0.04/0.11 WORST_CASE(?,O(1)) 0.04/0.11 0.04/0.11 Preprocessing Cost Relations 0.04/0.11 ===================================== 0.04/0.11 0.04/0.11 #### Computed strongly connected components 0.04/0.11 0. recursive : [eval_nd_loop_0/2,eval_nd_loop_1/3,eval_nd_loop_bb1_in/2] 0.04/0.11 1. non_recursive : [eval_nd_loop_stop/1] 0.04/0.11 2. non_recursive : [eval_nd_loop_bb2_in/1] 0.04/0.11 3. non_recursive : [eval_nd_loop_bb1_in_loop_cont/2] 0.04/0.11 4. non_recursive : [eval_nd_loop_bb0_in/1] 0.04/0.11 5. non_recursive : [eval_nd_loop_start/1] 0.04/0.11 0.04/0.11 #### Obtained direct recursion through partial evaluation 0.04/0.11 0. SCC is partially evaluated into eval_nd_loop_bb1_in/2 0.04/0.11 1. SCC is completely evaluated into other SCCs 0.04/0.11 2. SCC is completely evaluated into other SCCs 0.04/0.11 3. SCC is completely evaluated into other SCCs 0.04/0.11 4. SCC is partially evaluated into eval_nd_loop_bb0_in/1 0.04/0.11 5. SCC is partially evaluated into eval_nd_loop_start/1 0.04/0.11 0.04/0.11 Control-Flow Refinement of Cost Relations 0.04/0.11 ===================================== 0.04/0.11 0.04/0.11 ### Specialization of cost equations eval_nd_loop_bb1_in/2 0.04/0.11 * CE 4 is refined into CE [5] 0.04/0.11 * CE 3 is refined into CE [6] 0.04/0.11 0.04/0.11 0.04/0.11 ### Cost equations --> "Loop" of eval_nd_loop_bb1_in/2 0.04/0.11 * CEs [6] --> Loop 5 0.04/0.11 * CEs [5] --> Loop 6 0.04/0.11 0.04/0.11 ### Ranking functions of CR eval_nd_loop_bb1_in(V_x_0,B) 0.04/0.11 * RF of phase [6]: [-V_x_0+9] 0.04/0.11 0.04/0.11 #### Partial ranking functions of CR eval_nd_loop_bb1_in(V_x_0,B) 0.04/0.11 * Partial RF of phase [6]: 0.04/0.11 - RF of loop [6:1]: 0.04/0.11 -V_x_0+9 0.04/0.11 0.04/0.11 0.04/0.11 ### Specialization of cost equations eval_nd_loop_bb0_in/1 0.04/0.11 * CE 2 is refined into CE [7,8] 0.04/0.11 0.04/0.11 0.04/0.11 ### Cost equations --> "Loop" of eval_nd_loop_bb0_in/1 0.04/0.11 * CEs [7,8] --> Loop 7 0.04/0.11 0.04/0.11 ### Ranking functions of CR eval_nd_loop_bb0_in(B) 0.04/0.11 0.04/0.11 #### Partial ranking functions of CR eval_nd_loop_bb0_in(B) 0.04/0.11 0.04/0.11 0.04/0.11 ### Specialization of cost equations eval_nd_loop_start/1 0.04/0.11 * CE 1 is refined into CE [9] 0.04/0.11 0.04/0.11 0.04/0.11 ### Cost equations --> "Loop" of eval_nd_loop_start/1 0.04/0.11 * CEs [9] --> Loop 8 0.04/0.11 0.04/0.11 ### Ranking functions of CR eval_nd_loop_start(B) 0.04/0.11 0.04/0.11 #### Partial ranking functions of CR eval_nd_loop_start(B) 0.04/0.11 0.04/0.11 0.04/0.11 Computing Bounds 0.04/0.11 ===================================== 0.04/0.11 0.04/0.11 #### Cost of chains of eval_nd_loop_bb1_in(V_x_0,B): 0.04/0.11 * Chain [[6],5]: 1*it(6)+0 0.04/0.11 Such that:it(6) =< -V_x_0+9 0.04/0.11 0.04/0.11 with precondition: [B=2,8>=V_x_0,V_x_0>=0] 0.04/0.11 0.04/0.11 * Chain [5]: 0 0.04/0.11 with precondition: [B=2,V_x_0>=0] 0.04/0.11 0.04/0.11 0.04/0.11 #### Cost of chains of eval_nd_loop_bb0_in(B): 0.04/0.11 * Chain [7]: 9 0.04/0.11 with precondition: [] 0.04/0.11 0.04/0.11 0.04/0.11 #### Cost of chains of eval_nd_loop_start(B): 0.04/0.11 * Chain [8]: 9 0.04/0.11 with precondition: [] 0.04/0.11 0.04/0.11 0.04/0.11 Closed-form bounds of eval_nd_loop_start(B): 0.04/0.11 ------------------------------------- 0.04/0.11 * Chain [8] with precondition: [] 0.04/0.11 - Upper bound: 9 0.04/0.11 - Complexity: constant 0.04/0.11 0.04/0.11 ### Maximum cost of eval_nd_loop_start(B): 9 0.04/0.11 Asymptotic class: constant 0.04/0.11 * Total analysis performed in 37 ms. 0.04/0.11 0.04/0.21 EOF