Average Error: 0.0 → 0.0
Time: 1.2s
Precision: 64
\[x - \frac{1}{3}\]
↓
\[x - \frac{1}{3}\]
x - \frac{1}{3}
↓
x - \frac{1}{3}
double f(double x) {
        double r218118 = x;
        double r218119 = 1.0;
        double r218120 = 3.0;
        double r218121 = r218119 / r218120;
        double r218122 = r218118 - r218121;
        return r218122;
}
↓
double f(double x) {
        double r218123 = x;
        double r218124 = 1.0;
        double r218125 = 3.0;
        double r218126 = r218124 / r218125;
        double r218127 = r218123 - r218126;
        return r218127;
}

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 2020060 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, G"
  :precision binary64
  (- x (/ 1 3)))