Average Error: 0.0 → 0.0
Time: 1.2s
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 r55221 = x;
        double r55222 = y;
        double r55223 = r55221 - r55222;
        double r55224 = fabs(r55223);
        double r55225 = sqrt(r55224);
        return r55225;
}
↓
double f(double x, double y) {
        double r55226 = x;
        double r55227 = y;
        double r55228 = r55226 - r55227;
        double r55229 = fabs(r55228);
        double r55230 = sqrt(r55229);
        return r55230;
}

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 2020046 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))