The call graph shows how much time was spent in each function and its children. From this information, you can find functions that, while they themselves may not have used much time, called other functions that did use unusual amounts of time.
Here is a sample call from a small program. This call came from the
same gprof run as the flat profile example in the previous
chapter.
granularity: each sample hit covers 2 byte(s) for 20.00% of 0.05 seconds
index % time self children called name
<spontaneous>
[1] 100.0 0.00 0.05 start [1]
0.00 0.05 1/1 main [2]
0.00 0.00 1/2 on_exit [28]
0.00 0.00 1/1 exit [59]
-----------------------------------------------
0.00 0.05 1/1 start [1]
[2] 100.0 0.00 0.05 1 main [2]
0.00 0.05 1/1 report [3]
-----------------------------------------------
0.00 0.05 1/1 main [2]
[3] 100.0 0.00 0.05 1 report [3]
0.00 0.03 8/8 timelocal [6]
0.00 0.01 1/1 print [9]
0.00 0.01 9/9 fgets [12]
0.00 0.00 12/34 strncmp <cycle 1> [40]
0.00 0.00 8/8 lookup [20]
0.00 0.00 1/1 fopen [21]
0.00 0.00 8/8 chewtime [24]
0.00 0.00 8/16 skipspace [44]
-----------------------------------------------
[4] 59.8 0.01 0.02 8+472 <cycle 2 as a whole> [4]
0.01 0.02 244+260 offtime <cycle 2> [7]
0.00 0.00 236+1 tzset <cycle 2> [26]
-----------------------------------------------
The lines full of dashes divide this table into entries, one for each function. Each entry has one or more lines.
In each entry, the primary line is the one that starts with an index number in square brackets. The end of this line says which function the entry is for. The preceding lines in the entry describe the callers of this function and the following lines describe its subroutines (also called children when we speak of the call graph).
The entries are sorted by time spent in the function and its subroutines.
The internal profiling function mcount (see section How to Understand the Flat Profile)
is never mentioned in the call graph.
a calls b calls a...
The primary line in a call graph entry is the line that describes the function which the entry is about and gives the overall statistics for this function.
For reference, we repeat the primary line from the entry for function
report in our main example, together with the heading line that
shows the names of the fields:
index % time self children called name ... [3] 100.0 0.00 0.05 1 report [3]
Here is what the fields in the primary line mean:
index
% time
self
seconds field
for this function in the flat profile.
children
self
and children entries of the children listed directly below this
function.
called
report was called once from
main.
name
gnurr is part of
cycle number one, and has index number twelve, its primary line would
be end like this:
gnurr <cycle 1> [12]
A function's entry has a line for each function it was called by. These lines' fields correspond to the fields of the primary line, but their meanings are different because of the difference in context.
For reference, we repeat two lines from the entry for the function
report, the primary line and one caller-line preceding it, together
with the heading line that shows the names of the fields:
index % time self children called name
...
0.00 0.05 1/1 main [2]
[3] 100.0 0.00 0.05 1 report [3]
Here are the meanings of the fields in the caller-line for report
called from main:
self
report itself when it was
called from main.
children
report
when report was called from main.
The sum of the self and children fields is an estimate
of the amount of time spent within calls to report from main.
called
report was called from main,
followed by the total number of nonrecursive calls to report from
all its callers.
name and index number
report to which this line applies,
followed by the caller's index number.
Not all functions have entries in the call graph; some
options to gprof request the omission of certain functions.
When a caller has no entry of its own, it still has caller-lines
in the entries of the functions it calls.
If the caller is part of a recursion cycle, the cycle number is
printed between the name and the index number.
If the identity of the callers of a function cannot be determined, a dummy caller-line is printed which has `<spontaneous>' as the "caller's name" and all other fields blank. This can happen for signal handlers.
A function's entry has a line for each of its subroutines--in other words, a line for each other function that it called. These lines' fields correspond to the fields of the primary line, but their meanings are different because of the difference in context.
For reference, we repeat two lines from the entry for the function
main, the primary line and a line for a subroutine, together
with the heading line that shows the names of the fields:
index % time self children called name
...
[2] 100.0 0.00 0.05 1 main [2]
0.00 0.05 1/1 report [3]
Here are the meanings of the fields in the subroutine-line for main
calling report:
self
report
when report was called from main.
children
report
when report was called from main.
The sum of the self and children fields is an estimate
of the total time spent in calls to report from main.
called
report from main
followed by the total number of nonrecursive calls to report.
name
main to which this line applies,
followed by the subroutine's index number.
If the caller is part of a recursion cycle, the cycle number is
printed between the name and the index number.
The graph may be complicated by the presence of cycles of
recursion in the call graph. A cycle exists if a function calls
another function that (directly or indirectly) calls (or appears to
call) the original function. For example: if a calls b,
and b calls a, then a and b form a cycle.
Whenever there are call-paths both ways between a pair of functions, they
belong to the same cycle. If a and b call each other and
b and c call each other, all three make one cycle. Note that
even if b only calls a if it was not called from a,
gprof cannot determine this, so a and b are still
considered a cycle.
The cycles are numbered with consecutive integers. When a function belongs to a cycle, each time the function name appears in the call graph it is followed by `<cycle number>'.
The reason cycles matter is that they make the time values in the call
graph paradoxical. The "time spent in children" of a should
include the time spent in its subroutine b and in b's
subroutines--but one of b's subroutines is a! How much of
a's time should be included in the children of a, when
a is indirectly recursive?
The way gprof resolves this paradox is by creating a single entry
for the cycle as a whole. The primary line of this entry describes the
total time spent directly in the functions of the cycle. The
"subroutines" of the cycle are the individual functions of the cycle, and
all other functions that were called directly by them. The "callers" of
the cycle are the functions, outside the cycle, that called functions in
the cycle.
Here is an example portion of a call graph which shows a cycle containing
functions a and b. The cycle was entered by a call to
a from main; both a and b called c.
index % time self children called name
----------------------------------------
1.77 0 1/1 main [2]
[3] 91.71 1.77 0 1+5 <cycle 1 as a whole> [3]
1.02 0 3 b <cycle 1> [4]
0.75 0 2 a <cycle 1> [5]
----------------------------------------
3 a <cycle 1> [5]
[4] 52.85 1.02 0 0 b <cycle 1> [4]
2 a <cycle 1> [5]
0 0 3/6 c [6]
----------------------------------------
1.77 0 1/1 main [2]
2 b <cycle 1> [4]
[5] 38.86 0.75 0 1 a <cycle 1> [5]
3 b <cycle 1> [4]
0 0 3/6 c [6]
----------------------------------------
(The entire call graph for this program contains in addition an entry for
main, which calls a, and an entry for c, with callers
a and b.)
index % time self children called name
<spontaneous>
[1] 100.00 0 1.93 0 start [1]
0.16 1.77 1/1 main [2]
----------------------------------------
0.16 1.77 1/1 start [1]
[2] 100.00 0.16 1.77 1 main [2]
1.77 0 1/1 a <cycle 1> [5]
----------------------------------------
1.77 0 1/1 main [2]
[3] 91.71 1.77 0 1+5 <cycle 1 as a whole> [3]
1.02 0 3 b <cycle 1> [4]
0.75 0 2 a <cycle 1> [5]
0 0 6/6 c [6]
----------------------------------------
3 a <cycle 1> [5]
[4] 52.85 1.02 0 0 b <cycle 1> [4]
2 a <cycle 1> [5]
0 0 3/6 c [6]
----------------------------------------
1.77 0 1/1 main [2]
2 b <cycle 1> [4]
[5] 38.86 0.75 0 1 a <cycle 1> [5]
3 b <cycle 1> [4]
0 0 3/6 c [6]
----------------------------------------
0 0 3/6 b <cycle 1> [4]
0 0 3/6 a <cycle 1> [5]
[6] 0.00 0 0 6 c [6]
----------------------------------------
The self field of the cycle's primary line is the total time
spent in all the functions of the cycle. It equals the sum of the
self fields for the individual functions in the cycle, found
in the entry in the subroutine lines for these functions.
The children fields of the cycle's primary line and subroutine lines
count only subroutines outside the cycle. Even though a calls
b, the time spent in those calls to b is not counted in
a's children time. Thus, we do not encounter the problem of
what to do when the time in those calls to b includes indirect
recursive calls back to a.
The children field of a caller-line in the cycle's entry estimates
the amount of time spent in the whole cycle, and its other
subroutines, on the times when that caller called a function in the cycle.
The calls field in the primary line for the cycle has two numbers:
first, the number of times functions in the cycle were called by functions
outside the cycle; second, the number of times they were called by
functions in the cycle (including times when a function in the cycle calls
itself). This is a generalization of the usual split into nonrecursive and
recursive calls.
The calls field of a subroutine-line for a cycle member in the
cycle's entry says how many time that function was called from functions in
the cycle. The total of all these is the second number in the primary line's
calls field.
In the individual entry for a function in a cycle, the other functions in
the same cycle can appear as subroutines and as callers. These lines show
how many times each function in the cycle called or was called from each other
function in the cycle. The self and children fields in these
lines are blank because of the difficulty of defining meanings for them
when recursion is going on.