come up vs rise up

come up and rise up both are verbs.

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

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

Other synonyms of come up include rise, surface.

come up (verb)	rise up (verb)
result or issue	come to the surface
start running, functioning, or operating	stand up on the hind legs, of quadrupeds
gather or bring together	take part in a rebellion; renounce a former allegiance
gather (money or other resources) together over time
bring forth, usually something desirable
come up, of celestial bodies
come to the surface
move toward, travel toward something or somebody or approach something or somebody
move upward
get something or somebody for a specific purpose
originate or come into being
be mentioned