mull over vs consider

mull over and consider both are verbs.

Word	Noun	Adjective	Verb	Adverb
mull over	No	No	Yes	No
consider	No	No	Yes	No

As verbs, consider is a hyponym of mull over; that is, consider is a word with a more specific, narrower meaning than mull over:

Other hyponyms of mull over include premeditate, theologise, theologize, introspect, bethink, cogitate, question, wonder, puzzle, study.

mull over (verb)	consider (verb)
reflect deeply on a subject	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