0.03/0.18 MAYBE 0.03/0.18 0.03/0.19 Preprocessing Cost Relations 0.03/0.19 ===================================== 0.03/0.19 0.03/0.19 #### Computed strongly connected components 0.03/0.19 0. recursive : [eval_speedFails2_bb1_in/4,eval_speedFails2_bb2_in/4] 0.03/0.19 1. non_recursive : [eval_speedFails2_stop/4] 0.03/0.19 2. non_recursive : [eval_speedFails2_bb3_in/4] 0.03/0.19 3. non_recursive : [exit_location/1] 0.03/0.19 4. non_recursive : [eval_speedFails2_bb1_in_loop_cont/5] 0.03/0.19 5. non_recursive : [eval_speedFails2_4/4] 0.03/0.19 6. non_recursive : [eval_speedFails2_3/4] 0.03/0.19 7. non_recursive : [eval_speedFails2_2/4] 0.03/0.19 8. non_recursive : [eval_speedFails2_1/4] 0.03/0.19 9. non_recursive : [eval_speedFails2_0/4] 0.03/0.19 10. non_recursive : [eval_speedFails2_bb0_in/4] 0.03/0.19 11. non_recursive : [eval_speedFails2_start/4] 0.03/0.19 0.03/0.19 #### Obtained direct recursion through partial evaluation 0.03/0.19 0. SCC is partially evaluated into eval_speedFails2_bb1_in/4 0.03/0.19 1. SCC is completely evaluated into other SCCs 0.03/0.19 2. SCC is completely evaluated into other SCCs 0.03/0.19 3. SCC is completely evaluated into other SCCs 0.03/0.19 4. SCC is partially evaluated into eval_speedFails2_bb1_in_loop_cont/5 0.03/0.19 5. SCC is partially evaluated into eval_speedFails2_4/4 0.03/0.19 6. SCC is completely evaluated into other SCCs 0.03/0.19 7. SCC is completely evaluated into other SCCs 0.03/0.19 8. SCC is completely evaluated into other SCCs 0.03/0.19 9. SCC is completely evaluated into other SCCs 0.03/0.19 10. SCC is completely evaluated into other SCCs 0.03/0.19 11. SCC is partially evaluated into eval_speedFails2_start/4 0.03/0.19 0.03/0.19 Control-Flow Refinement of Cost Relations 0.03/0.19 ===================================== 0.03/0.19 0.03/0.19 ### Specialization of cost equations eval_speedFails2_bb1_in/4 0.03/0.19 * CE 6 is refined into CE [9] 0.03/0.19 * CE 5 is refined into CE [10] 0.03/0.19 * CE 3 is refined into CE [11] 0.03/0.19 * CE 4 is refined into CE [12] 0.03/0.19 0.03/0.19 0.03/0.19 ### Cost equations --> "Loop" of eval_speedFails2_bb1_in/4 0.03/0.19 * CEs [11] --> Loop 9 0.03/0.19 * CEs [12] --> Loop 10 0.03/0.19 * CEs [9] --> Loop 11 0.03/0.19 * CEs [10] --> Loop 12 0.03/0.19 0.03/0.19 ### Ranking functions of CR eval_speedFails2_bb1_in(V_i_0,V_n,B,C) 0.03/0.19 * RF of phase [10]: [-V_i_0+V_n] 0.03/0.19 0.03/0.19 #### Partial ranking functions of CR eval_speedFails2_bb1_in(V_i_0,V_n,B,C) 0.03/0.19 * Partial RF of phase [10]: 0.03/0.19 - RF of loop [10:1]: 0.03/0.19 -V_i_0+V_n 0.03/0.19 0.03/0.19 0.03/0.19 ### Specialization of cost equations eval_speedFails2_bb1_in_loop_cont/5 0.03/0.19 * CE 8 is refined into CE [13] 0.03/0.19 * CE 7 is refined into CE [14] 0.03/0.19 0.03/0.19 0.03/0.19 ### Cost equations --> "Loop" of eval_speedFails2_bb1_in_loop_cont/5 0.03/0.19 * CEs [13] --> Loop 13 0.03/0.19 * CEs [14] --> Loop 14 0.03/0.19 0.03/0.19 ### Ranking functions of CR eval_speedFails2_bb1_in_loop_cont(A,B,C,D,E) 0.03/0.19 0.03/0.19 #### Partial ranking functions of CR eval_speedFails2_bb1_in_loop_cont(A,B,C,D,E) 0.03/0.19 0.03/0.19 0.03/0.19 ### Specialization of cost equations eval_speedFails2_4/4 0.03/0.19 * CE 2 is refined into CE [15,16,17,18,19,20,21] 0.03/0.19 0.03/0.19 0.03/0.19 ### Cost equations --> "Loop" of eval_speedFails2_4/4 0.03/0.19 * CEs [20,21] --> Loop 15 0.03/0.19 * CEs [16,18] --> Loop 16 0.03/0.19 * CEs [19] --> Loop 17 0.03/0.19 * CEs [15] --> Loop 18 0.03/0.19 * CEs [17] --> Loop 19 0.03/0.19 0.03/0.19 ### Ranking functions of CR eval_speedFails2_4(V_i_0,V_n,V_x,B) 0.03/0.19 0.03/0.19 #### Partial ranking functions of CR eval_speedFails2_4(V_i_0,V_n,V_x,B) 0.03/0.19 0.03/0.19 0.03/0.19 ### Specialization of cost equations eval_speedFails2_start/4 0.03/0.19 * CE 1 is refined into CE [22,23,24,25,26] 0.03/0.19 0.03/0.19 0.03/0.19 ### Cost equations --> "Loop" of eval_speedFails2_start/4 0.03/0.19 * CEs [26] --> Loop 20 0.03/0.19 * CEs [25] --> Loop 21 0.03/0.19 * CEs [24] --> Loop 22 0.03/0.19 * CEs [23] --> Loop 23 0.03/0.19 * CEs [22] --> Loop 24 0.03/0.19 0.03/0.19 ### Ranking functions of CR eval_speedFails2_start(V_i_0,V_n,V_x,B) 0.03/0.19 0.03/0.19 #### Partial ranking functions of CR eval_speedFails2_start(V_i_0,V_n,V_x,B) 0.03/0.19 0.03/0.19 0.03/0.19 Computing Bounds 0.03/0.19 ===================================== 0.03/0.19 0.03/0.19 #### Cost of chains of eval_speedFails2_bb1_in(V_i_0,V_n,B,C): 0.03/0.19 * Chain [[10],12]: 1*it(10)+0 0.03/0.19 Such that:it(10) =< -V_i_0+C 0.03/0.19 0.03/0.19 with precondition: [B=2,V_n=C,V_n>=V_i_0+1] 0.03/0.19 0.03/0.19 * Chain [[10],11]: 1*it(10)+0 0.03/0.19 Such that:it(10) =< -V_i_0+V_n 0.03/0.19 0.03/0.19 with precondition: [B=3,V_n>=V_i_0+1] 0.03/0.19 0.03/0.19 * Chain [[9]]...: 1*it(9)+0 0.03/0.19 with precondition: [V_i_0>=V_n+1] 0.03/0.19 0.03/0.19 * Chain [[9],11]: 1*it(9)+0 0.03/0.19 with precondition: [B=3,V_i_0>=V_n+1] 0.03/0.19 0.03/0.19 * Chain [12]: 0 0.03/0.19 with precondition: [B=2,V_i_0=V_n,V_i_0=C] 0.03/0.19 0.03/0.19 * Chain [11]: 0 0.03/0.19 with precondition: [B=3] 0.03/0.19 0.03/0.19 0.03/0.19 #### Cost of chains of eval_speedFails2_bb1_in_loop_cont(A,B,C,D,E): 0.03/0.19 * Chain [14]: 0 0.03/0.19 with precondition: [A=2] 0.03/0.19 0.03/0.19 * Chain [13]: 0 0.03/0.19 with precondition: [A=3] 0.03/0.19 0.03/0.19 0.03/0.19 #### Cost of chains of eval_speedFails2_4(V_i_0,V_n,V_x,B): 0.03/0.19 * Chain [19]: 0 0.03/0.19 with precondition: [] 0.03/0.19 0.03/0.19 * Chain [18]: 0 0.03/0.19 with precondition: [V_x=V_n] 0.03/0.19 0.03/0.19 * Chain [17]: 1*s(1)+0 0.03/0.19 with precondition: [V_x>=V_n+1] 0.03/0.19 0.03/0.19 * Chain [16]: 2*s(2)+0 0.03/0.19 Such that:aux(1) =< V_n-V_x 0.03/0.19 s(2) =< aux(1) 0.03/0.19 0.03/0.19 with precondition: [V_n>=V_x+1] 0.03/0.19 0.03/0.19 * Chain [15]...: 1*aux(2)+0 0.03/0.19 with precondition: [V_x>=V_n+1] 0.03/0.19 0.03/0.19 0.03/0.19 #### Cost of chains of eval_speedFails2_start(V_i_0,V_n,V_x,B): 0.03/0.19 * Chain [24]: 0 0.03/0.19 with precondition: [] 0.03/0.19 0.03/0.19 * Chain [23]: 0 0.03/0.19 with precondition: [V_x=V_n] 0.03/0.19 0.03/0.19 * Chain [22]: 1*s(6)+0 0.03/0.19 with precondition: [V_x>=V_n+1] 0.03/0.19 0.03/0.19 * Chain [21]: 2*s(8)+0 0.03/0.19 Such that:s(7) =< V_n-V_x 0.03/0.19 s(8) =< s(7) 0.03/0.19 0.03/0.19 with precondition: [V_n>=V_x+1] 0.03/0.19 0.03/0.19 * Chain [20]...: 1*s(9)+0 0.03/0.19 with precondition: [V_x>=V_n+1] 0.03/0.19 0.03/0.19 0.03/0.19 Closed-form bounds of eval_speedFails2_start(V_i_0,V_n,V_x,B): 0.03/0.19 ------------------------------------- 0.03/0.19 * Chain [24] with precondition: [] 0.03/0.19 - Upper bound: 0 0.03/0.19 - Complexity: constant 0.03/0.19 * Chain [23] with precondition: [V_x=V_n] 0.03/0.19 - Upper bound: 0 0.03/0.19 - Complexity: constant 0.03/0.19 * Chain [22] with precondition: [V_x>=V_n+1] 0.03/0.19 - Upper bound: inf 0.03/0.19 - Complexity: infinity 0.03/0.19 * Chain [21] with precondition: [V_n>=V_x+1] 0.03/0.19 - Upper bound: 2*V_n-2*V_x 0.03/0.19 - Complexity: n 0.03/0.19 * Chain [20]... with precondition: [V_x>=V_n+1] 0.03/0.19 - Upper bound: inf 0.03/0.19 - Complexity: infinity 0.03/0.19 0.03/0.19 ### Maximum cost of eval_speedFails2_start(V_i_0,V_n,V_x,B): inf 0.03/0.19 Asymptotic class: infinity 0.03/0.19 * Total analysis performed in 112 ms. 0.03/0.19 0.03/0.29 EOF