Avoid cloning constants when compiling hints

[JulianGCalderon]

Avoid cloning constants when compiling hints

Description

By changing the compile_hint parameter type to Arc instead of Rc, we can reuse the constants that are already included in Program. This avoids cloning all the constants.

This PR is breaking, as the constants parameter of compile_hints was changed from Rc to Arc. This allows to reuse the already extracted constants, and not have to clone it.

[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):     24.548 s ±  0.020 s    [User: 23.740 s, System: 0.805 s]
  Range (min … max):   24.534 s … 24.562 s    2 runs
 
Benchmark 2: hyper_threading_pr threads: 1
  Time (mean ± σ):     24.547 s ±  0.030 s    [User: 23.732 s, System: 0.813 s]
  Range (min … max):   24.526 s … 24.569 s    2 runs
 
Summary
  hyper_threading_pr threads: 1 ran
    1.00 ± 0.00 times faster than hyper_threading_main 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):     13.347 s ±  0.008 s    [User: 23.780 s, System: 0.875 s]
  Range (min … max):   13.342 s … 13.353 s    2 runs
 
Benchmark 2: hyper_threading_pr threads: 2
  Time (mean ± σ):     13.432 s ±  0.077 s    [User: 23.927 s, System: 0.851 s]
  Range (min … max):   13.378 s … 13.486 s    2 runs
 
Summary
  hyper_threading_main threads: 2 ran
    1.01 ± 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):     10.149 s ±  0.152 s    [User: 36.256 s, System: 0.993 s]
  Range (min … max):   10.041 s … 10.257 s    2 runs
 
Benchmark 2: hyper_threading_pr threads: 4
  Time (mean ± σ):     10.147 s ±  0.240 s    [User: 36.063 s, System: 1.015 s]
  Range (min … max):    9.977 s … 10.316 s    2 runs
 
Summary
  hyper_threading_pr threads: 4 ran
    1.00 ± 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):     10.041 s ±  0.201 s    [User: 36.419 s, System: 1.018 s]
  Range (min … max):    9.898 s … 10.183 s    2 runs
 
Benchmark 2: hyper_threading_pr threads: 6
  Time (mean ± σ):     10.065 s ±  0.119 s    [User: 36.074 s, System: 1.017 s]
  Range (min … max):    9.981 s … 10.150 s    2 runs
 
Summary
  hyper_threading_main threads: 6 ran
    1.00 ± 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):      9.825 s ±  0.011 s    [User: 37.025 s, System: 1.038 s]
  Range (min … max):    9.817 s …  9.833 s    2 runs
 
Benchmark 2: hyper_threading_pr threads: 8
  Time (mean ± σ):      9.826 s ±  0.079 s    [User: 37.014 s, System: 1.021 s]
  Range (min … max):    9.770 s …  9.882 s    2 runs
 
Summary
  hyper_threading_main threads: 8 ran
    1.00 ± 0.01 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):     10.056 s ±  0.102 s    [User: 37.122 s, System: 1.102 s]
  Range (min … max):    9.984 s … 10.127 s    2 runs
 
Benchmark 2: hyper_threading_pr threads: 16
  Time (mean ± σ):      9.763 s ±  0.008 s    [User: 37.188 s, System: 1.114 s]
  Range (min … max):    9.758 s …  9.769 s    2 runs
 
Summary
  hyper_threading_pr threads: 16 ran
    1.03 ± 0.01 times faster than hyper_threading_main threads: 16

[github-actions]

Benchmark Results for unmodified programs 🚀

Command	Mean [s]	Min [s]	Max [s]	Relative
base big_factorial	2.079 ± 0.011	2.068	2.105	1.00
head big_factorial	2.103 ± 0.078	2.057	2.322	1.01 ± 0.04

Command	Mean [s]	Min [s]	Max [s]	Relative
base big_fibonacci	2.006 ± 0.019	1.976	2.037	1.00
head big_fibonacci	2.023 ± 0.013	1.999	2.040	1.01 ± 0.01

Command	Mean [s]	Min [s]	Max [s]	Relative
base blake2s_integration_benchmark	7.216 ± 0.117	7.023	7.482	1.00
head blake2s_integration_benchmark	7.487 ± 0.051	7.400	7.538	1.04 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base compare_arrays_200000	2.122 ± 0.027	2.087	2.183	1.00
head compare_arrays_200000	2.130 ± 0.021	2.112	2.183	1.00 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base dict_integration_benchmark	1.395 ± 0.007	1.387	1.410	1.00
head dict_integration_benchmark	1.398 ± 0.009	1.388	1.423	1.00 ± 0.01

Command	Mean [s]	Min [s]	Max [s]	Relative
base field_arithmetic_get_square_benchmark	1.182 ± 0.007	1.172	1.191	1.00
head field_arithmetic_get_square_benchmark	1.213 ± 0.006	1.207	1.223	1.03 ± 0.01

Command	Mean [s]	Min [s]	Max [s]	Relative
base integration_builtins	7.266 ± 0.075	7.148	7.391	1.00
head integration_builtins	7.747 ± 0.599	7.494	9.445	1.07 ± 0.08

Command	Mean [s]	Min [s]	Max [s]	Relative
base keccak_integration_benchmark	7.315 ± 0.108	7.159	7.430	1.00
head keccak_integration_benchmark	7.621 ± 0.055	7.563	7.716	1.04 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base linear_search	2.093 ± 0.014	2.077	2.120	1.00
head linear_search	2.129 ± 0.007	2.119	2.137	1.02 ± 0.01

Command	Mean [s]	Min [s]	Max [s]	Relative
base math_cmp_and_pow_integration_benchmark	1.476 ± 0.015	1.459	1.506	1.00
head math_cmp_and_pow_integration_benchmark	1.478 ± 0.007	1.469	1.489	1.00 ± 0.01

Command	Mean [s]	Min [s]	Max [s]	Relative
base math_integration_benchmark	1.427 ± 0.013	1.412	1.450	1.00
head math_integration_benchmark	1.433 ± 0.008	1.423	1.446	1.00 ± 0.01

Command	Mean [s]	Min [s]	Max [s]	Relative
base memory_integration_benchmark	1.201 ± 0.016	1.178	1.233	1.01 ± 0.01
head memory_integration_benchmark	1.188 ± 0.006	1.179	1.198	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base operations_with_data_structures_benchmarks	1.505 ± 0.006	1.496	1.512	1.00
head operations_with_data_structures_benchmarks	1.523 ± 0.011	1.504	1.539	1.01 ± 0.01

Command	Mean [ms]	Min [ms]	Max [ms]	Relative
base pedersen	524.6 ± 2.4	520.9	528.8	1.00
head pedersen	525.0 ± 3.3	520.3	530.3	1.00 ± 0.01

Command	Mean [ms]	Min [ms]	Max [ms]	Relative
base poseidon_integration_benchmark	597.4 ± 2.3	594.8	600.9	1.00 ± 0.00
head poseidon_integration_benchmark	594.6 ± 1.4	592.5	597.4	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base secp_integration_benchmark	1.755 ± 0.006	1.745	1.766	1.00
head secp_integration_benchmark	1.782 ± 0.009	1.766	1.794	1.02 ± 0.01

Command	Mean [ms]	Min [ms]	Max [ms]	Relative
base set_integration_benchmark	643.0 ± 4.4	636.9	651.4	1.03 ± 0.01
head set_integration_benchmark	621.3 ± 2.0	618.2	624.6	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base uint256_integration_benchmark	4.075 ± 0.038	4.038	4.167	1.00
head uint256_integration_benchmark	4.216 ± 0.041	4.181	4.323	1.03 ± 0.01

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 96.68%. Comparing base (958ae7e) to head (3ac66b8).

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #2208      +/-   ##
==========================================
- Coverage   96.68%   96.68%   -0.01%     
==========================================
  Files         104      104              
  Lines       44027    44026       -1     
==========================================
- Hits        42566    42565       -1     
  Misses       1461     1461              

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