OpAmp eventually burns/malfunctions
When supplying a peak of 1.4142 volts above midrail there will be a current flow of 62.5mA RMS (1volt/16 ohms) - this current is sourced from a transistor that is connected to 5V hence it, (the transistor), will dissipate a power of possibly over 100 mW. This is repeated on the other bridged op-amp but power dissipation on that side will be slightly higher because it is a mid-rail generator - maybe a total power dissipation in the device of 300 mW.

This device is going to struggle to live for very long because you are asking too much of it. I did mention that op-amps weren't suitable in your deleted question!!

The device is rated to operate at 85degC absolute maximum and with a package that possibly is rated thermally at 100C/watt you are going to get a 30 degC rise above ambient. Without proper heatsinking it's going to fry because the local temeperature around the device will just rise up due to the local power dissipated. Maybe if you used a small fan?