0.03/0.20 MAYBE 0.03/0.20 0.03/0.20 Preprocessing Cost Relations 0.03/0.20 ===================================== 0.03/0.20 0.03/0.20 #### Computed strongly connected components 0.03/0.20 0. recursive : [f1/11] 0.03/0.20 1. non_recursive : [exit_location/1] 0.03/0.20 2. non_recursive : [f300/9] 0.03/0.20 3. non_recursive : [f1_loop_cont/10] 0.03/0.20 4. non_recursive : [f2/9] 0.03/0.20 0.03/0.20 #### Obtained direct recursion through partial evaluation 0.03/0.20 0. SCC is partially evaluated into f1/11 0.03/0.20 1. SCC is completely evaluated into other SCCs 0.03/0.20 2. SCC is completely evaluated into other SCCs 0.03/0.20 3. SCC is partially evaluated into f1_loop_cont/10 0.03/0.20 4. SCC is partially evaluated into f2/9 0.03/0.20 0.03/0.20 Control-Flow Refinement of Cost Relations 0.03/0.20 ===================================== 0.03/0.20 0.03/0.20 ### Specialization of cost equations f1/11 0.03/0.20 * CE 6 is refined into CE [9] 0.03/0.20 * CE 5 is refined into CE [10] 0.03/0.20 * CE 2 is refined into CE [11] 0.03/0.20 * CE 3 is refined into CE [12] 0.03/0.20 * CE 4 is refined into CE [13] 0.03/0.20 0.03/0.20 0.03/0.20 ### Cost equations --> "Loop" of f1/11 0.03/0.20 * CEs [11] --> Loop 9 0.03/0.20 * CEs [12] --> Loop 10 0.03/0.20 * CEs [13] --> Loop 11 0.03/0.20 * CEs [9] --> Loop 12 0.03/0.20 * CEs [10] --> Loop 13 0.03/0.20 0.03/0.20 ### Ranking functions of CR f1(A,B,C,D,E,F,L,M,N,O,P) 0.03/0.20 0.03/0.20 #### Partial ranking functions of CR f1(A,B,C,D,E,F,L,M,N,O,P) 0.03/0.20 0.03/0.20 0.03/0.20 ### Specialization of cost equations f1_loop_cont/10 0.03/0.20 * CE 8 is refined into CE [14] 0.03/0.20 * CE 7 is refined into CE [15] 0.03/0.20 0.03/0.20 0.03/0.20 ### Cost equations --> "Loop" of f1_loop_cont/10 0.03/0.20 * CEs [14] --> Loop 14 0.03/0.20 * CEs [15] --> Loop 15 0.03/0.20 0.03/0.20 ### Ranking functions of CR f1_loop_cont(A,B,C,D,E,F,G,H,I,J) 0.03/0.20 0.03/0.20 #### Partial ranking functions of CR f1_loop_cont(A,B,C,D,E,F,G,H,I,J) 0.03/0.20 0.03/0.20 0.03/0.20 ### Specialization of cost equations f2/9 0.03/0.20 * CE 1 is refined into CE [16,17,18,19,20] 0.03/0.20 0.03/0.20 0.03/0.20 ### Cost equations --> "Loop" of f2/9 0.03/0.20 * CEs [19,20] --> Loop 16 0.03/0.20 * CEs [18] --> Loop 17 0.03/0.20 * CEs [16] --> Loop 18 0.03/0.20 * CEs [17] --> Loop 19 0.03/0.20 0.03/0.20 ### Ranking functions of CR f2(A,B,C,D,E,F,G,H,L) 0.03/0.20 0.03/0.20 #### Partial ranking functions of CR f2(A,B,C,D,E,F,G,H,L) 0.03/0.20 0.03/0.20 0.03/0.20 Computing Bounds 0.03/0.20 ===================================== 0.03/0.20 0.03/0.20 #### Cost of chains of f1(A,B,C,D,E,F,L,M,N,O,P): 0.03/0.20 * Chain [[9,10,11]]...: 3*it(9)+0 0.03/0.20 with precondition: [A>=B+1] 0.03/0.20 0.03/0.20 * Chain [[9,10,11],12]: 3*it(9)+0 0.03/0.20 with precondition: [L=3,A>=B+1] 0.03/0.20 0.03/0.20 * Chain [13]: 0 0.03/0.20 with precondition: [L=2,N=D,O=E,B>=A] 0.03/0.20 0.03/0.20 * Chain [12]: 0 0.03/0.20 with precondition: [L=3] 0.03/0.20 0.03/0.20 0.03/0.20 #### Cost of chains of f1_loop_cont(A,B,C,D,E,F,G,H,I,J): 0.03/0.20 * Chain [15]: 0 0.03/0.20 with precondition: [A=2,I=H] 0.03/0.20 0.03/0.20 * Chain [14]: 0 0.03/0.20 with precondition: [A=3,I=H] 0.03/0.20 0.03/0.20 0.03/0.20 #### Cost of chains of f2(A,B,C,D,E,F,G,H,L): 0.03/0.20 * Chain [19]: 0 0.03/0.20 with precondition: [] 0.03/0.20 0.03/0.20 * Chain [18]: 0 0.03/0.20 with precondition: [B>=A] 0.03/0.20 0.03/0.20 * Chain [17]: 3*s(1)+0 0.03/0.20 with precondition: [A>=B+1] 0.03/0.20 0.03/0.20 * Chain [16]...: 1*aux(1)+0 0.03/0.20 with precondition: [A>=B+1] 0.03/0.20 0.03/0.20 0.03/0.20 Closed-form bounds of f2(A,B,C,D,E,F,G,H,L): 0.03/0.20 ------------------------------------- 0.03/0.20 * Chain [19] with precondition: [] 0.03/0.20 - Upper bound: 0 0.03/0.20 - Complexity: constant 0.03/0.20 * Chain [18] with precondition: [B>=A] 0.03/0.20 - Upper bound: 0 0.03/0.20 - Complexity: constant 0.03/0.20 * Chain [17] with precondition: [A>=B+1] 0.03/0.20 - Upper bound: inf 0.03/0.20 - Complexity: infinity 0.03/0.20 * Chain [16]... with precondition: [A>=B+1] 0.03/0.20 - Upper bound: inf 0.03/0.20 - Complexity: infinity 0.03/0.20 0.03/0.20 ### Maximum cost of f2(A,B,C,D,E,F,G,H,L): inf 0.03/0.20 Asymptotic class: infinity 0.03/0.20 * Total analysis performed in 140 ms. 0.03/0.20 0.22/0.30 EOF