Average Error: 0.0 → 0.0
Time: 802.0ms
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 r45812 = x;
        double r45813 = y;
        double r45814 = r45812 - r45813;
        double r45815 = fabs(r45814);
        double r45816 = sqrt(r45815);
        return r45816;
}
↓
double f(double x, double y) {
        double r45817 = x;
        double r45818 = y;
        double r45819 = r45817 - r45818;
        double r45820 = fabs(r45819);
        double r45821 = sqrt(r45820);
        return r45821;
}

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 2019308 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))