Average Error: 0.1 → 0.1
Time: 1.2s
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 r362676 = 841.0;
        double r362677 = 108.0;
        double r362678 = r362676 / r362677;
        double r362679 = x;
        double r362680 = r362678 * r362679;
        double r362681 = 4.0;
        double r362682 = 29.0;
        double r362683 = r362681 / r362682;
        double r362684 = r362680 + r362683;
        return r362684;
}
↓
double f(double x) {
        double r362685 = 841.0;
        double r362686 = 108.0;
        double r362687 = r362685 / r362686;
        double r362688 = x;
        double r362689 = r362687 * r362688;
        double r362690 = 4.0;
        double r362691 = 29.0;
        double r362692 = r362690 / r362691;
        double r362693 = r362689 + r362692;
        return r362693;
}

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 2020046 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))