Average Error: 0.2 → 0.2
Time: 18.4s
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 r666576 = x;
        double r666577 = 16.0;
        double r666578 = 116.0;
        double r666579 = r666577 / r666578;
        double r666580 = r666576 - r666579;
        double r666581 = 3.0;
        double r666582 = r666580 * r666581;
        double r666583 = y;
        double r666584 = r666582 * r666583;
        return r666584;
}
↓
double f(double x, double y) {
        double r666585 = x;
        double r666586 = 16.0;
        double r666587 = 116.0;
        double r666588 = r666586 / r666587;
        double r666589 = r666585 - r666588;
        double r666590 = 3.0;
        double r666591 = r666589 * r666590;
        double r666592 = y;
        double r666593 = r666591 * r666592;
        return r666593;
}

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 2019347 +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))