"Timeliness" is not the same thing as "fast". If that was the problem your evaluation should have just said "slow". So be before you take the path you propose, make sure you know what is expected of you.

It could mean anything; it might even mean that you don't get into the office until 20 minutes after your colleagues, or that you have poor time management. That may be nothing to do with your 'programming speed'.

I probably spend most time designing and planning; it is easier to plan tasks from a good analysis and design, and you will then give better estimates that will be believed. Moreover from a good design, coding becomes a lot simpler and more directed process. It also makes it possible to divide up a task and distribute it amongst other developers.