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@bbengfort
Last active May 2, 2017 20:07
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benchmarks for python unique functions
#!/usr/bin/env python3
import csv
import time
import string
import random
import numpy as np
from sklearn.preprocessing import LabelEncoder
def py_unique(data):
return list(set(data))
def np_unique(data):
return np.unique(data)
def sk_unique(data):
encoder = LabelEncoder()
encoder.fit(data)
return encoder.classes_
def make_data(uniques=10, length=10000):
chars = string.ascii_letters
if uniques > len(chars):
raise ValueError("too many uniques for the choices")
return [
random.choice(chars[:uniques])
for idx in range(length)
]
def timeit(func):
start = time.time()
func()
return ((time.time() - start) * 1000000.0)
def benchmark(func, data, n=10000):
delta = sum([
timeit(lambda: func(data))
for _ in range(n)
])
return (float(delta) / float(n))
if __name__ == '__main__':
with open('results.csv', 'w') as f:
writer = csv.writer(f)
writer.writerow(['method', 'dtype', 'uniques', 'length', 'mean μs per operation'])
for n in range(1, 7):
n = 10 ** n
for u in (1, 5, 10, 15, 20, 25, 30, 35, 40):
data = make_data(u,n)
mt = benchmark(py_unique, data)
writer.writerow(['py_unique', 'list', u, n, mt])
mt = benchmark(np_unique, data)
writer.writerow(['np_unique', 'list', u, n, mt])
mt = benchmark(sk_unique, data)
writer.writerow(['sk_unique', 'list', u, n, mt])
data = np.array(data)
mt = benchmark(py_unique, data)
writer.writerow(['py_unique', 'array', u, n, mt])
mt = benchmark(np_unique, data)
writer.writerow(['np_unique', 'array', u, n, mt])
mt = benchmark(sk_unique, data)
writer.writerow(['sk_unique', 'array', u, n, mt])
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline \n",
"\n",
"import numpy as np \n",
"import pandas as pd \n",
"import seaborn as sns \n",
"import matplotlib.pyplot as plt \n",
"\n",
"sns.set_context('poster')\n",
"sns.set_style('whitegrid')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data = pd.read_csv('results.csv')"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"method object\n",
"dtype object\n",
"uniques int64\n",
"length int64\n",
"mean μs per operation float64\n",
"dtype: object"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.dtypes"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>uniques</th>\n",
" <th>length</th>\n",
" <th>mean μs per operation</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>count</th>\n",
" <td>245.000000</td>\n",
" <td>245.000000</td>\n",
" <td>245.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>mean</th>\n",
" <td>18.897959</td>\n",
" <td>14285.469388</td>\n",
" <td>1936.708637</td>\n",
" </tr>\n",
" <tr>\n",
" <th>std</th>\n",
" <td>12.647887</td>\n",
" <td>31717.002969</td>\n",
" <td>5469.747568</td>\n",
" </tr>\n",
" <tr>\n",
" <th>min</th>\n",
" <td>1.000000</td>\n",
" <td>10.000000</td>\n",
" <td>1.132131</td>\n",
" </tr>\n",
" <tr>\n",
" <th>25%</th>\n",
" <td>10.000000</td>\n",
" <td>100.000000</td>\n",
" <td>15.524864</td>\n",
" </tr>\n",
" <tr>\n",
" <th>50%</th>\n",
" <td>20.000000</td>\n",
" <td>1000.000000</td>\n",
" <td>63.111544</td>\n",
" </tr>\n",
" <tr>\n",
" <th>75%</th>\n",
" <td>30.000000</td>\n",
" <td>10000.000000</td>\n",
" <td>733.504796</td>\n",
" </tr>\n",
" <tr>\n",
" <th>max</th>\n",
" <td>40.000000</td>\n",
" <td>100000.000000</td>\n",
" <td>30457.933259</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" uniques length mean μs per operation\n",
"count 245.000000 245.000000 245.000000\n",
"mean 18.897959 14285.469388 1936.708637\n",
"std 12.647887 31717.002969 5469.747568\n",
"min 1.000000 10.000000 1.132131\n",
"25% 10.000000 100.000000 15.524864\n",
"50% 20.000000 1000.000000 63.111544\n",
"75% 30.000000 10000.000000 733.504796\n",
"max 40.000000 100000.000000 30457.933259"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.describe()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x1116fa710>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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PFBcXY9euXWjbtq1C0C6PV69TS0sLmpqa4uuvhEQiUXgNaWlpoWHDhrh169Zbn18VXF1d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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10cedb978>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"g = sns.barplot(x=\"method\", y=\"mean μs per operation\", hue='dtype', data=data)\n",
"g.set_ylabel(\"mean μs per operation\")\n",
"g.set_xlabel(\"\")\n",
"g.set_title(\"Average Time per Method by Input Type\")"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x113a40470>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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PIhg9ejT27Nkj6WZSq1YtsVuPUkGOjx07diA4OBg6Ojri8mlpaWIdlcdnlSpVAAB+fn44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\nIYeOAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x113a0ddd8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"g = sns.barplot(x=\"length\", y=\"mean μs per operation\", hue='method', data=data)\n",
"g.set_ylabel(\"mean μs per operation\")\n",
"g.set_xlabel(\"# of items per dataset\")\n",
"g.set_title(\"Average Time with Increasing Input Size by Method\")"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x111eee6a0>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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MDh06oHPnzrrKSEREREREREREpPckF+qePn2K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\nBQBMQYoqbhk/gFvXPrCQm0m0iTtxGLeff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"text/plain": [
"<matplotlib.figure.Figure at 0x11167b550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"g = sns.lmplot(x=\"uniques\", y=\"mean μs per operation\", hue='method', size=8, aspect=2, data=data)\n",
"# g.set_ylabel(\"mean μs per operation\")\n",
"# g.set_xlabel(\"# of unique items per dataset\")\n",
"g.axes[0][0].set_title(\"Average Time with Increasing Uniques by Method\")"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.1"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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