pull in one's horns vs back out

pull in one's horns and back out both are verbs.

Word	Noun	Adjective	Verb	Adverb
pull in one's horns	No	No	Yes	No
back out	No	No	Yes	No

As verbs, pull in one's horns and back out are synonyms defined as:

pull in one's horns and back out: make a retreat from an earlier commitment or activity

Other synonyms of pull in one's horns include back away, crawfish, crawfish out, pull back, retreat, withdraw.

pull in one's horns (verb)	back out (verb)
make a retreat from an earlier commitment or activity	make a retreat from an earlier commitment or activity
	move out of a space backwards