Average Error: 0.2 → 0.2
Time: 12.7s
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 r571423 = x;
        double r571424 = 16.0;
        double r571425 = 116.0;
        double r571426 = r571424 / r571425;
        double r571427 = r571423 - r571426;
        double r571428 = 3.0;
        double r571429 = r571427 * r571428;
        double r571430 = y;
        double r571431 = r571429 * r571430;
        return r571431;
}
↓
double f(double x, double y) {
        double r571432 = x;
        double r571433 = 16.0;
        double r571434 = 116.0;
        double r571435 = r571433 / r571434;
        double r571436 = r571432 - r571435;
        double r571437 = 3.0;
        double r571438 = r571436 * r571437;
        double r571439 = y;
        double r571440 = r571438 * r571439;
        return r571440;
}

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 +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))