0.03/0.26 MAYBE 0.03/0.26 0.03/0.26 Preprocessing Cost Relations 0.03/0.26 ===================================== 0.03/0.26 0.03/0.26 #### Computed strongly connected components 0.03/0.26 0. recursive : [f14/9] 0.03/0.26 1. non_recursive : [exit_location/1] 0.03/0.26 2. recursive : [f24/1] 0.03/0.26 3. non_recursive : [f24_loop_cont/2] 0.03/0.26 4. non_recursive : [f14_loop_cont/9] 0.03/0.26 5. non_recursive : [f0/8] 0.03/0.26 0.03/0.26 #### Obtained direct recursion through partial evaluation 0.03/0.26 0. SCC is partially evaluated into f14/9 0.03/0.26 1. SCC is completely evaluated into other SCCs 0.03/0.26 2. SCC is partially evaluated into f24/1 0.03/0.26 3. SCC is completely evaluated into other SCCs 0.03/0.26 4. SCC is partially evaluated into f14_loop_cont/9 0.03/0.26 5. SCC is partially evaluated into f0/8 0.03/0.26 0.03/0.26 Control-Flow Refinement of Cost Relations 0.03/0.26 ===================================== 0.03/0.26 0.03/0.26 ### Specialization of cost equations f14/9 0.03/0.26 * CE 4 is refined into CE [10] 0.03/0.26 * CE 5 is refined into CE [11] 0.03/0.26 * CE 2 is refined into CE [12] 0.03/0.26 * CE 3 is refined into CE [13] 0.03/0.26 0.03/0.26 0.03/0.26 ### Cost equations --> "Loop" of f14/9 0.03/0.26 * CEs [12] --> Loop 10 0.03/0.26 * CEs [13] --> Loop 11 0.03/0.26 * CEs [10] --> Loop 12 0.03/0.26 * CEs [11] --> Loop 13 0.03/0.26 0.03/0.26 ### Ranking functions of CR f14(A,B,C,D,J,K,L,M,N) 0.03/0.26 * RF of phase [10,11]: [A] 0.03/0.26 0.03/0.26 #### Partial ranking functions of CR f14(A,B,C,D,J,K,L,M,N) 0.03/0.26 * Partial RF of phase [10,11]: 0.03/0.26 - RF of loop [10:1,11:1]: 0.03/0.26 A 0.03/0.26 - RF of loop [11:1]: 0.03/0.26 A-B 0.03/0.26 A+C-1 0.03/0.26 0.03/0.26 0.03/0.26 ### Specialization of cost equations f24/1 0.03/0.26 * CE 9 is refined into CE [14] 0.03/0.26 * CE 8 is refined into CE [15] 0.03/0.26 0.03/0.26 0.03/0.26 ### Cost equations --> "Loop" of f24/1 0.03/0.26 * CEs [15] --> Loop 14 0.03/0.26 * CEs [14] --> Loop 15 0.03/0.26 0.03/0.26 ### Ranking functions of CR f24(J) 0.03/0.26 0.03/0.26 #### Partial ranking functions of CR f24(J) 0.03/0.26 0.03/0.26 0.03/0.26 ### Specialization of cost equations f14_loop_cont/9 0.03/0.26 * CE 7 is refined into CE [16,17] 0.03/0.26 * CE 6 is refined into CE [18] 0.03/0.26 0.03/0.26 0.03/0.26 ### Cost equations --> "Loop" of f14_loop_cont/9 0.03/0.26 * CEs [16] --> Loop 16 0.03/0.26 * CEs [18] --> Loop 17 0.03/0.26 * CEs [17] --> Loop 18 0.03/0.26 0.03/0.26 ### Ranking functions of CR f14_loop_cont(A,B,C,D,E,F,G,H,I) 0.03/0.26 0.03/0.26 #### Partial ranking functions of CR f14_loop_cont(A,B,C,D,E,F,G,H,I) 0.03/0.26 0.03/0.26 0.03/0.26 ### Specialization of cost equations f0/8 0.03/0.26 * CE 1 is refined into CE [19,20,21,22] 0.03/0.26 0.03/0.26 0.03/0.26 ### Cost equations --> "Loop" of f0/8 0.03/0.26 * CEs [22] --> Loop 19 0.03/0.26 * CEs [19,20,21] --> Loop 20 0.03/0.26 0.03/0.26 ### Ranking functions of CR f0(A,B,C,D,E,F,G,J) 0.03/0.26 0.03/0.26 #### Partial ranking functions of CR f0(A,B,C,D,E,F,G,J) 0.03/0.26 0.03/0.26 0.03/0.26 Computing Bounds 0.03/0.26 ===================================== 0.03/0.26 0.03/0.26 #### Cost of chains of f14(A,B,C,D,J,K,L,M,N): 0.03/0.26 * Chain [[10,11],13]: 1*it(10)+1*it(11)+0 0.03/0.26 Such that:it(11) =< A-B 0.03/0.26 it(11) =< A+C 0.03/0.26 aux(3) =< A 0.03/0.26 it(11) =< aux(3) 0.03/0.26 it(10) =< aux(3) 0.03/0.26 0.03/0.26 with precondition: [J=2,A>=1,C>=0,B+C>=1] 0.03/0.26 0.03/0.26 * Chain [[10,11],12]: 1*it(10)+1*it(11)+0 0.03/0.26 Such that:it(11) =< A-B 0.03/0.26 it(11) =< A+C-M 0.03/0.26 aux(4) =< A 0.03/0.26 it(10) =< aux(4) 0.03/0.26 it(11) =< aux(4) 0.03/0.26 0.03/0.26 with precondition: [J=3,K=0,B+C=L+M,A>=1,C>=0,B>=L,B+C>=1,A+L>=B,B+C>=L+1] 0.03/0.26 0.03/0.26 * Chain [13]: 0 0.03/0.26 with precondition: [J=2,C>=0,A+C>=1,B+C>=1] 0.03/0.26 0.03/0.26 0.03/0.26 #### Cost of chains of f24(J): 0.03/0.26 * Chain [[14]]...: 1*it(14)+0 0.03/0.26 with precondition: [J=2] 0.03/0.26 0.03/0.26 * Chain [[14],15]: 1*it(14)+0 0.03/0.26 with precondition: [J=2] 0.03/0.26 0.03/0.26 * Chain [15]: 0 0.03/0.26 with precondition: [J=2] 0.03/0.26 0.03/0.26 0.03/0.26 #### Cost of chains of f14_loop_cont(A,B,C,D,E,F,G,H,I): 0.03/0.26 * Chain [18]...: 1*s(2)+0 0.03/0.26 with precondition: [A=3,2*H+1=G,F>=1,H>=0] 0.03/0.26 0.03/0.26 * Chain [17]: 0 0.03/0.26 with precondition: [A=2,2*H+1=G,F>=1,H>=0] 0.03/0.26 0.03/0.26 * Chain [16]: 1*s(3)+0 0.03/0.26 with precondition: [A=3,2*H+1=G,F>=1,H>=0] 0.03/0.26 0.03/0.26 0.03/0.26 #### Cost of chains of f0(A,B,C,D,E,F,G,J): 0.03/0.26 * Chain [20]: 1*aux(6)+0 0.03/0.26 with precondition: [] 0.03/0.26 0.03/0.26 * Chain [19]...: 2*s(11)+1*s(14)+0 0.03/0.26 with precondition: [] 0.03/0.26 0.03/0.26 0.03/0.26 Closed-form bounds of f0(A,B,C,D,E,F,G,J): 0.03/0.26 ------------------------------------- 0.03/0.26 * Chain [20] with precondition: [] 0.03/0.26 - Upper bound: inf 0.03/0.26 - Complexity: infinity 0.03/0.26 * Chain [19]... with precondition: [] 0.03/0.26 - Upper bound: inf 0.03/0.26 - Complexity: infinity 0.03/0.26 0.03/0.26 ### Maximum cost of f0(A,B,C,D,E,F,G,J): inf 0.03/0.26 Asymptotic class: infinity 0.03/0.26 * Total analysis performed in 191 ms. 0.03/0.26 0.03/0.36 EOF