0.05/0.15 MAYBE 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_bb1_in/2,eval_foo_bb2_in/2] 0.05/0.15 1. non_recursive : [eval_foo_stop/1] 0.05/0.15 2. non_recursive : [eval_foo_bb3_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/2] 0.05/0.15 5. non_recursive : [eval_foo_start/2] 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/2 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/2 0.05/0.15 5. SCC is partially evaluated into eval_foo_start/2 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/2 0.05/0.15 * CE 7 is refined into CE [8] 0.05/0.15 * CE 5 is refined into CE [9] 0.05/0.15 * CE 4 is refined into CE [10] 0.05/0.15 * CE 3 is refined into CE [11] 0.05/0.15 * CE 6 is refined into CE [12] 0.05/0.15 0.05/0.15 0.05/0.15 ### Cost equations --> "Loop" of eval_foo_bb1_in/2 0.05/0.15 * CEs [9] --> Loop 8 0.05/0.15 * CEs [10] --> Loop 9 0.05/0.15 * CEs [11] --> Loop 10 0.05/0.15 * CEs [12] --> Loop 11 0.05/0.15 * CEs [8] --> Loop 12 0.05/0.15 0.05/0.15 ### Ranking functions of CR eval_foo_bb1_in(V__0,B) 0.05/0.15 * RF of phase [8]: [V__0-10] 0.05/0.15 0.05/0.15 #### Partial ranking functions of CR eval_foo_bb1_in(V__0,B) 0.05/0.15 * Partial RF of phase [8]: 0.05/0.15 - RF of loop [8:1]: 0.05/0.15 V__0-10 0.05/0.15 * Partial RF of phase [9,11]: 0.05/0.15 - RF of loop [9:1]: 0.05/0.15 V__0-25 depends on loops [11:1] 0.05/0.15 - RF of loop [11:1]: 0.05/0.15 -V__0/4+13/2 depends on loops [9:1] 0.05/0.15 0.05/0.15 0.05/0.15 ### Specialization of cost equations eval_foo_bb0_in/2 0.05/0.15 * CE 2 is refined into CE [13,14,15,16] 0.05/0.15 0.05/0.15 0.05/0.15 ### Cost equations --> "Loop" of eval_foo_bb0_in/2 0.05/0.15 * CEs [16] --> Loop 13 0.05/0.15 * CEs [15] --> Loop 14 0.05/0.15 * CEs [14] --> Loop 15 0.05/0.15 * CEs [13] --> Loop 16 0.05/0.15 0.05/0.15 ### Ranking functions of CR eval_foo_bb0_in(V_i,B) 0.05/0.15 0.05/0.15 #### Partial ranking functions of CR eval_foo_bb0_in(V_i,B) 0.05/0.15 0.05/0.15 0.05/0.15 ### Specialization of cost equations eval_foo_start/2 0.05/0.15 * CE 1 is refined into CE [17,18,19,20] 0.05/0.15 0.05/0.15 0.05/0.15 ### Cost equations --> "Loop" of eval_foo_start/2 0.05/0.15 * CEs [20] --> Loop 17 0.05/0.15 * CEs [19] --> Loop 18 0.05/0.15 * CEs [18] --> Loop 19 0.05/0.15 * CEs [17] --> Loop 20 0.05/0.15 0.05/0.15 ### Ranking functions of CR eval_foo_start(V_i,B) 0.05/0.15 0.05/0.15 #### Partial ranking functions of CR eval_foo_start(V_i,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__0,B): 0.05/0.15 * Chain [[9,11]]...: 2*it(9)+0 0.05/0.15 with precondition: [30>=V__0,V__0>=25,B=2] 0.05/0.15 0.05/0.15 * Chain [[8],12]: 1*it(8)+0 0.05/0.15 Such that:it(8) =< V__0 0.05/0.15 0.05/0.15 with precondition: [B=2,24>=V__0,V__0>=11] 0.05/0.15 0.05/0.15 * Chain [12]: 0 0.05/0.15 with precondition: [B=2,10>=V__0] 0.05/0.15 0.05/0.15 * Chain [10,[8],12]: 1*it(8)+1 0.05/0.15 Such that:it(8) =< 20 0.05/0.15 0.05/0.15 with precondition: [B=2,V__0>=31] 0.05/0.15 0.05/0.15 0.05/0.15 #### Cost of chains of eval_foo_bb0_in(V_i,B): 0.05/0.15 * Chain [16]: 1*s(1)+0 0.05/0.15 Such that:s(1) =< V_i 0.05/0.15 0.05/0.15 with precondition: [24>=V_i,V_i>=11] 0.05/0.15 0.05/0.15 * Chain [15]: 0 0.05/0.15 with precondition: [10>=V_i] 0.05/0.15 0.05/0.15 * Chain [14]: 1*s(2)+1 0.05/0.15 Such that:s(2) =< 20 0.05/0.15 0.05/0.15 with precondition: [V_i>=31] 0.05/0.15 0.05/0.15 * Chain [13]...: 2*s(3)+0 0.05/0.15 with precondition: [30>=V_i,V_i>=25] 0.05/0.15 0.05/0.15 0.05/0.15 #### Cost of chains of eval_foo_start(V_i,B): 0.05/0.15 * Chain [20]: 1*s(4)+0 0.05/0.15 Such that:s(4) =< V_i 0.05/0.15 0.05/0.15 with precondition: [24>=V_i,V_i>=11] 0.05/0.15 0.05/0.15 * Chain [19]: 0 0.05/0.15 with precondition: [10>=V_i] 0.05/0.15 0.05/0.15 * Chain [18]: 1*s(5)+1 0.05/0.15 Such that:s(5) =< 20 0.05/0.15 0.05/0.15 with precondition: [V_i>=31] 0.05/0.15 0.05/0.15 * Chain [17]...: 2*s(6)+0 0.05/0.15 with precondition: [30>=V_i,V_i>=25] 0.05/0.15 0.05/0.15 0.05/0.15 Closed-form bounds of eval_foo_start(V_i,B): 0.05/0.15 ------------------------------------- 0.05/0.15 * Chain [20] with precondition: [24>=V_i,V_i>=11] 0.05/0.15 - Upper bound: V_i 0.05/0.15 - Complexity: n 0.05/0.15 * Chain [19] with precondition: [10>=V_i] 0.05/0.15 - Upper bound: 0 0.05/0.15 - Complexity: constant 0.05/0.15 * Chain [18] with precondition: [V_i>=31] 0.05/0.15 - Upper bound: 21 0.05/0.15 - Complexity: constant 0.05/0.15 * Chain [17]... with precondition: [30>=V_i,V_i>=25] 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_i,B): inf 0.05/0.15 Asymptotic class: infinity 0.05/0.15 * Total analysis performed in 84 ms. 0.05/0.15 0.05/0.25 EOF