Average Error: 0.0 → 0.0
Time: 380.0ms
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 r17666 = x;
        double r17667 = y;
        double r17668 = r17666 - r17667;
        double r17669 = fabs(r17668);
        double r17670 = sqrt(r17669);
        return r17670;
}
↓
double f(double x, double y) {
        double r17671 = x;
        double r17672 = y;
        double r17673 = r17671 - r17672;
        double r17674 = fabs(r17673);
        double r17675 = sqrt(r17674);
        return r17675;
}

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 2020060 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))