Model
Parameters
Type
Original
EVT cat.
Stationary cat.
states
storm.sparse.gmres.0.001
storm.sparse.ovi-topo.1e-06
storm.sparse.ovi-topo.0.001
storm.sparse.ii-topo.0.001
storm.sparse.lu.0.001
storm.sparse.luexact.ignored
storm.sparse.ii-topo.1e-06
storm.sparse.gmres-topo.0.001
storm.sparse.vi.1e-06
storm.sparse.ii.1e-06
storm.sparse.ii.0.001
storm.sparse.ovi.0.001
storm.sparse.lu-topo.0.001
storm.sparse.gmres-topo.1e-06
storm.sparse.gmres.1e-06
storm.sparse.luexact-topo.ignored
storm.sparse.vi-topo.1e-06
storm.sparse.ovi.1e-06
storm.sparse.vi.0.001
storm.sparse.vi-topo.0.001
brp
DTMC
1024-5
PRISM
acyclic
singleton-recurrent
82952
0.287
0.174
0.197
0.202
0.201
23.389
0.206
0.174
0.897
0.885
0.893
2.259
0.216
0.174
0.241
18.622
0.173
1.959
0.856
0.201
brp
DTMC
2048-4
PRISM
acyclic
singleton-recurrent
139271
0.660
0.498
0.484
0.520
0.511
77.409
0.434
0.421
2.483
2.772
3.304
7.306
0.426
0.415
1.182
64.045
0.452
7.523
2.398
0.433
brp
DTMC
2048-5
PRISM
acyclic
singleton-recurrent
165896
0.963
0.746
0.710
0.778
0.758
122.067
0.629
0.725
3.089
3.431
3.832
7.825
0.673
0.625
1.405
102.253
0.607
8.810
3.170
0.632
coupon
DTMC
5-2-5
PGCL
cyclic
singleton-recurrent
5397
0.010
0.006
0.024
0.007
0.010
0.128
0.007
0.005
0.008
0.010
0.009
0.026
0.007
0.005
0.007
0.072
0.008
0.009
0.007
0.005
coupon
DTMC
7-3-5
PGCL
cyclic
singleton-recurrent
337710
1.961
1.312
1.101
1.196
4.676
1215.948
1.245
1.057
2.201
2.348
2.128
2.057
1.113
1.318
2.206
20.514
1.261
2.150
1.909
1.123
coupon
DTMC
9-4-5
PGCL
cyclic
singleton-recurrent
27642923
TO
TO
TO
TO
TO
TO
TO
TO
TO
TO
TO
TO
TO
TO
TO
TO
TO
TO
TO
TO
crafted-branch
DTMC
0.001-20-1000-100
PRISM
acyclic
mixed
107079
0.091
0.101
0.109
0.092
0.119
0.637
0.104
0.094
0.101
0.117
0.088
0.107
0.103
0.101
0.102
0.482
0.094
0.089
0.089
0.103
crafted-branch
DTMC
0.001-20-1000-1000
PRISM
acyclic
mixed
1007079
1.148
1.027
1.192
0.989
1.163
4.774
1.012
1.014
1.113
1.040
0.982
0.997
1.118
1.080
0.997
4.758
1.140
1.021
1.240
1.182
crafted-branch
DTMC
0.001-20-1000-10000
PRISM
acyclic
mixed
10007079
10.497
10.490
11.507
13.057
10.478
60.867
10.381
11.179
10.452
10.728
13.415
10.445
10.415
10.445
10.557
63.540
10.230
10.886
10.345
10.432
crowds
DTMC
4-15
PRISM
cyclic
singleton-recurrent
119800
0.276
0.275
0.308
0.400
0.319
4.056
0.394
0.267
0.288
0.333
0.316
0.291
0.287
0.274
0.270
1.967
0.260
0.306
0.267
0.272
crowds
DTMC
5-10
PRISM
cyclic
singleton-recurrent
111294
0.228
0.314
0.271
0.410
0.277
3.789
0.500
0.410
0.232
0.281
0.410
0.255
0.279
0.294
0.229
1.555
0.268
0.264
0.219
0.260
crowds
DTMC
5-15
PRISM
cyclic
singleton-recurrent
592060
6.100
5.413
5.591
8.580
5.877
23.382
8.796
5.404
5.659
6.547
6.340
5.962
5.439
5.490
5.686
13.988
5.446
5.798
5.541
6.138
crowds
DTMC
6-10
PRISM
cyclic
singleton-recurrent
352535
2.103
2.618
3.265
4.345
2.516
14.432
4.086
2.503
2.139
2.255
2.227
2.300
2.668
2.515
2.285
7.105
2.510
2.200
2.111
2.509
crowds
DTMC
6-5
PRISM
cyclic
singleton-recurrent
18817
0.023
0.041
0.029
0.035
0.036
0.411
0.044
0.025
0.037
0.047
0.028
0.045
0.029
0.028
0.041
0.225
0.048
0.046
0.025
0.025
egl
DTMC
5-2
PRISM
acyclic
singleton-recurrent
33790
0.060
0.059
0.063
0.061
0.088
0.536
0.045
0.079
0.045
0.050
0.068
0.054
0.053
0.045
0.047
0.194
0.043
0.051
0.056
0.060
egl
DTMC
5-4
PRISM
acyclic
singleton-recurrent
74750
0.145
0.149
0.175
0.148
0.172
1.189
0.158
0.151
0.150
0.168
0.158
0.173
0.147
0.158
0.151
0.374
0.205
0.145
0.146
0.150
egl
DTMC
5-6
PRISM
acyclic
singleton-recurrent
115710
0.355
0.386
0.296
0.300
0.396
2.216
0.329
0.405
0.295
0.345
0.323
0.298
0.350
0.342
0.308
0.794
0.320
0.380
0.384
0.379
egl
DTMC
5-8
PRISM
acyclic
singleton-recurrent
156670
0.539
0.594
0.573
0.584
0.612
2.626
0.639
0.670
0.651
0.650
0.586
0.633
0.552
0.660
0.639
1.063
0.592
0.657
0.542
0.620
embedded
CTMC
4
PRISM
cyclic
singleton-recurrent
5168
0.010
0.486
0.316
0.472
0.028
42.193
0.702
0.010
16.568
328.932
277.721
65.700
0.019
0.010
0.009
0.482
0.115
145.697
0.165
0.034
embedded
CTMC
5
PRISM
cyclic
singleton-recurrent
6013
0.031
0.517
0.361
0.602
0.058
62.158
0.746
0.020
20.028
384.864
355.028
83.002
0.029
0.012
0.010
0.689
0.108
176.171
0.203
0.016
embedded
CTMC
6
PRISM
cyclic
singleton-recurrent
6858
0.010
0.561
0.370
0.526
0.059
82.085
0.778
0.015
24.199
462.972
369.498
86.437
0.017
0.015
0.013
1.240
0.130
194.245
0.208
0.015
embedded
CTMC
7
PRISM
cyclic
singleton-recurrent
7703
0.019
0.571
0.403
0.587
0.053
47.909
0.790
0.026
24.830
517.599
440.629
113.693
0.022
0.017
0.015
1.536
0.131
218.631
0.258
0.027
embedded
CTMC
8
PRISM
cyclic
singleton-recurrent
8548
0.018
0.721
0.373
0.630
0.052
130.882
0.863
0.020
25.543
575.192
470.720
113.235
0.030
0.031
0.014
1.553
0.134
248.982
0.288
0.038
haddad-monmege
DTMC
20-0.7
PRISM
fully-connected
singleton-recurrent
41
0.001
0.878
0.429
0.608
0.001
0.018
1.159
0.002
0.071
1.158
0.581
0.486
0.001
0.001
0.001
0.001
0.052
0.912
0.001
0.001
haddad-monmege
DTMC
300-0.7
PRISM
fully-connected
singleton-recurrent
601
0.002
TO
TO
TO
0.003
0.063
TO
0.002
0.796
TO
TO
TO
0.003
0.002
0.005
0.064
0.881
TO
0.002
0.002
herman
DTMC
11
PRISM
cyclic
mixed
2048
0.029
0.009
0.009
0.022
0.231
TO
0.015
0.019
0.029
0.041
0.053
0.039
0.065
0.011
0.054
TO
0.018
0.021
0.042
0.029
herman
DTMC
13
PRISM
cyclic
mixed
8192
0.300
0.072
0.070
0.114
15.042
TO
0.101
0.111
0.190
0.428
0.373
0.191
0.739
0.075
0.373
TO
0.067
0.220
0.119
0.066
herman
DTMC
15
PRISM
cyclic
mixed
32768
3.968
0.588
0.581
0.806
1358.177
MO
0.842
0.652
2.530
6.342
4.319
2.090
42.444
0.648
4.389
TO
0.550
3.299
1.554
0.608
herman
DTMC
17
PRISM
cyclic
mixed
131072
40.530
5.212
5.224
6.971
TO
MO
7.225
5.623
28.248
64.038
47.947
25.489
MO
5.902
50.080
MO
4.910
37.210
15.297
5.215
herman
DTMC
9
PRISM
cyclic
mixed
512
0.003
0.014
0.002
0.002
0.043
40.290
0.018
0.002
0.003
0.004
0.004
0.002
0.011
0.002
0.003
7.910
0.002
0.013
0.002
0.002
leader_sync
DTMC
4-2
PRISM
cyclic
singleton-recurrent
61
0.000
0.001
0.001
0.001
0.024
0.002
0.000
0.001
0.028
0.001
0.001
0.001
0.012
0.001
0.001
0.002
0.001
0.001
0.018
0.014
leader_sync
DTMC
4-3
PRISM
cyclic
singleton-recurrent
274
0.001
0.001
0.001
0.001
0.001
0.006
0.001
0.002
0.001
0.001
0.001
0.001
0.001
0.001
0.001
0.003
0.001
0.001
0.001
0.001
leader_sync
DTMC
4-4
PRISM
cyclic
singleton-recurrent
812
0.001
0.001
0.002
0.002
0.001
0.014
0.001
0.001
0.001
0.001
0.001
0.002
0.001
0.001
0.001
0.013
0.001
0.001
0.002
0.001
leader_sync
DTMC
5-2
PRISM
cyclic
singleton-recurrent
141
0.001
0.001
0.001
0.003
0.001
0.004
0.001
0.016
0.002
0.001
0.038
0.001
0.001
0.001
0.001
0.003
0.001
0.074
0.001
0.002
leader_sync
DTMC
5-3
PRISM
cyclic
singleton-recurrent
1050
0.002
0.001
0.003
0.032
0.002
0.017
0.001
0.002
0.002
0.002
0.023
0.012
0.002
0.001
0.001
0.009
0.002
0.002
0.002
0.002
leader_sync
DTMC
5-4
PRISM
cyclic
singleton-recurrent
4244
0.005
0.004
0.004
0.004
0.012
0.075
0.005
0.004
0.004
0.005
0.005
0.004
0.005
0.004
0.005
0.031
0.004
0.004
0.006
0.005
lumbroso
DTMC
1000
PRISM
cyclic
singleton-recurrent
51007
0.105
0.056
0.078
0.065
0.098
0.800
0.055
0.067
0.082
0.098
0.094
0.093
0.057
0.058
0.086
0.294
0.055
0.083
0.136
0.080
lumbroso
DTMC
16000
PRISM
cyclic
singleton-recurrent
816127
14.725
7.008
7.456
7.496
15.007
27.407
7.027
6.914
14.973
15.265
14.756
15.803
6.916
7.149
14.687
10.781
6.799
15.039
14.973
6.789
lumbroso
DTMC
4000
PRISM
cyclic
singleton-recurrent
204031
0.941
0.518
0.522
0.523
0.936
4.452
0.517
0.505
0.891
0.974
0.981
0.935
0.532
0.506
0.908
1.498
0.537
1.013
0.896
0.533
lumbroso
DTMC
64000
PRISM
cyclic
singleton-recurrent
3264511
269.687
113.368
128.609
116.194
231.988
MO
115.911
105.271
227.447
223.062
223.798
268.308
107.967
106.631
228.630
121.083
103.558
250.250
235.369
127.277
nand
DTMC
20-2
PRISM
acyclic
singleton-recurrent
154942
0.623
0.569
0.594
0.610
0.634
5.696
0.561
0.658
0.707
0.677
0.700
0.801
0.558
0.573
0.549
1.714
0.544
0.755
0.602
0.656
nand
DTMC
20-3
PRISM
acyclic
singleton-recurrent
231552
1.358
1.223
1.297
1.265
1.614
9.968
1.266
1.226
1.427
1.599
1.693
2.460
1.409
1.318
1.269
3.186
1.221
1.713
1.703
1.374
nand
DTMC
20-4
PRISM
acyclic
singleton-recurrent
308162
2.173
2.171
2.160
2.229
2.577
14.967
2.282
2.157
2.462
2.819
2.624
3.628
2.268
2.161
2.529
5.138
2.213
3.172
2.717
2.217
nand
DTMC
40-1
PRISM
acyclic
singleton-recurrent
1004862
21.792
22.310
22.952
22.678
22.742
96.935
23.046
26.049
22.825
23.085
26.880
24.058
22.291
21.985
21.542
31.156
21.845
26.358
24.303
22.395
nand
DTMC
40-2
PRISM
acyclic
singleton-recurrent
2003082
83.959
88.025
88.732
88.697
87.614
MO
88.031
102.104
88.234
88.944
99.888
101.370
87.373
86.532
83.993
107.272
86.601
110.108
89.522
87.514
nand
DTMC
40-4
PRISM
acyclic
singleton-recurrent
3999522
351.732
350.269
358.832
353.572
345.667
MO
347.627
350.315
357.966
355.814
354.196
395.423
347.888
346.619
342.219
391.493
363.271
373.849
357.352
344.608
oscillators
DTMC
6-10-0.1-1-0.1-1.0
PRISM
cyclic
mixed
5006
0.015
0.009
0.009
0.011
0.018
29.926
0.010
0.010
0.020
0.041
0.031
0.020
0.012
0.028
0.016
2.163
0.009
0.031
0.014
0.010
oscillators
DTMC
6-8-0.1-1-0.1-1.0
PRISM
cyclic
mixed
1717
0.004
0.004
0.004
0.004
0.005
0.434
0.004
0.003
0.006
0.009
0.011
0.006
0.004
0.004
0.006
0.076
0.004
0.007
0.003
0.003
oscillators
DTMC
7-10-0.1-1-0.1-1.0
PRISM
cyclic
mixed
11441
0.039
0.024
0.023
0.032
0.068
880.263
0.027
0.026
0.043
0.076
0.058
0.052
0.031
0.050
0.060
15.281
0.026
0.065
0.028
0.025
oscillators
DTMC
8-10-0.1-1-0.1-1.0
PRISM
cyclic
mixed
24311
0.082
0.064
0.066
0.082
0.339
TO
0.076
0.094
0.164
0.275
0.246
0.232
0.091
0.078
0.100
60.897
0.064
0.259
0.077
0.061
oscillators
DTMC
8-8-0.1-1-0.1-1.0
PRISM
cyclic
mixed
6436
0.015
0.024
0.014
0.043
0.033
26.886
0.017
0.014
0.042
0.068
0.048
0.048
0.018
0.015
0.019
1.169
0.028
0.057
0.017
0.013
philosophers-dl
CTMC
10
GreatSPN
fully-connected
singleton-recurrent
6726
0.011
0.015
0.012
0.017
8.792
TO
0.020
0.010
0.013
0.016
0.018
0.015
7.864
0.010
0.010
TO
0.013
0.015
0.010
0.009
philosophers-dl
CTMC
12
GreatSPN
fully-connected
singleton-recurrent
39202
0.064
0.123
0.074
0.109
TO
TO
0.150
0.061
0.080
0.139
0.120
0.077
TO
0.063
0.064
TO
0.077
0.115
0.060
0.058
philosophers-dl
CTMC
16
GreatSPN
fully-connected
singleton-recurrent
1331714
2.766
6.165
5.511
7.338
TO
MO
9.622
2.977
4.817
9.630
7.859
5.039
TO
3.597
3.598
MO
5.028
5.621
3.615
107.527
philosophers-dl
CTMC
8
GreatSPN
fully-connected
singleton-recurrent
1154
0.002
0.003
0.003
0.003
0.044
TO
0.002
0.004
0.024
0.003
0.002
0.003
0.040
0.003
0.024
TO
0.021
0.010
0.002
0.002