Average Error: 0.2 → 0.2
Time: 12.5s
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 r692820 = x;
        double r692821 = 16.0;
        double r692822 = 116.0;
        double r692823 = r692821 / r692822;
        double r692824 = r692820 - r692823;
        double r692825 = 3.0;
        double r692826 = r692824 * r692825;
        double r692827 = y;
        double r692828 = r692826 * r692827;
        return r692828;
}
↓
double f(double x, double y) {
        double r692829 = y;
        double r692830 = x;
        double r692831 = 16.0;
        double r692832 = 116.0;
        double r692833 = r692831 / r692832;
        double r692834 = r692830 - r692833;
        double r692835 = 3.0;
        double r692836 = r692834 * r692835;
        double r692837 = r692829 * r692836;
        return r692837;
}

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 2019179 +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))