WEBVTT

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Change only the scale, and a derivative of one half becomes zero or infinity. This is an actual CPU result from MLX.

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For positive C, arc tangent two of C times t and C equals arc tangent of t. At one, the slope must be one half.

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The derivative rule squares both coordinates. At extreme scales, their sum overflows or underflows, even when the correct derivative is representable.

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Normalization alone introduced six regressions. Preserving weighted derivatives required three arithmetic orders. Both failed intermediate versions remain in the evidence.

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The final patch passes all thirteen hundred sixty eight comparisons across four types. Float thirty two and sixty four also include higher derivatives.

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These mismatches describe one numerical defect. The report includes code, source pins and limits. GPU behavior and performance have not been tested.