Average Error: 0.2 → 0.2
Time: 14.8s
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 r575734 = x;
        double r575735 = 16.0;
        double r575736 = 116.0;
        double r575737 = r575735 / r575736;
        double r575738 = r575734 - r575737;
        double r575739 = 3.0;
        double r575740 = r575738 * r575739;
        double r575741 = y;
        double r575742 = r575740 * r575741;
        return r575742;
}
↓
double f(double x, double y) {
        double r575743 = x;
        double r575744 = 16.0;
        double r575745 = 116.0;
        double r575746 = r575744 / r575745;
        double r575747 = r575743 - r575746;
        double r575748 = 3.0;
        double r575749 = r575747 * r575748;
        double r575750 = y;
        double r575751 = r575749 * r575750;
        return r575751;
}

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 2019325 
(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))