come up vs occur

come up and occur both are verbs.

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

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

Other hypernyms of come up include come about, fall out, go on, hap, happen, pass, pass off, take place.

come up (verb)	occur (verb)
result or issue	come to pass
start running, functioning, or operating	come to one's mind; suggest itself
gather or bring together	to be found to exist
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