Average Error: 0.0 → 0.0
Time: 1.7s
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 r44738 = x;
        double r44739 = y;
        double r44740 = r44738 - r44739;
        double r44741 = fabs(r44740);
        double r44742 = sqrt(r44741);
        return r44742;
}
↓
double f(double x, double y) {
        double r44743 = x;
        double r44744 = y;
        double r44745 = r44743 - r44744;
        double r44746 = fabs(r44745);
        double r44747 = sqrt(r44746);
        return r44747;
}

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 2019354 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))