excogitate vs cerebrate

excogitate and cerebrate both are verbs.

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

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

excogitate: 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 excogitate include cogitate, think.

excogitate (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
come up with (an idea, plan, explanation, theory, or principle) after a mental effort