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<!DOCTYPE HTML PUBLIC "-//IETF//DTD HTML//EN">
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<HTML>
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<HEAD>
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<link rel="stylesheet" href="designstyle.css">
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<title>Gperftools CPU Profiler</title>
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2007-03-22 03:00:33 +00:00
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</HEAD>
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<BODY>
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2007-04-16 20:49:32 +00:00
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<p align=right>
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<i>Last modified
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<script type=text/javascript>
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var lm = new Date(document.lastModified);
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document.write(lm.toDateString());
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</script></i>
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</p>
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<p>This is the CPU profiler we use at Google. There are three parts
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to using it: linking the library into an application, running the
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code, and analyzing the output.</p>
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2007-03-22 03:00:33 +00:00
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2007-11-29 23:39:24 +00:00
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<p>On the off-chance that you should need to understand it, the CPU
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profiler data file format is documented separately,
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<a href="cpuprofile-fileformat.html">here</a>.
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2007-03-22 03:00:33 +00:00
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<H1>Linking in the Library</H1>
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<p>To install the CPU profiler into your executable, add
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<code>-lprofiler</code> to the link-time step for your executable.
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(It's also probably possible to add in the profiler at run-time using
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<code>LD_PRELOAD</code>, e.g.
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<code>% env LD_PRELOAD="/usr/lib/libprofiler.so" <binary></code>,
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but this isn't necessarily recommended.)</p>
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<p>This does <i>not</i> turn on CPU profiling; it just inserts the
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code. For that reason, it's practical to just always link
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<code>-lprofiler</code> into a binary while developing; that's what we
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do at Google. (However, since any user can turn on the profiler by
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setting an environment variable, it's not necessarily recommended to
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install profiler-linked binaries into a production, running
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system.)</p>
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2007-03-22 03:00:33 +00:00
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<H1>Running the Code</H1>
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2007-04-16 20:49:32 +00:00
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<p>There are several alternatives to actually turn on CPU profiling
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for a given run of an executable:</p>
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<ol>
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<li> <p>Define the environment variable CPUPROFILE to the filename
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to dump the profile to. For instance, if you had a version of
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<code>/bin/ls</code> that had been linked against libprofiler,
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you could run:</p>
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<pre>% env CPUPROFILE=ls.prof /bin/ls</pre>
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</li>
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<li> <p>In addition to defining the environment variable CPUPROFILE
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you can also define CPUPROFILESIGNAL. This allows profiling to be
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controlled via the signal number that you specify. The signal number
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must be unused by the program under normal operation. Internally it
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acts as a switch, triggered by the signal, which is off by default.
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For instance, if you had a copy of <code>/bin/chrome</code> that had been
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been linked against libprofiler, you could run:</p>
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<pre>% env CPUPROFILE=chrome.prof CPUPROFILESIGNAL=12 /bin/chrome &</pre>
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<p>You can then trigger profiling to start:</p>
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<pre>% killall -12 chrome</pre>
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<p>Then after a period of time you can tell it to stop which will
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generate the profile:</p>
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<pre>% killall -12 chrome</pre>
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</li>
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<li> <p>In your code, bracket the code you want profiled in calls to
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<code>ProfilerStart()</code> and <code>ProfilerStop()</code>.
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(These functions are declared in <code><gperftools/profiler.h></code>.)
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<code>ProfilerStart()</code> will take
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the profile-filename as an argument.</p>
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</li>
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</ol>
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2007-03-22 04:44:18 +00:00
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<p>In Linux 2.6 and above, profiling works correctly with threads,
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automatically profiling all threads. In Linux 2.4, profiling only
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profiles the main thread (due to a kernel bug involving itimers and
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threads). Profiling works correctly with sub-processes: each child
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process gets its own profile with its own name (generated by combining
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CPUPROFILE with the child's process id).</p>
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2007-03-22 03:00:33 +00:00
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2007-03-22 03:28:56 +00:00
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<p>For security reasons, CPU profiling will not write to a file -- and
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is thus not usable -- for setuid programs.</p>
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2012-02-04 00:07:36 +00:00
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<p>See the include-file <code>gperftools/profiler.h</code> for
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advanced-use functions, including <code>ProfilerFlush()</code> and
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<code>ProfilerStartWithOptions()</code>.</p>
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2007-04-16 20:49:32 +00:00
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<H2>Modifying Runtime Behavior</H2>
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2007-04-16 20:49:32 +00:00
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<p>You can more finely control the behavior of the CPU profiler via
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environment variables.</p>
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<table frame=box rules=sides cellpadding=5 width=100%>
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<tr valign=top>
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<td><code>CPUPROFILE_FREQUENCY=<i>x</i></code></td>
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<td>default: 100</td>
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<td>
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How many interrupts/second the cpu-profiler samples.
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</td>
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</tr>
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2009-12-02 18:15:13 +00:00
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<tr valign=top>
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<td><code>CPUPROFILE_REALTIME=1</code></td>
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<td>default: [not set]</td>
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<td>
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If set to any value (including 0 or the empty string), use
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ITIMER_REAL instead of ITIMER_PROF to gather profiles. In
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general, ITIMER_REAL is not as accurate as ITIMER_PROF, and also
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interacts badly with use of alarm(), so prefer ITIMER_PROF unless
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you have a reason prefer ITIMER_REAL.
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</td>
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</tr>
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2007-03-22 03:28:56 +00:00
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</table>
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2007-04-16 20:49:32 +00:00
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<h1><a name="pprof">Analyzing the Output</a></h1>
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<p><code>pprof</code> is the script used to analyze a profile. It has
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many output modes, both textual and graphical. Some give just raw
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numbers, much like the <code>-pg</code> output of <code>gcc</code>,
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and others show the data in the form of a dependency graph.</p>
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<p>pprof <b>requires</b> <code>perl5</code> to be installed to run.
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It also requires <code>dot</code> to be installed for any of the
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graphical output routines, and <code>gv</code> to be installed for
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<code>--gv</code> mode (described below).
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</p>
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2007-03-22 03:00:33 +00:00
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<p>Here are some ways to call pprof. These are described in more
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detail below.</p>
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<pre>
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% pprof /bin/ls ls.prof
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Enters "interactive" mode
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% pprof --text /bin/ls ls.prof
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Outputs one line per procedure
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% pprof --gv /bin/ls ls.prof
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Displays annotated call-graph via 'gv'
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% pprof --gv --focus=Mutex /bin/ls ls.prof
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Restricts to code paths including a .*Mutex.* entry
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% pprof --gv --focus=Mutex --ignore=string /bin/ls ls.prof
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Code paths including Mutex but not string
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% pprof --list=getdir /bin/ls ls.prof
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(Per-line) annotated source listing for getdir()
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% pprof --disasm=getdir /bin/ls ls.prof
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(Per-PC) annotated disassembly for getdir()
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% pprof --text localhost:1234
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Outputs one line per procedure for localhost:1234
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% pprof --callgrind /bin/ls ls.prof
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Outputs the call information in callgrind format
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</pre>
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2007-03-22 04:55:49 +00:00
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<h3>Analyzing Text Output</h3>
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<p>Text mode has lines of output that look like this:</p>
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<pre>
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14 2.1% 17.2% 58 8.7% std::_Rb_tree::find
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</pre>
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<p>Here is how to interpret the columns:</p>
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<ol>
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<li> Number of profiling samples in this function
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<li> Percentage of profiling samples in this function
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<li> Percentage of profiling samples in the functions printed so far
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<li> Number of profiling samples in this function and its callees
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<li> Percentage of profiling samples in this function and its callees
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<li> Function name
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</ol>
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2008-06-14 02:30:53 +00:00
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<h3>Analyzing Callgrind Output</h3>
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<p>Use <a href="http://kcachegrind.sourceforge.net">kcachegrind</a> to
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analyze your callgrind output:</p>
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<pre>
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% pprof --callgrind /bin/ls ls.prof > ls.callgrind
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% kcachegrind ls.callgrind
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</pre>
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<p>The cost is specified in 'hits', i.e. how many times a function
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appears in the recorded call stack information. The 'calls' from
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function a to b record how many times function b was found in the
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stack traces directly below function a.</p>
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<p>Tip: if you use a debug build the output will include file and line
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number information and kcachegrind will show an annotated source
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code view.</p>
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2007-03-22 04:55:49 +00:00
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2007-03-22 03:00:33 +00:00
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<h3>Node Information</h3>
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<p>In the various graphical modes of pprof, the output is a call graph
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annotated with timing information, like so:</p>
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<A HREF="pprof-test-big.gif">
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<center><table><tr><td>
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<img src="pprof-test.gif">
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</td></tr></table></center>
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</A>
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<p>Each node represents a procedure. The directed edges indicate
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caller to callee relations. Each node is formatted as follows:</p>
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<center><pre>
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Class Name
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Method Name
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local (percentage)
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<b>of</b> cumulative (percentage)
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</pre></center>
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<p>The last one or two lines contains the timing information. (The
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profiling is done via a sampling method, where by default we take 100
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samples a second. Therefor one unit of time in the output corresponds
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to about 10 milliseconds of execution time.) The "local" time is the
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time spent executing the instructions directly contained in the
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procedure (and in any other procedures that were inlined into the
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procedure). The "cumulative" time is the sum of the "local" time and
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the time spent in any callees. If the cumulative time is the same as
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the local time, it is not printed.</p>
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<p>For instance, the timing information for test_main_thread()
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indicates that 155 units (about 1.55 seconds) were spent executing the
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code in <code>test_main_thread()</code> and 200 units were spent while
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executing <code>test_main_thread()</code> and its callees such as
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<code>snprintf()</code>.</p>
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2007-03-22 03:00:33 +00:00
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<p>The size of the node is proportional to the local count. The
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percentage displayed in the node corresponds to the count divided by
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the total run time of the program (that is, the cumulative count for
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<code>main()</code>).</p>
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<h3>Edge Information</h3>
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<p>An edge from one node to another indicates a caller to callee
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relationship. Each edge is labelled with the time spent by the callee
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on behalf of the caller. E.g, the edge from
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<code>test_main_thread()</code> to <code>snprintf()</code> indicates
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that of the 200 samples in <code>test_main_thread()</code>, 37 are
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because of calls to <code>snprintf()</code>.</p>
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2007-03-22 03:00:33 +00:00
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2007-04-16 20:49:32 +00:00
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<p>Note that <code>test_main_thread()</code> has an edge to
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<code>vsnprintf()</code>, even though <code>test_main_thread()</code>
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doesn't call that function directly. This is because the code was
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compiled with <code>-O2</code>; the profile reflects the optimized
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control flow.</p>
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2007-03-22 03:00:33 +00:00
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<h3>Meta Information</h3>
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2007-04-16 20:49:32 +00:00
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<p>The top of the display should contain some meta information
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like:</p>
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<pre>
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/tmp/profiler2_unittest
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Total samples: 202
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Focusing on: 202
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Dropped nodes with <= 1 abs(samples)
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Dropped edges with <= 0 samples
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</pre>
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2007-04-16 20:49:32 +00:00
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<p>This section contains the name of the program, and the total
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samples collected during the profiling run. If the
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<code>--focus</code> option is on (see the <a href="#focus">Focus</a>
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section below), the legend also contains the number of samples being
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shown in the focused display. Furthermore, some unimportant nodes and
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edges are dropped to reduce clutter. The characteristics of the
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dropped nodes and edges are also displayed in the legend.</p>
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2007-03-22 03:00:33 +00:00
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|
<h3><a name=focus>Focus and Ignore</a></h3>
|
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|
<p>You can ask pprof to generate a display focused on a particular
|
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|
|
|
piece of the program. You specify a regular expression. Any portion
|
|
|
|
|
of the call-graph that is on a path which contains at least one node
|
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|
matching the regular expression is preserved. The rest of the
|
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|
call-graph is dropped on the floor. For example, you can focus on the
|
2007-04-16 20:49:32 +00:00
|
|
|
<code>vsnprintf()</code> libc call in <code>profiler2_unittest</code>
|
|
|
|
|
as follows:</p>
|
2007-03-22 03:00:33 +00:00
|
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|
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|
|
<pre>
|
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|
|
% pprof --gv --focus=vsnprintf /tmp/profiler2_unittest test.prof
|
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|
</pre>
|
|
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|
|
<A HREF="pprof-vsnprintf-big.gif">
|
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|
<center><table><tr><td>
|
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|
<img src="pprof-vsnprintf.gif">
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</td></tr></table></center>
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</A>
|
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|
2007-04-16 20:49:32 +00:00
|
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|
<p>Similarly, you can supply the <code>--ignore</code> option to
|
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|
ignore samples that match a specified regular expression. E.g., if
|
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|
you are interested in everything except calls to
|
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|
<code>snprintf()</code>, you can say:</p>
|
2007-03-22 03:00:33 +00:00
|
|
|
<pre>
|
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|
|
% pprof --gv --ignore=snprintf /tmp/profiler2_unittest test.prof
|
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|
</pre>
|
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|
2007-04-16 20:49:32 +00:00
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|
<h3>Interactive mode</a></h3>
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|
<p>By default -- if you don't specify any flags to the contrary --
|
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|
pprof runs in interactive mode. At the <code>(pprof)</code> prompt,
|
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|
you can run many of the commands described above. You can type
|
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|
<code>help</code> for a list of what commands are available in
|
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|
interactive mode.</p>
|
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|
2007-03-22 03:00:33 +00:00
|
|
|
<h3><a name=options>pprof Options</a></h3>
|
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|
2007-04-16 20:49:32 +00:00
|
|
|
For a complete list of pprof options, you can run <code>pprof
|
|
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|
|
--help</code>.
|
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|
2007-03-22 03:00:33 +00:00
|
|
|
<h4>Output Type</h4>
|
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<p>
|
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|
<center>
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|
<table frame=box rules=sides cellpadding=5 width=100%>
|
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|
|
|
<tr valign=top>
|
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|
|
<td><code>--text</code></td>
|
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|
|
<td>
|
2007-04-16 20:49:32 +00:00
|
|
|
Produces a textual listing. (Note: If you have an X display, and
|
|
|
|
|
<code>dot</code> and <code>gv</code> installed, you will probably
|
|
|
|
|
be happier with the <code>--gv</code> output.)
|
2007-03-22 03:00:33 +00:00
|
|
|
</td>
|
|
|
|
|
</tr>
|
|
|
|
|
<tr valign=top>
|
|
|
|
|
<td><code>--gv</code></td>
|
|
|
|
|
<td>
|
|
|
|
|
Generates annotated call-graph, converts to postscript, and
|
2007-04-16 20:49:32 +00:00
|
|
|
displays via gv (requres <code>dot</code> and <code>gv</code> be
|
|
|
|
|
installed).
|
2007-03-22 03:00:33 +00:00
|
|
|
</td>
|
|
|
|
|
</tr>
|
|
|
|
|
<tr valign=top>
|
|
|
|
|
<td><code>--dot</code></td>
|
|
|
|
|
<td>
|
|
|
|
|
Generates the annotated call-graph in dot format and
|
2007-04-16 20:49:32 +00:00
|
|
|
emits to stdout (requres <code>dot</code> be installed).
|
2007-03-22 03:00:33 +00:00
|
|
|
</td>
|
|
|
|
|
</tr>
|
|
|
|
|
<tr valign=top>
|
|
|
|
|
<td><code>--ps</code></td>
|
|
|
|
|
<td>
|
|
|
|
|
Generates the annotated call-graph in Postscript format and
|
2007-04-16 20:49:32 +00:00
|
|
|
emits to stdout (requres <code>dot</code> be installed).
|
|
|
|
|
</td>
|
|
|
|
|
</tr>
|
|
|
|
|
<tr valign=top>
|
|
|
|
|
<td><code>--pdf</code></td>
|
|
|
|
|
<td>
|
|
|
|
|
Generates the annotated call-graph in PDF format and emits to
|
|
|
|
|
stdout (requires <code>dot</code> and <code>ps2pdf</code> be
|
|
|
|
|
installed).
|
2007-03-22 03:00:33 +00:00
|
|
|
</td>
|
|
|
|
|
</tr>
|
|
|
|
|
<tr valign=top>
|
|
|
|
|
<td><code>--gif</code></td>
|
|
|
|
|
<td>
|
|
|
|
|
Generates the annotated call-graph in GIF format and
|
2007-04-16 20:49:32 +00:00
|
|
|
emits to stdout (requres <code>dot</code> be installed).
|
2007-03-22 03:00:33 +00:00
|
|
|
</td>
|
|
|
|
|
</tr>
|
|
|
|
|
<tr valign=top>
|
|
|
|
|
<td><code>--list=<<i>regexp</i>></code></td>
|
|
|
|
|
<td>
|
|
|
|
|
<p>Outputs source-code listing of routines whose
|
|
|
|
|
name matches <regexp>. Each line
|
|
|
|
|
in the listing is annotated with flat and cumulative
|
|
|
|
|
sample counts.</p>
|
|
|
|
|
|
|
|
|
|
<p>In the presence of inlined calls, the samples
|
|
|
|
|
associated with inlined code tend to get assigned
|
|
|
|
|
to a line that follows the location of the
|
|
|
|
|
inlined call. A more precise accounting can be
|
|
|
|
|
obtained by disassembling the routine using the
|
|
|
|
|
--disasm flag.</p>
|
|
|
|
|
</td>
|
|
|
|
|
</tr>
|
|
|
|
|
<tr valign=top>
|
|
|
|
|
<td><code>--disasm=<<i>regexp</i>></code></td>
|
|
|
|
|
<td>
|
|
|
|
|
Generates disassembly of routines that match
|
|
|
|
|
<regexp>, annotated with flat and
|
|
|
|
|
cumulative sample counts and emits to stdout.
|
|
|
|
|
</td>
|
|
|
|
|
</tr>
|
|
|
|
|
</table>
|
|
|
|
|
</center>
|
|
|
|
|
|
|
|
|
|
<h4>Reporting Granularity</h4>
|
|
|
|
|
|
|
|
|
|
<p>By default, pprof produces one entry per procedure. However you can
|
|
|
|
|
use one of the following options to change the granularity of the
|
2007-04-16 20:49:32 +00:00
|
|
|
output. The <code>--files</code> option seems to be particularly
|
|
|
|
|
useless, and may be removed eventually.</p>
|
2007-03-22 03:00:33 +00:00
|
|
|
|
|
|
|
|
<center>
|
|
|
|
|
<table frame=box rules=sides cellpadding=5 width=100%>
|
|
|
|
|
<tr valign=top>
|
|
|
|
|
<td><code>--addresses</code></td>
|
|
|
|
|
<td>
|
|
|
|
|
Produce one node per program address.
|
|
|
|
|
</td>
|
|
|
|
|
</tr>
|
|
|
|
|
<td><code>--lines</code></td>
|
|
|
|
|
<td>
|
|
|
|
|
Produce one node per source line.
|
|
|
|
|
</td>
|
|
|
|
|
</tr>
|
|
|
|
|
<td><code>--functions</code></td>
|
|
|
|
|
<td>
|
|
|
|
|
Produce one node per function (this is the default).
|
|
|
|
|
</td>
|
|
|
|
|
</tr>
|
|
|
|
|
<td><code>--files</code></td>
|
|
|
|
|
<td>
|
|
|
|
|
Produce one node per source file.
|
|
|
|
|
</td>
|
|
|
|
|
</tr>
|
|
|
|
|
</table>
|
|
|
|
|
</center>
|
|
|
|
|
|
|
|
|
|
<h4>Controlling the Call Graph Display</h4>
|
|
|
|
|
|
|
|
|
|
<p>Some nodes and edges are dropped to reduce clutter in the output
|
|
|
|
|
display. The following options control this effect:</p>
|
|
|
|
|
|
|
|
|
|
<center>
|
|
|
|
|
<table frame=box rules=sides cellpadding=5 width=100%>
|
|
|
|
|
<tr valign=top>
|
|
|
|
|
<td><code>--nodecount=<n></code></td>
|
|
|
|
|
<td>
|
|
|
|
|
This option controls the number of displayed nodes. The nodes
|
|
|
|
|
are first sorted by decreasing cumulative count, and then only
|
|
|
|
|
the top N nodes are kept. The default value is 80.
|
|
|
|
|
</td>
|
|
|
|
|
</tr>
|
|
|
|
|
<tr valign=top>
|
|
|
|
|
<td><code>--nodefraction=<f></code></td>
|
|
|
|
|
<td>
|
|
|
|
|
This option provides another mechanism for discarding nodes
|
|
|
|
|
from the display. If the cumulative count for a node is
|
|
|
|
|
less than this option's value multiplied by the total count
|
|
|
|
|
for the profile, the node is dropped. The default value
|
|
|
|
|
is 0.005; i.e. nodes that account for less than
|
|
|
|
|
half a percent of the total time are dropped. A node
|
|
|
|
|
is dropped if either this condition is satisfied, or the
|
|
|
|
|
--nodecount condition is satisfied.
|
|
|
|
|
</td>
|
|
|
|
|
</tr>
|
|
|
|
|
<tr valign=top>
|
|
|
|
|
<td><code>--edgefraction=<f></code></td>
|
|
|
|
|
<td>
|
|
|
|
|
This option controls the number of displayed edges. First of all,
|
|
|
|
|
an edge is dropped if either its source or destination node is
|
|
|
|
|
dropped. Otherwise, the edge is dropped if the sample
|
|
|
|
|
count along the edge is less than this option's value multiplied
|
|
|
|
|
by the total count for the profile. The default value is
|
|
|
|
|
0.001; i.e., edges that account for less than
|
|
|
|
|
0.1% of the total time are dropped.
|
|
|
|
|
</td>
|
|
|
|
|
</tr>
|
|
|
|
|
<tr valign=top>
|
|
|
|
|
<td><code>--focus=<re></code></td>
|
|
|
|
|
<td>
|
|
|
|
|
This option controls what region of the graph is displayed
|
|
|
|
|
based on the regular expression supplied with the option.
|
|
|
|
|
For any path in the callgraph, we check all nodes in the path
|
|
|
|
|
against the supplied regular expression. If none of the nodes
|
|
|
|
|
match, the path is dropped from the output.
|
|
|
|
|
</td>
|
|
|
|
|
</tr>
|
|
|
|
|
<tr valign=top>
|
|
|
|
|
<td><code>--ignore=<re></code></td>
|
|
|
|
|
<td>
|
|
|
|
|
This option controls what region of the graph is displayed
|
|
|
|
|
based on the regular expression supplied with the option.
|
|
|
|
|
For any path in the callgraph, we check all nodes in the path
|
|
|
|
|
against the supplied regular expression. If any of the nodes
|
|
|
|
|
match, the path is dropped from the output.
|
|
|
|
|
</td>
|
|
|
|
|
</tr>
|
|
|
|
|
</table>
|
|
|
|
|
</center>
|
|
|
|
|
|
|
|
|
|
<p>The dropped edges and nodes account for some count mismatches in
|
|
|
|
|
the display. For example, the cumulative count for
|
2007-04-16 20:49:32 +00:00
|
|
|
<code>snprintf()</code> in the first diagram above was 41. However
|
|
|
|
|
the local count (1) and the count along the outgoing edges (12+1+20+6)
|
|
|
|
|
add up to only 40.</p>
|
2007-03-22 03:00:33 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
<h1>Caveats</h1>
|
|
|
|
|
|
|
|
|
|
<ul>
|
2007-04-16 20:49:32 +00:00
|
|
|
<li> If the program exits because of a signal, the generated profile
|
|
|
|
|
will be <font color=red>incomplete, and may perhaps be
|
|
|
|
|
completely empty</font>.
|
|
|
|
|
<li> The displayed graph may have disconnected regions because
|
|
|
|
|
of the edge-dropping heuristics described above.
|
|
|
|
|
<li> If the program linked in a library that was not compiled
|
|
|
|
|
with enough symbolic information, all samples associated
|
|
|
|
|
with the library may be charged to the last symbol found
|
|
|
|
|
in the program before the library. This will artificially
|
|
|
|
|
inflate the count for that symbol.
|
|
|
|
|
<li> If you run the program on one machine, and profile it on
|
|
|
|
|
another, and the shared libraries are different on the two
|
|
|
|
|
machines, the profiling output may be confusing: samples that
|
|
|
|
|
fall within shared libaries may be assigned to arbitrary
|
|
|
|
|
procedures.
|
|
|
|
|
<li> If your program forks, the children will also be profiled
|
|
|
|
|
(since they inherit the same CPUPROFILE setting). Each process
|
|
|
|
|
is profiled separately; to distinguish the child profiles from
|
|
|
|
|
the parent profile and from each other, all children will have
|
|
|
|
|
their process-id appended to the CPUPROFILE name.
|
|
|
|
|
<li> Due to a hack we make to work around a possible gcc bug, your
|
|
|
|
|
profiles may end up named strangely if the first character of
|
|
|
|
|
your CPUPROFILE variable has ascii value greater than 127.
|
|
|
|
|
This should be exceedingly rare, but if you need to use such a
|
|
|
|
|
name, just set prepend <code>./</code> to your filename:
|
|
|
|
|
<code>CPUPROFILE=./Ägypten</code>.
|
2007-03-22 03:00:33 +00:00
|
|
|
</ul>
|
|
|
|
|
|
2007-04-16 20:49:32 +00:00
|
|
|
|
2007-03-22 03:00:33 +00:00
|
|
|
<hr>
|
2007-04-16 20:49:32 +00:00
|
|
|
<address>Sanjay Ghemawat<br>
|
|
|
|
|
<!-- Created: Tue Dec 19 10:43:14 PST 2000 -->
|
|
|
|
|
<!-- hhmts start -->
|
2008-06-14 02:30:53 +00:00
|
|
|
Last modified: Fri May 9 14:41:29 PDT 2008
|
2007-04-16 20:49:32 +00:00
|
|
|
<!-- hhmts end -->
|
|
|
|
|
</address>
|
|
|
|
|
</BODY>
|
|
|
|
|
</HTML>
|
