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      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 three 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    .. versionadded:: 2.5
     34 
     35 2. :mod:`profile`, a pure Python module whose interface is imitated by
     36    :mod:`cProfile`, but which adds significant overhead to profiled programs.
     37    If you're trying to extend the profiler in some way, the task might be easier
     38    with this module.  Originally designed and written by Jim Roskind.
     39 
     40    .. versionchanged:: 2.4
     41       Now also reports the time spent in calls to built-in functions
     42       and methods.
     43 
     44 3. :mod:`hotshot` was an experimental C module that focused on minimizing
     45    the overhead of profiling, at the expense of longer data
     46    post-processing times.  It is no longer maintained and may be
     47    dropped in a future version of Python.
     48 
     49 
     50    .. versionchanged:: 2.5
     51       The results should be more meaningful than in the past: the timing core
     52       contained a critical bug.
     53 
     54 The :mod:`profile` and :mod:`cProfile` modules export the same interface, so
     55 they are mostly interchangeable; :mod:`cProfile` has a much lower overhead but
     56 is newer and might not be available on all systems.
     57 :mod:`cProfile` is really a compatibility layer on top of the internal
     58 :mod:`_lsprof` module.  The :mod:`hotshot` module is reserved for specialized
     59 usage.
     60 
     61 .. note::
     62 
     63    The profiler modules are designed to provide an execution profile for a given
     64    program, not for benchmarking purposes (for that, there is :mod:`timeit` for
     65    reasonably accurate results).  This particularly applies to benchmarking
     66    Python code against C code: the profilers introduce overhead for Python code,
     67    but not for C-level functions, and so the C code would seem faster than any
     68    Python one.
     69 
     70 
     71 .. _profile-instant:
     72 
     73 Instant User's Manual
     74 =====================
     75 
     76 This section is provided for users that "don't want to read the manual." It
     77 provides a very brief overview, and allows a user to rapidly perform profiling
     78 on an existing application.
     79 
     80 To profile a function that takes a single argument, you can do::
     81 
     82    import cProfile
     83    import re
     84    cProfile.run('re.compile("foo|bar")')
     85 
     86 (Use :mod:`profile` instead of :mod:`cProfile` if the latter is not available on
     87 your system.)
     88 
     89 The above action would run :func:`re.compile` and print profile results like
     90 the following::
     91 
     92          197 function calls (192 primitive calls) in 0.002 seconds
     93 
     94    Ordered by: standard name
     95 
     96    ncalls  tottime  percall  cumtime  percall filename:lineno(function)
     97         1    0.000    0.000    0.001    0.001 <string>:1(<module>)
     98         1    0.000    0.000    0.001    0.001 re.py:212(compile)
     99         1    0.000    0.000    0.001    0.001 re.py:268(_compile)
    100         1    0.000    0.000    0.000    0.000 sre_compile.py:172(_compile_charset)
    101         1    0.000    0.000    0.000    0.000 sre_compile.py:201(_optimize_charset)
    102         4    0.000    0.000    0.000    0.000 sre_compile.py:25(_identityfunction)
    103       3/1    0.000    0.000    0.000    0.000 sre_compile.py:33(_compile)
    104 
    105 The first line indicates that 197 calls were monitored.  Of those calls, 192
    106 were :dfn:`primitive`, meaning that the call was not induced via recursion. The
    107 next line: ``Ordered by: standard name``, indicates that the text string in the
    108 far right column was used to sort the output. The column headings include:
    109 
    110 ncalls
    111    for the number of calls,
    112 
    113 tottime
    114     for the total time spent in the given function (and excluding time made in
    115     calls to sub-functions)
    116 
    117 percall
    118    is the quotient of ``tottime`` divided by ``ncalls``
    119 
    120 cumtime
    121    is the cumulative time spent in this and all subfunctions (from invocation
    122    till exit). This figure is accurate *even* for recursive functions.
    123 
    124 percall
    125    is the quotient of ``cumtime`` divided by primitive calls
    126 
    127 filename:lineno(function)
    128    provides the respective data of each function
    129 
    130 When there are two numbers in the first column (for example ``3/1``), it means
    131 that the function recursed.  The second value is the number of primitive calls
    132 and the former is the total number of calls.  Note that when the function does
    133 not recurse, these two values are the same, and only the single figure is
    134 printed.
    135 
    136 Instead of printing the output at the end of the profile run, you can save the
    137 results to a file by specifying a filename to the :func:`run` function::
    138 
    139    import cProfile
    140    import re
    141    cProfile.run('re.compile("foo|bar")', 'restats')
    142 
    143 The :class:`pstats.Stats` class reads profile results from a file and formats
    144 them in various ways.
    145 
    146 The file :mod:`cProfile` can also be invoked as a script to profile another
    147 script.  For example::
    148 
    149    python -m cProfile [-o output_file] [-s sort_order] myscript.py
    150 
    151 ``-o`` writes the profile results to a file instead of to stdout
    152 
    153 ``-s`` specifies one of the :func:`~pstats.Stats.sort_stats` sort values to sort
    154 the output by. This only applies when ``-o`` is not supplied.
    155 
    156 The :mod:`pstats` module's :class:`~pstats.Stats` class has a variety of methods
    157 for manipulating and printing the data saved into a profile results file::
    158 
    159    import pstats
    160    p = pstats.Stats('restats')
    161    p.strip_dirs().sort_stats(-1).print_stats()
    162 
    163 The :meth:`~pstats.Stats.strip_dirs` method removed the extraneous path from all
    164 the module names. The :meth:`~pstats.Stats.sort_stats` method sorted all the
    165 entries according to the standard module/line/name string that is printed. The
    166 :meth:`~pstats.Stats.print_stats` method printed out all the statistics.  You
    167 might try the following sort calls::
    168 
    169    p.sort_stats('name')
    170    p.print_stats()
    171 
    172 The first call will actually sort the list by function name, and the second call
    173 will print out the statistics.  The following are some interesting calls to
    174 experiment with::
    175 
    176    p.sort_stats('cumulative').print_stats(10)
    177 
    178 This sorts the profile by cumulative time in a function, and then only prints
    179 the ten most significant lines.  If you want to understand what algorithms are
    180 taking time, the above line is what you would use.
    181 
    182 If you were looking to see what functions were looping a lot, and taking a lot
    183 of time, you would do::
    184 
    185    p.sort_stats('time').print_stats(10)
    186 
    187 to sort according to time spent within each function, and then print the
    188 statistics for the top ten functions.
    189 
    190 You might also try::
    191 
    192    p.sort_stats('file').print_stats('__init__')
    193 
    194 This will sort all the statistics by file name, and then print out statistics
    195 for only the class init methods (since they are spelled with ``__init__`` in
    196 them).  As one final example, you could try::
    197 
    198    p.sort_stats('time', 'cum').print_stats(.5, 'init')
    199 
    200 This line sorts statistics with a primary key of time, and a secondary key of
    201 cumulative time, and then prints out some of the statistics. To be specific, the
    202 list is first culled down to 50% (re: ``.5``) of its original size, then only
    203 lines containing ``init`` are maintained, and that sub-sub-list is printed.
    204 
    205 If you wondered what functions called the above functions, you could now (``p``
    206 is still sorted according to the last criteria) do::
    207 
    208    p.print_callers(.5, 'init')
    209 
    210 and you would get a list of callers for each of the listed functions.
    211 
    212 If you want more functionality, you're going to have to read the manual, or
    213 guess what the following functions do::
    214 
    215    p.print_callees()
    216    p.add('restats')
    217 
    218 Invoked as a script, the :mod:`pstats` module is a statistics browser for
    219 reading and examining profile dumps.  It has a simple line-oriented interface
    220 (implemented using :mod:`cmd`) and interactive help.
    221 
    222 :mod:`profile` and :mod:`cProfile` Module Reference
    223 =======================================================
    224 
    225 .. module:: cProfile
    226 .. module:: profile
    227    :synopsis: Python source profiler.
    228 
    229 Both the :mod:`profile` and :mod:`cProfile` modules provide the following
    230 functions:
    231 
    232 .. function:: run(command, filename=None, sort=-1)
    233 
    234    This function takes a single argument that can be passed to the :func:`exec`
    235    function, and an optional file name.  In all cases this routine executes::
    236 
    237       exec(command, __main__.__dict__, __main__.__dict__)
    238 
    239    and gathers profiling statistics from the execution. If no file name is
    240    present, then this function automatically creates a :class:`~pstats.Stats`
    241    instance and prints a simple profiling report. If the sort value is specified
    242    it is passed to this :class:`~pstats.Stats` instance to control how the
    243    results are sorted.
    244 
    245 .. function:: runctx(command, globals, locals, filename=None)
    246 
    247    This function is similar to :func:`run`, with added arguments to supply the
    248    globals and locals dictionaries for the *command* string. This routine
    249    executes::
    250 
    251       exec(command, globals, locals)
    252 
    253    and gathers profiling statistics as in the :func:`run` function above.
    254 
    255 .. class:: Profile(timer=None, timeunit=0.0, subcalls=True, builtins=True)
    256 
    257    This class is normally only used if more precise control over profiling is
    258    needed than what the :func:`cProfile.run` function provides.
    259 
    260    A custom timer can be supplied for measuring how long code takes to run via
    261    the *timer* argument. This must be a function that returns a single number
    262    representing the current time. If the number is an integer, the *timeunit*
    263    specifies a multiplier that specifies the duration of each unit of time. For
    264    example, if the timer returns times measured in thousands of seconds, the
    265    time unit would be ``.001``.
    266 
    267    Directly using the :class:`Profile` class allows formatting profile results
    268    without writing the profile data to a file::
    269 
    270       import cProfile, pstats, StringIO
    271       pr = cProfile.Profile()
    272       pr.enable()
    273       # ... do something ...
    274       pr.disable()
    275       s = StringIO.StringIO()
    276       sortby = 'cumulative'
    277       ps = pstats.Stats(pr, stream=s).sort_stats(sortby)
    278       ps.print_stats()
    279       print s.getvalue()
    280 
    281    .. method:: enable()
    282 
    283       Start collecting profiling data.
    284 
    285    .. method:: disable()
    286 
    287       Stop collecting profiling data.
    288 
    289    .. method:: create_stats()
    290 
    291       Stop collecting profiling data and record the results internally
    292       as the current profile.
    293 
    294    .. method:: print_stats(sort=-1)
    295 
    296       Create a :class:`~pstats.Stats` object based on the current
    297       profile and print the results to stdout.
    298 
    299    .. method:: dump_stats(filename)
    300 
    301       Write the results of the current profile to *filename*.
    302 
    303    .. method:: run(cmd)
    304 
    305       Profile the cmd via :func:`exec`.
    306 
    307    .. method:: runctx(cmd, globals, locals)
    308 
    309       Profile the cmd via :func:`exec` with the specified global and
    310       local environment.
    311 
    312    .. method:: runcall(func, *args, **kwargs)
    313 
    314       Profile ``func(*args, **kwargs)``
    315 
    316 .. _profile-stats:
    317 
    318 The :class:`Stats` Class
    319 ========================
    320 
    321 Analysis of the profiler data is done using the :class:`~pstats.Stats` class.
    322 
    323 .. module:: pstats
    324    :synopsis: Statistics object for use with the profiler.
    325 
    326 .. class:: Stats(*filenames or profile, stream=sys.stdout)
    327 
    328    This class constructor creates an instance of a "statistics object" from a
    329    *filename* (or list of filenames) or from a :class:`Profile` instance. Output
    330    will be printed to the stream specified by *stream*.
    331 
    332    The file selected by the above constructor must have been created by the
    333    corresponding version of :mod:`profile` or :mod:`cProfile`.  To be specific,
    334    there is *no* file compatibility guaranteed with future versions of this
    335    profiler, and there is no compatibility with files produced by other
    336    profilers.  If several files are provided, all the statistics for identical
    337    functions will be coalesced, so that an overall view of several processes can
    338    be considered in a single report.  If additional files need to be combined
    339    with data in an existing :class:`~pstats.Stats` object, the
    340    :meth:`~pstats.Stats.add` method can be used.
    341 
    342    Instead of reading the profile data from a file, a :class:`cProfile.Profile`
    343    or :class:`profile.Profile` object can be used as the profile data source.
    344 
    345    :class:`Stats` objects have the following methods:
    346 
    347    .. method:: strip_dirs()
    348 
    349       This method for the :class:`Stats` class removes all leading path
    350       information from file names.  It is very useful in reducing the size of
    351       the printout to fit within (close to) 80 columns.  This method modifies
    352       the object, and the stripped information is lost.  After performing a
    353       strip operation, the object is considered to have its entries in a
    354       "random" order, as it was just after object initialization and loading.
    355       If :meth:`~pstats.Stats.strip_dirs` causes two function names to be
    356       indistinguishable (they are on the same line of the same filename, and
    357       have the same function name), then the statistics for these two entries
    358       are accumulated into a single entry.
    359 
    360 
    361    .. method:: add(*filenames)
    362 
    363       This method of the :class:`Stats` class accumulates additional profiling
    364       information into the current profiling object.  Its arguments should refer
    365       to filenames created by the corresponding version of :func:`profile.run`
    366       or :func:`cProfile.run`. Statistics for identically named (re: file, line,
    367       name) functions are automatically accumulated into single function
    368       statistics.
    369 
    370 
    371    .. method:: dump_stats(filename)
    372 
    373       Save the data loaded into the :class:`Stats` object to a file named
    374       *filename*.  The file is created if it does not exist, and is overwritten
    375       if it already exists.  This is equivalent to the method of the same name
    376       on the :class:`profile.Profile` and :class:`cProfile.Profile` classes.
    377 
    378    .. versionadded:: 2.3
    379 
    380 
    381    .. method:: sort_stats(*keys)
    382 
    383       This method modifies the :class:`Stats` object by sorting it according to
    384       the supplied criteria.  The argument is typically a string identifying the
    385       basis of a sort (example: ``'time'`` or ``'name'``).
    386 
    387       When more than one key is provided, then additional keys are used as
    388       secondary criteria when there is equality in all keys selected before
    389       them.  For example, ``sort_stats('name', 'file')`` will sort all the
    390       entries according to their function name, and resolve all ties (identical
    391       function names) by sorting by file name.
    392 
    393       Abbreviations can be used for any key names, as long as the abbreviation
    394       is unambiguous.  The following are the keys currently defined:
    395 
    396       +------------------+----------------------+
    397       | Valid Arg        | Meaning              |
    398       +==================+======================+
    399       | ``'calls'``      | call count           |
    400       +------------------+----------------------+
    401       | ``'cumulative'`` | cumulative time      |
    402       +------------------+----------------------+
    403       | ``'cumtime'``    | cumulative time      |
    404       +------------------+----------------------+
    405       | ``'file'``       | file name            |
    406       +------------------+----------------------+
    407       | ``'filename'``   | file name            |
    408       +------------------+----------------------+
    409       | ``'module'``     | file name            |
    410       +------------------+----------------------+
    411       | ``'ncalls'``     | call count           |
    412       +------------------+----------------------+
    413       | ``'pcalls'``     | primitive call count |
    414       +------------------+----------------------+
    415       | ``'line'``       | line number          |
    416       +------------------+----------------------+
    417       | ``'name'``       | function name        |
    418       +------------------+----------------------+
    419       | ``'nfl'``        | name/file/line       |
    420       +------------------+----------------------+
    421       | ``'stdname'``    | standard name        |
    422       +------------------+----------------------+
    423       | ``'time'``       | internal time        |
    424       +------------------+----------------------+
    425       | ``'tottime'``    | internal time        |
    426       +------------------+----------------------+
    427 
    428       Note that all sorts on statistics are in descending order (placing most
    429       time consuming items first), where as name, file, and line number searches
    430       are in ascending order (alphabetical). The subtle distinction between
    431       ``'nfl'`` and ``'stdname'`` is that the standard name is a sort of the
    432       name as printed, which means that the embedded line numbers get compared
    433       in an odd way.  For example, lines 3, 20, and 40 would (if the file names
    434       were the same) appear in the string order 20, 3 and 40.  In contrast,
    435       ``'nfl'`` does a numeric compare of the line numbers.  In fact,
    436       ``sort_stats('nfl')`` is the same as ``sort_stats('name', 'file',
    437       'line')``.
    438 
    439       For backward-compatibility reasons, the numeric arguments ``-1``, ``0``,
    440       ``1``, and ``2`` are permitted.  They are interpreted as ``'stdname'``,
    441       ``'calls'``, ``'time'``, and ``'cumulative'`` respectively.  If this old
    442       style format (numeric) is used, only one sort key (the numeric key) will
    443       be used, and additional arguments will be silently ignored.
    444 
    445       .. For compatibility with the old profiler.
    446 
    447 
    448    .. method:: reverse_order()
    449 
    450       This method for the :class:`Stats` class reverses the ordering of the
    451       basic list within the object.  Note that by default ascending vs
    452       descending order is properly selected based on the sort key of choice.
    453 
    454       .. This method is provided primarily for compatibility with the old
    455          profiler.
    456 
    457 
    458    .. method:: print_stats(*restrictions)
    459 
    460       This method for the :class:`Stats` class prints out a report as described
    461       in the :func:`profile.run` definition.
    462 
    463       The order of the printing is based on the last
    464       :meth:`~pstats.Stats.sort_stats` operation done on the object (subject to
    465       caveats in :meth:`~pstats.Stats.add` and
    466       :meth:`~pstats.Stats.strip_dirs`).
    467 
    468       The arguments provided (if any) can be used to limit the list down to the
    469       significant entries.  Initially, the list is taken to be the complete set
    470       of profiled functions.  Each restriction is either an integer (to select a
    471       count of lines), or a decimal fraction between 0.0 and 1.0 inclusive (to
    472       select a percentage of lines), or a regular expression (to pattern match
    473       the standard name that is printed.  If several restrictions are provided,
    474       then they are applied sequentially.  For example::
    475 
    476          print_stats(.1, 'foo:')
    477 
    478       would first limit the printing to first 10% of list, and then only print
    479       functions that were part of filename :file:`.\*foo:`.  In contrast, the
    480       command::
    481 
    482          print_stats('foo:', .1)
    483 
    484       would limit the list to all functions having file names :file:`.\*foo:`,
    485       and then proceed to only print the first 10% of them.
    486 
    487 
    488    .. method:: print_callers(*restrictions)
    489 
    490       This method for the :class:`Stats` class prints a list of all functions
    491       that called each function in the profiled database.  The ordering is
    492       identical to that provided by :meth:`~pstats.Stats.print_stats`, and the
    493       definition of the restricting argument is also identical.  Each caller is
    494       reported on its own line.  The format differs slightly depending on the
    495       profiler that produced the stats:
    496 
    497       * With :mod:`profile`, a number is shown in parentheses after each caller
    498         to show how many times this specific call was made.  For convenience, a
    499         second non-parenthesized number repeats the cumulative time spent in the
    500         function at the right.
    501 
    502       * With :mod:`cProfile`, each caller is preceded by three numbers: the
    503         number of times this specific call was made, and the total and
    504         cumulative times spent in the current function while it was invoked by
    505         this specific caller.
    506 
    507 
    508    .. method:: print_callees(*restrictions)
    509 
    510       This method for the :class:`Stats` class prints a list of all function
    511       that were called by the indicated function.  Aside from this reversal of
    512       direction of calls (re: called vs was called by), the arguments and
    513       ordering are identical to the :meth:`~pstats.Stats.print_callers` method.
    514 
    515 
    516 .. _deterministic-profiling:
    517 
    518 What Is Deterministic Profiling?
    519 ================================
    520 
    521 :dfn:`Deterministic profiling` is meant to reflect the fact that all *function
    522 call*, *function return*, and *exception* events are monitored, and precise
    523 timings are made for the intervals between these events (during which time the
    524 user's code is executing).  In contrast, :dfn:`statistical profiling` (which is
    525 not done by this module) randomly samples the effective instruction pointer, and
    526 deduces where time is being spent.  The latter technique traditionally involves
    527 less overhead (as the code does not need to be instrumented), but provides only
    528 relative indications of where time is being spent.
    529 
    530 In Python, since there is an interpreter active during execution, the presence
    531 of instrumented code is not required to do deterministic profiling.  Python
    532 automatically provides a :dfn:`hook` (optional callback) for each event.  In
    533 addition, the interpreted nature of Python tends to add so much overhead to
    534 execution, that deterministic profiling tends to only add small processing
    535 overhead in typical applications.  The result is that deterministic profiling is
    536 not that expensive, yet provides extensive run time statistics about the
    537 execution of a Python program.
    538 
    539 Call count statistics can be used to identify bugs in code (surprising counts),
    540 and to identify possible inline-expansion points (high call counts).  Internal
    541 time statistics can be used to identify "hot loops" that should be carefully
    542 optimized.  Cumulative time statistics should be used to identify high level
    543 errors in the selection of algorithms.  Note that the unusual handling of
    544 cumulative times in this profiler allows statistics for recursive
    545 implementations of algorithms to be directly compared to iterative
    546 implementations.
    547 
    548 
    549 .. _profile-limitations:
    550 
    551 Limitations
    552 ===========
    553 
    554 One limitation has to do with accuracy of timing information. There is a
    555 fundamental problem with deterministic profilers involving accuracy.  The most
    556 obvious restriction is that the underlying "clock" is only ticking at a rate
    557 (typically) of about .001 seconds.  Hence no measurements will be more accurate
    558 than the underlying clock.  If enough measurements are taken, then the "error"
    559 will tend to average out. Unfortunately, removing this first error induces a
    560 second source of error.
    561 
    562 The second problem is that it "takes a while" from when an event is dispatched
    563 until the profiler's call to get the time actually *gets* the state of the
    564 clock.  Similarly, there is a certain lag when exiting the profiler event
    565 handler from the time that the clock's value was obtained (and then squirreled
    566 away), until the user's code is once again executing.  As a result, functions
    567 that are called many times, or call many functions, will typically accumulate
    568 this error. The error that accumulates in this fashion is typically less than
    569 the accuracy of the clock (less than one clock tick), but it *can* accumulate
    570 and become very significant.
    571 
    572 The problem is more important with :mod:`profile` than with the lower-overhead
    573 :mod:`cProfile`.  For this reason, :mod:`profile` provides a means of
    574 calibrating itself for a given platform so that this error can be
    575 probabilistically (on the average) removed. After the profiler is calibrated, it
    576 will be more accurate (in a least square sense), but it will sometimes produce
    577 negative numbers (when call counts are exceptionally low, and the gods of
    578 probability work against you :-). )  Do *not* be alarmed by negative numbers in
    579 the profile.  They should *only* appear if you have calibrated your profiler,
    580 and the results are actually better than without calibration.
    581 
    582 
    583 .. _profile-calibration:
    584 
    585 Calibration
    586 ===========
    587 
    588 The profiler of the :mod:`profile` module subtracts a constant from each event
    589 handling time to compensate for the overhead of calling the time function, and
    590 socking away the results.  By default, the constant is 0. The following
    591 procedure can be used to obtain a better constant for a given platform (see
    592 :ref:`profile-limitations`). ::
    593 
    594    import profile
    595    pr = profile.Profile()
    596    for i in range(5):
    597        print pr.calibrate(10000)
    598 
    599 The method executes the number of Python calls given by the argument, directly
    600 and again under the profiler, measuring the time for both. It then computes the
    601 hidden overhead per profiler event, and returns that as a float.  For example,
    602 on a 1.8Ghz Intel Core i5 running Mac OS X, and using Python's time.clock() as
    603 the timer, the magical number is about 4.04e-6.
    604 
    605 The object of this exercise is to get a fairly consistent result. If your
    606 computer is *very* fast, or your timer function has poor resolution, you might
    607 have to pass 100000, or even 1000000, to get consistent results.
    608 
    609 When you have a consistent answer, there are three ways you can use it: [#]_ ::
    610 
    611    import profile
    612 
    613    # 1. Apply computed bias to all Profile instances created hereafter.
    614    profile.Profile.bias = your_computed_bias
    615 
    616    # 2. Apply computed bias to a specific Profile instance.
    617    pr = profile.Profile()
    618    pr.bias = your_computed_bias
    619 
    620    # 3. Specify computed bias in instance constructor.
    621    pr = profile.Profile(bias=your_computed_bias)
    622 
    623 If you have a choice, you are better off choosing a smaller constant, and then
    624 your results will "less often" show up as negative in profile statistics.
    625 
    626 .. _profile-timers:
    627 
    628 Using a custom timer
    629 ====================
    630 
    631 If you want to change how current time is determined (for example, to force use
    632 of wall-clock time or elapsed process time), pass the timing function you want
    633 to the :class:`Profile` class constructor::
    634 
    635     pr = profile.Profile(your_time_func)
    636 
    637 The resulting profiler will then call ``your_time_func``. Depending on whether
    638 you are using :class:`profile.Profile` or :class:`cProfile.Profile`,
    639 ``your_time_func``'s return value will be interpreted differently:
    640 
    641 :class:`profile.Profile`
    642    ``your_time_func`` should return a single number, or a list of numbers whose
    643    sum is the current time (like what :func:`os.times` returns).  If the
    644    function returns a single time number, or the list of returned numbers has
    645    length 2, then you will get an especially fast version of the dispatch
    646    routine.
    647 
    648    Be warned that you should calibrate the profiler class for the timer function
    649    that you choose (see :ref:`profile-calibration`).  For most machines, a timer
    650    that returns a lone integer value will provide the best results in terms of
    651    low overhead during profiling.  (:func:`os.times` is *pretty* bad, as it
    652    returns a tuple of floating point values).  If you want to substitute a
    653    better timer in the cleanest fashion, derive a class and hardwire a
    654    replacement dispatch method that best handles your timer call, along with the
    655    appropriate calibration constant.
    656 
    657 :class:`cProfile.Profile`
    658    ``your_time_func`` should return a single number.  If it returns integers,
    659    you can also invoke the class constructor with a second argument specifying
    660    the real duration of one unit of time.  For example, if
    661    ``your_integer_time_func`` returns times measured in thousands of seconds,
    662    you would construct the :class:`Profile` instance as follows::
    663 
    664       pr = cProfile.Profile(your_integer_time_func, 0.001)
    665 
    666    As the :class:`cProfile.Profile` class cannot be calibrated, custom timer
    667    functions should be used with care and should be as fast as possible.  For
    668    the best results with a custom timer, it might be necessary to hard-code it
    669    in the C source of the internal :mod:`_lsprof` module.
    670 
    671 
    672 .. rubric:: Footnotes
    673 
    674 .. [#] Prior to Python 2.2, it was necessary to edit the profiler source code to
    675    embed the bias as a literal number.  You still can, but that method is no longer
    676    described, because no longer needed.
    677