Average Error: 0.0 → 0.0
Time: 378.0ms
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 r42931 = x;
        double r42932 = y;
        double r42933 = r42931 - r42932;
        double r42934 = fabs(r42933);
        double r42935 = sqrt(r42934);
        return r42935;
}
↓
double f(double x, double y) {
        double r42936 = x;
        double r42937 = y;
        double r42938 = r42936 - r42937;
        double r42939 = fabs(r42938);
        double r42940 = sqrt(r42939);
        return r42940;
}

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 2020045 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))