0.05/0.24 MAYBE 0.05/0.24 0.05/0.24 Preprocessing Cost Relations 0.05/0.24 ===================================== 0.05/0.24 0.05/0.24 #### Computed strongly connected components 0.05/0.24 0. recursive : [eval_foo_2/5,eval_foo_3/6,eval_foo_5/7,eval_foo_6/8,eval_foo_bb1_in/5,eval_foo_bb2_in/5,eval_foo_bb3_in/6,eval_foo_bb4_in/6] 0.05/0.24 1. non_recursive : [eval_foo_stop/1] 0.05/0.24 2. non_recursive : [eval_foo__critedge_in/1] 0.05/0.24 3. non_recursive : [eval_foo_bb1_in_loop_cont/2] 0.05/0.24 4. non_recursive : [eval_foo_bb0_in/5] 0.05/0.24 5. non_recursive : [eval_foo_start/5] 0.05/0.24 0.05/0.24 #### Obtained direct recursion through partial evaluation 0.05/0.24 0. SCC is partially evaluated into eval_foo_bb1_in/5 0.05/0.24 1. SCC is completely evaluated into other SCCs 0.05/0.24 2. SCC is completely evaluated into other SCCs 0.05/0.24 3. SCC is completely evaluated into other SCCs 0.05/0.24 4. SCC is partially evaluated into eval_foo_bb0_in/5 0.05/0.24 5. SCC is partially evaluated into eval_foo_start/5 0.05/0.24 0.05/0.24 Control-Flow Refinement of Cost Relations 0.05/0.24 ===================================== 0.05/0.24 0.05/0.24 ### Specialization of cost equations eval_foo_bb1_in/5 0.05/0.24 * CE 6 is refined into CE [7] 0.05/0.24 * CE 5 is refined into CE [8] 0.05/0.24 * CE 3 is refined into CE [9] 0.05/0.24 * CE 4 is refined into CE [10] 0.05/0.24 0.05/0.24 0.05/0.24 ### Cost equations --> "Loop" of eval_foo_bb1_in/5 0.05/0.24 * CEs [9] --> Loop 7 0.05/0.24 * CEs [10] --> Loop 8 0.05/0.24 * CEs [7] --> Loop 9 0.05/0.24 * CEs [8] --> Loop 10 0.05/0.24 0.05/0.24 ### Ranking functions of CR eval_foo_bb1_in(V__05,V__03,V__01,V__0,B) 0.05/0.24 0.05/0.24 #### Partial ranking functions of CR eval_foo_bb1_in(V__05,V__03,V__01,V__0,B) 0.05/0.24 * Partial RF of phase [7,8]: 0.05/0.24 - RF of loop [8:1]: 0.05/0.24 -V__01+V__0+1 depends on loops [7:1] 0.05/0.24 V__05+V__03-V__01+1 depends on loops [7:1] 0.05/0.24 0.05/0.24 0.05/0.24 ### Specialization of cost equations eval_foo_bb0_in/5 0.05/0.24 * CE 2 is refined into CE [11,12,13,14] 0.05/0.24 0.05/0.24 0.05/0.24 ### Cost equations --> "Loop" of eval_foo_bb0_in/5 0.05/0.24 * CEs [14] --> Loop 11 0.05/0.24 * CEs [13] --> Loop 12 0.05/0.24 * CEs [11] --> Loop 13 0.05/0.24 * CEs [12] --> Loop 14 0.05/0.24 0.05/0.24 ### Ranking functions of CR eval_foo_bb0_in(V_x,V_y,V_z,V_tx,B) 0.05/0.24 0.05/0.24 #### Partial ranking functions of CR eval_foo_bb0_in(V_x,V_y,V_z,V_tx,B) 0.05/0.24 0.05/0.24 0.05/0.24 ### Specialization of cost equations eval_foo_start/5 0.05/0.24 * CE 1 is refined into CE [15,16,17,18] 0.05/0.24 0.05/0.24 0.05/0.24 ### Cost equations --> "Loop" of eval_foo_start/5 0.05/0.24 * CEs [18] --> Loop 15 0.05/0.24 * CEs [17] --> Loop 16 0.05/0.24 * CEs [16] --> Loop 17 0.05/0.24 * CEs [15] --> Loop 18 0.05/0.24 0.05/0.24 ### Ranking functions of CR eval_foo_start(V_x,V_y,V_z,V_tx,B) 0.05/0.24 0.05/0.24 #### Partial ranking functions of CR eval_foo_start(V_x,V_y,V_z,V_tx,B) 0.05/0.24 0.05/0.24 0.05/0.24 Computing Bounds 0.05/0.24 ===================================== 0.05/0.24 0.05/0.24 #### Cost of chains of eval_foo_bb1_in(V__05,V__03,V__01,V__0,B): 0.05/0.24 * Chain [[7,8]]...: 2*it(7)+0 0.05/0.24 with precondition: [V__03+V__05>=V__0,V__0>=V__01,B=2] 0.05/0.24 0.05/0.24 * Chain [[7,8],10]: 2*it(7)+0 0.05/0.24 with precondition: [B=2,V__0>=V__01,V__03+V__05>=V__0] 0.05/0.24 0.05/0.24 * Chain [[7,8],9]: 2*it(7)+0 0.05/0.24 with precondition: [B=2,V__0>=V__01,V__03+V__05>=V__0] 0.05/0.24 0.05/0.24 * Chain [10]: 0 0.05/0.24 with precondition: [B=2,V__01>=V__0+1] 0.05/0.24 0.05/0.24 * Chain [9]: 0 0.05/0.24 with precondition: [B=2,V__0>=V__03+V__05+1] 0.05/0.24 0.05/0.24 0.05/0.24 #### Cost of chains of eval_foo_bb0_in(V_x,V_y,V_z,V_tx,B): 0.05/0.24 * Chain [14]: 0 0.05/0.24 with precondition: [V_y>=V_x+1] 0.05/0.24 0.05/0.24 * Chain [13]: 1*s(3)+0 0.05/0.24 with precondition: [V_x>=V_y,V_tx+V_z>=V_x] 0.05/0.24 0.05/0.24 * Chain [12]: 0 0.05/0.24 with precondition: [V_x>=V_tx+V_z+1] 0.05/0.24 0.05/0.24 * Chain [11]...: 2*s(4)+0 0.05/0.24 with precondition: [V_x>=V_y,V_tx+V_z>=V_x] 0.05/0.24 0.05/0.24 0.05/0.24 #### Cost of chains of eval_foo_start(V_x,V_y,V_z,V_tx,B): 0.05/0.24 * Chain [18]: 0 0.05/0.24 with precondition: [V_y>=V_x+1] 0.05/0.24 0.05/0.24 * Chain [17]: 1*s(5)+0 0.05/0.24 with precondition: [V_x>=V_y,V_tx+V_z>=V_x] 0.05/0.24 0.05/0.24 * Chain [16]: 0 0.05/0.24 with precondition: [V_x>=V_tx+V_z+1] 0.05/0.24 0.05/0.24 * Chain [15]...: 2*s(6)+0 0.05/0.24 with precondition: [V_x>=V_y,V_tx+V_z>=V_x] 0.05/0.24 0.05/0.24 0.05/0.24 Closed-form bounds of eval_foo_start(V_x,V_y,V_z,V_tx,B): 0.05/0.24 ------------------------------------- 0.05/0.24 * Chain [18] with precondition: [V_y>=V_x+1] 0.05/0.24 - Upper bound: 0 0.05/0.24 - Complexity: constant 0.05/0.24 * Chain [17] with precondition: [V_x>=V_y,V_z+V_tx>=V_x] 0.05/0.24 - Upper bound: inf 0.05/0.24 - Complexity: infinity 0.05/0.24 * Chain [16] with precondition: [V_x>=V_z+V_tx+1] 0.05/0.24 - Upper bound: 0 0.05/0.24 - Complexity: constant 0.05/0.24 * Chain [15]... with precondition: [V_x>=V_y,V_z+V_tx>=V_x] 0.05/0.24 - Upper bound: inf 0.05/0.24 - Complexity: infinity 0.05/0.24 0.05/0.24 ### Maximum cost of eval_foo_start(V_x,V_y,V_z,V_tx,B): inf 0.05/0.24 Asymptotic class: infinity 0.05/0.24 * Total analysis performed in 156 ms. 0.05/0.24 0.05/0.34 EOF