Why should your theory and ktimesg’s even be taken seriously?
All I see is two dudes clinging to a sinking ship, while the prefix idea clearly has way more advantages—but of course you ‘math geniuses’ just dismiss that.
I'm not sure I understand what you mean. Personally, I don't have a theory at all.
What I do have is basic understanding of numbers and how they work, so when somebody's plain out defying basic logic and insists on a bunch of claims about something which always inevitably results in a total contradiction of how the numbers work, then, yes, there's a problem.
Call it the common sense theory if you want. Do you want some links to the Scooby Doo theories though? You can find some flavor of it that works better or at least the same than any prefix theory you may "feel" has broken the principles of reality.
I have the solution for you! Ignore the
green results and focus on the
red ones. (Call it the common sense theory if you want.)
=== Configuration ===
Total numbers: 100,000
Block size: 4,096
Prefix: 3 characters (16^3 combinations)
Simulations: 1000
secp256k1 order: 115792089237316195423570985008687907852837564279074904382605163141518161494337
=== FINAL NUMERICAL ANALYSIS ===
[Decision Parameters]
1. Win Rate:
• Sequential = 33.1%
• Prefix = 59.4%2. Efficiency (Checks/Win):
• Sequential = 48,512.59214501511
• Prefix = 39,655.787878787883. Average Speed/Win:
• Sequential = 0.1236s
• Prefix = 0.1035s
4. Consistency (Check Range):
• Sequential = 1,270 - 94,090
• Prefix = 449 - 85,2205. Global Performance (All Cases):
• Average Checks:
- Sequential = 50,125.349
- Prefix = 49,458.848
• Average Time:
- Sequential = 0.1281s
- Prefix = 0.1289s[Verdict by Criteria]
+------------------------+----------------+----------------+-------------+
| Criterion | Sequential | Prefix | Winner |
+------------------------+----------------+----------------+-------------+
| Win Rate (%) | 33.1% | 59.4% |
Prefix |
| Checks/Win (avg) | 48,512.59214501511 | 39,655.78787878788 |
Prefix |
| Time/Win (avg) | 0.1236s | 0.1035s |
Prefix |
| Best Case (checks) | 1,270 | 449 |
Prefix |
| Consistency (range) | 92,820 | 84,771 |
Prefix |
+------------------------+----------------+----------------+-------------+
[Final Conclusion]
Overall Winner: PREFIX_SEARCH
Primary Reason: Lower average number of checks per win
Advantage Margin: 26.3% in wins | 8,856.804266227227 checks/win[Raw Statistics]
• Total Checks Executed:
- Sequential = 50,125,349
- Prefix = 49,458,848• Total Time Accumulated:
- Sequential = 128.09s
- Prefix = 128.93sCongratulations!