tracing routine vs subprogram

tracing routine and subprogram both are nouns.

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

As nouns, subprogram is a hypernym of tracing routine; that is, subprogram 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
subprogram: a set sequence of steps, part of larger computer program

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

tracing routine (noun)	subprogram (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