Average Error: 0.2 → 0.2
Time: 4.2s
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 r826317 = x;
        double r826318 = 16.0;
        double r826319 = 116.0;
        double r826320 = r826318 / r826319;
        double r826321 = r826317 - r826320;
        double r826322 = 3.0;
        double r826323 = r826321 * r826322;
        double r826324 = y;
        double r826325 = r826323 * r826324;
        return r826325;
}
↓
double f(double x, double y) {
        double r826326 = x;
        double r826327 = 16.0;
        double r826328 = 116.0;
        double r826329 = r826327 / r826328;
        double r826330 = r826326 - r826329;
        double r826331 = 3.0;
        double r826332 = r826330 * r826331;
        double r826333 = y;
        double r826334 = r826332 * r826333;
        return r826334;
}

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
\[y \cdot \left(x \cdot 3 - 0.413793103448275856\right)\]

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 2020047 
(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))