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Complete Error Analysis table with all stake percentages

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Expand table from 3 rows (5-15%) to 20 rows (5-100%)
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Cofson
2025-12-23 18:20:52 +01:00
parent 30ee13afe0
commit b9b591bd5b
1 changed files with 18 additions and 1 deletions
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nomos/raw/cryptarchia-proof-of-leadership.md
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@@ -497,10 +497,27 @@ we pre-compute $t_0$ and $t_1$ outside of the circuit.
$\frac{stake}{\text{inferred\_total\_stake}}(-\ln(1-f) - 0.5 \ln^2(1-f)(\frac{stake}{\text{inferred\_total\_stake}})) := stake(t_0 + stake \cdot t_1)$
| stake (%) | order 1 error | order 2 error |
|-----------|---------------|---------------|
| --------- | ------------- | ------------- |
| 5% | 0.13% | -0.0001% |
| 10% | 0.26% | -0.0004% |
| 15% | 0.39% | -0.0010% |
| 20% | 0.51% | -0.0018% |
| 25% | 0.64% | -0.0027% |
| 30% | 0.77% | -0.0040% |
| 35% | 0.90% | -0.0054% |
| 40% | 1.03% | -0.0071% |
| 45% | 1.16% | -0.0089% |
| 50% | 1.29% | -0.0110% |
| 55% | 1.42% | -0.0134% |
| 60% | 1.55% | -0.0159% |
| 65% | 1.68% | -0.0187% |
| 70% | 1.81% | -0.0217% |
| 75% | 1.94% | -0.0249% |
| 80% | 2.07% | -0.0284% |
| 85% | 2.20% | -0.0320% |
| 90% | 2.33% | -0.0359% |
| 95% | 2.46% | -0.0406% |
| 100% | 2.59% | -0.0444% |
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