Average Error: 0.0 → 0.0
Time: 2.3s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r48205 = x;
        double r48206 = y;
        double r48207 = r48205 + r48206;
        double r48208 = sqrt(r48207);
        return r48208;
}
↓
double f(double x, double y) {
        double r48209 = x;
        double r48210 = y;
        double r48211 = r48209 + r48210;
        double r48212 = sqrt(r48211);
        return r48212;
}

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 2020018 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))