0.03/0.19 MAYBE 0.03/0.19 0.03/0.19 Preprocessing Cost Relations 0.03/0.19 ===================================== 0.03/0.19 0.03/0.19 #### Computed strongly connected components 0.03/0.19 0. recursive : [f1/11] 0.03/0.19 1. non_recursive : [exit_location/1] 0.03/0.19 2. non_recursive : [f300/9] 0.03/0.19 3. non_recursive : [f1_loop_cont/10] 0.03/0.19 4. non_recursive : [f2/9] 0.03/0.19 0.03/0.19 #### Obtained direct recursion through partial evaluation 0.03/0.19 0. SCC is partially evaluated into f1/11 0.03/0.19 1. SCC is completely evaluated into other SCCs 0.03/0.19 2. SCC is completely evaluated into other SCCs 0.03/0.19 3. SCC is partially evaluated into f1_loop_cont/10 0.03/0.19 4. SCC is partially evaluated into f2/9 0.03/0.19 0.03/0.19 Control-Flow Refinement of Cost Relations 0.03/0.19 ===================================== 0.03/0.19 0.03/0.19 ### Specialization of cost equations f1/11 0.03/0.19 * CE 5 is refined into CE [8] 0.03/0.19 * CE 4 is refined into CE [9] 0.03/0.19 * CE 2 is refined into CE [10] 0.03/0.19 * CE 3 is refined into CE [11] 0.03/0.19 0.03/0.19 0.03/0.19 ### Cost equations --> "Loop" of f1/11 0.03/0.19 * CEs [10] --> Loop 8 0.03/0.19 * CEs [11] --> Loop 9 0.03/0.19 * CEs [8] --> Loop 10 0.03/0.19 * CEs [9] --> Loop 11 0.03/0.19 0.03/0.19 ### Ranking functions of CR f1(A,B,C,D,E,F,L,M,N,O,P) 0.03/0.19 0.03/0.19 #### Partial ranking functions of CR f1(A,B,C,D,E,F,L,M,N,O,P) 0.03/0.19 0.03/0.19 0.03/0.19 ### Specialization of cost equations f1_loop_cont/10 0.03/0.19 * CE 7 is refined into CE [12] 0.03/0.19 * CE 6 is refined into CE [13] 0.03/0.19 0.03/0.19 0.03/0.19 ### Cost equations --> "Loop" of f1_loop_cont/10 0.03/0.19 * CEs [12] --> Loop 12 0.03/0.19 * CEs [13] --> Loop 13 0.03/0.19 0.03/0.19 ### Ranking functions of CR f1_loop_cont(A,B,C,D,E,F,G,H,I,J) 0.03/0.19 0.03/0.19 #### Partial ranking functions of CR f1_loop_cont(A,B,C,D,E,F,G,H,I,J) 0.03/0.20 0.03/0.20 0.03/0.20 ### Specialization of cost equations f2/9 0.03/0.20 * CE 1 is refined into CE [14,15,16,17,18,19,20,21] 0.03/0.20 0.03/0.20 0.03/0.20 ### Cost equations --> "Loop" of f2/9 0.03/0.20 * CEs [20,21] --> Loop 14 0.03/0.20 * CEs [18,19] --> Loop 15 0.03/0.20 * CEs [17] --> Loop 16 0.03/0.20 * CEs [16] --> Loop 17 0.03/0.20 * CEs [14] --> Loop 18 0.03/0.20 * CEs [15] --> Loop 19 0.03/0.20 0.03/0.20 ### Ranking functions of CR f2(A,B,C,D,E,F,G,H,L) 0.03/0.20 0.03/0.20 #### Partial ranking functions of CR f2(A,B,C,D,E,F,G,H,L) 0.03/0.20 0.03/0.20 0.03/0.20 Computing Bounds 0.03/0.20 ===================================== 0.03/0.20 0.03/0.20 #### Cost of chains of f1(A,B,C,D,E,F,L,M,N,O,P): 0.03/0.20 * Chain [[9]]...: 1*it(9)+0 0.03/0.20 with precondition: [B>=A+1] 0.03/0.20 0.03/0.20 * Chain [[9],10]: 1*it(9)+0 0.03/0.20 with precondition: [L=3,B>=A+1] 0.03/0.20 0.03/0.20 * Chain [[8]]...: 1*it(8)+0 0.03/0.20 with precondition: [A>=B+1] 0.03/0.20 0.03/0.20 * Chain [[8],10]: 1*it(8)+0 0.03/0.20 with precondition: [L=3,A>=B+1] 0.03/0.20 0.03/0.20 * Chain [11]: 0 0.03/0.20 with precondition: [L=2,B=A,O=E] 0.03/0.20 0.03/0.20 * Chain [10]: 0 0.03/0.20 with precondition: [L=3] 0.03/0.20 0.03/0.20 0.03/0.20 #### Cost of chains of f1_loop_cont(A,B,C,D,E,F,G,H,I,J): 0.03/0.20 * Chain [13]: 0 0.03/0.20 with precondition: [A=2,C=B] 0.03/0.20 0.03/0.20 * Chain [12]: 0 0.03/0.20 with precondition: [A=3,C=B] 0.03/0.20 0.03/0.20 0.03/0.20 #### Cost of chains of f2(A,B,C,D,E,F,G,H,L): 0.03/0.20 * Chain [19]: 0 0.03/0.20 with precondition: [] 0.03/0.20 0.03/0.20 * Chain [18]: 0 0.03/0.20 with precondition: [B=A] 0.03/0.20 0.03/0.20 * Chain [17]: 1*s(1)+0 0.03/0.20 with precondition: [B>=A+1] 0.03/0.20 0.03/0.20 * Chain [16]: 1*s(2)+0 0.03/0.20 with precondition: [A>=B+1] 0.03/0.20 0.03/0.20 * Chain [15]...: 1*aux(1)+0 0.03/0.20 with precondition: [B>=A+1] 0.03/0.20 0.03/0.20 * Chain [14]...: 1*aux(2)+0 0.03/0.20 with precondition: [A>=B+1] 0.03/0.20 0.03/0.20 0.03/0.20 Closed-form bounds of f2(A,B,C,D,E,F,G,H,L): 0.03/0.20 ------------------------------------- 0.03/0.20 * Chain [19] with precondition: [] 0.03/0.20 - Upper bound: 0 0.03/0.20 - Complexity: constant 0.03/0.20 * Chain [18] with precondition: [B=A] 0.03/0.20 - Upper bound: 0 0.03/0.20 - Complexity: constant 0.03/0.20 * Chain [17] with precondition: [B>=A+1] 0.03/0.20 - Upper bound: inf 0.03/0.20 - Complexity: infinity 0.03/0.20 * Chain [16] with precondition: [A>=B+1] 0.03/0.20 - Upper bound: inf 0.03/0.20 - Complexity: infinity 0.03/0.20 * Chain [15]... with precondition: [B>=A+1] 0.03/0.20 - Upper bound: inf 0.03/0.20 - Complexity: infinity 0.03/0.20 * Chain [14]... with precondition: [A>=B+1] 0.03/0.20 - Upper bound: inf 0.03/0.20 - Complexity: infinity 0.03/0.20 0.03/0.20 ### Maximum cost of f2(A,B,C,D,E,F,G,H,L): inf 0.03/0.20 Asymptotic class: infinity 0.03/0.20 * Total analysis performed in 134 ms. 0.03/0.20 0.03/0.30 EOF