0.03/0.25 MAYBE 0.03/0.25 0.03/0.25 Preprocessing Cost Relations 0.03/0.25 ===================================== 0.03/0.25 0.03/0.25 #### Computed strongly connected components 0.03/0.25 0. recursive : [f0/13] 0.03/0.25 1. non_recursive : [exit_location/1] 0.03/0.25 2. non_recursive : [f2/7] 0.03/0.25 3. non_recursive : [f0_loop_cont/8] 0.03/0.25 4. non_recursive : [f1/7] 0.03/0.25 0.03/0.25 #### Obtained direct recursion through partial evaluation 0.03/0.25 0. SCC is partially evaluated into f0/13 0.03/0.25 1. SCC is completely evaluated into other SCCs 0.03/0.25 2. SCC is completely evaluated into other SCCs 0.03/0.25 3. SCC is partially evaluated into f0_loop_cont/8 0.03/0.25 4. SCC is partially evaluated into f1/7 0.03/0.25 0.03/0.25 Control-Flow Refinement of Cost Relations 0.03/0.25 ===================================== 0.03/0.25 0.03/0.25 ### Specialization of cost equations f0/13 0.03/0.25 * CE 6 is refined into CE [9] 0.03/0.25 * CE 2 is refined into CE [10] 0.03/0.25 * CE 5 is refined into CE [11] 0.03/0.25 * CE 4 is refined into CE [12] 0.03/0.25 * CE 3 is refined into CE [13] 0.03/0.25 0.03/0.25 0.03/0.25 ### Cost equations --> "Loop" of f0/13 0.03/0.25 * CEs [11] --> Loop 9 0.03/0.25 * CEs [12] --> Loop 10 0.03/0.25 * CEs [13] --> Loop 11 0.03/0.25 * CEs [9] --> Loop 12 0.03/0.25 * CEs [10] --> Loop 13 0.03/0.25 0.03/0.25 ### Ranking functions of CR f0(A,B,C,D,E,F,J,K,L,M,N,O,P) 0.03/0.25 0.03/0.25 #### Partial ranking functions of CR f0(A,B,C,D,E,F,J,K,L,M,N,O,P) 0.03/0.25 * Partial RF of phase [9,10,11]: 0.03/0.25 - RF of loop [9:1,10:1]: 0.03/0.25 A 0.03/0.25 - RF of loop [11:1]: 0.03/0.25 C-2 depends on loops [9:1,10:1] 0.03/0.25 0.03/0.25 0.03/0.25 ### Specialization of cost equations f0_loop_cont/8 0.03/0.25 * CE 8 is refined into CE [14] 0.03/0.25 * CE 7 is refined into CE [15] 0.03/0.25 0.03/0.25 0.03/0.25 ### Cost equations --> "Loop" of f0_loop_cont/8 0.03/0.25 * CEs [14] --> Loop 14 0.03/0.25 * CEs [15] --> Loop 15 0.03/0.25 0.03/0.25 ### Ranking functions of CR f0_loop_cont(A,B,C,D,E,F,G,H) 0.03/0.25 0.03/0.25 #### Partial ranking functions of CR f0_loop_cont(A,B,C,D,E,F,G,H) 0.03/0.25 0.03/0.25 0.03/0.25 ### Specialization of cost equations f1/7 0.03/0.25 * CE 1 is refined into CE [16,17,18,19] 0.03/0.25 0.03/0.25 0.03/0.25 ### Cost equations --> "Loop" of f1/7 0.03/0.25 * CEs [16,19] --> Loop 16 0.03/0.25 * CEs [17] --> Loop 17 0.03/0.25 * CEs [18] --> Loop 18 0.03/0.25 0.03/0.25 ### Ranking functions of CR f1(A,B,C,D,E,F,J) 0.03/0.25 0.03/0.25 #### Partial ranking functions of CR f1(A,B,C,D,E,F,J) 0.03/0.25 0.03/0.25 0.03/0.25 Computing Bounds 0.03/0.25 ===================================== 0.03/0.25 0.03/0.25 #### Cost of chains of f0(A,B,C,D,E,F,J,K,L,M,N,O,P): 0.03/0.25 * Chain [[9,10,11],13]: 2*it(9)+1*it(11)+0 0.03/0.25 Such that:aux(3) =< A 0.03/0.25 it(9) =< aux(3) 0.03/0.25 0.03/0.25 with precondition: [J=2,K=0,A>=1] 0.03/0.25 0.03/0.25 * Chain [[9,10,11],12]: 2*it(9)+1*it(11)+0 0.03/0.25 Such that:aux(4) =< A 0.03/0.25 it(9) =< aux(4) 0.03/0.25 0.03/0.25 with precondition: [J=3,A>=1] 0.03/0.25 0.03/0.25 * Chain [13]: 0 0.03/0.25 with precondition: [J=2,M=C,N=D,O=E,P=F,A=K,0>=A] 0.03/0.25 0.03/0.25 * Chain [12]: 0 0.03/0.25 with precondition: [J=3] 0.03/0.25 0.03/0.25 0.03/0.25 #### Cost of chains of f0_loop_cont(A,B,C,D,E,F,G,H): 0.03/0.25 * Chain [15]: 0 0.03/0.25 with precondition: [A=2] 0.03/0.25 0.03/0.25 * Chain [14]: 0 0.03/0.25 with precondition: [A=3] 0.03/0.25 0.03/0.25 0.03/0.25 #### Cost of chains of f1(A,B,C,D,E,F,J): 0.03/0.25 * Chain [18]: 0 0.03/0.25 with precondition: [] 0.03/0.25 0.03/0.25 * Chain [17]: 0 0.03/0.25 with precondition: [0>=A] 0.03/0.25 0.03/0.25 * Chain [16]: 4*s(2)+2*s(3)+0 0.03/0.25 Such that:aux(5) =< A 0.03/0.25 s(2) =< aux(5) 0.03/0.25 0.03/0.25 with precondition: [A>=1] 0.03/0.25 0.03/0.25 0.03/0.25 Closed-form bounds of f1(A,B,C,D,E,F,J): 0.03/0.25 ------------------------------------- 0.03/0.25 * Chain [18] with precondition: [] 0.03/0.25 - Upper bound: 0 0.03/0.25 - Complexity: constant 0.03/0.25 * Chain [17] with precondition: [0>=A] 0.03/0.25 - Upper bound: 0 0.03/0.25 - Complexity: constant 0.03/0.25 * Chain [16] with precondition: [A>=1] 0.03/0.25 - Upper bound: inf 0.03/0.25 - Complexity: infinity 0.03/0.25 0.03/0.25 ### Maximum cost of f1(A,B,C,D,E,F,J): inf 0.03/0.25 Asymptotic class: infinity 0.03/0.25 * Total analysis performed in 183 ms. 0.03/0.25 0.03/0.35 EOF