This site calculates the use, in 2013, per year of your phone:
How Much Electricity Do Your Gadgets Really Use? (Forbes, 7 sep 2013)
It comes down to about 2kWh/year, assuming one full charge per day.
This site gives typical wattage for different appliances, and allows you to calculate annual usage based on hours/day and days/year the appliance is used:
Estimating Appliance and Home Electronic Energy Use (energy.gov)
Assuming a washer is used 2 hours a day for 2 days a week, the total energy usage would be 53kWh.
So, according to these sources, its not even close