
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 container is filled with fine sand of volume $a \text{ cm}^3$. The sand leaks slowly and uniformly from a tiny hole at the bottom of the container. After $t$ minutes, the remaining volume of sand is $y = ae^{-bt} \text{ cm}^3$. It is observed that after 8 minutes, half of the sand remains in the container. Then, after $\boxed{\text{\_\_\_\_\_\_\_\_}}$ minutes, only one-eighth of the original sand will remain in the container.

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