
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 the function $f(x)$ defined as follows:
$$
f(x) =
\begin{cases}
f(x+2), & \text{if } x < 3 \\
(\frac{1}{2})^{x}, & \text{if } x \geq 3
\end{cases}
$$
Determine the value of $f(-4)$.

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