Anti-aliasing problem in cycles

The attached image shows some obvious aa issues along the curve. That is actually the reflection of a black plane in the glossy white edge of the knife blade. The actual black part of the blade is well aa’d. Model is a Bowie knife. I use 500 samples with standard settings. There was no change between about 200 and 500 so I don’t think increasing the samples will make any difference. The aliasing is so sharp it doesn’t seem to have been addressed at all (for the reflection). Any suggestions welcome.

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Hi,

What about increasing resolution and the tiles size?.