Testing ML algos-Copy1.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DEBUG:matplotlib.pyplot:Loaded backend module://ipykernel.pylab.backend_inline version unknown.\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from mpl_toolkits.mplot3d import proj3d\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "sns.set(color_codes=True)\n",
    "from xgboost import XGBRegressor\n",
    "from sklearn.svm import SVR\n",
    "from sklearn.gaussian_process import GaussianProcessRegressor\n",
    "from sklearn.neural_network import MLPRegressor\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.model_selection import GridSearchCV\n",
    "from sklearn.model_selection import train_test_split\n",
    "from matplotlib import patches\n",
    "from sklearn import metrics\n",
    "import os\n",
    "import sys\n",
    "import glob\n",
    "import itertools\n",
    "from pathlib import Path\n",
    "import pickle\n",
    "import logging\n",
    "import itertools \n",
    "from Optimization_Methods.GlowWorm import GlowWorm\n",
    "from codebase.utils import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "logging.basicConfig(stream=sys.stdout, level=logging.DEBUG,)\n",
    "logger = logging.getLogger(\"__main__\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "directory = os.fsencode('input/queries')\n",
    "fig,axes = plt.subplots(nrows=5, ncols=4, figsize=(10,11))\n",
    "\n",
    "for file in os.listdir(directory):\n",
    "    filename = os.fsdecode(file)\n",
    "    if filename.startswith('queries'):\n",
    "        a = filename.split('-')\n",
    "        dims = int(int(a[2]))\n",
    "        multi = a[3].split('_')[1]==\"True\"\n",
    "        aggr = a[4]\n",
    "#         logger.debug(filename)\n",
    "        f = np.loadtxt('input/queries/%s'%filename, delimiter=',')\n",
    "        paths = glob.glob('models/queries-uniform-{0}-multi_{1}-{2}-*'.format(dims,str(multi),aggr))\n",
    "        multi_no = 0 if a[3].split('_')[1]==\"True\" else 1\n",
    "        aggr_no = 0 if a[4]=='aggr' else 2\n",
    "        \n",
    "        for p in paths:\n",
    "            print(p)\n",
    "            with open('%s' % p, 'rb') as file:  \n",
    "                m = pickle.load(file)   \n",
    "                if hasattr(m,'best_params_'):\n",
    "                    logger.debug(m.best_params_)\n",
    "                    logger.debug(m.scorer_)\n",
    "                    logger.debug(m.best_score_)\n",
    "#                 ax = sns.regplot(f[:,-1], m.predict(f[:,:f.shape[1]-1]), label=p, ax=axes[dims-1][aggr_no+multi_no])\n",
    "        plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "directory = os.fsencode('input/queries')\n",
    "fig,axes = plt.subplots(nrows=5, ncols=4, figsize=(10,11))\n",
    "dimensions = {}\n",
    "for file in os.listdir(directory):\n",
    "    filename = os.fsdecode(file)\n",
    "    if filename.startswith('queries'):\n",
    "        a = filename.split('-')\n",
    "        dims = int(int(a[2]))\n",
    "        multi = 0 if a[3].split('_')[1]==\"True\" else 1\n",
    "        aggr = 0 if a[4]=='aggr' else 2\n",
    "#         logger.debug(filename)\n",
    "        f = np.loadtxt('input/queries/%s'%filename, delimiter=',')\n",
    "        dimensions[dims] = f[:,-1]\n",
    "        ax = sns.boxplot(f[:,-1],ax=axes[dims-1][aggr+multi])\n",
    "        ax.set_title(a[4]+'-'+a[3].split('_')[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.linspace(0,1,6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.all([[True,False],[True,True]], axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "directory = os.fsencode('input/')\n",
    "for file in os.listdir(directory):\n",
    "    filename = os.fsdecode(file)\n",
    "    if filename.startswith('data'):\n",
    "        f = np.loadtxt('input/{}'.format(filename), delimiter=',')\n",
    "        print(filename)\n",
    "        arr = filename.split('_')\n",
    "        dim = int(arr[2].split('=')[1])\n",
    "        aggr = arr[1]\n",
    "        multi = arr[4]==\"True\"\n",
    "        if aggr=='aggr':\n",
    "            dim+=1\n",
    "            sns.distplot(f[:,-1],label=filename)\n",
    "        elif not multi:\n",
    "            print(\"Original shape {0}\".format(f.shape[0]))\n",
    "            f = f.reshape(-1,int(dim))\n",
    "    #         print((f>0.6) & (f<0.9))\n",
    "            res = f[np.all((f>0.6) & (f<0.9),axis=1)].shape[0]\n",
    "            print(\"Ratio in area {0}\".format(res/f.shape[0]))\n",
    "            print(\"Total {0}\".format(res))\n",
    "        else :\n",
    "            f = f.reshape(-1,int(dim))\n",
    "            obj1 = ((f>0) & (f<0.2)) \n",
    "            obj2 = ((f>0.3) & (f<0.5))\n",
    "            obj3 = ((f>0.6) & (f<0.8))\n",
    "            area1 = f[np.all(obj1,axis=1)].shape[0]\n",
    "            area2 = f[np.all(obj2,axis=1)].shape[0]\n",
    "            area3 = f[np.all(obj3,axis=1)].shape[0]\n",
    "            print(\"Ratio in area1 {0}\".format(area1/f.shape[0]))\n",
    "            print(\"Total {0}\".format(area1))\n",
    "            print(\"Ratio in area2 {0}\".format(area2/f.shape[0]))\n",
    "            print(\"Total {0}\".format(area2))\n",
    "            print(\"Ratio in area3 {0}\".format(area3/f.shape[0]))\n",
    "            print(\"Total {0}\".format(area3))            \n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "dd = np.loadtxt('input/data_density_dimensions=3_multi_True', delimiter=',')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import learning_curve\n",
    "from sklearn.model_selection import ShuffleSplit\n",
    "from codebase.Accuracy import AccuracyRunnerApprox\n",
    "from sklearn.model_selection import KFold, validation_curve\n",
    "from sklearn.metrics import make_scorer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "ac = AccuracyRunnerApprox(3, False, 'density',None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "f1 = np.loadtxt('input/queries/queries-uniform-1-multi_False-density', delimiter=',')\n",
    "f2 = np.loadtxt('input/queries/queries-uniform-2-multi_False-density', delimiter=',')\n",
    "f3 = np.loadtxt('input/queries/queries-uniform-3-multi_False-density', delimiter=',')\n",
    "f4 = np.loadtxt('input/queries/queries-uniform-4-multi_False-density', delimiter=',')\n",
    "f5 = np.loadtxt('input/queries/queries-uniform-5-multi_False-density', delimiter=',')\n",
    "dimensions_queries = [f1, f2, f3, f4, f5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "cv = ShuffleSplit(n_splits=10, test_size=0.2, random_state=0)\n",
    "markers=['-v', '-^','-*','-o', '-.']\n",
    "colors = ['g', 'r', 'k', 'b', 'orange']\n",
    "train_sizes_dims = []\n",
    "test_scores_dims = []\n",
    "test_scores_std_dims = []\n",
    "for i,ff in enumerate(dimensions_queries):\n",
    "\n",
    "    train_sizes, train_scores, test_scores = learning_curve(\n",
    "        XGBRegressor(),ff[:,:ff.shape[1]-1], ff[:,-1], cv=cv, n_jobs=4, train_sizes=np.linspace(.1/(5*(i+1)), 1.0, 5*(i+1)),\n",
    "         scoring=make_scorer(metrics.mean_squared_error,greater_is_better=True))\n",
    "    train_scores = np.sqrt(train_scores)\n",
    "    test_scores = np.sqrt(test_scores)\n",
    "    train_scores_mean = np.mean(train_scores, axis=1)\n",
    "    train_scores_std = np.std(train_scores, axis=1)\n",
    "    test_scores_mean = np.mean(test_scores, axis=1)\n",
    "    test_scores_std = np.std(test_scores, axis=1)\n",
    "    \n",
    "    train_sizes_dims.append(train_sizes)\n",
    "    test_scores_dims.append(test_scores_mean)\n",
    "    test_scores_std_dims.append(test_scores_std)\n",
    "    # plt.fill_between(train_sizes, train_scores_mean - train_scores_std,\n",
    "    #                  train_scores_mean + train_scores_std, alpha=0.1,\n",
    "    #                  color=\"r\")\n",
    "    plt.fill_between(train_sizes, test_scores_mean - test_scores_std,\n",
    "                     test_scores_mean + test_scores_std, alpha=0.1, color=\"g\")\n",
    "    # plt.plot(train_sizes, train_scores_mean, 'o-', color=\"r\",\n",
    "    #          label=\"Training score\")\n",
    "    plt.semilogx(train_sizes, test_scores_mean, markers[i], color=colors[i],\n",
    "             label=\"Dimensions {0}\".format(i+1))\n",
    "    plt.xlabel(\"Training examples\")\n",
    "    plt.ylabel(\"Score\")\n",
    "    plt.legend(loc=\"best\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_sizes_dims"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "for i,train,test,std in zip(range(1,6),train_sizes_dims, test_scores_dims ,test_scores_std_dims):\n",
    "    plt.fill_between(train, test - std,\n",
    "                 test + std, alpha=0.1, color=\"g\")\n",
    "    plt.semilogx(train, test, color=colors[i-1], lw=2, label=\"Dimensions = {0}\".format(i*2))\n",
    "    print(len(train))\n",
    "plt.xlabel(\"Training examples\", fontsize=font_size)\n",
    "plt.ylabel(\"RMSE\", fontsize=font_size)\n",
    "plt.xticks(fontsize=16)\n",
    "plt.yticks(fontsize=16)\n",
    "plt.legend(loc=\"best\", prop={'size': 16}, frameon=True)\n",
    "plt.tight_layout()\n",
    "plt.savefig('output/sensitivity/ml_models/rmse-vs-queries.pdf',format='pdf',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "test_scores_dims"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "ff = np.loadtxt('input/queries/queries-uniform-3-multi_False-density', delimiter=',')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "param_range = range(1, 17, 2)\n",
    "train_scores, test_scores = validation_curve(\n",
    "    XGBRegressor(),  ff[:,:ff.shape[1]-1], ff[:,-1], param_name=\"max_depth\", param_range=param_range,\n",
    "    cv=5, n_jobs=4,scoring=make_scorer(metrics.mean_squared_error,greater_is_better=True))\n",
    "train_scores_iou, test_scores_iou = validation_curve(\n",
    "    XGBRegressor(),  ff[:,:ff.shape[1]-1], ff[:,-1], param_name=\"max_depth\", param_range=param_range,\n",
    "    cv=5, n_jobs=4,scoring=ac.scorer)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_scores = np.sqrt(train_scores)\n",
    "test_scores = np.sqrt(test_scores)\n",
    "train_scores_mean = np.mean(train_scores, axis=1)\n",
    "train_scores_std = np.std(train_scores, axis=1)\n",
    "test_scores_mean = np.mean(test_scores, axis=1)\n",
    "test_scores_std = np.std(test_scores, axis=1)\n",
    "\n",
    "train_scores_mean_iou = np.mean(train_scores_iou, axis=1)\n",
    "train_scores_std_iou = np.std(train_scores_iou, axis=1)\n",
    "test_scores_mean_iou = np.mean(test_scores_iou, axis=1)\n",
    "test_scores_std_iou = np.std(test_scores_iou, axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from hurst import compute_Hc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "series = np.row_stack((train_scores_iou.flatten(),test_scores_iou.flatten())).flatten()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "series"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "H, c, data = compute_Hc(series, kind='change', simplified=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "f, ax = plt.subplots()\n",
    "ax.plot(data[0], c*data[0]**H, color=\"deepskyblue\")\n",
    "ax.scatter(data[0], data[1], color=\"purple\")\n",
    "ax.set_xscale('log')\n",
    "ax.set_yscale('log')\n",
    "ax.set_xlabel('Time interval')\n",
    "ax.set_ylabel('R/S ratio')\n",
    "ax.grid(True)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
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      "DEBUG:matplotlib.font_manager:findfont: Matching :family=serif:style=normal:variant=normal:weight=normal:stretch=normal:size=22.0 to DejaVu Serif ('/home/fotis/anaconda3/envs/data_vis/lib/python3.5/site-packages/matplotlib/mpl-data/fonts/ttf/DejaVuSerif.ttf') with score of 0.050000.\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/6079360a509564e5ec21f68ba96e07a8.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.dviread:find_tex_file(cmr17.tfm): ['kpsewhich', 'cmr17.tfm']\n",
      "DEBUG:matplotlib.dviread:find_tex_file result: b'/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr17.tfm'\n",
      "DEBUG:matplotlib.dviread:opening tfm file /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr17.tfm\n",
      "DEBUG:matplotlib.dviread:lh=18, bc=0, ec=127, nw=36, nh=16, nd=9\n",
      "DEBUG:matplotlib.dviread:find_tex_file(cmr17.vf): ['kpsewhich', 'cmr17.vf']\n",
      "DEBUG:matplotlib.dviread:find_tex_file result: b''\n",
      "DEBUG:matplotlib.axes._base:update_title_pos\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/2cbad7cfeaac47ac71d80e3257114a40.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/e5eb6705878ce1f01325c742c7df4ae2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/042257ce4a74e485541fc2e9ce3f9f44.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/46c7005b58e200ca74f0f3f0ef0e1188.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/26c77c632c7d6d2589580ab48fa58bec.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/bbb49bebde07602af90e6c653719cb11.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/0379e661b5581e88de3d8c0b2a3ea2e0.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/a1ba9e79d506e03fc15a39adc5058e43.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/441b1c3eff034bb63c4e653a30190420.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/ef58b44fa4c1635554252f68c48b5daf.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/1b9eb3e35ca86382c7734d962a858aa2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.font_manager:findfont: Matching :family=serif:style=normal:variant=normal:weight=normal:stretch=normal:size=11.0 to DejaVu Serif ('/home/fotis/anaconda3/envs/data_vis/lib/python3.5/site-packages/matplotlib/mpl-data/fonts/ttf/DejaVuSerif.ttf') with score of 0.050000.\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/0898dc91ffebd8f677c95018c9e66018.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.dviread:find_tex_file(cmr10.tfm): ['kpsewhich', 'cmr10.tfm']\n",
      "DEBUG:matplotlib.dviread:find_tex_file result: b'/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr10.tfm'\n",
      "DEBUG:matplotlib.dviread:opening tfm file /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmr10.tfm\n",
      "DEBUG:matplotlib.dviread:lh=18, bc=0, ec=127, nw=36, nh=16, nd=10\n",
      "DEBUG:matplotlib.dviread:find_tex_file(cmr10.vf): ['kpsewhich', 'cmr10.vf']\n",
      "DEBUG:matplotlib.dviread:find_tex_file result: b''\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/6f04be40e71d28b0ece9e7a1e9379622.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/3e511e42228e634a89c21cebe5942239.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/6079360a509564e5ec21f68ba96e07a8.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.axes._base:update_title_pos\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/5f9a04b7b257b87773ce86e2dc349b7a.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.dviread:find_tex_file(cmmi10.tfm): ['kpsewhich', 'cmmi10.tfm']\n",
      "DEBUG:matplotlib.dviread:find_tex_file result: b'/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmmi10.tfm'\n",
      "DEBUG:matplotlib.dviread:opening tfm file /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmmi10.tfm\n",
      "DEBUG:matplotlib.dviread:lh=18, bc=0, ec=127, nw=98, nh=15, nd=9\n",
      "DEBUG:matplotlib.dviread:find_tex_file(cmmi10.vf): ['kpsewhich', 'cmmi10.vf']\n",
      "DEBUG:matplotlib.dviread:find_tex_file result: b''\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/c9c234ac8e2d43dd09e292509a1a8b19.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/388c6ec693c26383f1e32e19cd24cfaa.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/82072bfaaf21a9431e26684dd365e4a6.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/40ccaa6a2f32628dbec97667339ee86f.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/ada10624a87904d7fc66a54edc980419.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/eb694ff9b716ace8d6ca7b37ca7e1e20.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.axes._base:update_title_pos\n",
      "DEBUG:matplotlib.texmanager:serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: serif, font: Computer Modern Roman, info: ('cmr', '')\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: sans-serif, font: sans-serif, info: ('cmss', '')\n",
      "DEBUG:matplotlib.texmanager:cursive font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:cursive font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: cursive, font: Zapf Chancery, info: ('pzc', '\\\\usepackage{chancery}')\n",
      "DEBUG:matplotlib.texmanager:monospace font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:monospace font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: monospace, font: Computer Modern Typewriter, info: ('cmtt', '')\n",
      "DEBUG:matplotlib.texmanager:following keys changed: ['text.latex.preamble', 'text.latex.unicode', 'text.latex.preview', 'font.family', 'font.serif', 'font.sans-serif', 'font.cursive', 'font.monospace']\n",
      "DEBUG:matplotlib.texmanager:text.latex.preamble : None       -> ['\\\\usepackage{gensymb}']\n",
      "DEBUG:matplotlib.texmanager:text.latex.unicode  : None       -> True      \n",
      "DEBUG:matplotlib.texmanager:text.latex.preview  : None       -> False     \n",
      "DEBUG:matplotlib.texmanager:font.family         : None       -> ['serif'] \n",
      "DEBUG:matplotlib.texmanager:font.serif          : None       -> ['DejaVu Serif', 'Bitstream Vera Serif', 'Computer Modern Roman', 'New Century Schoolbook', 'Century Schoolbook L', 'Utopia', 'ITC Bookman', 'Bookman', 'Nimbus Roman No9 L', 'Times New Roman', 'Times', 'Palatino', 'Charter', 'serif']\n",
      "DEBUG:matplotlib.texmanager:font.sans-serif     : None       -> ['Arial', 'Liberation Sans', 'DejaVu Sans', 'Bitstream Vera Sans', 'sans-serif']\n",
      "DEBUG:matplotlib.texmanager:font.cursive        : None       -> ['Apple Chancery', 'Textile', 'Zapf Chancery', 'Sand', 'Script MT', 'Felipa', 'cursive']\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DEBUG:matplotlib.texmanager:font.monospace      : None       -> ['DejaVu Sans Mono', 'Bitstream Vera Sans Mono', 'Computer Modern Typewriter', 'Andale Mono', 'Nimbus Mono L', 'Courier New', 'Courier', 'Fixed', 'Terminal', 'monospace']\n",
      "DEBUG:matplotlib.texmanager:RE-INIT\n",
      "old fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: serif, font: Computer Modern Roman, info: ('cmr', '')\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: sans-serif, font: sans-serif, info: ('cmss', '')\n",
      "DEBUG:matplotlib.texmanager:cursive font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:cursive font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: cursive, font: Zapf Chancery, info: ('pzc', '\\\\usepackage{chancery}')\n",
      "DEBUG:matplotlib.texmanager:monospace font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:monospace font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: monospace, font: Computer Modern Typewriter, info: ('cmtt', '')\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/f9ac309c2b753de925ba9e54778c2985.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/26ee994043023b1c51fcef2990b7550f.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/55b8641da16f179b18d03a022c0faa37.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/f9ac309c2b753de925ba9e54778c2985.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.dviread:find_tex_file(pdftex.map): ['kpsewhich', 'pdftex.map']\n",
      "DEBUG:matplotlib.dviread:find_tex_file result: b'/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map'\n",
      "DEBUG:matplotlib.dviread:find_tex_file(cmr12.pfb): ['kpsewhich', 'cmr12.pfb']\n",
      "DEBUG:matplotlib.dviread:find_tex_file result: b'/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr12.pfb'\n",
      "DEBUG:matplotlib.backends.backend_pdf:Assigning font /b'F1' = b'cmr12' (dvi)\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/26ee994043023b1c51fcef2990b7550f.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/55b8641da16f179b18d03a022c0faa37.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/731fea91495e45dd1eb5c0a88c127a62.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/6079360a509564e5ec21f68ba96e07a8.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/6079360a509564e5ec21f68ba96e07a8.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.dviread:find_tex_file(cmr17.pfb): ['kpsewhich', 'cmr17.pfb']\n",
      "DEBUG:matplotlib.dviread:find_tex_file result: b'/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr17.pfb'\n",
      "DEBUG:matplotlib.backends.backend_pdf:Assigning font /b'F2' = b'cmr17' (dvi)\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/2cbad7cfeaac47ac71d80e3257114a40.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/e5eb6705878ce1f01325c742c7df4ae2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/042257ce4a74e485541fc2e9ce3f9f44.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/46c7005b58e200ca74f0f3f0ef0e1188.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/26c77c632c7d6d2589580ab48fa58bec.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/bbb49bebde07602af90e6c653719cb11.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/0379e661b5581e88de3d8c0b2a3ea2e0.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/2cbad7cfeaac47ac71d80e3257114a40.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/e5eb6705878ce1f01325c742c7df4ae2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/042257ce4a74e485541fc2e9ce3f9f44.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/46c7005b58e200ca74f0f3f0ef0e1188.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/26c77c632c7d6d2589580ab48fa58bec.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/bbb49bebde07602af90e6c653719cb11.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/0379e661b5581e88de3d8c0b2a3ea2e0.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/731fea91495e45dd1eb5c0a88c127a62.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/a1ba9e79d506e03fc15a39adc5058e43.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/a1ba9e79d506e03fc15a39adc5058e43.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/441b1c3eff034bb63c4e653a30190420.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/ef58b44fa4c1635554252f68c48b5daf.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/1b9eb3e35ca86382c7734d962a858aa2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/441b1c3eff034bb63c4e653a30190420.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/ef58b44fa4c1635554252f68c48b5daf.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/1b9eb3e35ca86382c7734d962a858aa2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.axes._base:update_title_pos\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/f9ac309c2b753de925ba9e54778c2985.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/26ee994043023b1c51fcef2990b7550f.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/55b8641da16f179b18d03a022c0faa37.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/6079360a509564e5ec21f68ba96e07a8.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/29323f49bbede44560df1d50e71b5ad1.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.dviread:find_tex_file(cmmi12.tfm): ['kpsewhich', 'cmmi12.tfm']\n",
      "DEBUG:matplotlib.dviread:find_tex_file result: b'/usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmmi12.tfm'\n",
      "DEBUG:matplotlib.dviread:opening tfm file /usr/share/texlive/texmf-dist/fonts/tfm/public/cm/cmmi12.tfm\n",
      "DEBUG:matplotlib.dviread:lh=18, bc=0, ec=127, nw=97, nh=15, nd=9\n",
      "DEBUG:matplotlib.dviread:find_tex_file(cmmi12.vf): ['kpsewhich', 'cmmi12.vf']\n",
      "DEBUG:matplotlib.dviread:find_tex_file result: b''\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/f8ece330a2ba5c02083d2a22d6d89d31.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/ddb3fa841caf0fa226bb9f006ac1e207.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/7b79f1c64a586a7542302f4bc76fd112.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/803cc617cbb3c81d77db96435b4daac2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/b14ed85429d707b7fff4e1d157ca6cdf.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/29323f49bbede44560df1d50e71b5ad1.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.dviread:find_tex_file(cmmi12.pfb): ['kpsewhich', 'cmmi12.pfb']\n",
      "DEBUG:matplotlib.dviread:find_tex_file result: b'/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi12.pfb'\n",
      "DEBUG:matplotlib.backends.backend_pdf:Assigning font /b'F3' = b'cmmi12' (dvi)\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/f8ece330a2ba5c02083d2a22d6d89d31.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/ddb3fa841caf0fa226bb9f006ac1e207.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/7b79f1c64a586a7542302f4bc76fd112.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/803cc617cbb3c81d77db96435b4daac2.dvi\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/b14ed85429d707b7fff4e1d157ca6cdf.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/731fea91495e45dd1eb5c0a88c127a62.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/eb694ff9b716ace8d6ca7b37ca7e1e20.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/eb694ff9b716ace8d6ca7b37ca7e1e20.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/441b1c3eff034bb63c4e653a30190420.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/ef58b44fa4c1635554252f68c48b5daf.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/1b9eb3e35ca86382c7734d962a858aa2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.backends.backend_pdf:Embedding Type-1 font b'cmmi12' from dvi.\n",
      "DEBUG:matplotlib.backends.backend_pdf:Embedding TeX font b'cmmi12' - fontinfo={'encodingfile': None, 'dvifont': <matplotlib.dviread.DviFont object at 0x7f450a4ed1a8>, 'pdfname': <Name b'F3'>, 'basefont': b'CMMI12', 'fontfile': '/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi12.pfb', 'effects': {}}\n",
      "DEBUG:matplotlib.backends.backend_pdf:Embedding Type-1 font b'cmr12' from dvi.\n",
      "DEBUG:matplotlib.backends.backend_pdf:Embedding TeX font b'cmr12' - fontinfo={'encodingfile': None, 'dvifont': <matplotlib.dviread.DviFont object at 0x7f450a47e780>, 'pdfname': <Name b'F1'>, 'basefont': b'CMR12', 'fontfile': '/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr12.pfb', 'effects': {}}\n",
      "DEBUG:matplotlib.backends.backend_pdf:Embedding Type-1 font b'cmr17' from dvi.\n",
      "DEBUG:matplotlib.backends.backend_pdf:Embedding TeX font b'cmr17' - fontinfo={'encodingfile': None, 'dvifont': <matplotlib.dviread.DviFont object at 0x7f450a4ed0a0>, 'pdfname': <Name b'F2'>, 'basefont': b'CMR17', 'fontfile': '/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr17.pfb', 'effects': {}}\n",
      "DEBUG:matplotlib.axes._base:update_title_pos\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/f9ac309c2b753de925ba9e54778c2985.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/26ee994043023b1c51fcef2990b7550f.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/55b8641da16f179b18d03a022c0faa37.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/6079360a509564e5ec21f68ba96e07a8.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/6079360a509564e5ec21f68ba96e07a8.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/2cbad7cfeaac47ac71d80e3257114a40.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/e5eb6705878ce1f01325c742c7df4ae2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/042257ce4a74e485541fc2e9ce3f9f44.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/46c7005b58e200ca74f0f3f0ef0e1188.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/26c77c632c7d6d2589580ab48fa58bec.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/bbb49bebde07602af90e6c653719cb11.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/0379e661b5581e88de3d8c0b2a3ea2e0.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/a1ba9e79d506e03fc15a39adc5058e43.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/a1ba9e79d506e03fc15a39adc5058e43.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/441b1c3eff034bb63c4e653a30190420.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/ef58b44fa4c1635554252f68c48b5daf.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/1b9eb3e35ca86382c7734d962a858aa2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.axes._base:update_title_pos\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/f9ac309c2b753de925ba9e54778c2985.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/26ee994043023b1c51fcef2990b7550f.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/55b8641da16f179b18d03a022c0faa37.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/6079360a509564e5ec21f68ba96e07a8.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/29323f49bbede44560df1d50e71b5ad1.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/f8ece330a2ba5c02083d2a22d6d89d31.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/ddb3fa841caf0fa226bb9f006ac1e207.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/7b79f1c64a586a7542302f4bc76fd112.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/803cc617cbb3c81d77db96435b4daac2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/b14ed85429d707b7fff4e1d157ca6cdf.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/29323f49bbede44560df1d50e71b5ad1.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/f8ece330a2ba5c02083d2a22d6d89d31.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/ddb3fa841caf0fa226bb9f006ac1e207.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/7b79f1c64a586a7542302f4bc76fd112.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/803cc617cbb3c81d77db96435b4daac2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/b14ed85429d707b7fff4e1d157ca6cdf.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/eb694ff9b716ace8d6ca7b37ca7e1e20.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/eb694ff9b716ace8d6ca7b37ca7e1e20.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/441b1c3eff034bb63c4e653a30190420.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/ef58b44fa4c1635554252f68c48b5daf.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/1b9eb3e35ca86382c7734d962a858aa2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.axes._base:update_title_pos\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/f9ac309c2b753de925ba9e54778c2985.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/26ee994043023b1c51fcef2990b7550f.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/55b8641da16f179b18d03a022c0faa37.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/f9ac309c2b753de925ba9e54778c2985.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/26ee994043023b1c51fcef2990b7550f.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/55b8641da16f179b18d03a022c0faa37.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/6079360a509564e5ec21f68ba96e07a8.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/2cbad7cfeaac47ac71d80e3257114a40.dvi\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/e5eb6705878ce1f01325c742c7df4ae2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/042257ce4a74e485541fc2e9ce3f9f44.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/46c7005b58e200ca74f0f3f0ef0e1188.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/26c77c632c7d6d2589580ab48fa58bec.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/bbb49bebde07602af90e6c653719cb11.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/0379e661b5581e88de3d8c0b2a3ea2e0.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/2cbad7cfeaac47ac71d80e3257114a40.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/e5eb6705878ce1f01325c742c7df4ae2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/042257ce4a74e485541fc2e9ce3f9f44.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/46c7005b58e200ca74f0f3f0ef0e1188.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/26c77c632c7d6d2589580ab48fa58bec.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/bbb49bebde07602af90e6c653719cb11.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/0379e661b5581e88de3d8c0b2a3ea2e0.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/a1ba9e79d506e03fc15a39adc5058e43.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/441b1c3eff034bb63c4e653a30190420.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/ef58b44fa4c1635554252f68c48b5daf.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/1b9eb3e35ca86382c7734d962a858aa2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/441b1c3eff034bb63c4e653a30190420.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/ef58b44fa4c1635554252f68c48b5daf.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/1b9eb3e35ca86382c7734d962a858aa2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.axes._base:update_title_pos\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/f9ac309c2b753de925ba9e54778c2985.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/26ee994043023b1c51fcef2990b7550f.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/55b8641da16f179b18d03a022c0faa37.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/6079360a509564e5ec21f68ba96e07a8.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/29323f49bbede44560df1d50e71b5ad1.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/f8ece330a2ba5c02083d2a22d6d89d31.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/ddb3fa841caf0fa226bb9f006ac1e207.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/7b79f1c64a586a7542302f4bc76fd112.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/803cc617cbb3c81d77db96435b4daac2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/b14ed85429d707b7fff4e1d157ca6cdf.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/eb694ff9b716ace8d6ca7b37ca7e1e20.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/441b1c3eff034bb63c4e653a30190420.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/ef58b44fa4c1635554252f68c48b5daf.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/1b9eb3e35ca86382c7734d962a858aa2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.axes._base:update_title_pos\n",
      "DEBUG:matplotlib.axes._base:update_title_pos\n",
      "DEBUG:matplotlib.axes._base:update_title_pos\n",
      "DEBUG:matplotlib.axes._base:update_title_pos\n",
      "DEBUG:matplotlib.axes._base:update_title_pos\n",
      "DEBUG:matplotlib.texmanager:serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: serif, font: Computer Modern Roman, info: ('cmr', '')\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: sans-serif, font: sans-serif, info: ('cmss', '')\n",
      "DEBUG:matplotlib.texmanager:cursive font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:cursive font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: cursive, font: Zapf Chancery, info: ('pzc', '\\\\usepackage{chancery}')\n",
      "DEBUG:matplotlib.texmanager:monospace font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:monospace font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: monospace, font: Computer Modern Typewriter, info: ('cmtt', '')\n",
      "DEBUG:matplotlib.texmanager:following keys changed: ['text.latex.preamble', 'text.latex.unicode', 'text.latex.preview', 'font.family', 'font.serif', 'font.sans-serif', 'font.cursive', 'font.monospace']\n",
      "DEBUG:matplotlib.texmanager:text.latex.preamble : None       -> ['\\\\usepackage{gensymb}']\n",
      "DEBUG:matplotlib.texmanager:text.latex.unicode  : None       -> True      \n",
      "DEBUG:matplotlib.texmanager:text.latex.preview  : None       -> False     \n",
      "DEBUG:matplotlib.texmanager:font.family         : None       -> ['serif'] \n",
      "DEBUG:matplotlib.texmanager:font.serif          : None       -> ['DejaVu Serif', 'Bitstream Vera Serif', 'Computer Modern Roman', 'New Century Schoolbook', 'Century Schoolbook L', 'Utopia', 'ITC Bookman', 'Bookman', 'Nimbus Roman No9 L', 'Times New Roman', 'Times', 'Palatino', 'Charter', 'serif']\n",
      "DEBUG:matplotlib.texmanager:font.sans-serif     : None       -> ['Arial', 'Liberation Sans', 'DejaVu Sans', 'Bitstream Vera Sans', 'sans-serif']\n",
      "DEBUG:matplotlib.texmanager:font.cursive        : None       -> ['Apple Chancery', 'Textile', 'Zapf Chancery', 'Sand', 'Script MT', 'Felipa', 'cursive']\n",
      "DEBUG:matplotlib.texmanager:font.monospace      : None       -> ['DejaVu Sans Mono', 'Bitstream Vera Sans Mono', 'Computer Modern Typewriter', 'Andale Mono', 'Nimbus Mono L', 'Courier New', 'Courier', 'Fixed', 'Terminal', 'monospace']\n",
      "DEBUG:matplotlib.texmanager:RE-INIT\n",
      "old fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: serif, font: Computer Modern Roman, info: ('cmr', '')\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: sans-serif, font: sans-serif, info: ('cmss', '')\n",
      "DEBUG:matplotlib.texmanager:cursive font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:cursive font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: cursive, font: Zapf Chancery, info: ('pzc', '\\\\usepackage{chancery}')\n",
      "DEBUG:matplotlib.texmanager:monospace font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:monospace font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: monospace, font: Computer Modern Typewriter, info: ('cmtt', '')\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/f9ac309c2b753de925ba9e54778c2985.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/26ee994043023b1c51fcef2990b7550f.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/55b8641da16f179b18d03a022c0faa37.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/f9ac309c2b753de925ba9e54778c2985.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/26ee994043023b1c51fcef2990b7550f.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/55b8641da16f179b18d03a022c0faa37.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/6079360a509564e5ec21f68ba96e07a8.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/6079360a509564e5ec21f68ba96e07a8.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/2cbad7cfeaac47ac71d80e3257114a40.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/e5eb6705878ce1f01325c742c7df4ae2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/042257ce4a74e485541fc2e9ce3f9f44.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/46c7005b58e200ca74f0f3f0ef0e1188.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/26c77c632c7d6d2589580ab48fa58bec.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/bbb49bebde07602af90e6c653719cb11.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/0379e661b5581e88de3d8c0b2a3ea2e0.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/2cbad7cfeaac47ac71d80e3257114a40.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/e5eb6705878ce1f01325c742c7df4ae2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/042257ce4a74e485541fc2e9ce3f9f44.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/46c7005b58e200ca74f0f3f0ef0e1188.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/26c77c632c7d6d2589580ab48fa58bec.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/bbb49bebde07602af90e6c653719cb11.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/0379e661b5581e88de3d8c0b2a3ea2e0.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/a1ba9e79d506e03fc15a39adc5058e43.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/a1ba9e79d506e03fc15a39adc5058e43.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/441b1c3eff034bb63c4e653a30190420.dvi\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/ef58b44fa4c1635554252f68c48b5daf.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/1b9eb3e35ca86382c7734d962a858aa2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/441b1c3eff034bb63c4e653a30190420.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/ef58b44fa4c1635554252f68c48b5daf.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/1b9eb3e35ca86382c7734d962a858aa2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.axes._base:update_title_pos\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/f9ac309c2b753de925ba9e54778c2985.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/26ee994043023b1c51fcef2990b7550f.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/55b8641da16f179b18d03a022c0faa37.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/6079360a509564e5ec21f68ba96e07a8.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/29323f49bbede44560df1d50e71b5ad1.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/f8ece330a2ba5c02083d2a22d6d89d31.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/ddb3fa841caf0fa226bb9f006ac1e207.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/7b79f1c64a586a7542302f4bc76fd112.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/803cc617cbb3c81d77db96435b4daac2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/b14ed85429d707b7fff4e1d157ca6cdf.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/29323f49bbede44560df1d50e71b5ad1.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/f8ece330a2ba5c02083d2a22d6d89d31.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/ddb3fa841caf0fa226bb9f006ac1e207.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/7b79f1c64a586a7542302f4bc76fd112.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/803cc617cbb3c81d77db96435b4daac2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/b14ed85429d707b7fff4e1d157ca6cdf.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/eb694ff9b716ace8d6ca7b37ca7e1e20.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/eb694ff9b716ace8d6ca7b37ca7e1e20.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/441b1c3eff034bb63c4e653a30190420.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/ef58b44fa4c1635554252f68c48b5daf.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/1b9eb3e35ca86382c7734d962a858aa2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8,4))\n",
    "ax = fig.add_subplot(121)\n",
    "\n",
    "ax.set_xlabel(r\"Max depth\", fontsize=font_size)\n",
    "ax.set_ylabel(\"RMSE\", fontsize=font_size)\n",
    "lw = 2\n",
    "ax.plot(param_range, train_scores_mean, label=\"Training score\",\n",
    "             color=\"darkorange\", lw=lw)\n",
    "ax.fill_between(param_range, train_scores_mean - train_scores_std,\n",
    "                 train_scores_mean + train_scores_std, alpha=0.2,\n",
    "                 color=\"darkorange\", lw=lw)\n",
    "ax.plot(param_range, test_scores_mean, label=\"Cross-validation\\nscore\",\n",
    "             color=\"navy\", lw=lw)\n",
    "ax.fill_between(param_range, test_scores_mean - test_scores_std,\n",
    "                 test_scores_mean + test_scores_std, alpha=0.2,\n",
    "                 color=\"navy\", lw=lw)\n",
    "ax.legend(loc=\"best\", frameon=True, prop={'size':16})\n",
    "plt.xticks(fontsize=16)\n",
    "plt.yticks(fontsize=16)\n",
    "ax1 = fig.add_subplot(122)\n",
    "\n",
    "ax1.set_xlabel(r\"Max depth\", fontsize=font_size)\n",
    "ax1.set_ylabel(\"IoU\", fontsize=font_size)\n",
    "lw = 2\n",
    "ax1.set_ylim(0,1)\n",
    "ax1.plot(param_range, train_scores_mean_iou, label=\"Training score\",\n",
    "             color=\"darkorange\", lw=lw)\n",
    "ax1.fill_between(param_range, train_scores_mean_iou - train_scores_std_iou,\n",
    "                 train_scores_mean_iou + train_scores_std_iou, alpha=0.2,\n",
    "                 color=\"darkorange\", lw=lw)\n",
    "ax1.plot(param_range, test_scores_mean_iou, label=\"Cross-validation\\nscore\",\n",
    "             color=\"navy\", lw=lw)\n",
    "ax1.fill_between(param_range, test_scores_mean_iou - test_scores_std_iou,\n",
    "                 test_scores_mean_iou + test_scores_std_iou, alpha=0.2,\n",
    "                 color=\"navy\", lw=lw)\n",
    "ax1.legend(loc=\"best\", frameon=True, prop={'size':16})\n",
    "plt.tight_layout()\n",
    "plt.xticks(fontsize=16)\n",
    "plt.yticks(fontsize=16)\n",
    "plt.savefig('output/sensitivity/ml_models/max-depth-vs-iou-rmse.pdf',format='pdf',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.style.use('seaborn-ticks')\n",
    "plt.rc('text', usetex=True)\n",
    "font_size=22\n",
    "params = {'backend': 'ps',\n",
    "          'text.latex.preamble': ['\\\\usepackage{gensymb}'],\n",
    "          'text.usetex': True,\n",
    "          'font.family': 'serif'\n",
    "}\n",
    "\n",
    "plt.rcParams.update(params)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DEBUG:matplotlib.texmanager:serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: serif, font: Computer Modern Roman, info: ('cmr', '')\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: sans-serif, font: sans-serif, info: ('cmss', '')\n",
      "DEBUG:matplotlib.texmanager:cursive font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:cursive font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: cursive, font: Zapf Chancery, info: ('pzc', '\\\\usepackage{chancery}')\n",
      "DEBUG:matplotlib.texmanager:monospace font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:monospace font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: monospace, font: Computer Modern Typewriter, info: ('cmtt', '')\n",
      "DEBUG:matplotlib.texmanager:following keys changed: ['text.latex.preamble', 'text.latex.unicode', 'text.latex.preview', 'font.family', 'font.serif', 'font.sans-serif', 'font.cursive', 'font.monospace']\n",
      "DEBUG:matplotlib.texmanager:text.latex.preamble : None       -> ['\\\\usepackage{gensymb}']\n",
      "DEBUG:matplotlib.texmanager:text.latex.unicode  : None       -> True      \n",
      "DEBUG:matplotlib.texmanager:text.latex.preview  : None       -> False     \n",
      "DEBUG:matplotlib.texmanager:font.family         : None       -> ['serif'] \n",
      "DEBUG:matplotlib.texmanager:font.serif          : None       -> ['DejaVu Serif', 'Bitstream Vera Serif', 'Computer Modern Roman', 'New Century Schoolbook', 'Century Schoolbook L', 'Utopia', 'ITC Bookman', 'Bookman', 'Nimbus Roman No9 L', 'Times New Roman', 'Times', 'Palatino', 'Charter', 'serif']\n",
      "DEBUG:matplotlib.texmanager:font.sans-serif     : None       -> ['Arial', 'Liberation Sans', 'DejaVu Sans', 'Bitstream Vera Sans', 'sans-serif']\n",
      "DEBUG:matplotlib.texmanager:font.cursive        : None       -> ['Apple Chancery', 'Textile', 'Zapf Chancery', 'Sand', 'Script MT', 'Felipa', 'cursive']\n",
      "DEBUG:matplotlib.texmanager:font.monospace      : None       -> ['DejaVu Sans Mono', 'Bitstream Vera Sans Mono', 'Computer Modern Typewriter', 'Andale Mono', 'Nimbus Mono L', 'Courier New', 'Courier', 'Fixed', 'Terminal', 'monospace']\n",
      "DEBUG:matplotlib.texmanager:RE-INIT\n",
      "old fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: serif, font: Computer Modern Roman, info: ('cmr', '')\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: sans-serif, font: sans-serif, info: ('cmss', '')\n",
      "DEBUG:matplotlib.texmanager:cursive font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:cursive font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: cursive, font: Zapf Chancery, info: ('pzc', '\\\\usepackage{chancery}')\n",
      "DEBUG:matplotlib.texmanager:monospace font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:monospace font is not compatible with usetex.\n",
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      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
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      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.axes._base:update_title_pos\n",
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      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
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      "DEBUG:matplotlib.texmanager:serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: serif, font: Computer Modern Roman, info: ('cmr', '')\n",
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      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
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      "DEBUG:matplotlib.texmanager:cursive font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: cursive, font: Zapf Chancery, info: ('pzc', '\\\\usepackage{chancery}')\n",
      "DEBUG:matplotlib.texmanager:monospace font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:monospace font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: monospace, font: Computer Modern Typewriter, info: ('cmtt', '')\n",
      "DEBUG:matplotlib.texmanager:following keys changed: ['text.latex.preamble', 'text.latex.unicode', 'text.latex.preview', 'font.family', 'font.serif', 'font.sans-serif', 'font.cursive', 'font.monospace']\n",
      "DEBUG:matplotlib.texmanager:text.latex.preamble : None       -> ['\\\\usepackage{gensymb}']\n",
      "DEBUG:matplotlib.texmanager:text.latex.unicode  : None       -> True      \n",
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      "DEBUG:matplotlib.texmanager:family: serif, font: Computer Modern Roman, info: ('cmr', '')\n",
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      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: sans-serif, font: sans-serif, info: ('cmss', '')\n",
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      "DEBUG:matplotlib.texmanager:cursive font is not compatible with usetex.\n",
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      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
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      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
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      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
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      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/2cbad7cfeaac47ac71d80e3257114a40.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.backends.backend_pdf:Assigning font /b'F1' = b'cmr12' (dvi)\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/e5eb6705878ce1f01325c742c7df4ae2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n"
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      "/home/fotis/anaconda3/envs/data_vis/lib/python3.5/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
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     "text": [
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/042257ce4a74e485541fc2e9ce3f9f44.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/46c7005b58e200ca74f0f3f0ef0e1188.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/26c77c632c7d6d2589580ab48fa58bec.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/bbb49bebde07602af90e6c653719cb11.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/731fea91495e45dd1eb5c0a88c127a62.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/a1ba9e79d506e03fc15a39adc5058e43.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/a1ba9e79d506e03fc15a39adc5058e43.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.backends.backend_pdf:Assigning font /b'F2' = b'cmr17' (dvi)\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/1c10b2e5c4e8bf3da39cdba3e17e8b3a.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/63790de704eb448c94cb19dd7e53a737.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
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      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
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      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/4c171bb1d738c86a445079085e6c26ca.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
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      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/1c10b2e5c4e8bf3da39cdba3e17e8b3a.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.backends.backend_pdf:Assigning font /b'F3' = b'cmmi12' (dvi)\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/63790de704eb448c94cb19dd7e53a737.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/4c171bb1d738c86a445079085e6c26ca.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
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      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/731fea91495e45dd1eb5c0a88c127a62.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/eb694ff9b716ace8d6ca7b37ca7e1e20.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
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      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/eb694ff9b716ace8d6ca7b37ca7e1e20.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/cfb6a7240556f21c5ea876553ef6e041.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/8a5c34cb08cc73292460ed5ebe1b30c2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/cfb6a7240556f21c5ea876553ef6e041.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.backends.backend_pdf:Embedding Type-1 font b'cmmi12' from dvi.\n",
      "DEBUG:matplotlib.backends.backend_pdf:Embedding TeX font b'cmmi12' - fontinfo={'encodingfile': None, 'dvifont': <matplotlib.dviread.DviFont object at 0x7f4508d16678>, 'pdfname': <Name b'F3'>, 'basefont': b'CMMI12', 'fontfile': '/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi12.pfb', 'effects': {}}\n"
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DEBUG:matplotlib.backends.backend_pdf:Embedding Type-1 font b'cmr12' from dvi.\n",
      "DEBUG:matplotlib.backends.backend_pdf:Embedding TeX font b'cmr12' - fontinfo={'encodingfile': None, 'dvifont': <matplotlib.dviread.DviFont object at 0x7f4508d16308>, 'pdfname': <Name b'F1'>, 'basefont': b'CMR12', 'fontfile': '/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr12.pfb', 'effects': {}}\n",
      "DEBUG:matplotlib.backends.backend_pdf:Embedding Type-1 font b'cmr17' from dvi.\n",
      "DEBUG:matplotlib.backends.backend_pdf:Embedding TeX font b'cmr17' - fontinfo={'encodingfile': None, 'dvifont': <matplotlib.dviread.DviFont object at 0x7f4508d16518>, 'pdfname': <Name b'F2'>, 'basefont': b'CMR17', 'fontfile': '/usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr17.pfb', 'effects': {}}\n",
      "DEBUG:matplotlib.axes._base:update_title_pos\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/e5eb6705878ce1f01325c742c7df4ae2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/46c7005b58e200ca74f0f3f0ef0e1188.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/bbb49bebde07602af90e6c653719cb11.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/2cbad7cfeaac47ac71d80e3257114a40.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
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      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/e5eb6705878ce1f01325c742c7df4ae2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
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      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/042257ce4a74e485541fc2e9ce3f9f44.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
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      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/46c7005b58e200ca74f0f3f0ef0e1188.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
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      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/26c77c632c7d6d2589580ab48fa58bec.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
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      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/bbb49bebde07602af90e6c653719cb11.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/a1ba9e79d506e03fc15a39adc5058e43.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/a1ba9e79d506e03fc15a39adc5058e43.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
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      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/1c10b2e5c4e8bf3da39cdba3e17e8b3a.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/63790de704eb448c94cb19dd7e53a737.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/4c171bb1d738c86a445079085e6c26ca.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/eb694ff9b716ace8d6ca7b37ca7e1e20.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/eb694ff9b716ace8d6ca7b37ca7e1e20.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:['dvipng', '-bg', 'Transparent', '-D', '72', '-T', 'tight', '-o', '/home/fotis/.cache/matplotlib/tex.cache/dc6e5691af55e02d371dc6d719013113.png', '/home/fotis/.cache/matplotlib/tex.cache/cfb6a7240556f21c5ea876553ef6e041.dvi']\n",
      "DEBUG:matplotlib.texmanager:b'This is dvipng 1.15 Copyright 2002-2015 Jan-Ake Larsson\\n[1] \\n'\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/cfb6a7240556f21c5ea876553ef6e041.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.axes._base:update_title_pos\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/2cbad7cfeaac47ac71d80e3257114a40.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/e5eb6705878ce1f01325c742c7df4ae2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/042257ce4a74e485541fc2e9ce3f9f44.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/46c7005b58e200ca74f0f3f0ef0e1188.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/26c77c632c7d6d2589580ab48fa58bec.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/bbb49bebde07602af90e6c653719cb11.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/a1ba9e79d506e03fc15a39adc5058e43.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/1c10b2e5c4e8bf3da39cdba3e17e8b3a.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/63790de704eb448c94cb19dd7e53a737.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/4c171bb1d738c86a445079085e6c26ca.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/eb694ff9b716ace8d6ca7b37ca7e1e20.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/cfb6a7240556f21c5ea876553ef6e041.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.axes._base:update_title_pos\n",
      "DEBUG:matplotlib.axes._base:update_title_pos\n",
      "DEBUG:matplotlib.axes._base:update_title_pos\n",
      "DEBUG:matplotlib.texmanager:serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: serif, font: Computer Modern Roman, info: ('cmr', '')\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: sans-serif, font: sans-serif, info: ('cmss', '')\n",
      "DEBUG:matplotlib.texmanager:cursive font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:cursive font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: cursive, font: Zapf Chancery, info: ('pzc', '\\\\usepackage{chancery}')\n",
      "DEBUG:matplotlib.texmanager:monospace font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:monospace font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: monospace, font: Computer Modern Typewriter, info: ('cmtt', '')\n",
      "DEBUG:matplotlib.texmanager:following keys changed: ['text.latex.preamble', 'text.latex.unicode', 'text.latex.preview', 'font.family', 'font.serif', 'font.sans-serif', 'font.cursive', 'font.monospace']\n",
      "DEBUG:matplotlib.texmanager:text.latex.preamble : None       -> ['\\\\usepackage{gensymb}']\n",
      "DEBUG:matplotlib.texmanager:text.latex.unicode  : None       -> True      \n",
      "DEBUG:matplotlib.texmanager:text.latex.preview  : None       -> False     \n",
      "DEBUG:matplotlib.texmanager:font.family         : None       -> ['serif'] \n",
      "DEBUG:matplotlib.texmanager:font.serif          : None       -> ['DejaVu Serif', 'Bitstream Vera Serif', 'Computer Modern Roman', 'New Century Schoolbook', 'Century Schoolbook L', 'Utopia', 'ITC Bookman', 'Bookman', 'Nimbus Roman No9 L', 'Times New Roman', 'Times', 'Palatino', 'Charter', 'serif']\n",
      "DEBUG:matplotlib.texmanager:font.sans-serif     : None       -> ['Arial', 'Liberation Sans', 'DejaVu Sans', 'Bitstream Vera Sans', 'sans-serif']\n",
      "DEBUG:matplotlib.texmanager:font.cursive        : None       -> ['Apple Chancery', 'Textile', 'Zapf Chancery', 'Sand', 'Script MT', 'Felipa', 'cursive']\n",
      "DEBUG:matplotlib.texmanager:font.monospace      : None       -> ['DejaVu Sans Mono', 'Bitstream Vera Sans Mono', 'Computer Modern Typewriter', 'Andale Mono', 'Nimbus Mono L', 'Courier New', 'Courier', 'Fixed', 'Terminal', 'monospace']\n",
      "DEBUG:matplotlib.texmanager:RE-INIT\n",
      "old fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: serif, font: Computer Modern Roman, info: ('cmr', '')\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:sans-serif font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: sans-serif, font: sans-serif, info: ('cmss', '')\n",
      "DEBUG:matplotlib.texmanager:cursive font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:cursive font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: cursive, font: Zapf Chancery, info: ('pzc', '\\\\usepackage{chancery}')\n",
      "DEBUG:matplotlib.texmanager:monospace font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:monospace font is not compatible with usetex.\n",
      "DEBUG:matplotlib.texmanager:family: monospace, font: Computer Modern Typewriter, info: ('cmtt', '')\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/2cbad7cfeaac47ac71d80e3257114a40.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/e5eb6705878ce1f01325c742c7df4ae2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/042257ce4a74e485541fc2e9ce3f9f44.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/46c7005b58e200ca74f0f3f0ef0e1188.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/26c77c632c7d6d2589580ab48fa58bec.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/bbb49bebde07602af90e6c653719cb11.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/2cbad7cfeaac47ac71d80e3257114a40.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/e5eb6705878ce1f01325c742c7df4ae2.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/042257ce4a74e485541fc2e9ce3f9f44.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/46c7005b58e200ca74f0f3f0ef0e1188.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/26c77c632c7d6d2589580ab48fa58bec.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/bbb49bebde07602af90e6c653719cb11.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/a1ba9e79d506e03fc15a39adc5058e43.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/a1ba9e79d506e03fc15a39adc5058e43.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/1c10b2e5c4e8bf3da39cdba3e17e8b3a.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/63790de704eb448c94cb19dd7e53a737.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/4c171bb1d738c86a445079085e6c26ca.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/1c10b2e5c4e8bf3da39cdba3e17e8b3a.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/63790de704eb448c94cb19dd7e53a737.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/4c171bb1d738c86a445079085e6c26ca.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/eb694ff9b716ace8d6ca7b37ca7e1e20.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/eb694ff9b716ace8d6ca7b37ca7e1e20.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/cfb6a7240556f21c5ea876553ef6e041.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.texmanager:fontconfig: serifcmrcmsspzccmtt20497a30a03f610e773b50fa581d240e\n",
      "DEBUG:matplotlib.dviread:Dvi: /home/fotis/.cache/matplotlib/tex.cache/cfb6a7240556f21c5ea876553ef6e041.dvi\n",
      "DEBUG:matplotlib.dviread:Dvi._xxx: encountered special: papersize=5203.43999pt,5203.43999pt\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.regplot(train_scores_mean, train_scores_mean_iou, n_boot=1200, label='Correlation Coef : {0}'.format(np.round(np.corrcoef(train_scores_mean,train_scores_mean_iou)[0,1],2)))\n",
    "plt.legend(loc='best', prop={'size': 16}, frameon=True)\n",
    "plt.xlabel('RMSE', fontsize=22)\n",
    "plt.ylabel('IoU', fontsize=22)\n",
    "plt.tick_params(labelsize=16)\n",
    "plt.tight_layout()\n",
    "plt.savefig('output/sensitivity/ml_models/rmse-corr-iou.pdf',format='pdf',dpi=300)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3>Sensitivity Analysis on GlowWorm parameters</h3>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "with open('models/queries-uniform-1-multi_False-aggr-XGB-RMSE=0.26-R2=0.97.pkl', 'rb') as file:  \n",
    "    m = pickle.load(file)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "m.best_params_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def objective_density(X):\n",
    "    res = np.log(m.predict(X) - 1000) - c*np.sum(np.log(1+X[:,X.shape[1]//2:]),axis=1)\n",
    "    res[np.isnan(res)] = -np.inf\n",
    "    return res\n",
    "def naive_objective_density(X):\n",
    "    res = (m.predict(X) - 500) / np.sum(np.log(1+X[:,X.shape[1]//2:]),axis=1)**5\n",
    "    return res\n",
    "def objective_aggr(X):\n",
    "    res = np.log(m.predict(X) - 2) - c*np.sum(np.log(1+X[:,X.shape[1]//2:X.shape[1]]),axis=1)\n",
    "    res[np.isnan(res)] = -np.inf\n",
    "    return res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "iterations = [100,300, 500, 800, 1000, 1100]\n",
    "glowworms = [50, 100, 150, 200]\n",
    "cs = [1,2,3,4, 5, 6, 7, 8]\n",
    "nts = [2, 3, 5, 10, 15]\n",
    "r0s = np.linspace(0,1,6)\n",
    "def run_opt(iters, glow, c_, nt, r0):\n",
    "    global c\n",
    "    c = c_\n",
    "    logger.debug(\"Config iters={0}\\tglowworms={1}\\tc={2}\".format(iters,glow,c))\n",
    "    gw = GlowWorm(objective_density, dimensions=2,glowworms=glow,iter_max=iters,nt=nt,r0=r0)\n",
    "    gw.optimize()\n",
    "    proposed = gw.X[np.argsort(-objective_density(gw.X)),:][:10]\n",
    "    boxes = compute_boxes(False, 1)\n",
    "    iou = compute_iou(boxes, proposed,False, 1)\n",
    "    return iou,proposed,gw.X"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h4>Keeping others constant</h4>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "iou_runs = []\n",
    "for r in range(10):\n",
    "    iou_iters = []\n",
    "    for it in iterations:\n",
    "        iou,p,x = run_opt(it, 50, 4, 5, 0.2)\n",
    "        iou_iters.append(iou)\n",
    "    iou_runs.append(iou_iters)\n",
    "    \n",
    "means = np.mean(iou_runs,axis=0)\n",
    "stds = np.std(iou_runs,axis=0)\n",
    "\n",
    "plt.fill_between(iterations, means - stds,\n",
    "                 means + stds, alpha=0.1, color=\"g\")\n",
    "plt.plot(iterations, means, 'o-', color=\"r\",)\n",
    "plt.ylim(0,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "nts_runs = []\n",
    "for r in range(10):\n",
    "    nts_iters = []\n",
    "    for nt in nts:\n",
    "        iou,p,x = run_opt(100, 50, 4, nt, 0.2)\n",
    "        nts_iters.append(iou)\n",
    "    nts_runs.append(nts_iters)\n",
    "means = np.mean(nts_runs,axis=0)\n",
    "stds = np.std(nts_runs,axis=0)\n",
    "\n",
    "plt.fill_between(nts, means - stds,\n",
    "                 means + stds, alpha=0.1, color=\"g\")\n",
    "plt.plot(nts, means, 'o-', color=\"r\",)\n",
    "plt.ylim(0,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "cs_runs = []\n",
    "for r in range(10):\n",
    "    cs_iters = []\n",
    "    for c in cs:\n",
    "        iou,p,x = run_opt(100, 50, c, 5, 0.2)\n",
    "        cs_iters.append(iou)\n",
    "    cs_runs.append(cs_iters)\n",
    "means = np.mean(cs_runs,axis=0)\n",
    "stds = np.std(cs_runs,axis=0)\n",
    "\n",
    "plt.fill_between(cs, means - stds,\n",
    "                 means + stds, alpha=0.1, color=\"g\")\n",
    "plt.plot(cs, means, 'o-', color=\"r\",)\n",
    "plt.ylim(0,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "glow_runs = []\n",
    "for r in range(10):\n",
    "    glow_iters = []\n",
    "    for g in glowworms:\n",
    "        iou,p,x = run_opt(100, g, 4, 5, 0.2)\n",
    "        glow_iters.append(iou)\n",
    "    glow_runs.append(glow_iters)\n",
    "means = np.mean(glow_runs,axis=0)\n",
    "stds = np.std(glow_runs,axis=0)\n",
    "\n",
    "plt.fill_between(glowworms, means - stds,\n",
    "                 means + stds, alpha=0.1, color=\"g\")\n",
    "plt.plot(glowworms, means, 'o-', color=\"r\",)\n",
    "plt.ylim(0,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "r0s_runs = []\n",
    "for r in range(10):\n",
    "    r0s_iters = []\n",
    "    for r0 in r0s:\n",
    "        iou,p,x = run_opt(100, 50, 4, 5, r0)\n",
    "        r0s_iters.append(iou)\n",
    "    r0s_runs.append(r0s_iters)\n",
    "means = np.mean(r0s_runs,axis=0)\n",
    "stds = np.std(r0s_runs,axis=0)\n",
    "\n",
    "plt.fill_between(r0s, means - stds,\n",
    "                 means + stds, alpha=0.1, color=\"g\")\n",
    "plt.plot(r0s, means, 'o-', color=\"r\",)\n",
    "plt.ylim(0,1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3>Optimization</h3>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "ious = []\n",
    "configs = []\n",
    "for it, glo, co,nt,r0 in itertools.product(*[iterations,glowworms, cs,nts, r0s]):\n",
    "    iou = run_opt(it, glo,co,nt,r0)\n",
    "    ious.append(iou)\n",
    "    configs.append((it,glo,co,nt,r0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "configs[np.argmax(ious)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3>Convergence Rate</h3>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "with open('models/queries-uniform-1-multi_False-density-XGB-RMSE=51.92-R2=0.99.pkl', 'rb') as file:  \n",
    "    m = pickle.load(file)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "global c\n",
    "c = 4 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "gw = GlowWorm(objective_density,dimensions=2,log_trace=True,iter_max=100, r0=0.17)\n",
    "gw.optimize()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "js = []\n",
    "for i in range(0,gw.history.shape[1]-1,2):\n",
    "    x_at_i = gw.history[:,i:i+2]\n",
    "    j_vals = objective_density(x_at_i)\n",
    "    j_vals = j_vals[j_vals!=-np.inf]\n",
    "    js.append(np.mean(j_vals))\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.plot(range(101), js)\n",
    "plt.ylabel('Expected J')\n",
    "plt.xlabel('Iterations')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "convergence_rate = []\n",
    "#Load models and run experiments\n",
    "directory = os.fsencode('models')\n",
    "for file in os.listdir(directory):\n",
    "    filename = os.fsdecode(file)\n",
    "    if (not filename.startswith('queries')) or ('XGB' not in filename) or ('density' not in filename):\n",
    "        continue;\n",
    "    logger.debug(filename)\n",
    "    a = filename.split('-')\n",
    "    dims = int(a[2])\n",
    "    multi = a[3].split('_')[1]==\"True\"\n",
    "    aggr = a[4]\n",
    "    m = None\n",
    "\n",
    "    with open('models/%s' % filename, 'rb') as file:  \n",
    "        m = pickle.load(file)\n",
    "    def objective_density(X):\n",
    "        res = np.log(m.predict(X) - 1000) - c*np.sum(np.log(1+X[:,X.shape[1]//2:]),axis=1)\n",
    "        res[np.isnan(res)] = -np.inf\n",
    "        return res\n",
    "    glowworms = int(50*(2*dims))\n",
    "    radius = (1-0.5**(1/50))**(1/(2*dims))\n",
    "    gw = GlowWorm(objective_density,dimensions=2*dims,log_trace=True,iter_max=250,glowworms=glowworms, r0=radius)\n",
    "    gw.optimize()\n",
    "    js = []\n",
    "    for i in range(0,gw.history.shape[1]-(2*dims),2*dims):\n",
    "        x_at_i = gw.history[:,i:i+2*dims]\n",
    "        j_vals = objective_density(x_at_i)\n",
    "        j_vals = j_vals[j_vals!=-np.inf]\n",
    "        js.append(np.mean(j_vals))\n",
    "\n",
    "    convergence_rate.append([dims,multi,js, glowworms, radius])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "convergence_rate_df = pd.DataFrame(convergence_rate, columns=['Dimensions', 'Regions','Js','Glowworms','Radius'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "convergence_rate_df['Js_n']= convergence_rate_df['Js'].apply(np.array)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "convergence_rate_df.to_csv('output/convergence_rate.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "convergence_rate_df['Js_n'][2].shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "convergence_rate_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "fig,axes = plt.subplots(ncols=5, nrows=2,sharex=True ,figsize=(12,5), )\n",
    "reg = [True, False]\n",
    "dimensions = [1,2,3,4,5]\n",
    "for i in range(2):\n",
    "    for j in range(5):\n",
    "        d = convergence_rate_df[(convergence_rate_df['Regions']==reg[i]) & (convergence_rate_df['Dimensions']==dimensions[j])]\n",
    "        axes[i][j].plot(range(250),d['Js_n'].values[0])\n",
    "        axes[i][j].set_title(\"k={0}\\nDimensions={1}\".format(3 if reg[i] else 1, (j+1)*2), fontsize=18)\n",
    "        axes[i][j].grid(color='k', linestyle='dashed', linewidth=1, alpha=0.3)\n",
    "        axes[i][j].tick_params(axis='y',labelsize=14)\n",
    "        if i==1:\n",
    "            axes[i][j].set_xlabel(\"Iterations\", fontsize=22)\n",
    "            axes[i][j].tick_params(axis='x',labelsize=18)\n",
    "            \n",
    "axes[0][0].set_ylabel(r'E$[\\mathcal{J}]$', fontsize=22 )\n",
    "axes[1][0].set_ylabel(r'E$[\\mathcal{J}]$', fontsize=22)\n",
    "plt.tight_layout()\n",
    "plt.savefig('output/sensitivity/glowworms-convergence.pdf',format='pdf', dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def return_convergence_point(X):\n",
    "    L = np.max(X)\n",
    "    p_point = np.argmax((X[1:]-X[:-1]<0.05) & (np.abs(X[1:]-L)<=0.05))\n",
    "    return p_point"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#average number of iterations needed to reach convergence\n",
    "convergence_rate_df['Js_n'].apply(lambda x : return_convergence_point(x)).mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.plot(convergence_rate_df['Js_n'][0])\n",
    "plt.plot(p_point, convergence_rate_df['Js_n'][0][p_point], 'xr')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Rate of convergence sublinearly\n",
    "L = np.max(convergence_rate_df['Js_n'][0])+1\n",
    "plt.plot(np.abs(convergence_rate_df['Js_n'][0][1:]-L)/ np.abs(convergence_rate_df['Js_n'][0][:-1]-L))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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