diff --git a/.github/workflows/scripts/models/cpp_graph_inference.sh b/.github/workflows/scripts/models/cpp_graph_inference.sh
index 8fc086c0c..6f159cdca 100644
--- a/.github/workflows/scripts/models/cpp_graph_inference.sh
+++ b/.github/workflows/scripts/models/cpp_graph_inference.sh
@@ -26,7 +26,7 @@ function main() {
         quant_script="./build/bin/quant_llama"
         infer_cmd="./build/bin/run_llama"
         input_model="/tf_dataset2/models/pytorch/Meta-Llama-3-8B"
-        precision_list=("q4_j_b128" "q4_j_b32" "q4_0")
+        precision_list=("q4_j_b128" "q4_j_b32" "q4_0" "q5_j_i8_pc_asym" "q3_j_i8_b128_asym")
     elif [[ "${model}" == "gpt-neox-20b" ]]; then
         convert_script="${scripts_dir}/convert_gptneox.py"
         quant_script="./build/bin/quant_gptneox"
@@ -129,6 +129,10 @@ function main() {
                             ${quant_script} --model_file ${working_dir}/${model}-fp32.bin --out_file ${working_dir}/${model}-${precision}.bin --nthread $cores_per_instance --weight_dtype int4 --group_size 32 --scale_dtype fp32 --compute_dtype fp32 --alg sym
                         elif [[ ${precision} == "q4_j_b128" ]]; then
                             ${quant_script} --model_file ${working_dir}/${model}-fp32.bin --out_file ${working_dir}/${model}-${precision}.bin --nthread $cores_per_instance --weight_dtype int4 --group_size 128 --scale_dtype fp32 --compute_dtype fp32 --alg sym
+                        elif [[ ${precision} == "q3_j_i8_b128_asym" ]]; then
+                            ${quant_script} --model_file ${working_dir}/${model}-fp32.bin --out_file ${working_dir}/${model}-${precision}.bin --nthread $cores_per_instance --weight_dtype int3 --group_size 128 --scale_dtype fp32 --compute_dtype int8 --alg asym
+                        elif [[ ${precision} == "q5_j_i8_pc_asym" ]]; then
+                            ${quant_script} --model_file ${working_dir}/${model}-fp32.bin --out_file ${working_dir}/${model}-${precision}.bin --nthread $cores_per_instance --weight_dtype int5 --group_size -1 --scale_dtype fp32 --compute_dtype int8 --alg asym
                         elif [[ ${precision} == "q4_j_b128_asym" ]]; then
                             ${quant_script} --model_file ${working_dir}/${model}-fp32.bin --out_file ${working_dir}/${model}-${precision}.bin --nthread $cores_per_instance --weight_dtype int4 --group_size 128 --scale_dtype fp32 --compute_dtype fp32 --alg asym
                         elif [[ ${precision} == "q4_0" ]]; then
diff --git a/tests/model-test/cpp_graph_inference.sh b/tests/model-test/cpp_graph_inference.sh
index b8886fa39..f79e0a4f3 100644
--- a/tests/model-test/cpp_graph_inference.sh
+++ b/tests/model-test/cpp_graph_inference.sh
@@ -206,11 +206,16 @@ function main() {
         quant_script="./build/bin/quant_llama"
         convert_script="${convert_script}/convert_llama.py"
         infer_cmd="./build/bin/run_llama"
+        precision_list+=("q5_j_i8_g128" "q3_j_i8_g128" "q5_j_i8_g128_asym" "q3_j_i8_g128_asym"
+            "q3_j_i8_pc_asym" "q5_j_i8_pc_asym"
+        )
     elif [[ "${model}" == "gptj-6b" ]]; then
         quant_script="./build/bin/quant_gptj"
         convert_script="${convert_script}/convert_gptj.py"
         infer_cmd="./build/bin/run_gptj"
-        precision_list+=("q4_j1_i8_g128" "q4_j1_bf16_pc")
+        precision_list+=("q4_j1_i8_g128" "q4_j1_bf16_pc" "q5_j_i8_g128" "q3_j_i8_g128" "q5_j_i8_g128_asym" "q3_j_i8_g128_asym"
+            "q3_j_i8_pc_asym" "q5_j_i8_pc_asym"
+            )
     elif [[ "${model}" == "gpt-neox-20b" ]]; then
         quant_script="./build/bin/quant_gptneox"
         convert_script="${convert_script}/convert_gptneox.py"
@@ -421,6 +426,18 @@ function main() {
                             eval "$quant_script_prologue --weight_dtype int4 --group_size 32 --compute_dtype int8 --scale_dtype fp32 --alg sym"
                         elif [[ ${precision} == "q4_j_f32_g128" ]]; then
                             eval "$quant_script_prologue --weight_dtype int4 --group_size 128 --compute_dtype fp32 --scale_dtype fp32 --alg sym"
+                        elif [[ ${precision} == "q3_j_i8_g128" ]]; then
+                            eval "$quant_script_prologue --weight_dtype int3 --group_size 128 --compute_dtype int8 --scale_dtype fp32 --alg sym"
+                        elif [[ ${precision} == "q5_j_i8_g128" ]]; then
+                            eval "$quant_script_prologue --weight_dtype int5 --group_size 128 --compute_dtype int8 --scale_dtype fp32 --alg sym"
+                        elif [[ ${precision} == "q3_j_i8_g128_asym" ]]; then
+                            eval "$quant_script_prologue --weight_dtype int3 --group_size 128 --compute_dtype int8 --scale_dtype fp32 --alg asym"
+                        elif [[ ${precision} == "q5_j_i8_g128_asym" ]]; then
+                            eval "$quant_script_prologue --weight_dtype int5 --group_size 128 --compute_dtype int8 --scale_dtype fp32 --alg asym"
+                        elif [[ ${precision} == "q3_j_i8_pc_asym" ]]; then
+                            eval "$quant_script_prologue --weight_dtype int3 --group_size -1 --compute_dtype int8 --scale_dtype fp32 --alg asym"
+                        elif [[ ${precision} == "q5_j_i8_pc_asym" ]]; then
+                            eval "$quant_script_prologue --weight_dtype int5 --group_size -1 --compute_dtype int8 --scale_dtype fp32 --alg asym"
                         elif [[ ${precision} == "q4_j1_i8_g128" ]]; then
                             eval "$quant_script_prologue --weight_dtype int4 --group_size 128 --compute_dtype int8 --scale_dtype fp32 --alg asym"
                         elif [[ ${precision} == "q4_j1_bf16_pc" ]]; then