Average Error: 0.0 → 0.0
Time: 4.3s
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 r20915 = x;
        double r20916 = y;
        double r20917 = r20915 - r20916;
        double r20918 = fabs(r20917);
        double r20919 = sqrt(r20918);
        return r20919;
}
↓
double f(double x, double y) {
        double r20920 = x;
        double r20921 = y;
        double r20922 = r20920 - r20921;
        double r20923 = fabs(r20922);
        double r20924 = sqrt(r20923);
        return r20924;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

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 2019297 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))