Average Error: 0.2 → 0.2
Time: 12.3s
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 r445447 = x;
        double r445448 = 16.0;
        double r445449 = 116.0;
        double r445450 = r445448 / r445449;
        double r445451 = r445447 - r445450;
        double r445452 = 3.0;
        double r445453 = r445451 * r445452;
        double r445454 = y;
        double r445455 = r445453 * r445454;
        return r445455;
}
↓
double f(double x, double y) {
        double r445456 = x;
        double r445457 = 16.0;
        double r445458 = 116.0;
        double r445459 = r445457 / r445458;
        double r445460 = r445456 - r445459;
        double r445461 = 3.0;
        double r445462 = r445460 * r445461;
        double r445463 = y;
        double r445464 = r445462 * r445463;
        return r445464;
}

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 +o rules:numerics
(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))