Average Error: 0.2 → 0.3
Time: 10.4s
Precision: 64
\[\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y\]
↓
\[3 \cdot \left(\left(x - \frac{16}{116}\right) \cdot y\right)\]
\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y
↓
3 \cdot \left(\left(x - \frac{16}{116}\right) \cdot y\right)
double f(double x, double y) {
        double r676080 = x;
        double r676081 = 16.0;
        double r676082 = 116.0;
        double r676083 = r676081 / r676082;
        double r676084 = r676080 - r676083;
        double r676085 = 3.0;
        double r676086 = r676084 * r676085;
        double r676087 = y;
        double r676088 = r676086 * r676087;
        return r676088;
}
↓
double f(double x, double y) {
        double r676089 = 3.0;
        double r676090 = x;
        double r676091 = 16.0;
        double r676092 = 116.0;
        double r676093 = r676091 / r676092;
        double r676094 = r676090 - r676093;
        double r676095 = y;
        double r676096 = r676094 * r676095;
        double r676097 = r676089 * r676096;
        return r676097;
}

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
Herbie0.3
\[y \cdot \left(x \cdot 3 - 0.4137931034482758563264326312491903081536\right)\]

Derivation

  1. Initial program 0.2

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

  2. Simplified0.3

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

  3. Final simplification0.3

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

Reproduce

herbie shell --seed 2019195 
(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))