feat: Prepare protocol circuits for batch rollup

[MirandaWood]

First run at creating new rollup circuits for batch block proving (see this PR for details).

~Please note the e2e tests will fail miserably as the circuits are not yet linked up to the sequencer/prover/L1! Pushing for visibility.~

EDIT: Added support for verifying block-root proofs on L1. Though we don't currently have an L1 verifier (so tests would pass whatever public inputs we had), the method now accepts the new inputs until we have batch rollups integrated.

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Changes complete:

• Rename root to block_root and change outputs
• Add block_merge circuit and associated types/structs
• Add new root circuit and associated types/structs (NB Github doesn't realise that old root -> block_root because of this new circuit, so the comparison is hard to read!)
• Added new tyes ^ to circuits.js and useful methods to bb-prover, circuit-types, and noir-protocol-circuits-types
• Made minor changes to prover-client (orchestrator.ts and block-building-helpers.ts) to use the new block_root public outputs
• Rollup.sol now verifies a block_root proof and stores blockHash

-- TODOs:

• When adding fees in a block_merge or root, merge fees with the same recipient - Miranda
• ~Edit publisher and L1 to accept a block_root proof with new public inputs (for testing, so e2es will pass)~ Complete!
• Teach the prover/sequencer to prove many blocks and submit a root proof - Miranda + Phil's team?
• ~Make final L1 changes to verify batch proofs~ - Complete! Currently not tested with real solidity verifier, but bb verifier passes

[github-actions[bot]]

Changes to circuit sizes

Generated at commit: 26561e686ce4430fc0b8ed9ef40e18435aaf4595, compared to commit: dcfd12019fbe8e443c5d162876c960a7062164af

🧾 Summary (100% most significant diffs)

Program	ACIR opcodes (+/-)	%	Circuit size (+/-)	%
rollup_root	+17,444 ❌	+2344.62%	-1,309,633 ✅	-32.33%

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Full diff report 👇

Program	ACIR opcodes (+/-)	%	Circuit size (+/-)	%
rollup_root	18,188 (+17,444)	+2344.62%	2,741,553 (-1,309,633)	-32.33%

[AztecBot]

Benchmark results

Metrics with a significant change:

• avm_simulation_time_ms (Token:transfer_public): 20.4 (-37%)

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	5,771	1,565	717 (+1%)	777 (+2%)	779 (+1%)
proof_construction_time_sha256_30_ms	11,534	3,090	1,370 (-1%)	1,439	1,460 (-1%)
proof_construction_time_sha256_100_ms	44,158	11,834	5,415	5,489 (+2%)	5,646 (-1%)
proof_construction_time_poseidon_hash_ms	79.0	34.0	34.0	56.0 (-5%)	87.0 (-1%)
proof_construction_time_poseidon_hash_30_ms	1,534	424	202 (-1%)	233 (+1%)	267
proof_construction_time_poseidon_hash_100_ms	5,662	1,518	672 (-1%)	717 (-1%)	751

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	4,356 (+1%)	7,876	14,884
l1_rollup_calldata_gas	50,196 (+1%)	92,902 (+1%)	178,120
l1_rollup_execution_gas	1,396,447 (+2%)	2,130,049 (+1%)	3,915,323 (+1%)
l2_block_processing_time_in_ms	241 (-2%)	441 (+2%)	799 (-2%)
l2_block_building_time_in_ms	8,929 (-2%)	17,434	34,821 (-1%)
l2_block_rollup_simulation_time_in_ms	8,928 (-2%)	17,434	34,821 (-1%)
l2_block_public_tx_process_time_in_ms	7,531 (-2%)	15,927	33,281 (-1%)

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	2,973 (+2%)	3,825 (+3%)
node_database_size_in_bytes	12,669,008	16,691,280
pxe_database_size_in_bytes	16,254	26,813

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	input_size_in_bytes	output_size_in_bytes	proving_time_in_ms
private-kernel-init	90.3 (+2%)	379 (-8%)	21,755	44,860	N/A
private-kernel-inner	167 (+1%)	687 (-2%)	72,566	45,007	N/A
private-kernel-reset-tiny	458 (-1%)	839 (-3%)	65,675	44,846	N/A
private-kernel-tail	195 (-1%)	156 (-1%)	50,686	52,257	N/A
base-parity	5.53 (-1%)	N/A	160	96.0	N/A
root-parity	35.0 (-1%)	N/A	73,948	96.0	N/A
base-rollup	2,739 (-1%)	N/A	189,136	664	N/A
block-root-rollup	40.9	N/A	58,205	2,448	N/A
public-kernel-setup	81.9 (-4%)	N/A	105,085	71,222	N/A
public-kernel-app-logic	95.0	N/A	104,911	71,222	N/A
public-kernel-tail	550 (-1%)	N/A	410,534	16,414	N/A
private-kernel-reset-small	455 (-1%)	N/A	66,341	45,629	N/A
private-kernel-tail-to-public	1,480 (+6%)	621 (-4%)	460,796	1,825	N/A
public-kernel-teardown	81.3 (-2%)	N/A	105,349	71,222	N/A
merge-rollup	20.0	N/A	38,174	664	N/A
undefined	N/A	N/A	N/A	N/A	80,947 (+2%)

Stats on running time collected for app circuits

Function	input_size_in_bytes	output_size_in_bytes	witness_generation_time_in_ms
ContractClassRegisterer:register	1,344	11,731	346 (+1%)
ContractInstanceDeployer:deploy	1,408	11,731	18.0 (-2%)
MultiCallEntrypoint:entrypoint	1,920	11,731	405
FeeJuice:deploy	1,376	11,731	396 (+2%)
SchnorrAccount:constructor	1,312	11,731	73.6 (-3%)
SchnorrAccount:entrypoint	2,304	11,731	414
Token:privately_mint_private_note	1,280	11,731	100 (-6%)
FPC:fee_entrypoint_public	1,344	11,731	27.6 (-6%)
Token:transfer	1,312	11,731	231 (-1%)
Benchmarking:create_note	1,344	11,731	89.0
SchnorrAccount:verify_private_authwit	1,280	11,731	27.3
Token:unshield	1,376	11,731	520
FPC:fee_entrypoint_private	1,376	11,731	705 (+2%)

AVM Simulation

Time to simulate various public functions in the AVM.

Function	time_ms	bytecode_size_in_bytes
FeeJuice:_increase_public_balance	56.7 (+1%)	7,739
FeeJuice:set_portal	9.79 (+1%)	2,354
Token:constructor	80.3 (+3%)	26,051
FPC:constructor	53.2 (-1%)	18,001
FeeJuice:mint_public	41.6 (+6%)	5,877
Token:mint_public	45.0 (-1%)	10,917
Token:assert_minter_and_mint	65.5 (-1%)	7,512
AuthRegistry:set_authorized	37.6 (-20%)	4,391
FPC:prepare_fee	221 (-4%)	7,043
Token:transfer_public	:warning: 20.4 (-37%)	39,426
FPC:pay_refund	50.6 (-13%)	10,234
Benchmarking:increment_balance	930 (-1%)	6,563
Token:_increase_public_balance	40.4	8,433
FPC:pay_refund_with_shielded_rebate	65.1 (+2%)	10,783

Public DB Access

Time to access various public DBs.

Function	time_ms
get-nullifier-index	0.162 (+3%)

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
batch_insert_into_append_only_tree_16_depth_ms	2.17 (-1%)	3.87	N/A	N/A	N/A	N/A	N/A
batch_insert_into_append_only_tree_16_depth_hash_count	16.8	31.7	N/A	N/A	N/A	N/A	N/A
batch_insert_into_append_only_tree_16_depth_hash_ms	0.112 (-1%)	0.109	N/A	N/A	N/A	N/A	N/A
batch_insert_into_append_only_tree_32_depth_ms	N/A	N/A	11.4 (-1%)	17.8 (-1%)	30.4 (-1%)	58.8	112 (-2%)
batch_insert_into_append_only_tree_32_depth_hash_count	N/A	N/A	95.9	159	287	543	1,055
batch_insert_into_append_only_tree_32_depth_hash_ms	N/A	N/A	0.110 (-1%)	0.103	0.0987 (-1%)	0.101	0.100 (-1%)
batch_insert_into_indexed_tree_20_depth_ms	N/A	N/A	14.4	25.2 (-3%)	43.5	82.7	160
batch_insert_into_indexed_tree_20_depth_hash_count	N/A	N/A	109	207	355	691	1,363
batch_insert_into_indexed_tree_20_depth_hash_ms	N/A	N/A	0.109	0.102 (-3%)	0.105	0.102	0.100
batch_insert_into_indexed_tree_40_depth_ms	N/A	N/A	16.3 (-1%)	N/A	N/A	N/A	N/A
batch_insert_into_indexed_tree_40_depth_hash_count	N/A	N/A	132	N/A	N/A	N/A	N/A
batch_insert_into_indexed_tree_40_depth_hash_ms	N/A	N/A	0.104 (-1%)	N/A	N/A	N/A	N/A

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	64,779	668,997

Transaction size based on fee payment method

| Metric | | | - | |