Average Error: 0.0 → 0.0
Time: 9.4s
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 r18135 = x;
        double r18136 = y;
        double r18137 = r18135 - r18136;
        double r18138 = fabs(r18137);
        double r18139 = sqrt(r18138);
        return r18139;
}
↓
double f(double x, double y) {
        double r18140 = x;
        double r18141 = y;
        double r18142 = r18140 - r18141;
        double r18143 = fabs(r18142);
        double r18144 = sqrt(r18143);
        return r18144;
}

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 2019198 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))