From 4385a64925258d6204a64b05e4b1fcd1532d40fc Mon Sep 17 00:00:00 2001
From: Peter <peter@armnova>
Date: Mon, 30 Oct 2023 16:19:47 -0400
Subject: [PATCH] fix tests

---
 tests/test_menagerie.py            |  2 +-
 tests/test_rotation_conversions.py |  5 ++--
 tests/viz_fk_perf.ipynb            | 46 ++++++++++++++++--------------
 3 files changed, 29 insertions(+), 24 deletions(-)

diff --git a/tests/test_menagerie.py b/tests/test_menagerie.py
index bab88d2..6d7ae4b 100644
--- a/tests/test_menagerie.py
+++ b/tests/test_menagerie.py
@@ -44,7 +44,7 @@ def test_menagerie():
         print(f"\t {chain.get_frame_names()}")
         print(f"\t {chain.get_joint_parameter_names()}")
         th = np.zeros(len(chain.get_joint_parameter_names()))
-        fk_dict = chain.forward_kinematics(th, end_only=True)
+        fk_dict = chain.forward_kinematics(th)
 
 
 if __name__ == '__main__':
diff --git a/tests/test_rotation_conversions.py b/tests/test_rotation_conversions.py
index 6b2fc7f..6cc7c90 100644
--- a/tests/test_rotation_conversions.py
+++ b/tests/test_rotation_conversions.py
@@ -11,8 +11,9 @@ def test_axis_angle_to_matrix_perf():
     number = 100
     N = 1_000
 
-    axis_angle = torch.randn([N, 3], device='cuda', dtype=torch.float64)
-    axis_1d = torch.tensor([1., 0, 0], device='cuda', dtype=torch.float64)  # in the FK code this is NOT batched!
+    device = 'cuda' if torch.cuda.is_available() else 'cpu'
+    axis_angle = torch.randn([N, 3], device=device, dtype=torch.float64)
+    axis_1d = torch.tensor([1., 0, 0], device=device, dtype=torch.float64)  # in the FK code this is NOT batched!
     theta = axis_angle.norm(dim=1, keepdim=True)
 
     dt1 = timeit.timeit(lambda: axis_angle_to_matrix(axis_angle), number=number)
diff --git a/tests/viz_fk_perf.ipynb b/tests/viz_fk_perf.ipynb
index aebc37f..6114825 100644
--- a/tests/viz_fk_perf.ipynb
+++ b/tests/viz_fk_perf.ipynb
@@ -2,11 +2,11 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 13,
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2023-10-30T15:54:53.172705657Z",
-     "start_time": "2023-10-30T15:54:53.163263254Z"
+     "end_time": "2023-10-30T16:15:27.994729591Z",
+     "start_time": "2023-10-30T16:15:27.993707047Z"
     }
    },
    "outputs": [
@@ -15,7 +15,7 @@
       "text/plain": "        chain device          dtype  batch_size      time    time/batch\n0         val    cpu  torch.float32           1  0.001706  1.705588e-03\n1         val    cpu  torch.float32          10  0.001854  1.854159e-04\n2         val    cpu  torch.float32         100  0.002467  2.466516e-05\n3         val    cpu  torch.float32        1000  0.006334  6.334178e-06\n4         val    cpu  torch.float32       10000  0.024186  2.418595e-06\n..        ...    ...            ...         ...       ...           ...\n67  kuka_iiwa   cuda  torch.float64          10  0.001017  1.016614e-04\n68  kuka_iiwa   cuda  torch.float64         100  0.001018  1.017745e-05\n69  kuka_iiwa   cuda  torch.float64        1000  0.001307  1.307084e-06\n70  kuka_iiwa   cuda  torch.float64       10000  0.005168  5.168081e-07\n71  kuka_iiwa   cuda  torch.float64      100000  0.048497  4.849671e-07\n\n[72 rows x 6 columns]",
       "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>chain</th>\n      <th>device</th>\n      <th>dtype</th>\n      <th>batch_size</th>\n      <th>time</th>\n      <th>time/batch</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>val</td>\n      <td>cpu</td>\n      <td>torch.float32</td>\n      <td>1</td>\n      <td>0.001706</td>\n      <td>1.705588e-03</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>val</td>\n      <td>cpu</td>\n      <td>torch.float32</td>\n      <td>10</td>\n      <td>0.001854</td>\n      <td>1.854159e-04</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>val</td>\n      <td>cpu</td>\n      <td>torch.float32</td>\n      <td>100</td>\n      <td>0.002467</td>\n      <td>2.466516e-05</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>val</td>\n      <td>cpu</td>\n      <td>torch.float32</td>\n      <td>1000</td>\n      <td>0.006334</td>\n      <td>6.334178e-06</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>val</td>\n      <td>cpu</td>\n      <td>torch.float32</td>\n      <td>10000</td>\n      <td>0.024186</td>\n      <td>2.418595e-06</td>\n    </tr>\n    <tr>\n      <th>...</th>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n      <td>...</td>\n    </tr>\n    <tr>\n      <th>67</th>\n      <td>kuka_iiwa</td>\n      <td>cuda</td>\n      <td>torch.float64</td>\n      <td>10</td>\n      <td>0.001017</td>\n      <td>1.016614e-04</td>\n    </tr>\n    <tr>\n      <th>68</th>\n      <td>kuka_iiwa</td>\n      <td>cuda</td>\n      <td>torch.float64</td>\n      <td>100</td>\n      <td>0.001018</td>\n      <td>1.017745e-05</td>\n    </tr>\n    <tr>\n      <th>69</th>\n      <td>kuka_iiwa</td>\n      <td>cuda</td>\n      <td>torch.float64</td>\n      <td>1000</td>\n      <td>0.001307</td>\n      <td>1.307084e-06</td>\n    </tr>\n    <tr>\n      <th>70</th>\n      <td>kuka_iiwa</td>\n      <td>cuda</td>\n      <td>torch.float64</td>\n      <td>10000</td>\n      <td>0.005168</td>\n      <td>5.168081e-07</td>\n    </tr>\n    <tr>\n      <th>71</th>\n      <td>kuka_iiwa</td>\n      <td>cuda</td>\n      <td>torch.float64</td>\n      <td>100000</td>\n      <td>0.048497</td>\n      <td>4.849671e-07</td>\n    </tr>\n  </tbody>\n</table>\n<p>72 rows × 6 columns</p>\n</div>"
      },
-     "execution_count": 12,
+     "execution_count": 13,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -40,11 +40,11 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 14,
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2023-10-30T15:53:26.027815315Z",
-     "start_time": "2023-10-30T15:53:25.589229733Z"
+     "end_time": "2023-10-30T16:15:28.606199427Z",
+     "start_time": "2023-10-30T16:15:27.993916371Z"
     }
    },
    "outputs": [
@@ -52,14 +52,14 @@
      "data": {
       "text/plain": "<Axes: xlabel='batch_size', ylabel='time'>"
      },
-     "execution_count": 10,
+     "execution_count": 14,
      "metadata": {},
      "output_type": "execute_result"
     },
     {
      "data": {
       "text/plain": "<Figure size 640x480 with 1 Axes>",
-      "image/png": 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"
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"
      },
      "metadata": {},
      "output_type": "display_data"
@@ -78,11 +78,11 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 15,
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2023-10-30T15:50:59.675330801Z",
-     "start_time": "2023-10-30T15:50:59.556414795Z"
+     "end_time": "2023-10-30T16:15:28.712570761Z",
+     "start_time": "2023-10-30T16:15:28.600077822Z"
     }
    },
    "outputs": [
@@ -90,14 +90,14 @@
      "data": {
       "text/plain": "<Axes: xlabel='chain', ylabel='time'>"
      },
-     "execution_count": 8,
+     "execution_count": 15,
      "metadata": {},
      "output_type": "execute_result"
     },
     {
      "data": {
       "text/plain": "<Figure size 640x480 with 1 Axes>",
-      "image/png": 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"
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sbHXo0MH3mNvtVnFxscLDw5t+hgAAAE2swQH04YcfSrpyBqi0tLTWByD6+/srPDxcM2bMaPoZAgAANLEGB9DGjRslSQsWLNBTTz3F290BAECb1egPQvz6UhgAAEBb1eiboAEAANo6AggAABiHAAIAAMYhgAAAgHEIIAAAYBwCCAAAGIcAAgAAxiGAAACAcQggAABgHAIIAAAYhwACAADGIYAAAIBxCCAAAGCcVhFAmzdvVlxcnCIiIjR16lQVFxdfc/zevXsVHx+viIgIJSQkaP/+/b7HLl++rOeff14JCQmKjIxUTEyMMjIydO7cueY+DAAA0EZYHkB79uxRZmam0tLSlJ+fr/DwcKWmpsrpdNY7/vDhw5o3b56mTJmiHTt2aPTo0UpLS1Npaakk6csvv9SHH36o2bNna/v27XrhhRd04sQJzZ49uyUPCwAAtGKWB1Bubq4SExM1efJk9e3bV4sXL1ZAQIC2bdtW7/i8vDzFxsZq5syZCg0NVXp6ugYMGKBNmzZJkjp27Kjc3FyNGzdOt99+uyIjI/X000+rpKREZ86caclDAwAArVQ7K1+8pqZGJSUlmjVrlm+b3W5XdHS0jhw5Uu8+RUVFmj59eq1tMTEx2rdv31Vfp6qqSjabTZ06dWrU/Gy2Rg0HGoR1hdaGNYnvisasZUsDyOVyye12KygoqNb2oKAgHT9+vN59KioqFBwcXGd8RUVFveP/9a9/KSsrS+PHj9ctt9zSqPkFBXVs1HjgPwkMvNnqKQC1sCZhKksDqLldvnxZ//M//yOv16vFixc3en+n8wt5vdf32g6HnV8sqMPluii322PJa7MmUR8r1yTQ1Gy2hp+8sDSAAgMD5XA46tzw7HQ665zl+VpwcHCdsz31jb98+bLS09N15swZbdiwodFnfyTJ69V1BxBwNawptDasSZjI0pug/f39NXDgQBUWFvq2eTweFRYWasiQIfXuExkZqYMHD9baVlBQoMjISN/PX8fPJ598ovXr1yswMLBZ5g8AANomy98FlpKSoq1btyo/P19lZWVatGiRqqurNWnSJElSRkaGli1b5hs/bdo0HThwQOvWrVNZWZlycnJ09OhRJSUlSboSP4899piOHj2qrKwsud1ulZeXq7y8XDU1NZYcIwAAaF0svwdo3Lhxqqys1MqVK1VeXq7+/ftr7dq1vktaZ8+eld3+704bOnSosrKylJ2dreXLlyskJESrVq1Sv379JEnnzp3TW2+9JUmaOHFirdfKy8vT8OHDW+jIAABAa2V5AElSUlKS7wzOt23cuLHOtrFjx2rs2LH1ju/Vq5c++uijJp0fAAD4brH8EhgAAEBLI4AAAIBxCCAAAGAcAggAABiHAAIAAMYhgAAAgHEIIAAAYBwCCAAAGIcAAgAAxiGAAACAcQggAABgHAIIAAAYhwACAADGIYAAAIBxCCAAAGAcAggAABiHAAIAAMYhgAAAgHEIIAAAYBwCCAAAGIcAAgAAxiGAAACAcQggAABgHAIIAAAYhwACAADGIYAAAIBxCCAAAGAcAggAABiHAAIAAMYhgAAAgHEIIAAAYBwCCAAAGIcAAgAAxiGAAACAcQggAABgHAIIAAAYhwACAADGIYAAAIBxCCAAAGAcAggAABiHAAIAAMYhgAAAgHEIIAAAYBwCCAAAGIcAAgAAxiGAAACAcQggAABgHAIIAAAYhwACAADGIYAAAIBxCCAAAGAcAggAABiHAAIAAMYhgAAAgHEIIAAAYJx2Vk8AAGAuu90mu91m9TTQSng8Xnk83hZ5LQIIAGAJu92mLl1uksPBxQhc4XZ7dP78pRaJIAIIAGAJu90mh8OuX71yQCc++9zq6cBifW7trCUPx8putxFAAIDvvhOffa6/n660ehowDOcdAQCAcQggAABgHAIIAAAYhwACAADGIYAAAIBxLA+gzZs3Ky4uThEREZo6daqKi4uvOX7v3r2Kj49XRESEEhIStH///lqPv/nmm5oxY4aGDx+usLAwHTt2rDmnDwAA2iBLA2jPnj3KzMxUWlqa8vPzFR4ertTUVDmdznrHHz58WPPmzdOUKVO0Y8cOjR49WmlpaSotLfWNuXTpkoYOHapf/vKXLXUYAACgjbE0gHJzc5WYmKjJkyerb9++Wrx4sQICArRt27Z6x+fl5Sk2NlYzZ85UaGio0tPTNWDAAG3atMk35oEHHtDPf/5zjRgxoqUOAwAAtDGWBVBNTY1KSkoUHR3978nY7YqOjtaRI0fq3aeoqKhO2MTExKioqKhZ5mizXf//gKu5kXXFmkRzYE2itWmJdWXZJ0G7XC653W4FBQXV2h4UFKTjx4/Xu09FRYWCg4PrjK+oqGiWOQYFdWyW54W5AgNvtnoKQC2sSbQ2LbUm+SqMa3A6v5D3Or+OxOGw84sFdbhcF+V2eyx5bdYk6sOaRGtzI2vSZmv4yQvLAigwMFAOh6PODc9Op7POWZ6vBQcH1znbc63xN8rr1XUHEHA1rCm0NqxJtDYtsSYtuwfI399fAwcOVGFhoW+bx+NRYWGhhgwZUu8+kZGROnjwYK1tBQUFioyMbM6pAgCA7xhL3wWWkpKirVu3Kj8/X2VlZVq0aJGqq6s1adIkSVJGRoaWLVvmGz9t2jQdOHBA69atU1lZmXJycnT06FElJSX5xpw/f17Hjh1TWVmZJOnEiRM6duyYysvLW/bgAABAq2XpPUDjxo1TZWWlVq5cqfLycvXv319r1671XdI6e/as7PZ/N9rQoUOVlZWl7OxsLV++XCEhIVq1apX69evnG/PWW29pwYIFvp8ff/xxSdLPf/5z/eIXv2ihIwMAAK2Z5TdBJyUl1TqD800bN26ss23s2LEaO3bsVZ9v0qRJvjNIAAAA9bH8qzAAAABaGgEEAACMQwABAADjEEAAAMA4BBAAADAOAQQAAIxDAAEAAOMQQAAAwDgEEAAAMA4BBAAAjEMAAQAA4xBAAADAOAQQAAAwDgEEAACMQwABAADjEEAAAMA4BBAAADAOAQQAAIxDAAEAAOMQQAAAwDgEEAAAMA4BBAAAjEMAAQAA4xBAAADAOAQQAAAwDgEEAACMQwABAADjEEAAAMA4BBAAADAOAQQAAIxDAAEAAOMQQAAAwDgEEAAAMA4BBAAAjEMAAQAA4xBAAADAOAQQAAAwDgEEAACMQwABAADjEEAAAMA4BBAAADAOAQQAAIxDAAEAAOMQQAAAwDgEEAAAMA4BBAAAjEMAAQAA4xBAAADAOAQQAAAwDgEEAACMQwABAADjEEAAAMA4BBAAADAOAQQAAIxDAAEAAOMQQAAAwDgEEAAAMA4BBAAAjEMAAQAA4xBAAADAOAQQAAAwDgEEAACMQwABAADjEEAAAMA4rSKANm/erLi4OEVERGjq1KkqLi6+5vi9e/cqPj5eERERSkhI0P79+2s97vV69b//+7+KiYnRnXfeqenTp+vkyZPNeAQAAKAtsTyA9uzZo8zMTKWlpSk/P1/h4eFKTU2V0+msd/zhw4c1b948TZkyRTt27NDo0aOVlpam0tJS35g1a9Zo48aNWrRokbZu3aoOHTooNTVV//rXv1rqsAAAQCtmeQDl5uYqMTFRkydPVt++fbV48WIFBARo27Zt9Y7Py8tTbGysZs6cqdDQUKWnp2vAgAHatGmTpCtnf/Ly8jR79myNGTNG4eHh+v3vf6/PPvtM+/bta8lDAwAArZSlAVRTU6OSkhJFR0f7ttntdkVHR+vIkSP17lNUVKQRI0bU2hYTE6OioiJJ0qlTp1ReXl7rOTt27KjBgwdf9TkBAIBZ2ln54i6XS263W0FBQbW2BwUF6fjx4/XuU1FRoeDg4DrjKyoqJEnl5eW+bVcb01B2u+T1NmqXOsJ7dFUHf0v/b0Yr0Du4k+/PdovPu7ImIbEm0fo0xZq02Ro+lhV3DV27drzh53g6Mfo/D4IxAgNvtnoKrEnUwppEa9NSa9LS7g8MDJTD4ahzw7PT6axzludrwcHBdc7kfHN8t27dfNsa+pwAAMAslgaQv7+/Bg4cqMLCQt82j8ejwsJCDRkypN59IiMjdfDgwVrbCgoKFBkZKUnq1auXunXrVus5q6qq9MEHH1z1OQEAgFksfxdYSkqKtm7dqvz8fJWVlWnRokWqrq7WpEmTJEkZGRlatmyZb/y0adN04MABrVu3TmVlZcrJydHRo0eVlJQkSbLZbJo2bZpefPFF/fnPf9ZHH32kjIwM3XrrrRozZowlxwgAAFoXy+8BGjdunCorK7Vy5UqVl5erf//+Wrt2re9y1dmzZ2X/xt1QQ4cOVVZWlrKzs7V8+XKFhIRo1apV6tevn2/MI488ourqaj3zzDO6cOGC7rrrLq1du1bt27dv8eMDAACtj83rvdH3OQEAALQtll8CAwAAaGkEEAAAMA4BBAAAjEMAwVJxcXFav3691dNAG2T12nnyySc1Z86cBo8/deqUwsLCdOzYsWacFa5XcnKynn322eva95133lFYWJguXLjQxLO64ttzs3rtf1dY/i4wAGiLnnrqKfEeErSEnJwctWv377+u//jHP6pDhw4Wzui7gQACgEZwu92y2Wzq2PHGvyoHaIguXbrU+rlr167WTOQ7hktguG5btmxRTEyMPB5Pre2zZ8/WggUL9Omnn2r27NmKjo7WkCFDNHnyZBUUFFg0W7QmLbl2vF6vcnJyNGrUKA0aNEgxMTFasmSJ7/Gamho999xzio2NVWRkpKZOnap33nnH9/j27dsVFRWlP//5zxo3bpwiIiJ05syZOpfA/vrXv+onP/mJoqKiNHz4cM2aNUuffvrpdc0Z1nv77bd111136cUXX6xz6fLChQsKCwurtU6+qbq6WjNnztRDDz2kCxcuyOVyae7cuYqNjdXgwYOVkJCg3bt3N3gu17oE9txzz2nWrFm+x9avX6+wsDD99a9/9W2777779Oqrr0qSiouLlZKSouHDh+uuu+5SUlKSSkpKGjyX7xICCNctPj5e58+fr/VL4Pz58zpw4IAmTJigS5cuaeTIkVq/fr3y8/MVGxurRx99VGfOnLFw1mgNWnLtvPHGG1q/fr0WL16sN998U3/4wx9qfXDqb37zGx05ckQrVqzQzp07FR8fr5kzZ+rkyZO+MV9++aXWrFmjJUuWaPfu3QoKCqrzOtXV1UpJSdG2bdu0fv162Ww2paWl1Yk8tH67du3S3LlzlZWVpYSEhEbte+HCBaWkpMjr9So3N1edOnVSTU2NBg4cqJdeekm7d+9WYmKiMjIyVFxcfMNzHTZsmN5//3253W5J0rvvvqvAwEAdOnRIknTu3Dl9+umnuvvuuyVJFy9e1AMPPKBXXnlFW7duVe/evfXf//3fqqqquuG5tDVcAsN169y5s374wx9q165dGjFihKQrf9kEBgZq+PDhstvtCg8P941PT0/Xvn379NZbb/m+ugRmasm1c/bsWQUHBys6Olp+fn7q0aOH7rzzTknSmTNntH37dv3lL39R9+7dJUmpqak6cOCAtm/frrlz50qSLl++rEWLFtWa07f913/9V62fly5dqhEjRugf//hHreBC67Z582atWLFCq1ev1t13361Tp041eN/y8nI9/vjjCgkJUVZWlvz9/SVJ3bt3V2pqqm9ccnKy/va3v2nv3r2+tXi9oqKidPHiRX344YcaNGiQ3nvvPaWmpmrfvn2Srtyg3b17d/Xu3VuSfP+9fe23v/2toqKi9O677+ree++9obm0NQQQbkhCQoKefvppLVq0SP7+/tq1a5fGjx8vu92uixcv6oUXXtDbb7+t8vJyud1uffnll5wBgqSWWzvx8fHasGGDxowZo9jYWI0cOVL33nuv2rVrp9LSUrndbsXHx9fap6amptZ9F35+fgoLC7vm65w8eVIrV67UBx98IJfL5btB+uzZswRQG/HGG2+osrJSr7zyynWFyYwZM3TnnXdqxYoVcjgcvu1ut1urV6/W66+/rnPnzuny5cuqqalRQEDADc+5U6dOCg8P16FDh+Tn5yc/Pz8lJiZq5cqVunjxot59910NGzbMN76iokLZ2dk6dOiQnE6nPB6Pqqurjfy9TADhhsTFxelXv/qV3n77bUVEROi9997TggULJF25Nl1QUKD58+frBz/4gQICAvTYY4/p8uXLFs8arUFLrZ3vf//7ev3111VQUKCCggItXrxYL7/8sjZu3KhLly7J4XBo27Zttf7CkqSbbrrJ9+eAgADZbLZrvs6jjz6qnj17asmSJbr11lvl8Xh0//33s97bkAEDBqikpETbtm1TRESEbDab77sov/mOv6+++qre/UeOHKk333xT//jHP2oF88svv6y8vDwtXLhQYWFh6tChg5YuXdpka+Puu+/WoUOH5O/vr2HDhqlLly4KDQ3V+++/r0OHDmnGjBm+sfPnz9f58+f11FNPqUePHvL399ePf/xjI9cpAYQb0r59e/3oRz/Srl279Mknn6hPnz4aOHCgJOnIkSN68MEHdd9990m6cu359OnTVk4XrUhLrp2AgADFxcUpLi5ODz/8sMaOHavS0lL1799fbrdblZWVioqKuu7nd7lcOnHihJYsWeJ7nvfee++6nw/WuO222zR//nwlJyfL4XDomWee8b3jqry83Dfuap/l9Mtf/lI333yzpk+fro0bN6pv376SpMOHD2v06NGaOHGiJMnj8ejkyZMKDQ1tknkPGzbMF/GxsbGSrkTRa6+9ppMnT/ru//l6Lr/+9a81cuRISVfOULpcriaZR1tDAOGGJSQkaNasWfr44481YcIE3/bevXvrT3/6k+Li4mSz2ZSdnc0NoailJdbO9u3b5Xa7NXjwYHXo0EE7d+5UQECAevToocDAQCUkJCgjI0NPPvmk+vfvL5fLpcLCQoWFhWnUqFENeo3OnTurS5cu2rJli7p166YzZ85o2bJl1zVfWKtPnz7Ky8vTtGnT5HA49NRTTykyMlIvvfSSevXqJafTqezs7KvuP3/+fLndbv3sZz9TXl6eQkND1bt3b73xxhs6fPiwOnfurNzcXFVUVDRpAF28eFFvv/225s2bJ0kaPny4HnvsMXXr1k19+vTxjQ0JCdHOnTsVERGhqqoq/f73v2+SS3FtEe8Cww2755571LlzZ504caLWOyaefPJJderUSQ899JAeffRRxcbG+v6FD0gts3Y6deqkV199VT/5yU80YcIEFRYWavXq1QoMDJQkZWZm6oEHHtDvfvc7jR07VnPmzNH//d//6fvf/36DX8Nut2vFihUqKSnR/fffr8zMTGVkZFzXfGG922+/XRs2bNBrr72m3/3ud1q6dKncbrcmTZqkpUuXKj09/Zr7L1y4UGPHjtXPfvYznThxQrNnz9aAAQOUmpqq5ORkBQcHa8yYMU02386dO6tfv37q2rWrL6qioqLk8Xhqnf2RpGeffVaff/65HnzwQWVkZCg5ObnedzWawOblo0wBAIBhOAMEAACMwz1AANq0nTt36te//nW9j/Xo0UOvvfZaC88IaLgzZ85o/PjxV338tddeU48ePVpwRubgEhiANq2qqkpOp7Pex9q1a6eePXu28IyAhvvqq6+u+Q7Hnj171voiVDQdAggAABiHe4AAAIBxCCAAAGAcAggAABiHAAIAAMYhgAB8J5w6dUphYWFX/Z6mhkpOTtazzz7bRLMC0Frx3joA+IacnBzedgwYgP/KAeAbunTpYvUUALQALoEBaFM8Ho/WrFmj++67T4MGDdKoUaP04osv+h7/5z//qeTkZA0ePFgTJkzQkSNHfI+5XC7NnTtXsbGxGjx4sBISErR79+5az//tS2BxcXFavXq1FixYoCFDhmjUqFHasmVL8x8ogGZFAAFoU5YtW6Y1a9Zozpw52rNnj7KyshQcHOx7fMWKFUpNTdWOHTsUEhKiefPm6auvvpIk1dTUaODAgXrppZe0e/duJSYmKiMjQ8XFxdd8zdzcXA0aNEg7duzQww8/rEWLFun48ePNepwAmhcBBKDNqKqqUl5enp544gk9+OCD+sEPfqCoqChNnTrVN2bGjBkaNWqU+vTpo8cee0ynT5/WJ598Iknq3r27UlNT1b9/f912221KTk5WbGys9u7de83X/eEPf6if/vSn6t27tx555BEFBgbqnXfeadZjBdC8uAcIQJtx/Phx1dTU6J577rnqmLCwMN+fu3XrJkmqrKxUaGio3G63Vq9erddff13nzp3T5cuXVVNTo4CAgGu+7jef02azKTg4+KrfPwagbSCAALQZ7du3/49j/Pz8fH+22WySrtw3JEkvv/yy8vLytHDhQoWFhalDhw5aunSpLl++fM3n/Pa7wmw2m/gaRaBtI4AAtBkhISEKCAjQwYMHddtttzV6/8OHD2v06NGaOHGipCthdPLkSYWGhjb1VAG0cgQQgDajffv2euSRR/T888/Lz89PQ4cOVWVlpT7++GONGDHiP+7fu3dvvfHGGzp8+LA6d+6s3NxcVVRUEECAgQggAG3KnDlz5HA4tHLlSn322Wfq1q2bHnrooQbtO3v2bP3zn/9UamqqOnTooMTERI0ZM0ZffPFFM88aQGtj83IhGwAAGIa3wQMAAOMQQAAAwDgEEAAAMA4BBAAAjEMAAQAA4xBAAADAOAQQAAAwDgEEAACMQwABAADjEEAAAMA4BBAAADAOAQQAAIzz/2TFFlzpB4sZAAAAAElFTkSuQmCC"
      },
      "metadata": {},
      "output_type": "display_data"
@@ -111,20 +111,20 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 16,
    "outputs": [
     {
      "data": {
       "text/plain": "<Axes: xlabel='dtype', ylabel='time'>"
      },
-     "execution_count": 9,
+     "execution_count": 16,
      "metadata": {},
      "output_type": "execute_result"
     },
     {
      "data": {
       "text/plain": "<Figure size 640x480 with 1 Axes>",
-      "image/png": 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"
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"
      },
      "metadata": {},
      "output_type": "display_data"
@@ -137,19 +137,23 @@
    "metadata": {
     "collapsed": false,
     "ExecuteTime": {
-     "end_time": "2023-10-30T15:51:25.097006215Z",
-     "start_time": "2023-10-30T15:51:24.992095665Z"
+     "end_time": "2023-10-30T16:15:28.833907900Z",
+     "start_time": "2023-10-30T16:15:28.739415909Z"
     }
    },
    "id": "4dc8bbcd3dea2f27"
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 16,
    "outputs": [],
    "source": [],
    "metadata": {
-    "collapsed": false
+    "collapsed": false,
+    "ExecuteTime": {
+     "end_time": "2023-10-30T16:15:28.880353691Z",
+     "start_time": "2023-10-30T16:15:28.833655934Z"
+    }
    },
    "id": "bb738671a34e6c60"
   }