0.03/0.18 MAYBE 0.03/0.18 0.03/0.18 Preprocessing Cost Relations 0.03/0.18 ===================================== 0.03/0.18 0.03/0.18 #### Computed strongly connected components 0.03/0.18 0. recursive : [g/7] 0.03/0.18 1. non_recursive : [exit_location/1] 0.03/0.18 2. recursive : [h/2] 0.03/0.18 3. non_recursive : [h_loop_cont/2] 0.03/0.18 4. non_recursive : [g_loop_cont/5] 0.03/0.18 5. non_recursive : [f/4] 0.03/0.18 0.03/0.18 #### Obtained direct recursion through partial evaluation 0.03/0.18 0. SCC is partially evaluated into g/7 0.03/0.18 1. SCC is completely evaluated into other SCCs 0.03/0.18 2. SCC is partially evaluated into h/2 0.03/0.18 3. SCC is completely evaluated into other SCCs 0.03/0.18 4. SCC is partially evaluated into g_loop_cont/5 0.03/0.18 5. SCC is partially evaluated into f/4 0.03/0.18 0.03/0.18 Control-Flow Refinement of Cost Relations 0.03/0.18 ===================================== 0.03/0.18 0.03/0.18 ### Specialization of cost equations g/7 0.03/0.18 * CE 3 is refined into CE [9] 0.03/0.18 * CE 4 is refined into CE [10] 0.03/0.18 * CE 2 is refined into CE [11] 0.03/0.18 0.03/0.18 0.03/0.18 ### Cost equations --> "Loop" of g/7 0.03/0.18 * CEs [11] --> Loop 9 0.03/0.18 * CEs [9] --> Loop 10 0.03/0.18 * CEs [10] --> Loop 11 0.03/0.18 0.03/0.18 ### Ranking functions of CR g(A,B,C,D,E,F,G) 0.03/0.18 * RF of phase [9]: [C] 0.03/0.18 0.03/0.18 #### Partial ranking functions of CR g(A,B,C,D,E,F,G) 0.03/0.18 * Partial RF of phase [9]: 0.03/0.18 - RF of loop [9:1]: 0.03/0.18 C 0.03/0.18 0.03/0.18 0.03/0.18 ### Specialization of cost equations h/2 0.03/0.18 * CE 8 is refined into CE [12] 0.03/0.18 * CE 7 is refined into CE [13] 0.03/0.18 0.03/0.18 0.03/0.18 ### Cost equations --> "Loop" of h/2 0.03/0.18 * CEs [13] --> Loop 12 0.03/0.18 * CEs [12] --> Loop 13 0.03/0.18 0.03/0.18 ### Ranking functions of CR h(B,D) 0.03/0.18 * RF of phase [12]: [B] 0.03/0.18 0.03/0.18 #### Partial ranking functions of CR h(B,D) 0.03/0.18 * Partial RF of phase [12]: 0.03/0.18 - RF of loop [12:1]: 0.03/0.18 B 0.03/0.18 0.03/0.18 0.03/0.18 ### Specialization of cost equations g_loop_cont/5 0.03/0.18 * CE 6 is refined into CE [14,15] 0.03/0.18 * CE 5 is refined into CE [16] 0.03/0.18 0.03/0.18 0.03/0.18 ### Cost equations --> "Loop" of g_loop_cont/5 0.03/0.18 * CEs [15] --> Loop 14 0.03/0.18 * CEs [14] --> Loop 15 0.03/0.18 * CEs [16] --> Loop 16 0.03/0.18 0.03/0.18 ### Ranking functions of CR g_loop_cont(A,B,C,D,E) 0.03/0.18 0.03/0.18 #### Partial ranking functions of CR g_loop_cont(A,B,C,D,E) 0.03/0.18 0.03/0.18 0.03/0.18 ### Specialization of cost equations f/4 0.03/0.18 * CE 1 is refined into CE [17,18,19,20,21,22] 0.03/0.18 0.03/0.18 0.03/0.18 ### Cost equations --> "Loop" of f/4 0.03/0.18 * CEs [18,19,20] --> Loop 17 0.03/0.18 * CEs [21,22] --> Loop 18 0.03/0.18 * CEs [17] --> Loop 19 0.03/0.18 0.03/0.18 ### Ranking functions of CR f(A,B,C,D) 0.03/0.18 0.03/0.18 #### Partial ranking functions of CR f(A,B,C,D) 0.03/0.18 0.03/0.18 0.03/0.18 Computing Bounds 0.03/0.18 ===================================== 0.03/0.18 0.03/0.18 #### Cost of chains of g(A,B,C,D,E,F,G): 0.03/0.18 * Chain [[9],11]: 1*it(9)+0 0.03/0.18 Such that:it(9) =< C 0.03/0.18 0.03/0.18 with precondition: [D=2,A=B,A>=1,C>=1] 0.03/0.18 0.03/0.18 * Chain [[9],10]: 1*it(9)+0 0.03/0.18 Such that:it(9) =< C 0.03/0.18 0.03/0.18 with precondition: [D=3,G=0,A=B,E=F,A>=1,C>=1,E+2>=2*A+2*C] 0.03/0.18 0.03/0.18 * Chain [11]: 0 0.03/0.18 with precondition: [D=2,B=A,B>=1] 0.03/0.18 0.03/0.18 * Chain [10]: 0 0.03/0.18 with precondition: [D=3,B=A,B=E,B=F,C=G,0>=C,B>=1] 0.03/0.18 0.03/0.18 0.03/0.18 #### Cost of chains of h(B,D): 0.03/0.18 * Chain [[12],13]: 1*it(12)+0 0.03/0.18 Such that:it(12) =< B 0.03/0.18 0.03/0.18 with precondition: [D=2,B>=1] 0.03/0.18 0.03/0.18 * Chain [13]: 0 0.03/0.18 with precondition: [D=2] 0.03/0.18 0.03/0.18 0.03/0.18 #### Cost of chains of g_loop_cont(A,B,C,D,E): 0.03/0.18 * Chain [16]: 0 0.03/0.18 with precondition: [A=2] 0.03/0.18 0.03/0.18 * Chain [15]: 0 0.03/0.18 with precondition: [A=3] 0.03/0.18 0.03/0.18 * Chain [14]: 1*s(1)+0 0.03/0.18 Such that:s(1) =< C 0.03/0.18 0.03/0.18 with precondition: [A=3,C>=1] 0.03/0.18 0.03/0.18 0.03/0.18 #### Cost of chains of f(A,B,C,D): 0.03/0.18 * Chain [19]: 0 0.03/0.18 with precondition: [] 0.03/0.18 0.03/0.18 * Chain [18]: 1 0.03/0.18 with precondition: [0>=C] 0.03/0.18 0.03/0.18 * Chain [17]: 3*s(3)+1*s(6)+0 0.03/0.18 Such that:aux(1) =< C 0.03/0.18 s(3) =< aux(1) 0.03/0.18 0.03/0.18 with precondition: [C>=1] 0.03/0.18 0.03/0.18 0.03/0.18 Closed-form bounds of f(A,B,C,D): 0.03/0.18 ------------------------------------- 0.03/0.18 * Chain [19] with precondition: [] 0.03/0.18 - Upper bound: 0 0.03/0.18 - Complexity: constant 0.03/0.18 * Chain [18] with precondition: [0>=C] 0.03/0.18 - Upper bound: 1 0.03/0.18 - Complexity: constant 0.03/0.18 * Chain [17] with precondition: [C>=1] 0.03/0.18 - Upper bound: inf 0.03/0.18 - Complexity: infinity 0.03/0.18 0.03/0.18 ### Maximum cost of f(A,B,C,D): inf 0.03/0.18 Asymptotic class: infinity 0.03/0.18 * Total analysis performed in 116 ms. 0.03/0.18 0.03/0.28 EOF