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{
"cells": [
{
"metadata": {
"trusted": true,
"collapsed": true
},
"cell_type": "code",
"source": "%matplotlib inline",
"execution_count": 1,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "I modified the `MultiIndex._engine` property slightly to choose the engine type based on the `object_engine` attribute instead of on the length of the index:"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "pd.MultiIndex.object_engine = False\n\nts = []\n\nfor n in [3, 10, 30, 100, 300, 1000, 3000]:\n idx = pd.MultiIndex.from_product([np.arange(n), pd.util.testing.makeStringIndex(k=n)])\n key = idx[0]\n t0 = %timeit -n 1 -r 1 -o idx.get_loc(key)\n t = %timeit -o idx.get_loc(key)\n ts.append((t0, t))",
"execution_count": 2,
"outputs": [
{
"output_type": "stream",
"text": "1 loop, best of 1: 4.25 ms per loop\n1000 loops, best of 3: 2 ms per loop\n1 loop, best of 1: 3.28 ms per loop\n1000 loops, best of 3: 1.94 ms per loop\n1 loop, best of 1: 2.48 ms per loop\n100 loops, best of 3: 1.84 ms per loop\n1 loop, best of 1: 2.82 ms per loop\n100 loops, best of 3: 2.03 ms per loop\n1 loop, best of 1: 7.96 ms per loop\n1000 loops, best of 3: 2.01 ms per loop\n1 loop, best of 1: 127 ms per loop\n1000 loops, best of 3: 1.95 ms per loop\n1 loop, best of 1: 1.15 s per loop\n1000 loops, best of 3: 1.87 ms per loop\n",
"name": "stdout"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "pd.MultiIndex.object_engine = True\n\ntsO = []\n\nfor n in [3, 10, 30, 100, 300, 1000, 3000]:\n idx = pd.MultiIndex.from_product([np.arange(n), pd.util.testing.makeStringIndex(k=n)])\n key = idx[0]\n t0 = %timeit -n 1 -r 1 -o idx.get_loc(key)\n t = %timeit -o idx.get_loc(key)\n tsO.append((t0, t))",
"execution_count": 3,
"outputs": [
{
"output_type": "stream",
"text": "1 loop, best of 1: 466 µs per loop\nThe slowest run took 6.07 times longer than the fastest. This could mean that an intermediate result is being cached.\n100000 loops, best of 3: 5.41 µs per loop\n1 loop, best of 1: 537 µs per loop\nThe slowest run took 6.07 times longer than the fastest. This could mean that an intermediate result is being cached.\n100000 loops, best of 3: 5.44 µs per loop\n1 loop, best of 1: 603 µs per loop\nThe slowest run took 6.16 times longer than the fastest. This could mean that an intermediate result is being cached.\n100000 loops, best of 3: 5.52 µs per loop\n1 loop, best of 1: 2.19 ms per loop\nThe slowest run took 6.06 times longer than the fastest. This could mean that an intermediate result is being cached.\n100000 loops, best of 3: 5.42 µs per loop\n1 loop, best of 1: 24.8 ms per loop\nThe slowest run took 5.94 times longer than the fastest. This could mean that an intermediate result is being cached.\n100000 loops, best of 3: 5.44 µs per loop\n1 loop, best of 1: 654 ms per loop\nThe slowest run took 6.98 times longer than the fastest. This could mean that an intermediate result is being cached.\n100000 loops, best of 3: 5.44 µs per loop\n1 loop, best of 1: 5.32 s per loop\nThe slowest run took 86.15 times longer than the fastest. This could mean that an intermediate result is being cached.\n100000 loops, best of 3: 5.61 µs per loop\n",
"name": "stdout"
}
]
},
{
"metadata": {
"trusted": true,
"collapsed": true
},
"cell_type": "code",
"source": "sizes = np.array([3, 10, 30, 100, 300, 1000, 3000])**2",
"execution_count": 4,
"outputs": []
},
{
"metadata": {
"trusted": true,
"collapsed": true
},
"cell_type": "code",
"source": "t_cold = np.array([t[0].best for t in ts])\nt_warm = np.array([t[1].best for t in ts])\n\ntO_cold = np.array([t[0].best for t in tsO])\ntO_warm = np.array([t[1].best for t in tsO])",
"execution_count": 5,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "import matplotlib\nmatplotlib.rcParams['figure.dpi'] = 120",
"execution_count": 8,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "fig, ax = plt.subplots()\nax.plot(sizes, t_cold, label='MultiIndexEngine')\nax.plot(sizes, tO_cold, label='ObjectEngine')\nax.plot(sizes, t_cold + t_warm * 10, label='MultiIndexEngine + 10 * get_loc', linestyle='--', color='C0')\nax.plot(sizes, tO_cold + tO_warm * 10, label='ObjectEngine + 10 * get_loc', linestyle='--', color='C1')\nax.set_xscale('log')\nax.set_yscale('log')\nax.set_xlabel('MultiIndex size')\nax.set_ylabel('Time (s)')\nax.legend()",
"execution_count": 9,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 9,
"data": {
"text/plain": "<matplotlib.legend.Legend at 0x7f5605d12c18>"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x7f5605bfb320>",
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Wrmnadk3T7l3rrzpwTSl18q6yOMC3gN5CkWdvb8/8+fNNyjdu3MipU6ews7Ps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\nPPTuJryFJjUvycG0XCbNXU220wPAP8b3YXjHpGqtVdRelb3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dvxqnx4fZpHjptn70LTTy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\nA8y7zAAAAABJRU5ErkJggg==\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "fig, ax = plt.subplots()\nax.plot(sizes, t_cold, label='MultiIndexEngine')\nax.plot(sizes, tO_cold, label='ObjectEngine')\nax.plot(sizes, t_cold + t_warm * 100, label='MultiIndexEngine + 100 * get_loc', linestyle='--', color='C0')\nax.plot(sizes, tO_cold + tO_warm * 100, label='ObjectEngine + 100 * get_loc', linestyle='--', color='C1')\nax.set_xscale('log')\nax.set_yscale('log')\nax.set_xlabel('MultiIndex size')\nax.set_ylabel('Time (s)')\nax.legend()",
"execution_count": 10,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 10,
"data": {
"text/plain": "<matplotlib.legend.Legend at 0x7f56058dcda0>"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x7f5605913a20>",
"image/png": 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Z249K586dtdf24Vfz5s2NHV6lcOrUKd566y2effZZzM3NC02UN23axDPPPIO5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sEdXv0rzLsc3n8pXl4/KtRpj1Pzf6ldRKQEKFSKSGl77W/wjx/A+y9vvmzbfaPHJB5T+Hq5h1Hl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\niIiIZE2hUkRERESyplApIiIiIln7P/IycN85Lpz0AAAAAElFTkSuQmCC\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "fig, ax = plt.subplots()\nax.plot(sizes, t_cold, label='MultiIndexEngine')\nax.plot(sizes, tO_cold, label='ObjectEngine')\nax.plot(sizes, t_cold + t_warm * 1000, label='MultiIndexEngine + 1000 * get_loc', linestyle='--', color='C0')\nax.plot(sizes, tO_cold + tO_warm * 1000, label='ObjectEngine + 1000 * get_loc', linestyle='--', color='C1')\nax.set_xscale('log')\nax.set_yscale('log')\nax.set_xlabel('MultiIndex size')\nax.set_ylabel('Time (s)')\nax.legend()",
"execution_count": 11,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 11,
"data": {
"text/plain": "<matplotlib.legend.Legend at 0x7f5605760a20>"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x7f5605804b00>",
"image/png": 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evAOtwdPNwvT729MtMtjssMotSSqFEEIIUTJaw3ePw8m/jHLXCdCkl7kxlbF5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\nJ+c9A+O92LFjB8HBwYUeIzE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GU90XX3xBUlIS48aNQynFm2++Sf/+/dm3bx/u7sbSZcuW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X6v/H9QERmxFCpFypCZMaE+xoT6GAfMSH3u3Lb2riBsJlxAlHiofVNL//M6ex3WbG1nzdZ2nmZL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\n77WEJqYqnwAAAABJRU5ErkJggg==\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true,
"collapsed": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"kernelspec": {
"name": "dev",
"display_name": "Python 3 (dev)",
"language": "python"
},
"toc": {
"threshold": 6,
"number_sections": true,
"toc_cell": false,
"toc_window_display": false,
"toc_section_display": "block",
"sideBar": true,
"navigate_menu": true
},
"nav_menu": {},
"language_info": {
"name": "python",
"file_extension": ".py",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"mimetype": "text/x-python",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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