.9=h57311db_1\r\n",
      "send2trash=1.5.0=py_0\r\n",
      "setuptools=52.0.0=py38hecd8cb5_0\r\n",
      "six=1.15.0=pyh9f0ad1d_0\r\n",
      "slepc=3.14.2=h939d6db_0\r\n",
      "slepc4py=3.14.0=py38hdf2acfc_1\r\n",
      "sqlite=3.35.2=hce871da_0\r\n",
      "suitesparse=5.6.0=h0e59142_0\r\n",
      "superlu=5.2.2=h109a0c7_0\r\n",
      "superlu_dist=6.2.0=h84ef8fc_4\r\n",
      "sympy=1.7.1=py38h50d1736_1\r\n",
      "tbb=2020.2=h940c156_4\r\n",
      "terminado=0.9.3=py38h50d1736_0\r\n",
      "testpath=0.4.4=py_0\r\n",
      "threadpoolctl=2.1.0=pyh5ca1d4c_0\r\n",
      "tk=8.6.10=hb0a8c7a_0\r\n",
      "tornado=6.1=py38h5406a74_1\r\n",
      "traitlets=5.0.5=py_0\r\n",
      "wcwidth=0.2.5=pyh9f0ad1d_2\r\n",
      "webencodings=0.5.1=py_1\r\n",
      "wheel=0.36.2=pyhd3eb1b0_0\r\n",
      "widgetsnbextension=3.5.1=py38h50d1736_4\r\n",
      "xz=5.2.5=h1de35cc_0\r\n",
      "zeromq=4.3.4=h1c7c35f_0\r\n",
      "zipp=3.4.1=pyhd8ed1ab_0\r\n",
      "zlib=1.2.11=h1de35cc_3\r\n",
      "zstd=1.4.9=h582d3a0_0\r\n"
     ]
    }
   ],
   "source": [
    "!cat requirements.txt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "apart-feeling",
   "metadata": {},
   "outputs": [],
   "source": [
    "from fenics import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "trained-diagram",
   "metadata": {},
   "outputs": [],
   "source": [
    "from ufl import nabla_div\n",
    "from vedo.dolfin import plot as vplot\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "id": "wooden-mexican",
   "metadata": {},
   "outputs": [],
   "source": [
    "tol=1e-14\n",
    "def clamped_boundary(x, on_boundary):\n",
    "    return on_boundary and x[0] < tol\n",
    "\n",
    "# Define strain and stress\n",
    "\n",
    "def epsilon(u):\n",
    "    return 0.5*(nabla_grad(u) + nabla_grad(u).T)\n",
    "    #return sym(nabla_grad(u))\n",
    "\n",
    "def get_max_displacement(L, W, mu, rho, gamma_coef, beta, N=10):\n",
    "    delta = W/L\n",
    "    gamma = gamma_coef*delta**2\n",
    "    lambda_ = beta\n",
    "    g = gamma\n",
    "\n",
    "    # Create mesh and define function space\n",
    "    mesh = BoxMesh(Point(0, 0, 0), Point(L, W, W), N, 3, 3)\n",
    "    V = VectorFunctionSpace(mesh, 'P', 1)\n",
    "\n",
    "    bc = DirichletBC(V, Constant((0, 0, 0)), clamped_boundary)\n",
    "    def sigma(u):\n",
    "        return lambda_*nabla_div(u)*Identity(d) + 2*mu*epsilon(u)\n",
    "\n",
    "    # Define variational problem\n",
    "    u = TrialFunction(V)\n",
    "    d = u.geometric_dimension()  # space dimension\n",
    "    v = TestFunction(V)\n",
    "    f = Constant((0, 0, -rho*g))\n",
    "    T = Constant((0, 0, 0))\n",
    "    a = inner(sigma(u), epsilon(v))*dx\n",
    "    L = dot(f, v)*dx + dot(T, v)*ds\n",
    "\n",
    "    # Compute solution\n",
    "    u = Function(V)\n",
    "    solve(a == L, u, bc)\n",
    "\n",
    "    # Plot solution\n",
    "    #vplot(u, title='Displacement', mode='displacement')\n",
    "\n",
    "    # Plot stress\n",
    "    s = sigma(u) - (1./3)*tr(sigma(u))*Identity(d)  # deviatoric stress\n",
    "    von_Mises = sqrt(3./2*inner(s, s))\n",
    "    V = FunctionSpace(mesh, 'P', 1)\n",
    "    von_Mises = project(von_Mises, V)\n",
    "    #vplot(von_Mises, title='Stress intensity')\n",
    "\n",
    "    # Compute magnitude of displacement\n",
    "    u_magnitude = sqrt(dot(u, u))\n",
    "    u_magnitude = project(u_magnitude, V)\n",
    "    #vplot(u_magnitude, 'Displacement magnitude')\n",
    "    return u_magnitude.vector().get_local().max()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "wired-colony",
   "metadata": {},
   "outputs": [],
   "source": [
    "var_range = [\n",
    "    (1, 1),\n",
    "    (.2, .2),\n",
    "    (.1, 5.),\n",
    "    (.1, 5.),\n",
    "    (.1, .9),\n",
    "    (.1, 5.),\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "trying-trunk",
   "metadata": {},
   "outputs": [],
   "source": [
    "def sample_vars(var_range):\n",
    "    return tuple(np.random.random() * (r-l) + l for l, r in var_range)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "interim-concert",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1.0,\n",
       " 0.2,\n",
       " 3.4495741352365474,\n",
       " 1.6333708210532774,\n",
       " 0.6556547367851013,\n",
       " 1.457233396579682)"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_vars(var_range)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "nervous-buyer",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Collecting tqdm\n",
      "  Downloading tqdm-4.59.0-py2.py3-none-any.whl (74 kB)\n",
      "\u001b[K     |████████████████████████████████| 74 kB 2.1 MB/s eta 0:00:011\n",
      "\u001b[?25hInstalling collected packages: tqdm\n",
      "Successfully installed tqdm-4.59.0\n"
     ]
    }
   ],
   "source": [
    "!pip install tqdm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "advance-berkeley",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.gaussian_process import GaussianProcessRegressor\n",
    "from tqdm import notebook as tqdm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "vertical-literacy",
   "metadata": {},
   "outputs": [],
   "source": [
    "reg = GaussianProcessRegressor()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "broke-percentage",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "1ffedbaae5c34ada95d37d8674682233",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/100 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
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      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
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      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
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      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
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      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
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      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
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      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
     ]
    }
   ],
   "source": [
    "X_test = []\n",
    "y_test = []\n",
    "for i in tqdm.trange(100):\n",
    "    variables = sample_vars(var_range)\n",
    "    X_test.append(variables)\n",
    "    y_test.append(get_max_displacement(*variables))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "american-guest",
   "metadata": {},
   "outputs": [],
   "source": [
    "reg."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "differential-machinery",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
       "        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
       "        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
       "        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
       "        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
       "        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.]),\n",
       " array([1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.,\n",
       "        1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.,\n",
       "        1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.,\n",
       "        1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.,\n",
       "        1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.,\n",
       "        1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.]))"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "reg.predict(X_test, return_std=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "structural-activity",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-3.675754132818691"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.log(1/(2*np.pi)**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "mobile-breakfast",
   "metadata": {},
   "outputs": [],
   "source": [
    "def evaluate(reg):\n",
    "    y_pred, std_pred = reg.predict(X_test, return_std=True)\n",
    "    abs_error = np.mean(np.abs(y_pred - y_test))\n",
    "    mean_std = np.mean(std_pred)\n",
    "    log_likelihood = np.sum(np.log(1/((2*np.pi)**.5*std_pred))-((y_test - y_pred) / std_pred)**2)\n",
    "    return abs_error, mean_std, log_likelihood"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "comprehensive-flashing",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.2800180135032519, 1.0, -109.47997082799608)"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "evaluate(reg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "integrated-penetration",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4b91c44017e24a47b04651e6a37153e4",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/100 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
     ]
    }
   ],
   "source": [
    "X_train = []\n",
    "y_train = []\n",
    "for i in tqdm.trange(100):\n",
    "    variables = sample_vars(var_range)\n",
    "    X_train.append(variables)\n",
    "    y_train.append(get_max_displacement(*variables))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "thermal-citation",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "172cc296cb514fb186fcc7b554cc003d",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/400 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
     ]
    }
   ],
   "source": [
    "for i in tqdm.trange(400):\n",
    "    variables = sample_vars(var_range)\n",
    "    X_train.append(variables)\n",
    "    y_train.append(get_max_displacement(*variables))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "younger-conservation",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "GaussianProcessRegressor()"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "reg.fit(X_train[:1], y_train[:1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "herbal-forth",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.2725417007760234, 0.9844267762366659, -108.00170211911613)"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "evaluate(reg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "indonesian-battery",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "GaussianProcessRegressor()"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "reg.fit(X_train[:10], y_train[:10])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "accessory-determination",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "0c7a2af9836f494ea3c3fcb7f3450c91",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/500 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "results = [evaluate(GaussianProcessRegressor())]\n",
    "for i in tqdm.trange(1, len(X_train)+1):\n",
    "    results.append(evaluate(GaussianProcessRegressor().fit(X_train[:i], y_train[:i])))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "successful-postage",
   "metadata": {},
   "outputs": [],
   "source": [
    "errors, stds, lls = zip(*results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "educational-legislation",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2, ax3) = plt.subplots(figsize=(16, 10))\n",
    "ax.plot(errors)\n",
    "ax.set_title('Absolute error of prediction')\n",
    "ax.set_xlabel('Training samples')\n",
    "fig.savefig('prj01.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "parallel-approach",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(16, 10))\n",
    "ax.plot(stds)\n",
    "ax.set_title('Predicted standard deviation of prediction')\n",
    "ax.set_xlabel('Training samples')\n",
    "fig.savefig('prj02.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "id": "wanted-package",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(16, 10))\n",
    "ax.plot(lls)\n",
    "ax.set_title('Logarithm of likelihood of the test sample')\n",
    "ax.set_xlabel('Training samples')\n",
    "fig.savefig('prj03.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "stunning-smell",
   "metadata": {},
   "outputs": [],
   "source": [
    "reg = GaussianProcessRegressor()\n",
    "results_smart = [evaluate(GaussianProcessRegressor())]\n",
    "X_train_smart = []\n",
    "y_train_smart = []"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "id": "lucky-fifth",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
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      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
     ]
    }
   ],
   "source": [
    "\n",
    "while len(y_train_smart) < 500:\n",
    "    N_sample = 10\n",
    "    X_new = [sample_vars(var_range) for _ in range(N_sample)]\n",
    "    _, std_pred = reg.predict(X_new, return_std=True)\n",
    "    idx = max(range(N_sample), key=lambda x: std_pred[x])\n",
    "    variables = X_new[idx]\n",
    "    X_train_smart.append(variables)\n",
    "    y_train_smart.append(get_max_displacement(*variables))\n",
    "    reg = GaussianProcessRegressor().fit(X_train_smart, y_train_smart)\n",
    "    results_smart.append(evaluate(reg))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "id": "prime-breathing",
   "metadata": {},
   "outputs": [],
   "source": [
    "errors_smart, stds_smart, lls_smart = zip(*results_smart)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "id": "pregnant-bible",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(16, 10))\n",
    "ax.plot(errors_smart, label='Picking points with high variance')\n",
    "ax.plot(errors, label='Picking points at random')\n",
    "ax.plot(errors2, label='Using less elements')\n",
    "ax.set_title('Absolute error of prediction')\n",
    "ax.set_xlabel('Training samples')\n",
    "ax.legend()\n",
    "fig.savefig('prj_ae.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "id": "green-architecture",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(16, 10))\n",
    "ax.plot(stds_smart, label='Picking points with high variance')\n",
    "ax.plot(stds, label='Picking points at random')\n",
    "ax.plot(stds2, label='Using less elements')\n",
    "ax.set_title('Standard deviation of the result')\n",
    "ax.set_xlabel('Training samples')\n",
    "ax.legend()\n",
    "fig.savefig('prj_std.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "id": "czech-virtue",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(16, 10))\n",
    "ax.plot(lls_smart, label='Picking points with high variance')\n",
    "ax.plot(lls, label='Picking points at random')\n",
    "ax.plot(lls2, label='Using less elements')\n",
    "ax.set_title('Log likelihood')\n",
    "ax.set_xlabel('Training samples')\n",
    "ax.legend()\n",
    "ax.set_ylim(-200)\n",
    "fig.savefig('prj_ll.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "id": "anticipated-sword",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "be69870a8aed4c60ba28c08f66cf9fdb",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/100 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
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      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
     ]
    }
   ],
   "source": [
    "X_train2 = []\n",
    "y_train2 = []\n",
    "for i in tqdm.trange(100):\n",
    "    variables = sample_vars(var_range)\n",
    "    X_train2.append(variables)\n",
    "    y_train2.append(get_max_displacement(*variables, N=5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "id": "behavioral-affiliation",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
     ]
    },
    {
     "ename": "KeyboardInterrupt",
     "evalue": "",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mKeyboardInterrupt\u001b[0m                         Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-123-58bd275fc178>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      2\u001b[0m     \u001b[0mvariables\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msample_vars\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mvar_range\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      3\u001b[0m     \u001b[0mX_train2\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mvariables\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m     \u001b[0my_train2\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mget_max_displacement\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mvariables\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mN\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m5\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;32m<ipython-input-108-f66e0eb8f6e3>\u001b[0m in \u001b[0;36mget_max_displacement\u001b[0;34m(L, W, mu, rho, gamma_coef, beta, N)\u001b[0m\n\u001b[1;32m     34\u001b[0m     \u001b[0;31m# Compute solution\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     35\u001b[0m     \u001b[0mu\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mFunction\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mV\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 36\u001b[0;31m     \u001b[0msolve\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ma\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0mL\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mu\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbc\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     37\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     38\u001b[0m     \u001b[0;31m# Plot solution\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/ff/lib/python3.8/site-packages/dolfin/fem/solving.py\u001b[0m in \u001b[0;36msolve\u001b[0;34m(*args, **kwargs)\u001b[0m\n\u001b[1;32m    218\u001b[0m     \u001b[0;31m# tolerance)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    219\u001b[0m     \u001b[0;32melif\u001b[0m \u001b[0misinstance\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mufl\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mclasses\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mEquation\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 220\u001b[0;31m         \u001b[0m_solve_varproblem\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    221\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    222\u001b[0m     \u001b[0;31m# Default case, just call the wrapped C++ solve function\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/ff/lib/python3.8/site-packages/dolfin/fem/solving.py\u001b[0m in \u001b[0;36m_solve_varproblem\u001b[0;34m(*args, **kwargs)\u001b[0m\n\u001b[1;32m    239\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    240\u001b[0m         \u001b[0;31m# Create problem\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 241\u001b[0;31m         problem = LinearVariationalProblem(eq.lhs, eq.rhs, u, bcs,\n\u001b[0m\u001b[1;32m    242\u001b[0m                                            form_compiler_parameters=form_compiler_parameters)\n\u001b[1;32m    243\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/ff/lib/python3.8/site-packages/dolfin/fem/problem.py\u001b[0m in \u001b[0;36m__init__\u001b[0;34m(self, a, L, u, bcs, form_compiler_parameters)\u001b[0m\n\u001b[1;32m     54\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     55\u001b[0m             \u001b[0mL\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mForm\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mL\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mform_compiler_parameters\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mform_compiler_parameters\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 56\u001b[0;31m         \u001b[0ma\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mForm\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ma\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mform_compiler_parameters\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mform_compiler_parameters\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     57\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     58\u001b[0m         \u001b[0;31m# Initialize C++ base class\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/ff/lib/python3.8/site-packages/dolfin/fem/form.py\u001b[0m in \u001b[0;36m__init__\u001b[0;34m(self, form, **kwargs)\u001b[0m\n\u001b[1;32m     41\u001b[0m             \u001b[0mform_compiler_parameters\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m{\u001b[0m\u001b[0;34m\"external_include_dirs\"\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mdolfin_pc\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m\"include_dirs\"\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m}\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     42\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 43\u001b[0;31m         ufc_form = ffc_jit(form, form_compiler_parameters=form_compiler_parameters,\n\u001b[0m\u001b[1;32m     44\u001b[0m                            mpi_comm=mesh.mpi_comm())\n\u001b[1;32m     45\u001b[0m         \u001b[0mufc_form\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mcpp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfem\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmake_ufc_form\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mufc_form\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/ff/lib/python3.8/site-packages/dolfin/jit/jit.py\u001b[0m in \u001b[0;36mmpi_jit\u001b[0;34m(*args, **kwargs)\u001b[0m\n\u001b[1;32m     45\u001b[0m         \u001b[0;31m# Just call JIT compiler when running in serial\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     46\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0mMPI\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msize\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmpi_comm\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 47\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mlocal_jit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     48\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     49\u001b[0m         \u001b[0;31m# Default status (0 == ok, 1 == fail)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/ff/lib/python3.8/site-packages/dolfin/jit/jit.py\u001b[0m in \u001b[0;36mffc_jit\u001b[0;34m(ufl_form, form_compiler_parameters)\u001b[0m\n\u001b[1;32m     95\u001b[0m     \u001b[0mp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mupdate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdict\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mparameters\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m\"form_compiler\"\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     96\u001b[0m     \u001b[0mp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mupdate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mform_compiler_parameters\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0;34m{\u001b[0m\u001b[0;34m}\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 97\u001b[0;31m     \u001b[0;32mreturn\u001b[0m \u001b[0mffc\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mjit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mufl_form\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mparameters\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     98\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     99\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/ff/lib/python3.8/site-packages/ffc/jitcompiler.py\u001b[0m in \u001b[0;36mjit\u001b[0;34m(ufl_object, parameters, indirect)\u001b[0m\n\u001b[1;32m    215\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    216\u001b[0m     \u001b[0;31m# Inspect cache and generate+build if necessary\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 217\u001b[0;31m     \u001b[0mmodule\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mjit_build\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mufl_object\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmodule_name\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mparameters\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    218\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    219\u001b[0m     \u001b[0;31m# Raise exception on failure to build or import module\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/ff/lib/python3.8/site-packages/ffc/jitcompiler.py\u001b[0m in \u001b[0;36mjit_build\u001b[0;34m(ufl_object, module_name, parameters)\u001b[0m\n\u001b[1;32m    128\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    129\u001b[0m     \u001b[0;31m# Carry out jit compilation, calling jit_generate only if needed\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 130\u001b[0;31m     module, signature = dijitso.jit(jitable=ufl_object,\n\u001b[0m\u001b[1;32m    131\u001b[0m                                     \u001b[0mname\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mmodule_name\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    132\u001b[0m                                     \u001b[0mparams\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mparams\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/ff/lib/python3.8/site-packages/dijitso/jit.py\u001b[0m in \u001b[0;36mjit\u001b[0;34m(jitable, name, params, generate, send, receive, wait)\u001b[0m\n\u001b[1;32m    163\u001b[0m         \u001b[0;32melif\u001b[0m \u001b[0mgenerate\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    164\u001b[0m             \u001b[0;31m# 1) Generate source code\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 165\u001b[0;31m             \u001b[0mheader\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msource\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdependencies\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mgenerate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mjitable\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msignature\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mparams\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m\"generator\"\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    166\u001b[0m             \u001b[0;31m# Ensure we got unicode from generate\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    167\u001b[0m             \u001b[0mheader\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mas_unicode\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mheader\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/ff/lib/python3.8/site-packages/ffc/jitcompiler.py\u001b[0m in \u001b[0;36mjit_generate\u001b[0;34m(ufl_object, module_name, signature, parameters)\u001b[0m\n\u001b[1;32m     63\u001b[0m         \u001b[0mcompile_object\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mcompile_coordinate_mapping\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     64\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 65\u001b[0;31m     code_h, code_c, dependent_ufl_objects = compile_object(ufl_object,\n\u001b[0m\u001b[1;32m     66\u001b[0m             prefix=module_name, parameters=parameters, jit=True)\n\u001b[1;32m     67\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/ff/lib/python3.8/site-packages/ffc/compiler.py\u001b[0m in \u001b[0;36mcompile_form\u001b[0;34m(forms, object_names, prefix, parameters, jit)\u001b[0m\n\u001b[1;32m    140\u001b[0m                  prefix=\"Form\", parameters=None, jit=False):\n\u001b[1;32m    141\u001b[0m     \u001b[0;34m\"\"\"This function generates UFC code for a given UFL form or list of UFL forms.\"\"\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 142\u001b[0;31m     return compile_ufl_objects(forms, \"form\", object_names,\n\u001b[0m\u001b[1;32m    143\u001b[0m                                prefix, parameters, jit)\n\u001b[1;32m    144\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/ff/lib/python3.8/site-packages/ffc/compiler.py\u001b[0m in \u001b[0;36mcompile_ufl_objects\u001b[0;34m(ufl_objects, kind, object_names, prefix, parameters, jit)\u001b[0m\n\u001b[1;32m    188\u001b[0m     \u001b[0;31m# Stage 2: intermediate representation\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    189\u001b[0m     \u001b[0mcpu_time\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtime\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 190\u001b[0;31m     \u001b[0mir\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mcompute_ir\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0manalysis\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mprefix\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mparameters\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mjit\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    191\u001b[0m     \u001b[0m_print_timing\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtime\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mcpu_time\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    192\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/ff/lib/python3.8/site-packages/ffc/representation.py\u001b[0m in \u001b[0;36mcompute_ir\u001b[0;34m(analysis, prefix, parameters, jit)\u001b[0m\n\u001b[1;32m    180\u001b[0m     \u001b[0;31m# Compute and flatten representation of integrals\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    181\u001b[0m     \u001b[0minfo\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Computing representation of integrals\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 182\u001b[0;31m     irs = [_compute_integral_ir(fd, form_id, prefix, element_numbers, classnames, parameters, jit)\n\u001b[0m\u001b[1;32m    183\u001b[0m            for (form_id, fd) in enumerate(form_datas)]\n\u001b[1;32m    184\u001b[0m     \u001b[0mir_integrals\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlist\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mchain\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mirs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/ff/lib/python3.8/site-packages/ffc/representation.py\u001b[0m in \u001b[0;36m<listcomp>\u001b[0;34m(.0)\u001b[0m\n\u001b[1;32m    180\u001b[0m     \u001b[0;31m# Compute and flatten representation of integrals\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    181\u001b[0m     \u001b[0minfo\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Computing representation of integrals\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 182\u001b[0;31m     irs = [_compute_integral_ir(fd, form_id, prefix, element_numbers, classnames, parameters, jit)\n\u001b[0m\u001b[1;32m    183\u001b[0m            for (form_id, fd) in enumerate(form_datas)]\n\u001b[1;32m    184\u001b[0m     \u001b[0mir_integrals\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlist\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mchain\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mirs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/ff/lib/python3.8/site-packages/ffc/representation.py\u001b[0m in \u001b[0;36m_compute_integral_ir\u001b[0;34m(form_data, form_id, prefix, element_numbers, classnames, parameters, jit)\u001b[0m\n\u001b[1;32m    453\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    454\u001b[0m         \u001b[0;31m# Compute representation\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 455\u001b[0;31m         ir = r.compute_integral_ir(itg_data,\n\u001b[0m\u001b[1;32m    456\u001b[0m                                    \u001b[0mform_data\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    457\u001b[0m                                    \u001b[0mform_id\u001b[0m\u001b[0;34m,\u001b[0m     \u001b[0;31m# FIXME: Can we remove this?\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/ff/lib/python3.8/site-packages/ffc/uflacs/uflacsrepresentation.py\u001b[0m in \u001b[0;36mcompute_integral_ir\u001b[0;34m(itg_data, form_data, form_id, element_numbers, classnames, parameters)\u001b[0m\n\u001b[1;32m    130\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    131\u001b[0m     \u001b[0;31m# Build the more uflacs-specific intermediate representation\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 132\u001b[0;31m     uflacs_ir = build_uflacs_ir(itg_data.domain.ufl_cell(),\n\u001b[0m\u001b[1;32m    133\u001b[0m                                 \u001b[0mitg_data\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mintegral_type\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    134\u001b[0m                                 \u001b[0mir\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m\"entitytype\"\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/ff/lib/python3.8/site-packages/ffc/uflacs/build_uflacs_ir.py\u001b[0m in \u001b[0;36mbuild_uflacs_ir\u001b[0;34m(cell, integral_type, entitytype, integrands, tensor_shape, coefficient_numbering, quadrature_rules, parameters)\u001b[0m\n\u001b[1;32m    385\u001b[0m         (argument_factorizations, modified_arguments,\n\u001b[1;32m    386\u001b[0m              FV, FV_deps, FV_targets) = \\\n\u001b[0;32m--> 387\u001b[0;31m             \u001b[0mcompute_argument_factorization\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mSV\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mSV_deps\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mSV_targets\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtensor_shape\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    388\u001b[0m         \u001b[0;32massert\u001b[0m \u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mSV_targets\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0margument_factorizations\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    389\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/ff/lib/python3.8/site-packages/ffc/uflacs/analysis/factorization.py\u001b[0m in \u001b[0;36mcompute_argument_factorization\u001b[0;34m(SV, SV_deps, SV_targets, rank)\u001b[0m\n\u001b[1;32m    354\u001b[0m             \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m  \u001b[0;31m# All other operators\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    355\u001b[0m                 \u001b[0mhandler\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mhandle_operator\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 356\u001b[0;31m             \u001b[0mfactors\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mhandler\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mv\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msi\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdeps\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mSV_factors\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mFV\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msi2fi\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0me2fi\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    357\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    358\u001b[0m         \u001b[0mSV_factors\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0msi\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mfactors\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/ff/lib/python3.8/site-packages/ffc/uflacs/analysis/factorization.py\u001b[0m in \u001b[0;36mhandle_product\u001b[0;34m(v, si, deps, SV_factors, FV, sv2fv, e2fi)\u001b[0m\n\u001b[1;32m    190\u001b[0m                 \u001b[0mf1\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mFV\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mfac1\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mk1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    191\u001b[0m                 \u001b[0margkey\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtuple\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msorted\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mk0\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0mk1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m  \u001b[0;31m# sort key for canonical representation\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 192\u001b[0;31m                 \u001b[0mfactors\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0margkey\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0madd_to_fv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mf0\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mf1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mFV\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0me2fi\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    193\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    194\u001b[0m     \u001b[0;32mreturn\u001b[0m \u001b[0mfactors\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/ff/lib/python3.8/site-packages/ffc/uflacs/analysis/factorization.py\u001b[0m in \u001b[0;36madd_to_fv\u001b[0;34m(expr, FV, e2fi)\u001b[0m\n\u001b[1;32m    104\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0madd_to_fv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mexpr\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mFV\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0me2fi\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    105\u001b[0m     \u001b[0;34m\"Add expression expr to factor vector FV and expr->FVindex mapping e2fi.\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 106\u001b[0;31m     \u001b[0mfi\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0me2fi\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mexpr\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    107\u001b[0m     \u001b[0;32mif\u001b[0m \u001b[0mfi\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    108\u001b[0m         \u001b[0mfi\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0me2fi\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/ff/lib/python3.8/site-packages/ufl/exprequals.py\u001b[0m in \u001b[0;36mnonrecursive_expr_equals\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m    105\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    106\u001b[0m \u001b[0;31m# @measure_collisions\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 107\u001b[0;31m \u001b[0;32mdef\u001b[0m \u001b[0mnonrecursive_expr_equals\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    108\u001b[0m     \"\"\"Checks whether the two expressions are represented the\n\u001b[1;32m    109\u001b[0m     \u001b[0mexact\u001b[0m \u001b[0msame\u001b[0m \u001b[0mway\u001b[0m\u001b[0;34m.\u001b[0m \u001b[0mThis\u001b[0m \u001b[0mdoes\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mcheck\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mthe\u001b[0m \u001b[0mexpressions\u001b[0m \u001b[0mare\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mKeyboardInterrupt\u001b[0m: "
     ]
    }
   ],
   "source": [
    "while len(y_train2) < 400:\n",
    "    variables = sample_vars(var_range)\n",
    "    X_train2.append(variables)\n",
    "    y_train2.append(get_max_displacement(*variables, N=5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "id": "earned-substance",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "6d839357b5794e048527ce51205433b0",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/278 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "results2 = [evaluate(GaussianProcessRegressor())]\n",
    "for i in tqdm.trange(1, len(y_train2)+1):\n",
    "    results2.append(evaluate(GaussianProcessRegressor().fit(X_train2[:i], y_train2[:i])))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "id": "nuclear-former",
   "metadata": {},
   "outputs": [],
   "source": [
    "errors2, stds2, lls2 = zip(*results2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "id": "ranking-sharp",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(0.2800180135032519, 1.0, -109.47997082799608),\n",
       " (0.27684310050434535, 0.9863806895510134, -108.04039360854159),\n",
       " (0.2677625585821848, 0.9590125914695831, -104.71411349586583),\n",
       " (0.2599738636524118, 0.9483802089977162, -103.02915463838593),\n",
       " (0.2311663763830579, 0.9309480957413576, -98.48230608517657),\n",
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     "execution_count": 119,
     "metadata": {},
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  {
   "cell_type": "code",
   "execution_count": null,
   "id": "classified-lindsay",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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