Average Error: 0.0 → 0.0
Time: 365.0ms
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 r284 = x;
        double r285 = y;
        double r286 = r284 - r285;
        double r287 = fabs(r286);
        double r288 = sqrt(r287);
        return r288;
}
↓
double f(double x, double y) {
        double r289 = x;
        double r290 = y;
        double r291 = r289 - r290;
        double r292 = fabs(r291);
        double r293 = sqrt(r292);
        return r293;
}

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 2020045 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))