chore(readme): Describe steps to benchmark locally and add benchmarks

[Savio-Sou]

Summary

Documenting #6566.

Supplements steps to run Barretenberg proving time benchmarks for Noir benchmarking programs.

[AztecBot]

Benchmark results

Metrics with a significant change:

• protocol_circuit_witness_generation_time_in_ms (private-kernel-inner): 1,120 (+17%)
• protocol_circuit_witness_generation_time_in_ms (private-kernel-tail): 2,155 (+18%)

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.

Proof generation

Each column represents the number of threads used in proof generation.

Metric	1 threads	4 threads	16 threads	32 threads	64 threads
proof_construction_time_sha256_ms	5,728	1,548	698	764 (+2%)	774 (+1%)
proof_construction_time_sha256_30_ms	11,456 (-1%)	3,046 (-1%)	1,375	1,420	1,449
proof_construction_time_sha256_100_ms	43,783	11,787	5,435	5,410	5,370
proof_construction_time_poseidon_hash_ms	78.0	34.0	34.0	57.0 (-2%)	88.0 (+1%)
proof_construction_time_poseidon_hash_30_ms	1,520	420	201	237 (+5%)	279 (+4%)
proof_construction_time_poseidon_hash_100_ms	5,745	1,575	728 (+1%)	787 (+2%)	796

L2 block published to L1

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

Metric	4 txs	8 txs	16 txs
l1_rollup_calldata_size_in_bytes	1,412	1,412	1,412
l1_rollup_calldata_gas	9,476	9,458	9,452
l1_rollup_execution_gas	610,297	610,279	610,273
l2_block_processing_time_in_ms	698	1,289 (-3%)	2,469
l2_block_building_time_in_ms	22,271	45,425 (-3%)	87,217
l2_block_rollup_simulation_time_in_ms	22,166	45,079 (-3%)	86,827
l2_block_public_tx_process_time_in_ms	19,012	41,700 (-3%)	83,537

L2 chain processing

Each column represents the number of blocks on the L2 chain where each block has 8 txs.

Metric	3 blocks	5 blocks
node_history_sync_time_in_ms	5,932 (-4%)	8,491 (-3%)
node_database_size_in_bytes	9,470,032	12,730,448
pxe_database_size_in_bytes	9,242	15,127

Circuits stats

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

Circuit	simulation_time_in_ms	witness_generation_time_in_ms	proving_time_in_ms	input_size_in_bytes	output_size_in_bytes	proof_size_in_bytes	num_public_inputs	size_in_gates
private-kernel-init	134 (-1%)	567 (+10%)	13,602 (-2%)	20,634	64,614	89,536	2,731	524,288
private-kernel-inner	389 (-2%)	⚠️ 1,120 (+17%)	52,236 (+3%)	92,326	64,614	89,536	2,731	2,097,152
private-kernel-tail	367 (-2%)	⚠️ 2,155 (+18%)	47,102 (+2%)	96,545	68,261	11,648	297	2,097,152
base-parity	6.48 (-3%)	1,672 (-4%)	2,640	128	64.0	2,208	2.00	131,072
root-parity	49.4 (-9%)	62.0 (+3%)	40,103 (-3%)	27,100	64.0	2,720	18.0	2,097,152
base-rollup	6,465 (-1%)	2,475 (+2%)	84,993 (-2%)	119,738	756	3,648	47.0	4,194,304
root-rollup	113 (+3%)	77.9 (+1%)	24,534 (+3%)	25,309	620	3,456	41.0	1,048,576
public-kernel-app-logic	563 (-2%)	3,496	45,496 (+4%)	108,073	86,550	116,768	3,582	2,097,152
public-kernel-tail	1,132 (-2%)	23,052 (-7%)	186,929 (-2%)	403,238	7,646	11,648	297	8,388,608
private-kernel-reset-small	586 (-2%)	2,096 (+7%)	47,503 (-2%)	120,737	64,614	89,536	2,731	2,097,152
public-kernel-setup	666 (-5%)	2,717	44,058 (-2%)	108,073	86,550	116,768	3,582	2,097,152
public-kernel-teardown	575 (-5%)	3,514 (-2%)	44,611 (-3%)	108,073	86,550	116,768	3,582	2,097,152
merge-rollup	28.7 (-2%)	N/A	N/A	16,542	756	N/A	N/A	N/A
private-kernel-tail-to-public	N/A	6,956 (-10%)	54,239 (-2%)	N/A	N/A	116,768	3,582	2,097,152

Stats on running time collected for app circuits

Function	input_size_in_bytes	output_size_in_bytes	witness_generation_time_in_ms	proof_size_in_bytes	proving_time_in_ms	size_in_gates	num_public_inputs
ContractClassRegisterer:register	1,344	9,944	465 (-1%)	N/A	N/A	N/A	N/A
ContractInstanceDeployer:deploy	1,408	9,944	40.5	N/A	N/A	N/A	N/A
MultiCallEntrypoint:entrypoint	1,920	9,944	1,791 (+1%)	N/A	N/A	N/A	N/A
SchnorrAccount:constructor	1,312	9,944	1,495 (+4%)	N/A	N/A	N/A	N/A
SchnorrAccount:entrypoint	2,304	9,944	2,884 (+1%)	16,768	57,000 (+3%)	2,097,152	457
Token:privately_mint_private_note	1,280	9,944	1,569 (-1%)	N/A	N/A	N/A	N/A
FPC:fee_entrypoint_public	1,344	9,944	1,042 (-1%)	16,768	10,972	524,288	457
Token:transfer	1,376	9,944	5,310 (-1%)	16,768	54,664 (+2%)	2,097,152	457
Benchmarking:create_note	1,344	9,944	1,480 (+4%)	N/A	N/A	N/A	N/A
SchnorrAccount:spend_private_authwit	1,280	9,944	76.4	N/A	N/A	N/A	N/A
Token:unshield	1,376	9,944	3,910 (-1%)	N/A	N/A	N/A	N/A
FPC:fee_entrypoint_private	1,376	9,944	4,801 (-1%)	N/A	N/A	N/A	N/A

Tree insertion stats

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

Metric	1 leaves	16 leaves	64 leaves	128 leaves	256 leaves	512 leaves	1024 leaves	32 leaves
batch_insert_into_append_only_tree_16_depth_ms	10.4 (-1%)	17.0 (-1%)	N/A	N/A	N/A	N/A	N/A	N/A
batch_insert_into_append_only_tree_16_depth_hash_count	16.7	31.8	N/A	N/A	N/A	N/A	N/A	N/A
batch_insert_into_append_only_tree_16_depth_hash_ms	0.603 (-1%)	0.521 (-1%)	N/A	N/A	N/A	N/A	N/A	N/A
batch_insert_into_append_only_tree_32_depth_ms	N/A	N/A	48.6 (-1%)	76.3 (-2%)	133	247 (-3%)	476	N/A
batch_insert_into_append_only_tree_32_depth_hash_count	N/A	N/A	95.9	159	288	543	1,055	N/A
batch_insert_into_append_only_tree_32_depth_hash_ms	N/A	N/A	0.496 (-1%)	0.469 (-2%)	0.456	0.448 (-3%)	0.444	N/A
batch_insert_into_indexed_tree_20_depth_ms	N/A	N/A	59.4 (-1%)	113 (-1%)	184	356 (-3%)	701	N/A
batch_insert_into_indexed_tree_20_depth_hash_count	N/A	N/A	108	208	355	691	1,363	N/A
batch_insert_into_indexed_tree_20_depth_hash_ms	N/A	N/A	0.505 (-1%)	0.505 (-1%)	0.488 (+1%)	0.482 (-3%)	0.482	N/A
batch_insert_into_indexed_tree_40_depth_ms	N/A	N/A	N/A	N/A	N/A	N/A	N/A	60.0 (-2%)
batch_insert_into_indexed_tree_40_depth_hash_count	N/A	N/A	N/A	N/A	N/A	N/A	N/A	103
batch_insert_into_indexed_tree_40_depth_hash_ms	N/A	N/A	N/A	N/A	N/A	N/A	N/A	0.551 (-2%)

Miscellaneous

Transaction sizes based on how many contract classes are registered in the tx.

Metric	0 registered classes	1 registered classes
tx_size_in_bytes	79,470	665,267

Transaction size based on fee payment method

| Metric | |
| - | |

[TomAFrench]

Can you make the link to the benchmarks directory point to master rather than an old commit? Otherwise looks fine.