0.04/0.39 MAYBE 0.04/0.39 0.04/0.39 Preprocessing Cost Relations 0.04/0.39 ===================================== 0.04/0.39 0.04/0.39 #### Computed strongly connected components 0.04/0.39 0. recursive : [f12/23,f20/23] 0.04/0.39 1. non_recursive : [exit_location/1] 0.04/0.39 2. non_recursive : [f5/12] 0.04/0.39 3. non_recursive : [f12_loop_cont/13] 0.04/0.39 4. non_recursive : [f0/12] 0.04/0.39 0.04/0.39 #### Obtained direct recursion through partial evaluation 0.04/0.39 0. SCC is partially evaluated into f12/23 0.04/0.39 1. SCC is completely evaluated into other SCCs 0.04/0.39 2. SCC is completely evaluated into other SCCs 0.04/0.39 3. SCC is partially evaluated into f12_loop_cont/13 0.04/0.39 4. SCC is partially evaluated into f0/12 0.04/0.39 0.04/0.39 Control-Flow Refinement of Cost Relations 0.04/0.39 ===================================== 0.04/0.39 0.04/0.39 ### Specialization of cost equations f12/23 0.04/0.39 * CE 6 is refined into CE [9] 0.04/0.39 * CE 5 is refined into CE [10] 0.04/0.39 * CE 3 is refined into CE [11] 0.04/0.39 * CE 4 is refined into CE [12] 0.04/0.39 0.04/0.39 0.04/0.39 ### Cost equations --> "Loop" of f12/23 0.04/0.39 * CEs [11] --> Loop 8 0.04/0.39 * CEs [12] --> Loop 9 0.04/0.39 * CEs [9] --> Loop 10 0.04/0.39 * CEs [10] --> Loop 11 0.04/0.39 0.04/0.39 ### Ranking functions of CR f12(A,B,C,D,E,F,G,H,I,J,K,N,O,P,Q,R,S,T,U,V,W,X,Y) 0.04/0.39 * RF of phase [8]: [A] 0.04/0.39 0.04/0.39 #### Partial ranking functions of CR f12(A,B,C,D,E,F,G,H,I,J,K,N,O,P,Q,R,S,T,U,V,W,X,Y) 0.04/0.39 * Partial RF of phase [8]: 0.04/0.39 - RF of loop [8:1]: 0.04/0.39 A 0.04/0.39 0.04/0.39 0.04/0.39 ### Specialization of cost equations f12_loop_cont/13 0.04/0.39 * CE 8 is refined into CE [13] 0.04/0.39 * CE 7 is refined into CE [14] 0.04/0.39 0.04/0.39 0.04/0.39 ### Cost equations --> "Loop" of f12_loop_cont/13 0.04/0.39 * CEs [13] --> Loop 12 0.04/0.39 * CEs [14] --> Loop 13 0.04/0.39 0.04/0.39 ### Ranking functions of CR f12_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M) 0.04/0.39 0.04/0.39 #### Partial ranking functions of CR f12_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M) 0.04/0.39 0.04/0.39 0.04/0.39 ### Specialization of cost equations f0/12 0.04/0.39 * CE 1 is refined into CE [15] 0.04/0.39 * CE 2 is refined into CE [16,17,18,19,20,21,22] 0.04/0.39 0.04/0.39 0.04/0.39 ### Cost equations --> "Loop" of f0/12 0.04/0.39 * CEs [21,22] --> Loop 14 0.04/0.39 * CEs [15,16,17,18,19,20] --> Loop 15 0.04/0.39 0.04/0.39 ### Ranking functions of CR f0(A,B,C,D,E,F,G,H,I,J,K,N) 0.04/0.39 0.04/0.39 #### Partial ranking functions of CR f0(A,B,C,D,E,F,G,H,I,J,K,N) 0.04/0.39 0.04/0.39 0.04/0.39 Computing Bounds 0.04/0.39 ===================================== 0.04/0.39 0.04/0.39 #### Cost of chains of f12(A,B,C,D,E,F,G,H,I,J,K,N,O,P,Q,R,S,T,U,V,W,X,Y): 0.04/0.39 * Chain [[9]]...: 1*it(9)+0 0.04/0.39 with precondition: [0>=A+1] 0.04/0.39 0.04/0.39 * Chain [[9],10]: 1*it(9)+0 0.04/0.39 with precondition: [N=3,0>=A+1] 0.04/0.39 0.04/0.39 * Chain [[8],11]: 1*it(8)+0 0.04/0.39 Such that:it(8) =< A 0.04/0.39 0.04/0.39 with precondition: [N=2,O=0,R=0,S=0,T=0,U=0,X=0,Y=0,P=Q,V=W,A>=1] 0.04/0.39 0.04/0.39 * Chain [[8],10]: 1*it(8)+0 0.04/0.39 Such that:it(8) =< A 0.04/0.39 0.04/0.39 with precondition: [N=3,A>=1] 0.04/0.39 0.04/0.39 * Chain [11]: 0 0.04/0.39 with precondition: [A=0,N=2,O=0,R=0,S=0,X=0,Y=0,P=B,Q=C,T=F,U=G,W=V] 0.04/0.39 0.04/0.39 * Chain [10]: 0 0.04/0.39 with precondition: [N=3] 0.04/0.39 0.04/0.39 0.04/0.39 #### Cost of chains of f12_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M): 0.04/0.39 * Chain [13]: 0 0.04/0.39 with precondition: [A=2] 0.04/0.39 0.04/0.39 * Chain [12]: 0 0.04/0.39 with precondition: [A=3] 0.04/0.39 0.04/0.39 0.04/0.39 #### Cost of chains of f0(A,B,C,D,E,F,G,H,I,J,K,N): 0.04/0.39 * Chain [15]: 1*aux(1)+0 0.04/0.39 with precondition: [] 0.04/0.39 0.04/0.39 * Chain [14]...: 1*aux(2)+0 0.04/0.39 with precondition: [] 0.04/0.39 0.04/0.39 0.04/0.39 Closed-form bounds of f0(A,B,C,D,E,F,G,H,I,J,K,N): 0.04/0.39 ------------------------------------- 0.04/0.39 * Chain [15] with precondition: [] 0.04/0.39 - Upper bound: inf 0.04/0.39 - Complexity: infinity 0.04/0.39 * Chain [14]... with precondition: [] 0.04/0.39 - Upper bound: inf 0.04/0.39 - Complexity: infinity 0.04/0.39 0.04/0.39 ### Maximum cost of f0(A,B,C,D,E,F,G,H,I,J,K,N): inf 0.04/0.39 Asymptotic class: infinity 0.04/0.39 * Total analysis performed in 311 ms. 0.04/0.39 0.04/0.50 EOF