0.04/0.48 WORST_CASE(?,O(1)) 0.04/0.48 0.04/0.48 Preprocessing Cost Relations 0.04/0.48 ===================================== 0.04/0.48 0.04/0.48 #### Computed strongly connected components 0.04/0.48 0. recursive : [lbl13/15,lbl53/15,lbl91/15] 0.04/0.48 1. non_recursive : [exit_location/1] 0.04/0.48 2. non_recursive : [stop/15] 0.04/0.48 3. non_recursive : [lbl53_loop_cont/16] 0.04/0.48 4. non_recursive : [start/15] 0.04/0.48 5. non_recursive : [start0/15] 0.04/0.48 0.04/0.48 #### Obtained direct recursion through partial evaluation 0.04/0.48 0. SCC is partially evaluated into lbl53/15 0.04/0.48 1. SCC is completely evaluated into other SCCs 0.04/0.48 2. SCC is completely evaluated into other SCCs 0.04/0.48 3. SCC is partially evaluated into lbl53_loop_cont/16 0.04/0.48 4. SCC is partially evaluated into start/15 0.04/0.48 5. SCC is partially evaluated into start0/15 0.04/0.48 0.04/0.48 Control-Flow Refinement of Cost Relations 0.04/0.48 ===================================== 0.04/0.48 0.04/0.48 ### Specialization of cost equations lbl53/15 0.04/0.48 * CE 10 is refined into CE [13] 0.04/0.48 * CE 7 is refined into CE [14] 0.04/0.48 * CE 6 is discarded (unfeasible) 0.04/0.48 * CE 5 is discarded (unfeasible) 0.04/0.48 * CE 9 is refined into CE [15] 0.04/0.48 * CE 8 is refined into CE [16] 0.04/0.48 0.04/0.48 0.04/0.48 ### Cost equations --> "Loop" of lbl53/15 0.04/0.48 * CEs [16] --> Loop 12 0.04/0.48 * CEs [15] --> Loop 13 0.04/0.48 * CEs [13] --> Loop 14 0.04/0.48 * CEs [14] --> Loop 15 0.04/0.48 0.04/0.48 ### Ranking functions of CR lbl53(A,B,D,F,H,J,L,N,P,Q,R,S,T,U,V) 0.04/0.48 0.04/0.48 #### Partial ranking functions of CR lbl53(A,B,D,F,H,J,L,N,P,Q,R,S,T,U,V) 0.04/0.48 0.04/0.48 0.04/0.48 ### Specialization of cost equations lbl53_loop_cont/16 0.04/0.48 * CE 12 is refined into CE [17] 0.04/0.48 * CE 11 is refined into CE [18] 0.04/0.48 0.04/0.48 0.04/0.48 ### Cost equations --> "Loop" of lbl53_loop_cont/16 0.04/0.49 * CEs [17] --> Loop 16 0.04/0.49 * CEs [18] --> Loop 17 0.04/0.49 0.04/0.49 ### Ranking functions of CR lbl53_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P) 0.04/0.49 0.04/0.49 #### Partial ranking functions of CR lbl53_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P) 0.04/0.49 0.04/0.49 0.04/0.49 ### Specialization of cost equations start/15 0.04/0.49 * CE 3 is refined into CE [19,20,21] 0.04/0.49 * CE 4 is refined into CE [22,23,24] 0.04/0.49 * CE 2 is refined into CE [25] 0.04/0.49 0.04/0.49 0.04/0.49 ### Cost equations --> "Loop" of start/15 0.04/0.49 * CEs [20,23] --> Loop 18 0.04/0.49 * CEs [21,24] --> Loop 19 0.04/0.49 * CEs [25] --> Loop 20 0.04/0.49 * CEs [19,22] --> Loop 21 0.04/0.49 0.04/0.49 ### Ranking functions of CR start(A,B,C,D,E,F,G,H,I,J,K,L,M,N,P) 0.04/0.49 0.04/0.49 #### Partial ranking functions of CR start(A,B,C,D,E,F,G,H,I,J,K,L,M,N,P) 0.04/0.49 0.04/0.49 0.04/0.49 ### Specialization of cost equations start0/15 0.04/0.49 * CE 1 is refined into CE [26,27,28,29] 0.04/0.49 0.04/0.49 0.04/0.49 ### Cost equations --> "Loop" of start0/15 0.04/0.49 * CEs [29] --> Loop 22 0.04/0.49 * CEs [28] --> Loop 23 0.04/0.49 * CEs [27] --> Loop 24 0.04/0.49 * CEs [26] --> Loop 25 0.04/0.49 0.04/0.49 ### Ranking functions of CR start0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,P) 0.04/0.49 0.04/0.49 #### Partial ranking functions of CR start0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,P) 0.04/0.49 0.04/0.49 0.04/0.49 Computing Bounds 0.04/0.49 ===================================== 0.04/0.49 0.04/0.49 #### Cost of chains of lbl53(A,B,D,F,H,J,L,N,P,Q,R,S,T,U,V): 0.04/0.49 * Chain [15]: 0 0.04/0.49 with precondition: [A=2,D=1,J=2,L=0,N=2,P=2,Q=0,R=1,U=2,V=1,H=T,1>=H,H>=0] 0.04/0.49 0.04/0.49 * Chain [14]: 0 0.04/0.49 with precondition: [L=0,P=3,N=A,D+1=J,2>=D,D>=1,H>=0,N>=D+1,D>=H] 0.04/0.49 0.04/0.49 * Chain [13,14]: 1 0.04/0.49 with precondition: [D=1,J=2,L=0,P=3,A=N,1>=H,A>=3,H>=0] 0.04/0.49 0.04/0.49 * Chain [12,14]: 1 0.04/0.49 with precondition: [D=1,J=2,L=0,P=3,A=N,1>=H,A>=3,H>=0] 0.04/0.49 0.04/0.49 0.04/0.49 #### Cost of chains of lbl53_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P): 0.04/0.49 * Chain [17]: 0 0.04/0.49 with precondition: [A=2,O=B,O>=2] 0.04/0.49 0.04/0.49 * Chain [16]: 0 0.04/0.49 with precondition: [A=3,O=B,O>=2] 0.04/0.49 0.04/0.49 0.04/0.49 #### Cost of chains of start(A,B,C,D,E,F,G,H,I,J,K,L,M,N,P): 0.04/0.49 * Chain [21]: 0 0.04/0.49 with precondition: [A=2,N=2,C=B,E=D,G=F,I=H,K=J,M=L] 0.04/0.49 0.04/0.49 * Chain [20]: 0 0.04/0.49 with precondition: [N=A,C=B,E=D,G=F,I=H,K=J,M=L,1>=N] 0.04/0.49 0.04/0.49 * Chain [19]: 0 0.04/0.49 with precondition: [N=A,C=B,E=D,G=F,I=H,K=J,M=L,N>=2] 0.04/0.49 0.04/0.49 * Chain [18]: 1 0.04/0.49 with precondition: [N=A,C=B,E=D,G=F,I=H,K=J,M=L,N>=3] 0.04/0.49 0.04/0.49 0.04/0.49 #### Cost of chains of start0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,P): 0.04/0.49 * Chain [25]: 0 0.04/0.49 with precondition: [A=2] 0.04/0.49 0.04/0.49 * Chain [24]: 0 0.04/0.49 with precondition: [1>=A] 0.04/0.49 0.04/0.49 * Chain [23]: 0 0.04/0.49 with precondition: [A>=2] 0.04/0.49 0.04/0.49 * Chain [22]: 1 0.04/0.49 with precondition: [A>=3] 0.04/0.49 0.04/0.49 0.04/0.49 Closed-form bounds of start0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,P): 0.04/0.49 ------------------------------------- 0.04/0.49 * Chain [25] with precondition: [A=2] 0.04/0.49 - Upper bound: 0 0.04/0.49 - Complexity: constant 0.04/0.49 * Chain [24] with precondition: [1>=A] 0.04/0.49 - Upper bound: 0 0.04/0.49 - Complexity: constant 0.04/0.49 * Chain [23] with precondition: [A>=2] 0.04/0.49 - Upper bound: 0 0.04/0.49 - Complexity: constant 0.04/0.49 * Chain [22] with precondition: [A>=3] 0.04/0.49 - Upper bound: 1 0.04/0.49 - Complexity: constant 0.04/0.49 0.04/0.49 ### Maximum cost of start0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,P): 1 0.04/0.49 Asymptotic class: constant 0.04/0.49 * Total analysis performed in 386 ms. 0.04/0.49 0.04/0.59 EOF