Average Error: 0.0 → 0.0
Time: 500.0ms
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 r51885 = x;
        double r51886 = y;
        double r51887 = r51885 - r51886;
        double r51888 = fabs(r51887);
        double r51889 = sqrt(r51888);
        return r51889;
}
↓
double f(double x, double y) {
        double r51890 = x;
        double r51891 = y;
        double r51892 = r51890 - r51891;
        double r51893 = fabs(r51892);
        double r51894 = sqrt(r51893);
        return r51894;
}

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 2020049 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))