Average Error: 0.0 → 0.0
Time: 371.0ms
Precision: 64
\[\sqrt{\left|x - y\right|}\]
↓
\[\sqrt{\left|x - y\right|}\]
\sqrt{\left|x - y\right|}
↓
\sqrt{\left|x - y\right|}
double f(double x, double y) {
        double r37705 = x;
        double r37706 = y;
        double r37707 = r37705 - r37706;
        double r37708 = fabs(r37707);
        double r37709 = sqrt(r37708);
        return r37709;
}
↓
double f(double x, double y) {
        double r37710 = x;
        double r37711 = y;
        double r37712 = r37710 - r37711;
        double r37713 = fabs(r37712);
        double r37714 = sqrt(r37713);
        return r37714;
}

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

    \[\sqrt{\left|x - y\right|}\]

  2. Final simplification0.0

    \[\leadsto \sqrt{\left|x - y\right|}\]

Reproduce

herbie shell --seed 2020060 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))