0.03/0.14 MAYBE 0.03/0.14 0.03/0.14 Preprocessing Cost Relations 0.03/0.14 ===================================== 0.03/0.14 0.03/0.14 #### Computed strongly connected components 0.03/0.14 0. recursive : [f5/7] 0.03/0.14 1. non_recursive : [exit_location/1] 0.03/0.14 2. non_recursive : [f16/4] 0.03/0.14 3. non_recursive : [f5_loop_cont/5] 0.03/0.14 4. non_recursive : [f0/4] 0.03/0.14 0.03/0.14 #### Obtained direct recursion through partial evaluation 0.03/0.14 0. SCC is partially evaluated into f5/7 0.03/0.14 1. SCC is completely evaluated into other SCCs 0.03/0.14 2. SCC is completely evaluated into other SCCs 0.03/0.14 3. SCC is partially evaluated into f5_loop_cont/5 0.03/0.14 4. SCC is partially evaluated into f0/4 0.03/0.14 0.03/0.14 Control-Flow Refinement of Cost Relations 0.03/0.14 ===================================== 0.03/0.14 0.03/0.14 ### Specialization of cost equations f5/7 0.03/0.14 * CE 4 is refined into CE [7] 0.03/0.14 * CE 3 is refined into CE [8] 0.03/0.14 * CE 2 is refined into CE [9] 0.03/0.14 0.03/0.14 0.03/0.14 ### Cost equations --> "Loop" of f5/7 0.03/0.14 * CEs [9] --> Loop 7 0.03/0.14 * CEs [7] --> Loop 8 0.03/0.14 * CEs [8] --> Loop 9 0.03/0.14 0.03/0.14 ### Ranking functions of CR f5(A,B,C,F,G,H,I) 0.03/0.14 0.03/0.14 #### Partial ranking functions of CR f5(A,B,C,F,G,H,I) 0.03/0.14 0.03/0.14 0.03/0.14 ### Specialization of cost equations f5_loop_cont/5 0.03/0.14 * CE 6 is refined into CE [10] 0.03/0.14 * CE 5 is refined into CE [11] 0.03/0.14 0.03/0.14 0.03/0.14 ### Cost equations --> "Loop" of f5_loop_cont/5 0.03/0.14 * CEs [10] --> Loop 10 0.03/0.14 * CEs [11] --> Loop 11 0.03/0.14 0.03/0.14 ### Ranking functions of CR f5_loop_cont(A,B,C,D,E) 0.03/0.14 0.03/0.14 #### Partial ranking functions of CR f5_loop_cont(A,B,C,D,E) 0.03/0.14 0.03/0.14 0.03/0.14 ### Specialization of cost equations f0/4 0.03/0.14 * CE 1 is refined into CE [12,13,14,15,16,17] 0.03/0.14 0.03/0.14 0.03/0.14 ### Cost equations --> "Loop" of f0/4 0.03/0.14 * CEs [16,17] --> Loop 12 0.03/0.14 * CEs [12,13,14,15] --> Loop 13 0.03/0.14 0.03/0.14 ### Ranking functions of CR f0(A,B,C,F) 0.03/0.14 0.03/0.14 #### Partial ranking functions of CR f0(A,B,C,F) 0.03/0.14 0.03/0.14 0.03/0.14 Computing Bounds 0.03/0.14 ===================================== 0.03/0.14 0.03/0.14 #### Cost of chains of f5(A,B,C,F,G,H,I): 0.03/0.14 * Chain [[7]]...: 1*it(7)+0 0.03/0.14 with precondition: [B>=0,2*A=B] 0.03/0.14 0.03/0.14 * Chain [[7],9]: 1*it(7)+0 0.03/0.14 with precondition: [F=2,B=2*A,2*G=H,B>=0,2*G>=B+2] 0.03/0.14 0.03/0.14 * Chain [[7],8]: 1*it(7)+0 0.03/0.14 with precondition: [F=3,B=2*A,B>=0] 0.03/0.14 0.03/0.14 * Chain [9]: 0 0.03/0.14 with precondition: [F=2,2*A=B,I=C,A=G,2*A=H,A>=0] 0.03/0.14 0.03/0.14 * Chain [8]: 0 0.03/0.14 with precondition: [F=3,2*A=B,A>=0] 0.03/0.14 0.03/0.14 0.03/0.14 #### Cost of chains of f5_loop_cont(A,B,C,D,E): 0.03/0.14 * Chain [11]: 0 0.03/0.14 with precondition: [A=2] 0.03/0.14 0.03/0.14 * Chain [10]: 0 0.03/0.14 with precondition: [A=3] 0.03/0.14 0.03/0.14 0.03/0.14 #### Cost of chains of f0(A,B,C,F): 0.03/0.14 * Chain [13]: 1*aux(1)+0 0.03/0.14 with precondition: [] 0.03/0.14 0.03/0.14 * Chain [12]...: 1*aux(2)+0 0.03/0.14 with precondition: [] 0.03/0.14 0.03/0.14 0.03/0.14 Closed-form bounds of f0(A,B,C,F): 0.03/0.14 ------------------------------------- 0.03/0.14 * Chain [13] with precondition: [] 0.03/0.14 - Upper bound: inf 0.03/0.14 - Complexity: infinity 0.03/0.14 * Chain [12]... with precondition: [] 0.03/0.14 - Upper bound: inf 0.03/0.14 - Complexity: infinity 0.03/0.14 0.03/0.14 ### Maximum cost of f0(A,B,C,F): inf 0.03/0.14 Asymptotic class: infinity 0.03/0.14 * Total analysis performed in 79 ms. 0.03/0.14 0.03/0.24 EOF