7/29/2019 Lin Pack

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35

40

45

50

55

60

65

70

75

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DDOT

DDOT

30

32

34

36

38

40

42

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DAXPY

DAXPY

40

50

60

70

80

90

100

110

120

0 200 400 600 800 1000 1200 1400 1600 1800

MFLOP/s

Matrix dimension

Level 2 BLAS: DGEMV

DGEMV

100

150

200

250

300

350

400

450

0 200 400 600 800 1000 1200 1400 1600 1800 2000

MFLOP/s

Matrix dimension

Level 3 BLAS: DGEMM

DGEMM

7/29/2019 Lin Pack

27/40

50

55

60

65

70

75

80

85

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DDOT

DDOT

40

42

44

46

48

50

52

54

56

58

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DAXPY

DAXPY

40

60

80

100

120

140

160

180

200

0 200 400 600 800 1000 1200 1400 1600 1800

MFLOP/s

Matrix dimension

Level 2 BLAS: DGEMV

DGEMV

100

200

300

400

500

600

700

0 200 400 600 800 1000 1200 1400 1600 1800 2000

MFLOP/s

Matrix dimension

Level 3 BLAS: DGEMM

DGEMM

7/29/2019 Lin Pack

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255

260

265

270

275

280

285

290

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DDOT

DDOT

145

150

155

160

165

170

175

180

185

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DAXPY

DAXPY

50

100

150

200

250

300

350

400

450

0 200 400 600 800 1000 1200 1400 1600 1800

MFLOP/s

Matrix dimension

Level 2 BLAS: DGEMV

DGEMV

0

500

1000

1500

2000

2500

3000

0 200 400 600 800 1000 1200 1400 1600 1800 2000

MFLOP/s

Matrix dimension

Level 3 BLAS: DGEMM

DGEMM

7/29/2019 Lin Pack

29/40

30

30.5

31

31.5

32

32.5

33

33.5

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DDOT

DDOT

25.8

26

26.2

26.4

26.6

26.8

27

27.2

27.4

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DAXPY

DAXPY

20

40

60

80

100

120

140

160

180

0 200 400 600 800 1000 1200 1400 1600 1800

M

FLOP/s

Matrix dimension

Level 2 BLAS: DGEMV

DGEMV

0

200

400

600

800

1000

1200

1400

1600

1800

2000

2200

0 200 400 600 800 1000 1200 1400 1600 1800 2000

M

FLOP/s

Matrix dimension

Level 3 BLAS: DGEMM

DGEMM

7/29/2019 Lin Pack

30/40

66

68

70

72

74

76

78

80

82

84

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DDOT

DDOT

48

50

52

54

56

58

60

62

64

66

68

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DAXPY

DAXPY

40

60

80

100

120

140

160

180

200

220

240

0 200 400 600 800 1000 1200 1400 1600 1800

MFLOP/s

Matrix dimension

Level 2 BLAS: DGEMV

DGEMV

200

400

600

800

1000

1200

1400

1600

1800

0 200 400 600 800 1000 1200 1400 1600 1800 2000

MFLOP/s

Matrix dimension

Level 3 BLAS: DGEMM

DGEMM

7/29/2019 Lin Pack

31/40

60

70

80

90

100

110

120

130

140

150

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DDOT

DDOT

50

60

70

80

90

100

110

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DAXPY

DAXPY

50

100

150

200

250

300

350

0 200 400 600 800 1000 1200 1400 1600 1800

MFLOP/s

Matrix dimension

Level 2 BLAS: DGEMV

DGEMV

0

200

400

600

800

1000

1200

1400

1600

0 200 400 600 800 1000 1200 1400 1600 1800 2000

MFLOP/s

Matrix dimension

Level 3 BLAS: DGEMM

DGEMM

7/29/2019 Lin Pack

32/40

300

350

400

450

500

550

600

650

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DDOT

DDOT

200

220

240

260

280

300

320

340

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DAXPY

DAXPY

100

200

300

400

500

600

700

800

900

1000

0 200 400 600 800 1000 1200 1400 1600 1800

MFLOP/s

Matrix dimension

Level 2 BLAS: DGEMV

DGEMV

500

1000

1500

2000

2500

3000

3500

4000

4500

0 200 400 600 800 1000 1200 1400 1600 1800 2000

MFLOP/s

Matrix dimension

Level 3 BLAS: DGEMM

DGEMM

7/29/2019 Lin Pack

33/40

100

150

200

250

300

350

400

450

500

550

600

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DDOT

DDOT

100

150

200

250

300

350

400

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DAXPY

DAXPY

300

400

500

600

700

800

900

1000

0 200 400 600 800 1000 1200 1400 1600 1800

M

FLOP/s

Matrix dimension

Level 2 BLAS: DGEMV

DGEMV

500

1000

1500

2000

2500

3000

3500

4000

0 200 400 600 800 1000 1200 1400 1600 1800 2000

M

FLOP/s

Matrix dimension

Level 3 BLAS: DGEMM

DGEMM

7/29/2019 Lin Pack

34/40

35

40

45

50

55

60

65

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DDOT

DDOT

20

22

24

26

28

30

32

34

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DAXPY

DAXPY

30

40

50

60

70

80

90

100

0 200 400 600 800 1000 1200 1400 1600 1800

MFLOP/s

Matrix dimension

Level 2 BLAS: DGEMV

DGEMV

100

150

200

250

300

350

400

450

500

0 200 400 600 800 1000 1200 1400 1600 1800 2000

MFLOP/s

Matrix dimension

Level 3 BLAS: DGEMM

DGEMM

7/29/2019 Lin Pack

35/40

90

100

110

120

130

140

150

160

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DDOT

DDOT

30

40

50

60

70

80

90

100

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DAXPY

DAXPY

60

80

100

120

140

160

180

200

220

240

260

0 200 400 600 800 1000 1200 1400 1600 1800

M

FLOP/s

Matrix dimension

Level 2 BLAS: DGEMV

DGEMV

200

300

400

500

600

700

800

900

1000

0 200 400 600 800 1000 1200 1400 1600 1800 2000

M

FLOP/s

Matrix dimension

Level 3 BLAS: DGEMM

DGEMM

7/29/2019 Lin Pack

36/40

21.5

22

22.5

23

23.5

24

24.5

25

25.5

26

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DDOT

DDOT

14

16

18

20

22

24

26

28

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DAXPY

DAXPY

30

35

40

45

50

55

60

65

70

75

80

0 200 400 600 800 1000 1200 1400 1600 1800

M

FLOP/s

Matrix dimension

Level 2 BLAS: DGEMV

DGEMV

100

200

300

400

500

600

700

800

900

0 200 400 600 800 1000 1200 1400 1600 1800 2000

M

FLOP/s

Matrix dimension

Level 3 BLAS: DGEMM

DGEMM

7/29/2019 Lin Pack

37/40

70

80

90

100

110

120

130

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DDOT

DDOT

65

70

75

80

85

90

95

100

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DAXPY

DAXPY

40

60

80

100

120

140

160

180

200

220

240

0 200 400 600 800 1000 1200 1400 1600 1800

M

FLOP/s

Matrix dimension

Level 2 BLAS: DGEMV

DGEMV

0

100

200

300

400

500

600

700

800

900

1000

1100

0 200 400 600 800 1000 1200 1400 1600 1800 2000

M

FLOP/s

Matrix dimension

Level 3 BLAS: DGEMM

DGEMM

7/29/2019 Lin Pack

38/40

22

24

26

28

30

32

34

36

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DDOT

DDOT

14

15

16

17

18

19

20

21

22

23

24

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DAXPY

DAXPY

25

30

35

40

45

50

55

60

0 200 400 600 800 1000 1200 1400 1600 1800

M

FLOP/s

Matrix dimension

Level 2 BLAS: DGEMV

DGEMV

50

100

150

200

250

300

350

400

450

500

0 200 400 600 800 1000 1200 1400 1600 1800 2000

M

FLOP/s

Matrix dimension

Level 3 BLAS: DGEMM

DGEMM

7/29/2019 Lin Pack

39/40

4

6

8

10

12

14

16

18

20

22

24

26

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DDOT

DDOT

4

6

8

10

12

14

16

18

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DAXPY

DAXPY

14

16

18

20

22

24

26

28

30

32

0 200 400 600 800 1000 1200 1400 1600 1800

M

FLOP/s

Matrix dimension

Level 2 BLAS: DGEMV

DGEMV

0

20

40

60

80

100

120

140

160

180

200

0 200 400 600 800 1000 1200 1400 1600 1800 2000

M

FLOP/s

Matrix dimension

Level 3 BLAS: DGEMM

DGEMM

7/29/2019 Lin Pack

40/40

60

65

70

75

80

85

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DDOT

DDOT

30

35

40

45

50

55

0 100 200 300 400 500 600 700 800 900 1000

MFLOP/s

Vector dimension

Level 1 BLAS: DAXPY

DAXPY

40

60

80

100

120

140

160

180

200

0 200 400 600 800 1000 1200 1400 1600 1800

MFLOP/s

Matrix dimension

Level 2 BLAS: DGEMV

DGEMV

100

200

300

400

500

600

700

0 200 400 600 800 1000 1200 1400 1600 1800 2000

MFLOP/s

Matrix dimension

Level 3 BLAS: DGEMM

DGEMM