0.04/0.12 MAYBE 0.04/0.12 0.04/0.12 Preprocessing Cost Relations 0.04/0.12 ===================================== 0.04/0.12 0.04/0.12 #### Computed strongly connected components 0.04/0.12 0. recursive : [eval_foo_bb1_in/3,eval_foo_bb2_in/3] 0.04/0.12 1. non_recursive : [eval_foo_stop/1] 0.04/0.12 2. non_recursive : [eval_foo_bb3_in/1] 0.04/0.12 3. non_recursive : [eval_foo_bb1_in_loop_cont/2] 0.04/0.12 4. non_recursive : [eval_foo_bb0_in/3] 0.04/0.12 5. non_recursive : [eval_foo_start/3] 0.04/0.12 0.04/0.12 #### Obtained direct recursion through partial evaluation 0.04/0.12 0. SCC is partially evaluated into eval_foo_bb1_in/3 0.04/0.12 1. SCC is completely evaluated into other SCCs 0.04/0.12 2. SCC is completely evaluated into other SCCs 0.04/0.12 3. SCC is completely evaluated into other SCCs 0.04/0.12 4. SCC is partially evaluated into eval_foo_bb0_in/3 0.04/0.12 5. SCC is partially evaluated into eval_foo_start/3 0.04/0.12 0.04/0.12 Control-Flow Refinement of Cost Relations 0.04/0.12 ===================================== 0.04/0.12 0.04/0.12 ### Specialization of cost equations eval_foo_bb1_in/3 0.04/0.12 * CE 5 is refined into CE [6] 0.04/0.12 * CE 4 is refined into CE [7] 0.04/0.12 0.04/0.12 0.04/0.12 ### Cost equations --> "Loop" of eval_foo_bb1_in/3 0.04/0.12 * CEs [7] --> Loop 6 0.04/0.12 * CEs [6] --> Loop 7 0.04/0.12 0.04/0.12 ### Ranking functions of CR eval_foo_bb1_in(V__01,V__0,B) 0.04/0.12 0.04/0.12 #### Partial ranking functions of CR eval_foo_bb1_in(V__01,V__0,B) 0.04/0.12 0.04/0.12 0.04/0.12 ### Specialization of cost equations eval_foo_bb0_in/3 0.04/0.12 * CE 3 is refined into CE [8,9] 0.04/0.12 * CE 2 is refined into CE [10] 0.04/0.12 0.04/0.12 0.04/0.12 ### Cost equations --> "Loop" of eval_foo_bb0_in/3 0.04/0.12 * CEs [10] --> Loop 8 0.04/0.12 * CEs [8] --> Loop 9 0.04/0.12 * CEs [9] --> Loop 10 0.04/0.12 0.04/0.12 ### Ranking functions of CR eval_foo_bb0_in(V_x,V_y,B) 0.04/0.12 0.04/0.12 #### Partial ranking functions of CR eval_foo_bb0_in(V_x,V_y,B) 0.04/0.12 0.04/0.12 0.04/0.12 ### Specialization of cost equations eval_foo_start/3 0.04/0.12 * CE 1 is refined into CE [11,12,13] 0.04/0.12 0.04/0.12 0.04/0.12 ### Cost equations --> "Loop" of eval_foo_start/3 0.04/0.12 * CEs [13] --> Loop 11 0.04/0.12 * CEs [12] --> Loop 12 0.04/0.12 * CEs [11] --> Loop 13 0.04/0.12 0.04/0.12 ### Ranking functions of CR eval_foo_start(V_x,V_y,B) 0.04/0.12 0.04/0.12 #### Partial ranking functions of CR eval_foo_start(V_x,V_y,B) 0.04/0.12 0.04/0.12 0.04/0.12 Computing Bounds 0.04/0.12 ===================================== 0.04/0.12 0.04/0.12 #### Cost of chains of eval_foo_bb1_in(V__01,V__0,B): 0.04/0.12 * Chain [[6]]...: 1*it(6)+0 0.04/0.12 with precondition: [V__0>=1,V__0+V__01>=0,B=2] 0.04/0.12 0.04/0.12 * Chain [7]: 0 0.04/0.12 with precondition: [B=2,0>=V__0,V__0+V__01>=0] 0.04/0.12 0.04/0.12 0.04/0.12 #### Cost of chains of eval_foo_bb0_in(V_x,V_y,B): 0.04/0.12 * Chain [10]...: 1*s(1)+0 0.04/0.12 with precondition: [V_x>=1,V_x+V_y>=0] 0.04/0.12 0.04/0.12 * Chain [9]: 0 0.04/0.12 with precondition: [0>=V_x,V_x+V_y>=0] 0.04/0.12 0.04/0.12 * Chain [8]: 0 0.04/0.12 with precondition: [0>=V_x+V_y+1] 0.04/0.12 0.04/0.12 0.04/0.12 #### Cost of chains of eval_foo_start(V_x,V_y,B): 0.04/0.12 * Chain [13]: 0 0.04/0.12 with precondition: [0>=V_x,V_x+V_y>=0] 0.04/0.12 0.04/0.12 * Chain [12]: 0 0.04/0.12 with precondition: [0>=V_x+V_y+1] 0.04/0.12 0.04/0.12 * Chain [11]...: 1*s(2)+0 0.04/0.12 with precondition: [V_x>=1,V_x+V_y>=0] 0.04/0.12 0.04/0.12 0.04/0.12 Closed-form bounds of eval_foo_start(V_x,V_y,B): 0.04/0.12 ------------------------------------- 0.04/0.12 * Chain [13] with precondition: [0>=V_x,V_x+V_y>=0] 0.04/0.12 - Upper bound: 0 0.04/0.12 - Complexity: constant 0.04/0.12 * Chain [12] with precondition: [0>=V_x+V_y+1] 0.04/0.12 - Upper bound: 0 0.04/0.12 - Complexity: constant 0.04/0.12 * Chain [11]... with precondition: [V_x>=1,V_x+V_y>=0] 0.04/0.12 - Upper bound: inf 0.04/0.12 - Complexity: infinity 0.04/0.12 0.04/0.12 ### Maximum cost of eval_foo_start(V_x,V_y,B): inf 0.04/0.12 Asymptotic class: infinity 0.04/0.12 * Total analysis performed in 47 ms. 0.04/0.12 0.04/0.22 EOF