0.04/0.20 MAYBE 0.04/0.20 0.04/0.20 Preprocessing Cost Relations 0.04/0.20 ===================================== 0.04/0.20 0.04/0.20 #### Computed strongly connected components 0.04/0.20 0. recursive : [eval_foo_bb2_in/3,eval_foo_bb3_in/3] 0.04/0.20 1. recursive : [eval_foo_bb1_in/2,eval_foo_bb2_in_loop_cont/4,eval_foo_bb4_in/3] 0.04/0.20 2. non_recursive : [eval_foo_stop/1] 0.04/0.20 3. non_recursive : [eval_foo_bb5_in/1] 0.04/0.20 4. non_recursive : [eval_foo_bb1_in_loop_cont/2] 0.04/0.20 5. non_recursive : [eval_foo_bb0_in/2] 0.04/0.20 6. non_recursive : [eval_foo_start/3] 0.04/0.20 0.04/0.20 #### Obtained direct recursion through partial evaluation 0.04/0.20 0. SCC is partially evaluated into eval_foo_bb2_in/3 0.04/0.20 1. SCC is partially evaluated into eval_foo_bb1_in/2 0.04/0.20 2. SCC is completely evaluated into other SCCs 0.04/0.20 3. SCC is completely evaluated into other SCCs 0.04/0.20 4. SCC is completely evaluated into other SCCs 0.04/0.20 5. SCC is partially evaluated into eval_foo_bb0_in/2 0.04/0.20 6. SCC is partially evaluated into eval_foo_start/3 0.04/0.20 0.04/0.20 Control-Flow Refinement of Cost Relations 0.04/0.20 ===================================== 0.04/0.20 0.04/0.20 ### Specialization of cost equations eval_foo_bb2_in/3 0.04/0.20 * CE 6 is refined into CE [7] 0.04/0.20 * CE 5 is refined into CE [8] 0.04/0.20 0.04/0.20 0.04/0.20 ### Cost equations --> "Loop" of eval_foo_bb2_in/3 0.04/0.20 * CEs [8] --> Loop 7 0.04/0.20 * CEs [7] --> Loop 8 0.04/0.20 0.04/0.20 ### Ranking functions of CR eval_foo_bb2_in(V__01,B,C) 0.04/0.20 0.04/0.20 #### Partial ranking functions of CR eval_foo_bb2_in(V__01,B,C) 0.04/0.20 0.04/0.20 0.04/0.20 ### Specialization of cost equations eval_foo_bb1_in/2 0.04/0.20 * CE 4 is refined into CE [9] 0.04/0.20 * CE 3 is refined into CE [10,11] 0.04/0.20 0.04/0.20 0.04/0.20 ### Cost equations --> "Loop" of eval_foo_bb1_in/2 0.04/0.20 * CEs [11] --> Loop 9 0.04/0.20 * CEs [10] --> Loop 10 0.04/0.20 * CEs [9] --> Loop 11 0.04/0.20 0.04/0.20 ### Ranking functions of CR eval_foo_bb1_in(V__0,B) 0.04/0.20 * RF of phase [9]: [-V__0+10] 0.04/0.20 * RF of phase [10]: [-V__0+1] 0.04/0.20 0.04/0.20 #### Partial ranking functions of CR eval_foo_bb1_in(V__0,B) 0.04/0.20 * Partial RF of phase [9]: 0.04/0.20 - RF of loop [9:1]: 0.04/0.20 -V__0+10 0.04/0.20 * Partial RF of phase [10]: 0.04/0.20 - RF of loop [10:1]: 0.04/0.20 -V__0+1 0.04/0.20 0.04/0.20 0.04/0.20 ### Specialization of cost equations eval_foo_bb0_in/2 0.04/0.20 * CE 2 is refined into CE [12,13,14] 0.04/0.20 0.04/0.20 0.04/0.20 ### Cost equations --> "Loop" of eval_foo_bb0_in/2 0.04/0.20 * CEs [14] --> Loop 12 0.04/0.20 * CEs [13] --> Loop 13 0.04/0.20 * CEs [12] --> Loop 14 0.04/0.20 0.04/0.20 ### Ranking functions of CR eval_foo_bb0_in(V_i,B) 0.04/0.20 0.04/0.20 #### Partial ranking functions of CR eval_foo_bb0_in(V_i,B) 0.04/0.20 0.04/0.20 0.04/0.20 ### Specialization of cost equations eval_foo_start/3 0.04/0.20 * CE 1 is refined into CE [15,16,17] 0.04/0.20 0.04/0.20 0.04/0.20 ### Cost equations --> "Loop" of eval_foo_start/3 0.04/0.20 * CEs [17] --> Loop 15 0.04/0.20 * CEs [16] --> Loop 16 0.04/0.20 * CEs [15] --> Loop 17 0.04/0.20 0.04/0.20 ### Ranking functions of CR eval_foo_start(V_i,V_j,B) 0.04/0.20 0.04/0.20 #### Partial ranking functions of CR eval_foo_start(V_i,V_j,B) 0.04/0.20 0.04/0.20 0.04/0.20 Computing Bounds 0.04/0.20 ===================================== 0.04/0.20 0.04/0.20 #### Cost of chains of eval_foo_bb2_in(V__01,B,C): 0.04/0.20 * Chain [[7]]...: 1*it(7)+0 0.04/0.20 with precondition: [V__01>=1,B=2] 0.04/0.20 0.04/0.20 * Chain [8]: 0 0.04/0.20 with precondition: [B=2,V__01=C,0>=V__01] 0.04/0.20 0.04/0.20 0.04/0.20 #### Cost of chains of eval_foo_bb1_in(V__0,B): 0.04/0.20 * Chain [[10],[9],11]: 1*it(9)+1*it(10)+1*s(3)+0 0.04/0.20 Such that:it(9) =< 9 0.04/0.20 it(10) =< -V__0+1 0.04/0.20 0.04/0.20 with precondition: [B=3,0>=V__0] 0.04/0.20 0.04/0.20 * Chain [[9],11]: 1*it(9)+1*s(3)+0 0.04/0.20 Such that:it(9) =< -V__0+10 0.04/0.20 0.04/0.20 with precondition: [B=3,9>=V__0,V__0>=1] 0.04/0.20 0.04/0.20 * Chain [11]: 0 0.04/0.20 with precondition: [B=3,V__0>=10] 0.04/0.20 0.04/0.20 0.04/0.20 #### Cost of chains of eval_foo_bb0_in(V_i,B): 0.04/0.20 * Chain [14]: 1*s(4)+1*s(5)+0 0.04/0.20 Such that:s(4) =< -V_i+10 0.04/0.20 0.04/0.20 with precondition: [9>=V_i,V_i>=1] 0.04/0.20 0.04/0.20 * Chain [13]: 1*s(6)+1*s(7)+1*s(8)+0 0.04/0.20 Such that:s(6) =< 9 0.04/0.20 s(7) =< -V_i+1 0.04/0.20 0.04/0.20 with precondition: [0>=V_i] 0.04/0.20 0.04/0.20 * Chain [12]: 0 0.04/0.20 with precondition: [V_i>=10] 0.04/0.20 0.04/0.20 0.04/0.20 #### Cost of chains of eval_foo_start(V_i,V_j,B): 0.04/0.20 * Chain [17]: 1*s(9)+1*s(10)+0 0.04/0.20 Such that:s(9) =< -V_i+10 0.04/0.20 0.04/0.20 with precondition: [9>=V_i,V_i>=1] 0.04/0.20 0.04/0.20 * Chain [16]: 1*s(11)+1*s(12)+1*s(13)+0 0.04/0.20 Such that:s(11) =< 9 0.04/0.20 s(12) =< -V_i+1 0.04/0.20 0.04/0.20 with precondition: [0>=V_i] 0.04/0.20 0.04/0.20 * Chain [15]: 0 0.04/0.20 with precondition: [V_i>=10] 0.04/0.20 0.04/0.20 0.04/0.20 Closed-form bounds of eval_foo_start(V_i,V_j,B): 0.04/0.20 ------------------------------------- 0.04/0.20 * Chain [17] with precondition: [9>=V_i,V_i>=1] 0.04/0.20 - Upper bound: inf 0.04/0.20 - Complexity: infinity 0.04/0.20 * Chain [16] with precondition: [0>=V_i] 0.04/0.20 - Upper bound: inf 0.04/0.20 - Complexity: infinity 0.04/0.20 * Chain [15] with precondition: [V_i>=10] 0.04/0.20 - Upper bound: 0 0.04/0.20 - Complexity: constant 0.04/0.20 0.04/0.20 ### Maximum cost of eval_foo_start(V_i,V_j,B): inf 0.04/0.20 Asymptotic class: infinity 0.04/0.20 * Total analysis performed in 76 ms. 0.04/0.20 0.04/0.30 EOF