0.05/0.14 MAYBE 0.05/0.14 0.05/0.14 Preprocessing Cost Relations 0.05/0.14 ===================================== 0.05/0.14 0.05/0.14 #### Computed strongly connected components 0.05/0.14 0. recursive : [eval_catmouse_bb1_in/4,eval_catmouse_bb2_in/4] 0.05/0.14 1. non_recursive : [eval_catmouse_stop/1] 0.05/0.14 2. non_recursive : [eval_catmouse_bb3_in/1] 0.05/0.14 3. non_recursive : [eval_catmouse_bb1_in_loop_cont/2] 0.05/0.14 4. non_recursive : [eval_catmouse_bb0_in/3] 0.05/0.14 5. non_recursive : [eval_catmouse_start/3] 0.05/0.14 0.05/0.14 #### Obtained direct recursion through partial evaluation 0.05/0.14 0. SCC is partially evaluated into eval_catmouse_bb1_in/4 0.05/0.14 1. SCC is completely evaluated into other SCCs 0.05/0.14 2. SCC is completely evaluated into other SCCs 0.05/0.14 3. SCC is completely evaluated into other SCCs 0.05/0.14 4. SCC is partially evaluated into eval_catmouse_bb0_in/3 0.05/0.14 5. SCC is partially evaluated into eval_catmouse_start/3 0.05/0.14 0.05/0.14 Control-Flow Refinement of Cost Relations 0.05/0.14 ===================================== 0.05/0.14 0.05/0.14 ### Specialization of cost equations eval_catmouse_bb1_in/4 0.05/0.14 * CE 5 is refined into CE [6] 0.05/0.14 * CE 3 is refined into CE [7] 0.05/0.14 * CE 4 is refined into CE [8] 0.05/0.14 0.05/0.14 0.05/0.14 ### Cost equations --> "Loop" of eval_catmouse_bb1_in/4 0.05/0.14 * CEs [7] --> Loop 6 0.05/0.14 * CEs [8] --> Loop 7 0.05/0.14 * CEs [6] --> Loop 8 0.05/0.14 0.05/0.14 ### Ranking functions of CR eval_catmouse_bb1_in(V_m,V_n,V_x_0,B) 0.05/0.14 0.05/0.14 #### Partial ranking functions of CR eval_catmouse_bb1_in(V_m,V_n,V_x_0,B) 0.05/0.14 * Partial RF of phase [6,7]: 0.05/0.14 - RF of loop [6:1]: 0.05/0.14 -V_m+V_x_0 depends on loops [7:1] 0.05/0.14 - RF of loop [7:1]: 0.05/0.14 V_m-V_x_0+1 depends on loops [6:1] 0.05/0.14 V_n-V_x_0+1 depends on loops [6:1] 0.05/0.14 0.05/0.14 0.05/0.14 ### Specialization of cost equations eval_catmouse_bb0_in/3 0.05/0.14 * CE 2 is refined into CE [9,10,11] 0.05/0.14 0.05/0.14 0.05/0.14 ### Cost equations --> "Loop" of eval_catmouse_bb0_in/3 0.05/0.14 * CEs [11] --> Loop 9 0.05/0.14 * CEs [9] --> Loop 10 0.05/0.14 * CEs [10] --> Loop 11 0.05/0.14 0.05/0.14 ### Ranking functions of CR eval_catmouse_bb0_in(V_m,V_n,B) 0.05/0.14 0.05/0.14 #### Partial ranking functions of CR eval_catmouse_bb0_in(V_m,V_n,B) 0.05/0.14 0.05/0.14 0.05/0.14 ### Specialization of cost equations eval_catmouse_start/3 0.05/0.14 * CE 1 is refined into CE [12,13,14] 0.05/0.14 0.05/0.14 0.05/0.14 ### Cost equations --> "Loop" of eval_catmouse_start/3 0.05/0.14 * CEs [14] --> Loop 12 0.05/0.14 * CEs [13] --> Loop 13 0.05/0.14 * CEs [12] --> Loop 14 0.05/0.14 0.05/0.14 ### Ranking functions of CR eval_catmouse_start(V_m,V_n,B) 0.05/0.14 0.05/0.14 #### Partial ranking functions of CR eval_catmouse_start(V_m,V_n,B) 0.05/0.14 0.05/0.14 0.05/0.14 Computing Bounds 0.05/0.14 ===================================== 0.05/0.14 0.05/0.14 #### Cost of chains of eval_catmouse_bb1_in(V_m,V_n,V_x_0,B): 0.05/0.14 * Chain [[6,7]]...: 2*it(6)+0 0.05/0.14 with precondition: [V_n>=V_x_0,B=2] 0.05/0.14 0.05/0.14 * Chain [[6,7],8]: 2*it(6)+0 0.05/0.14 with precondition: [B=2,V_m>=V_n,V_n>=V_x_0] 0.05/0.14 0.05/0.14 * Chain [8]: 0 0.05/0.14 with precondition: [B=2,V_x_0>=V_n+1] 0.05/0.14 0.05/0.14 0.05/0.14 #### Cost of chains of eval_catmouse_bb0_in(V_m,V_n,B): 0.05/0.14 * Chain [11]: 0 0.05/0.14 with precondition: [0>=V_n+1] 0.05/0.14 0.05/0.14 * Chain [10]: 2*s(1)+0 0.05/0.14 with precondition: [V_n>=0,V_m>=V_n] 0.05/0.14 0.05/0.14 * Chain [9]...: 2*s(2)+0 0.05/0.14 with precondition: [V_n>=0] 0.05/0.14 0.05/0.14 0.05/0.14 #### Cost of chains of eval_catmouse_start(V_m,V_n,B): 0.05/0.14 * Chain [14]: 0 0.05/0.14 with precondition: [0>=V_n+1] 0.05/0.14 0.05/0.14 * Chain [13]: 2*s(3)+0 0.05/0.14 with precondition: [V_n>=0,V_m>=V_n] 0.05/0.14 0.05/0.14 * Chain [12]...: 2*s(4)+0 0.05/0.14 with precondition: [V_n>=0] 0.05/0.14 0.05/0.14 0.05/0.14 Closed-form bounds of eval_catmouse_start(V_m,V_n,B): 0.05/0.14 ------------------------------------- 0.05/0.14 * Chain [14] with precondition: [0>=V_n+1] 0.05/0.14 - Upper bound: 0 0.05/0.14 - Complexity: constant 0.05/0.14 * Chain [13] with precondition: [V_n>=0,V_m>=V_n] 0.05/0.14 - Upper bound: inf 0.05/0.14 - Complexity: infinity 0.05/0.14 * Chain [12]... with precondition: [V_n>=0] 0.05/0.14 - Upper bound: inf 0.05/0.14 - Complexity: infinity 0.05/0.14 0.05/0.14 ### Maximum cost of eval_catmouse_start(V_m,V_n,B): inf 0.05/0.14 Asymptotic class: infinity 0.05/0.14 * Total analysis performed in 75 ms. 0.05/0.14 0.05/0.24 EOF