Average Error: 0.2 → 0.2
Time: 13.3s
Precision: 64
\[\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y\]
↓
\[\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y\]
\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y
↓
\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y
double f(double x, double y) {
        double r564289 = x;
        double r564290 = 16.0;
        double r564291 = 116.0;
        double r564292 = r564290 / r564291;
        double r564293 = r564289 - r564292;
        double r564294 = 3.0;
        double r564295 = r564293 * r564294;
        double r564296 = y;
        double r564297 = r564295 * r564296;
        return r564297;
}
↓
double f(double x, double y) {
        double r564298 = x;
        double r564299 = 16.0;
        double r564300 = 116.0;
        double r564301 = r564299 / r564300;
        double r564302 = r564298 - r564301;
        double r564303 = 3.0;
        double r564304 = r564302 * r564303;
        double r564305 = y;
        double r564306 = r564304 * r564305;
        return r564306;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.2
Target0.2
Herbie0.2
\[y \cdot \left(x \cdot 3 - 0.4137931034482758563264326312491903081536\right)\]

Derivation

  1. Initial program 0.2

    \[\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y\]

  2. Final simplification0.2

    \[\leadsto \left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y\]

Reproduce

herbie shell --seed 2019326 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLAB from colour-2.3.3, A"
  :precision binary64

  :herbie-target
  (* y (- (* x 3) 0.41379310344827586))

  (* (* (- x (/ 16 116)) 3) y))