Average Error: 0.0 → 0.0
Time: 7.7s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{y + x}\]
\sqrt{x + y}
↓
\sqrt{y + x}
double f(double x, double y) {
        double r2893939 = x;
        double r2893940 = y;
        double r2893941 = r2893939 + r2893940;
        double r2893942 = sqrt(r2893941);
        return r2893942;
}
↓
double f(double x, double y) {
        double r2893943 = y;
        double r2893944 = x;
        double r2893945 = r2893943 + r2893944;
        double r2893946 = sqrt(r2893945);
        return r2893946;
}

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 2019165 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  (sqrt (+ x y)))