Average Error: 0.0 → 0.0
Time: 456.0ms
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 r8631500 = x;
        double r8631501 = 1.0;
        double r8631502 = 3.0;
        double r8631503 = r8631501 / r8631502;
        double r8631504 = r8631500 + r8631503;
        return r8631504;
}
↓
double f(double x) {
        double r8631505 = 1.0;
        double r8631506 = 3.0;
        double r8631507 = r8631505 / r8631506;
        double r8631508 = x;
        double r8631509 = r8631507 + r8631508;
        return r8631509;
}

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 2019163 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  (+ x (/ 1.0 3.0)))