go off vs fall out

go off and fall out both are verbs.

Word	Noun	Adjective	Verb	Adverb
go off	No	No	Yes	No
fall out	No	No	Yes	No

As verbs, fall out is a hypernym of go off; that is, fall out is a word with a broader meaning than go off:

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

go off (verb)	fall out (verb)
be discharged or activated	come to pass
happen in a particular manner	have a breach in relations
burst inward	drop out
go off or discharge	leave (a barracks) in order to take a place in a military formation, or leave a military formation
stop running, functioning, or operating	come as a logical consequence; follow logically
run away; usually includes taking something or somebody along