File: t_FunctionalChaos_ishigami.expout

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###################################
class=AdaptiveStrategy implementation=class=CleaningStrategy maximum size=20 significance factor=1e-06 derived from class=AdaptiveStrategyImplementation maximumDimension=84
ProjectionStrategyImplementation
- coefficients: dimension=21
- residual: 0.0313673
- relative error: 0.0178023
- measure: Distribution
- weighted experiment: WeightedExperiment
- input sample: size= 250 x dimension= 3
- output sample: size= 250 x dimension= 1
- weights: dimension= 250
- design: size= 250

residuals= [0.0313673]
relativeErrors= [0.0178023]
mean=3.46342005 absolute error=0.0365799482
variance=13.50334313 absolute error=0.3412448109
Sobol index 0 = 0.31585299 absolute error=0.0019477974
Sobol index 1 = 0.42761607 absolute error=0.0147950720
Sobol index 2 = 0.00000169 absolute error=0.0000016866
Sobol index [0,1] =0.00001628 absolute error=0.0000162807
Sobol index [0,2] =0.25602203 absolute error=0.0123383686
Sobol index [1,2] =0.00035373 absolute error=0.0003537299
Sobol index [0,1,2] =0.00013721 absolute error=0.0001372088
Sobol total index 0 =0.57202851 absolute error=0.0144396556
Sobol total index 1 =0.42812329 absolute error=0.0142878525
Sobol total index 2 =0.25651466 absolute error=0.0128309938
Sobol total index [0,1] =0.00015349 absolute error=0.0001534896
Sobol total index [0,2] =0.25615924 absolute error=0.0124755774
Sobol total index [1,2] =0.00049094 absolute error=0.0004909387
Sobol total index  [0,1,2] =0.00013721 absolute error=0.0001372088
Sobol grouped index [0,1] =0.74348534 absolute error=0.0128309938
Sobol grouped index [0,2] =0.57187671 absolute error=0.0142878525
Sobol grouped index [1,2] =0.42797149 absolute error=0.0144396556
Sobol grouped index  [0,1,2] =1.00000000 absolute error=0.0000000000
Sobol grouped total index  [0,1,2] =1.00000000 absolute error=0.0000000000
Part of variance
1, 1, [1,0,0], 0.1925
4, 7, [0,2,0], 0.0262
5, 10, [3,0,0], 0.1211
6, 15, [1,0,2], 0.1538
7, 30, [0,4,0], 0.2821
8, 35, [5,0,0], 0.0022
9, 40, [3,0,2], 0.0859
13, 49, [1,0,4], 0.0159
16, 77, [0,6,0], 0.1193
FunctionalChaosSobolIndices
- input dimension=3
- output dimension=1
- basis size=21
- mean=[3.46342]
- std-dev=[3.67469]

| Index | Multi-index   | Variance part |
|-------|---------------|---------------|
|     7 | [0,4,0]       | 0.282068      |
|     1 | [1,0,0]       | 0.192489      |
|     6 | [1,0,2]       | 0.153831      |
|     5 | [3,0,0]       | 0.121123      |
|    16 | [0,6,0]       | 0.119296      |
|     9 | [3,0,2]       | 0.085949      |
|     4 | [0,2,0]       | 0.0262396     |
|    13 | [1,0,4]       | 0.015865      |

| Input | Name          | Sobol' index  | Total index   |
|-------|---------------|---------------|---------------|
|     0 | X1            | 0.315853      | 0.572029      |
|     1 | X2            | 0.427616      | 0.428123      |
|     2 | X3            | 1.68656e-06   | 0.256515      |


###################################
class=AdaptiveStrategy implementation=class=CleaningStrategy maximum size=20 significance factor=1e-06 derived from class=AdaptiveStrategyImplementation maximumDimension=84
ProjectionStrategyImplementation
- coefficients: dimension=21
- residual: 0.032434
- relative error: 0.0196503
- measure: Distribution
- weighted experiment: WeightedExperiment
- input sample: size= 250 x dimension= 3
- output sample: size= 250 x dimension= 1
- weights: dimension= 250
- design: size= 250

residuals= [0.032434]
relativeErrors= [0.0196503]
mean=3.54042934 absolute error=0.0404293402
variance=13.37475093 absolute error=0.4698370155
Sobol index 0 = 0.31288968 absolute error=0.0010155152
Sobol index 1 = 0.45251412 absolute error=0.0101029787
Sobol index 2 = 0.00039482 absolute error=0.0003948151
Sobol index [0,1] =0.00050315 absolute error=0.0005031478
Sobol index [0,2] =0.23225190 absolute error=0.0114317673
Sobol index [1,2] =0.00130394 absolute error=0.0013039361
Sobol index [0,1,2] =0.00014240 absolute error=0.0001424047
Sobol total index 0 =0.54578713 absolute error=0.0118017299
Sobol total index 1 =0.45446361 absolute error=0.0120524673
Sobol total index 2 =0.23409305 absolute error=0.0095906113
Sobol total index [0,1] =0.00064555 absolute error=0.0006455525
Sobol total index [0,2] =0.23239430 absolute error=0.0112893626
Sobol total index [1,2] =0.00144634 absolute error=0.0014463408
Sobol total index  [0,1,2] =0.00014240 absolute error=0.0001424047
Sobol grouped index [0,1] =0.76590695 absolute error=0.0095906113
Sobol grouped index [0,2] =0.54553639 absolute error=0.0120524673
Sobol grouped index [1,2] =0.45421287 absolute error=0.0118017299
Sobol grouped index  [0,1,2] =1.00000000 absolute error=0.0000000000
Sobol grouped total index  [0,1,2] =1.00000000 absolute error=0.0000000000
Part of variance
1, 1, [1,0,0], 0.1932
2, 7, [0,2,0], 0.0234
3, 10, [3,0,0], 0.1168
4, 15, [1,0,2], 0.1254
6, 30, [0,4,0], 0.2877
7, 35, [5,0,0], 0.0028
8, 40, [3,0,2], 0.0911
10, 49, [1,0,4], 0.0145
14, 58, [5,0,1], 0.0011
17, 77, [0,6,0], 0.1414
FunctionalChaosSobolIndices
- input dimension=3
- output dimension=1
- basis size=21
- mean=[3.54043]
- std-dev=[3.65715]

| Index | Multi-index   | Variance part |
|-------|---------------|---------------|
|     6 | [0,4,0]       | 0.28771       |
|     1 | [1,0,0]       | 0.193223      |
|    17 | [0,6,0]       | 0.141372      |
|     4 | [1,0,2]       | 0.125406      |
|     3 | [3,0,0]       | 0.116822      |
|     8 | [3,0,2]       | 0.091121      |
|     2 | [0,2,0]       | 0.0234323     |
|    10 | [1,0,4]       | 0.0144881     |

| Input | Name          | Sobol' index  | Total index   |
|-------|---------------|---------------|---------------|
|     0 | X1            | 0.31289       | 0.545787      |
|     1 | X2            | 0.452514      | 0.454464      |
|     2 | X3            | 0.000394815   | 0.234093      |


###################################
class=AdaptiveStrategy implementation=class=CleaningStrategy maximum size=20 significance factor=1e-06 derived from class=AdaptiveStrategyImplementation maximumDimension=84
ProjectionStrategyImplementation
- coefficients: dimension=21
- residual: 0.0290505
- relative error: 0.0154051
- measure: Distribution
- weighted experiment: WeightedExperiment
- input sample: size= 250 x dimension= 3
- output sample: size= 250 x dimension= 1
- weights: dimension= 250
- design: size= 250

residuals= [0.0290505]
relativeErrors= [0.0154051]
mean=3.52113827 absolute error=0.0211382679
variance=13.62209540 absolute error=0.2224925455
Sobol index 0 = 0.31794192 absolute error=0.0040367337
Sobol index 1 = 0.43569734 absolute error=0.0067138095
Sobol index 2 = 0.00000141 absolute error=0.0000014063
Sobol index [0,1] =0.00004580 absolute error=0.0000458036
Sobol index [0,2] =0.24415868 absolute error=0.0004750191
Sobol index [1,2] =0.00043642 absolute error=0.0004364176
Sobol index [0,1,2] =0.00171843 absolute error=0.0017184293
Sobol total index 0 =0.56386484 absolute error=0.0062759857
Sobol total index 1 =0.43789799 absolute error=0.0045131590
Sobol total index 2 =0.24631494 absolute error=0.0026312723
Sobol total index [0,1] =0.00176423 absolute error=0.0017642330
Sobol total index [0,2] =0.24587711 absolute error=0.0021934484
Sobol total index [1,2] =0.00215485 absolute error=0.0021548469
Sobol total index  [0,1,2] =0.00171843 absolute error=0.0017184293
Sobol grouped index [0,1] =0.75368506 absolute error=0.0026312723
Sobol grouped index [0,2] =0.56210201 absolute error=0.0045131590
Sobol grouped index [1,2] =0.43613516 absolute error=0.0062759857
Sobol grouped index  [0,1,2] =1.00000000 absolute error=0.0000000000
Sobol grouped total index  [0,1,2] =1.00000000 absolute error=0.0000000000
Part of variance
1, 1, [1,0,0], 0.1968
2, 7, [0,2,0], 0.0244
3, 10, [3,0,0], 0.1188
4, 15, [1,0,2], 0.1444
6, 30, [0,4,0], 0.2713
7, 35, [5,0,0], 0.0023
8, 40, [3,0,2], 0.0833
11, 49, [1,0,4], 0.0164
15, 68, [2,2,2], 0.0015
17, 77, [0,6,0], 0.1395
FunctionalChaosSobolIndices
- input dimension=3
- output dimension=1
- basis size=21
- mean=[3.52114]
- std-dev=[3.69081]

| Index | Multi-index   | Variance part |
|-------|---------------|---------------|
|     6 | [0,4,0]       | 0.271326      |
|     1 | [1,0,0]       | 0.19683       |
|     4 | [1,0,2]       | 0.144447      |
|    17 | [0,6,0]       | 0.139531      |
|     3 | [3,0,0]       | 0.118849      |
|     8 | [3,0,2]       | 0.0832571     |
|     2 | [0,2,0]       | 0.0244348     |
|    11 | [1,0,4]       | 0.0164067     |

| Input | Name          | Sobol' index  | Total index   |
|-------|---------------|---------------|---------------|
|     0 | X1            | 0.317942      | 0.563865      |
|     1 | X2            | 0.435697      | 0.437898      |
|     2 | X3            | 1.40628e-06   | 0.246315      |


###################################
class=AdaptiveStrategy implementation=class=FixedStrategy derived from class=AdaptiveStrategyImplementation maximumDimension=84
ProjectionStrategyImplementation
- coefficients: dimension=84
- residual: 0.0241084
- relative error: 0.0105163
- measure: Distribution
- weighted experiment: WeightedExperiment
- input sample: size= 250 x dimension= 3
- output sample: size= 250 x dimension= 1
- weights: dimension= 250
- design: size= 250

residuals= [0.0241084]
relativeErrors= [0.0105163]
mean=3.45801565 absolute error=0.0419843459
variance=13.83830987 absolute error=0.0062780708
Sobol index 0 = 0.30611627 absolute error=0.0077889249
Sobol index 1 = 0.43754215 absolute error=0.0048689900
Sobol index 2 = 0.00129087 absolute error=0.0012908667
Sobol index [0,1] =0.00254496 absolute error=0.0025449599
Sobol index [0,2] =0.24156455 absolute error=0.0021191136
Sobol index [1,2] =0.00386170 absolute error=0.0038616988
Sobol index [0,1,2] =0.00707950 absolute error=0.0070795030
Sobol total index 0 =0.55730528 absolute error=0.0002835755
Sobol total index 1 =0.45102832 absolute error=0.0086171717
Sobol total index 2 =0.25379662 absolute error=0.0101129549
Sobol total index [0,1] =0.00962446 absolute error=0.0096244629
Sobol total index [0,2] =0.24864405 absolute error=0.0049603894
Sobol total index [1,2] =0.01094120 absolute error=0.0109412018
Sobol total index  [0,1,2] =0.00707950 absolute error=0.0070795030
Sobol grouped index [0,1] =0.74620338 absolute error=0.0101129549
Sobol grouped index [0,2] =0.54897168 absolute error=0.0086171717
Sobol grouped index [1,2] =0.44269472 absolute error=0.0002835755
Sobol grouped index  [0,1,2] =1.00000000 absolute error=0.0000000000
Sobol grouped total index  [0,1,2] =1.00000000 absolute error=0.0000000000
Part of variance
1, 1, [1,0,0], 0.1734
7, 7, [0,2,0], 0.0308
10, 10, [3,0,0], 0.1288
11, 11, [2,1,0], 0.0011
12, 12, [2,0,1], 0.0011
15, 15, [1,0,2], 0.1355
20, 20, [4,0,0], 0.0011
22, 22, [3,0,1], 0.0012
27, 27, [1,2,1], 0.0015
28, 28, [1,1,2], 0.0015
30, 30, [0,4,0], 0.2740
33, 33, [0,1,3], 0.0013
35, 35, [5,0,0], 0.0011
40, 40, [3,0,2], 0.0791
49, 49, [1,0,4], 0.0200
56, 56, [6,0,0], 0.0012
77, 77, [0,6,0], 0.1320
FunctionalChaosSobolIndices
- input dimension=3
- output dimension=1
- basis size=84
- mean=[3.45802]
- std-dev=[3.71999]

| Index | Multi-index   | Variance part |
|-------|---------------|---------------|
|    30 | [0,4,0]       | 0.274045      |
|     1 | [1,0,0]       | 0.17341       |
|    15 | [1,0,2]       | 0.135465      |
|    77 | [0,6,0]       | 0.131993      |
|    10 | [3,0,0]       | 0.128841      |
|    40 | [3,0,2]       | 0.0791251     |
|     7 | [0,2,0]       | 0.0308467     |
|    49 | [1,0,4]       | 0.0200327     |

| Input | Name          | Sobol' index  | Total index   |
|-------|---------------|---------------|---------------|
|     0 | X1            | 0.306116      | 0.557305      |
|     1 | X2            | 0.437542      | 0.451028      |
|     2 | X3            | 0.00129087    | 0.253797      |


###################################
class=AdaptiveStrategy implementation=class=FixedStrategy derived from class=AdaptiveStrategyImplementation maximumDimension=84
ProjectionStrategyImplementation
- coefficients: dimension=84
- residual: 0.0248146
- relative error: 0.0115022
- measure: Distribution
- weighted experiment: WeightedExperiment
- input sample: size= 250 x dimension= 3
- output sample: size= 250 x dimension= 1
- weights: dimension= 250
- design: size= 250

residuals= [0.0248146]
relativeErrors= [0.0115022]
mean=3.48612447 absolute error=0.0138755275
variance=14.20287519 absolute error=0.3582872529
Sobol index 0 = 0.30217019 absolute error=0.0117349971
Sobol index 1 = 0.44116695 absolute error=0.0012441910
Sobol index 2 = 0.00453457 absolute error=0.0045345679
Sobol index [0,1] =0.00771703 absolute error=0.0077170275
Sobol index [0,2] =0.23077723 absolute error=0.0129064377
Sobol index [1,2] =0.00605848 absolute error=0.0060584783
Sobol index [0,1,2] =0.00757555 absolute error=0.0075755522
Sobol total index 0 =0.54824000 absolute error=0.0093488551
Sobol total index 1 =0.46251801 absolute error=0.0201068669
Sobol total index 2 =0.24894582 absolute error=0.0052621606
Sobol total index [0,1] =0.01529258 absolute error=0.0152925796
Sobol total index [0,2] =0.23835278 absolute error=0.0053308856
Sobol total index [1,2] =0.01363403 absolute error=0.0136340305
Sobol total index  [0,1,2] =0.00757555 absolute error=0.0075755522
Sobol grouped index [0,1] =0.75105418 absolute error=0.0052621606
Sobol grouped index [0,2] =0.53748199 absolute error=0.0201068669
Sobol grouped index [1,2] =0.45176000 absolute error=0.0093488551
Sobol grouped index  [0,1,2] =1.00000000 absolute error=0.0000000000
Sobol grouped total index  [0,1,2] =1.00000000 absolute error=0.0000000000
Part of variance
1, 1, [1,0,0], 0.2018
3, 3, [0,0,1], 0.0019
7, 7, [0,2,0], 0.0289
10, 10, [3,0,0], 0.0974
15, 15, [1,0,2], 0.1304
18, 18, [0,1,2], 0.0015
19, 19, [0,0,3], 0.0015
24, 24, [2,1,1], 0.0014
25, 25, [2,0,2], 0.0012
26, 26, [1,3,0], 0.0028
27, 27, [1,2,1], 0.0014
30, 30, [0,4,0], 0.2794
35, 35, [5,0,0], 0.0021
40, 40, [3,0,2], 0.0750
49, 49, [1,0,4], 0.0215
57, 57, [5,1,0], 0.0012
77, 77, [0,6,0], 0.1327
FunctionalChaosSobolIndices
- input dimension=3
- output dimension=1
- basis size=84
- mean=[3.48612]
- std-dev=[3.76867]

| Index | Multi-index   | Variance part |
|-------|---------------|---------------|
|    30 | [0,4,0]       | 0.279403      |
|     1 | [1,0,0]       | 0.201846      |
|    77 | [0,6,0]       | 0.132715      |
|    15 | [1,0,2]       | 0.130438      |
|    10 | [3,0,0]       | 0.0973569     |
|    40 | [3,0,2]       | 0.075033      |
|     7 | [0,2,0]       | 0.0289148     |
|    49 | [1,0,4]       | 0.0215178     |

| Input | Name          | Sobol' index  | Total index   |
|-------|---------------|---------------|---------------|
|     0 | X1            | 0.30217       | 0.54824       |
|     1 | X2            | 0.441167      | 0.462518      |
|     2 | X3            | 0.00453457    | 0.248946      |


###################################
class=AdaptiveStrategy implementation=class=FixedStrategy derived from class=AdaptiveStrategyImplementation maximumDimension=84
ProjectionStrategyImplementation
- coefficients: dimension=84
- residual: 0.024718
- relative error: 0.0111528
- measure: Distribution
- weighted experiment: WeightedExperiment
- input sample: size= 250 x dimension= 3
- output sample: size= 250 x dimension= 1
- weights: dimension= 250
- design: size= 250

residuals= [0.024718]
relativeErrors= [0.0111528]
mean=3.52947075 absolute error=0.0294707509
variance=13.72885940 absolute error=0.1157285436
Sobol index 0 = 0.31135035 absolute error=0.0025548383
Sobol index 1 = 0.42587317 absolute error=0.0165379771
Sobol index 2 = 0.00040887 absolute error=0.0004088663
Sobol index [0,1] =0.00314638 absolute error=0.0031463799
Sobol index [0,2] =0.25121369 absolute error=0.0075300230
Sobol index [1,2] =0.00251830 absolute error=0.0025182974
Sobol index [0,1,2] =0.00548925 absolute error=0.0054892488
Sobol total index 0 =0.57119967 absolute error=0.0136108134
Sobol total index 1 =0.43702709 absolute error=0.0053840510
Sobol total index 2 =0.25963010 absolute error=0.0159464355
Sobol total index [0,1] =0.00863563 absolute error=0.0086356287
Sobol total index [0,2] =0.25670294 absolute error=0.0130192718
Sobol total index [1,2] =0.00800755 absolute error=0.0080075462
Sobol total index  [0,1,2] =0.00548925 absolute error=0.0054892488
Sobol grouped index [0,1] =0.74036990 absolute error=0.0159464355
Sobol grouped index [0,2] =0.56297291 absolute error=0.0053840510
Sobol grouped index [1,2] =0.42880033 absolute error=0.0136108134
Sobol grouped index  [0,1,2] =1.00000000 absolute error=0.0000000000
Sobol grouped total index  [0,1,2] =1.00000000 absolute error=0.0000000000
Part of variance
1, 1, [1,0,0], 0.1916
7, 7, [0,2,0], 0.0213
10, 10, [3,0,0], 0.1177
15, 15, [1,0,2], 0.1461
24, 24, [2,1,1], 0.0011
30, 30, [0,4,0], 0.2512
35, 35, [5,0,0], 0.0020
40, 40, [3,0,2], 0.0816
49, 49, [1,0,4], 0.0217
68, 68, [2,2,2], 0.0011
77, 77, [0,6,0], 0.1523
FunctionalChaosSobolIndices
- input dimension=3
- output dimension=1
- basis size=84
- mean=[3.52947]
- std-dev=[3.70525]

| Index | Multi-index   | Variance part |
|-------|---------------|---------------|
|    30 | [0,4,0]       | 0.2512        |
|     1 | [1,0,0]       | 0.191573      |
|    77 | [0,6,0]       | 0.152284      |
|    15 | [1,0,2]       | 0.146098      |
|    10 | [3,0,0]       | 0.117742      |
|    40 | [3,0,2]       | 0.0816243     |
|    49 | [1,0,4]       | 0.0217042     |
|     7 | [0,2,0]       | 0.0212958     |

| Input | Name          | Sobol' index  | Total index   |
|-------|---------------|---------------|---------------|
|     0 | X1            | 0.31135       | 0.5712        |
|     1 | X2            | 0.425873      | 0.437027      |
|     2 | X3            | 0.000408866   | 0.25963       |