feat: multiple rounds of analysis mode

[not-matthias]

No description provided.

[codspeed-hq]

Merging this PR will degrade performance by 99.98%

⚡ 40 improved benchmarks
❌ 131 regressed benchmarks
✅ 404 untouched benchmarks

⚠️Please fix the performance issues or acknowledge them on CodSpeed.

Performance Changes

	Mode	Benchmark	BASE	HEAD	Efficiency
❌	WallTime	small_drop	2 ns	56 ns	-96.43%
⚡	WallTime	iter_with_setup	50 ns	48 ns	+4.17%
⚡	WallTime	iter_batched_per_iteration	48 ns	44 ns	+9.09%
❌	WallTime	generate_combinations[9]	5.1 µs	7.5 µs	-31.69%
⚡	WallTime	generate_parentheses[6]	71.7 µs	68.9 µs	+4.07%
⚡	WallTime	hamiltonian_cycle[7]	2.2 µs	1.1 µs	×2
⚡	WallTime	hamiltonian_cycle[6]	1.9 µs	1.3 µs	+47.07%
⚡	WallTime	graph_coloring[4]	1,307 ns	968 ns	+35.02%
⚡	WallTime	recursive_memoized[BTreeMap<u64, u64>, 10]	1,007 ns	611 ns	+64.81%
⚡	WallTime	add_two_integers[(255, 255)]	7 ns	6 ns	+16.67%
⚡	WallTime	generate_combinations[5]	1.6 µs	1.2 µs	+31.4%
⚡	WallTime	add_two_integers[(42, 13)]	7 ns	6 ns	+16.67%
⚡	WallTime	hamiltonian_cycle[5]	1,007 ns	953 ns	+5.67%
❌	WallTime	system_time	38 ns	42 ns	-9.52%
❌	Simulation	rat_in_maze[6]	6.1 µs	1,895.7 µs	-99.68%
❌	Simulation	vec_copy_with_bytes_counter	888.9 ns	541,020.8 ns	-99.84%
❌	Simulation	rat_in_maze[8]	6.8 µs	1,940.9 µs	-99.65%
❌	Simulation	permutations[7]	1.3 ms	2.5 ms	-48.44%
❌	Simulation	generate_parentheses[5]	45.1 µs	2,090.2 µs	-97.84%
❌	Simulation	rat_in_maze[5]	5.7 µs	1,868.5 µs	-99.7%
...	...	...	...	...	...

ℹ️ Only the first 20 benchmarks are displayed. Go to the app to view all benchmarks.

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_{Comparing cod-2097-multiple-rounds-of-analysis-mode-to-reduce-variance (71187bd) with main (7fc87c3)}