Average Error: 0.1 → 0.1
Time: 12.9s
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 r15000709 = 841.0;
        double r15000710 = 108.0;
        double r15000711 = r15000709 / r15000710;
        double r15000712 = x;
        double r15000713 = r15000711 * r15000712;
        double r15000714 = 4.0;
        double r15000715 = 29.0;
        double r15000716 = r15000714 / r15000715;
        double r15000717 = r15000713 + r15000716;
        return r15000717;
}
↓
double f(double x) {
        double r15000718 = 4.0;
        double r15000719 = 29.0;
        double r15000720 = r15000718 / r15000719;
        double r15000721 = 841.0;
        double r15000722 = 108.0;
        double r15000723 = r15000721 / r15000722;
        double r15000724 = x;
        double r15000725 = r15000723 * r15000724;
        double r15000726 = r15000720 + r15000725;
        return r15000726;
}

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 2019174 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))