
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
Daniel walked from the southwest corner to the northeast corner of a rectangular field with dimensions 6 units by 8 units by walking due east and then due north. Let x be the distance Daniel walked due east and y be the distance Daniel walked due north. Calculate the percentage reduction in distance traveled by Rachel, who walked in a straight line from the southwest corner to the northeast corner.

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