branch out vs vary

branch out and vary both are verbs.

Word	Noun	Adjective	Verb	Adverb
branch out	No	No	Yes	No
vary	No	No	Yes	No

As verbs, vary is a hypernym of branch out; that is, vary is a word with a broader meaning than branch out:

branch out: vary in order to spread risk or to expand
vary: become different in some particular way, without permanently losing one's or its former characteristics or essence

Other hypernyms of branch out include alter, change.

branch out (verb)	vary (verb)
vary in order to spread risk or to expand	become different in some particular way, without permanently losing one's or its former characteristics or essence
	make something more diverse and varied
	be at variance with; be out of line with
	be subject to change in accordance with a variable