A document labelled "Flugleistungen der He-162 mit 003R" dating from february, 9th, 1945 give the estimated (calculated, not test flown) performance changes of the He-162 with BMW-003R.
The BMW-003R is a coupled BMW-003 with a BMW 109-718 rocket engine. The jet unit is deprived by about 3% of it´s power to drive the fuel pumps of the rocket unit. The total thrust output of this unit is 775 Kp + 1250 Kp, limited to three minutes (=4.463 lbs). Rocket fuel is about 700 Kg (180-320 sec., depending on the choosen thrust rating), enough to use full thrust rating and achieving an ceiling of over 10.000m (max. possible: 11.700m in three minutes).
A single He-162 M (prototype) was equipped with the BMW-003R in Vienne and appears to have been tested before VE-day. Whether or not this includes flights is not sure. The drastic weight increase leads to a substantially higher wingload and thus higher stall speed, lower climb rate and longer take off run compared to the normal he-162 A.
Maximum take off weight: 3475 Kg (with rocket fuel)
maximum take off weight: 2.775 Kg (without rocket fuel)
take off run :1470m (without rocket assistence)
take off run: 482m (with rocket assistence)
initial climb: 11m/s (without rocket assistence, compare 18 m/s A-2)
initial climb: 50-80m/s (with rocket assistence, depending on altitude)
There are no estimates given on acceleration and top speed in the document but with hindsight we are able to estimate that acceleration is better than in the Me-163 and top speed with more than twice the thrust avaiable will likely result in encountering it´s crit Mach figure at any given altitude.