Average Error: 0.0 → 0.0
Time: 3.4s
Precision: 64
\[x - \frac{1}{3}\]
↓
\[x - \frac{1}{3}\]
x - \frac{1}{3}
↓
x - \frac{1}{3}
double f(double x) {
        double r176020 = x;
        double r176021 = 1.0;
        double r176022 = 3.0;
        double r176023 = r176021 / r176022;
        double r176024 = r176020 - r176023;
        return r176024;
}
↓
double f(double x) {
        double r176025 = x;
        double r176026 = 1.0;
        double r176027 = 3.0;
        double r176028 = r176026 / r176027;
        double r176029 = r176025 - r176028;
        return r176029;
}

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 2019235 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, G"
  :precision binary64
  (- x (/ 1 3)))