come up vs rise

come up is not a noun while rise is a noun.

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

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

Other synonyms of come up include ascend, uprise.

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

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

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

Other synonyms of come up include rise up, surface.

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

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

As verbs, rise is a hyponym of come up; that is, rise is a word with a more specific, narrower meaning than come up:

come up (noun)	rise (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)

come up (verb)	rise (verb)
result or issue	return from the dead
start running, functioning, or operating	get up and out of bed
gather or bring together	increase in value or to a higher point
gather (money or other resources) together over time	become more extreme
bring forth, usually something desirable	go up or advance
come up, of celestial bodies	rise in rank or status
come to the surface	exert oneself to meet a challenge
move toward, travel toward something or somebody or approach something or somebody	become heartened or elated
move upward	move upward
get something or somebody for a specific purpose	increase in volume
originate or come into being	come to the surface
be mentioned	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