Average Error: 0.0 → 0.0
Time: 1.8s
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 r29299 = x;
        double r29300 = y;
        double r29301 = r29299 - r29300;
        double r29302 = fabs(r29301);
        double r29303 = sqrt(r29302);
        return r29303;
}
↓
double f(double x, double y) {
        double r29304 = x;
        double r29305 = y;
        double r29306 = r29304 - r29305;
        double r29307 = fabs(r29306);
        double r29308 = sqrt(r29307);
        return r29308;
}

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 2019354 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))