Average Error: 0.0 → 0.0
Time: 2.5s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r44735 = x;
        double r44736 = y;
        double r44737 = r44735 + r44736;
        double r44738 = sqrt(r44737);
        return r44738;
}
↓
double f(double x, double y) {
        double r44739 = x;
        double r44740 = y;
        double r44741 = r44739 + r44740;
        double r44742 = sqrt(r44741);
        return r44742;
}

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 2020020 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))