Average Error: 0.1 → 0.1
Time: 7.8s
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 r14148763 = 841.0;
        double r14148764 = 108.0;
        double r14148765 = r14148763 / r14148764;
        double r14148766 = x;
        double r14148767 = r14148765 * r14148766;
        double r14148768 = 4.0;
        double r14148769 = 29.0;
        double r14148770 = r14148768 / r14148769;
        double r14148771 = r14148767 + r14148770;
        return r14148771;
}
↓
double f(double x) {
        double r14148772 = 4.0;
        double r14148773 = 29.0;
        double r14148774 = r14148772 / r14148773;
        double r14148775 = 841.0;
        double r14148776 = 108.0;
        double r14148777 = r14148775 / r14148776;
        double r14148778 = x;
        double r14148779 = r14148777 * r14148778;
        double r14148780 = r14148774 + r14148779;
        return r14148780;
}

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 2019179 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))