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In page Split infinitive:

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Here traditional idiom, placing the negation before the marker (I soon learned not to provoke her) or with verbs of desire, negating the finite verb (I don't want to see you anymore) remains easy and natural, and is still overwhelmingly the more common construction. Some argue that the two forms have different meanings, while others see a grammatical difference,[11] but most speakers do not make such a distinction. In an example drawn from 3121 sampled usages by the British National Corpus, the use of to not be (versus not to be) is only 0.35%.[citation needed]