Average Error: 0.0 → 0.0
Time: 13.5s
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 r2392172 = x;
        double r2392173 = y;
        double r2392174 = r2392172 - r2392173;
        double r2392175 = fabs(r2392174);
        double r2392176 = sqrt(r2392175);
        return r2392176;
}
↓
double f(double x, double y) {
        double r2392177 = x;
        double r2392178 = y;
        double r2392179 = r2392177 - r2392178;
        double r2392180 = fabs(r2392179);
        double r2392181 = sqrt(r2392180);
        return r2392181;
}

Error

Bits error versus x

Bits error versus y

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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 2019170 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))