Average Error: 0.0 → 0.0
Time: 6.1s
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 r33371 = x;
        double r33372 = y;
        double r33373 = r33371 - r33372;
        double r33374 = fabs(r33373);
        double r33375 = sqrt(r33374);
        return r33375;
}
↓
double f(double x, double y) {
        double r33376 = x;
        double r33377 = y;
        double r33378 = r33376 - r33377;
        double r33379 = fabs(r33378);
        double r33380 = sqrt(r33379);
        return r33380;
}

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