Average Error: 0.0 → 0.0
Time: 10.1s
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 r2050592 = x;
        double r2050593 = y;
        double r2050594 = r2050592 - r2050593;
        double r2050595 = fabs(r2050594);
        double r2050596 = sqrt(r2050595);
        return r2050596;
}
↓
double f(double x, double y) {
        double r2050597 = x;
        double r2050598 = y;
        double r2050599 = r2050597 - r2050598;
        double r2050600 = fabs(r2050599);
        double r2050601 = sqrt(r2050600);
        return r2050601;
}

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 2019169 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))