feat(Profiler): add a profiling module #3826

Job	Run time
Check format	1m 13s
Check format	1m 13s
Smoke test	6m 15s
Smoke test	6m 15s
Build	1m 41s
Build	1m 41s
Extended testing (ubuntu-22.04)	19m 12s
Extended testing (ubuntu-22.04)	19m 12s
Test GNU fortran (macos-13, false)	41m 20s
Test GNU fortran (macos-13, false)	41m 20s
Test Intel fortran (ubuntu-22.04)	39m 50s
Test Intel fortran (ubuntu-22.04)	39m 50s
Extended testing (macos-13)	54m 33s
Extended testing (macos-13)	50m 4s
Test GNU fortran (macos-14, false)	34m 55s
Test GNU fortran (macos-14, false)	34m 55s
Test Intel fortran (macos-13)	35m 49s
Test Intel fortran (macos-13)	35m 49s
Extended testing (windows-2022)	52m 8s
Extended testing (windows-2022)	52m 8s
Test GNU fortran (macos-14, true)	1h 1m 16s
Test GNU fortran (macos-14, true)	1h 1m 16s
Test Intel fortran (windows-2022)	33m 46s
Test Intel fortran (windows-2022)	33m 46s
Test GNU fortran (ubuntu-22.04, false)	37m 59s
Test GNU fortran (ubuntu-22.04, false)	37m 59s
Test GNU fortran (ubuntu-22.04, true)	1h 33m 59s
Test GNU fortran (ubuntu-22.04, true)	1h 33m 59s
Test GNU fortran (windows-2022, false)	50m 16s
Test GNU fortran (windows-2022, false)	50m 16s
	18h 43m 55s

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