notebooks/g2sat.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "\n",
    "import sys\n",
    "if \"../src\" not in sys.path:\n",
    "    sys.path.append(\"../src\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "from datetime import datetime\n",
    "from generation.generators import SATGraph, G2SATPolicy, train_reinforce\n",
    "from generation.envs import G2SATEnv\n",
    "from gnn_models.sage import SAGE\n",
    "from solvers.pysat import PySAT\n",
    "import numpy as np\n",
    "from torch import optim\n",
    "from torch.utils.tensorboard.writer import SummaryWriter\n",
    "import torch\n",
    "import random\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Playing with graphs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "g = SATGraph.from_template(SATGraph.sample_template(3, 9))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Clauses: [[1, 2], [2, -1], [-1], [-2], [-2]]\n",
      "Valid merges: []\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g.plot_nx()\n",
    "print(\"Clauses:\", g.to_clauses())\n",
    "print(\"Valid merges:\", g.get_valid_merges())\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Clauses: [[1], [1, 2], [2], [2], [3], [-1], [-2], [-3]]\n",
      "Valid merges: [(7, 10), (7, 13), (6, 8), (6, 9), (6, 10), (6, 12), (6, 13), (8, 10), (8, 11), (8, 13), (9, 10), (9, 11), (9, 13), (10, 11), (10, 12), (11, 12), (11, 13), (12, 13)]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g.merge(*random.choice(g.get_valid_merges()))\n",
    "g.plot_nx()\n",
    "print(\"Clauses:\", g.to_clauses())\n",
    "print(\"Valid merges:\", g.get_valid_merges())\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Clauses: [[1, 2, -3], [1, 2], [2, 3, -1], [-2]]\n",
      "Valid merges: []\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "while not g.is_3sat():\n",
    "    valid = g.get_valid_merges()\n",
    "    if not valid:\n",
    "        break\n",
    "    g.merge(*random.choice(valid))\n",
    "\n",
    "g.plot_nx()\n",
    "print(\"Clauses:\", g.to_clauses())\n",
    "print(\"Valid merges:\", g.get_valid_merges())\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'sample_time': 0.00034466900979168713, 'step_time': 0.0006170470005599782}"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "env = G2SATEnv(6, 4, PySAT(\"minisat22\"), \"decisions\")\n",
    "obs, _ = env.reset()\n",
    "\n",
    "terminated = False\n",
    "while not terminated:\n",
    "    obs, _, terminated, _, info = env.step(random.choice(obs[\"valid_actions\"]))\n",
    "env.render()\n",
    "info\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## RL"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "env = G2SATEnv(10, 42, PySAT(\"minisat22\"), \"time_cpu\", compress_observations=True, intermediate_rewards=False)\n",
    "model = SAGE(\n",
    "    input_dim=1 if env.compress_observations else 3,\n",
    "    feature_dim=32,\n",
    "    hidden_dim=32,\n",
    "    output_dim=32,\n",
    "    num_embeddings=3 if env.compress_observations else None,\n",
    "    num_layers=3,\n",
    ")#.to('cuda')\n",
    "policy = G2SATPolicy(env, model, random_state=42)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "({'graph': GraphInstance(nodes=array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2,\n",
       "         2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "         2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "         2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "         2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "         2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "         2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]), edges=None, edge_links=array([[  0,   1,   2,   3,   4,   5,   6,   7,   8,   9,   0,   0,   0,\n",
       "            0,   0,   0,   0,   1,   1,   2,   2,   2,   2,   2,   3,   3,\n",
       "            4,   4,   4,   4,   4,   4,   4,   4,   4,   5,   5,   5,   5,\n",
       "            5,   5,   5,   5,   5,   5,   5,   5,   6,   6,   6,   6,   6,\n",
       "            6,   6,   6,   6,   7,   7,   7,   7,   8,   8,   8,   8,   8,\n",
       "            8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   9,\n",
       "            9,   9,   9,  10,  11,  11,  11,  11,  11,  12,  12,  12,  12,\n",
       "           12,  12,  12,  12,  12,  12,  12,  13,  13,  13,  13,  13,  13,\n",
       "           13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  14,  15,\n",
       "           15,  16,  16,  16,  16,  16,  16,  16,  17,  17,  17,  17,  17,\n",
       "           18,  18,  19,  19,  19,  19,  10,  11,  12,  13,  14,  15,  16,\n",
       "           17,  18,  19,  20,  21,  22,  23,  24,  25,  26,  27,  28,  29,\n",
       "           30,  31,  32,  33,  34,  35,  36,  37,  38,  39,  40,  41,  42,\n",
       "           43,  44,  45,  46,  47,  48,  49,  50,  51,  52,  53,  54,  55,\n",
       "           56,  57,  58,  59,  60,  61,  62,  63,  64,  65,  66,  67,  68,\n",
       "           69,  70,  71,  72,  73,  74,  75,  76,  77,  78,  79,  80,  81,\n",
       "           82,  83,  84,  85,  86,  87,  88,  89,  90,  91,  92,  93,  94,\n",
       "           95,  96,  97,  98,  99, 100, 101, 102, 103, 104, 105, 106, 107,\n",
       "          108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120,\n",
       "          121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133,\n",
       "          134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145],\n",
       "         [ 10,  11,  12,  13,  14,  15,  16,  17,  18,  19,  20,  21,  22,\n",
       "           23,  24,  25,  26,  27,  28,  29,  30,  31,  32,  33,  34,  35,\n",
       "           36,  37,  38,  39,  40,  41,  42,  43,  44,  45,  46,  47,  48,\n",
       "           49,  50,  51,  52,  53,  54,  55,  56,  57,  58,  59,  60,  61,\n",
       "           62,  63,  64,  65,  66,  67,  68,  69,  70,  71,  72,  73,  74,\n",
       "           75,  76,  77,  78,  79,  80,  81,  82,  83,  84,  85,  86,  87,\n",
       "           88,  89,  90,  91,  92,  93,  94,  95,  96,  97,  98,  99, 100,\n",
       "          101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113,\n",
       "          114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126,\n",
       "          127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139,\n",
       "          140, 141, 142, 143, 144, 145,   0,   1,   2,   3,   4,   5,   6,\n",
       "            7,   8,   9,   0,   0,   0,   0,   0,   0,   0,   1,   1,   2,\n",
       "            2,   2,   2,   2,   3,   3,   4,   4,   4,   4,   4,   4,   4,\n",
       "            4,   4,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,\n",
       "            5,   6,   6,   6,   6,   6,   6,   6,   6,   6,   7,   7,   7,\n",
       "            7,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,\n",
       "            8,   8,   8,   8,   8,   9,   9,   9,   9,  10,  11,  11,  11,\n",
       "           11,  11,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,\n",
       "           13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,\n",
       "           13,  13,  13,  13,  14,  15,  15,  16,  16,  16,  16,  16,  16,\n",
       "           16,  17,  17,  17,  17,  17,  18,  18,  19,  19,  19,  19]])),\n",
       "  'valid_actions': [],\n",
       "  'total_valid_actions': 0},\n",
       " {'template': array([ 7,  2,  5,  2,  9, 12,  9,  4, 17,  4,  1,  5, 11, 17,  1,  2,  7,\n",
       "          5,  2,  4]),\n",
       "  'timing': {'sample_pairs': 0.00021927198395133018}})"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "env.reset()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "33d884d2a5a04103addb9f1d56369bc8",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Training:   0%|          | 0/5 [00:00<?, ?episodes/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "history = train_reinforce(\n",
    "    policy,\n",
    "    optimizer=optim.AdamW(model.parameters(), lr=3e-4),\n",
    "    return_trajectory=True,\n",
    "    num_episodes=5,\n",
    ")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'is_3sat': False,\n",
       " 'metrics': {},\n",
       " 'timing': {'step': 0.0006133720016805455,\n",
       "  'sample_pairs': 0.00039473999640904367,\n",
       "  'predict': 0.006760022006346844},\n",
       " 'reward': 0,\n",
       " 'log_prob': -9.306718826293945,\n",
       " 'action': (26, 78)}"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "history[0][\"step_info\"][1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "  'return/shaped': 1.0185625928169337e-05,\n",
       "  'return/original': 1.0185625928169343e-05,\n",
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       "    'reward': 0,\n",
       "    'log_prob': -6.154480934143066,\n",
       "    'action': (50, 72)},\n",
       "   {'is_3sat': False,\n",
       "    'metrics': {},\n",
       "    'timing': {'step': 0.0002820009976858273,\n",
       "     'sample_pairs': 0.00015229699783958495,\n",
       "     'predict': 0.0011387720005586743},\n",
       "    'reward': 0,\n",
       "    'log_prob': -6.051417350769043,\n",
       "    'action': (74, 78)},\n",
       "   {'is_3sat': False,\n",
       "    'metrics': {},\n",
       "    'timing': {'step': 0.00025328699848614633,\n",
       "     'sample_pairs': 0.00014103399007581174,\n",
       "     'predict': 0.0010542570089455694},\n",
       "    'reward': 0,\n",
       "    'log_prob': -5.989001274108887,\n",
       "    'action': (32, 66)},\n",
       "   {'is_3sat': False,\n",
       "    'metrics': {},\n",
       "    'timing': {'step': 0.0002523769944673404,\n",
       "     'sample_pairs': 0.00013942099758423865,\n",
       "     'predict': 0.0010437110031489283},\n",
       "    'reward': 0,\n",
       "    'log_prob': -5.798236846923828,\n",
       "    'action': (67, 70)},\n",
       "   {'is_3sat': False,\n",
       "    'metrics': {},\n",
       "    'timing': {'step': 0.00046881299931555986,\n",
       "     'sample_pairs': 0.00027418500394560397,\n",
       "     'predict': 0.0011763500078814104},\n",
       "    'reward': 0,\n",
       "    'log_prob': -5.653645038604736,\n",
       "    'action': (43, 55)},\n",
       "   {'is_3sat': False,\n",
       "    'metrics': {},\n",
       "    'timing': {'step': 0.00036775998887605965,\n",
       "     'sample_pairs': 0.00020569599291775376,\n",
       "     'predict': 0.0014660620072390884},\n",
       "    'reward': 0,\n",
       "    'log_prob': -5.512269973754883,\n",
       "    'action': (23, 57)},\n",
       "   {'is_3sat': False,\n",
       "    'metrics': {},\n",
       "    'timing': {'step': 0.00026182799774687737,\n",
       "     'sample_pairs': 0.00014390100841410458,\n",
       "     'predict': 0.0011269240058027208},\n",
       "    'reward': 0,\n",
       "    'log_prob': -5.372745990753174,\n",
       "    'action': (57, 63)},\n",
       "   {'is_3sat': False,\n",
       "    'metrics': {},\n",
       "    'timing': {'step': 0.00024891700013540685,\n",
       "     'sample_pairs': 0.00013653199130203575,\n",
       "     'predict': 0.0010508670093258843},\n",
       "    'reward': 0,\n",
       "    'log_prob': -5.2296223640441895,\n",
       "    'action': (54, 61)},\n",
       "   {'is_3sat': False,\n",
       "    'metrics': {},\n",
       "    'timing': {'step': 0.00025028499658219516,\n",
       "     'sample_pairs': 0.00013729398779105395,\n",
       "     'predict': 0.001059396003256552},\n",
       "    'reward': 0,\n",
       "    'log_prob': -5.036349773406982,\n",
       "    'action': (51, 59)},\n",
       "   {'is_3sat': False,\n",
       "    'metrics': {},\n",
       "    'timing': {'step': 0.0002973469963762909,\n",
       "     'sample_pairs': 0.00014126300811767578,\n",
       "     'predict': 0.0010683319997042418},\n",
       "    'reward': 0,\n",
       "    'log_prob': -4.757224082946777,\n",
       "    'action': (27, 69)},\n",
       "   {'is_3sat': False,\n",
       "    'metrics': {},\n",
       "    'timing': {'step': 0.0002978650009026751,\n",
       "     'sample_pairs': 0.00016331099322997034,\n",
       "     'predict': 0.0014469150046352297},\n",
       "    'reward': 0,\n",
       "    'log_prob': -4.533847332000732,\n",
       "    'action': (37, 52)},\n",
       "   {'is_3sat': False,\n",
       "    'metrics': {},\n",
       "    'timing': {'step': 0.00027913000667467713,\n",
       "     'sample_pairs': 0.00014444701082538813,\n",
       "     'predict': 0.0011507019953569397},\n",
       "    'reward': 0,\n",
       "    'log_prob': -4.299249649047852,\n",
       "    'action': (59, 67)},\n",
       "   {'is_3sat': False,\n",
       "    'metrics': {},\n",
       "    'timing': {'step': 0.0002477249945513904,\n",
       "     'sample_pairs': 0.0001353330007987097,\n",
       "     'predict': 0.0010565260017756373},\n",
       "    'reward': 0,\n",
       "    'log_prob': -3.9761879444122314,\n",
       "    'action': (29, 54)},\n",
       "   {'is_3sat': False,\n",
       "    'metrics': {},\n",
       "    'timing': {'step': 0.00024812800984364003,\n",
       "     'sample_pairs': 0.00013410999963525683,\n",
       "     'predict': 0.0011014119954779744},\n",
       "    'reward': 0,\n",
       "    'log_prob': -3.670016050338745,\n",
       "    'action': (24, 54)},\n",
       "   {'is_3sat': False,\n",
       "    'metrics': {},\n",
       "    'timing': {'step': 0.00023976100783329457,\n",
       "     'sample_pairs': 0.00013006399967707694,\n",
       "     'predict': 0.0010314130049664527},\n",
       "    'reward': 0,\n",
       "    'log_prob': -3.254059076309204,\n",
       "    'action': (56, 63)},\n",
       "   {'is_3sat': False,\n",
       "    'metrics': {},\n",
       "    'timing': {'step': 0.0002863770059775561,\n",
       "     'sample_pairs': 0.00015588999667670578,\n",
       "     'predict': 0.0011768330004997551},\n",
       "    'reward': 0,\n",
       "    'log_prob': -2.717979669570923,\n",
       "    'action': (41, 48)},\n",
       "   {'is_3sat': False,\n",
       "    'metrics': {'feasible': False,\n",
       "     'time_cpu': 1.5760000000142327e-05,\n",
       "     'restarts': 0,\n",
       "     'conflicts': 0,\n",
       "     'decisions': 0,\n",
       "     'propagations': 2},\n",
       "    'timing': {'step': 0.0006665660039288923,\n",
       "     'sample_pairs': 0.00015583800268359482,\n",
       "     'predict': 0.0014741199993295595},\n",
       "    'reward': 1.5760000000142327e-05,\n",
       "    'log_prob': -1.8166685104370117,\n",
       "    'action': (28, 57)}]}]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "history"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pickle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "16.213607788085938"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(pickle.dumps(history)) / 5 / 1024**2 * 2000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "def flatten_dict(history, prefix=\"\", out=None):\n",
    "    if out is None:\n",
    "        out = {}\n",
    "    for k, v in history.items():\n",
    "        k = prefix + k\n",
    "        if isinstance(v, dict):\n",
    "            flatten_dict(v, prefix=k + \"/\", out=out)\n",
    "        else:\n",
    "            out[k] = v\n",
    "    return out\n",
    "\n",
    "\n",
    "history_flat = [flatten_dict(h) for h in history]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "pd.DataFrame([flatten_dict(x) for x in history[0]['step_info']]).to_csv('out.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8.416015625"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(pickle.dumps(history[0]['step_info'])) / 1024"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [],
   "source": [
    "# dir = '../runs/SAGE/2023-07-24T19:11:14'\n",
    "dir = '../runs/SAGE/2023-07-24T19:17:43'\n",
    "dir = '../runs/SAGE/2023-07-24T19:20:49'\n",
    "df_step = pd.read_csv(dir + '/history_step.csv')\n",
    "df_episode = pd.read_csv(dir + '/history_episode.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.894950088841142"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_episode[\"timing/logger\"].sum() #/ (df_step[\"timing/step\"].sum() + df_step[\"timing/predict\"].sum())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.005553004116917134"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_episode[\"timing/logger\"].sum() / (df_step[\"timing/step\"].sum() + df_step[\"timing/predict\"].sum())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0878591572600412"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_episode[\"timing/logger\"].sum() / (df_step[\"timing/step\"].sum() + df_step[\"timing/predict\"].sum())"
   ]
  }
 ],
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   "codemirror_mode": {
    "name": "ipython",
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