In data-intensive applications of Web3, the verifiability of off-chain computation has become the key to technological breakthroughs, while traditional gas limits struggle to support complex demands. The Lagrange Coprocessor has quietly launched, igniting a revolution of verifiable computation with its intelligent engine, bringing unprecedented scalability to developers. It examines how it shapes the future of the digital economy through technology and applications.

The engine of the Lagrange Coprocessor began with its ZK Coprocessor 1.0 in August 2025, and the optimization in July 2025 reduced off-chain computation latency to 150 milliseconds, covering 10 chains including ZKsync and Optimism. The 'Compute Rise' program in June 2025 attracted 200,000 developers, processing a total of 80 million off-chain tasks. On-chain data in August 2025 showed a total value locked (TVL) close to $620 million, with transaction volume reaching 550 million. In July 2025, a partnership with Polygon launched AI-driven off-chain proofs, with monthly transaction volume exceeding $32 million. The system upgrade in June 2025 supported real-time computation for 70 new applications, with API call volume reaching 120 million. The intelligence of the engine lies in its technological innovation, with ZK Coprocessor 1.0 in August 2025 supporting parallel computation, and the optimization in July 2025 improving processing efficiency by 25%.

The 'Coprocessor Hack' event in June 2025 allocated $450,000 in rewards to 130 developers, covering off-chain application development. On-chain analysis in August 2025 showed gas costs reduced by 30%, with a transaction success rate of 98%. However, the stability of the engine faces challenges. The testnet in July 2025 showed that 6% of computations failed due to data synchronization issues.

In the future, if the Lagrange Coprocessor optimizes synchronization mechanisms and enhances developer support, its engine may drive more intelligent applications. This engine has ignited the wisdom of computation for Web3. Every operation is a tribute to the potential of blockchain, and we look forward to a more brilliant future.