
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 $f(x) = \begin{cases} x^{2} & (x\leq 0) \\ \cos x - 1 & (x>0) \end{cases}$, try to calculate $\int_{ -1 }^{ \frac {\pi}{2} } f(x) \, dx$.

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