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 r272246 = 841.0;
        double r272247 = 108.0;
        double r272248 = r272246 / r272247;
        double r272249 = x;
        double r272250 = r272248 * r272249;
        double r272251 = 4.0;
        double r272252 = 29.0;
        double r272253 = r272251 / r272252;
        double r272254 = r272250 + r272253;
        return r272254;
}
↓
double f(double x) {
        double r272255 = 841.0;
        double r272256 = 108.0;
        double r272257 = r272255 / r272256;
        double r272258 = x;
        double r272259 = r272257 * r272258;
        double r272260 = 4.0;
        double r272261 = 29.0;
        double r272262 = r272260 / r272261;
        double r272263 = r272259 + r272262;
        return r272263;
}

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 2020100 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))