chore: use LambdaWorks' implementation of bit operations

[MegaRedHand]

Description

Since some of these implementations were moved upstream, we can just use them.

Checklist

• Linked to Github Issue
• Unit tests added
• Integration tests added.
• This change requires new documentation.
  • Documentation has been added/updated.
  • CHANGELOG has been updated.

[codecov]

Codecov Report

Merging #1291 (6abd177) into main (9ba3c6a) will not change coverage.
The diff coverage is n/a.

@@           Coverage Diff           @@
##             main    #1291   +/-   ##
=======================================
  Coverage   97.56%   97.56%           
=======================================
  Files          90       90           
  Lines       36260    36260           
=======================================
  Hits        35377    35377           
  Misses        883      883           

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[github-actions]

Benchmark Results for unmodified programs 🚀

Command	Mean [s]	Min [s]	Max [s]	Relative
base blake2s_integration_benchmark	11.131 ± 0.025	11.109	11.176	1.00
head blake2s_integration_benchmark	11.161 ± 0.039	11.114	11.224	1.00 ± 0.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base compare_arrays_200000	3.875 ± 0.007	3.865	3.885	1.00
head compare_arrays_200000	3.893 ± 0.012	3.877	3.913	1.00 ± 0.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base dict_integration_benchmark	2.583 ± 0.011	2.568	2.602	1.01 ± 0.01
head dict_integration_benchmark	2.570 ± 0.009	2.562	2.594	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base factorial_multirun	4.148 ± 0.010	4.137	4.171	1.00
head factorial_multirun	4.158 ± 0.023	4.140	4.221	1.00 ± 0.01

Command	Mean [s]	Min [s]	Max [s]	Relative
base fibonacci_1000_multirun	3.539 ± 0.009	3.527	3.558	1.00 ± 0.00
head fibonacci_1000_multirun	3.530 ± 0.003	3.525	3.535	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base field_arithmetic_get_square_benchmark	1.921 ± 0.006	1.912	1.930	1.00
head field_arithmetic_get_square_benchmark	1.925 ± 0.012	1.915	1.948	1.00 ± 0.01

Command	Mean [s]	Min [s]	Max [s]	Relative
base integration_builtins	9.949 ± 0.047	9.915	10.068	1.00
head integration_builtins	9.954 ± 0.023	9.925	9.987	1.00 ± 0.01

Command	Mean [s]	Min [s]	Max [s]	Relative
base keccak_integration_benchmark	11.304 ± 0.064	11.228	11.450	1.00 ± 0.01
head keccak_integration_benchmark	11.294 ± 0.034	11.244	11.365	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base linear_search	3.883 ± 0.019	3.864	3.921	1.00
head linear_search	3.900 ± 0.021	3.877	3.927	1.00 ± 0.01

Command	Mean [s]	Min [s]	Max [s]	Relative
base math_cmp_and_pow_integration_benchmark	2.791 ± 0.010	2.781	2.814	1.00 ± 0.00
head math_cmp_and_pow_integration_benchmark	2.783 ± 0.008	2.775	2.801	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base math_integration_benchmark	2.537 ± 0.008	2.523	2.549	1.00 ± 0.00
head math_integration_benchmark	2.531 ± 0.006	2.520	2.541	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base memory_integration_benchmark	2.206 ± 0.005	2.199	2.215	1.00
head memory_integration_benchmark	2.217 ± 0.005	2.211	2.224	1.00 ± 0.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base operations_with_data_structures_benchmarks	2.479 ± 0.006	2.472	2.491	1.00 ± 0.00
head operations_with_data_structures_benchmarks	2.478 ± 0.006	2.470	2.489	1.00

Command	Mean [ms]	Min [ms]	Max [ms]	Relative
base pedersen	848.3 ± 3.7	846.3	858.8	1.00
head pedersen	848.7 ± 1.9	846.1	851.9	1.00 ± 0.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base poseidon_integration_benchmark	1.539 ± 0.007	1.531	1.557	1.00
head poseidon_integration_benchmark	1.540 ± 0.004	1.535	1.548	1.00 ± 0.01

Command	Mean [s]	Min [s]	Max [s]	Relative
base secp_integration_benchmark	2.953 ± 0.006	2.948	2.965	1.00 ± 0.00
head secp_integration_benchmark	2.945 ± 0.005	2.938	2.954	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base set_integration_benchmark	1.499 ± 0.002	1.496	1.501	1.00 ± 0.00
head set_integration_benchmark	1.497 ± 0.003	1.494	1.504	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base uint256_integration_benchmark	7.175 ± 0.042	7.141	7.244	1.00
head uint256_integration_benchmark	7.183 ± 0.028	7.161	7.252	1.00 ± 0.01