Average Error: 0.0 → 0.0
Time: 5.2s
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 r30300 = x;
        double r30301 = 4.0;
        double r30302 = pow(r30300, r30301);
        double r30303 = y;
        double r30304 = pow(r30303, r30301);
        double r30305 = r30302 - r30304;
        return r30305;
}
↓
double f(double x, double y) {
        double r30306 = x;
        double r30307 = 4.0;
        double r30308 = pow(r30306, r30307);
        double r30309 = y;
        double r30310 = pow(r30309, r30307);
        double r30311 = r30308 - r30310;
        return r30311;
}

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 2019306 +o rules:numerics
(FPCore (x y)
  :name "Radioactive exchange between two surfaces"
  :precision binary64
  (- (pow x 4) (pow y 4)))