go off at half-cock vs go off half-cocked

go off at half-cock and go off half-cocked both are verbs.

Word	Noun	Adjective	Verb	Adverb
go off at half-cock	No	No	Yes	No
go off half-cocked	No	No	Yes	No

As verbs, go off at half-cock and go off half-cocked are synonyms defined as:

go off at half-cock and go off half-cocked: act prematurely or without reflection or too soon

go off at half-cock (verb)	go off half-cocked (verb)
act prematurely or without reflection or too soon	act prematurely or without reflection or too soon