Average Error: 0.0 → 0.0
Time: 10.3s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r39478 = x;
        double r39479 = y;
        double r39480 = r39478 + r39479;
        double r39481 = sqrt(r39480);
        return r39481;
}
↓
double f(double x, double y) {
        double r39482 = x;
        double r39483 = y;
        double r39484 = r39482 + r39483;
        double r39485 = sqrt(r39484);
        return r39485;
}

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 2019303 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))