Average Error: 0.0 → 0.0
Time: 7.6s
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 r23054 = x;
        double r23055 = y;
        double r23056 = r23054 - r23055;
        double r23057 = fabs(r23056);
        double r23058 = sqrt(r23057);
        return r23058;
}
↓
double f(double x, double y) {
        double r23059 = x;
        double r23060 = y;
        double r23061 = r23059 - r23060;
        double r23062 = fabs(r23061);
        double r23063 = sqrt(r23062);
        return r23063;
}

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 2019235 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))