
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given that the domain of the function $f(x)$ is $\mathbb{R}$, when $x < 0$, $f(x) = x^3 - 1$; when $-1 \leq x \leq 1$, $f(-x) = -f(x)$; when $x > \frac{1}{2}$, $f(x + \frac{1}{2}) = f(x - \frac{1}{2})$. Calculate the value of $f(2016)$.

Present the answer in LaTex format: \boxed{Your answer}
user