Average Error: 0.0 → 0.0
Time: 10.5s
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 r1803214 = x;
        double r1803215 = y;
        double r1803216 = r1803214 - r1803215;
        double r1803217 = fabs(r1803216);
        double r1803218 = sqrt(r1803217);
        return r1803218;
}

double f(double x, double y) {
        double r1803219 = x;
        double r1803220 = y;
        double r1803221 = r1803219 - r1803220;
        double r1803222 = fabs(r1803221);
        double r1803223 = sqrt(r1803222);
        return r1803223;
}

Error

Bits error versus x

Bits error versus y

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Results

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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 2019163 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))