Average Error: 0.0 → 0.0
Time: 3.2s
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 r33676 = x;
        double r33677 = y;
        double r33678 = r33676 - r33677;
        double r33679 = fabs(r33678);
        double r33680 = sqrt(r33679);
        return r33680;
}
↓
double f(double x, double y) {
        double r33681 = x;
        double r33682 = y;
        double r33683 = r33681 - r33682;
        double r33684 = fabs(r33683);
        double r33685 = sqrt(r33684);
        return r33685;
}

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 2019291 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))