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 r44554 = x;
        double r44555 = y;
        double r44556 = r44554 + r44555;
        double r44557 = sqrt(r44556);
        return r44557;
}
↓
double f(double x, double y) {
        double r44558 = x;
        double r44559 = y;
        double r44560 = r44558 + r44559;
        double r44561 = sqrt(r44560);
        return r44561;
}

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 2020034 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))