0.03/0.13 WORST_CASE(?,O(1)) 0.03/0.13 0.03/0.13 Preprocessing Cost Relations 0.03/0.13 ===================================== 0.03/0.13 0.03/0.13 #### Computed strongly connected components 0.03/0.13 0. recursive : [f7/6] 0.03/0.13 1. non_recursive : [exit_location/1] 0.03/0.13 2. non_recursive : [f19/6] 0.03/0.13 3. non_recursive : [f7_loop_cont/7] 0.03/0.13 4. non_recursive : [f0/6] 0.03/0.13 0.03/0.13 #### Obtained direct recursion through partial evaluation 0.03/0.13 0. SCC is partially evaluated into f7/6 0.03/0.13 1. SCC is completely evaluated into other SCCs 0.03/0.13 2. SCC is completely evaluated into other SCCs 0.03/0.13 3. SCC is partially evaluated into f7_loop_cont/7 0.03/0.13 4. SCC is partially evaluated into f0/6 0.03/0.13 0.03/0.13 Control-Flow Refinement of Cost Relations 0.03/0.13 ===================================== 0.03/0.13 0.03/0.13 ### Specialization of cost equations f7/6 0.03/0.13 * CE 4 is refined into CE [7] 0.03/0.13 * CE 3 is refined into CE [8] 0.03/0.13 * CE 2 is refined into CE [9] 0.03/0.13 0.03/0.13 0.03/0.13 ### Cost equations --> "Loop" of f7/6 0.03/0.13 * CEs [9] --> Loop 7 0.03/0.13 * CEs [7] --> Loop 8 0.03/0.13 * CEs [8] --> Loop 9 0.03/0.13 0.03/0.13 ### Ranking functions of CR f7(C,D,E,G,H,I) 0.03/0.13 * RF of phase [7]: [-D+10] 0.03/0.13 0.03/0.13 #### Partial ranking functions of CR f7(C,D,E,G,H,I) 0.03/0.13 * Partial RF of phase [7]: 0.03/0.13 - RF of loop [7:1]: 0.03/0.13 -D+10 0.03/0.13 0.03/0.13 0.03/0.13 ### Specialization of cost equations f7_loop_cont/7 0.03/0.13 * CE 6 is refined into CE [10] 0.03/0.13 * CE 5 is refined into CE [11] 0.03/0.13 0.03/0.13 0.03/0.13 ### Cost equations --> "Loop" of f7_loop_cont/7 0.03/0.13 * CEs [10] --> Loop 10 0.03/0.13 * CEs [11] --> Loop 11 0.03/0.13 0.03/0.13 ### Ranking functions of CR f7_loop_cont(A,B,C,D,E,F,G) 0.03/0.13 0.03/0.13 #### Partial ranking functions of CR f7_loop_cont(A,B,C,D,E,F,G) 0.03/0.13 0.03/0.13 0.03/0.13 ### Specialization of cost equations f0/6 0.03/0.13 * CE 1 is refined into CE [12,13,14] 0.03/0.13 0.03/0.13 0.03/0.13 ### Cost equations --> "Loop" of f0/6 0.03/0.13 * CEs [12,13,14] --> Loop 12 0.03/0.13 0.03/0.13 ### Ranking functions of CR f0(A,B,C,D,E,G) 0.03/0.13 0.03/0.13 #### Partial ranking functions of CR f0(A,B,C,D,E,G) 0.03/0.13 0.03/0.13 0.03/0.13 Computing Bounds 0.03/0.13 ===================================== 0.03/0.13 0.03/0.13 #### Cost of chains of f7(C,D,E,G,H,I): 0.03/0.13 * Chain [[7],9]: 1*it(7)+0 0.03/0.13 Such that:it(7) =< -D+10 0.03/0.13 0.03/0.13 with precondition: [C=10,G=2,H=10,9>=D,D>=0] 0.03/0.13 0.03/0.13 * Chain [[7],8]: 1*it(7)+0 0.03/0.13 Such that:it(7) =< -D+10 0.03/0.13 0.03/0.13 with precondition: [C=10,G=3,9>=D,D>=0] 0.03/0.13 0.03/0.13 * Chain [8]: 0 0.03/0.13 with precondition: [C=10,G=3,D>=0] 0.03/0.13 0.03/0.13 0.03/0.13 #### Cost of chains of f7_loop_cont(A,B,C,D,E,F,G): 0.03/0.13 * Chain [11]: 0 0.03/0.13 with precondition: [A=2,D=10,C=B] 0.03/0.13 0.03/0.13 * Chain [10]: 0 0.03/0.13 with precondition: [A=3,D=10,C=B] 0.03/0.13 0.03/0.13 0.03/0.13 #### Cost of chains of f0(A,B,C,D,E,G): 0.03/0.13 * Chain [12]: 20 0.03/0.13 with precondition: [] 0.03/0.13 0.03/0.13 0.03/0.13 Closed-form bounds of f0(A,B,C,D,E,G): 0.03/0.13 ------------------------------------- 0.03/0.13 * Chain [12] with precondition: [] 0.03/0.13 - Upper bound: 20 0.03/0.13 - Complexity: constant 0.03/0.13 0.03/0.13 ### Maximum cost of f0(A,B,C,D,E,G): 20 0.03/0.13 Asymptotic class: constant 0.03/0.13 * Total analysis performed in 72 ms. 0.03/0.13 0.03/0.23 EOF