Can you tell me the difference between the bare infinitive and the base form of a verb?
The term "bare infinitive" is a grammatical category.
"I can jump the fence"
"The base, or root, form" is a linguistic term and teaching aid that demonstrates the root from which the verb arose and which can often be used to conjugate the verb.
The verb "to jump" is conjugated from its base form "jump-" I jump; he jumps; jumped, have jumped.
twinkl.co.uk/teaching-wiki
What is the base form verb (or the root form)?
A base form is the simplest form of a verb, without any subject pronouns like ‘I’ or ‘we’ attached. You’ll often hear it referred to as the infinitive or root form of a verb - it’s what we change when we want to make it agree with different tenses and subject pronouns. When you search for a verb in a dictionary or thesaurus, this is the form you’ll find.
Though they’re functionally identical (except for the 3rd person singular), the base form is different from the present form of a verb in that it doesn’t appear with a subject pronoun. This is the difference between ‘I write’ and ‘write’.