0.03/0.36 MAYBE 0.03/0.36 0.03/0.36 Preprocessing Cost Relations 0.03/0.36 ===================================== 0.03/0.36 0.03/0.36 #### Computed strongly connected components 0.03/0.36 0. recursive : [f300/9] 0.03/0.36 1. non_recursive : [exit_location/1] 0.03/0.36 2. non_recursive : [f1/5] 0.03/0.36 3. non_recursive : [f300_loop_cont/6] 0.03/0.36 4. non_recursive : [f2/5] 0.03/0.36 0.03/0.36 #### Obtained direct recursion through partial evaluation 0.03/0.36 0. SCC is partially evaluated into f300/9 0.03/0.36 1. SCC is completely evaluated into other SCCs 0.03/0.36 2. SCC is completely evaluated into other SCCs 0.03/0.36 3. SCC is partially evaluated into f300_loop_cont/6 0.03/0.36 4. SCC is partially evaluated into f2/5 0.03/0.36 0.03/0.36 Control-Flow Refinement of Cost Relations 0.03/0.36 ===================================== 0.03/0.36 0.03/0.36 ### Specialization of cost equations f300/9 0.03/0.36 * CE 7 is refined into CE [10] 0.03/0.36 * CE 6 is refined into CE [11] 0.03/0.36 * CE 5 is refined into CE [12] 0.03/0.36 * CE 2 is refined into CE [13] 0.03/0.36 * CE 3 is refined into CE [14] 0.03/0.36 * CE 4 is refined into CE [15] 0.03/0.36 0.03/0.36 0.03/0.36 ### Cost equations --> "Loop" of f300/9 0.03/0.36 * CEs [13] --> Loop 10 0.03/0.36 * CEs [14] --> Loop 11 0.03/0.36 * CEs [15] --> Loop 12 0.03/0.36 * CEs [10] --> Loop 13 0.03/0.36 * CEs [11] --> Loop 14 0.03/0.36 * CEs [12] --> Loop 15 0.03/0.36 0.03/0.36 ### Ranking functions of CR f300(A,B,C,D,F,G,H,I,J) 0.03/0.36 0.03/0.36 #### Partial ranking functions of CR f300(A,B,C,D,F,G,H,I,J) 0.03/0.36 * Partial RF of phase [10,11,12]: 0.03/0.36 - RF of loop [10:1,11:1]: 0.03/0.36 B depends on loops [12:1] 0.03/0.36 - RF of loop [12:1]: 0.03/0.36 A depends on loops [10:1,11:1] 0.03/0.36 0.03/0.36 0.03/0.36 ### Specialization of cost equations f300_loop_cont/6 0.03/0.36 * CE 9 is refined into CE [16] 0.03/0.36 * CE 8 is refined into CE [17] 0.03/0.36 0.03/0.36 0.03/0.36 ### Cost equations --> "Loop" of f300_loop_cont/6 0.03/0.36 * CEs [16] --> Loop 16 0.03/0.36 * CEs [17] --> Loop 17 0.03/0.36 0.03/0.36 ### Ranking functions of CR f300_loop_cont(A,B,C,D,E,F) 0.03/0.36 0.03/0.36 #### Partial ranking functions of CR f300_loop_cont(A,B,C,D,E,F) 0.03/0.36 0.03/0.36 0.03/0.36 ### Specialization of cost equations f2/5 0.03/0.36 * CE 1 is refined into CE [18,19,20,21,22,23,24] 0.03/0.36 0.03/0.36 0.03/0.36 ### Cost equations --> "Loop" of f2/5 0.03/0.36 * CEs [23,24] --> Loop 18 0.03/0.36 * CEs [20,22] --> Loop 19 0.03/0.36 * CEs [18] --> Loop 20 0.03/0.36 * CEs [19] --> Loop 21 0.03/0.36 * CEs [21] --> Loop 22 0.03/0.36 0.03/0.36 ### Ranking functions of CR f2(A,B,C,D,F) 0.03/0.36 0.03/0.36 #### Partial ranking functions of CR f2(A,B,C,D,F) 0.03/0.36 0.03/0.36 0.03/0.36 Computing Bounds 0.03/0.36 ===================================== 0.03/0.36 0.03/0.36 #### Cost of chains of f300(A,B,C,D,F,G,H,I,J): 0.03/0.36 * Chain [[10,11,12]]...: 3*it(10)+0 0.03/0.36 with precondition: [B>=1,A>=1] 0.03/0.36 0.03/0.36 * Chain [[10,11,12],14]: 3*it(10)+0 0.03/0.36 with precondition: [F=2,0>=H,A>=1,B>=1,G>=0,H+1>=G] 0.03/0.36 0.03/0.36 * Chain [[10,11,12],13]: 3*it(10)+0 0.03/0.36 with precondition: [F=3,A>=1,B>=1] 0.03/0.36 0.03/0.36 * Chain [15]: 0 0.03/0.36 with precondition: [F=2,I=C,A=G,B=H,0>=A,B>=1] 0.03/0.36 0.03/0.36 * Chain [14]: 0 0.03/0.36 with precondition: [F=2,G=A,I=C,B=H,0>=B] 0.03/0.36 0.03/0.36 * Chain [13]: 0 0.03/0.36 with precondition: [F=3] 0.03/0.36 0.03/0.36 0.03/0.36 #### Cost of chains of f300_loop_cont(A,B,C,D,E,F): 0.03/0.36 * Chain [17]: 0 0.03/0.36 with precondition: [A=2] 0.03/0.36 0.03/0.36 * Chain [16]: 0 0.03/0.36 with precondition: [A=3] 0.03/0.36 0.03/0.36 0.03/0.36 #### Cost of chains of f2(A,B,C,D,F): 0.03/0.36 * Chain [22]: 0 0.03/0.36 with precondition: [] 0.03/0.36 0.03/0.36 * Chain [21]: 0 0.03/0.36 with precondition: [0>=A,B>=1] 0.03/0.36 0.03/0.36 * Chain [20]: 0 0.03/0.36 with precondition: [0>=B] 0.03/0.36 0.03/0.36 * Chain [19]: 1*aux(28)+0 0.03/0.36 with precondition: [A>=1,B>=1] 0.03/0.36 0.03/0.36 * Chain [18]...: 1*aux(29)+0 0.03/0.36 with precondition: [A>=1,B>=1] 0.03/0.36 0.03/0.36 0.03/0.36 Closed-form bounds of f2(A,B,C,D,F): 0.03/0.36 ------------------------------------- 0.03/0.36 * Chain [22] with precondition: [] 0.03/0.36 - Upper bound: 0 0.03/0.36 - Complexity: constant 0.03/0.36 * Chain [21] with precondition: [0>=A,B>=1] 0.03/0.36 - Upper bound: 0 0.03/0.36 - Complexity: constant 0.03/0.36 * Chain [20] with precondition: [0>=B] 0.03/0.36 - Upper bound: 0 0.03/0.36 - Complexity: constant 0.03/0.36 * Chain [19] with precondition: [A>=1,B>=1] 0.03/0.36 - Upper bound: inf 0.03/0.36 - Complexity: infinity 0.03/0.36 * Chain [18]... with precondition: [A>=1,B>=1] 0.03/0.36 - Upper bound: inf 0.03/0.36 - Complexity: infinity 0.03/0.36 0.03/0.36 ### Maximum cost of f2(A,B,C,D,F): inf 0.03/0.36 Asymptotic class: infinity 0.03/0.36 * Total analysis performed in 280 ms. 0.03/0.36 0.03/0.46 EOF