
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
An octagon with side length 3 has eight semicircles inside it, each with their diameters along one side of the octagon. Find the area of the region inside the octagon but outside all the semicircles.

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