0.05/0.15 MAYBE 0.05/0.15 WARNING: Excluded non-linear constraints:[F=B+A*A] 0.05/0.15 0.05/0.15 Preprocessing Cost Relations 0.05/0.15 ===================================== 0.05/0.15 0.05/0.15 #### Computed strongly connected components 0.05/0.15 0. recursive : [eval_foo_0/4,eval_foo_1/5,eval_foo_bb1_in/4,eval_foo_bb2_in/4,eval_foo_bb3_in/5,eval_foo_bb4_in/5] 0.05/0.15 1. non_recursive : [eval_foo_stop/1] 0.05/0.15 2. non_recursive : [eval_foo_bb5_in/1] 0.05/0.15 3. non_recursive : [eval_foo_bb1_in_loop_cont/2] 0.05/0.15 4. non_recursive : [eval_foo_bb0_in/4] 0.05/0.15 5. non_recursive : [eval_foo_start/4] 0.05/0.15 0.05/0.15 #### Obtained direct recursion through partial evaluation 0.05/0.15 0. SCC is partially evaluated into eval_foo_bb1_in/4 0.05/0.15 1. SCC is completely evaluated into other SCCs 0.05/0.15 2. SCC is completely evaluated into other SCCs 0.05/0.15 3. SCC is completely evaluated into other SCCs 0.05/0.15 4. SCC is partially evaluated into eval_foo_bb0_in/4 0.05/0.15 5. SCC is partially evaluated into eval_foo_start/4 0.05/0.15 0.05/0.15 Control-Flow Refinement of Cost Relations 0.05/0.15 ===================================== 0.05/0.15 0.05/0.15 ### Specialization of cost equations eval_foo_bb1_in/4 0.05/0.15 * CE 5 is refined into CE [6] 0.05/0.15 * CE 4 is refined into CE [7] 0.05/0.15 * CE 3 is refined into CE [8] 0.05/0.15 0.05/0.15 0.05/0.15 ### Cost equations --> "Loop" of eval_foo_bb1_in/4 0.05/0.15 * CEs [7] --> Loop 6 0.05/0.15 * CEs [8] --> Loop 7 0.05/0.15 * CEs [6] --> Loop 8 0.05/0.15 0.05/0.15 ### Ranking functions of CR eval_foo_bb1_in(V__03,V__01,V__0,B) 0.05/0.15 0.05/0.15 #### Partial ranking functions of CR eval_foo_bb1_in(V__03,V__01,V__0,B) 0.05/0.15 0.05/0.15 0.05/0.15 ### Specialization of cost equations eval_foo_bb0_in/4 0.05/0.15 * CE 2 is refined into CE [9,10,11] 0.05/0.15 0.05/0.15 0.05/0.15 ### Cost equations --> "Loop" of eval_foo_bb0_in/4 0.05/0.15 * CEs [11] --> Loop 9 0.05/0.15 * CEs [9] --> Loop 10 0.05/0.15 * CEs [10] --> Loop 11 0.05/0.15 0.05/0.15 ### Ranking functions of CR eval_foo_bb0_in(V_x,V_y,V_z,B) 0.05/0.15 0.05/0.15 #### Partial ranking functions of CR eval_foo_bb0_in(V_x,V_y,V_z,B) 0.05/0.15 0.05/0.15 0.05/0.15 ### Specialization of cost equations eval_foo_start/4 0.05/0.15 * CE 1 is refined into CE [12,13,14] 0.05/0.15 0.05/0.15 0.05/0.15 ### Cost equations --> "Loop" of eval_foo_start/4 0.05/0.15 * CEs [14] --> Loop 12 0.05/0.15 * CEs [13] --> Loop 13 0.05/0.15 * CEs [12] --> Loop 14 0.05/0.15 0.05/0.15 ### Ranking functions of CR eval_foo_start(V_x,V_y,V_z,B) 0.05/0.15 0.05/0.15 #### Partial ranking functions of CR eval_foo_start(V_x,V_y,V_z,B) 0.05/0.15 0.05/0.15 0.05/0.15 Computing Bounds 0.05/0.15 ===================================== 0.05/0.15 0.05/0.15 #### Cost of chains of eval_foo_bb1_in(V__03,V__01,V__0,B): 0.05/0.15 * Chain [[6,7]]...: 2*it(6)+0 0.05/0.15 with precondition: [V__0>=V__01,B=2] 0.05/0.15 0.05/0.15 * Chain [[6,7],8]: 2*it(6)+0 0.05/0.15 with precondition: [B=2,V__0>=V__01] 0.05/0.15 0.05/0.15 * Chain [8]: 0 0.05/0.15 with precondition: [B=2,V__01>=V__0+1] 0.05/0.15 0.05/0.15 0.05/0.15 #### Cost of chains of eval_foo_bb0_in(V_x,V_y,V_z,B): 0.05/0.15 * Chain [11]: 0 0.05/0.15 with precondition: [V_y>=V_x+1] 0.05/0.15 0.05/0.15 * Chain [10]: 2*s(1)+0 0.05/0.15 with precondition: [V_x>=V_y] 0.05/0.15 0.05/0.15 * Chain [9]...: 2*s(2)+0 0.05/0.15 with precondition: [V_x>=V_y] 0.05/0.15 0.05/0.15 0.05/0.15 #### Cost of chains of eval_foo_start(V_x,V_y,V_z,B): 0.05/0.15 * Chain [14]: 0 0.05/0.15 with precondition: [V_y>=V_x+1] 0.05/0.15 0.05/0.15 * Chain [13]: 2*s(3)+0 0.05/0.15 with precondition: [V_x>=V_y] 0.05/0.15 0.05/0.15 * Chain [12]...: 2*s(4)+0 0.05/0.15 with precondition: [V_x>=V_y] 0.05/0.15 0.05/0.15 0.05/0.15 Closed-form bounds of eval_foo_start(V_x,V_y,V_z,B): 0.05/0.15 ------------------------------------- 0.05/0.15 * Chain [14] with precondition: [V_y>=V_x+1] 0.05/0.15 - Upper bound: 0 0.05/0.15 - Complexity: constant 0.05/0.15 * Chain [13] with precondition: [V_x>=V_y] 0.05/0.15 - Upper bound: inf 0.05/0.15 - Complexity: infinity 0.05/0.15 * Chain [12]... with precondition: [V_x>=V_y] 0.05/0.15 - Upper bound: inf 0.05/0.15 - Complexity: infinity 0.05/0.15 0.05/0.15 ### Maximum cost of eval_foo_start(V_x,V_y,V_z,B): inf 0.05/0.15 Asymptotic class: infinity 0.05/0.15 * Total analysis performed in 74 ms. 0.05/0.15 0.05/0.25 EOF