tracing routine vs subroutine

tracing routine and subroutine both are nouns.

Word	Noun	Adjective	Verb	Adverb
tracing routine	Yes	No	No	No
subroutine	Yes	No	No	No

As nouns, subroutine is a hypernym of tracing routine; that is, subroutine is a word with a broader meaning than tracing routine:

tracing routine: a routine that provides a chronological record of the execution of a computer program
subroutine: a set sequence of steps, part of larger computer program

Other hypernyms of tracing routine include function, procedure, routine, subprogram.

tracing routine (noun)	subroutine (noun)
a routine that provides a chronological record of the execution of a computer program	a set sequence of steps, part of larger computer program