Average Error: 0.1 → 0.1
Time: 7.7s
Precision: 64
\[\frac{841}{108} \cdot x + \frac{4}{29}\]
↓
\[\frac{4}{29} + \frac{841}{108} \cdot x\]
\frac{841}{108} \cdot x + \frac{4}{29}
↓
\frac{4}{29} + \frac{841}{108} \cdot x
double f(double x) {
        double r11407302 = 841.0;
        double r11407303 = 108.0;
        double r11407304 = r11407302 / r11407303;
        double r11407305 = x;
        double r11407306 = r11407304 * r11407305;
        double r11407307 = 4.0;
        double r11407308 = 29.0;
        double r11407309 = r11407307 / r11407308;
        double r11407310 = r11407306 + r11407309;
        return r11407310;
}
↓
double f(double x) {
        double r11407311 = 4.0;
        double r11407312 = 29.0;
        double r11407313 = r11407311 / r11407312;
        double r11407314 = 841.0;
        double r11407315 = 108.0;
        double r11407316 = r11407314 / r11407315;
        double r11407317 = x;
        double r11407318 = r11407316 * r11407317;
        double r11407319 = r11407313 + r11407318;
        return r11407319;
}

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

    \[\leadsto \frac{4}{29} + \frac{841}{108} \cdot x\]

Reproduce

herbie shell --seed 2019174 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))