Average Error: 0.0 → 0.0
Time: 4.0s
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 r1712998 = x;
        double r1712999 = y;
        double r1713000 = r1712998 - r1712999;
        double r1713001 = fabs(r1713000);
        double r1713002 = sqrt(r1713001);
        return r1713002;
}
↓
double f(double x, double y) {
        double r1713003 = x;
        double r1713004 = y;
        double r1713005 = r1713003 - r1713004;
        double r1713006 = fabs(r1713005);
        double r1713007 = sqrt(r1713006);
        return r1713007;
}

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 2019168 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))