Average Error: 0.0 → 0.0
Time: 6.0s
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 r35393 = x;
        double r35394 = y;
        double r35395 = r35393 - r35394;
        double r35396 = fabs(r35395);
        double r35397 = sqrt(r35396);
        return r35397;
}
↓
double f(double x, double y) {
        double r35398 = x;
        double r35399 = y;
        double r35400 = r35398 - r35399;
        double r35401 = fabs(r35400);
        double r35402 = sqrt(r35401);
        return r35402;
}

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 2019325 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))