Average Error: 0.2 → 0.2
Time: 16.9s
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 r536708 = x;
        double r536709 = 16.0;
        double r536710 = 116.0;
        double r536711 = r536709 / r536710;
        double r536712 = r536708 - r536711;
        double r536713 = 3.0;
        double r536714 = r536712 * r536713;
        double r536715 = y;
        double r536716 = r536714 * r536715;
        return r536716;
}
↓
double f(double x, double y) {
        double r536717 = x;
        double r536718 = 16.0;
        double r536719 = 116.0;
        double r536720 = r536718 / r536719;
        double r536721 = r536717 - r536720;
        double r536722 = 3.0;
        double r536723 = r536721 * r536722;
        double r536724 = y;
        double r536725 = r536723 * r536724;
        return r536725;
}

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 2019303 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.CIE:cieLAB from colour-2.3.3, A"
  :precision binary64

  :herbie-target
  (* y (- (* x 3) 0.413793103448275856))

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