Average Error: 0.0 → 0.0
Time: 623.0ms
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r30642 = x;
        double r30643 = y;
        double r30644 = r30642 + r30643;
        double r30645 = sqrt(r30644);
        return r30645;
}
↓
double f(double x, double y) {
        double r30646 = x;
        double r30647 = y;
        double r30648 = r30646 + r30647;
        double r30649 = sqrt(r30648);
        return r30649;
}

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 2019346 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))