{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "from tabulate import tabulate\n",
    "\n",
    "# The following imports NEED to be in the exact order\n",
    "from SimCAD.engine import ExecutionMode, ExecutionContext, Executor\n",
    "from validation import config1, config2\n",
    "from SimCAD import configs\n",
    "\n",
    "exec_mode = ExecutionMode()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Simulation Execution 1\n",
      "\n",
      "single_proc: [<SimCAD.configuration.Configuration object at 0x10a305278>]\n"
     ]
    }
   ],
   "source": [
    "print(\"Simulation Execution 1\")\n",
    "print()\n",
    "first_config = [configs[0]] # from config1\n",
    "single_proc_ctx = ExecutionContext(context=exec_mode.single_proc)\n",
    "run1 = Executor(exec_context=single_proc_ctx, configs=first_config)\n",
    "run1_raw_result, raw_tensor_field = run1.main()\n",
    "result = pd.DataFrame(run1_raw_result)\n",
    "tensor_field = pd.DataFrame(raw_tensor_field)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tensor Field:\n"
     ]
    },
    {
     "data": {
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       "\n",
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       "        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>b1</th>\n",
       "      <th>b2</th>\n",
       "      <th>s1</th>\n",
       "      <th>s2</th>\n",
       "      <th>es1</th>\n",
       "      <th>es2</th>\n",
       "      <th>es3</th>\n",
       "      <th>m</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>&lt;function b1m1 at 0x109f25d90&gt;</td>\n",
       "      <td>&lt;function b2m1 at 0x10a2fda60&gt;</td>\n",
       "      <td>&lt;function s1m1 at 0x10a2fdd08&gt;</td>\n",
       "      <td>&lt;function s2m1 at 0x10a2fdd90&gt;</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
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       "      <td>&lt;function s2m2 at 0x10a2fdea0&gt;</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>&lt;function b1m3 at 0x10a2fdbf8&gt;</td>\n",
       "      <td>&lt;function b2m3 at 0x10a2fdc80&gt;</td>\n",
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       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>3</td>\n",
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       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                               b1                              b2  \\\n",
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       "2  <function b1m3 at 0x10a2fdbf8>  <function b2m3 at 0x10a2fdc80>   \n",
       "\n",
       "                               s1                              s2  \\\n",
       "0  <function s1m1 at 0x10a2fdd08>  <function s2m1 at 0x10a2fdd90>   \n",
       "1  <function s1m2 at 0x10a2fde18>  <function s2m2 at 0x10a2fdea0>   \n",
       "2  <function s1m3 at 0x10a2fdf28>  <function s2m3 at 0x10a308048>   \n",
       "\n",
       "                                                 es1  \\\n",
       "0  <function curried.<locals>._curried at 0x10a30...   \n",
       "1  <function curried.<locals>._curried at 0x10a30...   \n",
       "2  <function curried.<locals>._curried at 0x10a30...   \n",
       "\n",
       "                                                 es2  \\\n",
       "0  <function curried.<locals>._curried at 0x10a30...   \n",
       "1  <function curried.<locals>._curried at 0x10a30...   \n",
       "2  <function curried.<locals>._curried at 0x10a30...   \n",
       "\n",
       "                                                 es3  m  \n",
       "0  <function curried.<locals>._curried at 0x10a30...  1  \n",
       "1  <function curried.<locals>._curried at 0x10a30...  2  \n",
       "2  <function curried.<locals>._curried at 0x10a30...  3  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "print(\"Tensor Field:\")\n",
    "tensor_field"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Output:\n"
     ]
    },
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mech_step</th>\n",
       "      <th>run</th>\n",
       "      <th>s1</th>\n",
       "      <th>s2</th>\n",
       "      <th>s3</th>\n",
       "      <th>s4</th>\n",
       "      <th>time_step</th>\n",
       "      <th>timestamp</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
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       "      <th>1</th>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
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       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>2018-10-01 15:16:25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
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       "      <td>1</td>\n",
       "      <td>[c, d]</td>\n",
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       "      <td>10</td>\n",
       "      <td>1</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>10.43650985051199020503531756</td>\n",
       "      <td>2</td>\n",
       "      <td>2018-10-01 15:16:26</td>\n",
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       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
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       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>10.43650985051199020503531756</td>\n",
       "      <td>2</td>\n",
       "      <td>2018-10-01 15:16:26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>5</td>\n",
       "      <td>10.43650985051199020503531756</td>\n",
       "      <td>2</td>\n",
       "      <td>2018-10-01 15:16:26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>10.53721952812028761860248013</td>\n",
       "      <td>3</td>\n",
       "      <td>2018-10-01 15:16:27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>ab</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>10.53721952812028761860248013</td>\n",
       "      <td>3</td>\n",
       "      <td>2018-10-01 15:16:27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>5</td>\n",
       "      <td>10.53721952812028761860248013</td>\n",
       "      <td>3</td>\n",
       "      <td>2018-10-01 15:16:27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>8.573616357680089499783223212</td>\n",
       "      <td>4</td>\n",
       "      <td>2018-10-01 15:16:28</td>\n",
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       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
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       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>8.573616357680089499783223212</td>\n",
       "      <td>4</td>\n",
       "      <td>2018-10-01 15:16:28</td>\n",
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       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>5</td>\n",
       "      <td>8.573616357680089499783223212</td>\n",
       "      <td>4</td>\n",
       "      <td>2018-10-01 15:16:28</td>\n",
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       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>8.335794354629596453007093216</td>\n",
       "      <td>5</td>\n",
       "      <td>2018-10-01 15:16:29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>ab</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>8.335794354629596453007093216</td>\n",
       "      <td>5</td>\n",
       "      <td>2018-10-01 15:16:29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>5</td>\n",
       "      <td>8.335794354629596453007093216</td>\n",
       "      <td>5</td>\n",
       "      <td>2018-10-01 15:16:29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2018-10-01 15:16:24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>2018-10-01 15:16:25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>ab</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>2018-10-01 15:16:25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>5</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>2018-10-01 15:16:25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>9.917258518517539922498826854</td>\n",
       "      <td>2</td>\n",
       "      <td>2018-10-01 15:16:26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>ab</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>9.917258518517539922498826854</td>\n",
       "      <td>2</td>\n",
       "      <td>2018-10-01 15:16:26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>5</td>\n",
       "      <td>9.917258518517539922498826854</td>\n",
       "      <td>2</td>\n",
       "      <td>2018-10-01 15:16:26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>9.295445738182783098967212172</td>\n",
       "      <td>3</td>\n",
       "      <td>2018-10-01 15:16:27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>ab</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>9.295445738182783098967212172</td>\n",
       "      <td>3</td>\n",
       "      <td>2018-10-01 15:16:27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>5</td>\n",
       "      <td>9.295445738182783098967212172</td>\n",
       "      <td>3</td>\n",
       "      <td>2018-10-01 15:16:27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>9.254714796976556134819588883</td>\n",
       "      <td>4</td>\n",
       "      <td>2018-10-01 15:16:28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>ab</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>9.254714796976556134819588883</td>\n",
       "      <td>4</td>\n",
       "      <td>2018-10-01 15:16:28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>5</td>\n",
       "      <td>9.254714796976556134819588883</td>\n",
       "      <td>4</td>\n",
       "      <td>2018-10-01 15:16:28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>8.813063120281346104256259818</td>\n",
       "      <td>5</td>\n",
       "      <td>2018-10-01 15:16:29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>ab</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>8.813063120281346104256259818</td>\n",
       "      <td>5</td>\n",
       "      <td>2018-10-01 15:16:29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>5</td>\n",
       "      <td>8.813063120281346104256259818</td>\n",
       "      <td>5</td>\n",
       "      <td>2018-10-01 15:16:29</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    mech_step  run      s1         s2 s3                             s4  \\\n",
       "0           0    1       0          0  1                              1   \n",
       "1           1    1       1          4  5                             10   \n",
       "2           2    1      ab          6  5                             10   \n",
       "3           3    1  [c, d]  [30, 300]  5                             10   \n",
       "4           1    1       1          4  5  10.43650985051199020503531756   \n",
       "5           2    1      ab          6  5  10.43650985051199020503531756   \n",
       "6           3    1  [c, d]  [30, 300]  5  10.43650985051199020503531756   \n",
       "7           1    1       1          4  5  10.53721952812028761860248013   \n",
       "8           2    1      ab          6  5  10.53721952812028761860248013   \n",
       "9           3    1  [c, d]  [30, 300]  5  10.53721952812028761860248013   \n",
       "10          1    1       1          4  5  8.573616357680089499783223212   \n",
       "11          2    1      ab          6  5  8.573616357680089499783223212   \n",
       "12          3    1  [c, d]  [30, 300]  5  8.573616357680089499783223212   \n",
       "13          1    1       1          4  5  8.335794354629596453007093216   \n",
       "14          2    1      ab          6  5  8.335794354629596453007093216   \n",
       "15          3    1  [c, d]  [30, 300]  5  8.335794354629596453007093216   \n",
       "16          0    2       0          0  1                              1   \n",
       "17          1    2       1          4  5                             10   \n",
       "18          2    2      ab          6  5                             10   \n",
       "19          3    2  [c, d]  [30, 300]  5                             10   \n",
       "20          1    2       1          4  5  9.917258518517539922498826854   \n",
       "21          2    2      ab          6  5  9.917258518517539922498826854   \n",
       "22          3    2  [c, d]  [30, 300]  5  9.917258518517539922498826854   \n",
       "23          1    2       1          4  5  9.295445738182783098967212172   \n",
       "24          2    2      ab          6  5  9.295445738182783098967212172   \n",
       "25          3    2  [c, d]  [30, 300]  5  9.295445738182783098967212172   \n",
       "26          1    2       1          4  5  9.254714796976556134819588883   \n",
       "27          2    2      ab          6  5  9.254714796976556134819588883   \n",
       "28          3    2  [c, d]  [30, 300]  5  9.254714796976556134819588883   \n",
       "29          1    2       1          4  5  8.813063120281346104256259818   \n",
       "30          2    2      ab          6  5  8.813063120281346104256259818   \n",
       "31          3    2  [c, d]  [30, 300]  5  8.813063120281346104256259818   \n",
       "\n",
       "    time_step            timestamp  \n",
       "0           0  2018-10-01 15:16:24  \n",
       "1           1  2018-10-01 15:16:25  \n",
       "2           1  2018-10-01 15:16:25  \n",
       "3           1  2018-10-01 15:16:25  \n",
       "4           2  2018-10-01 15:16:26  \n",
       "5           2  2018-10-01 15:16:26  \n",
       "6           2  2018-10-01 15:16:26  \n",
       "7           3  2018-10-01 15:16:27  \n",
       "8           3  2018-10-01 15:16:27  \n",
       "9           3  2018-10-01 15:16:27  \n",
       "10          4  2018-10-01 15:16:28  \n",
       "11          4  2018-10-01 15:16:28  \n",
       "12          4  2018-10-01 15:16:28  \n",
       "13          5  2018-10-01 15:16:29  \n",
       "14          5  2018-10-01 15:16:29  \n",
       "15          5  2018-10-01 15:16:29  \n",
       "16          0  2018-10-01 15:16:24  \n",
       "17          1  2018-10-01 15:16:25  \n",
       "18          1  2018-10-01 15:16:25  \n",
       "19          1  2018-10-01 15:16:25  \n",
       "20          2  2018-10-01 15:16:26  \n",
       "21          2  2018-10-01 15:16:26  \n",
       "22          2  2018-10-01 15:16:26  \n",
       "23          3  2018-10-01 15:16:27  \n",
       "24          3  2018-10-01 15:16:27  \n",
       "25          3  2018-10-01 15:16:27  \n",
       "26          4  2018-10-01 15:16:28  \n",
       "27          4  2018-10-01 15:16:28  \n",
       "28          4  2018-10-01 15:16:28  \n",
       "29          5  2018-10-01 15:16:29  \n",
       "30          5  2018-10-01 15:16:29  \n",
       "31          5  2018-10-01 15:16:29  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "print(\"Output:\")\n",
    "result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Simulation Execution 2: Pairwise Execution\n",
      "\n",
      "multi_proc: [<SimCAD.configuration.Configuration object at 0x10a305278>, <SimCAD.configuration.Configuration object at 0x10a305630>]\n"
     ]
    }
   ],
   "source": [
    "print(\"Simulation Execution 2: Pairwise Execution\")\n",
    "print()\n",
    "multi_proc_ctx = ExecutionContext(context=exec_mode.multi_proc)\n",
    "run2 = Executor(exec_context=multi_proc_ctx, configs=configs)\n",
    "results = []\n",
    "tensor_fields = []\n",
    "for raw_result, raw_tensor_field in run2.main():\n",
    "    results.append(pd.DataFrame(raw_result))\n",
    "    tensor_fields.append(pd.DataFrame(raw_tensor_field))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tensor Field A:\n"
     ]
    },
    {
     "data": {
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       "\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>b1</th>\n",
       "      <th>b2</th>\n",
       "      <th>s1</th>\n",
       "      <th>s2</th>\n",
       "      <th>es1</th>\n",
       "      <th>es2</th>\n",
       "      <th>es3</th>\n",
       "      <th>m</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>&lt;function b1m1 at 0x109f25d90&gt;</td>\n",
       "      <td>&lt;function b2m1 at 0x10a2fda60&gt;</td>\n",
       "      <td>&lt;function s1m1 at 0x10a2fdd08&gt;</td>\n",
       "      <td>&lt;function s2m1 at 0x10a2fdd90&gt;</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>&lt;function b1m2 at 0x10a2fdae8&gt;</td>\n",
       "      <td>&lt;function b2m2 at 0x10a2fdb70&gt;</td>\n",
       "      <td>&lt;function s1m2 at 0x10a2fde18&gt;</td>\n",
       "      <td>&lt;function s2m2 at 0x10a2fdea0&gt;</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>&lt;function b1m3 at 0x10a2fdbf8&gt;</td>\n",
       "      <td>&lt;function b2m3 at 0x10a2fdc80&gt;</td>\n",
       "      <td>&lt;function s1m3 at 0x10a2fdf28&gt;</td>\n",
       "      <td>&lt;function s2m3 at 0x10a308048&gt;</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                               b1                              b2  \\\n",
       "0  <function b1m1 at 0x109f25d90>  <function b2m1 at 0x10a2fda60>   \n",
       "1  <function b1m2 at 0x10a2fdae8>  <function b2m2 at 0x10a2fdb70>   \n",
       "2  <function b1m3 at 0x10a2fdbf8>  <function b2m3 at 0x10a2fdc80>   \n",
       "\n",
       "                               s1                              s2  \\\n",
       "0  <function s1m1 at 0x10a2fdd08>  <function s2m1 at 0x10a2fdd90>   \n",
       "1  <function s1m2 at 0x10a2fde18>  <function s2m2 at 0x10a2fdea0>   \n",
       "2  <function s1m3 at 0x10a2fdf28>  <function s2m3 at 0x10a308048>   \n",
       "\n",
       "                                                 es1  \\\n",
       "0  <function curried.<locals>._curried at 0x10a30...   \n",
       "1  <function curried.<locals>._curried at 0x10a30...   \n",
       "2  <function curried.<locals>._curried at 0x10a30...   \n",
       "\n",
       "                                                 es2  \\\n",
       "0  <function curried.<locals>._curried at 0x10a30...   \n",
       "1  <function curried.<locals>._curried at 0x10a30...   \n",
       "2  <function curried.<locals>._curried at 0x10a30...   \n",
       "\n",
       "                                                 es3  m  \n",
       "0  <function curried.<locals>._curried at 0x10a30...  1  \n",
       "1  <function curried.<locals>._curried at 0x10a30...  2  \n",
       "2  <function curried.<locals>._curried at 0x10a30...  3  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "print(\"Tensor Field A:\")\n",
    "tensor_fields[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Output A:\n"
     ]
    },
    {
     "data": {
      "text/html": [
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       "<style scoped>\n",
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       "\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>mech_step</th>\n",
       "      <th>run</th>\n",
       "      <th>s1</th>\n",
       "      <th>s2</th>\n",
       "      <th>s3</th>\n",
       "      <th>s4</th>\n",
       "      <th>time_step</th>\n",
       "      <th>timestamp</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2018-10-01 15:16:24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>2018-10-01 15:16:25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>ab</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>2018-10-01 15:16:25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>5</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>2018-10-01 15:16:25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>10.88462238049958452634768946</td>\n",
       "      <td>2</td>\n",
       "      <td>2018-10-01 15:16:26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>ab</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>10.88462238049958452634768946</td>\n",
       "      <td>2</td>\n",
       "      <td>2018-10-01 15:16:26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>5</td>\n",
       "      <td>10.88462238049958452634768946</td>\n",
       "      <td>2</td>\n",
       "      <td>2018-10-01 15:16:26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>11.84390378915460105928594240</td>\n",
       "      <td>3</td>\n",
       "      <td>2018-10-01 15:16:27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>ab</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>11.84390378915460105928594240</td>\n",
       "      <td>3</td>\n",
       "      <td>2018-10-01 15:16:27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>5</td>\n",
       "      <td>11.84390378915460105928594240</td>\n",
       "      <td>3</td>\n",
       "      <td>2018-10-01 15:16:27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>13.86870567779818175660086782</td>\n",
       "      <td>4</td>\n",
       "      <td>2018-10-01 15:16:28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>ab</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>13.86870567779818175660086782</td>\n",
       "      <td>4</td>\n",
       "      <td>2018-10-01 15:16:28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>5</td>\n",
       "      <td>13.86870567779818175660086782</td>\n",
       "      <td>4</td>\n",
       "      <td>2018-10-01 15:16:28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>13.93809586353209725047922068</td>\n",
       "      <td>5</td>\n",
       "      <td>2018-10-01 15:16:29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>ab</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>13.93809586353209725047922068</td>\n",
       "      <td>5</td>\n",
       "      <td>2018-10-01 15:16:29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>5</td>\n",
       "      <td>13.93809586353209725047922068</td>\n",
       "      <td>5</td>\n",
       "      <td>2018-10-01 15:16:29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2018-10-01 15:16:24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>2018-10-01 15:16:25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>ab</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>2018-10-01 15:16:25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>5</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>2018-10-01 15:16:25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>9.454640052380469672499430089</td>\n",
       "      <td>2</td>\n",
       "      <td>2018-10-01 15:16:26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>ab</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>9.454640052380469672499430089</td>\n",
       "      <td>2</td>\n",
       "      <td>2018-10-01 15:16:26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>5</td>\n",
       "      <td>9.454640052380469672499430089</td>\n",
       "      <td>2</td>\n",
       "      <td>2018-10-01 15:16:26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>7.992501415579613525253197635</td>\n",
       "      <td>3</td>\n",
       "      <td>2018-10-01 15:16:27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>ab</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>7.992501415579613525253197635</td>\n",
       "      <td>3</td>\n",
       "      <td>2018-10-01 15:16:27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>5</td>\n",
       "      <td>7.992501415579613525253197635</td>\n",
       "      <td>3</td>\n",
       "      <td>2018-10-01 15:16:27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>8.777658726472379268470333983</td>\n",
       "      <td>4</td>\n",
       "      <td>2018-10-01 15:16:28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>ab</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>8.777658726472379268470333983</td>\n",
       "      <td>4</td>\n",
       "      <td>2018-10-01 15:16:28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>5</td>\n",
       "      <td>8.777658726472379268470333983</td>\n",
       "      <td>4</td>\n",
       "      <td>2018-10-01 15:16:28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>7.811179137283953044810612028</td>\n",
       "      <td>5</td>\n",
       "      <td>2018-10-01 15:16:29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>ab</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>7.811179137283953044810612028</td>\n",
       "      <td>5</td>\n",
       "      <td>2018-10-01 15:16:29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>5</td>\n",
       "      <td>7.811179137283953044810612028</td>\n",
       "      <td>5</td>\n",
       "      <td>2018-10-01 15:16:29</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    mech_step  run      s1         s2 s3                             s4  \\\n",
       "0           0    1       0          0  1                              1   \n",
       "1           1    1       1          4  5                             10   \n",
       "2           2    1      ab          6  5                             10   \n",
       "3           3    1  [c, d]  [30, 300]  5                             10   \n",
       "4           1    1       1          4  5  10.88462238049958452634768946   \n",
       "5           2    1      ab          6  5  10.88462238049958452634768946   \n",
       "6           3    1  [c, d]  [30, 300]  5  10.88462238049958452634768946   \n",
       "7           1    1       1          4  5  11.84390378915460105928594240   \n",
       "8           2    1      ab          6  5  11.84390378915460105928594240   \n",
       "9           3    1  [c, d]  [30, 300]  5  11.84390378915460105928594240   \n",
       "10          1    1       1          4  5  13.86870567779818175660086782   \n",
       "11          2    1      ab          6  5  13.86870567779818175660086782   \n",
       "12          3    1  [c, d]  [30, 300]  5  13.86870567779818175660086782   \n",
       "13          1    1       1          4  5  13.93809586353209725047922068   \n",
       "14          2    1      ab          6  5  13.93809586353209725047922068   \n",
       "15          3    1  [c, d]  [30, 300]  5  13.93809586353209725047922068   \n",
       "16          0    2       0          0  1                              1   \n",
       "17          1    2       1          4  5                             10   \n",
       "18          2    2      ab          6  5                             10   \n",
       "19          3    2  [c, d]  [30, 300]  5                             10   \n",
       "20          1    2       1          4  5  9.454640052380469672499430089   \n",
       "21          2    2      ab          6  5  9.454640052380469672499430089   \n",
       "22          3    2  [c, d]  [30, 300]  5  9.454640052380469672499430089   \n",
       "23          1    2       1          4  5  7.992501415579613525253197635   \n",
       "24          2    2      ab          6  5  7.992501415579613525253197635   \n",
       "25          3    2  [c, d]  [30, 300]  5  7.992501415579613525253197635   \n",
       "26          1    2       1          4  5  8.777658726472379268470333983   \n",
       "27          2    2      ab          6  5  8.777658726472379268470333983   \n",
       "28          3    2  [c, d]  [30, 300]  5  8.777658726472379268470333983   \n",
       "29          1    2       1          4  5  7.811179137283953044810612028   \n",
       "30          2    2      ab          6  5  7.811179137283953044810612028   \n",
       "31          3    2  [c, d]  [30, 300]  5  7.811179137283953044810612028   \n",
       "\n",
       "    time_step            timestamp  \n",
       "0           0  2018-10-01 15:16:24  \n",
       "1           1  2018-10-01 15:16:25  \n",
       "2           1  2018-10-01 15:16:25  \n",
       "3           1  2018-10-01 15:16:25  \n",
       "4           2  2018-10-01 15:16:26  \n",
       "5           2  2018-10-01 15:16:26  \n",
       "6           2  2018-10-01 15:16:26  \n",
       "7           3  2018-10-01 15:16:27  \n",
       "8           3  2018-10-01 15:16:27  \n",
       "9           3  2018-10-01 15:16:27  \n",
       "10          4  2018-10-01 15:16:28  \n",
       "11          4  2018-10-01 15:16:28  \n",
       "12          4  2018-10-01 15:16:28  \n",
       "13          5  2018-10-01 15:16:29  \n",
       "14          5  2018-10-01 15:16:29  \n",
       "15          5  2018-10-01 15:16:29  \n",
       "16          0  2018-10-01 15:16:24  \n",
       "17          1  2018-10-01 15:16:25  \n",
       "18          1  2018-10-01 15:16:25  \n",
       "19          1  2018-10-01 15:16:25  \n",
       "20          2  2018-10-01 15:16:26  \n",
       "21          2  2018-10-01 15:16:26  \n",
       "22          2  2018-10-01 15:16:26  \n",
       "23          3  2018-10-01 15:16:27  \n",
       "24          3  2018-10-01 15:16:27  \n",
       "25          3  2018-10-01 15:16:27  \n",
       "26          4  2018-10-01 15:16:28  \n",
       "27          4  2018-10-01 15:16:28  \n",
       "28          4  2018-10-01 15:16:28  \n",
       "29          5  2018-10-01 15:16:29  \n",
       "30          5  2018-10-01 15:16:29  \n",
       "31          5  2018-10-01 15:16:29  "
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "print(\"Output A:\")\n",
    "results[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tensor Field B:\n"
     ]
    },
    {
     "data": {
      "text/html": [
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       "\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>b1</th>\n",
       "      <th>b2</th>\n",
       "      <th>s1</th>\n",
       "      <th>s2</th>\n",
       "      <th>es1</th>\n",
       "      <th>es2</th>\n",
       "      <th>es3</th>\n",
       "      <th>m</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>&lt;function b1m1 at 0x10a308488&gt;</td>\n",
       "      <td>&lt;bound method Identity.b_identity of &lt;SimCAD.c...</td>\n",
       "      <td>&lt;function s1m1 at 0x10a308950&gt;</td>\n",
       "      <td>&lt;function Identity.state_identity.&lt;locals&gt;.&lt;la...</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>&lt;function b1m2 at 0x10a308730&gt;</td>\n",
       "      <td>&lt;bound method Identity.b_identity of &lt;SimCAD.c...</td>\n",
       "      <td>&lt;function s1m2 at 0x10a308a60&gt;</td>\n",
       "      <td>&lt;function Identity.state_identity.&lt;locals&gt;.&lt;la...</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>&lt;function b1m3 at 0x10a308840&gt;</td>\n",
       "      <td>&lt;function b2m3 at 0x10a3088c8&gt;</td>\n",
       "      <td>&lt;function s1m3 at 0x10a308b70&gt;</td>\n",
       "      <td>&lt;function s2m3 at 0x10a308bf8&gt;</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>&lt;function curried.&lt;locals&gt;._curried at 0x10a30...</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                               b1  \\\n",
       "0  <function b1m1 at 0x10a308488>   \n",
       "1  <function b1m2 at 0x10a308730>   \n",
       "2  <function b1m3 at 0x10a308840>   \n",
       "\n",
       "                                                  b2  \\\n",
       "0  <bound method Identity.b_identity of <SimCAD.c...   \n",
       "1  <bound method Identity.b_identity of <SimCAD.c...   \n",
       "2                     <function b2m3 at 0x10a3088c8>   \n",
       "\n",
       "                               s1  \\\n",
       "0  <function s1m1 at 0x10a308950>   \n",
       "1  <function s1m2 at 0x10a308a60>   \n",
       "2  <function s1m3 at 0x10a308b70>   \n",
       "\n",
       "                                                  s2  \\\n",
       "0  <function Identity.state_identity.<locals>.<la...   \n",
       "1  <function Identity.state_identity.<locals>.<la...   \n",
       "2                     <function s2m3 at 0x10a308bf8>   \n",
       "\n",
       "                                                 es1  \\\n",
       "0  <function curried.<locals>._curried at 0x10a30...   \n",
       "1  <function curried.<locals>._curried at 0x10a30...   \n",
       "2  <function curried.<locals>._curried at 0x10a30...   \n",
       "\n",
       "                                                 es2  \\\n",
       "0  <function curried.<locals>._curried at 0x10a30...   \n",
       "1  <function curried.<locals>._curried at 0x10a30...   \n",
       "2  <function curried.<locals>._curried at 0x10a30...   \n",
       "\n",
       "                                                 es3  m  \n",
       "0  <function curried.<locals>._curried at 0x10a30...  1  \n",
       "1  <function curried.<locals>._curried at 0x10a30...  2  \n",
       "2  <function curried.<locals>._curried at 0x10a30...  3  "
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "print(\"Tensor Field B:\")\n",
    "tensor_fields[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Output B:\n"
     ]
    },
    {
     "data": {
      "text/html": [
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       "\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>mech_step</th>\n",
       "      <th>run</th>\n",
       "      <th>s1</th>\n",
       "      <th>s2</th>\n",
       "      <th>s3</th>\n",
       "      <th>s4</th>\n",
       "      <th>time_step</th>\n",
       "      <th>timestamp</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2018-10-01 15:16:24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>2018-10-01 15:16:25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>a</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>2018-10-01 15:16:25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>2018-10-01 15:16:25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>9.943733172773669970467835810</td>\n",
       "      <td>10.43650985051199020503531756</td>\n",
       "      <td>2</td>\n",
       "      <td>2018-10-01 15:16:26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>a</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>9.943733172773669970467835810</td>\n",
       "      <td>10.43650985051199020503531756</td>\n",
       "      <td>2</td>\n",
       "      <td>2018-10-01 15:16:26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>9.943733172773669970467835810</td>\n",
       "      <td>10.43650985051199020503531756</td>\n",
       "      <td>2</td>\n",
       "      <td>2018-10-01 15:16:26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>7.819556774768869265284526371</td>\n",
       "      <td>10.53721952812028761860248013</td>\n",
       "      <td>3</td>\n",
       "      <td>2018-10-01 15:16:27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>a</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>7.819556774768869265284526371</td>\n",
       "      <td>10.53721952812028761860248013</td>\n",
       "      <td>3</td>\n",
       "      <td>2018-10-01 15:16:27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>7.819556774768869265284526371</td>\n",
       "      <td>10.53721952812028761860248013</td>\n",
       "      <td>3</td>\n",
       "      <td>2018-10-01 15:16:27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>9.102175846000753312124925331</td>\n",
       "      <td>8.573616357680089499783223212</td>\n",
       "      <td>4</td>\n",
       "      <td>2018-10-01 15:16:28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>a</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>9.102175846000753312124925331</td>\n",
       "      <td>8.573616357680089499783223212</td>\n",
       "      <td>4</td>\n",
       "      <td>2018-10-01 15:16:28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>9.102175846000753312124925331</td>\n",
       "      <td>8.573616357680089499783223212</td>\n",
       "      <td>4</td>\n",
       "      <td>2018-10-01 15:16:28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>7.469759239508861972798095765</td>\n",
       "      <td>8.335794354629596453007093216</td>\n",
       "      <td>5</td>\n",
       "      <td>2018-10-01 15:16:29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>a</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>7.469759239508861972798095765</td>\n",
       "      <td>8.335794354629596453007093216</td>\n",
       "      <td>5</td>\n",
       "      <td>2018-10-01 15:16:29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>7.469759239508861972798095765</td>\n",
       "      <td>8.335794354629596453007093216</td>\n",
       "      <td>5</td>\n",
       "      <td>2018-10-01 15:16:29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2018-10-01 15:16:24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>2018-10-01 15:16:25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>a</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>2018-10-01 15:16:25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>2018-10-01 15:16:25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>10.50288141715804313136573001</td>\n",
       "      <td>9.917258518517539922498826854</td>\n",
       "      <td>2</td>\n",
       "      <td>2018-10-01 15:16:26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>a</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>10.50288141715804313136573001</td>\n",
       "      <td>9.917258518517539922498826854</td>\n",
       "      <td>2</td>\n",
       "      <td>2018-10-01 15:16:26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>10.50288141715804313136573001</td>\n",
       "      <td>9.917258518517539922498826854</td>\n",
       "      <td>2</td>\n",
       "      <td>2018-10-01 15:16:26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>9.194970106774504549722066426</td>\n",
       "      <td>9.295445738182783098967212172</td>\n",
       "      <td>3</td>\n",
       "      <td>2018-10-01 15:16:27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>a</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>9.194970106774504549722066426</td>\n",
       "      <td>9.295445738182783098967212172</td>\n",
       "      <td>3</td>\n",
       "      <td>2018-10-01 15:16:27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>9.194970106774504549722066426</td>\n",
       "      <td>9.295445738182783098967212172</td>\n",
       "      <td>3</td>\n",
       "      <td>2018-10-01 15:16:27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>8.222186204091007892903999658</td>\n",
       "      <td>9.254714796976556134819588883</td>\n",
       "      <td>4</td>\n",
       "      <td>2018-10-01 15:16:28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>a</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>8.222186204091007892903999658</td>\n",
       "      <td>9.254714796976556134819588883</td>\n",
       "      <td>4</td>\n",
       "      <td>2018-10-01 15:16:28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>8.222186204091007892903999658</td>\n",
       "      <td>9.254714796976556134819588883</td>\n",
       "      <td>4</td>\n",
       "      <td>2018-10-01 15:16:28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>7.474783217004487060973175797</td>\n",
       "      <td>8.813063120281346104256259818</td>\n",
       "      <td>5</td>\n",
       "      <td>2018-10-01 15:16:29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>a</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>7.474783217004487060973175797</td>\n",
       "      <td>8.813063120281346104256259818</td>\n",
       "      <td>5</td>\n",
       "      <td>2018-10-01 15:16:29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>[c, d]</td>\n",
       "      <td>[30, 300]</td>\n",
       "      <td>7.474783217004487060973175797</td>\n",
       "      <td>8.813063120281346104256259818</td>\n",
       "      <td>5</td>\n",
       "      <td>2018-10-01 15:16:29</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    mech_step  run      s1         s2                             s3  \\\n",
       "0           0    1       0          0                              1   \n",
       "1           1    1       1          0                             10   \n",
       "2           2    1       a          0                             10   \n",
       "3           3    1  [c, d]  [30, 300]                             10   \n",
       "4           1    1       1  [30, 300]  9.943733172773669970467835810   \n",
       "5           2    1       a  [30, 300]  9.943733172773669970467835810   \n",
       "6           3    1  [c, d]  [30, 300]  9.943733172773669970467835810   \n",
       "7           1    1       1  [30, 300]  7.819556774768869265284526371   \n",
       "8           2    1       a  [30, 300]  7.819556774768869265284526371   \n",
       "9           3    1  [c, d]  [30, 300]  7.819556774768869265284526371   \n",
       "10          1    1       1  [30, 300]  9.102175846000753312124925331   \n",
       "11          2    1       a  [30, 300]  9.102175846000753312124925331   \n",
       "12          3    1  [c, d]  [30, 300]  9.102175846000753312124925331   \n",
       "13          1    1       1  [30, 300]  7.469759239508861972798095765   \n",
       "14          2    1       a  [30, 300]  7.469759239508861972798095765   \n",
       "15          3    1  [c, d]  [30, 300]  7.469759239508861972798095765   \n",
       "16          0    2       0          0                              1   \n",
       "17          1    2       1          0                             10   \n",
       "18          2    2       a          0                             10   \n",
       "19          3    2  [c, d]  [30, 300]                             10   \n",
       "20          1    2       1  [30, 300]  10.50288141715804313136573001   \n",
       "21          2    2       a  [30, 300]  10.50288141715804313136573001   \n",
       "22          3    2  [c, d]  [30, 300]  10.50288141715804313136573001   \n",
       "23          1    2       1  [30, 300]  9.194970106774504549722066426   \n",
       "24          2    2       a  [30, 300]  9.194970106774504549722066426   \n",
       "25          3    2  [c, d]  [30, 300]  9.194970106774504549722066426   \n",
       "26          1    2       1  [30, 300]  8.222186204091007892903999658   \n",
       "27          2    2       a  [30, 300]  8.222186204091007892903999658   \n",
       "28          3    2  [c, d]  [30, 300]  8.222186204091007892903999658   \n",
       "29          1    2       1  [30, 300]  7.474783217004487060973175797   \n",
       "30          2    2       a  [30, 300]  7.474783217004487060973175797   \n",
       "31          3    2  [c, d]  [30, 300]  7.474783217004487060973175797   \n",
       "\n",
       "                               s4  time_step            timestamp  \n",
       "0                               1          0  2018-10-01 15:16:24  \n",
       "1                              10          1  2018-10-01 15:16:25  \n",
       "2                              10          1  2018-10-01 15:16:25  \n",
       "3                              10          1  2018-10-01 15:16:25  \n",
       "4   10.43650985051199020503531756          2  2018-10-01 15:16:26  \n",
       "5   10.43650985051199020503531756          2  2018-10-01 15:16:26  \n",
       "6   10.43650985051199020503531756          2  2018-10-01 15:16:26  \n",
       "7   10.53721952812028761860248013          3  2018-10-01 15:16:27  \n",
       "8   10.53721952812028761860248013          3  2018-10-01 15:16:27  \n",
       "9   10.53721952812028761860248013          3  2018-10-01 15:16:27  \n",
       "10  8.573616357680089499783223212          4  2018-10-01 15:16:28  \n",
       "11  8.573616357680089499783223212          4  2018-10-01 15:16:28  \n",
       "12  8.573616357680089499783223212          4  2018-10-01 15:16:28  \n",
       "13  8.335794354629596453007093216          5  2018-10-01 15:16:29  \n",
       "14  8.335794354629596453007093216          5  2018-10-01 15:16:29  \n",
       "15  8.335794354629596453007093216          5  2018-10-01 15:16:29  \n",
       "16                              1          0  2018-10-01 15:16:24  \n",
       "17                             10          1  2018-10-01 15:16:25  \n",
       "18                             10          1  2018-10-01 15:16:25  \n",
       "19                             10          1  2018-10-01 15:16:25  \n",
       "20  9.917258518517539922498826854          2  2018-10-01 15:16:26  \n",
       "21  9.917258518517539922498826854          2  2018-10-01 15:16:26  \n",
       "22  9.917258518517539922498826854          2  2018-10-01 15:16:26  \n",
       "23  9.295445738182783098967212172          3  2018-10-01 15:16:27  \n",
       "24  9.295445738182783098967212172          3  2018-10-01 15:16:27  \n",
       "25  9.295445738182783098967212172          3  2018-10-01 15:16:27  \n",
       "26  9.254714796976556134819588883          4  2018-10-01 15:16:28  \n",
       "27  9.254714796976556134819588883          4  2018-10-01 15:16:28  \n",
       "28  9.254714796976556134819588883          4  2018-10-01 15:16:28  \n",
       "29  8.813063120281346104256259818          5  2018-10-01 15:16:29  \n",
       "30  8.813063120281346104256259818          5  2018-10-01 15:16:29  \n",
       "31  8.813063120281346104256259818          5  2018-10-01 15:16:29  "
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "print(\"Output B:\")\n",
    "results[1]"
   ]
  }
 ],
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