Average Error: 0.1 → 0.1
Time: 30.9s
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 r13107698 = 841.0;
        double r13107699 = 108.0;
        double r13107700 = r13107698 / r13107699;
        double r13107701 = x;
        double r13107702 = r13107700 * r13107701;
        double r13107703 = 4.0;
        double r13107704 = 29.0;
        double r13107705 = r13107703 / r13107704;
        double r13107706 = r13107702 + r13107705;
        return r13107706;
}
↓
double f(double x) {
        double r13107707 = 4.0;
        double r13107708 = 29.0;
        double r13107709 = r13107707 / r13107708;
        double r13107710 = 841.0;
        double r13107711 = 108.0;
        double r13107712 = r13107710 / r13107711;
        double r13107713 = x;
        double r13107714 = r13107712 * r13107713;
        double r13107715 = r13107709 + r13107714;
        return r13107715;
}

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 2019200 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))