Average Error: 0.1 → 0.1
Time: 1.9s
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 r244264 = 841.0;
        double r244265 = 108.0;
        double r244266 = r244264 / r244265;
        double r244267 = x;
        double r244268 = r244266 * r244267;
        double r244269 = 4.0;
        double r244270 = 29.0;
        double r244271 = r244269 / r244270;
        double r244272 = r244268 + r244271;
        return r244272;
}
↓
double f(double x) {
        double r244273 = 841.0;
        double r244274 = 108.0;
        double r244275 = r244273 / r244274;
        double r244276 = x;
        double r244277 = r244275 * r244276;
        double r244278 = 4.0;
        double r244279 = 29.0;
        double r244280 = r244278 / r244279;
        double r244281 = r244277 + r244280;
        return r244281;
}

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 2019304 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))