come up vs soar up

come up and soar up both are verbs.

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

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

come up (verb)	soar up (verb)
result or issue	rise rapidly
start running, functioning, or operating
gather or bring together
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