Average Error: 0.0 → 0.0
Time: 1.8s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r44860 = x;
        double r44861 = y;
        double r44862 = r44860 + r44861;
        double r44863 = sqrt(r44862);
        return r44863;
}
↓
double f(double x, double y) {
        double r44864 = x;
        double r44865 = y;
        double r44866 = r44864 + r44865;
        double r44867 = sqrt(r44866);
        return r44867;
}

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 2020001 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))