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-\chapter{The Python Profilers \label{profile}}
-
-\sectionauthor{James Roskind}{}
-
-Copyright \copyright{} 1994, by InfoSeek Corporation, all rights reserved.
-\index{InfoSeek Corporation}
-
-Written by James Roskind.\footnote{
- Updated and converted to \LaTeX\ by Guido van Rossum.
- Further updated by Armin Rigo to integrate the documentation for the new
- \module{cProfile} module of Python 2.5.}
-
-Permission to use, copy, modify, and distribute this Python software
-and its associated documentation for any purpose (subject to the
-restriction in the following sentence) without fee is hereby granted,
-provided that the above copyright notice appears in all copies, and
-that both that copyright notice and this permission notice appear in
-supporting documentation, and that the name of InfoSeek not be used in
-advertising or publicity pertaining to distribution of the software
-without specific, written prior permission. This permission is
-explicitly restricted to the copying and modification of the software
-to remain in Python, compiled Python, or other languages (such as C)
-wherein the modified or derived code is exclusively imported into a
-Python module.
-
-INFOSEEK CORPORATION DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS
-SOFTWARE, INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND
-FITNESS. IN NO EVENT SHALL INFOSEEK CORPORATION BE LIABLE FOR ANY
-SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER
-RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF
-CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN
-CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
-
-
-The profiler was written after only programming in Python for 3 weeks.
-As a result, it is probably clumsy code, but I don't know for sure yet
-'cause I'm a beginner :-). I did work hard to make the code run fast,
-so that profiling would be a reasonable thing to do. I tried not to
-repeat code fragments, but I'm sure I did some stuff in really awkward
-ways at times. Please send suggestions for improvements to:
-\email{jar@netscape.com}. I won't promise \emph{any} support. ...but
-I'd appreciate the feedback.
-
-
-\section{Introduction to the profilers}
-\nodename{Profiler Introduction}
-
-A \dfn{profiler} is a program that describes the run time performance
-of a program, providing a variety of statistics. This documentation
-describes the profiler functionality provided in the modules
-\module{profile} and \module{pstats}. This profiler provides
-\dfn{deterministic profiling} of any Python programs. It also
-provides a series of report generation tools to allow users to rapidly
-examine the results of a profile operation.
-\index{deterministic profiling}
-\index{profiling, deterministic}
-
-The Python standard library provides three different profilers:
-
-\begin{enumerate}
-\item \module{profile}, a pure Python module, described in the sequel.
- Copyright \copyright{} 1994, by InfoSeek Corporation.
- \versionchanged[also reports the time spent in calls to built-in
- functions and methods]{2.4}
-
-\item \module{cProfile}, a module written in C, with a reasonable
- overhead that makes it suitable for profiling long-running programs.
- Based on \module{lsprof}, contributed by Brett Rosen and Ted Czotter.
- \versionadded{2.5}
-
-\item \module{hotshot}, a C module focusing on minimizing the overhead
- while profiling, at the expense of long data post-processing times.
- \versionchanged[the results should be more meaningful than in the
- past: the timing core contained a critical bug]{2.5}
-\end{enumerate}
-
-The \module{profile} and \module{cProfile} modules export the same
-interface, so they are mostly interchangeables; \module{cProfile} has a
-much lower overhead but is not so far as well-tested and might not be
-available on all systems. \module{cProfile} is really a compatibility
-layer on top of the internal \module{_lsprof} module. The
-\module{hotshot} module is reserved to specialized usages.
-
-%\section{How Is This Profiler Different From The Old Profiler?}
-%\nodename{Profiler Changes}
-%
-%(This section is of historical importance only; the old profiler
-%discussed here was last seen in Python 1.1.)
-%
-%The big changes from old profiling module are that you get more
-%information, and you pay less CPU time. It's not a trade-off, it's a
-%trade-up.
-%
-%To be specific:
-%
-%\begin{description}
-%
-%\item[Bugs removed:]
-%Local stack frame is no longer molested, execution time is now charged
-%to correct functions.
-%
-%\item[Accuracy increased:]
-%Profiler execution time is no longer charged to user's code,
-%calibration for platform is supported, file reads are not done \emph{by}
-%profiler \emph{during} profiling (and charged to user's code!).
-%
-%\item[Speed increased:]
-%Overhead CPU cost was reduced by more than a factor of two (perhaps a
-%factor of five), lightweight profiler module is all that must be
-%loaded, and the report generating module (\module{pstats}) is not needed
-%during profiling.
-%
-%\item[Recursive functions support:]
-%Cumulative times in recursive functions are correctly calculated;
-%recursive entries are counted.
-%
-%\item[Large growth in report generating UI:]
-%Distinct profiles runs can be added together forming a comprehensive
-%report; functions that import statistics take arbitrary lists of
-%files; sorting criteria is now based on keywords (instead of 4 integer
-%options); reports shows what functions were profiled as well as what
-%profile file was referenced; output format has been improved.
-%
-%\end{description}
-
-
-\section{Instant User's Manual \label{profile-instant}}
-
-This section is provided for users that ``don't want to read the
-manual.'' It provides a very brief overview, and allows a user to
-rapidly perform profiling on an existing application.
-
-To profile an application with a main entry point of \function{foo()},
-you would add the following to your module:
-
-\begin{verbatim}
-import cProfile
-cProfile.run('foo()')
-\end{verbatim}
-
-(Use \module{profile} instead of \module{cProfile} if the latter is not
-available on your system.)
-
-The above action would cause \function{foo()} to be run, and a series of
-informative lines (the profile) to be printed. The above approach is
-most useful when working with the interpreter. If you would like to
-save the results of a profile into a file for later examination, you
-can supply a file name as the second argument to the \function{run()}
-function:
-
-\begin{verbatim}
-import cProfile
-cProfile.run('foo()', 'fooprof')
-\end{verbatim}
-
-The file \file{cProfile.py} can also be invoked as
-a script to profile another script. For example:
-
-\begin{verbatim}
-python -m cProfile myscript.py
-\end{verbatim}
-
-\file{cProfile.py} accepts two optional arguments on the command line:
-
-\begin{verbatim}
-cProfile.py [-o output_file] [-s sort_order]
-\end{verbatim}
-
-\programopt{-s} only applies to standard output (\programopt{-o} is
-not supplied). Look in the \class{Stats} documentation for valid sort
-values.
-
-When you wish to review the profile, you should use the methods in the
-\module{pstats} module. Typically you would load the statistics data as
-follows:
-
-\begin{verbatim}
-import pstats
-p = pstats.Stats('fooprof')
-\end{verbatim}
-
-The class \class{Stats} (the above code just created an instance of
-this class) has a variety of methods for manipulating and printing the
-data that was just read into \code{p}. When you ran
-\function{cProfile.run()} above, what was printed was the result of three
-method calls:
-
-\begin{verbatim}
-p.strip_dirs().sort_stats(-1).print_stats()
-\end{verbatim}
-
-The first method removed the extraneous path from all the module
-names. The second method sorted all the entries according to the
-standard module/line/name string that is printed.
-%(this is to comply with the semantics of the old profiler).
-The third method printed out
-all the statistics. You might try the following sort calls:
-
-\begin{verbatim}
-p.sort_stats('name')
-p.print_stats()
-\end{verbatim}
-
-The first call will actually sort the list by function name, and the
-second call will print out the statistics. The following are some
-interesting calls to experiment with:
-
-\begin{verbatim}
-p.sort_stats('cumulative').print_stats(10)
-\end{verbatim}
-
-This sorts the profile by cumulative time in a function, and then only
-prints the ten most significant lines. If you want to understand what
-algorithms are taking time, the above line is what you would use.
-
-If you were looking to see what functions were looping a lot, and
-taking a lot of time, you would do:
-
-\begin{verbatim}
-p.sort_stats('time').print_stats(10)
-\end{verbatim}
-
-to sort according to time spent within each function, and then print
-the statistics for the top ten functions.
-
-You might also try:
-
-\begin{verbatim}
-p.sort_stats('file').print_stats('__init__')
-\end{verbatim}
-
-This will sort all the statistics by file name, and then print out
-statistics for only the class init methods (since they are spelled
-with \code{__init__} in them). As one final example, you could try:
-
-\begin{verbatim}
-p.sort_stats('time', 'cum').print_stats(.5, 'init')
-\end{verbatim}
-
-This line sorts statistics with a primary key of time, and a secondary
-key of cumulative time, and then prints out some of the statistics.
-To be specific, the list is first culled down to 50\% (re: \samp{.5})
-of its original size, then only lines containing \code{init} are
-maintained, and that sub-sub-list is printed.
-
-If you wondered what functions called the above functions, you could
-now (\code{p} is still sorted according to the last criteria) do:
-
-\begin{verbatim}
-p.print_callers(.5, 'init')
-\end{verbatim}
-
-and you would get a list of callers for each of the listed functions.
-
-If you want more functionality, you're going to have to read the
-manual, or guess what the following functions do:
-
-\begin{verbatim}
-p.print_callees()
-p.add('fooprof')
-\end{verbatim}
-
-Invoked as a script, the \module{pstats} module is a statistics
-browser for reading and examining profile dumps. It has a simple
-line-oriented interface (implemented using \refmodule{cmd}) and
-interactive help.
-
-\section{What Is Deterministic Profiling?}
-\nodename{Deterministic Profiling}
-
-\dfn{Deterministic profiling} is meant to reflect the fact that all
-\emph{function call}, \emph{function return}, and \emph{exception} events
-are monitored, and precise timings are made for the intervals between
-these events (during which time the user's code is executing). In
-contrast, \dfn{statistical profiling} (which is not done by this
-module) randomly samples the effective instruction pointer, and
-deduces where time is being spent. The latter technique traditionally
-involves less overhead (as the code does not need to be instrumented),
-but provides only relative indications of where time is being spent.
-
-In Python, since there is an interpreter active during execution, the
-presence of instrumented code is not required to do deterministic
-profiling. Python automatically provides a \dfn{hook} (optional
-callback) for each event. In addition, the interpreted nature of
-Python tends to add so much overhead to execution, that deterministic
-profiling tends to only add small processing overhead in typical
-applications. The result is that deterministic profiling is not that
-expensive, yet provides extensive run time statistics about the
-execution of a Python program.
-
-Call count statistics can be used to identify bugs in code (surprising
-counts), and to identify possible inline-expansion points (high call
-counts). Internal time statistics can be used to identify ``hot
-loops'' that should be carefully optimized. Cumulative time
-statistics should be used to identify high level errors in the
-selection of algorithms. Note that the unusual handling of cumulative
-times in this profiler allows statistics for recursive implementations
-of algorithms to be directly compared to iterative implementations.
-
-
-\section{Reference Manual -- \module{profile} and \module{cProfile}}
-
-\declaremodule{standard}{profile}
-\declaremodule{standard}{cProfile}
-\modulesynopsis{Python profiler}
-
-
-
-The primary entry point for the profiler is the global function
-\function{profile.run()} (resp. \function{cProfile.run()}).
-It is typically used to create any profile
-information. The reports are formatted and printed using methods of
-the class \class{pstats.Stats}. The following is a description of all
-of these standard entry points and functions. For a more in-depth
-view of some of the code, consider reading the later section on
-Profiler Extensions, which includes discussion of how to derive
-``better'' profilers from the classes presented, or reading the source
-code for these modules.
-
-\begin{funcdesc}{run}{command\optional{, filename}}
-
-This function takes a single argument that can be passed to the
-\function{exec()} function, and an optional file name. In all cases this
-routine attempts to \function{exec()} its first argument, and gather profiling
-statistics from the execution. If no file name is present, then this
-function automatically prints a simple profiling report, sorted by the
-standard name string (file/line/function-name) that is presented in
-each line. The following is a typical output from such a call:
-
-\begin{verbatim}
- 2706 function calls (2004 primitive calls) in 4.504 CPU seconds
-
-Ordered by: standard name
-
-ncalls tottime percall cumtime percall filename:lineno(function)
- 2 0.006 0.003 0.953 0.477 pobject.py:75(save_objects)
- 43/3 0.533 0.012 0.749 0.250 pobject.py:99(evaluate)
- ...
-\end{verbatim}
-
-The first line indicates that 2706 calls were
-monitored. Of those calls, 2004 were \dfn{primitive}. We define
-\dfn{primitive} to mean that the call was not induced via recursion.
-The next line: \code{Ordered by:\ standard name}, indicates that
-the text string in the far right column was used to sort the output.
-The column headings include:
-
-\begin{description}
-
-\item[ncalls ]
-for the number of calls,
-
-\item[tottime ]
-for the total time spent in the given function (and excluding time
-made in calls to sub-functions),
-
-\item[percall ]
-is the quotient of \code{tottime} divided by \code{ncalls}
-
-\item[cumtime ]
-is the total time spent in this and all subfunctions (from invocation
-till exit). This figure is accurate \emph{even} for recursive
-functions.
-
-\item[percall ]
-is the quotient of \code{cumtime} divided by primitive calls
-
-\item[filename:lineno(function) ]
-provides the respective data of each function
-
-\end{description}
-
-When there are two numbers in the first column (for example,
-\samp{43/3}), then the latter is the number of primitive calls, and
-the former is the actual number of calls. Note that when the function
-does not recurse, these two values are the same, and only the single
-figure is printed.
-
-\end{funcdesc}
-
-\begin{funcdesc}{runctx}{command, globals, locals\optional{, filename}}
-This function is similar to \function{run()}, with added
-arguments to supply the globals and locals dictionaries for the
-\var{command} string.
-\end{funcdesc}
-
-Analysis of the profiler data is done using the \class{Stats} class.
-
-\note{The \class{Stats} class is defined in the \module{pstats} module.}
-
-% now switch modules....
-% (This \stmodindex use may be hard to change ;-( )
-\stmodindex{pstats}
-
-\begin{classdesc}{Stats}{filename\optional{, stream=sys.stdout\optional{, \moreargs}}}
-This class constructor creates an instance of a ``statistics object''
-from a \var{filename} (or set of filenames). \class{Stats} objects are
-manipulated by methods, in order to print useful reports. You may specify
-an alternate output stream by giving the keyword argument, \code{stream}.
-
-The file selected by the above constructor must have been created by the
-corresponding version of \module{profile} or \module{cProfile}. To be
-specific, there is \emph{no} file compatibility guaranteed with future
-versions of this profiler, and there is no compatibility with files produced
-by other profilers.
-%(such as the old system profiler).
-
-If several files are provided, all the statistics for identical
-functions will be coalesced, so that an overall view of several
-processes can be considered in a single report. If additional files
-need to be combined with data in an existing \class{Stats} object, the
-\method{add()} method can be used.
-
-\versionchanged[The \var{stream} parameter was added]{2.5}
-\end{classdesc}
-
-
-\subsection{The \class{Stats} Class \label{profile-stats}}
-
-\class{Stats} objects have the following methods:
-
-\begin{methoddesc}[Stats]{strip_dirs}{}
-This method for the \class{Stats} class removes all leading path
-information from file names. It is very useful in reducing the size
-of the printout to fit within (close to) 80 columns. This method
-modifies the object, and the stripped information is lost. After
-performing a strip operation, the object is considered to have its
-entries in a ``random'' order, as it was just after object
-initialization and loading. If \method{strip_dirs()} causes two
-function names to be indistinguishable (they are on the same
-line of the same filename, and have the same function name), then the
-statistics for these two entries are accumulated into a single entry.
-\end{methoddesc}
-
-
-\begin{methoddesc}[Stats]{add}{filename\optional{, \moreargs}}
-This method of the \class{Stats} class accumulates additional
-profiling information into the current profiling object. Its
-arguments should refer to filenames created by the corresponding
-version of \function{profile.run()} or \function{cProfile.run()}.
-Statistics for identically named
-(re: file, line, name) functions are automatically accumulated into
-single function statistics.
-\end{methoddesc}
-
-\begin{methoddesc}[Stats]{dump_stats}{filename}
-Save the data loaded into the \class{Stats} object to a file named
-\var{filename}. The file is created if it does not exist, and is
-overwritten if it already exists. This is equivalent to the method of
-the same name on the \class{profile.Profile} and
-\class{cProfile.Profile} classes.
-\versionadded{2.3}
-\end{methoddesc}
-
-\begin{methoddesc}[Stats]{sort_stats}{key\optional{, \moreargs}}
-This method modifies the \class{Stats} object by sorting it according
-to the supplied criteria. The argument is typically a string
-identifying the basis of a sort (example: \code{'time'} or
-\code{'name'}).
-
-When more than one key is provided, then additional keys are used as
-secondary criteria when there is equality in all keys selected
-before them. For example, \code{sort_stats('name', 'file')} will sort
-all the entries according to their function name, and resolve all ties
-(identical function names) by sorting by file name.
-
-Abbreviations can be used for any key names, as long as the
-abbreviation is unambiguous. The following are the keys currently
-defined:
-
-\begin{tableii}{l|l}{code}{Valid Arg}{Meaning}
- \lineii{'calls'}{call count}
- \lineii{'cumulative'}{cumulative time}
- \lineii{'file'}{file name}
- \lineii{'module'}{file name}
- \lineii{'pcalls'}{primitive call count}
- \lineii{'line'}{line number}
- \lineii{'name'}{function name}
- \lineii{'nfl'}{name/file/line}
- \lineii{'stdname'}{standard name}
- \lineii{'time'}{internal time}
-\end{tableii}
-
-Note that all sorts on statistics are in descending order (placing
-most time consuming items first), where as name, file, and line number
-searches are in ascending order (alphabetical). The subtle
-distinction between \code{'nfl'} and \code{'stdname'} is that the
-standard name is a sort of the name as printed, which means that the
-embedded line numbers get compared in an odd way. For example, lines
-3, 20, and 40 would (if the file names were the same) appear in the
-string order 20, 3 and 40. In contrast, \code{'nfl'} does a numeric
-compare of the line numbers. In fact, \code{sort_stats('nfl')} is the
-same as \code{sort_stats('name', 'file', 'line')}.
-
-%For compatibility with the old profiler,
-For backward-compatibility reasons, the numeric arguments
-\code{-1}, \code{0}, \code{1}, and \code{2} are permitted. They are
-interpreted as \code{'stdname'}, \code{'calls'}, \code{'time'}, and
-\code{'cumulative'} respectively. If this old style format (numeric)
-is used, only one sort key (the numeric key) will be used, and
-additional arguments will be silently ignored.
-\end{methoddesc}
-
-
-\begin{methoddesc}[Stats]{reverse_order}{}
-This method for the \class{Stats} class reverses the ordering of the basic
-list within the object. %This method is provided primarily for
-%compatibility with the old profiler.
-Note that by default ascending vs descending order is properly selected
-based on the sort key of choice.
-\end{methoddesc}
-
-\begin{methoddesc}[Stats]{print_stats}{\optional{restriction, \moreargs}}
-This method for the \class{Stats} class prints out a report as described
-in the \function{profile.run()} definition.
-
-The order of the printing is based on the last \method{sort_stats()}
-operation done on the object (subject to caveats in \method{add()} and
-\method{strip_dirs()}).
-
-The arguments provided (if any) can be used to limit the list down to
-the significant entries. Initially, the list is taken to be the
-complete set of profiled functions. Each restriction is either an
-integer (to select a count of lines), or a decimal fraction between
-0.0 and 1.0 inclusive (to select a percentage of lines), or a regular
-expression (to pattern match the standard name that is printed; as of
-Python 1.5b1, this uses the Perl-style regular expression syntax
-defined by the \refmodule{re} module). If several restrictions are
-provided, then they are applied sequentially. For example:
-
-\begin{verbatim}
-print_stats(.1, 'foo:')
-\end{verbatim}
-
-would first limit the printing to first 10\% of list, and then only
-print functions that were part of filename \file{.*foo:}. In
-contrast, the command:
-
-\begin{verbatim}
-print_stats('foo:', .1)
-\end{verbatim}
-
-would limit the list to all functions having file names \file{.*foo:},
-and then proceed to only print the first 10\% of them.
-\end{methoddesc}
-
-
-\begin{methoddesc}[Stats]{print_callers}{\optional{restriction, \moreargs}}
-This method for the \class{Stats} class prints a list of all functions
-that called each function in the profiled database. The ordering is
-identical to that provided by \method{print_stats()}, and the definition
-of the restricting argument is also identical. Each caller is reported on
-its own line. The format differs slightly depending on the profiler that
-produced the stats:
-
-\begin{itemize}
-\item With \module{profile}, a number is shown in parentheses after each
- caller to show how many times this specific call was made. For
- convenience, a second non-parenthesized number repeats the cumulative
- time spent in the function at the right.
-
-\item With \module{cProfile}, each caller is preceeded by three numbers:
- the number of times this specific call was made, and the total and
- cumulative times spent in the current function while it was invoked by
- this specific caller.
-\end{itemize}
-\end{methoddesc}
-
-\begin{methoddesc}[Stats]{print_callees}{\optional{restriction, \moreargs}}
-This method for the \class{Stats} class prints a list of all function
-that were called by the indicated function. Aside from this reversal
-of direction of calls (re: called vs was called by), the arguments and
-ordering are identical to the \method{print_callers()} method.
-\end{methoddesc}
-
-
-\section{Limitations \label{profile-limits}}
-
-One limitation has to do with accuracy of timing information.
-There is a fundamental problem with deterministic profilers involving
-accuracy. The most obvious restriction is that the underlying ``clock''
-is only ticking at a rate (typically) of about .001 seconds. Hence no
-measurements will be more accurate than the underlying clock. If
-enough measurements are taken, then the ``error'' will tend to average
-out. Unfortunately, removing this first error induces a second source
-of error.
-
-The second problem is that it ``takes a while'' from when an event is
-dispatched until the profiler's call to get the time actually
-\emph{gets} the state of the clock. Similarly, there is a certain lag
-when exiting the profiler event handler from the time that the clock's
-value was obtained (and then squirreled away), until the user's code
-is once again executing. As a result, functions that are called many
-times, or call many functions, will typically accumulate this error.
-The error that accumulates in this fashion is typically less than the
-accuracy of the clock (less than one clock tick), but it
-\emph{can} accumulate and become very significant.
-
-The problem is more important with \module{profile} than with the
-lower-overhead \module{cProfile}. For this reason, \module{profile}
-provides a means of calibrating itself for a given platform so that
-this error can be probabilistically (on the average) removed.
-After the profiler is calibrated, it will be more accurate (in a least
-square sense), but it will sometimes produce negative numbers (when
-call counts are exceptionally low, and the gods of probability work
-against you :-). ) Do \emph{not} be alarmed by negative numbers in
-the profile. They should \emph{only} appear if you have calibrated
-your profiler, and the results are actually better than without
-calibration.
-
-
-\section{Calibration \label{profile-calibration}}
-
-The profiler of the \module{profile} module subtracts a constant from each
-event handling time to compensate for the overhead of calling the time
-function, and socking away the results. By default, the constant is 0.
-The following procedure can
-be used to obtain a better constant for a given platform (see discussion
-in section Limitations above).
-
-\begin{verbatim}
-import profile
-pr = profile.Profile()
-for i in range(5):
- print pr.calibrate(10000)
-\end{verbatim}
-
-The method executes the number of Python calls given by the argument,
-directly and again under the profiler, measuring the time for both.
-It then computes the hidden overhead per profiler event, and returns
-that as a float. For example, on an 800 MHz Pentium running
-Windows 2000, and using Python's time.clock() as the timer,
-the magical number is about 12.5e-6.
-
-The object of this exercise is to get a fairly consistent result.
-If your computer is \emph{very} fast, or your timer function has poor
-resolution, you might have to pass 100000, or even 1000000, to get
-consistent results.
-
-When you have a consistent answer,
-there are three ways you can use it:\footnote{Prior to Python 2.2, it
- was necessary to edit the profiler source code to embed the bias as
- a literal number. You still can, but that method is no longer
- described, because no longer needed.}
-
-\begin{verbatim}
-import profile
-
-# 1. Apply computed bias to all Profile instances created hereafter.
-profile.Profile.bias = your_computed_bias
-
-# 2. Apply computed bias to a specific Profile instance.
-pr = profile.Profile()
-pr.bias = your_computed_bias
-
-# 3. Specify computed bias in instance constructor.
-pr = profile.Profile(bias=your_computed_bias)
-\end{verbatim}
-
-If you have a choice, you are better off choosing a smaller constant, and
-then your results will ``less often'' show up as negative in profile
-statistics.
-
-
-\section{Extensions --- Deriving Better Profilers}
-\nodename{Profiler Extensions}
-
-The \class{Profile} class of both modules, \module{profile} and
-\module{cProfile}, were written so that
-derived classes could be developed to extend the profiler. The details
-are not described here, as doing this successfully requires an expert
-understanding of how the \class{Profile} class works internally. Study
-the source code of the module carefully if you want to
-pursue this.
-
-If all you want to do is change how current time is determined (for
-example, to force use of wall-clock time or elapsed process time),
-pass the timing function you want to the \class{Profile} class
-constructor:
-
-\begin{verbatim}
-pr = profile.Profile(your_time_func)
-\end{verbatim}
-
-The resulting profiler will then call \function{your_time_func()}.
-
-\begin{description}
-\item[\class{profile.Profile}]
-\function{your_time_func()} should return a single number, or a list of
-numbers whose sum is the current time (like what \function{os.times()}
-returns). If the function returns a single time number, or the list of
-returned numbers has length 2, then you will get an especially fast
-version of the dispatch routine.
-
-Be warned that you should calibrate the profiler class for the
-timer function that you choose. For most machines, a timer that
-returns a lone integer value will provide the best results in terms of
-low overhead during profiling. (\function{os.times()} is
-\emph{pretty} bad, as it returns a tuple of floating point values). If
-you want to substitute a better timer in the cleanest fashion,
-derive a class and hardwire a replacement dispatch method that best
-handles your timer call, along with the appropriate calibration
-constant.
-
-\item[\class{cProfile.Profile}]
-\function{your_time_func()} should return a single number. If it returns
-plain integers, you can also invoke the class constructor with a second
-argument specifying the real duration of one unit of time. For example,
-if \function{your_integer_time_func()} returns times measured in thousands
-of seconds, you would constuct the \class{Profile} instance as follows:
-
-\begin{verbatim}
-pr = profile.Profile(your_integer_time_func, 0.001)
-\end{verbatim}
-
-As the \module{cProfile.Profile} class cannot be calibrated, custom
-timer functions should be used with care and should be as fast as
-possible. For the best results with a custom timer, it might be
-necessary to hard-code it in the C source of the internal
-\module{_lsprof} module.
-
-\end{description}