Average Error: 0.0 → 0.0
Time: 1.1s
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 r34415 = x;
        double r34416 = y;
        double r34417 = r34415 - r34416;
        double r34418 = fabs(r34417);
        double r34419 = sqrt(r34418);
        return r34419;
}
↓
double f(double x, double y) {
        double r34420 = x;
        double r34421 = y;
        double r34422 = r34420 - r34421;
        double r34423 = fabs(r34422);
        double r34424 = sqrt(r34423);
        return r34424;
}

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 2020039 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))