Average Error: 0.0 → 0.0
Time: 368.0ms
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 r42034 = x;
        double r42035 = y;
        double r42036 = r42034 - r42035;
        double r42037 = fabs(r42036);
        double r42038 = sqrt(r42037);
        return r42038;
}
↓
double f(double x, double y) {
        double r42039 = x;
        double r42040 = y;
        double r42041 = r42039 - r42040;
        double r42042 = fabs(r42041);
        double r42043 = sqrt(r42042);
        return r42043;
}

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 2020062 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))