climb up vs go up

climb up and go up both are verbs.

Word	Noun	Adjective	Verb	Adverb
climb up	No	No	Yes	No
go up	No	No	Yes	No

As verbs, climb up and go up are synonyms defined as:

Other synonyms of climb up include climb, mount.

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

Other hypernyms of climb up include arise, come up, lift, move up, rise, uprise.

climb up (verb)	go up (verb)
rise in rank or status	increase in value or to a higher point
go upward with gradual or continuous progress	burn completely; be consumed or destroyed by fire
appear to be moving upward, as by means of tendrils	move upward
	go upward with gradual or continuous progress
	be erected, built, or constructed
	move towards
	travel up