Vibe Coding on FORM

[tueda]

Just out of curiosity, I tried getting an AI to use FORM. I'm sharing the prompt I gave to ChatGPT-5.4 below:

Use your available execution environment to run `pip install pysecdec`, then locate the filesystem path of the `form` executable installed as part of the `pysecdec` package. Since it may not be on `PATH`, you need to invoke it directly via its full filesystem path.

Next, write a FORM program that starts from the tree-level amplitude $M$ and its conjugate, works its way through to the Klein-Nishina differential cross section for Compton scattering, and then execute it with the `form` executable. Ensure the code is well-commented, with clear explanations of any symbols, definitions, and intermediate steps introduced in the program.

Present the complete FORM program in a code block. Also, present the final derived expression from the execution output in a code block. Verify the FORM output and explain the result.

And here is the conversation.

I used SecDec for this, but its bundled FORM version is unfortunately 4.3.1 at the moment. Perhaps we could provide PyPI wheels with the latest binaries, or a WebAssembly version on npm.