
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
If the function $f(x)=\left\{{\begin{array}{l}{{{log}_{\frac{1}{2}}}x,(x>0)}\\{{2^x},(x\leq0)}\end{array}}\right.$, then $f\left[f\left(2\right)\right]=$____.

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