mystifier vs puzzler

mystifier and puzzler both are nouns.

Word	Noun	Adjective	Verb	Adverb
mystifier	Yes	No	No	No
puzzler	Yes	No	No	No

As nouns, mystifier and puzzler are synonyms defined as:

mystifier and puzzler: a particularly baffling problem that is said to have a correct solution

Other synonyms of mystifier include puzzle, teaser.

mystifier (noun)	puzzler (noun)
a particularly baffling problem that is said to have a correct solution	a particularly baffling problem that is said to have a correct solution