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 r1829197 = x;
        double r1829198 = y;
        double r1829199 = r1829197 + r1829198;
        double r1829200 = sqrt(r1829199);
        return r1829200;
}
↓
double f(double x, double y) {
        double r1829201 = y;
        double r1829202 = x;
        double r1829203 = r1829201 + r1829202;
        double r1829204 = sqrt(r1829203);
        return r1829204;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

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Derivation

  1. Initial program 0.0

    \[\sqrt{x + y}\]

  2. Final simplification0.0

    \[\leadsto \sqrt{y + x}\]

Reproduce

herbie shell --seed 2019172 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  (sqrt (+ x y)))