cut back vs minify

cut back and minify both are verbs.

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

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

Other hypernyms of cut back include decrease, lessen.

cut back (verb)	minify (verb)
place restrictions on	make become smaller
cut down on; make a reduction in
cultivate, tend, and cut back the growth of
return in time