invent vs cook up

invent and cook up both are verbs.

Word	Noun	Adjective	Verb	Adverb
invent	No	No	Yes	No
cook up	No	No	Yes	No

As verbs, invent and cook up are synonyms defined as:

Other synonyms of invent include fabricate, make up, manufacture.

invent (verb)	cook up (verb)
come up with (an idea, plan, explanation, theory, or principle) after a mental effort	concoct something artificial or untrue
concoct something artificial or untrue	prepare or cook by mixing ingredients