cut down vs downsize

cut down and downsize both are verbs.

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

As verbs, downsize is a hyponym of cut down; that is, downsize is a word with a more specific, narrower meaning than cut down:

cut down (verb)	downsize (verb)
cut down on; make a reduction in	(of a company) reduce in size or number of employees
intercept (a player)	design or manufacture in a smaller size
cause to come or go down	dismiss from work
cut with a blade or mower
cause to fall by or as if by delivering a blow
cut with sweeping strokes; as with an ax or machete