Average Error: 0.0 → 0.0
Time: 5.3s
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 r34758 = x;
        double r34759 = y;
        double r34760 = r34758 - r34759;
        double r34761 = fabs(r34760);
        double r34762 = sqrt(r34761);
        return r34762;
}
↓
double f(double x, double y) {
        double r34763 = x;
        double r34764 = y;
        double r34765 = r34763 - r34764;
        double r34766 = fabs(r34765);
        double r34767 = sqrt(r34766);
        return r34767;
}

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 2019294 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))