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 : [f0/7] 0.03/0.13 1. non_recursive : [exit_location/1] 0.03/0.13 2. non_recursive : [f4/5] 0.03/0.13 3. non_recursive : [f0_loop_cont/6] 0.03/0.13 4. non_recursive : [f3/5] 0.03/0.13 0.03/0.13 #### Obtained direct recursion through partial evaluation 0.03/0.13 0. SCC is partially evaluated into f0/7 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 f0_loop_cont/6 0.03/0.13 4. SCC is partially evaluated into f3/5 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 f0/7 0.03/0.13 * CE 4 is refined into CE [7] 0.03/0.13 * CE 2 is refined into CE [8] 0.03/0.13 * CE 3 is refined into CE [9] 0.03/0.13 0.03/0.13 0.03/0.13 ### Cost equations --> "Loop" of f0/7 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 f0(A,B,C,F,G,H,I) 0.03/0.13 * RF of phase [7]: [-A+10] 0.03/0.13 0.03/0.13 #### Partial ranking functions of CR f0(A,B,C,F,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 -A+10 0.03/0.13 0.03/0.13 0.03/0.13 ### Specialization of cost equations f0_loop_cont/6 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 f0_loop_cont/6 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 f0_loop_cont(A,B,C,D,E,F) 0.03/0.13 0.03/0.13 #### Partial ranking functions of CR f0_loop_cont(A,B,C,D,E,F) 0.03/0.13 0.03/0.13 0.03/0.13 ### Specialization of cost equations f3/5 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 f3/5 0.03/0.13 * CEs [12,13,14] --> Loop 12 0.03/0.13 0.03/0.13 ### Ranking functions of CR f3(A,B,C,D,F) 0.03/0.13 0.03/0.13 #### Partial ranking functions of CR f3(A,B,C,D,F) 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 f0(A,B,C,F,G,H,I): 0.03/0.13 * Chain [[7],9]: 1*it(7)+0 0.03/0.13 Such that:it(7) =< -A+10 0.03/0.13 0.03/0.13 with precondition: [F=2,G=10,I=9,9>=A,A>=0] 0.03/0.13 0.03/0.13 * Chain [[7],8]: 1*it(7)+0 0.03/0.13 Such that:it(7) =< -A+10 0.03/0.13 0.03/0.13 with precondition: [F=3,9>=A,A>=0] 0.03/0.13 0.03/0.13 * Chain [8]: 0 0.03/0.13 with precondition: [F=3,A>=0] 0.03/0.13 0.03/0.13 0.03/0.13 #### Cost of chains of f0_loop_cont(A,B,C,D,E,F): 0.03/0.13 * Chain [11]: 0 0.03/0.13 with precondition: [A=2] 0.03/0.13 0.03/0.13 * Chain [10]: 0 0.03/0.13 with precondition: [A=3] 0.03/0.13 0.03/0.13 0.03/0.13 #### Cost of chains of f3(A,B,C,D,F): 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 f3(A,B,C,D,F): 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 f3(A,B,C,D,F): 20 0.03/0.13 Asymptotic class: constant 0.03/0.13 * Total analysis performed in 69 ms. 0.03/0.13 0.03/0.23 EOF