Average Error: 0.0 → 0.0
Time: 11.6s
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 r2048934 = x;
        double r2048935 = y;
        double r2048936 = r2048934 - r2048935;
        double r2048937 = fabs(r2048936);
        double r2048938 = sqrt(r2048937);
        return r2048938;
}
↓
double f(double x, double y) {
        double r2048939 = x;
        double r2048940 = y;
        double r2048941 = r2048939 - r2048940;
        double r2048942 = fabs(r2048941);
        double r2048943 = sqrt(r2048942);
        return r2048943;
}

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 2019163 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))