Average Error: 0.0 → 0.0
Time: 7.3s
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 r35528 = x;
        double r35529 = y;
        double r35530 = r35528 - r35529;
        double r35531 = fabs(r35530);
        double r35532 = sqrt(r35531);
        return r35532;
}
↓
double f(double x, double y) {
        double r35533 = x;
        double r35534 = y;
        double r35535 = r35533 - r35534;
        double r35536 = fabs(r35535);
        double r35537 = sqrt(r35536);
        return r35537;
}

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 2020042 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))