cook up vs cookery

cook up is not a noun while cookery is a noun.

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

cook up (noun)	cookery (noun)
	the act of preparing something (as food) by the application of heat

cook up (verb)	cookery (verb)
concoct something artificial or untrue
prepare or cook by mixing ingredients