> The “knowledge retrieval” stage may hallucinate, but—because the knowledge is expressed as code—we can execute it and validate the result against a custom evaluation function.
Can you give a concrete example of this? It's hard for me to conceptualize.
Assume you have data for Hooke's law (a spreadsheet with F, x, and other variables) and you want AlphaEvolve to give you the equation ``F = -C_1*x``.
Let's say the model hallucinates in two directions:
1. "There is a trigonometric relationship between variable F and x". It expresses this as ``F = -C_1*sin(x)``. You fit the constant C_1 w.r.t the dataset, execute the program, and your best fit has a high error. You can discard the program.
2. "There is an inverse linear relationship between variable F and x". Now it expresses this as ``F = -C_1*x``. You fit the constant C_1 w.r.t the dataset, execute the program, and your best fit has extremely low error. You now know for sure that you're on the right track.