* 2 challenges, 28 routed wires
2 challenges gives certain checks approximately (field_bits - degree_bits) * 2 bits of security, so we maintain our target of 100 bits for circuits with 2^14 gates or fewer.
28 routed wires is the min for `InterpolationGate`. A lower number helps reduce proof sizes. We can go back to a high number if there's any strong reason to reduce our gate count (e.g. if we were trying to hit 2^12).
* Check FRI conjectured security
* Fix
* Refactor recursion tests
E.g. the main part of `test_recursive_recursive_verifier` is now
```rust
let (proof, vd, cd) = dummy_proof::<F, D>(&config, 8_000)?;
let (proof, vd, cd) = recursive_proof(proof, vd, cd, &config, &config, false)?;
let (proof, _vd, cd) = recursive_proof(proof, vd, cd, &config, &config, true)?;
```
Also adds a new `test_size_optimized_recursion` to see how small we can make the final proof in a recursion chain. The final proof is ~74kb (depending on compression luck) and takes ~20s to prove on my M1 (depending on PoW luck).
* Refactor serialization
* Don't log timestamps
* Automatically select FRI reduction arities
This way when a proof's degree changes, we won't need to manually update the `FriConfig`s of any recursive proofs on top of it.
For now I've added two methods of selecting arities. The first, `ConstantArityBits`, just applies a fixed reduciton arity until the degree has shrunk below a certain threshold. The second, `MinSize`, searches for the sequence of arities that minimizes proof size.
Note that this optimization is approximate -- e.g. it doesn't account for the effect of compression, and doesn't count some minor contributions to proof size, like the Merkle roots from the commit phase. It also assumes we're not using Merkle caps in serialized proofs, and that we're inferring one of the evaluations, even though we haven't made those changes yet.
I think we should generally use `ConstantArityBits` for proofs that we will recurse on, since using a single arity tends to be more recursion-friendly. We could use `MinSize` for generating final bridge proofs, since we won't do further recursion on top of those.
* Fix tests
* Feedback
* Split up `PartitionWitness` data
This addresses two minor inefficiencies:
- Some preprocessed forest data was being cloned during proving.
- Some of the `ForestNode` data (like node sizes) is only needed in preprocessing, not proving. It was taking up cache space during proving because it was interleaved with data that is used during proving (parents, values).
Now `Forest` contains the disjoint-set forest. `PartitionWitness` is now mainly a Vec of target values; it also holds a reference to the (preprocessed) representative map.
On my laptop, this speeds up witness generation ~12%, resulting in an overall ~0.5% speedup.
* Feedback
* No size data (#278)
* No size data
* feedback
* Derive challenges from other proof fields
* Delete failing test
Seems really hard to get the challenges right with the new model.
* Move PoW check
* Other feedback
