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-rw-r--r--manual/probes.texi98
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diff --git a/manual/probes.texi b/manual/probes.texi
index 1a45c69b91..5492bb79ff 100644
--- a/manual/probes.texi
+++ b/manual/probes.texi
@@ -16,6 +16,7 @@ arguments.
 
 @menu
 * Memory Allocation Probes::  Probes in the memory allocation subsystem
+* Mathematical Function Probes::  Probes in mathematical functions
 @end menu
 
 @node Memory Allocation Probes
@@ -255,3 +256,100 @@ This probe is triggered when function @code{free} decides to adjust the
 dynamic brk/mmap thresholds.  Argument @var{$arg1} and @var{$arg2} are
 the adjusted mmap and trim thresholds, respectively.
 @end deftp
+
+@node Mathematical Function Probes
+@section Mathematical Function Probes
+
+Some mathematical functions fall back to multiple precision arithmetic for
+some inputs to get last bit precision for their return values.  This multiple
+precision fallback is much slower than the default algorithms and may have a
+significant impact on application performance.  The systemtap probe markers
+described in this section may help you determine if your application calls
+mathematical functions with inputs that may result in multiple-precision
+arithmetic.
+
+Unless explicitly mentioned otherwise, a precision of 1 implies 24 bits of
+precision in the mantissa of the multiple precision number.  Hence, a precision
+level of 32 implies 768 bits of precision in the mantissa.
+
+@deftp Probe slowexp_p6 (double @var{$arg1}, double @var{$arg2})
+This probe is hit when the @code{exp} function is called with an input that
+results in multiple precision computation with precision 6. Argument
+@var{$arg1} is the input value and @var{$arg2} is the computed output.
+@end deftp
+
+@deftp Probe slowexp_p32 (double @var{$arg1}, double @var{$arg2})
+This probe is hit when the @code{exp} function is called with an input that
+results in multiple precision computation with precision 32. Argument
+@var{$arg1} is the input value and @var{$arg2} is the computed output.
+@end deftp
+
+@deftp Probe slowpow_p10 (double @var{$arg1}, double @var{$arg2}, double @var{$arg3}, double @var{$arg4})
+This probe is hit when the @code{pow} function is called with inputs that
+result in multiple precision computation with precision 10. Arguments
+@var{$arg1} and @var{$arg2} are the input values, @code{$arg3} is the value
+computed in the fast phase of the algorithm and @code{$arg4} is the final
+accurate value.
+@end deftp
+
+@deftp Probe slowpow_p32 (double @var{$arg1}, double @var{$arg2}, double @var{$arg3}, double @var{$arg4})
+This probe is hit when the @code{pow} function is called with an input that
+results in multiple precision computation with precision 32. Arguments
+@var{$arg1} and @var{$arg2} are the input values, @code{$arg3} is the value
+computed in the fast phase of the algorithm and @code{$arg4} is the final
+accurate value.
+@end deftp
+
+@deftp Probe slowlog (int @var{$arg1}, double @var{$arg2}, double @var{$arg3})
+This probe is hit when the @code{log} function is called with an input that
+results in multiple precision computation.  Argument @var{$arg1} is the
+precision with which the computation succeeded.  Argument @var{$arg2} is the
+input and @var{$arg3} is the computed output.
+@end deftp
+
+@deftp Probe slowlog_inexact (int @var{$arg1}, double @var{$arg2}, double @var{$arg3})
+This probe is hit when the @code{log} function is called with an input that
+results in multiple precision computation and none of the multiple precision
+computations result in an accurate result.  Argument @var{$arg1} is the maximum
+precision  with which computations were performed.  Argument @var{$arg2} is the
+input and @var{$arg3} is the computed output.
+@end deftp
+
+@deftp Probe slowatan2 (int @var{$arg1}, double @var{$arg2}, double @var{$arg3}, double @var{$arg4})
+This probe is hit when the @code{atan2} function is called with an input that
+results in multiple precision computation.  Argument @var{$arg1} is the
+precision with which computation succeeded.  Arguments @var{$arg2} and
+@var{$arg3} are inputs to the @code{atan2} function and @var{$arg4} is the
+computed result.
+@end deftp
+
+@deftp Probe slowatan2_inexact (int @var{$arg1}, double @var{$arg2}, double @var{$arg3}, double @var{$arg4})
+This probe is hit when the @code{atan} function is called with an input that
+results in multiple precision computation and none of the multiple precision
+computations result in an accurate result.  Argument @var{$arg1} is the maximum
+precision  with which computations were performed.  Arguments @var{$arg2} and
+@var{$arg3} are inputs to the @code{atan2} function and @var{$arg4} is the
+computed result.
+@end deftp
+
+@deftp Probe slowatan (int @var{$arg1}, double @var{$arg2}, double @var{$arg3})
+This probe is hit when the @code{atan} function is called with an input that
+results in multiple precision computation.  Argument @var{$arg1} is the
+precision with which computation succeeded.  Argument @var{$arg2} is the
+input to the @code{atan} function and @var{$arg3} is the computed result.
+@end deftp
+
+@deftp Probe slowatan_inexact (int @var{$arg1}, double @var{$arg2}, double @var{$arg3})
+This probe is hit when the @code{atan} function is called with an input that
+results in multiple precision computation and none of the multiple precision
+computations result in an accurate result.  Argument @var{$arg1} is the maximum
+precision  with which computations were performed.  Argument @var{$arg2} is the
+input to the @code{atan} function and @var{$arg3} is the computed result.
+@end deftp
+
+@deftp Probe slowtan (double @var{$arg1}, double @var{$arg2})
+This probe is hit when the @code{tan} function is called with an input that
+results in multiple precision computation with precision 32.  Argument
+@var{$arg1} is the input to the function and @var{$arg2} is the computed
+result.
+@end deftp