Average Error: 0.0 → 0.0
Time: 410.0ms
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 r40448 = x;
        double r40449 = y;
        double r40450 = r40448 - r40449;
        double r40451 = fabs(r40450);
        double r40452 = sqrt(r40451);
        return r40452;
}
↓
double f(double x, double y) {
        double r40453 = x;
        double r40454 = y;
        double r40455 = r40453 - r40454;
        double r40456 = fabs(r40455);
        double r40457 = sqrt(r40456);
        return r40457;
}

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 2019347 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))