Average Error: 0.2 → 0.2
Time: 38.6s
Precision: 64
\[\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y\]
↓
\[y \cdot \left(\left(x - \frac{16}{116}\right) \cdot 3\right)\]
\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y
↓
y \cdot \left(\left(x - \frac{16}{116}\right) \cdot 3\right)
double f(double x, double y) {
        double r35291162 = x;
        double r35291163 = 16.0;
        double r35291164 = 116.0;
        double r35291165 = r35291163 / r35291164;
        double r35291166 = r35291162 - r35291165;
        double r35291167 = 3.0;
        double r35291168 = r35291166 * r35291167;
        double r35291169 = y;
        double r35291170 = r35291168 * r35291169;
        return r35291170;
}
↓
double f(double x, double y) {
        double r35291171 = y;
        double r35291172 = x;
        double r35291173 = 16.0;
        double r35291174 = 116.0;
        double r35291175 = r35291173 / r35291174;
        double r35291176 = r35291172 - r35291175;
        double r35291177 = 3.0;
        double r35291178 = r35291176 * r35291177;
        double r35291179 = r35291171 * r35291178;
        return r35291179;
}

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

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

Reproduce

herbie shell --seed 2019168 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.CIE:cieLAB from colour-2.3.3, A"

  :herbie-target
  (* y (- (* x 3.0) 0.41379310344827586))

  (* (* (- x (/ 16.0 116.0)) 3.0) y))