flake off vs break off

flake off and break off both are verbs.

Word	Noun	Adjective	Verb	Adverb
flake off	No	No	Yes	No
break off	No	No	Yes	No

As verbs, break off is a hypernym of flake off; that is, break off is a word with a broader meaning than flake off:

Other hypernyms of flake off include break away, chip, chip off, come off.

flake off (verb)	break off (verb)
come off in flakes or thin small pieces	prevent completion
	interrupt before its natural or planned end
	break a small piece off from
	break off (a piece from a whole)
	break a piece from a whole