Average Error: 0.0 → 0.0
Time: 2.9s
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 r54677 = x;
        double r54678 = y;
        double r54679 = r54677 - r54678;
        double r54680 = fabs(r54679);
        double r54681 = sqrt(r54680);
        return r54681;
}
↓
double f(double x, double y) {
        double r54682 = x;
        double r54683 = y;
        double r54684 = r54682 - r54683;
        double r54685 = fabs(r54684);
        double r54686 = sqrt(r54685);
        return r54686;
}

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 1978988140 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))