Average Error: 0.0 → 0.0
Time: 5.5s
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 r34391 = x;
        double r34392 = y;
        double r34393 = r34391 - r34392;
        double r34394 = fabs(r34393);
        double r34395 = sqrt(r34394);
        return r34395;
}
↓
double f(double x, double y) {
        double r34396 = x;
        double r34397 = y;
        double r34398 = r34396 - r34397;
        double r34399 = fabs(r34398);
        double r34400 = sqrt(r34399);
        return r34400;
}

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 2020047 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))