
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 equilateral triangle is formed by one focus of an ellipse and the two endpoints of its minor axis, and the sides of this triangle are also the chords of the ellipse. Find the eccentricity of the ellipse.

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