Average Error: 0.0 → 0.0
Time: 4.4s
Precision: 64
\[x - \frac{1}{3}\]
↓
\[x - \frac{1}{3}\]
x - \frac{1}{3}
↓
x - \frac{1}{3}
double f(double x) {
        double r132105 = x;
        double r132106 = 1.0;
        double r132107 = 3.0;
        double r132108 = r132106 / r132107;
        double r132109 = r132105 - r132108;
        return r132109;
}
↓
double f(double x) {
        double r132110 = x;
        double r132111 = 1.0;
        double r132112 = 3.0;
        double r132113 = r132111 / r132112;
        double r132114 = r132110 - r132113;
        return r132114;
}

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 2019208 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, G"
  :precision binary64
  (- x (/ 1 3)))