Average Error: 0.0 → 0.0
Time: 1.1s
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 r54123 = x;
        double r54124 = y;
        double r54125 = r54123 - r54124;
        double r54126 = fabs(r54125);
        double r54127 = sqrt(r54126);
        return r54127;
}
↓
double f(double x, double y) {
        double r54128 = x;
        double r54129 = y;
        double r54130 = r54128 - r54129;
        double r54131 = fabs(r54130);
        double r54132 = sqrt(r54131);
        return r54132;
}

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 2020021 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))