
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 $f(x) = \begin{cases} \log_{2}(x+1), & x>0 \\ 2^{-x}-1, & x\leq 0 \end{cases}$, then $f[f(-2)] = \_\_\_\_\_\_$; If $f(x_0) < 3$, then the range of $x_0$ is $\_\_\_\_\_\_$.

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