diff --git a/benchmarks/kmeans/outputs/benchopt_run_2023-10-12_05h33m25.parquet b/benchmarks/kmeans/outputs/benchopt_run_2023-10-12_05h33m25.parquet
new file mode 100644
index 0000000..227493f
Binary files /dev/null and b/benchmarks/kmeans/outputs/benchopt_run_2023-10-12_05h33m25.parquet differ
diff --git a/benchmarks/kmeans/results.csv b/benchmarks/kmeans/results.csv
index b4391f2..654ff83 100644
--- a/benchmarks/kmeans/results.csv
+++ b/benchmarks/kmeans/results.csv
@@ -4,54 +4,55 @@ d100dd1c,float32,50000000,14,127,random,None,8.32468994599185,scikit-learn-intel
 d100dd1c,float32,50000000,14,127,random,None,9.047839867067523,cuml,gpu,,2,Intel(R) Xeon(R) Silver 4214R CPU @ 2.40GHz,NVIDIA A100-PCIE-40GB,377,Linux,x86_64,4.18.0-394.el8.x86_64,2023-10-11,cuml 23.8.0,TODO: check it runs Lloyd ?,101,267388064.0,123,123
 d100dd1c,float32,50000000,14,127,random,None,12.359038264956324,kmeans-dpcpp,gpu,level_zero,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-09,dev,,100,267392256.0,123,123
 d100dd1c,float32,50000000,14,127,random,None,28.222608721000142,sklearn-pytorch-engine,cuda,,2,Intel(R) Xeon(R) Silver 4214R CPU @ 2.40GHz,NVIDIA A100-PCIE-40GB,377,Linux,x86_64,4.18.0-394.el8.x86_64,2023-10-11,sklearn-pytorch-engine dev; torch 2.1.0,,100,267392288.0,123,123
+d100dd1c,float32,50000000,14,127,random,None,41.58391990099335,scikit-learn,,,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-88-generic,2023-10-12,scikit-learn 1.3.0,,100,267391360.0,123,123
 d100dd1c,float32,50000000,14,127,random,None,176.8714012787677,kmeans-dpcpp,cpu,opencl,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-09,dev,,100,267392176.0,123,123
-d100dd1c,float32,50000000,14,127,random,None,389.2487173303962,scikit-learn,,,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-09,scikit-learn 1.4.dev0,,100,267391600.0,123,123
 d100dd1c,float32,50000000,14,127,random,None,502.3397317589842,scikit-learn-intelex,gpu,level_zero,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-88-generic,2023-10-12,scikit-learn-intelex 2023.2.1,,100,408405920.0,123,123
 d100dd1c,float32,50000000,14,127,random,None,550.4733134238049,sklearn-numba-dpex,cpu,opencl,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-08,sklearn-numba-dpex dev; numba-dpex 0.22.0.dev0+2.g511241f1,Not optimized for CPU.,100,1332001536.0,123,123
 8a3b498a,float32,50000000,14,127,random,random,5.75186387822032,sklearn-numba-dpex,gpu,level_zero,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-08,sklearn-numba-dpex dev; numba-dpex 0.22.0.dev0+2.g511241f1,,100,133726288.0,123,123
 8a3b498a,float32,50000000,14,127,random,random,9.427683050977066,cuml,gpu,,2,Intel(R) Xeon(R) Silver 4214R CPU @ 2.40GHz,NVIDIA A100-PCIE-40GB,377,Linux,x86_64,4.18.0-394.el8.x86_64,2023-10-11,cuml 23.8.0,TODO: check it runs Lloyd ?,101,267417648.0,123,123
 8a3b498a,float32,50000000,14,127,random,random,11.609843468759207,kmeans-dpcpp,gpu,level_zero,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-09,dev,,100,133726280.0,123,123
 8a3b498a,float32,50000000,14,127,random,random,27.25345578195993,sklearn-pytorch-engine,cuda,,2,Intel(R) Xeon(R) Silver 4214R CPU @ 2.40GHz,NVIDIA A100-PCIE-40GB,377,Linux,x86_64,4.18.0-394.el8.x86_64,2023-10-11,sklearn-pytorch-engine dev; torch 2.1.0,,100,133726096.0,123,123
+8a3b498a,float32,50000000,14,127,random,random,39.5421568119782,scikit-learn,,,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-88-generic,2023-10-12,scikit-learn 1.3.0,,100,133722120.0,123,123
 8a3b498a,float32,50000000,14,127,random,random,185.84053454175591,kmeans-dpcpp,cpu,opencl,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-09,dev,,100,133726376.0,123,123
-8a3b498a,float32,50000000,14,127,random,random,362.2441966729239,scikit-learn,,,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-09,scikit-learn 1.4.dev0,,100,133722048.0,123,123
 8a3b498a,float32,50000000,14,127,random,random,541.6780978450552,sklearn-numba-dpex,cpu,opencl,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-08,sklearn-numba-dpex dev; numba-dpex 0.22.0.dev0+2.g511241f1,Not optimized for CPU.,100,429838976.0,123,123
 e8a8e807,float32,50000000,14,127,k-means++,None,13.02205453699571,scikit-learn-intelex,cpu,numpy,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-88-generic,2023-10-12,scikit-learn-intelex 2023.2.1,,100,267389460.0,123,123
 e8a8e807,float32,50000000,14,127,k-means++,None,37.75450605992228,sklearn-pytorch-engine,cuda,,2,Intel(R) Xeon(R) Silver 4214R CPU @ 2.40GHz,NVIDIA A100-PCIE-40GB,377,Linux,x86_64,4.18.0-394.el8.x86_64,2023-10-11,sklearn-pytorch-engine dev; torch 2.1.0,,100,267390224.0,123,123
 e8a8e807,float32,50000000,14,127,k-means++,None,213.69462664984167,sklearn-numba-dpex,gpu,level_zero,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-08,sklearn-numba-dpex dev; numba-dpex 0.22.0.dev0+2.g511241f1,,100,267531648.0,123,123
+e8a8e807,float32,50000000,14,127,k-means++,None,378.2799343410006,scikit-learn,,,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-88-generic,2023-10-12,scikit-learn 1.3.0,,100,267425120.0,123,123
 e8a8e807,float32,50000000,14,127,k-means++,None,797.0063908197917,sklearn-numba-dpex,cpu,opencl,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-08,sklearn-numba-dpex dev; numba-dpex 0.22.0.dev0+2.g511241f1,Not optimized for CPU.,100,1050765504.0,123,123
-e8a8e807,float32,50000000,14,127,k-means++,None,2504.0141519312747,scikit-learn,,,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-09,scikit-learn 1.4.dev0,,100,267372928.0,123,123
 9920bee3,float32,50000000,14,127,k-means++,random,38.11649014998693,sklearn-pytorch-engine,cuda,,2,Intel(R) Xeon(R) Silver 4214R CPU @ 2.40GHz,NVIDIA A100-PCIE-40GB,377,Linux,x86_64,4.18.0-394.el8.x86_64,2023-10-11,sklearn-pytorch-engine dev; torch 2.1.0,,100,133676016.0,123,123
 9920bee3,float32,50000000,14,127,k-means++,random,199.10239065578207,sklearn-numba-dpex,gpu,level_zero,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-08,sklearn-numba-dpex dev; numba-dpex 0.22.0.dev0+2.g511241f1,,100,133742264.0,123,123
-9920bee3,float32,50000000,14,127,k-means++,random,460.5643289210275,scikit-learn,,,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-09,scikit-learn 1.4.dev0,,100,133724552.0,123,123
+9920bee3,float32,50000000,14,127,k-means++,random,771.055262075999,scikit-learn,,,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-88-generic,2023-10-12,scikit-learn 1.3.0,,100,133709264.0,123,123
 9920bee3,float32,50000000,14,127,k-means++,random,799.1304603572935,sklearn-numba-dpex,cpu,opencl,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-08,sklearn-numba-dpex dev; numba-dpex 0.22.0.dev0+2.g511241f1,Not optimized for CPU.,100,519604800.0,123,123
 d3535c07,float32,10000000,14,127,random,None,1.6561718439916149,scikit-learn-intelex,cpu,numpy,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-88-generic,2023-10-12,scikit-learn-intelex 2023.2.1,,100,53474024.0,123,123
 d3535c07,float32,10000000,14,127,random,None,1.983023043954745,cuml,gpu,,2,Intel(R) Xeon(R) Silver 4214R CPU @ 2.40GHz,NVIDIA A100-PCIE-40GB,377,Linux,x86_64,4.18.0-394.el8.x86_64,2023-10-11,cuml 23.8.0,TODO: check it runs Lloyd ?,101,53473156.0,123,123
 d3535c07,float32,10000000,14,127,random,None,3.5918378862552345,sklearn-numba-dpex,gpu,level_zero,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-08,sklearn-numba-dpex dev; numba-dpex 0.22.0.dev0+2.g511241f1,,100,53474008.0,123,123
 d3535c07,float32,10000000,14,127,random,None,4.642229963093996,kmeans-dpcpp,gpu,level_zero,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-09,dev,,100,53474032.0,123,123
 d3535c07,float32,10000000,14,127,random,None,5.614239262999035,sklearn-pytorch-engine,cuda,,2,Intel(R) Xeon(R) Silver 4214R CPU @ 2.40GHz,NVIDIA A100-PCIE-40GB,377,Linux,x86_64,4.18.0-394.el8.x86_64,2023-10-11,sklearn-pytorch-engine dev; torch 2.1.0,,100,53474000.0,123,123
+d3535c07,float32,10000000,14,127,random,None,8.147124312992673,scikit-learn,,,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-88-generic,2023-10-12,scikit-learn 1.3.0,,100,53473952.0,123,123
 d3535c07,float32,10000000,14,127,random,None,45.36837301682681,kmeans-dpcpp,cpu,opencl,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-09,dev,,100,53474044.0,123,123
 d3535c07,float32,10000000,14,127,random,None,100.84608627998388,scikit-learn-intelex,gpu,level_zero,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-88-generic,2023-10-12,scikit-learn-intelex 2023.2.1,,100,81649416.0,123,123
-d3535c07,float32,10000000,14,127,random,None,102.13706517312676,scikit-learn,,,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-09,scikit-learn 1.4.dev0,,100,53473972.0,123,123
 d3535c07,float32,10000000,14,127,random,None,120.81275535188615,sklearn-numba-dpex,cpu,opencl,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-08,sklearn-numba-dpex dev; numba-dpex 0.22.0.dev0+2.g511241f1,Not optimized for CPU.,100,336330816.0,123,123
 e9fb2542,float32,10000000,14,127,random,random,1.9050431039649995,cuml,gpu,,2,Intel(R) Xeon(R) Silver 4214R CPU @ 2.40GHz,NVIDIA A100-PCIE-40GB,377,Linux,x86_64,4.18.0-394.el8.x86_64,2023-10-11,cuml 23.8.0,TODO: check it runs Lloyd ?,101,53465080.0,123,123
 e9fb2542,float32,10000000,14,127,random,random,2.805791037157178,sklearn-numba-dpex,gpu,level_zero,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-08,sklearn-numba-dpex dev; numba-dpex 0.22.0.dev0+2.g511241f1,,100,26728456.0,123,123
 e9fb2542,float32,10000000,14,127,random,random,4.725059314165264,kmeans-dpcpp,gpu,level_zero,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-09,dev,,100,26728474.0,123,123
 e9fb2542,float32,10000000,14,127,random,random,5.365097710979171,sklearn-pytorch-engine,cuda,,2,Intel(R) Xeon(R) Silver 4214R CPU @ 2.40GHz,NVIDIA A100-PCIE-40GB,377,Linux,x86_64,4.18.0-394.el8.x86_64,2023-10-11,sklearn-pytorch-engine dev; torch 2.1.0,,100,26728456.0,123,123
+e9fb2542,float32,10000000,14,127,random,random,8.048907054995652,scikit-learn,,,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-88-generic,2023-10-12,scikit-learn 1.3.0,,100,26728412.0,123,123
 e9fb2542,float32,10000000,14,127,random,random,43.432053801603615,kmeans-dpcpp,cpu,opencl,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-09,dev,,100,26728440.0,123,123
-e9fb2542,float32,10000000,14,127,random,random,106.2562662498094,scikit-learn,,,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-09,scikit-learn 1.4.dev0,,100,26728422.0,123,123
 e9fb2542,float32,10000000,14,127,random,random,121.37097851000726,sklearn-numba-dpex,cpu,opencl,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-08,sklearn-numba-dpex dev; numba-dpex 0.22.0.dev0+2.g511241f1,Not optimized for CPU.,100,104161736.0,123,123
 5b29b557,float32,10000000,14,127,k-means++,None,2.6313928160234354,scikit-learn-intelex,cpu,numpy,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-88-generic,2023-10-12,scikit-learn-intelex 2023.2.1,,100,53468250.0,123,123
 5b29b557,float32,10000000,14,127,k-means++,None,7.316019086050801,sklearn-pytorch-engine,cuda,,2,Intel(R) Xeon(R) Silver 4214R CPU @ 2.40GHz,NVIDIA A100-PCIE-40GB,377,Linux,x86_64,4.18.0-394.el8.x86_64,2023-10-11,sklearn-pytorch-engine dev; torch 2.1.0,,100,53476752.0,123,123
 5b29b557,float32,10000000,14,127,k-means++,None,49.13013430498541,sklearn-numba-dpex,gpu,level_zero,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-08,sklearn-numba-dpex dev; numba-dpex 0.22.0.dev0+2.g511241f1,,100,53482060.0,123,123
+5b29b557,float32,10000000,14,127,k-means++,None,82.62662220199127,scikit-learn,,,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-88-generic,2023-10-12,scikit-learn 1.3.0,,100,53500444.0,123,123
 5b29b557,float32,10000000,14,127,k-means++,None,156.6326032038778,sklearn-numba-dpex,cpu,opencl,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-08,sklearn-numba-dpex dev; numba-dpex 0.22.0.dev0+2.g511241f1,Not optimized for CPU.,100,353163712.0,123,123
-5b29b557,float32,10000000,14,127,k-means++,None,1943.8275964488275,scikit-learn,,,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-09,scikit-learn 1.4.dev0,,100,53478460.0,123,123
 00047a47,float32,10000000,14,127,k-means++,random,7.387294158921577,sklearn-pytorch-engine,cuda,,2,Intel(R) Xeon(R) Silver 4214R CPU @ 2.40GHz,NVIDIA A100-PCIE-40GB,377,Linux,x86_64,4.18.0-394.el8.x86_64,2023-10-11,sklearn-pytorch-engine dev; torch 2.1.0,,100,26730000.0,123,123
 00047a47,float32,10000000,14,127,k-means++,random,25.19594551809132,sklearn-numba-dpex,gpu,level_zero,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-08,sklearn-numba-dpex dev; numba-dpex 0.22.0.dev0+2.g511241f1,,100,26737180.0,123,123
+00047a47,float32,10000000,14,127,k-means++,random,82.0960545539856,scikit-learn,,,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-88-generic,2023-10-12,scikit-learn 1.3.0,,100,26726834.0,123,123
 00047a47,float32,10000000,14,127,k-means++,random,153.47472040820867,sklearn-numba-dpex,cpu,opencl,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-08,sklearn-numba-dpex dev; numba-dpex 0.22.0.dev0+2.g511241f1,Not optimized for CPU.,100,169065104.0,123,123
-00047a47,float32,10000000,14,127,k-means++,random,1952.726973965764,scikit-learn,,,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-09,scikit-learn 1.4.dev0,,100,26737212.0,123,123
 9a20a3a6,float32,1000000,14,127,random,None,0.1894174760673195,cuml,gpu,,2,Intel(R) Xeon(R) Silver 4214R CPU @ 2.40GHz,NVIDIA A100-PCIE-40GB,377,Linux,x86_64,4.18.0-394.el8.x86_64,2023-10-11,cuml 23.8.0,TODO: check it runs Lloyd ?,101,5345060.0,123,123
 9a20a3a6,float32,1000000,14,127,random,None,0.1979712420143187,scikit-learn-intelex,cpu,numpy,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-88-generic,2023-10-12,scikit-learn-intelex 2023.2.1,,100,5345163.5,123,123
 9a20a3a6,float32,1000000,14,127,random,None,0.5943243299843743,sklearn-pytorch-engine,cuda,,2,Intel(R) Xeon(R) Silver 4214R CPU @ 2.40GHz,NVIDIA A100-PCIE-40GB,377,Linux,x86_64,4.18.0-394.el8.x86_64,2023-10-11,sklearn-pytorch-engine dev; torch 2.1.0,,100,5345148.0,123,123
+9a20a3a6,float32,1000000,14,127,random,None,0.8563868579803966,scikit-learn,,,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-88-generic,2023-10-12,scikit-learn 1.3.0,,100,5345157.0,123,123
 9a20a3a6,float32,1000000,14,127,random,None,1.6890147812664509,sklearn-numba-dpex,gpu,level_zero,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-08,sklearn-numba-dpex dev; numba-dpex 0.22.0.dev0+2.g511241f1,,100,5345147.5,123,123
 9a20a3a6,float32,1000000,14,127,random,None,3.6189018562436095,kmeans-dpcpp,gpu,level_zero,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-09,dev,,100,5345142.0,123,123
 9a20a3a6,float32,1000000,14,127,random,None,4.418679291033186,scikit-learn,,,8,Apple M1,Apple M1,16,Darwin,arm64,23.0.0,2023-10-11,scikit-learn 1.4.dev0,,100,5345126.0,123,123
@@ -59,30 +60,29 @@ e9fb2542,float32,10000000,14,127,random,random,121.37097851000726,sklearn-numba-
 9a20a3a6,float32,1000000,14,127,random,None,9.8976856469817,scikit-learn-intelex,gpu,level_zero,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-88-generic,2023-10-12,scikit-learn-intelex 2023.2.1,,100,8157591.5,123,123
 9a20a3a6,float32,1000000,14,127,random,None,19.097986291977577,sklearn-pytorch-engine,cpu,,8,Apple M1,Apple M1,16,Darwin,arm64,23.0.0,2023-10-11,sklearn-pytorch-engine dev; torch 2.0.0,,100,5345101.5,123,123
 9a20a3a6,float32,1000000,14,127,random,None,20.57710678083822,sklearn-numba-dpex,cpu,opencl,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-08,sklearn-numba-dpex dev; numba-dpex 0.22.0.dev0+2.g511241f1,Not optimized for CPU.,100,23207092.0,123,123
-9a20a3a6,float32,1000000,14,127,random,None,27.18216971401125,scikit-learn,,,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-09,scikit-learn 1.4.dev0,,100,5345183.0,123,123
 9a20a3a6,float32,1000000,14,127,random,None,149.2105844580219,sklearn-pytorch-engine,mps,,8,Apple M1,Apple M1,16,Darwin,arm64,23.0.0,2023-10-11,sklearn-pytorch-engine dev; torch 2.1.0,,100,5345165.5,123,123
 7c25e932,float32,1000000,14,127,random,random,0.1976760550169274,cuml,gpu,,2,Intel(R) Xeon(R) Silver 4214R CPU @ 2.40GHz,NVIDIA A100-PCIE-40GB,377,Linux,x86_64,4.18.0-394.el8.x86_64,2023-10-11,cuml 23.8.0,TODO: check it runs Lloyd ?,101,5343899.5,123,123
 7c25e932,float32,1000000,14,127,random,random,0.5647175390040502,sklearn-pytorch-engine,cuda,,2,Intel(R) Xeon(R) Silver 4214R CPU @ 2.40GHz,NVIDIA A100-PCIE-40GB,377,Linux,x86_64,4.18.0-394.el8.x86_64,2023-10-11,sklearn-pytorch-engine dev; torch 2.1.0,,100,2671412.0,123,123
+7c25e932,float32,1000000,14,127,random,random,0.8499407440249342,scikit-learn,,,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-88-generic,2023-10-12,scikit-learn 1.3.0,,100,2671371.0,123,123
 7c25e932,float32,1000000,14,127,random,random,1.7322648712433877,sklearn-numba-dpex,gpu,level_zero,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-08,sklearn-numba-dpex dev; numba-dpex 0.22.0.dev0+2.g511241f1,,100,2671394.0,123,123
 7c25e932,float32,1000000,14,127,random,random,3.244271691888571,kmeans-dpcpp,gpu,level_zero,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-09,dev,,100,2671453.5,123,123
 7c25e932,float32,1000000,14,127,random,random,4.458148790989071,scikit-learn,,,8,Apple M1,Apple M1,16,Darwin,arm64,23.0.0,2023-10-11,scikit-learn 1.4.dev0,,100,2671385.25,123,123
 7c25e932,float32,1000000,14,127,random,random,7.301524247974157,kmeans-dpcpp,cpu,opencl,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-09,dev,,100,2671395.25,123,123
 7c25e932,float32,1000000,14,127,random,random,19.133702582970727,sklearn-pytorch-engine,cpu,,8,Apple M1,Apple M1,16,Darwin,arm64,23.0.0,2023-10-11,sklearn-pytorch-engine dev; torch 2.1.0,,100,2671379.0,123,123
 7c25e932,float32,1000000,14,127,random,random,19.809764940757304,sklearn-numba-dpex,cpu,opencl,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-08,sklearn-numba-dpex dev; numba-dpex 0.22.0.dev0+2.g511241f1,Not optimized for CPU.,100,9888284.0,123,123
-7c25e932,float32,1000000,14,127,random,random,27.38856853498146,scikit-learn,,,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-09,scikit-learn 1.4.dev0,,100,2671427.0,123,123
 7c25e932,float32,1000000,14,127,random,random,151.08150166703854,sklearn-pytorch-engine,mps,,8,Apple M1,Apple M1,16,Darwin,arm64,23.0.0,2023-10-11,sklearn-pytorch-engine dev; torch 2.1.0,,100,2671363.5,123,123
 d93db8bf,float32,1000000,14,127,k-means++,None,0.2746370940003544,scikit-learn-intelex,cpu,numpy,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-88-generic,2023-10-12,scikit-learn-intelex 2023.2.1,,100,5345824.0,123,123
 d93db8bf,float32,1000000,14,127,k-means++,None,0.7744729309342802,sklearn-pytorch-engine,cuda,,2,Intel(R) Xeon(R) Silver 4214R CPU @ 2.40GHz,NVIDIA A100-PCIE-40GB,377,Linux,x86_64,4.18.0-394.el8.x86_64,2023-10-11,sklearn-pytorch-engine dev; torch 2.1.0,,100,5345201.5,123,123
 d93db8bf,float32,1000000,14,127,k-means++,None,6.200527431908995,sklearn-numba-dpex,gpu,level_zero,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-08,sklearn-numba-dpex dev; numba-dpex 0.22.0.dev0+2.g511241f1,,100,5344455.0,123,123
+d93db8bf,float32,1000000,14,127,k-means++,None,6.554130992997671,scikit-learn,,,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-88-generic,2023-10-12,scikit-learn 1.3.0,,100,5345791.5,123,123
 d93db8bf,float32,1000000,14,127,k-means++,None,9.252505333046429,scikit-learn,,,8,Apple M1,Apple M1,16,Darwin,arm64,23.0.0,2023-10-11,scikit-learn 1.4.dev0,,100,5347334.0,123,123
 d93db8bf,float32,1000000,14,127,k-means++,None,24.24171679199208,sklearn-pytorch-engine,cpu,,8,Apple M1,Apple M1,16,Darwin,arm64,23.0.0,2023-10-11,sklearn-pytorch-engine dev; torch 2.1.0,,100,5342942.5,123,123
 d93db8bf,float32,1000000,14,127,k-means++,None,27.05576689634472,sklearn-numba-dpex,cpu,opencl,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-08,sklearn-numba-dpex dev; numba-dpex 0.22.0.dev0+2.g511241f1,Not optimized for CPU.,100,24322330.0,123,123
-d93db8bf,float32,1000000,14,127,k-means++,None,45.943600572645664,scikit-learn,,,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-09,scikit-learn 1.4.dev0,,100,5344959.0,123,123
 d93db8bf,float32,1000000,14,127,k-means++,None,160.543718208035,sklearn-pytorch-engine,mps,,8,Apple M1,Apple M1,16,Darwin,arm64,23.0.0,2023-10-11,sklearn-pytorch-engine dev; torch 2.1.0,,100,5345512.5,123,123
 006dbe93,float32,1000000,14,127,k-means++,random,0.7828009460354224,sklearn-pytorch-engine,cuda,,2,Intel(R) Xeon(R) Silver 4214R CPU @ 2.40GHz,NVIDIA A100-PCIE-40GB,377,Linux,x86_64,4.18.0-394.el8.x86_64,2023-10-11,sklearn-pytorch-engine dev; torch 2.1.0,,100,2671423.75,123,123
 006dbe93,float32,1000000,14,127,k-means++,random,6.00107304006815,sklearn-numba-dpex,gpu,level_zero,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-08,sklearn-numba-dpex dev; numba-dpex 0.22.0.dev0+2.g511241f1,,100,2671724.5,123,123
+006dbe93,float32,1000000,14,127,k-means++,random,6.51603890498518,scikit-learn,,,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-88-generic,2023-10-12,scikit-learn 1.3.0,,100,2673166.0,123,123
 006dbe93,float32,1000000,14,127,k-means++,random,9.119493082980624,scikit-learn,,,8,Apple M1,Apple M1,16,Darwin,arm64,23.0.0,2023-10-11,scikit-learn 1.4.dev0,,100,2671077.0,123,123
 006dbe93,float32,1000000,14,127,k-means++,random,23.85489466699073,sklearn-pytorch-engine,cpu,,8,Apple M1,Apple M1,16,Darwin,arm64,23.0.0,2023-10-11,sklearn-pytorch-engine dev; torch 2.1.0,,100,2671790.0,123,123
 006dbe93,float32,1000000,14,127,k-means++,random,29.255209711845964,sklearn-numba-dpex,cpu,opencl,64,Intel(R) Xeon(R) Platinum 8480L,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-08,sklearn-numba-dpex dev; numba-dpex 0.22.0.dev0+2.g511241f1,Not optimized for CPU.,100,11395462.0,123,123
-006dbe93,float32,1000000,14,127,k-means++,random,45.69487607898191,scikit-learn,,,64,Intel(R) Xeon(R) Platinum 8480+,Intel(R) Data Center GPU Max 1100 (x4),504,Linux,x86_64,5.15.0-83-generic,2023-10-09,scikit-learn 1.4.dev0,,100,2672348.75,123,123
 006dbe93,float32,1000000,14,127,k-means++,random,159.75069841602817,sklearn-pytorch-engine,mps,,8,Apple M1,Apple M1,16,Darwin,arm64,23.0.0,2023-10-11,sklearn-pytorch-engine dev; torch 2.1.0,,100,2672212.0,123,123