There are many differences in wording, although with very similar meaning, allowing the assumption that the two creeds are independent of each other, linked only by being based on an earlier baptismal creed. Even so, the authors of the 381 Creed were inevitably aware of the Nicene Creed of 325. Actual evidence that the Creed of 381 is dependent on the Creed of 325 is found in the words "being of one substance [being] with the Father
"being of one substance [being] with the Father."
Elaine Pagels says, in Beyond Belief, page 174, that this phrase was inserted into the Nicene Creed at the insistence of Alexander, bishop of Alexandria, in order to fully exclude the views of Arius, whom Alexander had excommunicated for alleged heresy. Thus, these words could not have been received from a pre-Nicene document, and their existence in the Creed of 381 makes that document at least partly dependent on the Nicene Creed of 325.
Further circumstantial evidence is that the longer and more sophisticated wording of the later Creed is a theological elaboration that is typically found in later versions of a document, and therefore potential evidence that the 381 version is an update of the 325 document rather than of an even simpler, earlier document. The reference to Mary likely to be a result of the Mariology that developed over the later decades of the fourth century.