Average Error: 0.1 → 0.1
Time: 13.2s
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 r14284866 = 841.0;
        double r14284867 = 108.0;
        double r14284868 = r14284866 / r14284867;
        double r14284869 = x;
        double r14284870 = r14284868 * r14284869;
        double r14284871 = 4.0;
        double r14284872 = 29.0;
        double r14284873 = r14284871 / r14284872;
        double r14284874 = r14284870 + r14284873;
        return r14284874;
}
↓
double f(double x) {
        double r14284875 = 4.0;
        double r14284876 = 29.0;
        double r14284877 = r14284875 / r14284876;
        double r14284878 = 841.0;
        double r14284879 = 108.0;
        double r14284880 = r14284878 / r14284879;
        double r14284881 = x;
        double r14284882 = r14284880 * r14284881;
        double r14284883 = r14284877 + r14284882;
        return r14284883;
}

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 2019169 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))