## Line Chart: Average Memory Usage (%) Across Stages of zk Generation ### Overview The chart illustrates the average memory usage (in percentage) across six stages of zero-knowledge (zk) generation. The x-axis represents the stages, while the y-axis shows memory usage from 30.2% to 31.4%. A single red line labeled "memory(%)" tracks the trend. ### Components/Axes - **X-Axis (Stages of zk Generation)**: - `compile` - `phase_two_initiation` - `power_of_tau` - `solidity_verifier` - `verify_proof` - `z_key` - **Y-Axis (Average Memory Usage %)**: - Scale: 30.2% to 31.4% (increments of 0.1%). - **Legend**: - Located in the top-right corner. - Red line corresponds to "memory(%)". ### Detailed Analysis 1. **Compile**: - Memory usage starts at **~30.1%**, the lowest point on the chart. 2. **Phase_two_initiation**: - Sharp increase to **~31.4%**, the highest peak. 3. **Power_of_tau**: - Slight drop to **~31.3%**. 4. **Solidity_verifier**: - Further decline to **~30.9%**. 5. **Verify_proof**: - Stabilizes at **~30.9%**. 6. **Z_key**: - Final peak at **~31.1%**. ### Key Observations - **Highest Memory Usage**: Occurs at `phase_two_initiation` (~31.4%) and `z_key` (~31.1%). - **Lowest Memory Usage**: At `compile` (~30.1%). - **Trend**: Initial spike at `phase_two_initiation`, followed by fluctuations, with a final rise at `z_key`. ### Interpretation The chart suggests that memory usage is heavily concentrated in the `phase_two_initiation` and `z_key` stages, likely due to computationally intensive operations such as cryptographic proofs or key generation. The `compile` stage uses minimal memory, indicating it involves lighter tasks. The fluctuations between stages highlight varying resource demands, with `solidity_verifier` and `verify_proof` showing relatively stable usage. The final peak at `z_key` underscores its critical role in the zk generation process, possibly involving complex cryptographic computations.