Average Error: 0.2 → 0.2
Time: 38.4s
Precision: 64
\[\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y\]
↓
\[y \cdot \left(\left(x - \frac{16}{116}\right) \cdot 3\right)\]
\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y
↓
y \cdot \left(\left(x - \frac{16}{116}\right) \cdot 3\right)
double f(double x, double y) {
        double r41652406 = x;
        double r41652407 = 16.0;
        double r41652408 = 116.0;
        double r41652409 = r41652407 / r41652408;
        double r41652410 = r41652406 - r41652409;
        double r41652411 = 3.0;
        double r41652412 = r41652410 * r41652411;
        double r41652413 = y;
        double r41652414 = r41652412 * r41652413;
        return r41652414;
}
↓
double f(double x, double y) {
        double r41652415 = y;
        double r41652416 = x;
        double r41652417 = 16.0;
        double r41652418 = 116.0;
        double r41652419 = r41652417 / r41652418;
        double r41652420 = r41652416 - r41652419;
        double r41652421 = 3.0;
        double r41652422 = r41652420 * r41652421;
        double r41652423 = r41652415 * r41652422;
        return r41652423;
}

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

    \[\leadsto y \cdot \left(\left(x - \frac{16}{116}\right) \cdot 3\right)\]

Reproduce

herbie shell --seed 2019168 
(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))