
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
Find the gradient of the scalar field given in spherical coordinates $(r, \theta, \varphi)$: \( u = r + \frac{\sin \theta}{r} - \sin \theta \cos \varphi \)

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