Data from this question's answer states 2300 kg of fuel is used for takeoff/climb and 2500 kg of fuel per hour is used at cruise altitude. Half hour idle descent burns 600 kg per hour (2% of total fuel use).
Using simple modeling of fuel consumption at glide, cruise, and climb (as a mirror image of glide) the "rule of thumb" fuel consumption for climb would be around 2x cruise based on a half hour descent at idle matching a half hour climb and a similar IAS and flap settings.
From all this, it is reasoned that airliners climb to cruise at around 1000 feet per minute. How close are these numbers to actual climb rates of passenger airliners?