chop down vs cut down

chop down and cut down both are verbs.

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

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

Other hypernyms of chop down include drop, fell, strike down.

chop down (verb)	cut down (verb)
cut down	cut down on; make a reduction in
	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