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Fix alignment check for non 16-byte alignments #175

Merged
merged 1 commit into from
Nov 15, 2023
Merged

Fix alignment check for non 16-byte alignments #175

merged 1 commit into from
Nov 15, 2023

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thomasfaingnaert
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@maleadt
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maleadt commented Nov 15, 2023

Benchmark results for commit 8caa172 (comparing to 912fa05):

test master PR Δmin
WMMA GEMM Float16*Float16+Float32=Float32 (128×128) · (128×128) (NN) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 9.16 μs ± 1.73% (8.82 … 9.54 μs) 8.11 μs ± 2.02% (7.87 … 8.34 μs) -10.8% ✅
FPU GEMM Float32*Float32=Float64 (128×128) · (128×128) (TN) OP (8, 16, 2), base shape (4, 8, 1) 180.0 μs ± 0.704% (175.0 … 181.0 μs) 156.0 μs ± 0.68% (155.0 … 159.0 μs) -11.1% ✅
WMMA GEMM Float16*Float16+Float16=Float16 (2048×2048) · (2048×2048) (NN) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 221.0 μs ± 4.43% (207.0 … 239.0 μs) 231.0 μs ± 1.07% (224.0 … 238.0 μs) +8.2% ❌
FPU GEMM Float64*Float64=Float64 (128×128) · (128×128) (NN) OP (8, 16, 2), base shape (4, 8, 1) 144.0 μs ± 4.94% (129.0 … 149.0 μs) 148.0 μs ± 0.156% (147.0 … 149.0 μs) +13.6% ❌
FPU GEMM Float32*Float32=Float64 (128×128) · (128×128) (NT) OP (8, 16, 2), base shape (4, 8, 1) 178.0 μs ± 0.556% (175.0 … 180.0 μs) 156.0 μs ± 0.462% (154.0 … 158.0 μs) -11.9% ✅
WMMA GEMM Float16*Float16+Float32=Float32 (128×128) · (128×128) (NT) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 9.11 μs ± 1.82% (8.82 … 9.3 μs) 8.05 μs ± 2.06% (7.87 … 8.34 μs) -10.8% ✅
WMMA GEMM+bias Float16*Float16+Float32=Float32 (128×128) · (128×128) (TT) OP (16, 16, 16) 10.3 μs ± 1.76% (9.78 … 11.0 μs) 9.04 μs ± 1.9% (8.82 … 9.54 μs) -9.8% ✅
WMMA diagonal GEMM diag(Float16)*Float16=Float32 (128×128) · (128×128) (NN) OP (16, 16, 16) 11.2 μs ± 1.14% (11.0 … 11.7 μs) 9.94 μs ± 1.24% (9.54 … 10.0 μs) -13.0% ✅
WMMA GEMM Float16*Float16+Float16=Float16 (256×256) · (256×256) (TN) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 8.42 μs ± 1.68% (8.11 … 8.82 μs) 7.76 μs ± 6.46% (7.15 … 9.06 μs) -11.8% ✅
WMMA GEMM Float16*Float16+Float32=Float32 (128×128) · (128×128) (TN) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 8.99 μs ± 1.61% (8.58 … 9.3 μs) 7.95 μs ± 1.61% (7.63 … 8.34 μs) -11.1% ✅
Tropical GEMM Float32*Float32=Float32 (128×256) · (256×128) (TT) OP (8, 16, 2), base shape (4, 8, 1) 122.0 μs ± 5.07% (109.0 … 126.0 μs) 125.0 μs ± 0.129% (125.0 … 126.0 μs) +13.9% ❌
WMMA GEMM Float16*Float16+Float32=Float32 (128×128) · (128×128) (TT) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 9.11 μs ± 1.83% (8.82 … 9.3 μs) 8.0 μs ± 2.02% (7.87 … 8.34 μs) -10.8% ✅
Tropical GEMM Float32*Float32=Float32 (256×256) · (256×256) (NT) OP (8, 16, 2), base shape (4, 8, 1) 127.0 μs ± 0.137% (127.0 … 128.0 μs) 112.0 μs ± 0.147% (112.0 … 113.0 μs) -11.8% ✅
FPU GEMM Float16*Float16=Float32 (128×128) · (128×128) (TN) OP (8, 16, 2), base shape (4, 8, 1) 7.8 μs ± 2.14% (7.63 … 8.11 μs) 6.88 μs ± 1.3% (6.44 … 7.15 μs) -15.6% ✅
Tropical GEMM Float32*Float32=Float32 (128×128) · (128×128) (TT) OP (8, 16, 2), base shape (4, 8, 1) 56.0 μs ± 0.252% (55.8 … 56.5 μs) 63.8 μs ± 0.266% (63.4 … 64.1 μs) +13.7% ❌
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (NN) OP (4, 8, 1), base shape (4, 8, 1) 15.3 μs ± 1.1% (15.0 … 15.7 μs) 13.5 μs ± 1.07% (13.1 … 13.8 μs) -12.7% ✅
WMMA GEMM Float16*Float16+Float16=Float16 (256×256) · (256×256) (TT) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 8.47 μs ± 1.78% (8.11 … 8.82 μs) 7.47 μs ± 1.84% (7.15 … 7.87 μs) -11.8% ✅
FPU GEMM Float16*Float16=Float32 (128×128) · (128×128) (TT) OP (8, 16, 2), base shape (4, 8, 1) 9.27 μs ± 1.6% (9.06 … 9.54 μs) 8.17 μs ± 1.63% (7.87 … 8.34 μs) -13.2% ✅
Tropical GEMM Float32*Float32=Float32 (128×128) · (128×128) (TN) OP (8, 16, 2), base shape (4, 8, 1) 55.4 μs ± 0.245% (55.1 … 55.8 μs) 63.1 μs ± 0.26% (62.7 … 63.4 μs) +13.9% ❌
FPU GEMM Float32*Float32=Float64 (128×128) · (128×128) (NN) OP (8, 16, 2), base shape (4, 8, 1) 180.0 μs ± 0.201% (178.0 … 182.0 μs) 174.0 μs ± 5.57% (157.0 … 181.0 μs) -11.8% ✅

Comparison with baseline

test GemmKernels Baseline %
FPU GEMM Float32*Float32=Float32 (256×256) · (256×256) (TT) OP (8, 16, 2), base shape (4, 8, 1) 15.0 μs ± 1.13% (14.8 … 15.3 μs) 7.21 μs ± 1.67% (6.91 … 7.63 μs) 46.8
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (NT) OP (4, 32, 1), base shape (1, 32, 1) 16.1 μs ± 1.03% (15.7 … 16.2 μs) 4.18 μs ± 3.7% (4.05 … 4.53 μs) 25.8
WMMA GEMM Float16*Float16+Float16=Float16 (2048×2048) · (2048×2048) (TN) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 230.0 μs ± 0.675% (225.0 … 234.0 μs) 189.0 μs ± 2.47% (180.0 … 195.0 μs) 80.1
WMMA GEMM Float16*Float16+Float32=Float32 (128×128) · (128×128) (TN) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 7.95 μs ± 1.61% (7.63 … 8.34 μs) 2.34 μs ± 6.13% (2.15 … 2.62 μs) 28.1
WMMA GEMM Float16*Float16+Float16=Float16 (2048×2048) · (2048×2048) (NT) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 223.0 μs ± 1.68% (205.0 … 229.0 μs) 186.0 μs ± 2.48% (171.0 … 192.0 μs) 83.6
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (TT) OP (16, 16, 1), base shape (8, 4, 1) 14.5 μs ± 1.07% (14.3 … 14.8 μs) 4.02 μs ± 3.4% (3.81 … 4.29 μs) 26.7
FPU GEMM Float32*Float32=Float32 (2048×2048) · (2048×2048) (NN) OP (8, 16, 2), base shape (4, 8, 1) 1.84 ms ± 2.57% (1.82 … 2.02 ms) 996.0 μs ± 1.3% (936.0 … 1020.0 μs) 51.5
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (TT) OP (32, 4, 1), base shape (32, 1, 1) 13.1 μs ± 0.947% (12.6 … 13.4 μs) 4.04 μs ± 3.56% (3.81 … 4.29 μs) 30.2
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (NN) OP (32, 4, 1), base shape (16, 2, 1) 19.1 μs ± 0.917% (18.8 … 19.3 μs) 4.08 μs ± 2.74% (3.81 … 4.29 μs) 20.3
FPU GEMM Float16*Float16=Float32 (2048×2048) · (2048×2048) (TT) OP (8, 16, 2), base shape (4, 8, 1) 1.83 ms ± 2.67% (1.8 … 2.02 ms) 291.0 μs ± 0.206% (289.0 … 293.0 μs) 16.1
FPU GEMM Float64*Float64=Float64 (2048×2048) · (2048×2048) (TN) OP (8, 16, 2), base shape (4, 8, 1) 46.2 ms ± 0.728% (46.0 … 52.4 ms) 41.0 ms ± 0.00317% (41.0 … 41.0 ms) 89.1
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (TN) OP (32, 4, 1), base shape (16, 2, 1) 19.1 μs ± 0.887% (18.8 … 19.3 μs) 4.28 μs ± 3.46% (4.05 … 4.53 μs) 21.5
FPU GEMM Float64*Float64=Float64 (256×256) · (256×256) (TN) OP (8, 16, 2), base shape (4, 8, 1) 285.0 μs ± 3.8% (255.0 … 293.0 μs) 109.0 μs ± 0.161% (109.0 … 109.0 μs) 42.7
WMMA GEMM Float16*Float16+Float16=Float16 (256×256) · (256×256) (NT) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 7.42 μs ± 1.88% (7.15 … 7.87 μs) 3.81 μs ± 3.08% (3.58 … 4.29 μs) 50.0
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (NN) OP (8, 16, 2), base shape (4, 8, 1) 15.3 μs ± 1.16% (15.0 … 15.7 μs) 4.07 μs ± 2.89% (3.81 … 4.29 μs) 25.4
WMMA GEMM Float16*Float16+Float16=Float16 (512×256) · (256×512) (TT) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 8.74 μs ± 1.89% (8.34 … 9.06 μs) 5.18 μs ± 3.06% (4.77 … 5.48 μs) 57.1
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (TN) OP (4, 8, 1), base shape (4, 8, 1) 15.2 μs ± 1.09% (15.0 … 15.5 μs) 4.3 μs ± 3.46% (4.05 … 4.53 μs) 27.0
FPU GEMM Float32*Float32=Float32 (2048×2048) · (2048×2048) (TT) OP (8, 16, 2), base shape (4, 8, 1) 1.87 ms ± 2.72% (1.84 … 2.05 ms) 1.1 ms ± 1.71% (1.03 … 1.14 ms) 56.2
FPU GEMM Float64*Float64=Float64 (256×256) · (256×256) (NN) OP (8, 16, 2), base shape (4, 8, 1) 281.0 μs ± 5.58% (256.0 … 292.0 μs) 109.0 μs ± 0.156% (109.0 … 109.0 μs) 42.6
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (TT) OP (4, 8, 1), base shape (4, 8, 1) 15.2 μs ± 1.05% (15.0 … 15.5 μs) 4.03 μs ± 3.53% (3.81 … 4.53 μs) 25.4
WMMA GEMM Float16*Float16+Float32=Float32 (2048×2048) · (2048×2048) (NN) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 362.0 μs ± 4.97% (343.0 … 390.0 μs) 292.0 μs ± 0.323% (290.0 … 294.0 μs) 84.6
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (NN) OP (16, 16, 1), base shape (4, 8, 1) 15.3 μs ± 0.904% (15.0 … 15.7 μs) 4.08 μs ± 2.61% (3.81 … 4.29 μs) 25.4
FPU GEMM Float32*Float32=Float32 (2048×2048) · (2048×2048) (TN) OP (8, 16, 2), base shape (4, 8, 1) 1.45 ms ± 2.21% (1.43 … 1.53 ms) 1.11 ms ± 1.79% (1.04 … 1.15 ms) 72.6
WMMA GEMM Float16*Float16+Float32=Float32 (128×128) · (128×128) (NN) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 8.11 μs ± 2.02% (7.87 … 8.34 μs) 2.23 μs ± 7.3% (1.91 … 2.38 μs) 24.2
FPU GEMM Float16*Float16=Float32 (2048×2048) · (2048×2048) (NN) OP (8, 16, 2), base shape (4, 8, 1) 1.86 ms ± 3.45% (1.81 … 2.03 ms) 292.0 μs ± 0.314% (290.0 … 294.0 μs) 16.1
FPU GEMM Float64*Float64=Float64 (128×128) · (128×128) (TT) OP (8, 16, 2), base shape (4, 8, 1) 131.0 μs ± 0.39% (129.0 … 132.0 μs) 28.8 μs ± 0.558% (28.6 … 29.1 μs) 22.2
WMMA GEMM Float16*Float16+Float32=Float32 (128×128) · (128×128) (TT) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 8.0 μs ± 2.02% (7.87 … 8.34 μs) 2.46 μs ± 6.56% (2.15 … 2.62 μs) 27.3
FPU GEMM Float64*Float64=Float64 (2048×2048) · (2048×2048) (TT) OP (8, 16, 2), base shape (4, 8, 1) 46.3 ms ± 0.945% (46.0 … 52.4 ms) 41.0 ms ± 0.00328% (41.0 … 41.0 ms) 89.1
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (NT) OP (32, 4, 1), base shape (32, 1, 1) 12.6 μs ± 1.32% (12.4 … 12.9 μs) 4.19 μs ± 3.71% (4.05 … 4.53 μs) 32.7
WMMA GEMM Float16*Float16+Float32=Float32 (2048×2048) · (2048×2048) (NT) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 381.0 μs ± 4.58% (350.0 … 397.0 μs) 291.0 μs ± 0.335% (289.0 … 293.0 μs) 82.6
FPU GEMM Float16*Float16=Float32 (256×256) · (256×256) (TN) OP (8, 16, 2), base shape (4, 8, 1) 13.0 μs ± 1.07% (12.6 … 13.4 μs) 3.8 μs ± 3.19% (3.58 … 4.29 μs) 28.3
WMMA GEMM Float16*Float16+Float16=Float16 (256×256) · (256×256) (NN) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 8.43 μs ± 1.87% (8.11 … 8.82 μs) 3.7 μs ± 3.87% (3.58 … 4.05 μs) 44.1
WMMA GEMM Float16*Float16+Float32=Float32 (2048×2048) · (2048×2048) (TT) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 365.0 μs ± 5.11% (341.0 … 389.0 μs) 292.0 μs ± 0.303% (290.0 … 293.0 μs) 84.8
FPU GEMM Float16*Float16=Float32 (2048×2048) · (2048×2048) (NT) OP (8, 16, 2), base shape (4, 8, 1) 2.3 ms ± 3.32% (2.26 … 2.56 ms) 291.0 μs ± 0.313% (289.0 … 293.0 μs) 12.8
FPU GEMM Float16*Float16=Float32 (128×128) · (128×128) (TN) OP (8, 16, 2), base shape (4, 8, 1) 6.88 μs ± 1.3% (6.44 … 7.15 μs) 2.34 μs ± 6.77% (1.91 … 2.62 μs) 29.6
WMMA GEMM Float16*Float16+Float32=Float32 (256×128) · (128×256) (TN) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 9.05 μs ± 1.88% (8.82 … 9.3 μs) 2.88 μs ± 4.9% (2.62 … 3.1 μs) 29.7
WMMA GEMM Float16*Float16+Float32=Float32 (128×256) · (256×128) (TN) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 12.3 μs ± 1.17% (12.2 … 12.6 μs) 2.92 μs ± 5.27% (2.62 … 3.1 μs) 21.6
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (NT) OP (4, 8, 2), base shape (4, 8, 1) 16.0 μs ± 1.03% (15.7 … 16.5 μs) 4.17 μs ± 3.75% (4.05 … 4.53 μs) 25.8
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (NT) OP (8, 16, 2), base shape (4, 8, 1) 16.4 μs ± 1.01% (16.0 … 16.7 μs) 4.18 μs ± 3.69% (4.05 … 4.53 μs) 25.4
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (NN) OP (32, 4, 1), base shape (32, 1, 1) 31.6 μs ± 0.465% (31.5 … 31.9 μs) 4.07 μs ± 2.83% (3.81 … 4.29 μs) 12.1
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (TT) OP (8, 16, 2), base shape (4, 8, 1) 13.5 μs ± 0.95% (13.1 … 13.8 μs) 4.03 μs ± 3.53% (3.81 … 4.29 μs) 29.1
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (NN) OP (4, 32, 1), base shape (1, 32, 1) 15.7 μs ± 1.1% (15.5 … 16.0 μs) 4.08 μs ± 2.52% (3.81 … 4.29 μs) 24.6
FPU GEMM Float16*Float16=Float32 (256×256) · (256×256) (NT) OP (8, 16, 2), base shape (4, 8, 1) 18.1 μs ± 0.867% (17.9 … 18.4 μs) 3.9 μs ± 3.6% (3.58 … 4.29 μs) 20.0
WMMA GEMM Float16*Float16+Float16=Float16 (2048×2048) · (2048×2048) (TT) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 221.0 μs ± 3.1% (206.0 … 229.0 μs) 189.0 μs ± 1.94% (178.0 … 195.0 μs) 86.4
WMMA GEMM Float16*Float16+Float16=Float16 (2048×2048) · (2048×2048) (NN) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 231.0 μs ± 1.07% (224.0 … 238.0 μs) 185.0 μs ± 2.2% (175.0 … 190.0 μs) 78.3
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (TN) OP (4, 32, 1), base shape (2, 16, 1) 21.9 μs ± 0.761% (21.7 … 22.2 μs) 4.29 μs ± 3.37% (4.05 … 4.53 μs) 18.7
WMMA GEMM Float16*Float16+Float32=Float32 (128×256) · (256×128) (NN) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 12.1 μs ± 1.43% (11.9 … 12.4 μs) 3.1 μs ± 3.64% (2.86 … 3.34 μs) 24.0
FPU GEMM Float64*Float64=Float64 (128×128) · (128×128) (NT) OP (8, 16, 2), base shape (4, 8, 1) 132.0 μs ± 1.16% (129.0 … 134.0 μs) 30.1 μs ± 0.529% (29.8 … 30.3 μs) 23.0
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (NN) OP (16, 16, 1), base shape (8, 4, 1) 14.5 μs ± 1.06% (14.3 … 14.8 μs) 4.08 μs ± 2.8% (3.81 … 4.29 μs) 26.7
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (TT) OP (4, 8, 2), base shape (4, 8, 1) 12.4 μs ± 1.4% (12.2 … 12.6 μs) 4.03 μs ± 3.56% (3.81 … 4.53 μs) 31.4
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (TT) OP (16, 16, 1), base shape (4, 8, 1) 15.4 μs ± 1.08% (15.3 … 15.7 μs) 4.03 μs ± 3.45% (3.81 … 4.29 μs) 25.0
WMMA GEMM Float16*Float16+Float16=Float16 (256×512) · (512×256) (NN) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 12.0 μs ± 1.37% (11.7 … 12.4 μs) 5.21 μs ± 3.25% (5.01 … 5.72 μs) 42.9
WMMA GEMM Float16*Float16+Float16=Float16 (512×512) · (512×512) (NT) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 12.3 μs ± 1.47% (11.9 … 12.6 μs) 7.23 μs ± 1.81% (6.91 … 7.63 μs) 58.0
WMMA GEMM Float16*Float16+Float16=Float16 (512×256) · (256×512) (NN) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 8.68 μs ± 2.17% (8.34 … 9.06 μs) 4.96 μs ± 3.41% (4.77 … 5.25 μs) 57.1
FPU GEMM Float64*Float64=Float64 (128×128) · (128×128) (NN) OP (8, 16, 2), base shape (4, 8, 1) 148.0 μs ± 0.156% (147.0 … 149.0 μs) 28.7 μs ± 0.481% (28.6 … 29.1 μs) 19.4
WMMA GEMM Float16*Float16+Float32=Float32 (256×256) · (256×256) (TN) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 12.4 μs ± 1.36% (12.2 … 12.6 μs) 3.81 μs ± 3.13% (3.58 … 4.29 μs) 29.4
WMMA GEMM Float16*Float16+Float32=Float32 (256×256) · (256×256) (TT) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 12.2 μs ± 1.31% (11.9 … 12.4 μs) 3.94 μs ± 3.94% (3.58 … 4.53 μs) 30.0
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (TT) OP (4, 32, 1), base shape (2, 16, 1) 21.9 μs ± 0.75% (21.7 … 22.2 μs) 4.03 μs ± 3.56% (3.81 … 4.29 μs) 17.6
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (TT) OP (32, 4, 1), base shape (16, 2, 1) 19.1 μs ± 0.879% (18.8 … 19.3 μs) 4.02 μs ± 3.53% (3.81 … 4.29 μs) 20.3
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (TN) OP (4, 8, 2), base shape (4, 8, 1) 11.9 μs ± 1.37% (11.7 … 12.2 μs) 4.29 μs ± 3.42% (4.05 … 4.53 μs) 34.7
WMMA GEMM Float16*Float16+Float16=Float16 (256×512) · (512×256) (TT) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 12.2 μs ± 1.43% (11.9 … 12.6 μs) 5.18 μs ± 3.06% (5.01 … 5.48 μs) 42.0
WMMA GEMM Float16*Float16+Float16=Float16 (512×256) · (256×512) (TN) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 8.69 μs ± 2.08% (8.34 … 9.06 μs) 5.1 μs ± 3.06% (4.77 … 5.48 μs) 57.1
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (TN) OP (4, 16, 1), base shape (4, 8, 1) 15.2 μs ± 1.09% (15.0 … 15.5 μs) 4.29 μs ± 3.35% (4.05 … 4.53 μs) 27.0
WMMA GEMM Float16*Float16+Float32=Float32 (256×256) · (256×256) (NN) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 12.2 μs ± 1.28% (11.9 … 12.4 μs) 3.96 μs ± 3.89% (3.81 … 4.29 μs) 32.0
FPU GEMM Float64*Float64=Float64 (2048×2048) · (2048×2048) (NT) OP (8, 16, 2), base shape (4, 8, 1) 46.6 ms ± 0.869% (46.4 … 52.8 ms) 41.0 ms ± 0.00258% (41.0 … 41.0 ms) 88.5
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (NN) OP (8, 8, 1), base shape (4, 8, 1) 15.4 μs ± 0.836% (15.0 … 15.7 μs) 4.09 μs ± 2.68% (3.81 … 4.29 μs) 25.4
WMMA GEMM Float16*Float16+Float16=Float16 (512×256) · (256×512) (NT) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 8.77 μs ± 2.05% (8.34 … 9.06 μs) 4.93 μs ± 3.22% (4.77 … 5.25 μs) 57.1
WMMA GEMM Float16*Float16+Float16=Float16 (512×512) · (512×512) (TN) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 12.4 μs ± 1.41% (12.2 … 12.6 μs) 7.38 μs ± 1.74% (7.15 … 7.87 μs) 58.8
WMMA GEMM Float16*Float16+Float32=Float32 (2048×2048) · (2048×2048) (TN) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 367.0 μs ± 4.8% (349.0 … 395.0 μs) 293.0 μs ± 0.295% (291.0 … 295.0 μs) 83.2
WMMA GEMM Float16*Float16+Float16=Float16 (512×512) · (512×512) (NN) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 12.3 μs ± 1.43% (11.9 … 12.6 μs) 7.29 μs ± 2.01% (7.15 … 7.63 μs) 60.0
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (NN) OP (4, 8, 1), base shape (4, 8, 1) 13.5 μs ± 1.07% (13.1 … 13.8 μs) 4.08 μs ± 2.66% (3.81 … 4.29 μs) 29.1
FPU GEMM Float16*Float16=Float32 (128×128) · (128×128) (NT) OP (8, 16, 2), base shape (4, 8, 1) 9.2 μs ± 1.51% (8.82 … 9.54 μs) 2.04 μs ± 5.96% (1.67 … 2.38 μs) 18.9
WMMA GEMM Float16*Float16+Float32=Float32 (256×128) · (128×256) (NN) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 9.29 μs ± 1.81% (9.06 … 9.54 μs) 2.94 μs ± 5.31% (2.62 … 3.1 μs) 28.9
WMMA GEMM Float16*Float16+Float32=Float32 (128×128) · (128×128) (NT) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 8.05 μs ± 2.06% (7.87 … 8.34 μs) 2.04 μs ± 6.49% (1.67 … 2.38 μs) 21.2
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (NT) OP (16, 16, 1), base shape (8, 4, 1) 14.6 μs ± 0.905% (14.3 … 14.8 μs) 4.19 μs ± 3.76% (4.05 … 4.53 μs) 28.3
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (TT) OP (4, 32, 1), base shape (1, 32, 1) 33.0 μs ± 0.414% (32.7 … 33.4 μs) 4.03 μs ± 3.31% (3.81 … 4.29 μs) 11.7
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (TT) OP (4, 16, 1), base shape (4, 8, 1) 15.2 μs ± 1.13% (15.0 … 15.5 μs) 4.03 μs ± 3.55% (3.81 … 4.29 μs) 25.4
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (NT) OP (32, 4, 1), base shape (16, 2, 1) 19.2 μs ± 0.801% (18.8 … 19.3 μs) 4.18 μs ± 3.66% (4.05 … 4.53 μs) 21.5
FPU GEMM Float32*Float32=Float32 (2048×2048) · (2048×2048) (NT) OP (8, 16, 2), base shape (4, 8, 1) 2.36 ms ± 3.46% (2.32 … 2.63 ms) 865.0 μs ± 1.13% (816.0 … 876.0 μs) 35.1
FPU GEMM Float64*Float64=Float64 (256×256) · (256×256) (TT) OP (8, 16, 2), base shape (4, 8, 1) 282.0 μs ± 5.73% (257.0 … 295.0 μs) 109.0 μs ± 0.161% (109.0 … 110.0 μs) 42.6
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (TT) OP (8, 8, 1), base shape (4, 8, 1) 15.3 μs ± 1.01% (15.0 … 15.5 μs) 4.03 μs ± 3.5% (3.81 … 4.53 μs) 25.4
WMMA GEMM Float16*Float16+Float16=Float16 (256×256) · (256×256) (TT) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 7.47 μs ± 1.84% (7.15 … 7.87 μs) 3.63 μs ± 2.96% (3.58 … 4.05 μs) 50.0
WMMA GEMM Float16*Float16+Float32=Float32 (128×256) · (256×128) (TT) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 12.2 μs ± 1.46% (11.9 … 12.4 μs) 2.98 μs ± 4.97% (2.62 … 3.34 μs) 22.0
FPU GEMM Float16*Float16=Float32 (128×128) · (128×128) (TT) OP (8, 16, 2), base shape (4, 8, 1) 8.17 μs ± 1.63% (7.87 … 8.34 μs) 2.17 μs ± 7.94% (1.91 … 2.38 μs) 24.2
WMMA GEMM Float16*Float16+Float16=Float16 (512×512) · (512×512) (TT) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 12.4 μs ± 1.44% (11.9 … 12.9 μs) 7.28 μs ± 2.02% (7.15 … 7.63 μs) 60.0
WMMA GEMM Float16*Float16+Float32=Float32 (256×256) · (256×256) (NT) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 12.4 μs ± 1.39% (12.2 … 12.6 μs) 3.91 μs ± 3.77% (3.58 … 4.29 μs) 29.4
FPU GEMM Float32*Float32=Float32 (256×256) · (256×256) (NN) OP (8, 16, 2), base shape (4, 8, 1) 15.3 μs ± 1.12% (15.0 … 15.5 μs) 6.77 μs ± 2.01% (6.44 … 6.91 μs) 42.9
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (NT) OP (8, 8, 1), base shape (4, 8, 1) 15.4 μs ± 1.07% (15.3 … 15.7 μs) 4.18 μs ± 3.71% (4.05 … 4.53 μs) 26.6
FPU GEMM Float64*Float64=Float64 (256×256) · (256×256) (NT) OP (8, 16, 2), base shape (4, 8, 1) 269.0 μs ± 6.22% (256.0 … 293.0 μs) 109.0 μs ± 0.158% (109.0 … 109.0 μs) 42.6
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (NT) OP (4, 16, 1), base shape (4, 8, 1) 15.3 μs ± 0.964% (15.0 … 15.7 μs) 4.19 μs ± 3.76% (4.05 … 4.53 μs) 27.0
WMMA GEMM Float16*Float16+Float32=Float32 (256×128) · (128×256) (TT) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 9.2 μs ± 1.6% (8.82 … 9.54 μs) 2.91 μs ± 5.13% (2.62 … 3.1 μs) 29.7
FPU GEMM Float16*Float16=Float32 (128×128) · (128×128) (NN) OP (8, 16, 2), base shape (4, 8, 1) 9.22 μs ± 1.31% (8.82 … 9.54 μs) 2.22 μs ± 7.27% (1.91 … 2.38 μs) 21.6
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (TN) OP (8, 8, 1), base shape (4, 8, 1) 15.2 μs ± 1.14% (15.0 … 15.5 μs) 4.28 μs ± 3.59% (4.05 … 4.77 μs) 27.0
FPU GEMM Float16*Float16=Float32 (256×256) · (256×256) (TT) OP (8, 16, 2), base shape (4, 8, 1) 15.8 μs ± 1.08% (15.5 … 16.0 μs) 3.97 μs ± 4.07% (3.58 … 4.29 μs) 23.1
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (NT) OP (16, 16, 1), base shape (4, 8, 1) 15.3 μs ± 0.926% (15.0 … 15.7 μs) 4.17 μs ± 3.62% (4.05 … 4.53 μs) 27.0
WMMA GEMM Float16*Float16+Float32=Float32 (128×256) · (256×128) (NT) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 12.4 μs ± 1.34% (12.2 … 12.6 μs) 2.74 μs ± 5.58% (2.38 … 2.86 μs) 19.6
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (NN) OP (4, 8, 2), base shape (4, 8, 1) 14.9 μs ± 1.11% (14.5 … 15.3 μs) 4.09 μs ± 2.79% (3.81 … 4.29 μs) 26.2
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (TN) OP (32, 4, 1), base shape (32, 1, 1) 31.6 μs ± 0.455% (31.5 … 31.9 μs) 4.29 μs ± 3.36% (4.05 … 4.53 μs) 12.9
WMMA GEMM Float16*Float16+Float32=Float32 (256×128) · (128×256) (NT) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 9.17 μs ± 1.66% (8.82 … 9.3 μs) 2.91 μs ± 5.19% (2.62 … 3.1 μs) 29.7
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (NT) OP (4, 32, 1), base shape (2, 16, 1) 21.9 μs ± 0.76% (21.7 … 22.2 μs) 4.19 μs ± 3.66% (4.05 … 4.53 μs) 18.7
FPU GEMM Float16*Float16=Float32 (256×256) · (256×256) (NN) OP (8, 16, 2), base shape (4, 8, 1) 15.7 μs ± 1.1% (15.5 … 16.0 μs) 3.95 μs ± 3.89% (3.81 … 4.29 μs) 24.6
FPU GEMM Float16*Float16=Float32 (2048×2048) · (2048×2048) (TN) OP (8, 16, 2), base shape (4, 8, 1) 1.54 ms ± 2.56% (1.52 … 1.67 ms) 292.0 μs ± 0.172% (290.0 … 295.0 μs) 19.1
FPU GEMM Float64*Float64=Float64 (2048×2048) · (2048×2048) (NN) OP (8, 16, 2), base shape (4, 8, 1) 46.5 ms ± 0.73% (46.3 … 52.7 ms) 41.0 ms ± 0.00326% (41.0 … 41.0 ms) 88.6
WMMA GEMM Float16*Float16+Float16=Float16 (256×512) · (512×256) (TN) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 12.1 μs ± 1.36% (11.9 … 12.4 μs) 5.09 μs ± 3.48% (4.77 … 5.72 μs) 40.0
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (NN) OP (4, 32, 1), base shape (2, 16, 1) 22.0 μs ± 0.639% (21.7 … 22.4 μs) 4.08 μs ± 2.92% (3.81 … 4.29 μs) 17.6
WMMA GEMM Float16*Float16+Float16=Float16 (256×512) · (512×256) (NT) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 12.0 μs ± 1.38% (11.7 … 12.4 μs) 4.48 μs ± 3.63% (4.29 … 4.77 μs) 36.7
FPU GEMM Float32*Float32=Float32 (256×256) · (256×256) (NT) OP (8, 16, 2), base shape (4, 8, 1) 18.2 μs ± 0.77% (17.9 … 18.6 μs) 6.76 μs ± 2.08% (6.44 … 6.91 μs) 36.0
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (NN) OP (4, 16, 1), base shape (4, 8, 1) 15.2 μs ± 1.13% (15.0 … 15.5 μs) 4.08 μs ± 2.76% (3.81 … 4.29 μs) 25.4
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (NT) OP (4, 8, 1), base shape (4, 8, 1) 15.3 μs ± 1.09% (15.0 … 15.5 μs) 4.18 μs ± 3.66% (4.05 … 4.53 μs) 27.0
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (TN) OP (4, 32, 1), base shape (1, 32, 1) 33.0 μs ± 0.474% (32.7 … 33.4 μs) 4.29 μs ± 3.53% (4.05 … 4.53 μs) 12.4
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (TN) OP (8, 16, 2), base shape (4, 8, 1) 12.1 μs ± 1.2% (11.7 … 12.4 μs) 4.3 μs ± 3.47% (4.05 … 4.53 μs) 34.7
FPU GEMM Float64*Float64=Float64 (128×128) · (128×128) (TN) OP (8, 16, 2), base shape (4, 8, 1) 140.0 μs ± 6.34% (129.0 … 152.0 μs) 30.7 μs ± 0.381% (30.3 … 31.0 μs) 23.4
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (TN) OP (16, 16, 1), base shape (4, 8, 1) 15.2 μs ± 1.13% (15.0 … 15.5 μs) 4.29 μs ± 3.5% (4.05 … 4.53 μs) 27.0
WMMA GEMM Float16*Float16+Float16=Float16 (256×256) · (256×256) (TN) Block (128, 128, 64) Warps (4, 2) OP (16, 16, 16) 7.76 μs ± 6.46% (7.15 … 9.06 μs) 3.59 μs ± 2.9% (3.1 … 4.05 μs) 43.3
FPU GEMM Float32*Float32=Float32 (128×128) · (128×128) (TN) OP (16, 16, 1), base shape (8, 4, 1) 14.5 μs ± 1.06% (14.3 … 14.8 μs) 4.3 μs ± 3.45% (4.05 … 4.53 μs) 28.3
FPU GEMM Float32*Float32=Float32 (256×256) · (256×256) (TN) OP (8, 16, 2), base shape (4, 8, 1) 12.6 μs ± 1.31% (12.4 … 12.9 μs) 7.16 μs ± 1.19% (6.68 … 7.63 μs) 53.8

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codecov bot commented Nov 15, 2023

Codecov Report

Attention: 4 lines in your changes are missing coverage. Please review.

Comparison is base (912fa05) 34.16% compared to head (8caa172) 34.16%.

Files Patch % Lines
src/layout.jl 0.00% 4 Missing ⚠️
Additional details and impacted files 
@@           Coverage Diff           @@
##           master     #175   +/-   ##
=======================================
  Coverage   34.16%   34.16%           
=======================================
  Files          11       11           
  Lines         922      922           
=======================================
  Hits          315      315           
  Misses        607      607

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@thomasfaingnaert thomasfaingnaert merged commit 8b52f30 into master Nov 15, 2023
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@thomasfaingnaert thomasfaingnaert deleted the tf/fix-alignment-check branch November 15, 2023 13:04
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@thomasfaingnaert @maleadt