0.03/0.16 MAYBE 0.03/0.16 0.03/0.16 Preprocessing Cost Relations 0.03/0.16 ===================================== 0.03/0.16 0.03/0.16 #### Computed strongly connected components 0.03/0.16 0. recursive : [f2/6] 0.03/0.16 1. non_recursive : [exit_location/1] 0.03/0.16 2. non_recursive : [f300/4] 0.03/0.16 3. non_recursive : [f2_loop_cont/5] 0.03/0.16 4. non_recursive : [f1/4] 0.03/0.16 0.03/0.16 #### Obtained direct recursion through partial evaluation 0.03/0.16 0. SCC is partially evaluated into f2/6 0.03/0.16 1. SCC is completely evaluated into other SCCs 0.03/0.16 2. SCC is completely evaluated into other SCCs 0.03/0.16 3. SCC is partially evaluated into f2_loop_cont/5 0.03/0.16 4. SCC is partially evaluated into f1/4 0.03/0.16 0.03/0.16 Control-Flow Refinement of Cost Relations 0.03/0.16 ===================================== 0.03/0.16 0.03/0.16 ### Specialization of cost equations f2/6 0.03/0.16 * CE 5 is refined into CE [8] 0.03/0.16 * CE 4 is refined into CE [9] 0.03/0.16 * CE 3 is refined into CE [10] 0.03/0.16 * CE 2 is refined into CE [11] 0.03/0.16 0.03/0.16 0.03/0.16 ### Cost equations --> "Loop" of f2/6 0.03/0.16 * CEs [10] --> Loop 8 0.03/0.16 * CEs [11] --> Loop 9 0.03/0.16 * CEs [8] --> Loop 10 0.03/0.16 * CEs [9] --> Loop 11 0.03/0.16 0.03/0.16 ### Ranking functions of CR f2(A,B,C,E,F,G) 0.03/0.16 * RF of phase [9]: [-A+B] 0.03/0.16 0.03/0.16 #### Partial ranking functions of CR f2(A,B,C,E,F,G) 0.03/0.16 * Partial RF of phase [9]: 0.03/0.16 - RF of loop [9:1]: 0.03/0.16 -A+B 0.03/0.16 0.03/0.16 0.03/0.16 ### Specialization of cost equations f2_loop_cont/5 0.03/0.16 * CE 7 is refined into CE [12] 0.03/0.16 * CE 6 is refined into CE [13] 0.03/0.16 0.03/0.16 0.03/0.16 ### Cost equations --> "Loop" of f2_loop_cont/5 0.03/0.16 * CEs [12] --> Loop 12 0.03/0.16 * CEs [13] --> Loop 13 0.03/0.16 0.03/0.16 ### Ranking functions of CR f2_loop_cont(A,B,C,D,E) 0.03/0.16 0.03/0.16 #### Partial ranking functions of CR f2_loop_cont(A,B,C,D,E) 0.03/0.16 0.03/0.16 0.03/0.16 ### Specialization of cost equations f1/4 0.03/0.16 * CE 1 is refined into CE [14,15,16,17,18,19,20] 0.03/0.16 0.03/0.16 0.03/0.16 ### Cost equations --> "Loop" of f1/4 0.03/0.16 * CEs [19,20] --> Loop 14 0.03/0.16 * CEs [18] --> Loop 15 0.03/0.16 * CEs [15,17] --> Loop 16 0.03/0.16 * CEs [14] --> Loop 17 0.03/0.16 * CEs [16] --> Loop 18 0.03/0.16 0.03/0.16 ### Ranking functions of CR f1(A,B,C,E) 0.03/0.16 0.03/0.16 #### Partial ranking functions of CR f1(A,B,C,E) 0.03/0.16 0.03/0.16 0.03/0.16 Computing Bounds 0.03/0.16 ===================================== 0.03/0.16 0.03/0.16 #### Cost of chains of f2(A,B,C,E,F,G): 0.03/0.16 * Chain [[9],11]: 1*it(9)+0 0.03/0.16 Such that:it(9) =< -A+F 0.03/0.16 0.03/0.16 with precondition: [E=2,B=F,B>=A+1] 0.03/0.16 0.03/0.16 * Chain [[9],10]: 1*it(9)+0 0.03/0.16 Such that:it(9) =< -A+B 0.03/0.16 0.03/0.16 with precondition: [E=3,B>=A+1] 0.03/0.16 0.03/0.16 * Chain [[8]]...: 1*it(8)+0 0.03/0.16 with precondition: [A>=B+1] 0.03/0.16 0.03/0.16 * Chain [[8],10]: 1*it(8)+0 0.03/0.16 with precondition: [E=3,A>=B+1] 0.03/0.16 0.03/0.16 * Chain [11]: 0 0.03/0.16 with precondition: [E=2,A=B,A=F] 0.03/0.16 0.03/0.16 * Chain [10]: 0 0.03/0.16 with precondition: [E=3] 0.03/0.16 0.03/0.16 0.03/0.16 #### Cost of chains of f2_loop_cont(A,B,C,D,E): 0.03/0.16 * Chain [13]: 0 0.03/0.16 with precondition: [A=2] 0.03/0.16 0.03/0.16 * Chain [12]: 0 0.03/0.16 with precondition: [A=3] 0.03/0.16 0.03/0.16 0.03/0.16 #### Cost of chains of f1(A,B,C,E): 0.03/0.16 * Chain [18]: 0 0.03/0.16 with precondition: [] 0.03/0.16 0.03/0.16 * Chain [17]: 0 0.03/0.16 with precondition: [B=A] 0.03/0.16 0.03/0.16 * Chain [16]: 2*s(1)+0 0.03/0.16 Such that:aux(1) =< -A+B 0.03/0.16 s(1) =< aux(1) 0.03/0.16 0.03/0.16 with precondition: [B>=A+1] 0.03/0.16 0.03/0.16 * Chain [15]: 1*s(3)+0 0.03/0.16 with precondition: [A>=B+1] 0.03/0.16 0.03/0.16 * Chain [14]...: 1*aux(2)+0 0.03/0.16 with precondition: [A>=B+1] 0.03/0.16 0.03/0.16 0.03/0.16 Closed-form bounds of f1(A,B,C,E): 0.03/0.16 ------------------------------------- 0.03/0.16 * Chain [18] with precondition: [] 0.03/0.16 - Upper bound: 0 0.03/0.16 - Complexity: constant 0.03/0.16 * Chain [17] with precondition: [B=A] 0.03/0.16 - Upper bound: 0 0.03/0.16 - Complexity: constant 0.03/0.16 * Chain [16] with precondition: [B>=A+1] 0.03/0.16 - Upper bound: -2*A+2*B 0.03/0.16 - Complexity: n 0.03/0.16 * Chain [15] with precondition: [A>=B+1] 0.03/0.16 - Upper bound: inf 0.03/0.16 - Complexity: infinity 0.03/0.16 * Chain [14]... with precondition: [A>=B+1] 0.03/0.16 - Upper bound: inf 0.03/0.16 - Complexity: infinity 0.03/0.16 0.03/0.16 ### Maximum cost of f1(A,B,C,E): inf 0.03/0.16 Asymptotic class: infinity 0.03/0.16 * Total analysis performed in 103 ms. 0.03/0.16 0.03/0.26 EOF