
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
The odd function $f(x)$ is defined on $\mathbb{R}$ and for any $x \in \mathbb{R}$, $f(x) = f(x + 4)$. When $x \in (-2, 0)$, $f(x) = 2^x$. Find $f(2016) - f(2015) =$ _____.

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