Average Error: 0.0 → 0.0
Time: 4.8s
Precision: 64
\[x + \frac{1}{3}\]
↓
\[x + \frac{1}{3}\]
x + \frac{1}{3}
↓
x + \frac{1}{3}
double f(double x) {
        double r234671 = x;
        double r234672 = 1.0;
        double r234673 = 3.0;
        double r234674 = r234672 / r234673;
        double r234675 = r234671 + r234674;
        return r234675;
}
↓
double f(double x) {
        double r234676 = x;
        double r234677 = 1.0;
        double r234678 = 3.0;
        double r234679 = r234677 / r234678;
        double r234680 = r234676 + r234679;
        return r234680;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[x + \frac{1}{3}\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\frac{1}{3} + x}\]

  3. Final simplification0.0

    \[\leadsto x + \frac{1}{3}\]

Reproduce

herbie shell --seed 2019194 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  (+ x (/ 1.0 3.0)))