Average Error: 0.2 → 0.2
Time: 12.8s
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 r472266 = x;
        double r472267 = 16.0;
        double r472268 = 116.0;
        double r472269 = r472267 / r472268;
        double r472270 = r472266 - r472269;
        double r472271 = 3.0;
        double r472272 = r472270 * r472271;
        double r472273 = y;
        double r472274 = r472272 * r472273;
        return r472274;
}
↓
double f(double x, double y) {
        double r472275 = x;
        double r472276 = 16.0;
        double r472277 = 116.0;
        double r472278 = r472276 / r472277;
        double r472279 = r472275 - r472278;
        double r472280 = 3.0;
        double r472281 = r472279 * r472280;
        double r472282 = y;
        double r472283 = r472281 * r472282;
        return r472283;
}

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 2019323 
(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))