Average Error: 0.0 → 0.0
Time: 429.0ms
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 r37326 = x;
        double r37327 = y;
        double r37328 = r37326 - r37327;
        double r37329 = fabs(r37328);
        double r37330 = sqrt(r37329);
        return r37330;
}
↓
double f(double x, double y) {
        double r37331 = x;
        double r37332 = y;
        double r37333 = r37331 - r37332;
        double r37334 = fabs(r37333);
        double r37335 = sqrt(r37334);
        return r37335;
}

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 2020001 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))