Average Error: 0.0 → 0.0
Time: 4.1s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r52720 = x;
        double r52721 = y;
        double r52722 = r52720 + r52721;
        double r52723 = sqrt(r52722);
        return r52723;
}
↓
double f(double x, double y) {
        double r52724 = x;
        double r52725 = y;
        double r52726 = r52724 + r52725;
        double r52727 = sqrt(r52726);
        return r52727;
}

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 2020039 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))