GSIAD VIII (LFGSS 10th Birthday Slam)

I am, indeed, delighted.

I have, also, split that infinitive.

I am, indeed, delighted. Whilst having, also, split that infinitive.

You have not, in fact, split any infinitives. The infinitive is that form of the verb which in English is indicated by the addition of 'to'. (Obviously, as there is hardly any conjugation in English, it is easily confused with other forms of the verb.) The grammatical misdemeanour of splitting the infinitive is to insert a word, in the vast majority of cases an adverb, between the 'to' and the verb:

https://en.oxforddictionaries.com/grammar/split-infinitives

You've split a couple of other verb forms, deliberately inelegantly, of course, but no infinitive.

As the article notes, splitting the infinitive can be necessary to achieve the desired meaning, and the objection to it is only really valid if the intended meaning isn't achieved in this way, or when it is stylistically clumsy.