
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 $f(x)=\begin{cases} x^{2}-3x+1, & x\geqslant 1, \\ (\dfrac{1}{2})^{x}+\dfrac{1}{2}, & x < 1, \end{cases}$, then $f(f(2))=$ \_\_\_\_\_\_.

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