Average Error: 0.1 → 0.1
Time: 12.4s
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 r112830 = 841.0;
        double r112831 = 108.0;
        double r112832 = r112830 / r112831;
        double r112833 = x;
        double r112834 = r112832 * r112833;
        double r112835 = 4.0;
        double r112836 = 29.0;
        double r112837 = r112835 / r112836;
        double r112838 = r112834 + r112837;
        return r112838;
}
↓
double f(double x) {
        double r112839 = 841.0;
        double r112840 = 108.0;
        double r112841 = r112839 / r112840;
        double r112842 = x;
        double r112843 = r112841 * r112842;
        double r112844 = 4.0;
        double r112845 = 29.0;
        double r112846 = r112844 / r112845;
        double r112847 = r112843 + r112846;
        return r112847;
}

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 2019326 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))