cook up vs invent

cook up and invent both are verbs.

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

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

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

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