Average Error: 0.2 → 0.2
Time: 17.3s
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 r33323491 = x;
        double r33323492 = 16.0;
        double r33323493 = 116.0;
        double r33323494 = r33323492 / r33323493;
        double r33323495 = r33323491 - r33323494;
        double r33323496 = 3.0;
        double r33323497 = r33323495 * r33323496;
        double r33323498 = y;
        double r33323499 = r33323497 * r33323498;
        return r33323499;
}
↓
double f(double x, double y) {
        double r33323500 = y;
        double r33323501 = x;
        double r33323502 = 16.0;
        double r33323503 = 116.0;
        double r33323504 = r33323502 / r33323503;
        double r33323505 = r33323501 - r33323504;
        double r33323506 = 3.0;
        double r33323507 = r33323505 * r33323506;
        double r33323508 = r33323500 * r33323507;
        return r33323508;
}

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 2019171 +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))