Average Error: 0.0 → 0.0
Time: 599.0ms
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 r36990 = x;
        double r36991 = y;
        double r36992 = r36990 - r36991;
        double r36993 = fabs(r36992);
        double r36994 = sqrt(r36993);
        return r36994;
}
↓
double f(double x, double y) {
        double r36995 = x;
        double r36996 = y;
        double r36997 = r36995 - r36996;
        double r36998 = fabs(r36997);
        double r36999 = sqrt(r36998);
        return r36999;
}

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 2020089 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))