docs(benchmark): add baby bear poseidon2 benchmark results

benchmark/poseidon2/README.md

@@ -59,3 +59,93 @@ bazel run -c opt --//:has_openmp --//:has_rtti --//:has_matplotlib //benchmark/p
 | avg | 9.5e-06 | **7.6e-06** | 1.06e-05 | -->
 
 ![image](/benchmark/poseidon2/poseidon2_benchmark_bn254_mac_m3.png)
+
+## Baby Bear
+
+Note: Plonky3 and Horizen compute values with a different internal matrix, requiring them to be compared with Tachyon separately.
+
+### Plonky3
+
+```shell
+bazel run -c opt --//:has_openmp --//:has_rtti --//:has_matplotlib //benchmark/poseidon2:poseidon2_benchmark -- -p baby_bear --vendor plonky3 --check_results
+```
+
+### Horizen
+
+```shell
+bazel run -c opt --//:has_openmp --//:has_rtti --//:has_matplotlib //benchmark/poseidon2:poseidon2_benchmark -- -p baby_bear --vendor horizen --check_results
+```
+
+### On Intel i9-13900K - Plonky3
+
+| Trial Number | Tachyon | Plonky3 |
+| :----------- | --------- | ------------ |
+| 0 | 0.000112 | **6.6e-05** |
+| 1 | 0.000111 | **6.5e-05** |
+| 2 | 0.000111 | **6.6e-05** |
+| 3 | 0.000111 | **6.6e-05** |
+| 4 | 0.00011 | **6.6e-05** |
+| 5 | 0.000116 | **6.6e-05** |
+| 6 | 0.00011 | **6.5e-05** |
+| 7 | 0.000109 | **6.6e-05** |
+| 8 | 0.00011 | **6.6e-05** |
+| 9 | 0.000109 | **6.5e-05** |
+| avg | 0.0001109 | **6.57e-05** |
+
+![image](/benchmark/poseidon2/poseidon2_benchmark_baby_bear_plonky3_ubuntu_i9.png)
+
+### On Intel i9-13900K - Horizen
+
+| Trial Number | Tachyon | Horizen |
+| :----------- | ------------- | --------- |
+| 0 | **0.000127** | 0.000381 |
+| 1 | **0.000126** | 0.00036 |
+| 2 | **0.000125** | 0.00037 |
+| 3 | **0.000125** | 0.000356 |
+| 4 | **0.000125** | 0.000354 |
+| 5 | **0.000125** | 0.000354 |
+| 6 | **0.000125** | 0.000354 |
+| 7 | **0.000125** | 0.00036 |
+| 8 | **0.000125** | 0.000359 |
+| 9 | **0.000125** | 0.000353 |
+| avg | **0.0001253** | 0.0003601 |
+
+![image](/benchmark/poseidon2/poseidon2_benchmark_baby_bear_horizen_ubuntu_i9.png)
+
+#### On Mac M3 Pro - Plonky3
+
+<!-- TO UPDATE -->
+<!-- | Repetition | Tachyon | Plonky3 |
+| :--------- | --------- | ------------- |
+| 0 | 0.000147 | **0.000137** |
+| 1 | 0.00019 | **0.000136** |
+| 2 | 0.000199 | **0.000137** |
+| 3 | 0.000197 | **0.000137** |
+| 4 | 0.000199 | **0.00014** |
+| 5 | 0.000198 | **0.000136** |
+| 6 | 0.000198 | **0.000137** |
+| 7 | 0.000199 | **0.000137** |
+| 8 | 0.000208 | **0.000137** |
+| 9 | 0.00021 | **0.000137** |
+| avg | 0.0001945 | **0.0001371** | -->
+
+![image](/benchmark/poseidon2/poseidon2_benchmark_baby_bear_plonky3_mac_m2.png)
+
+#### On Mac M3 Pro - Horizen
+
+<!-- TO UPDATE -->
+<!-- | Repetition | Tachyon | Horizen |
+| :--------- | ------------ | ------------ |
+| 0 | **0.000166** | 0.000193 |
+| 1 | **0.000164** | 0.000172 |
+| 2 | **0.000164** | 0.000174 |
+| 3 | **0.000165** | 0.000173 |
+| 4 | 0.000218 | **0.000173** |
+| 5 | 0.000177 | **0.000174** |
+| 6 | 0.000181 | **0.000173** |
+| 7 | **0.000166** | 0.000184 |
+| 8 | **0.000169** | 0.000174 |
+| 9 | **0.00016** | 0.0002 |
+| avg | **0.000173** | 0.000179 | -->
+
+![image](/benchmark/poseidon2/poseidon2_benchmark_baby_bear_horizen_mac_m2.png)