0.04/0.32 MAYBE 0.04/0.32 0.04/0.32 Preprocessing Cost Relations 0.04/0.32 ===================================== 0.04/0.32 0.04/0.32 #### Computed strongly connected components 0.04/0.32 0. recursive : [evalEx3bb1in/6,evalEx3bb2in/6,evalEx3bb3in/6] 0.04/0.32 1. recursive : [evalEx3bb2in_loop_cont/8,evalEx3bb4in/7,evalEx3bbin/7] 0.04/0.32 2. non_recursive : [evalEx3stop/4] 0.04/0.32 3. non_recursive : [evalEx3returnin/4] 0.04/0.32 4. non_recursive : [exit_location/1] 0.04/0.32 5. non_recursive : [evalEx3bb4in_loop_cont/5] 0.04/0.32 6. non_recursive : [evalEx3entryin/4] 0.04/0.32 7. non_recursive : [evalEx3start/4] 0.04/0.32 0.04/0.32 #### Obtained direct recursion through partial evaluation 0.04/0.32 0. SCC is partially evaluated into evalEx3bb2in/6 0.04/0.32 1. SCC is partially evaluated into evalEx3bb4in/7 0.04/0.32 2. SCC is completely evaluated into other SCCs 0.04/0.32 3. SCC is completely evaluated into other SCCs 0.04/0.32 4. SCC is completely evaluated into other SCCs 0.04/0.32 5. SCC is partially evaluated into evalEx3bb4in_loop_cont/5 0.04/0.32 6. SCC is partially evaluated into evalEx3entryin/4 0.04/0.32 7. SCC is partially evaluated into evalEx3start/4 0.04/0.32 0.04/0.32 Control-Flow Refinement of Cost Relations 0.04/0.32 ===================================== 0.04/0.32 0.04/0.32 ### Specialization of cost equations evalEx3bb2in/6 0.04/0.32 * CE 12 is refined into CE [13] 0.04/0.32 * CE 9 is refined into CE [14] 0.04/0.32 * CE 11 is refined into CE [15] 0.04/0.32 * CE 10 is refined into CE [16] 0.04/0.32 0.04/0.32 0.04/0.32 ### Cost equations --> "Loop" of evalEx3bb2in/6 0.04/0.32 * CEs [16] --> Loop 13 0.04/0.32 * CEs [13] --> Loop 14 0.04/0.32 * CEs [14] --> Loop 15 0.04/0.32 * CEs [15] --> Loop 16 0.04/0.32 0.04/0.32 ### Ranking functions of CR evalEx3bb2in(A,B,C,E,F,G) 0.04/0.32 * RF of phase [13]: [C] 0.04/0.32 0.04/0.32 #### Partial ranking functions of CR evalEx3bb2in(A,B,C,E,F,G) 0.04/0.32 * Partial RF of phase [13]: 0.04/0.32 - RF of loop [13:1]: 0.04/0.32 C 0.04/0.32 0.04/0.32 0.04/0.32 ### Specialization of cost equations evalEx3bb4in/7 0.04/0.32 * CE 5 is refined into CE [17] 0.04/0.32 * CE 3 is refined into CE [18,19] 0.04/0.32 * CE 6 is refined into CE [20] 0.04/0.32 * CE 4 is refined into CE [21,22,23] 0.04/0.32 0.04/0.32 0.04/0.32 ### Cost equations --> "Loop" of evalEx3bb4in/7 0.04/0.32 * CEs [23] --> Loop 17 0.04/0.32 * CEs [22] --> Loop 18 0.04/0.32 * CEs [21] --> Loop 19 0.04/0.32 * CEs [17] --> Loop 20 0.04/0.32 * CEs [18,19] --> Loop 21 0.04/0.32 * CEs [20] --> Loop 22 0.04/0.32 0.04/0.32 ### Ranking functions of CR evalEx3bb4in(A,B,C,E,F,G,H) 0.04/0.32 0.04/0.32 #### Partial ranking functions of CR evalEx3bb4in(A,B,C,E,F,G,H) 0.04/0.32 * Partial RF of phase [17,18]: 0.04/0.32 - RF of loop [17:1]: 0.04/0.32 A-1 0.04/0.32 0.04/0.32 0.04/0.32 ### Specialization of cost equations evalEx3bb4in_loop_cont/5 0.04/0.32 * CE 7 is refined into CE [24] 0.04/0.32 * CE 8 is refined into CE [25] 0.04/0.32 0.04/0.32 0.04/0.32 ### Cost equations --> "Loop" of evalEx3bb4in_loop_cont/5 0.04/0.32 * CEs [24] --> Loop 23 0.04/0.32 * CEs [25] --> Loop 24 0.04/0.32 0.04/0.32 ### Ranking functions of CR evalEx3bb4in_loop_cont(A,B,C,D,E) 0.04/0.32 0.04/0.32 #### Partial ranking functions of CR evalEx3bb4in_loop_cont(A,B,C,D,E) 0.04/0.32 0.04/0.32 0.04/0.32 ### Specialization of cost equations evalEx3entryin/4 0.04/0.32 * CE 2 is refined into CE [26,27,28,29,30,31] 0.04/0.32 0.04/0.32 0.04/0.32 ### Cost equations --> "Loop" of evalEx3entryin/4 0.04/0.32 * CEs [30,31] --> Loop 25 0.04/0.32 * CEs [27,28] --> Loop 26 0.04/0.32 * CEs [29] --> Loop 27 0.04/0.32 * CEs [26] --> Loop 28 0.04/0.32 0.04/0.32 ### Ranking functions of CR evalEx3entryin(A,B,C,E) 0.04/0.32 0.04/0.32 #### Partial ranking functions of CR evalEx3entryin(A,B,C,E) 0.04/0.32 0.04/0.32 0.04/0.32 ### Specialization of cost equations evalEx3start/4 0.04/0.32 * CE 1 is refined into CE [32,33,34,35] 0.04/0.32 0.04/0.32 0.04/0.32 ### Cost equations --> "Loop" of evalEx3start/4 0.04/0.32 * CEs [35] --> Loop 29 0.04/0.32 * CEs [34] --> Loop 30 0.04/0.32 * CEs [33] --> Loop 31 0.04/0.32 * CEs [32] --> Loop 32 0.04/0.32 0.04/0.32 ### Ranking functions of CR evalEx3start(A,B,C,E) 0.04/0.32 0.04/0.32 #### Partial ranking functions of CR evalEx3start(A,B,C,E) 0.04/0.32 0.04/0.32 0.04/0.32 Computing Bounds 0.04/0.32 ===================================== 0.04/0.32 0.04/0.32 #### Cost of chains of evalEx3bb2in(A,B,C,E,F,G): 0.04/0.32 * Chain [[13],16]: 1*it(13)+0 0.04/0.32 Such that:it(13) =< C 0.04/0.32 0.04/0.32 with precondition: [E=2,F=0,G=0,C>=1,A>=C] 0.04/0.32 0.04/0.32 * Chain [[13],15]: 1*it(13)+0 0.04/0.32 Such that:it(13) =< C-F 0.04/0.32 0.04/0.32 with precondition: [E=2,F=G,F>=1,A>=C,C>=F+1] 0.04/0.32 0.04/0.32 * Chain [[13],14]: 1*it(13)+0 0.04/0.32 Such that:it(13) =< C 0.04/0.32 0.04/0.32 with precondition: [E=3,C>=1,A>=C] 0.04/0.32 0.04/0.32 * Chain [15]: 0 0.04/0.32 with precondition: [E=2,C=F,C=G,C>=1,A>=C] 0.04/0.32 0.04/0.32 * Chain [14]: 0 0.04/0.32 with precondition: [E=3,A>=1,A>=C] 0.04/0.32 0.04/0.32 0.04/0.32 #### Cost of chains of evalEx3bb4in(A,B,C,E,F,G,H): 0.04/0.32 * Chain [[17,18]]...: 2*it(17)+1*it(18)+0 0.04/0.32 Such that:aux(3) =< A 0.04/0.32 it(17) =< aux(3) 0.04/0.32 0.04/0.32 with precondition: [A>=1] 0.04/0.32 0.04/0.32 * Chain [[17,18],22]: 2*it(17)+1*it(18)+0 0.04/0.32 Such that:aux(4) =< A 0.04/0.32 it(17) =< aux(4) 0.04/0.32 0.04/0.32 with precondition: [E=3,A>=1] 0.04/0.32 0.04/0.32 * Chain [[17,18],21]: 3*it(17)+1*it(18)+0 0.04/0.32 Such that:aux(5) =< A 0.04/0.32 it(17) =< aux(5) 0.04/0.32 0.04/0.32 with precondition: [E=3,A>=1] 0.04/0.32 0.04/0.32 * Chain [[17,18],19,22]: 3*it(17)+1*it(18)+1 0.04/0.32 Such that:aux(6) =< A 0.04/0.32 it(17) =< aux(6) 0.04/0.32 0.04/0.32 with precondition: [E=3,A>=1] 0.04/0.32 0.04/0.32 * Chain [[17,18],19,20]: 3*it(17)+1*it(18)+1 0.04/0.32 Such that:aux(7) =< A 0.04/0.32 it(17) =< aux(7) 0.04/0.32 0.04/0.32 with precondition: [E=4,F=0,H=0,A>=1] 0.04/0.32 0.04/0.32 * Chain [22]: 0 0.04/0.32 with precondition: [E=3] 0.04/0.32 0.04/0.32 * Chain [21]: 1*s(4)+0 0.04/0.32 Such that:s(4) =< A 0.04/0.32 0.04/0.32 with precondition: [E=3,A>=1] 0.04/0.32 0.04/0.32 * Chain [20]: 0 0.04/0.32 with precondition: [E=4,G=B,H=C,A=F,0>=A] 0.04/0.32 0.04/0.32 * Chain [19,22]: 1*s(5)+1 0.04/0.32 Such that:s(5) =< A 0.04/0.32 0.04/0.32 with precondition: [E=3,A>=1] 0.04/0.32 0.04/0.32 * Chain [19,20]: 1*s(5)+1 0.04/0.32 Such that:s(5) =< A 0.04/0.32 0.04/0.32 with precondition: [E=4,F=0,H=0,A>=1] 0.04/0.32 0.04/0.32 0.04/0.32 #### Cost of chains of evalEx3bb4in_loop_cont(A,B,C,D,E): 0.04/0.32 * Chain [24]: 0 0.04/0.32 with precondition: [A=3] 0.04/0.32 0.04/0.32 * Chain [23]: 0 0.04/0.32 with precondition: [A=4] 0.04/0.32 0.04/0.32 0.04/0.32 #### Cost of chains of evalEx3entryin(A,B,C,E): 0.04/0.32 * Chain [28]: 0 0.04/0.32 with precondition: [] 0.04/0.32 0.04/0.32 * Chain [27]: 0 0.04/0.32 with precondition: [0>=A] 0.04/0.32 0.04/0.32 * Chain [26]: 14*s(22)+4*s(23)+1 0.04/0.32 Such that:aux(10) =< A 0.04/0.32 s(22) =< aux(10) 0.04/0.32 0.04/0.32 with precondition: [A>=1] 0.04/0.32 0.04/0.32 * Chain [25]...: 4*s(28)+2*s(29)+0 0.04/0.32 Such that:aux(11) =< A 0.04/0.32 s(28) =< aux(11) 0.04/0.32 0.04/0.32 with precondition: [A>=1] 0.04/0.32 0.04/0.32 0.04/0.32 #### Cost of chains of evalEx3start(A,B,C,E): 0.04/0.32 * Chain [32]: 0 0.04/0.32 with precondition: [] 0.04/0.32 0.04/0.32 * Chain [31]: 0 0.04/0.32 with precondition: [0>=A] 0.04/0.32 0.04/0.32 * Chain [30]: 14*s(34)+4*s(35)+1 0.04/0.32 Such that:s(33) =< A 0.04/0.32 s(34) =< s(33) 0.04/0.32 0.04/0.32 with precondition: [A>=1] 0.04/0.32 0.04/0.32 * Chain [29]...: 4*s(37)+2*s(38)+0 0.04/0.32 Such that:s(36) =< A 0.04/0.32 s(37) =< s(36) 0.04/0.32 0.04/0.32 with precondition: [A>=1] 0.04/0.32 0.04/0.32 0.04/0.32 Closed-form bounds of evalEx3start(A,B,C,E): 0.04/0.32 ------------------------------------- 0.04/0.32 * Chain [32] with precondition: [] 0.04/0.32 - Upper bound: 0 0.04/0.32 - Complexity: constant 0.04/0.32 * Chain [31] with precondition: [0>=A] 0.04/0.32 - Upper bound: 0 0.04/0.32 - Complexity: constant 0.04/0.32 * Chain [30] with precondition: [A>=1] 0.04/0.32 - Upper bound: inf 0.04/0.32 - Complexity: infinity 0.04/0.32 * Chain [29]... with precondition: [A>=1] 0.04/0.32 - Upper bound: inf 0.04/0.32 - Complexity: infinity 0.04/0.32 0.04/0.32 ### Maximum cost of evalEx3start(A,B,C,E): inf 0.04/0.32 Asymptotic class: infinity 0.04/0.32 * Total analysis performed in 247 ms. 0.04/0.32 0.04/0.42 EOF