Average Error: 0.1 → 0.1
Time: 1.4s
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 r265269 = 841.0;
        double r265270 = 108.0;
        double r265271 = r265269 / r265270;
        double r265272 = x;
        double r265273 = r265271 * r265272;
        double r265274 = 4.0;
        double r265275 = 29.0;
        double r265276 = r265274 / r265275;
        double r265277 = r265273 + r265276;
        return r265277;
}
↓
double f(double x) {
        double r265278 = 841.0;
        double r265279 = 108.0;
        double r265280 = r265278 / r265279;
        double r265281 = x;
        double r265282 = r265280 * r265281;
        double r265283 = 4.0;
        double r265284 = 29.0;
        double r265285 = r265283 / r265284;
        double r265286 = r265282 + r265285;
        return r265286;
}

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 2020049 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))