Average Error: 0.0 → 0.0
Time: 19.4s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{y + x}\]
\sqrt{x + y}
↓
\sqrt{y + x}
double f(double x, double y) {
        double r2595172 = x;
        double r2595173 = y;
        double r2595174 = r2595172 + r2595173;
        double r2595175 = sqrt(r2595174);
        return r2595175;
}
↓
double f(double x, double y) {
        double r2595176 = y;
        double r2595177 = x;
        double r2595178 = r2595176 + r2595177;
        double r2595179 = sqrt(r2595178);
        return r2595179;
}

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

    \[\sqrt{x + y}\]

  2. Final simplification0.0

    \[\leadsto \sqrt{y + x}\]

Reproduce

herbie shell --seed 2019168 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  (sqrt (+ x y)))