Data.Colour.CIE:cieLABView from colour-2.3.3, A

Average Error: 0.1 → 0.1

Time: 5.5s

Precision: 64

• Falling back on racket egraph because egg-herbie package not installed

Math

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

↓

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

C

double f(double x) {
        double r355223 = 841.0;
        double r355224 = 108.0;
        double r355225 = r355223 / r355224;
        double r355226 = x;
        double r355227 = r355225 * r355226;
        double r355228 = 4.0;
        double r355229 = 29.0;
        double r355230 = r355228 / r355229;
        double r355231 = r355227 + r355230;
        return r355231;
}

↓

double f(double x) {
        double r355232 = 841.0;
        double r355233 = 108.0;
        double r355234 = r355232 / r355233;
        double r355235 = x;
        double r355236 = r355234 * r355235;
        double r355237 = 4.0;
        double r355238 = 29.0;
        double r355239 = r355237 / r355238;
        double r355240 = r355236 + r355239;
        return r355240;
}

Error

Bits error versus x

Derivation

1. Initial program 0.1

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

2. Final simplification 0.1

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

Reproduce

herbie shell --seed 2020045 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))