Average Error: 0.0 → 0.0
Time: 10.8s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r42176 = x;
        double r42177 = y;
        double r42178 = r42176 + r42177;
        double r42179 = sqrt(r42178);
        return r42179;
}
↓
double f(double x, double y) {
        double r42180 = x;
        double r42181 = y;
        double r42182 = r42180 + r42181;
        double r42183 = sqrt(r42182);
        return r42183;
}

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)))