Average Error: 0.0 → 0.0
Time: 2.6s
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 r33198 = x;
        double r33199 = y;
        double r33200 = r33198 - r33199;
        double r33201 = fabs(r33200);
        double r33202 = sqrt(r33201);
        return r33202;
}
↓
double f(double x, double y) {
        double r33203 = x;
        double r33204 = y;
        double r33205 = r33203 - r33204;
        double r33206 = fabs(r33205);
        double r33207 = sqrt(r33206);
        return r33207;
}

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 2020100 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))