Average Error: 0.0 → 0.0
Time: 11.5s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r31488 = x;
        double r31489 = y;
        double r31490 = r31488 + r31489;
        double r31491 = sqrt(r31490);
        return r31491;
}
↓
double f(double x, double y) {
        double r31492 = x;
        double r31493 = y;
        double r31494 = r31492 + r31493;
        double r31495 = sqrt(r31494);
        return r31495;
}

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 2019326 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))