interpolate vs work out

interpolate and work out both are verbs.

Word	Noun	Adjective	Verb	Adverb
interpolate	No	No	Yes	No
work out	No	No	Yes	No

As verbs, work out is a hypernym of interpolate; that is, work out is a word with a broader meaning than interpolate:

Other hypernyms of interpolate include calculate, cipher, compute, cypher, figure, reckon.

interpolate (verb)	work out (verb)
insert words into texts, often falsifying it thereby	do physical exercise
estimate the value of something based on known values	give a workout to
	come up with
	work out in detail
	find the solution to (a problem or question) or understand the meaning of
	make a mathematical calculation or computation
	be calculated
	happen in a certain way, leading to, producing, or resulting in a certain outcome, often well