0.03/0.18 MAYBE 0.03/0.18 0.03/0.18 Preprocessing Cost Relations 0.03/0.18 ===================================== 0.03/0.18 0.03/0.18 #### Computed strongly connected components 0.03/0.18 0. recursive : [eval_catmouse_bb1_in/5,eval_catmouse_bb2_in/5] 0.03/0.18 1. non_recursive : [eval_catmouse_stop/4] 0.03/0.18 2. non_recursive : [eval_catmouse_bb3_in/4] 0.03/0.18 3. non_recursive : [exit_location/1] 0.03/0.18 4. non_recursive : [eval_catmouse_bb1_in_loop_cont/5] 0.03/0.18 5. non_recursive : [eval_catmouse_5/4] 0.03/0.18 6. non_recursive : [eval_catmouse_4/4] 0.03/0.18 7. non_recursive : [eval_catmouse_3/4] 0.03/0.18 8. non_recursive : [eval_catmouse_2/4] 0.03/0.18 9. non_recursive : [eval_catmouse_1/4] 0.03/0.18 10. non_recursive : [eval_catmouse_0/4] 0.03/0.18 11. non_recursive : [eval_catmouse_bb0_in/4] 0.03/0.18 12. non_recursive : [eval_catmouse_start/4] 0.03/0.18 0.03/0.18 #### Obtained direct recursion through partial evaluation 0.03/0.18 0. SCC is partially evaluated into eval_catmouse_bb1_in/5 0.03/0.18 1. SCC is completely evaluated into other SCCs 0.03/0.18 2. SCC is completely evaluated into other SCCs 0.03/0.18 3. SCC is completely evaluated into other SCCs 0.03/0.18 4. SCC is partially evaluated into eval_catmouse_bb1_in_loop_cont/5 0.03/0.18 5. SCC is partially evaluated into eval_catmouse_5/4 0.03/0.18 6. SCC is completely evaluated into other SCCs 0.03/0.18 7. SCC is completely evaluated into other SCCs 0.03/0.18 8. SCC is completely evaluated into other SCCs 0.03/0.18 9. SCC is completely evaluated into other SCCs 0.03/0.18 10. SCC is completely evaluated into other SCCs 0.03/0.18 11. SCC is completely evaluated into other SCCs 0.03/0.18 12. SCC is partially evaluated into eval_catmouse_start/4 0.03/0.18 0.03/0.18 Control-Flow Refinement of Cost Relations 0.03/0.18 ===================================== 0.03/0.18 0.03/0.18 ### Specialization of cost equations eval_catmouse_bb1_in/5 0.03/0.18 * CE 6 is refined into CE [9] 0.03/0.18 * CE 5 is refined into CE [10] 0.03/0.18 * CE 3 is refined into CE [11] 0.03/0.18 * CE 4 is refined into CE [12] 0.03/0.18 0.03/0.18 0.03/0.18 ### Cost equations --> "Loop" of eval_catmouse_bb1_in/5 0.03/0.18 * CEs [11] --> Loop 9 0.03/0.18 * CEs [12] --> Loop 10 0.03/0.18 * CEs [9] --> Loop 11 0.03/0.18 * CEs [10] --> Loop 12 0.03/0.18 0.03/0.18 ### Ranking functions of CR eval_catmouse_bb1_in(V_m,V_n,V_x_0,B,C) 0.03/0.18 0.03/0.18 #### Partial ranking functions of CR eval_catmouse_bb1_in(V_m,V_n,V_x_0,B,C) 0.03/0.18 * Partial RF of phase [9,10]: 0.03/0.18 - RF of loop [9:1]: 0.03/0.18 -V_m+V_x_0 depends on loops [10:1] 0.03/0.18 - RF of loop [10:1]: 0.03/0.18 V_m-V_x_0+1 depends on loops [9:1] 0.03/0.18 V_n-V_x_0+1 depends on loops [9:1] 0.03/0.18 0.03/0.18 0.03/0.18 ### Specialization of cost equations eval_catmouse_bb1_in_loop_cont/5 0.03/0.18 * CE 8 is refined into CE [13] 0.03/0.18 * CE 7 is refined into CE [14] 0.03/0.18 0.03/0.18 0.03/0.18 ### Cost equations --> "Loop" of eval_catmouse_bb1_in_loop_cont/5 0.03/0.18 * CEs [13] --> Loop 13 0.03/0.18 * CEs [14] --> Loop 14 0.03/0.18 0.03/0.18 ### Ranking functions of CR eval_catmouse_bb1_in_loop_cont(A,B,C,D,E) 0.03/0.18 0.03/0.18 #### Partial ranking functions of CR eval_catmouse_bb1_in_loop_cont(A,B,C,D,E) 0.03/0.18 0.03/0.18 0.03/0.18 ### Specialization of cost equations eval_catmouse_5/4 0.03/0.18 * CE 2 is refined into CE [15,16,17,18,19,20] 0.03/0.18 0.03/0.18 0.03/0.18 ### Cost equations --> "Loop" of eval_catmouse_5/4 0.03/0.18 * CEs [19,20] --> Loop 15 0.03/0.18 * CEs [15] --> Loop 16 0.03/0.18 * CEs [18] --> Loop 17 0.03/0.18 * CEs [16] --> Loop 18 0.03/0.18 * CEs [17] --> Loop 19 0.03/0.18 0.03/0.18 ### Ranking functions of CR eval_catmouse_5(V_m,V_n,V_x_0,B) 0.03/0.18 0.03/0.18 #### Partial ranking functions of CR eval_catmouse_5(V_m,V_n,V_x_0,B) 0.03/0.18 0.03/0.18 0.03/0.18 ### Specialization of cost equations eval_catmouse_start/4 0.03/0.18 * CE 1 is refined into CE [21,22,23,24,25] 0.03/0.18 0.03/0.18 0.03/0.18 ### Cost equations --> "Loop" of eval_catmouse_start/4 0.03/0.18 * CEs [25] --> Loop 20 0.03/0.18 * CEs [24] --> Loop 21 0.03/0.18 * CEs [23] --> Loop 22 0.03/0.18 * CEs [22] --> Loop 23 0.03/0.18 * CEs [21] --> Loop 24 0.03/0.18 0.03/0.18 ### Ranking functions of CR eval_catmouse_start(V_m,V_n,V_x_0,B) 0.03/0.18 0.03/0.18 #### Partial ranking functions of CR eval_catmouse_start(V_m,V_n,V_x_0,B) 0.03/0.18 0.03/0.18 0.03/0.18 Computing Bounds 0.03/0.18 ===================================== 0.03/0.18 0.03/0.18 #### Cost of chains of eval_catmouse_bb1_in(V_m,V_n,V_x_0,B,C): 0.03/0.18 * Chain [[9,10]]...: 2*it(9)+0 0.03/0.18 with precondition: [V_n>=V_x_0] 0.03/0.18 0.03/0.18 * Chain [[9,10],12]: 2*it(9)+0 0.03/0.18 with precondition: [B=2,V_n+1=C,V_m>=V_n,V_n>=V_x_0] 0.03/0.18 0.03/0.18 * Chain [[9,10],11]: 2*it(9)+0 0.03/0.18 with precondition: [B=3,V_n>=V_x_0] 0.03/0.18 0.03/0.18 * Chain [12]: 0 0.03/0.18 with precondition: [B=2,V_x_0=C,V_x_0>=V_n+1] 0.03/0.18 0.03/0.18 * Chain [11]: 0 0.03/0.18 with precondition: [B=3] 0.03/0.18 0.03/0.18 0.03/0.18 #### Cost of chains of eval_catmouse_bb1_in_loop_cont(A,B,C,D,E): 0.03/0.18 * Chain [14]: 0 0.03/0.18 with precondition: [A=2] 0.03/0.18 0.03/0.18 * Chain [13]: 0 0.03/0.18 with precondition: [A=3] 0.03/0.18 0.03/0.18 0.03/0.18 #### Cost of chains of eval_catmouse_5(V_m,V_n,V_x_0,B): 0.03/0.18 * Chain [19]: 0 0.03/0.18 with precondition: [] 0.03/0.18 0.03/0.18 * Chain [18]: 0 0.03/0.18 with precondition: [0>=V_n+1] 0.03/0.18 0.03/0.18 * Chain [17]: 2*s(1)+0 0.03/0.18 with precondition: [V_n>=0] 0.03/0.18 0.03/0.18 * Chain [16]: 2*s(2)+0 0.03/0.18 with precondition: [V_n>=0,V_m>=V_n] 0.03/0.18 0.03/0.18 * Chain [15]...: 1*aux(7)+0 0.03/0.18 with precondition: [V_n>=0] 0.03/0.18 0.03/0.18 0.03/0.18 #### Cost of chains of eval_catmouse_start(V_m,V_n,V_x_0,B): 0.03/0.18 * Chain [24]: 0 0.03/0.18 with precondition: [] 0.03/0.18 0.03/0.18 * Chain [23]: 0 0.03/0.18 with precondition: [0>=V_n+1] 0.03/0.18 0.03/0.18 * Chain [22]: 2*s(5)+0 0.03/0.18 with precondition: [V_n>=0] 0.03/0.18 0.03/0.18 * Chain [21]: 2*s(6)+0 0.03/0.18 with precondition: [V_n>=0,V_m>=V_n] 0.03/0.18 0.03/0.18 * Chain [20]...: 1*s(7)+0 0.03/0.18 with precondition: [V_n>=0] 0.03/0.18 0.03/0.18 0.03/0.18 Closed-form bounds of eval_catmouse_start(V_m,V_n,V_x_0,B): 0.03/0.18 ------------------------------------- 0.03/0.18 * Chain [24] with precondition: [] 0.03/0.18 - Upper bound: 0 0.03/0.18 - Complexity: constant 0.03/0.18 * Chain [23] with precondition: [0>=V_n+1] 0.03/0.18 - Upper bound: 0 0.03/0.18 - Complexity: constant 0.03/0.18 * Chain [22] with precondition: [V_n>=0] 0.03/0.18 - Upper bound: inf 0.03/0.18 - Complexity: infinity 0.03/0.18 * Chain [21] with precondition: [V_n>=0,V_m>=V_n] 0.03/0.18 - Upper bound: inf 0.03/0.18 - Complexity: infinity 0.03/0.18 * Chain [20]... with precondition: [V_n>=0] 0.03/0.18 - Upper bound: inf 0.03/0.18 - Complexity: infinity 0.03/0.18 0.03/0.18 ### Maximum cost of eval_catmouse_start(V_m,V_n,V_x_0,B): inf 0.03/0.18 Asymptotic class: infinity 0.03/0.18 * Total analysis performed in 119 ms. 0.03/0.18 0.03/0.28 EOF