reformat lars_update

[Abhinav-CHD]

Added functional examples to the lars_update function resolves #25688

Reformat gradients #776

Close #25688

Checklist

• Did you add a function?
• Did you add the tests?
• Did you run your tests and are your tests passing?
• Did pre-commit not fail on any check?
• Did you follow the steps we provided?

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[github-actions]

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[github-actions]

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Here are some notes to understand our tests:

• We have merged all the tests in one file called `display_test_results` job. 👀 It contains the following two sections:
  • Combined Test Results: This shows the results of all the ivy tests that ran on the PR. ✔️
  • New Failures Introduced: This lists the tests that fails on this PR.

Please make sure they are passing. 💪

Keep in mind that we will assign an engineer for this task and they will look at it based on the workload that they have, kindly be patient 😄.

[Abhinav-CHD]

Hey I believe some of the test cases are not passing. Could you please help me with that?

[vedpatwardhan]

The changes look good to me, but I'll leave this with @RickSanchezStoic to review as he's assigned to the PR (the automation auto-requested my review due to changes to the gradients files). Thanks @Abhinav-CHD 😄

[Abhinav-CHD]

@vedpatwardhan Thank you. It was an honor to contribute to Ivy.

[RickSanchezStoic]

lgtm!