0.64/0.69 MAYBE 0.64/0.69 0.64/0.69 Preprocessing Cost Relations 0.64/0.69 ===================================== 0.64/0.69 0.64/0.69 #### Computed strongly connected components 0.64/0.69 0. non_recursive : [f13/15] 0.64/0.69 1. recursive : [f16/23] 0.64/0.69 2. non_recursive : [exit_location/1] 0.64/0.69 3. recursive : [f11/10] 0.64/0.69 4. non_recursive : [f11_loop_cont/16] 0.64/0.69 5. non_recursive : [f16_loop_cont/16] 0.64/0.69 6. non_recursive : [f300/15] 0.64/0.69 0.64/0.69 #### Obtained direct recursion through partial evaluation 0.64/0.69 0. SCC is completely evaluated into other SCCs 0.64/0.69 1. SCC is partially evaluated into f16/23 0.64/0.69 2. SCC is completely evaluated into other SCCs 0.64/0.69 3. SCC is partially evaluated into f11/10 0.64/0.69 4. SCC is partially evaluated into f11_loop_cont/16 0.64/0.69 5. SCC is partially evaluated into f16_loop_cont/16 0.64/0.69 6. SCC is partially evaluated into f300/15 0.64/0.69 0.64/0.69 Control-Flow Refinement of Cost Relations 0.64/0.69 ===================================== 0.64/0.69 0.64/0.69 ### Specialization of cost equations f16/23 0.64/0.69 * CE 4 is refined into CE [15] 0.64/0.69 * CE 5 is refined into CE [16] 0.64/0.69 * CE 6 is refined into CE [17] 0.64/0.69 * CE 3 is refined into CE [18] 0.64/0.69 0.64/0.69 0.64/0.69 ### Cost equations --> "Loop" of f16/23 0.64/0.69 * CEs [18] --> Loop 15 0.64/0.69 * CEs [15] --> Loop 16 0.64/0.69 * CEs [16] --> Loop 17 0.64/0.69 * CEs [17] --> Loop 18 0.64/0.69 0.64/0.69 ### Ranking functions of CR f16(B,C,D,E,F,G,H,I,J,K,L,M,S,T,U,V,W,X,Y,Z,A1,B1,C1) 0.64/0.69 * RF of phase [15]: [F-G-1] 0.64/0.69 0.64/0.69 #### Partial ranking functions of CR f16(B,C,D,E,F,G,H,I,J,K,L,M,S,T,U,V,W,X,Y,Z,A1,B1,C1) 0.64/0.69 * Partial RF of phase [15]: 0.64/0.69 - RF of loop [15:1]: 0.64/0.69 F-G-1 0.64/0.69 0.64/0.69 0.64/0.69 ### Specialization of cost equations f11/10 0.64/0.69 * CE 12 is refined into CE [19] 0.64/0.69 * CE 11 is refined into CE [20] 0.64/0.69 * CE 9 is refined into CE [21] 0.64/0.69 * CE 10 is refined into CE [22] 0.64/0.69 0.64/0.69 0.64/0.69 ### Cost equations --> "Loop" of f11/10 0.64/0.69 * CEs [21] --> Loop 19 0.64/0.69 * CEs [22] --> Loop 20 0.64/0.69 * CEs [19] --> Loop 21 0.64/0.69 * CEs [20] --> Loop 22 0.64/0.69 0.64/0.69 ### Ranking functions of CR f11(A,B,C,D,K,S,T,U,V,W) 0.64/0.69 0.64/0.69 #### Partial ranking functions of CR f11(A,B,C,D,K,S,T,U,V,W) 0.64/0.69 0.64/0.69 0.64/0.69 ### Specialization of cost equations f11_loop_cont/16 0.64/0.69 * CE 14 is refined into CE [23] 0.64/0.69 * CE 13 is refined into CE [24] 0.64/0.69 0.64/0.69 0.64/0.69 ### Cost equations --> "Loop" of f11_loop_cont/16 0.64/0.69 * CEs [23] --> Loop 23 0.64/0.69 * CEs [24] --> Loop 24 0.64/0.69 0.64/0.69 ### Ranking functions of CR f11_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P) 0.64/0.69 0.64/0.69 #### Partial ranking functions of CR f11_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P) 0.64/0.69 0.64/0.69 0.64/0.69 ### Specialization of cost equations f16_loop_cont/16 0.64/0.69 * CE 8 is refined into CE [25,26,27,28,29,30] 0.64/0.69 * CE 7 is refined into CE [31] 0.64/0.69 0.64/0.69 0.64/0.69 ### Cost equations --> "Loop" of f16_loop_cont/16 0.64/0.69 * CEs [27] --> Loop 25 0.64/0.69 * CEs [26,28] --> Loop 26 0.64/0.69 * CEs [25] --> Loop 27 0.64/0.69 * CEs [31] --> Loop 28 0.64/0.69 * CEs [29,30] --> Loop 29 0.64/0.69 0.64/0.69 ### Ranking functions of CR f16_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P) 0.64/0.69 0.64/0.69 #### Partial ranking functions of CR f16_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P) 0.64/0.69 0.64/0.69 0.64/0.69 ### Specialization of cost equations f300/15 0.64/0.69 * CE 2 is refined into CE [32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49] 0.64/0.69 * CE 1 is refined into CE [50] 0.64/0.69 0.64/0.69 0.64/0.69 ### Cost equations --> "Loop" of f300/15 0.64/0.69 * CEs [33] --> Loop 30 0.64/0.69 * CEs [32,44,48] --> Loop 31 0.64/0.69 * CEs [42,43,46,47] --> Loop 32 0.64/0.69 * CEs [50] --> Loop 33 0.64/0.69 * CEs [36,40] --> Loop 34 0.64/0.69 * CEs [34,35,38,39] --> Loop 35 0.64/0.69 * CEs [45,49] --> Loop 36 0.64/0.69 * CEs [37,41] --> Loop 37 0.64/0.69 0.64/0.69 ### Ranking functions of CR f300(A,B,C,D,E,F,G,H,I,J,K,L,M,N,S) 0.64/0.69 0.64/0.69 #### Partial ranking functions of CR f300(A,B,C,D,E,F,G,H,I,J,K,L,M,N,S) 0.64/0.69 0.64/0.69 0.64/0.69 Computing Bounds 0.64/0.69 ===================================== 0.64/0.69 0.64/0.69 #### Cost of chains of f16(B,C,D,E,F,G,H,I,J,K,L,M,S,T,U,V,W,X,Y,Z,A1,B1,C1): 0.64/0.69 * Chain [[15],18]: 1*it(15)+0 0.64/0.69 Such that:it(15) =< F-G 0.64/0.69 0.64/0.69 with precondition: [S=3,H=I,H=J,E>=0,G>=1,F>=G+2] 0.64/0.69 0.64/0.69 * Chain [[15],17]: 1*it(15)+0 0.64/0.69 Such that:it(15) =< F-G 0.64/0.69 0.64/0.69 with precondition: [S=4,H=I,H=J,F=W+1,X=Y,X=Z,X=B1,X=C1,0>=U+1,E>=0,G>=1,F>=G+2] 0.64/0.69 0.64/0.69 * Chain [[15],16]: 1*it(15)+0 0.64/0.69 Such that:it(15) =< F-G 0.64/0.69 0.64/0.69 with precondition: [S=4,H=I,H=J,F=W+1,X=Y,X=Z,X=B1,X=C1,E>=0,G>=1,U>=1,F>=G+2] 0.64/0.69 0.64/0.69 * Chain [18]: 0 0.64/0.69 with precondition: [S=3,H=I,H=J,G>=1,F>=G+1] 0.64/0.69 0.64/0.69 * Chain [17]: 0 0.64/0.69 with precondition: [S=4,F=G+1,H=I,H=J,F=W+1,H=X,H=Y,H=Z,H=B1,H=C1,0>=U+1,E>=0,F>=2] 0.64/0.69 0.64/0.69 * Chain [16]: 0 0.64/0.69 with precondition: [S=4,F=G+1,H=I,H=J,F=W+1,H=X,H=Y,H=Z,H=B1,H=C1,E>=0,F>=2,U>=1] 0.64/0.69 0.64/0.69 0.64/0.69 #### Cost of chains of f11(A,B,C,D,K,S,T,U,V,W): 0.64/0.69 * Chain [[19,20]]...: 2*it(19)+0 0.64/0.69 with precondition: [A>=0] 0.64/0.69 0.64/0.69 * Chain [[19,20],22]: 2*it(19)+0 0.64/0.69 with precondition: [S=2,T=0,A>=0] 0.64/0.69 0.64/0.69 * Chain [[19,20],21]: 2*it(19)+0 0.64/0.69 with precondition: [S=3,A>=0] 0.64/0.69 0.64/0.69 * Chain [22]: 0 0.64/0.69 with precondition: [B=0,S=2,T=0,U=C,V=D,A>=0] 0.64/0.69 0.64/0.69 * Chain [21]: 0 0.64/0.69 with precondition: [S=3] 0.64/0.69 0.64/0.69 0.64/0.69 #### Cost of chains of f11_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P): 0.64/0.69 * Chain [24]: 0 0.64/0.69 with precondition: [A=2,G>=2] 0.64/0.69 0.64/0.69 * Chain [23]: 0 0.64/0.69 with precondition: [A=3,G>=2] 0.64/0.69 0.64/0.69 0.64/0.69 #### Cost of chains of f16_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P): 0.64/0.69 * Chain [29]...: 1*aux(1)+0 0.64/0.69 with precondition: [A=4,B>=0,G>=2] 0.64/0.69 0.64/0.69 * Chain [28]: 0 0.64/0.69 with precondition: [A=3,G>=2] 0.64/0.69 0.64/0.69 * Chain [27]: 0 0.64/0.69 with precondition: [A=4,C=0,B>=0,G>=2] 0.64/0.69 0.64/0.69 * Chain [26]: 1*aux(2)+0 0.64/0.69 with precondition: [A=4,B>=0,G>=2] 0.64/0.69 0.64/0.69 * Chain [25]: 0 0.64/0.69 with precondition: [A=4,G>=2] 0.64/0.69 0.64/0.69 0.64/0.69 #### Cost of chains of f300(A,B,C,D,E,F,G,H,I,J,K,L,M,N,S): 0.64/0.69 * Chain [37]...: 1*aux(3)+0 0.64/0.69 with precondition: [F=2,A>=0,E>=0] 0.64/0.69 0.64/0.69 * Chain [36]...: 2*s(7)+2*s(8)+0 0.64/0.69 Such that:aux(4) =< F 0.64/0.69 s(7) =< aux(4) 0.64/0.69 0.64/0.69 with precondition: [A>=0,E>=0,F>=3] 0.64/0.69 0.64/0.69 * Chain [35]: 1*aux(5)+0 0.64/0.69 with precondition: [F=2,A>=0,E>=0] 0.64/0.69 0.64/0.69 * Chain [34]: 0 0.64/0.69 with precondition: [F=2,E>=0] 0.64/0.69 0.64/0.69 * Chain [33]: 0 0.64/0.69 with precondition: [1>=F] 0.64/0.69 0.64/0.69 * Chain [32]: 4*s(13)+2*s(15)+0 0.64/0.69 Such that:aux(6) =< F 0.64/0.69 s(13) =< aux(6) 0.64/0.69 0.64/0.69 with precondition: [A>=0,E>=0,F>=3] 0.64/0.69 0.64/0.69 * Chain [31]: 3*s(19)+0 0.64/0.69 Such that:aux(7) =< F 0.64/0.69 s(19) =< aux(7) 0.64/0.69 0.64/0.69 with precondition: [E>=0,F>=3] 0.64/0.69 0.64/0.69 * Chain [30]: 0 0.64/0.69 with precondition: [F>=2] 0.64/0.69 0.64/0.69 0.64/0.69 Closed-form bounds of f300(A,B,C,D,E,F,G,H,I,J,K,L,M,N,S): 0.64/0.69 ------------------------------------- 0.64/0.69 * Chain [37]... with precondition: [F=2,A>=0,E>=0] 0.64/0.69 - Upper bound: inf 0.64/0.69 - Complexity: infinity 0.64/0.69 * Chain [36]... with precondition: [A>=0,E>=0,F>=3] 0.64/0.69 - Upper bound: inf 0.64/0.69 - Complexity: infinity 0.64/0.69 * Chain [35] with precondition: [F=2,A>=0,E>=0] 0.64/0.69 - Upper bound: inf 0.64/0.69 - Complexity: infinity 0.64/0.69 * Chain [34] with precondition: [F=2,E>=0] 0.64/0.69 - Upper bound: 0 0.64/0.69 - Complexity: constant 0.64/0.69 * Chain [33] with precondition: [1>=F] 0.64/0.69 - Upper bound: 0 0.64/0.69 - Complexity: constant 0.64/0.69 * Chain [32] with precondition: [A>=0,E>=0,F>=3] 0.64/0.69 - Upper bound: inf 0.64/0.69 - Complexity: infinity 0.64/0.69 * Chain [31] with precondition: [E>=0,F>=3] 0.64/0.69 - Upper bound: 3*F 0.64/0.69 - Complexity: n 0.64/0.69 * Chain [30] with precondition: [F>=2] 0.64/0.69 - Upper bound: 0 0.64/0.69 - Complexity: constant 0.64/0.69 0.64/0.69 ### Maximum cost of f300(A,B,C,D,E,F,G,H,I,J,K,L,M,N,S): inf 0.64/0.69 Asymptotic class: infinity 0.64/0.69 * Total analysis performed in 587 ms. 0.64/0.69 0.69/0.80 EOF