0.03/0.23 MAYBE 0.03/0.23 0.03/0.23 Preprocessing Cost Relations 0.03/0.23 ===================================== 0.03/0.23 0.03/0.23 #### Computed strongly connected components 0.03/0.23 0. recursive : [f2/13] 0.03/0.23 1. non_recursive : [exit_location/1] 0.03/0.23 2. non_recursive : [f300/12] 0.03/0.23 3. non_recursive : [f2_loop_cont/13] 0.03/0.23 4. non_recursive : [f1/12] 0.03/0.23 0.03/0.23 #### Obtained direct recursion through partial evaluation 0.03/0.23 0. SCC is partially evaluated into f2/13 0.03/0.23 1. SCC is completely evaluated into other SCCs 0.03/0.23 2. SCC is completely evaluated into other SCCs 0.03/0.23 3. SCC is partially evaluated into f2_loop_cont/13 0.03/0.23 4. SCC is partially evaluated into f1/12 0.03/0.23 0.03/0.23 Control-Flow Refinement of Cost Relations 0.03/0.23 ===================================== 0.03/0.23 0.03/0.23 ### Specialization of cost equations f2/13 0.03/0.23 * CE 6 is refined into CE [9] 0.03/0.23 * CE 5 is refined into CE [10] 0.03/0.23 * CE 2 is refined into CE [11] 0.03/0.23 * CE 3 is refined into CE [12] 0.03/0.23 * CE 4 is refined into CE [13] 0.03/0.23 0.03/0.23 0.03/0.23 ### Cost equations --> "Loop" of f2/13 0.03/0.23 * CEs [11] --> Loop 9 0.03/0.23 * CEs [12] --> Loop 10 0.03/0.23 * CEs [13] --> Loop 11 0.03/0.23 * CEs [9] --> Loop 12 0.03/0.23 * CEs [10] --> Loop 13 0.03/0.23 0.03/0.23 ### Ranking functions of CR f2(A,B,C,D,E,F,G,P,Q,R,S,T,U) 0.03/0.23 0.03/0.23 #### Partial ranking functions of CR f2(A,B,C,D,E,F,G,P,Q,R,S,T,U) 0.03/0.23 0.03/0.23 0.03/0.23 ### Specialization of cost equations f2_loop_cont/13 0.03/0.23 * CE 8 is refined into CE [14] 0.03/0.23 * CE 7 is refined into CE [15] 0.03/0.23 0.03/0.23 0.03/0.23 ### Cost equations --> "Loop" of f2_loop_cont/13 0.03/0.23 * CEs [14] --> Loop 14 0.03/0.23 * CEs [15] --> Loop 15 0.03/0.23 0.03/0.23 ### Ranking functions of CR f2_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M) 0.03/0.23 0.03/0.23 #### Partial ranking functions of CR f2_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M) 0.03/0.23 0.03/0.23 0.03/0.23 ### Specialization of cost equations f1/12 0.03/0.23 * CE 1 is refined into CE [16,17,18,19,20] 0.03/0.23 0.03/0.23 0.03/0.23 ### Cost equations --> "Loop" of f1/12 0.03/0.23 * CEs [19,20] --> Loop 16 0.03/0.23 * CEs [16] --> Loop 17 0.03/0.23 * CEs [18] --> Loop 18 0.03/0.23 * CEs [17] --> Loop 19 0.03/0.23 0.03/0.23 ### Ranking functions of CR f1(A,B,C,D,E,F,G,H,I,J,K,P) 0.03/0.23 0.03/0.23 #### Partial ranking functions of CR f1(A,B,C,D,E,F,G,H,I,J,K,P) 0.03/0.23 0.03/0.23 0.03/0.23 Computing Bounds 0.03/0.23 ===================================== 0.03/0.23 0.03/0.23 #### Cost of chains of f2(A,B,C,D,E,F,G,P,Q,R,S,T,U): 0.03/0.23 * Chain [[9,10,11]]...: 3*it(9)+0 0.03/0.23 with precondition: [B>=A+1] 0.03/0.23 0.03/0.23 * Chain [[9,10,11],12]: 3*it(9)+0 0.03/0.23 with precondition: [P=3,B>=A+1] 0.03/0.23 0.03/0.23 * Chain [13]: 0 0.03/0.23 with precondition: [P=2,S=E,T=F,A>=B] 0.03/0.23 0.03/0.23 * Chain [12]: 0 0.03/0.23 with precondition: [P=3] 0.03/0.23 0.03/0.23 0.03/0.23 #### Cost of chains of f2_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M): 0.03/0.23 * Chain [15]: 0 0.03/0.23 with precondition: [A=2,L=I,K=J] 0.03/0.23 0.03/0.23 * Chain [14]: 0 0.03/0.23 with precondition: [A=3,L=I,K=J] 0.03/0.23 0.03/0.23 0.03/0.23 #### Cost of chains of f1(A,B,C,D,E,F,G,H,I,J,K,P): 0.03/0.23 * Chain [19]: 0 0.03/0.23 with precondition: [] 0.03/0.23 0.03/0.23 * Chain [18]: 3*s(1)+0 0.03/0.23 with precondition: [B>=A+1] 0.03/0.23 0.03/0.23 * Chain [17]: 0 0.03/0.23 with precondition: [A>=B] 0.03/0.23 0.03/0.23 * Chain [16]...: 1*aux(1)+0 0.03/0.23 with precondition: [B>=A+1] 0.03/0.23 0.03/0.23 0.03/0.23 Closed-form bounds of f1(A,B,C,D,E,F,G,H,I,J,K,P): 0.03/0.23 ------------------------------------- 0.03/0.23 * Chain [19] with precondition: [] 0.03/0.23 - Upper bound: 0 0.03/0.23 - Complexity: constant 0.03/0.23 * Chain [18] with precondition: [B>=A+1] 0.03/0.23 - Upper bound: inf 0.03/0.23 - Complexity: infinity 0.03/0.23 * Chain [17] with precondition: [A>=B] 0.03/0.23 - Upper bound: 0 0.03/0.23 - Complexity: constant 0.03/0.23 * Chain [16]... with precondition: [B>=A+1] 0.03/0.23 - Upper bound: inf 0.03/0.23 - Complexity: infinity 0.03/0.23 0.03/0.23 ### Maximum cost of f1(A,B,C,D,E,F,G,H,I,J,K,P): inf 0.03/0.23 Asymptotic class: infinity 0.03/0.23 * Total analysis performed in 163 ms. 0.03/0.23 0.03/0.33 EOF