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 r282330 = 841.0;
        double r282331 = 108.0;
        double r282332 = r282330 / r282331;
        double r282333 = x;
        double r282334 = r282332 * r282333;
        double r282335 = 4.0;
        double r282336 = 29.0;
        double r282337 = r282335 / r282336;
        double r282338 = r282334 + r282337;
        return r282338;
}
↓
double f(double x) {
        double r282339 = 841.0;
        double r282340 = 108.0;
        double r282341 = r282339 / r282340;
        double r282342 = x;
        double r282343 = r282341 * r282342;
        double r282344 = 4.0;
        double r282345 = 29.0;
        double r282346 = r282344 / r282345;
        double r282347 = r282343 + r282346;
        return r282347;
}

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 2019353 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))