rethink vs consider

rethink is a noun but consider is not a noun.

Word	Noun	Adjective	Verb	Adverb
rethink	Yes	No	Yes	No
consider	No	No	Yes	No

As verbs, consider is a hypernym of rethink; that is, consider is a word with a broader meaning than rethink:

Other hypernyms of rethink include believe, conceive, think.

rethink (noun)	consider (noun)
thinking again about a choice previously made

rethink (verb)	consider (verb)
change one's mind	deem to be
	take into consideration for exemplifying purposes
	regard or treat with consideration, respect, and esteem
	judge or regard; look upon; judge
	show consideration for; take into account
	think about carefully; weigh
	give careful consideration to
	look at attentively
	look at carefully; study mentally