Average Error: 0.0 → 0.0
Time: 1.1s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r21472 = x;
        double r21473 = y;
        double r21474 = r21472 + r21473;
        double r21475 = sqrt(r21474);
        return r21475;
}
↓
double f(double x, double y) {
        double r21476 = x;
        double r21477 = y;
        double r21478 = r21476 + r21477;
        double r21479 = sqrt(r21478);
        return r21479;
}

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)))