
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
A circle has a square inscribed in it. Along one side of this square, a smaller square is drawn such that its opposite side coincides with a side of the larger square and two of its vertices lie on the circle. If the side length of the larger square is 4 units, find the percent of the area of the larger square that is occupied by the smaller square.

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