Average Error: 0.2 → 0.2
Time: 9.7s
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 r16781504 = x;
        double r16781505 = 16.0;
        double r16781506 = 116.0;
        double r16781507 = r16781505 / r16781506;
        double r16781508 = r16781504 - r16781507;
        double r16781509 = 3.0;
        double r16781510 = r16781508 * r16781509;
        double r16781511 = y;
        double r16781512 = r16781510 * r16781511;
        return r16781512;
}
↓
double f(double x, double y) {
        double r16781513 = y;
        double r16781514 = x;
        double r16781515 = 16.0;
        double r16781516 = 116.0;
        double r16781517 = r16781515 / r16781516;
        double r16781518 = r16781514 - r16781517;
        double r16781519 = 3.0;
        double r16781520 = r16781518 * r16781519;
        double r16781521 = r16781513 * r16781520;
        return r16781521;
}

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 2019156 
(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))