cut down vs cut out

cut down is not an adjective while cut out is an adjective.

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

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

cut down (adjective)	cut out (adjective)
	having been cut out

cut down (verb)	cut out (verb)
cut down on; make a reduction in	delete or remove
intercept (a player)	cease operating
cause to come or go down	intercept (a player)
cut with a blade or mower	strike or cancel by or as if by rubbing or crossing out
cause to fall by or as if by delivering a blow	form and create by cutting out
cut with sweeping strokes; as with an ax or machete	cut off and stop