rise vs move up

rise is a noun but move up is not a noun.

Word	Noun	Adjective	Verb	Adverb
rise	Yes	No	Yes	No
move up	No	No	Yes	No

As verbs, rise and move up are synonyms defined as:

Other synonyms of rise include arise, come up, go up, lift, uprise.

As verbs, rise and move up are synonyms defined as:

Other synonyms of rise include ascend.

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

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

rise (noun)	move up (noun)
the act of changing location in an upward direction
increase in price or value
the property possessed by a slope or surface that rises
the amount a salary is increased
an increase in cost
a growth in strength or number or importance
a wave that lifts the surface of the water or ground
a movement upward; rise above the ground
(theology) the origination of the Holy Spirit at Pentecost
an upward slope or grade (as in a road)

rise (verb)	move up (verb)
return from the dead	move upward
get up and out of bed	move to a better position in life or to a better job
increase in value or to a higher point
become more extreme
go up or advance
rise in rank or status
exert oneself to meet a challenge
become heartened or elated
move upward
increase in volume
come to the surface
rise to one's feet
move to a better position in life or to a better job
come up, of celestial bodies
take part in a rebellion; renounce a former allegiance
rise up
come into existence; take on form or shape