Average Error: 0.0 → 0.0
Time: 1.6s
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 r36776 = x;
        double r36777 = y;
        double r36778 = r36776 - r36777;
        double r36779 = fabs(r36778);
        double r36780 = sqrt(r36779);
        return r36780;
}
↓
double f(double x, double y) {
        double r36781 = x;
        double r36782 = y;
        double r36783 = r36781 - r36782;
        double r36784 = fabs(r36783);
        double r36785 = sqrt(r36784);
        return r36785;
}

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 2019356 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))