Average Error: 0.0 → 0.0
Time: 2.0s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r62185 = x;
        double r62186 = y;
        double r62187 = r62185 + r62186;
        double r62188 = sqrt(r62187);
        return r62188;
}
↓
double f(double x, double y) {
        double r62189 = x;
        double r62190 = y;
        double r62191 = r62189 + r62190;
        double r62192 = sqrt(r62191);
        return r62192;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\sqrt{x + y}\]

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2020021 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))