Average Error: 0.0 → 0.0
Time: 9.5s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{y + x}\]
\sqrt{x + y}
↓
\sqrt{y + x}
double f(double x, double y) {
        double r2520007 = x;
        double r2520008 = y;
        double r2520009 = r2520007 + r2520008;
        double r2520010 = sqrt(r2520009);
        return r2520010;
}
↓
double f(double x, double y) {
        double r2520011 = y;
        double r2520012 = x;
        double r2520013 = r2520011 + r2520012;
        double r2520014 = sqrt(r2520013);
        return r2520014;
}

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 2019164 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  (sqrt (+ x y)))