The pump model was helpful. That is a an uprated 2 HP which is equivalent to a full rated 1.5 HP pump. Full power draw for that pump is around 2.4 kw so running 8 hrs per day should be less than 580 kwh per month. But if your rates are around $0.11/kwh, you should be paying less than $64/month for the pump.

On 2" plumbing, your current pump is probably producing close to 90 GPM which would be a 3 hour turnover. So with 8 hours, you are turning over the pool over 2.5x which probably much more than you actually need.

Most pools need only 1 turnover per day so the first thing you could try is reducing your run time in half and see how the pool looks. The run time of a pump is mainly for removing debris from the water so mostly asthetics. As long as you have enough chlorine in the water, everything should be fine with a reduced run time.

As for a new pump, going with a 3/4 HP two speed would save even more energy. Taking into account both the lower power draw and slower turnover, a 3/4 HP pump will save you in energy costs close to 25% on high speed and 66% on low speed. Full speed turnover would be about 5.3 hours and low speed 10.6 hours. A Pentair Whisperflo WFDS-24 would be a good choice your setup.