
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 function $f(x)$ is defined as follows:
$$f(x) = \begin{cases} f(x+3), & x \leqslant 1 \\ \log_{2}|x|, & x > 1 \end{cases}$$
Determine the value of $f(-2)$.

A) $0$
B) $1$
C) $2$
D) $3$

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