spring up vs come forth

spring up and come forth both are verbs.

Word	Noun	Adjective	Verb	Adverb
spring up	No	No	Yes	No
come forth	No	No	Yes	No

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

Other hyponyms of spring up include resurge, emerge, come, follow, swell, well up, head.

spring up (verb)	come forth (verb)
come into existence; take on form or shape	come out of
	happen or occur as a result of something