C# Difference between First() and Find()

So I know that Find() is only a List<T> method, whereas First() is an extension for any IEnumerable<T>. I also know that First() will return the first element if no parameter is passed, whereas Find() will throw an exception. Lastly, I know that First() will throw an exception if the element is not found, whereas Find() will return the type's default value.

I hope that clears up confusion about what I'm actually asking. This is a computer science question and deals with these methods at the computational level. I've come to understand that IEnumerable<T> extensions do not always operate as one would expect under the hood. So here's the Q, and I mean from a "close to the metal" standpoint: What is the difference between Find() and First()?

Here's some code to provide basic assumptions to operate under for this question.

var l = new List<int> { 1, 2, 3, 4, 5 };
var x = l.First(i => i == 3);
var y = l.Find(i => i == 3);

Is there any actual computational difference between how First() and Find() discover their values in the code above?

Note: Let us ignore things like AsParallel() and AsQueryable() for now.

Solution 1:

Here's the code for List<T>.Find (from Reflector):

public T Find(Predicate<T> match)
{
    if (match == null)
    {
        ThrowHelper.ThrowArgumentNullException(ExceptionArgument.match);
    }
    for (int i = 0; i < this._size; i++)
    {
        if (match(this._items[i]))
        {
            return this._items[i];
        }
    }
    return default(T);
}

And here's Enumerable.First:

public static TSource First<TSource>(this IEnumerable<TSource> source, Func<TSource, bool> predicate)
{
    if (source == null)
    {
        throw Error.ArgumentNull("source");
    }
    if (predicate == null)
    {
        throw Error.ArgumentNull("predicate");
    }
    foreach (TSource local in source)
    {
        if (predicate(local))
        {
            return local;
        }
    }
    throw Error.NoMatch();
}

So both methods work roughly the same way: they iterate all items until they find one that matches the predicate. The only noticeable difference is that Find uses a for loop because it already knows the number of elements, and First uses a foreach loop because it doesn't know it.

Solution 2:

First will throw an exception when it finds nothing, FirstOrDefault however does exactly the same as Find (apart from how it iterates through the elements).