Average Error: 0.0 → 0.0
Time: 480.0ms
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 r33389 = x;
        double r33390 = y;
        double r33391 = r33389 - r33390;
        double r33392 = fabs(r33391);
        double r33393 = sqrt(r33392);
        return r33393;
}
↓
double f(double x, double y) {
        double r33394 = x;
        double r33395 = y;
        double r33396 = r33394 - r33395;
        double r33397 = fabs(r33396);
        double r33398 = sqrt(r33397);
        return r33398;
}

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 2019347 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))