Average Error: 0.0 → 0.0
Time: 570.0ms
Precision: 64
\[x + \frac{1}{3}\]
↓
\[\frac{1}{3} + x\]
x + \frac{1}{3}
↓
\frac{1}{3} + x
double f(double x) {
        double r10153084 = x;
        double r10153085 = 1.0;
        double r10153086 = 3.0;
        double r10153087 = r10153085 / r10153086;
        double r10153088 = r10153084 + r10153087;
        return r10153088;
}
↓
double f(double x) {
        double r10153089 = 1.0;
        double r10153090 = 3.0;
        double r10153091 = r10153089 / r10153090;
        double r10153092 = x;
        double r10153093 = r10153091 + r10153092;
        return r10153093;
}

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

    \[\leadsto \frac{1}{3} + x\]

Reproduce

herbie shell --seed 2019172 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  (+ x (/ 1.0 3.0)))