Average Error: 0.0 → 0.0
Time: 16.4s
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 r10994 = x;
        double r10995 = y;
        double r10996 = r10994 - r10995;
        double r10997 = fabs(r10996);
        double r10998 = sqrt(r10997);
        return r10998;
}
↓
double f(double x, double y) {
        double r10999 = x;
        double r11000 = y;
        double r11001 = r10999 - r11000;
        double r11002 = fabs(r11001);
        double r11003 = sqrt(r11002);
        return r11003;
}

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 2019315 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))