chore: add bench programs

[TomAFrench]

This PR adds in a number of new benchmark programs.

[AztecBot]

Benchmark results

Metrics with a significant change:

• protocol_circuit_witness_generation_time_in_ms (private-kernel-inner): 4,893 (+20%)
• protocol_circuit_witness_generation_time_in_ms (root-parity): 89.3 (+39%)

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	5,675	1,539	704	757	775
proof_construction_time_sha256_30_ms	11,405	3,058	1,375	1,416	1,456
proof_construction_time_sha256_100_ms	43,529	11,750	5,425	5,968	5,354
proof_construction_time_poseidon_hash_ms	235	79.0	58.0	90.0	149
proof_construction_time_poseidon_hash_30_ms	5,685	1,557	722	789	795
proof_construction_time_poseidon_hash_100_ms	11,236	3,043	1,361	1,398	1,445

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	1,412	1,412	1,412
l1_rollup_calldata_gas	9,464	9,476	9,476
l1_rollup_execution_gas	616,105	616,117	616,117
l2_block_processing_time_in_ms	1,304 (+1%)	4,787 (-1%)	9,507 (-1%)
l2_block_building_time_in_ms	46,660	185,100	368,784
l2_block_rollup_simulation_time_in_ms	46,483	184,478	367,465
l2_block_public_tx_process_time_in_ms	24,885	103,818	211,041 (-1%)

L2 chain processing

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

Metric	3 blocks	5 blocks
node_history_sync_time_in_ms	9,489 (+1%)	14,473 (+1%)
node_database_size_in_bytes	14,487,632	21,377,104
pxe_database_size_in_bytes	18,071	29,868

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	164	3,557	24,611 (-3%)	20,630	64,614	89,536	2,731	1,048,576
private-kernel-inner	620 (-1%)	⚠️ 4,893 (+20%)	49,704 (-5%)	92,318	64,614	89,536	2,731	2,097,152
private-kernel-tail	544 (-1%)	2,864 (+2%)	43,955 (+1%)	90,237	77,498	10,656	266	2,097,152
base-parity	6.43 (+1%)	1,164 (-4%)	2,847	128	64.0	2,208	2.00	131,072
root-parity	48.9	⚠️ 89.3 (+39%)	50,318 (-1%)	27,084	64.0	2,720	18.0	2,097,152
base-rollup	793	2,358 (-3%)	90,164 (+4%)	119,610	756	3,648	47.0	4,194,304
root-rollup	111 (-2%)	75.4 (-2%)	24,511 (+7%)	25,297	620	3,456	41.0	1,048,576
public-kernel-app-logic	520	2,806 (-2%)	51,212 (-2%)	104,941	86,302	114,784	3,520	2,097,152
public-kernel-tail	1,180 (-1%)	23,783 (-3%)	182,519 (+1%)	395,386	7,522	10,656	266	8,388,608
private-kernel-reset-small	590 (-1%)	2,067 (-1%)	50,008 (+1%)	120,733	64,614	89,536	2,731	2,097,152
merge-rollup	28.7	N/A	N/A	16,534	756	N/A	N/A	N/A
public-kernel-setup	630 (+1%)	N/A	N/A	104,941	86,302	N/A	N/A	N/A
public-kernel-teardown	531 (+1%)	N/A	N/A	104,941	86,302	N/A	N/A	N/A
private-kernel-tail-to-public	N/A	8,037 (-2%)	96,444 (+3%)	N/A	N/A	114,784	3,520	4,194,304

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	456 (-2%)	N/A	N/A	N/A	N/A
ContractInstanceDeployer:deploy	1,408	9,944	40.9 (-1%)	N/A	N/A	N/A	N/A
MultiCallEntrypoint:entrypoint	1,920	9,944	1,411 (-2%)	N/A	N/A	N/A	N/A
SchnorrAccount:constructor	1,312	9,944	994 (-1%)	N/A	N/A	N/A	N/A
SchnorrAccount:entrypoint	2,304	9,944	2,107 (-1%)	16,768	50,664 (+2%)	2,097,152	457
Token:privately_mint_private_note	1,280	9,944	1,094 (-3%)	N/A	N/A	N/A	N/A
Token:transfer	1,376	9,944	4,011 (-2%)	16,768	49,623 (-11%)	2,097,152	457
Benchmarking:create_note	1,312	9,944	980	N/A	N/A	N/A	N/A
FPC:fee_entrypoint_public	1,344	9,944	229 (-1%)	N/A	N/A	N/A	N/A
SchnorrAccount:spend_private_authwit	1,280	9,944	77.4 (-1%)	N/A	N/A	N/A	N/A
Token:unshield	1,376	9,944	3,251 (-3%)	N/A	N/A	N/A	N/A
FPC:fee_entrypoint_private	1,376	9,944	4,050 (-3%)	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	512 leaves	1024 leaves	2048 leaves	4096 leaves	32 leaves
batch_insert_into_append_only_tree_16_depth_ms	10.4	16.9	N/A	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	N/A
batch_insert_into_append_only_tree_16_depth_hash_ms	0.602	0.519	N/A	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	48.5	76.8	256 (+4%)	474	929	1,841	N/A
batch_insert_into_append_only_tree_32_depth_hash_count	N/A	N/A	95.9	159	543	1,055	2,079	4,127	N/A
batch_insert_into_append_only_tree_32_depth_hash_ms	N/A	N/A	0.495	0.473	0.464 (+4%)	0.443	0.440	0.439	N/A
batch_insert_into_indexed_tree_20_depth_ms	N/A	N/A	58.0	113 (+1%)	356	699	1,384	2,760	N/A
batch_insert_into_indexed_tree_20_depth_hash_count	N/A	N/A	106	208	692	1,363	2,707	5,395	N/A
batch_insert_into_indexed_tree_20_depth_hash_ms	N/A	N/A	0.502	0.504 (+1%)	0.482	0.480	0.478	0.479	N/A
batch_insert_into_indexed_tree_40_depth_ms	N/A	N/A	N/A	N/A	N/A	N/A	N/A	N/A	62.3
batch_insert_into_indexed_tree_40_depth_hash_count	N/A	N/A	N/A	N/A	N/A	N/A	N/A	N/A	107
batch_insert_into_indexed_tree_40_depth_hash_ms	N/A	N/A	N/A	N/A	N/A	N/A	N/A	N/A	0.551

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	83,794	665,117

Transaction size based on fee payment method

| Metric | |
| - | |

[guipublic]

May be we should remove the bench_.. tests from being run by run_acir_tests, since they are run by the benchmarks?