vomit vs egest

vomit is a noun but egest is not a noun.

Word	Noun	Adjective	Verb	Adverb
vomit	Yes	No	Yes	No
egest	No	No	Yes	No

As verbs, egest is a hypernym of vomit; that is, egest is a word with a broader meaning than vomit:

Other hypernyms of vomit include eliminate, excrete, pass.

vomit (noun)	egest (noun)
the reflex act of ejecting the contents of the stomach through the mouth
a medicine that induces nausea and vomiting
the matter ejected in vomiting

vomit (verb)	egest (verb)
eject the contents of the stomach through the mouth	eliminate from the body