Average Error: 0.2 → 0.2
Time: 15.3s
Precision: 64
\[\left(\left(x - \frac{16.0}{116.0}\right) \cdot 3.0\right) \cdot y\]
↓
\[y \cdot \left(\left(x - \frac{16.0}{116.0}\right) \cdot 3.0\right)\]
\left(\left(x - \frac{16.0}{116.0}\right) \cdot 3.0\right) \cdot y
↓
y \cdot \left(\left(x - \frac{16.0}{116.0}\right) \cdot 3.0\right)
double f(double x, double y) {
        double r37739524 = x;
        double r37739525 = 16.0;
        double r37739526 = 116.0;
        double r37739527 = r37739525 / r37739526;
        double r37739528 = r37739524 - r37739527;
        double r37739529 = 3.0;
        double r37739530 = r37739528 * r37739529;
        double r37739531 = y;
        double r37739532 = r37739530 * r37739531;
        return r37739532;
}
↓
double f(double x, double y) {
        double r37739533 = y;
        double r37739534 = x;
        double r37739535 = 16.0;
        double r37739536 = 116.0;
        double r37739537 = r37739535 / r37739536;
        double r37739538 = r37739534 - r37739537;
        double r37739539 = 3.0;
        double r37739540 = r37739538 * r37739539;
        double r37739541 = r37739533 * r37739540;
        return r37739541;
}

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
\[y \cdot \left(x \cdot 3.0 - 0.41379310344827586\right)\]

Derivation

  1. Initial program 0.2

    \[\left(\left(x - \frac{16.0}{116.0}\right) \cdot 3.0\right) \cdot y\]

  2. Final simplification0.2

    \[\leadsto y \cdot \left(\left(x - \frac{16.0}{116.0}\right) \cdot 3.0\right)\]

Reproduce

herbie shell --seed 2019162 
(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))