muse vs cerebrate

muse is a noun but cerebrate is not a noun.

Word	Noun	Adjective	Verb	Adverb
muse	Yes	No	Yes	No
cerebrate	No	No	Yes	No

As verbs, cerebrate is a hypernym of muse; that is, cerebrate is a word with a broader meaning than muse:

muse: reflect deeply on a subject
cerebrate: use or exercise the mind or one's power of reason in order to make inferences, decisions, or arrive at a solution or judgments

Other hypernyms of muse include cogitate, think.

muse (noun)	cerebrate (noun)
the source of an artist's inspiration

muse (verb)	cerebrate (verb)
reflect deeply on a subject	use or exercise the mind or one's power of reason in order to make inferences, decisions, or arrive at a solution or judgments