NoiseBoundTests: the affine composition must win in 35% of open slices and narrow the interval piece
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
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1 changed files with 5 additions and 3 deletions
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@ -893,9 +893,9 @@ public sealed class NoiseBoundTests
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/// (warp 0 and the Aetheria warp, N = 8, slices of length log-uniform in [0.5, 100] from a drawn
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/// depth), AffineBound is exactly the intersection of its two sound pieces (the affine arithmetic's
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/// own, and the interval composition over the forms' ranges), and where the interval piece does not
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/// already prove the slice empty the affine piece is the narrower of the two in at least MinWins of
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/// the slices and the intersection is narrower than the interval piece in total width by at least
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/// MinGain. The affine piece alone is wider in total (the shared symbol pays where the forms are
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/// already prove the slice empty the affine piece is the narrower of the two in at least 35% of
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/// them and the intersection is narrower than the interval piece in total width by at least 0.5%
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/// (measured: 43% and 1.1%). The affine piece alone is wider in total (the shared symbol pays where the forms are
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/// correlated and loses to the clipped ranges where they are not), so it is the intersection's gain
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/// that measures it. The cost contract (IntervalSkipHalvesEvaluations) sees only the sum, in which
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/// af_snoise's Hessian forms already beat iv_snoise_ball; this is the test that sees af_add, af_mul and
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@ -926,6 +926,8 @@ public sealed class NoiseBoundTests
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output.WriteLine($"IV-REPORT affine composition: {open} open slices, affine narrower in {wins} ({(double)wins / open:F3}), intersection width {intersectionWidth:F1} against the interval piece's {intervalWidth:F1} ({intersectionWidth / intervalWidth:F3})");
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Assert.True(open > 0, "no slice is open");
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Assert.True(wins >= 0.35 * open, $"the affine piece is narrower than the interval piece in {wins} of {open} open slices, under 35%");
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Assert.True(intersectionWidth <= 0.995 * intervalWidth, $"the intersection's width {intersectionWidth:F1} is not under 0.995 of the interval piece's {intervalWidth:F1}");
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}
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// Why a field is not ten bands deep and wide, or null. The band G is the span of s where only the
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