As far as the map goes, think WinDirStat. Only ideally it would show time instead of file size, namespace and class instead of directory, and method instead of file.
Here’s what I have been reading.
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Certain editions of Visual Studio includes a sampling profiler:
The Sample Profiling Report includes many views, some similar to the map you describe.
I have use many profilers, and while this profiler is not the fanciest profiler in the world, it does produce trustworthy results, and this makes it invaluable.