Average Error: 0.0 → 0.0
Time: 384.0ms
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 r39892 = x;
        double r39893 = y;
        double r39894 = r39892 - r39893;
        double r39895 = fabs(r39894);
        double r39896 = sqrt(r39895);
        return r39896;
}

double f(double x, double y) {
        double r39897 = x;
        double r39898 = y;
        double r39899 = r39897 - r39898;
        double r39900 = fabs(r39899);
        double r39901 = sqrt(r39900);
        return r39901;
}

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 2020018 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))