Average Error: 0.2 → 0.2
Time: 13.1s
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 r647072 = x;
        double r647073 = 16.0;
        double r647074 = 116.0;
        double r647075 = r647073 / r647074;
        double r647076 = r647072 - r647075;
        double r647077 = 3.0;
        double r647078 = r647076 * r647077;
        double r647079 = y;
        double r647080 = r647078 * r647079;
        return r647080;
}
↓
double f(double x, double y) {
        double r647081 = x;
        double r647082 = 16.0;
        double r647083 = 116.0;
        double r647084 = r647082 / r647083;
        double r647085 = r647081 - r647084;
        double r647086 = 3.0;
        double r647087 = r647085 * r647086;
        double r647088 = y;
        double r647089 = r647087 * r647088;
        return r647089;
}

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 2019323 
(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))