egress vs come out

egress is a noun but come out is not a noun.

Word	Noun	Adjective	Verb	Adverb
egress	Yes	No	Yes	No
come out	No	No	Yes	No

As verbs, egress and come out are synonyms defined as:

Other synonyms of egress include come forth, emerge, go forth, issue.

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

Other hyponyms of egress include pop out, radiate, leak, escape, fall, debouch, fall out.

egress (noun)	come out (noun)
the act of coming (or going) out; becoming apparent
(astronomy) the reappearance of a celestial body after an eclipse
the becoming visible

egress (verb)	come out (verb)
come out of	appear or become visible; make a showing
	be issued or published
	break out
	come out of
	take a place in a competition; often followed by an ordinal
	be made known; be disclosed or revealed
	to state openly and publicly one's homosexuality
	bulge outward
	make oneself visible; take action
	drop out
	result or end