Average Error: 0.0 → 0.0
Time: 3.9s
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 r33527 = x;
        double r33528 = 4.0;
        double r33529 = pow(r33527, r33528);
        double r33530 = y;
        double r33531 = pow(r33530, r33528);
        double r33532 = r33529 - r33531;
        return r33532;
}
↓
double f(double x, double y) {
        double r33533 = x;
        double r33534 = 4.0;
        double r33535 = pow(r33533, r33534);
        double r33536 = y;
        double r33537 = pow(r33536, r33534);
        double r33538 = r33535 - r33537;
        return r33538;
}

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 2020081 +o rules:numerics
(FPCore (x y)
  :name "Radioactive exchange between two surfaces"
  :precision binary64
  (- (pow x 4) (pow y 4)))