conjecture vs retrace

conjecture is a noun but retrace is not a noun.

Word	Noun	Adjective	Verb	Adverb
conjecture	Yes	No	Yes	No
retrace	No	No	Yes	No

As verbs, retrace is a hyponym of conjecture; that is, retrace is a word with a more specific, narrower meaning than conjecture:

Other hyponyms of conjecture include construct, reconstruct, develop, explicate, formulate.

conjecture (noun)	retrace (noun)
a hypothesis that has been formed by speculating or conjecturing (usually with little hard evidence)
reasoning that involves the formation of conclusions from incomplete evidence
a message expressing an opinion based on incomplete evidence

conjecture (verb)	retrace (verb)
to believe especially on uncertain or tentative grounds	reassemble mentally
	to go back over again