Average Error: 0.2 → 0.2
Time: 13.2s
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 r539524 = x;
        double r539525 = 16.0;
        double r539526 = 116.0;
        double r539527 = r539525 / r539526;
        double r539528 = r539524 - r539527;
        double r539529 = 3.0;
        double r539530 = r539528 * r539529;
        double r539531 = y;
        double r539532 = r539530 * r539531;
        return r539532;
}
↓
double f(double x, double y) {
        double r539533 = x;
        double r539534 = 16.0;
        double r539535 = 116.0;
        double r539536 = r539534 / r539535;
        double r539537 = r539533 - r539536;
        double r539538 = 3.0;
        double r539539 = r539537 * r539538;
        double r539540 = y;
        double r539541 = r539539 * r539540;
        return r539541;
}

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 2019326 +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))