Average Error: 0.0 → 0.0
Time: 31.7s
Precision: 64
\[x + \frac{1.0}{3.0}\]
↓
\[\frac{1.0}{3.0} + x\]
x + \frac{1.0}{3.0}
↓
\frac{1.0}{3.0} + x
double f(double x) {
        double r14363194 = x;
        double r14363195 = 1.0;
        double r14363196 = 3.0;
        double r14363197 = r14363195 / r14363196;
        double r14363198 = r14363194 + r14363197;
        return r14363198;
}
↓
double f(double x) {
        double r14363199 = 1.0;
        double r14363200 = 3.0;
        double r14363201 = r14363199 / r14363200;
        double r14363202 = x;
        double r14363203 = r14363201 + r14363202;
        return r14363203;
}

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

    \[x + \frac{1.0}{3.0}\]

  2. Final simplification0.0

    \[\leadsto \frac{1.0}{3.0} + x\]

Reproduce

herbie shell --seed 2019165 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  (+ x (/ 1.0 3.0)))