Average Error: 0.0 → 0.0
Time: 4.7s
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 r35902 = x;
        double r35903 = y;
        double r35904 = r35902 - r35903;
        double r35905 = fabs(r35904);
        double r35906 = sqrt(r35905);
        return r35906;
}
↓
double f(double x, double y) {
        double r35907 = x;
        double r35908 = y;
        double r35909 = r35907 - r35908;
        double r35910 = fabs(r35909);
        double r35911 = sqrt(r35910);
        return r35911;
}

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 2019212 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))