0.04/0.12 WORST_CASE(?,O(1)) 0.04/0.12 0.04/0.12 Preprocessing Cost Relations 0.04/0.12 ===================================== 0.04/0.12 0.04/0.12 #### Computed strongly connected components 0.04/0.12 0. recursive : [eval_foo_bb1_in/2,eval_foo_bb2_in/2] 0.04/0.12 1. non_recursive : [eval_foo_stop/1] 0.04/0.12 2. non_recursive : [eval_foo_bb3_in/1] 0.04/0.12 3. non_recursive : [eval_foo_bb1_in_loop_cont/2] 0.04/0.12 4. non_recursive : [eval_foo_bb0_in/1] 0.04/0.12 5. non_recursive : [eval_foo_start/3] 0.04/0.12 0.04/0.12 #### Obtained direct recursion through partial evaluation 0.04/0.12 0. SCC is partially evaluated into eval_foo_bb1_in/2 0.04/0.12 1. SCC is completely evaluated into other SCCs 0.04/0.12 2. SCC is completely evaluated into other SCCs 0.04/0.12 3. SCC is completely evaluated into other SCCs 0.04/0.12 4. SCC is partially evaluated into eval_foo_bb0_in/1 0.04/0.12 5. SCC is partially evaluated into eval_foo_start/3 0.04/0.12 0.04/0.12 Control-Flow Refinement of Cost Relations 0.04/0.12 ===================================== 0.04/0.12 0.04/0.12 ### Specialization of cost equations eval_foo_bb1_in/2 0.04/0.12 * CE 5 is refined into CE [6] 0.04/0.12 * CE 4 is refined into CE [7] 0.04/0.12 * CE 3 is refined into CE [8] 0.04/0.12 0.04/0.12 0.04/0.12 ### Cost equations --> "Loop" of eval_foo_bb1_in/2 0.04/0.12 * CEs [7] --> Loop 6 0.04/0.12 * CEs [8] --> Loop 7 0.04/0.12 * CEs [6] --> Loop 8 0.04/0.12 0.04/0.12 ### Ranking functions of CR eval_foo_bb1_in(V__0,B) 0.04/0.12 * RF of phase [6]: [-V__0+10] 0.04/0.12 * RF of phase [7]: [-V__0+20] 0.04/0.12 0.04/0.12 #### Partial ranking functions of CR eval_foo_bb1_in(V__0,B) 0.04/0.12 * Partial RF of phase [6]: 0.04/0.12 - RF of loop [6:1]: 0.04/0.12 -V__0+10 0.04/0.12 * Partial RF of phase [7]: 0.04/0.12 - RF of loop [7:1]: 0.04/0.12 -V__0+20 0.04/0.12 0.04/0.12 0.04/0.12 ### Specialization of cost equations eval_foo_bb0_in/1 0.04/0.12 * CE 2 is refined into CE [9] 0.04/0.12 0.04/0.12 0.04/0.12 ### Cost equations --> "Loop" of eval_foo_bb0_in/1 0.04/0.12 * CEs [9] --> Loop 9 0.04/0.12 0.04/0.12 ### Ranking functions of CR eval_foo_bb0_in(B) 0.04/0.12 0.04/0.12 #### Partial ranking functions of CR eval_foo_bb0_in(B) 0.04/0.12 0.04/0.12 0.04/0.12 ### Specialization of cost equations eval_foo_start/3 0.04/0.12 * CE 1 is refined into CE [10] 0.04/0.12 0.04/0.12 0.04/0.12 ### Cost equations --> "Loop" of eval_foo_start/3 0.04/0.12 * CEs [10] --> Loop 10 0.04/0.12 0.04/0.12 ### Ranking functions of CR eval_foo_start(V_i,V_c,B) 0.04/0.12 0.04/0.12 #### Partial ranking functions of CR eval_foo_start(V_i,V_c,B) 0.04/0.12 0.04/0.12 0.04/0.12 Computing Bounds 0.04/0.12 ===================================== 0.04/0.12 0.04/0.12 #### Cost of chains of eval_foo_bb1_in(V__0,B): 0.04/0.12 * Chain [[6],[7],8]: 1*it(6)+1*it(7)+0 0.04/0.12 Such that:it(7) =< 10 0.04/0.12 it(6) =< -V__0+10 0.04/0.12 0.04/0.12 with precondition: [B=2,9>=V__0,V__0>=0] 0.04/0.12 0.04/0.12 0.04/0.12 #### Cost of chains of eval_foo_bb0_in(B): 0.04/0.12 * Chain [9]: 2*s(1)+0 0.04/0.12 Such that:aux(1) =< 10 0.04/0.12 s(1) =< aux(1) 0.04/0.12 0.04/0.12 with precondition: [] 0.04/0.12 0.04/0.12 0.04/0.12 #### Cost of chains of eval_foo_start(V_i,V_c,B): 0.04/0.12 * Chain [10]: 2*s(4)+0 0.04/0.12 Such that:s(3) =< 10 0.04/0.12 s(4) =< s(3) 0.04/0.12 0.04/0.12 with precondition: [] 0.04/0.12 0.04/0.12 0.04/0.12 Closed-form bounds of eval_foo_start(V_i,V_c,B): 0.04/0.12 ------------------------------------- 0.04/0.12 * Chain [10] with precondition: [] 0.04/0.12 - Upper bound: 20 0.04/0.12 - Complexity: constant 0.04/0.12 0.04/0.12 ### Maximum cost of eval_foo_start(V_i,V_c,B): 20 0.04/0.12 Asymptotic class: constant 0.04/0.12 * Total analysis performed in 49 ms. 0.04/0.12 0.04/0.22 EOF