Average Error: 0.0 → 0.0
Time: 3.0s
Precision: 64
\[{x}^{4} - {y}^{4}\]
↓
\[{x}^{4} - {y}^{4}\]
double f(double x, double y) {
        double r9335 = x;
        double r9336 = 4.0;
        double r9337 = pow(r9335, r9336);
        double r9338 = y;
        double r9339 = pow(r9338, r9336);
        double r9340 = r9337 - r9339;
        return r9340;
}
↓
double f(double x, double y) {
        double r9341 = x;
        double r9342 = 4.0;
        double r9343 = pow(r9341, r9342);
        double r9344 = y;
        double r9345 = pow(r9344, r9342);
        double r9346 = r9343 - r9345;
        return r9346;
}


{x}^{4} - {y}^{4}
↓
{x}^{4} - {y}^{4}

Error

Bits error versus x

Bits error versus y

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019101 +o rules:numerics
(FPCore (x y)
  :name "Radioactive exchange between two surfaces"
  (- (pow x 4) (pow y 4)))