hatch vs cook up

hatch is a noun but cook up is not a noun.

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

As verbs, cook up is a hyponym of hatch; that is, cook up is a word with a more specific, narrower meaning than hatch:

Other hyponyms of hatch include idealise, idealize, fabricate, invent, make up, manufacture.

hatch (noun)	cook up (noun)
a movable barrier covering a hatchway
a sloping rear car door that is lifted to open
shading consisting of multiple crossing lines
the production of young from an egg

hatch (verb)	cook up (verb)
sit on (eggs)	concoct something artificial or untrue
emerge from the eggs	prepare or cook by mixing ingredients
draw, cut, or engrave lines, usually parallel, on metal, wood, or paper
devise or invent
inlay with narrow strips or lines of a different substance such as gold or silver, for the purpose of decorating