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<chapter id="profiling">
  <title>Profiling</title>
  <indexterm><primary>profiling</primary>
  </indexterm>
  <indexterm><primary>cost-centre profiling</primary></indexterm>

  <para> Glasgow Haskell comes with a time and space profiling
  system. Its purpose is to help you improve your understanding of
  your program's execution behaviour, so you can improve it.</para>
  
  <para> Any comments, suggestions and/or improvements you have are
  welcome.  Recommended &ldquo;profiling tricks&rdquo; would be
  especially cool! </para>

  <para>Profiling a program is a three-step process:</para>

  <orderedlist>
    <listitem>
      <para> Re-compile your program for profiling with the
      <literal>-prof</literal> option, and probably one of the
      <literal>-auto</literal> or <literal>-auto-all</literal>
      options.  These options are described in more detail in <xref
      linkend="prof-compiler-options"/> </para>
      <indexterm><primary><literal>-prof</literal></primary>
      </indexterm>
      <indexterm><primary><literal>-auto</literal></primary>
      </indexterm>
      <indexterm><primary><literal>-auto-all</literal></primary>
      </indexterm>
    </listitem>

    <listitem>
      <para> Run your program with one of the profiling options, eg.
      <literal>+RTS -p -RTS</literal>.  This generates a file of
      profiling information.</para>
      <indexterm><primary><option>-p</option></primary><secondary>RTS
      option</secondary></indexterm>
    </listitem>
      
    <listitem>
      <para> Examine the generated profiling information, using one of
      GHC's profiling tools.  The tool to use will depend on the kind
      of profiling information generated.</para>
    </listitem>
    
  </orderedlist>
  
  <sect1 id="cost-centres">
    <title>Cost centres and cost-centre stacks</title>
    
    <para>GHC's profiling system assigns <firstterm>costs</firstterm>
    to <firstterm>cost centres</firstterm>.  A cost is simply the time
    or space required to evaluate an expression.  Cost centres are
    program annotations around expressions; all costs incurred by the
    annotated expression are assigned to the enclosing cost centre.
    Furthermore, GHC will remember the stack of enclosing cost centres
    for any given expression at run-time and generate a call-graph of
    cost attributions.</para>

    <para>Let's take a look at an example:</para>

    <programlisting>
main = print (nfib 25)
nfib n = if n &lt; 2 then 1 else nfib (n-1) + nfib (n-2)
</programlisting>

    <para>Compile and run this program as follows:</para>

    <screen>
$ ghc -prof -auto-all -o Main Main.hs
$ ./Main +RTS -p
121393
$
</screen>

    <para>When a GHC-compiled program is run with the
    <option>-p</option> RTS option, it generates a file called
    <filename>&lt;prog&gt;.prof</filename>.  In this case, the file
    will contain something like this:</para>

<screen>
          Fri May 12 14:06 2000 Time and Allocation Profiling Report  (Final)

           Main +RTS -p -RTS

        total time  =        0.14 secs   (7 ticks @ 20 ms)
        total alloc =   8,741,204 bytes  (excludes profiling overheads)

COST CENTRE          MODULE     %time %alloc

nfib                 Main       100.0  100.0


                                              individual     inherited
COST CENTRE              MODULE      entries %time %alloc   %time %alloc

MAIN                     MAIN             0    0.0   0.0    100.0 100.0
 main                    Main             0    0.0   0.0      0.0   0.0
 CAF                     PrelHandle       3    0.0   0.0      0.0   0.0
 CAF                     PrelAddr         1    0.0   0.0      0.0   0.0
 CAF                     Main             6    0.0   0.0    100.0 100.0
  main                   Main             1    0.0   0.0    100.0 100.0
   nfib                  Main        242785  100.0 100.0    100.0 100.0
</screen>


    <para>The first part of the file gives the program name and
    options, and the total time and total memory allocation measured
    during the run of the program (note that the total memory
    allocation figure isn't the same as the amount of
    <emphasis>live</emphasis> memory needed by the program at any one
    time; the latter can be determined using heap profiling, which we
    will describe shortly).</para>

    <para>The second part of the file is a break-down by cost centre
    of the most costly functions in the program.  In this case, there
    was only one significant function in the program, namely
    <function>nfib</function>, and it was responsible for 100&percnt;
    of both the time and allocation costs of the program.</para>

    <para>The third and final section of the file gives a profile
    break-down by cost-centre stack.  This is roughly a call-graph
    profile of the program.  In the example above, it is clear that
    the costly call to <function>nfib</function> came from
    <function>main</function>.</para>

    <para>The time and allocation incurred by a given part of the
    program is displayed in two ways: &ldquo;individual&rdquo;, which
    are the costs incurred by the code covered by this cost centre
    stack alone, and &ldquo;inherited&rdquo;, which includes the costs
    incurred by all the children of this node.</para>

    <para>The usefulness of cost-centre stacks is better demonstrated
    by  modifying the example slightly:</para>

    <programlisting>
main = print (f 25 + g 25)
f n  = nfib n
g n  = nfib (n `div` 2)
nfib n = if n &lt; 2 then 1 else nfib (n-1) + nfib (n-2)
</programlisting>

    <para>Compile and run this program as before, and take a look at
    the new profiling results:</para>

<screen>
COST CENTRE              MODULE         scc  %time %alloc   %time %alloc

MAIN                     MAIN             0    0.0   0.0    100.0 100.0
 main                    Main             0    0.0   0.0      0.0   0.0
 CAF                     PrelHandle       3    0.0   0.0      0.0   0.0
 CAF                     PrelAddr         1    0.0   0.0      0.0   0.0
 CAF                     Main             9    0.0   0.0    100.0 100.0
  main                   Main             1    0.0   0.0    100.0 100.0
   g                     Main             1    0.0   0.0      0.0   0.2
    nfib                 Main           465    0.0   0.2      0.0   0.2
   f                     Main             1    0.0   0.0    100.0  99.8
    nfib                 Main        242785  100.0  99.8    100.0  99.8
</screen>

    <para>Now although we had two calls to <function>nfib</function>
    in the program, it is immediately clear that it was the call from
    <function>f</function> which took all the time.</para>

    <para>The actual meaning of the various columns in the output is:</para>

    <variablelist>
      <varlistentry>
        <term>entries</term>
        <listitem>
          <para>The number of times this particular point in the call
          graph was entered.</para>
        </listitem>
      </varlistentry>

      <varlistentry>
        <term>individual &percnt;time</term>
        <listitem>
          <para>The percentage of the total run time of the program
          spent at this point in the call graph.</para>
        </listitem>
      </varlistentry>

      <varlistentry>
        <term>individual &percnt;alloc</term>
        <listitem>
          <para>The percentage of the total memory allocations
          (excluding profiling overheads) of the program made by this
          call.</para>
        </listitem>
      </varlistentry>

      <varlistentry>
        <term>inherited &percnt;time</term>
        <listitem>
          <para>The percentage of the total run time of the program
          spent below this point in the call graph.</para>
        </listitem>
      </varlistentry>

      <varlistentry>
        <term>inherited &percnt;alloc</term>
        <listitem>
          <para>The percentage of the total memory allocations
          (excluding profiling overheads) of the program made by this
          call and all of its sub-calls.</para>
        </listitem>
      </varlistentry>
    </variablelist>

    <para>In addition you can use the <option>-P</option> RTS option
    <indexterm><primary><option>-P</option></primary></indexterm> to
    get the following additional information:</para>

    <variablelist>
      <varlistentry>
        <term><literal>ticks</literal></term>
        <listitem>
          <para>The raw number of time &ldquo;ticks&rdquo; which were
          attributed to this cost-centre; from this, we get the
          <literal>&percnt;time</literal> figure mentioned
          above.</para>
        </listitem>
      </varlistentry>

      <varlistentry>
        <term><literal>bytes</literal></term>
        <listitem>
          <para>Number of bytes allocated in the heap while in this
          cost-centre; again, this is the raw number from which we get
          the <literal>&percnt;alloc</literal> figure mentioned
          above.</para>
        </listitem>
      </varlistentry>
    </variablelist>

    <para>What about recursive functions, and mutually recursive
    groups of functions?  Where are the costs attributed?  Well,
    although GHC does keep information about which groups of functions
    called each other recursively, this information isn't displayed in
    the basic time and allocation profile, instead the call-graph is
    flattened into a tree.  The XML profiling tool (described in <xref
    linkend="prof-xml-tool"/>) will be able to display real loops in
    the call-graph.</para>

    <sect2><title>Inserting cost centres by hand</title>

      <para>Cost centres are just program annotations.  When you say
      <option>-auto-all</option> to the compiler, it automatically
      inserts a cost centre annotation around every top-level function
      in your program, but you are entirely free to add the cost
      centre annotations yourself.</para>

      <para>The syntax of a cost centre annotation is</para>

      <programlisting>
     {-# SCC "name" #-} &lt;expression&gt;
</programlisting>

      <para>where <literal>"name"</literal> is an arbitrary string,
      that will become the name of your cost centre as it appears
      in the profiling output, and
      <literal>&lt;expression&gt;</literal> is any Haskell
      expression.  An <literal>SCC</literal> annotation extends as
      far to the right as possible when parsing.</para>

    </sect2>

    <sect2 id="prof-rules">
      <title>Rules for attributing costs</title>

      <para>The cost of evaluating any expression in your program is
      attributed to a cost-centre stack using the following rules:</para>

      <itemizedlist>
        <listitem>
          <para>If the expression is part of the
          <firstterm>one-off</firstterm> costs of evaluating the
          enclosing top-level definition, then costs are attributed to
          the stack of lexically enclosing <literal>SCC</literal>
          annotations on top of the special <literal>CAF</literal>
          cost-centre. </para>
        </listitem>

        <listitem>
          <para>Otherwise, costs are attributed to the stack of
          lexically-enclosing <literal>SCC</literal> annotations,
          appended to the cost-centre stack in effect at the
          <firstterm>call site</firstterm> of the current top-level
          definition<footnote> <para>The call-site is just the place
          in the source code which mentions the particular function or
          variable.</para></footnote>.  Notice that this is a recursive
          definition.</para>
        </listitem>

        <listitem>
          <para>Time spent in foreign code (see <xref linkend="ffi"/>)
          is always attributed to the cost centre in force at the
          Haskell call-site of the foreign function.</para>
        </listitem>
      </itemizedlist>

      <para>What do we mean by one-off costs?  Well, Haskell is a lazy
      language, and certain expressions are only ever evaluated once.
      For example, if we write:</para>

      <programlisting>
x = nfib 25
</programlisting>

      <para>then <varname>x</varname> will only be evaluated once (if
      at all), and subsequent demands for <varname>x</varname> will
      immediately get to see the cached result.  The definition
      <varname>x</varname> is called a CAF (Constant Applicative
      Form), because it has no arguments.</para>

      <para>For the purposes of profiling, we say that the expression
      <literal>nfib 25</literal> belongs to the one-off costs of
      evaluating <varname>x</varname>.</para>

      <para>Since one-off costs aren't strictly speaking part of the
      call-graph of the program, they are attributed to a special
      top-level cost centre, <literal>CAF</literal>.  There may be one
      <literal>CAF</literal> cost centre for each module (the
      default), or one for each top-level definition with any one-off
      costs (this behaviour can be selected by giving GHC the
      <option>-caf-all</option> flag).</para>

      <indexterm><primary><literal>-caf-all</literal></primary>
      </indexterm>

      <para>If you think you have a weird profile, or the call-graph
      doesn't look like you expect it to, feel free to send it (and
      your program) to us at
      <email>glasgow-haskell-bugs@haskell.org</email>.</para>
    </sect2>
  </sect1>

  <sect1 id="prof-compiler-options">
    <title>Compiler options for profiling</title>

    <indexterm><primary>profiling</primary><secondary>options</secondary></indexterm>
    <indexterm><primary>options</primary><secondary>for profiling</secondary></indexterm>

    <variablelist>
      <varlistentry>
        <term>
          <option>-prof</option>:
          <indexterm><primary><option>-prof</option></primary></indexterm>
        </term>
        <listitem>
          <para> To make use of the profiling system
          <emphasis>all</emphasis> modules must be compiled and linked
          with the <option>-prof</option> option. Any
          <literal>SCC</literal> annotations you've put in your source
          will spring to life.</para>

          <para> Without a <option>-prof</option> option, your
          <literal>SCC</literal>s are ignored; so you can compile
          <literal>SCC</literal>-laden code without changing
          it.</para>
        </listitem>
      </varlistentry>
    </variablelist>
      
    <para>There are a few other profiling-related compilation options.
    Use them <emphasis>in addition to</emphasis>
    <option>-prof</option>.  These do not have to be used consistently
    for all modules in a program.</para>

    <variablelist>
      <varlistentry>
        <term>
          <option>-auto</option>:
          <indexterm><primary><option>-auto</option></primary></indexterm>
          <indexterm><primary>cost centres</primary><secondary>automatically inserting</secondary></indexterm>
        </term>
        <listitem>
          <para> GHC will automatically add
          <function>&lowbar;scc&lowbar;</function> constructs for all
          top-level, exported functions.</para>
        </listitem>
      </varlistentry>
      
      <varlistentry>
        <term>
          <option>-auto-all</option>:
          <indexterm><primary><option>-auto-all</option></primary></indexterm>
        </term>
        <listitem>
          <para> <emphasis>All</emphasis> top-level functions,
          exported or not, will be automatically
          <function>&lowbar;scc&lowbar;</function>'d.</para>
        </listitem>
      </varlistentry>

      <varlistentry>
        <term>
          <option>-caf-all</option>:
          <indexterm><primary><option>-caf-all</option></primary></indexterm>
        </term>
        <listitem>
          <para> The costs of all CAFs in a module are usually
          attributed to one &ldquo;big&rdquo; CAF cost-centre. With
          this option, all CAFs get their own cost-centre.  An
          &ldquo;if all else fails&rdquo; option&hellip;</para>
        </listitem>
      </varlistentry>

      <varlistentry>
        <term>
          <option>-ignore-scc</option>:
          <indexterm><primary><option>-ignore-scc</option></primary></indexterm>
        </term>
        <listitem>
          <para>Ignore any <function>&lowbar;scc&lowbar;</function>
          constructs, so a module which already has
          <function>&lowbar;scc&lowbar;</function>s can be compiled
          for profiling with the annotations ignored.</para>
        </listitem>
      </varlistentry>

    </variablelist>

  </sect1>

  <sect1 id="prof-time-options">
    <title>Time and allocation profiling</title>

    <para>To generate a time and allocation profile, give one of the
    following RTS options to the compiled program when you run it (RTS
    options should be enclosed between <literal>+RTS...-RTS</literal>
    as usual):</para>

    <variablelist>
      <varlistentry>
        <term>
          <option>-p</option> or <option>-P</option>:
          <indexterm><primary><option>-p</option></primary></indexterm>
          <indexterm><primary><option>-P</option></primary></indexterm>
          <indexterm><primary>time profile</primary></indexterm>
        </term>
        <listitem>
          <para>The <option>-p</option> option produces a standard
          <emphasis>time profile</emphasis> report.  It is written
          into the file
          <filename><replaceable>program</replaceable>.prof</filename>.</para>

          <para>The <option>-P</option> option produces a more
          detailed report containing the actual time and allocation
          data as well.  (Not used much.)</para>
        </listitem>
      </varlistentry>

      <varlistentry>
        <term>
          <option>-px</option>:
          <indexterm><primary><option>-px</option></primary></indexterm>
        </term>
        <listitem>
          <para>The <option>-px</option> option generates profiling
          information in the XML format understood by our new
          profiling tool, see <xref linkend="prof-xml-tool"/>.</para>
        </listitem>
      </varlistentry>

      <varlistentry>
        <term>
          <option>-xc</option>
          <indexterm><primary><option>-xc</option></primary><secondary>RTS option</secondary></indexterm>
        </term>
        <listitem>
          <para>This option makes use of the extra information
          maintained by the cost-centre-stack profiler to provide
          useful information about the location of runtime errors.
          See <xref linkend="rts-options-debugging"/>.</para>
        </listitem>
      </varlistentry>

    </variablelist>
    
  </sect1>

  <sect1 id="prof-heap">
    <title>Profiling memory usage</title>

    <para>In addition to profiling the time and allocation behaviour
    of your program, you can also generate a graph of its memory usage
    over time.  This is useful for detecting the causes of
    <firstterm>space leaks</firstterm>, when your program holds on to
    more memory at run-time that it needs to.  Space leaks lead to
    longer run-times due to heavy garbage collector activity, and may
    even cause the program to run out of memory altogether.</para>

    <para>To generate a heap profile from your program:</para>

    <orderedlist>
      <listitem>
        <para>Compile the program for profiling (<xref
        linkend="prof-compiler-options"/>).</para>
      </listitem>
      <listitem>
        <para>Run it with one of the heap profiling options described
        below (eg. <option>-hc</option> for a basic producer profile).
        This generates the file
        <filename><replaceable>prog</replaceable>.hp</filename>.</para>
      </listitem>
      <listitem>
        <para>Run <command>hp2ps</command> to produce a Postscript
        file,
        <filename><replaceable>prog</replaceable>.ps</filename>.  The
        <command>hp2ps</command> utility is described in detail in
        <xref linkend="hp2ps"/>.</para> 
      </listitem>
      <listitem>
        <para>Display the heap profile using a postscript viewer such
        as <application>Ghostview</application>, or print it out on a
        Postscript-capable printer.</para>
      </listitem>
    </orderedlist>

    <sect2 id="rts-options-heap-prof">
      <title>RTS options for heap profiling</title>

      <para>There are several different kinds of heap profile that can
      be generated.  All the different profile types yield a graph of
      live heap against time, but they differ in how the live heap is
      broken down into bands.  The following RTS options select which
      break-down to use:</para>

      <variablelist>
        <varlistentry>
          <term>
            <option>-hc</option>
            <indexterm><primary><option>-hc</option></primary><secondary>RTS option</secondary></indexterm>
          </term>
          <listitem>
            <para>Breaks down the graph by the cost-centre stack which
            produced the data.</para>
          </listitem>
        </varlistentry>

        <varlistentry>
          <term>
            <option>-hm</option>
            <indexterm><primary><option>-hm</option></primary><secondary>RTS option</secondary></indexterm>
          </term>
          <listitem>
            <para>Break down the live heap by the module containing
            the code which produced the data.</para>
          </listitem>
        </varlistentry>

        <varlistentry>
          <term>
            <option>-hd</option>
            <indexterm><primary><option>-hd</option></primary><secondary>RTS option</secondary></indexterm>
          </term>
          <listitem>
            <para>Breaks down the graph by <firstterm>closure
            description</firstterm>.  For actual data, the description
            is just the constructor name, for other closures it is a
            compiler-generated string identifying the closure.</para>
          </listitem>
        </varlistentry>

        <varlistentry>
          <term>
            <option>-hy</option>
            <indexterm><primary><option>-hy</option></primary><secondary>RTS option</secondary></indexterm>
          </term>
          <listitem>
            <para>Breaks down the graph by
            <firstterm>type</firstterm>.  For closures which have
            function type or unknown/polymorphic type, the string will
            represent an approximation to the actual type.</para>
          </listitem>
        </varlistentry>
        
        <varlistentry>
          <term>
            <option>-hr</option>
            <indexterm><primary><option>-hr</option></primary><secondary>RTS option</secondary></indexterm>
          </term>
          <listitem>
            <para>Break down the graph by <firstterm>retainer
            set</firstterm>.  Retainer profiling is described in more
            detail below (<xref linkend="retainer-prof"/>).</para>
          </listitem>
        </varlistentry>

        <varlistentry>
          <term>
            <option>-hb</option>
            <indexterm><primary><option>-hb</option></primary><secondary>RTS option</secondary></indexterm>
          </term>
          <listitem>
            <para>Break down the graph by
            <firstterm>biography</firstterm>.  Biographical profiling
            is described in more detail below (<xref
            linkend="biography-prof"/>).</para>
          </listitem>
        </varlistentry>
      </variablelist>

      <para>In addition, the profile can be restricted to heap data
      which satisfies certain criteria - for example, you might want
      to display a profile by type but only for data produced by a
      certain module, or a profile by retainer for a certain type of
      data.  Restrictions are specified as follows:</para>
      
      <variablelist>
        <varlistentry>
          <term>
            <option>-hc</option><replaceable>name</replaceable>,...
            <indexterm><primary><option>-hc</option></primary><secondary>RTS option</secondary></indexterm>
          </term>
          <listitem>
            <para>Restrict the profile to closures produced by
            cost-centre stacks with one of the specified cost centres
            at the top.</para>
          </listitem>
        </varlistentry>

        <varlistentry>
          <term>
            <option>-hC</option><replaceable>name</replaceable>,...
            <indexterm><primary><option>-hC</option></primary><secondary>RTS option</secondary></indexterm>
          </term>
          <listitem>
            <para>Restrict the profile to closures produced by
            cost-centre stacks with one of the specified cost centres
            anywhere in the stack.</para>
          </listitem>
        </varlistentry>

        <varlistentry>
          <term>
            <option>-hm</option><replaceable>module</replaceable>,...
            <indexterm><primary><option>-hm</option></primary><secondary>RTS option</secondary></indexterm>
          </term>
          <listitem>
            <para>Restrict the profile to closures produced by the
            specified modules.</para>
          </listitem>
        </varlistentry>

        <varlistentry>
          <term>
            <option>-hd</option><replaceable>desc</replaceable>,...
            <indexterm><primary><option>-hd</option></primary><secondary>RTS option</secondary></indexterm>
          </term>
          <listitem>
            <para>Restrict the profile to closures with the specified
            description strings.</para>
          </listitem>
        </varlistentry>

        <varlistentry>
          <term>
            <option>-hy</option><replaceable>type</replaceable>,...
            <indexterm><primary><option>-hy</option></primary><secondary>RTS option</secondary></indexterm>
          </term>
          <listitem>
            <para>Restrict the profile to closures with the specified
            types.</para>
          </listitem>
        </varlistentry>
        
        <varlistentry>
          <term>
            <option>-hr</option><replaceable>cc</replaceable>,...
            <indexterm><primary><option>-hr</option></primary><secondary>RTS option</secondary></indexterm>
          </term>
          <listitem>
            <para>Restrict the profile to closures with retainer sets
            containing cost-centre stacks with one of the specified
            cost centres at the top.</para>
          </listitem>
        </varlistentry>

        <varlistentry>
          <term>
            <option>-hb</option><replaceable>bio</replaceable>,...
            <indexterm><primary><option>-hb</option></primary><secondary>RTS option</secondary></indexterm>
          </term>
          <listitem>
            <para>Restrict the profile to closures with one of the
            specified biographies, where
            <replaceable>bio</replaceable> is one of
            <literal>lag</literal>, <literal>drag</literal>,
            <literal>void</literal>, or <literal>use</literal>.</para>
          </listitem>
        </varlistentry>
      </variablelist>

      <para>For example, the following options will generate a
      retainer profile restricted to <literal>Branch</literal> and
      <literal>Leaf</literal> constructors:</para>

<screen>
<replaceable>prog</replaceable> +RTS -hr -hdBranch,Leaf
</screen>

      <para>There can only be one "break-down" option
      (eg. <option>-hr</option> in the example above), but there is no
      limit on the number of further restrictions that may be applied.
      All the options may be combined, with one exception: GHC doesn't
      currently support mixing the <option>-hr</option> and
      <option>-hb</option> options.</para>

      <para>There are two more options which relate to heap
      profiling:</para>

      <variablelist>
        <varlistentry>
          <term>
            <option>-i<replaceable>secs</replaceable></option>:
            <indexterm><primary><option>-i</option></primary></indexterm>
          </term>
          <listitem>
            <para>Set the profiling (sampling) interval to
            <replaceable>secs</replaceable> seconds (the default is
            0.1&nbsp;second).  Fractions are allowed: for example
            <option>-i0.2</option> will get 5 samples per second.
            This only affects heap profiling; time profiles are always
            sampled on a 1/50 second frequency.</para>
          </listitem>
        </varlistentry>

        <varlistentry>
          <term>
            <option>-xt</option>
            <indexterm><primary><option>-xt</option></primary><secondary>RTS option</secondary></indexterm>
          </term>
          <listitem>
            <para>Include the memory occupied by threads in a heap
            profile.  Each thread takes up a small area for its thread
            state in addition to the space allocated for its stack
            (stacks normally start small and then grow as
            necessary).</para>
            
            <para>This includes the main thread, so using
            <option>-xt</option> is a good way to see how much stack
            space the program is using.</para>

            <para>Memory occupied by threads and their stacks is
            labelled as &ldquo;TSO&rdquo; when displaying the profile
            by closure description or type description.</para>
          </listitem>
        </varlistentry>
      </variablelist>

    </sect2>
    
    <sect2 id="retainer-prof">
      <title>Retainer Profiling</title>

      <para>Retainer profiling is designed to help answer questions
      like <quote>why is this data being retained?</quote>.  We start
      by defining what we mean by a retainer:</para>

      <blockquote>
        <para>A retainer is either the system stack, or an unevaluated
        closure (thunk).</para>
      </blockquote>

      <para>In particular, constructors are <emphasis>not</emphasis>
      retainers.</para>

      <para>An object B retains object A if (i) B is a retainer object and
     (ii) object A can be reached by recursively following pointers
     starting from object B, but not meeting any other retainer
     objects on the way. Each live object is retained by one or more
     retainer objects, collectively called its retainer set, or its
      <firstterm>retainer set</firstterm>, or its
      <firstterm>retainers</firstterm>.</para>

      <para>When retainer profiling is requested by giving the program
      the <option>-hr</option> option, a graph is generated which is
      broken down by retainer set.  A retainer set is displayed as a
      set of cost-centre stacks; because this is usually too large to
      fit on the profile graph, each retainer set is numbered and
      shown abbreviated on the graph along with its number, and the
      full list of retainer sets is dumped into the file
      <filename><replaceable>prog</replaceable>.prof</filename>.</para>

      <para>Retainer profiling requires multiple passes over the live
      heap in order to discover the full retainer set for each
      object, which can be quite slow.  So we set a limit on the
      maximum size of a retainer set, where all retainer sets larger
      than the maximum retainer set size are replaced by the special
      set <literal>MANY</literal>.  The maximum set size defaults to 8
      and can be altered with the <option>-R</option> RTS
      option:</para>
      
      <variablelist>
        <varlistentry>
          <term><option>-R</option><replaceable>size</replaceable></term>
          <listitem>
            <para>Restrict the number of elements in a retainer set to
            <replaceable>size</replaceable> (default 8).</para>
          </listitem>
        </varlistentry>
      </variablelist>

      <sect3>
        <title>Hints for using retainer profiling</title>

        <para>The definition of retainers is designed to reflect a
        common cause of space leaks: a large structure is retained by
        an unevaluated computation, and will be released once the
        computation is forced.  A good example is looking up a value in
        a finite map, where unless the lookup is forced in a timely
        manner the unevaluated lookup will cause the whole mapping to
        be retained.  These kind of space leaks can often be
        eliminated by forcing the relevant computations to be
        performed eagerly, using <literal>seq</literal> or strictness
        annotations on data constructor fields.</para>

        <para>Often a particular data structure is being retained by a
        chain of unevaluated closures, only the nearest of which will
        be reported by retainer profiling - for example A retains B, B
        retains C, and C retains a large structure.  There might be a
        large number of Bs but only a single A, so A is really the one
        we're interested in eliminating.  However, retainer profiling
        will in this case report B as the retainer of the large
        structure.  To move further up the chain of retainers, we can
        ask for another retainer profile but this time restrict the
        profile to B objects, so we get a profile of the retainers of
        B:</para>

<screen>
<replaceable>prog</replaceable> +RTS -hr -hcB
</screen>
        
        <para>This trick isn't foolproof, because there might be other
        B closures in the heap which aren't the retainers we are
        interested in, but we've found this to be a useful technique
        in most cases.</para>
      </sect3>
    </sect2>

    <sect2 id="biography-prof">
      <title>Biographical Profiling</title>

      <para>A typical heap object may be in one of the following four
      states at each point in its lifetime:</para>

      <itemizedlist>
        <listitem>
          <para>The <firstterm>lag</firstterm> stage, which is the
          time between creation and the first use of the
          object,</para>
        </listitem>
        <listitem>
          <para>the <firstterm>use</firstterm> stage, which lasts from
          the first use until the last use of the object, and</para>
        </listitem>
        <listitem>
          <para>The <firstterm>drag</firstterm> stage, which lasts
          from the final use until the last reference to the object
          is dropped.</para>
        </listitem>
        <listitem>
          <para>An object which is never used is said to be in the
          <firstterm>void</firstterm> state for its whole
          lifetime.</para>
        </listitem>
      </itemizedlist>

      <para>A biographical heap profile displays the portion of the
      live heap in each of the four states listed above.  Usually the
      most interesting states are the void and drag states: live heap
      in these states is more likely to be wasted space than heap in
      the lag or use states.</para>

      <para>It is also possible to break down the heap in one or more
      of these states by a different criteria, by restricting a
      profile by biography.  For example, to show the portion of the
      heap in the drag or void state by producer: </para>

<screen>
<replaceable>prog</replaceable> +RTS -hc -hbdrag,void
</screen>

      <para>Once you know the producer or the type of the heap in the
      drag or void states, the next step is usually to find the
      retainer(s):</para>

<screen>
<replaceable>prog</replaceable> +RTS -hr -hc<replaceable>cc</replaceable>...
</screen>

      <para>NOTE: this two stage process is required because GHC
      cannot currently profile using both biographical and retainer
      information simultaneously.</para>
    </sect2>

    <sect2 id="mem-residency">
      <title>Actual memory residency</title>

      <para>How does the heap residency reported by the heap profiler relate to
        the actual memory residency of your program when you run it?  You might
        see a large discrepancy between the residency reported by the heap
        profiler, and the residency reported by tools on your system
        (eg. <literal>ps</literal> or <literal>top</literal> on Unix, or the
        Task Manager on Windows).  There are several reasons for this:</para>

      <itemizedlist>
        <listitem>
          <para>There is an overhead of profiling itself, which is subtracted
            from the residency figures by the profiler.  This overhead goes
            away when compiling without profiling support, of course.  The
            space overhead is currently 2 extra
            words per heap object, which probably results in
            about a 30% overhead.</para>
        </listitem>

        <listitem>
          <para>Garbage collection requires more memory than the actual
            residency.  The factor depends on the kind of garbage collection
            algorithm in use:  a major GC in the standard
            generation copying collector will usually require 3L bytes of
            memory, where L is the amount of live data.  This is because by
            default (see the <option>+RTS -F</option> option) we allow the old
            generation to grow to twice its size (2L) before collecting it, and
            we require additionally L bytes to copy the live data into.  When
            using compacting collection (see the <option>+RTS -c</option>
            option), this is reduced to 2L, and can further be reduced by
            tweaking the <option>-F</option> option.  Also add the size of the
            allocation area (currently a fixed 512Kb).</para>
        </listitem>

        <listitem>
          <para>The stack isn't counted in the heap profile by default.  See the
    <option>+RTS -xt</option> option.</para>
        </listitem>

        <listitem>
          <para>The program text itself, the C stack, any non-heap data (eg. data
            allocated by foreign libraries, and data allocated by the RTS), and
            <literal>mmap()</literal>'d memory are not counted in the heap profile.</para>
        </listitem>
      </itemizedlist>
    </sect2>

  </sect1>

  <sect1 id="prof-xml-tool">
    <title>Graphical time/allocation profile</title>

    <para>You can view the time and allocation profiling graph of your
    program graphically, using <command>ghcprof</command>.  This is a
    new tool with GHC 4.08, and will eventually be the de-facto
    standard way of viewing GHC profiles<footnote><para>Actually this
    isn't true any more, we are working on a new tool for
    displaying heap profiles using Gtk+HS, so
    <command>ghcprof</command> may go away at some point in the future.</para>
      </footnote></para>

    <para>To run <command>ghcprof</command>, you need
    <productname>uDraw(Graph)</productname> installed, which can be
    obtained from <ulink
    url="http://www.informatik.uni-bremen.de/uDrawGraph/en/uDrawGraph/uDrawGraph.html"><citetitle>uDraw(Graph)</citetitle></ulink>.  Install one of
    the binary
    distributions, and set your
    <envar>UDG_HOME</envar> environment variable to point to the
    installation directory.</para>

    <para><command>ghcprof</command> uses an XML-based profiling log
    format, and you therefore need to run your program with a
    different option: <option>-px</option>.  The file generated is
    still called <filename>&lt;prog&gt;.prof</filename>.  To see the
    profile, run <command>ghcprof</command> like this:</para>

    <indexterm><primary><option>-px</option></primary></indexterm>

<screen>
$ ghcprof &lt;prog&gt;.prof
</screen>

    <para>which should pop up a window showing the call-graph of your
    program in glorious detail.  More information on using
    <command>ghcprof</command> can be found at <ulink
    url="http://www.dcs.warwick.ac.uk/people/academic/Stephen.Jarvis/profiler/index.html"><citetitle>The
    Cost-Centre Stack Profiling Tool for
    GHC</citetitle></ulink>.</para>

  </sect1>

  <sect1 id="hp2ps">
    <title><command>hp2ps</command>&ndash;&ndash;heap profile to PostScript</title>

    <indexterm><primary><command>hp2ps</command></primary></indexterm>
    <indexterm><primary>heap profiles</primary></indexterm>
    <indexterm><primary>postscript, from heap profiles</primary></indexterm>
    <indexterm><primary><option>-h&lt;break-down&gt;</option></primary></indexterm>
    
    <para>Usage:</para>
    
<screen>
hp2ps [flags] [&lt;file&gt;[.hp]]
</screen>

    <para>The program
    <command>hp2ps</command><indexterm><primary>hp2ps
    program</primary></indexterm> converts a heap profile as produced
    by the <option>-h&lt;break-down&gt;</option> runtime option into a
    PostScript graph of the heap profile. By convention, the file to
    be processed by <command>hp2ps</command> has a
    <filename>.hp</filename> extension. The PostScript output is
    written to <filename>&lt;file&gt;@.ps</filename>. If
    <filename>&lt;file&gt;</filename> is omitted entirely, then the
    program behaves as a filter.</para>

    <para><command>hp2ps</command> is distributed in
    <filename>ghc/utils/hp2ps</filename> in a GHC source
    distribution. It was originally developed by Dave Wakeling as part
    of the HBC/LML heap profiler.</para>

    <para>The flags are:</para>

    <variablelist>
      
      <varlistentry>
        <term><option>-d</option></term>
        <listitem>
          <para>In order to make graphs more readable,
          <command>hp2ps</command> sorts the shaded bands for each
          identifier. The default sort ordering is for the bands with
          the largest area to be stacked on top of the smaller ones.
          The <option>-d</option> option causes rougher bands (those
          representing series of values with the largest standard
          deviations) to be stacked on top of smoother ones.</para>
        </listitem>
      </varlistentry>

      <varlistentry>
        <term><option>-b</option></term>
        <listitem>
          <para>Normally, <command>hp2ps</command> puts the title of
          the graph in a small box at the top of the page. However, if
          the JOB string is too long to fit in a small box (more than
          35 characters), then <command>hp2ps</command> will choose to
          use a big box instead.  The <option>-b</option> option
          forces <command>hp2ps</command> to use a big box.</para>
        </listitem>
      </varlistentry>

      <varlistentry>
        <term><option>-e&lt;float&gt;[in&verbar;mm&verbar;pt]</option></term>
        <listitem>
          <para>Generate encapsulated PostScript suitable for
          inclusion in LaTeX documents.  Usually, the PostScript graph
          is drawn in landscape mode in an area 9 inches wide by 6
          inches high, and <command>hp2ps</command> arranges for this
          area to be approximately centred on a sheet of a4 paper.
          This format is convenient of studying the graph in detail,
          but it is unsuitable for inclusion in LaTeX documents.  The
          <option>-e</option> option causes the graph to be drawn in
          portrait mode, with float specifying the width in inches,
          millimetres or points (the default).  The resulting
          PostScript file conforms to the Encapsulated PostScript
          (EPS) convention, and it can be included in a LaTeX document
          using Rokicki's dvi-to-PostScript converter
          <command>dvips</command>.</para>
        </listitem>
      </varlistentry>

      <varlistentry>
        <term><option>-g</option></term>
        <listitem>
          <para>Create output suitable for the <command>gs</command>
          PostScript previewer (or similar). In this case the graph is
          printed in portrait mode without scaling. The output is
          unsuitable for a laser printer.</para>
        </listitem>
      </varlistentry>

      <varlistentry>
        <term><option>-l</option></term>
        <listitem>
          <para>Normally a profile is limited to 20 bands with
          additional identifiers being grouped into an
          <literal>OTHER</literal> band. The <option>-l</option> flag
          removes this 20 band and limit, producing as many bands as
          necessary. No key is produced as it won't fit!. It is useful
          for creation time profiles with many bands.</para>
        </listitem>
      </varlistentry>

      <varlistentry>
        <term><option>-m&lt;int&gt;</option></term>
        <listitem>
          <para>Normally a profile is limited to 20 bands with
          additional identifiers being grouped into an
          <literal>OTHER</literal> band. The <option>-m</option> flag
          specifies an alternative band limit (the maximum is
          20).</para>

          <para><option>-m0</option> requests the band limit to be
          removed. As many bands as necessary are produced. However no
          key is produced as it won't fit! It is useful for displaying
          creation time profiles with many bands.</para>
        </listitem>
      </varlistentry>

      <varlistentry>
        <term><option>-p</option></term>
        <listitem>
          <para>Use previous parameters. By default, the PostScript
          graph is automatically scaled both horizontally and
          vertically so that it fills the page.  However, when
          preparing a series of graphs for use in a presentation, it
          is often useful to draw a new graph using the same scale,
          shading and ordering as a previous one. The
          <option>-p</option> flag causes the graph to be drawn using
          the parameters determined by a previous run of
          <command>hp2ps</command> on <filename>file</filename>. These
          are extracted from <filename>file@.aux</filename>.</para>
        </listitem>
      </varlistentry>

      <varlistentry>
        <term><option>-s</option></term>
        <listitem>
          <para>Use a small box for the title.</para>
        </listitem>
      </varlistentry>
      
      <varlistentry>
        <term><option>-t&lt;float&gt;</option></term>
        <listitem>
          <para>Normally trace elements which sum to a total of less
          than 1&percnt; of the profile are removed from the
          profile. The <option>-t</option> option allows this
          percentage to be modified (maximum 5&percnt;).</para>

          <para><option>-t0</option> requests no trace elements to be
          removed from the profile, ensuring that all the data will be
          displayed.</para>
        </listitem>
      </varlistentry>

      <varlistentry>
        <term><option>-c</option></term>
        <listitem>
          <para>Generate colour output.</para>
        </listitem>
      </varlistentry>
      
      <varlistentry>
        <term><option>-y</option></term>
        <listitem>
          <para>Ignore marks.</para>
        </listitem>
      </varlistentry>
      
      <varlistentry>
        <term><option>-?</option></term>
        <listitem>
          <para>Print out usage information.</para>
        </listitem>
      </varlistentry>
    </variablelist>


    <sect2 id="manipulating-hp">
      <title>Manipulating the hp file</title>

<para>(Notes kindly offered by Jan-Willhem Maessen.)</para>

<para>
The <filename>FOO.hp</filename> file produced when you ask for the
heap profile of a program <filename>FOO</filename> is a text file with a particularly
simple structure. Here's a representative example, with much of the
actual data omitted:
<screen>
JOB "FOO -hC"
DATE "Thu Dec 26 18:17 2002"
SAMPLE_UNIT "seconds"
VALUE_UNIT "bytes"
BEGIN_SAMPLE 0.00
END_SAMPLE 0.00
BEGIN_SAMPLE 15.07
  ... sample data ...
END_SAMPLE 15.07
BEGIN_SAMPLE 30.23
  ... sample data ...
END_SAMPLE 30.23
... etc.
BEGIN_SAMPLE 11695.47
END_SAMPLE 11695.47
</screen>
The first four lines (<literal>JOB</literal>, <literal>DATE</literal>, <literal>SAMPLE_UNIT</literal>, <literal>VALUE_UNIT</literal>) form a
header.  Each block of lines starting with <literal>BEGIN_SAMPLE</literal> and ending
with <literal>END_SAMPLE</literal> forms a single sample (you can think of this as a
vertical slice of your heap profile).  The hp2ps utility should accept
any input with a properly-formatted header followed by a series of
*complete* samples.
</para>
</sect2>

    <sect2>
      <title>Zooming in on regions of your profile</title>

<para>
You can look at particular regions of your profile simply by loading a
copy of the <filename>.hp</filename> file into a text editor and deleting the unwanted
samples.  The resulting <filename>.hp</filename> file can be run through <command>hp2ps</command> and viewed
or printed.
</para>
</sect2>

    <sect2>
      <title>Viewing the heap profile of a running program</title>

<para>
The <filename>.hp</filename> file is generated incrementally as your
program runs.  In principle, running <command>hp2ps</command> on the incomplete file
should produce a snapshot of your program's heap usage.  However, the
last sample in the file may be incomplete, causing <command>hp2ps</command> to fail.  If
you are using a machine with UNIX utilities installed, it's not too
hard to work around this problem (though the resulting command line
looks rather Byzantine):
<screen>
  head -`fgrep -n END_SAMPLE FOO.hp | tail -1 | cut -d : -f 1` FOO.hp \
    | hp2ps > FOO.ps
</screen>

The command <command>fgrep -n END_SAMPLE FOO.hp</command> finds the
end of every complete sample in <filename>FOO.hp</filename>, and labels each sample with
its ending line number.  We then select the line number of the last
complete sample using <command>tail</command> and <command>cut</command>.  This is used as a
parameter to <command>head</command>; the result is as if we deleted the final
incomplete sample from <filename>FOO.hp</filename>.  This results in a properly-formatted
.hp file which we feed directly to <command>hp2ps</command>.
</para>
</sect2>
    <sect2>
      <title>Viewing a heap profile in real time</title>

<para>
The <command>gv</command> and <command>ghostview</command> programs
have a "watch file" option can be used to view an up-to-date heap
profile of your program as it runs.  Simply generate an incremental
heap profile as described in the previous section.  Run <command>gv</command> on your
profile:
<screen>
  gv -watch -seascape FOO.ps 
</screen>
If you forget the <literal>-watch</literal> flag you can still select
"Watch file" from the "State" menu.  Now each time you generate a new
profile <filename>FOO.ps</filename> the view will update automatically.
</para>

<para>
This can all be encapsulated in a little script:
<screen>
  #!/bin/sh
  head -`fgrep -n END_SAMPLE FOO.hp | tail -1 | cut -d : -f 1` FOO.hp \
    | hp2ps > FOO.ps
  gv -watch -seascape FOO.ps &amp;
  while [ 1 ] ; do
    sleep 10 # We generate a new profile every 10 seconds.
    head -`fgrep -n END_SAMPLE FOO.hp | tail -1 | cut -d : -f 1` FOO.hp \
      | hp2ps > FOO.ps
  done
</screen>
Occasionally <command>gv</command> will choke as it tries to read an incomplete copy of
<filename>FOO.ps</filename> (because <command>hp2ps</command> is still running as an update
occurs).  A slightly more complicated script works around this
problem, by using the fact that sending a SIGHUP to gv will cause it
to re-read its input file:
<screen>
  #!/bin/sh
  head -`fgrep -n END_SAMPLE FOO.hp | tail -1 | cut -d : -f 1` FOO.hp \
    | hp2ps > FOO.ps
  gv FOO.ps &amp;
  gvpsnum=$!
  while [ 1 ] ; do
    sleep 10
    head -`fgrep -n END_SAMPLE FOO.hp | tail -1 | cut -d : -f 1` FOO.hp \
      | hp2ps > FOO.ps
    kill -HUP $gvpsnum
  done    
</screen>
</para>
</sect2>


  </sect1>

  <sect1 id="ticky-ticky">
    <title>Using &ldquo;ticky-ticky&rdquo; profiling (for implementors)</title>
    <indexterm><primary>ticky-ticky profiling</primary></indexterm>

    <para>(ToDo: document properly.)</para>

    <para>It is possible to compile Glasgow Haskell programs so that
    they will count lots and lots of interesting things, e.g., number
    of updates, number of data constructors entered, etc., etc.  We
    call this &ldquo;ticky-ticky&rdquo;
    profiling,<indexterm><primary>ticky-ticky
    profiling</primary></indexterm> <indexterm><primary>profiling,
    ticky-ticky</primary></indexterm> because that's the sound a Sun4
    makes when it is running up all those counters
    (<emphasis>slowly</emphasis>).</para>

    <para>Ticky-ticky profiling is mainly intended for implementors;
    it is quite separate from the main &ldquo;cost-centre&rdquo;
    profiling system, intended for all users everywhere.</para>

    <para>To be able to use ticky-ticky profiling, you will need to
    have built appropriate libraries and things when you made the
    system.  See &ldquo;Customising what libraries to build,&rdquo; in
    the installation guide.</para>

    <para>To get your compiled program to spit out the ticky-ticky
    numbers, use a <option>-r</option> RTS
    option<indexterm><primary>-r RTS option</primary></indexterm>.
    See <xref linkend="runtime-control"/>.</para>

    <para>Compiling your program with the <option>-ticky</option>
    switch yields an executable that performs these counts.  Here is a
    sample ticky-ticky statistics file, generated by the invocation
    <command>foo +RTS -rfoo.ticky</command>.</para>

<screen>
 foo +RTS -rfoo.ticky


ALLOCATIONS: 3964631 (11330900 words total: 3999476 admin, 6098829 goods, 1232595 slop)
                                total words:        2     3     4     5    6+
  69647 (  1.8%) function values                 50.0  50.0   0.0   0.0   0.0
2382937 ( 60.1%) thunks                           0.0  83.9  16.1   0.0   0.0
1477218 ( 37.3%) data values                     66.8  33.2   0.0   0.0   0.0
      0 (  0.0%) big tuples
      2 (  0.0%) black holes                      0.0 100.0   0.0   0.0   0.0
      0 (  0.0%) prim things
  34825 (  0.9%) partial applications             0.0   0.0   0.0 100.0   0.0
      2 (  0.0%) thread state objects             0.0   0.0   0.0   0.0 100.0

Total storage-manager allocations: 3647137 (11882004 words)
        [551104 words lost to speculative heap-checks]

STACK USAGE:

ENTERS: 9400092  of which 2005772 (21.3%) direct to the entry code
                  [the rest indirected via Node's info ptr]
1860318 ( 19.8%) thunks
3733184 ( 39.7%) data values
3149544 ( 33.5%) function values
                  [of which 1999880 (63.5%) bypassed arg-satisfaction chk]
 348140 (  3.7%) partial applications
 308906 (  3.3%) normal indirections
      0 (  0.0%) permanent indirections

RETURNS: 5870443
2137257 ( 36.4%) from entering a new constructor
                  [the rest from entering an existing constructor]
2349219 ( 40.0%) vectored [the rest unvectored]

RET_NEW:         2137257:  32.5% 46.2% 21.3%  0.0%  0.0%  0.0%  0.0%  0.0%  0.0%
RET_OLD:         3733184:   2.8% 67.9% 29.3%  0.0%  0.0%  0.0%  0.0%  0.0%  0.0%
RET_UNBOXED_TUP:       2:   0.0%  0.0%100.0%  0.0%  0.0%  0.0%  0.0%  0.0%  0.0%

RET_VEC_RETURN : 2349219:   0.0%  0.0%100.0%  0.0%  0.0%  0.0%  0.0%  0.0%  0.0%

UPDATE FRAMES: 2241725 (0 omitted from thunks)
SEQ FRAMES:    1
CATCH FRAMES:  1
UPDATES: 2241725
      0 (  0.0%) data values
  34827 (  1.6%) partial applications
                  [2 in place, 34825 allocated new space]
2206898 ( 98.4%) updates to existing heap objects (46 by squeezing)
UPD_CON_IN_NEW:         0:       0      0      0      0      0      0      0      0      0
UPD_PAP_IN_NEW:     34825:       0      0      0  34825      0      0      0      0      0

NEW GEN UPDATES: 2274700 ( 99.9%)

OLD GEN UPDATES: 1852 (  0.1%)

Total bytes copied during GC: 190096

**************************************************
3647137 ALLOC_HEAP_ctr
11882004 ALLOC_HEAP_tot
  69647 ALLOC_FUN_ctr
  69647 ALLOC_FUN_adm
  69644 ALLOC_FUN_gds
  34819 ALLOC_FUN_slp
  34831 ALLOC_FUN_hst_0
  34816 ALLOC_FUN_hst_1
      0 ALLOC_FUN_hst_2
      0 ALLOC_FUN_hst_3
      0 ALLOC_FUN_hst_4
2382937 ALLOC_UP_THK_ctr
      0 ALLOC_SE_THK_ctr
 308906 ENT_IND_ctr
      0 E!NT_PERM_IND_ctr requires +RTS -Z
[... lots more info omitted ...]
      0 GC_SEL_ABANDONED_ctr
      0 GC_SEL_MINOR_ctr
      0 GC_SEL_MAJOR_ctr
      0 GC_FAILED_PROMOTION_ctr
  47524 GC_WORDS_COPIED_ctr
</screen>

    <para>The formatting of the information above the row of asterisks
    is subject to change, but hopefully provides a useful
    human-readable summary.  Below the asterisks <emphasis>all
    counters</emphasis> maintained by the ticky-ticky system are
    dumped, in a format intended to be machine-readable: zero or more
    spaces, an integer, a space, the counter name, and a newline.</para>

    <para>In fact, not <emphasis>all</emphasis> counters are
    necessarily dumped; compile- or run-time flags can render certain
    counters invalid.  In this case, either the counter will simply
    not appear, or it will appear with a modified counter name,
    possibly along with an explanation for the omission (notice
    <literal>ENT&lowbar;PERM&lowbar;IND&lowbar;ctr</literal> appears
    with an inserted <literal>!</literal> above).  Software analysing
    this output should always check that it has the counters it
    expects.  Also, beware: some of the counters can have
    <emphasis>large</emphasis> values!</para>

  </sect1>

</chapter>

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