
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
As shown in the diagram, a regular octagon with side length 1 is cut as shown in the following diagram. What is the difference in area between the shaded part and the striped part? (Subtract the smaller area from the larger area.)

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