Average Error: 0.0 → 0.0
Time: 8.5s
Precision: 64
\[{x}^{4} - {y}^{4}\]
↓
\[{x}^{4} - {y}^{4}\]
{x}^{4} - {y}^{4}
↓
{x}^{4} - {y}^{4}
double f(double x, double y) {
        double r194462 = x;
        double r194463 = 4.0;
        double r194464 = pow(r194462, r194463);
        double r194465 = y;
        double r194466 = pow(r194465, r194463);
        double r194467 = r194464 - r194466;
        return r194467;
}
↓
double f(double x, double y) {
        double r194468 = x;
        double r194469 = 4.0;
        double r194470 = pow(r194468, r194469);
        double r194471 = y;
        double r194472 = pow(r194471, r194469);
        double r194473 = r194470 - r194472;
        return r194473;
}

Error

Bits error versus x

Bits error versus y

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Results

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Derivation

  1. Initial program 0.0

    \[{x}^{4} - {y}^{4}\]

  2. Final simplification0.0

    \[\leadsto {x}^{4} - {y}^{4}\]

Reproduce

herbie shell --seed 2019153 
(FPCore (x y)
  :name "Radioactive exchange between two surfaces"
  (- (pow x 4) (pow y 4)))