> For the complete documentation index, see [llms.txt](https://standard-crypto.gitbook.io/zkstats/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://standard-crypto.gitbook.io/zkstats/projects/risczero.md).

# RiscZero

### Overview

RiscZero is a [zkVM](https://dev.risczero.com/api/zkvm/) that can be used for a variety of different use cases, including fraud proof verification for optimistic rollups and coprocessors. RiscZero works by verifying the execution of Rust programs using STARKs that are converted to SNARKs and verified on Ethereum. The RiscZero Dune query can be found [here](https://dune.com/queries/4149868).

### Query Structure

The query filters traces sent to the RiscZeroVerifierRouter [contract](https://etherscan.io/address/0x8eab2d97dfce405a1692a21b3ff3a172d593d319) that invoke verify.

### Calculations

* The proof volume is the number of traces that invoke verify
* The cost is calculated using the following formula:&#x20;
  * $$\text{cost} = \sum\_{\text{traces}} \left( \text{gas\_used} \times \text{gas\_price} \times \text{eth\_price} \right)$$
  * Where:
    * $$\text{gas\_used}$$ is the amount of gas consumed by a trace in one of the verifiers
    * $$\text{gas\_price}$$ is the price of gas on the day of the transaction
    * $$\text{eth\_price}$$ is the average price of ETH in USD on the day of the transaction


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