Average Error: 0.0 → 0.0
Time: 3.5s
Precision: 64
\[x - \frac{1}{3}\]
↓
\[x - \frac{1}{3}\]
x - \frac{1}{3}
↓
x - \frac{1}{3}
double f(double x) {
        double r209040 = x;
        double r209041 = 1.0;
        double r209042 = 3.0;
        double r209043 = r209041 / r209042;
        double r209044 = r209040 - r209043;
        return r209044;
}
↓
double f(double x) {
        double r209045 = x;
        double r209046 = 1.0;
        double r209047 = 3.0;
        double r209048 = r209046 / r209047;
        double r209049 = r209045 - r209048;
        return r209049;
}

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 2020045 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, G"
  :precision binary64
  (- x (/ 1 3)))