feat: Updating an SMT solver class

[Sarkoxed]

This pr mostly adds more functionality to smt_solver::Solver class, including

• new options to cvc5 solver config, including verbosity increase and finite field solver choice
• default_solver_config constant so you don't need to initialize it each time
• print_assertions method that converts smt lang to something more readable and outputs it
• tests for solver class

Also it updates and fixes the symbolic terms classes:

• ^ operation is no longer viable with FFITerm, since they are not compatible
• != operation now uses boolean NOT instead of equating the whole term to false
• std::string method now uses smt_solver::stringify_term
• ! operator was added to Bool class

[Rumata888]

Could you add a comment, when this can be useful?

[Rumata888]

Could you explain what is the difference and how it would affect the results?

[Rumata888]

Looks good. Please address my comments and then you can merge

[AztecBot]

Benchmark results

Metrics with a significant change:

• note_trial_decrypting_time_in_ms (8): 111 (+503%)

Detailed results

All benchmarks are run on txs on the Benchmarking contract on the repository. Each tx consists of a batch call to create_note and increment_balance, which guarantees that each tx has a private call, a nested private call, a public call, and a nested public call, as well as an emitted private note, an unencrypted log, and public storage read and write.

This benchmark source data is available in JSON format on S3 here.

Values are compared against data from master at commit f3d9f9b5 and shown if the difference exceeds 1%.

L2 block published to L1

Each column represents the number of txs on an L2 block published to L1.

Metric	8 txs	32 txs	64 txs
l1_rollup_calldata_size_in_bytes	5,700	18,884	36,452
l1_rollup_calldata_gas	66,528	239,444	470,288
l1_rollup_execution_gas	673,991	980,265	1,389,062
l2_block_processing_time_in_ms	1,165 (-3%)	4,410 (+1%)	8,730 (-2%)
note_successful_decrypting_time_in_ms	198 (-7%)	539	978 (-1%)
note_trial_decrypting_time_in_ms	⚠️ 111 (+503%)	56.1 (+1%)	110 (-18%)
l2_block_building_time_in_ms	11,817 (-2%)	47,068 (-1%)	94,042 (-2%)
l2_block_rollup_simulation_time_in_ms	7,189 (-2%)	28,745 (-2%)	57,634 (-2%)
l2_block_public_tx_process_time_in_ms	4,600 (-2%)	18,255 (-1%)	36,266 (-1%)

L2 chain processing

Each column represents the number of blocks on the L2 chain where each block has 16 txs.

Metric	5 blocks	10 blocks
node_history_sync_time_in_ms	15,576 (+10%)	27,320 (+3%)
note_history_successful_decrypting_time_in_ms	1,253	2,416 (+1%)
note_history_trial_decrypting_time_in_ms	99.6 (+9%)	130 (-2%)
node_database_size_in_bytes	18,751,568	35,524,688
pxe_database_size_in_bytes	29,923	59,478

Circuits stats

Stats on running time and I/O sizes collected for every circuit run across all benchmarks.

Circuit	circuit_simulation_time_in_ms	circuit_input_size_in_bytes	circuit_output_size_in_bytes
private-kernel-init	251 (-1%)	44,736	28,001
private-kernel-ordering	194	52,625	14,627
base-rollup	654 (-1%)	177,932	997
root-rollup	68.5 (-1%)	4,320	825
private-kernel-inner	317 (-1%)	73,715	28,001
public-kernel-app-logic	163 (-1%)	34,920	27,972
public-kernel-tail	81.4 (-1%)	34,507	27,972
merge-rollup	8.46	2,840	997

Tree insertion stats

The duration to insert a fixed batch of leaves into each tree type.

Metric	1 leaves	2 leaves	8 leaves	16 leaves	32 leaves	64 leaves	128 leaves	512 leaves	1024 leaves	2048 leaves	4096 leaves
batch_insert_into_append_only_tree_16_depth_ms	9.93 (+1%)	10.4 (-3%)	14.8 (+19%)	16.4 (+2%)	21.4 (-1%)	34.3 (-2%)	N/A	N/A	N/A	N/A	N/A
batch_insert_into_append_only_tree_16_depth_hash_count	16.9	17.5	23.0	31.6	47.0	79.0	N/A	N/A	N/A	N/A	N/A
batch_insert_into_append_only_tree_16_depth_hash_ms	0.575 (+1%)	0.581 (-3%)	0.629 (+19%)	0.506 (+2%)	0.449 (-1%)	0.428 (-2%)	N/A	N/A	N/A	N/A	N/A
batch_insert_into_append_only_tree_32_depth_ms	N/A	N/A	N/A	N/A	N/A	46.4 (+2%)	71.3	227 (-2%)	449 (+1%)	858 (+2%)	1,690 (-1%)
batch_insert_into_append_only_tree_32_depth_hash_count	N/A	N/A	N/A	N/A	N/A	96.0	159	543	1,055	2,079	4,127
batch_insert_into_append_only_tree_32_depth_hash_ms	N/A	N/A	N/A	N/A	N/A	0.475 (+1%)	0.440	0.415 (-1%)	0.419 (+1%)	0.408 (+2%)	0.405 (-1%)
batch_insert_into_indexed_tree_20_depth_ms	N/A	N/A	N/A	N/A	N/A	53.6	105 (-1%)	332 (-2%)	665 (+1%)	1,286 (+1%)	2,536 (-3%)
batch_insert_into_indexed_tree_20_depth_hash_count	N/A	N/A	N/A	N/A	N/A	104	207	691	1,363	2,707	5,395
batch_insert_into_indexed_tree_20_depth_hash_ms	N/A	N/A	N/A	N/A	N/A	0.478	0.475	0.449 (-3%)	0.457	0.446	0.440 (-3%)
batch_insert_into_indexed_tree_40_depth_ms	N/A	N/A	N/A	N/A	61.3 (+1%)	N/A	N/A	N/A	N/A	N/A	N/A
batch_insert_into_indexed_tree_40_depth_hash_count	N/A	N/A	N/A	N/A	109	N/A	N/A	N/A	N/A	N/A	N/A
batch_insert_into_indexed_tree_40_depth_hash_ms	N/A	N/A	N/A	N/A	0.535	N/A	N/A	N/A	N/A	N/A	N/A

Miscellaneous

Transaction sizes based on how many contracts are deployed in the tx.

Metric	0 deployed contracts
tx_size_in_bytes	19,179

Transaction processing duration by data writes.

Metric	0 new note hashes	1 new note hashes
tx_pxe_processing_time_ms	2,671 (-1%)	1,369

Metric	0 public data writes	1 public data writes
tx_sequencer_processing_time_ms	6.57 (+23%)	569 (-1%)