BBC官网英语学习:As well as和in addition to的用法区别-By Roger Woodham

I think it all depends on whether it is used as part of an adverbial phrase when making comparisons, in which case the infinitive or simple form of the verb is the norm, or whether it is used as a conjunction introducing clauses of comparison and similar in meaning to in addition to, in which case the '-ing' pattern is required. Let us compare the two usages:

as + adj + as + clause/phrase

as + adv + as + clause/phrase

For example:

Note that if an adjective is placed between as and the noun,
a / an must be placed after the adjective.

What is interesting in your example, Van Anh, is that if you say: 'I can swim as well as cook well', you are stating that these are two things that you can do, whereas if you say: 'I can swim as well as I can cook', you are stating that you can do both these things to an equal degree of proficiency.

When we use as well as - similar in meaning and usage to in addition to - as a subordinating conjunction, the '-ing' form in the verb which follows is required:

Note here that the adverb as well is similar in meaning to as well as and is often used as an alternative to too. Note that both as well and too must be used at the end of the sentence:

Note the special use of as long as which is similar in meaning and use to provided that. Both are more emphatic forms of if and are used to introduce conditions: