Average Error: 0.0 → 0.0
Time: 2.3s
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 r36381 = x;
        double r36382 = y;
        double r36383 = r36381 - r36382;
        double r36384 = fabs(r36383);
        double r36385 = sqrt(r36384);
        return r36385;
}
↓
double f(double x, double y) {
        double r36386 = x;
        double r36387 = y;
        double r36388 = r36386 - r36387;
        double r36389 = fabs(r36388);
        double r36390 = sqrt(r36389);
        return r36390;
}

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 2020056 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))