like hell vs like crazy

like hell and like crazy both are adverbs.

Word	Noun	Adjective	Verb	Adverb
like hell	No	No	No	Yes
like crazy	No	No	No	Yes

As adverbs, like hell and like crazy are synonyms defined as:

like hell and like crazy: (informal) with great speed or effort or intensity; used for emphasis

Other synonyms of like hell include like mad, like sin, like the devil, like thunder.

like hell (adverb)	like crazy (adverb)
(informal) with great speed or effort or intensity; used for emphasis	(informal) with great speed or effort or intensity; used for emphasis
used ironically to indicate the opposite of what is stated