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 r35924 = x;
        double r35925 = y;
        double r35926 = r35924 - r35925;
        double r35927 = fabs(r35926);
        double r35928 = sqrt(r35927);
        return r35928;
}
↓
double f(double x, double y) {
        double r35929 = x;
        double r35930 = y;
        double r35931 = r35929 - r35930;
        double r35932 = fabs(r35931);
        double r35933 = sqrt(r35932);
        return r35933;
}

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))))