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A couple of thoughts:

I'm thinking that we should have the parameter next to the functions a bit like below:

Otherwise, it looks weird.

When it comes to the tooltip, I think that we need to define a new CSS rule. Since we are going to show only the short summary, I don't think that we need to truncate because we will always have less than 88 characters. So I think that we could show the full short summary on a single line (it means a quite wide tooltip). Then, I would add an empty line and then the "Click to see the online documentation" on a new line. All this text should be left-aligned then.

Regarding the parameter, we sometimes have this rendering:

We are missing the closing parenthesis. Then, I think that we can shorten more the value of parameters: I think that more than 15 characters is too much. Usually, we will have only simple types as default parameters.

Now, I think that we can have an additional value on this feature by grouping the methods other than alphabetic order:

• I think that we could have a group related to fit, transform, predict and friends
• Another group for the set_params and get_params
• Another group for metadata routing
• Another group with other information (e.g. get_feature_names_out)

Potentially, we before each group we could introduce a row with fused cells and add a title for each group.