mull over vs theologize

mull over and theologize both are verbs.

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

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

mull over: reflect deeply on a subject
theologize: make theoretical speculations about theology or discuss theological subjects

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

mull over (verb)	theologize (verb)
reflect deeply on a subject	make theoretical speculations about theology or discuss theological subjects
	treat from a theological viewpoint or render theological in character