bring down vs cut down

bring down and cut down both are verbs.

Word	Noun	Adjective	Verb	Adverb
bring down	No	No	Yes	No
cut down	No	No	Yes	No

As verbs, bring down and cut down are synonyms defined as:

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

bring down (verb)	cut down (verb)
cut down on; make a reduction in	cut down on; make a reduction in
impose something unpleasant	intercept (a player)
cause to be enthusiastic	cause to come or go down
cause to come to the ground	cut with a blade or mower
move something or somebody to a lower position	cause to fall by or as if by delivering a blow
cause the downfall of; of rulers	cut with sweeping strokes; as with an ax or machete