Add bitwise program

[pefontana]

Add bitwise program

Checklist

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

[github-actions[bot]]

**Hyper Thereading Benchmark results**

hyperfine -r 2 -n "hyper_threading_main threads: 1" 'RAYON_NUM_THREADS=1 ./hyper_threading_main' -n "hyper_threading_pr threads: 1" 'RAYON_NUM_THREADS=1 ./hyper_threading_pr'
Benchmark 1: hyper_threading_main threads: 1
  Time (mean ± σ):     23.635 s ±  0.211 s    [User: 22.899 s, System: 0.734 s]
  Range (min … max):   23.486 s … 23.784 s    2 runs

Benchmark 2: hyper_threading_pr threads: 1
  Time (mean ± σ):     23.645 s ±  0.031 s    [User: 22.878 s, System: 0.766 s]
  Range (min … max):   23.623 s … 23.667 s    2 runs

Summary
  'hyper_threading_main threads: 1' ran
    1.00 ± 0.01 times faster than 'hyper_threading_pr threads: 1'

hyperfine -r 2 -n "hyper_threading_main threads: 2" 'RAYON_NUM_THREADS=2 ./hyper_threading_main' -n "hyper_threading_pr threads: 2" 'RAYON_NUM_THREADS=2 ./hyper_threading_pr'
Benchmark 1: hyper_threading_main threads: 2
  Time (mean ± σ):     12.284 s ±  0.077 s    [User: 23.199 s, System: 0.705 s]
  Range (min … max):   12.229 s … 12.338 s    2 runs

Benchmark 2: hyper_threading_pr threads: 2
  Time (mean ± σ):     12.345 s ±  0.098 s    [User: 23.273 s, System: 0.758 s]
  Range (min … max):   12.275 s … 12.414 s    2 runs

Summary
  'hyper_threading_main threads: 2' ran
    1.00 ± 0.01 times faster than 'hyper_threading_pr threads: 2'

hyperfine -r 2 -n "hyper_threading_main threads: 4" 'RAYON_NUM_THREADS=4 ./hyper_threading_main' -n "hyper_threading_pr threads: 4" 'RAYON_NUM_THREADS=4 ./hyper_threading_pr'
Benchmark 1: hyper_threading_main threads: 4
  Time (mean ± σ):      9.983 s ±  0.031 s    [User: 35.048 s, System: 0.937 s]
  Range (min … max):    9.961 s … 10.004 s    2 runs

Benchmark 2: hyper_threading_pr threads: 4
  Time (mean ± σ):      9.623 s ±  0.134 s    [User: 35.393 s, System: 1.029 s]
  Range (min … max):    9.529 s …  9.718 s    2 runs

Summary
  'hyper_threading_pr threads: 4' ran
    1.04 ± 0.01 times faster than 'hyper_threading_main threads: 4'

hyperfine -r 2 -n "hyper_threading_main threads: 6" 'RAYON_NUM_THREADS=6 ./hyper_threading_main' -n "hyper_threading_pr threads: 6" 'RAYON_NUM_THREADS=6 ./hyper_threading_pr'
Benchmark 1: hyper_threading_main threads: 6
  Time (mean ± σ):      9.956 s ±  0.096 s    [User: 35.272 s, System: 1.036 s]
  Range (min … max):    9.888 s … 10.023 s    2 runs

Benchmark 2: hyper_threading_pr threads: 6
  Time (mean ± σ):      9.790 s ±  0.001 s    [User: 35.219 s, System: 0.993 s]
  Range (min … max):    9.790 s …  9.791 s    2 runs

Summary
  'hyper_threading_pr threads: 6' ran
    1.02 ± 0.01 times faster than 'hyper_threading_main threads: 6'

hyperfine -r 2 -n "hyper_threading_main threads: 8" 'RAYON_NUM_THREADS=8 ./hyper_threading_main' -n "hyper_threading_pr threads: 8" 'RAYON_NUM_THREADS=8 ./hyper_threading_pr'
Benchmark 1: hyper_threading_main threads: 8
  Time (mean ± σ):      9.657 s ±  0.015 s    [User: 35.416 s, System: 1.021 s]
  Range (min … max):    9.647 s …  9.668 s    2 runs

Benchmark 2: hyper_threading_pr threads: 8
  Time (mean ± σ):      9.666 s ±  0.198 s    [User: 35.635 s, System: 1.011 s]
  Range (min … max):    9.526 s …  9.806 s    2 runs

Summary
  'hyper_threading_main threads: 8' ran
    1.00 ± 0.02 times faster than 'hyper_threading_pr threads: 8'

hyperfine -r 2 -n "hyper_threading_main threads: 16" 'RAYON_NUM_THREADS=16 ./hyper_threading_main' -n "hyper_threading_pr threads: 16" 'RAYON_NUM_THREADS=16 ./hyper_threading_pr'
Benchmark 1: hyper_threading_main threads: 16
  Time (mean ± σ):      9.627 s ±  0.190 s    [User: 35.881 s, System: 1.088 s]
  Range (min … max):    9.493 s …  9.761 s    2 runs

Benchmark 2: hyper_threading_pr threads: 16
  Time (mean ± σ):      9.828 s ±  0.084 s    [User: 35.701 s, System: 1.036 s]
  Range (min … max):    9.768 s …  9.888 s    2 runs

Summary
  'hyper_threading_main threads: 16' ran
    1.02 ± 0.02 times faster than 'hyper_threading_pr threads: 16'

[codecov[bot]]

Codecov Report

All modified and coverable lines are covered by tests :white_check_mark:

Project coverage is 94.80%. Comparing base (7796f24) to head (f525cb1).

Additional details and impacted files

```diff @@ Coverage Diff @@ ## main #1725 +/- ## ======================================= Coverage 94.80% 94.80% ======================================= Files 100 100 Lines 38212 38213 +1 ======================================= + Hits 36225 36228 +3 + Misses 1987 1985 -2 ```

:umbrella: View full report in Codecov by Sentry.
:loudspeaker: Have feedback on the report? Share it here.

[github-actions[bot]]

Benchmark Results for unmodified programs :rocket:

Command	Mean [s]	Min [s]	Max [s]	Relative
base big_factorial	1.925 ± 0.060	1.875	2.089	1.01 ± 0.04
head big_factorial	1.900 ± 0.047	1.866	2.014	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base big_fibonacci	1.847 ± 0.049	1.806	1.977	1.00 ± 0.04
head big_fibonacci	1.839 ± 0.058	1.789	1.977	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base blake2s_integration_benchmark	6.407 ± 0.133	6.247	6.694	1.00
head blake2s_integration_benchmark	6.458 ± 0.222	6.276	6.967	1.01 ± 0.04

Command	Mean [s]	Min [s]	Max [s]	Relative
base compare_arrays_200000	1.900 ± 0.035	1.862	1.964	1.01 ± 0.02
head compare_arrays_200000	1.888 ± 0.024	1.857	1.917	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base dict_integration_benchmark	1.288 ± 0.017	1.268	1.312	1.01 ± 0.02
head dict_integration_benchmark	1.275 ± 0.011	1.264	1.295	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base field_arithmetic_get_square_benchmark	1.156 ± 0.014	1.133	1.170	1.00 ± 0.02
head field_arithmetic_get_square_benchmark	1.155 ± 0.018	1.141	1.199	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base integration_builtins	6.565 ± 0.119	6.349	6.770	1.00
head integration_builtins	6.575 ± 0.326	6.309	7.198	1.00 ± 0.05

Command	Mean [s]	Min [s]	Max [s]	Relative
base keccak_integration_benchmark	6.655 ± 0.125	6.547	6.972	1.00
head keccak_integration_benchmark	6.692 ± 0.148	6.517	6.917	1.01 ± 0.03

Command	Mean [s]	Min [s]	Max [s]	Relative
base linear_search	1.906 ± 0.023	1.887	1.947	1.00
head linear_search	1.923 ± 0.026	1.887	1.966	1.01 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base math_cmp_and_pow_integration_benchmark	1.653 ± 0.016	1.638	1.681	1.00
head math_cmp_and_pow_integration_benchmark	1.672 ± 0.026	1.642	1.730	1.01 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base math_integration_benchmark	1.450 ± 0.014	1.428	1.466	1.00
head math_integration_benchmark	1.454 ± 0.018	1.432	1.483	1.00 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base memory_integration_benchmark	1.113 ± 0.015	1.093	1.128	1.00
head memory_integration_benchmark	1.120 ± 0.013	1.102	1.135	1.01 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base operations_with_data_structures_benchmarks	1.751 ± 0.016	1.730	1.769	1.01 ± 0.01
head operations_with_data_structures_benchmarks	1.737 ± 0.014	1.723	1.757	1.00

Command	Mean [ms]	Min [ms]	Max [ms]	Relative
base pedersen	508.7 ± 12.2	496.3	535.1	1.02 ± 0.03
head pedersen	500.4 ± 3.8	496.0	507.2	1.00

Command	Mean [ms]	Min [ms]	Max [ms]	Relative
base poseidon_integration_benchmark	949.7 ± 11.5	933.4	966.0	1.01 ± 0.02
head poseidon_integration_benchmark	942.6 ± 9.0	930.9	960.8	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base secp_integration_benchmark	1.727 ± 0.019	1.714	1.776	1.00
head secp_integration_benchmark	1.742 ± 0.025	1.716	1.800	1.01 ± 0.02

Command	Mean [ms]	Min [ms]	Max [ms]	Relative
base set_integration_benchmark	704.0 ± 7.5	698.8	723.6	1.00
head set_integration_benchmark	708.5 ± 10.9	699.8	737.4	1.01 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base uint256_integration_benchmark	3.709 ± 0.052	3.664	3.788	1.00
head uint256_integration_benchmark	3.804 ± 0.172	3.662	4.253	1.03 ± 0.05