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residual.ipynb 307 KiB
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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import exp_utils\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "pd.set_option('display.max_columns', None)\n",
    "pd.set_option('display.max_colwidth', None)\n",
    "pd.set_option('display.max_rows', 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_702541/3598242153.py:2: DtypeWarning: Columns (11,12,13) have mixed types. Specify dtype option on import or set low_memory=False.\n",
      "  data = pd.read_csv(concat_file)\n"
     ]
    }
   ],
   "source": [
    "concat_file = \"data/all.csv\"\n",
    "data = pd.read_csv(concat_file)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "chosen_powerset_columns = [\n",
    "    'forward_powerset_complement_size',\n",
    "    'reverse_powerset_complement_size',\n",
    "    'forward_powerset_DFA_min_complement_size',\n",
    "    'reverse_powerset_DFA_min_complement_size'\n",
    "]\n",
    "\n",
    "residual_columns = [\n",
    "    'forward_residual_complement_size', \n",
    "    'reverse_residual_complement_size'\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/notme/bench_aligater/exp_utils.py:181: FutureWarning: The behavior of DataFrame.idxmin with all-NA values, or any-NA and skipna=False, is deprecated. In a future version this will raise ValueError\n",
      "  df[origin_col_name] = df[columns_filtered].idxmin(axis=1, skipna=True)\n"
     ]
    }
   ],
   "source": [
    "data[\"best_min_powerset\"] = data[['forward_powerset_DFA_min_complement_size', 'reverse_powerset_DFA_min_complement_size']].min(axis=1)\n",
    "data[\"best_residual\"] = data[residual_columns].min(axis=1)\n",
    "exp_utils.min_from_columns(data, chosen_powerset_columns + residual_columns, \"best_powerset_residual\", \"best_powerset_residual_method\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/notme/bench_aligater/.venv/lib/python3.12/site-packages/mpl_scatter_density/generic_density_artist.py:77: RuntimeWarning: All-NaN slice encountered\n",
      "  vmin = self._density_vmin(array)\n",
      "/home/notme/bench_aligater/.venv/lib/python3.12/site-packages/mpl_scatter_density/generic_density_artist.py:82: RuntimeWarning: All-NaN slice encountered\n",
      "  vmax = self._density_vmax(array)\n",
      "/home/notme/bench_aligater/.venv/lib/python3.12/site-packages/pandas/core/arraylike.py:399: RuntimeWarning: divide by zero encountered in log10\n",
      "  result = getattr(ufunc, method)(*inputs, **kwargs)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "exp_utils.graph_basic(data, \"forward_powerset_DFA_min_complement_size\", \"best_residual\",\n",
    "                      \"forward powerset + min\", \"best of residual\", logscale=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/notme/bench_aligater/.venv/lib/python3.12/site-packages/mpl_scatter_density/generic_density_artist.py:77: RuntimeWarning: All-NaN slice encountered\n",
      "  vmin = self._density_vmin(array)\n",
      "/home/notme/bench_aligater/.venv/lib/python3.12/site-packages/mpl_scatter_density/generic_density_artist.py:82: RuntimeWarning: All-NaN slice encountered\n",
      "  vmax = self._density_vmax(array)\n",
      "/home/notme/bench_aligater/.venv/lib/python3.12/site-packages/pandas/core/arraylike.py:399: RuntimeWarning: divide by zero encountered in log10\n",
      "  result = getattr(ufunc, method)(*inputs, **kwargs)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "exp_utils.graph_basic(data, \"reverse_powerset_DFA_min_complement_size\", \"best_residual\",\n",
    "                      \"reverse powerset + min\", \"best of residual\", logscale=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/notme/bench_aligater/.venv/lib/python3.12/site-packages/mpl_scatter_density/generic_density_artist.py:77: RuntimeWarning: All-NaN slice encountered\n",
      "  vmin = self._density_vmin(array)\n",
      "/home/notme/bench_aligater/.venv/lib/python3.12/site-packages/mpl_scatter_density/generic_density_artist.py:82: RuntimeWarning: All-NaN slice encountered\n",
      "  vmax = self._density_vmax(array)\n",
      "/home/notme/bench_aligater/.venv/lib/python3.12/site-packages/pandas/core/arraylike.py:399: RuntimeWarning: divide by zero encountered in log10\n",
      "  result = getattr(ufunc, method)(*inputs, **kwargs)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "exp_utils.graph_basic(data, \"forward_powerset_DFA_min_complement_size\", \"best_powerset_residual\",\n",
    "                      \"forward powerset + min\", \"best of powerset + min /residual\", logscale=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/notme/bench_aligater/.venv/lib/python3.12/site-packages/mpl_scatter_density/generic_density_artist.py:77: RuntimeWarning: All-NaN slice encountered\n",
      "  vmin = self._density_vmin(array)\n",
      "/home/notme/bench_aligater/.venv/lib/python3.12/site-packages/mpl_scatter_density/generic_density_artist.py:82: RuntimeWarning: All-NaN slice encountered\n",
      "  vmax = self._density_vmax(array)\n",
      "/home/notme/bench_aligater/.venv/lib/python3.12/site-packages/pandas/core/arraylike.py:399: RuntimeWarning: divide by zero encountered in log10\n",
      "  result = getattr(ufunc, method)(*inputs, **kwargs)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "exp_utils.graph_basic(data, \"forward_powerset_DFA_min_complement_size\", \"best_min_powerset\",\n",
    "                      \"forward powerset + min\", \"best forward/reverse powerset + min\", logscale=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/notme/bench_aligater/.venv/lib/python3.12/site-packages/mpl_scatter_density/generic_density_artist.py:77: RuntimeWarning: All-NaN slice encountered\n",
      "  vmin = self._density_vmin(array)\n",
      "/home/notme/bench_aligater/.venv/lib/python3.12/site-packages/mpl_scatter_density/generic_density_artist.py:82: RuntimeWarning: All-NaN slice encountered\n",
      "  vmax = self._density_vmax(array)\n",
      "/home/notme/bench_aligater/.venv/lib/python3.12/site-packages/pandas/core/arraylike.py:399: RuntimeWarning: divide by zero encountered in log10\n",
      "  result = getattr(ufunc, method)(*inputs, **kwargs)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "exp_utils.graph_basic(data, \"forward_residual_complement_size\", \"reverse_residual_complement_size\",\n",
    "                      \"forward residual\", \"reverse residual\", logscale=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4758"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(data[data[\"best_powerset_residual\"] + 1 < data[\"forward_powerset_DFA_min_complement_size\"]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1678"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(data[data[\"best_min_powerset\"] + 1 < data[\"forward_powerset_DFA_min_complement_size\"]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/notme/bench_aligater/.venv/lib/python3.12/site-packages/mpl_scatter_density/generic_density_artist.py:77: RuntimeWarning: All-NaN slice encountered\n",
      "  vmin = self._density_vmin(array)\n",
      "/home/notme/bench_aligater/.venv/lib/python3.12/site-packages/mpl_scatter_density/generic_density_artist.py:82: RuntimeWarning: All-NaN slice encountered\n",
      "  vmax = self._density_vmax(array)\n",
      "/home/notme/bench_aligater/.venv/lib/python3.12/site-packages/pandas/core/arraylike.py:399: RuntimeWarning: divide by zero encountered in log10\n",
      "  result = getattr(ufunc, method)(*inputs, **kwargs)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "exp_utils.graph_basic(data, \"best_min_powerset\", \"best_residual\",\n",
    "                      \"best powerset + min\", \"best residual\", logscale=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>run set_nfa-bench/benchmarks/</th>\n",
       "      <th>forward_powerset_DFA_min_complement_size</th>\n",
       "      <th>reverse_powerset_DFA_min_complement_size</th>\n",
       "      <th>forward_residual_complement_size</th>\n",
       "      <th>reverse_residual_complement_size</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1635</th>\n",
       "      <td>regexps_distinct/Snort_together_aut_1006.mata</td>\n",
       "      <td>NaN</td>\n",
       "      <td>132.0</td>\n",
       "      <td>708.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1641</th>\n",
       "      <td>regexps_distinct/Snort_together_aut_1012.mata</td>\n",
       "      <td>NaN</td>\n",
       "      <td>132.0</td>\n",
       "      <td>708.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2109</th>\n",
       "      <td>regexps_distinct/Snort_together_aut_535.mata</td>\n",
       "      <td>NaN</td>\n",
       "      <td>619.0</td>\n",
       "      <td>1797.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2121</th>\n",
       "      <td>regexps_distinct/Snort_together_aut_60.mata</td>\n",
       "      <td>NaN</td>\n",
       "      <td>112.0</td>\n",
       "      <td>401.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2168</th>\n",
       "      <td>regexps_distinct/Snort_together_aut_929.mata</td>\n",
       "      <td>NaN</td>\n",
       "      <td>288.0</td>\n",
       "      <td>1800.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2169</th>\n",
       "      <td>regexps_distinct/Snort_together_aut_930.mata</td>\n",
       "      <td>NaN</td>\n",
       "      <td>288.0</td>\n",
       "      <td>1800.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2170</th>\n",
       "      <td>regexps_distinct/Snort_together_aut_931.mata</td>\n",
       "      <td>NaN</td>\n",
       "      <td>156.0</td>\n",
       "      <td>1275.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2172</th>\n",
       "      <td>regexps_distinct/Snort_together_aut_933.mata</td>\n",
       "      <td>NaN</td>\n",
       "      <td>148.0</td>\n",
       "      <td>1090.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2179</th>\n",
       "      <td>regexps_distinct/Snort_together_aut_942.mata</td>\n",
       "      <td>NaN</td>\n",
       "      <td>132.0</td>\n",
       "      <td>708.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2190</th>\n",
       "      <td>regexps_distinct/Snort_together_aut_959.mata</td>\n",
       "      <td>NaN</td>\n",
       "      <td>136.0</td>\n",
       "      <td>805.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2193</th>\n",
       "      <td>regexps_distinct/Snort_together_aut_961.mata</td>\n",
       "      <td>NaN</td>\n",
       "      <td>284.0</td>\n",
       "      <td>1546.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2202</th>\n",
       "      <td>regexps_distinct/Snort_together_aut_985.mata</td>\n",
       "      <td>NaN</td>\n",
       "      <td>124.0</td>\n",
       "      <td>511.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2204</th>\n",
       "      <td>regexps_distinct/Snort_together_aut_988.mata</td>\n",
       "      <td>NaN</td>\n",
       "      <td>128.0</td>\n",
       "      <td>610.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2208</th>\n",
       "      <td>regexps_distinct/Snort_together_aut_992.mata</td>\n",
       "      <td>NaN</td>\n",
       "      <td>124.0</td>\n",
       "      <td>511.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2424</th>\n",
       "      <td>automata_inclusion/false-Bakery5PUnrEnc-Rev-FbOneOne-Nondet-Partial-A-0-lhs.mata</td>\n",
       "      <td>1027.0</td>\n",
       "      <td>3277.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1221.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2468</th>\n",
       "      <td>automata_inclusion/false-IBakery5PUnrEnc-Rev-FbOneOne-Nondet-Partiali-B-0-lhs.mata</td>\n",
       "      <td>3277.0</td>\n",
       "      <td>1027.0</td>\n",
       "      <td>1221.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2470</th>\n",
       "      <td>automata_inclusion/false-IBakery5PUnrEnc-Rev-FbOneOne-Nondet-Partiali-B-2-lhs.mata</td>\n",
       "      <td>3277.0</td>\n",
       "      <td>1027.0</td>\n",
       "      <td>1221.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2897</th>\n",
       "      <td>regexps_distinct/home-brewed_http-attacks_aut_47.mata</td>\n",
       "      <td>195.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>382.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2947</th>\n",
       "      <td>regexps_distinct/home-brewed_http-attacks_aut_95.mata</td>\n",
       "      <td>NaN</td>\n",
       "      <td>122.0</td>\n",
       "      <td>751.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5134</th>\n",
       "      <td>regexps_union/netbios.rules_netbios.rules.mata</td>\n",
       "      <td>17.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>26.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5219</th>\n",
       "      <td>automata_inclusion/true-IBakery5PUnrEnc-Rev-FbOneOne-Nondet-Partial-A-0-rhs.mata</td>\n",
       "      <td>3277.0</td>\n",
       "      <td>1027.0</td>\n",
       "      <td>1221.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5221</th>\n",
       "      <td>automata_inclusion/true-IBakery5PUnrEnc-Rev-FbOneOne-Nondet-Partial-A-2-rhs.mata</td>\n",
       "      <td>3277.0</td>\n",
       "      <td>1027.0</td>\n",
       "      <td>1221.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5222</th>\n",
       "      <td>automata_inclusion/true-IBakery5PUnrEnc-Rev-FbOneOne-Nondet-Partiali-B-1-lhs.mata</td>\n",
       "      <td>3277.0</td>\n",
       "      <td>1027.0</td>\n",
       "      <td>1221.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5223</th>\n",
       "      <td>automata_inclusion/true-IBakery5PUnrEnc-Rev-FbOneOne-Nondet-Partiali-B-1-rhs.mata</td>\n",
       "      <td>3277.0</td>\n",
       "      <td>1027.0</td>\n",
       "      <td>1221.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9164</th>\n",
       "      <td>regexps_distinct/yang2010_http-2612_aut_739.mata</td>\n",
       "      <td>5472.0</td>\n",
       "      <td>1660.0</td>\n",
       "      <td>2019.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9357</th>\n",
       "      <td>regexps_distinct/yang2010_http-2612_aut_915.mata</td>\n",
       "      <td>NaN</td>\n",
       "      <td>67.0</td>\n",
       "      <td>197.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                           run set_nfa-bench/benchmarks/  \\\n",
       "1635                                       regexps_distinct/Snort_together_aut_1006.mata   \n",
       "1641                                       regexps_distinct/Snort_together_aut_1012.mata   \n",
       "2109                                        regexps_distinct/Snort_together_aut_535.mata   \n",
       "2121                                         regexps_distinct/Snort_together_aut_60.mata   \n",
       "2168                                        regexps_distinct/Snort_together_aut_929.mata   \n",
       "2169                                        regexps_distinct/Snort_together_aut_930.mata   \n",
       "2170                                        regexps_distinct/Snort_together_aut_931.mata   \n",
       "2172                                        regexps_distinct/Snort_together_aut_933.mata   \n",
       "2179                                        regexps_distinct/Snort_together_aut_942.mata   \n",
       "2190                                        regexps_distinct/Snort_together_aut_959.mata   \n",
       "2193                                        regexps_distinct/Snort_together_aut_961.mata   \n",
       "2202                                        regexps_distinct/Snort_together_aut_985.mata   \n",
       "2204                                        regexps_distinct/Snort_together_aut_988.mata   \n",
       "2208                                        regexps_distinct/Snort_together_aut_992.mata   \n",
       "2424    automata_inclusion/false-Bakery5PUnrEnc-Rev-FbOneOne-Nondet-Partial-A-0-lhs.mata   \n",
       "2468  automata_inclusion/false-IBakery5PUnrEnc-Rev-FbOneOne-Nondet-Partiali-B-0-lhs.mata   \n",
       "2470  automata_inclusion/false-IBakery5PUnrEnc-Rev-FbOneOne-Nondet-Partiali-B-2-lhs.mata   \n",
       "2897                               regexps_distinct/home-brewed_http-attacks_aut_47.mata   \n",
       "2947                               regexps_distinct/home-brewed_http-attacks_aut_95.mata   \n",
       "5134                                      regexps_union/netbios.rules_netbios.rules.mata   \n",
       "5219    automata_inclusion/true-IBakery5PUnrEnc-Rev-FbOneOne-Nondet-Partial-A-0-rhs.mata   \n",
       "5221    automata_inclusion/true-IBakery5PUnrEnc-Rev-FbOneOne-Nondet-Partial-A-2-rhs.mata   \n",
       "5222   automata_inclusion/true-IBakery5PUnrEnc-Rev-FbOneOne-Nondet-Partiali-B-1-lhs.mata   \n",
       "5223   automata_inclusion/true-IBakery5PUnrEnc-Rev-FbOneOne-Nondet-Partiali-B-1-rhs.mata   \n",
       "9164                                    regexps_distinct/yang2010_http-2612_aut_739.mata   \n",
       "9357                                    regexps_distinct/yang2010_http-2612_aut_915.mata   \n",
       "\n",
       "      forward_powerset_DFA_min_complement_size  \\\n",
       "1635                                       NaN   \n",
       "1641                                       NaN   \n",
       "2109                                       NaN   \n",
       "2121                                       NaN   \n",
       "2168                                       NaN   \n",
       "2169                                       NaN   \n",
       "2170                                       NaN   \n",
       "2172                                       NaN   \n",
       "2179                                       NaN   \n",
       "2190                                       NaN   \n",
       "2193                                       NaN   \n",
       "2202                                       NaN   \n",
       "2204                                       NaN   \n",
       "2208                                       NaN   \n",
       "2424                                    1027.0   \n",
       "2468                                    3277.0   \n",
       "2470                                    3277.0   \n",
       "2897                                     195.0   \n",
       "2947                                       NaN   \n",
       "5134                                      17.0   \n",
       "5219                                    3277.0   \n",
       "5221                                    3277.0   \n",
       "5222                                    3277.0   \n",
       "5223                                    3277.0   \n",
       "9164                                    5472.0   \n",
       "9357                                       NaN   \n",
       "\n",
       "      reverse_powerset_DFA_min_complement_size  \\\n",
       "1635                                     132.0   \n",
       "1641                                     132.0   \n",
       "2109                                     619.0   \n",
       "2121                                     112.0   \n",
       "2168                                     288.0   \n",
       "2169                                     288.0   \n",
       "2170                                     156.0   \n",
       "2172                                     148.0   \n",
       "2179                                     132.0   \n",
       "2190                                     136.0   \n",
       "2193                                     284.0   \n",
       "2202                                     124.0   \n",
       "2204                                     128.0   \n",
       "2208                                     124.0   \n",
       "2424                                    3277.0   \n",
       "2468                                    1027.0   \n",
       "2470                                    1027.0   \n",
       "2897                                       NaN   \n",
       "2947                                     122.0   \n",
       "5134                                       NaN   \n",
       "5219                                    1027.0   \n",
       "5221                                    1027.0   \n",
       "5222                                    1027.0   \n",
       "5223                                    1027.0   \n",
       "9164                                    1660.0   \n",
       "9357                                      67.0   \n",
       "\n",
       "      forward_residual_complement_size  reverse_residual_complement_size  \n",
       "1635                             708.0                               NaN  \n",
       "1641                             708.0                               NaN  \n",
       "2109                            1797.0                               NaN  \n",
       "2121                             401.0                               NaN  \n",
       "2168                            1800.0                               NaN  \n",
       "2169                            1800.0                               NaN  \n",
       "2170                            1275.0                               NaN  \n",
       "2172                            1090.0                               NaN  \n",
       "2179                             708.0                               NaN  \n",
       "2190                             805.0                               NaN  \n",
       "2193                            1546.0                               NaN  \n",
       "2202                             511.0                               NaN  \n",
       "2204                             610.0                               NaN  \n",
       "2208                             511.0                               NaN  \n",
       "2424                               NaN                            1221.0  \n",
       "2468                            1221.0                               NaN  \n",
       "2470                            1221.0                               NaN  \n",
       "2897                               NaN                             382.0  \n",
       "2947                             751.0                               NaN  \n",
       "5134                               NaN                              26.0  \n",
       "5219                            1221.0                               NaN  \n",
       "5221                            1221.0                               NaN  \n",
       "5222                            1221.0                               NaN  \n",
       "5223                            1221.0                               NaN  \n",
       "9164                            2019.0                               NaN  \n",
       "9357                             197.0                               NaN  "
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[data[\"best_residual\"] > data[\"best_min_powerset\"] + 5][[\n",
    "    \"run set_nfa-bench/benchmarks/\", \"forward_powerset_DFA_min_complement_size\", \"reverse_powerset_DFA_min_complement_size\",\n",
    "    \"forward_residual_complement_size\",\"reverse_residual_complement_size\"]]"
   ]
  }
 ],
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