detract vs cut back

detract and cut back both are verbs.

Word	Noun	Adjective	Verb	Adverb
detract	No	No	Yes	No
cut back	No	No	Yes	No

As verbs, cut back is a hypernym of detract; that is, cut back is a word with a broader meaning than detract:

Other hypernyms of detract include bring down, cut, cut down, reduce, trim, trim back, trim down.

detract (verb)	cut back (verb)
take away a part from; diminish	place restrictions on
	cut down on; make a reduction in
	cultivate, tend, and cut back the growth of
	return in time