The parallelizing Express

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The parallelizing Express

Repository

Team Members

  1. Abbas Zoeb
  2. Jadrian Sunga
  3. Marko Radmanovic
Email All

Progress

Assignment 1

SudokuMP

SudokuMP solves sudoku puzzles given a txt file arranging the puzzle and the size of the puzzle. There are two methods to solve said puzzles the brute force method and the humanistic solver. Profiling wasn't performed on the humanistic solver since it manages to solve all the 16x16 puzzles extremely quickly the worst of them still being under 12ms. The project can be found here: SudokuMP

16x16 easy 1

Command line: ./sudoku src/16x16/easy1.txt 16

   Before :                                                  After :
   00 00 00 00 | 00 00 00 08 | 00 00 07 00 | 00 05 04 00     11 01 09 10 | 06 13 03 08 | 02 14 07 12 | 16 05 04 15  
   00 00 04 00 | 00 02 16 00 | 01 05 00 11 | 09 12 00 00     06 15 04 13 | 10 02 16 14 | 01 05 03 11 | 09 12 08 07  
   00 08 00 07 | 05 00 15 11 | 09 04 16 00 | 02 00 00 00     14 08 03 07 | 05 12 15 11 | 09 04 16 06 | 02 10 13 01  
   05 00 12 16 | 01 09 00 00 | 00 13 00 00 | 00 00 00 06     05 02 12 16 | 01 09 07 04 | 08 13 10 15 | 03 11 14 06
   -----------------------------------------------------     -----------------------------------------------------
   15 00 10 00 | 00 00 02 00 | 00 00 05 00 | 00 00 16 03     15 11 10 09 | 08 07 02 12 | 13 01 05 04 | 14 06 16 03  
   00 07 00 00 | 00 00 00 10 | 06 15 08 00 | 00 09 02 00     12 07 14 03 | 13 05 04 10 | 06 15 08 16 | 01 09 02 11  
   01 00 13 00 | 14 00 00 00 | 10 07 00 09 | 00 08 00 05     01 16 13 04 | 14 06 11 03 | 10 07 02 09 | 12 08 15 05  
   08 06 00 00 | 00 00 01 00 | 14 00 00 03 | 13 04 00 10     08 06 02 05 | 09 15 01 16 | 14 12 11 03 | 13 04 07 10  
   -----------------------------------------------------     -----------------------------------------------------
   13 00 16 06 | 15 00 00 09 | 00 11 00 00 | 00 00 01 02     13 14 16 06 | 15 10 05 09 | 04 11 12 08 | 07 03 01 02  
   03 00 08 00 | 12 00 06 01 | 00 00 00 07 | 00 16 00 13     03 10 08 11 | 12 04 06 01 | 15 02 14 07 | 05 16 09 13  
   00 05 01 00 | 00 14 08 07 | 16 00 00 00 | 00 00 12 00     09 05 01 02 | 03 14 08 07 | 16 06 13 10 | 11 15 12 04  
   07 04 00 00 | 00 11 00 00 | 00 09 00 00 | 00 14 00 08     07 04 15 12 | 16 11 13 02 | 03 09 01 05 | 10 14 06 08  
   -----------------------------------------------------     -----------------------------------------------------
   16 00 00 00 | 00 00 12 00 | 00 00 06 01 | 15 02 00 09     16 13 07 14 | 04 03 12 05 | 11 08 06 01 | 15 02 10 09  
   00 00 00 01 | 00 08 10 06 | 12 16 00 13 | 04 00 03 00     02 09 05 01 | 11 08 10 06 | 12 16 15 13 | 04 07 03 14  
   00 00 11 08 | 02 00 09 15 | 00 03 04 00 | 00 13 00 00     10 12 11 08 | 02 01 09 15 | 07 03 04 14 | 06 13 05 16  
   00 03 06 00 | 00 16 00 00 | 05 00 00 00 | 00 00 00 00     04 03 06 15 | 07 16 14 13 | 05 10 09 02 | 08 01 11 12  


NOTE : The profiles for this project were quite large so only the most used functions are listed here. The entire profile file can be find through the links provided above the respective flat profile.

Link to full profile : FULL

Flat Profile :

Each sample counts as 0.01 seconds.
no time accumulated
 %   cumulative   self              self     total           
time   seconds   seconds    calls   s/call   s/call  name    
65.87      0.81     0.81    59789     0.00     0.00  create_copy_board(Board*)
21.14      1.07     0.26    59777     0.00     0.00  choose_cell_bf(Board*, int&, int&)
 6.51      1.15     0.08    59790     0.00     0.00  Board::Board(int)
 6.51      1.23     0.08    59777     0.00     0.00  Board::~Board()
 0.00      1.23     0.00   179709     0.00     0.00  clear_number(Board*, int, Align, int)
 0.00      1.23     0.00   179370     0.00     0.00  Board* const& std::forward<Board* const&>(std::remove_reference<Board* const&>::type&)
 0.00      1.23     0.00    59903     0.00     0.00  update_solution(Board*, int, int, int)
 0.00      1.23     0.00    59790     0.00     0.00  _ZN9__gnu_cxx13new_allocatorIP5BoardE9constructIS2_IRKS2_EEEvPT_DpOT0_
 0.00      1.23     0.00    59790     0.00     0.00  std::enable_if<std::__and_<std::allocator_traits<std::allocator<Board*> >::__construct_helper<Board*, Board* const&>::type>::value, void>::type std::allocator_traits<std::allocator<Board*> >::_S_construct<Board*, Board* const&>(std::allocator<Board*>&, Board**, Board* const&)
 0.00      1.23     0.00    59790     0.00     0.00  decltype (_S_construct({parm#1}, {parm#2}, (forward<Board* const&>)({parm#3}))) std::allocator_traits<std::allocator<Board*> >::construct<Board*, Board* const&>(std::allocator<Board*>&, Board**, Board* const&)
 0.00      1.23     0.00    59790     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::push_back(Board* const&)
 0.00      1.23     0.00    59790     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::push(Board* const&)
 0.00      1.23     0.00    59790     0.00     0.00  operator new(unsigned long, void*)
 0.00      1.23     0.00    59784     0.00     0.00  std::_Deque_iterator<Board*, Board*&, Board**>::_Deque_iterator(std::_Deque_iterator<Board*, Board*&, Board**> const&)
 0.00      1.23     0.00    59780     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::end()
 0.00      1.23     0.00    59778     0.00     0.00  void __gnu_cxx::new_allocator<Board*>::destroy<Board*>(Board**)
 0.00      1.23     0.00    59778     0.00     0.00  std::_Deque_iterator<Board*, Board*&, Board**>::operator*() const
 0.00      1.23     0.00    59778     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::empty() const
 0.00      1.23     0.00    59778     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::empty() const
 0.00      1.23     0.00    59778     0.00     0.00  std::_Deque_iterator<Board*, Board*&, Board**>::operator--()
 0.00      1.23     0.00    59778     0.00     0.00  std::enable_if<std::__and_<std::allocator_traits<std::allocator<Board*> >::__destroy_helper<Board*>::type>::value, void>::type std::allocator_traits<std::allocator<Board*> >::_S_destroy<Board*>(std::allocator<Board*>&, Board**)
 0.00      1.23     0.00    59778     0.00     0.00  void std::allocator_traits<std::allocator<Board*> >::destroy<Board*>(std::allocator<Board*>&, Board**)
 0.00      1.23     0.00    59778     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::back()
 0.00      1.23     0.00    59778     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::pop_back()
 0.00      1.23     0.00    59778     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::pop()
 0.00      1.23     0.00    59778     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::top()
 0.00      1.23     0.00    59778     0.00     0.00  bool std::operator==<Board*, Board*&, Board**>(std::_Deque_iterator<Board*, Board*&, Board**> const&, std::_Deque_iterator<Board*, Board*&, Board**> const&)
 0.00      1.23     0.00    59777     0.00     0.00  update_stack(Board*)
 0.00      1.23     0.00       24     0.00     0.00  std::__deque_buf_size(unsigned long)

16x16 easy 2

Command line: ./sudoku src/16x16/easy2.txt 16

   Before :                                                  After :
   00 00 00 00 | 13 00 12 00 | 03 00 05 00 | 00 08 01 10     09 16 06 02 | 13 04 12 07 | 03 11 05 15 | 14 08 01 10
   01 00 15 04 | 09 00 16 14 | 13 12 00 00 | 06 00 00 03     01 07 15 04 | 09 05 16 14 | 13 12 10 08 | 06 11 02 03  
   00 13 00 05 | 00 00 00 10 | 00 09 00 02 | 07 12 00 00     11 13 03 05 | 01 08 06 10 | 14 09 04 02 | 07 12 15 16  
   08 00 00 00 | 00 15 02 00 | 00 01 06 00 | 00 00 04 00     08 14 10 12 | 03 15 02 11 | 07 01 06 16 | 05 13 04 09  
   -----------------------------------------------------     -----------------------------------------------------
   00 04 00 00 | 00 00 00 00 | 00 00 00 05 | 02 00 00 14     16 04 07 09 | 06 10 15 12 | 11 08 01 05 | 02 03 13 14  
   00 00 01 06 | 00 00 00 00 | 15 13 00 14 | 00 00 16 12     03 08 01 06 | 11 02 04 09 | 15 13 07 14 | 10 05 16 12  
   00 12 00 00 | 00 00 00 08 | 00 03 00 04 | 01 00 07 00     10 12 11 13 | 16 14 05 08 | 02 03 09 04 | 01 06 07 15  
   00 00 00 15 | 00 03 01 00 | 16 00 00 10 | 00 04 08 11     05 02 14 15 | 07 03 01 13 | 16 06 12 10 | 09 04 08 11  
   -----------------------------------------------------    -----------------------------------------------------
   00 00 00 00 | 00 00 08 16 | 00 04 00 01 | 00 14 00 00     12 03 02 10 | 15 07 08 16 | 09 04 13 01 | 11 14 05 06  
   00 15 00 00 | 00 06 09 00 | 10 05 11 00 | 00 16 12 01     04 15 08 07 | 14 06 09 02 | 10 05 11 03 | 13 16 12 01  
   00 11 09 00 | 00 00 00 00 | 08 00 00 00 | 00 02 03 07     06 11 09 16 | 10 01 13 05 | 08 15 14 12 | 04 02 03 07  
   13 00 00 00 | 00 12 11 00 | 06 02 16 07 | 00 00 00 00     13 01 05 14 | 04 12 11 03 | 06 02 16 07 | 15 09 10 08  
   -----------------------------------------------------     -----------------------------------------------------
   00 10 12 00 | 00 13 03 00 | 04 00 15 00 | 16 00 00 05     14 10 12 08 | 02 13 03 06 | 04 07 15 09 | 16 01 11 05  
   02 00 04 00 | 00 00 07 01 | 00 00 00 06 | 00 00 14 13     02 09 04 11 | 05 16 07 01 | 12 10 03 06 | 08 15 14 13  
   00 00 00 03 | 08 09 00 00 | 01 16 02 11 | 12 10 00 00     07 05 13 03 | 08 09 14 15 | 01 16 02 11 | 12 10 06 04  
   00 00 16 01 | 12 11 00 00 | 05 14 00 00 | 03 07 09 00     15 06 16 01 | 12 11 10 04 | 05 14 08 13 | 03 07 09 02  

Link to full profile : FULL

Flat Profile :

Each sample counts as 0.01 seconds.
no time accumulated
 %   cumulative   self              self     total           
time   seconds   seconds    calls  Ts/call  Ts/call  name    
 0.00      0.00     0.00      975     0.00     0.00  clear_number(Board*, int, Align, int)
 0.00      0.00     0.00      633     0.00     0.00  Board* const& std::forward<Board* const&>(std::remove_reference<Board* const&>::type&)
 0.00      0.00     0.00      325     0.00     0.00  update_solution(Board*, int, int, int)
 0.00      0.00     0.00      217     0.00     0.00  std::_Deque_iterator<Board*, Board*&, Board**>::_Deque_iterator(std::_Deque_iterator<Board*, Board*&, Board**> const&)
 0.00      0.00     0.00      213     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::end()
 0.00      0.00     0.00      211     0.00     0.00  Board::Board(int)
 0.00      0.00     0.00      211     0.00     0.00  void __gnu_cxx::new_allocator<Board*>::destroy<Board*>(Board**)
 0.00      0.00     0.00      211     0.00     0.00  _ZN9__gnu_cxx13new_allocatorIP5BoardE9constructIS2_IRKS2_EEEvPT_DpOT0_
 0.00      0.00     0.00      211     0.00     0.00  std::_Deque_iterator<Board*, Board*&, Board**>::operator*() const
 0.00      0.00     0.00      211     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::empty() const
 0.00      0.00     0.00      211     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::empty() const
 0.00      0.00     0.00      211     0.00     0.00  std::_Deque_iterator<Board*, Board*&, Board**>::operator--()
 0.00      0.00     0.00      211     0.00     0.00  std::enable_if<std::__and_<std::allocator_traits<std::allocator<Board*> >::__destroy_helper<Board*>::type>::value, void>::type std::allocator_traits<std::allocator<Board*> >::_S_destroy<Board*>(std::allocator<Board*>&, Board**)
 0.00      0.00     0.00      211     0.00     0.00  std::enable_if<std::__and_<std::allocator_traits<std::allocator<Board*> >::__construct_helper<Board*, Board* const&>::type>::value, void>::type std::allocator_traits<std::allocator<Board*> >::_S_construct<Board*, Board* const&>(std::allocator<Board*>&, Board**, Board* const&)
 0.00      0.00     0.00      211     0.00     0.00  void std::allocator_traits<std::allocator<Board*> >::destroy<Board*>(std::allocator<Board*>&, Board**)
 0.00      0.00     0.00      211     0.00     0.00  decltype (_S_construct({parm#1}, {parm#2}, (forward<Board* const&>)({parm#3}))) std::allocator_traits<std::allocator<Board*> >::construct<Board*, Board* const&>(std::allocator<Board*>&, Board**, Board* const&)
 0.00      0.00     0.00      211     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::back()
 0.00      0.00     0.00      211     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::pop_back()
 0.00      0.00     0.00      211     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::push_back(Board* const&)
 0.00      0.00     0.00      211     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::pop()
 0.00      0.00     0.00      211     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::top()
 0.00      0.00     0.00      211     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::push(Board* const&)
 0.00      0.00     0.00      211     0.00     0.00  bool std::operator==<Board*, Board*&, Board**>(std::_Deque_iterator<Board*, Board*&, Board**> const&, std::_Deque_iterator<Board*, Board*&, Board**> const&)
 0.00      0.00     0.00      211     0.00     0.00  operator new(unsigned long, void*)
 0.00      0.00     0.00      210     0.00     0.00  update_stack(Board*)
 0.00      0.00     0.00      210     0.00     0.00  choose_cell_bf(Board*, int&, int&)
 0.00      0.00     0.00      210     0.00     0.00  create_copy_board(Board*)
 0.00      0.00     0.00      210     0.00     0.00  Board::~Board()
 0.00      0.00     0.00       24     0.00     0.00  std::__deque_buf_size(unsigned long)

16x16 medium 1

Command line: ./sudoku src/16x16/medium1.txt 16

   Before :                                                  After :
   00 00 06 15 | 00 12 09 04 | 11 02 07 16 | 00 03 00 13     05 01 06 15 | 08 12 09 04 | 11 02 07 16 | 14 03 10 13  
   00 10 00 00 | 01 00 00 15 | 12 00 08 00 | 00 02 00 00     14 10 13 03 | 01 05 06 15 | 12 09 08 04 | 16 02 11 07  
   07 11 16 02 | 00 00 00 03 | 05 15 01 06 | 09 00 00 00     07 11 16 02 | 13 10 14 03 | 05 15 01 06 | 09 04 12 08  
   00 12 00 00 | 07 11 00 00 | 00 03 13 14 | 06 15 05 00     08 12 09 04 | 07 11 16 02 | 10 03 13 14 | 06 15 05 01  
   -----------------------------------------------------     -----------------------------------------------------
   00 06 12 00 | 00 00 11 00 | 00 00 03 10 | 00 13 14 15     04 06 12 01 | 02 09 11 08 | 16 07 03 10 | 05 13 14 15  
   00 00 10 00 | 00 14 00 00 | 00 01 00 00 | 00 00 09 00     03 16 10 07 | 15 14 05 13 | 06 01 04 12 | 11 08 09 02  
   02 09 00 00 | 03 00 00 00 | 14 00 15 05 | 12 00 06 00     02 09 11 08 | 03 16 10 07 | 14 13 15 05 | 12 01 06 04  
   15 00 00 13 | 00 06 12 00 | 09 00 00 00 | 10 07 00 03     15 05 14 13 | 04 06 12 01 | 09 08 11 02 | 10 07 16 03  
   -----------------------------------------------------     -----------------------------------------------------
   10 02 00 00 | 05 03 00 14 | 15 06 00 01 | 08 09 00 11     10 02 07 16 | 05 03 13 14 | 15 06 12 01 | 08 09 04 11  
   00 00 00 14 | 00 00 01 06 | 04 00 00 00 | 07 00 00 00     12 13 03 14 | 09 15 01 06 | 04 11 10 08 | 07 16 02 05  
   11 00 08 09 | 00 00 07 00 | 00 14 00 00 | 00 06 15 12     11 04 08 09 | 10 02 07 16 | 03 14 05 13 | 01 06 15 12  
   00 15 01 00 | 11 00 08 00 | 00 00 00 07 | 00 00 03 00     06 15 01 05 | 11 04 08 12 | 02 16 09 07 | 13 14 03 10  
   -----------------------------------------------------     -----------------------------------------------------
   16 00 02 00 | 14 00 00 10 | 13 05 00 15 | 04 00 01 00     16 07 02 11 | 14 08 03 10 | 13 05 06 15 | 04 12 01 09  
   00 00 00 00 | 00 00 00 00 | 08 00 00 00 | 00 00 07 14     01 03 15 06 | 12 13 04 09 | 08 10 16 11 | 02 05 07 14  
   00 00 00 00 | 16 00 00 00 | 00 00 14 03 | 00 00 00 00     09 08 05 12 | 16 01 02 11 | 07 04 14 03 | 15 10 13 06  
   00 00 00 00 | 06 00 15 05 | 01 12 00 00 | 00 11 08 00     13 14 04 10 | 06 07 15 05 | 01 12 02 09 | 03 11 08 16  

Link to full profile : FULL

Flat Profile :

Each sample counts as 0.01 seconds.
 %   cumulative   self              self     total           
time   seconds   seconds    calls  ms/call  ms/call  name    
70.23      0.33     0.33    23099     0.01     0.02  create_copy_board(Board*)
14.90      0.40     0.07    23083     0.00     0.00  choose_cell_bf(Board*, int&, int&)
10.64      0.45     0.05    23100     0.00     0.00  Board::Board(int)
 4.26      0.47     0.02    23083     0.00     0.00  Board::~Board()
 0.00      0.47     0.00    69645     0.00     0.00  clear_number(Board*, int, Align, int)
 0.00      0.47     0.00    69300     0.00     0.00  Board* const& std::forward<Board* const&>(std::remove_reference<Board* const&>::type&)
 0.00      0.47     0.00    23215     0.00     0.00  update_solution(Board*, int, int, int)
 0.00      0.47     0.00    23100     0.00     0.00  _ZN9__gnu_cxx13new_allocatorIP5BoardE9constructIS2_IRKS2_EEEvPT_DpOT0_
 0.00      0.47     0.00    23100     0.00     0.00  std::enable_if<std::__and_<std::allocator_traits<std::allocator<Board*> >::__construct_helper<Board*, Board* const&>::type>::value, void>::type std::allocator_traits<std::allocator<Board*> >::_S_construct<Board*, Board* const&>(std::allocator<Board*>&, Board**, Board* const&)
 0.00      0.47     0.00    23100     0.00     0.00  decltype (_S_construct({parm#1}, {parm#2}, (forward<Board* const&>)({parm#3}))) std::allocator_traits<std::allocator<Board*> >::construct<Board*, Board* const&>(std::allocator<Board*>&, Board**, Board* const&)
 0.00      0.47     0.00    23100     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::push_back(Board* const&)
 0.00      0.47     0.00    23100     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::push(Board* const&)
 0.00      0.47     0.00    23100     0.00     0.00  operator new(unsigned long, void*)
 0.00      0.47     0.00    23090     0.00     0.00  std::_Deque_iterator<Board*, Board*&, Board**>::_Deque_iterator(std::_Deque_iterator<Board*, Board*&, Board**> const&)
 0.00      0.47     0.00    23086     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::end()
 0.00      0.47     0.00    23084     0.00     0.00  void __gnu_cxx::new_allocator<Board*>::destroy<Board*>(Board**)
 0.00      0.47     0.00    23084     0.00     0.00  std::_Deque_iterator<Board*, Board*&, Board**>::operator*() const
 0.00      0.47     0.00    23084     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::empty() const
 0.00      0.47     0.00    23084     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::empty() const
 0.00      0.47     0.00    23084     0.00     0.00  std::_Deque_iterator<Board*, Board*&, Board**>::operator--()
 0.00      0.47     0.00    23084     0.00     0.00  std::enable_if<std::__and_<std::allocator_traits<std::allocator<Board*> >::__destroy_helper<Board*>::type>::value, void>::type std::allocator_traits<std::allocator<Board*> >::_S_destroy<Board*>(std::allocator<Board*>&, Board**)
 0.00      0.47     0.00    23084     0.00     0.00  void std::allocator_traits<std::allocator<Board*> >::destroy<Board*>(std::allocator<Board*>&, Board**)
 0.00      0.47     0.00    23084     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::back()
 0.00      0.47     0.00    23084     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::pop_back()
 0.00      0.47     0.00    23084     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::pop()
 0.00      0.47     0.00    23084     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::top()
 0.00      0.47     0.00    23084     0.00     0.00  bool std::operator==<Board*, Board*&, Board**>(std::_Deque_iterator<Board*, Board*&, Board**> const&, std::_Deque_iterator<Board*, Board*&, Board**> const&)
 0.00      0.47     0.00    23083     0.00     0.02  update_stack(Board*)
 0.00      0.47     0.00       24     0.00     0.00  std::__deque_buf_size(unsigned long)


16x16 hard 1

Command line: ./sudoku src/16x16/hard1.txt 16

   Before :                                                  After :
   02 00 00 00 | 00 00 00 16 | 00 06 00 00 | 00 00 00 05     02 07 14 03 | 09 15 13 16 | 04 06 10 08 | 01 11 12 05  
   00 10 08 00 | 00 00 00 00 | 00 00 00 00 | 00 13 15 00     04 10 08 06 | 05 01 11 12 | 02 07 14 03 | 16 13 15 09  
   00 01 12 05 | 00 00 00 00 | 00 00 00 00 | 10 04 08 00     11 01 12 05 | 03 07 02 14 | 13 09 16 15 | 10 04 08 06  
   13 00 15 09 | 06 00 00 00 | 00 00 01 12 | 07 02 00 00     13 16 15 09 | 06 08 04 10 | 11 05 01 12 | 07 02 14 03  
   -----------------------------------------------------     -----------------------------------------------------
   00 00 00 08 | 12 11 00 00 | 00 00 03 02 | 09 00 00 00     01 06 04 08 | 12 11 07 05 | 16 14 03 02 | 09 10 13 15  
   16 00 00 00 | 15 13 10 00 | 00 08 06 04 | 00 00 00 00     16 03 02 14 | 15 13 10 09 | 01 08 06 04 | 05 07 11 12  
   00 00 13 00 | 00 04 01 06 | 07 12 05 00 | 00 00 00 00     10 09 13 15 | 08 04 01 06 | 07 12 05 11 | 03 16 02 14  
   00 00 00 00 | 14 02 16 03 | 10 15 09 00 | 00 00 00 00     07 05 11 12 | 14 02 16 03 | 10 15 09 13 | 06 01 04 08  
   -----------------------------------------------------     -----------------------------------------------------
   15 00 00 16 | 10 00 00 00 | 00 00 04 05 | 00 00 00 07     15 02 09 16 | 10 06 08 13 | 12 01 04 05 | 11 14 03 07  
   00 11 00 07 | 00 00 15 00 | 00 10 00 06 | 04 00 05 01     14 11 03 07 | 16 09 15 02 | 08 10 13 06 | 04 12 05 01  
   12 00 05 01 | 00 03 14 00 | 00 16 02 00 | 13 08 00 10     12 04 05 01 | 07 03 14 11 | 15 16 02 09 | 13 08 06 10  
   00 13 06 00 | 00 00 00 04 | 14 00 00 00 | 02 15 09 00     08 13 06 10 | 01 05 12 04 | 14 03 11 07 | 02 15 09 16  
   -----------------------------------------------------     -----------------------------------------------------
   03 00 07 11 | 00 16 00 00 | 00 00 15 00 | 08 05 00 04     03 12 07 11 | 02 16 09 01 | 06 13 15 14 | 08 05 10 04  
   00 00 00 13 | 00 00 05 08 | 03 11 00 00 | 14 00 00 00     06 15 01 13 | 04 12 05 08 | 03 11 07 10 | 14 09 16 02  
   00 00 00 04 | 11 00 00 00 | 00 00 00 16 | 15 00 00 00     05 08 10 04 | 11 14 03 07 | 09 02 12 16 | 15 06 01 13  
   00 00 00 00 | 13 10 06 15 | 05 04 08 01 | 00 00 00 00     09 14 16 02 | 13 10 06 15 | 05 04 08 01 | 12 03 07 11  

Link to full profile : FULL

Flat Profile :

 Each sample counts as 0.01 seconds.
 %   cumulative   self              self     total          
time   seconds   seconds    calls   s/call   s/call  name    
66.17      5.94     5.94   432968     0.00     0.00  create_copy_board(Board*)
22.28      7.94     2.00   432950     0.00     0.00  choose_cell_bf(Board*, int&, int&)
 6.02      8.48     0.54   432969     0.00     0.00  Board::Board(int)
 4.46      8.88     0.40   432950     0.00     0.00  Board::~Board()
 0.67      8.94     0.06  1299222     0.00     0.00  clear_number(Board*, int, Align, int)
 0.22      8.96     0.02   433074     0.00     0.00  update_solution(Board*, int, int, int)
 0.22      8.98     0.02   432950     0.00     0.00  update_stack(Board*)
 0.00      8.98     0.00  1298907     0.00     0.00  Board* const& std::forward<Board* const&>(std::remove_reference<Board* const&>::type&)
 0.00      8.98     0.00   432969     0.00     0.00  _ZN9__gnu_cxx13new_allocatorIP5BoardE9constructIS2_IRKS2_EEEvPT_DpOT0_
 0.00      8.98     0.00   432969     0.00     0.00  std::enable_if<std::__and_<std::allocator_traits<std::allocator<Board*> >::__construct_helper<Board*, Board* const&>::type>::value, void>::type std::allocator_traits<std::allocator<Board*> >::_S_construct<Board*, Board* const&>(std::allocator<Board*>&, Board**, Board* const&)
 0.00      8.98     0.00   432969     0.00     0.00  decltype (_S_construct({parm#1}, {parm#2}, (forward<Board* const&>)({parm#3}))) std::allocator_traits<std::allocator<Board*> >::construct<Board*, Board* const&>(std::allocator<Board*>&, Board**, Board* const&)
 0.00      8.98     0.00   432969     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::push_back(Board* const&)
 0.00      8.98     0.00   432969     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::push(Board* const&)
 0.00      8.98     0.00   432969     0.00     0.00  operator new(unsigned long, void*)
 0.00      8.98     0.00   432957     0.00     0.00  std::_Deque_iterator<Board*, Board*&, Board**>::_Deque_iterator(std::_Deque_iterator<Board*, Board*&, Board**> const&)
 0.00      8.98     0.00   432953     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::end()
 0.00      8.98     0.00   432951     0.00     0.00  void __gnu_cxx::new_allocator<Board*>::destroy<Board*>(Board**)
 0.00      8.98     0.00   432951     0.00     0.00  std::_Deque_iterator<Board*, Board*&, Board**>::operator*() const
 0.00      8.98     0.00   432951     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::empty() const
 0.00      8.98     0.00   432951     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::empty() const
 0.00      8.98     0.00   432951     0.00     0.00  std::_Deque_iterator<Board*, Board*&, Board**>::operator--()
 0.00      8.98     0.00   432951     0.00     0.00  std::enable_if<std::__and_<std::allocator_traits<std::allocator<Board*> >::__destroy_helper<Board*>::type>::value, void>::type std::allocator_traits<std::allocator<Board*> >::_S_destroy<Board*>(std::allocator<Board*>&, Board**)
 0.00      8.98     0.00   432951     0.00     0.00  void std::allocator_traits<std::allocator<Board*> >::destroy<Board*>(std::allocator<Board*>&, Board**)
 0.00      8.98     0.00   432951     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::back()
 0.00      8.98     0.00   432951     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::pop_back()
 0.00      8.98     0.00   432951     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::pop()
 0.00      8.98     0.00   432951     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::top()
 0.00      8.98     0.00   432951     0.00     0.00  bool std::operator==<Board*, Board*&, Board**>(std::_Deque_iterator<Board*, Board*&, Board**> const&, std::_Deque_iterator<Board*, Board*&, Board**> const&)
 0.00      8.98     0.00       24     0.00     0.00  std::__deque_buf_size(unsigned long)
 0.00      8.98     0.00        6     0.00     0.00  std::_Deque_iterator<State*, State*&, State**>::_Deque_iterator(std::_Deque_iterator<State*, State*&, State**> const&)


16x16 hard 2

Command line: ./sudoku src/16x16/hard2.txt 16

   Before :                                                  After :
   00 00 00 13 | 15 00 00 07 | 08 11 00 16 | 00 00 00 00     10 03 14 13 | 15 12 05 07 | 08 11 09 16 | 01 04 02 06  
   00 00 00 00 | 00 01 14 00 | 00 00 00 02 | 00 00 05 00     07 15 11 16 | 03 01 14 13 | 10 06 04 02 | 12 08 05 09  
   00 00 08 00 | 10 00 00 00 | 00 00 15 12 | 00 00 03 14     09 06 08 01 | 10 11 02 04 | 05 07 15 12 | 13 16 03 14  
   00 00 00 00 | 06 00 00 09 | 01 00 13 00 | 00 10 07 00     04 05 02 12 | 06 16 08 09 | 01 14 13 03 | 15 10 07 11  
   -----------------------------------------------------     -----------------------------------------------------
   00 07 05 00 | 12 10 00 08 | 00 00 06 00 | 00 13 00 00     03 07 05 02 | 12 10 11 08 | 14 04 06 15 | 16 13 09 01  
   00 00 00 11 | 00 00 00 00 | 07 00 00 00 | 00 15 00 03     12 08 01 11 | 14 13 16 06 | 07 02 05 09 | 04 15 10 03  
   00 00 06 04 | 00 15 09 00 | 12 03 11 00 | 00 00 00 07     16 13 06 04 | 02 15 09 01 | 12 03 11 10 | 05 14 08 07  
   14 00 00 15 | 00 00 00 00 | 00 00 00 13 | 06 00 00 00     14 09 10 15 | 05 04 07 03 | 16 01 08 13 | 06 12 11 02  
   -----------------------------------------------------     -----------------------------------------------------
   00 04 00 09 | 07 00 00 00 | 15 00 00 00 | 00 11 00 10     02 04 13 09 | 07 14 12 05 | 15 16 03 06 | 08 11 01 10  
   01 14 00 00 | 00 00 03 00 | 00 09 07 00 | 00 00 13 04     01 14 12 10 | 16 06 03 15 | 11 09 07 08 | 02 05 13 04  
   05 00 00 00 | 00 08 00 11 | 04 10 00 00 | 14 00 00 15     05 16 03 06 | 09 08 13 11 | 04 10 02 01 | 14 07 12 15  
   00 00 15 07 | 00 02 00 00 | 00 00 14 00 | 00 00 06 00     08 11 15 07 | 04 02 01 10 | 13 12 14 05 | 09 03 06 16  
   -----------------------------------------------------     -----------------------------------------------------
   00 10 09 00 | 00 00 00 14 | 00 13 00 00 | 00 00 00 08     11 10 09 05 | 01 07 15 14 | 02 13 12 04 | 03 06 16 08  
   00 02 00 08 | 11 00 04 00 | 03 00 16 00 | 00 00 00 00     06 02 07 08 | 11 09 04 12 | 03 05 16 14 | 10 01 15 13  
   13 00 00 00 | 00 05 00 16 | 00 15 00 07 | 11 00 14 12     13 01 04 03 | 08 05 06 16 | 09 15 10 07 | 11 02 14 12  
   00 12 00 00 | 13 03 10 00 | 06 08 00 11 | 00 00 00 00     15 12 16 14 | 13 03 10 02 | 06 08 01 11 | 07 09 04 05  

Link to full profile : FULL

Flat Profile :

 Each sample counts as 0.01 seconds.
 %   cumulative   self              self     total          
time   seconds   seconds    calls   s/call   s/call  name    
63.01      4.68     4.68   347198     0.00     0.00  create_copy_board(Board*)
24.77      6.52     1.84   347184     0.00     0.00  choose_cell_bf(Board*, int&, int&)
 7.54      7.08     0.56   347199     0.00     0.00  Board::Board(int)
 4.04      7.38     0.30   347184     0.00     0.00  Board::~Board()
 0.54      7.42     0.04  1041882     0.00     0.00  clear_number(Board*, int, Align, int)
 0.13      7.43     0.01   347294     0.00     0.00  update_solution(Board*, int, int, int)
 0.00      7.43     0.00  1041597     0.00     0.00  Board* const& std::forward<Board* const&>(std::remove_reference<Board* const&>::type&)
 0.00      7.43     0.00   347199     0.00     0.00  _ZN9__gnu_cxx13new_allocatorIP5BoardE9constructIS2_IRKS2_EEEvPT_DpOT0_
 0.00      7.43     0.00   347199     0.00     0.00  std::enable_if<std::__and_<std::allocator_traits<std::allocator<Board*> >::__construct_helper<Board*, Board* const&>::type>::value, void>::type std::allocator_traits<std::allocator<Board*> >::_S_construct<Board*, Board* const&>(std::allocator<Board*>&, Board**, Board* const&)
 0.00      7.43     0.00   347199     0.00     0.00  decltype (_S_construct({parm#1}, {parm#2}, (forward<Board* const&>)({parm#3}))) std::allocator_traits<std::allocator<Board*> >::construct<Board*, Board* const&>(std::allocator<Board*>&, Board**, Board* const&)
 0.00      7.43     0.00   347199     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::push_back(Board* const&)
 0.00      7.43     0.00   347199     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::push(Board* const&)
 0.00      7.43     0.00   347199     0.00     0.00  operator new(unsigned long, void*)
 0.00      7.43     0.00   347191     0.00     0.00  std::_Deque_iterator<Board*, Board*&, Board**>::_Deque_iterator(std::_Deque_iterator<Board*, Board*&, Board**> const&)
 0.00      7.43     0.00   347187     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::end()
 0.00      7.43     0.00   347185     0.00     0.00  void __gnu_cxx::new_allocator<Board*>::destroy<Board*>(Board**)
 0.00      7.43     0.00   347185     0.00     0.00  std::_Deque_iterator<Board*, Board*&, Board**>::operator*() const
 0.00      7.43     0.00   347185     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::empty() const
 0.00      7.43     0.00   347185     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::empty() const
 0.00      7.43     0.00   347185     0.00     0.00  std::_Deque_iterator<Board*, Board*&, Board**>::operator--()
 0.00      7.43     0.00   347185     0.00     0.00  std::enable_if<std::__and_<std::allocator_traits<std::allocator<Board*> >::__destroy_helper<Board*>::type>::value, void>::type std::allocator_traits<std::allocator<Board*> >::_S_destroy<Board*>(std::allocator<Board*>&, Board**)
 0.00      7.43     0.00   347185     0.00     0.00  void std::allocator_traits<std::allocator<Board*> >::destroy<Board*>(std::allocator<Board*>&, Board**)
 0.00      7.43     0.00   347185     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::back()
 0.00      7.43     0.00   347185     0.00     0.00  std::deque<Board*, std::allocator<Board*> >::pop_back()
 0.00      7.43     0.00   347185     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::pop()
 0.00      7.43     0.00   347185     0.00     0.00  std::stack<Board*, std::deque<Board*, std::allocator<Board*> > >::top()
 0.00      7.43     0.00   347185     0.00     0.00  bool std::operator==<Board*, Board*&, Board**>(std::_Deque_iterator<Board*, Board*&, Board**> const&, std::_Deque_iterator<Board*, Board*&, Board**> const&)
 0.00      7.43     0.00   347184     0.00     0.00  update_stack(Board*)
 0.00      7.43     0.00       24     0.00     0.00  std::__deque_buf_size(unsigned long)