Average Error: 0.0 → 0.0
Time: 7.5s
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 r1784374 = x;
        double r1784375 = y;
        double r1784376 = r1784374 - r1784375;
        double r1784377 = fabs(r1784376);
        double r1784378 = sqrt(r1784377);
        return r1784378;
}
↓
double f(double x, double y) {
        double r1784379 = x;
        double r1784380 = y;
        double r1784381 = r1784379 - r1784380;
        double r1784382 = fabs(r1784381);
        double r1784383 = sqrt(r1784382);
        return r1784383;
}

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))))