
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 $acm^3$. The sand slowly leaks out uniformly through a small hole at the bottom. After $t$ minutes, the remaining volume of sand is $y=ae^{-bt}(cm^3)$. It's observed that after 8 minutes, half of the sand remains in the container. Calculate how many more minutes it will take for the amount of sand in the container to be one-eighth of its original volume.

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