0.03/0.11 MAYBE 0.03/0.11 0.03/0.11 Preprocessing Cost Relations 0.03/0.11 ===================================== 0.03/0.11 0.03/0.11 #### Computed strongly connected components 0.03/0.11 0. recursive : [f2/5] 0.03/0.11 1. non_recursive : [exit_location/1] 0.03/0.11 2. non_recursive : [f300/3] 0.03/0.11 3. non_recursive : [f2_loop_cont/4] 0.03/0.11 4. non_recursive : [f3/3] 0.03/0.11 0.03/0.11 #### Obtained direct recursion through partial evaluation 0.03/0.11 0. SCC is partially evaluated into f2/5 0.03/0.11 1. SCC is completely evaluated into other SCCs 0.03/0.11 2. SCC is completely evaluated into other SCCs 0.03/0.11 3. SCC is partially evaluated into f2_loop_cont/4 0.03/0.11 4. SCC is partially evaluated into f3/3 0.03/0.11 0.03/0.11 Control-Flow Refinement of Cost Relations 0.03/0.11 ===================================== 0.03/0.11 0.03/0.11 ### Specialization of cost equations f2/5 0.03/0.11 * CE 5 is refined into CE [8] 0.03/0.11 * CE 4 is refined into CE [9] 0.03/0.11 * CE 3 is refined into CE [10] 0.03/0.11 * CE 2 is refined into CE [11] 0.03/0.11 0.03/0.11 0.03/0.11 ### Cost equations --> "Loop" of f2/5 0.03/0.11 * CEs [10] --> Loop 8 0.03/0.11 * CEs [11] --> Loop 9 0.03/0.11 * CEs [8] --> Loop 10 0.03/0.11 * CEs [9] --> Loop 11 0.03/0.11 0.03/0.11 ### Ranking functions of CR f2(A,B,D,E,F) 0.03/0.11 0.03/0.11 #### Partial ranking functions of CR f2(A,B,D,E,F) 0.03/0.11 0.03/0.11 0.03/0.11 ### Specialization of cost equations f2_loop_cont/4 0.03/0.11 * CE 7 is refined into CE [12] 0.03/0.11 * CE 6 is refined into CE [13] 0.03/0.11 0.03/0.11 0.03/0.11 ### Cost equations --> "Loop" of f2_loop_cont/4 0.03/0.11 * CEs [12] --> Loop 12 0.03/0.11 * CEs [13] --> Loop 13 0.03/0.11 0.03/0.11 ### Ranking functions of CR f2_loop_cont(A,B,C,D) 0.03/0.11 0.03/0.11 #### Partial ranking functions of CR f2_loop_cont(A,B,C,D) 0.03/0.11 0.03/0.11 0.03/0.11 ### Specialization of cost equations f3/3 0.03/0.11 * CE 1 is refined into CE [14,15,16,17,18] 0.03/0.11 0.03/0.11 0.03/0.11 ### Cost equations --> "Loop" of f3/3 0.03/0.11 * CEs [17,18] --> Loop 14 0.03/0.11 * CEs [14] --> Loop 15 0.03/0.11 * CEs [15,16] --> Loop 16 0.03/0.11 0.03/0.11 ### Ranking functions of CR f3(A,B,D) 0.03/0.11 0.03/0.11 #### Partial ranking functions of CR f3(A,B,D) 0.03/0.11 0.03/0.11 0.03/0.11 Computing Bounds 0.03/0.11 ===================================== 0.03/0.11 0.03/0.11 #### Cost of chains of f2(A,B,D,E,F): 0.03/0.12 * Chain [[8,9]]...: 2*it(8)+0 0.03/0.12 with precondition: [] 0.03/0.12 0.03/0.12 * Chain [[8,9],11]: 2*it(8)+0 0.03/0.12 with precondition: [D=2,E=0] 0.03/0.12 0.03/0.12 * Chain [[8,9],10]: 2*it(8)+0 0.03/0.12 with precondition: [D=3] 0.03/0.12 0.03/0.12 * Chain [11]: 0 0.03/0.12 with precondition: [A=0,D=2,E=0] 0.03/0.12 0.03/0.12 * Chain [10]: 0 0.03/0.12 with precondition: [D=3] 0.03/0.12 0.03/0.12 0.03/0.12 #### Cost of chains of f2_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 f3(A,B,D): 0.03/0.12 * Chain [16]: 1*aux(2)+0 0.03/0.12 with precondition: [] 0.03/0.12 0.03/0.12 * Chain [15]: 0 0.03/0.12 with precondition: [A=0] 0.03/0.12 0.03/0.12 * Chain [14]...: 1*aux(3)+0 0.03/0.12 with precondition: [] 0.03/0.12 0.03/0.12 0.03/0.12 Closed-form bounds of f3(A,B,D): 0.03/0.12 ------------------------------------- 0.03/0.12 * Chain [16] with precondition: [] 0.03/0.12 - Upper bound: inf 0.03/0.12 - Complexity: infinity 0.03/0.12 * Chain [15] with precondition: [A=0] 0.03/0.12 - Upper bound: 0 0.03/0.12 - Complexity: constant 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 f3(A,B,D): inf 0.03/0.12 Asymptotic class: infinity 0.03/0.12 * Total analysis performed in 60 ms. 0.03/0.12 0.03/0.22 EOF