Where is the NAME of the file?
When you move or rename a file within the same partition, you don't actually move the data (contents). That would be Slow. You just create the -name,inode- entry in a new directory, and delete the old entry inside the old directory. In other words, moving a gigabyte file takes very little time. In the same way, you can move/rename directories very easily. That's why "mv /usr /Old_usr" is so fast, even though "/usr" may contain (for example) 57981 files.
When you copy a file - it does create a duplicate of the same data and the copy gets its own inode number. To copy a gigabyte file or directory takes time because every byte must be copied.