feat: ECCVM changes for integration in Goblin

[codygunton]

As part of Goblin, the ECCVM needs to prove openings of five prover polynomials when regarded as univariates. We also need pass the BN254 commitments of the ecc operation queue's ultra ops vectors to the ECC Transcript. This PR does this plus some small cleanup, most notably removing the BN254 instantiation of the ECCVM.

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 4229173e 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	868,088	3,449,564
l1_rollup_execution_gas	842,059	3,595,196	22,204,933
l2_block_processing_time_in_ms	1,993 (-1%)	7,546 (-2%)	29,898
note_successful_decrypting_time_in_ms	293 (-1%)	870 (-2%)	3,146 (-2%)
note_trial_decrypting_time_in_ms	96.7 (-3%)	78.9 (-14%)	133
l2_block_building_time_in_ms	20,592	81,341 (-1%)	325,085 (-1%)
l2_block_rollup_simulation_time_in_ms	11,985	47,199 (-1%)	187,923 (-1%)
l2_block_public_tx_process_time_in_ms	8,567 (-1%)	34,012 (-1%)	136,667

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	22,041	42,590 (+1%)
note_history_successful_decrypting_time_in_ms	2,091 (+3%)	4,057 (+2%)
note_history_trial_decrypting_time_in_ms	122 (+2%)	145
node_database_size_in_bytes	1,629,952	1,099,052
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	760	61,697	18,905
private-kernel-ordering	125	24,297	8,153
base-rollup	1,767	656,428	873
root-rollup	172 (+2%)	4,072	1,097
private-kernel-inner	786	81,568	18,905
public-kernel-private-input	566	41,519	18,905
public-kernel-non-first-iteration	404	41,561	18,905
merge-rollup	15.2	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]

Handed off to @ledwards2225, became #3330 and #3331