0.03/0.24 MAYBE 0.03/0.24 0.03/0.24 Preprocessing Cost Relations 0.03/0.24 ===================================== 0.03/0.24 0.03/0.24 #### Computed strongly connected components 0.03/0.24 0. recursive : [f2/4] 0.03/0.24 1. recursive : [f2_loop_cont/7,f300/6] 0.03/0.24 2. non_recursive : [exit_location/1] 0.03/0.24 3. non_recursive : [f1/4] 0.03/0.24 4. non_recursive : [f300_loop_cont/5] 0.03/0.24 5. non_recursive : [f3/4] 0.03/0.24 0.03/0.24 #### Obtained direct recursion through partial evaluation 0.03/0.24 0. SCC is partially evaluated into f2/4 0.03/0.24 1. SCC is partially evaluated into f300/6 0.03/0.24 2. SCC is completely evaluated into other SCCs 0.03/0.24 3. SCC is completely evaluated into other SCCs 0.03/0.24 4. SCC is partially evaluated into f300_loop_cont/5 0.03/0.24 5. SCC is partially evaluated into f3/4 0.03/0.24 0.03/0.24 Control-Flow Refinement of Cost Relations 0.03/0.24 ===================================== 0.03/0.24 0.03/0.24 ### Specialization of cost equations f2/4 0.03/0.24 * CE 10 is refined into CE [11] 0.03/0.24 * CE 9 is refined into CE [12] 0.03/0.24 * CE 8 is refined into CE [13] 0.03/0.24 0.03/0.24 0.03/0.24 ### Cost equations --> "Loop" of f2/4 0.03/0.24 * CEs [13] --> Loop 11 0.03/0.24 * CEs [11] --> Loop 12 0.03/0.24 * CEs [12] --> Loop 13 0.03/0.24 0.03/0.24 ### Ranking functions of CR f2(A,B,E,F) 0.03/0.24 0.03/0.24 #### Partial ranking functions of CR f2(A,B,E,F) 0.03/0.24 0.03/0.24 0.03/0.24 ### Specialization of cost equations f300/6 0.03/0.24 * CE 4 is refined into CE [14] 0.03/0.24 * CE 2 is refined into CE [15,16,17] 0.03/0.24 * CE 5 is refined into CE [18] 0.03/0.24 * CE 3 is refined into CE [19,20] 0.03/0.24 0.03/0.24 0.03/0.24 ### Cost equations --> "Loop" of f300/6 0.03/0.24 * CEs [20] --> Loop 14 0.03/0.24 * CEs [19] --> Loop 15 0.03/0.24 * CEs [14] --> Loop 16 0.03/0.24 * CEs [16] --> Loop 17 0.03/0.24 * CEs [15] --> Loop 18 0.03/0.24 * CEs [18] --> Loop 19 0.03/0.24 * CEs [17] --> Loop 20 0.03/0.24 0.03/0.24 ### Ranking functions of CR f300(A,B,C,E,F,G) 0.03/0.24 0.03/0.24 #### Partial ranking functions of CR f300(A,B,C,E,F,G) 0.03/0.24 0.03/0.24 0.03/0.24 ### Specialization of cost equations f300_loop_cont/5 0.03/0.24 * CE 6 is refined into CE [21] 0.03/0.24 * CE 7 is refined into CE [22] 0.03/0.24 0.03/0.24 0.03/0.24 ### Cost equations --> "Loop" of f300_loop_cont/5 0.03/0.24 * CEs [21] --> Loop 21 0.03/0.24 * CEs [22] --> Loop 22 0.03/0.24 0.03/0.24 ### Ranking functions of CR f300_loop_cont(A,B,C,D,E) 0.03/0.24 0.03/0.24 #### Partial ranking functions of CR f300_loop_cont(A,B,C,D,E) 0.03/0.24 0.03/0.24 0.03/0.24 ### Specialization of cost equations f3/4 0.03/0.24 * CE 1 is refined into CE [23,24,25,26,27,28,29,30,31,32,33] 0.03/0.24 0.03/0.24 0.03/0.24 ### Cost equations --> "Loop" of f3/4 0.03/0.24 * CEs [32,33] --> Loop 23 0.03/0.24 * CEs [29,30,31] --> Loop 24 0.03/0.24 * CEs [27] --> Loop 25 0.03/0.24 * CEs [26] --> Loop 26 0.03/0.24 * CEs [25] --> Loop 27 0.03/0.24 * CEs [24,28] --> Loop 28 0.03/0.24 * CEs [23] --> Loop 29 0.03/0.24 0.03/0.24 ### Ranking functions of CR f3(A,B,C,E) 0.03/0.24 0.03/0.24 #### Partial ranking functions of CR f3(A,B,C,E) 0.03/0.24 0.03/0.24 0.03/0.24 Computing Bounds 0.03/0.24 ===================================== 0.03/0.24 0.03/0.24 #### Cost of chains of f2(A,B,E,F): 0.03/0.24 * Chain [[11]]...: 1*it(11)+0 0.03/0.24 with precondition: [29>=A,19>=B,E>=2,3>=E] 0.03/0.24 0.03/0.24 * Chain [[11],12]: 1*it(11)+0 0.03/0.24 with precondition: [E=3,29>=A,19>=B] 0.03/0.24 0.03/0.24 * Chain [13]: 0 0.03/0.24 with precondition: [E=2,B=F+1,19>=B,A>=30] 0.03/0.24 0.03/0.24 * Chain [12]: 0 0.03/0.24 with precondition: [E=3,19>=B] 0.03/0.24 0.03/0.24 0.03/0.24 #### Cost of chains of f300(A,B,C,E,F,G): 0.03/0.24 * Chain [[15]]...: 1*it(15)+0 0.03/0.24 with precondition: [A>=30,19>=B] 0.03/0.24 0.03/0.24 * Chain [[15],19]: 1*it(15)+0 0.03/0.24 with precondition: [E=3,19>=B,A>=30] 0.03/0.24 0.03/0.24 * Chain [[15],17]: 1*it(15)+0 0.03/0.24 with precondition: [E=3,19>=B,A>=30] 0.03/0.24 0.03/0.24 * Chain [[14]]...: 2*it(14)+0 0.03/0.24 with precondition: [29>=A,19>=B] 0.03/0.24 0.03/0.24 * Chain [[14],20]...: 3*it(14)+0 0.03/0.24 with precondition: [E=3,29>=A,19>=B] 0.03/0.24 0.03/0.24 * Chain [[14],19]: 2*it(14)+0 0.03/0.24 with precondition: [E=3,29>=A,19>=B] 0.03/0.24 0.03/0.24 * Chain [[14],18]: 3*it(14)+0 0.03/0.24 with precondition: [E=3,29>=A,19>=B] 0.03/0.24 0.03/0.24 * Chain [[14],17]: 2*it(14)+0 0.03/0.24 with precondition: [E=3,29>=A,19>=B] 0.03/0.24 0.03/0.24 * Chain [[14],16]: 2*it(14)+0 0.03/0.24 with precondition: [E=4,29>=A,19>=B,F>=20] 0.03/0.24 0.03/0.24 * Chain [20]...: 1*s(4)+0 0.03/0.24 with precondition: [E=3,29>=A,19>=B] 0.03/0.24 0.03/0.24 * Chain [19]: 0 0.03/0.24 with precondition: [E=3] 0.03/0.24 0.03/0.24 * Chain [18]: 1*s(5)+0 0.03/0.24 with precondition: [E=3,29>=A,19>=B] 0.03/0.24 0.03/0.24 * Chain [17]: 0 0.03/0.24 with precondition: [E=3,19>=B] 0.03/0.24 0.03/0.24 * Chain [16]: 0 0.03/0.24 with precondition: [E=4,B=F,B>=20] 0.03/0.24 0.03/0.24 0.03/0.24 #### Cost of chains of f300_loop_cont(A,B,C,D,E): 0.03/0.24 * Chain [22]: 0 0.03/0.24 with precondition: [A=3] 0.03/0.24 0.03/0.24 * Chain [21]: 0 0.03/0.24 with precondition: [A=4] 0.03/0.24 0.03/0.24 0.03/0.24 #### Cost of chains of f3(A,B,C,E): 0.03/0.24 * Chain [29]: 0 0.03/0.24 with precondition: [] 0.03/0.24 0.03/0.24 * Chain [28]: 1*aux(4)+0 0.03/0.24 with precondition: [29>=A,19>=B] 0.03/0.24 0.03/0.24 * Chain [27]: 0 0.03/0.24 with precondition: [19>=B] 0.03/0.24 0.03/0.24 * Chain [26]: 1*s(16)+0 0.03/0.24 with precondition: [19>=B,A>=30] 0.03/0.24 0.03/0.24 * Chain [25]: 0 0.03/0.24 with precondition: [B>=20] 0.03/0.24 0.03/0.24 * Chain [24]...: 1*aux(5)+0 0.03/0.24 with precondition: [29>=A,19>=B] 0.03/0.24 0.03/0.24 * Chain [23]...: 1*aux(6)+0 0.03/0.24 with precondition: [19>=B,A>=30] 0.03/0.24 0.03/0.24 0.03/0.24 Closed-form bounds of f3(A,B,C,E): 0.03/0.24 ------------------------------------- 0.03/0.24 * Chain [29] with precondition: [] 0.03/0.24 - Upper bound: 0 0.03/0.24 - Complexity: constant 0.03/0.24 * Chain [28] with precondition: [29>=A,19>=B] 0.03/0.24 - Upper bound: inf 0.03/0.24 - Complexity: infinity 0.03/0.24 * Chain [27] with precondition: [19>=B] 0.03/0.24 - Upper bound: 0 0.03/0.24 - Complexity: constant 0.03/0.24 * Chain [26] with precondition: [19>=B,A>=30] 0.03/0.24 - Upper bound: inf 0.03/0.24 - Complexity: infinity 0.03/0.24 * Chain [25] with precondition: [B>=20] 0.03/0.24 - Upper bound: 0 0.03/0.24 - Complexity: constant 0.03/0.24 * Chain [24]... with precondition: [29>=A,19>=B] 0.03/0.24 - Upper bound: inf 0.03/0.24 - Complexity: infinity 0.03/0.24 * Chain [23]... with precondition: [19>=B,A>=30] 0.03/0.24 - Upper bound: inf 0.03/0.24 - Complexity: infinity 0.03/0.24 0.03/0.24 ### Maximum cost of f3(A,B,C,E): inf 0.03/0.24 Asymptotic class: infinity 0.03/0.24 * Total analysis performed in 177 ms. 0.03/0.24 0.03/0.34 EOF