0.03/0.14 MAYBE 0.03/0.14 0.03/0.14 Preprocessing Cost Relations 0.03/0.68 ===================================== 0.03/0.68 0.03/0.68 #### Computed strongly connected components 0.03/0.68 0. recursive : [f1/11] 0.03/0.68 1. non_recursive : [exit_location/1] 0.03/0.68 2. non_recursive : [f300/9] 0.03/0.68 3. non_recursive : [f1_loop_cont/10] 0.03/0.68 4. non_recursive : [f2/9] 0.03/0.68 0.03/0.68 #### Obtained direct recursion through partial evaluation 0.03/0.68 0. SCC is partially evaluated into f1/11 0.03/0.68 1. SCC is completely evaluated into other SCCs 0.03/0.68 2. SCC is completely evaluated into other SCCs 0.03/0.68 3. SCC is partially evaluated into f1_loop_cont/10 0.03/0.68 4. SCC is partially evaluated into f2/9 0.03/0.68 0.03/0.68 Control-Flow Refinement of Cost Relations 0.03/0.68 ===================================== 0.03/0.68 0.03/0.68 ### Specialization of cost equations f1/11 0.03/0.68 * CE 4 is refined into CE [7] 0.03/0.68 * CE 3 is refined into CE [8] 0.03/0.68 * CE 2 is refined into CE [9] 0.03/0.68 0.03/0.68 0.03/0.68 ### Cost equations --> "Loop" of f1/11 0.03/0.68 * CEs [9] --> Loop 7 0.03/0.68 * CEs [7] --> Loop 8 0.03/0.68 * CEs [8] --> Loop 9 0.03/0.68 0.03/0.68 ### Ranking functions of CR f1(A,B,C,D,E,F,L,M,N,O,P) 0.03/0.68 0.03/0.68 #### Partial ranking functions of CR f1(A,B,C,D,E,F,L,M,N,O,P) 0.03/0.68 0.03/0.68 0.03/0.68 ### Specialization of cost equations f1_loop_cont/10 0.03/0.68 * CE 6 is refined into CE [10] 0.03/0.68 * CE 5 is refined into CE [11] 0.03/0.68 0.03/0.68 0.03/0.68 ### Cost equations --> "Loop" of f1_loop_cont/10 0.03/0.68 * CEs [10] --> Loop 10 0.03/0.68 * CEs [11] --> Loop 11 0.03/0.68 0.03/0.68 ### Ranking functions of CR f1_loop_cont(A,B,C,D,E,F,G,H,I,J) 0.03/0.68 0.03/0.68 #### Partial ranking functions of CR f1_loop_cont(A,B,C,D,E,F,G,H,I,J) 0.03/0.68 0.03/0.68 0.03/0.68 ### Specialization of cost equations f2/9 0.03/0.68 * CE 1 is refined into CE [12,13,14,15,16] 0.03/0.68 0.03/0.68 0.03/0.68 ### Cost equations --> "Loop" of f2/9 0.03/0.68 * CEs [15,16] --> Loop 12 0.03/0.68 * CEs [12] --> Loop 13 0.03/0.68 * CEs [14] --> Loop 14 0.03/0.68 * CEs [13] --> Loop 15 0.03/0.68 0.03/0.68 ### Ranking functions of CR f2(A,B,C,D,E,F,G,H,L) 0.03/0.68 0.03/0.68 #### Partial ranking functions of CR f2(A,B,C,D,E,F,G,H,L) 0.03/0.68 0.03/0.68 0.03/0.68 Computing Bounds 0.03/0.68 ===================================== 0.03/0.68 0.03/0.68 #### Cost of chains of f1(A,B,C,D,E,F,L,M,N,O,P): 0.03/0.68 * Chain [[7]]...: 1*it(7)+0 0.03/0.68 with precondition: [B>=A+1] 0.03/0.68 0.03/0.68 * Chain [[7],8]: 1*it(7)+0 0.03/0.68 with precondition: [L=3,B>=A+1] 0.03/0.68 0.03/0.68 * Chain [9]: 0 0.03/0.68 with precondition: [L=2,O=E,A>=B] 0.03/0.68 0.03/0.68 * Chain [8]: 0 0.03/0.68 with precondition: [L=3] 0.03/0.68 0.03/0.68 0.03/0.68 #### Cost of chains of f1_loop_cont(A,B,C,D,E,F,G,H,I,J): 0.03/0.68 * Chain [11]: 0 0.03/0.68 with precondition: [A=2] 0.03/0.68 0.03/0.68 * Chain [10]: 0 0.03/0.68 with precondition: [A=3] 0.03/0.68 0.03/0.68 0.03/0.68 #### Cost of chains of f2(A,B,C,D,E,F,G,H,L): 0.03/0.68 * Chain [15]: 0 0.03/0.68 with precondition: [] 0.03/0.68 0.03/0.68 * Chain [14]: 1*s(1)+0 0.03/0.68 with precondition: [B>=A+1] 0.03/0.68 0.03/0.68 * Chain [13]: 0 0.03/0.68 with precondition: [A>=B] 0.03/0.68 0.03/0.68 * Chain [12]...: 1*aux(1)+0 0.03/0.68 with precondition: [B>=A+1] 0.03/0.68 0.03/0.68 0.03/0.68 Closed-form bounds of f2(A,B,C,D,E,F,G,H,L): 0.03/0.68 ------------------------------------- 0.03/0.68 * Chain [15] with precondition: [] 0.03/0.68 - Upper bound: 0 0.03/0.68 - Complexity: constant 0.03/0.68 * Chain [14] with precondition: [B>=A+1] 0.03/0.68 - Upper bound: inf 0.03/0.68 - Complexity: infinity 0.03/0.68 * Chain [13] with precondition: [A>=B] 0.03/0.68 - Upper bound: 0 0.03/0.68 - Complexity: constant 0.03/0.68 * Chain [12]... with precondition: [B>=A+1] 0.03/0.68 - Upper bound: inf 0.03/0.68 - Complexity: infinity 0.03/0.68 0.03/0.68 ### Maximum cost of f2(A,B,C,D,E,F,G,H,L): inf 0.03/0.68 Asymptotic class: infinity 0.03/0.68 * Total analysis performed in 81 ms. 0.03/0.68 0.03/0.68 EOF