0.04/0.40 MAYBE 0.04/0.40 0.04/0.40 Preprocessing Cost Relations 0.04/0.40 ===================================== 0.04/0.40 0.04/0.40 #### Computed strongly connected components 0.04/0.40 0. recursive : [evalEx2bb1in/9,evalEx2bb2in/9] 0.04/0.40 1. recursive : [evalEx2bb2in_loop_cont/10,evalEx2bb3in/9,evalEx2bbin/9] 0.04/0.40 2. non_recursive : [evalEx2stop/5] 0.04/0.40 3. non_recursive : [evalEx2returnin/5] 0.04/0.40 4. non_recursive : [exit_location/1] 0.04/0.40 5. non_recursive : [evalEx2bb3in_loop_cont/6] 0.04/0.40 6. non_recursive : [evalEx2entryin/5] 0.04/0.40 7. non_recursive : [evalEx2start/5] 0.04/0.40 0.04/0.40 #### Obtained direct recursion through partial evaluation 0.04/0.40 0. SCC is partially evaluated into evalEx2bb2in/9 0.04/0.40 1. SCC is partially evaluated into evalEx2bb3in/9 0.04/0.40 2. SCC is completely evaluated into other SCCs 0.04/0.40 3. SCC is completely evaluated into other SCCs 0.04/0.40 4. SCC is completely evaluated into other SCCs 0.04/0.40 5. SCC is partially evaluated into evalEx2bb3in_loop_cont/6 0.04/0.40 6. SCC is partially evaluated into evalEx2entryin/5 0.04/0.40 7. SCC is partially evaluated into evalEx2start/5 0.04/0.40 0.04/0.40 Control-Flow Refinement of Cost Relations 0.04/0.40 ===================================== 0.04/0.40 0.04/0.40 ### Specialization of cost equations evalEx2bb2in/9 0.04/0.40 * CE 12 is refined into CE [13] 0.04/0.40 * CE 11 is refined into CE [14] 0.04/0.40 * CE 10 is refined into CE [15] 0.04/0.40 0.04/0.40 0.04/0.40 ### Cost equations --> "Loop" of evalEx2bb2in/9 0.04/0.40 * CEs [15] --> Loop 13 0.04/0.40 * CEs [13] --> Loop 14 0.04/0.40 * CEs [14] --> Loop 15 0.04/0.40 0.04/0.40 ### Ranking functions of CR evalEx2bb2in(A,B,C,D,F,G,H,I,J) 0.04/0.40 0.04/0.40 #### Partial ranking functions of CR evalEx2bb2in(A,B,C,D,F,G,H,I,J) 0.04/0.40 0.04/0.40 0.04/0.40 ### Specialization of cost equations evalEx2bb3in/9 0.04/0.40 * CE 5 is refined into CE [16] 0.04/0.40 * CE 6 is refined into CE [17] 0.04/0.40 * CE 3 is refined into CE [18,19,20] 0.04/0.40 * CE 7 is refined into CE [21] 0.04/0.40 * CE 4 is refined into CE [22,23,24] 0.04/0.40 0.04/0.40 0.04/0.40 ### Cost equations --> "Loop" of evalEx2bb3in/9 0.04/0.40 * CEs [24] --> Loop 16 0.04/0.40 * CEs [23] --> Loop 17 0.04/0.40 * CEs [22] --> Loop 18 0.04/0.40 * CEs [16] --> Loop 19 0.04/0.40 * CEs [17] --> Loop 20 0.04/0.40 * CEs [18,19] --> Loop 21 0.04/0.40 * CEs [21] --> Loop 22 0.04/0.40 * CEs [20] --> Loop 23 0.04/0.40 0.04/0.40 ### Ranking functions of CR evalEx2bb3in(A,B,C,D,F,G,H,I,J) 0.04/0.40 0.04/0.40 #### Partial ranking functions of CR evalEx2bb3in(A,B,C,D,F,G,H,I,J) 0.04/0.40 * Partial RF of phase [16,17,18]: 0.04/0.40 - RF of loop [17:1]: 0.04/0.40 A/2+B/2-1/2 depends on loops [16:1] 0.04/0.40 B/2 depends on loops [16:1] 0.04/0.40 - RF of loop [18:1]: 0.04/0.40 A depends on loops [16:1,17:1] 0.04/0.40 B depends on loops [16:1] 0.04/0.40 0.04/0.40 0.04/0.40 ### Specialization of cost equations evalEx2bb3in_loop_cont/6 0.04/0.40 * CE 8 is refined into CE [25] 0.04/0.40 * CE 9 is refined into CE [26] 0.04/0.40 0.04/0.40 0.04/0.40 ### Cost equations --> "Loop" of evalEx2bb3in_loop_cont/6 0.04/0.40 * CEs [25] --> Loop 24 0.04/0.40 * CEs [26] --> Loop 25 0.04/0.40 0.04/0.40 ### Ranking functions of CR evalEx2bb3in_loop_cont(A,B,C,D,E,F) 0.04/0.40 0.04/0.40 #### Partial ranking functions of CR evalEx2bb3in_loop_cont(A,B,C,D,E,F) 0.04/0.40 0.04/0.40 0.04/0.40 ### Specialization of cost equations evalEx2entryin/5 0.04/0.40 * CE 2 is refined into CE [27,28,29,30,31,32,33,34,35] 0.04/0.40 0.04/0.40 0.04/0.40 ### Cost equations --> "Loop" of evalEx2entryin/5 0.04/0.40 * CEs [33,34,35] --> Loop 26 0.04/0.40 * CEs [28,31,32] --> Loop 27 0.04/0.40 * CEs [30] --> Loop 28 0.04/0.40 * CEs [29] --> Loop 29 0.04/0.40 * CEs [27] --> Loop 30 0.04/0.40 0.04/0.40 ### Ranking functions of CR evalEx2entryin(A,B,C,D,F) 0.04/0.40 0.04/0.40 #### Partial ranking functions of CR evalEx2entryin(A,B,C,D,F) 0.04/0.40 0.04/0.40 0.04/0.40 ### Specialization of cost equations evalEx2start/5 0.04/0.40 * CE 1 is refined into CE [36,37,38,39,40] 0.04/0.40 0.04/0.40 0.04/0.40 ### Cost equations --> "Loop" of evalEx2start/5 0.04/0.40 * CEs [40] --> Loop 31 0.04/0.40 * CEs [39] --> Loop 32 0.04/0.40 * CEs [38] --> Loop 33 0.04/0.40 * CEs [37] --> Loop 34 0.04/0.40 * CEs [36] --> Loop 35 0.04/0.40 0.04/0.40 ### Ranking functions of CR evalEx2start(A,B,C,D,F) 0.04/0.40 0.04/0.40 #### Partial ranking functions of CR evalEx2start(A,B,C,D,F) 0.04/0.40 0.04/0.40 0.04/0.40 Computing Bounds 0.04/0.40 ===================================== 0.04/0.40 0.04/0.40 #### Cost of chains of evalEx2bb2in(A,B,C,D,F,G,H,I,J): 0.04/0.40 * Chain [[13]]...: 1*it(13)+0 0.04/0.40 with precondition: [C+1>=A,B>=1,A>=1,A+B=C+D+2,F>=2,3>=F] 0.04/0.40 0.04/0.40 * Chain [[13],15]: 1*it(13)+0 0.04/0.40 with precondition: [F=2,G=I,A+B=C+D+2,A+B=G+H+2,A+B=G+J+2,A>=1,B>=1,C+1>=A,G>=C+1] 0.04/0.40 0.04/0.40 * Chain [[13],14]: 1*it(13)+0 0.04/0.40 with precondition: [F=3,A+B=C+D+2,A>=1,B>=1,C+1>=A] 0.04/0.40 0.04/0.40 * Chain [15]: 0 0.04/0.40 with precondition: [F=2,C=G,D=H,C=I,D=J,C+D+2=A+B,A>=1,C+1>=A,C+D+1>=A] 0.04/0.40 0.04/0.40 * Chain [14]: 0 0.04/0.40 with precondition: [F=3,C+D+2=A+B,A>=1,C+1>=A,C+D+1>=A] 0.04/0.40 0.04/0.40 0.04/0.40 #### Cost of chains of evalEx2bb3in(A,B,C,D,F,G,H,I,J): 0.04/0.40 * Chain [[16,17,18]]...: 5*it(16)+0 0.04/0.40 with precondition: [A>=1,B>=1] 0.04/0.40 0.04/0.40 * Chain [[16,17,18],23]...: 6*it(16)+0 0.04/0.40 with precondition: [F=3,A>=1,B>=1] 0.04/0.40 0.04/0.40 * Chain [[16,17,18],22]: 5*it(16)+0 0.04/0.40 with precondition: [F=3,A>=1,B>=1] 0.04/0.40 0.04/0.40 * Chain [[16,17,18],21]: 6*aux(1)+0 0.04/0.40 with precondition: [F=3,A>=1,B>=1] 0.04/0.40 0.04/0.40 * Chain [[16,17,18],20]: 5*it(16)+0 0.04/0.40 with precondition: [F=4,0>=G,A>=1,B>=1] 0.04/0.40 0.04/0.40 * Chain [[16,17,18],19]: 5*it(16)+0 0.04/0.40 with precondition: [F=4,0>=H,A>=1,B>=1] 0.04/0.40 0.04/0.40 * Chain [23]...: 1*s(7)+0 0.04/0.40 with precondition: [F=3,A>=1,B>=1] 0.04/0.40 0.04/0.40 * Chain [22]: 0 0.04/0.40 with precondition: [F=3] 0.04/0.40 0.04/0.40 * Chain [21]: 1*aux(1)+0 0.04/0.40 with precondition: [F=3,A>=1,B>=1] 0.04/0.40 0.04/0.40 * Chain [20]: 0 0.04/0.40 with precondition: [F=4,H=B,I=C,J=D,A=G,0>=A] 0.04/0.40 0.04/0.40 * Chain [19]: 0 0.04/0.40 with precondition: [F=4,G=A,I=C,J=D,B=H,0>=B] 0.04/0.40 0.04/0.40 0.04/0.40 #### Cost of chains of evalEx2bb3in_loop_cont(A,B,C,D,E,F): 0.04/0.40 * Chain [25]: 0 0.04/0.40 with precondition: [A=3] 0.04/0.40 0.04/0.40 * Chain [24]: 0 0.04/0.40 with precondition: [A=4] 0.04/0.40 0.04/0.40 0.04/0.40 #### Cost of chains of evalEx2entryin(A,B,C,D,F): 0.04/0.40 * Chain [30]: 0 0.04/0.40 with precondition: [] 0.04/0.40 0.04/0.40 * Chain [29]: 0 0.04/0.40 with precondition: [0>=A] 0.04/0.40 0.04/0.40 * Chain [28]: 0 0.04/0.40 with precondition: [0>=B] 0.04/0.40 0.04/0.40 * Chain [27]: 1*aux(4)+0 0.04/0.40 with precondition: [A>=1,B>=1] 0.04/0.40 0.04/0.40 * Chain [26]...: 1*aux(5)+0 0.04/0.40 with precondition: [A>=1,B>=1] 0.04/0.40 0.04/0.40 0.04/0.40 #### Cost of chains of evalEx2start(A,B,C,D,F): 0.04/0.40 * Chain [35]: 0 0.04/0.40 with precondition: [] 0.04/0.40 0.04/0.40 * Chain [34]: 0 0.04/0.40 with precondition: [0>=A] 0.04/0.40 0.04/0.40 * Chain [33]: 0 0.04/0.40 with precondition: [0>=B] 0.04/0.40 0.04/0.40 * Chain [32]: 1*s(20)+0 0.04/0.40 with precondition: [A>=1,B>=1] 0.04/0.40 0.04/0.40 * Chain [31]...: 1*s(21)+0 0.04/0.40 with precondition: [A>=1,B>=1] 0.04/0.40 0.04/0.40 0.04/0.40 Closed-form bounds of evalEx2start(A,B,C,D,F): 0.04/0.40 ------------------------------------- 0.04/0.40 * Chain [35] with precondition: [] 0.04/0.40 - Upper bound: 0 0.04/0.40 - Complexity: constant 0.04/0.40 * Chain [34] with precondition: [0>=A] 0.04/0.40 - Upper bound: 0 0.04/0.40 - Complexity: constant 0.04/0.40 * Chain [33] with precondition: [0>=B] 0.04/0.40 - Upper bound: 0 0.04/0.40 - Complexity: constant 0.04/0.40 * Chain [32] with precondition: [A>=1,B>=1] 0.04/0.40 - Upper bound: inf 0.04/0.40 - Complexity: infinity 0.04/0.40 * Chain [31]... with precondition: [A>=1,B>=1] 0.04/0.40 - Upper bound: inf 0.04/0.40 - Complexity: infinity 0.04/0.40 0.04/0.40 ### Maximum cost of evalEx2start(A,B,C,D,F): inf 0.04/0.40 Asymptotic class: infinity 0.04/0.40 * Total analysis performed in 330 ms. 0.04/0.40 0.04/0.50 EOF