Average Error: 0.0 → 0.0
Time: 1.4s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r50600 = x;
        double r50601 = y;
        double r50602 = r50600 + r50601;
        double r50603 = sqrt(r50602);
        return r50603;
}
↓
double f(double x, double y) {
        double r50604 = x;
        double r50605 = y;
        double r50606 = r50604 + r50605;
        double r50607 = sqrt(r50606);
        return r50607;
}

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 2020036 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))