0.03/0.17 WORST_CASE(?,O(1)) 0.03/0.17 0.03/0.17 Preprocessing Cost Relations 0.03/0.17 ===================================== 0.03/0.17 0.03/0.17 #### Computed strongly connected components 0.03/0.17 0. recursive : [f8/9] 0.03/0.17 1. non_recursive : [exit_location/1] 0.03/0.17 2. non_recursive : [f23/5] 0.03/0.17 3. non_recursive : [f8_loop_cont/6] 0.03/0.17 4. non_recursive : [f0/5] 0.03/0.17 0.03/0.17 #### Obtained direct recursion through partial evaluation 0.03/0.17 0. SCC is partially evaluated into f8/9 0.03/0.17 1. SCC is completely evaluated into other SCCs 0.03/0.17 2. SCC is completely evaluated into other SCCs 0.03/0.17 3. SCC is partially evaluated into f8_loop_cont/6 0.03/0.17 4. SCC is partially evaluated into f0/5 0.03/0.17 0.03/0.17 Control-Flow Refinement of Cost Relations 0.03/0.17 ===================================== 0.03/0.17 0.03/0.17 ### Specialization of cost equations f8/9 0.03/0.17 * CE 5 is refined into CE [8] 0.03/0.17 * CE 4 is refined into CE [9] 0.03/0.17 * CE 2 is refined into CE [10] 0.03/0.17 * CE 3 is refined into CE [11] 0.03/0.17 0.03/0.17 0.03/0.17 ### Cost equations --> "Loop" of f8/9 0.03/0.17 * CEs [10] --> Loop 8 0.03/0.17 * CEs [11] --> Loop 9 0.03/0.17 * CEs [8] --> Loop 10 0.03/0.17 * CEs [9] --> Loop 11 0.03/0.17 0.03/0.17 ### Ranking functions of CR f8(A,B,C,D,F,G,H,I,J) 0.03/0.17 * RF of phase [8,9]: [-A+4] 0.03/0.17 0.03/0.17 #### Partial ranking functions of CR f8(A,B,C,D,F,G,H,I,J) 0.03/0.17 * Partial RF of phase [8,9]: 0.03/0.17 - RF of loop [8:1,9:1]: 0.03/0.17 -A+4 0.03/0.17 0.03/0.17 0.03/0.17 ### Specialization of cost equations f8_loop_cont/6 0.03/0.17 * CE 7 is refined into CE [12] 0.03/0.17 * CE 6 is refined into CE [13] 0.03/0.17 0.03/0.17 0.03/0.17 ### Cost equations --> "Loop" of f8_loop_cont/6 0.03/0.17 * CEs [12] --> Loop 12 0.03/0.17 * CEs [13] --> Loop 13 0.03/0.17 0.03/0.17 ### Ranking functions of CR f8_loop_cont(A,B,C,D,E,F) 0.03/0.17 0.03/0.17 #### Partial ranking functions of CR f8_loop_cont(A,B,C,D,E,F) 0.03/0.17 0.03/0.17 0.03/0.17 ### Specialization of cost equations f0/5 0.03/0.17 * CE 1 is refined into CE [14,15,16] 0.03/0.17 0.03/0.17 0.03/0.17 ### Cost equations --> "Loop" of f0/5 0.03/0.17 * CEs [14,15,16] --> Loop 14 0.03/0.17 0.03/0.17 ### Ranking functions of CR f0(A,B,C,D,F) 0.03/0.17 0.03/0.17 #### Partial ranking functions of CR f0(A,B,C,D,F) 0.03/0.17 0.03/0.17 0.03/0.17 Computing Bounds 0.03/0.17 ===================================== 0.03/0.17 0.03/0.17 #### Cost of chains of f8(A,B,C,D,F,G,H,I,J): 0.03/0.17 * Chain [[8,9],11]: 2*it(8)+0 0.03/0.17 Such that:aux(3) =< -A+4 0.03/0.17 it(8) =< aux(3) 0.03/0.17 0.03/0.17 with precondition: [F=2,G=4,3>=A,A>=0] 0.03/0.17 0.03/0.17 * Chain [[8,9],10]: 2*it(8)+0 0.03/0.17 Such that:aux(4) =< -A+4 0.03/0.17 it(8) =< aux(4) 0.03/0.17 0.03/0.17 with precondition: [F=3,3>=A,A>=0] 0.03/0.17 0.03/0.17 * Chain [10]: 0 0.03/0.17 with precondition: [F=3,A>=0] 0.03/0.17 0.03/0.17 0.03/0.17 #### Cost of chains of f8_loop_cont(A,B,C,D,E,F): 0.03/0.17 * Chain [13]: 0 0.03/0.17 with precondition: [A=2] 0.03/0.17 0.03/0.17 * Chain [12]: 0 0.03/0.17 with precondition: [A=3] 0.03/0.17 0.03/0.17 0.03/0.17 #### Cost of chains of f0(A,B,C,D,F): 0.03/0.17 * Chain [14]: 16 0.03/0.17 with precondition: [] 0.03/0.17 0.03/0.17 0.03/0.17 Closed-form bounds of f0(A,B,C,D,F): 0.03/0.17 ------------------------------------- 0.03/0.17 * Chain [14] with precondition: [] 0.03/0.17 - Upper bound: 16 0.03/0.17 - Complexity: constant 0.03/0.17 0.03/0.17 ### Maximum cost of f0(A,B,C,D,F): 16 0.03/0.17 Asymptotic class: constant 0.03/0.17 * Total analysis performed in 108 ms. 0.03/0.17 0.03/0.27 EOF