Average Error: 0.0 → 0.0
Time: 1.7s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r45307 = x;
        double r45308 = y;
        double r45309 = r45307 + r45308;
        double r45310 = sqrt(r45309);
        return r45310;
}
↓
double f(double x, double y) {
        double r45311 = x;
        double r45312 = y;
        double r45313 = r45311 + r45312;
        double r45314 = sqrt(r45313);
        return r45314;
}

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. Simplified0.0

    \[\leadsto \color{blue}{\sqrt{y + x}}\]

  3. Final simplification0.0

    \[\leadsto \sqrt{x + y}\]

Reproduce

herbie shell --seed 2019194 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  (sqrt (+ x y)))