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AD8666 LTSpice transient analysis failure

Category: Software
Product Number: AD8666
Software Version: LTSpice XVII

I'm trying to simulate a simple unity gain inverting amplifier using the AD8666 with +/-5V power supply.  Feeding a 1 V amplitude sine wave centered at 0V generates an output waveform that seems to have problems on the negative side.  Increasing the power supply to +/-6V fixes the issue in simulation.   This doesn't make sense to me as this op amp input voltage range should be pretty close to -5V to +5V (when driven with +5/-5) according to the datasheet.  Is this a bug in the AD8666 Spice model?

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