Since your real goal is to optimize the program, let me suggest another way to think about it.
The main thing to measure is overall time, not cycles or times of the various routines.
Now, here's how to do optimization. Don't base it on any measurements. Rather, get a number of samples of the program's state and (this is the key point) study each sample closely enough, with your own eyes and brain, and understand what the program is doing in that state, and the full reason why it is doing it.
(You will see anything worth fixing that statistics could reveal, plus things they could not reveal, and that makes all the difference.)
As soon as you catch it in the act of doing, on two or more samples, something that could be removed, fixing it will give you a substantial speedup.
Here is an explanation of why it works and how much speedup you can expect.
After you do that, you can do the overall time measurement again and see how much time you saved.
Then don't stop. Do it again. You'll find something else to fix, which is now a bigger percent because of the first problem you removed.
In my experience, with real software, this can be done as many as 5 or 6 times, after which the program can be orders of magnitude faster than it was originally. The reason is because each optimization removes a fraction of the original execution time, and those fractions can accumulate up to nearly 100%. I'm not aware of any such result achieved with Oprofile or any other profiler tool.