
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 $f(x)= \begin{cases} x^{2}-3x+1,x\geqslant 1 \\ (\frac {1}{2})^{x}+ \frac {1}{2},x < 1\end{cases}$, find the value of $f(f(2))$.

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