Average Error: 0.1 → 0.1
Time: 2.7s
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 r225593 = 841.0;
        double r225594 = 108.0;
        double r225595 = r225593 / r225594;
        double r225596 = x;
        double r225597 = r225595 * r225596;
        double r225598 = 4.0;
        double r225599 = 29.0;
        double r225600 = r225598 / r225599;
        double r225601 = r225597 + r225600;
        return r225601;
}
↓
double f(double x) {
        double r225602 = 841.0;
        double r225603 = 108.0;
        double r225604 = r225602 / r225603;
        double r225605 = x;
        double r225606 = r225604 * r225605;
        double r225607 = 4.0;
        double r225608 = 29.0;
        double r225609 = r225607 / r225608;
        double r225610 = r225606 + r225609;
        return r225610;
}

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 2020081 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))