0.02/0.11 WORST_CASE(?,O(1)) 0.02/0.11 0.02/0.11 Preprocessing Cost Relations 0.02/0.11 ===================================== 0.02/0.11 0.02/0.11 #### Computed strongly connected components 0.02/0.11 0. recursive : [f3/5] 0.02/0.11 1. non_recursive : [exit_location/1] 0.02/0.11 2. non_recursive : [f10/3] 0.02/0.11 3. non_recursive : [f3_loop_cont/4] 0.02/0.11 4. non_recursive : [f0/3] 0.02/0.11 0.02/0.11 #### Obtained direct recursion through partial evaluation 0.02/0.11 0. SCC is partially evaluated into f3/5 0.02/0.11 1. SCC is completely evaluated into other SCCs 0.02/0.11 2. SCC is completely evaluated into other SCCs 0.02/0.11 3. SCC is partially evaluated into f3_loop_cont/4 0.02/0.11 4. SCC is partially evaluated into f0/3 0.02/0.11 0.02/0.11 Control-Flow Refinement of Cost Relations 0.02/0.11 ===================================== 0.02/0.11 0.02/0.11 ### Specialization of cost equations f3/5 0.02/0.11 * CE 4 is refined into CE [7] 0.02/0.11 * CE 3 is refined into CE [8] 0.02/0.11 * CE 2 is refined into CE [9] 0.02/0.11 0.02/0.11 0.02/0.11 ### Cost equations --> "Loop" of f3/5 0.02/0.11 * CEs [9] --> Loop 7 0.02/0.11 * CEs [7] --> Loop 8 0.02/0.11 * CEs [8] --> Loop 9 0.02/0.11 0.02/0.11 ### Ranking functions of CR f3(A,B,C,D,E) 0.02/0.11 * RF of phase [7]: [-A+11] 0.02/0.11 0.02/0.11 #### Partial ranking functions of CR f3(A,B,C,D,E) 0.02/0.11 * Partial RF of phase [7]: 0.02/0.11 - RF of loop [7:1]: 0.02/0.11 -A+11 0.02/0.11 0.02/0.11 0.02/0.11 ### Specialization of cost equations f3_loop_cont/4 0.02/0.11 * CE 6 is refined into CE [10] 0.02/0.11 * CE 5 is refined into CE [11] 0.02/0.11 0.02/0.11 0.02/0.11 ### Cost equations --> "Loop" of f3_loop_cont/4 0.02/0.11 * CEs [10] --> Loop 10 0.02/0.11 * CEs [11] --> Loop 11 0.02/0.11 0.02/0.11 ### Ranking functions of CR f3_loop_cont(A,B,C,D) 0.02/0.11 0.02/0.11 #### Partial ranking functions of CR f3_loop_cont(A,B,C,D) 0.02/0.11 0.02/0.11 0.02/0.11 ### Specialization of cost equations f0/3 0.02/0.11 * CE 1 is refined into CE [12,13,14] 0.02/0.11 0.02/0.11 0.02/0.11 ### Cost equations --> "Loop" of f0/3 0.02/0.11 * CEs [12,13,14] --> Loop 12 0.02/0.11 0.02/0.11 ### Ranking functions of CR f0(A,B,C) 0.02/0.11 0.02/0.11 #### Partial ranking functions of CR f0(A,B,C) 0.02/0.11 0.02/0.11 0.02/0.11 Computing Bounds 0.02/0.11 ===================================== 0.02/0.11 0.02/0.11 #### Cost of chains of f3(A,B,C,D,E): 0.02/0.11 * Chain [[7],9]: 1*it(7)+0 0.02/0.11 Such that:it(7) =< -A+11 0.02/0.11 0.02/0.11 with precondition: [C=2,D=11,E=0,10>=A,A>=1] 0.02/0.11 0.02/0.11 * Chain [[7],8]: 1*it(7)+0 0.02/0.11 Such that:it(7) =< -A+11 0.02/0.11 0.02/0.11 with precondition: [C=3,10>=A,A>=1] 0.02/0.11 0.02/0.11 * Chain [8]: 0 0.02/0.11 with precondition: [C=3,A>=1] 0.02/0.11 0.02/0.11 0.02/0.11 #### Cost of chains of f3_loop_cont(A,B,C,D): 0.02/0.11 * Chain [11]: 0 0.02/0.11 with precondition: [A=2] 0.02/0.11 0.02/0.11 * Chain [10]: 0 0.02/0.11 with precondition: [A=3] 0.02/0.11 0.02/0.11 0.02/0.11 #### Cost of chains of f0(A,B,C): 0.02/0.11 * Chain [12]: 20 0.02/0.11 with precondition: [] 0.02/0.11 0.02/0.11 0.02/0.11 Closed-form bounds of f0(A,B,C): 0.02/0.11 ------------------------------------- 0.02/0.11 * Chain [12] with precondition: [] 0.02/0.11 - Upper bound: 20 0.02/0.11 - Complexity: constant 0.02/0.11 0.02/0.11 ### Maximum cost of f0(A,B,C): 20 0.02/0.11 Asymptotic class: constant 0.02/0.11 * Total analysis performed in 58 ms. 0.02/0.11 0.02/0.22 EOF