Average Error: 0.0 → 0.0
Time: 8.5s
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 r37256 = x;
        double r37257 = y;
        double r37258 = r37256 - r37257;
        double r37259 = fabs(r37258);
        double r37260 = sqrt(r37259);
        return r37260;
}
↓
double f(double x, double y) {
        double r37261 = x;
        double r37262 = y;
        double r37263 = r37261 - r37262;
        double r37264 = fabs(r37263);
        double r37265 = sqrt(r37264);
        return r37265;
}

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 2019323 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))