http://www.onwar.com/chrono/1943/oct1943/f06oct43.htm
Japanese evacuate Vella Lavella
Wednesday, October 6, 1943 www.onwar.com
In the Solomon Islands... The US 25th Division lands unopposed at Vila on Kolombangara. During the night (October 6-7), two Japanese destroyers are sent to evacuate 600 troops from Vella Lavella. Six escorting destroyers are engaged by 3 American ships. Each side loses 1 destroyer and the other American ships are damaged.
In the Bismark Archipelago... Small parties of US troops secretly land around Cape Gloucester, on New Britain Island to reconnoiter.
In Italy... The US 5th Army captures Caserta and advances to the Volturno Rivers and takes Capua. On the east coast, British 78th Division, fighting the German 16th Panzer Division around Termoli, makes progress.
In the Central Pacific... Wake Island is shelled and bombed by Task Force 14 (Admiral Montgomery). There are 6 carriers, 7 cruisers and 25 destroyers involved.
On the Eastern Front... Soviet forces continue the effort to establish bridgeheads over the Dniepr River.
"They have moved since July 12, in some areas of the front, at a rate of 3.5 miles a day; in others the rate of advance has been about 1.3 miles a day.
"The Germans in the first summer of their invasion of Russia advanced in the first ten days of the campaign twenty to twenty-seven miles daily; during the entire summer and fall of 1941 the enemy averaged an advance of 3.7 to five miles a day.
In 1942, at the start of their great summer offensive, the Germans averaged eleven miles a day, although this was greatly slowed later."
In short: in 1943 the Germans are retreating at roughly the same rate they advanced in 1941 & 1942.