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_bb2_in/3,eval_foo_bb3_in/3] 0.05/0.24 1. recursive : [eval_foo_bb5_in/5,eval_foo_bb6_in/5] 0.05/0.24 2. recursive : [eval_foo_bb1_in/2,eval_foo_bb2_in_loop_cont/4,eval_foo_bb4_in/3,eval_foo_bb5_in_loop_cont/3,eval_foo_bb7_in/3] 0.05/0.24 3. non_recursive : [eval_foo_stop/1] 0.05/0.24 4. non_recursive : [eval_foo_bb8_in/1] 0.05/0.24 5. non_recursive : [eval_foo_bb1_in_loop_cont/2] 0.05/0.24 6. non_recursive : [eval_foo_bb0_in/2] 0.05/0.24 7. non_recursive : [eval_foo_start/3] 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_bb2_in/3 0.05/0.24 1. SCC is partially evaluated into eval_foo_bb5_in/5 0.05/0.24 2. SCC is partially evaluated into eval_foo_bb1_in/2 0.05/0.24 3. SCC is completely evaluated into other SCCs 0.05/0.24 4. SCC is completely evaluated into other SCCs 0.05/0.24 5. SCC is completely evaluated into other SCCs 0.05/0.24 6. SCC is partially evaluated into eval_foo_bb0_in/2 0.05/0.24 7. SCC is partially evaluated into eval_foo_start/3 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_bb2_in/3 0.05/0.24 * CE 8 is refined into CE [11] 0.05/0.24 * CE 7 is refined into CE [12] 0.05/0.24 0.05/0.24 0.05/0.24 ### Cost equations --> "Loop" of eval_foo_bb2_in/3 0.05/0.24 * CEs [12] --> Loop 10 0.05/0.24 * CEs [11] --> Loop 11 0.05/0.24 0.05/0.24 ### Ranking functions of CR eval_foo_bb2_in(V__01,B,C) 0.05/0.24 * RF of phase [10]: [V__01-1] 0.05/0.24 0.05/0.24 #### Partial ranking functions of CR eval_foo_bb2_in(V__01,B,C) 0.05/0.24 * Partial RF of phase [10]: 0.05/0.24 - RF of loop [10:1]: 0.05/0.24 V__01-1 0.05/0.24 0.05/0.24 0.05/0.24 ### Specialization of cost equations eval_foo_bb5_in/5 0.05/0.24 * CE 10 is refined into CE [13] 0.05/0.24 * CE 9 is refined into CE [14] 0.05/0.24 0.05/0.24 0.05/0.24 ### Cost equations --> "Loop" of eval_foo_bb5_in/5 0.05/0.24 * CEs [14] --> Loop 12 0.05/0.24 * CEs [13] --> Loop 13 0.05/0.24 0.05/0.24 ### Ranking functions of CR eval_foo_bb5_in(V__0,V__01,V__12,B,C) 0.05/0.24 * RF of phase [12]: [V__0/2-V__12] 0.05/0.24 0.05/0.24 #### Partial ranking functions of CR eval_foo_bb5_in(V__0,V__01,V__12,B,C) 0.05/0.24 * Partial RF of phase [12]: 0.05/0.24 - RF of loop [12:1]: 0.05/0.24 V__0/2-V__12 0.05/0.24 0.05/0.24 0.05/0.24 ### Specialization of cost equations eval_foo_bb1_in/2 0.05/0.24 * CE 6 is refined into CE [15] 0.05/0.24 * CE 3 is refined into CE [16] 0.05/0.24 * CE 4 is discarded (unfeasible) 0.05/0.24 * CE 5 is refined into CE [17] 0.05/0.24 0.05/0.24 0.05/0.24 ### Cost equations --> "Loop" of eval_foo_bb1_in/2 0.05/0.24 * CEs [16] --> Loop 14 0.05/0.24 * CEs [17] --> Loop 15 0.05/0.24 * CEs [15] --> Loop 16 0.05/0.24 0.05/0.24 ### Ranking functions of CR eval_foo_bb1_in(V__0,B) 0.05/0.24 0.05/0.24 #### Partial ranking functions of CR eval_foo_bb1_in(V__0,B) 0.05/0.24 * Partial RF of phase [14,15]: 0.05/0.24 - RF of loop [14:1]: 0.05/0.24 V__0-1 depends on loops [15:1] 0.05/0.24 0.05/0.24 0.05/0.24 ### Specialization of cost equations eval_foo_bb0_in/2 0.05/0.24 * CE 2 is refined into CE [18,19,20] 0.05/0.24 0.05/0.24 0.05/0.24 ### Cost equations --> "Loop" of eval_foo_bb0_in/2 0.05/0.24 * CEs [20] --> Loop 17 0.05/0.24 * CEs [19] --> Loop 18 0.05/0.24 * CEs [18] --> Loop 19 0.05/0.24 0.05/0.24 ### Ranking functions of CR eval_foo_bb0_in(V_x,B) 0.05/0.24 0.05/0.24 #### Partial ranking functions of CR eval_foo_bb0_in(V_x,B) 0.05/0.24 0.05/0.24 0.05/0.24 ### Specialization of cost equations eval_foo_start/3 0.05/0.24 * CE 1 is refined into CE [21,22,23] 0.05/0.24 0.05/0.24 0.05/0.24 ### Cost equations --> "Loop" of eval_foo_start/3 0.05/0.24 * CEs [23] --> Loop 20 0.05/0.24 * CEs [22] --> Loop 21 0.05/0.24 * CEs [21] --> Loop 22 0.05/0.24 0.05/0.24 ### Ranking functions of CR eval_foo_start(V_x,V_y,B) 0.05/0.24 0.05/0.24 #### Partial ranking functions of CR eval_foo_start(V_x,V_y,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_bb2_in(V__01,B,C): 0.05/0.24 * Chain [[10],11]: 1*it(10)+0 0.05/0.24 Such that:it(10) =< V__01-C 0.05/0.24 0.05/0.24 with precondition: [B=2,1>=C,C>=0,V__01>=C+2] 0.05/0.24 0.05/0.24 0.05/0.24 #### Cost of chains of eval_foo_bb5_in(V__0,V__01,V__12,B,C): 0.05/0.24 * Chain [[12],13]: 1*it(12)+0 0.05/0.24 Such that:it(12) =< V__0/2-V__12 0.05/0.24 0.05/0.24 with precondition: [V__01=0,B=3,V__12>=0,V__0+1>=2*C,2*C>=V__0,C>=V__12+1,V__0+V__12>=C+1] 0.05/0.24 0.05/0.24 0.05/0.24 #### Cost of chains of eval_foo_bb1_in(V__0,B): 0.05/0.24 * Chain [[14,15]]...: 5*it(14)+0 0.05/0.24 with precondition: [V__0>=2,B=4] 0.05/0.24 0.05/0.24 * Chain [[14,15],16]: 5*it(14)+0 0.05/0.24 with precondition: [B=4,V__0>=2] 0.05/0.24 0.05/0.24 * Chain [16]: 0 0.05/0.24 with precondition: [B=4,1>=V__0] 0.05/0.24 0.05/0.24 0.05/0.24 #### Cost of chains of eval_foo_bb0_in(V_x,B): 0.05/0.24 * Chain [19]: 0 0.05/0.24 with precondition: [1>=V_x] 0.05/0.24 0.05/0.24 * Chain [18]: 5*s(10)+0 0.05/0.24 with precondition: [V_x>=2] 0.05/0.24 0.05/0.24 * Chain [17]...: 5*s(11)+0 0.05/0.24 with precondition: [V_x>=2] 0.05/0.24 0.05/0.24 0.05/0.24 #### Cost of chains of eval_foo_start(V_x,V_y,B): 0.05/0.24 * Chain [22]: 0 0.05/0.24 with precondition: [1>=V_x] 0.05/0.24 0.05/0.24 * Chain [21]: 5*s(12)+0 0.05/0.24 with precondition: [V_x>=2] 0.05/0.24 0.05/0.24 * Chain [20]...: 5*s(13)+0 0.05/0.24 with precondition: [V_x>=2] 0.05/0.24 0.05/0.24 0.05/0.24 Closed-form bounds of eval_foo_start(V_x,V_y,B): 0.05/0.24 ------------------------------------- 0.05/0.24 * Chain [22] with precondition: [1>=V_x] 0.05/0.24 - Upper bound: 0 0.05/0.24 - Complexity: constant 0.05/0.24 * Chain [21] with precondition: [V_x>=2] 0.05/0.24 - Upper bound: inf 0.05/0.24 - Complexity: infinity 0.05/0.24 * Chain [20]... with precondition: [V_x>=2] 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,B): inf 0.05/0.24 Asymptotic class: infinity 0.05/0.24 * Total analysis performed in 160 ms. 0.05/0.24 0.05/0.34 EOF