cut down vs bring down

cut down and bring down both are verbs.

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

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

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

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