Average Error: 0.0 → 0.0
Time: 1.0s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{y + x}\]
\sqrt{x + y}
↓
\sqrt{y + x}
double f(double x, double y) {
        double r3123378 = x;
        double r3123379 = y;
        double r3123380 = r3123378 + r3123379;
        double r3123381 = sqrt(r3123380);
        return r3123381;
}
↓
double f(double x, double y) {
        double r3123382 = y;
        double r3123383 = x;
        double r3123384 = r3123382 + r3123383;
        double r3123385 = sqrt(r3123384);
        return r3123385;
}

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 2019169 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  (sqrt (+ x y)))