Average Error: 0.0 → 0.0
Time: 1.2s
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 r23055 = x;
        double r23056 = 4.0;
        double r23057 = pow(r23055, r23056);
        double r23058 = y;
        double r23059 = pow(r23058, r23056);
        double r23060 = r23057 - r23059;
        return r23060;
}
↓
double f(double x, double y) {
        double r23061 = x;
        double r23062 = 4.0;
        double r23063 = pow(r23061, r23062);
        double r23064 = y;
        double r23065 = pow(r23064, r23062);
        double r23066 = r23063 - r23065;
        return r23066;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2020020 +o rules:numerics
(FPCore (x y)
  :name "Radioactive exchange between two surfaces"
  :precision binary64
  (- (pow x 4) (pow y 4)))