q_learning.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using TensorFlow backend.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "None\n"
     ]
    }
   ],
   "source": [
    "#!/usr/bin/env python\n",
    "\n",
    "from collections import deque\n",
    "import time\n",
    "import random\n",
    "import os\n",
    "import glob\n",
    "import re\n",
    "\n",
    "import numpy as np\n",
    "import gym\n",
    "import h5py\n",
    "\n",
    "import cv2\n",
    "from skimage.transform import rescale\n",
    "\n",
    "# ROS packages required\n",
    "import rospy\n",
    "import rospkg\n",
    "\n",
    "from keras.models import load_model\n",
    "\n",
    "from neuroracer_gym.tasks import neuroracer_discrete_task\n",
    "from neuroracer_gym_rl.scripts.utils import preprocess\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "class PolarRay:\n",
    "    def __init__(self, n_rays, min_angle, max_angle):\n",
    "        self.min_a = min_angle\n",
    "        self.max_a = max_angle\n",
    "        self.n = n_rays\n",
    "        self.l = np.abs(min_angle) + np.abs(max_angle)\n",
    "        self.lh = self.l/2\n",
    "        \n",
    "    def ray_to_rad(self, ray_idx):\n",
    "        return (self.lh-ray_idx*self.l/self.n)\n",
    "\n",
    "    def ray_to_degree(self, ray_idx):\n",
    "        return self.ray_to_rad(ray_idx)*180/np.pi\n",
    "\n",
    "    def degree_to_ray(self, degree):\n",
    "        return np.round((self.lh - degree*np.pi/180.0)*self.n/self.l).astype(np.int32)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/s0562411/.local/lib/python2.7/site-packages/skimage/transform/_warps.py:24: UserWarning: The default multichannel argument (None) is deprecated.  Please specify either True or False explicitly.  multichannel will default to False starting with release 0.16.\n",
      "  warn('The default multichannel argument (None) is deprecated.  Please '\n",
      "/home/s0562411/.local/lib/python2.7/site-packages/skimage/transform/_warps.py:105: UserWarning: The default mode, 'constant', will be changed to 'reflect' in skimage 0.15.\n",
      "  warn(\"The default mode, 'constant', will be changed to 'reflect' in \"\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fd12638e6d0>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pr = PolarRay(1081, -2.3561944902, 2.3561944902)\n",
    "\n",
    "\n",
    "fig = plt.figure(figsize=(12,8))\n",
    "plt1 = fig.add_subplot(1,2,1, polar=True)\n",
    "\n",
    "plt1.set_yticklabels([])\n",
    "plt1.set_ylim(0, 1)\n",
    "plt1.set_thetamin(pr.min_a*180/np.pi)\n",
    "plt1.set_thetamax(pr.max_a*180/np.pi)\n",
    "plt1.set_theta_offset(np.pi/2)\n",
    "plt1.set_xticks([pr.max_a, 90*np.pi/180, 0, -90*np.pi/180, pr.min_a])\n",
    "\n",
    "r = pr.ray_to_rad(180) \n",
    "rw = pr.ray_to_rad(185)-pr.ray_to_rad(175)\n",
    "\n",
    "c = pr.ray_to_rad(540)\n",
    "cw = pr.ray_to_rad(555)-pr.ray_to_rad(525)\n",
    "\n",
    "l = pr.ray_to_rad(900)\n",
    "lw = pr.ray_to_rad(905)-pr.ray_to_rad(895)\n",
    "\n",
    "plt1.bar([r],[1], width=rw)\n",
    "plt1.bar([c],[1], width=cw)\n",
    "plt1.bar([l],[1], width=lw)\n",
    "\n",
    "plt2 = fig.add_subplot(1,2,2)\n",
    "plt2.axis('off')\n",
    "plt2.imshow(rescale(plt.imread('assets/laser_range.png'), 1/5.0, anti_aliasing=True))\n",
    "# cv2.imread('./assets/laser_range.png').shape\n",
    "\n",
    "plt.figure(figsize=(12,8))\n",
    "plt.axis('off')\n",
    "plt.imshow(rescale(plt.imread('assets/car_perspective_polar.png'), 1/5.0, anti_aliasing=True))\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Reward function \n",
    "$$\n",
    "r= \\left\\{\n",
    "    \\begin{array}{ll}\n",
    "         d_m - 3 - \\left| d_l - d_r \\right| & \\text{if not terminal state} \\\\\n",
    "         -100 & \\text{otherwise}\n",
    "    \\end{array} \n",
    "   \\right.\n",
    "$$\n",
    "\n",
    "Where $d_m$ is the middle distance, $d_l$ is the left distance and $d_r$ is the rigth distance, and $d_m, d_l, d_r \\in [0, 10]$\n",
    "\n",
    "The function is implemented in our custom environment [neuroracer_discrete_task.py](neuroracer_gym/src/neuroracer_gym/tasks/neuroracer_discrete_task.py) and looks as follows:\n",
    "```python\n",
    "def _compute_reward(self, observations, done):\n",
    "    if not done:\n",
    "        rigth_distance, left_distance, middle_distance = self._get_distances()\n",
    "        reward = (middle_distance - 3)-np.abs(left_distance-rigth_distance)\n",
    "    else:\n",
    "        reward = -100\n",
    "    \n",
    "    #...\n",
    "    \n",
    "    return reward\n",
    "```\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Q-learning\n",
    "Q-function is derived from the Bellman equation and is:\n",
    "$$\n",
    "Q(s,a) = r(s,a) + \\gamma \\max_{a'}Q(s',a')\n",
    "$$\n",
    "\n",
    "```python\n",
    "def replay():\n",
    "    actions, states, states_next, rewards, terminal = buffer.sample()\n",
    "    not_terminal = np.invert(terminal)\n",
    "    prediction_next = model.predict(states_next[not_terminal])\n",
    "    rewards[not_terminal]+= gamma * next_pred\n",
    "    targets = model.predict(states)\n",
    "    targets[np.arange(len(actions)), actions] = rewards\n",
    "    model.fit(states, targets)\n",
    "    \n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Evaluation\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1080x360 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_results(results):\n",
    "    labels= np.array(results.keys())\n",
    "    results = np.array([[r['average'], r['min_steps'],  r['max_steps']] for r in results.values()])\n",
    "\n",
    "    # fig, ax = plt.subplots(figsize=(10,5))\n",
    "    # pos=np.arange(len(labels))\n",
    "    # width = 0.25\n",
    "    # for i in range(results.shape[1]):\n",
    "    # #     for i, (l, r) in list(enumerate(zip(labels, results[:, p]))):\n",
    "    #     plt.barh(pos+(i*0.25),results[:, i], height=width)\n",
    "\n",
    "    # ax.set_yticks(np.arange(len(labels)) + 1.5 * width)\n",
    "    # ax.set_yticklabels(labels)\n",
    "\n",
    "    # plt.legend(['Average', 'Min', 'Max'])\n",
    "    # ax.set_xlabel('Steps')\n",
    "    # plt.grid()\n",
    "    minmax = results[results[:,0].argsort()]\n",
    "    minmax_l = labels[results[:,0].argsort()]\n",
    "    plt.figure(figsize=(15,5))\n",
    "    mins = minmax[:, 0] - minmax[:, 1]\n",
    "    maxs = minmax[:, 2] -  minmax[:, 0]\n",
    "\n",
    "    plt.figure(figsize=(15,3))\n",
    "    plt.errorbar(minmax[:, 0], minmax_l, xerr=[mins, maxs], fmt='|k', lw=1, capsize=5, ecolor='b')\n",
    "    plt.xlabel('Steps')\n",
    "    plt.ylabel('Models')\n",
    "    plt.title('Min - Average - Max')\n",
    "    plt.grid()\n",
    "    plt.xlim(0,3800)\n",
    "    plt.xticks(np.arange(0, 3801, 200),rotation=0)\n",
    "\n",
    "    plt.figure(figsize=(15,3))\n",
    "    plt.barh(minmax_l, minmax[:,0])\n",
    "    # plt.xticks(rotation=30)\n",
    "    plt.xlim(0,minmax[:,0].max()+1)\n",
    "    plt.xticks( minmax[:,0],rotation=90)\n",
    "    plt.ylabel('Models')\n",
    "    plt.xlabel('Steps')\n",
    "    plt.title('Average')\n",
    "    plt.grid()\n",
    "\n",
    "results = {\n",
    "    'double_dqn_16f': {'average': 449.44, 'max_steps': 463, 'min_steps': 416},\n",
    "#     'double_dqn_16f_flip': {'average': 84.55, 'max_steps': 198, 'min_steps': 75},\n",
    "    'double_dqn_8f': {'average': 34.79, 'max_steps': 772, 'min_steps': 20},\n",
    "#     'double_dqn_8f_flip': {'average': 387.71, 'max_steps': 1362, 'min_steps': 91},\n",
    "    'dqn_16f': {'average': 1166.19, 'max_steps': 3624, 'min_steps': 128},\n",
    "#     'dqn_16f_flip': {'average': 73.52, 'max_steps': 77, 'min_steps': 58},\n",
    "    'dqn_8f': {'average': 240.82, 'max_steps': 605, 'min_steps': 81},\n",
    "#     'dqn_8f_flip': {'average': 1689.35, 'max_steps': 7218, 'min_steps': 783},\n",
    "#     'drqn_16f': {'average': 332.91, 'max_steps': 1410, 'min_steps': 72}\n",
    "}    \n",
    "    \n",
    "plot_results(results)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Initialization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/s0562411/.local/lib/python2.7/site-packages/gym/envs/registration.py:14: PkgResourcesDeprecationWarning: Parameters to load are deprecated.  Call .resolve and .require separately.\n",
      "  result = entry_point.load(False)\n",
      "[ERROR] [1569335456.832304, 0.000000]: SIMULATION RESET\n",
      "[ERROR] [1569335456.836624, 13.685000]: NOT Initialising Simulation Physics Parameters\n",
      "[WARN] [1569335456.839815, 0.003000]: Start Init ControllersConnection\n",
      "[WARN] [1569335456.840526, 0.003000]: END Init ControllersConnection\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[33mWARN: gym.spaces.Box autodetected dtype as <type 'numpy.float32'>. Please provide explicit dtype.\u001b[0m\n"
     ]
    }
   ],
   "source": [
    "# Initializing a ROS Node\n",
    "rospy.init_node('neuroracer_qlearn', anonymous=True, log_level=rospy.INFO)\n",
    "# loading our custom environment for discrete action space\n",
    "env = gym.make('NeuroRacer-v0')\n",
    "# Setting robot's initial position\n",
    "env.initial_position = {'p_x': np.random.uniform(1,4), 'p_y': 3.7, 'p_z': 0.05, 'o_x': 0, 'o_y': 0.0, 'o_z': np.random.uniform(0.4,1), 'o_w': 0.855}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "img_y_offset = 200\n",
    "img_y_scale = 0.2\n",
    "img_x_scale = 0.2\n",
    "\n",
    "file_path = 'final_models/double_dqn_16f.h5'\n",
    "# file_path = 'model_backup/double_dqn_8f.h5'\n",
    "\n",
    "model = load_model(file_path)\n",
    "\n",
    "name = file_path[file_path.rfind('/')+1:-3] \n",
    "n_frames = int(re.findall('_(\\d+)f', name)[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "_________________________________________________________________\n",
      "Layer (type)                 Output Shape              Param #   \n",
      "=================================================================\n",
      "conv2d_1 (Conv2D)            (None, 56, 128, 16)       2320      \n",
      "_________________________________________________________________\n",
      "leaky_re_lu_1 (LeakyReLU)    (None, 56, 128, 16)       0         \n",
      "_________________________________________________________________\n",
      "max_pooling2d_1 (MaxPooling2 (None, 28, 64, 16)        0         \n",
      "_________________________________________________________________\n",
      "dropout_1 (Dropout)          (None, 28, 64, 16)        0         \n",
      "_________________________________________________________________\n",
      "conv2d_2 (Conv2D)            (None, 28, 64, 32)        4640      \n",
      "_________________________________________________________________\n",
      "leaky_re_lu_2 (LeakyReLU)    (None, 28, 64, 32)        0         \n",
      "_________________________________________________________________\n",
      "dropout_2 (Dropout)          (None, 28, 64, 32)        0         \n",
      "_________________________________________________________________\n",
      "conv2d_3 (Conv2D)            (None, 14, 32, 64)        18496     \n",
      "_________________________________________________________________\n",
      "leaky_re_lu_3 (LeakyReLU)    (None, 14, 32, 64)        0         \n",
      "_________________________________________________________________\n",
      "dropout_3 (Dropout)          (None, 14, 32, 64)        0         \n",
      "_________________________________________________________________\n",
      "flatten_1 (Flatten)          (None, 28672)             0         \n",
      "_________________________________________________________________\n",
      "dense_1 (Dense)              (None, 256)               7340288   \n",
      "_________________________________________________________________\n",
      "leaky_re_lu_4 (LeakyReLU)    (None, 256)               0         \n",
      "_________________________________________________________________\n",
      "dropout_4 (Dropout)          (None, 256)               0         \n",
      "_________________________________________________________________\n",
      "dense_2 (Dense)              (None, 128)               32896     \n",
      "_________________________________________________________________\n",
      "leaky_re_lu_5 (LeakyReLU)    (None, 128)               0         \n",
      "_________________________________________________________________\n",
      "dropout_5 (Dropout)          (None, 128)               0         \n",
      "_________________________________________________________________\n",
      "dense_3 (Dense)              (None, 3)                 387       \n",
      "=================================================================\n",
      "Total params: 7,399,027\n",
      "Trainable params: 7,399,027\n",
      "Non-trainable params: 0\n",
      "_________________________________________________________________\n"
     ]
    }
   ],
   "source": [
    "model.summary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[WARN] [1561032807.415938, 1.504000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561032807.454428, 1.537000]: SIMULATION RESET\n",
      "[WARN] [1561032807.495630, 0.032000]: PUBLISHING REWARD...\n",
      "[WARN] [1561032807.496786, 0.032000]: PUBLISHING REWARD...DONE=0,EP=0\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "()\n"
     ]
    }
   ],
   "source": [
    "env.initial_position = {'p_x': np.random.uniform(1,4), 'p_y': 1.7, 'p_z': 0.05, 'o_x': 0, 'o_y': 0.0, 'o_z': np.random.uniform(0.4,1), 'o_w': 0.855}\n",
    "env.reset()\n",
    "print()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 276,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[WARN] [1560852817.280496, 26.522000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1560852817.299000, 26.535000]: SIMULATION RESET\n",
      "[WARN] [1560852817.357019, 0.039000]: PUBLISHING REWARD...\n",
      "[WARN] [1560852817.358229, 0.039000]: PUBLISHING REWARD...DONE=-174.1007788181305,EP=646\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "792"
      ]
     },
     "execution_count": 276,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img = env.reset()\n",
    "states = deque(maxlen=n_frames)\n",
    "for i in range(n_frames):\n",
    "    states.append(preprocess(img, img_y_offset, img_x_scale, img_y_scale))\n",
    "done = False\n",
    "n_steps = 0\n",
    "while not done:\n",
    "    n_steps+=1\n",
    "    action = np.argmax(model.predict(np.expand_dims(np.stack(states, axis=2), axis=0))[0])\n",
    "    img, reward, done, _ = env.step(action)\n",
    "    states.append(preprocess(img, img_y_offset, img_x_scale, img_y_scale))\n",
    "\n",
    "n_steps"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "img_y_offset = 200\n",
    "img_y_scale = 0.2\n",
    "img_x_scale = 0.2\n",
    "\n",
    "f_list = glob.glob(\"model_backup/*.h5\")\n",
    "\n",
    "results = {}\n",
    "\n",
    "max_trails = 100\n",
    "    \n",
    "for file_path in f_list:\n",
    "    \n",
    "    model = load_model(file_path)\n",
    "\n",
    "    name = file_path[file_path.rfind('/')+1:-3] \n",
    "    n_frames = int(re.findall('_(\\d+)f', name)[0])\n",
    "\n",
    "    img = env.reset()\n",
    "    states = deque(maxlen=n_frames)\n",
    "    for i in range(n_frames):\n",
    "        states.append(preprocess(img, img_y_offset, img_x_scale, img_y_scale))\n",
    "    done = False\n",
    "    trail=0\n",
    "    n_steps = 0\n",
    "    results_steps = []\n",
    "    while trail<max_trails:\n",
    "        n_steps+=1\n",
    "        action = np.argmax(model.predict(np.expand_dims(np.stack(states, axis=2), axis=0))[0])\n",
    "        img, reward, done, _ = env.step(action)\n",
    "        states.append(preprocess(img, img_y_offset, img_x_scale, img_y_scale))\n",
    "        if done:\n",
    "            results_steps.append(n_steps)\n",
    "            n_steps = 0\n",
    "            trail+=1\n",
    "            done = False\n",
    "            img = env.reset()\n",
    "            for i in range(n_frames):\n",
    "                states.append(preprocess(img, img_y_offset, img_x_scale, img_y_scale))\n",
    "                \n",
    "    results[name]= {'max_steps':  max(results_steps), \n",
    "                    'min_steps':  min(results_steps), \n",
    "                    'average': sum(results_steps) / float(len(results_steps))\n",
    "                   }\n",
    "    \n",
    "results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = load_model('double_drqn_16f.h5')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[WARN] [1561396224.752957, 1.021000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396224.771549, 1.034000]: SIMULATION RESET\n",
      "[WARN] [1561396224.816508, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396224.817849, 0.034000]: PUBLISHING REWARD...DONE=0,EP=1\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1, 16, 56, 128, 1)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[WARN] [1561396238.220011, 9.317000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396238.257589, 9.351000]: SIMULATION RESET\n",
      "[WARN] [1561396238.298262, 0.033000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396238.299234, 0.033000]: PUBLISHING REWARD...DONE=-80.52434694766998,EP=2\n",
      "[WARN] [1561396250.285511, 9.529000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396250.333637, 9.573000]: SIMULATION RESET\n",
      "[WARN] [1561396250.385361, 0.039000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396250.386576, 0.039000]: PUBLISHING REWARD...DONE=-67.95783317089081,EP=3\n",
      "[WARN] [1561396262.554654, 9.625000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396262.582043, 9.649000]: SIMULATION RESET\n",
      "[WARN] [1561396262.622670, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396262.623743, 0.034000]: PUBLISHING REWARD...DONE=-50.41888791322708,EP=4\n",
      "[WARN] [1561396273.765608, 8.820000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396273.793163, 8.844000]: SIMULATION RESET\n",
      "[WARN] [1561396273.844788, 0.040000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396273.845910, 0.040000]: PUBLISHING REWARD...DONE=-130.68813556432724,EP=5\n",
      "[WARN] [1561396284.944487, 8.734000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396284.982528, 8.767000]: SIMULATION RESET\n",
      "[WARN] [1561396285.024272, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396285.025104, 0.034000]: PUBLISHING REWARD...DONE=-134.80591356754303,EP=6\n",
      "[WARN] [1561396297.278105, 9.722000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396297.295596, 9.736000]: SIMULATION RESET\n",
      "[WARN] [1561396297.337206, 0.032000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396297.338630, 0.032000]: PUBLISHING REWARD...DONE=-44.28908693790436,EP=7\n",
      "[WARN] [1561396309.797637, 9.824000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396309.814693, 9.837000]: SIMULATION RESET\n",
      "[WARN] [1561396309.858231, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396309.859487, 0.034000]: PUBLISHING REWARD...DONE=-45.89916843175888,EP=8\n",
      "[WARN] [1561396321.594693, 9.320000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396321.622044, 9.345000]: SIMULATION RESET\n",
      "[WARN] [1561396321.672982, 0.039000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396321.674096, 0.039000]: PUBLISHING REWARD...DONE=-100.88378429412842,EP=9\n",
      "[WARN] [1561396332.931237, 8.932000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396332.979699, 8.976000]: SIMULATION RESET\n",
      "[WARN] [1561396333.032769, 0.046000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396333.033986, 0.046000]: PUBLISHING REWARD...DONE=-119.81936264038086,EP=10\n",
      "[WARN] [1561396344.915594, 9.427000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396344.962693, 9.471000]: SIMULATION RESET\n",
      "[WARN] [1561396345.002170, 0.029000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396345.003256, 0.029000]: PUBLISHING REWARD...DONE=-89.33568942546844,EP=11\n",
      "[WARN] [1561396356.750504, 9.324000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396356.777892, 9.348000]: SIMULATION RESET\n",
      "[WARN] [1561396356.817526, 0.031000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396356.818781, 0.031000]: PUBLISHING REWARD...DONE=-116.64528930187225,EP=12\n",
      "[WARN] [1561396377.615738, 16.319000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396377.652975, 16.354000]: SIMULATION RESET\n",
      "[WARN] [1561396377.704246, 0.044000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396377.705501, 0.044000]: PUBLISHING REWARD...DONE=-111.15954500436783,EP=13\n",
      "[WARN] [1561396390.119103, 9.820000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396390.146401, 9.845000]: SIMULATION RESET\n",
      "[WARN] [1561396390.196450, 0.044000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396390.197578, 0.044000]: PUBLISHING REWARD...DONE=-50.175169944763184,EP=14\n",
      "[WARN] [1561396402.360260, 9.626000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396402.377860, 9.641000]: SIMULATION RESET\n",
      "[WARN] [1561396402.417948, 0.033000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396402.419150, 0.033000]: PUBLISHING REWARD...DONE=-43.079084157943726,EP=15\n",
      "[WARN] [1561396414.568381, 9.625000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396414.605301, 9.658000]: SIMULATION RESET\n",
      "[WARN] [1561396414.658336, 0.043000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396414.659457, 0.043000]: PUBLISHING REWARD...DONE=-79.56555950641632,EP=16\n",
      "[WARN] [1561396427.301870, 10.025000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396427.340414, 10.060000]: SIMULATION RESET\n",
      "[WARN] [1561396427.381078, 0.035000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396427.382276, 0.035000]: PUBLISHING REWARD...DONE=-32.528358578681946,EP=17\n",
      "[WARN] [1561396439.414499, 9.521000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396439.431444, 9.535000]: SIMULATION RESET\n",
      "[WARN] [1561396439.482435, 0.045000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396439.483653, 0.045000]: PUBLISHING REWARD...DONE=-62.296359956264496,EP=18\n",
      "[WARN] [1561396451.408144, 9.418000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396451.435020, 9.441000]: SIMULATION RESET\n",
      "[WARN] [1561396451.478616, 0.032000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396451.479516, 0.032000]: PUBLISHING REWARD...DONE=-78.80404549837112,EP=19\n",
      "[WARN] [1561396463.698444, 9.619000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396463.726495, 9.644000]: SIMULATION RESET\n",
      "[WARN] [1561396463.781283, 0.044000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396463.782463, 0.044000]: PUBLISHING REWARD...DONE=-45.49343204498291,EP=20\n",
      "[WARN] [1561396475.855784, 9.545000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396475.873706, 9.558000]: SIMULATION RESET\n",
      "[WARN] [1561396475.924898, 0.044000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396475.926031, 0.044000]: PUBLISHING REWARD...DONE=-61.84821146726608,EP=21\n",
      "[WARN] [1561396488.063766, 9.630000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396488.101676, 9.664000]: SIMULATION RESET\n",
      "[WARN] [1561396488.142723, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396488.143951, 0.034000]: PUBLISHING REWARD...DONE=-72.39279532432556,EP=22\n",
      "[WARN] [1561396500.174628, 9.516000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396500.201916, 9.540000]: SIMULATION RESET\n",
      "[WARN] [1561396500.255376, 0.045000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396500.256480, 0.045000]: PUBLISHING REWARD...DONE=-66.47919511795044,EP=23\n",
      "[WARN] [1561396512.479367, 9.636000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396512.517272, 9.670000]: SIMULATION RESET\n",
      "[WARN] [1561396512.560298, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396512.561491, 0.034000]: PUBLISHING REWARD...DONE=-56.5533401966095,EP=24\n",
      "[WARN] [1561396524.842984, 9.730000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396524.880186, 9.763000]: SIMULATION RESET\n",
      "[WARN] [1561396524.921602, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396524.922794, 0.034000]: PUBLISHING REWARD...DONE=-49.68842053413391,EP=25\n",
      "[WARN] [1561396537.107286, 9.623000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396537.144266, 9.656000]: SIMULATION RESET\n",
      "[WARN] [1561396537.195938, 0.043000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396537.197182, 0.043000]: PUBLISHING REWARD...DONE=-60.9053937792778,EP=26\n",
      "[WARN] [1561396549.143264, 9.430000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396549.160672, 9.443000]: SIMULATION RESET\n",
      "[WARN] [1561396549.200591, 0.033000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396549.201472, 0.033000]: PUBLISHING REWARD...DONE=-82.66581708192825,EP=27\n",
      "[WARN] [1561396561.376966, 9.614000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396561.425038, 9.659000]: SIMULATION RESET\n",
      "[WARN] [1561396561.466303, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396561.467601, 0.034000]: PUBLISHING REWARD...DONE=-42.396133065223694,EP=28\n",
      "[WARN] [1561396573.650300, 9.620000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396573.667147, 9.633000]: SIMULATION RESET\n",
      "[WARN] [1561396573.707933, 0.030000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396573.709103, 0.030000]: PUBLISHING REWARD...DONE=-41.04211348295212,EP=29\n",
      "[WARN] [1561396585.450780, 9.321000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396585.478439, 9.345000]: SIMULATION RESET\n",
      "[WARN] [1561396585.519886, 0.032000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396585.521168, 0.032000]: PUBLISHING REWARD...DONE=-99.03380036354065,EP=30\n",
      "[WARN] [1561396597.417127, 9.419000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396597.454564, 9.453000]: SIMULATION RESET\n",
      "[WARN] [1561396597.505068, 0.043000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396597.506302, 0.043000]: PUBLISHING REWARD...DONE=-64.0283413529396,EP=31\n",
      "[WARN] [1561396609.656894, 9.633000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396609.695249, 9.668000]: SIMULATION RESET\n",
      "[WARN] [1561396609.736482, 0.032000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396609.737877, 0.032000]: PUBLISHING REWARD...DONE=-64.81135880947113,EP=32\n",
      "[WARN] [1561396621.804475, 9.523000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396621.831448, 9.547000]: SIMULATION RESET\n",
      "[WARN] [1561396621.883237, 0.039000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396621.884575, 0.039000]: PUBLISHING REWARD...DONE=-75.37260788679123,EP=33\n",
      "[WARN] [1561396634.409006, 9.838000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396634.446820, 9.872000]: SIMULATION RESET\n",
      "[WARN] [1561396634.498117, 0.043000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396634.499248, 0.043000]: PUBLISHING REWARD...DONE=-39.38566815853119,EP=34\n",
      "[WARN] [1561396646.318020, 9.339000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396646.346095, 9.363000]: SIMULATION RESET\n",
      "[WARN] [1561396646.385956, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396646.387202, 0.034000]: PUBLISHING REWARD...DONE=-95.07145237922668,EP=35\n",
      "[WARN] [1561396658.008307, 9.223000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396658.025619, 9.236000]: SIMULATION RESET\n",
      "[WARN] [1561396658.066050, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396658.067254, 0.034000]: PUBLISHING REWARD...DONE=-75.48669052124023,EP=36\n",
      "[WARN] [1561396670.196560, 9.629000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396670.213776, 9.643000]: SIMULATION RESET\n",
      "[WARN] [1561396670.257645, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396670.258964, 0.034000]: PUBLISHING REWARD...DONE=-78.82388377189636,EP=37\n",
      "[WARN] [1561396682.307041, 9.523000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396682.333699, 9.547000]: SIMULATION RESET\n",
      "[WARN] [1561396682.374162, 0.032000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396682.375374, 0.032000]: PUBLISHING REWARD...DONE=-68.31137472391129,EP=38\n",
      "[WARN] [1561396694.946904, 9.921000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396694.984129, 9.954000]: SIMULATION RESET\n",
      "[WARN] [1561396695.035206, 0.040000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396695.036191, 0.040000]: PUBLISHING REWARD...DONE=-23.39851701259613,EP=39\n",
      "[WARN] [1561396706.846566, 9.332000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396706.884038, 9.366000]: SIMULATION RESET\n",
      "[WARN] [1561396706.933711, 0.041000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396706.934548, 0.041000]: PUBLISHING REWARD...DONE=-112.61630487442017,EP=40\n",
      "[WARN] [1561396719.297930, 9.734000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396719.326040, 9.757000]: SIMULATION RESET\n",
      "[WARN] [1561396719.377017, 0.044000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396719.378220, 0.044000]: PUBLISHING REWARD...DONE=-35.314484655857086,EP=41\n",
      "[WARN] [1561396731.679429, 9.730000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396731.727608, 9.775000]: SIMULATION RESET\n",
      "[WARN] [1561396731.778008, 0.043000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396731.779100, 0.043000]: PUBLISHING REWARD...DONE=-51.116444528102875,EP=42\n",
      "[WARN] [1561396743.634673, 9.331000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396743.682378, 9.375000]: SIMULATION RESET\n",
      "[WARN] [1561396743.721906, 0.033000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396743.723265, 0.033000]: PUBLISHING REWARD...DONE=-104.51615905761719,EP=43\n",
      "[WARN] [1561396765.623715, 17.116000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396765.660704, 17.150000]: SIMULATION RESET\n",
      "[WARN] [1561396765.703860, 0.033000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396765.704955, 0.033000]: PUBLISHING REWARD...DONE=-71.69820898771286,EP=44\n",
      "[WARN] [1561396777.740758, 9.513000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396777.767382, 9.536000]: SIMULATION RESET\n",
      "[WARN] [1561396777.817757, 0.043000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396777.819062, 0.043000]: PUBLISHING REWARD...DONE=-74.3842511177063,EP=45\n",
      "[WARN] [1561396789.620583, 9.333000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396789.658170, 9.367000]: SIMULATION RESET\n",
      "[WARN] [1561396789.709478, 0.040000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396789.710783, 0.040000]: PUBLISHING REWARD...DONE=-82.5384613275528,EP=46\n",
      "[WARN] [1561396801.107680, 9.028000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396801.124621, 9.042000]: SIMULATION RESET\n",
      "[WARN] [1561396801.164460, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396801.165660, 0.034000]: PUBLISHING REWARD...DONE=-137.2571547627449,EP=47\n",
      "[WARN] [1561396812.712853, 9.122000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396812.750035, 9.156000]: SIMULATION RESET\n",
      "[WARN] [1561396812.800241, 0.043000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396812.801526, 0.043000]: PUBLISHING REWARD...DONE=-104.52129220962524,EP=48\n",
      "[WARN] [1561396823.931722, 8.831000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396823.969269, 8.866000]: SIMULATION RESET\n",
      "[WARN] [1561396824.010026, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396824.011027, 0.034000]: PUBLISHING REWARD...DONE=-155.89617347717285,EP=49\n",
      "[WARN] [1561396844.170322, 15.826000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396844.207977, 15.859000]: SIMULATION RESET\n",
      "[WARN] [1561396844.249497, 0.033000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396844.250851, 0.033000]: PUBLISHING REWARD...DONE=-131.0597629547119,EP=50\n",
      "[WARN] [1561396856.414263, 9.615000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396856.441921, 9.639000]: SIMULATION RESET\n",
      "[WARN] [1561396856.492672, 0.044000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396856.493869, 0.044000]: PUBLISHING REWARD...DONE=-74.17641967535019,EP=51\n",
      "[WARN] [1561396868.051460, 9.135000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396868.088890, 9.169000]: SIMULATION RESET\n",
      "[WARN] [1561396868.129228, 0.032000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396868.130178, 0.032000]: PUBLISHING REWARD...DONE=-104.37285447120667,EP=52\n",
      "[WARN] [1561396879.134808, 8.719000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396879.182507, 8.764000]: SIMULATION RESET\n",
      "[WARN] [1561396879.222960, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396879.224284, 0.034000]: PUBLISHING REWARD...DONE=-148.10889035463333,EP=53\n",
      "[WARN] [1561396891.242372, 9.529000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396891.288731, 9.572000]: SIMULATION RESET\n",
      "[WARN] [1561396891.338214, 0.043000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396891.339414, 0.043000]: PUBLISHING REWARD...DONE=-60.11571925878525,EP=54\n",
      "[WARN] [1561396903.140563, 9.328000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396903.187935, 9.373000]: SIMULATION RESET\n",
      "[WARN] [1561396903.239729, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396903.241022, 0.034000]: PUBLISHING REWARD...DONE=-107.58728694915771,EP=55\n",
      "[WARN] [1561396915.296633, 9.533000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396915.324011, 9.557000]: SIMULATION RESET\n",
      "[WARN] [1561396915.378895, 0.039000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396915.380171, 0.039000]: PUBLISHING REWARD...DONE=-69.9037914276123,EP=56\n",
      "[WARN] [1561396927.560510, 9.623000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396927.587967, 9.646000]: SIMULATION RESET\n",
      "[WARN] [1561396927.639879, 0.040000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396927.641114, 0.040000]: PUBLISHING REWARD...DONE=-46.1297190785408,EP=57\n",
      "[WARN] [1561396939.536751, 9.432000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396939.573506, 9.465000]: SIMULATION RESET\n",
      "[WARN] [1561396939.624648, 0.044000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396939.625897, 0.044000]: PUBLISHING REWARD...DONE=-90.327965259552,EP=58\n",
      "[WARN] [1561396951.573868, 9.429000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396951.630989, 9.484000]: SIMULATION RESET\n",
      "[WARN] [1561396951.680637, 0.044000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396951.681805, 0.044000]: PUBLISHING REWARD...DONE=-109.46945142745972,EP=59\n",
      "[WARN] [1561396963.201149, 9.138000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396963.249100, 9.182000]: SIMULATION RESET\n",
      "[WARN] [1561396963.289561, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396963.290890, 0.034000]: PUBLISHING REWARD...DONE=-98.14443838596344,EP=60\n",
      "[WARN] [1561396975.084148, 9.324000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396975.101370, 9.338000]: SIMULATION RESET\n",
      "[WARN] [1561396975.142954, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396975.144162, 0.034000]: PUBLISHING REWARD...DONE=-78.27718889713287,EP=61\n",
      "[WARN] [1561396987.182372, 9.513000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396987.230669, 9.558000]: SIMULATION RESET\n",
      "[WARN] [1561396987.272799, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396987.273945, 0.034000]: PUBLISHING REWARD...DONE=-99.61027538776398,EP=62\n",
      "[WARN] [1561396998.123593, 8.628000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561396998.160554, 8.661000]: SIMULATION RESET\n",
      "[WARN] [1561396998.210630, 0.044000]: PUBLISHING REWARD...\n",
      "[WARN] [1561396998.211855, 0.044000]: PUBLISHING REWARD...DONE=-152.18130815029144,EP=63\n",
      "[WARN] [1561397009.968936, 9.329000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397010.016120, 9.374000]: SIMULATION RESET\n",
      "[WARN] [1561397010.056586, 0.031000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397010.057440, 0.031000]: PUBLISHING REWARD...DONE=-100.01833605766296,EP=64\n",
      "[WARN] [1561397021.821500, 9.327000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397021.858541, 9.360000]: SIMULATION RESET\n",
      "[WARN] [1561397021.908346, 0.044000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397021.909237, 0.044000]: PUBLISHING REWARD...DONE=-112.36089515686035,EP=65\n",
      "[WARN] [1561397033.063152, 8.836000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397033.111536, 8.880000]: SIMULATION RESET\n",
      "[WARN] [1561397033.155393, 0.031000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397033.156440, 0.031000]: PUBLISHING REWARD...DONE=-129.4482251405716,EP=66\n",
      "[WARN] [1561397045.063997, 9.421000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397045.111283, 9.466000]: SIMULATION RESET\n",
      "[WARN] [1561397045.151355, 0.032000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397045.152401, 0.032000]: PUBLISHING REWARD...DONE=-82.1514345407486,EP=67\n",
      "[WARN] [1561397056.839285, 9.228000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397056.886274, 9.271000]: SIMULATION RESET\n",
      "[WARN] [1561397056.926402, 0.033000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397056.927579, 0.033000]: PUBLISHING REWARD...DONE=-136.6742331981659,EP=68\n",
      "[WARN] [1561397068.548850, 9.225000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397068.596260, 9.269000]: SIMULATION RESET\n",
      "[WARN] [1561397068.639677, 0.032000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397068.641033, 0.032000]: PUBLISHING REWARD...DONE=-150.42901611328125,EP=69\n",
      "[WARN] [1561397080.173305, 9.119000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397080.210505, 9.153000]: SIMULATION RESET\n",
      "[WARN] [1561397080.260645, 0.043000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397080.261689, 0.043000]: PUBLISHING REWARD...DONE=-102.26427620649338,EP=70\n",
      "[WARN] [1561397092.220164, 9.418000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397092.247096, 9.441000]: SIMULATION RESET\n",
      "[WARN] [1561397092.297135, 0.044000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397092.298295, 0.044000]: PUBLISHING REWARD...DONE=-86.08266669511795,EP=71\n",
      "[WARN] [1561397103.997557, 9.234000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397104.025751, 9.258000]: SIMULATION RESET\n",
      "[WARN] [1561397104.075929, 0.040000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397104.077247, 0.040000]: PUBLISHING REWARD...DONE=-97.38457888364792,EP=72\n",
      "[WARN] [1561397125.190200, 16.438000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397125.238414, 16.481000]: SIMULATION RESET\n",
      "[WARN] [1561397125.288291, 0.043000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397125.289379, 0.043000]: PUBLISHING REWARD...DONE=-109.53245025873184,EP=73\n",
      "[WARN] [1561397136.412813, 8.827000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397136.430245, 8.841000]: SIMULATION RESET\n",
      "[WARN] [1561397136.470650, 0.033000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397136.471664, 0.033000]: PUBLISHING REWARD...DONE=-146.1335704922676,EP=74\n",
      "[WARN] [1561397148.223010, 9.326000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397148.271176, 9.372000]: SIMULATION RESET\n",
      "[WARN] [1561397148.311491, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397148.312262, 0.034000]: PUBLISHING REWARD...DONE=-81.55818778276443,EP=75\n",
      "[WARN] [1561397160.061578, 9.329000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397160.098700, 9.363000]: SIMULATION RESET\n",
      "[WARN] [1561397160.149165, 0.044000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397160.150336, 0.044000]: PUBLISHING REWARD...DONE=-93.25273102521896,EP=76\n",
      "[WARN] [1561397171.261827, 8.827000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397171.279410, 8.841000]: SIMULATION RESET\n",
      "[WARN] [1561397171.320445, 0.033000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397171.321328, 0.033000]: PUBLISHING REWARD...DONE=-129.31061834096909,EP=77\n",
      "[WARN] [1561397182.410722, 8.828000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397182.458662, 8.874000]: SIMULATION RESET\n",
      "[WARN] [1561397182.510080, 0.039000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397182.511085, 0.039000]: PUBLISHING REWARD...DONE=-146.6765170097351,EP=78\n",
      "[WARN] [1561397194.632851, 9.629000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397194.670958, 9.663000]: SIMULATION RESET\n",
      "[WARN] [1561397194.722351, 0.044000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397194.723606, 0.044000]: PUBLISHING REWARD...DONE=-61.96597796678543,EP=79\n",
      "[WARN] [1561397205.347284, 8.435000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397205.394939, 8.478000]: SIMULATION RESET\n",
      "[WARN] [1561397205.445168, 0.044000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397205.446577, 0.044000]: PUBLISHING REWARD...DONE=-180.7267581820488,EP=80\n",
      "[WARN] [1561397217.122196, 9.235000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397217.149501, 9.259000]: SIMULATION RESET\n",
      "[WARN] [1561397217.193569, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397217.194771, 0.034000]: PUBLISHING REWARD...DONE=-101.95900297164917,EP=81\n",
      "[WARN] [1561397229.457134, 9.727000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397229.472826, 9.739000]: SIMULATION RESET\n",
      "[WARN] [1561397229.523501, 0.044000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397229.524622, 0.044000]: PUBLISHING REWARD...DONE=-46.255929589271545,EP=82\n",
      "[WARN] [1561397241.305859, 9.322000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397241.322039, 9.335000]: SIMULATION RESET\n",
      "[WARN] [1561397241.362209, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397241.363454, 0.034000]: PUBLISHING REWARD...DONE=-86.20257169008255,EP=83\n",
      "[WARN] [1561397253.384127, 9.524000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397253.431325, 9.568000]: SIMULATION RESET\n",
      "[WARN] [1561397253.482391, 0.041000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397253.483807, 0.041000]: PUBLISHING REWARD...DONE=-70.03968745470047,EP=84\n",
      "[WARN] [1561397265.174954, 9.237000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397265.202692, 9.262000]: SIMULATION RESET\n",
      "[WARN] [1561397265.254193, 0.042000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397265.255330, 0.042000]: PUBLISHING REWARD...DONE=-124.5406688451767,EP=85\n",
      "[WARN] [1561397277.379816, 9.627000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397277.418033, 9.661000]: SIMULATION RESET\n",
      "[WARN] [1561397277.469383, 0.044000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397277.470646, 0.044000]: PUBLISHING REWARD...DONE=-65.05071675777435,EP=86\n",
      "[WARN] [1561397289.937991, 9.822000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397289.964204, 9.846000]: SIMULATION RESET\n",
      "[WARN] [1561397290.005095, 0.031000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397290.006207, 0.031000]: PUBLISHING REWARD...DONE=-36.399859607219696,EP=87\n",
      "[WARN] [1561397302.171012, 9.622000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397302.208474, 9.656000]: SIMULATION RESET\n",
      "[WARN] [1561397302.262531, 0.039000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397302.263654, 0.039000]: PUBLISHING REWARD...DONE=-58.202149748802185,EP=88\n",
      "[WARN] [1561397314.412401, 9.631000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397314.429443, 9.645000]: SIMULATION RESET\n",
      "[WARN] [1561397314.472121, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397314.473338, 0.034000]: PUBLISHING REWARD...DONE=-62.1618075966835,EP=89\n",
      "[WARN] [1561397326.020904, 9.118000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397326.068972, 9.163000]: SIMULATION RESET\n",
      "[WARN] [1561397326.109521, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397326.110682, 0.034000]: PUBLISHING REWARD...DONE=-92.67184299230576,EP=90\n",
      "[WARN] [1561397338.064349, 9.417000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397338.091932, 9.441000]: SIMULATION RESET\n",
      "[WARN] [1561397338.142611, 0.043000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397338.143942, 0.043000]: PUBLISHING REWARD...DONE=-94.99747395515442,EP=91\n",
      "[WARN] [1561397350.623725, 9.826000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397350.650437, 9.850000]: SIMULATION RESET\n",
      "[WARN] [1561397350.689229, 0.033000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397350.690446, 0.033000]: PUBLISHING REWARD...DONE=-31.924611270427704,EP=92\n",
      "[WARN] [1561397361.660368, 8.725000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397361.697651, 8.760000]: SIMULATION RESET\n",
      "[WARN] [1561397361.738101, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397361.739332, 0.034000]: PUBLISHING REWARD...DONE=-167.72689217329025,EP=93\n",
      "[WARN] [1561397373.926174, 9.618000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397373.953462, 9.642000]: SIMULATION RESET\n",
      "[WARN] [1561397373.995626, 0.031000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397373.997154, 0.031000]: PUBLISHING REWARD...DONE=-58.79505914449692,EP=94\n",
      "[WARN] [1561397385.276274, 8.923000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397385.293024, 8.936000]: SIMULATION RESET\n",
      "[WARN] [1561397385.333966, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397385.334981, 0.034000]: PUBLISHING REWARD...DONE=-133.46728932857513,EP=95\n",
      "[WARN] [1561397397.316791, 9.415000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397397.353759, 9.448000]: SIMULATION RESET\n",
      "[WARN] [1561397397.404067, 0.036000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397397.405202, 0.036000]: PUBLISHING REWARD...DONE=-94.41419410705566,EP=96\n",
      "[WARN] [1561397409.559236, 9.621000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397409.596752, 9.654000]: SIMULATION RESET\n",
      "[WARN] [1561397409.649550, 0.045000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397409.650826, 0.045000]: PUBLISHING REWARD...DONE=-65.56231939792633,EP=97\n",
      "[WARN] [1561397420.534488, 8.629000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397420.561978, 8.653000]: SIMULATION RESET\n",
      "[WARN] [1561397420.612554, 0.044000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397420.613779, 0.044000]: PUBLISHING REWARD...DONE=-158.00061440467834,EP=98\n",
      "[WARN] [1561397432.415842, 9.332000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397432.463246, 9.375000]: SIMULATION RESET\n",
      "[WARN] [1561397432.505552, 0.033000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397432.506663, 0.033000]: PUBLISHING REWARD...DONE=-102.10903191566467,EP=99\n",
      "[WARN] [1561397444.820954, 9.719000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397444.838381, 9.733000]: SIMULATION RESET\n",
      "[WARN] [1561397444.878837, 0.034000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397444.879959, 0.034000]: PUBLISHING REWARD...DONE=-59.21856611967087,EP=100\n",
      "[WARN] [1561397456.308529, 9.018000]: DONT RESET CONTROLLERS\n",
      "[ERROR] [1561397456.345781, 9.053000]: SIMULATION RESET\n",
      "[WARN] [1561397456.396448, 0.045000]: PUBLISHING REWARD...\n",
      "[WARN] [1561397456.397707, 0.045000]: PUBLISHING REWARD...DONE=-156.74717843532562,EP=101\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "{'double_drqn_16f.h5': {'average': 86.34, 'max_steps': 161, 'min_steps': 74}}"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img_y_offset = 200\n",
    "img_y_scale = 0.2\n",
    "img_x_scale = 0.2\n",
    "\n",
    "\n",
    "results = {}\n",
    "max_trails = 100\n",
    "    \n",
    "    \n",
    "\n",
    "name = 'double_drqn_16f.h5'\n",
    "n_frames = int(re.findall('_(\\d+)f', name)[0])\n",
    "\n",
    "img = env.reset()\n",
    "states = deque(maxlen=n_frames)\n",
    "for i in range(n_frames):\n",
    "    states.append(preprocess(img, img_y_offset, img_x_scale, img_y_scale))\n",
    "print(np.expand_dims(np.moveaxis(np.expand_dims(np.stack(states, axis=2), axis=0), -1, 1), axis=-1).shape)\n",
    "done = False\n",
    "trail=0\n",
    "n_steps = 0\n",
    "results_steps = []\n",
    "while trail<max_trails:\n",
    "    n_steps+=1\n",
    "    action = np.argmax(model.predict(np.expand_dims(np.moveaxis(np.expand_dims(np.stack(states, axis=2), axis=0), -1, 1), axis=-1))[0])\n",
    "    img, reward, done, _ = env.step(action)\n",
    "    states.append(preprocess(img, img_y_offset, img_x_scale, img_y_scale))\n",
    "    if done:\n",
    "        results_steps.append(n_steps)\n",
    "        n_steps = 0\n",
    "        trail+=1\n",
    "        done = False\n",
    "        img = env.reset()\n",
    "        for i in range(n_frames):\n",
    "            states.append(preprocess(img, img_y_offset, img_x_scale, img_y_scale))\n",
    "\n",
    "results[name]= {'max_steps':  max(results_steps), \n",
    "                'min_steps':  min(results_steps), \n",
    "                'average': sum(results_steps) / float(len(results_steps))\n",
    "               }\n",
    "    \n",
    "results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 233,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "results_old = {'double_dqn_8f': {'average': 31.4, 'max_steps': 909, 'min_steps': 5},\n",
    " 'double_dqn_8f_bac0': {'average': 281.84, 'max_steps': 534, 'min_steps': 15},\n",
    " 'double_dqn_8f_flipp': {'average': 576.37,\n",
    "  'max_steps': 2393,\n",
    "  'min_steps': 84},\n",
    " 'dqn0_4f': {'average': 93.1, 'max_steps': 621, 'min_steps': 78},\n",
    " 'dqn_4f_flip': {'average': 411.68, 'max_steps': 555, 'min_steps': 10},\n",
    " 'dqn_8f': {'average': 68.12, 'max_steps': 87, 'min_steps': 39}}\n",
    "\n",
    "plot_results(results_old)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.choice(range(1), 1, False)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.15+"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}