brainstorm vs cerebrate

brainstorm is a noun but cerebrate is not a noun.

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

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

brainstorm: try to solve a problem by thinking intensely about it
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 brainstorm include cogitate, think.

brainstorm (noun)	cerebrate (noun)
the clear (and often sudden) understanding of a complex situation

brainstorm (verb)	cerebrate (verb)
try to solve a problem by thinking intensely about it	use or exercise the mind or one's power of reason in order to make inferences, decisions, or arrive at a solution or judgments