Average Error: 0.2 → 0.2
Time: 9.0s
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 r765604 = x;
        double r765605 = 16.0;
        double r765606 = 116.0;
        double r765607 = r765605 / r765606;
        double r765608 = r765604 - r765607;
        double r765609 = 3.0;
        double r765610 = r765608 * r765609;
        double r765611 = y;
        double r765612 = r765610 * r765611;
        return r765612;
}
↓
double f(double x, double y) {
        double r765613 = x;
        double r765614 = 16.0;
        double r765615 = 116.0;
        double r765616 = r765614 / r765615;
        double r765617 = r765613 - r765616;
        double r765618 = 3.0;
        double r765619 = r765617 * r765618;
        double r765620 = y;
        double r765621 = r765619 * r765620;
        return r765621;
}

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 2019351 +o rules:numerics
(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))