0.04/0.47 MAYBE 0.04/0.47 0.04/0.47 Preprocessing Cost Relations 0.04/0.47 ===================================== 0.04/0.47 0.04/0.47 #### Computed strongly connected components 0.04/0.47 0. recursive : [f17/12] 0.04/0.47 1. non_recursive : [exit_location/1] 0.04/0.47 2. non_recursive : [f20/16] 0.04/0.47 3. non_recursive : [f17_loop_cont/17] 0.04/0.47 4. non_recursive : [f18/16] 0.04/0.47 5. non_recursive : [f22/16] 0.04/0.47 0.04/0.47 #### Obtained direct recursion through partial evaluation 0.04/0.47 0. SCC is partially evaluated into f17/12 0.04/0.47 1. SCC is completely evaluated into other SCCs 0.04/0.47 2. SCC is completely evaluated into other SCCs 0.04/0.47 3. SCC is partially evaluated into f17_loop_cont/17 0.04/0.47 4. SCC is partially evaluated into f18/16 0.04/0.47 5. SCC is partially evaluated into f22/16 0.04/0.47 0.04/0.47 Control-Flow Refinement of Cost Relations 0.04/0.47 ===================================== 0.04/0.47 0.04/0.47 ### Specialization of cost equations f17/12 0.04/0.47 * CE 8 is refined into CE [11] 0.04/0.47 * CE 7 is refined into CE [12] 0.04/0.47 * CE 5 is refined into CE [13] 0.04/0.47 * CE 6 is refined into CE [14] 0.04/0.47 0.04/0.47 0.04/0.47 ### Cost equations --> "Loop" of f17/12 0.04/0.47 * CEs [13] --> Loop 11 0.04/0.47 * CEs [14] --> Loop 12 0.04/0.47 * CEs [11] --> Loop 13 0.04/0.47 * CEs [12] --> Loop 14 0.04/0.47 0.04/0.47 ### Ranking functions of CR f17(A,B,C,D,E,G,R,S,T,U,V,W) 0.04/0.47 0.04/0.47 #### Partial ranking functions of CR f17(A,B,C,D,E,G,R,S,T,U,V,W) 0.04/0.47 0.04/0.47 0.04/0.47 ### Specialization of cost equations f17_loop_cont/17 0.04/0.47 * CE 10 is refined into CE [15] 0.04/0.47 * CE 9 is refined into CE [16] 0.04/0.47 0.04/0.47 0.04/0.47 ### Cost equations --> "Loop" of f17_loop_cont/17 0.04/0.47 * CEs [15] --> Loop 15 0.04/0.47 * CEs [16] --> Loop 16 0.04/0.47 0.04/0.47 ### Ranking functions of CR f17_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q) 0.04/0.47 0.04/0.47 #### Partial ranking functions of CR f17_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q) 0.04/0.47 0.04/0.47 0.04/0.47 ### Specialization of cost equations f18/16 0.04/0.47 * CE 3 is refined into CE [17,18,19,20,21,22] 0.04/0.47 * CE 4 is refined into CE [23,24,25,26,27,28] 0.04/0.47 0.04/0.47 0.04/0.47 ### Cost equations --> "Loop" of f18/16 0.04/0.47 * CEs [21,22] --> Loop 17 0.04/0.47 * CEs [27,28] --> Loop 18 0.04/0.47 * CEs [20] --> Loop 19 0.04/0.47 * CEs [26] --> Loop 20 0.04/0.47 * CEs [17,18,19] --> Loop 21 0.04/0.47 * CEs [23,24,25] --> Loop 22 0.04/0.47 0.04/0.47 ### Ranking functions of CR f18(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,R) 0.04/0.47 0.04/0.47 #### Partial ranking functions of CR f18(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,R) 0.04/0.47 0.04/0.47 0.04/0.47 ### Specialization of cost equations f22/16 0.04/0.47 * CE 1 is refined into CE [29,30,31] 0.04/0.47 * CE 2 is refined into CE [32,33,34] 0.04/0.47 0.04/0.47 0.04/0.47 ### Cost equations --> "Loop" of f22/16 0.04/0.47 * CEs [31] --> Loop 23 0.04/0.47 * CEs [34] --> Loop 24 0.04/0.47 * CEs [30] --> Loop 25 0.04/0.47 * CEs [33] --> Loop 26 0.04/0.47 * CEs [29] --> Loop 27 0.04/0.47 * CEs [32] --> Loop 28 0.04/0.47 0.04/0.47 ### Ranking functions of CR f22(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,R) 0.04/0.47 0.04/0.47 #### Partial ranking functions of CR f22(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,R) 0.04/0.47 0.04/0.47 0.04/0.47 Computing Bounds 0.04/0.47 ===================================== 0.04/0.47 0.04/0.47 #### Cost of chains of f17(A,B,C,D,E,G,R,S,T,U,V,W): 0.04/0.47 * Chain [[11,12]]...: 2*it(11)+0 0.04/0.47 with precondition: [C>=0,D>=1] 0.04/0.47 0.04/0.47 * Chain [[11,12],14]: 2*it(11)+0 0.04/0.47 with precondition: [R=2,A=S,A=T,C>=0,D>=1,U>=D+1] 0.04/0.47 0.04/0.47 * Chain [[11,12],13]: 2*it(11)+0 0.04/0.47 with precondition: [R=3,C>=0,D>=1] 0.04/0.47 0.04/0.47 * Chain [14]: 0 0.04/0.47 with precondition: [R=2,A=B,V=E,A=S,A=T,D=U,C>=0,D>=1] 0.04/0.47 0.04/0.47 * Chain [13]: 0 0.04/0.47 with precondition: [R=3,D>=1] 0.04/0.47 0.04/0.47 0.04/0.47 #### Cost of chains of f17_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q): 0.04/0.47 * Chain [16]: 0 0.04/0.47 with precondition: [A=2,J=2,O=3,P=0,L=K,L=M,L=N,G>=0] 0.04/0.47 0.04/0.47 * Chain [15]: 0 0.04/0.47 with precondition: [A=3,J=2,O=3,P=0,L=K,L=M,L=N,G>=0] 0.04/0.47 0.04/0.47 0.04/0.47 #### Cost of chains of f18(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,R): 0.04/0.47 * Chain [22]: 1*aux(1)+0 0.04/0.47 with precondition: [I=2,N=3,O=0,H=B,K=J,K=L,K=M,C>=0,F>=0,H>=A+1] 0.04/0.47 0.04/0.47 * Chain [21]: 1*aux(2)+0 0.04/0.47 with precondition: [I=2,N=3,O=0,H=B,K=J,K=L,K=M,C>=0,F>=0,A>=H+1] 0.04/0.47 0.04/0.47 * Chain [20]: 0 0.04/0.47 with precondition: [I=2,N=3,O=0,H=B,K=J,K=L,K=M,F>=0,H>=A+1] 0.04/0.47 0.04/0.47 * Chain [19]: 0 0.04/0.47 with precondition: [I=2,N=3,O=0,H=B,K=J,K=L,K=M,F>=0,A>=H+1] 0.04/0.47 0.04/0.47 * Chain [18]...: 1*aux(3)+0 0.04/0.47 with precondition: [I=2,N=3,O=0,H=B,K=J,K=L,K=M,C>=0,F>=0,H>=A+1] 0.04/0.47 0.04/0.47 * Chain [17]...: 1*aux(4)+0 0.04/0.47 with precondition: [I=2,N=3,O=0,H=B,K=J,K=L,K=M,C>=0,F>=0,A>=H+1] 0.04/0.47 0.04/0.47 0.04/0.47 #### Cost of chains of f22(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,R): 0.04/0.47 * Chain [28]: 1*s(9)+0 0.04/0.47 with precondition: [C>=0,F>=0,H>=A+1] 0.04/0.47 0.04/0.47 * Chain [27]: 1*s(10)+0 0.04/0.47 with precondition: [C>=0,F>=0,A>=H+1] 0.04/0.47 0.04/0.47 * Chain [26]: 0 0.04/0.47 with precondition: [F>=0,H>=A+1] 0.04/0.47 0.04/0.47 * Chain [25]: 0 0.04/0.47 with precondition: [F>=0,A>=H+1] 0.04/0.47 0.04/0.47 * Chain [24]...: 1*s(11)+0 0.04/0.47 with precondition: [C>=0,F>=0,H>=A+1] 0.04/0.47 0.04/0.47 * Chain [23]...: 1*s(12)+0 0.04/0.47 with precondition: [C>=0,F>=0,A>=H+1] 0.04/0.47 0.04/0.47 0.04/0.47 Closed-form bounds of f22(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,R): 0.04/0.47 ------------------------------------- 0.04/0.47 * Chain [28] with precondition: [C>=0,F>=0,H>=A+1] 0.04/0.47 - Upper bound: inf 0.04/0.47 - Complexity: infinity 0.04/0.47 * Chain [27] with precondition: [C>=0,F>=0,A>=H+1] 0.04/0.47 - Upper bound: inf 0.04/0.47 - Complexity: infinity 0.04/0.47 * Chain [26] with precondition: [F>=0,H>=A+1] 0.04/0.47 - Upper bound: 0 0.04/0.47 - Complexity: constant 0.04/0.47 * Chain [25] with precondition: [F>=0,A>=H+1] 0.04/0.47 - Upper bound: 0 0.04/0.47 - Complexity: constant 0.04/0.47 * Chain [24]... with precondition: [C>=0,F>=0,H>=A+1] 0.04/0.47 - Upper bound: inf 0.04/0.47 - Complexity: infinity 0.04/0.47 * Chain [23]... with precondition: [C>=0,F>=0,A>=H+1] 0.04/0.47 - Upper bound: inf 0.04/0.47 - Complexity: infinity 0.04/0.47 0.04/0.47 ### Maximum cost of f22(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,R): inf 0.04/0.47 Asymptotic class: infinity 0.04/0.47 * Total analysis performed in 387 ms. 0.04/0.47 0.48/0.58 EOF