cut down vs reduce

cut down and reduce both are verbs.

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

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

Other synonyms of cut down include bring down, cut, cut back, trim, trim back, trim down.

cut down (verb)	reduce (verb)
cut down on; make a reduction in	take off weight
intercept (a player)	cut down on; make a reduction in
cause to come or go down	narrow or limit
cut with a blade or mower	cook until very little liquid is left
cause to fall by or as if by delivering a blow	to remove oxygen from a compound, or cause to react with hydrogen or form a hydride, or to undergo an increase in the number of electrons
cut with sweeping strokes; as with an ax or machete	make smaller
	reduce in size; reduce physically
	make less complex
	reduce in scope while retaining essential elements
	lessen the strength or flavor of a solution or mixture
	be cooked until very little liquid is left
	be the essential element
	destress and thus weaken a sound when pronouncing it
	undergo meiosis
	reposition (a broken bone after surgery) back to its normal site
	lower in grade or rank or force somebody into an undignified situation
	lessen and make more modest
	simplify the form of a mathematical equation of expression by substituting one term for another
	bring to humbler or weaker state or condition
	put down by force or intimidation