I have a Honda Civic Hybrid with automatic transmission (Continuously Variable Transmission).
I frequently go over two large bridges.
I have been experimenting with cresting the bridge at the lowest safe speed, 30 miles per hour, then I pop the transmission into neutral and coast down.
My speed gets up to about 70 miles per hour at the bottom of the bridge.

This apparently gives me better MPGs but I'm concerned about two things.
1. Is popping the transmission into neutral while moving going to strip the gears. (Opps there are no gears, uhmmm strip the belt? or harming or prematurely wearing down something else?)
Then, of course, I have to pop it back into gear while moving - when I do this the RPMs will be very low (about 500 or so) should I rev it up to 1200 or so before putting it into drive?

2. I am not charging the battery on the way down the bridge.
So will this be bad for my battery.
Or, will the battery just need more charging later and compensate the the better MPGs I thought I was getting?

Need fewer troops to support.
Drive a hybrid.
Best tank 71.65 MPG.

Before this car I spent two years learning hypermiling on my 2004 HCH1.

I've got a manual so I can't say for sure on the CVT but I suspect the coasting senarios are similar. I usually coast in neutral (sometimes ICE off) depending on the condition of the battery charge. If the pack is mostly full the car goes in N for the downhills, if the pack needs some help I'll leave the car in gear. Sometimes I'll split the difference, gaining speed in neutral till I'm a bit over the limit and then I'll put it in gear to help brake the car and charge the battery.

I should think that you would want to match the speed of the engine with the speed of the car when putting it back in gear. I can't really say if you are hurting anything. One of the reasons I got a manual is so I wouldn't have a need to answer that question.

Some say that it is better to leave the car in gear because the engine goes to fuel cut mode, while the engine must use gas to idle in neutral. This has not been my experience. You get better mileage in neutral and you don't get slowed down by engine braking. You get infinate mpgs coasting with the ICE off but that can be dangerous.

Kenny I'd follow Lakedude's advice about matching the engine speed to your car speed.
I usually rev to around 1500K- 2K RPM as I put it back into Drive.

What ever you do, don't take it "one step further" in that situation and reboot the car.
The reason is that when you restart even in Neutral going ~70MPH will cause a terrible jerk in the drive system.

Efficient drivers do it better.
1003 miles a tank personal record. 74MPG calculated. HCH1 CVT