0.03/0.12 MAYBE 0.03/0.12 0.03/0.12 Preprocessing Cost Relations 0.03/0.12 ===================================== 0.03/0.12 0.03/0.12 #### Computed strongly connected components 0.03/0.12 0. recursive : [f4/5] 0.03/0.12 1. non_recursive : [exit_location/1] 0.03/0.12 2. non_recursive : [f11/3] 0.03/0.12 3. non_recursive : [f4_loop_cont/4] 0.03/0.12 4. non_recursive : [f0/3] 0.03/0.12 0.03/0.12 #### Obtained direct recursion through partial evaluation 0.03/0.12 0. SCC is partially evaluated into f4/5 0.03/0.12 1. SCC is completely evaluated into other SCCs 0.03/0.12 2. SCC is completely evaluated into other SCCs 0.03/0.12 3. SCC is partially evaluated into f4_loop_cont/4 0.03/0.12 4. SCC is partially evaluated into f0/3 0.03/0.12 0.03/0.12 Control-Flow Refinement of Cost Relations 0.03/0.12 ===================================== 0.03/0.12 0.03/0.12 ### Specialization of cost equations f4/5 0.03/0.12 * CE 5 is refined into CE [8] 0.03/0.12 * CE 4 is refined into CE [9] 0.03/0.12 * CE 2 is refined into CE [10] 0.03/0.12 * CE 3 is refined into CE [11] 0.03/0.12 0.03/0.12 0.03/0.12 ### Cost equations --> "Loop" of f4/5 0.03/0.12 * CEs [10] --> Loop 8 0.03/0.12 * CEs [11] --> Loop 9 0.03/0.12 * CEs [8] --> Loop 10 0.03/0.12 * CEs [9] --> Loop 11 0.03/0.12 0.03/0.12 ### Ranking functions of CR f4(A,B,F,G,H) 0.03/0.12 0.03/0.12 #### Partial ranking functions of CR f4(A,B,F,G,H) 0.03/0.12 0.03/0.12 0.03/0.12 ### Specialization of cost equations f4_loop_cont/4 0.03/0.12 * CE 7 is refined into CE [12] 0.03/0.12 * CE 6 is refined into CE [13] 0.03/0.12 0.03/0.12 0.03/0.12 ### Cost equations --> "Loop" of f4_loop_cont/4 0.03/0.12 * CEs [12] --> Loop 12 0.03/0.12 * CEs [13] --> Loop 13 0.03/0.12 0.03/0.12 ### Ranking functions of CR f4_loop_cont(A,B,C,D) 0.03/0.12 0.03/0.12 #### Partial ranking functions of CR f4_loop_cont(A,B,C,D) 0.03/0.12 0.03/0.12 0.03/0.12 ### Specialization of cost equations f0/3 0.03/0.12 * CE 1 is refined into CE [14,15,16,17,18] 0.03/0.12 0.03/0.12 0.03/0.12 ### Cost equations --> "Loop" of f0/3 0.03/0.12 * CEs [17,18] --> Loop 14 0.03/0.12 * CEs [14,15,16] --> Loop 15 0.03/0.12 0.03/0.12 ### Ranking functions of CR f0(A,B,F) 0.03/0.12 0.03/0.12 #### Partial ranking functions of CR f0(A,B,F) 0.03/0.12 0.03/0.12 0.03/0.12 Computing Bounds 0.03/0.12 ===================================== 0.03/0.12 0.03/0.12 #### Cost of chains of f4(A,B,F,G,H): 0.03/0.12 * Chain [[8,9]]...: 2*it(8)+0 0.03/0.12 with precondition: [B>=A+1] 0.03/0.12 0.03/0.12 * Chain [[8,9],11]: 2*it(8)+0 0.03/0.12 with precondition: [F=2,B>=A+1,G>=H] 0.03/0.12 0.03/0.12 * Chain [[8,9],10]: 2*it(8)+0 0.03/0.12 with precondition: [F=3,B>=A+1] 0.03/0.12 0.03/0.12 * Chain [10]: 0 0.03/0.12 with precondition: [F=3] 0.03/0.12 0.03/0.12 0.03/0.12 #### Cost of chains of f4_loop_cont(A,B,C,D): 0.03/0.12 * Chain [13]: 0 0.03/0.12 with precondition: [A=2] 0.03/0.12 0.03/0.12 * Chain [12]: 0 0.03/0.12 with precondition: [A=3] 0.03/0.12 0.03/0.12 0.03/0.12 #### Cost of chains of f0(A,B,F): 0.03/0.12 * Chain [15]: 1*aux(1)+0 0.03/0.12 with precondition: [] 0.03/0.12 0.03/0.12 * Chain [14]...: 1*aux(2)+0 0.03/0.12 with precondition: [] 0.03/0.12 0.03/0.12 0.03/0.12 Closed-form bounds of f0(A,B,F): 0.03/0.12 ------------------------------------- 0.03/0.12 * Chain [15] with precondition: [] 0.03/0.12 - Upper bound: inf 0.03/0.12 - Complexity: infinity 0.03/0.12 * Chain [14]... with precondition: [] 0.03/0.12 - Upper bound: inf 0.03/0.12 - Complexity: infinity 0.03/0.12 0.03/0.12 ### Maximum cost of f0(A,B,F): inf 0.03/0.12 Asymptotic class: infinity 0.03/0.12 * Total analysis performed in 64 ms. 0.03/0.12 0.03/0.22 EOF