Home | History | Annotate | Download | only in library
      1 .. _profile:
      2 
      3 ********************
      4 The Python Profilers
      5 ********************
      6 
      7 **Source code:** :source:`Lib/profile.py` and :source:`Lib/pstats.py`
      8 
      9 --------------
     10 
     11 .. _profiler-introduction:
     12 
     13 Introduction to the profilers
     14 =============================
     15 
     16 .. index::
     17    single: deterministic profiling
     18    single: profiling, deterministic
     19 
     20 :mod:`cProfile` and :mod:`profile` provide :dfn:`deterministic profiling` of
     21 Python programs. A :dfn:`profile` is a set of statistics that describes how
     22 often and for how long various parts of the program executed. These statistics
     23 can be formatted into reports via the :mod:`pstats` module.
     24 
     25 The Python standard library provides two different implementations of the same
     26 profiling interface:
     27 
     28 1. :mod:`cProfile` is recommended for most users; it's a C extension with
     29    reasonable overhead that makes it suitable for profiling long-running
     30    programs.  Based on :mod:`lsprof`, contributed by Brett Rosen and Ted
     31    Czotter.
     32 
     33 2. :mod:`profile`, a pure Python module whose interface is imitated by
     34    :mod:`cProfile`, but which adds significant overhead to profiled programs.
     35    If you're trying to extend the profiler in some way, the task might be easier
     36    with this module.  Originally designed and written by Jim Roskind.
     37 
     38 .. note::
     39 
     40    The profiler modules are designed to provide an execution profile for a given
     41    program, not for benchmarking purposes (for that, there is :mod:`timeit` for
     42    reasonably accurate results).  This particularly applies to benchmarking
     43    Python code against C code: the profilers introduce overhead for Python code,
     44    but not for C-level functions, and so the C code would seem faster than any
     45    Python one.
     46 
     47 
     48 .. _profile-instant:
     49 
     50 Instant User's Manual
     51 =====================
     52 
     53 This section is provided for users that "don't want to read the manual." It
     54 provides a very brief overview, and allows a user to rapidly perform profiling
     55 on an existing application.
     56 
     57 To profile a function that takes a single argument, you can do::
     58 
     59    import cProfile
     60    import re
     61    cProfile.run('re.compile("foo|bar")')
     62 
     63 (Use :mod:`profile` instead of :mod:`cProfile` if the latter is not available on
     64 your system.)
     65 
     66 The above action would run :func:`re.compile` and print profile results like
     67 the following::
     68 
     69          197 function calls (192 primitive calls) in 0.002 seconds
     70 
     71    Ordered by: standard name
     72 
     73    ncalls  tottime  percall  cumtime  percall filename:lineno(function)
     74         1    0.000    0.000    0.001    0.001 <string>:1(<module>)
     75         1    0.000    0.000    0.001    0.001 re.py:212(compile)
     76         1    0.000    0.000    0.001    0.001 re.py:268(_compile)
     77         1    0.000    0.000    0.000    0.000 sre_compile.py:172(_compile_charset)
     78         1    0.000    0.000    0.000    0.000 sre_compile.py:201(_optimize_charset)
     79         4    0.000    0.000    0.000    0.000 sre_compile.py:25(_identityfunction)
     80       3/1    0.000    0.000    0.000    0.000 sre_compile.py:33(_compile)
     81 
     82 The first line indicates that 197 calls were monitored.  Of those calls, 192
     83 were :dfn:`primitive`, meaning that the call was not induced via recursion. The
     84 next line: ``Ordered by: standard name``, indicates that the text string in the
     85 far right column was used to sort the output. The column headings include:
     86 
     87 ncalls
     88    for the number of calls.
     89 
     90 tottime
     91    for the total time spent in the given function (and excluding time made in
     92    calls to sub-functions)
     93 
     94 percall
     95    is the quotient of ``tottime`` divided by ``ncalls``
     96 
     97 cumtime
     98    is the cumulative time spent in this and all subfunctions (from invocation
     99    till exit). This figure is accurate *even* for recursive functions.
    100 
    101 percall
    102    is the quotient of ``cumtime`` divided by primitive calls
    103 
    104 filename:lineno(function)
    105    provides the respective data of each function
    106 
    107 When there are two numbers in the first column (for example ``3/1``), it means
    108 that the function recursed.  The second value is the number of primitive calls
    109 and the former is the total number of calls.  Note that when the function does
    110 not recurse, these two values are the same, and only the single figure is
    111 printed.
    112 
    113 Instead of printing the output at the end of the profile run, you can save the
    114 results to a file by specifying a filename to the :func:`run` function::
    115 
    116    import cProfile
    117    import re
    118    cProfile.run('re.compile("foo|bar")', 'restats')
    119 
    120 The :class:`pstats.Stats` class reads profile results from a file and formats
    121 them in various ways.
    122 
    123 The file :mod:`cProfile` can also be invoked as a script to profile another
    124 script.  For example::
    125 
    126    python -m cProfile [-o output_file] [-s sort_order] (-m module | myscript.py)
    127 
    128 ``-o`` writes the profile results to a file instead of to stdout
    129 
    130 ``-s`` specifies one of the :func:`~pstats.Stats.sort_stats` sort values to sort
    131 the output by. This only applies when ``-o`` is not supplied.
    132 
    133 ``-m`` specifies that a module is being profiled instead of a script.
    134 
    135    .. versionadded:: 3.7
    136       Added the ``-m`` option.
    137 
    138 The :mod:`pstats` module's :class:`~pstats.Stats` class has a variety of methods
    139 for manipulating and printing the data saved into a profile results file::
    140 
    141    import pstats
    142    from pstats import SortKey
    143    p = pstats.Stats('restats')
    144    p.strip_dirs().sort_stats(-1).print_stats()
    145 
    146 The :meth:`~pstats.Stats.strip_dirs` method removed the extraneous path from all
    147 the module names. The :meth:`~pstats.Stats.sort_stats` method sorted all the
    148 entries according to the standard module/line/name string that is printed. The
    149 :meth:`~pstats.Stats.print_stats` method printed out all the statistics.  You
    150 might try the following sort calls::
    151 
    152    p.sort_stats(SortKey.NAME)
    153    p.print_stats()
    154 
    155 The first call will actually sort the list by function name, and the second call
    156 will print out the statistics.  The following are some interesting calls to
    157 experiment with::
    158 
    159    p.sort_stats(SortKey.CUMULATIVE).print_stats(10)
    160 
    161 This sorts the profile by cumulative time in a function, and then only prints
    162 the ten most significant lines.  If you want to understand what algorithms are
    163 taking time, the above line is what you would use.
    164 
    165 If you were looking to see what functions were looping a lot, and taking a lot
    166 of time, you would do::
    167 
    168    p.sort_stats(SortKey.TIME).print_stats(10)
    169 
    170 to sort according to time spent within each function, and then print the
    171 statistics for the top ten functions.
    172 
    173 You might also try::
    174 
    175    p.sort_stats(SortKey.FILENAME).print_stats('__init__')
    176 
    177 This will sort all the statistics by file name, and then print out statistics
    178 for only the class init methods (since they are spelled with ``__init__`` in
    179 them).  As one final example, you could try::
    180 
    181    p.sort_stats(SortKey.TIME, SortKey.CUMULATIVE).print_stats(.5, 'init')
    182 
    183 This line sorts statistics with a primary key of time, and a secondary key of
    184 cumulative time, and then prints out some of the statistics. To be specific, the
    185 list is first culled down to 50% (re: ``.5``) of its original size, then only
    186 lines containing ``init`` are maintained, and that sub-sub-list is printed.
    187 
    188 If you wondered what functions called the above functions, you could now (``p``
    189 is still sorted according to the last criteria) do::
    190 
    191    p.print_callers(.5, 'init')
    192 
    193 and you would get a list of callers for each of the listed functions.
    194 
    195 If you want more functionality, you're going to have to read the manual, or
    196 guess what the following functions do::
    197 
    198    p.print_callees()
    199    p.add('restats')
    200 
    201 Invoked as a script, the :mod:`pstats` module is a statistics browser for
    202 reading and examining profile dumps.  It has a simple line-oriented interface
    203 (implemented using :mod:`cmd`) and interactive help.
    204 
    205 :mod:`profile` and :mod:`cProfile` Module Reference
    206 =======================================================
    207 
    208 .. module:: cProfile
    209 .. module:: profile
    210    :synopsis: Python source profiler.
    211 
    212 Both the :mod:`profile` and :mod:`cProfile` modules provide the following
    213 functions:
    214 
    215 .. function:: run(command, filename=None, sort=-1)
    216 
    217    This function takes a single argument that can be passed to the :func:`exec`
    218    function, and an optional file name.  In all cases this routine executes::
    219 
    220       exec(command, __main__.__dict__, __main__.__dict__)
    221 
    222    and gathers profiling statistics from the execution. If no file name is
    223    present, then this function automatically creates a :class:`~pstats.Stats`
    224    instance and prints a simple profiling report. If the sort value is specified,
    225    it is passed to this :class:`~pstats.Stats` instance to control how the
    226    results are sorted.
    227 
    228 .. function:: runctx(command, globals, locals, filename=None, sort=-1)
    229 
    230    This function is similar to :func:`run`, with added arguments to supply the
    231    globals and locals dictionaries for the *command* string. This routine
    232    executes::
    233 
    234       exec(command, globals, locals)
    235 
    236    and gathers profiling statistics as in the :func:`run` function above.
    237 
    238 .. class:: Profile(timer=None, timeunit=0.0, subcalls=True, builtins=True)
    239 
    240    This class is normally only used if more precise control over profiling is
    241    needed than what the :func:`cProfile.run` function provides.
    242 
    243    A custom timer can be supplied for measuring how long code takes to run via
    244    the *timer* argument. This must be a function that returns a single number
    245    representing the current time. If the number is an integer, the *timeunit*
    246    specifies a multiplier that specifies the duration of each unit of time. For
    247    example, if the timer returns times measured in thousands of seconds, the
    248    time unit would be ``.001``.
    249 
    250    Directly using the :class:`Profile` class allows formatting profile results
    251    without writing the profile data to a file::
    252 
    253       import cProfile, pstats, io
    254       from pstats import SortKey
    255       pr = cProfile.Profile()
    256       pr.enable()
    257       # ... do something ...
    258       pr.disable()
    259       s = io.StringIO()
    260       sortby = SortKey.CUMULATIVE
    261       ps = pstats.Stats(pr, stream=s).sort_stats(sortby)
    262       ps.print_stats()
    263       print(s.getvalue())
    264 
    265    .. method:: enable()
    266 
    267       Start collecting profiling data.
    268 
    269    .. method:: disable()
    270 
    271       Stop collecting profiling data.
    272 
    273    .. method:: create_stats()
    274 
    275       Stop collecting profiling data and record the results internally
    276       as the current profile.
    277 
    278    .. method:: print_stats(sort=-1)
    279 
    280       Create a :class:`~pstats.Stats` object based on the current
    281       profile and print the results to stdout.
    282 
    283    .. method:: dump_stats(filename)
    284 
    285       Write the results of the current profile to *filename*.
    286 
    287    .. method:: run(cmd)
    288 
    289       Profile the cmd via :func:`exec`.
    290 
    291    .. method:: runctx(cmd, globals, locals)
    292 
    293       Profile the cmd via :func:`exec` with the specified global and
    294       local environment.
    295 
    296    .. method:: runcall(func, *args, **kwargs)
    297 
    298       Profile ``func(*args, **kwargs)``
    299 
    300 Note that profiling will only work if the called command/function actually
    301 returns.  If the interpreter is terminated (e.g. via a :func:`sys.exit` call
    302 during the called command/function execution) no profiling results will be
    303 printed.
    304 
    305 .. _profile-stats:
    306 
    307 The :class:`Stats` Class
    308 ========================
    309 
    310 Analysis of the profiler data is done using the :class:`~pstats.Stats` class.
    311 
    312 .. module:: pstats
    313    :synopsis: Statistics object for use with the profiler.
    314 
    315 .. class:: Stats(*filenames or profile, stream=sys.stdout)
    316 
    317    This class constructor creates an instance of a "statistics object" from a
    318    *filename* (or list of filenames) or from a :class:`Profile` instance. Output
    319    will be printed to the stream specified by *stream*.
    320 
    321    The file selected by the above constructor must have been created by the
    322    corresponding version of :mod:`profile` or :mod:`cProfile`.  To be specific,
    323    there is *no* file compatibility guaranteed with future versions of this
    324    profiler, and there is no compatibility with files produced by other
    325    profilers, or the same profiler run on a different operating system.  If
    326    several files are provided, all the statistics for identical functions will
    327    be coalesced, so that an overall view of several processes can be considered
    328    in a single report.  If additional files need to be combined with data in an
    329    existing :class:`~pstats.Stats` object, the :meth:`~pstats.Stats.add` method
    330    can be used.
    331 
    332    Instead of reading the profile data from a file, a :class:`cProfile.Profile`
    333    or :class:`profile.Profile` object can be used as the profile data source.
    334 
    335    :class:`Stats` objects have the following methods:
    336 
    337    .. method:: strip_dirs()
    338 
    339       This method for the :class:`Stats` class removes all leading path
    340       information from file names.  It is very useful in reducing the size of
    341       the printout to fit within (close to) 80 columns.  This method modifies
    342       the object, and the stripped information is lost.  After performing a
    343       strip operation, the object is considered to have its entries in a
    344       "random" order, as it was just after object initialization and loading.
    345       If :meth:`~pstats.Stats.strip_dirs` causes two function names to be
    346       indistinguishable (they are on the same line of the same filename, and
    347       have the same function name), then the statistics for these two entries
    348       are accumulated into a single entry.
    349 
    350 
    351    .. method:: add(*filenames)
    352 
    353       This method of the :class:`Stats` class accumulates additional profiling
    354       information into the current profiling object.  Its arguments should refer
    355       to filenames created by the corresponding version of :func:`profile.run`
    356       or :func:`cProfile.run`. Statistics for identically named (re: file, line,
    357       name) functions are automatically accumulated into single function
    358       statistics.
    359 
    360 
    361    .. method:: dump_stats(filename)
    362 
    363       Save the data loaded into the :class:`Stats` object to a file named
    364       *filename*.  The file is created if it does not exist, and is overwritten
    365       if it already exists.  This is equivalent to the method of the same name
    366       on the :class:`profile.Profile` and :class:`cProfile.Profile` classes.
    367 
    368 
    369    .. method:: sort_stats(*keys)
    370 
    371       This method modifies the :class:`Stats` object by sorting it according to
    372       the supplied criteria.  The argument can be either a string or a SortKey
    373       enum identifying the basis of a sort (example: ``'time'``, ``'name'``,
    374       ``SortKey.TIME`` or ``SortKey.NAME``). The SortKey enums argument have
    375       advantage over the string argument in that it is more robust and less
    376       error prone.
    377 
    378       When more than one key is provided, then additional keys are used as
    379       secondary criteria when there is equality in all keys selected before
    380       them.  For example, ``sort_stats(SortKey.NAME, SortKey.FILE)`` will sort
    381       all the entries according to their function name, and resolve all ties
    382       (identical function names) by sorting by file name.
    383 
    384       For the string argument, abbreviations can be used for any key names, as
    385       long as the abbreviation is unambiguous.
    386 
    387       The following are the valid string and SortKey:
    388 
    389       +------------------+---------------------+----------------------+
    390       | Valid String Arg | Valid enum Arg      | Meaning              |
    391       +==================+=====================+======================+
    392       | ``'calls'``      | SortKey.CALLS       | call count           |
    393       +------------------+---------------------+----------------------+
    394       | ``'cumulative'`` | SortKey.CUMULATIVE  | cumulative time      |
    395       +------------------+---------------------+----------------------+
    396       | ``'cumtime'``    | N/A                 | cumulative time      |
    397       +------------------+---------------------+----------------------+
    398       | ``'file'``       | N/A                 | file name            |
    399       +------------------+---------------------+----------------------+
    400       | ``'filename'``   | SortKey.FILENAME    | file name            |
    401       +------------------+---------------------+----------------------+
    402       | ``'module'``     | N/A                 | file name            |
    403       +------------------+---------------------+----------------------+
    404       | ``'ncalls'``     | N/A                 | call count           |
    405       +------------------+---------------------+----------------------+
    406       | ``'pcalls'``     | SortKey.PCALLS      | primitive call count |
    407       +------------------+---------------------+----------------------+
    408       | ``'line'``       | SortKey.LINE        | line number          |
    409       +------------------+---------------------+----------------------+
    410       | ``'name'``       | SortKey.NAME        | function name        |
    411       +------------------+---------------------+----------------------+
    412       | ``'nfl'``        | SortKey.NFL         | name/file/line       |
    413       +------------------+---------------------+----------------------+
    414       | ``'stdname'``    | SortKey.STDNAME     | standard name        |
    415       +------------------+---------------------+----------------------+
    416       | ``'time'``       | SortKey.TIME        | internal time        |
    417       +------------------+---------------------+----------------------+
    418       | ``'tottime'``    | N/A                 | internal time        |
    419       +------------------+---------------------+----------------------+
    420 
    421       Note that all sorts on statistics are in descending order (placing most
    422       time consuming items first), where as name, file, and line number searches
    423       are in ascending order (alphabetical). The subtle distinction between
    424       ``SortKey.NFL`` and ``SortKey.STDNAME`` is that the standard name is a
    425       sort of the name as printed, which means that the embedded line numbers
    426       get compared in an odd way.  For example, lines 3, 20, and 40 would (if
    427       the file names were the same) appear in the string order 20, 3 and 40.
    428       In contrast, ``SortKey.NFL`` does a numeric compare of the line numbers.
    429       In fact, ``sort_stats(SortKey.NFL)`` is the same as
    430       ``sort_stats(SortKey.NAME, SortKey.FILENAME, SortKey.LINE)``.
    431 
    432       For backward-compatibility reasons, the numeric arguments ``-1``, ``0``,
    433       ``1``, and ``2`` are permitted.  They are interpreted as ``'stdname'``,
    434       ``'calls'``, ``'time'``, and ``'cumulative'`` respectively.  If this old
    435       style format (numeric) is used, only one sort key (the numeric key) will
    436       be used, and additional arguments will be silently ignored.
    437 
    438       .. For compatibility with the old profiler.
    439 
    440       .. versionadded:: 3.7
    441          Added the SortKey enum.
    442 
    443    .. method:: reverse_order()
    444 
    445       This method for the :class:`Stats` class reverses the ordering of the
    446       basic list within the object.  Note that by default ascending vs
    447       descending order is properly selected based on the sort key of choice.
    448 
    449       .. This method is provided primarily for compatibility with the old
    450          profiler.
    451 
    452 
    453    .. method:: print_stats(*restrictions)
    454 
    455       This method for the :class:`Stats` class prints out a report as described
    456       in the :func:`profile.run` definition.
    457 
    458       The order of the printing is based on the last
    459       :meth:`~pstats.Stats.sort_stats` operation done on the object (subject to
    460       caveats in :meth:`~pstats.Stats.add` and
    461       :meth:`~pstats.Stats.strip_dirs`).
    462 
    463       The arguments provided (if any) can be used to limit the list down to the
    464       significant entries.  Initially, the list is taken to be the complete set
    465       of profiled functions.  Each restriction is either an integer (to select a
    466       count of lines), or a decimal fraction between 0.0 and 1.0 inclusive (to
    467       select a percentage of lines), or a string that will interpreted as a
    468       regular expression (to pattern match the standard name that is printed).
    469       If several restrictions are provided, then they are applied sequentially.
    470       For example::
    471 
    472          print_stats(.1, 'foo:')
    473 
    474       would first limit the printing to first 10% of list, and then only print
    475       functions that were part of filename :file:`.\*foo:`.  In contrast, the
    476       command::
    477 
    478          print_stats('foo:', .1)
    479 
    480       would limit the list to all functions having file names :file:`.\*foo:`,
    481       and then proceed to only print the first 10% of them.
    482 
    483 
    484    .. method:: print_callers(*restrictions)
    485 
    486       This method for the :class:`Stats` class prints a list of all functions
    487       that called each function in the profiled database.  The ordering is
    488       identical to that provided by :meth:`~pstats.Stats.print_stats`, and the
    489       definition of the restricting argument is also identical.  Each caller is
    490       reported on its own line.  The format differs slightly depending on the
    491       profiler that produced the stats:
    492 
    493       * With :mod:`profile`, a number is shown in parentheses after each caller
    494         to show how many times this specific call was made.  For convenience, a
    495         second non-parenthesized number repeats the cumulative time spent in the
    496         function at the right.
    497 
    498       * With :mod:`cProfile`, each caller is preceded by three numbers: the
    499         number of times this specific call was made, and the total and
    500         cumulative times spent in the current function while it was invoked by
    501         this specific caller.
    502 
    503 
    504    .. method:: print_callees(*restrictions)
    505 
    506       This method for the :class:`Stats` class prints a list of all function
    507       that were called by the indicated function.  Aside from this reversal of
    508       direction of calls (re: called vs was called by), the arguments and
    509       ordering are identical to the :meth:`~pstats.Stats.print_callers` method.
    510 
    511 
    512 .. _deterministic-profiling:
    513 
    514 What Is Deterministic Profiling?
    515 ================================
    516 
    517 :dfn:`Deterministic profiling` is meant to reflect the fact that all *function
    518 call*, *function return*, and *exception* events are monitored, and precise
    519 timings are made for the intervals between these events (during which time the
    520 user's code is executing).  In contrast, :dfn:`statistical profiling` (which is
    521 not done by this module) randomly samples the effective instruction pointer, and
    522 deduces where time is being spent.  The latter technique traditionally involves
    523 less overhead (as the code does not need to be instrumented), but provides only
    524 relative indications of where time is being spent.
    525 
    526 In Python, since there is an interpreter active during execution, the presence
    527 of instrumented code is not required to do deterministic profiling.  Python
    528 automatically provides a :dfn:`hook` (optional callback) for each event.  In
    529 addition, the interpreted nature of Python tends to add so much overhead to
    530 execution, that deterministic profiling tends to only add small processing
    531 overhead in typical applications.  The result is that deterministic profiling is
    532 not that expensive, yet provides extensive run time statistics about the
    533 execution of a Python program.
    534 
    535 Call count statistics can be used to identify bugs in code (surprising counts),
    536 and to identify possible inline-expansion points (high call counts).  Internal
    537 time statistics can be used to identify "hot loops" that should be carefully
    538 optimized.  Cumulative time statistics should be used to identify high level
    539 errors in the selection of algorithms.  Note that the unusual handling of
    540 cumulative times in this profiler allows statistics for recursive
    541 implementations of algorithms to be directly compared to iterative
    542 implementations.
    543 
    544 
    545 .. _profile-limitations:
    546 
    547 Limitations
    548 ===========
    549 
    550 One limitation has to do with accuracy of timing information. There is a
    551 fundamental problem with deterministic profilers involving accuracy.  The most
    552 obvious restriction is that the underlying "clock" is only ticking at a rate
    553 (typically) of about .001 seconds.  Hence no measurements will be more accurate
    554 than the underlying clock.  If enough measurements are taken, then the "error"
    555 will tend to average out. Unfortunately, removing this first error induces a
    556 second source of error.
    557 
    558 The second problem is that it "takes a while" from when an event is dispatched
    559 until the profiler's call to get the time actually *gets* the state of the
    560 clock.  Similarly, there is a certain lag when exiting the profiler event
    561 handler from the time that the clock's value was obtained (and then squirreled
    562 away), until the user's code is once again executing.  As a result, functions
    563 that are called many times, or call many functions, will typically accumulate
    564 this error. The error that accumulates in this fashion is typically less than
    565 the accuracy of the clock (less than one clock tick), but it *can* accumulate
    566 and become very significant.
    567 
    568 The problem is more important with :mod:`profile` than with the lower-overhead
    569 :mod:`cProfile`.  For this reason, :mod:`profile` provides a means of
    570 calibrating itself for a given platform so that this error can be
    571 probabilistically (on the average) removed. After the profiler is calibrated, it
    572 will be more accurate (in a least square sense), but it will sometimes produce
    573 negative numbers (when call counts are exceptionally low, and the gods of
    574 probability work against you :-). )  Do *not* be alarmed by negative numbers in
    575 the profile.  They should *only* appear if you have calibrated your profiler,
    576 and the results are actually better than without calibration.
    577 
    578 
    579 .. _profile-calibration:
    580 
    581 Calibration
    582 ===========
    583 
    584 The profiler of the :mod:`profile` module subtracts a constant from each event
    585 handling time to compensate for the overhead of calling the time function, and
    586 socking away the results.  By default, the constant is 0. The following
    587 procedure can be used to obtain a better constant for a given platform (see
    588 :ref:`profile-limitations`). ::
    589 
    590    import profile
    591    pr = profile.Profile()
    592    for i in range(5):
    593        print(pr.calibrate(10000))
    594 
    595 The method executes the number of Python calls given by the argument, directly
    596 and again under the profiler, measuring the time for both. It then computes the
    597 hidden overhead per profiler event, and returns that as a float.  For example,
    598 on a 1.8Ghz Intel Core i5 running Mac OS X, and using Python's time.process_time() as
    599 the timer, the magical number is about 4.04e-6.
    600 
    601 The object of this exercise is to get a fairly consistent result. If your
    602 computer is *very* fast, or your timer function has poor resolution, you might
    603 have to pass 100000, or even 1000000, to get consistent results.
    604 
    605 When you have a consistent answer, there are three ways you can use it::
    606 
    607    import profile
    608 
    609    # 1. Apply computed bias to all Profile instances created hereafter.
    610    profile.Profile.bias = your_computed_bias
    611 
    612    # 2. Apply computed bias to a specific Profile instance.
    613    pr = profile.Profile()
    614    pr.bias = your_computed_bias
    615 
    616    # 3. Specify computed bias in instance constructor.
    617    pr = profile.Profile(bias=your_computed_bias)
    618 
    619 If you have a choice, you are better off choosing a smaller constant, and then
    620 your results will "less often" show up as negative in profile statistics.
    621 
    622 .. _profile-timers:
    623 
    624 Using a custom timer
    625 ====================
    626 
    627 If you want to change how current time is determined (for example, to force use
    628 of wall-clock time or elapsed process time), pass the timing function you want
    629 to the :class:`Profile` class constructor::
    630 
    631     pr = profile.Profile(your_time_func)
    632 
    633 The resulting profiler will then call ``your_time_func``. Depending on whether
    634 you are using :class:`profile.Profile` or :class:`cProfile.Profile`,
    635 ``your_time_func``'s return value will be interpreted differently:
    636 
    637 :class:`profile.Profile`
    638    ``your_time_func`` should return a single number, or a list of numbers whose
    639    sum is the current time (like what :func:`os.times` returns).  If the
    640    function returns a single time number, or the list of returned numbers has
    641    length 2, then you will get an especially fast version of the dispatch
    642    routine.
    643 
    644    Be warned that you should calibrate the profiler class for the timer function
    645    that you choose (see :ref:`profile-calibration`).  For most machines, a timer
    646    that returns a lone integer value will provide the best results in terms of
    647    low overhead during profiling.  (:func:`os.times` is *pretty* bad, as it
    648    returns a tuple of floating point values).  If you want to substitute a
    649    better timer in the cleanest fashion, derive a class and hardwire a
    650    replacement dispatch method that best handles your timer call, along with the
    651    appropriate calibration constant.
    652 
    653 :class:`cProfile.Profile`
    654    ``your_time_func`` should return a single number.  If it returns integers,
    655    you can also invoke the class constructor with a second argument specifying
    656    the real duration of one unit of time.  For example, if
    657    ``your_integer_time_func`` returns times measured in thousands of seconds,
    658    you would construct the :class:`Profile` instance as follows::
    659 
    660       pr = cProfile.Profile(your_integer_time_func, 0.001)
    661 
    662    As the :class:`cProfile.Profile` class cannot be calibrated, custom timer
    663    functions should be used with care and should be as fast as possible.  For
    664    the best results with a custom timer, it might be necessary to hard-code it
    665    in the C source of the internal :mod:`_lsprof` module.
    666 
    667 Python 3.3 adds several new functions in :mod:`time` that can be used to make
    668 precise measurements of process or wall-clock time. For example, see
    669 :func:`time.perf_counter`.
    670