Average Error: 0.2 → 0.2
Time: 14.1s
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 r42263297 = x;
        double r42263298 = 16.0;
        double r42263299 = 116.0;
        double r42263300 = r42263298 / r42263299;
        double r42263301 = r42263297 - r42263300;
        double r42263302 = 3.0;
        double r42263303 = r42263301 * r42263302;
        double r42263304 = y;
        double r42263305 = r42263303 * r42263304;
        return r42263305;
}
↓
double f(double x, double y) {
        double r42263306 = y;
        double r42263307 = x;
        double r42263308 = 16.0;
        double r42263309 = 116.0;
        double r42263310 = r42263308 / r42263309;
        double r42263311 = r42263307 - r42263310;
        double r42263312 = 3.0;
        double r42263313 = r42263311 * r42263312;
        double r42263314 = r42263306 * r42263313;
        return r42263314;
}

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 2019174 
(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))