0.03/0.22 MAYBE 0.03/0.22 0.03/0.22 Preprocessing Cost Relations 0.03/0.22 ===================================== 0.03/0.22 0.03/0.22 #### Computed strongly connected components 0.03/0.22 0. recursive : [f0/12] 0.03/0.22 1. non_recursive : [exit_location/1] 0.03/0.22 2. non_recursive : [f2/8] 0.03/0.22 3. non_recursive : [f0_loop_cont/9] 0.03/0.22 4. non_recursive : [f1/8] 0.03/0.22 0.03/0.22 #### Obtained direct recursion through partial evaluation 0.03/0.22 0. SCC is partially evaluated into f0/12 0.03/0.22 1. SCC is completely evaluated into other SCCs 0.03/0.22 2. SCC is completely evaluated into other SCCs 0.03/0.22 3. SCC is partially evaluated into f0_loop_cont/9 0.03/0.22 4. SCC is partially evaluated into f1/8 0.03/0.22 0.03/0.22 Control-Flow Refinement of Cost Relations 0.03/0.22 ===================================== 0.03/0.22 0.03/0.22 ### Specialization of cost equations f0/12 0.03/0.22 * CE 6 is refined into CE [9] 0.03/0.22 * CE 2 is refined into CE [10] 0.03/0.22 * CE 5 is refined into CE [11] 0.03/0.22 * CE 4 is refined into CE [12] 0.03/0.22 * CE 3 is refined into CE [13] 0.03/0.22 0.03/0.22 0.03/0.22 ### Cost equations --> "Loop" of f0/12 0.03/0.22 * CEs [11] --> Loop 9 0.03/0.22 * CEs [12] --> Loop 10 0.03/0.22 * CEs [13] --> Loop 11 0.03/0.22 * CEs [9] --> Loop 12 0.03/0.22 * CEs [10] --> Loop 13 0.03/0.22 0.03/0.22 ### Ranking functions of CR f0(A,B,C,D,E,F,L,M,N,O,P,Q) 0.03/0.22 0.03/0.22 #### Partial ranking functions of CR f0(A,B,C,D,E,F,L,M,N,O,P,Q) 0.03/0.22 0.03/0.22 0.03/0.22 ### Specialization of cost equations f0_loop_cont/9 0.03/0.22 * CE 8 is refined into CE [14] 0.03/0.22 * CE 7 is refined into CE [15] 0.03/0.22 0.03/0.22 0.03/0.22 ### Cost equations --> "Loop" of f0_loop_cont/9 0.03/0.22 * CEs [14] --> Loop 14 0.03/0.22 * CEs [15] --> Loop 15 0.03/0.22 0.03/0.22 ### Ranking functions of CR f0_loop_cont(A,B,C,D,E,F,G,H,I) 0.03/0.22 0.03/0.22 #### Partial ranking functions of CR f0_loop_cont(A,B,C,D,E,F,G,H,I) 0.03/0.22 0.03/0.22 0.03/0.22 ### Specialization of cost equations f1/8 0.03/0.22 * CE 1 is refined into CE [16,17,18,19,20,21] 0.03/0.22 0.03/0.22 0.03/0.22 ### Cost equations --> "Loop" of f1/8 0.03/0.22 * CEs [20,21] --> Loop 16 0.03/0.22 * CEs [16] --> Loop 17 0.03/0.22 * CEs [17,19] --> Loop 18 0.03/0.22 * CEs [18] --> Loop 19 0.03/0.22 0.03/0.22 ### Ranking functions of CR f1(A,B,C,D,E,F,G,L) 0.03/0.22 0.03/0.22 #### Partial ranking functions of CR f1(A,B,C,D,E,F,G,L) 0.03/0.22 0.03/0.22 0.03/0.22 Computing Bounds 0.03/0.22 ===================================== 0.03/0.22 0.03/0.22 #### Cost of chains of f0(A,B,C,D,E,F,L,M,N,O,P,Q): 0.03/0.22 * Chain [[9,10,11]]...: 3*it(9)+0 0.03/0.22 with precondition: [B>=A+1] 0.03/0.22 0.03/0.22 * Chain [[9,10,11],13]: 3*it(9)+0 0.03/0.22 with precondition: [L=2,B>=A+1] 0.03/0.22 0.03/0.22 * Chain [[9,10,11],12]: 3*it(9)+0 0.03/0.22 with precondition: [L=3,B>=A+1] 0.03/0.22 0.03/0.22 * Chain [13]: 0 0.03/0.22 with precondition: [L=2,O=D,P=E,Q=F,A>=B] 0.03/0.22 0.03/0.22 * Chain [12]: 0 0.03/0.22 with precondition: [L=3] 0.03/0.22 0.03/0.22 0.03/0.22 #### Cost of chains of f0_loop_cont(A,B,C,D,E,F,G,H,I): 0.03/0.22 * Chain [15]: 0 0.03/0.22 with precondition: [A=2] 0.03/0.22 0.03/0.22 * Chain [14]: 0 0.03/0.22 with precondition: [A=3] 0.03/0.22 0.03/0.22 0.03/0.22 #### Cost of chains of f1(A,B,C,D,E,F,G,L): 0.03/0.22 * Chain [19]: 0 0.03/0.22 with precondition: [] 0.03/0.22 0.03/0.22 * Chain [18]: 1*aux(1)+0 0.03/0.22 with precondition: [B>=A+1] 0.03/0.22 0.03/0.22 * Chain [17]: 0 0.03/0.22 with precondition: [A>=B] 0.03/0.22 0.03/0.22 * Chain [16]...: 1*aux(2)+0 0.03/0.22 with precondition: [B>=A+1] 0.03/0.22 0.03/0.22 0.03/0.22 Closed-form bounds of f1(A,B,C,D,E,F,G,L): 0.03/0.22 ------------------------------------- 0.03/0.22 * Chain [19] with precondition: [] 0.03/0.22 - Upper bound: 0 0.03/0.22 - Complexity: constant 0.03/0.22 * Chain [18] with precondition: [B>=A+1] 0.03/0.22 - Upper bound: inf 0.03/0.22 - Complexity: infinity 0.03/0.22 * Chain [17] with precondition: [A>=B] 0.03/0.22 - Upper bound: 0 0.03/0.22 - Complexity: constant 0.03/0.22 * Chain [16]... with precondition: [B>=A+1] 0.03/0.22 - Upper bound: inf 0.03/0.22 - Complexity: infinity 0.03/0.22 0.03/0.22 ### Maximum cost of f1(A,B,C,D,E,F,G,L): inf 0.03/0.22 Asymptotic class: infinity 0.03/0.22 * Total analysis performed in 155 ms. 0.03/0.22 0.03/0.32 EOF