Average Error: 0.0 → 0.0
Time: 13.5s
Precision: 64
\[x - \frac{1}{3}\]
↓
\[x - \frac{1}{3}\]
x - \frac{1}{3}
↓
x - \frac{1}{3}
double f(double x) {
        double r138105 = x;
        double r138106 = 1.0;
        double r138107 = 3.0;
        double r138108 = r138106 / r138107;
        double r138109 = r138105 - r138108;
        return r138109;
}
↓
double f(double x) {
        double r138110 = x;
        double r138111 = 1.0;
        double r138112 = 3.0;
        double r138113 = r138111 / r138112;
        double r138114 = r138110 - r138113;
        return r138114;
}

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 2019322 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, G"
  :precision binary64
  (- x (/ 1 3)))