Average Error: 0.0 → 0.0
Time: 361.0ms
Precision: 64
\[x + \frac{1}{3}\]
↓
\[x + \frac{1}{3}\]
x + \frac{1}{3}
↓
x + \frac{1}{3}
double f(double x) {
        double r213151 = x;
        double r213152 = 1.0;
        double r213153 = 3.0;
        double r213154 = r213152 / r213153;
        double r213155 = r213151 + r213154;
        return r213155;
}
↓
double f(double x) {
        double r213156 = x;
        double r213157 = 1.0;
        double r213158 = 3.0;
        double r213159 = r213157 / r213158;
        double r213160 = r213156 + r213159;
        return r213160;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2020036 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  :precision binary64
  (+ x (/ 1 3)))