/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 : [f6/8] 1. non_recursive : [exit_location/1] 2. non_recursive : [f14/5] 3. non_recursive : [f6_loop_cont/6] 4. non_recursive : [f0/5] #### Obtained direct recursion through partial evaluation 0. SCC is partially evaluated into f6/8 1. SCC is completely evaluated into other SCCs 2. SCC is completely evaluated into other SCCs 3. SCC is partially evaluated into f6_loop_cont/6 4. SCC is partially evaluated into f0/5 Control-Flow Refinement of Cost Relations ===================================== ### Specialization of cost equations f6/8 * CE 7 is refined into CE [10] * CE 5 is refined into CE [11] * CE 4 is refined into CE [12] * CE 6 is refined into CE [13] * CE 3 is refined into CE [14] * CE 2 is refined into CE [15] ### Cost equations --> "Loop" of f6/8 * CEs [14] --> Loop 10 * CEs [15] --> Loop 11 * CEs [10] --> Loop 12 * CEs [11] --> Loop 13 * CEs [12] --> Loop 14 * CEs [13] --> Loop 15 ### Ranking functions of CR f6(A,B,C,D,E,F,G,H) * RF of phase [10]: [A,B+C-D] #### Partial ranking functions of CR f6(A,B,C,D,E,F,G,H) * Partial RF of phase [10]: - RF of loop [10:1]: A B+C-D ### Specialization of cost equations f6_loop_cont/6 * CE 9 is refined into CE [16] * CE 8 is refined into CE [17] ### Cost equations --> "Loop" of f6_loop_cont/6 * CEs [16] --> Loop 16 * CEs [17] --> Loop 17 ### Ranking functions of CR f6_loop_cont(A,B,C,D,E,F) #### Partial ranking functions of CR f6_loop_cont(A,B,C,D,E,F) ### Specialization of cost equations f0/5 * CE 1 is refined into CE [18,19,20,21,22,23,24,25,26,27,28] ### Cost equations --> "Loop" of f0/5 * CEs [27,28] --> Loop 18 * CEs [23] --> Loop 19 * CEs [22] --> Loop 20 * CEs [26] --> Loop 21 * CEs [25] --> Loop 22 * CEs [21] --> Loop 23 * CEs [19] --> Loop 24 * CEs [20] --> Loop 25 * CEs [18] --> Loop 26 * CEs [24] --> Loop 27 ### Ranking functions of CR f0(A,B,C,D,E) #### Partial ranking functions of CR f0(A,B,C,D,E) Computing Bounds ===================================== #### Cost of chains of f6(A,B,C,D,E,F,G,H): * Chain [[11]]...: 1*it(11)+0 with precondition: [0>=A+1,B>=A,A+D=B+C] * Chain [[11],12]: 1*it(11)+0 with precondition: [E=3,A+D=B+C,0>=A+1,B>=A] * Chain [[10],15]: 1*it(10)+0 Such that:it(10) =< A with precondition: [E=2,F=0,G=0,A=C,B=D,B=H,A>=1,B>=A] * Chain [[10],14]: 1*it(10)+0 Such that:it(10) =< A with precondition: [E=2,F=0,A+G=C,A+D=B+C,A+H=B+C,A>=1,B>=A,C>=A+1] * Chain [[10],13]: 1*it(10)+0 Such that:it(10) =< A with precondition: [E=2,F=0,A+G=C,A+D=B+C,A+H=B+C,A>=1,B>=A,A>=C+1] * Chain [[10],12]: 1*it(10)+0 Such that:it(10) =< A with precondition: [E=3,A+D=B+C,A>=1,B>=A] * Chain [15]: 0 with precondition: [A=0,C=0,E=2,F=0,G=0,D=B,D=H,D>=0] * Chain [14]: 0 with precondition: [A=0,E=2,F=0,D=H,D=B+C,D=B+G,B>=0,D>=B+1] * Chain [13]: 0 with precondition: [A=0,E=2,F=0,D=H,D=B+C,D=B+G,B>=0,B>=D+1] * Chain [12]: 0 with precondition: [E=3,B+C=A+D,B>=A] #### Cost of chains of f6_loop_cont(A,B,C,D,E,F): * Chain [17]: 0 with precondition: [A=2] * Chain [16]: 0 with precondition: [A=3] #### Cost of chains of f0(A,B,C,D,E): * Chain [27]: 0 with precondition: [] * Chain [26]: 0 with precondition: [B=0,D=0] * Chain [25]: 0 with precondition: [B=0,0>=D+1] * Chain [24]: 0 with precondition: [B=0,D>=1] * Chain [23]: 1*s(1)+0 Such that:s(1) =< B with precondition: [B=D,B>=1] * Chain [22]: 1*s(2)+0 with precondition: [0>=B+1] * Chain [21]: 1*s(3)+0 Such that:s(3) =< B with precondition: [B>=1] * Chain [20]: 1*s(4)+0 Such that:s(4) =< B with precondition: [B>=1,D>=B+1] * Chain [19]: 1*s(5)+0 Such that:s(5) =< B with precondition: [B>=1,B>=D+1] * Chain [18]...: 1*aux(1)+0 with precondition: [0>=B+1] Closed-form bounds of f0(A,B,C,D,E): ------------------------------------- * Chain [27] with precondition: [] - Upper bound: 0 - Complexity: constant * Chain [26] with precondition: [B=0,D=0] - Upper bound: 0 - Complexity: constant * Chain [25] with precondition: [B=0,0>=D+1] - Upper bound: 0 - Complexity: constant * Chain [24] with precondition: [B=0,D>=1] - Upper bound: 0 - Complexity: constant * Chain [23] with precondition: [B=D,B>=1] - Upper bound: B - Complexity: n * Chain [22] with precondition: [0>=B+1] - Upper bound: inf - Complexity: infinity * Chain [21] with precondition: [B>=1] - Upper bound: B - Complexity: n * Chain [20] with precondition: [B>=1,D>=B+1] - Upper bound: B - Complexity: n * Chain [19] with precondition: [B>=1,B>=D+1] - Upper bound: B - Complexity: n * Chain [18]... with precondition: [0>=B+1] - Upper bound: inf - Complexity: infinity ### Maximum cost of f0(A,B,C,D,E): inf Asymptotic class: infinity * Total analysis performed in 258 ms.