Average Error: 0.0 → 0.0
Time: 7.4s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r48727 = x;
        double r48728 = y;
        double r48729 = r48727 + r48728;
        double r48730 = sqrt(r48729);
        return r48730;
}
↓
double f(double x, double y) {
        double r48731 = x;
        double r48732 = y;
        double r48733 = r48731 + r48732;
        double r48734 = sqrt(r48733);
        return r48734;
}

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 2019303 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))