Average Error: 0.0 → 0.0
Time: 3.0s
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 r35347 = x;
        double r35348 = y;
        double r35349 = r35347 - r35348;
        double r35350 = fabs(r35349);
        double r35351 = sqrt(r35350);
        return r35351;
}
↓
double f(double x, double y) {
        double r35352 = x;
        double r35353 = y;
        double r35354 = r35352 - r35353;
        double r35355 = fabs(r35354);
        double r35356 = sqrt(r35355);
        return r35356;
}

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 2019303 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))