cut back vs trim down

cut back and trim down both are verbs.

Word	Noun	Adjective	Verb	Adverb
cut back	No	No	Yes	No
trim down	No	No	Yes	No

As verbs, cut back and trim down are synonyms defined as:

Other synonyms of cut back include bring down, cut, cut down, reduce, trim, trim back.

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