feat: Correctness tests for decomposition and non-native field relations (Goblin Translator Part 9)

[Rumata888]

Adds correctness tests for Goblin Translator NonNativeRelation and DecompositionRelation

Checklist:

Remove the checklist to signal you've completed it. Enable auto-merge if the PR is ready to merge.

• If the pull request requires a cryptography review (e.g. cryptographic algorithm implementations) I have added the 'crypto' tag.
• I have reviewed my diff in github, line by line and removed unexpected formatting changes, testing logs, or commented-out code.
• Every change is related to the PR description.
• I have linked this pull request to relevant issues (if any exist).

[AztecBot]

Benchmark results

Metrics with a significant change:

• node_history_sync_time_in_ms (5): 28,897 (+17%)
• node_history_sync_time_in_ms (10): 56,154 (+16%)
• note_history_successful_decrypting_time_in_ms (5): 2,438 (+30%)
• note_history_successful_decrypting_time_in_ms (10): 4,631 (+26%)
• note_trial_decrypting_time_in_ms (32): 117 (+225%)

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 03ebb8e1 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	128 txs
l1_rollup_calldata_size_in_bytes	45,444	179,588	716,132
l1_rollup_calldata_gas	223,008	868,160	3,449,552
l1_rollup_execution_gas	842,095	3,595,268	22,204,921
l2_block_processing_time_in_ms	2,299 (+1%)	8,727 (-1%)	34,401
note_successful_decrypting_time_in_ms	276 (-3%)	796 (-2%)	2,911 (-3%)
note_trial_decrypting_time_in_ms	78.0 (-11%)	⚠️ 117 (+225%)	137
l2_block_building_time_in_ms	14,491 (-1%)	57,523 (-1%)	230,662
l2_block_rollup_simulation_time_in_ms	13,189 (-1%)	52,353 (-1%)	209,846
l2_block_public_tx_process_time_in_ms	1,264 (-1%)	5,041 (-1%)	20,367 (-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	⚠️ 28,897 (+17%)	⚠️ 56,154 (+16%)
note_history_successful_decrypting_time_in_ms	⚠️ 2,438 (+30%)	⚠️ 4,631 (+26%)
note_history_trial_decrypting_time_in_ms	127 (+4%)	155 (+6%)
node_database_size_in_bytes	1,627,332	1,095,867 (-1%)
pxe_database_size_in_bytes	27,188	54,187

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	88.9 (+8%)	61,697	18,841
private-kernel-ordering	54.7 (+8%)	24,233	8,089
base-rollup	2,245 (+8%)	656,309	811
root-rollup	97.0 (+8%)	4,072	1,097
private-kernel-inner	64.1 (+9%)	81,504	18,841
public-kernel-private-input	50.4 (+8%)	41,455	18,841
public-kernel-non-first-iteration	31.3 (+9%)	41,497	18,841
merge-rollup	0.920 (+15%)	2,592	873

Miscellaneous

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

Metric	0 deployed contracts	1 deployed contracts
tx_size_in_bytes	8,723	27,240