{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Code Optimization and Execution Time\n",
"![\"Open](\"https://colab.research.google.com/assets/colab-badge.svg\")
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## finding actual running time of code - timeit\n",
"- timeit - measures execution time of small code snippets\n",
"- timeit.timeit(stmt='pass', setup='pass', timer=[default timer], number=1000000, globals=None)\n",
"- returns time in seconds"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Help on module timeit:\n",
"\n",
"NAME\n",
" timeit - Tool for measuring execution time of small code snippets.\n",
"\n",
"MODULE REFERENCE\n",
" https://docs.python.org/3.7/library/timeit\n",
" \n",
" The following documentation is automatically generated from the Python\n",
" source files. It may be incomplete, incorrect or include features that\n",
" are considered implementation detail and may vary between Python\n",
" implementations. When in doubt, consult the module reference at the\n",
" location listed above.\n",
"\n",
"DESCRIPTION\n",
" This module avoids a number of common traps for measuring execution\n",
" times. See also Tim Peters' introduction to the Algorithms chapter in\n",
" the Python Cookbook, published by O'Reilly.\n",
" \n",
" Library usage: see the Timer class.\n",
" \n",
" Command line usage:\n",
" python timeit.py [-n N] [-r N] [-s S] [-p] [-h] [--] [statement]\n",
" \n",
" Options:\n",
" -n/--number N: how many times to execute 'statement' (default: see below)\n",
" -r/--repeat N: how many times to repeat the timer (default 5)\n",
" -s/--setup S: statement to be executed once initially (default 'pass').\n",
" Execution time of this setup statement is NOT timed.\n",
" -p/--process: use time.process_time() (default is time.perf_counter())\n",
" -v/--verbose: print raw timing results; repeat for more digits precision\n",
" -u/--unit: set the output time unit (nsec, usec, msec, or sec)\n",
" -h/--help: print this usage message and exit\n",
" --: separate options from statement, use when statement starts with -\n",
" statement: statement to be timed (default 'pass')\n",
" \n",
" A multi-line statement may be given by specifying each line as a\n",
" separate argument; indented lines are possible by enclosing an\n",
" argument in quotes and using leading spaces. Multiple -s options are\n",
" treated similarly.\n",
" \n",
" If -n is not given, a suitable number of loops is calculated by trying\n",
" successive powers of 10 until the total time is at least 0.2 seconds.\n",
" \n",
" Note: there is a certain baseline overhead associated with executing a\n",
" pass statement. It differs between versions. The code here doesn't try\n",
" to hide it, but you should be aware of it. The baseline overhead can be\n",
" measured by invoking the program without arguments.\n",
" \n",
" Classes:\n",
" \n",
" Timer\n",
" \n",
" Functions:\n",
" \n",
" timeit(string, string) -> float\n",
" repeat(string, string) -> list\n",
" default_timer() -> float\n",
"\n",
"CLASSES\n",
" builtins.object\n",
" Timer\n",
" \n",
" class Timer(builtins.object)\n",
" | Timer(stmt='pass', setup='pass', timer=, globals=None)\n",
" | \n",
" | Class for timing execution speed of small code snippets.\n",
" | \n",
" | The constructor takes a statement to be timed, an additional\n",
" | statement used for setup, and a timer function. Both statements\n",
" | default to 'pass'; the timer function is platform-dependent (see\n",
" | module doc string). If 'globals' is specified, the code will be\n",
" | executed within that namespace (as opposed to inside timeit's\n",
" | namespace).\n",
" | \n",
" | To measure the execution time of the first statement, use the\n",
" | timeit() method. The repeat() method is a convenience to call\n",
" | timeit() multiple times and return a list of results.\n",
" | \n",
" | The statements may contain newlines, as long as they don't contain\n",
" | multi-line string literals.\n",
" | \n",
" | Methods defined here:\n",
" | \n",
" | __init__(self, stmt='pass', setup='pass', timer=, globals=None)\n",
" | Constructor. See class doc string.\n",
" | \n",
" | autorange(self, callback=None)\n",
" | Return the number of loops and time taken so that total time >= 0.2.\n",
" | \n",
" | Calls the timeit method with increasing numbers from the sequence\n",
" | 1, 2, 5, 10, 20, 50, ... until the time taken is at least 0.2\n",
" | second. Returns (number, time_taken).\n",
" | \n",
" | If *callback* is given and is not None, it will be called after\n",
" | each trial with two arguments: ``callback(number, time_taken)``.\n",
" | \n",
" | print_exc(self, file=None)\n",
" | Helper to print a traceback from the timed code.\n",
" | \n",
" | Typical use:\n",
" | \n",
" | t = Timer(...) # outside the try/except\n",
" | try:\n",
" | t.timeit(...) # or t.repeat(...)\n",
" | except:\n",
" | t.print_exc()\n",
" | \n",
" | The advantage over the standard traceback is that source lines\n",
" | in the compiled template will be displayed.\n",
" | \n",
" | The optional file argument directs where the traceback is\n",
" | sent; it defaults to sys.stderr.\n",
" | \n",
" | repeat(self, repeat=5, number=1000000)\n",
" | Call timeit() a few times.\n",
" | \n",
" | This is a convenience function that calls the timeit()\n",
" | repeatedly, returning a list of results. The first argument\n",
" | specifies how many times to call timeit(), defaulting to 5;\n",
" | the second argument specifies the timer argument, defaulting\n",
" | to one million.\n",
" | \n",
" | Note: it's tempting to calculate mean and standard deviation\n",
" | from the result vector and report these. However, this is not\n",
" | very useful. In a typical case, the lowest value gives a\n",
" | lower bound for how fast your machine can run the given code\n",
" | snippet; higher values in the result vector are typically not\n",
" | caused by variability in Python's speed, but by other\n",
" | processes interfering with your timing accuracy. So the min()\n",
" | of the result is probably the only number you should be\n",
" | interested in. After that, you should look at the entire\n",
" | vector and apply common sense rather than statistics.\n",
" | \n",
" | timeit(self, number=1000000)\n",
" | Time 'number' executions of the main statement.\n",
" | \n",
" | To be precise, this executes the setup statement once, and\n",
" | then returns the time it takes to execute the main statement\n",
" | a number of times, as a float measured in seconds. The\n",
" | argument is the number of times through the loop, defaulting\n",
" | to one million. The main statement, the setup statement and\n",
" | the timer function to be used are passed to the constructor.\n",
" | \n",
" | ----------------------------------------------------------------------\n",
" | Data descriptors defined here:\n",
" | \n",
" | __dict__\n",
" | dictionary for instance variables (if defined)\n",
" | \n",
" | __weakref__\n",
" | list of weak references to the object (if defined)\n",
"\n",
"FUNCTIONS\n",
" default_timer = perf_counter(...)\n",
" perf_counter() -> float\n",
" \n",
" Performance counter for benchmarking.\n",
" \n",
" repeat(stmt='pass', setup='pass', timer=, repeat=5, number=1000000, globals=None)\n",
" Convenience function to create Timer object and call repeat method.\n",
" \n",
" timeit(stmt='pass', setup='pass', timer=, number=1000000, globals=None)\n",
" Convenience function to create Timer object and call timeit method.\n",
"\n",
"DATA\n",
" __all__ = ['Timer', 'timeit', 'repeat', 'default_timer']\n",
"\n",
"FILE\n",
" /Users/rbasnet/anaconda3/lib/python3.7/timeit.py\n",
"\n",
"\n"
]
}
],
"source": [
"import timeit\n",
"help(timeit)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"# Python code optimization\n",
"- https://wiki.python.org/moin/PythonSpeed/PerformanceTips"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Summary\n",
"\n",
"- use functions and local variables instead of globals, eventhough function calls are relatively high\n",
"- avoid dot . member access specifier\n",
"- user built-in list.sort and sorted with key using itemgetter function if required\n",
"- avoid string concatenation; use \"\".join(somelist) instead\n",
"- use list comprehension and map() instead of loops\n",
"- while working with dict (esp. initializing), use try catch instead of key test\n",
"- use defaultdict class from collections\n",
"- doing stuff less often - change sys.setswitchinterval(sys.maxsize) to as high as possible if not running threads and catching signals\n",
"- use addition and subtraction instead of multiplicaiton and divisions\n",
"- avoid recursion; esp. if can't increase system's recursion limit\n",
" - sys.setrecursionlimit(10**6)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.005"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import sys\n",
"sys.getswitchinterval()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"9223372036854775807"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# what is the mazsize of sytem\n",
"sys.maxsize"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"sys.setswitchinterval(100000)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"100000.0"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sys.getswitchinterval()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import timeit"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.033220868999990216"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"code = '''\n",
"x = 47\n",
"x = x * 2\n",
"'''\n",
"timeit.timeit(stmt=code) # runs 1M times"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.050778557000001"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"code = '''\n",
"x = 47\n",
"x = x << 1\n",
"'''\n",
"timeit.timeit(stmt=code) # runs 1M times"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.031750694999999496"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"code = '''\n",
"# x is local variable\n",
"x = 47\n",
"x = x + x\n",
"'''\n",
"timeit.timeit(stmt=code) # runs 1M times"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"12.113830603999986"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# x is global variable\n",
"x = 47\n",
"code = '''\n",
"global x\n",
"x = x + x\n",
"'''\n",
"timeit.timeit(stmt=code, globals=globals()) # runs 1M times; takes ~12 seconds"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
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},
{
"data": {
"text/plain": [
"5.671976101999917"
]
},
"execution_count": 59,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# printing some result n times\n",
"# input and output are the major bottlenecks in execution time\n",
"code = '''\n",
"import sys\n",
"n = 100000 #100K takes 5.x seconds on my macbook pro 2019\n",
"for i in range(n):\n",
" print(i**2)\n",
"'''\n",
"timeit.timeit(stmt=code, number=1)"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
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]
},
{
"data": {
"text/plain": [
"0.058280526000089594"
]
},
"execution_count": 58,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# concatenating result into a string and printing once\n",
"code = '''\n",
"n = 100000 # 100K takes 0.056 seconds on my 2019 macbook pro\n",
"ans = ''\n",
"for i in range(n):\n",
" ans += str(i**2)\n",
"print(ans)\n",
"'''\n",
"timeit.timeit(stmt=code, number=1)"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"4.672693429999981"
]
},
"execution_count": 57,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# concatenating result into a string and printing once\n",
"code = '''\n",
"n = 10000000 # 100K takes 0.050 seconds on my 2019 macbook pro\n",
"ans = ''\n",
"for i in range(n):\n",
" ans += str(i**2)\n",
"'''\n",
"timeit.timeit(stmt=code, number=1)"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"4.5981398419999095"
]
},
"execution_count": 56,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# using list to collect answers and print once as string\n",
"code = '''\n",
"n = 10000000 # 100K takes 0.055 seconds on my 2019 macbook pro\n",
"ans = []\n",
"for i in range(n):\n",
" ans.append(str(i**2)) #converting and appending string to list\n",
"ans = ''.join(ans) #typically print before storing into a variable\n",
"'''\n",
"timeit.timeit(stmt=code, number=1)"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"4.5236146569998255"
]
},
"execution_count": 55,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# using list to collect int answers and print once as string\n",
"# not a whole lot of difference compared to collecting string itself\n",
"code = '''\n",
"n = 10000000 # 100K takes 0.055 seconds on my 2019 macbook pro\n",
"ans = []\n",
"for i in range(n):\n",
" ans.append(i**2) #appending int to list\n",
"#map to string and join to print\n",
"ans = ''.join(map(str, ans))\n",
"'''\n",
"timeit.timeit(stmt=code, number=1)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"def factorial_recurse(n): \n",
" if(n == 0): \n",
" return 1\n",
" return n * factorial_recurse(n - 1) "
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"3000"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sys.getrecursionlimit()"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"ename": "RecursionError",
"evalue": "maximum recursion depth exceeded in comparison",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mRecursionError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mfactorial_recurse\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m3000\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
"\u001b[0;32m\u001b[0m in \u001b[0;36mfactorial_recurse\u001b[0;34m(n)\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;32mif\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mn\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mn\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mfactorial_recurse\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mn\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
"... last 1 frames repeated, from the frame below ...\n",
"\u001b[0;32m\u001b[0m in \u001b[0;36mfactorial_recurse\u001b[0;34m(n)\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;32mif\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mn\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mn\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mfactorial_recurse\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mn\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
"\u001b[0;31mRecursionError\u001b[0m: maximum recursion depth exceeded in comparison"
]
}
],
"source": [
"factorial_recurse(3000)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"sys.setrecursionlimit(10**6)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
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]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"factorial_recurse(3000)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.0034237059999924213"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"timeit.timeit('factorial_recurse(3000)', number=1, globals=globals())"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"def factorial_iter(n):\n",
" fact = 1\n",
" for i in range(1, n+1):\n",
" fact *= i\n",
" return fact"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
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]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"factorial_iter(3000)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.0030432679999989887"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"timeit.timeit('factorial_iter(3000)', number=1, globals=globals())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Time complexity\n",
"- Time complexity of various Python built-in data sturctures and functions \n",
"- https://wiki.python.org/moin/TimeComplexity"
]
}
],
"metadata": {
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"name": "python3"
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},
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