3-24-2016 New Banded Results



• Name: the name of the matrix (test)
• N: the dimension of the matrix (number of rows and columns)
• NNZ: number of non-zeros
• SPD: whether the matrix is specified by the user to be symmetric positive definite (values: 0 or 1)
• DB: indicate whether DB reordering is performed. Values: 0 or 1.
• K-DB: the half-bandwidth after DB reordering method (without any drop-off). If DB is specified not to be executed, then this reports the original half-bandwidth
• KnoDrp: the half-bandwidth after DB and CM reordering but before drop-off
• K: the half-bandwidth after reordering and drop-off
• FRate: fill-in rate. See NOTES below
• nuKf: non-uniform K factor. Indicates whether the K changes a lot from row to row. Values are between 0 and 1, with 0 indicating a perfectly uniform bandwidth over the entire matrix. See NOTES below
• Solves: indicates whether we managed to solve the problem or not. OK means solved fine, otherwise a reason is provided for failure
• Bstng: indicates whether we enable diagonal boosting when doing factorization. Values: 0 or 1
• SolAcc: infinity norm of the array storing the relative errors
• T-DB: time to run DB reordering for the matrix on the CPU
• T-CM: time to run CM reordering for the matrix on the CPU
• T-Drop: time to drop off off-diagonal elements to decrease bandwidth. Done on the CPU.
• T-Dtransf: data transfer from CPU to GPU
• T-Asmbl: after reordering and drop-off, copy the sparse matrix to banded matrix stored in GPU memory
• LU-M: LU method (complete, ILUT or ILUULT)
• Fill-in: the fill-in factor of ILUT (-1 indicates complete LU)
• NPrtns: the number of partitions used to solve the problem
• T-BC: time required to get off-diagonal right hand sides (Bs and Cs) from the banded matrix - done on the GPU
• T-LU: LU time
• GFlps-LU: LU GFLOPs
• T-SPK: time to solve for the spikes Vs and Ws - done on the GPU
• T-LUrdcd: time required to factorize the reduced matrices - done on the GPU
• T-PreP: the sum of all preprocessing times, see NOTES
• Kry-M: the method used in Krylov solving stage (can be BiCGStab2 (0), BiCGStab (1), or CG(2))
• nItrs: the number of Krylov-solve iterations to solve the problem
• T-Kry: time spent in the Krylov solver (on the GPU)
• Total: total time to solve the problem, sum of PreProc + T-Kry
• Pardiso: the time for the commercial tool "Pardiso" to solve the problem
• SlwD: the slowdown ratio of our solver compared to Pardiso (a value less than one means that we are faster than Pardiso. The value is shown in green if we run faster and shown in red if we run more than 5 times slower.)
• Fastest: the time when SaP runs fastest historically
• SpdUp: the speedup of this run compared to the historical fastest run (the value is shown in green if the speedup is more than 5% and shown in red if the slowdown is more than 5%)


NOTES:
1) nuKf = 1/(2KN)*[sum over i from 1 to N of (2K - K_{iLeft} - K_{iRight})], where K_{iLeft} is the row half-bandwidth to the left of the diagonal while K_{iRight} is the row half-bandwidth to the right of the diagonal.
2) FRate = the actual number of NNZ / ((2K+1)N).
3) All times reported are in miliseconds (1E-3 second)


N

K

d

NPrtns

Solves

RelR

T-LU

T-SwDef

T-MMDef

T-PreP

nItrs

T-SwInf

T-MVInf

T-Kry

T-KryPIt

T-Total

200000

50

1.2

50

OK

6.17292e-16

118.533

136.906

0.25

63.329

63.329

200.235

200000

50

1.2

80

OK

1.81046e-11

49.1865

65.458

1.75

95.536

54.592

160.994

200000

50

1.2

80

OK

1.81046e-11

49.4348

55.724

1.75

94.85

54.2

150.574

200000

50

1.2

1

OK

4.58455e-16

59.61

64.1773

89.1288

224.376

0.25

11.3181

28.0618

51.643

51.643

276.019

200000

200

1.2

50

OK

1.18814e-15

992.118

1154.11

0.25

106.654

106.654

1260.76

200000

200

1.2

80

OK

2.50689e-12

361.159

422.907

1.75

162.95

93.1143

585.857

200000

200

1.2

80

OK

2.50689e-12

361.412

384.289

1.75

167.305

95.6029

551.594

200000

200

1.2

1

OK

8.69714e-16

371.216

609.752

468.811

1538.61

0.25

29.0655

48.6428

104.588

104.588

1643.2

200000

50

1

50

OK

6.21492e-16

112.554

130.493

0.25

62.447

62.447

192.94

200000

50

1

80

OK

7.84293e-11

49.302

65.569

1.75

95.435

54.5343

161.004

200000

50

1

80

OK

7.84293e-11

48.7532

55.045

1.75

101.282

57.8754

156.327

200000

50

1

1

OK

4.65154e-16

62.8266

64.166

89.2313

227.704

0.25

11.3793

28.0871

51.925

51.925

279.629

200000

200

1

50

OK

1.19938e-15

992.796

1154.57

0.25

106.848

106.848

1261.42

200000

200

1

80

OK

1.52629e-11

361.01

422.985

1.75

163.273

93.2989

586.258

200000

200

1

80

OK

1.52629e-11

360.443

383.276

1.75

162.547

92.884

545.823

200000

200

1

1

OK

8.83207e-16

370.973

610.205

467.101

1536.73

0.25

29.078

48.5507

104.675

104.675

1641.41

200000

50

0.8

50

OK

5.98631e-16

110.35

128.025

0.25

61.988

61.988

190.013

200000

50

0.8

80

OK

4.73113e-10

48.9942

65.197

1.75

95.163

54.3789

160.36

200000

50

0.8

80

OK

4.73113e-10

48.5851

54.869

1.75

95.579

54.6166

150.448

200000

50

0.8

1

OK

4.51519e-16

62.8721

64.2476

88.9198

227.454

0.25

11.3395

28.0251

51.729

51.729

279.183

200000

200

0.8

50

OK

1.16922e-15

993.732

1155.55

0.25

106.799

106.799

1262.35

200000

200

0.8

80

OK

2.38517e-10

360.317

422.093

1.75

162.667

92.9526

584.76

200000

200

0.8

80

OK

2.38517e-10

360.141

382.977

1.75

162.616

92.9234

545.593

200000

200

0.8

1

OK

8.5897e-16

370.939

609.815

466.779

1536.17

0.25

29.0821

48.5496

104.437

104.437

1640.61

200000

50

0.6

50

OK

6.45465e-16

109.877

127.565

0.25

61.924

61.924

189.489

200000

50

0.6

80

OK

7.94132e-10

48.8799

65.113

2.25

129.466

57.5404

194.579

200000

50

0.6

80

OK

7.94132e-10

48.648

54.926

2.25

139.123

61.8324

194.049

200000

50

0.6

1

OK

4.78232e-16

62.9232

64.2578

89.1826

227.946

0.25

11.3822

28.106

51.963

51.963

279.909

200000

200

0.6

50

OK

1.19927e-15

993.142

1154.89

0.25

106.769

106.769

1261.66

200000

200

0.6

80

OK

2.67732e-12

364.646

426.857

2.25

194.755

86.5578

621.612

200000

200

0.6

80

OK

2.67732e-12

363.978

387.034

2.25

193.684

86.0818

580.718

200000

200

0.6

1

OK

8.79067e-16

370.984

610.068

467.741

1537.14

0.25

29.0774

48.534

104.451

104.451

1641.6

200000

50

0.4

50

OK

6.07398e-16

116.05

133.737

0.25

66.798

66.798

200.535

200000

50

0.4

80

OK

1.49434e-10

48.8006

65.013

2.75

133.591

48.5785

198.604

200000

50

0.4

80

OK

1.49434e-10

48.8085

55.088

2.75

133.105

48.4018

188.193

200000

50

0.4

1

OK

4.5655e-16

61.2562

64.0896

88.7776

225.576

0.25

11.3496

28.0313

51.728

51.728

277.304

200000

200

0.4

50

OK

1.16721e-15

990.621

1152.3

0.25

106.762

106.762

1259.06

200000

200

0.4

80

OK

1.01774e-10

360.35

422.175

2.25

193.514

86.0062

615.689

200000

200

0.4

80

OK

1.01774e-10

360.433

383.269

2.25

192.839

85.7062

576.108

200000

200

0.4

1

OK

8.55187e-16

371.001

609.882

467.199

1536.47

0.25

29.0895

48.5199

104.577

104.577

1641.05

200000

50

0.2

50

OK

7.11332e-16

116.499

134.164

0.25

62.189

62.189

196.353

200000

50

0.2

80

OK

6.36112e-10

49.0649

65.255

4.75

207.969

43.7829

273.224

200000

50

0.2

80

OK

6.36112e-10

48.3457

54.642

4.75

207.844

43.7566

262.486

200000

50

0.2

1

OK

5.39041e-16

62.8668

64.2511

89.205

227.904

0.25

11.3732

28.0954

51.943

51.943

279.847

200000

200

0.2

50

OK

1.1771e-15

999.693

1162.65

0.25

107.138

107.138

1269.79

200000

200

0.2

80

OK

5.10344e-10

360.321

422.103

2.75

234.784

85.376

656.887

200000

200

0.2

80

OK

5.10344e-10

360.674

383.518

2.75

227.246

82.6349

610.764

200000

200

0.2

1

OK

8.69796e-16

370.982

609.606

466.859

1536.07

0.25

29.0651

48.5403

104.525

104.525

1640.59

200000

50

0.1

50

NConv

4.55188e-09

116.09

133.761

16.75

1217.37

72.6785

1351.13

200000

50

0.1

80

NConv

1

48.9691

65.159

101.25

3815.92

37.6881

3881.08

200000

50

0.1

80

NConv

1

47.6422

53.939

101.25

3782.51

37.3581

3836.44

200000

50

0.1

1

OK

6.73948e-10

62.8321

64.0162

89.0525

227.473

0.25

11.3663

28.0646

51.922

51.922

279.395

200000

200

0.1

50

OK

6.88347e-14

993.062

1154.92

0.25

106.681

106.681

1261.6

200000

200

0.1

80

OK

5.96008e-10

364.122

426.145

4.75

358.491

75.4718

784.636

200000

200

0.1

80

OK

5.96008e-10

360.291

383.095

4.75

355.966

74.9402

739.061

200000

200

0.1

1

OK

1.02261e-15

368.346

610.008

466.803

1533.96

0.25

29.0231

48.4265

104.215

104.215

1638.17

200000

50

0.08

50

NConv

1

118.988

136.659

101.25

6347.07

62.6872

6483.73

200000

50

0.08

80

NConv

1

50.0108

66.325

101.25

3827.1

37.7986

3893.43

200000

50

0.08

80

NConv

1

49.4025

55.749

101.25

3844.61

37.9714

3900.35

200000

50

0.08

1

OK

4.45433e-10

62.9072

64.1245

89.1802

227.751

0.75

17.0648

42.1561

77.349

77.349

305.1

200000

200

0.08

50

OK

1.43986e-10

993.215

1154.92

0.25

106.605

106.605

1261.53

200000

200

0.08

80

OK

5.41433e-10

364.14

426.118

6.75

496.573

73.5664

922.691

200000

200

0.08

80

OK

5.41433e-10

359.912

382.727

6.75

484.954

71.845

867.681

200000

200

0.08

1

OK

1.30247e-15

372.255

615.231

472.077

1548.16

0.25

29.2554

48.8006

104.949

104.949

1653.11

200000

50

0.06

50

NConv

1

111.906

129.639

101.25

6392.15

63.1323

6521.78

200000

50

0.06

80

NConv

1

49.5605

65.782

101.25

3789.73

37.4295

3855.52

200000

50

0.06

80

NConv

1

48.4809

54.752

101.25

3780.34

37.3367

3835.09

200000

50

0.06

1

OK

7.88227e-10

61.2908

64.1115

88.7581

225.613

0.75

17.0186

42.0493

76.959

76.959

302.572

200000

200

0.06

50

OK

2.33166e-10

991.429

1153.12

1.75

269.711

154.121

1422.83

200000

200

0.06

80

OK

1.93913e-10

360.254

422.04

90.25

5912.05

65.5075

6334.09

200000

200

0.06

80

OK

1.93913e-10

360.027

382.798

90.25

5911.95

65.5064

6294.75

200000

200

0.06

1

OK

8.99082e-14

369.204

609.849

466.538

1533.59

0.25

29.0236

48.4162

103.943

103.943

1637.53

200000

50

0.04

50

NConv

1

116.685

134.36

101.25

6357.53

62.7904

6491.89

200000

50

0.04

80

NConv

1

49.045

65.285

101.25

3825.32

37.7809

3890.6

200000

50

0.04

80

NConv

1

48.5643

54.829

101.25

3773.37

37.2678

3828.2

200000

50

0.04

1

NConv

3.06289e-09

61.0797

64.0219

88.78

225.384

2.5

62.2687

153.864

276.431

110.572

501.815

200000

200

0.04

50

NConv

1

990.574

1152.16

101.25

10961.8

108.265

12114

200000

200

0.04

80

NConv

1

360.369

422.449

101.25

6597.58

65.1613

7020.03

200000

200

0.04

80

NConv

1

359.97

382.777

101.25

6570.82

64.8969

6953.59

200000

200

0.04

1

OK

5.38613e-10

369.431

609.743

466.748

1533.75

0.75

43.5317

72.65

155.554

155.554

1689.31

200000

50

0.02

50

NConv

1

116.274

133.91

101.25

6350.77

62.7237

6484.68

200000

50

0.02

80

NConv

1

49.1416

65.564

101.25

3790.09

37.433

3855.65

200000

50

0.02

80

NConv

1

48.464

54.738

101.25

3803.86

37.5689

3858.59

200000

50

0.02

1

NConv

2.27761e-09

61.0637

64.0532

88.7658

225.288

2.5

62.2821

153.792

275.925

110.37

501.213

200000

200

0.02

50

NConv

1

990.679

1152.27

101.25

10969.5

108.341

12121.8

200000

200

0.02

80

NConv

1

360.3

422.062

101.25

6654.14

65.7199

7076.2

200000

200

0.02

80

NConv

1

359.949

382.702

101.25

6563.4

64.8237

6946.1

200000

200

0.02

1

NConv

1.97469e-09

369.6

610.431

466.382

1534.63

2.5

159.642

266.502

569.826

227.93

2104.46

200000

50

0.01

50

NConv

1

116.394

134.088

101.25

6352.51

62.7408

6486.59

200000

50

0.01

80

NConv

1

49.5155

65.689

101.25

3788.3

37.4153

3853.99

200000

50

0.01

80

NConv

1

48.4744

54.752

101.25

3779.01

37.3236

3833.77

200000

50

0.01

1

NConv

1.23525e-08

61.2777

64.1055

88.8411

225.668

2.5

62.3593

154.097

276.74

110.696

502.408

200000

200

0.01

50

NConv

1

990.59

1152.2

101.25

10967.5

108.321

12119.7

200000

200

0.01

80

NConv

1

364.349

426.316

101.25

6634.23

65.5233

7060.55

200000

200

0.01

80

NConv

1

364.075

387.097

101.25

6600.93

65.1943

6988.02

200000

200

0.01

1

NConv

1.6868e-08

369.183

609.612

466.639

1533.95

2.5

159.686

266.295

569.732

227.893

2103.68

1000

10

0.6

50

OK

8.14263e-12

0.866496

2.235

1.25

4.488

3.5904

6.723

1000

10

0.6

80

OK

2.36381e-10

0.511136

1.191

4.75

10.327

2.17411

11.518

1000

10

0.6

80

OK

2.36381e-10

0.914816

1.06

4.75

59.986

12.6286

61.046

1000

10

0.6

1

OK

2.69192e-16

2.59754

0.83296

5.48576

9.629

0.25

1.00061

1.1553

3.963

3.963

13.592

2000

10

0.6

50

OK

2.49705e-14

0.853728

2.121

0.75

3.231

3.231

5.352

2000

10

0.6

80

OK

2.97092e-10

0.529632

1.326

4.25

9.895

2.32824

11.221

2000

10

0.6

80

OK

2.97092e-10

0.84496

0.992

4.25

33.715

7.93294

34.707

2000

10

0.6

1

OK

2.65573e-16

1.73875

1.02739

5.87971

9.529

0.25

1.14758

1.39517

4.287

4.287

13.816

5000

10

0.6

50

OK

1.26959e-14

0.904288

2.636

0.75

4.149

4.149

6.785

5000

10

0.6

80

OK

6.41246e-10

0.532544

1.468

3.75

10.271

2.73893

11.739

5000

10

0.6

80

OK

6.41246e-10

0.845728

1.146

3.75

31.821

8.4856

32.967

5000

10

0.6

1

OK

2.70175e-16

2.17958

1.37446

10.7608

15.584

0.25

1.4671

1.9567

5.768

5.768

21.352

10000

10

0.6

50

OK

3.28059e-16

1.08355

3.004

0.25

3.858

3.858

6.862

10000

10

0.6

80

OK

9.39939e-10

0.584224

1.541

3.75

13.038

3.4768

14.579

10000

10

0.6

80

OK

9.39939e-10

0.871232

1.198

3.75

34.611

9.2296

35.809

10000

10

0.6

1

OK

2.70876e-16

3.75139

2.01843

14.2176

21.547

0.25

1.75882

2.74125

6.985

6.985

28.532

20000

10

0.6

50

OK

3.17874e-16

1.74608

3.744

0.25

6.201

6.201

9.945

20000

10

0.6

80

OK

5.87459e-10

1.33802

2.4

3.75

18.429

4.9144

20.829

20000

10

0.6

80

OK

5.87459e-10

1.0217

1.415

3.75

39.645

10.572

41.06

20000

10

0.6

1

OK

2.72987e-16

3.63338

3.20208

18.1123

26.815

0.25

2.22547

4.01859

9.202

9.202

36.017

50000

10

0.6

50

OK

3.17973e-16

3.74688

6.7

0.25

14.491

14.491

21.191

50000

10

0.6

80

OK

7.00301e-10

2.02077

3.673

3.75

39.656

10.5749

43.329

50000

10

0.6

80

OK

7.00301e-10

1.716

2.615

3.75

60.033

16.0088

62.648

50000

10

0.6

1

OK

2.73086e-16

7.50669

6.67834

23.0582

40.388

0.25

3.50352

7.9537

17.096

17.096

57.484

100000

10

0.6

50

OK

3.17875e-16

6.99261

11.239

0.25

26.434

26.434

37.673

100000

10

0.6

80

OK

2.63041e-10

3.19616

5.891

3.75

67.965

18.124

73.856

100000

10

0.6

80

OK

2.63041e-10

2.84672

4.423

3.75

86.851

23.1603

91.274

100000

10

0.6

1

OK

2.7323e-16

14.4267

12.2489

29.0159

60.611

0.25

5.34704

13.785

27.061

27.061

87.672

200000

10

0.6

50

OK

3.17563e-16

13.4602

19.546

0.25

48.544

48.544

68.09

200000

10

0.6

80

OK

3.00918e-10

5.44733

9.824

3.75

139.42

37.1787

149.244

200000

10

0.6

80

OK

3.00918e-10

5.15754

7.362

3.75

140.708

37.5221

148.07

200000

10

0.6

1

OK

2.7329e-16

20.9411

23.3563

37.8214

89.984

0.25

8.90944

25.505

43.386

43.386

133.37

500000

10

0.6

50

OK

3.17572e-16

33.0008

44.772

0.25

110.292

110.292

155.064

500000

10

0.6

80

OK

2.25904e-10

12.2351

21.723

3.75

296.403

79.0408

318.126

500000

10

0.6

80

OK

2.25904e-10

12.0528

16.299

3.75

298.313

79.5501

314.612

500000

10

0.6

1

OK

2.72526e-16

47.7108

56.5499

63.2545

184.36

0.25

19.5055

60.5745

92.215

92.215

276.575

1000000

10

0.6

50

OK

3.17757e-16

65.522

86.742

0.25

213.638

213.638

300.38

1000000

10

0.6

80

OK

9.93146e-10

23.589

41.464

3.25

556.092

171.105

597.556

1000000

10

0.6

80

OK

9.93146e-10

23.2663

30.845

3.25

556.458

171.218

587.303

1000000

10

0.6

1

OK

2.72575e-16

89.4073

111.639

118.875

351.303

0.25

37.1029

118.814

173.396

173.396

524.699

1000

20

0.6

50

OK

5.03984e-10

0.833312

2.414

0.75

3.273

3.273

5.687

1000

20

0.6

80

OK

1.16167e-10

0.513952

1.306

3.25

8.129

2.50123

9.435

1000

20

0.6

80

OK

1.16167e-10

0.979488

1.137

3.25

27.66

8.51077

28.797

1000

20

0.6

1

OK

3.2208e-16

3.31238

1.85568

5.58669

11.602

0.25

1.20442

1.05158

3.994

3.994

15.596

2000

20

0.6

50

OK

5.2288e-10

0.884096

3.423

0.75

3.694

3.694

7.117

2000

20

0.6

80

OK

7.681e-10

0.544192

1.352

3.25

7.926

2.43877

9.278

2000

20

0.6

80

OK

7.681e-10

0.874784

1.175

3.25

25.782

7.93292

26.957

2000

20

0.6

1

OK

3.26404e-16

2.13744

2.21581

7.07907

12.331

0.25

1.49382

1.38877

4.705

4.705

17.036

5000

20

0.6

50

OK

8.94553e-10

1.1897

3.673

0.25

3.677

3.677

7.35

5000

20

0.6

80

OK

8.67865e-10

0.618624

1.555

2.75

7.766

2.824

9.321

5000

20

0.6

80

OK

8.67865e-10

0.872064

1.212

2.75

24.364

8.85964

25.576

5000

20

0.6

1

OK

3.27815e-16

2.59229

2.8927

10.5243

17.25

0.25

1.70182

1.89782

5.766

5.766

23.016

10000

20

0.6

50

OK

2.35799e-11

1.99194

4.629

0.25

3.792

3.792

8.421

10000

20

0.6

80

OK

9.73068e-10

1.38966

2.443

2.75

10.36

3.76727

12.803

10000

20

0.6

80

OK

9.73068e-10

1.09264

1.505

2.75

26.693

9.70655

28.198

10000

20

0.6

1

OK

3.24052e-16

4.63434

4.02912

16.0929

26.287

0.25

2.07149

2.696

7.116

7.116

33.403

20000

20

0.6

50

OK

4.01432e-16

3.57104

6.545

0.25

6.257

6.257

12.802

20000

20

0.6

80

OK

6.92831e-10

1.96198

3.203

2.75

14.678

5.33745

17.881

20000

20

0.6

80

OK

6.92831e-10

1.6407

2.194

2.75

30.723

11.172

32.917

20000

20

0.6

1

OK

3.23705e-16

4.49299

6.06678

19.8805

32.288

0.25

2.55536

4.14096

10.557

10.557

42.845

50000

20

0.6

50

OK

4.061e-16

8.20733

12.448

0.25

15.042

15.042

27.49

50000

20

0.6

80

OK

6.23816e-10

3.66189

6.106

2.75

32.637

11.868

38.743

50000

20

0.6

80

OK

6.23816e-10

3.25869

4.59

2.75

46.866

17.0422

51.456

50000

20

0.6

1

OK

3.2522e-16

10.052

11.9407

26.4615

51.576

0.25

3.7743

8.34845

17.925

17.925

69.501

100000

20

0.6

50

OK

4.0605e-16

16.4886

22.548

0.25

27.746

27.746

50.294

100000

20

0.6

80

OK

8.57747e-10

6.36211

10.832

2.75

55.573

20.2084

66.405

100000

20

0.6

80

OK

8.57747e-10

5.96189

8.286

2.75

70.309

25.5669

78.595

100000

20

0.6

1

OK

3.23295e-16

18.5598

21.6646

34.2462

79.435

0.25

5.53552

14.8929

28.665

28.665

108.1

200000

20

0.6

50

OK

4.06458e-16

32.6822

41.775

0.25

50.565

50.565

92.34

200000

20

0.6

80

OK

2.98509e-10

11.8729

19.87

2.75

114.596

41.6713

134.466

200000

20

0.6

80

OK

2.98509e-10

11.4521

15.278

2.75

112.991

41.0876

128.269

200000

20

0.6

1

OK

3.23307e-16

31.6204

40.7099

48.3453

128.685

0.25

8.81382

27.8088

46.319

46.319

175.004

500000

20

0.6

50

OK

4.06573e-16

79.9161

98.199

0.25

116.738

116.738

214.937

500000

20

0.6

80

OK

3.42927e-10

28.1973

46.529

2.75

241.526

87.8276

288.055

500000

20

0.6

80

OK

3.42927e-10

27.926

36.15

2.75

240.994

87.6342

277.144

500000

20

0.6

1

OK

3.23444e-16

68.7815

98.1553

90.3432

274.645

0.25

18.3389

66.2091

98.52

98.52

373.165

1000000

20

0.6

50

OK

4.06679e-16

156.856

190.012

0.25

223.938

223.938

413.95

1000000

20

0.6

80

OK

1.40223e-10

55.4413

91.037

2.75

458.173

166.608

549.21

1000000

20

0.6

80

OK

1.40223e-10

55.1471

70.763

2.75

458.371

166.68

529.134

1000000

20

0.6

1

OK

3.23701e-16

131.035

194.774

162.621

520.623

0.25

34.5826

131.838

187.387

187.387

708.01

1000

50

0.6

50

OK

5.41854e-13

1.32854

4.257

0.75

5.032

5.032

9.289

1000

50

0.6

80

OK

5.73815e-10

0.806848

1.743

2.25

8.198

3.64356

9.941

1000

50

0.6

80

OK

5.73815e-10

1.03597

1.336

2.25

22.008

9.78133

23.344

1000

50

0.6

1

OK

4.66598e-16

3.83139

3.68125

5.99136

14.429

0.25

1.9992

0.891008

4.411

4.411

18.84

2000

50

0.6

50

OK

7.09194e-13

1.53366

5.429

0.75

5.194

5.194

10.623

2000

50

0.6

80

OK

3.33326e-10

0.909568

1.835

2.25

8.484

3.77067

10.319

2000

50

0.6

80

OK

3.33326e-10

1.14202

1.455

2.25

22.146

9.84267

23.601

2000

50

0.6

1

OK

4.7208e-16

3.2055

4.71558

8.80275

17.865

0.25

2.41792

1.23654

5.382

5.382

23.247

5000

50

0.6

50

OK

1.84129e-12

2.45939

8.504

0.75

5.665

5.665

14.169

5000

50

0.6

80

OK

9.14694e-10

2.19949

3.284

2.25

8.668

3.85244

11.952

5000

50

0.6

80

OK

9.14694e-10

1.80102

2.193

2.25

22.157

9.84756

24.35

5000

50

0.6

1

OK

4.77729e-16

4.28899

6.43264

11.0462

23.061

0.25

2.83581

1.83139

6.507

6.507

29.568

10000

50

0.6

50

OK

1.87344e-10

5.15811

11.458

0.25

7.154

7.154

18.612

10000

50

0.6

80

OK

3.29765e-10

2.76973

4.106

2.25

10.391

4.61822

14.497

10000

50

0.6

80

OK

3.29765e-10

2.45952

2.986

2.25

23.713

10.5391

26.699

10000

50

0.6

1

OK

4.76378e-16

7.49766

8.83901

14.3606

32.282

0.25

3.30042

2.69002

8.374

8.374

40.656

20000

50

0.6

50

OK

1.35814e-11

10.7015

17.575

0.25

7.829

7.829

25.404

20000

50

0.6

80

OK

2.65793e-10

5.24867

7.164

2.25

15.963

7.09467

23.127

20000

50

0.6

80

OK

2.65793e-10

4.93629

5.775

2.25

28.046

12.4649

33.821

20000

50

0.6

1

OK

4.78339e-16

8.72784

12.3215

23.9123

47.168

0.25

3.7681

4.1487

10.96

10.96

58.128

50000

50

0.6

50

OK

6.36376e-16

29.2884

38.203

0.25

18.206

18.206

56.409

50000

50

0.6

80

OK

3.5551e-10

12.5426

17.074

2.25

36.5

16.2222

53.574

50000

50

0.6

80

OK

3.5551e-10

12.2332

14.138

2.25

48.271

21.4538

62.409

50000

50

0.6

1

OK

4.78072e-16

18.8121

20.6687

34.6787

78.081

0.25

5.37878

8.1535

19.662

19.662

97.743

100000

50

0.6

50

OK

6.43815e-16

57.9218

70.043

0.25

33.458

33.458

103.501

100000

50

0.6

80

OK

9.59934e-10

24.6098

33.231

2.25

55.954

24.8684

89.185

100000

50

0.6

80

OK

9.59934e-10

24.3531

27.921

2.25

66.436

29.5271

94.357

100000

50

0.6

1

OK

4.78812e-16

31.7808

35.5143

53.2407

127.184

0.25

7.48563

14.8639

31.792

31.792

158.976

200000

50

0.6

50

OK

6.45465e-16

111.039

128.705

0.25

61.766

61.766

190.471

200000

50

0.6

80

OK

7.94132e-10

49.0137

65.234

2.25

129.167

57.4076

194.401

200000

50

0.6

80

OK

7.94132e-10

48.6122

54.869

2.25

128.766

57.2293

183.635

200000

50

0.6

1

OK

4.78232e-16

61.2808

64.3135

88.822

225.874

0.25

11.3499

28.0509

51.739

51.739

277.613

500000

50

0.6

50

OK

6.4646e-16

292.463

327.001

0.25

142.871

142.871

469.872

500000

50

0.6

80

OK

6.80824e-10

123.186

162.106

2.25

246.648

109.621

408.754

500000

50

0.6

80

OK

6.80824e-10

124.063

138.605

2.25

248.594

110.486

387.199

500000

50

0.6

1

OK

4.77826e-16

142.174

149.109

192.939

510.405

0.25

22.0615

67.1004

109.193

109.193

619.598

1000000

50

0.6

50

OK

6.45776e-16

557.2

619.19

0.25

278.424

278.424

897.614

1000000

50

0.6

80

OK

4.20445e-10

248.096

324.911

2.25

472.325

209.922

797.236

1000000

50

0.6

80

OK

4.20445e-10

249.707

277.52

2.25

472.424

209.966

749.944

1000000

50

0.6

1

OK

4.77684e-16

276.39

289.528

366.618

982.899

0.25

39.8216

132.088

205.923

205.923

1188.82

1000

100

0.6

50

OK

2.96759e-15

4.2777

8.451

0.75

7.644

7.644

16.095

1000

100

0.6

80

OK

3.93268e-10

2.20822

3.118

2.25

10.122

4.49867

13.24

1000

100

0.6

80

OK

3.93268e-10

2.13846

2.455

2.25

22.437

9.972

24.892

1000

100

0.6

1

OK

6.24445e-16

4.6904

9.80432

4.40106

19.988

0.25

2.9289

0.802912

5.217

5.217

25.205

2000

100

0.6

50

OK

3.20539e-15

5.41494

11.017

0.75

7.847

7.847

18.864

2000

100

0.6

80

OK

2.4168e-10

2.88899

3.913

2.25

10.336

4.59378

14.249

2000

100

0.6

80

OK

2.4168e-10

2.57411

2.948

2.25

22.616

10.0516

25.564

2000

100

0.6

1

OK

6.3029e-16

4.86349

13.6163

9.07859

28.768

0.25

3.64006

1.16198

6.476

6.476

35.244

5000

100

0.6

50

OK

5.66363e-15

9.12512

19.338

0.75

8.824

8.824

28.162

5000

100

0.6

80

OK

3.96533e-10

4.30726

5.672

2.25

11.273

5.01022

16.945

5000

100

0.6

80

OK

3.96533e-10

3.9721

4.509

2.25

23.155

10.2911

27.664

5000

100

0.6

1

OK

6.34265e-16

6.97629

20.6149

13.3486

42.662

0.25

4.35459

1.9071

8.143

8.143

50.805

10000

100

0.6

50

OK

1.02547e-14

15.5681

34.708

0.75

10.912

10.912

45.62

10000

100

0.6

80

OK

1.30014e-10

6.67654

8.597

2.25

12.444

5.53067

21.041

10000

100

0.6

80

OK

1.30014e-10

6.3785

7.211

2.25

23.631

10.5027

30.842

10000

100

0.6

1

OK

6.43717e-16

12.0739

27.5997

17.7463

59.84

0.25

5.11734

2.92781

10.793

10.793

70.633

20000

100

0.6

50

OK

9.01164e-16

34.4519

54.691

0.75

16.36

16.36

71.051

20000

100

0.6

80

OK

2.88388e-10

12.4071

15.848

2.25

16.651

7.40044

32.499

20000

100

0.6

80

OK

2.88388e-10

11.9477

13.301

2.25

27.796

12.3538

41.097

20000

100

0.6

1

OK

6.36802e-16

16.3471

39.7024

27.3423

87.207

0.25

6.0273

4.81226

14.644

14.644

101.851

50000

100

0.6

50

OK

9.82483e-16

91.0078

114.921

0.25

23.186

23.186

138.107

50000

100

0.6

80

OK

6.54399e-10

33.2077

41.494

1.75

32.291

18.452

73.785

50000

100

0.6

80

OK

6.54399e-10

32.8697

36.139

1.75

41.95

23.9714

78.089

50000

100

0.6

1

OK

6.40157e-16

34.6332

72.359

56.7137

172.19

0.25

7.93622

9.74144

24.918

24.918

197.108

100000

100

0.6

50

OK

8.69244e-16

186.357

216.62

0.25

42.934

42.934

259.554

100000

100

0.6

80

OK

4.57002e-10

68.4658

84.645

1.75

58.305

33.3171

142.95

100000

100

0.6

80

OK

4.57002e-10

67.9785

74.258

1.75

73.274

41.8709

147.532

100000

100

0.6

1

OK

6.35526e-16

64.5959

125.574

99.9512

306.142

0.25

11.3115

18.2724

41.559

41.559

347.701

200000

100

0.6

50

OK

8.74206e-16

371.017

411.716

0.25

76.64

76.64

488.356

200000

100

0.6

80

OK

3.2852e-10

136.915

168.313

1.75

115.23

65.8457

283.543

200000

100

0.6

80

OK

3.2852e-10

135.208

146.809

1.75

114.628

65.5017

261.437

200000

100

0.6

1

OK

6.38522e-16

121.423

225.9

181.705

559.509

0.25

16.5579

34.4479

67.627

67.627

627.136

500000

100

0.6

50

OK

8.7647e-16

939.925

1013.65

0.25

177.563

177.563

1191.22

500000

100

0.6

80

OK

3.68961e-10

348.23

424.713

1.75

259.4

148.229

684.113

500000

100

0.6

80

OK

3.68961e-10

347.734

375.495

1.75

259.003

148.002

634.498

500000

100

0.6

1

OK

6.37965e-16

284.324

524.244

430.214

1313.1

0.25

32.2358

83.1507

147.272

147.272

1460.37

1000000

100

0.6

50

OK

8.78674e-16

1900.49

2030.55

0.25

351.126

351.126

2381.68

1000000

100

0.6

80

OK

1.9837e-10

681.792

833.678

1.75

501.838

286.765

1335.52

1000000

100

0.6

80

OK

1.9837e-10

681.653

736.405

1.75

502.558

287.176

1238.96

1000000

100

0.6

1

OK

6.38265e-16

577.177

1021.88

844.876

2592.13

0.25

57.2057

164.224

279.357

279.357

2871.49

1000

200

0.6

50

OK

1.18998e-15

9.66573

15.601

0.25

9.175

9.175

24.776

1000

200

0.6

80

OK

6.5029e-11

5.25603

6.339

1.75

16.066

9.18057

22.405

1000

200

0.6

80

OK

6.5029e-11

4.97773

5.371

1.75

28.027

16.0154

33.398

1000

200

0.6

1

OK

8.99678e-16

6.42026

16.6962

3.87309

28.167

0.25

4.144

0.653952

6.163

6.163

34.33

2000

200

0.6

50

OK

1.08056e-15

11.9493

23.396

0.75

13.11

13.11

36.506

2000

200

0.6

80

OK

1.19787e-10

5.85501

6.935

1.75

14.152

8.08686

21.087

2000

200

0.6

80

OK

1.19787e-10

5.60435

6.077

1.75

25.07

14.3257

31.147

2000

200

0.6

1

OK

8.89939e-16

8.85024

28.8524

7.75478

46.905

0.25

5.60163

1.10525

8.421

8.421

55.326

5000

200

0.6

50

OK

1.14094e-15

24.3087

51.756

0.75

14.963

14.963

66.719

5000

200

0.6

80

OK

8.07397e-11

10.4573

12.371

1.75

15.58

8.90286

27.951

5000

200

0.6

80

OK

8.07397e-11

10.0235

10.859

1.75

25.624

14.6423

36.483

5000

200

0.6

1

OK

8.85066e-16

15.0144

48.7404

17.6622

83.881

0.25

6.9232

2.14691

11.107

11.107

94.988

10000

200

0.6

50

OK

1.13915e-15

42.6579

102.639

0.75

17.497

17.497

120.136

10000

200

0.6

80

OK

8.76397e-10

16.8819

20.275

1.75

17.651

10.0863

37.926

10000

200

0.6

80

OK

8.76397e-10

16.3594

17.717

1.75

27.652

15.8011

45.369

10000

200

0.6

1

OK

8.94542e-16

26.3736

67.9674

29.2787

128.703

0.25

8.41229

3.61174

14.951

14.951

143.654

20000

200

0.6

50

OK

1.13882e-15

81.1171

202.321

0.75

23.626

23.626

225.947

20000

200

0.6

80

OK

2.7296e-10

30.2975

36.884

1.75

21.535

12.3057

58.419

20000

200

0.6

80

OK

2.7296e-10

29.9582

32.44

1.75

31.596

18.0549

64.036

20000

200

0.6

1

OK

8.9449e-16

43.5823

101.395

51.725

205.914

0.25

10.068

6.28502

20.777

20.777

226.691

50000

200

0.6

50

OK

9.84119e-10

232.724

361.087

0.25

32.334

32.334

393.421

50000

200

0.6

80

OK

2.01488e-10

84.9499

100.965

1.75

43.833

25.0474

144.798

50000

200

0.6

80

OK

2.01488e-10

83.8696

89.962

1.75

53.574

30.6137

143.536

50000

200

0.6

1

OK

8.79048e-16

99.2123

188.958

118.432

428.767

0.25

13.3602

13.372

36.522

36.522

465.289

100000

200

0.6

50

OK

1.18308e-15

485.288

625.067

0.25

57.706

57.706

682.773

100000

200

0.6

80

OK

4.92705e-11

179.014

210.417

1.75

81.431

46.532

291.848

100000

200

0.6

80

OK

4.92705e-11

180.268

192.288

1.75

89.999

51.428

282.287

100000

200

0.6

1

OK

8.78265e-16

188.341

332.462

237.948

803.559

0.25

18.6014

25.1482

59.84

59.84

863.399

200000

200

0.6

50

OK

1.19927e-15

990.646

1152.31

0.25

106.624

106.624

1258.93

200000

200

0.6

80

OK

2.67732e-12

360.442

422.175

2.25

193.691

86.0849

615.866

200000

200

0.6

80

OK

2.67732e-12

360.003

382.778

2.25

192.592

85.5964

575.37

200000

200

0.6

1

OK

8.79067e-16

368.281

610.308

466.623

1533.3

0.25

29.0381

48.426

104.362

104.362

1637.66

500000

200

0.6

50

OK

1.20823e-15

2506.62

2734.52

0.25

248.335

248.335

2982.86

500000

200

0.6

80

OK

3.64618e-11

945.135

1097.65

1.75

381.55

218.029

1479.2

500000

200

0.6

80

OK

3.64618e-11

944.094

999.811

1.75

381.121

217.783

1380.93

500000

200

0.6

1

OK

8.75657e-16

908.756

1427.53

1161.88

3719.3

0.25

61.1691

118.008

237.936

237.936

3957.24

1000000

200

0.6

50

OK

1.21097e-15

5033.81

5372.28

0.25

487.847

487.847

5860.13

1000000

200

0.6

80

OK

2.18376e-11

1850.53

2153.99

1.75

749.431

428.246

2903.42

1000000

200

0.6

80

OK

2.18376e-11

1850.09

1960.74

1.75

749.815

428.466

2710.56

1000000

200

0.6

1

OoM (in setup stage)

1000

500

0.6

50

OK

1.61434e-15

13.3369

13.823

0.25

10.563

10.563

24.386

1000

500

0.6

80

OK

1.61434e-15

13.5063

13.986

0.25

10.673

10.673

24.659

1000

500

0.6

80

OK

1.61434e-15

13.2088

13.689

0.25

10.508

10.508

24.197

1000

500

0.6

1

OK

1.33307e-15

19.0106

28.9385

3.64246

53.977

0.25

7.32109

0.509664

9.304

9.304

63.281

2000

500

0.6

50

OK

1.6814e-15

34.6499

72.624

0.25

22.355

22.355

94.979

2000

500

0.6

80

OK

7.3659e-12

20.9631

22.833

1.75

32.588

18.6217

55.421

2000

500

0.6

80

OK

7.3659e-12

20.5972

21.381

1.75

42.415

24.2371

63.796

2000

500

0.6

1

OK

1.37037e-15

33.682

87.1418

14.2702

137.826

0.25

10.9767

1.23462

14.002

14.002

151.828

5000

500

0.6

50

OK

4.23621e-10

93.5637

228.2

0.25

35.181

35.181

263.381

5000

500

0.6

80

OK

1.65699e-12

41.3518

45.097

1.75

34.604

19.7737

79.701

5000

500

0.6

80

OK

1.65699e-12

40.9959

42.564

1.75

44.455

25.4029

87.019

5000

500

0.6

1

OK

1.34906e-15

70.1689

149.085

42.9628

266.683

0.25

14.6657

3.03757

20.336

20.336

287.019

10000

500

0.6

50

OK

3.68614e-10

191.894

500.748

0.25

38.807

38.807

539.555

10000

500

0.6

80

OK

1.90938e-11

75.5535

83.528

1.75

38.591

22.052

122.119

10000

500

0.6

80

OK

1.90938e-11

75.0697

78.033

1.75

48.269

27.5823

126.302

10000

500

0.6

1

OK

1.33214e-15

132.247

213.131

107.308

463.139

0.25

18.4675

6.24755

29.755

29.755

492.894

20000

500

0.6

50

OK

4.41885e-10

389.835

1059.76

0.25

51.052

51.052

1110.81

20000

500

0.6

80

OK

2.87489e-11

144.866

160.388

1.75

47.634

27.2194

208.022

20000

500

0.6

80

OK

2.87489e-11

144.494

150.172

1.75

57.517

32.8669

207.689

20000

500

0.6

1

OK

1.34672e-15

249.841

342.935

226.863

846.278

0.25

22.9254

12.2244

42.165

42.165

888.443

50000

500

0.6

50

OK

7.41744e-10

990.789

2681.95

0.25

101.796

101.796

2783.74

50000

500

0.6

80

OK

4.23416e-12

357.052

395.745

1.75

83.782

47.8754

479.527

50000

500

0.6

80

OK

4.23416e-12

360.945

375.252

1.75

93.239

53.2794

468.491

50000

500

0.6

1

OK

1.341e-15

597.659

706.495

592.243

1965.49

0.25

31.2195

29.7412

78.034

78.034

2043.52

100000

500

0.6

50

OK

2.12353e-15

2243.39

3968.84

0.75

184.597

184.597

4153.44

100000

500

0.6

80

OK

5.55139e-12

762.671

839.37

1.75

184.215

105.266

1023.59

100000

500

0.6

80

OK

5.55139e-12

772.182

800.558

1.75

194.245

110.997

994.803

100000

500

0.6

1

OK

1.33926e-15

1176.75

1216.09

1211.33

3742.54

0.25

44.9775

58.4315

134.709

134.709

3877.25

200000

500

0.6

50

OK

1.80715e-15

4745.3

6519.31

0.25

231.672

231.672

6750.98

200000

500

0.6

80

OK

4.12282e-12

1668.46

1821.63

1.75

388.674

222.099

2210.31

200000

500

0.6

80

OK

4.12282e-12

1646.45

1701.88

1.75

388.003

221.716

2089.88

200000

500

0.6

1

OK

1.33746e-15

2307.48

2204.81

2458.84

7250.81

0.25

70.4825

115.168

243.527

243.527

7494.34

500000

500

0.6

50

OoM (in setup stage)

500000

500

0.6

80

OK

1.29539e-12

4531.16

4911.71

1.75

971.737

555.278

5883.45

500000

500

0.6

80

OK

1.29539e-12

4476.63

4614.07

1.75

968.549

553.457

5582.62

500000

500

0.6

1

OoM (in setup stage)

1000000

500

0.6

50

OoM (in setup stage)

1000000

500

0.6

80

OoM (in setup stage)

1000000

500

0.6

80

OoM (in setup stage)

1000000

500

0.6

1

OoM (in setup stage)