exact vs rigorous

exact and rigorous both are adjectives.

Word	Noun	Adjective	Verb	Adverb
exact	No	Yes	Yes	No
rigorous	No	Yes	No	No

exact (adjective)	rigorous (adjective)
marked by strict and particular and complete accordance with fact	demanding strict attention to rules and procedures
(of ideas, images, representations, expressions) characterized by perfect conformity to fact or truth; strictly correct	rigidly accurate; allowing no deviation from a standard
lacking compromising or mitigating elements

exact (verb)	rigorous (verb)
claim as due or just
take as an undesirable consequence of some event or state of affairs