Average Error: 0.2 → 0.2
Time: 12.2s
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 r510458 = x;
        double r510459 = 16.0;
        double r510460 = 116.0;
        double r510461 = r510459 / r510460;
        double r510462 = r510458 - r510461;
        double r510463 = 3.0;
        double r510464 = r510462 * r510463;
        double r510465 = y;
        double r510466 = r510464 * r510465;
        return r510466;
}
↓
double f(double x, double y) {
        double r510467 = x;
        double r510468 = 16.0;
        double r510469 = 116.0;
        double r510470 = r510468 / r510469;
        double r510471 = r510467 - r510470;
        double r510472 = 3.0;
        double r510473 = r510471 * r510472;
        double r510474 = y;
        double r510475 = r510473 * r510474;
        return r510475;
}

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 2019323 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLAB from colour-2.3.3, A"
  :precision binary64

  :herbie-target
  (* y (- (* x 3) 0.41379310344827586))

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