"timeit" --- Measure execution time of small code snippets
**********************************************************

**Source code:** Lib/timeit.py

======================================================================

This module provides a simple way to time small bits of Python code.
It has both a Command-Line Interface as well as a callable one.  It
avoids a number of common traps for measuring execution times. See
also Tim Peters' introduction to the "Algorithms" chapter in the
second edition of *Python Cookbook*, published by O'Reilly.


Basic Examples
==============

The following example shows how the Command-Line Interface can be used
to compare three different expressions:

   $ python -m timeit "'-'.join(str(n) for n in range(100))"
   10000 loops, best of 5: 30.2 usec per loop
   $ python -m timeit "'-'.join([str(n) for n in range(100)])"
   10000 loops, best of 5: 27.5 usec per loop
   $ python -m timeit "'-'.join(map(str, range(100)))"
   10000 loops, best of 5: 23.2 usec per loop

This can be achieved from the Python Interface with:

   >>> import timeit
   >>> timeit.timeit('"-".join(str(n) for n in range(100))', number=10000)
   0.3018611848820001
   >>> timeit.timeit('"-".join([str(n) for n in range(100)])', number=10000)
   0.2727368790656328
   >>> timeit.timeit('"-".join(map(str, range(100)))', number=10000)
   0.23702679807320237

A callable can also be passed from the Python Interface:

   >>> timeit.timeit(lambda: "-".join(map(str, range(100))), number=10000)
   0.19665591977536678

Note however that "timeit()" will automatically determine the number
of repetitions only when the command-line interface is used.  In the
Examples section you can find more advanced examples.


Python Interface
================

The module defines three convenience functions and a public class:

timeit.timeit(stmt='pass', setup='pass', timer=<default timer>, number=1000000, globals=None)

   Create a "Timer" instance with the given statement, *setup* code
   and *timer* function and run its "timeit()" method with *number*
   executions. The optional *globals* argument specifies a namespace
   in which to execute the code.

   Άλλαξε στην έκδοση 3.5: The optional *globals* parameter was added.

timeit.repeat(stmt='pass', setup='pass', timer=<default timer>, repeat=5, number=1000000, globals=None)

   Create a "Timer" instance with the given statement, *setup* code
   and *timer* function and run its "repeat()" method with the given
   *repeat* count and *number* executions.  The optional *globals*
   argument specifies a namespace in which to execute the code.

   Άλλαξε στην έκδοση 3.5: The optional *globals* parameter was added.

   Άλλαξε στην έκδοση 3.7: Default value of *repeat* changed from 3 to
   5.

timeit.default_timer()

   The default timer, which is always time.perf_counter(), returns
   float seconds. An alternative, time.perf_counter_ns, returns
   integer nanoseconds.

   Άλλαξε στην έκδοση 3.3: "time.perf_counter()" is now the default
   timer.

class timeit.Timer(stmt='pass', setup='pass', timer=<timer function>, globals=None)

   Class for timing execution speed of small code snippets.

   The constructor takes a statement to be timed, an additional
   statement used for setup, and a timer function.  Both statements
   default to "'pass'"; the timer function is platform-dependent (see
   the module doc string). *stmt* and *setup* may also contain
   multiple statements separated by ";" or newlines, as long as they
   don't contain multi-line string literals.  The statement will by
   default be executed within timeit's namespace; this behavior can be
   controlled by passing a namespace to *globals*.

   To measure the execution time of the first statement, use the
   "timeit()" method.  The "repeat()" and "autorange()" methods are
   convenience methods to call "timeit()" multiple times.

   The execution time of *setup* is excluded from the overall timed
   execution run.

   The *stmt* and *setup* parameters can also take objects that are
   callable without arguments.  This will embed calls to them in a
   timer function that will then be executed by "timeit()".  Note that
   the timing overhead is a little larger in this case because of the
   extra function calls.

   Άλλαξε στην έκδοση 3.5: The optional *globals* parameter was added.

   timeit(number=1000000)

      Time *number* executions of the main statement.  This executes
      the setup statement once, and then returns the time it takes to
      execute the main statement a number of times.  The default timer
      returns seconds as a float. The argument is the number of times
      through the loop, defaulting to one million.  The main
      statement, the setup statement and the timer function to be used
      are passed to the constructor.

      Σημείωση:

        By default, "timeit()" temporarily turns off *garbage
        collection* during the timing.  The advantage of this approach
        is that it makes independent timings more comparable.  The
        disadvantage is that GC may be an important component of the
        performance of the function being measured.  If so, GC can be
        re-enabled as the first statement in the *setup* string.  For
        example:

           timeit.Timer('for i in range(10): oct(i)', 'gc.enable()').timeit()

   autorange(callback=None)

      Automatically determine how many times to call "timeit()".

      This is a convenience function that calls "timeit()" repeatedly
      so that the total time >= 0.2 second, returning the eventual
      (number of loops, time taken for that number of loops). It calls
      "timeit()" with increasing numbers from the sequence 1, 2, 5,
      10, 20, 50, ... until the time taken is at least 0.2 seconds.

      If *callback* is given and is not "None", it will be called
      after each trial with two arguments: "callback(number,
      time_taken)".

      Added in version 3.6.

   repeat(repeat=5, number=1000000)

      Call "timeit()" a few times.

      This is a convenience function that calls the "timeit()"
      repeatedly, returning a list of results.  The first argument
      specifies how many times to call "timeit()".  The second
      argument specifies the *number* argument for "timeit()".

      Σημείωση:

        It's tempting to calculate mean and standard deviation from
        the result vector and report these.  However, this is not very
        useful. In a typical case, the lowest value gives a lower
        bound for how fast your machine can run the given code
        snippet; higher values in the result vector are typically not
        caused by variability in Python's speed, but by other
        processes interfering with your timing accuracy. So the
        "min()" of the result is probably the only number you should
        be interested in.  After that, you should look at the entire
        vector and apply common sense rather than statistics.

      Άλλαξε στην έκδοση 3.7: Default value of *repeat* changed from 3
      to 5.

   print_exc(file=None)

      Helper to print a traceback from the timed code.

      Typical use:

         t = Timer(...)       # outside the try/except
         try:
             t.timeit(...)    # or t.repeat(...)
         except Exception:
             t.print_exc()

      The advantage over the standard traceback is that source lines
      in the compiled template will be displayed.  The optional *file*
      argument directs where the traceback is sent; it defaults to
      "sys.stderr".


Command-Line Interface
======================

When called as a program from the command line, the following form is
used:

   python -m timeit [-n N] [-r N] [-u U] [-s S] [-p] [-v] [-h] [statement ...]

Where the following options are understood:

-n N, --number=N

   how many times to execute 'statement'

-r N, --repeat=N

   how many times to repeat the timer (default 5)

-s S, --setup=S

   statement to be executed once initially (default "pass")

-p, --process

   measure process time, not wallclock time, using
   "time.process_time()" instead of "time.perf_counter()", which is
   the default

   Added in version 3.3.

-u, --unit=U

   specify a time unit for timer output; can select "nsec", "usec",
   "msec", or "sec"

   Added in version 3.5.

-v, --verbose

   print raw timing results; repeat for more digits precision

-h, --help

   print a short usage message and exit

A multi-line statement may be given by specifying each line as a
separate statement argument; indented lines are possible by enclosing
an argument in quotes and using leading spaces.  Multiple "-s" options
are treated similarly.

If "-n" is not given, a suitable number of loops is calculated by
trying increasing numbers from the sequence 1, 2, 5, 10, 20, 50, ...
until the total time is at least 0.2 seconds.

"default_timer()" measurements can be affected by other programs
running on the same machine, so the best thing to do when accurate
timing is necessary is to repeat the timing a few times and use the
best time.  The "-r" option is good for this; the default of 5
repetitions is probably enough in most cases.  You can use
"time.process_time()" to measure CPU time.

Σημείωση:

  There is a certain baseline overhead associated with executing a
  pass statement. The code here doesn't try to hide it, but you should
  be aware of it.  The baseline overhead can be measured by invoking
  the program without arguments, and it might differ between Python
  versions.


Examples
========

It is possible to provide a setup statement that is executed only once
at the beginning:

   $ python -m timeit -s "text = 'sample string'; char = 'g'" "char in text"
   5000000 loops, best of 5: 0.0877 usec per loop
   $ python -m timeit -s "text = 'sample string'; char = 'g'" "text.find(char)"
   1000000 loops, best of 5: 0.342 usec per loop

In the output, there are three fields. The loop count, which tells you
how many times the statement body was run per timing loop repetition.
The repetition count ('best of 5') which tells you how many times the
timing loop was repeated, and finally the time the statement body took
on average within the best repetition of the timing loop. That is, the
time the fastest repetition took divided by the loop count.

   >>> import timeit
   >>> timeit.timeit('char in text', setup='text = "sample string"; char = "g"')
   0.41440500499993504
   >>> timeit.timeit('text.find(char)', setup='text = "sample string"; char = "g"')
   1.7246671520006203

The same can be done using the "Timer" class and its methods:

   >>> import timeit
   >>> t = timeit.Timer('char in text', setup='text = "sample string"; char = "g"')
   >>> t.timeit()
   0.3955516149999312
   >>> t.repeat()
   [0.40183617287970225, 0.37027556854118704, 0.38344867356679524, 0.3712595970846668, 0.37866875250654886]

The following examples show how to time expressions that contain
multiple lines. Here we compare the cost of using "hasattr()" vs.
"try"/"except" to test for missing and present object attributes:

   $ python -m timeit "try:" "  str.__bool__" "except AttributeError:" "  pass"
   20000 loops, best of 5: 15.7 usec per loop
   $ python -m timeit "if hasattr(str, '__bool__'): pass"
   50000 loops, best of 5: 4.26 usec per loop

   $ python -m timeit "try:" "  int.__bool__" "except AttributeError:" "  pass"
   200000 loops, best of 5: 1.43 usec per loop
   $ python -m timeit "if hasattr(int, '__bool__'): pass"
   100000 loops, best of 5: 2.23 usec per loop

   >>> import timeit
   >>> # attribute is missing
   >>> s = """\
   ... try:
   ...     str.__bool__
   ... except AttributeError:
   ...     pass
   ... """
   >>> timeit.timeit(stmt=s, number=100000)
   0.9138244460009446
   >>> s = "if hasattr(str, '__bool__'): pass"
   >>> timeit.timeit(stmt=s, number=100000)
   0.5829014980008651
   >>>
   >>> # attribute is present
   >>> s = """\
   ... try:
   ...     int.__bool__
   ... except AttributeError:
   ...     pass
   ... """
   >>> timeit.timeit(stmt=s, number=100000)
   0.04215312199994514
   >>> s = "if hasattr(int, '__bool__'): pass"
   >>> timeit.timeit(stmt=s, number=100000)
   0.08588060699912603

To give the "timeit" module access to functions you define, you can
pass a *setup* parameter which contains an import statement:

   def test():
       """Stupid test function"""
       L = [i for i in range(100)]

   if __name__ == '__main__':
       import timeit
       print(timeit.timeit("test()", setup="from __main__ import test"))

Another option is to pass "globals()" to the  *globals* parameter,
which will cause the code to be executed within your current global
namespace.  This can be more convenient than individually specifying
imports:

   def f(x):
       return x**2
   def g(x):
       return x**4
   def h(x):
       return x**8

   import timeit
   print(timeit.timeit('[func(42) for func in (f,g,h)]', globals=globals()))
