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(15,10)(15,10)

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Appendix A.2 of FunSearch’s supplementary material runs precisely the test this article’s framing has been building toward: strip the language model out of the identical loop, replace it with a hand-designed random mutation operator — the paper’s own researchers built a library of arithmetic operations and array functions, and had the mutation step insert or modify one operation at a random location in the program’s syntax tree — and run all three variants, the default Codey-based model, an open alternative called StarCoder, and the no-LLM random-mutation control, on the same target problem under the same evaluator [ 2 ] . The target was a harder relative of the dimension-8 cap set problem:…

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(15,10)(15,10)

Equation 11 · Technological Evolution

FunSearch Found New Mathematics Without Ever Understanding the Problem

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

Appendix A.2 of FunSearch’s supplementary material runs precisely the test this article’s framing has been building toward: strip the language model out of the identical loop, replace it with a hand-designed random mutation operator — the paper’s own researchers built a library of arithmetic operations and array functions, and had the mutation step insert or modify one operation at a random location in the program’s syntax tree — and run all three variants, the default Codey-based model, an open alternative called StarCoder, and the no-LLM random-mutation control, on the same target problem under the same evaluator [ 2 ] . The target was a harder relative of the dimension-8 cap set problem:…

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