Average Error: 0.0 → 0.0
Time: 9.3s
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 r3143989 = x;
        double r3143990 = y;
        double r3143991 = r3143989 - r3143990;
        double r3143992 = fabs(r3143991);
        double r3143993 = sqrt(r3143992);
        return r3143993;
}
↓
double f(double x, double y) {
        double r3143994 = x;
        double r3143995 = y;
        double r3143996 = r3143994 - r3143995;
        double r3143997 = fabs(r3143996);
        double r3143998 = sqrt(r3143997);
        return r3143998;
}

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 2019174 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))