
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
Use the bisection method to find the approximate solution of the positive real root of the equation $x^2 = 2$ with an accuracy of 0.001. If we choose the initial interval to be \[1.4, 1.5\], then the minimum number of calculations required to achieve the accuracy is \_\_\_\_\_ times.

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