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programmatical 

a task or routine that can be accomplished through routine programming.
Once you identify a plane in space, the rest of the inspection is simply programatical.
programmatical by MrKnuckle August 31, 2004

Programatically

Speaking of the programming of an application; be it a website or a piece of software.
Brian Antczak: "Programatically speaking, your website blows."

Programmagically

"Programmagically" means executing tasks automatically using code, scripts, or software but will need some magic that seems impossible.

As opposed to:

"Programmatically" means executing tasks automatically using code, scripts, or software rather than manual, human interaction.

"Programmagically" also means the code works, but you are unsure why it works, when it looks wrong, therefore there is some magic happening.
The code we need will programmagically match a street address to the customer's name, because the there is no way to relate them.
Programmagically by turtle-spud February 20, 2026