Average Error: 0.0 → 0.0
Time: 3.9s
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 r36411 = x;
        double r36412 = y;
        double r36413 = r36411 - r36412;
        double r36414 = fabs(r36413);
        double r36415 = sqrt(r36414);
        return r36415;
}
↓
double f(double x, double y) {
        double r36416 = x;
        double r36417 = y;
        double r36418 = r36416 - r36417;
        double r36419 = fabs(r36418);
        double r36420 = sqrt(r36419);
        return r36420;
}

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))))