Average Error: 0.2 → 0.2
Time: 11.4s
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 r690412 = x;
        double r690413 = 16.0;
        double r690414 = 116.0;
        double r690415 = r690413 / r690414;
        double r690416 = r690412 - r690415;
        double r690417 = 3.0;
        double r690418 = r690416 * r690417;
        double r690419 = y;
        double r690420 = r690418 * r690419;
        return r690420;
}
↓
double f(double x, double y) {
        double r690421 = x;
        double r690422 = 16.0;
        double r690423 = 116.0;
        double r690424 = r690422 / r690423;
        double r690425 = r690421 - r690424;
        double r690426 = 3.0;
        double r690427 = r690425 * r690426;
        double r690428 = y;
        double r690429 = r690427 * r690428;
        return r690429;
}

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 2019303 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLAB from colour-2.3.3, A"
  :precision binary64

  :herbie-target
  (* y (- (* x 3) 0.413793103448275856))

  (* (* (- x (/ 16 116)) 3) y))