Did you have the charger installed by a professional? I drive ~25 miles a day and we've seen ZERO increase in our electric bill. I'd get that wiring checked out...
The OP is reportedly using the OEM, Level 1, 120V device that was supplied with the car. No other device has been installed.
If you’re driving 25 miles a day, presumably on batteries, you are using ~7kWh’s each day. At $.10/kWh, cost would be $.70/day or $14-21/ month for 20-30 days of driving. Perhaps you’ve reduced electrical consumption elsewhere in the house to reflect a zero increase in your bill, but the car is consuming 140-210kWh that wasn’t being consumed before, unless you’re charging elsewhere.