Average Error: 0.0 → 0.0
Time: 10.6s
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 r12429017 = x;
        double r12429018 = 1.0;
        double r12429019 = 3.0;
        double r12429020 = r12429018 / r12429019;
        double r12429021 = r12429017 + r12429020;
        return r12429021;
}
↓
double f(double x) {
        double r12429022 = 1.0;
        double r12429023 = 3.0;
        double r12429024 = r12429022 / r12429023;
        double r12429025 = x;
        double r12429026 = r12429024 + r12429025;
        return r12429026;
}

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 2019158 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  (+ x (/ 1.0 3.0)))