Average Error: 0.1 → 0.1
Time: 10.9s
Precision: 64
\[\frac{841}{108} \cdot x + \frac{4}{29}\]
↓
\[\frac{841}{108} \cdot x + \frac{4}{29}\]
\frac{841}{108} \cdot x + \frac{4}{29}
↓
\frac{841}{108} \cdot x + \frac{4}{29}
double f(double x) {
        double r140679 = 841.0;
        double r140680 = 108.0;
        double r140681 = r140679 / r140680;
        double r140682 = x;
        double r140683 = r140681 * r140682;
        double r140684 = 4.0;
        double r140685 = 29.0;
        double r140686 = r140684 / r140685;
        double r140687 = r140683 + r140686;
        return r140687;
}
↓
double f(double x) {
        double r140688 = 841.0;
        double r140689 = 108.0;
        double r140690 = r140688 / r140689;
        double r140691 = x;
        double r140692 = r140690 * r140691;
        double r140693 = 4.0;
        double r140694 = 29.0;
        double r140695 = r140693 / r140694;
        double r140696 = r140692 + r140695;
        return r140696;
}

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

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

Reproduce

herbie shell --seed 2019294 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))