
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
Given an ellipse $\dfrac {x^{2}}{a^{2}}+ \dfrac {y^{2}}{b^{2}}=1(a > b > 0)$ with focus $F_{1}$, a line passing through point $F_{1}$ at an angle of $30^{\circ}$ intersects with the circle $x^{2}+y^{2}=b^{2}$, and the length of the chord is $\sqrt {3}b$. Determine the eccentricity of the ellipse.

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