wise up vs discover

wise up and discover both are verbs.

Word	Noun	Adjective	Verb	Adverb
wise up	No	No	Yes	No
discover	No	No	Yes	No

As verbs, discover is a hypernym of wise up; that is, discover is a word with a broader meaning than wise up:

Other hypernyms of wise up include find out, get a line, get wind, get word, hear, learn, pick up, see.

wise up (verb)	discover (verb)
get wise to	get to know or become aware of, usually accidentally
cause someone to become aware of something	identify as in botany or biology, for example
	make known to the public information that was previously known only to a few people or that was meant to be kept a secret
	make a discovery, make a new finding
	see for the first time; make a discovery
	discover or determine the existence, presence, or fact of by perception with the eyes
	find unexpectedly