Average Error: 0.0 → 0.0
Time: 966.0ms
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 r1557320 = x;
        double r1557321 = y;
        double r1557322 = r1557320 - r1557321;
        double r1557323 = fabs(r1557322);
        double r1557324 = sqrt(r1557323);
        return r1557324;
}
↓
double f(double x, double y) {
        double r1557325 = x;
        double r1557326 = y;
        double r1557327 = r1557325 - r1557326;
        double r1557328 = fabs(r1557327);
        double r1557329 = sqrt(r1557328);
        return r1557329;
}

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 2019171 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))