Average Error: 0.0 → 0.0
Time: 15.4s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r42019 = x;
        double r42020 = y;
        double r42021 = r42019 + r42020;
        double r42022 = sqrt(r42021);
        return r42022;
}
↓
double f(double x, double y) {
        double r42023 = x;
        double r42024 = y;
        double r42025 = r42023 + r42024;
        double r42026 = sqrt(r42025);
        return r42026;
}

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 2019323 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))