I have mind blower for you. I don't believe there is a "formula" in Scripture. Here's why...
Can anyone find an exact quote of what was to be said over a convert at water baptism??? No. If there was a "formula"... why don't we see it "formulated"???
We do see something very interesting. Who was told to call upon the name of Jesus at Paul's baptism?
(Acts 22:16 KJV)
(16) And now why tarriest thou? arise, and be baptized, and wash away thy sins, calling on the name of the Lord.
Notice, Ananias didn't tell Paul, "arise, and be baptized, and wash away thy sins, as I call upon the name of the Lord." No... Ananias told PAUL to call upon the name of the Lord to wash away his sins.
I think "formulas" are innovations codified by legalists. The issue isn't what is being said over you by a third party. The issue is... who's name are YOU calling upon at your baptism? A "biblical"
Jesus name baptism is one wherein the one being water baptized is calling upon the name of Jesus as Paul was commanded to.
If I'm wrong... please give me an exact quote of what was said over a person in water baptism. If this can't be provided.... it can hardly be claimed that it was "formulated". And if it wasn't "formulated"... we don't have a "formula".
Technically, a person could wade out into a river, call on the name of Jesus for salvation, and submerge themselves... and it would be more valid and biblical than having a fancy pants institutionalist-preacher utter a phrase over them.