0.03/0.30 MAYBE 0.03/0.30 0.03/0.30 Preprocessing Cost Relations 0.03/0.30 ===================================== 0.03/0.30 0.03/0.30 #### Computed strongly connected components 0.03/0.30 0. recursive : [f0/11] 0.03/0.30 1. non_recursive : [exit_location/1] 0.03/0.30 2. non_recursive : [f2/6] 0.03/0.30 3. non_recursive : [f0_loop_cont/7] 0.03/0.30 4. non_recursive : [f1/6] 0.03/0.30 0.03/0.30 #### Obtained direct recursion through partial evaluation 0.03/0.30 0. SCC is partially evaluated into f0/11 0.03/0.30 1. SCC is completely evaluated into other SCCs 0.03/0.30 2. SCC is completely evaluated into other SCCs 0.03/0.30 3. SCC is partially evaluated into f0_loop_cont/7 0.03/0.30 4. SCC is partially evaluated into f1/6 0.03/0.30 0.03/0.30 Control-Flow Refinement of Cost Relations 0.03/0.30 ===================================== 0.03/0.30 0.03/0.30 ### Specialization of cost equations f0/11 0.03/0.30 * CE 6 is refined into CE [9] 0.03/0.30 * CE 2 is refined into CE [10] 0.03/0.30 * CE 4 is refined into CE [11] 0.03/0.30 * CE 3 is refined into CE [12] 0.03/0.30 * CE 5 is refined into CE [13] 0.03/0.30 0.03/0.30 0.03/0.30 ### Cost equations --> "Loop" of f0/11 0.03/0.30 * CEs [11] --> Loop 9 0.03/0.30 * CEs [12] --> Loop 10 0.03/0.30 * CEs [13] --> Loop 11 0.03/0.30 * CEs [9] --> Loop 12 0.03/0.30 * CEs [10] --> Loop 13 0.03/0.30 0.03/0.30 ### Ranking functions of CR f0(A,B,C,D,E,I,J,K,L,M,N) 0.03/0.30 0.03/0.30 #### Partial ranking functions of CR f0(A,B,C,D,E,I,J,K,L,M,N) 0.03/0.30 * Partial RF of phase [9,10,11]: 0.03/0.30 - RF of loop [11:1]: 0.03/0.30 2*A-1 depends on loops [9:1,10:1] 0.03/0.30 0.03/0.30 0.03/0.30 ### Specialization of cost equations f0_loop_cont/7 0.03/0.30 * CE 8 is refined into CE [14] 0.03/0.30 * CE 7 is refined into CE [15] 0.03/0.30 0.03/0.30 0.03/0.30 ### Cost equations --> "Loop" of f0_loop_cont/7 0.03/0.30 * CEs [14] --> Loop 14 0.03/0.30 * CEs [15] --> Loop 15 0.03/0.30 0.03/0.30 ### Ranking functions of CR f0_loop_cont(A,B,C,D,E,F,G) 0.03/0.30 0.03/0.30 #### Partial ranking functions of CR f0_loop_cont(A,B,C,D,E,F,G) 0.03/0.30 0.03/0.30 0.03/0.30 ### Specialization of cost equations f1/6 0.03/0.30 * CE 1 is refined into CE [16,17,18,19,20] 0.03/0.30 0.03/0.30 0.03/0.30 ### Cost equations --> "Loop" of f1/6 0.03/0.30 * CEs [19,20] --> Loop 16 0.03/0.30 * CEs [18] --> Loop 17 0.03/0.30 * CEs [16] --> Loop 18 0.03/0.30 * CEs [17] --> Loop 19 0.03/0.30 0.03/0.30 ### Ranking functions of CR f1(A,B,C,D,E,I) 0.03/0.30 0.03/0.30 #### Partial ranking functions of CR f1(A,B,C,D,E,I) 0.03/0.30 0.03/0.30 0.03/0.30 Computing Bounds 0.03/0.30 ===================================== 0.03/0.30 0.03/0.30 #### Cost of chains of f0(A,B,C,D,E,I,J,K,L,M,N): 0.03/0.30 * Chain [[9,10,11]]...: 3*it(9)+0 0.03/0.30 with precondition: [A>=1] 0.03/0.30 0.03/0.30 * Chain [[9,10,11],12]: 3*it(9)+0 0.03/0.30 with precondition: [I=3,A>=1] 0.03/0.30 0.03/0.30 * Chain [13]: 0 0.03/0.30 with precondition: [I=2,L=C,M=D,N=E,A=J,0>=A] 0.03/0.30 0.03/0.30 * Chain [12]: 0 0.03/0.30 with precondition: [I=3] 0.03/0.30 0.03/0.30 0.03/0.30 #### Cost of chains of f0_loop_cont(A,B,C,D,E,F,G): 0.03/0.30 * Chain [15]: 0 0.03/0.30 with precondition: [A=2] 0.03/0.30 0.03/0.30 * Chain [14]: 0 0.03/0.30 with precondition: [A=3] 0.03/0.30 0.03/0.30 0.03/0.30 #### Cost of chains of f1(A,B,C,D,E,I): 0.03/0.30 * Chain [19]: 0 0.03/0.30 with precondition: [] 0.03/0.30 0.03/0.30 * Chain [18]: 0 0.03/0.30 with precondition: [0>=A] 0.03/0.30 0.03/0.30 * Chain [17]: 3*s(1)+0 0.03/0.30 with precondition: [A>=1] 0.03/0.30 0.03/0.30 * Chain [16]...: 1*aux(20)+0 0.03/0.30 with precondition: [A>=1] 0.03/0.30 0.03/0.30 0.03/0.30 Closed-form bounds of f1(A,B,C,D,E,I): 0.03/0.30 ------------------------------------- 0.03/0.30 * Chain [19] with precondition: [] 0.03/0.30 - Upper bound: 0 0.03/0.30 - Complexity: constant 0.03/0.30 * Chain [18] with precondition: [0>=A] 0.03/0.30 - Upper bound: 0 0.03/0.30 - Complexity: constant 0.03/0.30 * Chain [17] with precondition: [A>=1] 0.03/0.30 - Upper bound: inf 0.03/0.30 - Complexity: infinity 0.03/0.30 * Chain [16]... with precondition: [A>=1] 0.03/0.30 - Upper bound: inf 0.03/0.30 - Complexity: infinity 0.03/0.30 0.03/0.30 ### Maximum cost of f1(A,B,C,D,E,I): inf 0.03/0.30 Asymptotic class: infinity 0.03/0.30 * Total analysis performed in 225 ms. 0.03/0.30 0.03/0.40 EOF