devilishly vs madly

devilishly and madly both are adverbs.

Word	Noun	Adjective	Verb	Adverb
devilishly	No	No	No	Yes
madly	No	No	No	Yes

As adverbs, devilishly and madly are synonyms defined as:

Other synonyms of devilishly include deadly, deucedly, insanely.

devilishly (adverb)	madly (adverb)
in a playfully devilish manner	(used as intensives) excessively
(used as intensives) excessively	in an insane manner
as a devil; in an evil manner	in an ungovernable manner