Average Error: 0.0 → 0.0
Time: 8.8s
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 r2214268 = x;
        double r2214269 = y;
        double r2214270 = r2214268 - r2214269;
        double r2214271 = fabs(r2214270);
        double r2214272 = sqrt(r2214271);
        return r2214272;
}
↓
double f(double x, double y) {
        double r2214273 = x;
        double r2214274 = y;
        double r2214275 = r2214273 - r2214274;
        double r2214276 = fabs(r2214275);
        double r2214277 = sqrt(r2214276);
        return r2214277;
}

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 2019179 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))