Average Error: 0.2 → 0.2
Time: 15.8s
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 r45880904 = x;
        double r45880905 = 16.0;
        double r45880906 = 116.0;
        double r45880907 = r45880905 / r45880906;
        double r45880908 = r45880904 - r45880907;
        double r45880909 = 3.0;
        double r45880910 = r45880908 * r45880909;
        double r45880911 = y;
        double r45880912 = r45880910 * r45880911;
        return r45880912;
}
↓
double f(double x, double y) {
        double r45880913 = y;
        double r45880914 = x;
        double r45880915 = 16.0;
        double r45880916 = 116.0;
        double r45880917 = r45880915 / r45880916;
        double r45880918 = r45880914 - r45880917;
        double r45880919 = 3.0;
        double r45880920 = r45880918 * r45880919;
        double r45880921 = r45880913 * r45880920;
        return r45880921;
}

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 2019169 
(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))