Update rust version

[pefontana]

Update rust version

Update rust version to 1.81.0

Description of the pull request changes and motivation.

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.

[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):     30.228 s ±  0.041 s    [User: 29.401 s, System: 0.824 s]
  Range (min … max):   30.199 s … 30.256 s    2 runs

Benchmark 2: hyper_threading_pr threads: 1
  Time (mean ± σ):     33.536 s ±  0.102 s    [User: 32.748 s, System: 0.786 s]
  Range (min … max):   33.464 s … 33.608 s    2 runs

Summary
  'hyper_threading_main threads: 1' ran
    1.11 ± 0.00 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):     16.751 s ±  0.035 s    [User: 29.290 s, System: 0.874 s]
  Range (min … max):   16.726 s … 16.776 s    2 runs

Benchmark 2: hyper_threading_pr threads: 2
  Time (mean ± σ):     18.031 s ±  0.017 s    [User: 31.389 s, System: 0.869 s]
  Range (min … max):   18.019 s … 18.043 s    2 runs

Summary
  'hyper_threading_main threads: 2' ran
    1.08 ± 0.00 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):     11.856 s ±  0.226 s    [User: 41.842 s, System: 1.000 s]
  Range (min … max):   11.696 s … 12.016 s    2 runs

Benchmark 2: hyper_threading_pr threads: 4
  Time (mean ± σ):     12.645 s ±  0.245 s    [User: 43.234 s, System: 0.967 s]
  Range (min … max):   12.472 s … 12.818 s    2 runs

Summary
  'hyper_threading_main threads: 4' ran
    1.07 ± 0.03 times faster than 'hyper_threading_pr 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):     11.377 s ±  0.122 s    [User: 42.347 s, System: 1.080 s]
  Range (min … max):   11.291 s … 11.463 s    2 runs

Benchmark 2: hyper_threading_pr threads: 6
  Time (mean ± σ):     12.007 s ±  0.325 s    [User: 43.829 s, System: 1.048 s]
  Range (min … max):   11.777 s … 12.237 s    2 runs

Summary
  'hyper_threading_main threads: 6' ran
    1.06 ± 0.03 times faster than 'hyper_threading_pr 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):     11.400 s ±  0.008 s    [User: 42.308 s, System: 1.050 s]
  Range (min … max):   11.395 s … 11.406 s    2 runs

Benchmark 2: hyper_threading_pr threads: 8
  Time (mean ± σ):     11.918 s ±  0.206 s    [User: 44.010 s, System: 1.051 s]
  Range (min … max):   11.772 s … 12.063 s    2 runs

Summary
  'hyper_threading_main threads: 8' ran
    1.05 ± 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):     11.576 s ±  0.242 s    [User: 42.644 s, System: 1.084 s]
  Range (min … max):   11.405 s … 11.747 s    2 runs

Benchmark 2: hyper_threading_pr threads: 16
  Time (mean ± σ):     11.814 s ±  0.223 s    [User: 44.443 s, System: 1.082 s]
  Range (min … max):   11.656 s … 11.972 s    2 runs

Summary
  'hyper_threading_main threads: 16' ran
    1.02 ± 0.03 times faster than 'hyper_threading_pr threads: 16'

[github-actions[bot]]

Benchmark Results for unmodified programs :rocket:

Command	Mean [s]	Min [s]	Max [s]	Relative
base big_factorial	2.410 ± 0.024	2.386	2.470	1.00
head big_factorial	2.463 ± 0.024	2.426	2.487	1.02 ± 0.01

Command	Mean [s]	Min [s]	Max [s]	Relative
base big_fibonacci	2.383 ± 0.101	2.325	2.638	1.00
head big_fibonacci	2.410 ± 0.027	2.375	2.438	1.01 ± 0.04

Command	Mean [s]	Min [s]	Max [s]	Relative
base blake2s_integration_benchmark	8.611 ± 0.200	8.369	8.930	1.00
head blake2s_integration_benchmark	9.251 ± 0.452	8.913	10.251	1.07 ± 0.06

Command	Mean [s]	Min [s]	Max [s]	Relative
base compare_arrays_200000	2.494 ± 0.099	2.445	2.771	1.00
head compare_arrays_200000	2.555 ± 0.064	2.490	2.724	1.02 ± 0.05

Command	Mean [s]	Min [s]	Max [s]	Relative
base dict_integration_benchmark	1.651 ± 0.044	1.617	1.736	1.00
head dict_integration_benchmark	1.657 ± 0.024	1.637	1.702	1.00 ± 0.03

Command	Mean [s]	Min [s]	Max [s]	Relative
base field_arithmetic_get_square_benchmark	1.387 ± 0.020	1.358	1.435	1.00
head field_arithmetic_get_square_benchmark	1.421 ± 0.021	1.394	1.460	1.02 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base integration_builtins	8.679 ± 0.157	8.506	8.905	1.00
head integration_builtins	9.163 ± 0.202	9.007	9.647	1.06 ± 0.03

Command	Mean [s]	Min [s]	Max [s]	Relative
base keccak_integration_benchmark	9.090 ± 0.376	8.689	9.857	1.00
head keccak_integration_benchmark	9.426 ± 0.089	9.264	9.514	1.04 ± 0.04

Command	Mean [s]	Min [s]	Max [s]	Relative
base linear_search	2.473 ± 0.023	2.452	2.525	1.00
head linear_search	2.550 ± 0.054	2.489	2.666	1.03 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base math_cmp_and_pow_integration_benchmark	1.697 ± 0.020	1.684	1.752	1.00
head math_cmp_and_pow_integration_benchmark	1.716 ± 0.018	1.694	1.744	1.01 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base math_integration_benchmark	1.673 ± 0.050	1.650	1.815	1.00
head math_integration_benchmark	1.689 ± 0.036	1.652	1.778	1.01 ± 0.04

Command	Mean [s]	Min [s]	Max [s]	Relative
base memory_integration_benchmark	1.391 ± 0.019	1.374	1.442	1.00
head memory_integration_benchmark	1.414 ± 0.024	1.392	1.475	1.02 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base operations_with_data_structures_benchmarks	1.774 ± 0.033	1.745	1.853	1.00
head operations_with_data_structures_benchmarks	1.799 ± 0.024	1.771	1.849	1.01 ± 0.02

Command	Mean [ms]	Min [ms]	Max [ms]	Relative
base pedersen	572.9 ± 5.0	567.2	582.4	1.00
head pedersen	586.7 ± 4.9	582.9	600.1	1.02 ± 0.01

Command	Mean [ms]	Min [ms]	Max [ms]	Relative
base poseidon_integration_benchmark	669.3 ± 6.3	663.7	683.8	1.00
head poseidon_integration_benchmark	675.6 ± 9.9	666.3	698.9	1.01 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base secp_integration_benchmark	2.004 ± 0.045	1.967	2.124	1.00
head secp_integration_benchmark	2.059 ± 0.039	2.025	2.149	1.03 ± 0.03

Command	Mean [ms]	Min [ms]	Max [ms]	Relative
base set_integration_benchmark	693.3 ± 0.9	692.1	694.9	1.02 ± 0.02
head set_integration_benchmark	679.0 ± 11.0	667.9	696.0	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base uint256_integration_benchmark	4.866 ± 0.152	4.705	5.108	1.00
head uint256_integration_benchmark	5.003 ± 0.045	4.926	5.050	1.03 ± 0.03

[codecov[bot]]

Codecov Report

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

Project coverage is 96.32%. Comparing base (3fb0344) to head (e0a3c49). Report is 1 commits behind head on main.

Additional details and impacted files

```diff @@ Coverage Diff @@ ## main #1857 +/- ## ========================================== - Coverage 96.32% 96.32% -0.01% ========================================== Files 102 102 Lines 40381 40315 -66 ========================================== - Hits 38899 38832 -67 - Misses 1482 1483 +1 ```

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