Average Error: 0.2 → 0.2
Time: 12.0s
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 r794575 = x;
        double r794576 = 16.0;
        double r794577 = 116.0;
        double r794578 = r794576 / r794577;
        double r794579 = r794575 - r794578;
        double r794580 = 3.0;
        double r794581 = r794579 * r794580;
        double r794582 = y;
        double r794583 = r794581 * r794582;
        return r794583;
}
↓
double f(double x, double y) {
        double r794584 = y;
        double r794585 = x;
        double r794586 = 16.0;
        double r794587 = 116.0;
        double r794588 = r794586 / r794587;
        double r794589 = r794585 - r794588;
        double r794590 = 3.0;
        double r794591 = r794589 * r794590;
        double r794592 = r794584 * r794591;
        return r794592;
}

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 2019196 +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))