go all out vs do one's best

go all out and do one's best both are verbs.

Word	Noun	Adjective	Verb	Adverb
go all out	No	No	Yes	No
do one's best	No	No	Yes	No

As verbs, go all out and do one's best are synonyms defined as:

Other synonyms of go all out include give full measure, give one's best.

go all out (verb)	do one's best (verb)
perform a task as well as possible	perform a task as well as possible