feat(Profiler): add a profiling module #3821

Job	Run time
Build	1m 44s
Build	1m 44s
Smoke test	6m 36s
Smoke test	6m 36s
Check format	1m 14s
Check format	1m 14s
Extended testing (ubuntu-22.04)	18m 26s
Extended testing (ubuntu-22.04)	18m 26s
Test GNU fortran (macos-13, false)	34m 38s
Test GNU fortran (macos-13, false)	34m 38s
Extended testing (macos-13)	43m 21s
Extended testing (macos-13)	43m 21s
Test Intel fortran (ubuntu-22.04)	39m 21s
Test Intel fortran (ubuntu-22.04)	39m 21s
Test GNU fortran (macos-14, false)	32m 4s
Test GNU fortran (macos-14, false)	32m 4s
Extended testing (windows-2022)	45m 17s
Extended testing (windows-2022)	45m 17s
Test Intel fortran (macos-13)	32m 47s
Test Intel fortran (macos-13)	32m 47s
Test GNU fortran (macos-14, true)	1h 3m 2s
Test GNU fortran (macos-14, true)	1h 3m 2s
Test Intel fortran (windows-2022)	33m 33s
Test Intel fortran (windows-2022)	33m 33s
Test GNU fortran (ubuntu-22.04, false)	38m 31s
Test GNU fortran (ubuntu-22.04, false)	38m 31s
Test GNU fortran (ubuntu-22.04, true)	1h 32m 34s
Test GNU fortran (ubuntu-22.04, true)	1h 32m 34s
Test GNU fortran (windows-2022, true)	8m 33s
Test GNU fortran (windows-2022, true)	45m 6s
	16h 59m 55s

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