/export/starexec/sandbox/solver/bin/starexec_run_its /export/starexec/sandbox/benchmark/theBenchmark.koat /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE Preprocessing Cost Relations ===================================== #### Computed strongly connected components 0. recursive : [evalEx5bb1in/7,evalEx5bb2in/7,evalEx5bb3in/7] 1. recursive : [evalEx5bb3in_loop_cont/12,evalEx5bb4in/11,evalEx5bb6in/11] 2. non_recursive : [evalEx5stop/6] 3. non_recursive : [evalEx5returnin/6] 4. non_recursive : [exit_location/1] 5. non_recursive : [evalEx5bb6in_loop_cont/7] 6. non_recursive : [evalEx5entryin/6] 7. non_recursive : [evalEx5start/6] #### Obtained direct recursion through partial evaluation 0. SCC is partially evaluated into evalEx5bb3in/7 1. SCC is partially evaluated into evalEx5bb6in/11 2. SCC is completely evaluated into other SCCs 3. SCC is completely evaluated into other SCCs 4. SCC is completely evaluated into other SCCs 5. SCC is partially evaluated into evalEx5bb6in_loop_cont/7 6. SCC is partially evaluated into evalEx5entryin/6 7. SCC is partially evaluated into evalEx5start/6 Control-Flow Refinement of Cost Relations ===================================== ### Specialization of cost equations evalEx5bb3in/7 * CE 14 is refined into CE [15] * CE 13 is refined into CE [16] * CE 11 is refined into CE [17] * CE 12 is refined into CE [18] ### Cost equations --> "Loop" of evalEx5bb3in/7 * CEs [17] --> Loop 15 * CEs [18] --> Loop 16 * CEs [15] --> Loop 17 * CEs [16] --> Loop 18 ### Ranking functions of CR evalEx5bb3in(C,D,E,G,H,I,J) #### Partial ranking functions of CR evalEx5bb3in(C,D,E,G,H,I,J) ### Specialization of cost equations evalEx5bb6in/11 * CE 7 is refined into CE [19] * CE 6 is refined into CE [20,21] * CE 8 is refined into CE [22] * CE 3 is refined into CE [23,24] * CE 4 is refined into CE [25] * CE 5 is refined into CE [26,27,28] ### Cost equations --> "Loop" of evalEx5bb6in/11 * CEs [24] --> Loop 19 * CEs [25] --> Loop 20 * CEs [28] --> Loop 21 * CEs [23] --> Loop 22 * CEs [27] --> Loop 23 * CEs [26] --> Loop 24 * CEs [19] --> Loop 25 * CEs [20] --> Loop 26 * CEs [22] --> Loop 27 * CEs [21] --> Loop 28 ### Ranking functions of CR evalEx5bb6in(A,B,C,D,E,G,H,I,J,K,L) #### Partial ranking functions of CR evalEx5bb6in(A,B,C,D,E,G,H,I,J,K,L) * Partial RF of phase [19,20,21,22,23,24]: - RF of loop [22:1]: B depends on loops [19:1,20:1,21:1] - RF of loop [22:1,23:1,24:1]: -A+B depends on loops [19:1,20:1,21:1] ### Specialization of cost equations evalEx5bb6in_loop_cont/7 * CE 9 is refined into CE [29] * CE 10 is refined into CE [30] ### Cost equations --> "Loop" of evalEx5bb6in_loop_cont/7 * CEs [29] --> Loop 29 * CEs [30] --> Loop 30 ### Ranking functions of CR evalEx5bb6in_loop_cont(A,B,C,D,E,F,G) #### Partial ranking functions of CR evalEx5bb6in_loop_cont(A,B,C,D,E,F,G) ### Specialization of cost equations evalEx5entryin/6 * CE 2 is refined into CE [31,32,33,34,35,36,37] ### Cost equations --> "Loop" of evalEx5entryin/6 * CEs [35,36,37] --> Loop 31 * CEs [32,34] --> Loop 32 * CEs [33] --> Loop 33 * CEs [31] --> Loop 34 ### Ranking functions of CR evalEx5entryin(A,B,C,D,E,G) #### Partial ranking functions of CR evalEx5entryin(A,B,C,D,E,G) ### Specialization of cost equations evalEx5start/6 * CE 1 is refined into CE [38,39,40,41] ### Cost equations --> "Loop" of evalEx5start/6 * CEs [41] --> Loop 35 * CEs [40] --> Loop 36 * CEs [39] --> Loop 37 * CEs [38] --> Loop 38 ### Ranking functions of CR evalEx5start(A,B,C,D,E,G) #### Partial ranking functions of CR evalEx5start(A,B,C,D,E,G) Computing Bounds ===================================== #### Cost of chains of evalEx5bb3in(C,D,E,G,H,I,J): * Chain [[15,16]]...: 2*it(15)+0 with precondition: [1>=C,C>=0,G>=2,3>=G] * Chain [[15,16],18]: 2*it(15)+0 with precondition: [G=2,1>=H,C>=0,H>=C,C+D>=H+I] * Chain [[15,16],17]: 2*it(15)+0 with precondition: [G=3,1>=C,C>=0] * Chain [18]: 0 with precondition: [G=2,I=D,J=E,C=H,1>=C,C>=0] * Chain [17]: 0 with precondition: [G=3,1>=C,C>=0] #### Cost of chains of evalEx5bb6in(A,B,C,D,E,G,H,I,J,K,L): * Chain [[19,20,21,22,23,24]]...: 16*it(19)+0 with precondition: [B>=A+1,A>=0] * Chain [[19,20,21,22,23,24],28]...: 18*it(19)+0 with precondition: [G=3,A>=0,B>=A+1] * Chain [[19,20,21,22,23,24],27]: 16*it(19)+0 with precondition: [G=3,A>=0,B>=A+1] * Chain [[19,20,21,22,23,24],26]: 17*it(19)+0 with precondition: [G=3,A>=0,B>=A+1] * Chain [[19,20,21,22,23,24],25]: 16*it(19)+0 with precondition: [G=4,I=K,A>=0,B>=A+1,H>=A,H>=I] * Chain [28]...: 2*s(17)+0 with precondition: [G=3,A>=0,B>=A+1] * Chain [27]: 0 with precondition: [G=3,A>=0] * Chain [26]: 1*s(18)+0 with precondition: [G=3,A>=0,B>=A+1] * Chain [25]: 0 with precondition: [G=4,J=C,K=D,L=E,A=H,B=I,A>=0,A>=B] #### Cost of chains of evalEx5bb6in_loop_cont(A,B,C,D,E,F,G): * Chain [30]: 0 with precondition: [A=3] * Chain [29]: 0 with precondition: [A=4] #### Cost of chains of evalEx5entryin(A,B,C,D,E,G): * Chain [34]: 0 with precondition: [] * Chain [33]: 0 with precondition: [0>=A] * Chain [32]: 1*aux(44)+0 with precondition: [A>=1] * Chain [31]...: 1*aux(45)+0 with precondition: [A>=1] #### Cost of chains of evalEx5start(A,B,C,D,E,G): * Chain [38]: 0 with precondition: [] * Chain [37]: 0 with precondition: [0>=A] * Chain [36]: 1*s(29)+0 with precondition: [A>=1] * Chain [35]...: 1*s(30)+0 with precondition: [A>=1] Closed-form bounds of evalEx5start(A,B,C,D,E,G): ------------------------------------- * Chain [38] with precondition: [] - Upper bound: 0 - Complexity: constant * Chain [37] with precondition: [0>=A] - Upper bound: 0 - Complexity: constant * Chain [36] with precondition: [A>=1] - Upper bound: inf - Complexity: infinity * Chain [35]... with precondition: [A>=1] - Upper bound: inf - Complexity: infinity ### Maximum cost of evalEx5start(A,B,C,D,E,G): inf Asymptotic class: infinity * Total analysis performed in 637 ms.