head over heels vs heels over head

head over heels and heels over head both are adverbs.

Word	Noun	Adjective	Verb	Adverb
head over heels	No	No	No	Yes
heels over head	No	No	No	Yes

As adverbs, head over heels and heels over head are synonyms defined as:

Other synonyms of head over heels include in great confusion, topsy-turvily, topsy-turvy.

head over heels (adverb)	heels over head (adverb)
in disorderly haste	in disorderly haste