0.04/0.22 MAYBE 0.04/0.22 0.04/0.22 Preprocessing Cost Relations 0.04/0.22 ===================================== 0.04/0.22 0.04/0.22 #### Computed strongly connected components 0.04/0.22 0. recursive : [evalfbb1in/4,evalfbb2in/4,evalfbb3in/4,evalfbb4in/4,evalfbbin/4] 0.04/0.22 1. non_recursive : [evalfstop/3] 0.04/0.22 2. non_recursive : [evalfreturnin/3] 0.04/0.22 3. non_recursive : [exit_location/1] 0.04/0.22 4. non_recursive : [evalfbb3in_loop_cont/4] 0.04/0.22 5. non_recursive : [evalfentryin/3] 0.04/0.22 6. non_recursive : [evalfstart/3] 0.04/0.22 0.04/0.22 #### Obtained direct recursion through partial evaluation 0.04/0.22 0. SCC is partially evaluated into evalfbb3in/4 0.04/0.22 1. SCC is completely evaluated into other SCCs 0.04/0.22 2. SCC is completely evaluated into other SCCs 0.04/0.22 3. SCC is completely evaluated into other SCCs 0.04/0.22 4. SCC is partially evaluated into evalfbb3in_loop_cont/4 0.04/0.22 5. SCC is partially evaluated into evalfentryin/3 0.04/0.22 6. SCC is partially evaluated into evalfstart/3 0.04/0.22 0.04/0.22 Control-Flow Refinement of Cost Relations 0.04/0.22 ===================================== 0.04/0.22 0.04/0.22 ### Specialization of cost equations evalfbb3in/4 0.04/0.22 * CE 7 is refined into CE [10] 0.04/0.22 * CE 3 is refined into CE [11] 0.04/0.22 * CE 6 is refined into CE [12] 0.04/0.22 * CE 4 is refined into CE [13] 0.04/0.22 * CE 5 is refined into CE [14] 0.04/0.22 0.04/0.22 0.04/0.22 ### Cost equations --> "Loop" of evalfbb3in/4 0.04/0.22 * CEs [13] --> Loop 10 0.04/0.22 * CEs [14] --> Loop 11 0.04/0.22 * CEs [10] --> Loop 12 0.04/0.22 * CEs [11] --> Loop 13 0.04/0.22 * CEs [12] --> Loop 14 0.04/0.22 0.04/0.22 ### Ranking functions of CR evalfbb3in(A,B,D,E) 0.04/0.22 0.04/0.22 #### Partial ranking functions of CR evalfbb3in(A,B,D,E) 0.04/0.22 * Partial RF of phase [10,11]: 0.04/0.22 - RF of loop [10:1]: 0.04/0.22 A depends on loops [11:1] 0.04/0.22 A-B+1 depends on loops [11:1] 0.04/0.22 - RF of loop [11:1]: 0.04/0.22 -A+B depends on loops [10:1] 0.04/0.22 0.04/0.22 0.04/0.22 ### Specialization of cost equations evalfbb3in_loop_cont/4 0.04/0.22 * CE 9 is refined into CE [15] 0.04/0.22 * CE 8 is refined into CE [16] 0.04/0.22 0.04/0.22 0.04/0.22 ### Cost equations --> "Loop" of evalfbb3in_loop_cont/4 0.04/0.22 * CEs [15] --> Loop 15 0.04/0.22 * CEs [16] --> Loop 16 0.04/0.22 0.04/0.22 ### Ranking functions of CR evalfbb3in_loop_cont(A,B,C,D) 0.04/0.22 0.04/0.22 #### Partial ranking functions of CR evalfbb3in_loop_cont(A,B,C,D) 0.04/0.22 0.04/0.22 0.04/0.22 ### Specialization of cost equations evalfentryin/3 0.04/0.22 * CE 2 is refined into CE [17,18,19,20,21,22,23] 0.04/0.22 0.04/0.22 0.04/0.22 ### Cost equations --> "Loop" of evalfentryin/3 0.04/0.22 * CEs [22,23] --> Loop 17 0.04/0.22 * CEs [17,18,19,20,21] --> Loop 18 0.04/0.22 0.04/0.22 ### Ranking functions of CR evalfentryin(A,B,D) 0.04/0.22 0.04/0.22 #### Partial ranking functions of CR evalfentryin(A,B,D) 0.04/0.22 0.04/0.22 0.04/0.22 ### Specialization of cost equations evalfstart/3 0.04/0.22 * CE 1 is refined into CE [24,25] 0.04/0.22 0.04/0.22 0.04/0.22 ### Cost equations --> "Loop" of evalfstart/3 0.04/0.22 * CEs [25] --> Loop 19 0.04/0.22 * CEs [24] --> Loop 20 0.04/0.22 0.04/0.22 ### Ranking functions of CR evalfstart(A,B,D) 0.04/0.22 0.04/0.22 #### Partial ranking functions of CR evalfstart(A,B,D) 0.04/0.22 0.04/0.22 0.04/0.22 Computing Bounds 0.04/0.22 ===================================== 0.04/0.22 0.04/0.22 #### Cost of chains of evalfbb3in(A,B,D,E): 0.04/0.22 * Chain [[10,11]]...: 2*it(10)+0 0.04/0.22 with precondition: [B>=1,A>=1] 0.04/0.22 0.04/0.22 * Chain [[10,11],14]: 2*it(10)+0 0.04/0.22 with precondition: [D=2,E=0,A>=1,B>=1] 0.04/0.22 0.04/0.22 * Chain [[10,11],13]: 2*it(10)+0 0.04/0.22 with precondition: [D=2,A>=1,B>=1,E>=1,A+B>=3] 0.04/0.22 0.04/0.22 * Chain [[10,11],12]: 2*it(10)+0 0.04/0.22 with precondition: [D=3,A>=1,B>=1] 0.04/0.22 0.04/0.22 * Chain [13]: 0 0.04/0.22 with precondition: [D=2,A=E,A>=1,B>=1] 0.04/0.22 0.04/0.22 * Chain [12]: 0 0.04/0.22 with precondition: [D=3,B>=1] 0.04/0.22 0.04/0.22 0.04/0.22 #### Cost of chains of evalfbb3in_loop_cont(A,B,C,D): 0.04/0.22 * Chain [16]: 0 0.04/0.22 with precondition: [A=2,C>=1] 0.04/0.22 0.04/0.22 * Chain [15]: 0 0.04/0.22 with precondition: [A=3,C>=1] 0.04/0.22 0.04/0.22 0.04/0.22 #### Cost of chains of evalfentryin(A,B,D): 0.04/0.22 * Chain [18]: 1*aux(15)+0 0.04/0.22 with precondition: [A>=1,B>=A+1] 0.04/0.22 0.04/0.22 * Chain [17]...: 1*aux(16)+0 0.04/0.22 with precondition: [A>=1,B>=A+1] 0.04/0.22 0.04/0.22 0.04/0.22 #### Cost of chains of evalfstart(A,B,D): 0.04/0.22 * Chain [20]: 1*s(6)+0 0.04/0.22 with precondition: [A>=1,B>=A+1] 0.04/0.22 0.04/0.22 * Chain [19]...: 1*s(7)+0 0.04/0.22 with precondition: [A>=1,B>=A+1] 0.04/0.22 0.04/0.22 0.04/0.22 Closed-form bounds of evalfstart(A,B,D): 0.04/0.22 ------------------------------------- 0.04/0.22 * Chain [20] with precondition: [A>=1,B>=A+1] 0.04/0.22 - Upper bound: inf 0.04/0.22 - Complexity: infinity 0.04/0.22 * Chain [19]... with precondition: [A>=1,B>=A+1] 0.04/0.22 - Upper bound: inf 0.04/0.22 - Complexity: infinity 0.04/0.22 0.04/0.22 ### Maximum cost of evalfstart(A,B,D): inf 0.04/0.22 Asymptotic class: infinity 0.04/0.22 * Total analysis performed in 150 ms. 0.04/0.22 0.04/0.32 EOF