Average Error: 0.0 → 0.0
Time: 10.6s
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 r966020 = x;
        double r966021 = y;
        double r966022 = r966020 - r966021;
        double r966023 = fabs(r966022);
        double r966024 = sqrt(r966023);
        return r966024;
}
↓
double f(double x, double y) {
        double r966025 = x;
        double r966026 = y;
        double r966027 = r966025 - r966026;
        double r966028 = fabs(r966027);
        double r966029 = sqrt(r966028);
        return r966029;
}

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 2019164 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))