Show only layout builtins in air private input

[fmoletta]

When converting to serializable format, the air private input contained all the builtins instead of only the ones present in the layout, this worked fine when running with starknet_with_keccak layout but produces a different output from cairo_lang when using a different layout that doesn't use all the builtins

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 97.68%. Comparing base (7566aa5) to head (287f313).

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #1651   +/-   ##
=======================================
  Coverage   97.68%   97.68%           
=======================================
  Files          91       91           
  Lines       37668    37681   +13     
=======================================
+ Hits        36796    36809   +13     
  Misses        872      872           

☔ View full report in Codecov by Sentry.
📢 Have feedback on the report? Share it here.

[github-actions]

Benchmark Results for unmodified programs 🚀

Command	Mean [s]	Min [s]	Max [s]	Relative
base big_factorial	2.268 ± 0.051	2.232	2.402	1.00
head big_factorial	2.287 ± 0.026	2.251	2.330	1.01 ± 0.03

Command	Mean [s]	Min [s]	Max [s]	Relative
base big_fibonacci	2.272 ± 0.026	2.251	2.340	1.01 ± 0.01
head big_fibonacci	2.240 ± 0.018	2.208	2.264	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base blake2s_integration_benchmark	8.433 ± 0.354	8.244	9.348	1.00
head blake2s_integration_benchmark	8.666 ± 0.359	8.428	9.500	1.03 ± 0.06

Command	Mean [s]	Min [s]	Max [s]	Relative
base compare_arrays_200000	2.330 ± 0.028	2.305	2.391	1.00
head compare_arrays_200000	2.382 ± 0.056	2.339	2.525	1.02 ± 0.03

Command	Mean [s]	Min [s]	Max [s]	Relative
base dict_integration_benchmark	1.446 ± 0.017	1.429	1.484	1.00
head dict_integration_benchmark	1.460 ± 0.014	1.445	1.497	1.01 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base field_arithmetic_get_square_benchmark	1.308 ± 0.018	1.292	1.354	1.00
head field_arithmetic_get_square_benchmark	1.310 ± 0.003	1.306	1.314	1.00 ± 0.01

Command	Mean [s]	Min [s]	Max [s]	Relative
base integration_builtins	8.481 ± 0.121	8.303	8.644	1.00
head integration_builtins	8.543 ± 0.037	8.481	8.605	1.01 ± 0.01

Command	Mean [s]	Min [s]	Max [s]	Relative
base keccak_integration_benchmark	8.705 ± 0.116	8.556	8.838	1.00
head keccak_integration_benchmark	8.948 ± 0.364	8.683	9.851	1.03 ± 0.04

Command	Mean [s]	Min [s]	Max [s]	Relative
base linear_search	2.335 ± 0.017	2.317	2.371	1.00
head linear_search	2.382 ± 0.020	2.367	2.427	1.02 ± 0.01

Command	Mean [s]	Min [s]	Max [s]	Relative
base math_cmp_and_pow_integration_benchmark	1.601 ± 0.021	1.577	1.641	1.00
head math_cmp_and_pow_integration_benchmark	1.604 ± 0.010	1.593	1.627	1.00 ± 0.01

Command	Mean [s]	Min [s]	Max [s]	Relative
base math_integration_benchmark	1.442 ± 0.009	1.425	1.456	1.00
head math_integration_benchmark	1.444 ± 0.005	1.434	1.450	1.00 ± 0.01

Command	Mean [s]	Min [s]	Max [s]	Relative
base memory_integration_benchmark	1.252 ± 0.011	1.243	1.270	1.00
head memory_integration_benchmark	1.273 ± 0.006	1.264	1.279	1.02 ± 0.01

Command	Mean [s]	Min [s]	Max [s]	Relative
base operations_with_data_structures_benchmarks	1.617 ± 0.005	1.608	1.626	1.00
head operations_with_data_structures_benchmarks	1.640 ± 0.025	1.621	1.691	1.01 ± 0.02

Command	Mean [ms]	Min [ms]	Max [ms]	Relative
base pedersen	595.2 ± 2.4	593.4	601.6	1.00
head pedersen	595.5 ± 2.3	590.2	598.4	1.00 ± 0.01

Command	Mean [s]	Min [s]	Max [s]	Relative
base poseidon_integration_benchmark	1.002 ± 0.003	0.999	1.009	1.00
head poseidon_integration_benchmark	1.010 ± 0.020	0.999	1.066	1.01 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base secp_integration_benchmark	1.890 ± 0.032	1.872	1.978	1.00
head secp_integration_benchmark	1.930 ± 0.060	1.876	2.080	1.02 ± 0.04

Command	Mean [ms]	Min [ms]	Max [ms]	Relative
base set_integration_benchmark	728.2 ± 6.4	721.0	740.4	1.00
head set_integration_benchmark	731.6 ± 12.1	723.2	764.8	1.00 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base uint256_integration_benchmark	4.611 ± 0.018	4.583	4.640	1.00
head uint256_integration_benchmark	4.691 ± 0.027	4.651	4.724	1.02 ± 0.01

[pefontana]

LGTM!!!