/export/starexec/sandbox/solver/bin/starexec_run_its /export/starexec/sandbox/benchmark/theBenchmark.koat /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE WARNING: Excluded non-linear constraints:[B*B*B>=0,0>=B*B*B] WARNING: Excluded non-linear constraints:[B*B*B>=1,B*B*B>=2*E,1+2*E>=B*B*B] WARNING: Excluded non-linear constraints:[0>=B*B*B+1,2*E>=B*B*B,1+B*B*B>=2*E] WARNING: Excluded non-linear constraints:[B*B*B>=0,0>=B*B*B] WARNING: Excluded non-linear constraints:[B*B*B>=1,B*B*B>=2*L,1+2*L>=B*B*B] WARNING: Excluded non-linear constraints:[0>=B*B*B+1,2*L>=B*B*B,1+B*B*B>=2*L] WARNING: Excluded non-linear constraints:[F*F*F>=0,0>=F*F*F] WARNING: Excluded non-linear constraints:[F*F*F>=1,F*F*F>=2*G,1+2*G>=F*F*F] WARNING: Excluded non-linear constraints:[0>=F*F*F+1,2*G>=F*F*F,1+F*F*F>=2*G] Preprocessing Cost Relations ===================================== #### Computed strongly connected components 0. recursive : [evalfbb2in/4,evalfbb3in/4] 1. recursive : [evalfbb3in_loop_cont/7,evalfbb4in/6,evalfbb5in/6] 2. recursive : [evalfbb5in_loop_cont/9,evalfbb6in/8,evalfbb7in/8] 3. non_recursive : [evalfstop/5] 4. non_recursive : [evalfreturnin/5] 5. non_recursive : [exit_location/1] 6. non_recursive : [evalfbb7in_loop_cont/6] 7. non_recursive : [evalfentryin/5] 8. non_recursive : [evalfstart/5] #### Obtained direct recursion through partial evaluation 0. SCC is partially evaluated into evalfbb3in/4 1. SCC is partially evaluated into evalfbb5in/6 2. SCC is partially evaluated into evalfbb7in/8 3. SCC is completely evaluated into other SCCs 4. SCC is completely evaluated into other SCCs 5. SCC is completely evaluated into other SCCs 6. SCC is partially evaluated into evalfbb7in_loop_cont/6 7. SCC is partially evaluated into evalfentryin/5 8. SCC is partially evaluated into evalfstart/5 Control-Flow Refinement of Cost Relations ===================================== ### Specialization of cost equations evalfbb3in/4 * CE 15 is refined into CE [16] * CE 14 is refined into CE [17] * CE 13 is refined into CE [18] ### Cost equations --> "Loop" of evalfbb3in/4 * CEs [18] --> Loop 15 * CEs [16] --> Loop 16 * CEs [17] --> Loop 17 ### Ranking functions of CR evalfbb3in(C,D,F,G) * RF of phase [15]: [C-D] #### Partial ranking functions of CR evalfbb3in(C,D,F,G) * Partial RF of phase [15]: - RF of loop [15:1]: C-D ### Specialization of cost equations evalfbb5in/6 * CE 11 is refined into CE [19] * CE 9 is refined into CE [20,21] * CE 12 is refined into CE [22] * CE 10 is refined into CE [23,24] ### Cost equations --> "Loop" of evalfbb5in/6 * CEs [24] --> Loop 18 * CEs [23] --> Loop 19 * CEs [19] --> Loop 20 * CEs [21] --> Loop 21 * CEs [20] --> Loop 22 * CEs [22] --> Loop 23 ### Ranking functions of CR evalfbb5in(B,C,D,F,G,H) * RF of phase [18]: [B-C,B-D-1] #### Partial ranking functions of CR evalfbb5in(B,C,D,F,G,H) * Partial RF of phase [18]: - RF of loop [18:1]: B-C B-D-1 ### Specialization of cost equations evalfbb7in/8 * CE 5 is refined into CE [25] * CE 3 is refined into CE [26,27,28,29,30] * CE 6 is refined into CE [31] * CE 4 is refined into CE [32,33,34] ### Cost equations --> "Loop" of evalfbb7in/8 * CEs [33] --> Loop 24 * CEs [34] --> Loop 25 * CEs [32] --> Loop 26 * CEs [25] --> Loop 27 * CEs [28] --> Loop 28 * CEs [27] --> Loop 29 * CEs [26,30] --> Loop 30 * CEs [29,31] --> Loop 31 ### Ranking functions of CR evalfbb7in(A,B,C,D,F,G,H,I) #### Partial ranking functions of CR evalfbb7in(A,B,C,D,F,G,H,I) ### Specialization of cost equations evalfbb7in_loop_cont/6 * CE 7 is refined into CE [35] * CE 8 is refined into CE [36] ### Cost equations --> "Loop" of evalfbb7in_loop_cont/6 * CEs [35] --> Loop 32 * CEs [36] --> Loop 33 ### Ranking functions of CR evalfbb7in_loop_cont(A,B,C,D,E,F) #### Partial ranking functions of CR evalfbb7in_loop_cont(A,B,C,D,E,F) ### Specialization of cost equations evalfentryin/5 * CE 2 is refined into CE [37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52] ### Cost equations --> "Loop" of evalfentryin/5 * CEs [51,52] --> Loop 34 * CEs [49,50] --> Loop 35 * CEs [47,48] --> Loop 36 * CEs [43] --> Loop 37 * CEs [42,46] --> Loop 38 * CEs [41] --> Loop 39 * CEs [39,44] --> Loop 40 * CEs [37,38] --> Loop 41 * CEs [40,45] --> Loop 42 ### Ranking functions of CR evalfentryin(A,B,C,D,F) #### Partial ranking functions of CR evalfentryin(A,B,C,D,F) ### Specialization of cost equations evalfstart/5 * CE 1 is refined into CE [53,54,55,56,57,58,59,60,61] ### Cost equations --> "Loop" of evalfstart/5 * CEs [61] --> Loop 43 * CEs [60] --> Loop 44 * CEs [59] --> Loop 45 * CEs [58] --> Loop 46 * CEs [57] --> Loop 47 * CEs [56] --> Loop 48 * CEs [55] --> Loop 49 * CEs [54] --> Loop 50 * CEs [53] --> Loop 51 ### Ranking functions of CR evalfstart(A,B,C,D,F) #### Partial ranking functions of CR evalfstart(A,B,C,D,F) Computing Bounds ===================================== #### Cost of chains of evalfbb3in(C,D,F,G): * Chain [[15],17]: 1*it(15)+0 Such that:it(15) =< -D+G with precondition: [F=2,C=G,D>=0,C>=D+1] * Chain [[15],16]: 1*it(15)+0 Such that:it(15) =< C-D with precondition: [F=3,D>=0,C>=D+1] * Chain [17]: 0 with precondition: [F=2,D=C,D=G,D>=0] * Chain [16]: 0 with precondition: [F=3,D>=0,C>=D] #### Cost of chains of evalfbb5in(B,C,D,F,G,H): * Chain [23]: 0 with precondition: [F=3,C>=0] * Chain [22]: 0 with precondition: [F=3,C>=0,B>=C+1] * Chain [20]: 0 with precondition: [F=4,H=D,C=G,C>=0,C>=B] * Chain [19,[18],23]: 1*it(18)+1*s(3)+1 Such that:aux(2) =< 1 aux(3) =< B aux(1) =< aux(3) it(18) =< aux(3) aux(1) =< aux(2)+it(18) s(3) =< it(18)*aux(1) with precondition: [C=0,F=3,B>=2] * Chain [19,[18],22]: 1*it(18)+1*s(3)+1 Such that:aux(2) =< 1 aux(4) =< B aux(1) =< aux(4) it(18) =< aux(4) aux(1) =< aux(2)+it(18) s(3) =< it(18)*aux(1) with precondition: [C=0,F=3,B>=3] * Chain [19,[18],21]: 2*it(18)+1*s(3)+1 Such that:aux(2) =< 1 aux(6) =< B it(18) =< aux(6) aux(1) =< aux(6) aux(1) =< aux(2)+it(18) s(3) =< it(18)*aux(1) with precondition: [C=0,F=3,B>=3] * Chain [19,[18],20]: 1*it(18)+1*s(3)+1 Such that:aux(2) =< 1 aux(7) =< G aux(1) =< aux(7) it(18) =< aux(7) aux(1) =< aux(2)+it(18) s(3) =< it(18)*aux(1) with precondition: [C=0,F=4,B=G,B=H+1,B>=2] * Chain [19,23]: 1 with precondition: [C=0,F=3,B>=1] * Chain [19,22]: 1 with precondition: [C=0,F=3,B>=2] * Chain [19,21]: 1*s(4)+1 Such that:s(4) =< 1 with precondition: [C=0,F=3,B>=2] * Chain [19,20]: 1 with precondition: [B=1,C=0,F=4,G=1,H=0] #### Cost of chains of evalfbb7in(A,B,C,D,F,G,H,I): * Chain [[26]]...: 2*it(26)+0 with precondition: [A>=0,B=1] * Chain [[26],31]: 2*it(26)+0 with precondition: [B=1,F=3,A>=0] * Chain [[26],30]: 2*it(26)+1 with precondition: [B=1,F=3,A>=0] * Chain [[26],27]: 2*it(26)+0 with precondition: [B=1,F=5,H=1,I=0,A>=0,G>=A+1] * Chain [[25]]...: 1*it(25)+0 with precondition: [A>=0,0>=B] * Chain [[25],31]: 1*it(25)+0 with precondition: [F=3,0>=B,A>=0] * Chain [[25],27]: 1*it(25)+0 with precondition: [F=5,H=0,D=I,0>=B,A>=0,G>=A+1] * Chain [[24]]...: 4*it(24)+0 with precondition: [A>=0,B>=2] * Chain [[24],31]: 4*it(24)+0 with precondition: [F=3,A>=0,B>=2] * Chain [[24],30]: 4*it(24)+1 with precondition: [F=3,A>=0,B>=2] * Chain [[24],29]: 4*it(24)+1*s(36)+1*s(38)+1*s(39)+1 Such that:s(35) =< 1 s(34) =< B s(36) =< s(35) s(37) =< s(34) s(38) =< s(34) s(37) =< s(35)+s(38) s(39) =< s(38)*s(37) with precondition: [F=3,A>=0,B>=2] * Chain [[24],28]: 4*it(24)+3*s(42)+2*s(44)+1 Such that:s(40) =< 1 s(41) =< B s(42) =< s(41) s(43) =< s(41) s(43) =< s(40)+s(42) s(44) =< s(42)*s(43) with precondition: [F=3,A>=0,B>=3] * Chain [[24],27]: 4*it(24)+0 with precondition: [F=5,B=H,B=I+1,A>=0,B>=2,G>=A+1] * Chain [31]: 0 with precondition: [F=3,A>=0] * Chain [30]: 1 with precondition: [F=3,A>=0,B>=1] * Chain [29]: 1*s(36)+1*s(38)+1*s(39)+1 Such that:s(35) =< 1 s(34) =< B s(36) =< s(35) s(37) =< s(34) s(38) =< s(34) s(37) =< s(35)+s(38) s(39) =< s(38)*s(37) with precondition: [F=3,A>=0,B>=2] * Chain [28]: 3*s(42)+2*s(44)+1 Such that:s(40) =< 1 s(41) =< B s(42) =< s(41) s(43) =< s(41) s(43) =< s(40)+s(42) s(44) =< s(42)*s(43) with precondition: [F=3,A>=0,B>=3] * Chain [27]: 0 with precondition: [F=5,H=C,I=D,A=G,A>=0] #### Cost of chains of evalfbb7in_loop_cont(A,B,C,D,E,F): * Chain [33]: 0 with precondition: [A=3] * Chain [32]: 0 with precondition: [A=5] #### Cost of chains of evalfentryin(A,B,C,D,F): * Chain [42]: 0 with precondition: [] * Chain [41]: 1*aux(17)+0 with precondition: [B=1] * Chain [40]: 1*aux(18)+0 with precondition: [0>=B] * Chain [39]: 1 with precondition: [B>=1] * Chain [38]: 2*s(79)+2*s(81)+2*s(82)+16*s(83)+1 Such that:s(77) =< 1 s(78) =< B s(79) =< s(77) s(80) =< s(78) s(81) =< s(78) s(80) =< s(77)+s(81) s(82) =< s(81)*s(80) with precondition: [B>=2] * Chain [37]: 6*s(87)+4*s(89)+4*s(90)+1 Such that:s(85) =< 1 s(86) =< B s(87) =< s(86) s(88) =< s(86) s(88) =< s(85)+s(87) s(89) =< s(87)*s(88) with precondition: [B>=3] * Chain [36]...: 1*aux(19)+0 with precondition: [B=1] * Chain [35]...: 1*aux(20)+0 with precondition: [0>=B] * Chain [34]...: 1*aux(21)+0 with precondition: [B>=2] #### Cost of chains of evalfstart(A,B,C,D,F): * Chain [51]: 0 with precondition: [] * Chain [50]: 1*s(97)+0 with precondition: [B=1] * Chain [49]: 1*s(98)+0 with precondition: [0>=B] * Chain [48]: 1 with precondition: [B>=1] * Chain [47]: 2*s(101)+2*s(103)+2*s(104)+16*s(105)+1 Such that:s(99) =< 1 s(100) =< B s(101) =< s(99) s(102) =< s(100) s(103) =< s(100) s(102) =< s(99)+s(103) s(104) =< s(103)*s(102) with precondition: [B>=2] * Chain [46]: 6*s(108)+4*s(110)+4*s(111)+1 Such that:s(106) =< 1 s(107) =< B s(108) =< s(107) s(109) =< s(107) s(109) =< s(106)+s(108) s(110) =< s(108)*s(109) with precondition: [B>=3] * Chain [45]...: 1*s(112)+0 with precondition: [B=1] * Chain [44]...: 1*s(113)+0 with precondition: [0>=B] * Chain [43]...: 1*s(114)+0 with precondition: [B>=2] Closed-form bounds of evalfstart(A,B,C,D,F): ------------------------------------- * Chain [51] with precondition: [] - Upper bound: 0 - Complexity: constant * Chain [50] with precondition: [B=1] - Upper bound: inf - Complexity: infinity * Chain [49] with precondition: [0>=B] - Upper bound: inf - Complexity: infinity * Chain [48] with precondition: [B>=1] - Upper bound: 1 - Complexity: constant * Chain [47] with precondition: [B>=2] - Upper bound: inf - Complexity: infinity * Chain [46] with precondition: [B>=3] - Upper bound: inf - Complexity: infinity * Chain [45]... with precondition: [B=1] - Upper bound: inf - Complexity: infinity * Chain [44]... with precondition: [0>=B] - Upper bound: inf - Complexity: infinity * Chain [43]... with precondition: [B>=2] - Upper bound: inf - Complexity: infinity ### Maximum cost of evalfstart(A,B,C,D,F): inf Asymptotic class: infinity * Total analysis performed in 568 ms.