Average Error: 0.0 → 0.0
Time: 7.3s
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 r1307147 = x;
        double r1307148 = y;
        double r1307149 = r1307147 - r1307148;
        double r1307150 = fabs(r1307149);
        double r1307151 = sqrt(r1307150);
        return r1307151;
}
↓
double f(double x, double y) {
        double r1307152 = x;
        double r1307153 = y;
        double r1307154 = r1307152 - r1307153;
        double r1307155 = fabs(r1307154);
        double r1307156 = sqrt(r1307155);
        return r1307156;
}

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 2019172 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))