Average Error: 0.2 → 0.2
Time: 5.1s
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 r798621 = x;
        double r798622 = 16.0;
        double r798623 = 116.0;
        double r798624 = r798622 / r798623;
        double r798625 = r798621 - r798624;
        double r798626 = 3.0;
        double r798627 = r798625 * r798626;
        double r798628 = y;
        double r798629 = r798627 * r798628;
        return r798629;
}
↓
double f(double x, double y) {
        double r798630 = x;
        double r798631 = 16.0;
        double r798632 = 116.0;
        double r798633 = r798631 / r798632;
        double r798634 = r798630 - r798633;
        double r798635 = 3.0;
        double r798636 = r798634 * r798635;
        double r798637 = y;
        double r798638 = r798636 * r798637;
        return r798638;
}

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 2019353 
(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))