Average Error: 0.2 → 0.2
Time: 5.4s
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 r856049 = x;
        double r856050 = 16.0;
        double r856051 = 116.0;
        double r856052 = r856050 / r856051;
        double r856053 = r856049 - r856052;
        double r856054 = 3.0;
        double r856055 = r856053 * r856054;
        double r856056 = y;
        double r856057 = r856055 * r856056;
        return r856057;
}
↓
double f(double x, double y) {
        double r856058 = x;
        double r856059 = 16.0;
        double r856060 = 116.0;
        double r856061 = r856059 / r856060;
        double r856062 = r856058 - r856061;
        double r856063 = 3.0;
        double r856064 = r856062 * r856063;
        double r856065 = y;
        double r856066 = r856064 * r856065;
        return r856066;
}

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))