Average Error: 0.2 → 0.2
Time: 2.6s
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 r799270 = x;
        double r799271 = 16.0;
        double r799272 = 116.0;
        double r799273 = r799271 / r799272;
        double r799274 = r799270 - r799273;
        double r799275 = 3.0;
        double r799276 = r799274 * r799275;
        double r799277 = y;
        double r799278 = r799276 * r799277;
        return r799278;
}
↓
double f(double x, double y) {
        double r799279 = x;
        double r799280 = 16.0;
        double r799281 = 116.0;
        double r799282 = r799280 / r799281;
        double r799283 = r799279 - r799282;
        double r799284 = 3.0;
        double r799285 = r799283 * r799284;
        double r799286 = y;
        double r799287 = r799285 * r799286;
        return r799287;
}

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 2020039 +o rules:numerics
(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))