Simulate various DiffAdjDivisor values to determine the time required to increase the difficulty level to the specified target

[qzhodl]

Iterations: python es_mc.py 1024 iterations

• init diff: 20 replicas
• Iterations: 1000
• mining power: 20 replicas
• simulation rounds: 100

EthStorage (next_block_time_exp)

DiffAdjDivisor	Block time mean	Block time standard variance	Coefficient of variation
1024	10732 hrs	11479 hrs	1.07
32	10192 hrs	10187 hrs	0.99

Ethereum (next_block_time_iter)

DiffAdjDivisor	Block time mean	Block time standard variance	Coefficient of variation
1024	10382 hrs	10903 hrs	1.05
32	10049 hrs	10105 hrs	1.00

Conclusion: No big differences in standard variance

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grow_to_diff: python es_mc.py 1024 grow_to_diff

• init diff: 10 replicas
• target diff: 20 replicas
• mining power: 20 replicas
• simulation rounds: 100

EthStorage

DiffAdjDivisor	Duration mean	Duration standard variance	Coefficient of variation
1024	19192 hrs	12655 hrs	0.65
32	182 hrs	111 hrs	0.61

Ethereum

DiffAdjDivisor	Duration mean	Duration standard variance	Coefficient of variation
1024	18292 hrs	10338 hrs	0.56
32	182 hrs	118 hrs	0.64

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drop_to_diff: python es_mc.py 1024 drop_to_diff

• init diff: 40 replicas
• target diff: 20 replicas
• mining power: 20 replicas
• simulation rounds: 100

EthStorage

DiffAdjDivisor	Duration mean	Duration standard variance	Coefficient of variation
1024	6454 hrs	847 hrs	0.13
32	156 hrs	58 hrs	0.37

Ethereum

DiffAdjDivisor	Duration mean	Duration standard variance	Coefficient of variation
1024	6608 hrs	1089 hrs	0.16
32	136 hrs	56 hrs	0.41