Average Error: 0.2 → 0.2
Time: 17.1s
Precision: 64
\[\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y\]
↓
\[y \cdot \left(\left(x - \frac{16}{116}\right) \cdot 3\right)\]
\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y
↓
y \cdot \left(\left(x - \frac{16}{116}\right) \cdot 3\right)
double f(double x, double y) {
        double r40800076 = x;
        double r40800077 = 16.0;
        double r40800078 = 116.0;
        double r40800079 = r40800077 / r40800078;
        double r40800080 = r40800076 - r40800079;
        double r40800081 = 3.0;
        double r40800082 = r40800080 * r40800081;
        double r40800083 = y;
        double r40800084 = r40800082 * r40800083;
        return r40800084;
}
↓
double f(double x, double y) {
        double r40800085 = y;
        double r40800086 = x;
        double r40800087 = 16.0;
        double r40800088 = 116.0;
        double r40800089 = r40800087 / r40800088;
        double r40800090 = r40800086 - r40800089;
        double r40800091 = 3.0;
        double r40800092 = r40800090 * r40800091;
        double r40800093 = r40800085 * r40800092;
        return r40800093;
}

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

    \[\leadsto y \cdot \left(\left(x - \frac{16}{116}\right) \cdot 3\right)\]

Reproduce

herbie shell --seed 2019172 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLAB from colour-2.3.3, A"

  :herbie-target
  (* y (- (* x 3.0) 0.41379310344827586))

  (* (* (- x (/ 16.0 116.0)) 3.0) y))