Average Error: 0.2 → 0.2
Time: 18.9s
Precision: 64
\[\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y\]
↓
\[y \cdot \left(\left(x - \frac{16}{116}\right) \cdot 3\right)\]
\left(\left(x - \frac{16}{116}\right) \cdot 3\right) \cdot y
↓
y \cdot \left(\left(x - \frac{16}{116}\right) \cdot 3\right)
double f(double x, double y) {
        double r42091211 = x;
        double r42091212 = 16.0;
        double r42091213 = 116.0;
        double r42091214 = r42091212 / r42091213;
        double r42091215 = r42091211 - r42091214;
        double r42091216 = 3.0;
        double r42091217 = r42091215 * r42091216;
        double r42091218 = y;
        double r42091219 = r42091217 * r42091218;
        return r42091219;
}
↓
double f(double x, double y) {
        double r42091220 = y;
        double r42091221 = x;
        double r42091222 = 16.0;
        double r42091223 = 116.0;
        double r42091224 = r42091222 / r42091223;
        double r42091225 = r42091221 - r42091224;
        double r42091226 = 3.0;
        double r42091227 = r42091225 * r42091226;
        double r42091228 = r42091220 * r42091227;
        return r42091228;
}

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

    \[\leadsto y \cdot \left(\left(x - \frac{16}{116}\right) \cdot 3\right)\]

Reproduce

herbie shell --seed 2019170 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.CIE:cieLAB from colour-2.3.3, A"

  :herbie-target
  (* y (- (* x 3.0) 0.41379310344827586))

  (* (* (- x (/ 16.0 116.0)) 3.0) y))