think out vs plan

think out is not a noun while plan is a noun.

Word	Noun	Adjective	Verb	Adverb
think out	No	No	Yes	No
plan	Yes	No	Yes	No

As verbs, plan is a hypernym of think out; that is, plan is a word with a broader meaning than think out:

Other hypernyms of think out include be after.

think out (noun)	plan (noun)
	scale drawing of a structure
	a series of steps to be carried out or goals to be accomplished
	an arrangement scheme

think out (verb)	plan (verb)
consider carefully and rationally	make plans for something
	have the will and intention to carry out some action
	make or work out a plan for; devise