4-Tuple BB7 #3 of Machado/Pereira

Comment: This TM produces 164 ones in 23197 steps.

State on
0
on
1
on 0 on 1
Print Move Goto Print Move Goto
1 21 7< 1 stay 2 1 left 7
2 71 3> 1 stay 7 1 right 3
3 6> 40 0 right 6 0 stay 4
4 2> 4> 0 right 2 1 right 4
5 11 3< 1 stay 1 1 left 3
6 50 *= 0 stay 5 1 stay *
7 4> 5< 0 right 4 1 left 5
Transition table
The same TM just simple.
The same TM with repetitions reduced.
The same TM with tape symbol exponents.
The same TM as 2-macro machine.
Simulation is done as 2-macro machine with pure additive config-TRs.

Pushing initial machine.
Pushing macro factor 2.

Steps             BasSteps              BasTpos  Tape contents
    0                    0                    0  1>
    1                    3                    2  10 6>
    2                    6                    1  10 <7 10
    3                    7                    2  10 4> 10
    4                    9                    4  102 2>
    5                   11                    3  102 <5 10
    6                   17                   -1  <5 112 10
    7                   21                    0  01 4> 112 10
    8                   25                    4  01 112 4> 10
    9                   27                    6  01 112 10 2>
   10                   29                    5  01 112 10 <5 10
   11                   32                    3  01 112 <5 11 10
   12                   36                    4  01 11 01 3> 11 10
   13                   39                    6  01 11 012 3> 10
   14                   45                    5  01 11 012 <7 11
   15                   51                    1  01 11 <7 113
   16                   53                   -1  01 <3 114
   17                   55                    0  2> 114
   18                   67                    8  104 2>
   19                   69                    7  104 <5 10
   20                   81                   -1  <5 114 10
   21                   85                    0  01 4> 114 10
   22                   93                    8  01 114 4> 10
   23                   95                   10  01 114 10 2>
   24                   97                    9  01 114 10 <5 10
   25                  100                    7  01 114 <5 11 10
   26                  104                    8  01 113 01 3> 11 10
   27                  107                   10  01 113 012 3> 10
   28                  113                    9  01 113 012 <7 11
   29                  119                    5  01 113 <7 113
   30                  121                    3  01 112 <3 114
   31                  123                    4  01 11 10 2> 114
   32                  135                   12  01 11 105 2>
>> Try to prove a PA-CTR with 2 Vars...
    0                    0                    0  [*]* 114+V(2) 101+V(1) 2>
    1                    2                   -1  [*]* 114+V(2) 101+V(1) <5 10
    2             5+3*V(1)           -3+-2*V(1)  [*]* 114+V(2) <5 111+V(1) 10
    3             9+3*V(1)           -2+-2*V(1)  [*]* 113+V(2) 01 3> 111+V(1) 10
    4            12+6*V(1)                    0  [*]* 113+V(2) 012+V(1) 3> 10
    5            18+6*V(1)                   -1  [*]* 113+V(2) 012+V(1) <7 11
    6            24+9*V(1)           -5+-2*V(1)  [*]* 113+V(2) <7 113+V(1)
    7            26+9*V(1)           -7+-2*V(1)  [*]* 112+V(2) <3 114+V(1)
    8            28+9*V(1)           -6+-2*V(1)  [*]* 111+V(2) 10 2> 114+V(1)
    9           40+12*V(1)                    2  [*]* 111+V(2) 105+V(1) 2>
<< Success! ==> defined new CTR 1 (PA)
   33                  137                   11  01 11 105 <5 10
   34                  152                    1  01 11 <5 115 10
   35                  156                    2  012 3> 115 10
   36                  171                   12  017 3> 10
   37                  177                   11  017 <7 11
   38                  198                   -3  <7 118
   39                  199                   -2  4> 118
   40                  215                   14  118 4>
   41                  220                   13  118 <7 11
   42                  222                   11  117 <3 112
   43                  224                   12  116 10 2> 112
   44                  230                   16  116 103 2>
   45                  232                   15  116 103 <5 10
   46                  241                    9  116 <5 113 10
   47                  245                   10  115 01 3> 113 10
   48                  254                   16  115 014 3> 10
   49                  260                   15  115 014 <7 11
   50                  272                    7  115 <7 115
>> Try to prove a PA-CTR with 2 Vars...
    0                    0                    0  114+V(1) <7 111+V(2)
    1                    2                   -2  113+V(1) <3 112+V(2)
    2                    4                   -1  112+V(1) 10 2> 112+V(2)
    3            10+3*V(2)             3+2*V(2)  112+V(1) 103+V(2) 2>
    4            12+3*V(2)             2+2*V(2)  112+V(1) 103+V(2) <5 10
    5            21+6*V(2)                   -4  112+V(1) <5 113+V(2) 10
    6            25+6*V(2)                   -3  111+V(1) 01 3> 113+V(2) 10
    7            34+9*V(2)             3+2*V(2)  111+V(1) 014+V(2) 3> 10
    8            40+9*V(2)             2+2*V(2)  111+V(1) 014+V(2) <7 11
    9           52+12*V(2)                   -6  111+V(1) <7 115+V(2)
<< Success! ==> defined new CTR 2 (PA)
   50                  272                    7  115 <7 115
== Executing  PA-CTR  2, V(1)=1, V(2)=4, repcount=1, factor=4/3
   59                  372                    1  112 <7 119
   60                  374                   -1  11 <3 1110
   61                  376                    0  10 2> 1110
   62                  406                   20  1011 2>
   63                  408                   19  1011 <5 10
   64                  441                   -3  <5 1111 10
   65                  445                   -2  01 4> 1111 10
   66                  467                   20  01 1111 4> 10
   67                  469                   22  01 1111 10 2>
>> Try to prove a PPA-CTR with 1 Vars...
    0                    0                    0  112 <7 112+V(1)
    1                    2                   -2  11 <3 113+V(1)
    2                    4                   -1  10 2> 113+V(1)
    3            13+3*V(1)             5+2*V(1)  104+V(1) 2>
    4            15+3*V(1)             4+2*V(1)  104+V(1) <5 10
    5            27+6*V(1)                   -4  <5 114+V(1) 10
    6            31+6*V(1)                   -3  01 4> 114+V(1) 10
    7            39+8*V(1)             5+2*V(1)  01 114+V(1) 4> 10
    8            41+8*V(1)             7+2*V(1)  01 114+V(1) 10 2>
<< Success! ==> defined new CTR 3 (PPA)
   67                  469                   22  01 1111 10 2>
== Executing  PA-CTR  1, V(1)=0, V(2)=7, repcount=3, factor=4/3
   94                  733                   28  01 112 1013 2>
   95                  735                   27  01 112 1013 <5 10
   96                  774                    1  01 112 <5 1113 10
   97                  778                    2  01 11 01 3> 1113 10
   98                  817                   28  01 11 0114 3> 10
   99                  823                   27  01 11 0114 <7 11
  100                  865                   -1  01 11 <7 1115
  101                  867                   -3  01 <3 1116
  102                  869                   -2  2> 1116
  103                  917                   30  1016 2>
  104                  919                   29  1016 <5 10
  105                  967                   -3  <5 1116 10
  106                  971                   -2  01 4> 1116 10
  107                 1003                   30  01 1116 4> 10
  108                 1005                   32  01 1116 10 2>
>> Try to prove a PPA-CTR with 1 Vars...
    0                    0                    0  01 112 101+V(1) 2>
    1                    2                   -1  01 112 101+V(1) <5 10
    2             5+3*V(1)           -3+-2*V(1)  01 112 <5 111+V(1) 10
    3             9+3*V(1)           -2+-2*V(1)  01 11 01 3> 111+V(1) 10
    4            12+6*V(1)                    0  01 11 012+V(1) 3> 10
    5            18+6*V(1)                   -1  01 11 012+V(1) <7 11
    6            24+9*V(1)           -5+-2*V(1)  01 11 <7 113+V(1)
    7            26+9*V(1)           -7+-2*V(1)  01 <3 114+V(1)
    8            28+9*V(1)           -6+-2*V(1)  2> 114+V(1)
    9           40+12*V(1)                    2  104+V(1) 2>
   10           42+12*V(1)                    1  104+V(1) <5 10
   11           54+15*V(1)           -7+-2*V(1)  <5 114+V(1) 10
   12           58+15*V(1)           -6+-2*V(1)  01 4> 114+V(1) 10
   13           66+17*V(1)                    2  01 114+V(1) 4> 10
   14           68+17*V(1)                    4  01 114+V(1) 10 2>
<< Success! ==> defined new CTR 4 (PPA)
  108                 1005                   32  01 1116 10 2>
== Executing  PA-CTR  1, V(1)=0, V(2)=12, repcount=5, factor=4/3
  153                 1685                   42  01 11 1021 2>
  154                 1687                   41  01 11 1021 <5 10
  155                 1750                   -1  01 11 <5 1121 10
  156                 1754                    0  012 3> 1121 10
  157                 1817                   42  0123 3> 10
  158                 1823                   41  0123 <7 11
  159                 1892                   -5  <7 1124
  160                 1893                   -4  4> 1124
  161                 1941                   44  1124 4>
  162                 1946                   43  1124 <7 11
>> Try to prove a PPA-CTR with 2 Vars...
    0                    0                    0  011+V(2) 11 101+V(1) 2>
    1                    2                   -1  011+V(2) 11 101+V(1) <5 10
    2             5+3*V(1)           -3+-2*V(1)  011+V(2) 11 <5 111+V(1) 10
    3             9+3*V(1)           -2+-2*V(1)  012+V(2) 3> 111+V(1) 10
    4            12+6*V(1)                    0  013+V(1)+V(2) 3> 10
    5            18+6*V(1)                   -1  013+V(1)+V(2) <7 11
    6     27+9*V(1)+3*V(2)   -7+-2*V(1)+-2*V(2)  <7 114+V(1)+V(2)
    7     28+9*V(1)+3*V(2)   -6+-2*V(1)+-2*V(2)  4> 114+V(1)+V(2)
    8    36+11*V(1)+5*V(2)                    2  114+V(1)+V(2) 4>
    9    41+11*V(1)+5*V(2)                    1  114+V(1)+V(2) <7 11
<< Success! ==> defined new CTR 5 (PPA)
  162                 1946                   43  1124 <7 11
== Executing  PA-CTR  2, V(1)=20, V(2)=0, repcount=7, factor=4/3
  225                 3318                    1  113 <7 1129
  226                 3320                   -1  112 <3 1130
  227                 3322                    0  11 10 2> 1130
  228                 3412                   60  11 1031 2>
  229                 3414                   59  11 1031 <5 10
  230                 3507                   -3  11 <5 1131 10
  231                 3511                   -2  01 3> 1131 10
  232                 3604                   60  0132 3> 10
  233                 3610                   59  0132 <7 11
  234                 3706                   -5  <7 1133
  235                 3707                   -4  4> 1133
  236                 3773                   62  1133 4>
  237                 3778                   61  1133 <7 11
>> Try to prove a PPA-CTR with 1 Vars...
    0                    0                    0  113 <7 111+V(1)
    1                    2                   -2  112 <3 112+V(1)
    2                    4                   -1  11 10 2> 112+V(1)
    3            10+3*V(1)             3+2*V(1)  11 103+V(1) 2>
    4            12+3*V(1)             2+2*V(1)  11 103+V(1) <5 10
    5            21+6*V(1)                   -4  11 <5 113+V(1) 10
    6            25+6*V(1)                   -3  01 3> 113+V(1) 10
    7            34+9*V(1)             3+2*V(1)  014+V(1) 3> 10
    8            40+9*V(1)             2+2*V(1)  014+V(1) <7 11
    9           52+12*V(1)                   -6  <7 115+V(1)
   10           53+12*V(1)                   -5  4> 115+V(1)
   11           63+14*V(1)             5+2*V(1)  115+V(1) 4>
   12           68+14*V(1)             4+2*V(1)  115+V(1) <7 11
<< Success! ==> defined new CTR 6 (PPA)
  237                 3778                   61  1133 <7 11
== Executing  PA-CTR  2, V(1)=29, V(2)=0, repcount=10, factor=4/3
  327                 6458                    1  113 <7 1141
== Executing PPA-CTR  6 (once), V(1)=40
  339                 7086                   85  1145 <7 11
== Executing  PA-CTR  2, V(1)=41, V(2)=0, repcount=14, factor=4/3
  465                12182                    1  113 <7 1157
== Executing PPA-CTR  6 (once), V(1)=56
  477                13034                  117  1161 <7 11
== Executing  PA-CTR  2, V(1)=57, V(2)=0, repcount=20, factor=4/3
  657                23194                   -3  11 <7 1181
  658                23196                   -5  <3 1182
  659                23197                   -4  6> 1182
  660                23197                   -4  6> 1182   [would halt]

Lines:       106
Top steps:   105
Macro steps: 660
Basic steps: 23197
Tape index:  -4
ones:        164
log10(ones    ):    2.215
log10(steps   ):    4.365
Run state:   would halt

The same TM just simple.
The same TM with repetitions reduced.
The same TM with tape symbol exponents.
The same TM as 2-macro machine.

To the BB simulations page of Heiner Marxen.
To the busy beaver page of Heiner Marxen.
To the home page of Heiner Marxen.
Input to awk program:
    gohalt 1
    T 4-Tuple BB7 #3 of Machado/Pereira
    4T 21 7<  71 3>  6> 40  2> 4>  11 3<  50 *=  4> 5<
    : 164 23197
    gohalt 0
    L 6
    m 25000
    M	400
    pref	sim
    machv 4BB7_3  	just simple
    machv 4BB7_3-r	with repetitions reduced
    machv 4BB7_3-1	with tape symbol exponents
    machv 4BB7_3-m	as 2-macro machine
    machv 4BB7_3-a	as 2-macro machine with pure additive config-TRs
    iam	4BB7_3-a
    mtype	2
    mmtyp	3
    r	1
    H	1
    mac	0
    E	2
    sympr	
    HM	1
    date	Tue Jul  6 22:11:29 CEST 2010
    edate	Tue Jul  6 22:11:29 CEST 2010
    bnspeed	1

Constructed by: $Id: tmJob.awk,v 1.34 2010/05/06 18:26:17 heiner Exp $ $Id: basics.awk,v 1.1 2010/05/06 17:24:17 heiner Exp $ $Id: htSupp.awk,v 1.14 2010/07/06 19:48:32 heiner Exp $ $Id: mmSim.awk,v 1.34 2005/01/09 22:23:28 heiner Exp $ $Id: bignum.awk,v 1.34 2010/05/06 17:58:14 heiner Exp $ $Id: varLI.awk,v 1.11 2005/01/15 21:01:29 heiner Exp $ bignum signature: LEN={S++:9 U++:9 S+:8 U+:8 S*:4 U*:4} DONT: y i o;
Start: Tue Jul 6 22:11:29 CEST 2010
Ready: Tue Jul 6 22:11:29 CEST 2010