Average Error: 0.0 → 0.0
Time: 381.0ms
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 r39420 = x;
        double r39421 = y;
        double r39422 = r39420 - r39421;
        double r39423 = fabs(r39422);
        double r39424 = sqrt(r39423);
        return r39424;
}
↓
double f(double x, double y) {
        double r39425 = x;
        double r39426 = y;
        double r39427 = r39425 - r39426;
        double r39428 = fabs(r39427);
        double r39429 = sqrt(r39428);
        return r39429;
}

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 2020062 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))