cut down vs retrench

cut down and retrench both are verbs.

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

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

cut down (verb)	retrench (verb)
cut down on; make a reduction in	make a reduction, as in one's workforce
intercept (a player)	tighten one's belt; use resources carefully
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