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 : [f1/5] 0.03/0.11 1. non_recursive : [exit_location/1] 0.03/0.11 2. non_recursive : [f30/3] 0.03/0.11 3. non_recursive : [f1_loop_cont/4] 0.03/0.11 4. non_recursive : [f20/3] 0.03/0.11 0.03/0.11 #### Obtained direct recursion through partial evaluation 0.03/0.11 0. SCC is partially evaluated into f1/5 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 f1_loop_cont/4 0.03/0.11 4. SCC is partially evaluated into f20/3 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 f1/5 0.03/0.11 * CE 4 is refined into CE [7] 0.03/0.11 * CE 3 is discarded (unfeasible) 0.03/0.11 * CE 2 is refined into CE [8] 0.03/0.11 0.03/0.11 0.03/0.11 ### Cost equations --> "Loop" of f1/5 0.03/0.11 * CEs [8] --> Loop 7 0.03/0.11 * CEs [7] --> Loop 8 0.03/0.11 0.03/0.11 ### Ranking functions of CR f1(A,B,C,D,E) 0.03/0.11 0.03/0.11 #### Partial ranking functions of CR f1(A,B,C,D,E) 0.03/0.11 0.03/0.11 0.03/0.11 ### Specialization of cost equations f1_loop_cont/4 0.03/0.11 * CE 6 is refined into CE [9] 0.03/0.11 * CE 5 is refined into CE [10] 0.03/0.11 0.03/0.11 0.03/0.11 ### Cost equations --> "Loop" of f1_loop_cont/4 0.03/0.11 * CEs [9] --> Loop 9 0.03/0.11 * CEs [10] --> Loop 10 0.03/0.11 0.03/0.11 ### Ranking functions of CR f1_loop_cont(A,B,C,D) 0.03/0.11 0.03/0.11 #### Partial ranking functions of CR f1_loop_cont(A,B,C,D) 0.03/0.11 0.03/0.11 0.03/0.11 ### Specialization of cost equations f20/3 0.03/0.11 * CE 1 is refined into CE [11,12,13,14] 0.03/0.11 0.03/0.11 0.03/0.11 ### Cost equations --> "Loop" of f20/3 0.03/0.11 * CEs [13,14] --> Loop 11 0.03/0.11 * CEs [11,12] --> Loop 12 0.03/0.11 0.03/0.11 ### Ranking functions of CR f20(A,B,C) 0.03/0.11 0.03/0.11 #### Partial ranking functions of CR f20(A,B,C) 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 f1(A,B,C,D,E): 0.03/0.11 * Chain [[7]]...: 1*it(7)+0 0.03/0.11 with precondition: [A=B,A>=0] 0.03/0.11 0.03/0.11 * Chain [[7],8]: 1*it(7)+0 0.03/0.11 with precondition: [C=3,A=B,A>=0] 0.03/0.11 0.03/0.11 * Chain [8]: 0 0.03/0.11 with precondition: [C=3,B=A,B>=0] 0.03/0.11 0.03/0.11 0.03/0.11 #### Cost of chains of f1_loop_cont(A,B,C,D): 0.03/0.11 * Chain [10]: 0 0.03/0.11 with precondition: [A=2] 0.03/0.11 0.03/0.11 * Chain [9]: 0 0.03/0.11 with precondition: [A=3] 0.03/0.11 0.03/0.11 0.03/0.11 #### Cost of chains of f20(A,B,C): 0.03/0.11 * Chain [12]: 1*aux(1)+0 0.03/0.11 with precondition: [] 0.03/0.11 0.03/0.11 * Chain [11]...: 1*aux(2)+0 0.03/0.11 with precondition: [] 0.03/0.11 0.03/0.11 0.03/0.11 Closed-form bounds of f20(A,B,C): 0.03/0.11 ------------------------------------- 0.03/0.11 * Chain [12] with precondition: [] 0.03/0.11 - Upper bound: inf 0.03/0.11 - Complexity: infinity 0.03/0.11 * Chain [11]... with precondition: [] 0.03/0.11 - Upper bound: inf 0.03/0.11 - Complexity: infinity 0.03/0.11 0.03/0.11 ### Maximum cost of f20(A,B,C): inf 0.03/0.11 Asymptotic class: infinity 0.03/0.11 * Total analysis performed in 51 ms. 0.03/0.11 0.03/0.21 EOF