
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
Let \[p(x,y) =
\begin{cases} 
x + 2y &\quad \text{if } x \ge 0 \text{ and } y \ge 0, \\
2x - y &\quad \text{if } x < 0 \text{ and } y < 0, \\
4x + 2y &\quad \text{if } x \ge 0 \text{ and } y < 0, \\
x^2 - y^2 &\quad \text{otherwise}.
\end{cases}
\]
What is $p(p(2,-3),p(-4,1))$?

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