Average Error: 0.0 → 0.0
Time: 2.6s
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 r52392 = x;
        double r52393 = y;
        double r52394 = r52392 - r52393;
        double r52395 = fabs(r52394);
        double r52396 = sqrt(r52395);
        return r52396;
}
↓
double f(double x, double y) {
        double r52397 = x;
        double r52398 = y;
        double r52399 = r52397 - r52398;
        double r52400 = fabs(r52399);
        double r52401 = sqrt(r52400);
        return r52401;
}

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 2020100 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))