feat: Open transcript polys as univariates in ECCVM

[ledwards2225]

The ECCVM must prove univariate openings for the 5 transcript polynomials so that the evaluations can be checked by the translator. This will likely change somewhat once the ECCVM is updated to use Zeromorph.

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

No metrics with a significant change found.

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 23d1e2d3 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	222,972	868,100	3,448,040
l1_rollup_execution_gas	842,059	3,595,208	22,203,409
l2_block_processing_time_in_ms	2,059 (+5%)	7,765 (+3%)	29,998 (+1%)
note_successful_decrypting_time_in_ms	295 (+1%)	880 (+1%)	3,159
note_trial_decrypting_time_in_ms	99.5 (+3%)	88.1 (+9%)	131 (-17%)
l2_block_building_time_in_ms	20,686 (+1%)	81,874 (+1%)	325,407
l2_block_rollup_simulation_time_in_ms	12,038 (+1%)	47,553 (+1%)	187,675
l2_block_public_tx_process_time_in_ms	8,605	34,191	137,224

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	22,224 (+1%)	42,377
note_history_successful_decrypting_time_in_ms	2,072 (+3%)	3,978
note_history_trial_decrypting_time_in_ms	121	144
node_database_size_in_bytes	1,632,738	1,099,464
pxe_database_size_in_bytes	29,748	59,307

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	764	61,697	18,905
private-kernel-ordering	126 (+1%)	24,297	8,153
base-rollup	1,768	656,428	873
root-rollup	172 (+2%)	4,072	1,097
private-kernel-inner	789	81,568	18,905
public-kernel-private-input	568	41,519	18,905
public-kernel-non-first-iteration	406	41,561	18,905
merge-rollup	15.1	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	8,787	27,547

[codygunton]

This is essentially what I implemented by you replaced Shplonk with the simpler and more efficient by-hand batching ✅. I guess if we're using this in other places it would be better to codify in a function to reduce auditing / changes of errors. It's also in the merge prover right?

[codygunton]

If you just use these #'s it links to the wrong issue, assuming it's an issue in the monorepo. Will you put a full URL instead?