head over heels vs topsy-turvily

head over heels and topsy-turvily both are adverbs.

Word	Noun	Adjective	Verb	Adverb
head over heels	No	No	No	Yes
topsy-turvily	No	No	No	Yes

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

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

head over heels (adverb)	topsy-turvily (adverb)
in disorderly haste	in disorderly haste