add .gitignore & delete temp file

This commit is contained in:
Zhang Jinnan 2026-07-03 09:56:44 +08:00
parent 9828f90095
commit 97c91e6a48
138 changed files with 79 additions and 4805 deletions

79
.gitignore vendored Normal file
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# =========================
# macOS
# =========================
.DS_Store
.AppleDouble
.LSOverride
Icon?
._*
.Spotlight-V100
.Trashes
.fseventsd
# =========================
# IDE / Editor
# =========================
.vscode/
.idea/
*.swp
*.swo
*~
# =========================
# Python
# =========================
__pycache__/
*.py[cod]
*.pyo
*.pyd
.pytest_cache/
.mypy_cache/
.ruff_cache/
.coverage
htmlcov/
.env
.venv/
venv/
env/
# =========================
# Jupyter
# =========================
.ipynb_checkpoints/
# =========================
# Build / Packaging
# =========================
build/
dist/
*.egg-info/
.eggs/
pip-wheel-metadata/
# =========================
# C / C++ / CMake
# =========================
CMakeFiles/
CMakeCache.txt
cmake-build-*/
Makefile
*.o
*.so
*.dylib
*.dll
*.a
*.lib
# =========================
# Logs / Temp
# =========================
*.log
*.tmp
*.temp
logs/
tmp/
# =========================
# OS / Tool caches
# =========================
.cache/

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@ -1,49 +0,0 @@
batch_size,seq_len_kv,heads,headdim,time_ms,bandwidth_GB_s
1,512,8,128,0.0322,65.27
2,512,8,128,0.0324,129.61
4,512,8,128,0.0332,253.01
8,512,8,128,0.0355,472.66
16,512,8,128,0.0546,614.98
32,512,8,128,0.0817,822.60
64,512,8,128,0.1297,1035.62
128,512,8,128,0.2453,1095.50
1,1024,8,128,0.0578,72.55
2,1024,8,128,0.0586,143.14
4,1024,8,128,0.0597,281.24
8,1024,8,128,0.0625,536.80
16,1024,8,128,0.0982,683.59
32,1024,8,128,0.1493,899.64
64,1024,8,128,0.2403,1117.62
128,1024,8,128,0.4594,1169.27
1,2048,8,128,0.1101,76.24
2,2048,8,128,0.1107,151.64
4,2048,8,128,0.1119,299.88
8,2048,8,128,0.1159,578.98
16,2048,8,128,0.1849,726.23
32,2048,8,128,0.2843,944.47
64,2048,8,128,0.4607,1165.56
128,2048,8,128,0.8868,1211.07
1,4096,8,128,0.2139,78.46
2,4096,8,128,0.2151,156.01
4,4096,8,128,0.2163,310.36
8,4096,8,128,0.2227,602.81
16,4096,8,128,0.3574,751.13
32,4096,8,128,0.5540,969.23
64,4096,8,128,0.9016,1191.07
128,4096,8,128,1.7414,1233.34
1,8192,8,128,0.4215,79.61
2,8192,8,128,0.4226,158.81
4,8192,8,128,0.4242,316.39
8,8192,8,128,0.4362,615.46
16,8192,8,128,0.7035,763.14
32,8192,8,128,1.0934,982.11
64,8192,8,128,1.7814,1205.57
128,8192,8,128,3.4505,1244.82
1,16384,8,128,0.8356,80.32
2,16384,8,128,0.8377,160.23
4,16384,8,128,0.8407,319.30
8,16384,8,128,0.8625,622.51
16,16384,8,128,1.3934,770.60
32,16384,8,128,2.1695,989.88
64,16384,8,128,3.5397,1213.41
128,16384,8,128,6.8668,1250.98
1 batch_size seq_len_kv heads headdim time_ms bandwidth_GB_s
2 1 512 8 128 0.0322 65.27
3 2 512 8 128 0.0324 129.61
4 4 512 8 128 0.0332 253.01
5 8 512 8 128 0.0355 472.66
6 16 512 8 128 0.0546 614.98
7 32 512 8 128 0.0817 822.60
8 64 512 8 128 0.1297 1035.62
9 128 512 8 128 0.2453 1095.50
10 1 1024 8 128 0.0578 72.55
11 2 1024 8 128 0.0586 143.14
12 4 1024 8 128 0.0597 281.24
13 8 1024 8 128 0.0625 536.80
14 16 1024 8 128 0.0982 683.59
15 32 1024 8 128 0.1493 899.64
16 64 1024 8 128 0.2403 1117.62
17 128 1024 8 128 0.4594 1169.27
18 1 2048 8 128 0.1101 76.24
19 2 2048 8 128 0.1107 151.64
20 4 2048 8 128 0.1119 299.88
21 8 2048 8 128 0.1159 578.98
22 16 2048 8 128 0.1849 726.23
23 32 2048 8 128 0.2843 944.47
24 64 2048 8 128 0.4607 1165.56
25 128 2048 8 128 0.8868 1211.07
26 1 4096 8 128 0.2139 78.46
27 2 4096 8 128 0.2151 156.01
28 4 4096 8 128 0.2163 310.36
29 8 4096 8 128 0.2227 602.81
30 16 4096 8 128 0.3574 751.13
31 32 4096 8 128 0.5540 969.23
32 64 4096 8 128 0.9016 1191.07
33 128 4096 8 128 1.7414 1233.34
34 1 8192 8 128 0.4215 79.61
35 2 8192 8 128 0.4226 158.81
36 4 8192 8 128 0.4242 316.39
37 8 8192 8 128 0.4362 615.46
38 16 8192 8 128 0.7035 763.14
39 32 8192 8 128 1.0934 982.11
40 64 8192 8 128 1.7814 1205.57
41 128 8192 8 128 3.4505 1244.82
42 1 16384 8 128 0.8356 80.32
43 2 16384 8 128 0.8377 160.23
44 4 16384 8 128 0.8407 319.30
45 8 16384 8 128 0.8625 622.51
46 16 16384 8 128 1.3934 770.60
47 32 16384 8 128 2.1695 989.88
48 64 16384 8 128 3.5397 1213.41
49 128 16384 8 128 6.8668 1250.98

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@ -1,49 +0,0 @@
batch_size,seq_len_kv,heads,headdim,time_ms,bandwidth_GB_s
1,512,8,160,0.0580,45.25
2,512,8,160,0.0611,85.84
4,512,8,160,0.0656,159.96
8,512,8,160,0.0699,300.40
16,512,8,160,0.1321,317.92
32,512,8,160,0.2002,419.52
64,512,8,160,0.3383,496.43
128,512,8,160,0.6669,503.61
1,1024,8,160,0.1129,46.45
2,1024,8,160,0.1190,88.18
4,1024,8,160,0.1224,171.49
8,1024,8,160,0.1287,326.07
16,1024,8,160,0.2479,338.49
32,1024,8,160,0.3767,445.54
64,1024,8,160,0.6419,523.01
128,1024,8,160,1.2804,524.37
1,2048,8,160,0.2270,46.20
2,2048,8,160,0.2299,91.22
4,2048,8,160,0.2349,178.63
8,2048,8,160,0.2447,342.96
16,2048,8,160,0.4773,351.60
32,2048,8,160,0.7279,461.07
64,2048,8,160,1.2559,534.49
128,2048,8,160,2.5613,524.15
1,4096,8,160,0.4460,47.02
2,4096,8,160,0.4513,92.94
4,4096,8,160,0.4593,182.64
8,4096,8,160,0.4813,348.64
16,4096,8,160,0.9363,358.43
32,4096,8,160,1.4552,461.21
64,4096,8,160,2.5615,524.05
128,4096,8,160,5.1420,522.11
1,8192,8,160,0.8847,47.41
2,8192,8,160,0.8944,93.80
4,8192,8,160,0.9094,184.51
8,8192,8,160,0.9625,348.64
16,8192,8,160,1.8550,361.80
32,8192,8,160,2.9567,453.97
64,8192,8,160,5.1398,522.30
128,8192,8,160,10.2972,521.41
1,16384,8,160,1.7608,47.64
2,16384,8,160,1.7786,94.33
4,16384,8,160,1.8143,184.95
8,16384,8,160,1.9317,347.42
16,16384,8,160,3.7301,359.83
32,16384,8,160,5.9216,453.33
64,16384,8,160,10.2668,522.94
128,16384,8,160,20.6062,521.09
1 batch_size seq_len_kv heads headdim time_ms bandwidth_GB_s
2 1 512 8 160 0.0580 45.25
3 2 512 8 160 0.0611 85.84
4 4 512 8 160 0.0656 159.96
5 8 512 8 160 0.0699 300.40
6 16 512 8 160 0.1321 317.92
7 32 512 8 160 0.2002 419.52
8 64 512 8 160 0.3383 496.43
9 128 512 8 160 0.6669 503.61
10 1 1024 8 160 0.1129 46.45
11 2 1024 8 160 0.1190 88.18
12 4 1024 8 160 0.1224 171.49
13 8 1024 8 160 0.1287 326.07
14 16 1024 8 160 0.2479 338.49
15 32 1024 8 160 0.3767 445.54
16 64 1024 8 160 0.6419 523.01
17 128 1024 8 160 1.2804 524.37
18 1 2048 8 160 0.2270 46.20
19 2 2048 8 160 0.2299 91.22
20 4 2048 8 160 0.2349 178.63
21 8 2048 8 160 0.2447 342.96
22 16 2048 8 160 0.4773 351.60
23 32 2048 8 160 0.7279 461.07
24 64 2048 8 160 1.2559 534.49
25 128 2048 8 160 2.5613 524.15
26 1 4096 8 160 0.4460 47.02
27 2 4096 8 160 0.4513 92.94
28 4 4096 8 160 0.4593 182.64
29 8 4096 8 160 0.4813 348.64
30 16 4096 8 160 0.9363 358.43
31 32 4096 8 160 1.4552 461.21
32 64 4096 8 160 2.5615 524.05
33 128 4096 8 160 5.1420 522.11
34 1 8192 8 160 0.8847 47.41
35 2 8192 8 160 0.8944 93.80
36 4 8192 8 160 0.9094 184.51
37 8 8192 8 160 0.9625 348.64
38 16 8192 8 160 1.8550 361.80
39 32 8192 8 160 2.9567 453.97
40 64 8192 8 160 5.1398 522.30
41 128 8192 8 160 10.2972 521.41
42 1 16384 8 160 1.7608 47.64
43 2 16384 8 160 1.7786 94.33
44 4 16384 8 160 1.8143 184.95
45 8 16384 8 160 1.9317 347.42
46 16 16384 8 160 3.7301 359.83
47 32 16384 8 160 5.9216 453.33
48 64 16384 8 160 10.2668 522.94
49 128 16384 8 160 20.6062 521.09

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@ -1,49 +0,0 @@
batch_size,seq_len_kv,heads,headdim,time_ms,bandwidth_GB_s
1,512,8,192,0.0458,68.82
2,512,8,192,0.0515,122.32
4,512,8,192,0.0574,219.28
8,512,8,192,0.0607,414.80
16,512,8,192,0.1147,439.27
32,512,8,192,0.1763,571.40
64,512,8,192,0.2978,676.79
128,512,8,192,0.5874,686.11
1,1024,8,192,0.0946,66.55
2,1024,8,192,0.1033,121.85
4,1024,8,192,0.1073,234.66
8,1024,8,192,0.1131,445.23
16,1024,8,192,0.2165,465.24
32,1024,8,192,0.3347,601.80
64,1024,8,192,0.5701,706.63
128,1024,8,192,1.1302,712.88
1,2048,8,192,0.1943,64.79
2,2048,8,192,0.1992,126.38
4,2048,8,192,0.2059,244.52
8,2048,8,192,0.2174,463.13
16,2048,8,192,0.4202,479.24
32,2048,8,192,0.6503,619.36
64,2048,8,192,1.1158,721.93
128,2048,8,192,2.2250,724.05
1,4096,8,192,0.3834,65.65
2,4096,8,192,0.3904,128.95
4,4096,8,192,0.4043,249.04
8,4096,8,192,0.4267,471.92
16,4096,8,192,0.8271,486.90
32,4096,8,192,1.2840,627.28
64,4096,8,192,2.2148,727.29
128,4096,8,192,4.3819,735.21
1,8192,8,192,0.7566,66.52
2,8192,8,192,0.7712,130.54
4,8192,8,192,0.7974,252.49
8,8192,8,192,0.8433,477.47
16,8192,8,192,1.6433,490.09
32,8192,8,192,2.5573,629.84
64,8192,8,192,4.3785,735.73
128,8192,8,192,8.7303,737.99
1,16384,8,192,1.5068,66.81
2,16384,8,192,1.5350,131.16
4,16384,8,192,1.5868,253.76
8,16384,8,192,1.6778,479.99
16,16384,8,192,3.2750,491.81
32,16384,8,192,5.0659,635.88
64,16384,8,192,8.7435,736.85
128,16384,8,192,17.5040,736.13
1 batch_size seq_len_kv heads headdim time_ms bandwidth_GB_s
2 1 512 8 192 0.0458 68.82
3 2 512 8 192 0.0515 122.32
4 4 512 8 192 0.0574 219.28
5 8 512 8 192 0.0607 414.80
6 16 512 8 192 0.1147 439.27
7 32 512 8 192 0.1763 571.40
8 64 512 8 192 0.2978 676.79
9 128 512 8 192 0.5874 686.11
10 1 1024 8 192 0.0946 66.55
11 2 1024 8 192 0.1033 121.85
12 4 1024 8 192 0.1073 234.66
13 8 1024 8 192 0.1131 445.23
14 16 1024 8 192 0.2165 465.24
15 32 1024 8 192 0.3347 601.80
16 64 1024 8 192 0.5701 706.63
17 128 1024 8 192 1.1302 712.88
18 1 2048 8 192 0.1943 64.79
19 2 2048 8 192 0.1992 126.38
20 4 2048 8 192 0.2059 244.52
21 8 2048 8 192 0.2174 463.13
22 16 2048 8 192 0.4202 479.24
23 32 2048 8 192 0.6503 619.36
24 64 2048 8 192 1.1158 721.93
25 128 2048 8 192 2.2250 724.05
26 1 4096 8 192 0.3834 65.65
27 2 4096 8 192 0.3904 128.95
28 4 4096 8 192 0.4043 249.04
29 8 4096 8 192 0.4267 471.92
30 16 4096 8 192 0.8271 486.90
31 32 4096 8 192 1.2840 627.28
32 64 4096 8 192 2.2148 727.29
33 128 4096 8 192 4.3819 735.21
34 1 8192 8 192 0.7566 66.52
35 2 8192 8 192 0.7712 130.54
36 4 8192 8 192 0.7974 252.49
37 8 8192 8 192 0.8433 477.47
38 16 8192 8 192 1.6433 490.09
39 32 8192 8 192 2.5573 629.84
40 64 8192 8 192 4.3785 735.73
41 128 8192 8 192 8.7303 737.99
42 1 16384 8 192 1.5068 66.81
43 2 16384 8 192 1.5350 131.16
44 4 16384 8 192 1.5868 253.76
45 8 16384 8 192 1.6778 479.99
46 16 16384 8 192 3.2750 491.81
47 32 16384 8 192 5.0659 635.88
48 64 16384 8 192 8.7435 736.85
49 128 16384 8 192 17.5040 736.13

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@ -1,49 +0,0 @@
batch_size,seq_len_kv,heads,headdim,time_ms,bandwidth_GB_s
1,512,8,224,0.1254,29.29
2,512,8,224,0.1412,52.05
4,512,8,224,0.1497,98.13
8,512,8,224,0.1533,191.70
16,512,8,224,0.1913,307.17
32,512,8,224,0.3292,357.08
64,512,8,224,0.5187,453.28
128,512,8,224,0.9522,493.84
1,1024,8,224,0.2727,26.93
2,1024,8,224,0.2836,51.78
4,1024,8,224,0.2890,101.63
8,1024,8,224,0.2959,198.55
16,1024,8,224,0.3696,317.93
32,1024,8,224,0.6408,366.75
64,1024,8,224,1.0081,466.21
128,1024,8,224,1.8548,506.78
1,2048,8,224,0.5515,26.63
2,2048,8,224,0.5575,52.67
4,2048,8,224,0.5666,103.65
8,2048,8,224,0.5803,202.42
16,2048,8,224,0.7250,324.05
32,2048,8,224,1.2593,373.14
64,2048,8,224,1.9890,472.48
128,2048,8,224,3.6905,509.28
1,4096,8,224,1.0939,26.84
2,4096,8,224,1.1044,53.18
4,4096,8,224,1.1219,104.69
8,4096,8,224,1.1500,204.26
16,4096,8,224,1.4390,326.48
32,4096,8,224,2.4992,375.97
64,4096,8,224,4.0082,468.86
128,4096,8,224,7.3372,512.26
1,8192,8,224,2.1775,26.97
2,8192,8,224,2.1989,53.41
4,8192,8,224,2.2338,105.15
8,8192,8,224,2.3268,201.90
16,8192,8,224,2.8806,326.18
32,8192,8,224,5.0187,374.43
64,8192,8,224,8.0323,467.90
128,8192,8,224,14.6300,513.78
1,16384,8,224,4.3360,27.09
2,16384,8,224,4.3820,53.60
4,16384,8,224,4.5006,104.38
8,16384,8,224,4.6987,199.96
16,16384,8,224,5.7361,327.59
32,16384,8,224,10.1291,371.03
64,16384,8,224,16.0745,467.60
128,16384,8,224,OOM,OOM
1 batch_size seq_len_kv heads headdim time_ms bandwidth_GB_s
2 1 512 8 224 0.1254 29.29
3 2 512 8 224 0.1412 52.05
4 4 512 8 224 0.1497 98.13
5 8 512 8 224 0.1533 191.70
6 16 512 8 224 0.1913 307.17
7 32 512 8 224 0.3292 357.08
8 64 512 8 224 0.5187 453.28
9 128 512 8 224 0.9522 493.84
10 1 1024 8 224 0.2727 26.93
11 2 1024 8 224 0.2836 51.78
12 4 1024 8 224 0.2890 101.63
13 8 1024 8 224 0.2959 198.55
14 16 1024 8 224 0.3696 317.93
15 32 1024 8 224 0.6408 366.75
16 64 1024 8 224 1.0081 466.21
17 128 1024 8 224 1.8548 506.78
18 1 2048 8 224 0.5515 26.63
19 2 2048 8 224 0.5575 52.67
20 4 2048 8 224 0.5666 103.65
21 8 2048 8 224 0.5803 202.42
22 16 2048 8 224 0.7250 324.05
23 32 2048 8 224 1.2593 373.14
24 64 2048 8 224 1.9890 472.48
25 128 2048 8 224 3.6905 509.28
26 1 4096 8 224 1.0939 26.84
27 2 4096 8 224 1.1044 53.18
28 4 4096 8 224 1.1219 104.69
29 8 4096 8 224 1.1500 204.26
30 16 4096 8 224 1.4390 326.48
31 32 4096 8 224 2.4992 375.97
32 64 4096 8 224 4.0082 468.86
33 128 4096 8 224 7.3372 512.26
34 1 8192 8 224 2.1775 26.97
35 2 8192 8 224 2.1989 53.41
36 4 8192 8 224 2.2338 105.15
37 8 8192 8 224 2.3268 201.90
38 16 8192 8 224 2.8806 326.18
39 32 8192 8 224 5.0187 374.43
40 64 8192 8 224 8.0323 467.90
41 128 8192 8 224 14.6300 513.78
42 1 16384 8 224 4.3360 27.09
43 2 16384 8 224 4.3820 53.60
44 4 16384 8 224 4.5006 104.38
45 8 16384 8 224 4.6987 199.96
46 16 16384 8 224 5.7361 327.59
47 32 16384 8 224 10.1291 371.03
48 64 16384 8 224 16.0745 467.60
49 128 16384 8 224 OOM OOM

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@ -1,49 +0,0 @@
batch_size,seq_len_kv,heads,headdim,time_ms,bandwidth_GB_s
1,512,8,256,0.0877,47.89
2,512,8,256,0.0921,91.17
4,512,8,256,0.0940,178.74
8,512,8,256,0.0964,348.52
16,512,8,256,0.1450,463.27
32,512,8,256,0.2250,597.21
64,512,8,256,0.3609,744.43
128,512,8,256,0.6932,775.25
1,1024,8,256,0.1747,48.04
2,1024,8,256,0.1762,95.27
4,1024,8,256,0.1784,188.22
8,1024,8,256,0.1817,369.53
16,1024,8,256,0.2796,480.25
32,1024,8,256,0.4339,619.00
64,1024,8,256,0.6960,771.73
128,1024,8,256,1.3439,799.36
1,2048,8,256,0.3410,49.21
2,2048,8,256,0.3439,97.60
4,2048,8,256,0.3469,193.52
8,2048,8,256,0.3533,379.94
16,2048,8,256,0.5461,491.67
32,2048,8,256,0.8493,632.28
64,2048,8,256,1.3667,785.82
128,2048,8,256,2.6465,811.64
1,4096,8,256,0.6742,49.77
2,4096,8,256,0.6777,99.03
4,4096,8,256,0.6836,196.36
8,4096,8,256,0.6950,386.31
16,4096,8,256,1.0803,497.02
32,4096,8,256,1.6794,639.44
64,4096,8,256,2.7101,792.50
128,4096,8,256,5.2543,817.52
1,8192,8,256,1.3375,50.18
2,8192,8,256,1.3448,99.81
4,8192,8,256,1.3564,197.91
8,8192,8,256,1.3799,389.08
16,8192,8,256,2.1465,500.25
32,8192,8,256,3.3342,644.12
64,8192,8,256,5.3983,795.67
128,8192,8,256,10.4691,820.55
1,16384,8,256,2.6697,50.28
2,16384,8,256,2.6817,100.10
4,16384,8,256,2.7049,198.49
8,16384,8,256,2.7533,390.00
16,16384,8,256,4.2789,501.89
32,16384,8,256,6.6476,646.11
64,16384,8,256,10.7723,797.43
128,16384,8,256,OOM,OOM
1 batch_size seq_len_kv heads headdim time_ms bandwidth_GB_s
2 1 512 8 256 0.0877 47.89
3 2 512 8 256 0.0921 91.17
4 4 512 8 256 0.0940 178.74
5 8 512 8 256 0.0964 348.52
6 16 512 8 256 0.1450 463.27
7 32 512 8 256 0.2250 597.21
8 64 512 8 256 0.3609 744.43
9 128 512 8 256 0.6932 775.25
10 1 1024 8 256 0.1747 48.04
11 2 1024 8 256 0.1762 95.27
12 4 1024 8 256 0.1784 188.22
13 8 1024 8 256 0.1817 369.53
14 16 1024 8 256 0.2796 480.25
15 32 1024 8 256 0.4339 619.00
16 64 1024 8 256 0.6960 771.73
17 128 1024 8 256 1.3439 799.36
18 1 2048 8 256 0.3410 49.21
19 2 2048 8 256 0.3439 97.60
20 4 2048 8 256 0.3469 193.52
21 8 2048 8 256 0.3533 379.94
22 16 2048 8 256 0.5461 491.67
23 32 2048 8 256 0.8493 632.28
24 64 2048 8 256 1.3667 785.82
25 128 2048 8 256 2.6465 811.64
26 1 4096 8 256 0.6742 49.77
27 2 4096 8 256 0.6777 99.03
28 4 4096 8 256 0.6836 196.36
29 8 4096 8 256 0.6950 386.31
30 16 4096 8 256 1.0803 497.02
31 32 4096 8 256 1.6794 639.44
32 64 4096 8 256 2.7101 792.50
33 128 4096 8 256 5.2543 817.52
34 1 8192 8 256 1.3375 50.18
35 2 8192 8 256 1.3448 99.81
36 4 8192 8 256 1.3564 197.91
37 8 8192 8 256 1.3799 389.08
38 16 8192 8 256 2.1465 500.25
39 32 8192 8 256 3.3342 644.12
40 64 8192 8 256 5.3983 795.67
41 128 8192 8 256 10.4691 820.55
42 1 16384 8 256 2.6697 50.28
43 2 16384 8 256 2.6817 100.10
44 4 16384 8 256 2.7049 198.49
45 8 16384 8 256 2.7533 390.00
46 16 16384 8 256 4.2789 501.89
47 32 16384 8 256 6.6476 646.11
48 64 16384 8 256 10.7723 797.43
49 128 16384 8 256 OOM OOM

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@ -1,49 +0,0 @@
batch_size,seq_len_kv,heads,headdim,time_ms,bandwidth_GB_s
1,512,8,32,0.0257,20.45
2,512,8,32,0.0256,41.02
4,512,8,32,0.0258,81.28
8,512,8,32,0.0265,158.45
16,512,8,32,0.0396,212.30
32,512,8,32,0.0516,325.43
64,512,8,32,0.0721,465.83
128,512,8,32,0.1270,529.03
1,1024,8,32,0.0461,22.75
2,1024,8,32,0.0465,45.15
4,1024,8,32,0.0477,88.04
8,1024,8,32,0.0548,153.23
16,1024,8,32,0.0734,228.71
32,1024,8,32,0.0958,350.42
64,1024,8,32,0.1334,503.15
128,1024,8,32,0.2381,564.04
1,2048,8,32,0.0872,24.06
2,2048,8,32,0.0904,46.42
4,2048,8,32,0.1028,81.59
8,2048,8,32,0.1067,157.25
16,2048,8,32,0.1428,235.10
32,2048,8,32,0.1818,369.13
64,2048,8,32,0.2554,525.57
128,2048,8,32,0.4622,580.86
1,4096,8,32,0.1730,24.25
2,4096,8,32,0.1955,42.91
4,4096,8,32,0.2020,83.05
8,4096,8,32,0.2140,156.83
16,4096,8,32,0.2777,241.65
32,4096,8,32,0.3542,378.99
64,4096,8,32,0.4990,538.05
128,4096,8,32,0.9099,590.13
1,8192,8,32,0.3820,21.96
2,8192,8,32,0.3913,42.88
4,8192,8,32,0.4127,81.31
8,8192,8,32,0.4224,158.88
16,8192,8,32,0.5490,244.51
32,8192,8,32,0.6960,385.70
64,8192,8,32,0.9870,543.98
128,8192,8,32,1.8100,593.25
1,16384,8,32,0.7655,21.92
2,16384,8,32,0.8067,41.59
4,16384,8,32,0.8228,81.56
8,16384,8,32,0.8397,159.85
16,16384,8,32,1.0910,246.04
32,16384,8,32,1.3824,388.37
64,16384,8,32,1.9663,546.08
128,16384,8,32,3.6107,594.78
1 batch_size seq_len_kv heads headdim time_ms bandwidth_GB_s
2 1 512 8 32 0.0257 20.45
3 2 512 8 32 0.0256 41.02
4 4 512 8 32 0.0258 81.28
5 8 512 8 32 0.0265 158.45
6 16 512 8 32 0.0396 212.30
7 32 512 8 32 0.0516 325.43
8 64 512 8 32 0.0721 465.83
9 128 512 8 32 0.1270 529.03
10 1 1024 8 32 0.0461 22.75
11 2 1024 8 32 0.0465 45.15
12 4 1024 8 32 0.0477 88.04
13 8 1024 8 32 0.0548 153.23
14 16 1024 8 32 0.0734 228.71
15 32 1024 8 32 0.0958 350.42
16 64 1024 8 32 0.1334 503.15
17 128 1024 8 32 0.2381 564.04
18 1 2048 8 32 0.0872 24.06
19 2 2048 8 32 0.0904 46.42
20 4 2048 8 32 0.1028 81.59
21 8 2048 8 32 0.1067 157.25
22 16 2048 8 32 0.1428 235.10
23 32 2048 8 32 0.1818 369.13
24 64 2048 8 32 0.2554 525.57
25 128 2048 8 32 0.4622 580.86
26 1 4096 8 32 0.1730 24.25
27 2 4096 8 32 0.1955 42.91
28 4 4096 8 32 0.2020 83.05
29 8 4096 8 32 0.2140 156.83
30 16 4096 8 32 0.2777 241.65
31 32 4096 8 32 0.3542 378.99
32 64 4096 8 32 0.4990 538.05
33 128 4096 8 32 0.9099 590.13
34 1 8192 8 32 0.3820 21.96
35 2 8192 8 32 0.3913 42.88
36 4 8192 8 32 0.4127 81.31
37 8 8192 8 32 0.4224 158.88
38 16 8192 8 32 0.5490 244.51
39 32 8192 8 32 0.6960 385.70
40 64 8192 8 32 0.9870 543.98
41 128 8192 8 32 1.8100 593.25
42 1 16384 8 32 0.7655 21.92
43 2 16384 8 32 0.8067 41.59
44 4 16384 8 32 0.8228 81.56
45 8 16384 8 32 0.8397 159.85
46 16 16384 8 32 1.0910 246.04
47 32 16384 8 32 1.3824 388.37
48 64 16384 8 32 1.9663 546.08
49 128 16384 8 32 3.6107 594.78

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@ -1,49 +0,0 @@
batch_size,seq_len_kv,heads,headdim,time_ms,bandwidth_GB_s
1,512,8,512,0.3588,23.40
2,512,8,512,0.3651,46.00
4,512,8,512,0.3736,89.89
8,512,8,512,0.3856,174.22
16,512,8,512,0.7472,179.80
32,512,8,512,1.1447,234.72
64,512,8,512,1.9549,274.89
128,512,8,512,3.8962,275.85
1,1024,8,512,0.7261,23.12
2,1024,8,512,0.7354,45.65
4,1024,8,512,0.7496,89.57
8,1024,8,512,0.7746,173.35
16,1024,8,512,1.5049,178.46
32,1024,8,512,2.3111,232.42
64,1024,8,512,3.9538,271.70
128,1024,8,512,7.8811,272.62
1,2048,8,512,1.4636,22.93
2,2048,8,512,1.4826,45.27
4,2048,8,512,1.5109,88.86
8,2048,8,512,1.5549,172.68
16,2048,8,512,3.0237,177.60
32,2048,8,512,4.6439,231.27
64,2048,8,512,7.9560,269.99
128,2048,8,512,15.8741,270.63
1,4096,8,512,2.9312,22.90
2,4096,8,512,2.9675,45.24
4,4096,8,512,3.0243,88.77
8,4096,8,512,3.1127,172.50
16,4096,8,512,6.0753,176.76
32,4096,8,512,9.3182,230.49
64,4096,8,512,15.9642,269.07
128,4096,8,512,31.8313,269.89
1,8192,8,512,5.8843,22.81
2,8192,8,512,5.9344,45.24
4,8192,8,512,6.0465,88.80
8,8192,8,512,6.2334,172.27
16,8192,8,512,12.1594,176.62
32,8192,8,512,18.6826,229.90
64,8192,8,512,32.0055,268.41
128,8192,8,512,OOM,OOM
1,16384,8,512,11.8153,22.72
2,16384,8,512,11.9237,45.03
4,16384,8,512,12.1671,88.25
8,16384,8,512,12.4948,171.88
16,16384,8,512,24.3414,176.45
32,16384,8,512,37.3907,229.74
64,16384,8,512,OOM,OOM
128,16384,8,512,OOM,OOM
1 batch_size seq_len_kv heads headdim time_ms bandwidth_GB_s
2 1 512 8 512 0.3588 23.40
3 2 512 8 512 0.3651 46.00
4 4 512 8 512 0.3736 89.89
5 8 512 8 512 0.3856 174.22
6 16 512 8 512 0.7472 179.80
7 32 512 8 512 1.1447 234.72
8 64 512 8 512 1.9549 274.89
9 128 512 8 512 3.8962 275.85
10 1 1024 8 512 0.7261 23.12
11 2 1024 8 512 0.7354 45.65
12 4 1024 8 512 0.7496 89.57
13 8 1024 8 512 0.7746 173.35
14 16 1024 8 512 1.5049 178.46
15 32 1024 8 512 2.3111 232.42
16 64 1024 8 512 3.9538 271.70
17 128 1024 8 512 7.8811 272.62
18 1 2048 8 512 1.4636 22.93
19 2 2048 8 512 1.4826 45.27
20 4 2048 8 512 1.5109 88.86
21 8 2048 8 512 1.5549 172.68
22 16 2048 8 512 3.0237 177.60
23 32 2048 8 512 4.6439 231.27
24 64 2048 8 512 7.9560 269.99
25 128 2048 8 512 15.8741 270.63
26 1 4096 8 512 2.9312 22.90
27 2 4096 8 512 2.9675 45.24
28 4 4096 8 512 3.0243 88.77
29 8 4096 8 512 3.1127 172.50
30 16 4096 8 512 6.0753 176.76
31 32 4096 8 512 9.3182 230.49
32 64 4096 8 512 15.9642 269.07
33 128 4096 8 512 31.8313 269.89
34 1 8192 8 512 5.8843 22.81
35 2 8192 8 512 5.9344 45.24
36 4 8192 8 512 6.0465 88.80
37 8 8192 8 512 6.2334 172.27
38 16 8192 8 512 12.1594 176.62
39 32 8192 8 512 18.6826 229.90
40 64 8192 8 512 32.0055 268.41
41 128 8192 8 512 OOM OOM
42 1 16384 8 512 11.8153 22.72
43 2 16384 8 512 11.9237 45.03
44 4 16384 8 512 12.1671 88.25
45 8 16384 8 512 12.4948 171.88
46 16 16384 8 512 24.3414 176.45
47 32 16384 8 512 37.3907 229.74
48 64 16384 8 512 OOM OOM
49 128 16384 8 512 OOM OOM

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@ -1,49 +0,0 @@
batch_size,seq_len_kv,heads,headdim,time_ms,bandwidth_GB_s
1,512,8,64,0.0404,25.99
2,512,8,64,0.0399,52.60
4,512,8,64,0.0413,101.69
8,512,8,64,0.0482,174.25
16,512,8,64,0.0540,310.86
32,512,8,64,0.0629,533.75
64,512,8,64,0.0833,806.14
128,512,8,64,0.1104,1216.59
1,1024,8,64,0.0747,28.08
2,1024,8,64,0.0766,54.77
4,1024,8,64,0.0891,94.17
8,1024,8,64,0.0918,182.94
16,1024,8,64,0.1044,321.41
32,1024,8,64,0.1179,569.43
64,1024,8,64,0.1566,857.28
128,1024,8,64,0.2078,1292.17
1,2048,8,64,0.1455,28.84
2,2048,8,64,0.1684,49.82
4,2048,8,64,0.1730,97.01
8,2048,8,64,0.1850,181.39
16,2048,8,64,0.2009,334.18
32,2048,8,64,0.2268,592.01
64,2048,8,64,0.3002,894.44
128,2048,8,64,0.4027,1333.64
1,4096,8,64,0.3265,25.69
2,4096,8,64,0.3322,50.51
4,4096,8,64,0.3522,95.27
8,4096,8,64,0.3632,184.79
16,4096,8,64,0.3942,340.56
32,4096,8,64,0.4456,602.47
64,4096,8,64,0.5927,905.94
128,4096,8,64,0.7938,1352.87
1,8192,8,64,0.6508,25.78
2,8192,8,64,0.6879,48.78
4,8192,8,64,0.7008,95.77
8,8192,8,64,0.7199,186.44
16,8192,8,64,0.7786,344.79
32,8192,8,64,0.8798,610.25
64,8192,8,64,1.1745,914.30
128,8192,8,64,1.5728,1365.50
1,16384,8,64,1.3524,24.81
2,16384,8,64,1.3698,48.99
4,16384,8,64,1.3923,96.40
8,16384,8,64,1.4267,188.16
16,16384,8,64,1.5451,347.47
32,16384,8,64,1.7622,609.32
64,16384,8,64,2.3392,918.09
128,16384,8,64,3.1332,1370.84
1 batch_size seq_len_kv heads headdim time_ms bandwidth_GB_s
2 1 512 8 64 0.0404 25.99
3 2 512 8 64 0.0399 52.60
4 4 512 8 64 0.0413 101.69
5 8 512 8 64 0.0482 174.25
6 16 512 8 64 0.0540 310.86
7 32 512 8 64 0.0629 533.75
8 64 512 8 64 0.0833 806.14
9 128 512 8 64 0.1104 1216.59
10 1 1024 8 64 0.0747 28.08
11 2 1024 8 64 0.0766 54.77
12 4 1024 8 64 0.0891 94.17
13 8 1024 8 64 0.0918 182.94
14 16 1024 8 64 0.1044 321.41
15 32 1024 8 64 0.1179 569.43
16 64 1024 8 64 0.1566 857.28
17 128 1024 8 64 0.2078 1292.17
18 1 2048 8 64 0.1455 28.84
19 2 2048 8 64 0.1684 49.82
20 4 2048 8 64 0.1730 97.01
21 8 2048 8 64 0.1850 181.39
22 16 2048 8 64 0.2009 334.18
23 32 2048 8 64 0.2268 592.01
24 64 2048 8 64 0.3002 894.44
25 128 2048 8 64 0.4027 1333.64
26 1 4096 8 64 0.3265 25.69
27 2 4096 8 64 0.3322 50.51
28 4 4096 8 64 0.3522 95.27
29 8 4096 8 64 0.3632 184.79
30 16 4096 8 64 0.3942 340.56
31 32 4096 8 64 0.4456 602.47
32 64 4096 8 64 0.5927 905.94
33 128 4096 8 64 0.7938 1352.87
34 1 8192 8 64 0.6508 25.78
35 2 8192 8 64 0.6879 48.78
36 4 8192 8 64 0.7008 95.77
37 8 8192 8 64 0.7199 186.44
38 16 8192 8 64 0.7786 344.79
39 32 8192 8 64 0.8798 610.25
40 64 8192 8 64 1.1745 914.30
41 128 8192 8 64 1.5728 1365.50
42 1 16384 8 64 1.3524 24.81
43 2 16384 8 64 1.3698 48.99
44 4 16384 8 64 1.3923 96.40
45 8 16384 8 64 1.4267 188.16
46 16 16384 8 64 1.5451 347.47
47 32 16384 8 64 1.7622 609.32
48 64 16384 8 64 2.3392 918.09
49 128 16384 8 64 3.1332 1370.84

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@ -1,49 +0,0 @@
batch_size,seq_len_kv,heads,headdim,time_ms,bandwidth_GB_s
1,512,8,96,0.0407,38.67
2,512,8,96,0.0398,79.02
4,512,8,96,0.0431,146.08
8,512,8,96,0.0495,254.61
16,512,8,96,0.0698,360.64
32,512,8,96,0.1117,450.87
64,512,8,96,0.1780,566.16
128,512,8,96,0.3329,605.28
1,1024,8,96,0.0732,43.01
2,1024,8,96,0.0794,79.29
4,1024,8,96,0.0871,144.54
8,1024,8,96,0.0934,269.52
16,1024,8,96,0.1297,388.14
32,1024,8,96,0.2114,476.36
64,1024,8,96,0.3379,596.08
128,1024,8,96,0.6327,636.68
1,2048,8,96,0.1505,41.80
2,2048,8,96,0.1619,77.76
4,2048,8,96,0.1713,146.94
8,2048,8,96,0.1780,282.84
16,2048,8,96,0.2492,404.09
32,2048,8,96,0.4088,492.55
64,2048,8,96,0.6575,612.55
128,2048,8,96,1.2457,646.61
1,4096,8,96,0.3099,40.61
2,4096,8,96,0.3259,77.23
4,4096,8,96,0.3346,150.42
8,4096,8,96,0.3467,290.41
16,4096,8,96,0.4888,411.94
32,4096,8,96,0.8055,499.94
64,4096,8,96,1.3209,609.72
128,4096,8,96,2.4810,649.25
1,8192,8,96,0.6343,39.68
2,8192,8,96,0.6437,78.20
4,8192,8,96,0.6601,152.50
8,8192,8,96,0.6826,294.97
16,8192,8,96,0.9688,415.64
32,8192,8,96,1.6057,501.55
64,8192,8,96,2.6527,607.19
128,8192,8,96,4.9464,651.27
1,16384,8,96,1.2581,40.01
2,16384,8,96,1.2812,78.57
4,16384,8,96,1.3112,153.55
8,16384,8,96,1.3653,294.92
16,16384,8,96,1.9351,416.16
32,16384,8,96,3.2277,499.01
64,16384,8,96,5.3192,605.60
128,16384,8,96,9.8747,652.44
1 batch_size seq_len_kv heads headdim time_ms bandwidth_GB_s
2 1 512 8 96 0.0407 38.67
3 2 512 8 96 0.0398 79.02
4 4 512 8 96 0.0431 146.08
5 8 512 8 96 0.0495 254.61
6 16 512 8 96 0.0698 360.64
7 32 512 8 96 0.1117 450.87
8 64 512 8 96 0.1780 566.16
9 128 512 8 96 0.3329 605.28
10 1 1024 8 96 0.0732 43.01
11 2 1024 8 96 0.0794 79.29
12 4 1024 8 96 0.0871 144.54
13 8 1024 8 96 0.0934 269.52
14 16 1024 8 96 0.1297 388.14
15 32 1024 8 96 0.2114 476.36
16 64 1024 8 96 0.3379 596.08
17 128 1024 8 96 0.6327 636.68
18 1 2048 8 96 0.1505 41.80
19 2 2048 8 96 0.1619 77.76
20 4 2048 8 96 0.1713 146.94
21 8 2048 8 96 0.1780 282.84
22 16 2048 8 96 0.2492 404.09
23 32 2048 8 96 0.4088 492.55
24 64 2048 8 96 0.6575 612.55
25 128 2048 8 96 1.2457 646.61
26 1 4096 8 96 0.3099 40.61
27 2 4096 8 96 0.3259 77.23
28 4 4096 8 96 0.3346 150.42
29 8 4096 8 96 0.3467 290.41
30 16 4096 8 96 0.4888 411.94
31 32 4096 8 96 0.8055 499.94
32 64 4096 8 96 1.3209 609.72
33 128 4096 8 96 2.4810 649.25
34 1 8192 8 96 0.6343 39.68
35 2 8192 8 96 0.6437 78.20
36 4 8192 8 96 0.6601 152.50
37 8 8192 8 96 0.6826 294.97
38 16 8192 8 96 0.9688 415.64
39 32 8192 8 96 1.6057 501.55
40 64 8192 8 96 2.6527 607.19
41 128 8192 8 96 4.9464 651.27
42 1 16384 8 96 1.2581 40.01
43 2 16384 8 96 1.2812 78.57
44 4 16384 8 96 1.3112 153.55
45 8 16384 8 96 1.3653 294.92
46 16 16384 8 96 1.9351 416.16
47 32 16384 8 96 3.2277 499.01
48 64 16384 8 96 5.3192 605.60
49 128 16384 8 96 9.8747 652.44

View File

@ -1,16 +0,0 @@
{
"id": 201,
"displayId": 10008,
"type": "Traditional",
"isPublic": false,
"locales": [
"zh_CN"
],
"samples": [
{
"inputData": "1\n",
"outputData": ""
}
],
"problemTagIds": []
}

View File

@ -1,207 +0,0 @@
#!/usr/bin/env python3
# -*- coding: utf-8 -*-
"""
SPJ: problem_10008 Paged KV Cache (flash-attn)
"""
import base64
import hashlib
import json
import math
import sys
from pathlib import Path
from typing import Callable, List, Optional, Tuple
CHAL_PREFIX = "OJCHAL v1 "
RESULT_PREFIX = "OJRESULT v1 "
def eprint(msg: str) -> None:
print(msg, file=sys.stderr, flush=True)
def read_text(path: Path) -> str:
try:
return path.read_text(encoding="utf-8", errors="replace")
except Exception as ex:
raise RuntimeError(f"Failed to read {path}: {ex}") from ex
def parse_nonce_from_text(text: str) -> Optional[bytes]:
for line in text.splitlines():
line = line.strip()
if line.startswith(CHAL_PREFIX):
parts = line.split()
if len(parts) != 3:
return None
try:
return base64.b64decode(parts[2], validate=True)
except Exception:
return None
return None
def parse_results_from_text(text: str) -> List[Tuple[str, str]]:
out = []
for line in text.splitlines():
line = line.strip()
if line.startswith(RESULT_PREFIX):
parts = line.split()
if len(parts) < 4:
continue
sig_hex = parts[2]
payload_b64 = parts[3]
out.append((sig_hex, payload_b64))
return out
def verify_and_decode_payload(nonce: bytes, sig_hex: str, payload_b64: str) -> Optional[dict]:
try:
payload = base64.b64decode(payload_b64, validate=True)
except Exception:
return None
sig_calc = hashlib.sha256(nonce + payload).hexdigest()
if sig_calc.lower() != sig_hex.lower():
return None
try:
obj = json.loads(payload.decode("utf-8"))
except Exception:
return None
if not isinstance(obj, dict):
return None
return obj
def _read_testcase_id() -> Optional[int]:
try:
text = Path("input").read_text(encoding="utf-8").strip()
return int(text.split()[0])
except Exception:
return None
def _format_diagnostic(payload: dict, describe_fn: Optional[Callable[[int], str]] = None) -> List[str]:
tk = payload.get("tk_time_ms")
tb = payload.get("tb_time_ms")
th = payload.get("th_time_ms")
score = payload.get("score_ratio")
passed = payload.get("pass", False)
lines: List[str] = []
lines.append("-" * 64)
tc_id = _read_testcase_id()
if tc_id is not None:
lines.append(f" Testcase #{tc_id}")
if describe_fn:
desc = describe_fn(tc_id)
if desc:
lines.append(f" Config: {desc}")
else:
lines.append(" Testcase <?> (no 'input' file)")
lines.append("")
if tk is not None and tb is not None:
speedup = tb / tk if tk > 0 else float("inf")
lines.append(f" Baseline: {tb:<12.6f} ms")
lines.append(f" User kernel: {tk:<12.6f} ms")
if th is not None:
lines.append(f" Hardware bound: {th:<12.6f} ms")
lines.append(f" Speedup vs base: {speedup:<12.3f}x")
else:
lines.append(" (timing data unavailable)")
lines.append("")
if score is not None:
pct = float(score) * 100.0
raw_display = int(pct)
final_display = raw_display
if raw_display > 150:
final_display = int(150 + 10 * math.log10(raw_display / 150))
lines.append(f" Score ratio: {score:<12.6f} ({pct:.2f}%)")
lines.append(f" Display score: {final_display:<12d} / 100")
else:
lines.append(" Score: (unavailable)")
lines.append(f" Pass: {'OK' if passed else 'FAIL'}")
lines.append("-" * 64)
return lines
def run_spj(testcases: list, describe_fn: Optional[Callable[[int], str]] = None, problem_name: str = "") -> int:
cwd = Path(".")
user_out_path = cwd / "user_out"
try:
user_text = read_text(user_out_path)
except Exception as ex:
eprint(str(ex))
print("0", flush=True)
return 0
nonce_ans = parse_nonce_from_text(user_text)
if nonce_ans is None:
eprint("SPJ FAIL: cannot find/parse nonce from user_out (expected 'OJCHAL v1 <b64>').")
print("0", flush=True)
return 0
results = parse_results_from_text(user_text)
if not results:
eprint("SPJ FAIL: no OJRESULT line found in user_out.")
print("0", flush=True)
return 0
payload_obj = None
for sig_hex, payload_b64 in reversed(results):
obj = verify_and_decode_payload(nonce_ans, sig_hex, payload_b64)
if obj is not None:
payload_obj = obj
break
if payload_obj is None:
eprint("SPJ FAIL: no OJRESULT line passes signature verification.")
print("0", flush=True)
return 0
ok = bool(payload_obj.get("pass", False))
tk_time_ms = payload_obj.get("tk_time_ms", None)
score_ratio = payload_obj.get("score_ratio", None)
if not isinstance(tk_time_ms, (int, float)):
eprint("SPJ FAIL: payload missing/invalid 'tk_time_ms'.")
print("0", flush=True)
return 0
if not isinstance(score_ratio, (int, float)) or not (0.0 <= score_ratio):
eprint("SPJ FAIL: payload missing/invalid 'score_ratio'.")
print("0", flush=True)
return 0
time_us = float(tk_time_ms) * 1000.0
if not ok:
eprint("SPJ FAIL: payload pass=false.")
print("0", flush=True)
return 0
displayScore = int(score_ratio * 100)
if displayScore > 150:
displayScore = int(150 + 10 * math.log10(displayScore / 150))
extraInfo = {"rewriteTimeUs": time_us, "displayScore": displayScore}
print(f"{100} {json.dumps(extraInfo)}", flush=True)
header = f"=== SPJ Report{' - ' + problem_name if problem_name else ''} ==="
eprint(header)
for line in _format_diagnostic(payload_obj, describe_fn=describe_fn):
eprint(line)
return 0
HEAD_DIMS = [128]
BATCH_SIZES = [1, 4, 16]
SEQ_LENS_KV = [1024, 4096, 8192, 16384]
SEQ_LEN_Q = 1
NUM_HEADS = 8
NUM_HEADS_K = 8
PAGE_BLOCK_SIZE = 16
CAUSAL = 0
TESTCASES = []
for headdim in HEAD_DIMS:
for seqlen_k in SEQ_LENS_KV:
for batch_size in BATCH_SIZES:
TESTCASES.append((batch_size, seqlen_k, SEQ_LEN_Q, NUM_HEADS, NUM_HEADS_K, headdim, PAGE_BLOCK_SIZE, CAUSAL))
def describe(tc_id: int) -> str:
if tc_id < 1 or tc_id > len(TESTCASES):
return f"testcase #{tc_id}"
b, slk, slq, nh, nhk, hd, pbs, c = TESTCASES[tc_id - 1]
return f"batch={b}, seqlen_k={slk}, seqlen_q={slq}, heads={nh}, kv_heads={nhk}, headdim={hd}, page_size={pbs}, causal={c}"
if __name__ == "__main__":
sys.exit(run_spj(TESTCASES, describe_fn=describe, problem_name="Paged KV Cache (flash-attn)"))

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@ -1,350 +0,0 @@
from __future__ import annotations
HEAD_DIMS = [128]
BATCH_SIZES = [1, 4, 16]
SEQ_LENS_KV = [1024, 4096, 8192, 16384]
SEQ_LEN_Q = 1
NUM_HEADS = 8
NUM_HEADS_K = 8
PAGE_BLOCK_SIZE = 16
CAUSAL = 0
def _build_cases():
cases = []
for headdim in HEAD_DIMS:
for seqlen_k in SEQ_LENS_KV:
for batch_size in BATCH_SIZES:
cases.append(
(
batch_size,
seqlen_k,
SEQ_LEN_Q,
NUM_HEADS,
NUM_HEADS_K,
headdim,
PAGE_BLOCK_SIZE,
CAUSAL,
)
)
return cases
TESTCASES = _build_cases()
def getNumOfTestcases() -> int:
return len(TESTCASES)
try:
from pathlib import Path
from typing import List, Tuple, Union
import math
import sys
import torch
KernelArg = Union[torch.Tensor, int, float]
CURRENT_CASE = None
def _ensure_flashattn_importable():
try:
from flash_attn.flash_attn_interface import flash_attn_with_kvcache # noqa: F401
return
except ImportError:
pass
here = Path(__file__).resolve()
for parent in here.parents:
candidate = parent / "flashattn"
if (candidate / "flash_attn").is_dir():
sys.path.insert(0, str(candidate))
return
def _get_testcase_index() -> int:
try:
raw = input().strip()
except EOFError:
return 0
if raw == "":
return 0
try:
testcase_id = int(raw.split()[0])
except ValueError:
return 0
if 1 <= testcase_id <= len(TESTCASES):
return testcase_id - 1
if 0 <= testcase_id < len(TESTCASES):
return testcase_id
return 0
def _compute_reps(batch_size: int, seq_len: int, head_dim: int, base_reps: int = 100) -> int:
workload = batch_size * seq_len * head_dim
if workload < 1e5:
return base_reps
if workload < 1e6:
return base_reps // 2
if workload < 1e7:
return base_reps // 4
if workload < 1e8:
return base_reps // 8
if workload < 1e9:
return base_reps // 16
return base_reps // 32
def _get_num_blocks(batch_size: int, seqlen_k: int, page_block_size: int) -> int:
num_blocks = math.ceil(seqlen_k / page_block_size) * batch_size * 3
return max(1024, num_blocks)
def getTestCaseSize() -> Tuple[List[Tuple[int, ...]], Tuple[int, int]]:
testcase_id = _get_testcase_index()
global CURRENT_CASE
(
batch_size,
seqlen_k,
seqlen_q,
num_heads,
num_heads_k,
headdim,
page_block_size,
causal,
) = TESTCASES[testcase_id]
num_blocks = _get_num_blocks(batch_size, seqlen_k, page_block_size)
blocks_per_batch = num_blocks // batch_size
CURRENT_CASE = (
batch_size,
seqlen_k,
seqlen_q,
num_heads,
num_heads_k,
headdim,
page_block_size,
num_blocks,
causal,
20260720 + testcase_id,
)
warmup = 3
iters = max(1, _compute_reps(batch_size, seqlen_k, headdim))
return [
(batch_size, seqlen_q, num_heads, headdim),
(num_blocks, page_block_size, num_heads_k, headdim),
(num_blocks, page_block_size, num_heads_k, headdim),
(batch_size, seqlen_q, num_heads, headdim),
(batch_size,),
(batch_size, blocks_per_batch),
(), (), (), (), (), (), (), (), (),
], (warmup, iters)
def genTestCase(testcase_sizes, device: str = "cuda") -> List[KernelArg]:
del testcase_sizes
(
batch_size,
seqlen_k,
seqlen_q,
num_heads,
num_heads_k,
headdim,
page_block_size,
num_blocks,
causal,
seed,
) = CURRENT_CASE
gen = torch.Generator(device=device)
gen.manual_seed(seed)
dtype = torch.bfloat16
blocks_per_batch = num_blocks // batch_size
q = torch.randn(
batch_size,
seqlen_q,
num_heads,
headdim,
dtype=dtype,
device=device,
generator=gen,
).contiguous()
k_cache_paged = torch.randn(
num_blocks,
page_block_size,
num_heads_k,
headdim,
dtype=dtype,
device=device,
generator=gen,
).contiguous()
v_cache_paged = torch.randn(
num_blocks,
page_block_size,
num_heads_k,
headdim,
dtype=dtype,
device=device,
generator=gen,
).contiguous()
output = torch.empty(
batch_size,
seqlen_q,
num_heads,
headdim,
dtype=dtype,
device=device,
)
cache_seqlens = torch.full((batch_size,), seqlen_k, dtype=torch.int32, device=device)
block_table = torch.randperm(num_blocks, dtype=torch.int32, device=device, generator=gen).reshape(
batch_size,
blocks_per_batch,
)
return [
q,
k_cache_paged,
v_cache_paged,
output,
cache_seqlens,
block_table,
batch_size,
seqlen_k,
seqlen_q,
num_heads,
num_heads_k,
headdim,
page_block_size,
num_blocks,
causal,
]
def baseline(
q,
k_cache_paged,
v_cache_paged,
output,
cache_seqlens,
block_table,
batch_size,
seqlen_k,
seqlen_q,
num_heads,
num_heads_k,
headdim,
page_block_size,
num_blocks,
causal,
):
_ensure_flashattn_importable()
from flash_attn.flash_attn_interface import flash_attn_with_kvcache
out = flash_attn_with_kvcache(
q,
k_cache_paged,
v_cache_paged,
None,
None,
cache_seqlens=cache_seqlens,
cache_batch_idx=None,
block_table=block_table,
causal=bool(causal),
window_size=(-1, -1),
rotary_interleaved=False,
alibi_slopes=None,
num_splits=1,
)
output.copy_(out)
return [
q,
k_cache_paged,
v_cache_paged,
output,
cache_seqlens,
block_table,
batch_size,
seqlen_k,
seqlen_q,
num_heads,
num_heads_k,
headdim,
page_block_size,
num_blocks,
causal,
]
def check(
testcase_sizes,
original_input_tensors,
target_kernel_input_tensors,
baseline_input_tensors,
rtol=1e-2,
atol=1e-2,
) -> bool:
del testcase_sizes, original_input_tensors
output_t = target_kernel_input_tensors[3]
output_ref = baseline_input_tensors[3]
if output_t.shape != output_ref.shape:
print(f"[FAIL] shape mismatch: target {output_t.shape}, ref {output_ref.shape}", file=sys.stderr)
return False
if output_t.dtype != output_ref.dtype:
print(f"[FAIL] dtype mismatch: target {output_t.dtype}, ref {output_ref.dtype}", file=sys.stderr)
return False
if not torch.allclose(output_t.float(), output_ref.float(), rtol=rtol, atol=atol):
diff = (output_t.float() - output_ref.float()).abs()
print(
f"[FAIL] allclose failed: max_abs_diff={float(diff.max().item()):.6f}, "
f"mean_abs_diff={float(diff.mean().item()):.6f} (rtol={rtol}, atol={atol})",
file=sys.stderr,
)
return False
return True
except Exception:
pass
INPUT_CLASS = [
"INPUT", # q
"INPUT", # k_cache_paged
"INPUT", # v_cache_paged
"OUTPUT", # output
"INPUT", # cache_seqlens
"INPUT", # block_table
"INPUT", # batch_size
"INPUT", # seqlen_k
"INPUT", # seqlen_q
"INPUT", # num_heads
"INPUT", # num_heads_k
"INPUT", # headdim
"INPUT", # page_block_size
"INPUT", # num_blocks
"INPUT", # causal
]
def getWorkload(testcase_sizes) -> dict:
raw_sizes = testcase_sizes[0] if isinstance(testcase_sizes, tuple) and len(testcase_sizes) == 2 else testcase_sizes
q_shape, k_shape, v_shape, output_shape, cache_seqlens_shape, block_table_shape = raw_sizes[:6]
batch_size, seqlen_q, num_heads, headdim = q_shape
num_blocks, page_block_size, num_heads_k, headdim_k = k_shape
assert v_shape == k_shape
assert output_shape == q_shape
blocks_per_batch = block_table_shape[1]
# KV 长度按 padded (blocks_per_batch * page_block_size) 估计
seqlen_k = blocks_per_batch * page_block_size
# QK: 2 * batch * seqlen_q * num_heads * seqlen_k * headdim
# PV: 2 * batch * seqlen_q * num_heads * seqlen_k * headdim
flops = 4 * batch_size * seqlen_q * num_heads * seqlen_k * headdim
# memory_bytes 只算输入/输出变量的 IO不算 softmax 等中间结果
# k_cache / v_cache 按 tensor 实际占用 (padded) 计算 IO
memory_bytes = (
batch_size * seqlen_q * num_heads * headdim * 2 # q (bf16)
+ num_blocks * page_block_size * num_heads_k * headdim * 2 # k_cache (bf16)
+ num_blocks * page_block_size * num_heads_k * headdim * 2 # v_cache (bf16)
+ batch_size * seqlen_q * num_heads * headdim * 2 # output (bf16)
+ batch_size * 4 # cache_seqlens (int32)
+ batch_size * blocks_per_batch * 4 # block_table (int32)
)
return {
"flops": flops,
"memory_bytes": memory_bytes,
"dtype": "bf16",
}
DESIGNED_VRAM_SIZE = 128

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@ -1,28 +0,0 @@
---
sectionTitle: "题目描述"
type: "Text"
---
你需要实现 FlashAttention paged KV cache decode 的 CUDA C++ 前向算子。
本题输入采用 `flash_attn_with_kvcache``flashattn/benchmarks/benchmark_kvcache.py` 中使用的 paged KV cache 配置。每个 batch 只有 1 个 query tokenKV cache 长度为 `seqlen_k`K/V cache 按 page 存储。
评测程序会调用你提交代码中的 `run_kernel` 函数。你需要根据 `cache_seqlens``block_table` 读取 paged KV cache并将结果写入 `output`
baseline 使用 benchmark 中的 FlashAttention Python API
```python
out = flash_attn_with_kvcache(
q, k_cache_paged, v_cache_paged, None, None,
cache_seqlens=cache_seqlens,
cache_batch_idx=None,
block_table=block_table,
causal=False,
window_size=(-1, -1),
rotary_interleaved=False,
alibi_slopes=None,
num_splits=1,
)
output.copy_(out)
```
如何提交代码详见[评测指南](/d/2)。

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@ -1,43 +0,0 @@
---
sectionTitle: "接口约定"
type: "codeSample"
lang: "cuda"
---
你必须在提交的 CUDA 源码中提供如下 **C 符号**,函数名、参数类型、顺序必须完全一致,并使用 `extern "C"` 防止 name mangling
```cpp
#include <stdint.h>
#include <cuda_bf16.h>
extern "C" void run_kernel(
const __nv_bfloat16* q,
const __nv_bfloat16* k_cache_paged,
const __nv_bfloat16* v_cache_paged,
__nv_bfloat16* output,
const int32_t* cache_seqlens,
const int32_t* block_table,
int64_t batch_size,
int64_t seqlen_k,
int64_t seqlen_q,
int64_t num_heads,
int64_t num_heads_k,
int64_t headdim,
int64_t page_block_size,
int64_t num_blocks,
int64_t causal
);
```
### 参数说明
* `q`decode query tensorshape `(batch_size, seqlen_q, num_heads, headdim)`,连续 `bf16`
* `k_cache_paged`paged key cacheshape `(num_blocks, page_block_size, num_heads_k, headdim)`,连续 `bf16`
* `v_cache_paged`paged value cacheshape `(num_blocks, page_block_size, num_heads_k, headdim)`,连续 `bf16`
* `output`输出缓冲区shape `(batch_size, seqlen_q, num_heads, headdim)`,连续 `bf16`
* `cache_seqlens`:每个 batch 的 KV 长度shape `(batch_size)`,连续 `int32`
* `block_table`:每个 batch 的 page 映射表shape `(batch_size, num_blocks / batch_size)`,连续 `int32`
* `seqlen_q`query 长度,评测中固定为 `1`
* `page_block_size`page size评测中固定为 `16`
* `causal`:是否启用 causal mask评测中固定为 `0`
`run_kernel` 内部需要自行计算合适的 launch 配置并启动 CUDA kernel。为保证计时准确不建议在 `run_kernel` 内部做 `cudaDeviceSynchronize()` 或显式同步。

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@ -1,57 +0,0 @@
---
sectionTitle: "接口约定"
type: "codeSample"
lang: "tilelang"
---
你必须在提交的 Python 代码中提供 `run_kernel` 函数,函数名、参数顺序、类型必须完全一致:
```python
import tilelang
import tilelang.language as T
from tilelang import jit
real_kernel = None
@jit
def build_kernel(*args):
@T.prim_func
def kernel(*args):
...
return kernel
def run_kernel(
q, # Tensor[bf16], shape (batch_size, seqlen_q, num_heads, headdim)
k_cache_paged, # Tensor[bf16], shape (num_blocks, page_block_size, num_heads_k, headdim)
v_cache_paged, # Tensor[bf16], shape (num_blocks, page_block_size, num_heads_k, headdim)
output, # Tensor[bf16], shape (batch_size, seqlen_q, num_heads, headdim)
cache_seqlens, # Tensor[int32], shape (batch_size)
block_table, # Tensor[int32], shape (batch_size, num_blocks / batch_size)
batch_size, # int64
seqlen_k, # int64
seqlen_q, # int64
num_heads, # int64
num_heads_k, # int64
headdim, # int64
page_block_size, # int64
num_blocks, # int64
causal, # int64
):
global real_kernel
if real_kernel is None:
real_kernel = build_kernel(...)
real_kernel(q, k_cache_paged, v_cache_paged, output,
cache_seqlens, block_table,
batch_size, seqlen_k, seqlen_q, num_heads,
num_heads_k, headdim, page_block_size, num_blocks, causal)
```
### 参数说明
* `q`decode query tensor连续 `bfloat16`
* `k_cache_paged/v_cache_paged`paged KV cache连续 `bfloat16`
* `output`:输出缓冲区,连续 `bfloat16`,需要写入结果
* `cache_seqlens/block_table`paged KV metadata连续 `int32`
* `page_block_size`:评测中固定为 `16`
* `causal`:评测中固定为 `0`
`run_kernel` 内部需要自行计算合适的 grid/block并 launch 你实现的 TileLang kernel。

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@ -1,45 +0,0 @@
---
sectionTitle: "接口约定"
type: "codeSample"
lang: "triton"
---
你必须在提交的 Python 代码中提供 `run_kernel` 函数,函数名、参数顺序、类型必须完全一致:
```python
import triton
import triton.language as tl
@triton.jit
def your_kernel(...):
...
def run_kernel(
q, # Tensor[bf16], shape (batch_size, seqlen_q, num_heads, headdim)
k_cache_paged, # Tensor[bf16], shape (num_blocks, page_block_size, num_heads_k, headdim)
v_cache_paged, # Tensor[bf16], shape (num_blocks, page_block_size, num_heads_k, headdim)
output, # Tensor[bf16], shape (batch_size, seqlen_q, num_heads, headdim)
cache_seqlens, # Tensor[int32], shape (batch_size)
block_table, # Tensor[int32], shape (batch_size, num_blocks / batch_size)
batch_size, # int64
seqlen_k, # int64
seqlen_q, # int64
num_heads, # int64
num_heads_k, # int64
headdim, # int64
page_block_size, # int64
num_blocks, # int64
causal, # int64
):
...
```
### 参数说明
* `q`decode query tensor连续 `bfloat16`
* `k_cache_paged/v_cache_paged`paged KV cache连续 `bfloat16`
* `output`:输出缓冲区,连续 `bfloat16`,需要写入结果
* `cache_seqlens/block_table`paged KV metadata连续 `int32`
* `page_block_size`:评测中固定为 `16`
* `causal`:评测中固定为 `0`
`run_kernel` 内部需要自行计算合适的 grid/block并 launch 你实现的 Triton kernel。

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@ -1,9 +0,0 @@
---
sectionTitle: "输入格式"
type: "Text"
---
本题输入由评测程序在 GPU 上构造,并按接口约定中的顺序传入 `run_kernel`
`q/k_cache_paged/v_cache_paged/output` 均为连续 `torch.bfloat16` CUDA tensor`cache_seqlens/block_table` 均为连续 `torch.int32` CUDA tensor。
KV cache layout 固定为 `flash_attn_with_kvcache` 的 paged cache 布局:`(num_blocks, page_block_size, num_heads_k, headdim)`。

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@ -1,5 +0,0 @@
---
sectionTitle: "输出格式"
type: "Text"
---
输出写入 `output`shape 为 `(batch_size, 1, num_heads, headdim)`,类型为 `bfloat16`

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@ -1,12 +0,0 @@
---
sectionTitle: "样例"
type: "Text"
---
`batch_size = 1`、`seqlen_k = 512`、`page_block_size = 16`,则每个序列需要访问 `32` 个有效 page
```text
cache_seqlens = [512]
block_table.shape = (1, num_blocks)
```
`t` 个 KV token 位于 `block_table[0, t / 16]` 指向的物理 page 中page 内偏移为 `t % 16`

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@ -1,145 +0,0 @@
api,batch_size,seq_len_q,seq_len_kv,num_qo_heads,num_kv_heads,head_dim,time_ms,bandwidth_GB_s,tflops
BatchDecodeWithPagedKVCacheWrapper,1,1,512,32,8,64,0.02042879999999998,51.528822055137894,0.8212531328320811
BatchDecodeWithPagedKVCacheWrapper,1,1,512,32,4,128,0.02333952000000001,45.27805199078642,0.718832949435121
BatchDecodeWithPagedKVCacheWrapper,1,1,512,32,4,256,0.0319488,66.15384615384615,1.0502564102564103
BatchDecodeWithPagedKVCacheWrapper,1,1,1024,32,8,64,0.023262719999999973,90.32684054143292,1.4424122372620245
BatchDecodeWithPagedKVCacheWrapper,1,1,1024,32,4,128,0.025041919999999992,84.07278675117566,1.3399304845634845
BatchDecodeWithPagedKVCacheWrapper,1,1,1024,32,4,256,0.033387520000000004,126.11562643766291,2.0099984664928687
BatchDecodeWithPagedKVCacheWrapper,1,1,2048,32,8,64,0.028298240000000037,148.36258368011562,2.371485435136599
BatchDecodeWithPagedKVCacheWrapper,1,1,2048,32,4,128,0.027745280000000008,151.4670603432367,2.418748846650673
BatchDecodeWithPagedKVCacheWrapper,1,1,2048,32,4,256,0.03723775999999999,225.7115358174069,3.604344837068611
BatchDecodeWithPagedKVCacheWrapper,1,1,4096,32,8,64,0.03886591999999997,215.93992886312756,3.4533526544592306
BatchDecodeWithPagedKVCacheWrapper,1,1,4096,32,4,128,0.03426815999999998,245.03212311370103,3.916689078141344
BatchDecodeWithPagedKVCacheWrapper,1,1,4096,32,4,256,0.066048,254.26356589147287,4.064248062015504
BatchDecodeWithPagedKVCacheWrapper,1,1,8192,32,8,64,0.052495359999999984,319.6722910367698,5.1135082414902975
BatchDecodeWithPagedKVCacheWrapper,1,1,8192,32,4,128,0.04628480000000001,362.6548672566371,5.799646017699114
BatchDecodeWithPagedKVCacheWrapper,1,1,8192,32,4,256,0.08975359999999999,374.0330861380491,5.981608670849972
BatchDecodeWithPagedKVCacheWrapper,1,1,16384,32,8,64,0.08625152000000001,389.0775258221536,6.224480588863825
BatchDecodeWithPagedKVCacheWrapper,1,1,16384,32,4,128,0.0638464,525.6776263031276,8.408789093825181
BatchDecodeWithPagedKVCacheWrapper,1,1,16384,32,4,256,0.13059071999999994,514.0123892417473,8.222190857053247
BatchDecodeWithPagedKVCacheWrapper,2,1,512,32,8,64,0.02342912,89.86013986013987,1.4321678321678322
BatchDecodeWithPagedKVCacheWrapper,2,1,512,32,4,128,0.02486784,84.99073502161829,1.3493102738315832
BatchDecodeWithPagedKVCacheWrapper,2,1,512,32,4,256,0.03340287999999998,126.54812998160644,2.009074187614961
BatchDecodeWithPagedKVCacheWrapper,2,1,1024,32,8,64,0.02839040000000001,148.02524797114512,2.3637871956717755
BatchDecodeWithPagedKVCacheWrapper,2,1,1024,32,4,128,0.028165120000000012,149.5000908925649,2.382694055626249
BatchDecodeWithPagedKVCacheWrapper,2,1,1024,32,4,256,0.03740160000000001,225.16084873374396,3.5885557837097872
BatchDecodeWithPagedKVCacheWrapper,2,1,2048,32,8,64,0.03881984000000001,216.30176734370872,3.457451859667633
BatchDecodeWithPagedKVCacheWrapper,2,1,2048,32,4,128,0.03601408000000001,233.38072220642587,3.7268126243957904
BatchDecodeWithPagedKVCacheWrapper,2,1,2048,32,4,256,0.06728704000000002,249.82498858621207,3.9894080048698815
BatchDecodeWithPagedKVCacheWrapper,2,1,4096,32,8,64,0.052490240000000014,319.7815060476004,5.114007023019897
BatchDecodeWithPagedKVCacheWrapper,2,1,4096,32,4,128,0.04626431999999999,362.9924745462595,5.802213368747235
BatchDecodeWithPagedKVCacheWrapper,2,1,4096,32,4,256,0.08993791999999999,373.44870773084375,5.969349880450872
BatchDecodeWithPagedKVCacheWrapper,2,1,8192,32,8,64,0.08536063999999999,393.18618042226495,6.289443378119003
BatchDecodeWithPagedKVCacheWrapper,2,1,8192,32,4,128,0.0630784,532.2077922077922,8.51116883116883
BatchDecodeWithPagedKVCacheWrapper,2,1,8192,32,4,256,0.12952576,518.3650881492608,8.289793659577834
BatchDecodeWithPagedKVCacheWrapper,2,1,16384,32,8,64,0.15207424000000003,441.34401723789637,7.0606423809844445
BatchDecodeWithPagedKVCacheWrapper,2,1,16384,32,4,128,0.10330112,649.8017446471055,10.394290245836638
BatchDecodeWithPagedKVCacheWrapper,2,1,16384,32,4,256,0.2281984,588.3060354498541,9.410599057662106
BatchDecodeWithPagedKVCacheWrapper,4,1,512,32,8,64,0.0283904,148.3137962128043,2.3637871956717764
BatchDecodeWithPagedKVCacheWrapper,4,1,512,32,4,128,0.028078080000000036,150.5470459518598,2.3900802334062696
BatchDecodeWithPagedKVCacheWrapper,4,1,512,32,4,256,0.03707903999999999,228.00331400165706,3.619773543220106
BatchDecodeWithPagedKVCacheWrapper,4,1,1024,32,8,64,0.03844096000000004,218.64677677144357,3.4915290356952546
BatchDecodeWithPagedKVCacheWrapper,4,1,1024,32,4,128,0.03641856000000004,231.23857725291697,3.6854210600309254
BatchDecodeWithPagedKVCacheWrapper,4,1,1024,32,4,256,0.06640640000000002,253.63145720894363,4.04231303006939
BatchDecodeWithPagedKVCacheWrapper,4,1,2048,32,8,64,0.059007999999999984,284.5986984815619,4.5491366594360105
BatchDecodeWithPagedKVCacheWrapper,4,1,2048,32,4,128,0.04641792000000003,362.1442753143611,5.783013456871825
BatchDecodeWithPagedKVCacheWrapper,4,1,2048,32,4,256,0.08961023999999998,375.1799794309223,5.991178151068451
BatchDecodeWithPagedKVCacheWrapper,4,1,4096,32,8,64,0.09185279999999997,365.484949832776,5.84490523968785
BatchDecodeWithPagedKVCacheWrapper,4,1,4096,32,4,128,0.06349823999999998,528.9469440412838,8.454894371875506
BatchDecodeWithPagedKVCacheWrapper,4,1,4096,32,4,256,0.1303347200000001,515.3991200502825,8.238340666247638
BatchDecodeWithPagedKVCacheWrapper,4,1,8192,32,8,64,0.16568319999999992,405.1421508034613,6.480692212608161
BatchDecodeWithPagedKVCacheWrapper,4,1,8192,32,4,128,0.10290176,652.4828341128471,10.43463031147378
BatchDecodeWithPagedKVCacheWrapper,4,1,8192,32,4,256,0.22947840000000008,585.1673360107093,9.358107987505575
BatchDecodeWithPagedKVCacheWrapper,4,1,16384,32,8,64,0.30601215999999987,438.65613706331163,7.017641547316293
BatchDecodeWithPagedKVCacheWrapper,4,1,16384,32,4,128,0.18384895999999992,730.2216776205863,11.680695109724857
BatchDecodeWithPagedKVCacheWrapper,4,1,16384,32,4,256,0.4362026666666668,615.5418398787107,9.846265564630505
BatchDecodeWithPagedKVCacheWrapper,8,1,512,32,8,64,0.038655999999999975,217.85430463576174,3.472105960264903
BatchDecodeWithPagedKVCacheWrapper,8,1,512,32,4,128,0.03645951999999999,231.87754528858312,3.6812807190001418
BatchDecodeWithPagedKVCacheWrapper,8,1,512,32,4,256,0.06676480000000001,253.25153374233125,4.020613496932515
BatchDecodeWithPagedKVCacheWrapper,8,1,1024,32,8,64,0.05858303999999996,286.9428421604617,4.582135990211505
BatchDecodeWithPagedKVCacheWrapper,8,1,1024,32,4,128,0.04676608000000001,360.14889424129615,5.73996058681848
BatchDecodeWithPagedKVCacheWrapper,8,1,1024,32,4,256,0.08992768000000002,374.58437713504884,5.970029606012297
BatchDecodeWithPagedKVCacheWrapper,8,1,2048,32,8,64,0.092416,363.43490304709144,5.8092853185595565
BatchDecodeWithPagedKVCacheWrapper,8,1,2048,32,4,128,0.07130112000000002,471.5208961654457,7.5296280338934345
BatchDecodeWithPagedKVCacheWrapper,8,1,2048,32,4,256,0.14862335999999993,452.41835469202175,7.224583161085851
BatchDecodeWithPagedKVCacheWrapper,8,1,4096,32,8,64,0.16396288000000003,409.4928803397451,6.548688483637271
BatchDecodeWithPagedKVCacheWrapper,8,1,4096,32,4,128,0.11201536000000002,599.6891854831337,9.585665965810401
BatchDecodeWithPagedKVCacheWrapper,8,1,4096,32,4,256,0.24935424000000006,538.7869081351894,8.61218019793848
BatchDecodeWithPagedKVCacheWrapper,8,1,8192,32,8,64,0.3056947200000001,439.16524302415155,7.024928817874248
BatchDecodeWithPagedKVCacheWrapper,8,1,8192,32,4,128,0.20128768000000002,667.1211273337741,10.668728697156228
BatchDecodeWithPagedKVCacheWrapper,8,1,8192,32,4,256,0.46690133333333317,575.2104541716168,9.198875628255509
BatchDecodeWithPagedKVCacheWrapper,8,1,16384,32,8,64,0.5866495999999998,457.6296037702917,7.321179961598886
BatchDecodeWithPagedKVCacheWrapper,8,1,16384,32,4,128,0.37337600000000015,719.1169009256082,11.503062050051419
BatchDecodeWithPagedKVCacheWrapper,8,1,16384,32,4,256,0.8934826666666666,601.0211546726517,9.613991308915525
BatchDecodeWithPagedKVCacheWrapper,16,1,512,32,8,64,0.0698112,241.26145947928126,3.845163182984965
BatchDecodeWithPagedKVCacheWrapper,16,1,512,32,4,128,0.04724735999999999,357.8673602080625,5.681491114000869
BatchDecodeWithPagedKVCacheWrapper,16,1,512,32,4,256,0.08954879999999998,377.6329331046313,5.995288736420813
BatchDecodeWithPagedKVCacheWrapper,16,1,1024,32,8,64,0.12070911999999998,278.52052935188334,4.447641669494402
BatchDecodeWithPagedKVCacheWrapper,16,1,1024,32,4,128,0.07076864000000004,475.9947909130369,7.586282737664589
BatchDecodeWithPagedKVCacheWrapper,16,1,1024,32,4,256,0.14710784000000002,457.9702074342197,7.2990115550605585
BatchDecodeWithPagedKVCacheWrapper,16,1,2048,32,8,64,0.22239232000000014,302.05359609540454,4.8281425545630325
BatchDecodeWithPagedKVCacheWrapper,16,1,2048,32,4,128,0.11209728000000002,599.8355713894217,9.578660820316067
BatchDecodeWithPagedKVCacheWrapper,16,1,2048,32,4,256,0.2504192,537.0190145164587,8.575555101206296
BatchDecodeWithPagedKVCacheWrapper,16,1,4096,32,8,64,0.42098688000000006,318.97256275539985,5.101070247129791
BatchDecodeWithPagedKVCacheWrapper,16,1,4096,32,4,128,0.2027008,662.7936347562515,10.594352109118466
BatchDecodeWithPagedKVCacheWrapper,16,1,4096,32,4,256,0.46432,578.6905582356995,9.250015713301172
BatchDecodeWithPagedKVCacheWrapper,16,1,8192,32,8,64,0.8234496000000004,326.06851955480926,5.215822918609709
BatchDecodeWithPagedKVCacheWrapper,16,1,8192,32,4,128,0.3726506666666667,720.6924662239522,11.525451797572705
BatchDecodeWithPagedKVCacheWrapper,16,1,8192,32,4,256,0.8939733333333334,600.8378952392316,9.608714568667223
BatchDecodeWithPagedKVCacheWrapper,16,1,16384,32,8,64,1.6324906666666663,328.9062896122735,5.261858317107276
BatchDecodeWithPagedKVCacheWrapper,16,1,16384,32,4,128,0.7114879999999999,754.7590177206082,12.073196725735361
BatchDecodeWithPagedKVCacheWrapper,16,1,16384,32,4,256,1.742272,616.4387466480549,9.860612570253094
BatchDecodeWithPagedKVCacheWrapper,32,1,512,32,8,64,0.08406016,400.730905104154,6.386746254111341
BatchDecodeWithPagedKVCacheWrapper,32,1,512,32,4,128,0.08498175999999999,397.92746113989637,6.317484034220991
BatchDecodeWithPagedKVCacheWrapper,32,1,512,32,4,256,0.1808896,373.8918765921313,5.935895839230116
BatchDecodeWithPagedKVCacheWrapper,32,1,1024,32,8,64,0.14712832,457.0155902004454,7.297995545657015
BatchDecodeWithPagedKVCacheWrapper,32,1,1024,32,4,128,0.14887935999999996,452.5208061077104,7.212160396175805
BatchDecodeWithPagedKVCacheWrapper,32,1,1024,32,4,256,0.3279462400000001,410.8661712358707,6.548279522887651
BatchDecodeWithPagedKVCacheWrapper,32,1,2048,32,8,64,0.27223039999999993,493.51137859695325,7.888478465299983
BatchDecodeWithPagedKVCacheWrapper,32,1,2048,32,4,128,0.27833343999999993,483.1610316029581,7.715507155733786
BatchDecodeWithPagedKVCacheWrapper,32,1,2048,32,4,256,0.6300373333333331,426.89493109403054,6.817004435715981
BatchDecodeWithPagedKVCacheWrapper,32,1,4096,32,8,64,0.52494336,511.6104868913858,8.181772784019977
BatchDecodeWithPagedKVCacheWrapper,32,1,4096,32,4,128,0.5080533333333332,528.8767583455806,8.453772496325847
BatchDecodeWithPagedKVCacheWrapper,32,1,4096,32,4,256,1.2449493333333332,431.66029782202656,6.899826653186422
BatchDecodeWithPagedKVCacheWrapper,32,1,8192,32,8,64,1.0273706666666667,522.6954607749491,8.361086091615102
BatchDecodeWithPagedKVCacheWrapper,32,1,8192,32,4,128,1.0078719999999999,532.9377698755399,8.522842773685548
BatchDecodeWithPagedKVCacheWrapper,32,1,8192,32,4,256,2.446784,439.05228741073995,7.021408176610604
BatchDecodeWithPagedKVCacheWrapper,32,1,16384,32,8,64,2.0322986666666663,528.4030903594223,8.453417534430637
BatchDecodeWithPagedKVCacheWrapper,32,1,16384,32,4,128,2.018026666666667,532.2050425498176,8.513202262276018
BatchDecodeWithPagedKVCacheWrapper,32,1,16384,32,4,256,4.847957333333333,443.0748433429558,7.087467154826447
BatchDecodeWithPagedKVCacheWrapper,64,1,512,32,8,64,0.13077504,515.1671756322919,8.210602145485865
BatchDecodeWithPagedKVCacheWrapper,64,1,512,32,4,128,0.14377984000000002,470.39384659212305,7.4679581226408365
BatchDecodeWithPagedKVCacheWrapper,64,1,512,32,4,256,0.27039743999999993,500.2499431947286,7.9419525865333656
BatchDecodeWithPagedKVCacheWrapper,64,1,1024,32,8,64,0.231424,581.0973451327434,9.279433628318584
BatchDecodeWithPagedKVCacheWrapper,64,1,1024,32,4,128,0.25729023999999995,523.6965692907746,8.34654143118682
BatchDecodeWithPagedKVCacheWrapper,64,1,1024,32,4,256,0.502016,536.8036715961244,8.555439061703213
BatchDecodeWithPagedKVCacheWrapper,64,1,2048,32,8,64,0.4335923199999999,619.7010131544766,9.905542828802874
BatchDecodeWithPagedKVCacheWrapper,64,1,2048,32,4,128,0.47517866666666664,566.018137739068,9.038636616683128
BatchDecodeWithPagedKVCacheWrapper,64,1,2048,32,4,256,0.9693866666666666,554.9070422535212,8.861205633802816
BatchDecodeWithPagedKVCacheWrapper,64,1,4096,32,8,64,0.8388479999999999,640.3222705424583,10.240156252384224
BatchDecodeWithPagedKVCacheWrapper,64,1,4096,32,4,128,0.9261013333333336,580.2768883462716,9.275372232844207
BatchDecodeWithPagedKVCacheWrapper,64,1,4096,32,4,256,1.906474666666667,563.7580287805205,9.011328335161021
BatchDecodeWithPagedKVCacheWrapper,64,1,8192,32,8,64,1.6543999999999999,649.1803481624759,10.384350328820116
BatchDecodeWithPagedKVCacheWrapper,64,1,8192,32,4,128,1.8147413333333327,591.9665201137942,9.466841840453299
BatchDecodeWithPagedKVCacheWrapper,64,1,8192,32,4,256,3.774634666666667,569.2026947596871,9.10279839037844
BatchDecodeWithPagedKVCacheWrapper,64,1,16384,32,8,64,3.2680746666666667,657.1899393567508,10.513755612274872
BatchDecodeWithPagedKVCacheWrapper,64,1,16384,32,4,128,3.5912106666666666,598.129192458031,9.567731207451676
BatchDecodeWithPagedKVCacheWrapper,64,1,16384,32,4,256,7.526272,570.802632697835,9.130612969608327
BatchDecodeWithPagedKVCacheWrapper,128,1,512,32,8,64,0.2176000000000001,619.2188235294115,9.86895058823529
BatchDecodeWithPagedKVCacheWrapper,128,1,512,32,4,128,0.21536768,628.0715100798782,9.971243818942565
BatchDecodeWithPagedKVCacheWrapper,128,1,512,32,4,256,0.45757866666666663,591.2264441232692,9.386292694298103
BatchDecodeWithPagedKVCacheWrapper,128,1,1024,32,8,64,0.39856127999999985,674.826576229382,10.776177997019683
BatchDecodeWithPagedKVCacheWrapper,128,1,1024,32,4,128,0.39381333333333335,684.2938244853738,10.906099241603465
BatchDecodeWithPagedKVCacheWrapper,128,1,1024,32,4,256,0.8577493333333336,628.3514810853829,10.014504539010616
BatchDecodeWithPagedKVCacheWrapper,128,1,2048,32,8,64,0.7606186666666664,706.5238121949853,11.293352330734283
BatchDecodeWithPagedKVCacheWrapper,128,1,2048,32,4,128,0.7354026666666665,731.4625203063357,11.680586679043863
BatchDecodeWithPagedKVCacheWrapper,128,1,2048,32,4,256,1.6673066666666665,645.2556074467406,10.30396478792144
BatchDecodeWithPagedKVCacheWrapper,128,1,4096,32,8,64,1.4816639999999999,725.0403006349618,11.594983197270098
BatchDecodeWithPagedKVCacheWrapper,128,1,4096,32,4,128,1.4354773333333333,748.7338009749138,11.968053263583403
BatchDecodeWithPagedKVCacheWrapper,128,1,4096,32,4,256,3.2697173333333325,657.4209880731792,10.508473627893627
BatchDecodeWithPagedKVCacheWrapper,128,1,8192,32,8,64,2.9226666666666676,734.9479708029195,11.75629734306569
BatchDecodeWithPagedKVCacheWrapper,128,1,8192,32,4,128,2.825301333333333,760.4612643087983,12.161442024827087
BatchDecodeWithPagedKVCacheWrapper,128,1,8192,32,4,256,6.484309333333334,662.6865294520187,10.5978097594357
BatchDecodeWithPagedKVCacheWrapper,128,1,16384,32,8,64,5.794901333333332,741.2536188134122,11.858610316747416
BatchDecodeWithPagedKVCacheWrapper,128,1,16384,32,4,128,5.61536,765.0472760428539,12.237768680191476
BatchDecodeWithPagedKVCacheWrapper,128,1,16384,32,4,256,12.908458666666668,665.6125232199165,10.647200957222468
1 api batch_size seq_len_q seq_len_kv num_qo_heads num_kv_heads head_dim time_ms bandwidth_GB_s tflops
2 BatchDecodeWithPagedKVCacheWrapper 1 1 512 32 8 64 0.02042879999999998 51.528822055137894 0.8212531328320811
3 BatchDecodeWithPagedKVCacheWrapper 1 1 512 32 4 128 0.02333952000000001 45.27805199078642 0.718832949435121
4 BatchDecodeWithPagedKVCacheWrapper 1 1 512 32 4 256 0.0319488 66.15384615384615 1.0502564102564103
5 BatchDecodeWithPagedKVCacheWrapper 1 1 1024 32 8 64 0.023262719999999973 90.32684054143292 1.4424122372620245
6 BatchDecodeWithPagedKVCacheWrapper 1 1 1024 32 4 128 0.025041919999999992 84.07278675117566 1.3399304845634845
7 BatchDecodeWithPagedKVCacheWrapper 1 1 1024 32 4 256 0.033387520000000004 126.11562643766291 2.0099984664928687
8 BatchDecodeWithPagedKVCacheWrapper 1 1 2048 32 8 64 0.028298240000000037 148.36258368011562 2.371485435136599
9 BatchDecodeWithPagedKVCacheWrapper 1 1 2048 32 4 128 0.027745280000000008 151.4670603432367 2.418748846650673
10 BatchDecodeWithPagedKVCacheWrapper 1 1 2048 32 4 256 0.03723775999999999 225.7115358174069 3.604344837068611
11 BatchDecodeWithPagedKVCacheWrapper 1 1 4096 32 8 64 0.03886591999999997 215.93992886312756 3.4533526544592306
12 BatchDecodeWithPagedKVCacheWrapper 1 1 4096 32 4 128 0.03426815999999998 245.03212311370103 3.916689078141344
13 BatchDecodeWithPagedKVCacheWrapper 1 1 4096 32 4 256 0.066048 254.26356589147287 4.064248062015504
14 BatchDecodeWithPagedKVCacheWrapper 1 1 8192 32 8 64 0.052495359999999984 319.6722910367698 5.1135082414902975
15 BatchDecodeWithPagedKVCacheWrapper 1 1 8192 32 4 128 0.04628480000000001 362.6548672566371 5.799646017699114
16 BatchDecodeWithPagedKVCacheWrapper 1 1 8192 32 4 256 0.08975359999999999 374.0330861380491 5.981608670849972
17 BatchDecodeWithPagedKVCacheWrapper 1 1 16384 32 8 64 0.08625152000000001 389.0775258221536 6.224480588863825
18 BatchDecodeWithPagedKVCacheWrapper 1 1 16384 32 4 128 0.0638464 525.6776263031276 8.408789093825181
19 BatchDecodeWithPagedKVCacheWrapper 1 1 16384 32 4 256 0.13059071999999994 514.0123892417473 8.222190857053247
20 BatchDecodeWithPagedKVCacheWrapper 2 1 512 32 8 64 0.02342912 89.86013986013987 1.4321678321678322
21 BatchDecodeWithPagedKVCacheWrapper 2 1 512 32 4 128 0.02486784 84.99073502161829 1.3493102738315832
22 BatchDecodeWithPagedKVCacheWrapper 2 1 512 32 4 256 0.03340287999999998 126.54812998160644 2.009074187614961
23 BatchDecodeWithPagedKVCacheWrapper 2 1 1024 32 8 64 0.02839040000000001 148.02524797114512 2.3637871956717755
24 BatchDecodeWithPagedKVCacheWrapper 2 1 1024 32 4 128 0.028165120000000012 149.5000908925649 2.382694055626249
25 BatchDecodeWithPagedKVCacheWrapper 2 1 1024 32 4 256 0.03740160000000001 225.16084873374396 3.5885557837097872
26 BatchDecodeWithPagedKVCacheWrapper 2 1 2048 32 8 64 0.03881984000000001 216.30176734370872 3.457451859667633
27 BatchDecodeWithPagedKVCacheWrapper 2 1 2048 32 4 128 0.03601408000000001 233.38072220642587 3.7268126243957904
28 BatchDecodeWithPagedKVCacheWrapper 2 1 2048 32 4 256 0.06728704000000002 249.82498858621207 3.9894080048698815
29 BatchDecodeWithPagedKVCacheWrapper 2 1 4096 32 8 64 0.052490240000000014 319.7815060476004 5.114007023019897
30 BatchDecodeWithPagedKVCacheWrapper 2 1 4096 32 4 128 0.04626431999999999 362.9924745462595 5.802213368747235
31 BatchDecodeWithPagedKVCacheWrapper 2 1 4096 32 4 256 0.08993791999999999 373.44870773084375 5.969349880450872
32 BatchDecodeWithPagedKVCacheWrapper 2 1 8192 32 8 64 0.08536063999999999 393.18618042226495 6.289443378119003
33 BatchDecodeWithPagedKVCacheWrapper 2 1 8192 32 4 128 0.0630784 532.2077922077922 8.51116883116883
34 BatchDecodeWithPagedKVCacheWrapper 2 1 8192 32 4 256 0.12952576 518.3650881492608 8.289793659577834
35 BatchDecodeWithPagedKVCacheWrapper 2 1 16384 32 8 64 0.15207424000000003 441.34401723789637 7.0606423809844445
36 BatchDecodeWithPagedKVCacheWrapper 2 1 16384 32 4 128 0.10330112 649.8017446471055 10.394290245836638
37 BatchDecodeWithPagedKVCacheWrapper 2 1 16384 32 4 256 0.2281984 588.3060354498541 9.410599057662106
38 BatchDecodeWithPagedKVCacheWrapper 4 1 512 32 8 64 0.0283904 148.3137962128043 2.3637871956717764
39 BatchDecodeWithPagedKVCacheWrapper 4 1 512 32 4 128 0.028078080000000036 150.5470459518598 2.3900802334062696
40 BatchDecodeWithPagedKVCacheWrapper 4 1 512 32 4 256 0.03707903999999999 228.00331400165706 3.619773543220106
41 BatchDecodeWithPagedKVCacheWrapper 4 1 1024 32 8 64 0.03844096000000004 218.64677677144357 3.4915290356952546
42 BatchDecodeWithPagedKVCacheWrapper 4 1 1024 32 4 128 0.03641856000000004 231.23857725291697 3.6854210600309254
43 BatchDecodeWithPagedKVCacheWrapper 4 1 1024 32 4 256 0.06640640000000002 253.63145720894363 4.04231303006939
44 BatchDecodeWithPagedKVCacheWrapper 4 1 2048 32 8 64 0.059007999999999984 284.5986984815619 4.5491366594360105
45 BatchDecodeWithPagedKVCacheWrapper 4 1 2048 32 4 128 0.04641792000000003 362.1442753143611 5.783013456871825
46 BatchDecodeWithPagedKVCacheWrapper 4 1 2048 32 4 256 0.08961023999999998 375.1799794309223 5.991178151068451
47 BatchDecodeWithPagedKVCacheWrapper 4 1 4096 32 8 64 0.09185279999999997 365.484949832776 5.84490523968785
48 BatchDecodeWithPagedKVCacheWrapper 4 1 4096 32 4 128 0.06349823999999998 528.9469440412838 8.454894371875506
49 BatchDecodeWithPagedKVCacheWrapper 4 1 4096 32 4 256 0.1303347200000001 515.3991200502825 8.238340666247638
50 BatchDecodeWithPagedKVCacheWrapper 4 1 8192 32 8 64 0.16568319999999992 405.1421508034613 6.480692212608161
51 BatchDecodeWithPagedKVCacheWrapper 4 1 8192 32 4 128 0.10290176 652.4828341128471 10.43463031147378
52 BatchDecodeWithPagedKVCacheWrapper 4 1 8192 32 4 256 0.22947840000000008 585.1673360107093 9.358107987505575
53 BatchDecodeWithPagedKVCacheWrapper 4 1 16384 32 8 64 0.30601215999999987 438.65613706331163 7.017641547316293
54 BatchDecodeWithPagedKVCacheWrapper 4 1 16384 32 4 128 0.18384895999999992 730.2216776205863 11.680695109724857
55 BatchDecodeWithPagedKVCacheWrapper 4 1 16384 32 4 256 0.4362026666666668 615.5418398787107 9.846265564630505
56 BatchDecodeWithPagedKVCacheWrapper 8 1 512 32 8 64 0.038655999999999975 217.85430463576174 3.472105960264903
57 BatchDecodeWithPagedKVCacheWrapper 8 1 512 32 4 128 0.03645951999999999 231.87754528858312 3.6812807190001418
58 BatchDecodeWithPagedKVCacheWrapper 8 1 512 32 4 256 0.06676480000000001 253.25153374233125 4.020613496932515
59 BatchDecodeWithPagedKVCacheWrapper 8 1 1024 32 8 64 0.05858303999999996 286.9428421604617 4.582135990211505
60 BatchDecodeWithPagedKVCacheWrapper 8 1 1024 32 4 128 0.04676608000000001 360.14889424129615 5.73996058681848
61 BatchDecodeWithPagedKVCacheWrapper 8 1 1024 32 4 256 0.08992768000000002 374.58437713504884 5.970029606012297
62 BatchDecodeWithPagedKVCacheWrapper 8 1 2048 32 8 64 0.092416 363.43490304709144 5.8092853185595565
63 BatchDecodeWithPagedKVCacheWrapper 8 1 2048 32 4 128 0.07130112000000002 471.5208961654457 7.5296280338934345
64 BatchDecodeWithPagedKVCacheWrapper 8 1 2048 32 4 256 0.14862335999999993 452.41835469202175 7.224583161085851
65 BatchDecodeWithPagedKVCacheWrapper 8 1 4096 32 8 64 0.16396288000000003 409.4928803397451 6.548688483637271
66 BatchDecodeWithPagedKVCacheWrapper 8 1 4096 32 4 128 0.11201536000000002 599.6891854831337 9.585665965810401
67 BatchDecodeWithPagedKVCacheWrapper 8 1 4096 32 4 256 0.24935424000000006 538.7869081351894 8.61218019793848
68 BatchDecodeWithPagedKVCacheWrapper 8 1 8192 32 8 64 0.3056947200000001 439.16524302415155 7.024928817874248
69 BatchDecodeWithPagedKVCacheWrapper 8 1 8192 32 4 128 0.20128768000000002 667.1211273337741 10.668728697156228
70 BatchDecodeWithPagedKVCacheWrapper 8 1 8192 32 4 256 0.46690133333333317 575.2104541716168 9.198875628255509
71 BatchDecodeWithPagedKVCacheWrapper 8 1 16384 32 8 64 0.5866495999999998 457.6296037702917 7.321179961598886
72 BatchDecodeWithPagedKVCacheWrapper 8 1 16384 32 4 128 0.37337600000000015 719.1169009256082 11.503062050051419
73 BatchDecodeWithPagedKVCacheWrapper 8 1 16384 32 4 256 0.8934826666666666 601.0211546726517 9.613991308915525
74 BatchDecodeWithPagedKVCacheWrapper 16 1 512 32 8 64 0.0698112 241.26145947928126 3.845163182984965
75 BatchDecodeWithPagedKVCacheWrapper 16 1 512 32 4 128 0.04724735999999999 357.8673602080625 5.681491114000869
76 BatchDecodeWithPagedKVCacheWrapper 16 1 512 32 4 256 0.08954879999999998 377.6329331046313 5.995288736420813
77 BatchDecodeWithPagedKVCacheWrapper 16 1 1024 32 8 64 0.12070911999999998 278.52052935188334 4.447641669494402
78 BatchDecodeWithPagedKVCacheWrapper 16 1 1024 32 4 128 0.07076864000000004 475.9947909130369 7.586282737664589
79 BatchDecodeWithPagedKVCacheWrapper 16 1 1024 32 4 256 0.14710784000000002 457.9702074342197 7.2990115550605585
80 BatchDecodeWithPagedKVCacheWrapper 16 1 2048 32 8 64 0.22239232000000014 302.05359609540454 4.8281425545630325
81 BatchDecodeWithPagedKVCacheWrapper 16 1 2048 32 4 128 0.11209728000000002 599.8355713894217 9.578660820316067
82 BatchDecodeWithPagedKVCacheWrapper 16 1 2048 32 4 256 0.2504192 537.0190145164587 8.575555101206296
83 BatchDecodeWithPagedKVCacheWrapper 16 1 4096 32 8 64 0.42098688000000006 318.97256275539985 5.101070247129791
84 BatchDecodeWithPagedKVCacheWrapper 16 1 4096 32 4 128 0.2027008 662.7936347562515 10.594352109118466
85 BatchDecodeWithPagedKVCacheWrapper 16 1 4096 32 4 256 0.46432 578.6905582356995 9.250015713301172
86 BatchDecodeWithPagedKVCacheWrapper 16 1 8192 32 8 64 0.8234496000000004 326.06851955480926 5.215822918609709
87 BatchDecodeWithPagedKVCacheWrapper 16 1 8192 32 4 128 0.3726506666666667 720.6924662239522 11.525451797572705
88 BatchDecodeWithPagedKVCacheWrapper 16 1 8192 32 4 256 0.8939733333333334 600.8378952392316 9.608714568667223
89 BatchDecodeWithPagedKVCacheWrapper 16 1 16384 32 8 64 1.6324906666666663 328.9062896122735 5.261858317107276
90 BatchDecodeWithPagedKVCacheWrapper 16 1 16384 32 4 128 0.7114879999999999 754.7590177206082 12.073196725735361
91 BatchDecodeWithPagedKVCacheWrapper 16 1 16384 32 4 256 1.742272 616.4387466480549 9.860612570253094
92 BatchDecodeWithPagedKVCacheWrapper 32 1 512 32 8 64 0.08406016 400.730905104154 6.386746254111341
93 BatchDecodeWithPagedKVCacheWrapper 32 1 512 32 4 128 0.08498175999999999 397.92746113989637 6.317484034220991
94 BatchDecodeWithPagedKVCacheWrapper 32 1 512 32 4 256 0.1808896 373.8918765921313 5.935895839230116
95 BatchDecodeWithPagedKVCacheWrapper 32 1 1024 32 8 64 0.14712832 457.0155902004454 7.297995545657015
96 BatchDecodeWithPagedKVCacheWrapper 32 1 1024 32 4 128 0.14887935999999996 452.5208061077104 7.212160396175805
97 BatchDecodeWithPagedKVCacheWrapper 32 1 1024 32 4 256 0.3279462400000001 410.8661712358707 6.548279522887651
98 BatchDecodeWithPagedKVCacheWrapper 32 1 2048 32 8 64 0.27223039999999993 493.51137859695325 7.888478465299983
99 BatchDecodeWithPagedKVCacheWrapper 32 1 2048 32 4 128 0.27833343999999993 483.1610316029581 7.715507155733786
100 BatchDecodeWithPagedKVCacheWrapper 32 1 2048 32 4 256 0.6300373333333331 426.89493109403054 6.817004435715981
101 BatchDecodeWithPagedKVCacheWrapper 32 1 4096 32 8 64 0.52494336 511.6104868913858 8.181772784019977
102 BatchDecodeWithPagedKVCacheWrapper 32 1 4096 32 4 128 0.5080533333333332 528.8767583455806 8.453772496325847
103 BatchDecodeWithPagedKVCacheWrapper 32 1 4096 32 4 256 1.2449493333333332 431.66029782202656 6.899826653186422
104 BatchDecodeWithPagedKVCacheWrapper 32 1 8192 32 8 64 1.0273706666666667 522.6954607749491 8.361086091615102
105 BatchDecodeWithPagedKVCacheWrapper 32 1 8192 32 4 128 1.0078719999999999 532.9377698755399 8.522842773685548
106 BatchDecodeWithPagedKVCacheWrapper 32 1 8192 32 4 256 2.446784 439.05228741073995 7.021408176610604
107 BatchDecodeWithPagedKVCacheWrapper 32 1 16384 32 8 64 2.0322986666666663 528.4030903594223 8.453417534430637
108 BatchDecodeWithPagedKVCacheWrapper 32 1 16384 32 4 128 2.018026666666667 532.2050425498176 8.513202262276018
109 BatchDecodeWithPagedKVCacheWrapper 32 1 16384 32 4 256 4.847957333333333 443.0748433429558 7.087467154826447
110 BatchDecodeWithPagedKVCacheWrapper 64 1 512 32 8 64 0.13077504 515.1671756322919 8.210602145485865
111 BatchDecodeWithPagedKVCacheWrapper 64 1 512 32 4 128 0.14377984000000002 470.39384659212305 7.4679581226408365
112 BatchDecodeWithPagedKVCacheWrapper 64 1 512 32 4 256 0.27039743999999993 500.2499431947286 7.9419525865333656
113 BatchDecodeWithPagedKVCacheWrapper 64 1 1024 32 8 64 0.231424 581.0973451327434 9.279433628318584
114 BatchDecodeWithPagedKVCacheWrapper 64 1 1024 32 4 128 0.25729023999999995 523.6965692907746 8.34654143118682
115 BatchDecodeWithPagedKVCacheWrapper 64 1 1024 32 4 256 0.502016 536.8036715961244 8.555439061703213
116 BatchDecodeWithPagedKVCacheWrapper 64 1 2048 32 8 64 0.4335923199999999 619.7010131544766 9.905542828802874
117 BatchDecodeWithPagedKVCacheWrapper 64 1 2048 32 4 128 0.47517866666666664 566.018137739068 9.038636616683128
118 BatchDecodeWithPagedKVCacheWrapper 64 1 2048 32 4 256 0.9693866666666666 554.9070422535212 8.861205633802816
119 BatchDecodeWithPagedKVCacheWrapper 64 1 4096 32 8 64 0.8388479999999999 640.3222705424583 10.240156252384224
120 BatchDecodeWithPagedKVCacheWrapper 64 1 4096 32 4 128 0.9261013333333336 580.2768883462716 9.275372232844207
121 BatchDecodeWithPagedKVCacheWrapper 64 1 4096 32 4 256 1.906474666666667 563.7580287805205 9.011328335161021
122 BatchDecodeWithPagedKVCacheWrapper 64 1 8192 32 8 64 1.6543999999999999 649.1803481624759 10.384350328820116
123 BatchDecodeWithPagedKVCacheWrapper 64 1 8192 32 4 128 1.8147413333333327 591.9665201137942 9.466841840453299
124 BatchDecodeWithPagedKVCacheWrapper 64 1 8192 32 4 256 3.774634666666667 569.2026947596871 9.10279839037844
125 BatchDecodeWithPagedKVCacheWrapper 64 1 16384 32 8 64 3.2680746666666667 657.1899393567508 10.513755612274872
126 BatchDecodeWithPagedKVCacheWrapper 64 1 16384 32 4 128 3.5912106666666666 598.129192458031 9.567731207451676
127 BatchDecodeWithPagedKVCacheWrapper 64 1 16384 32 4 256 7.526272 570.802632697835 9.130612969608327
128 BatchDecodeWithPagedKVCacheWrapper 128 1 512 32 8 64 0.2176000000000001 619.2188235294115 9.86895058823529
129 BatchDecodeWithPagedKVCacheWrapper 128 1 512 32 4 128 0.21536768 628.0715100798782 9.971243818942565
130 BatchDecodeWithPagedKVCacheWrapper 128 1 512 32 4 256 0.45757866666666663 591.2264441232692 9.386292694298103
131 BatchDecodeWithPagedKVCacheWrapper 128 1 1024 32 8 64 0.39856127999999985 674.826576229382 10.776177997019683
132 BatchDecodeWithPagedKVCacheWrapper 128 1 1024 32 4 128 0.39381333333333335 684.2938244853738 10.906099241603465
133 BatchDecodeWithPagedKVCacheWrapper 128 1 1024 32 4 256 0.8577493333333336 628.3514810853829 10.014504539010616
134 BatchDecodeWithPagedKVCacheWrapper 128 1 2048 32 8 64 0.7606186666666664 706.5238121949853 11.293352330734283
135 BatchDecodeWithPagedKVCacheWrapper 128 1 2048 32 4 128 0.7354026666666665 731.4625203063357 11.680586679043863
136 BatchDecodeWithPagedKVCacheWrapper 128 1 2048 32 4 256 1.6673066666666665 645.2556074467406 10.30396478792144
137 BatchDecodeWithPagedKVCacheWrapper 128 1 4096 32 8 64 1.4816639999999999 725.0403006349618 11.594983197270098
138 BatchDecodeWithPagedKVCacheWrapper 128 1 4096 32 4 128 1.4354773333333333 748.7338009749138 11.968053263583403
139 BatchDecodeWithPagedKVCacheWrapper 128 1 4096 32 4 256 3.2697173333333325 657.4209880731792 10.508473627893627
140 BatchDecodeWithPagedKVCacheWrapper 128 1 8192 32 8 64 2.9226666666666676 734.9479708029195 11.75629734306569
141 BatchDecodeWithPagedKVCacheWrapper 128 1 8192 32 4 128 2.825301333333333 760.4612643087983 12.161442024827087
142 BatchDecodeWithPagedKVCacheWrapper 128 1 8192 32 4 256 6.484309333333334 662.6865294520187 10.5978097594357
143 BatchDecodeWithPagedKVCacheWrapper 128 1 16384 32 8 64 5.794901333333332 741.2536188134122 11.858610316747416
144 BatchDecodeWithPagedKVCacheWrapper 128 1 16384 32 4 128 5.61536 765.0472760428539 12.237768680191476
145 BatchDecodeWithPagedKVCacheWrapper 128 1 16384 32 4 256 12.908458666666668 665.6125232199165 10.647200957222468

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@ -1,33 +0,0 @@
api,batch_size,seq_len,num_heads,head_dim_ckv,head_dim_kpe,time_ms,bandwidth_GB_s,tflops
BatchMLAPagedAttentionWrapper,1,1024,64,512,64,0.035975679999999996,34.83953604212624,3.963964989681919
BatchMLAPagedAttentionWrapper,1,4096,64,512,64,0.05349631999999998,89.58223668469162,10.662889409963158
BatchMLAPagedAttentionWrapper,1,8192,64,512,64,0.06174719999999999,154.0298507462687,18.47615257048093
BatchMLAPagedAttentionWrapper,1,16384,64,512,64,0.08995584000000004,210.63775292410136,25.3646831156265
BatchMLAPagedAttentionWrapper,4,1024,64,512,64,0.05086207999999998,98.5705657338434,11.215139923495071
BatchMLAPagedAttentionWrapper,4,4096,64,512,64,0.08034559999999999,238.58531145451653,28.39858531145452
BatchMLAPagedAttentionWrapper,4,8192,64,512,64,0.10866687999999997,350.0942329438373,41.99442140972485
BatchMLAPagedAttentionWrapper,4,16384,64,512,64,0.16821760000000002,450.56155836250184,54.2559488662304
BatchMLAPagedAttentionWrapper,16,1024,64,512,64,0.06735359999999997,297.7423033067276,33.87645762067656
BatchMLAPagedAttentionWrapper,16,4096,64,512,64,0.14288383999999996,536.6395528003728,63.87570143691549
BatchMLAPagedAttentionWrapper,16,8192,64,512,64,0.21618431999999987,703.9113289992544,84.43540682321462
BatchMLAPagedAttentionWrapper,16,16384,64,512,64,0.39363328000000025,770.1826837405613,92.74424666532254
BatchMLAPagedAttentionWrapper,64,1024,64,512,64,0.15278592,525.0226198853926,59.73590697362689
BatchMLAPagedAttentionWrapper,64,4096,64,512,64,0.4850483199999999,632.3256206721838,75.26512413443676
BatchMLAPagedAttentionWrapper,64,8192,64,512,64,0.9133465600000001,666.4484158127227,79.94166423750474
BatchMLAPagedAttentionWrapper,64,16384,64,512,64,1.7720038399999998,684.3541287134007,82.40890045926764
BatchMLAPagedAttentionWrapper,1,1024,128,512,64,0.04499968000000001,29.491409716691315,6.338104448742746
BatchMLAPagedAttentionWrapper,1,4096,128,512,64,0.05375743999999999,90.51859612362495,21.222191532930147
BatchMLAPagedAttentionWrapper,1,8192,128,512,64,0.08302080000000002,115.44865864939868,27.48349059512796
BatchMLAPagedAttentionWrapper,1,16384,128,512,64,0.11321343999999998,168.01736613603475,40.30795947901592
BatchMLAPagedAttentionWrapper,4,1024,128,512,64,0.05178880000000003,102.50123578843295,22.028907563025196
BatchMLAPagedAttentionWrapper,4,4096,128,512,64,0.11032576,176.4247261926861,41.36298496380175
BatchMLAPagedAttentionWrapper,4,8192,128,512,64,0.1688268800000001,227.08800873415404,54.06014435615937
BatchMLAPagedAttentionWrapper,4,16384,128,512,64,0.30781695999999986,247.18357299091002,59.30021207408457
BatchMLAPagedAttentionWrapper,16,1024,128,512,64,0.10527487999999995,201.69734698344004,43.34749896651511
BatchMLAPagedAttentionWrapper,16,4096,128,512,64,0.2629478400000002,296.0920614521874,69.41913273750409
BatchMLAPagedAttentionWrapper,16,8192,128,512,64,0.3962367999999998,387.02674764181444,92.13485980100793
BatchMLAPagedAttentionWrapper,16,16384,128,512,64,0.7528985599999998,404.23663979381246,96.97779742333418
BatchMLAPagedAttentionWrapper,64,1024,128,512,64,0.3242547199999998,261.9380714026308,56.29404872811108
BatchMLAPagedAttentionWrapper,64,4096,128,512,64,1.1793126399999994,264.07507342582215,61.91271216426548
BatchMLAPagedAttentionWrapper,64,8192,128,512,64,2.3186406399999986,264.55887532446616,62.98038839860932
BatchMLAPagedAttentionWrapper,64,16384,128,512,64,4.6020608,264.53295358462015,63.462389746784744
1 api batch_size seq_len num_heads head_dim_ckv head_dim_kpe time_ms bandwidth_GB_s tflops
2 BatchMLAPagedAttentionWrapper 1 1024 64 512 64 0.035975679999999996 34.83953604212624 3.963964989681919
3 BatchMLAPagedAttentionWrapper 1 4096 64 512 64 0.05349631999999998 89.58223668469162 10.662889409963158
4 BatchMLAPagedAttentionWrapper 1 8192 64 512 64 0.06174719999999999 154.0298507462687 18.47615257048093
5 BatchMLAPagedAttentionWrapper 1 16384 64 512 64 0.08995584000000004 210.63775292410136 25.3646831156265
6 BatchMLAPagedAttentionWrapper 4 1024 64 512 64 0.05086207999999998 98.5705657338434 11.215139923495071
7 BatchMLAPagedAttentionWrapper 4 4096 64 512 64 0.08034559999999999 238.58531145451653 28.39858531145452
8 BatchMLAPagedAttentionWrapper 4 8192 64 512 64 0.10866687999999997 350.0942329438373 41.99442140972485
9 BatchMLAPagedAttentionWrapper 4 16384 64 512 64 0.16821760000000002 450.56155836250184 54.2559488662304
10 BatchMLAPagedAttentionWrapper 16 1024 64 512 64 0.06735359999999997 297.7423033067276 33.87645762067656
11 BatchMLAPagedAttentionWrapper 16 4096 64 512 64 0.14288383999999996 536.6395528003728 63.87570143691549
12 BatchMLAPagedAttentionWrapper 16 8192 64 512 64 0.21618431999999987 703.9113289992544 84.43540682321462
13 BatchMLAPagedAttentionWrapper 16 16384 64 512 64 0.39363328000000025 770.1826837405613 92.74424666532254
14 BatchMLAPagedAttentionWrapper 64 1024 64 512 64 0.15278592 525.0226198853926 59.73590697362689
15 BatchMLAPagedAttentionWrapper 64 4096 64 512 64 0.4850483199999999 632.3256206721838 75.26512413443676
16 BatchMLAPagedAttentionWrapper 64 8192 64 512 64 0.9133465600000001 666.4484158127227 79.94166423750474
17 BatchMLAPagedAttentionWrapper 64 16384 64 512 64 1.7720038399999998 684.3541287134007 82.40890045926764
18 BatchMLAPagedAttentionWrapper 1 1024 128 512 64 0.04499968000000001 29.491409716691315 6.338104448742746
19 BatchMLAPagedAttentionWrapper 1 4096 128 512 64 0.05375743999999999 90.51859612362495 21.222191532930147
20 BatchMLAPagedAttentionWrapper 1 8192 128 512 64 0.08302080000000002 115.44865864939868 27.48349059512796
21 BatchMLAPagedAttentionWrapper 1 16384 128 512 64 0.11321343999999998 168.01736613603475 40.30795947901592
22 BatchMLAPagedAttentionWrapper 4 1024 128 512 64 0.05178880000000003 102.50123578843295 22.028907563025196
23 BatchMLAPagedAttentionWrapper 4 4096 128 512 64 0.11032576 176.4247261926861 41.36298496380175
24 BatchMLAPagedAttentionWrapper 4 8192 128 512 64 0.1688268800000001 227.08800873415404 54.06014435615937
25 BatchMLAPagedAttentionWrapper 4 16384 128 512 64 0.30781695999999986 247.18357299091002 59.30021207408457
26 BatchMLAPagedAttentionWrapper 16 1024 128 512 64 0.10527487999999995 201.69734698344004 43.34749896651511
27 BatchMLAPagedAttentionWrapper 16 4096 128 512 64 0.2629478400000002 296.0920614521874 69.41913273750409
28 BatchMLAPagedAttentionWrapper 16 8192 128 512 64 0.3962367999999998 387.02674764181444 92.13485980100793
29 BatchMLAPagedAttentionWrapper 16 16384 128 512 64 0.7528985599999998 404.23663979381246 96.97779742333418
30 BatchMLAPagedAttentionWrapper 64 1024 128 512 64 0.3242547199999998 261.9380714026308 56.29404872811108
31 BatchMLAPagedAttentionWrapper 64 4096 128 512 64 1.1793126399999994 264.07507342582215 61.91271216426548
32 BatchMLAPagedAttentionWrapper 64 8192 128 512 64 2.3186406399999986 264.55887532446616 62.98038839860932
33 BatchMLAPagedAttentionWrapper 64 16384 128 512 64 4.6020608 264.53295358462015 63.462389746784744

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@ -1,33 +0,0 @@
api,batch_size,seq_len,num_qo_heads,num_kv_heads,head_dim,time_ms,bandwidth_GB_s,tflops
BatchPrefillWithPagedKVCacheWrapper,1,1024,32,4,128,0.3529011200000001,29.71302556364796,24.34091054174041
BatchPrefillWithPagedKVCacheWrapper,1,4096,32,4,128,4.62532608,9.068126068205768,29.714435500296666
BatchPrefillWithPagedKVCacheWrapper,1,8192,32,4,128,18.113853439999996,4.631045529757804,30.350019983820744
BatchPrefillWithPagedKVCacheWrapper,1,16384,32,4,128,71.05519616000001,2.36115258372119,30.948099145350383
BatchPrefillWithPagedKVCacheWrapper,4,1024,32,4,128,1.2374374399999997,33.89507917264893,27.766848858234006
BatchPrefillWithPagedKVCacheWrapper,4,4096,32,4,128,17.896878079999997,9.374381344614939,30.71797279003423
BatchPrefillWithPagedKVCacheWrapper,4,8192,32,4,128,71.25501952,4.709062214288198,30.861310127559136
BatchPrefillWithPagedKVCacheWrapper,4,16384,32,4,128,283.27072767999994,2.3690716139159393,31.051895457919
BatchPrefillWithPagedKVCacheWrapper,16,1024,32,4,128,4.752537600000002,35.301595509733566,28.919067041573737
BatchPrefillWithPagedKVCacheWrapper,16,4096,32,4,128,70.51405312000001,9.517090711803915,31.185602844439067
BatchPrefillWithPagedKVCacheWrapper,16,8192,32,4,128,284.16772266666663,4.723186952426669,30.953878011423416
BatchPrefillWithPagedKVCacheWrapper,16,16384,32,4,128,1129.139136,2.377346134250013,31.160351250841774
BatchPrefillWithPagedKVCacheWrapper,64,1024,32,4,128,18.757478399999997,35.77712449878125,29.3086203894016
BatchPrefillWithPagedKVCacheWrapper,64,4096,32,4,128,281.4907093333333,9.536210151864244,31.248253425628754
BatchPrefillWithPagedKVCacheWrapper,64,8192,32,4,128,1134.7048106666668,4.731370722616177,31.007511167737377
BatchPrefillWithPagedKVCacheWrapper,64,16384,32,4,128,4514.139178666666,2.378619226173592,31.177037921302507
BatchPrefillWithPagedKVCacheWrapper,1,1024,32,4,256,0.7928422399999997,26.4510629504301,21.668710768992337
BatchPrefillWithPagedKVCacheWrapper,1,4096,32,4,256,12.533002240000002,6.69321511267838,21.932327281224513
BatchPrefillWithPagedKVCacheWrapper,1,8192,32,4,256,49.81321727999999,3.368024977325858,22.072688491402744
BatchPrefillWithPagedKVCacheWrapper,1,16384,32,4,256,190.01136128,1.765917141688929,23.14622915954513
BatchPrefillWithPagedKVCacheWrapper,4,1024,32,4,256,3.111116800000001,26.963333552761494,22.088362846422218
BatchPrefillWithPagedKVCacheWrapper,4,4096,32,4,256,47.738091520000026,7.02885912101079,23.032165567728153
BatchPrefillWithPagedKVCacheWrapper,4,8192,32,4,256,190.14286336,3.529391680241077,23.130221315627924
BatchPrefillWithPagedKVCacheWrapper,4,16384,32,4,256,759.6848640000004,1.76675532658763,23.157215416649382
BatchPrefillWithPagedKVCacheWrapper,16,1024,32,4,256,12.28442624,27.31461066593534,22.376129057534232
BatchPrefillWithPagedKVCacheWrapper,16,4096,32,4,256,191.34602666666663,7.014398487291994,22.984780963158407
BatchPrefillWithPagedKVCacheWrapper,16,8192,32,4,256,759.7649706666668,3.5331380935403933,23.15477380982632
BatchPrefillWithPagedKVCacheWrapper,16,16384,32,4,256,3028.668266666667,1.77263029400997,23.234219789647476
BatchPrefillWithPagedKVCacheWrapper,64,1024,32,4,256,49.26948266666667,27.241554149868346,22.316281159572153
BatchPrefillWithPagedKVCacheWrapper,64,4096,32,4,256,763.6229333333335,7.030576067909256,23.037791659325052
BatchPrefillWithPagedKVCacheWrapper,64,8192,32,4,256,3037.7449386666663,3.534667477616765,23.16479678130923
BatchPrefillWithPagedKVCacheWrapper,64,16384,32,4,256,12110.653866666667,1.7732185822854112,23.241930601731337
1 api batch_size seq_len num_qo_heads num_kv_heads head_dim time_ms bandwidth_GB_s tflops
2 BatchPrefillWithPagedKVCacheWrapper 1 1024 32 4 128 0.3529011200000001 29.71302556364796 24.34091054174041
3 BatchPrefillWithPagedKVCacheWrapper 1 4096 32 4 128 4.62532608 9.068126068205768 29.714435500296666
4 BatchPrefillWithPagedKVCacheWrapper 1 8192 32 4 128 18.113853439999996 4.631045529757804 30.350019983820744
5 BatchPrefillWithPagedKVCacheWrapper 1 16384 32 4 128 71.05519616000001 2.36115258372119 30.948099145350383
6 BatchPrefillWithPagedKVCacheWrapper 4 1024 32 4 128 1.2374374399999997 33.89507917264893 27.766848858234006
7 BatchPrefillWithPagedKVCacheWrapper 4 4096 32 4 128 17.896878079999997 9.374381344614939 30.71797279003423
8 BatchPrefillWithPagedKVCacheWrapper 4 8192 32 4 128 71.25501952 4.709062214288198 30.861310127559136
9 BatchPrefillWithPagedKVCacheWrapper 4 16384 32 4 128 283.27072767999994 2.3690716139159393 31.051895457919
10 BatchPrefillWithPagedKVCacheWrapper 16 1024 32 4 128 4.752537600000002 35.301595509733566 28.919067041573737
11 BatchPrefillWithPagedKVCacheWrapper 16 4096 32 4 128 70.51405312000001 9.517090711803915 31.185602844439067
12 BatchPrefillWithPagedKVCacheWrapper 16 8192 32 4 128 284.16772266666663 4.723186952426669 30.953878011423416
13 BatchPrefillWithPagedKVCacheWrapper 16 16384 32 4 128 1129.139136 2.377346134250013 31.160351250841774
14 BatchPrefillWithPagedKVCacheWrapper 64 1024 32 4 128 18.757478399999997 35.77712449878125 29.3086203894016
15 BatchPrefillWithPagedKVCacheWrapper 64 4096 32 4 128 281.4907093333333 9.536210151864244 31.248253425628754
16 BatchPrefillWithPagedKVCacheWrapper 64 8192 32 4 128 1134.7048106666668 4.731370722616177 31.007511167737377
17 BatchPrefillWithPagedKVCacheWrapper 64 16384 32 4 128 4514.139178666666 2.378619226173592 31.177037921302507
18 BatchPrefillWithPagedKVCacheWrapper 1 1024 32 4 256 0.7928422399999997 26.4510629504301 21.668710768992337
19 BatchPrefillWithPagedKVCacheWrapper 1 4096 32 4 256 12.533002240000002 6.69321511267838 21.932327281224513
20 BatchPrefillWithPagedKVCacheWrapper 1 8192 32 4 256 49.81321727999999 3.368024977325858 22.072688491402744
21 BatchPrefillWithPagedKVCacheWrapper 1 16384 32 4 256 190.01136128 1.765917141688929 23.14622915954513
22 BatchPrefillWithPagedKVCacheWrapper 4 1024 32 4 256 3.111116800000001 26.963333552761494 22.088362846422218
23 BatchPrefillWithPagedKVCacheWrapper 4 4096 32 4 256 47.738091520000026 7.02885912101079 23.032165567728153
24 BatchPrefillWithPagedKVCacheWrapper 4 8192 32 4 256 190.14286336 3.529391680241077 23.130221315627924
25 BatchPrefillWithPagedKVCacheWrapper 4 16384 32 4 256 759.6848640000004 1.76675532658763 23.157215416649382
26 BatchPrefillWithPagedKVCacheWrapper 16 1024 32 4 256 12.28442624 27.31461066593534 22.376129057534232
27 BatchPrefillWithPagedKVCacheWrapper 16 4096 32 4 256 191.34602666666663 7.014398487291994 22.984780963158407
28 BatchPrefillWithPagedKVCacheWrapper 16 8192 32 4 256 759.7649706666668 3.5331380935403933 23.15477380982632
29 BatchPrefillWithPagedKVCacheWrapper 16 16384 32 4 256 3028.668266666667 1.77263029400997 23.234219789647476
30 BatchPrefillWithPagedKVCacheWrapper 64 1024 32 4 256 49.26948266666667 27.241554149868346 22.316281159572153
31 BatchPrefillWithPagedKVCacheWrapper 64 4096 32 4 256 763.6229333333335 7.030576067909256 23.037791659325052
32 BatchPrefillWithPagedKVCacheWrapper 64 8192 32 4 256 3037.7449386666663 3.534667477616765 23.16479678130923
33 BatchPrefillWithPagedKVCacheWrapper 64 16384 32 4 256 12110.653866666667 1.7732185822854112 23.241930601731337

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@ -1,49 +0,0 @@
api,batch_size,seq_len,num_qo_heads,num_kv_heads,head_dim_qk,head_dim_vo,time_ms,bandwidth_GB_s,tflops
BatchPrefillWithRaggedKVCacheWrapper,1,1024,32,4,128,128,0.031580159999999996,66.66666666666667,272.00415045395596
BatchPrefillWithRaggedKVCacheWrapper,1,4096,32,4,128,128,0.0424448,197.82870928829917,3238.0634016887816
BatchPrefillWithRaggedKVCacheWrapper,1,8192,32,4,128,128,0.057313279999999994,292.871180989816,9592.119206717885
BatchPrefillWithRaggedKVCacheWrapper,1,16384,32,4,128,128,0.06972416000000001,481.36290204141574,31538.89922161844
BatchPrefillWithRaggedKVCacheWrapper,4,1024,32,4,128,128,0.04327423999999998,194.60482725982024,793.9998106956938
BatchPrefillWithRaggedKVCacheWrapper,4,4096,32,4,128,128,0.06579199999999998,510.5058365758757,8355.967501945528
BatchPrefillWithRaggedKVCacheWrapper,4,8192,32,4,128,128,0.09618432000000002,698.0517406579366,22862.596060896405
BatchPrefillWithRaggedKVCacheWrapper,4,16384,32,4,128,128,0.15411199999999997,871.12292358804,57075.97735548174
BatchPrefillWithRaggedKVCacheWrapper,16,1024,32,4,128,128,0.07452671999999999,451.99230557845567,1844.1567463588901
BatchPrefillWithRaggedKVCacheWrapper,16,4096,32,4,128,128,0.1668906666666667,805.0108653969065,13176.43041083983
BatchPrefillWithRaggedKVCacheWrapper,16,8192,32,4,128,128,0.2874026666666667,934.46080760095,30605.46766745843
BatchPrefillWithRaggedKVCacheWrapper,16,16384,32,4,128,128,0.5342506666666667,1005.1498622369525,65857.42289917343
BatchPrefillWithRaggedKVCacheWrapper,64,1024,32,4,128,128,0.15733333333333333,856.4111186440679,3494.2106814915255
BatchPrefillWithRaggedKVCacheWrapper,64,4096,32,4,128,128,0.5614719999999999,957.1184315513509,15666.129428017784
BatchPrefillWithRaggedKVCacheWrapper,64,8192,32,4,128,128,1.1031466666666667,973.8198414233224,31894.55505055115
BatchPrefillWithRaggedKVCacheWrapper,64,16384,32,4,128,128,2.1813759999999998,984.7032038493136,64517.75776176505
BatchPrefillWithRaggedKVCacheWrapper,1,1024,32,4,192,128,0.03564544000000001,73.88681413386956,301.22838264866414
BatchPrefillWithRaggedKVCacheWrapper,1,4096,32,4,192,128,0.04922368,213.27231121281466,3490.1635115456625
BatchPrefillWithRaggedKVCacheWrapper,1,8192,32,4,192,128,0.061327359999999984,342.16062781766584,11205.353815328106
BatchPrefillWithRaggedKVCacheWrapper,1,16384,32,4,192,128,0.08377343999999999,500.8189707859675,32812.059161471705
BatchPrefillWithRaggedKVCacheWrapper,4,1024,32,4,192,128,0.049623040000000056,212.29880313660726,865.5187783739157
BatchPrefillWithRaggedKVCacheWrapper,4,4096,32,4,192,128,0.08634367999999998,486.3377609108161,7958.831119544594
BatchPrefillWithRaggedKVCacheWrapper,4,8192,32,4,192,128,0.13644799999999999,615.1444652908068,20145.249981238278
BatchPrefillWithRaggedKVCacheWrapper,4,16384,32,4,192,128,0.2321706666666666,722.8359827253516,47357.904577781876
BatchPrefillWithRaggedKVCacheWrapper,16,1024,32,4,192,128,0.09042944,465.99479107688825,1899.8093081191257
BatchPrefillWithRaggedKVCacheWrapper,16,4096,32,4,192,128,0.3087573333333334,544.0154770952807,8902.716705589717
BatchPrefillWithRaggedKVCacheWrapper,16,8192,32,4,192,128,0.5995946666666665,559.9464882943145,18337.58185156195
BatchPrefillWithRaggedKVCacheWrapper,16,16384,32,4,192,128,1.1809706666666668,568.4182232017052,37240.94624227753
BatchPrefillWithRaggedKVCacheWrapper,64,1024,32,4,192,128,0.2555306666666667,659.6413424611787,2689.2849156787443
BatchPrefillWithRaggedKVCacheWrapper,64,4096,32,4,192,128,0.9085866666666667,739.472740079831,12101.340115520075
BatchPrefillWithRaggedKVCacheWrapper,64,8192,32,4,192,128,1.7810773333333334,754.017631276351,24693.1810808739
BatchPrefillWithRaggedKVCacheWrapper,64,16384,32,4,192,128,3.5260586666666662,761.5134193267346,49891.92667360423
BatchPrefillWithRaggedKVCacheWrapper,1,1024,32,4,256,256,0.044037119999999964,95.61678874549479,390.12245087780525
BatchPrefillWithRaggedKVCacheWrapper,1,4096,32,4,256,256,0.08118271999999997,206.86175580222005,3385.916448032292
BatchPrefillWithRaggedKVCacheWrapper,1,8192,32,4,256,256,0.11204607999999996,299.6161579235972,9813.030743922503
BatchPrefillWithRaggedKVCacheWrapper,1,16384,32,4,256,256,0.14619648000000002,459.1440778875113,30083.12177628353
BatchPrefillWithRaggedKVCacheWrapper,4,1024,32,4,256,256,0.07792639999999999,216.1366622864652,881.8510381077531
BatchPrefillWithRaggedKVCacheWrapper,4,4096,32,4,256,256,0.13784064000000001,487.3337790654483,7976.686902904687
BatchPrefillWithRaggedKVCacheWrapper,4,8192,32,4,256,256,0.22408533333333336,599.2505712109672,19626.65938766184
BatchPrefillWithRaggedKVCacheWrapper,4,16384,32,4,256,256,0.3959893333333334,678.0510720827496,44425.908890852275
BatchPrefillWithRaggedKVCacheWrapper,16,1024,32,4,256,256,0.15150079999999996,444.6907739101049,1814.366042581954
BatchPrefillWithRaggedKVCacheWrapper,16,4096,32,4,256,256,0.4274346666666664,628.6284687562392,10289.400589339195
BatchPrefillWithRaggedKVCacheWrapper,16,8192,32,4,256,256,0.7913173333333334,678.7833823093305,22231.518637802277
BatchPrefillWithRaggedKVCacheWrapper,16,16384,32,4,256,256,1.5360853333333337,699.1824898616742,45810.43946625186
BatchPrefillWithRaggedKVCacheWrapper,64,1024,32,4,256,256,0.43906133333333336,613.773091686507,2504.2324256352945
BatchPrefillWithRaggedKVCacheWrapper,64,4096,32,4,256,256,1.6363946666666664,656.8039006075145,10750.576497692491
BatchPrefillWithRaggedKVCacheWrapper,64,8192,32,4,256,256,3.234005333333333,664.3564257160574,21759.006842803803
BatchPrefillWithRaggedKVCacheWrapper,64,16384,32,4,256,256,6.420821333333334,669.0757535484556,43837.84598543405
1 api batch_size seq_len num_qo_heads num_kv_heads head_dim_qk head_dim_vo time_ms bandwidth_GB_s tflops
2 BatchPrefillWithRaggedKVCacheWrapper 1 1024 32 4 128 128 0.031580159999999996 66.66666666666667 272.00415045395596
3 BatchPrefillWithRaggedKVCacheWrapper 1 4096 32 4 128 128 0.0424448 197.82870928829917 3238.0634016887816
4 BatchPrefillWithRaggedKVCacheWrapper 1 8192 32 4 128 128 0.057313279999999994 292.871180989816 9592.119206717885
5 BatchPrefillWithRaggedKVCacheWrapper 1 16384 32 4 128 128 0.06972416000000001 481.36290204141574 31538.89922161844
6 BatchPrefillWithRaggedKVCacheWrapper 4 1024 32 4 128 128 0.04327423999999998 194.60482725982024 793.9998106956938
7 BatchPrefillWithRaggedKVCacheWrapper 4 4096 32 4 128 128 0.06579199999999998 510.5058365758757 8355.967501945528
8 BatchPrefillWithRaggedKVCacheWrapper 4 8192 32 4 128 128 0.09618432000000002 698.0517406579366 22862.596060896405
9 BatchPrefillWithRaggedKVCacheWrapper 4 16384 32 4 128 128 0.15411199999999997 871.12292358804 57075.97735548174
10 BatchPrefillWithRaggedKVCacheWrapper 16 1024 32 4 128 128 0.07452671999999999 451.99230557845567 1844.1567463588901
11 BatchPrefillWithRaggedKVCacheWrapper 16 4096 32 4 128 128 0.1668906666666667 805.0108653969065 13176.43041083983
12 BatchPrefillWithRaggedKVCacheWrapper 16 8192 32 4 128 128 0.2874026666666667 934.46080760095 30605.46766745843
13 BatchPrefillWithRaggedKVCacheWrapper 16 16384 32 4 128 128 0.5342506666666667 1005.1498622369525 65857.42289917343
14 BatchPrefillWithRaggedKVCacheWrapper 64 1024 32 4 128 128 0.15733333333333333 856.4111186440679 3494.2106814915255
15 BatchPrefillWithRaggedKVCacheWrapper 64 4096 32 4 128 128 0.5614719999999999 957.1184315513509 15666.129428017784
16 BatchPrefillWithRaggedKVCacheWrapper 64 8192 32 4 128 128 1.1031466666666667 973.8198414233224 31894.55505055115
17 BatchPrefillWithRaggedKVCacheWrapper 64 16384 32 4 128 128 2.1813759999999998 984.7032038493136 64517.75776176505
18 BatchPrefillWithRaggedKVCacheWrapper 1 1024 32 4 192 128 0.03564544000000001 73.88681413386956 301.22838264866414
19 BatchPrefillWithRaggedKVCacheWrapper 1 4096 32 4 192 128 0.04922368 213.27231121281466 3490.1635115456625
20 BatchPrefillWithRaggedKVCacheWrapper 1 8192 32 4 192 128 0.061327359999999984 342.16062781766584 11205.353815328106
21 BatchPrefillWithRaggedKVCacheWrapper 1 16384 32 4 192 128 0.08377343999999999 500.8189707859675 32812.059161471705
22 BatchPrefillWithRaggedKVCacheWrapper 4 1024 32 4 192 128 0.049623040000000056 212.29880313660726 865.5187783739157
23 BatchPrefillWithRaggedKVCacheWrapper 4 4096 32 4 192 128 0.08634367999999998 486.3377609108161 7958.831119544594
24 BatchPrefillWithRaggedKVCacheWrapper 4 8192 32 4 192 128 0.13644799999999999 615.1444652908068 20145.249981238278
25 BatchPrefillWithRaggedKVCacheWrapper 4 16384 32 4 192 128 0.2321706666666666 722.8359827253516 47357.904577781876
26 BatchPrefillWithRaggedKVCacheWrapper 16 1024 32 4 192 128 0.09042944 465.99479107688825 1899.8093081191257
27 BatchPrefillWithRaggedKVCacheWrapper 16 4096 32 4 192 128 0.3087573333333334 544.0154770952807 8902.716705589717
28 BatchPrefillWithRaggedKVCacheWrapper 16 8192 32 4 192 128 0.5995946666666665 559.9464882943145 18337.58185156195
29 BatchPrefillWithRaggedKVCacheWrapper 16 16384 32 4 192 128 1.1809706666666668 568.4182232017052 37240.94624227753
30 BatchPrefillWithRaggedKVCacheWrapper 64 1024 32 4 192 128 0.2555306666666667 659.6413424611787 2689.2849156787443
31 BatchPrefillWithRaggedKVCacheWrapper 64 4096 32 4 192 128 0.9085866666666667 739.472740079831 12101.340115520075
32 BatchPrefillWithRaggedKVCacheWrapper 64 8192 32 4 192 128 1.7810773333333334 754.017631276351 24693.1810808739
33 BatchPrefillWithRaggedKVCacheWrapper 64 16384 32 4 192 128 3.5260586666666662 761.5134193267346 49891.92667360423
34 BatchPrefillWithRaggedKVCacheWrapper 1 1024 32 4 256 256 0.044037119999999964 95.61678874549479 390.12245087780525
35 BatchPrefillWithRaggedKVCacheWrapper 1 4096 32 4 256 256 0.08118271999999997 206.86175580222005 3385.916448032292
36 BatchPrefillWithRaggedKVCacheWrapper 1 8192 32 4 256 256 0.11204607999999996 299.6161579235972 9813.030743922503
37 BatchPrefillWithRaggedKVCacheWrapper 1 16384 32 4 256 256 0.14619648000000002 459.1440778875113 30083.12177628353
38 BatchPrefillWithRaggedKVCacheWrapper 4 1024 32 4 256 256 0.07792639999999999 216.1366622864652 881.8510381077531
39 BatchPrefillWithRaggedKVCacheWrapper 4 4096 32 4 256 256 0.13784064000000001 487.3337790654483 7976.686902904687
40 BatchPrefillWithRaggedKVCacheWrapper 4 8192 32 4 256 256 0.22408533333333336 599.2505712109672 19626.65938766184
41 BatchPrefillWithRaggedKVCacheWrapper 4 16384 32 4 256 256 0.3959893333333334 678.0510720827496 44425.908890852275
42 BatchPrefillWithRaggedKVCacheWrapper 16 1024 32 4 256 256 0.15150079999999996 444.6907739101049 1814.366042581954
43 BatchPrefillWithRaggedKVCacheWrapper 16 4096 32 4 256 256 0.4274346666666664 628.6284687562392 10289.400589339195
44 BatchPrefillWithRaggedKVCacheWrapper 16 8192 32 4 256 256 0.7913173333333334 678.7833823093305 22231.518637802277
45 BatchPrefillWithRaggedKVCacheWrapper 16 16384 32 4 256 256 1.5360853333333337 699.1824898616742 45810.43946625186
46 BatchPrefillWithRaggedKVCacheWrapper 64 1024 32 4 256 256 0.43906133333333336 613.773091686507 2504.2324256352945
47 BatchPrefillWithRaggedKVCacheWrapper 64 4096 32 4 256 256 1.6363946666666664 656.8039006075145 10750.576497692491
48 BatchPrefillWithRaggedKVCacheWrapper 64 8192 32 4 256 256 3.234005333333333 664.3564257160574 21759.006842803803
49 BatchPrefillWithRaggedKVCacheWrapper 64 16384 32 4 256 256 6.420821333333334 669.0757535484556 43837.84598543405

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{
"id": 193,
"displayId": 20001,
"type": "Traditional",
"isPublic": false,
"locales": [
"zh_CN"
],
"samples": [
{
"inputData": "1\n",
"outputData": ""
}
],
"problemTagIds": []
}

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@ -1,307 +0,0 @@
from __future__ import annotations
HEAD_DIM_CONFIGS = [(128, 128)]
BATCH_SIZES = [1, 4, 16]
SEQ_LENS = [1024, 4096, 8192, 16384]
NUM_QO_HEADS = 32
NUM_KV_HEADS = 4
CAUSAL = 1
def _build_cases():
cases = []
for head_dim_qk, head_dim_vo in HEAD_DIM_CONFIGS:
for batch_size in BATCH_SIZES:
for seq_len in SEQ_LENS:
cases.append(
(
batch_size,
seq_len,
NUM_QO_HEADS,
NUM_KV_HEADS,
head_dim_qk,
head_dim_vo,
CAUSAL,
)
)
return cases
TESTCASES = _build_cases()
def getNumOfTestcases() -> int:
return len(TESTCASES)
try:
from pathlib import Path
from typing import List, Tuple, Union
import sys
import torch
KernelArg = Union[torch.Tensor, int, float]
CURRENT_CASE = None
def _ensure_flashinfer_importable():
try:
import flashinfer # noqa: F401
return
except ImportError:
pass
here = Path(__file__).resolve()
for parent in here.parents:
candidate = parent / "McFlashInfer"
if (candidate / "flashinfer").is_dir():
sys.path.insert(0, str(candidate))
return
def _get_testcase_index() -> int:
try:
raw = input().strip()
except EOFError:
return 0
if raw == "":
return 0
try:
testcase_id = int(raw.split()[0])
except ValueError:
return 0
if 1 <= testcase_id <= len(TESTCASES):
return testcase_id - 1
if 0 <= testcase_id < len(TESTCASES):
return testcase_id
return 0
def _compute_reps(batch_size: int, seq_len: int, head_dim: int, base_reps: int = 100) -> int:
workload = batch_size * seq_len * head_dim
if workload < 1e5:
return base_reps
if workload < 1e6:
return base_reps // 2
if workload < 1e7:
return base_reps // 4
if workload < 1e8:
return base_reps // 8
if workload < 1e9:
return base_reps // 16
return base_reps // 32
def getTestCaseSize() -> Tuple[List[Tuple[int, ...]], Tuple[int, int]]:
testcase_id = _get_testcase_index()
global CURRENT_CASE
batch_size, seq_len, num_qo_heads, num_kv_heads, head_dim_qk, head_dim_vo, causal = TESTCASES[testcase_id]
CURRENT_CASE = (
batch_size,
seq_len,
num_qo_heads,
num_kv_heads,
head_dim_qk,
head_dim_vo,
causal,
20260610 + testcase_id,
)
qo_len = batch_size * seq_len
kv_len = batch_size * seq_len
warmup = 3
iters = max(1, _compute_reps(batch_size, seq_len, head_dim_qk + head_dim_vo))
return [
(qo_len, num_qo_heads, head_dim_qk),
(kv_len, num_kv_heads, head_dim_qk),
(kv_len, num_kv_heads, head_dim_vo),
(qo_len, num_qo_heads, head_dim_vo),
(batch_size + 1,),
(batch_size + 1,),
(), (), (), (), (), (), (),
], (warmup, iters)
def genTestCase(testcase_sizes, device: str = "cuda") -> List[KernelArg]:
del testcase_sizes
batch_size, seq_len, num_qo_heads, num_kv_heads, head_dim_qk, head_dim_vo, causal, seed = CURRENT_CASE
gen = torch.Generator(device=device)
gen.manual_seed(seed)
dtype = torch.bfloat16
qo_len = batch_size * seq_len
q = torch.rand(
qo_len,
num_qo_heads,
head_dim_qk,
dtype=dtype,
device=device,
generator=gen,
).contiguous()
kv_len = batch_size * seq_len
k = torch.rand(
kv_len,
num_kv_heads,
head_dim_qk,
dtype=dtype,
device=device,
generator=gen,
).contiguous()
v = torch.rand(
kv_len,
num_kv_heads,
head_dim_vo,
dtype=dtype,
device=device,
generator=gen,
).contiguous()
output = torch.empty(
qo_len,
num_qo_heads,
head_dim_vo,
dtype=dtype,
device=device,
)
qo_indptr = torch.arange(0, batch_size + 1, dtype=torch.int32, device=device) * seq_len
kv_indptr = qo_indptr.clone()
return [
q,
k,
v,
output,
qo_indptr,
kv_indptr,
batch_size,
seq_len,
num_qo_heads,
num_kv_heads,
head_dim_qk,
head_dim_vo,
causal,
]
def baseline(
q,
k,
v,
output,
qo_indptr,
kv_indptr,
batch_size,
seq_len,
num_qo_heads,
num_kv_heads,
head_dim_qk,
head_dim_vo,
causal,
):
_ensure_flashinfer_importable()
import flashinfer
workspace_buffer = torch.empty(128 * 1024 * 1024, dtype=torch.uint8, device=q.device)
wrapper = flashinfer.BatchPrefillWithRaggedKVCacheWrapper(
workspace_buffer,
kv_layout="NHD",
backend="auto",
)
wrapper.plan(
qo_indptr,
kv_indptr,
int(num_qo_heads),
int(num_kv_heads),
int(head_dim_qk),
int(head_dim_vo),
causal=bool(causal),
q_data_type=torch.bfloat16,
kv_data_type=torch.bfloat16,
)
wrapper.run(q, k, v, out=output)
return [
q,
k,
v,
output,
qo_indptr,
kv_indptr,
batch_size,
seq_len,
num_qo_heads,
num_kv_heads,
head_dim_qk,
head_dim_vo,
causal,
]
def check(
testcase_sizes,
original_input_tensors,
target_kernel_input_tensors,
baseline_input_tensors,
rtol=1e-2,
atol=1e-2,
) -> bool:
del testcase_sizes, original_input_tensors
output_t = target_kernel_input_tensors[3]
output_ref = baseline_input_tensors[3]
if output_t.shape != output_ref.shape:
print(f"[FAIL] shape mismatch: target {output_t.shape}, ref {output_ref.shape}", file=sys.stderr)
return False
if output_t.dtype != output_ref.dtype:
print(f"[FAIL] dtype mismatch: target {output_t.dtype}, ref {output_ref.dtype}", file=sys.stderr)
return False
if not torch.allclose(output_t.float(), output_ref.float(), rtol=rtol, atol=atol):
diff = (output_t.float() - output_ref.float()).abs()
print(
f"[FAIL] allclose failed: max_abs_diff={float(diff.max().item()):.6f}, "
f"mean_abs_diff={float(diff.mean().item()):.6f} (rtol={rtol}, atol={atol})",
file=sys.stderr,
)
return False
return True
except Exception:
pass
INPUT_CLASS = [
"INPUT",
"INPUT",
"INPUT",
"OUTPUT",
"INPUT",
"INPUT",
"INPUT",
"INPUT",
"INPUT",
"INPUT",
"INPUT",
"INPUT",
"INPUT",
]
def getWorkload(testcase_sizes) -> dict:
raw_sizes = testcase_sizes[0] if isinstance(testcase_sizes, tuple) and len(testcase_sizes) == 2 else testcase_sizes
q_shape, k_shape, v_shape, output_shape, qo_indptr_shape, kv_indptr_shape = raw_sizes[:6]
qo_len, num_qo_heads, head_dim_qk = q_shape
kv_len, num_kv_heads, k_dim = k_shape
v_len, v_heads, head_dim_vo = v_shape
assert k_dim == head_dim_qk
assert v_len == kv_len
assert v_heads == num_kv_heads
assert qo_len == kv_len
assert output_shape == (qo_len, num_qo_heads, head_dim_vo)
assert qo_indptr_shape == kv_indptr_shape
batch_size = qo_indptr_shape[0] - 1
seq_len = kv_len // batch_size
flops = batch_size * seq_len * seq_len * num_qo_heads * (head_dim_qk + head_dim_vo)
memory_bytes = (
qo_len * num_qo_heads * head_dim_qk * 2
+ kv_len * num_kv_heads * head_dim_qk * 2
+ kv_len * num_kv_heads * head_dim_vo * 2
+ qo_len * num_qo_heads * head_dim_vo * 2
+ (batch_size + 1) * 4 * 2
)
return {
"flops": flops,
"memory_bytes": memory_bytes,
"dtype": "bf16",
}
DESIGNED_VRAM_SIZE = 48

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---
sectionTitle: "题目描述"
type: "Text"
---
你需要实现 FlashInfer ragged KV cache prefill 的CUDA C++前向算子。
本题输入采用 FlashInfer `BatchPrefillWithRaggedKVCacheWrapper` 的 ragged `NHD` 布局。每个 batch 中有 `seq_len` 个 query tokenKV cache 中也有 `seq_len` 个 token
其中 query heads 采用 GQA 布局:`num_qo_heads` 个 query/output heads 共享 `num_kv_heads` 个 KV heads`G = num_qo_heads / num_kv_heads`。
评测程序会调用你提交代码中的 `run_kernel` 函数。你需要根据 `qo_indptr``kv_indptr` 读取 ragged Q/K/V并将结果写入 `output`
baseline 使用 FlashInfer ragged prefill 的 Python API
```python
wrapper = flashinfer.BatchPrefillWithRaggedKVCacheWrapper(workspace, kv_layout="NHD", backend="auto")
wrapper.plan(qo_indptr, kv_indptr, num_qo_heads, num_kv_heads,
head_dim_qk, head_dim_vo, causal=True,
q_data_type=torch.bfloat16, kv_data_type=torch.bfloat16)
wrapper.run(q, k, v, out=output)
```
如何提交代码详见[评测指南](/d/2)。

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---
sectionTitle: "接口约定"
type: "codeSample"
lang: "cuda"
---
你必须在提交的 CUDA 源码中提供如下 **C 符号**,函数名、参数类型、顺序必须完全一致,并使用 `extern "C"` 防止 name mangling
```cpp
#include <stdint.h>
#include <cuda_bf16.h>
extern "C" void run_kernel(
const __nv_bfloat16* q,
const __nv_bfloat16* k,
const __nv_bfloat16* v,
__nv_bfloat16* output,
const int32_t* qo_indptr,
const int32_t* kv_indptr,
int64_t batch_size,
int64_t seq_len,
int64_t num_qo_heads,
int64_t num_kv_heads,
int64_t head_dim_qk,
int64_t head_dim_vo,
int64_t causal
);
```
### 参数说明
* `q`query tensorshape `(batch_size * seq_len, num_qo_heads, head_dim_qk)`,连续 `bf16`
* `k`key tensorshape `(batch_size * seq_len, num_kv_heads, head_dim_qk)`,连续 `bf16`
* `v`value tensorshape `(batch_size * seq_len, num_kv_heads, head_dim_vo)`,连续 `bf16`
* `output`输出缓冲区shape `(batch_size * seq_len, num_qo_heads, head_dim_vo)`,连续 `bf16`
* `qo_indptr`query/output ragged indptrshape `(batch_size + 1)`,连续 `int32`
* `kv_indptr`KV ragged indptrshape `(batch_size + 1)`,连续 `int32`
* `causal`:是否启用 causal mask评测中固定为 `1`
本题测试中 `qo_indptr[b + 1] - qo_indptr[b] == seq_len``kv_indptr[b + 1] - kv_indptr[b] == seq_len`。
`run_kernel` 内部需要自行计算合适的 launch 配置并启动 CUDA kernel。为保证计时准确不建议在 `run_kernel` 内部做 `cudaDeviceSynchronize()` 或显式同步。

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---
sectionTitle: "接口约定"
type: "codeSample"
lang: "tilelang"
---
你必须在提交的 Python 代码中提供 `run_kernel` 函数,函数名、参数顺序、类型必须完全一致:
```python
import tilelang
import tilelang.language as T
from tilelang import jit
real_kernel = None
@jit
def build_kernel(*args):
@T.prim_func
def kernel(*args):
...
return kernel
def run_kernel(
q, # Tensor[bf16], shape (batch_size * seq_len, num_qo_heads, head_dim_qk)
k, # Tensor[bf16], shape (batch_size * seq_len, num_kv_heads, head_dim_qk)
v, # Tensor[bf16], shape (batch_size * seq_len, num_kv_heads, head_dim_vo)
output, # Tensor[bf16], shape (batch_size * seq_len, num_qo_heads, head_dim_vo)
qo_indptr, # Tensor[int32], shape (batch_size + 1)
kv_indptr, # Tensor[int32], shape (batch_size + 1)
batch_size, # int64
seq_len, # int64
num_qo_heads, # int64
num_kv_heads, # int64
head_dim_qk, # int64
head_dim_vo, # int64
causal, # int64
):
global real_kernel
if real_kernel is None:
real_kernel = build_kernel(...)
real_kernel(q, k, v, output, qo_indptr, kv_indptr,
batch_size, seq_len, num_qo_heads, num_kv_heads,
head_dim_qk, head_dim_vo, causal)
```
### 参数说明
* `q/k/v`FlashInfer ragged prefill 输入 tensor连续 `bfloat16`
* `output`:输出缓冲区,连续 `bfloat16`,需要写入结果
* `qo_indptr/kv_indptr`ragged indptr连续 `int32`
* `causal`:是否启用 causal mask评测中固定为 `1`
`run_kernel` 内部需要自行计算合适的 grid/block并 launch 你实现的 TileLang kernel。

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---
sectionTitle: "接口约定"
type: "codeSample"
lang: "triton"
---
你必须在提交的 Python 代码中提供 `run_kernel` 函数,函数名、参数顺序、类型必须完全一致:
```python
import triton
import triton.language as tl
@triton.jit
def your_kernel(...):
...
def run_kernel(
q, # Tensor[bf16], shape (batch_size * seq_len, num_qo_heads, head_dim_qk)
k, # Tensor[bf16], shape (batch_size * seq_len, num_kv_heads, head_dim_qk)
v, # Tensor[bf16], shape (batch_size * seq_len, num_kv_heads, head_dim_vo)
output, # Tensor[bf16], shape (batch_size * seq_len, num_qo_heads, head_dim_vo)
qo_indptr, # Tensor[int32], shape (batch_size + 1)
kv_indptr, # Tensor[int32], shape (batch_size + 1)
batch_size, # int64
seq_len, # int64
num_qo_heads, # int64
num_kv_heads, # int64
head_dim_qk, # int64
head_dim_vo, # int64
causal, # int64
):
...
```
### 参数说明
* `q/k/v`FlashInfer ragged prefill 输入 tensor连续 `bfloat16`
* `output`:输出缓冲区,连续 `bfloat16`,需要写入结果
* `qo_indptr/kv_indptr`ragged indptr连续 `int32`
* `causal`:是否启用 causal mask评测中固定为 `1`
`run_kernel` 内部需要自行计算合适的 grid/block并 launch 你实现的 Triton kernel。

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---
sectionTitle: "输入格式"
type: "Text"
---
## 数据范围
- 数据类型:`q/kv_data/output` 均为 `bfloat16`
- KV layout`NHD`
- `num_qo_heads = 32`
- `num_kv_heads = 4`
- `page_block_size = 16`
- `causal = 0`
- `head_dim` 固定为 `128`
- `batch_size` 取值为 `1, 4, 16`
- `seq_len` 取值为 `1024, 4096, 8192, 16384`
测试点顺序与 `McFlashInfer/benchmarks/bench_batch_prefill_paged.py` 中的 cases 一致,即:
```python
for head_dim in [128]:
for batch_size in [1, 4, 16]:
for seq_len in [1024, 4096, 8192, 16384]:
...
```
输出参与 `torch.allclose` 校验,容差为 `rtol=1e-2, atol=1e-2`

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pytorch参考实现
```python
def baseline(q, kv_data, output, qo_indptr, kv_indptr, kv_indices, last_page_len,
batch_size, seq_len, num_qo_heads, num_kv_heads,
head_dim, page_block_size, causal):
workspace_buffer = torch.empty(128 * 1024 * 1024, dtype=torch.uint8, device=q.device)
wrapper = flashinfer.BatchPrefillWithPagedKVCacheWrapper(
workspace_buffer,
kv_layout="NHD",
backend="auto",
)
wrapper.plan(
qo_indptr,
kv_indptr,
kv_indices,
last_page_len,
num_qo_heads,
num_kv_heads,
head_dim,
page_block_size,
causal=bool(causal),
q_data_type=torch.bfloat16,
kv_data_type=torch.bfloat16,
)
wrapper.run(q, kv_data, out=output)
```

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@ -1,16 +0,0 @@
{
"id": 194,
"displayId": 20002,
"type": "Traditional",
"isPublic": false,
"locales": [
"zh_CN"
],
"samples": [
{
"inputData": "1\n",
"outputData": ""
}
],
"problemTagIds": []
}

View File

@ -1,273 +0,0 @@
from __future__ import annotations
HEAD_DIMS = [128]
BATCH_SIZES = [1, 4, 16]
SEQ_LENS = [1024, 4096, 8192, 16384]
NUM_QO_HEADS = 32
PAGE_BLOCK_SIZE = 16
CAUSAL = 0
def _build_cases():
cases = []
for head_dim in HEAD_DIMS:
for batch_size in BATCH_SIZES:
for seq_len in SEQ_LENS:
num_kv_heads = 8 if head_dim == 64 else 4
cases.append(
(
batch_size,
seq_len,
NUM_QO_HEADS,
num_kv_heads,
head_dim,
PAGE_BLOCK_SIZE,
CAUSAL,
)
)
return cases
TESTCASES = _build_cases()
def getNumOfTestcases() -> int:
return len(TESTCASES)
try:
from pathlib import Path
from typing import List, Tuple, Union
import sys
import torch
KernelArg = Union[torch.Tensor, int, float]
CURRENT_CASE = None
def _ensure_flashinfer_importable():
try:
import flashinfer # noqa: F401
return
except ImportError:
pass
here = Path(__file__).resolve()
for parent in here.parents:
candidate = parent / "McFlashInfer"
if (candidate / "flashinfer").is_dir():
sys.path.insert(0, str(candidate))
return
def _get_testcase_index() -> int:
try:
raw = input().strip()
except EOFError:
return 0
if raw == "":
return 0
try:
testcase_id = int(raw.split()[0])
except ValueError:
return 0
if 1 <= testcase_id <= len(TESTCASES):
return testcase_id - 1
if 0 <= testcase_id < len(TESTCASES):
return testcase_id
return 0
def _compute_reps(batch_size: int, seq_len: int, head_dim: int, base_reps: int = 100) -> int:
workload = batch_size * seq_len * head_dim
if workload < 1e5:
return base_reps
if workload < 1e6:
return base_reps // 2
if workload < 1e7:
return base_reps // 4
if workload < 1e8:
return base_reps // 8
if workload < 1e9:
return base_reps // 16
return base_reps // 32
def _setup_paged_kv_indptr(batch_size: int, seq_len: int, page_block_size: int, device: str):
seq_lens = torch.full((batch_size,), seq_len, dtype=torch.int32, device=device)
seq_lens_blocks = torch.div(seq_lens + page_block_size - 1, page_block_size, rounding_mode="floor")
kv_indptr = torch.empty((batch_size + 1,), dtype=torch.int32, device=device)
kv_indptr[0] = 0
kv_indptr[1:] = torch.cumsum(seq_lens_blocks, dim=0)
num_blocks = int(kv_indptr[-1].item())
last_page_len = (seq_lens - 1) % page_block_size + 1
return kv_indptr, last_page_len, num_blocks
def getTestCaseSize() -> Tuple[List[Tuple[int, ...]], Tuple[int, int]]:
testcase_id = _get_testcase_index()
global CURRENT_CASE
batch_size, seq_len, num_qo_heads, num_kv_heads, head_dim, page_block_size, causal = TESTCASES[testcase_id]
num_blocks = batch_size * ((seq_len + page_block_size - 1) // page_block_size)
qo_len = batch_size * seq_len
CURRENT_CASE = (
batch_size,
seq_len,
num_qo_heads,
num_kv_heads,
head_dim,
page_block_size,
causal,
num_blocks,
20260620 + testcase_id,
)
warmup = 3
iters = max(1, _compute_reps(batch_size, seq_len, head_dim))
return [
(qo_len, num_qo_heads, head_dim),
(num_blocks, 2, page_block_size, num_kv_heads, head_dim),
(qo_len, num_qo_heads, head_dim),
(batch_size + 1,),
(batch_size + 1,),
(num_blocks,),
(batch_size,),
(), (), (), (), (), (), (),
], (warmup, iters)
def genTestCase(testcase_sizes, device: str = "cuda") -> List[KernelArg]:
del testcase_sizes
(
batch_size,
seq_len,
num_qo_heads,
num_kv_heads,
head_dim,
page_block_size,
causal,
num_blocks,
seed,
) = CURRENT_CASE
gen = torch.Generator(device=device)
gen.manual_seed(seed)
dtype = torch.bfloat16
qo_len = batch_size * seq_len
q = torch.rand(qo_len, num_qo_heads, head_dim, dtype=dtype, device=device, generator=gen).contiguous()
kv_data = torch.randn(
num_blocks,
2,
page_block_size,
num_kv_heads,
head_dim,
dtype=dtype,
device=device,
generator=gen,
).contiguous()
output = torch.empty(qo_len, num_qo_heads, head_dim, dtype=dtype, device=device)
qo_indptr = torch.arange(0, batch_size + 1, dtype=torch.int32, device=device) * seq_len
kv_indptr, last_page_len, num_blocks_check = _setup_paged_kv_indptr(
batch_size,
seq_len,
page_block_size,
device,
)
assert num_blocks_check == num_blocks
kv_indices = torch.arange(num_blocks, dtype=torch.int32, device=device)
return [
q,
kv_data,
output,
qo_indptr,
kv_indptr,
kv_indices,
last_page_len,
batch_size,
seq_len,
num_qo_heads,
num_kv_heads,
head_dim,
page_block_size,
causal,
]
def baseline(
q,
kv_data,
output,
qo_indptr,
kv_indptr,
kv_indices,
last_page_len,
batch_size,
seq_len,
num_qo_heads,
num_kv_heads,
head_dim,
page_block_size,
causal,
):
_ensure_flashinfer_importable()
import flashinfer
workspace_buffer = torch.empty(128 * 1024 * 1024, dtype=torch.uint8, device=q.device)
wrapper = flashinfer.BatchPrefillWithPagedKVCacheWrapper(
workspace_buffer,
kv_layout="NHD",
backend="auto",
)
wrapper.plan(
qo_indptr,
kv_indptr,
kv_indices,
last_page_len,
int(num_qo_heads),
int(num_kv_heads),
int(head_dim),
int(page_block_size),
causal=bool(causal),
q_data_type=torch.bfloat16,
kv_data_type=torch.bfloat16,
)
wrapper.run(q, kv_data, out=output)
return [
q,
kv_data,
output,
qo_indptr,
kv_indptr,
kv_indices,
last_page_len,
batch_size,
seq_len,
num_qo_heads,
num_kv_heads,
head_dim,
page_block_size,
causal,
]
def check(
testcase_sizes,
original_input_tensors,
target_kernel_input_tensors,
baseline_input_tensors,
rtol=1e-2,
atol=1e-2,
) -> bool:
del testcase_sizes, original_input_tensors
output_t = target_kernel_input_tensors[2]
output_ref = baseline_input_tensors[2]
if output_t.shape != output_ref.shape:
print(f"[FAIL] shape mismatch: target {output_t.shape}, ref {output_ref.shape}", file=sys.stderr)
return False
if output_t.dtype != output_ref.dtype:
print(f"[FAIL] dtype mismatch: target {output_t.dtype}, ref {output_ref.dtype}", file=sys.stderr)
return False
if not torch.allclose(output_t.float(), output_ref.float(), rtol=rtol, atol=atol):
diff = (output_t.float() - output_ref.float()).abs()
print(
f"[FAIL] allclose failed: max_abs_diff={float(diff.max().item()):.6f}, "
f"mean_abs_diff={float(diff.mean().item()):.6f} (rtol={rtol}, atol={atol})",
file=sys.stderr,
)
return False
return True
except Exception:
pass

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@ -1,22 +0,0 @@
---
sectionTitle: "题目描述"
type: "Text"
---
你需要实现 FlashInfer paged KV cache prefill 的 CUDA C++ 前向算子。
本题输入采用 FlashInfer `BatchPrefillWithPagedKVCacheWrapper` 的 paged `NHD` 布局。每个 batch 中有 `seq_len` 个 query tokenKV cache 也有 `seq_len` 个 token并按 page 存储。
评测程序会调用你提交代码中的 `run_kernel` 函数。你需要根据 `qo_indptr`、`kv_indptr`、`kv_indices` 和 `last_page_len` 读取 paged KV cache并将结果写入 `output`
baseline 使用 FlashInfer paged prefill 的 Python API
```python
wrapper = flashinfer.BatchPrefillWithPagedKVCacheWrapper(workspace, kv_layout="NHD", backend="auto")
wrapper.plan(qo_indptr, kv_indptr, kv_indices, last_page_len,
num_qo_heads, num_kv_heads, head_dim, page_block_size,
causal=bool(causal),
q_data_type=torch.bfloat16, kv_data_type=torch.bfloat16)
wrapper.run(q, kv_data, out=output)
```
如何提交代码详见[评测指南](/d/2)。

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@ -1,42 +0,0 @@
---
sectionTitle: "接口约定"
type: "codeSample"
lang: "cuda"
---
你必须在提交的 CUDA 源码中提供如下 **C 符号**,函数名、参数类型、顺序必须完全一致,并使用 `extern "C"` 防止 name mangling
```cpp
#include <stdint.h>
#include <cuda_bf16.h>
extern "C" void run_kernel(
const __nv_bfloat16* q,
const __nv_bfloat16* kv_data,
__nv_bfloat16* output,
const int32_t* qo_indptr,
const int32_t* kv_indptr,
const int32_t* kv_indices,
const int32_t* last_page_len,
int64_t batch_size,
int64_t seq_len,
int64_t num_qo_heads,
int64_t num_kv_heads,
int64_t head_dim,
int64_t page_block_size,
int64_t causal
);
```
### 参数说明
* `q`query tensorshape `(batch_size * seq_len, num_qo_heads, head_dim)`,连续 `bf16`
* `kv_data`paged KV cacheshape `(num_blocks, 2, page_block_size, num_kv_heads, head_dim)`,连续 `bf16`,其中 `kv_data[:, 0]` 为 key`kv_data[:, 1]` 为 value
* `output`输出缓冲区shape `(batch_size * seq_len, num_qo_heads, head_dim)`,连续 `bf16`
* `qo_indptr`query/output indptrshape `(batch_size + 1)`,连续 `int32`
* `kv_indptr`paged KV indptrshape `(batch_size + 1)`,连续 `int32`
* `kv_indices`page indexshape `(num_blocks)`,连续 `int32`
* `last_page_len`:每个 batch 最后一个 page 的有效 token 数shape `(batch_size)`,连续 `int32`
* `page_block_size`page size评测中固定为 `16`
* `causal`:是否启用 causal mask本题按 benchmark case 固定为 `0`
`run_kernel` 内部需要自行计算合适的 launch 配置并启动 CUDA kernel。为保证计时准确不建议在 `run_kernel` 内部做 `cudaDeviceSynchronize()` 或显式同步。

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@ -1,55 +0,0 @@
---
sectionTitle: "接口约定"
type: "codeSample"
lang: "tilelang"
---
你必须在提交的 Python 代码中提供 `run_kernel` 函数,函数名、参数顺序、类型必须完全一致:
```python
import tilelang
import tilelang.language as T
from tilelang import jit
real_kernel = None
@jit
def build_kernel(*args):
@T.prim_func
def kernel(*args):
...
return kernel
def run_kernel(
q, # Tensor[bf16], shape (batch_size * seq_len, num_qo_heads, head_dim)
kv_data, # Tensor[bf16], shape (num_blocks, 2, page_block_size, num_kv_heads, head_dim)
output, # Tensor[bf16], shape (batch_size * seq_len, num_qo_heads, head_dim)
qo_indptr, # Tensor[int32], shape (batch_size + 1)
kv_indptr, # Tensor[int32], shape (batch_size + 1)
kv_indices, # Tensor[int32], shape (num_blocks)
last_page_len, # Tensor[int32], shape (batch_size)
batch_size, # int64
seq_len, # int64
num_qo_heads, # int64
num_kv_heads, # int64
head_dim, # int64
page_block_size, # int64
causal, # int64
):
global real_kernel
if real_kernel is None:
real_kernel = build_kernel(...)
real_kernel(q, kv_data, output, qo_indptr, kv_indptr, kv_indices, last_page_len,
batch_size, seq_len, num_qo_heads, num_kv_heads,
head_dim, page_block_size, causal)
```
### 参数说明
* `q`query tensor连续 `bfloat16`
* `kv_data`paged KV cache连续 `bfloat16`
* `output`:输出缓冲区,连续 `bfloat16`,需要写入结果
* `qo_indptr/kv_indptr/kv_indices/last_page_len`paged KV metadata连续 `int32`
* `page_block_size`:评测中固定为 `16`
* `causal`:评测中固定为 `0`
`run_kernel` 内部需要自行计算合适的 grid/block并 launch 你实现的 TileLang kernel。

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@ -1,44 +0,0 @@
---
sectionTitle: "接口约定"
type: "codeSample"
lang: "triton"
---
你必须在提交的 Python 代码中提供 `run_kernel` 函数,函数名、参数顺序、类型必须完全一致:
```python
import triton
import triton.language as tl
@triton.jit
def your_kernel(...):
...
def run_kernel(
q, # Tensor[bf16], shape (batch_size * seq_len, num_qo_heads, head_dim)
kv_data, # Tensor[bf16], shape (num_blocks, 2, page_block_size, num_kv_heads, head_dim)
output, # Tensor[bf16], shape (batch_size * seq_len, num_qo_heads, head_dim)
qo_indptr, # Tensor[int32], shape (batch_size + 1)
kv_indptr, # Tensor[int32], shape (batch_size + 1)
kv_indices, # Tensor[int32], shape (num_blocks)
last_page_len, # Tensor[int32], shape (batch_size)
batch_size, # int64
seq_len, # int64
num_qo_heads, # int64
num_kv_heads, # int64
head_dim, # int64
page_block_size, # int64
causal, # int64
):
...
```
### 参数说明
* `q`query tensor连续 `bfloat16`
* `kv_data`paged KV cache连续 `bfloat16`
* `output`:输出缓冲区,连续 `bfloat16`,需要写入结果
* `qo_indptr/kv_indptr/kv_indices/last_page_len`paged KV metadata连续 `int32`
* `page_block_size`:评测中固定为 `16`
* `causal`:评测中固定为 `0`
`run_kernel` 内部需要自行计算合适的 grid/block并 launch 你实现的 Triton kernel。

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@ -1,26 +0,0 @@
---
sectionTitle: "输入格式"
type: "Text"
---
## 数据范围
- 数据类型:`q/kv_data/output` 均为 `bfloat16`
- KV layout`NHD`
- `num_qo_heads = 32`
- `num_kv_heads = 4`
- `page_block_size = 16`
- `causal = 0`
- `head_dim` 固定为 `128`
- `batch_size` 取值为 `1, 4, 16`
- `seq_len` 取值为 `1024, 4096, 8192, 16384`
测试点顺序与 `McFlashInfer/benchmarks/bench_batch_prefill_paged.py` 中的 cases 一致,即:
```python
for head_dim in [128]:
for batch_size in [1, 4, 16]:
for seq_len in [1024, 4096, 8192, 16384]:
...
```
输出参与 `torch.allclose` 校验,容差为 `rtol=1e-2, atol=1e-2`

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