Average Error: 0.0 → 0.0
Time: 12.1s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{y + x}\]
\sqrt{x + y}
↓
\sqrt{y + x}
double f(double x, double y) {
        double r1185455 = x;
        double r1185456 = y;
        double r1185457 = r1185455 + r1185456;
        double r1185458 = sqrt(r1185457);
        return r1185458;
}
↓
double f(double x, double y) {
        double r1185459 = y;
        double r1185460 = x;
        double r1185461 = r1185459 + r1185460;
        double r1185462 = sqrt(r1185461);
        return r1185462;
}

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 2019163 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  (sqrt (+ x y)))