
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 $f(x)= \begin{cases} x^{2}-4x, & x < \frac {1}{2} \\ \log _{\frac {1}{2}}(2x+1), & x\geqslant \frac {1}{2} \end{cases}$,

(1) Find the values of $f(\frac{3}{2})$ and $f(f(\frac{1}{2}))$;

(2) Solve the inequality $f(x) > -3$.

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