Average Error: 0.0 → 0.0
Time: 1.1s
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 r34635 = x;
        double r34636 = y;
        double r34637 = r34635 - r34636;
        double r34638 = fabs(r34637);
        double r34639 = sqrt(r34638);
        return r34639;
}
↓
double f(double x, double y) {
        double r34640 = x;
        double r34641 = y;
        double r34642 = r34640 - r34641;
        double r34643 = fabs(r34642);
        double r34644 = sqrt(r34643);
        return r34644;
}

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 2020036 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))