0.03/0.15 MAYBE 0.03/0.15 0.03/0.15 Preprocessing Cost Relations 0.03/0.15 ===================================== 0.03/0.15 0.03/0.15 #### Computed strongly connected components 0.03/0.15 0. recursive : [f1/9] 0.03/0.15 1. non_recursive : [exit_location/1] 0.03/0.15 2. non_recursive : [f2/5] 0.03/0.15 3. non_recursive : [f1_loop_cont/6] 0.03/0.15 4. non_recursive : [f3/5] 0.03/0.15 0.03/0.15 #### Obtained direct recursion through partial evaluation 0.03/0.15 0. SCC is partially evaluated into f1/9 0.03/0.15 1. SCC is completely evaluated into other SCCs 0.03/0.15 2. SCC is completely evaluated into other SCCs 0.03/0.15 3. SCC is partially evaluated into f1_loop_cont/6 0.03/0.15 4. SCC is partially evaluated into f3/5 0.03/0.15 0.03/0.15 Control-Flow Refinement of Cost Relations 0.03/0.15 ===================================== 0.03/0.15 0.03/0.15 ### Specialization of cost equations f1/9 0.03/0.15 * CE 5 is refined into CE [8] 0.03/0.15 * CE 2 is refined into CE [9] 0.03/0.15 * CE 3 is refined into CE [10] 0.03/0.15 * CE 4 is refined into CE [11] 0.03/0.15 0.03/0.15 0.03/0.15 ### Cost equations --> "Loop" of f1/9 0.03/0.15 * CEs [11] --> Loop 8 0.03/0.15 * CEs [8] --> Loop 9 0.03/0.15 * CEs [10] --> Loop 10 0.03/0.15 * CEs [9] --> Loop 11 0.03/0.15 0.03/0.15 ### Ranking functions of CR f1(A,B,C,D,F,G,H,I,J) 0.03/0.15 0.03/0.15 #### Partial ranking functions of CR f1(A,B,C,D,F,G,H,I,J) 0.03/0.15 0.03/0.15 0.03/0.15 ### Specialization of cost equations f1_loop_cont/6 0.03/0.15 * CE 7 is refined into CE [12] 0.03/0.15 * CE 6 is refined into CE [13] 0.03/0.15 0.03/0.15 0.03/0.15 ### Cost equations --> "Loop" of f1_loop_cont/6 0.03/0.15 * CEs [12] --> Loop 12 0.03/0.15 * CEs [13] --> Loop 13 0.03/0.15 0.03/0.15 ### Ranking functions of CR f1_loop_cont(A,B,C,D,E,F) 0.03/0.15 0.03/0.15 #### Partial ranking functions of CR f1_loop_cont(A,B,C,D,E,F) 0.03/0.15 0.03/0.15 0.03/0.15 ### Specialization of cost equations f3/5 0.03/0.15 * CE 1 is refined into CE [14,15,16,17,18,19] 0.03/0.15 0.03/0.15 0.03/0.15 ### Cost equations --> "Loop" of f3/5 0.03/0.15 * CEs [18,19] --> Loop 14 0.03/0.15 * CEs [14] --> Loop 15 0.03/0.15 * CEs [17] --> Loop 16 0.03/0.15 * CEs [15] --> Loop 17 0.03/0.15 * CEs [16] --> Loop 18 0.03/0.15 0.03/0.15 ### Ranking functions of CR f3(A,B,C,D,F) 0.03/0.15 0.03/0.15 #### Partial ranking functions of CR f3(A,B,C,D,F) 0.03/0.15 0.03/0.15 0.03/0.15 Computing Bounds 0.03/0.15 ===================================== 0.03/0.15 0.03/0.15 #### Cost of chains of f1(A,B,C,D,F,G,H,I,J): 0.03/0.15 * Chain [[8]]...: 1*it(8)+0 0.03/0.15 with precondition: [A=0,C>=B+2] 0.03/0.15 0.03/0.15 * Chain [[8],9]: 1*it(8)+0 0.03/0.15 with precondition: [A=0,F=3,C>=B+2] 0.03/0.15 0.03/0.15 * Chain [11]: 0 0.03/0.15 with precondition: [A=0,F=2,G=0,B=H,C=I,B>=C] 0.03/0.15 0.03/0.15 * Chain [10]: 0 0.03/0.15 with precondition: [A=0,F=2,G=1,C=B+1,C=H,C=I] 0.03/0.15 0.03/0.15 * Chain [9]: 0 0.03/0.15 with precondition: [A=0,F=3] 0.03/0.15 0.03/0.15 0.03/0.15 #### Cost of chains of f1_loop_cont(A,B,C,D,E,F): 0.03/0.15 * Chain [13]: 0 0.03/0.15 with precondition: [A=2] 0.03/0.15 0.03/0.15 * Chain [12]: 0 0.03/0.15 with precondition: [A=3] 0.03/0.15 0.03/0.15 0.03/0.15 #### Cost of chains of f3(A,B,C,D,F): 0.03/0.15 * Chain [18]: 0 0.03/0.15 with precondition: [] 0.03/0.15 0.03/0.15 * Chain [17]: 0 0.03/0.15 with precondition: [C=B+1] 0.03/0.15 0.03/0.15 * Chain [16]: 1*s(1)+0 0.03/0.15 with precondition: [C>=B+2] 0.03/0.15 0.03/0.15 * Chain [15]: 0 0.03/0.15 with precondition: [B>=C] 0.03/0.15 0.03/0.15 * Chain [14]...: 1*aux(1)+0 0.03/0.15 with precondition: [C>=B+2] 0.03/0.15 0.03/0.15 0.03/0.15 Closed-form bounds of f3(A,B,C,D,F): 0.03/0.15 ------------------------------------- 0.03/0.15 * Chain [18] with precondition: [] 0.03/0.15 - Upper bound: 0 0.03/0.15 - Complexity: constant 0.03/0.15 * Chain [17] with precondition: [C=B+1] 0.03/0.15 - Upper bound: 0 0.03/0.15 - Complexity: constant 0.03/0.15 * Chain [16] with precondition: [C>=B+2] 0.03/0.15 - Upper bound: inf 0.03/0.15 - Complexity: infinity 0.03/0.15 * Chain [15] with precondition: [B>=C] 0.03/0.15 - Upper bound: 0 0.03/0.15 - Complexity: constant 0.03/0.15 * Chain [14]... with precondition: [C>=B+2] 0.03/0.15 - Upper bound: inf 0.03/0.15 - Complexity: infinity 0.03/0.15 0.03/0.15 ### Maximum cost of f3(A,B,C,D,F): inf 0.03/0.15 Asymptotic class: infinity 0.03/0.15 * Total analysis performed in 96 ms. 0.03/0.15 0.03/0.26 EOF