Average Error: 0.0 → 0.0
Time: 1.1s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{y + x}\]
\sqrt{x + y}
↓
\sqrt{y + x}
double f(double x, double y) {
        double r613040 = x;
        double r613041 = y;
        double r613042 = r613040 + r613041;
        double r613043 = sqrt(r613042);
        return r613043;
}
↓
double f(double x, double y) {
        double r613044 = y;
        double r613045 = x;
        double r613046 = r613044 + r613045;
        double r613047 = sqrt(r613046);
        return r613047;
}

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

    \[\sqrt{x + y}\]

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019156 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  (sqrt (+ x y)))