I use IDA (Internet Download Accelerator) and I can tell you it does not have/need these files cleaned
[internet Download Accelerator] ... DetectFile=%CommonAppData%\Speedbit\DAP ... FileKey7=%CommonAppData%\Speedbit\DAP\Log|*.* FileKey8=%CommonAppData%\Speedbit\DAP\temp|*.tmp FileKey9=%CommonAppData%\Speedbit\DAP\History|*.dat|RECURSE
Speeddbit\DAP I think is for Download Accelerator Plus (completely different program)