
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 $f(x)=\begin{cases}4^{x}, & x > 0 \\ f(x+1)-1, & x < 0\end{cases}$, calculate $f\left(-\frac{1}{2}\right)+f\left(\frac{1}{2}\right)$.

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