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Jamal
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Looking for a faster way to compute Computing rowMeans, for every combination of columns

The data:

The list of Column Combinationscolumn combinations:

The loop:

CAUTION

CAUTION

The following code takes 2 minutes to run on my pcPC (Inin fact, pre1pre1 has 23 columns and takes more than 37 minutes to run):

Output of the above reproducible example

        combin            me        rmse      smape
1          J-L -0.0015764696 0.003398144 0.09119202
2          J-P -0.0011556362 0.003281430 0.08393609
3        E-J-L -0.0016195251 0.003424861 0.08216952
4        E-J-P -0.0013389696 0.003357466 0.07727013
5        F-J-P -0.0013000807 0.003448260 0.07759392
6        G-H-J -0.0018223029 0.003387601 0.06759025
7        G-I-J -0.0018111918 0.003316197 0.06720583
8        G-J-L -0.0014473029 0.003126429 0.07643285
9        G-J-P -0.0011667474 0.003091874 0.07144020
10       G-J-Q -0.0015584140 0.003436998 0.07965237
11       G-J-R -0.0010084140 0.003394027 0.08194241
12       H-J-L -0.0017556362 0.003236715 0.06739709
13       H-J-P -0.0014750807 0.003194667 0.06236702
14       I-J-L -0.0017445251 0.003162696 0.06825156
15       I-J-P -0.0014639696 0.003108024 0.06322841
16       I-J-R -0.0013056362 0.003443850 0.07335332
17       J-L-P -0.0011000807 0.003086438 0.07352729
18       J-L-Q -0.0014917474 0.003427897 0.08172932
19       J-L-R -0.0009417474 0.003443418 0.08960742
20       J-P-Q -0.0012111918 0.003384422 0.07680148
21     B-G-J-L -0.0014598029 0.003434496 0.07700107
22     B-G-J-P -0.0012493862 0.003418938 0.07643082
23     B-J-L-P -0.0011993862 0.003432305 0.08211289
24     D-G-J-L -0.0015618862 0.003446124 0.07491208
25     D-G-J-P -0.0013514696 0.003416486 0.07432744
26     D-J-L-P -0.0013014696 0.003417190 0.07998359
27     E-G-J-L -0.0015118862 0.003349091 0.07335527
28     E-G-J-P -0.0013014696 0.003321645 0.07178900
29     E-I-J-L -0.0017348029 0.003414617 0.06724261
30     E-I-J-P -0.0015243862 0.003377062 0.06548492
31     E-J-L-P -0.0012514696 0.003320299 0.07745106
32     F-G-J-L -0.0014827196 0.003419382 0.07576092
33     F-G-J-P -0.0012723029 0.003398932 0.07518129
34     F-I-J-P -0.0014952196 0.003443578 0.06884192
35     F-J-L-P -0.0012223029 0.003408147 0.08085604
36     G-H-J-L -0.0016139696 0.003264481 0.06225090
37     G-H-J-P -0.0014035529 0.003252500 0.06138754
38     G-I-J-L -0.0016056362 0.003192294 0.06289348
39     G-I-J-P -0.0013952196 0.003173631 0.05952244
40     G-J-K-L -0.0014535529 0.003434714 0.07694082
41     G-J-K-P -0.0012431362 0.003414584 0.07636996
42     G-J-L-M -0.0014681362 0.003426825 0.07650715
43     G-J-L-N -0.0014535529 0.003434714 0.07694082
44     G-J-L-P -0.0011223029 0.003097579 0.07148546
45     G-J-L-Q -0.0014160529 0.003354734 0.07485276
46     G-J-L-R -0.0010035529 0.003420185 0.08480000
47     G-J-M-P -0.0012577196 0.003410148 0.07593315
48     G-J-N-P -0.0012431362 0.003414584 0.07636996
49     G-J-P-Q -0.0012056362 0.003340910 0.07426441
50     H-J-L-P -0.0013535529 0.003183342 0.06700815
51     H-J-P-Q -0.0014368862 0.003449975 0.06977695
52     I-J-K-P -0.0014660529 0.003434489 0.07001368
53     I-J-L-P -0.0013452196 0.003103169 0.06514130
54     I-J-L-Q -0.0016389696 0.003392922 0.06855015
55     I-J-L-R -0.0012264696 0.003444943 0.07831468
56     I-J-N-P -0.0014660529 0.003434489 0.07001368
57     I-J-P-Q -0.0014285529 0.003368587 0.06791682
58     J-K-L-P -0.0011931362 0.003432281 0.08205326
59     J-L-M-P -0.0012077196 0.003421419 0.08161247
60     J-L-N-P -0.0011931362 0.003432281 0.08205326
61     J-L-P-Q -0.0011556362 0.003353159 0.07995181
62   B-G-J-L-P -0.0011973029 0.003415942 0.07979367
63   B-I-J-L-P -0.0013756362 0.003437632 0.07466828
64   D-G-J-L-P -0.0012789696 0.003409087 0.07809595
65   E-G-I-J-L -0.0016256362 0.003415821 0.06699637
66   E-G-I-J-P -0.0014573029 0.003398820 0.06648042
67   E-G-J-L-P -0.0012389696 0.003324390 0.07606610
68   E-H-J-L-P -0.0014239696 0.003427462 0.07246184
69   E-I-J-L-P -0.0014173029 0.003357870 0.07097378
70   F-G-J-L-P -0.0012156362 0.003397033 0.07878956
71   F-I-J-L-P -0.0013939696 0.003423666 0.07367445
72   G-H-J-L-P -0.0013206362 0.003251859 0.06770566
73   G-I-J-K-P -0.0014106362 0.003447292 0.07011274
74   G-I-J-L-P -0.0013139696 0.003181862 0.06621059
75   G-I-J-L-Q -0.0015489696 0.003404413 0.06893746
76   G-I-J-N-P -0.0014106362 0.003447292 0.07011274
77   G-I-J-P-Q -0.0013806362 0.003395895 0.06843233
78   G-J-K-L-P -0.0011923029 0.003408375 0.07974553
79   G-J-L-M-P -0.0012039696 0.003407449 0.07939387
80   G-J-L-N-P -0.0011923029 0.003408375 0.07974553
81   G-J-L-P-Q -0.0011623029 0.003347930 0.07806216
82   H-I-J-L-P -0.0014989696 0.003391859 0.06651120
83   H-J-L-P-Q -0.0013473029 0.003434350 0.07443353
84   I-J-K-L-P -0.0013706362 0.003419123 0.07461949
85   I-J-L-M-P -0.0013823029 0.003431058 0.07427245
86   I-J-L-N-P -0.0013706362 0.003419123 0.07461949
87   I-J-L-P-Q -0.0013406362 0.003363572 0.07294166
88 E-G-H-J-L-P -0.0013848029 0.003448137 0.07213946
89 E-G-I-J-L-P -0.0013792474 0.003387181 0.07089756
90 F-G-I-J-L-P -0.0013598029 0.003443722 0.07315096
91 G-H-I-J-L-P -0.0014473029 0.003420080 0.06695391
92 G-I-J-K-L-P -0.0013403585 0.003437713 0.07393901
93 G-I-J-L-N-P -0.0013403585 0.003437713 0.07393901
94 G-I-J-L-P-Q -0.0013153585 0.003392820 0.07253884

Example output of the reproducible:

        combin            me        rmse      smape
1          J-L -0.0015764696 0.003398144 0.09119202
2          J-P -0.0011556362 0.003281430 0.08393609
3        E-J-L -0.0016195251 0.003424861 0.08216952
4        E-J-P -0.0013389696 0.003357466 0.07727013
5        F-J-P -0.0013000807 0.003448260 0.07759392
6        G-H-J -0.0018223029 0.003387601 0.06759025
7        G-I-J -0.0018111918 0.003316197 0.06720583
8        G-J-L -0.0014473029 0.003126429 0.07643285
9        G-J-P -0.0011667474 0.003091874 0.07144020
10       G-J-Q -0.0015584140 0.003436998 0.07965237
11       G-J-R -0.0010084140 0.003394027 0.08194241
12       H-J-L -0.0017556362 0.003236715 0.06739709
13       H-J-P -0.0014750807 0.003194667 0.06236702
14       I-J-L -0.0017445251 0.003162696 0.06825156
15       I-J-P -0.0014639696 0.003108024 0.06322841
16       I-J-R -0.0013056362 0.003443850 0.07335332
17       J-L-P -0.0011000807 0.003086438 0.07352729
18       J-L-Q -0.0014917474 0.003427897 0.08172932
19       J-L-R -0.0009417474 0.003443418 0.08960742
20       J-P-Q -0.0012111918 0.003384422 0.07680148
21     B-G-J-L -0.0014598029 0.003434496 0.07700107
22     B-G-J-P -0.0012493862 0.003418938 0.07643082
23     B-J-L-P -0.0011993862 0.003432305 0.08211289
24     D-G-J-L -0.0015618862 0.003446124 0.07491208
25     D-G-J-P -0.0013514696 0.003416486 0.07432744
26     D-J-L-P -0.0013014696 0.003417190 0.07998359
27     E-G-J-L -0.0015118862 0.003349091 0.07335527
28     E-G-J-P -0.0013014696 0.003321645 0.07178900
29     E-I-J-L -0.0017348029 0.003414617 0.06724261
30     E-I-J-P -0.0015243862 0.003377062 0.06548492
31     E-J-L-P -0.0012514696 0.003320299 0.07745106
32     F-G-J-L -0.0014827196 0.003419382 0.07576092
33     F-G-J-P -0.0012723029 0.003398932 0.07518129
34     F-I-J-P -0.0014952196 0.003443578 0.06884192
35     F-J-L-P -0.0012223029 0.003408147 0.08085604
36     G-H-J-L -0.0016139696 0.003264481 0.06225090
37     G-H-J-P -0.0014035529 0.003252500 0.06138754
38     G-I-J-L -0.0016056362 0.003192294 0.06289348
39     G-I-J-P -0.0013952196 0.003173631 0.05952244
40     G-J-K-L -0.0014535529 0.003434714 0.07694082
41     G-J-K-P -0.0012431362 0.003414584 0.07636996
42     G-J-L-M -0.0014681362 0.003426825 0.07650715
43     G-J-L-N -0.0014535529 0.003434714 0.07694082
44     G-J-L-P -0.0011223029 0.003097579 0.07148546
45     G-J-L-Q -0.0014160529 0.003354734 0.07485276
46     G-J-L-R -0.0010035529 0.003420185 0.08480000
47     G-J-M-P -0.0012577196 0.003410148 0.07593315
48     G-J-N-P -0.0012431362 0.003414584 0.07636996
49     G-J-P-Q -0.0012056362 0.003340910 0.07426441
50     H-J-L-P -0.0013535529 0.003183342 0.06700815
51     H-J-P-Q -0.0014368862 0.003449975 0.06977695
52     I-J-K-P -0.0014660529 0.003434489 0.07001368
53     I-J-L-P -0.0013452196 0.003103169 0.06514130
54     I-J-L-Q -0.0016389696 0.003392922 0.06855015
55     I-J-L-R -0.0012264696 0.003444943 0.07831468
56     I-J-N-P -0.0014660529 0.003434489 0.07001368
57     I-J-P-Q -0.0014285529 0.003368587 0.06791682
58     J-K-L-P -0.0011931362 0.003432281 0.08205326
59     J-L-M-P -0.0012077196 0.003421419 0.08161247
60     J-L-N-P -0.0011931362 0.003432281 0.08205326
61     J-L-P-Q -0.0011556362 0.003353159 0.07995181
62   B-G-J-L-P -0.0011973029 0.003415942 0.07979367
63   B-I-J-L-P -0.0013756362 0.003437632 0.07466828
64   D-G-J-L-P -0.0012789696 0.003409087 0.07809595
65   E-G-I-J-L -0.0016256362 0.003415821 0.06699637
66   E-G-I-J-P -0.0014573029 0.003398820 0.06648042
67   E-G-J-L-P -0.0012389696 0.003324390 0.07606610
68   E-H-J-L-P -0.0014239696 0.003427462 0.07246184
69   E-I-J-L-P -0.0014173029 0.003357870 0.07097378
70   F-G-J-L-P -0.0012156362 0.003397033 0.07878956
71   F-I-J-L-P -0.0013939696 0.003423666 0.07367445
72   G-H-J-L-P -0.0013206362 0.003251859 0.06770566
73   G-I-J-K-P -0.0014106362 0.003447292 0.07011274
74   G-I-J-L-P -0.0013139696 0.003181862 0.06621059
75   G-I-J-L-Q -0.0015489696 0.003404413 0.06893746
76   G-I-J-N-P -0.0014106362 0.003447292 0.07011274
77   G-I-J-P-Q -0.0013806362 0.003395895 0.06843233
78   G-J-K-L-P -0.0011923029 0.003408375 0.07974553
79   G-J-L-M-P -0.0012039696 0.003407449 0.07939387
80   G-J-L-N-P -0.0011923029 0.003408375 0.07974553
81   G-J-L-P-Q -0.0011623029 0.003347930 0.07806216
82   H-I-J-L-P -0.0014989696 0.003391859 0.06651120
83   H-J-L-P-Q -0.0013473029 0.003434350 0.07443353
84   I-J-K-L-P -0.0013706362 0.003419123 0.07461949
85   I-J-L-M-P -0.0013823029 0.003431058 0.07427245
86   I-J-L-N-P -0.0013706362 0.003419123 0.07461949
87   I-J-L-P-Q -0.0013406362 0.003363572 0.07294166
88 E-G-H-J-L-P -0.0013848029 0.003448137 0.07213946
89 E-G-I-J-L-P -0.0013792474 0.003387181 0.07089756
90 F-G-I-J-L-P -0.0013598029 0.003443722 0.07315096
91 G-H-I-J-L-P -0.0014473029 0.003420080 0.06695391
92 G-I-J-K-L-P -0.0013403585 0.003437713 0.07393901
93 G-I-J-L-N-P -0.0013403585 0.003437713 0.07393901
94 G-I-J-L-P-Q -0.0013153585 0.003392820 0.07253884

Looking for a faster way to compute rowMeans, for every combination of columns

The data

The list of Column Combinations

The loop

CAUTION

The following code takes 2 minutes to run on my pc (In fact, pre1 has 23 columns and takes more than 37 minutes to run)

Output of the above reproducible example

        combin            me        rmse      smape
1          J-L -0.0015764696 0.003398144 0.09119202
2          J-P -0.0011556362 0.003281430 0.08393609
3        E-J-L -0.0016195251 0.003424861 0.08216952
4        E-J-P -0.0013389696 0.003357466 0.07727013
5        F-J-P -0.0013000807 0.003448260 0.07759392
6        G-H-J -0.0018223029 0.003387601 0.06759025
7        G-I-J -0.0018111918 0.003316197 0.06720583
8        G-J-L -0.0014473029 0.003126429 0.07643285
9        G-J-P -0.0011667474 0.003091874 0.07144020
10       G-J-Q -0.0015584140 0.003436998 0.07965237
11       G-J-R -0.0010084140 0.003394027 0.08194241
12       H-J-L -0.0017556362 0.003236715 0.06739709
13       H-J-P -0.0014750807 0.003194667 0.06236702
14       I-J-L -0.0017445251 0.003162696 0.06825156
15       I-J-P -0.0014639696 0.003108024 0.06322841
16       I-J-R -0.0013056362 0.003443850 0.07335332
17       J-L-P -0.0011000807 0.003086438 0.07352729
18       J-L-Q -0.0014917474 0.003427897 0.08172932
19       J-L-R -0.0009417474 0.003443418 0.08960742
20       J-P-Q -0.0012111918 0.003384422 0.07680148
21     B-G-J-L -0.0014598029 0.003434496 0.07700107
22     B-G-J-P -0.0012493862 0.003418938 0.07643082
23     B-J-L-P -0.0011993862 0.003432305 0.08211289
24     D-G-J-L -0.0015618862 0.003446124 0.07491208
25     D-G-J-P -0.0013514696 0.003416486 0.07432744
26     D-J-L-P -0.0013014696 0.003417190 0.07998359
27     E-G-J-L -0.0015118862 0.003349091 0.07335527
28     E-G-J-P -0.0013014696 0.003321645 0.07178900
29     E-I-J-L -0.0017348029 0.003414617 0.06724261
30     E-I-J-P -0.0015243862 0.003377062 0.06548492
31     E-J-L-P -0.0012514696 0.003320299 0.07745106
32     F-G-J-L -0.0014827196 0.003419382 0.07576092
33     F-G-J-P -0.0012723029 0.003398932 0.07518129
34     F-I-J-P -0.0014952196 0.003443578 0.06884192
35     F-J-L-P -0.0012223029 0.003408147 0.08085604
36     G-H-J-L -0.0016139696 0.003264481 0.06225090
37     G-H-J-P -0.0014035529 0.003252500 0.06138754
38     G-I-J-L -0.0016056362 0.003192294 0.06289348
39     G-I-J-P -0.0013952196 0.003173631 0.05952244
40     G-J-K-L -0.0014535529 0.003434714 0.07694082
41     G-J-K-P -0.0012431362 0.003414584 0.07636996
42     G-J-L-M -0.0014681362 0.003426825 0.07650715
43     G-J-L-N -0.0014535529 0.003434714 0.07694082
44     G-J-L-P -0.0011223029 0.003097579 0.07148546
45     G-J-L-Q -0.0014160529 0.003354734 0.07485276
46     G-J-L-R -0.0010035529 0.003420185 0.08480000
47     G-J-M-P -0.0012577196 0.003410148 0.07593315
48     G-J-N-P -0.0012431362 0.003414584 0.07636996
49     G-J-P-Q -0.0012056362 0.003340910 0.07426441
50     H-J-L-P -0.0013535529 0.003183342 0.06700815
51     H-J-P-Q -0.0014368862 0.003449975 0.06977695
52     I-J-K-P -0.0014660529 0.003434489 0.07001368
53     I-J-L-P -0.0013452196 0.003103169 0.06514130
54     I-J-L-Q -0.0016389696 0.003392922 0.06855015
55     I-J-L-R -0.0012264696 0.003444943 0.07831468
56     I-J-N-P -0.0014660529 0.003434489 0.07001368
57     I-J-P-Q -0.0014285529 0.003368587 0.06791682
58     J-K-L-P -0.0011931362 0.003432281 0.08205326
59     J-L-M-P -0.0012077196 0.003421419 0.08161247
60     J-L-N-P -0.0011931362 0.003432281 0.08205326
61     J-L-P-Q -0.0011556362 0.003353159 0.07995181
62   B-G-J-L-P -0.0011973029 0.003415942 0.07979367
63   B-I-J-L-P -0.0013756362 0.003437632 0.07466828
64   D-G-J-L-P -0.0012789696 0.003409087 0.07809595
65   E-G-I-J-L -0.0016256362 0.003415821 0.06699637
66   E-G-I-J-P -0.0014573029 0.003398820 0.06648042
67   E-G-J-L-P -0.0012389696 0.003324390 0.07606610
68   E-H-J-L-P -0.0014239696 0.003427462 0.07246184
69   E-I-J-L-P -0.0014173029 0.003357870 0.07097378
70   F-G-J-L-P -0.0012156362 0.003397033 0.07878956
71   F-I-J-L-P -0.0013939696 0.003423666 0.07367445
72   G-H-J-L-P -0.0013206362 0.003251859 0.06770566
73   G-I-J-K-P -0.0014106362 0.003447292 0.07011274
74   G-I-J-L-P -0.0013139696 0.003181862 0.06621059
75   G-I-J-L-Q -0.0015489696 0.003404413 0.06893746
76   G-I-J-N-P -0.0014106362 0.003447292 0.07011274
77   G-I-J-P-Q -0.0013806362 0.003395895 0.06843233
78   G-J-K-L-P -0.0011923029 0.003408375 0.07974553
79   G-J-L-M-P -0.0012039696 0.003407449 0.07939387
80   G-J-L-N-P -0.0011923029 0.003408375 0.07974553
81   G-J-L-P-Q -0.0011623029 0.003347930 0.07806216
82   H-I-J-L-P -0.0014989696 0.003391859 0.06651120
83   H-J-L-P-Q -0.0013473029 0.003434350 0.07443353
84   I-J-K-L-P -0.0013706362 0.003419123 0.07461949
85   I-J-L-M-P -0.0013823029 0.003431058 0.07427245
86   I-J-L-N-P -0.0013706362 0.003419123 0.07461949
87   I-J-L-P-Q -0.0013406362 0.003363572 0.07294166
88 E-G-H-J-L-P -0.0013848029 0.003448137 0.07213946
89 E-G-I-J-L-P -0.0013792474 0.003387181 0.07089756
90 F-G-I-J-L-P -0.0013598029 0.003443722 0.07315096
91 G-H-I-J-L-P -0.0014473029 0.003420080 0.06695391
92 G-I-J-K-L-P -0.0013403585 0.003437713 0.07393901
93 G-I-J-L-N-P -0.0013403585 0.003437713 0.07393901
94 G-I-J-L-P-Q -0.0013153585 0.003392820 0.07253884

Computing rowMeans for every combination of columns

The data:

The list of column combinations:

The loop:

CAUTION

The following code takes 2 minutes to run on my PC (in fact, pre1 has 23 columns and takes more than 37 minutes to run):

Example output of the reproducible:

        combin            me        rmse      smape
1          J-L -0.0015764696 0.003398144 0.09119202
2          J-P -0.0011556362 0.003281430 0.08393609
3        E-J-L -0.0016195251 0.003424861 0.08216952
4        E-J-P -0.0013389696 0.003357466 0.07727013
5        F-J-P -0.0013000807 0.003448260 0.07759392
6        G-H-J -0.0018223029 0.003387601 0.06759025
7        G-I-J -0.0018111918 0.003316197 0.06720583
8        G-J-L -0.0014473029 0.003126429 0.07643285
9        G-J-P -0.0011667474 0.003091874 0.07144020
10       G-J-Q -0.0015584140 0.003436998 0.07965237
11       G-J-R -0.0010084140 0.003394027 0.08194241
12       H-J-L -0.0017556362 0.003236715 0.06739709
13       H-J-P -0.0014750807 0.003194667 0.06236702
14       I-J-L -0.0017445251 0.003162696 0.06825156
15       I-J-P -0.0014639696 0.003108024 0.06322841
16       I-J-R -0.0013056362 0.003443850 0.07335332
17       J-L-P -0.0011000807 0.003086438 0.07352729
18       J-L-Q -0.0014917474 0.003427897 0.08172932
19       J-L-R -0.0009417474 0.003443418 0.08960742
20       J-P-Q -0.0012111918 0.003384422 0.07680148
21     B-G-J-L -0.0014598029 0.003434496 0.07700107
22     B-G-J-P -0.0012493862 0.003418938 0.07643082
23     B-J-L-P -0.0011993862 0.003432305 0.08211289
24     D-G-J-L -0.0015618862 0.003446124 0.07491208
25     D-G-J-P -0.0013514696 0.003416486 0.07432744
26     D-J-L-P -0.0013014696 0.003417190 0.07998359
27     E-G-J-L -0.0015118862 0.003349091 0.07335527
28     E-G-J-P -0.0013014696 0.003321645 0.07178900
29     E-I-J-L -0.0017348029 0.003414617 0.06724261
30     E-I-J-P -0.0015243862 0.003377062 0.06548492
31     E-J-L-P -0.0012514696 0.003320299 0.07745106
32     F-G-J-L -0.0014827196 0.003419382 0.07576092
33     F-G-J-P -0.0012723029 0.003398932 0.07518129
34     F-I-J-P -0.0014952196 0.003443578 0.06884192
35     F-J-L-P -0.0012223029 0.003408147 0.08085604
36     G-H-J-L -0.0016139696 0.003264481 0.06225090
37     G-H-J-P -0.0014035529 0.003252500 0.06138754
38     G-I-J-L -0.0016056362 0.003192294 0.06289348
39     G-I-J-P -0.0013952196 0.003173631 0.05952244
40     G-J-K-L -0.0014535529 0.003434714 0.07694082
41     G-J-K-P -0.0012431362 0.003414584 0.07636996
42     G-J-L-M -0.0014681362 0.003426825 0.07650715
43     G-J-L-N -0.0014535529 0.003434714 0.07694082
44     G-J-L-P -0.0011223029 0.003097579 0.07148546
45     G-J-L-Q -0.0014160529 0.003354734 0.07485276
46     G-J-L-R -0.0010035529 0.003420185 0.08480000
47     G-J-M-P -0.0012577196 0.003410148 0.07593315
48     G-J-N-P -0.0012431362 0.003414584 0.07636996
49     G-J-P-Q -0.0012056362 0.003340910 0.07426441
50     H-J-L-P -0.0013535529 0.003183342 0.06700815
51     H-J-P-Q -0.0014368862 0.003449975 0.06977695
52     I-J-K-P -0.0014660529 0.003434489 0.07001368
53     I-J-L-P -0.0013452196 0.003103169 0.06514130
54     I-J-L-Q -0.0016389696 0.003392922 0.06855015
55     I-J-L-R -0.0012264696 0.003444943 0.07831468
56     I-J-N-P -0.0014660529 0.003434489 0.07001368
57     I-J-P-Q -0.0014285529 0.003368587 0.06791682
58     J-K-L-P -0.0011931362 0.003432281 0.08205326
59     J-L-M-P -0.0012077196 0.003421419 0.08161247
60     J-L-N-P -0.0011931362 0.003432281 0.08205326
61     J-L-P-Q -0.0011556362 0.003353159 0.07995181
62   B-G-J-L-P -0.0011973029 0.003415942 0.07979367
63   B-I-J-L-P -0.0013756362 0.003437632 0.07466828
64   D-G-J-L-P -0.0012789696 0.003409087 0.07809595
65   E-G-I-J-L -0.0016256362 0.003415821 0.06699637
66   E-G-I-J-P -0.0014573029 0.003398820 0.06648042
67   E-G-J-L-P -0.0012389696 0.003324390 0.07606610
68   E-H-J-L-P -0.0014239696 0.003427462 0.07246184
69   E-I-J-L-P -0.0014173029 0.003357870 0.07097378
70   F-G-J-L-P -0.0012156362 0.003397033 0.07878956
71   F-I-J-L-P -0.0013939696 0.003423666 0.07367445
72   G-H-J-L-P -0.0013206362 0.003251859 0.06770566
73   G-I-J-K-P -0.0014106362 0.003447292 0.07011274
74   G-I-J-L-P -0.0013139696 0.003181862 0.06621059
75   G-I-J-L-Q -0.0015489696 0.003404413 0.06893746
76   G-I-J-N-P -0.0014106362 0.003447292 0.07011274
77   G-I-J-P-Q -0.0013806362 0.003395895 0.06843233
78   G-J-K-L-P -0.0011923029 0.003408375 0.07974553
79   G-J-L-M-P -0.0012039696 0.003407449 0.07939387
80   G-J-L-N-P -0.0011923029 0.003408375 0.07974553
81   G-J-L-P-Q -0.0011623029 0.003347930 0.07806216
82   H-I-J-L-P -0.0014989696 0.003391859 0.06651120
83   H-J-L-P-Q -0.0013473029 0.003434350 0.07443353
84   I-J-K-L-P -0.0013706362 0.003419123 0.07461949
85   I-J-L-M-P -0.0013823029 0.003431058 0.07427245
86   I-J-L-N-P -0.0013706362 0.003419123 0.07461949
87   I-J-L-P-Q -0.0013406362 0.003363572 0.07294166
88 E-G-H-J-L-P -0.0013848029 0.003448137 0.07213946
89 E-G-I-J-L-P -0.0013792474 0.003387181 0.07089756
90 F-G-I-J-L-P -0.0013598029 0.003443722 0.07315096
91 G-H-I-J-L-P -0.0014473029 0.003420080 0.06695391
92 G-I-J-K-L-P -0.0013403585 0.003437713 0.07393901
93 G-I-J-L-N-P -0.0013403585 0.003437713 0.07393901
94 G-I-J-L-P-Q -0.0013153585 0.003392820 0.07253884
added 5465 characters in body
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Output of the above reproducible example

        combin            me        rmse      smape
1          J-L -0.0015764696 0.003398144 0.09119202
2          J-P -0.0011556362 0.003281430 0.08393609
3        E-J-L -0.0016195251 0.003424861 0.08216952
4        E-J-P -0.0013389696 0.003357466 0.07727013
5        F-J-P -0.0013000807 0.003448260 0.07759392
6        G-H-J -0.0018223029 0.003387601 0.06759025
7        G-I-J -0.0018111918 0.003316197 0.06720583
8        G-J-L -0.0014473029 0.003126429 0.07643285
9        G-J-P -0.0011667474 0.003091874 0.07144020
10       G-J-Q -0.0015584140 0.003436998 0.07965237
11       G-J-R -0.0010084140 0.003394027 0.08194241
12       H-J-L -0.0017556362 0.003236715 0.06739709
13       H-J-P -0.0014750807 0.003194667 0.06236702
14       I-J-L -0.0017445251 0.003162696 0.06825156
15       I-J-P -0.0014639696 0.003108024 0.06322841
16       I-J-R -0.0013056362 0.003443850 0.07335332
17       J-L-P -0.0011000807 0.003086438 0.07352729
18       J-L-Q -0.0014917474 0.003427897 0.08172932
19       J-L-R -0.0009417474 0.003443418 0.08960742
20       J-P-Q -0.0012111918 0.003384422 0.07680148
21     B-G-J-L -0.0014598029 0.003434496 0.07700107
22     B-G-J-P -0.0012493862 0.003418938 0.07643082
23     B-J-L-P -0.0011993862 0.003432305 0.08211289
24     D-G-J-L -0.0015618862 0.003446124 0.07491208
25     D-G-J-P -0.0013514696 0.003416486 0.07432744
26     D-J-L-P -0.0013014696 0.003417190 0.07998359
27     E-G-J-L -0.0015118862 0.003349091 0.07335527
28     E-G-J-P -0.0013014696 0.003321645 0.07178900
29     E-I-J-L -0.0017348029 0.003414617 0.06724261
30     E-I-J-P -0.0015243862 0.003377062 0.06548492
31     E-J-L-P -0.0012514696 0.003320299 0.07745106
32     F-G-J-L -0.0014827196 0.003419382 0.07576092
33     F-G-J-P -0.0012723029 0.003398932 0.07518129
34     F-I-J-P -0.0014952196 0.003443578 0.06884192
35     F-J-L-P -0.0012223029 0.003408147 0.08085604
36     G-H-J-L -0.0016139696 0.003264481 0.06225090
37     G-H-J-P -0.0014035529 0.003252500 0.06138754
38     G-I-J-L -0.0016056362 0.003192294 0.06289348
39     G-I-J-P -0.0013952196 0.003173631 0.05952244
40     G-J-K-L -0.0014535529 0.003434714 0.07694082
41     G-J-K-P -0.0012431362 0.003414584 0.07636996
42     G-J-L-M -0.0014681362 0.003426825 0.07650715
43     G-J-L-N -0.0014535529 0.003434714 0.07694082
44     G-J-L-P -0.0011223029 0.003097579 0.07148546
45     G-J-L-Q -0.0014160529 0.003354734 0.07485276
46     G-J-L-R -0.0010035529 0.003420185 0.08480000
47     G-J-M-P -0.0012577196 0.003410148 0.07593315
48     G-J-N-P -0.0012431362 0.003414584 0.07636996
49     G-J-P-Q -0.0012056362 0.003340910 0.07426441
50     H-J-L-P -0.0013535529 0.003183342 0.06700815
51     H-J-P-Q -0.0014368862 0.003449975 0.06977695
52     I-J-K-P -0.0014660529 0.003434489 0.07001368
53     I-J-L-P -0.0013452196 0.003103169 0.06514130
54     I-J-L-Q -0.0016389696 0.003392922 0.06855015
55     I-J-L-R -0.0012264696 0.003444943 0.07831468
56     I-J-N-P -0.0014660529 0.003434489 0.07001368
57     I-J-P-Q -0.0014285529 0.003368587 0.06791682
58     J-K-L-P -0.0011931362 0.003432281 0.08205326
59     J-L-M-P -0.0012077196 0.003421419 0.08161247
60     J-L-N-P -0.0011931362 0.003432281 0.08205326
61     J-L-P-Q -0.0011556362 0.003353159 0.07995181
62   B-G-J-L-P -0.0011973029 0.003415942 0.07979367
63   B-I-J-L-P -0.0013756362 0.003437632 0.07466828
64   D-G-J-L-P -0.0012789696 0.003409087 0.07809595
65   E-G-I-J-L -0.0016256362 0.003415821 0.06699637
66   E-G-I-J-P -0.0014573029 0.003398820 0.06648042
67   E-G-J-L-P -0.0012389696 0.003324390 0.07606610
68   E-H-J-L-P -0.0014239696 0.003427462 0.07246184
69   E-I-J-L-P -0.0014173029 0.003357870 0.07097378
70   F-G-J-L-P -0.0012156362 0.003397033 0.07878956
71   F-I-J-L-P -0.0013939696 0.003423666 0.07367445
72   G-H-J-L-P -0.0013206362 0.003251859 0.06770566
73   G-I-J-K-P -0.0014106362 0.003447292 0.07011274
74   G-I-J-L-P -0.0013139696 0.003181862 0.06621059
75   G-I-J-L-Q -0.0015489696 0.003404413 0.06893746
76   G-I-J-N-P -0.0014106362 0.003447292 0.07011274
77   G-I-J-P-Q -0.0013806362 0.003395895 0.06843233
78   G-J-K-L-P -0.0011923029 0.003408375 0.07974553
79   G-J-L-M-P -0.0012039696 0.003407449 0.07939387
80   G-J-L-N-P -0.0011923029 0.003408375 0.07974553
81   G-J-L-P-Q -0.0011623029 0.003347930 0.07806216
82   H-I-J-L-P -0.0014989696 0.003391859 0.06651120
83   H-J-L-P-Q -0.0013473029 0.003434350 0.07443353
84   I-J-K-L-P -0.0013706362 0.003419123 0.07461949
85   I-J-L-M-P -0.0013823029 0.003431058 0.07427245
86   I-J-L-N-P -0.0013706362 0.003419123 0.07461949
87   I-J-L-P-Q -0.0013406362 0.003363572 0.07294166
88 E-G-H-J-L-P -0.0013848029 0.003448137 0.07213946
89 E-G-I-J-L-P -0.0013792474 0.003387181 0.07089756
90 F-G-I-J-L-P -0.0013598029 0.003443722 0.07315096
91 G-H-I-J-L-P -0.0014473029 0.003420080 0.06695391
92 G-I-J-K-L-P -0.0013403585 0.003437713 0.07393901
93 G-I-J-L-N-P -0.0013403585 0.003437713 0.07393901
94 G-I-J-L-P-Q -0.0013153585 0.003392820 0.07253884

Output of the above reproducible example

        combin            me        rmse      smape
1          J-L -0.0015764696 0.003398144 0.09119202
2          J-P -0.0011556362 0.003281430 0.08393609
3        E-J-L -0.0016195251 0.003424861 0.08216952
4        E-J-P -0.0013389696 0.003357466 0.07727013
5        F-J-P -0.0013000807 0.003448260 0.07759392
6        G-H-J -0.0018223029 0.003387601 0.06759025
7        G-I-J -0.0018111918 0.003316197 0.06720583
8        G-J-L -0.0014473029 0.003126429 0.07643285
9        G-J-P -0.0011667474 0.003091874 0.07144020
10       G-J-Q -0.0015584140 0.003436998 0.07965237
11       G-J-R -0.0010084140 0.003394027 0.08194241
12       H-J-L -0.0017556362 0.003236715 0.06739709
13       H-J-P -0.0014750807 0.003194667 0.06236702
14       I-J-L -0.0017445251 0.003162696 0.06825156
15       I-J-P -0.0014639696 0.003108024 0.06322841
16       I-J-R -0.0013056362 0.003443850 0.07335332
17       J-L-P -0.0011000807 0.003086438 0.07352729
18       J-L-Q -0.0014917474 0.003427897 0.08172932
19       J-L-R -0.0009417474 0.003443418 0.08960742
20       J-P-Q -0.0012111918 0.003384422 0.07680148
21     B-G-J-L -0.0014598029 0.003434496 0.07700107
22     B-G-J-P -0.0012493862 0.003418938 0.07643082
23     B-J-L-P -0.0011993862 0.003432305 0.08211289
24     D-G-J-L -0.0015618862 0.003446124 0.07491208
25     D-G-J-P -0.0013514696 0.003416486 0.07432744
26     D-J-L-P -0.0013014696 0.003417190 0.07998359
27     E-G-J-L -0.0015118862 0.003349091 0.07335527
28     E-G-J-P -0.0013014696 0.003321645 0.07178900
29     E-I-J-L -0.0017348029 0.003414617 0.06724261
30     E-I-J-P -0.0015243862 0.003377062 0.06548492
31     E-J-L-P -0.0012514696 0.003320299 0.07745106
32     F-G-J-L -0.0014827196 0.003419382 0.07576092
33     F-G-J-P -0.0012723029 0.003398932 0.07518129
34     F-I-J-P -0.0014952196 0.003443578 0.06884192
35     F-J-L-P -0.0012223029 0.003408147 0.08085604
36     G-H-J-L -0.0016139696 0.003264481 0.06225090
37     G-H-J-P -0.0014035529 0.003252500 0.06138754
38     G-I-J-L -0.0016056362 0.003192294 0.06289348
39     G-I-J-P -0.0013952196 0.003173631 0.05952244
40     G-J-K-L -0.0014535529 0.003434714 0.07694082
41     G-J-K-P -0.0012431362 0.003414584 0.07636996
42     G-J-L-M -0.0014681362 0.003426825 0.07650715
43     G-J-L-N -0.0014535529 0.003434714 0.07694082
44     G-J-L-P -0.0011223029 0.003097579 0.07148546
45     G-J-L-Q -0.0014160529 0.003354734 0.07485276
46     G-J-L-R -0.0010035529 0.003420185 0.08480000
47     G-J-M-P -0.0012577196 0.003410148 0.07593315
48     G-J-N-P -0.0012431362 0.003414584 0.07636996
49     G-J-P-Q -0.0012056362 0.003340910 0.07426441
50     H-J-L-P -0.0013535529 0.003183342 0.06700815
51     H-J-P-Q -0.0014368862 0.003449975 0.06977695
52     I-J-K-P -0.0014660529 0.003434489 0.07001368
53     I-J-L-P -0.0013452196 0.003103169 0.06514130
54     I-J-L-Q -0.0016389696 0.003392922 0.06855015
55     I-J-L-R -0.0012264696 0.003444943 0.07831468
56     I-J-N-P -0.0014660529 0.003434489 0.07001368
57     I-J-P-Q -0.0014285529 0.003368587 0.06791682
58     J-K-L-P -0.0011931362 0.003432281 0.08205326
59     J-L-M-P -0.0012077196 0.003421419 0.08161247
60     J-L-N-P -0.0011931362 0.003432281 0.08205326
61     J-L-P-Q -0.0011556362 0.003353159 0.07995181
62   B-G-J-L-P -0.0011973029 0.003415942 0.07979367
63   B-I-J-L-P -0.0013756362 0.003437632 0.07466828
64   D-G-J-L-P -0.0012789696 0.003409087 0.07809595
65   E-G-I-J-L -0.0016256362 0.003415821 0.06699637
66   E-G-I-J-P -0.0014573029 0.003398820 0.06648042
67   E-G-J-L-P -0.0012389696 0.003324390 0.07606610
68   E-H-J-L-P -0.0014239696 0.003427462 0.07246184
69   E-I-J-L-P -0.0014173029 0.003357870 0.07097378
70   F-G-J-L-P -0.0012156362 0.003397033 0.07878956
71   F-I-J-L-P -0.0013939696 0.003423666 0.07367445
72   G-H-J-L-P -0.0013206362 0.003251859 0.06770566
73   G-I-J-K-P -0.0014106362 0.003447292 0.07011274
74   G-I-J-L-P -0.0013139696 0.003181862 0.06621059
75   G-I-J-L-Q -0.0015489696 0.003404413 0.06893746
76   G-I-J-N-P -0.0014106362 0.003447292 0.07011274
77   G-I-J-P-Q -0.0013806362 0.003395895 0.06843233
78   G-J-K-L-P -0.0011923029 0.003408375 0.07974553
79   G-J-L-M-P -0.0012039696 0.003407449 0.07939387
80   G-J-L-N-P -0.0011923029 0.003408375 0.07974553
81   G-J-L-P-Q -0.0011623029 0.003347930 0.07806216
82   H-I-J-L-P -0.0014989696 0.003391859 0.06651120
83   H-J-L-P-Q -0.0013473029 0.003434350 0.07443353
84   I-J-K-L-P -0.0013706362 0.003419123 0.07461949
85   I-J-L-M-P -0.0013823029 0.003431058 0.07427245
86   I-J-L-N-P -0.0013706362 0.003419123 0.07461949
87   I-J-L-P-Q -0.0013406362 0.003363572 0.07294166
88 E-G-H-J-L-P -0.0013848029 0.003448137 0.07213946
89 E-G-I-J-L-P -0.0013792474 0.003387181 0.07089756
90 F-G-I-J-L-P -0.0013598029 0.003443722 0.07315096
91 G-H-I-J-L-P -0.0014473029 0.003420080 0.06695391
92 G-I-J-K-L-P -0.0013403585 0.003437713 0.07393901
93 G-I-J-L-N-P -0.0013403585 0.003437713 0.07393901
94 G-I-J-L-P-Q -0.0013153585 0.003392820 0.07253884
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