
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
The base of an isosceles triangle is one unit, and the lengths of its legs are $b$. What is the base length of another isosceles triangle whose vertex angle is equal to the base angle of the first triangle, and whose legs are one unit long?

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