chase after vs go after

chase after and go after both are verbs.

Word	Noun	Adjective	Verb	Adverb
chase after	No	No	Yes	No
go after	No	No	Yes	No

As verbs, chase after and go after are synonyms defined as:

Other synonyms of chase after include chase, dog, give chase, tag, tail, track, trail.

chase after (verb)	go after (verb)
go after with the intent to catch	go in search of or hunt for
pursue someone sexually or romantically	go after with the intent to catch