climb up vs arise

climb up and arise both are verbs.

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

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

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

climb up (verb)	arise (verb)
rise in rank or status	get up and out of bed
go upward with gradual or continuous progress	result or issue
appear to be moving upward, as by means of tendrils	rise to one's feet
	move upward
	take part in a rebellion; renounce a former allegiance
	come into existence; take on form or shape
	originate or come into being