docs: benchmark results

Author: MarcosNicolau

aggregation_mode/benchmarks.md

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+# Aggregation Mode Benchmark Results
+
+## Machine Specifications
+
+-   **GPU**: NVIDIA RTX 3090 (24GB VRAM)
+-   **RAM**: 32GB
+-   **CPU**: AMD EPYC 7443 (24-Core)
+-   **Operating System**: Ubuntu
+
+## Benchmark Setup
+
+-   **Total Proofs**: 3968
+-   **Proofs per Chunk**: 128
+-   **Total Chunks**: 32
+
+---
+
+## RISC Zero (Risc0)
+
+-   **Start Time**: 14:28:36
+-   **Aggregation Start**: 14:33:32
+-   **End Time**: 16:46:28
+
+**Performance Summary:**
+
+-   **Verification Time (Start to Aggregation Start)**: **4 minutes 56 seconds**
+-   **Aggregation Time (Agg to End)**: **132.93 minutes**
+-   **Total Time (Start to End)**: **137.87 minutes**
+
+---
+
+## SP1
+
+-   **Start Time**: 21:52:55
+-   **Aggregation Start**: 22:26:40
+-   **End Time**: 23:24:42
+
+**Performance Summary:**
+
+-   **Verification Time (Start to Aggregation Start)**: **33 minutes 45 seconds**
+-   **Aggregation Time (Agg to End)**: **31 minutes 47 seconds**
+-   **Total Time (Start to End)**: **92 minutes**
+
+---
+
+## Comparison Summary
+
+|                   | Risc0        | SP1           |
+| ----------------- | ------------ | ------------- |
+| Verification Time | 4 min 56 sec | 33 min 45 sec |
+| Aggregation Time  | 132.93 min   | 31 min 47 sec |
+| Total Time        | 137.87 min   | 92 min        |
+
+> **Note**:  
+> SP1 longer verification time is due to the big overhead in setting up the prover client to verify the proof when it is fetched.