Average Error: 0.2 → 0.2
Time: 9.1s
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 r833553 = x;
        double r833554 = 16.0;
        double r833555 = 116.0;
        double r833556 = r833554 / r833555;
        double r833557 = r833553 - r833556;
        double r833558 = 3.0;
        double r833559 = r833557 * r833558;
        double r833560 = y;
        double r833561 = r833559 * r833560;
        return r833561;
}
↓
double f(double x, double y) {
        double r833562 = x;
        double r833563 = 16.0;
        double r833564 = 116.0;
        double r833565 = r833563 / r833564;
        double r833566 = r833562 - r833565;
        double r833567 = 3.0;
        double r833568 = r833566 * r833567;
        double r833569 = y;
        double r833570 = r833568 * r833569;
        return r833570;
}

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
\[y \cdot \left(x \cdot 3 - 0.413793103448275856\right)\]

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 2020047 +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))