0.03/0.28 WORST_CASE(?,O(1)) 0.03/0.28 0.03/0.28 Preprocessing Cost Relations 0.03/0.28 ===================================== 0.03/0.28 0.03/0.28 #### Computed strongly connected components 0.03/0.28 0. recursive : [f7/7] 0.03/0.28 1. non_recursive : [exit_location/1] 0.03/0.28 2. non_recursive : [f21/6] 0.03/0.28 3. non_recursive : [f7_loop_cont/7] 0.03/0.28 4. non_recursive : [f0/6] 0.03/0.28 0.03/0.28 #### Obtained direct recursion through partial evaluation 0.03/0.28 0. SCC is partially evaluated into f7/7 0.03/0.28 1. SCC is completely evaluated into other SCCs 0.03/0.28 2. SCC is completely evaluated into other SCCs 0.03/0.28 3. SCC is partially evaluated into f7_loop_cont/7 0.03/0.28 4. SCC is partially evaluated into f0/6 0.03/0.28 0.03/0.28 Control-Flow Refinement of Cost Relations 0.03/0.28 ===================================== 0.03/0.28 0.03/0.28 ### Specialization of cost equations f7/7 0.03/0.28 * CE 8 is refined into CE [11] 0.03/0.28 * CE 6 is refined into CE [12] 0.03/0.28 * CE 7 is refined into CE [13] 0.03/0.28 * CE 5 is refined into CE [14] 0.03/0.28 * CE 4 is refined into CE [15] 0.03/0.28 0.03/0.28 0.03/0.28 ### Cost equations --> "Loop" of f7/7 0.03/0.28 * CEs [15] --> Loop 9 0.03/0.28 * CEs [11] --> Loop 10 0.03/0.28 * CEs [12] --> Loop 11 0.03/0.28 * CEs [13] --> Loop 12 0.03/0.28 * CEs [14] --> Loop 13 0.03/0.28 0.03/0.28 ### Ranking functions of CR f7(B,C,D,E,G,H,I) 0.03/0.28 * RF of phase [9]: [B-C+1,-C+1024] 0.03/0.28 0.03/0.28 #### Partial ranking functions of CR f7(B,C,D,E,G,H,I) 0.03/0.28 * Partial RF of phase [9]: 0.03/0.28 - RF of loop [9:1]: 0.03/0.28 B-C+1 0.03/0.28 -C+1024 0.03/0.28 0.03/0.28 0.03/0.28 ### Specialization of cost equations f7_loop_cont/7 0.03/0.28 * CE 10 is refined into CE [16] 0.03/0.28 * CE 9 is refined into CE [17] 0.03/0.28 0.03/0.28 0.03/0.28 ### Cost equations --> "Loop" of f7_loop_cont/7 0.03/0.28 * CEs [16] --> Loop 14 0.03/0.28 * CEs [17] --> Loop 15 0.03/0.28 0.03/0.28 ### Ranking functions of CR f7_loop_cont(A,B,C,D,E,F,G) 0.03/0.28 0.03/0.28 #### Partial ranking functions of CR f7_loop_cont(A,B,C,D,E,F,G) 0.03/0.28 0.03/0.28 0.03/0.28 ### Specialization of cost equations f0/6 0.03/0.28 * CE 1 is refined into CE [18,19,20,21,22] 0.03/0.28 * CE 2 is refined into CE [23,24,25,26,27] 0.03/0.28 * CE 3 is refined into CE [28,29,30,31,32] 0.03/0.28 0.03/0.28 0.03/0.28 ### Cost equations --> "Loop" of f0/6 0.03/0.28 * CEs [20,25,30] --> Loop 16 0.03/0.28 * CEs [19,24,29] --> Loop 17 0.03/0.28 * CEs [18,23,28] --> Loop 18 0.03/0.28 * CEs [21,22,26,27,31,32] --> Loop 19 0.03/0.28 0.03/0.28 ### Ranking functions of CR f0(A,B,C,D,E,G) 0.03/0.28 0.03/0.28 #### Partial ranking functions of CR f0(A,B,C,D,E,G) 0.03/0.28 0.03/0.28 0.03/0.28 Computing Bounds 0.03/0.28 ===================================== 0.03/0.28 0.03/0.28 #### Cost of chains of f7(B,C,D,E,G,H,I): 0.03/0.28 * Chain [[9],13]: 1*it(9)+0 0.03/0.28 Such that:it(9) =< -D/2+I/2 0.03/0.28 0.03/0.28 with precondition: [G=2,B+1=H,D+2*B+2=2*C+I,1023>=B,1022>=E,C>=0,E>=0,B>=C] 0.03/0.28 0.03/0.28 * Chain [[9],12]: 1*it(9)+0 0.03/0.28 Such that:it(9) =< -D/2+I/2 0.03/0.28 0.03/0.28 with precondition: [G=2,B+1=H,D+2*B+2=2*C+I,1023>=B,0>=E+1,C>=0,B>=C] 0.03/0.28 0.03/0.28 * Chain [[9],11]: 1*it(9)+0 0.03/0.28 Such that:it(9) =< -D/2+I/2 0.03/0.28 0.03/0.28 with precondition: [G=2,B+1=H,D+2*B+2=2*C+I,1023>=B,C>=0,E>=1023,B>=C] 0.03/0.28 0.03/0.28 * Chain [[9],10]: 1*it(9)+0 0.03/0.28 Such that:it(9) =< B-C+1 0.03/0.28 0.03/0.28 with precondition: [G=3,1023>=B,C>=0,B>=C] 0.03/0.28 0.03/0.28 * Chain [10]: 0 0.03/0.28 with precondition: [G=3,1023>=B,B>=0,C>=0] 0.03/0.28 0.03/0.28 0.03/0.28 #### Cost of chains of f7_loop_cont(A,B,C,D,E,F,G): 0.03/0.28 * Chain [15]: 0 0.03/0.28 with precondition: [A=2,1023>=C,C>=0] 0.03/0.28 0.03/0.28 * Chain [14]: 0 0.03/0.28 with precondition: [A=3,1023>=C,C>=0] 0.03/0.28 0.03/0.28 0.03/0.28 #### Cost of chains of f0(A,B,C,D,E,G): 0.03/0.28 * Chain [19]: 1026 0.03/0.28 with precondition: [] 0.03/0.28 0.03/0.28 * Chain [18]: 1026 0.03/0.28 with precondition: [1022>=E,E>=0] 0.03/0.28 0.03/0.28 * Chain [17]: 1026 0.03/0.28 with precondition: [0>=E+1] 0.03/0.28 0.03/0.28 * Chain [16]: 1026 0.03/0.28 with precondition: [E>=1023] 0.03/0.28 0.03/0.28 0.03/0.28 Closed-form bounds of f0(A,B,C,D,E,G): 0.03/0.28 ------------------------------------- 0.03/0.28 * Chain [19] with precondition: [] 0.03/0.28 - Upper bound: 1026 0.03/0.28 - Complexity: constant 0.03/0.28 * Chain [18] with precondition: [1022>=E,E>=0] 0.03/0.28 - Upper bound: 1026 0.03/0.28 - Complexity: constant 0.03/0.28 * Chain [17] with precondition: [0>=E+1] 0.03/0.28 - Upper bound: 1026 0.03/0.28 - Complexity: constant 0.03/0.28 * Chain [16] with precondition: [E>=1023] 0.03/0.28 - Upper bound: 1026 0.03/0.28 - Complexity: constant 0.03/0.28 0.03/0.28 ### Maximum cost of f0(A,B,C,D,E,G): 1026 0.03/0.28 Asymptotic class: constant 0.03/0.28 * Total analysis performed in 215 ms. 0.03/0.28 0.03/0.38 EOF