I would like to know if there is an implicit SELECT being run prior to performing an INSERT on a table that has any column defined as UNIQUE. I cannot find anything about this i
There are a few flaws and misconceptions in the previous answers; rather than point them out, I will start from scratch.
Referring to InnoDB only...
An INDEX (including UNIQUE and PRIMARY KEY) is a BTree. BTrees are very efficient a locating one row based on the key the BTree is sorted on. (It is also efficient at scanning in key-order.) The "fan out" of a typical BTree in MySQL is on the order of 100. So, for a million rows, the BTree is about 3 levels deep (log100(million)); for a trillion rows, it is only twice as deep (approximately). So, even if nothing is cached, it takes only 3 disk hits to locate one particular row in a million-row index.
I am being loose here with "index" versus "table" because they are essentially the same (in InnoDB, at least). Both are BTrees. What differs is what is in the leaf nodes: The leaf nodes of a table BTree has all the columns. (I am ignoring the off-block storage for TEXT/BLOB in InnoDB.) An INDEX (other than the PRIMARY KEY) has a copy of the PRIMARY KEY in the leaf node. This is how a secondary key can get from the INDEX BTree to the rest of the row's columns, and how InnoDB does not have to store multiple copies of all the columns.
The PRIMARY KEY is "clustered" with the data. That is one BTree contains both all the columns of all the rows, and it is ordered according to the PRIMARY KEY specification.
Locating a record by PRIMARY KEY is one BTree search. Locating a record by a SECONDARY KEY is two BTree searches, one in the secondary INDEX's BTree which gives you the PRIMARY KEY; then a second one to drill down the data/PK BTree.
PRIMARY KEY(UUID)... Since the UUID is very random, the "next" row you INSERT will be located at a 'random' spot. If the table is much bigger than be cached in the buffer_pool, the block the new row needs to go into is very likely to not be cached. This leads to a disk hit to pull the block into cache (the buffer pool), and eventually another disk hit to write it back to disk.
Since a PRIMARY KEY is a UNIQUE KEY, something else is going on at the same time (No SELECT COUNT(*) etc). The UNIQUEness is checked after the block is fetched and before deciding whether to give a "duplicate key" error, or to store the row. Also, if the block is "full" then the block will need to be 'split' to make room for the new row.
INDEX(UUID) or UNIQUE(UUID)... There is a BTree for that index. On INSERT, some randomly located block will need to be fetched, modified, possibly split, and written back to disk, very much like the PK discussion above. If you had UNIQUE(UUID), there would also be a check for UNIQUEness and possibly an error message. In either case, there is, now and/or later, disk I/O.
AUTO_INCREMENT PK... If the PRIMARY KEY is an auto_increment, then new records are added to the 'last' block in the data BTree. When it gets full (every 100 or so records) there is (logically) a block split and flush of the old block to disk. (Actually, the I/O is probably delayed and done in the background.)
PRIMARY KEY(id) + UNIQUE(UUID)... Two BTrees. On an INSERT, there is activity in both. This is likely to be worse than simply PRIMARY KEY(UUID). Add up the disk hits above to see what I mean.
"Disk hits" are the killer in huge tables, and especially with UUIDs. "Count the disk hits" to get a feel for performance, especially when comparing two possible techniques.
Now for your secret sauce... PRIMARY KEY(date, UUID)... You are allowing the same UUID to show up on two different days. This can help! Back to how a PK works and checking for UNIQUEness... The "compound" index (date, UUID) is checked for UNIQUEness as the record is inserted. The records are sorted by date+UUID, so all of today's records are clumped together. IF (and this might be a big IF) one day's data fits in the buffer pool (but the entire table does not), then this is what is happening every morning... INSERTs are suddenly adding new records to the "end" of the table because of the new "date". These inserts are occurring randomly within the new date. Blocks in the buffer_pool are being pushed out to disk to make room for the new blocks. But, nicely, what you see is smooth, fast, INSERTs. This is unlike what you saw with PRIMARY KEY(UUID), when many rows had to wait for a disk read before UNIQUEness could be checked. All of today's blocks stay cached, and you don't have to wait for I/O.
But, if you ever get so big that you cannot fit one day's data in the buffer pool, things will start slowing down, first at the end of the day, then it will creep earlier and earlier as the frequency of INSERTs increases.
By the way, PARTITION BY RANGE(date), together with PRIMARY KEY(uuid, date) has somewhat similar characteristics. (Yes I deliberately flipped the PK columns.)