climb vs shape up

climb is a noun but shape up is not a noun.

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

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

Other hypernyms of climb include advance, come along, come on, get along, get on, progress.

climb (noun)	shape up (noun)
the act of climbing something
an event that involves rising to a higher point (as in altitude or temperature or intensity etc.)
an upward slope or grade (as in a road)

climb (verb)	shape up (verb)
go up or advance	develop in a positive way
increase in value or to a higher point
improve one's social status
go upward with gradual or continuous progress
move with effort, by grasping
slope upward