0.05/0.11 WORST_CASE(?,O(1)) 0.05/0.11 0.05/0.11 Preprocessing Cost Relations 0.05/0.11 ===================================== 0.05/0.11 0.05/0.11 #### Computed strongly connected components 0.05/0.11 0. recursive : [eval_foo_bb1_in/3,eval_foo_bb2_in/3] 0.05/0.11 1. non_recursive : [eval_foo_stop/1] 0.05/0.11 2. non_recursive : [eval_foo_bb3_in/1] 0.05/0.11 3. non_recursive : [eval_foo_bb1_in_loop_cont/2] 0.05/0.11 4. non_recursive : [eval_foo_bb0_in/3] 0.05/0.11 5. non_recursive : [eval_foo_start/3] 0.05/0.11 0.05/0.11 #### Obtained direct recursion through partial evaluation 0.05/0.11 0. SCC is partially evaluated into eval_foo_bb1_in/3 0.05/0.11 1. SCC is completely evaluated into other SCCs 0.05/0.11 2. SCC is completely evaluated into other SCCs 0.05/0.11 3. SCC is completely evaluated into other SCCs 0.05/0.11 4. SCC is partially evaluated into eval_foo_bb0_in/3 0.05/0.11 5. SCC is partially evaluated into eval_foo_start/3 0.05/0.11 0.05/0.11 Control-Flow Refinement of Cost Relations 0.05/0.11 ===================================== 0.05/0.11 0.05/0.11 ### Specialization of cost equations eval_foo_bb1_in/3 0.05/0.11 * CE 5 is refined into CE [6] 0.05/0.11 * CE 4 is refined into CE [7] 0.05/0.11 0.05/0.11 0.05/0.11 ### Cost equations --> "Loop" of eval_foo_bb1_in/3 0.05/0.11 * CEs [7] --> Loop 6 0.05/0.11 * CEs [6] --> Loop 7 0.05/0.11 0.05/0.11 ### Ranking functions of CR eval_foo_bb1_in(V_y,V__0,B) 0.05/0.11 0.05/0.11 #### Partial ranking functions of CR eval_foo_bb1_in(V_y,V__0,B) 0.05/0.11 0.05/0.11 0.05/0.11 ### Specialization of cost equations eval_foo_bb0_in/3 0.05/0.11 * CE 2 is refined into CE [8] 0.05/0.11 * CE 3 is refined into CE [9,10] 0.05/0.11 0.05/0.11 0.05/0.11 ### Cost equations --> "Loop" of eval_foo_bb0_in/3 0.05/0.11 * CEs [8] --> Loop 8 0.05/0.11 * CEs [10] --> Loop 9 0.05/0.11 * CEs [9] --> Loop 10 0.05/0.11 0.05/0.11 ### Ranking functions of CR eval_foo_bb0_in(V_x,V_y,B) 0.05/0.11 0.05/0.11 #### Partial ranking functions of CR eval_foo_bb0_in(V_x,V_y,B) 0.05/0.11 0.05/0.11 0.05/0.11 ### Specialization of cost equations eval_foo_start/3 0.05/0.11 * CE 1 is refined into CE [11,12,13] 0.05/0.11 0.05/0.11 0.05/0.11 ### Cost equations --> "Loop" of eval_foo_start/3 0.05/0.11 * CEs [13] --> Loop 11 0.05/0.11 * CEs [12] --> Loop 12 0.05/0.11 * CEs [11] --> Loop 13 0.05/0.11 0.05/0.11 ### Ranking functions of CR eval_foo_start(V_x,V_y,B) 0.05/0.11 0.05/0.11 #### Partial ranking functions of CR eval_foo_start(V_x,V_y,B) 0.05/0.11 0.05/0.11 0.05/0.11 Computing Bounds 0.05/0.11 ===================================== 0.05/0.11 0.05/0.11 #### Cost of chains of eval_foo_bb1_in(V_y,V__0,B): 0.05/0.11 * Chain [7]: 0 0.05/0.11 with precondition: [B=2,0>=V__0+1,V_y>=V__0+1] 0.05/0.11 0.05/0.11 * Chain [6,7]: 1 0.05/0.11 with precondition: [B=2,V__0>=0,V_y>=V__0+1] 0.05/0.11 0.05/0.11 0.05/0.11 #### Cost of chains of eval_foo_bb0_in(V_x,V_y,B): 0.05/0.11 * Chain [10]: 0 0.05/0.11 with precondition: [0>=V_x+1,V_y>=V_x+1] 0.05/0.11 0.05/0.11 * Chain [9]: 1 0.05/0.11 with precondition: [V_x>=0,V_y>=V_x+1] 0.05/0.11 0.05/0.11 * Chain [8]: 0 0.05/0.11 with precondition: [V_x>=V_y] 0.05/0.11 0.05/0.11 0.05/0.11 #### Cost of chains of eval_foo_start(V_x,V_y,B): 0.05/0.11 * Chain [13]: 0 0.05/0.11 with precondition: [0>=V_x+1,V_y>=V_x+1] 0.05/0.11 0.05/0.11 * Chain [12]: 1 0.05/0.11 with precondition: [V_x>=0,V_y>=V_x+1] 0.05/0.11 0.05/0.11 * Chain [11]: 0 0.05/0.11 with precondition: [V_x>=V_y] 0.05/0.11 0.05/0.11 0.05/0.11 Closed-form bounds of eval_foo_start(V_x,V_y,B): 0.05/0.11 ------------------------------------- 0.05/0.11 * Chain [13] with precondition: [0>=V_x+1,V_y>=V_x+1] 0.05/0.11 - Upper bound: 0 0.05/0.11 - Complexity: constant 0.05/0.11 * Chain [12] with precondition: [V_x>=0,V_y>=V_x+1] 0.05/0.11 - Upper bound: 1 0.05/0.11 - Complexity: constant 0.05/0.11 * Chain [11] with precondition: [V_x>=V_y] 0.05/0.11 - Upper bound: 0 0.05/0.11 - Complexity: constant 0.05/0.11 0.05/0.11 ### Maximum cost of eval_foo_start(V_x,V_y,B): 1 0.05/0.11 Asymptotic class: constant 0.05/0.11 * Total analysis performed in 41 ms. 0.05/0.11 0.05/0.21 EOF