Average Error: 0.0 → 0.0
Time: 6.3s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{y + x}\]
\sqrt{x + y}
↓
\sqrt{y + x}
double f(double x, double y) {
        double r2259984 = x;
        double r2259985 = y;
        double r2259986 = r2259984 + r2259985;
        double r2259987 = sqrt(r2259986);
        return r2259987;
}
↓
double f(double x, double y) {
        double r2259988 = y;
        double r2259989 = x;
        double r2259990 = r2259988 + r2259989;
        double r2259991 = sqrt(r2259990);
        return r2259991;
}

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 2019170 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  (sqrt (+ x y)))