0.03/0.28 MAYBE 0.03/0.28 0.03/0.28 Preprocessing Cost Relations 0.03/0.28 ===================================== 0.03/0.28 0.03/0.28 #### Computed strongly connected components 0.03/0.28 0. recursive : [f0/9] 0.03/0.28 1. recursive : [f0_loop_cont/12,f2/11] 0.03/0.28 2. non_recursive : [exit_location/1] 0.03/0.28 3. non_recursive : [f4/8] 0.03/0.28 4. non_recursive : [f2_loop_cont/9] 0.03/0.28 5. non_recursive : [f3/8] 0.03/0.28 0.03/0.28 #### Obtained direct recursion through partial evaluation 0.03/0.28 0. SCC is partially evaluated into f0/9 0.03/0.28 1. SCC is partially evaluated into f2/11 0.03/0.28 2. SCC is completely evaluated into other SCCs 0.03/0.28 3. SCC is completely evaluated into other SCCs 0.03/0.28 4. SCC is partially evaluated into f2_loop_cont/9 0.03/0.28 5. SCC is partially evaluated into f3/8 0.03/0.28 0.03/0.28 Control-Flow Refinement of Cost Relations 0.03/0.28 ===================================== 0.03/0.28 0.03/0.28 ### Specialization of cost equations f0/9 0.03/0.28 * CE 10 is refined into CE [11] 0.03/0.28 * CE 8 is refined into CE [12] 0.03/0.28 * CE 9 is refined into CE [13] 0.03/0.28 0.03/0.28 0.03/0.28 ### Cost equations --> "Loop" of f0/9 0.03/0.28 * CEs [13] --> Loop 11 0.03/0.28 * CEs [11] --> Loop 12 0.03/0.28 * CEs [12] --> Loop 13 0.03/0.28 0.03/0.28 ### Ranking functions of CR f0(A,B,C,D,J,K,L,M,N) 0.03/0.28 * RF of phase [11]: [A] 0.03/0.28 0.03/0.28 #### Partial ranking functions of CR f0(A,B,C,D,J,K,L,M,N) 0.03/0.28 * Partial RF of phase [11]: 0.03/0.28 - RF of loop [11:1]: 0.03/0.28 A 0.03/0.28 0.03/0.28 0.03/0.28 ### Specialization of cost equations f2/11 0.03/0.28 * CE 4 is refined into CE [14] 0.03/0.28 * CE 2 is refined into CE [15,16] 0.03/0.28 * CE 5 is refined into CE [17] 0.03/0.28 * CE 3 is refined into CE [18] 0.03/0.28 0.03/0.28 0.03/0.28 ### Cost equations --> "Loop" of f2/11 0.03/0.28 * CEs [18] --> Loop 14 0.03/0.28 * CEs [14] --> Loop 15 0.03/0.28 * CEs [15,16] --> Loop 16 0.03/0.28 * CEs [17] --> Loop 17 0.03/0.28 0.03/0.28 ### Ranking functions of CR f2(A,B,C,D,G,J,K,L,M,N,O) 0.03/0.28 * RF of phase [14]: [C] 0.03/0.28 0.03/0.28 #### Partial ranking functions of CR f2(A,B,C,D,G,J,K,L,M,N,O) 0.03/0.28 * Partial RF of phase [14]: 0.03/0.28 - RF of loop [14:1]: 0.03/0.28 C 0.03/0.28 0.03/0.28 0.03/0.28 ### Specialization of cost equations f2_loop_cont/9 0.03/0.28 * CE 6 is refined into CE [19] 0.03/0.28 * CE 7 is refined into CE [20] 0.03/0.28 0.03/0.28 0.03/0.28 ### Cost equations --> "Loop" of f2_loop_cont/9 0.03/0.28 * CEs [19] --> Loop 18 0.03/0.28 * CEs [20] --> Loop 19 0.03/0.28 0.03/0.28 ### Ranking functions of CR f2_loop_cont(A,B,C,D,E,F,G,H,I) 0.03/0.28 0.03/0.28 #### Partial ranking functions of CR f2_loop_cont(A,B,C,D,E,F,G,H,I) 0.03/0.28 0.03/0.28 0.03/0.28 ### Specialization of cost equations f3/8 0.03/0.28 * CE 1 is refined into CE [21,22,23,24,25] 0.03/0.28 0.03/0.28 0.03/0.28 ### Cost equations --> "Loop" of f3/8 0.03/0.28 * CEs [21,22,23,24,25] --> Loop 20 0.03/0.28 0.03/0.28 ### Ranking functions of CR f3(A,B,C,D,E,F,G,J) 0.03/0.28 0.03/0.28 #### Partial ranking functions of CR f3(A,B,C,D,E,F,G,J) 0.03/0.28 0.03/0.28 0.03/0.28 Computing Bounds 0.03/0.28 ===================================== 0.03/0.28 0.03/0.28 #### Cost of chains of f0(A,B,C,D,J,K,L,M,N): 0.03/0.28 * Chain [[11],13]: 1*it(11)+0 0.03/0.28 Such that:it(11) =< A 0.03/0.28 0.03/0.28 with precondition: [J=2,K=0,N=1,A+L=C+1,A+M=C,A>=1] 0.03/0.28 0.03/0.28 * Chain [[11],12]: 1*it(11)+0 0.03/0.28 Such that:it(11) =< A 0.03/0.28 0.03/0.28 with precondition: [J=3,A>=1] 0.03/0.28 0.03/0.28 * Chain [12]: 0 0.03/0.28 with precondition: [J=3,A>=0] 0.03/0.28 0.03/0.28 0.03/0.28 #### Cost of chains of f2(A,B,C,D,G,J,K,L,M,N,O): 0.03/0.28 * Chain [[14],17]: 1*it(14)+1*s(3)+0 0.03/0.28 Such that:it(14) =< C 0.03/0.28 0.03/0.28 with precondition: [J=3,C>=1] 0.03/0.28 0.03/0.28 * Chain [[14],16]: 2*aux(2)+1*it(14)+0 0.03/0.28 Such that:it(14) =< C 0.03/0.28 0.03/0.28 with precondition: [J=3,C>=2] 0.03/0.28 0.03/0.28 * Chain [[14],15]: 1*it(14)+1*s(3)+0 0.03/0.28 Such that:it(14) =< C 0.03/0.28 0.03/0.28 with precondition: [J=4,K=0,N=1,L=M+1,1>=L,C>=1] 0.03/0.28 0.03/0.28 * Chain [17]: 0 0.03/0.28 with precondition: [J=3] 0.03/0.28 0.03/0.28 * Chain [16]: 1*aux(2)+0 0.03/0.28 with precondition: [J=3,C>=1] 0.03/0.28 0.03/0.28 * Chain [15]: 0 0.03/0.28 with precondition: [J=4,K=A,L=B,N=D,C=M,0>=C] 0.03/0.28 0.03/0.28 0.03/0.28 #### Cost of chains of f2_loop_cont(A,B,C,D,E,F,G,H,I): 0.03/0.28 * Chain [19]: 0 0.03/0.28 with precondition: [A=3] 0.03/0.28 0.03/0.28 * Chain [18]: 0 0.03/0.28 with precondition: [A=4] 0.03/0.28 0.03/0.28 0.03/0.28 #### Cost of chains of f3(A,B,C,D,E,F,G,J): 0.03/0.28 * Chain [20]: 1*aux(3)+0 0.03/0.28 with precondition: [] 0.03/0.28 0.03/0.28 0.03/0.28 Closed-form bounds of f3(A,B,C,D,E,F,G,J): 0.03/0.28 ------------------------------------- 0.03/0.28 * Chain [20] with precondition: [] 0.03/0.28 - Upper bound: inf 0.03/0.28 - Complexity: infinity 0.03/0.28 0.03/0.28 ### Maximum cost of f3(A,B,C,D,E,F,G,J): inf 0.03/0.28 Asymptotic class: infinity 0.03/0.28 * Total analysis performed in 209 ms. 0.03/0.28 0.03/0.38 EOF