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 r5072 = x;
        double r5073 = 16.0;
        double r5074 = 116.0;
        double r5075 = r5073 / r5074;
        double r5076 = r5072 - r5075;
        double r5077 = 3.0;
        double r5078 = r5076 * r5077;
        double r5079 = y;
        double r5080 = r5078 * r5079;
        return r5080;
}
↓
double f(double x, double y) {
        double r5081 = x;
        double r5082 = 16.0;
        double r5083 = 116.0;
        double r5084 = r5082 / r5083;
        double r5085 = r5081 - r5084;
        double r5086 = 3.0;
        double r5087 = r5085 * r5086;
        double r5088 = y;
        double r5089 = r5087 * r5088;
        return r5089;
}

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
\[y \cdot \left(x \cdot 3 - 0.413793103448275856\right)\]

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 2020025 
(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))