fix(docs): doc explaining noir debug_log

[spypsy]

Fixes #3179

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).

[Maddiaa0]

Should we assume the user has the docker compose file installed, when most will just be running the getting started script?

Maybe we should also include an example for the npm sandbox flow

[Maddiaa0]

We should include documentation on the various debug types, more often than not people want to just log a field element. This is not possible with the single debug log without using the templating syntax

[AztecBot]

Benchmark results

Metrics with a significant change:

• circuit_simulation_time_in_ms (public-kernel-private-input): 40.9 (-93%)
• circuit_simulation_time_in_ms (public-kernel-non-first-iteration): 25.7 (-94%)
• l2_block_building_time_in_ms (8): 13,390 (-35%)
• l2_block_building_time_in_ms (32): 52,631 (-36%)
• l2_block_building_time_in_ms (128): 209,774 (-36%)
• l2_block_public_tx_process_time_in_ms (8): 1,314 (-85%)
• l2_block_public_tx_process_time_in_ms (32): 5,155 (-85%)
• l2_block_public_tx_process_time_in_ms (128): 20,551 (-85%)
• note_trial_decrypting_time_in_ms (8): 96.8 (+1579%)

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 2001d474 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	223,008	867,776	3,449,624
l1_rollup_execution_gas	842,095	3,594,884	22,204,993
l2_block_processing_time_in_ms	2,023	7,575 (-2%)	29,852 (-1%)
note_successful_decrypting_time_in_ms	294 (-2%)	865 (-2%)	3,181 (-1%)
note_trial_decrypting_time_in_ms	⚠️ 96.8 (+1579%)	74.7 (-19%)	133 (-5%)
l2_block_building_time_in_ms	⚠️ 13,390 (-35%)	⚠️ 52,631 (-36%)	⚠️ 209,774 (-36%)
l2_block_rollup_simulation_time_in_ms	12,031 (+1%)	47,341	188,739
l2_block_public_tx_process_time_in_ms	⚠️ 1,314 (-85%)	⚠️ 5,155 (-85%)	⚠️ 20,551 (-85%)

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	21,754 (-1%)	42,182 (-1%)
note_history_successful_decrypting_time_in_ms	2,013 (-2%)	3,927 (-2%)
note_history_trial_decrypting_time_in_ms	139 (+10%)	145 (-6%)
node_database_size_in_bytes	1,631,953	1,098,500
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	762 (-1%)	61,697	18,905
private-kernel-ordering	125 (-2%)	24,297	8,153
base-rollup	1,764 (+1%)	656,311	814 (-7%)
root-rollup	171 (+2%)	4,072	1,097
private-kernel-inner	785 (-1%)	81,568	18,905
public-kernel-private-input	⚠️ 40.9 (-93%)	41,519	18,841
public-kernel-non-first-iteration	⚠️ 25.7 (-94%)	41,497	18,841
merge-rollup	15.1 (-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