Average Error: 0.0 → 0.0
Time: 3.5s
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 r59342 = x;
        double r59343 = y;
        double r59344 = r59342 - r59343;
        double r59345 = fabs(r59344);
        double r59346 = sqrt(r59345);
        return r59346;
}
↓
double f(double x, double y) {
        double r59347 = x;
        double r59348 = y;
        double r59349 = r59347 - r59348;
        double r59350 = fabs(r59349);
        double r59351 = sqrt(r59350);
        return r59351;
}

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 2019350 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))