Average Error: 0.1 → 0.1
Time: 11.1s
Precision: 64
\[\frac{841}{108} \cdot x + \frac{4}{29}\]
↓
\[\frac{4}{29} + \frac{841}{108} \cdot x\]
\frac{841}{108} \cdot x + \frac{4}{29}
↓
\frac{4}{29} + \frac{841}{108} \cdot x
double f(double x) {
        double r12730901 = 841.0;
        double r12730902 = 108.0;
        double r12730903 = r12730901 / r12730902;
        double r12730904 = x;
        double r12730905 = r12730903 * r12730904;
        double r12730906 = 4.0;
        double r12730907 = 29.0;
        double r12730908 = r12730906 / r12730907;
        double r12730909 = r12730905 + r12730908;
        return r12730909;
}
↓
double f(double x) {
        double r12730910 = 4.0;
        double r12730911 = 29.0;
        double r12730912 = r12730910 / r12730911;
        double r12730913 = 841.0;
        double r12730914 = 108.0;
        double r12730915 = r12730913 / r12730914;
        double r12730916 = x;
        double r12730917 = r12730915 * r12730916;
        double r12730918 = r12730912 + r12730917;
        return r12730918;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\frac{841}{108} \cdot x + \frac{4}{29}\]

  2. Final simplification0.1

    \[\leadsto \frac{4}{29} + \frac{841}{108} \cdot x\]

Reproduce

herbie shell --seed 2019172 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))