cut down vs minify

cut down and minify both are verbs.

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

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

Other hypernyms of cut down include decrease, lessen.

cut down (verb)	minify (verb)
cut down on; make a reduction in	make become smaller
intercept (a player)
cause to come or go down
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