Set dynamic params as null by default on air public input

[fmoletta]

Closes #1649
dynamic_params are always set to null on the cairo_lang implementation, even if these were to be added in the future, the structure of these params is different to that of CairoLayout, so it doesn't make much sense to keep serializing this struct.
This PR removes the CairoLayout type from the dynamic_params field of AirPublicInput, replacing it with a () type that serializes as null.
This also removes the lifetime from dynamic_params, allowing us to use a representation that is not tied to a lifetime in the layout field (Such as the enum added by #1715)

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 94.81%. Comparing base (a462d8d) to head (dce5188).

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #1716   +/-   ##
=======================================
  Coverage   94.80%   94.81%           
=======================================
  Files         100      100           
  Lines       38214    38207    -7     
=======================================
- Hits        36228    36225    -3     
+ Misses       1986     1982    -4     

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[github-actions]

Benchmark Results for unmodified programs 🚀

Command	Mean [s]	Min [s]	Max [s]	Relative
base big_factorial	1.933 ± 0.040	1.897	2.021	1.00 ± 0.03
head big_factorial	1.931 ± 0.028	1.903	1.981	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base big_fibonacci	1.858 ± 0.030	1.823	1.923	1.00
head big_fibonacci	1.874 ± 0.067	1.828	2.045	1.01 ± 0.04

Command	Mean [s]	Min [s]	Max [s]	Relative
base blake2s_integration_benchmark	6.501 ± 0.146	6.365	6.816	1.00 ± 0.02
head blake2s_integration_benchmark	6.475 ± 0.061	6.351	6.559	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base compare_arrays_200000	1.926 ± 0.051	1.879	2.044	1.00
head compare_arrays_200000	1.945 ± 0.044	1.899	2.056	1.01 ± 0.04

Command	Mean [s]	Min [s]	Max [s]	Relative
base dict_integration_benchmark	1.314 ± 0.016	1.302	1.349	1.00
head dict_integration_benchmark	1.315 ± 0.012	1.299	1.334	1.00 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base field_arithmetic_get_square_benchmark	1.162 ± 0.013	1.149	1.188	1.01 ± 0.01
head field_arithmetic_get_square_benchmark	1.149 ± 0.007	1.140	1.159	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base integration_builtins	6.505 ± 0.081	6.428	6.686	1.00
head integration_builtins	6.540 ± 0.094	6.447	6.693	1.01 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base keccak_integration_benchmark	6.891 ± 0.242	6.635	7.377	1.02 ± 0.04
head keccak_integration_benchmark	6.724 ± 0.081	6.636	6.887	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base linear_search	1.998 ± 0.064	1.942	2.153	1.02 ± 0.03
head linear_search	1.957 ± 0.015	1.934	1.983	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base math_cmp_and_pow_integration_benchmark	1.694 ± 0.018	1.666	1.717	1.00
head math_cmp_and_pow_integration_benchmark	1.695 ± 0.018	1.668	1.732	1.00 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base math_integration_benchmark	1.481 ± 0.036	1.445	1.570	1.00 ± 0.03
head math_integration_benchmark	1.480 ± 0.028	1.458	1.553	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base memory_integration_benchmark	1.155 ± 0.024	1.130	1.205	1.01 ± 0.03
head memory_integration_benchmark	1.144 ± 0.021	1.121	1.193	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base operations_with_data_structures_benchmarks	1.783 ± 0.019	1.761	1.833	1.00
head operations_with_data_structures_benchmarks	1.791 ± 0.041	1.759	1.873	1.00 ± 0.03

Command	Mean [ms]	Min [ms]	Max [ms]	Relative
base pedersen	513.9 ± 8.6	504.0	534.9	1.01 ± 0.02
head pedersen	508.8 ± 3.0	503.6	513.9	1.00

Command	Mean [ms]	Min [ms]	Max [ms]	Relative
base poseidon_integration_benchmark	970.1 ± 22.2	948.4	1026.4	1.01 ± 0.02
head poseidon_integration_benchmark	962.5 ± 4.6	955.6	968.4	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base secp_integration_benchmark	1.758 ± 0.030	1.734	1.822	1.01 ± 0.02
head secp_integration_benchmark	1.743 ± 0.015	1.724	1.774	1.00

Command	Mean [ms]	Min [ms]	Max [ms]	Relative
base set_integration_benchmark	719.2 ± 5.0	709.5	725.6	1.03 ± 0.01
head set_integration_benchmark	697.0 ± 8.6	688.8	719.0	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base uint256_integration_benchmark	3.820 ± 0.083	3.716	3.947	1.00 ± 0.02
head uint256_integration_benchmark	3.801 ± 0.037	3.740	3.839	1.00

[github-actions]

**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):     23.680 s ±  0.083 s    [User: 22.979 s, System: 0.699 s]
  Range (min … max):   23.621 s … 23.739 s    2 runs
 
Benchmark 2: hyper_threading_pr threads: 1
  Time (mean ± σ):     23.775 s ±  0.014 s    [User: 23.004 s, System: 0.770 s]
  Range (min … max):   23.765 s … 23.785 s    2 runs
 
Summary
  'hyper_threading_main threads: 1' ran
    1.00 ± 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):     12.323 s ±  0.106 s    [User: 23.254 s, System: 0.701 s]
  Range (min … max):   12.248 s … 12.398 s    2 runs
 
Benchmark 2: hyper_threading_pr threads: 2
  Time (mean ± σ):     12.353 s ±  0.021 s    [User: 23.426 s, System: 0.755 s]
  Range (min … max):   12.338 s … 12.368 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):     10.065 s ±  0.295 s    [User: 35.026 s, System: 0.899 s]
  Range (min … max):    9.856 s … 10.273 s    2 runs
 
Benchmark 2: hyper_threading_pr threads: 4
  Time (mean ± σ):      9.806 s ±  0.121 s    [User: 34.933 s, System: 0.901 s]
  Range (min … max):    9.720 s …  9.892 s    2 runs
 
Summary
  'hyper_threading_pr threads: 4' ran
    1.03 ± 0.03 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):      9.590 s ±  0.153 s    [User: 35.311 s, System: 0.985 s]
  Range (min … max):    9.482 s …  9.698 s    2 runs
 
Benchmark 2: hyper_threading_pr threads: 6
  Time (mean ± σ):      9.732 s ±  0.134 s    [User: 34.979 s, System: 0.966 s]
  Range (min … max):    9.637 s …  9.826 s    2 runs
 
Summary
  'hyper_threading_main threads: 6' ran
    1.01 ± 0.02 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):      9.667 s ±  0.109 s    [User: 35.332 s, System: 0.970 s]
  Range (min … max):    9.590 s …  9.744 s    2 runs
 
Benchmark 2: hyper_threading_pr threads: 8
  Time (mean ± σ):      9.647 s ±  0.150 s    [User: 35.075 s, System: 1.001 s]
  Range (min … max):    9.541 s …  9.753 s    2 runs
 
Summary
  'hyper_threading_pr threads: 8' ran
    1.00 ± 0.02 times faster than 'hyper_threading_main 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):      9.474 s ±  0.042 s    [User: 35.892 s, System: 1.077 s]
  Range (min … max):    9.444 s …  9.503 s    2 runs
 
Benchmark 2: hyper_threading_pr threads: 16
  Time (mean ± σ):      9.478 s ±  0.192 s    [User: 35.488 s, System: 1.084 s]
  Range (min … max):    9.342 s …  9.614 s    2 runs
 
Summary
  'hyper_threading_main threads: 16' ran
    1.00 ± 0.02 times faster than 'hyper_threading_pr threads: 16'