Average Error: 0.0 → 0.0
Time: 435.0ms
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 r13055 = x;
        double r13056 = y;
        double r13057 = r13055 - r13056;
        double r13058 = fabs(r13057);
        double r13059 = sqrt(r13058);
        return r13059;
}
↓
double f(double x, double y) {
        double r13060 = x;
        double r13061 = y;
        double r13062 = r13060 - r13061;
        double r13063 = fabs(r13062);
        double r13064 = sqrt(r13063);
        return r13064;
}

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 2020045 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))