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The denormalizedException is set whenever a denormalized value is manipulated or created. It is useful to know that denormalized values are generated because it indicates that precision is low. Further performance of denormalized number can be up to 100 times slower even when handled in hardware (see Table 2 in "Quantifying the Interference Caused by Subnormal Floating-Point Values" by Isaac Dooley and Laxmikant Kale).
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