0.03/0.14 WORST_CASE(?,O(1)) 0.03/0.14 0.03/0.15 Preprocessing Cost Relations 0.03/0.15 ===================================== 0.03/0.15 0.03/0.15 #### Computed strongly connected components 0.03/0.15 0. recursive : [f8/6] 0.03/0.15 1. non_recursive : [exit_location/1] 0.03/0.15 2. non_recursive : [f6/4] 0.03/0.15 3. non_recursive : [f8_loop_cont/5] 0.03/0.15 4. non_recursive : [f0/4] 0.03/0.15 0.03/0.15 #### Obtained direct recursion through partial evaluation 0.03/0.15 0. SCC is partially evaluated into f8/6 0.03/0.15 1. SCC is completely evaluated into other SCCs 0.03/0.15 2. SCC is completely evaluated into other SCCs 0.03/0.15 3. SCC is partially evaluated into f8_loop_cont/5 0.03/0.15 4. SCC is partially evaluated into f0/4 0.03/0.15 0.03/0.15 Control-Flow Refinement of Cost Relations 0.03/0.15 ===================================== 0.03/0.15 0.03/0.15 ### Specialization of cost equations f8/6 0.03/0.15 * CE 5 is refined into CE [8] 0.03/0.15 * CE 3 is discarded (unfeasible) 0.03/0.15 * CE 4 is refined into CE [9] 0.03/0.15 * CE 2 is refined into CE [10] 0.03/0.15 0.03/0.15 0.03/0.15 ### Cost equations --> "Loop" of f8/6 0.03/0.15 * CEs [10] --> Loop 8 0.03/0.15 * CEs [8] --> Loop 9 0.03/0.15 * CEs [9] --> Loop 10 0.03/0.15 0.03/0.15 ### Ranking functions of CR f8(A,B,C,D,E,F) 0.03/0.15 * RF of phase [8]: [-A+19,-2*C+19] 0.03/0.15 0.03/0.15 #### Partial ranking functions of CR f8(A,B,C,D,E,F) 0.03/0.15 * Partial RF of phase [8]: 0.03/0.15 - RF of loop [8:1]: 0.03/0.15 -A+19 0.03/0.15 -2*C+19 0.03/0.15 0.03/0.15 0.03/0.15 ### Specialization of cost equations f8_loop_cont/5 0.03/0.15 * CE 7 is refined into CE [11] 0.03/0.15 * CE 6 is refined into CE [12] 0.03/0.15 0.03/0.15 0.03/0.15 ### Cost equations --> "Loop" of f8_loop_cont/5 0.03/0.15 * CEs [11] --> Loop 11 0.03/0.15 * CEs [12] --> Loop 12 0.03/0.15 0.03/0.15 ### Ranking functions of CR f8_loop_cont(A,B,C,D,E) 0.03/0.15 0.03/0.15 #### Partial ranking functions of CR f8_loop_cont(A,B,C,D,E) 0.03/0.15 0.03/0.15 0.03/0.15 ### Specialization of cost equations f0/4 0.03/0.15 * CE 1 is refined into CE [13,14,15] 0.03/0.15 0.03/0.15 0.03/0.15 ### Cost equations --> "Loop" of f0/4 0.03/0.15 * CEs [13,14,15] --> Loop 13 0.03/0.15 0.03/0.15 ### Ranking functions of CR f0(A,B,C,D) 0.03/0.15 0.03/0.15 #### Partial ranking functions of CR f0(A,B,C,D) 0.03/0.15 0.03/0.15 0.03/0.15 Computing Bounds 0.03/0.15 ===================================== 0.03/0.15 0.03/0.15 #### Cost of chains of f8(A,B,C,D,E,F): 0.03/0.15 * Chain [[8],10]: 1*it(8)+0 0.03/0.15 Such that:it(8) =< -A+19 0.03/0.15 0.03/0.15 with precondition: [B=10,D=2,E=20,F=10,2*C=A,9>=C,C>=0] 0.03/0.15 0.03/0.15 * Chain [[8],9]: 1*it(8)+0 0.03/0.15 Such that:it(8) =< -2*C+19 0.03/0.15 0.03/0.15 with precondition: [B=10,D=3,2*C=A,9>=C,C>=0] 0.03/0.15 0.03/0.15 * Chain [9]: 0 0.03/0.15 with precondition: [B=10,D=3,A=2*C,A>=0] 0.03/0.15 0.03/0.15 0.03/0.15 #### Cost of chains of f8_loop_cont(A,B,C,D,E): 0.03/0.15 * Chain [12]: 0 0.03/0.15 with precondition: [A=2,C=10] 0.03/0.15 0.03/0.15 * Chain [11]: 0 0.03/0.15 with precondition: [A=3,C=10] 0.03/0.15 0.03/0.15 0.03/0.15 #### Cost of chains of f0(A,B,C,D): 0.03/0.15 * Chain [13]: 38 0.03/0.15 with precondition: [] 0.03/0.15 0.03/0.15 0.03/0.15 Closed-form bounds of f0(A,B,C,D): 0.03/0.15 ------------------------------------- 0.03/0.15 * Chain [13] with precondition: [] 0.03/0.15 - Upper bound: 38 0.03/0.15 - Complexity: constant 0.03/0.15 0.03/0.15 ### Maximum cost of f0(A,B,C,D): 38 0.03/0.15 Asymptotic class: constant 0.03/0.15 * Total analysis performed in 86 ms. 0.03/0.15 0.03/0.25 EOF