Average Error: 0.2 → 0.2
Time: 17.4s
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 r42893509 = x;
        double r42893510 = 16.0;
        double r42893511 = 116.0;
        double r42893512 = r42893510 / r42893511;
        double r42893513 = r42893509 - r42893512;
        double r42893514 = 3.0;
        double r42893515 = r42893513 * r42893514;
        double r42893516 = y;
        double r42893517 = r42893515 * r42893516;
        return r42893517;
}
↓
double f(double x, double y) {
        double r42893518 = y;
        double r42893519 = x;
        double r42893520 = 16.0;
        double r42893521 = 116.0;
        double r42893522 = r42893520 / r42893521;
        double r42893523 = r42893519 - r42893522;
        double r42893524 = 3.0;
        double r42893525 = r42893523 * r42893524;
        double r42893526 = r42893518 * r42893525;
        return r42893526;
}

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 2019170 
(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))