0.05/0.12 MAYBE 0.05/0.12 0.05/0.12 Preprocessing Cost Relations 0.05/0.12 ===================================== 0.05/0.12 0.05/0.12 #### Computed strongly connected components 0.05/0.12 0. recursive : [eval_foo_bb1_in/2,eval_foo_bb2_in/2] 0.05/0.12 1. non_recursive : [eval_foo_stop/1] 0.05/0.12 2. non_recursive : [eval_foo_bb3_in/1] 0.05/0.12 3. non_recursive : [eval_foo_bb1_in_loop_cont/2] 0.05/0.12 4. non_recursive : [eval_foo_bb0_in/2] 0.05/0.12 5. non_recursive : [eval_foo_start/2] 0.05/0.12 0.05/0.12 #### Obtained direct recursion through partial evaluation 0.05/0.12 0. SCC is partially evaluated into eval_foo_bb1_in/2 0.05/0.12 1. SCC is completely evaluated into other SCCs 0.05/0.12 2. SCC is completely evaluated into other SCCs 0.05/0.12 3. SCC is completely evaluated into other SCCs 0.05/0.12 4. SCC is partially evaluated into eval_foo_bb0_in/2 0.05/0.12 5. SCC is partially evaluated into eval_foo_start/2 0.05/0.12 0.05/0.12 Control-Flow Refinement of Cost Relations 0.05/0.12 ===================================== 0.05/0.12 0.05/0.12 ### Specialization of cost equations eval_foo_bb1_in/2 0.05/0.12 * CE 6 is refined into CE [7] 0.05/0.12 * CE 4 is refined into CE [8] 0.05/0.12 * CE 5 is refined into CE [9] 0.05/0.12 0.05/0.12 0.05/0.12 ### Cost equations --> "Loop" of eval_foo_bb1_in/2 0.05/0.12 * CEs [8] --> Loop 7 0.05/0.12 * CEs [9] --> Loop 8 0.05/0.12 * CEs [7] --> Loop 9 0.05/0.12 0.05/0.12 ### Ranking functions of CR eval_foo_bb1_in(V__0,B) 0.05/0.12 * RF of phase [7]: [V__0/2] 0.05/0.12 0.05/0.12 #### Partial ranking functions of CR eval_foo_bb1_in(V__0,B) 0.05/0.12 * Partial RF of phase [7]: 0.05/0.12 - RF of loop [7:1]: 0.05/0.12 V__0/2 0.05/0.12 0.05/0.12 0.05/0.12 ### Specialization of cost equations eval_foo_bb0_in/2 0.05/0.12 * CE 3 is refined into CE [10,11] 0.05/0.12 * CE 2 is refined into CE [12] 0.05/0.12 0.05/0.12 0.05/0.12 ### Cost equations --> "Loop" of eval_foo_bb0_in/2 0.05/0.12 * CEs [10] --> Loop 10 0.05/0.12 * CEs [12] --> Loop 11 0.05/0.12 * CEs [11] --> Loop 12 0.05/0.12 0.05/0.12 ### Ranking functions of CR eval_foo_bb0_in(V_x,B) 0.05/0.12 0.05/0.12 #### Partial ranking functions of CR eval_foo_bb0_in(V_x,B) 0.05/0.12 0.05/0.12 0.05/0.12 ### Specialization of cost equations eval_foo_start/2 0.05/0.12 * CE 1 is refined into CE [13,14,15] 0.05/0.12 0.05/0.12 0.05/0.12 ### Cost equations --> "Loop" of eval_foo_start/2 0.05/0.12 * CEs [15] --> Loop 13 0.05/0.12 * CEs [14] --> Loop 14 0.05/0.12 * CEs [13] --> Loop 15 0.05/0.12 0.05/0.12 ### Ranking functions of CR eval_foo_start(V_x,B) 0.05/0.12 0.05/0.12 #### Partial ranking functions of CR eval_foo_start(V_x,B) 0.05/0.12 0.05/0.12 0.05/0.12 Computing Bounds 0.05/0.12 ===================================== 0.05/0.12 0.05/0.12 #### Cost of chains of eval_foo_bb1_in(V__0,B): 0.05/0.12 * Chain [[7],[8]]...: 1*it(7)+1*it(8)+0 0.05/0.12 Such that:it(7) =< V__0/2 0.05/0.12 0.05/0.12 with precondition: [B=2,V__0>=1] 0.05/0.12 0.05/0.12 * Chain [[7],9]: 1*it(7)+0 0.05/0.12 Such that:it(7) =< V__0/2 0.05/0.12 0.05/0.12 with precondition: [B=2,V__0>=2] 0.05/0.12 0.05/0.12 0.05/0.12 #### Cost of chains of eval_foo_bb0_in(V_x,B): 0.05/0.12 * Chain [12]...: 1*s(1)+1*s(2)+0 0.05/0.12 Such that:s(1) =< V_x/2 0.05/0.12 0.05/0.12 with precondition: [V_x>=1] 0.05/0.12 0.05/0.12 * Chain [11]: 0 0.05/0.12 with precondition: [0>=V_x] 0.05/0.12 0.05/0.12 * Chain [10]: 1*s(3)+0 0.05/0.12 Such that:s(3) =< V_x/2 0.05/0.12 0.05/0.12 with precondition: [V_x>=2] 0.05/0.12 0.05/0.12 0.05/0.12 #### Cost of chains of eval_foo_start(V_x,B): 0.05/0.12 * Chain [15]: 0 0.05/0.12 with precondition: [0>=V_x] 0.05/0.12 0.05/0.12 * Chain [14]: 1*s(4)+0 0.05/0.12 Such that:s(4) =< V_x/2 0.05/0.12 0.05/0.12 with precondition: [V_x>=2] 0.05/0.12 0.05/0.12 * Chain [13]...: 1*s(5)+1*s(6)+0 0.05/0.12 Such that:s(5) =< V_x/2 0.05/0.12 0.05/0.12 with precondition: [V_x>=1] 0.05/0.12 0.05/0.12 0.05/0.12 Closed-form bounds of eval_foo_start(V_x,B): 0.05/0.12 ------------------------------------- 0.05/0.12 * Chain [15] with precondition: [0>=V_x] 0.05/0.12 - Upper bound: 0 0.05/0.12 - Complexity: constant 0.05/0.12 * Chain [14] with precondition: [V_x>=2] 0.05/0.12 - Upper bound: V_x/2 0.05/0.12 - Complexity: n 0.05/0.12 * Chain [13]... with precondition: [V_x>=1] 0.05/0.12 - Upper bound: inf 0.05/0.12 - Complexity: infinity 0.05/0.12 0.05/0.12 ### Maximum cost of eval_foo_start(V_x,B): inf 0.05/0.12 Asymptotic class: infinity 0.05/0.12 * Total analysis performed in 56 ms. 0.05/0.12 0.05/0.23 EOF