Average Error: 0.0 → 0.0
Time: 9.5s
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 r36703 = x;
        double r36704 = y;
        double r36705 = r36703 - r36704;
        double r36706 = fabs(r36705);
        double r36707 = sqrt(r36706);
        return r36707;
}
↓
double f(double x, double y) {
        double r36708 = x;
        double r36709 = y;
        double r36710 = r36708 - r36709;
        double r36711 = fabs(r36710);
        double r36712 = sqrt(r36711);
        return r36712;
}

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 2019323 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))