0.05/0.19 WORST_CASE(?,O(n^1)) 0.05/0.19 0.05/0.19 Preprocessing Cost Relations 0.05/0.19 ===================================== 0.05/0.19 0.05/0.19 #### Computed strongly connected components 0.05/0.19 0. recursive : [eval_zwritehexstring_at_extracted_bb3_in/3] 0.05/0.19 1. recursive : [eval_zwritehexstring_at_extracted_bb1_in/2,eval_zwritehexstring_at_extracted_bb2_in/2,eval_zwritehexstring_at_extracted_bb3_in_loop_cont/5,eval_zwritehexstring_at_extracted_bb4_in/4] 0.05/0.19 2. non_recursive : [eval_zwritehexstring_at_extracted_stop/1] 0.05/0.19 3. non_recursive : [eval_zwritehexstring_at_extracted_bb5_in/1] 0.05/0.19 4. non_recursive : [eval_zwritehexstring_at_extracted_bb1_in_loop_cont/2] 0.05/0.19 5. non_recursive : [eval_zwritehexstring_at_extracted_bb0_in/2] 0.05/0.19 6. non_recursive : [eval_zwritehexstring_at_extracted_start/2] 0.05/0.19 0.05/0.19 #### Obtained direct recursion through partial evaluation 0.05/0.19 0. SCC is partially evaluated into eval_zwritehexstring_at_extracted_bb3_in/3 0.05/0.19 1. SCC is partially evaluated into eval_zwritehexstring_at_extracted_bb1_in/2 0.05/0.19 2. SCC is completely evaluated into other SCCs 0.05/0.19 3. SCC is completely evaluated into other SCCs 0.05/0.19 4. SCC is completely evaluated into other SCCs 0.05/0.19 5. SCC is partially evaluated into eval_zwritehexstring_at_extracted_bb0_in/2 0.05/0.19 6. SCC is partially evaluated into eval_zwritehexstring_at_extracted_start/2 0.05/0.19 0.05/0.19 Control-Flow Refinement of Cost Relations 0.05/0.19 ===================================== 0.05/0.19 0.05/0.19 ### Specialization of cost equations eval_zwritehexstring_at_extracted_bb3_in/3 0.05/0.19 * CE 7 is refined into CE [8] 0.05/0.19 * CE 6 is refined into CE [9] 0.05/0.19 0.05/0.19 0.05/0.19 ### Cost equations --> "Loop" of eval_zwritehexstring_at_extracted_bb3_in/3 0.05/0.19 * CEs [9] --> Loop 8 0.05/0.19 * CEs [8] --> Loop 9 0.05/0.19 0.05/0.19 ### Ranking functions of CR eval_zwritehexstring_at_extracted_bb3_in(V_count_0,B,C) 0.05/0.19 * RF of phase [8]: [V_count_0-1] 0.05/0.19 0.05/0.19 #### Partial ranking functions of CR eval_zwritehexstring_at_extracted_bb3_in(V_count_0,B,C) 0.05/0.19 * Partial RF of phase [8]: 0.05/0.19 - RF of loop [8:1]: 0.05/0.19 V_count_0-1 0.05/0.19 0.05/0.19 0.05/0.19 ### Specialization of cost equations eval_zwritehexstring_at_extracted_bb1_in/2 0.05/0.19 * CE 5 is refined into CE [10] 0.05/0.19 * CE 4 is refined into CE [11] 0.05/0.19 * CE 3 is refined into CE [12,13] 0.05/0.19 0.05/0.19 0.05/0.19 ### Cost equations --> "Loop" of eval_zwritehexstring_at_extracted_bb1_in/2 0.05/0.19 * CEs [11] --> Loop 10 0.05/0.19 * CEs [13] --> Loop 11 0.05/0.19 * CEs [12] --> Loop 12 0.05/0.19 * CEs [10] --> Loop 13 0.05/0.19 0.05/0.19 ### Ranking functions of CR eval_zwritehexstring_at_extracted_bb1_in(V__0,B) 0.05/0.19 * RF of phase [10]: [V__0-63] 0.05/0.19 0.05/0.19 #### Partial ranking functions of CR eval_zwritehexstring_at_extracted_bb1_in(V__0,B) 0.05/0.19 * Partial RF of phase [10]: 0.05/0.19 - RF of loop [10:1]: 0.05/0.19 V__0-63 0.05/0.19 0.05/0.19 0.05/0.19 ### Specialization of cost equations eval_zwritehexstring_at_extracted_bb0_in/2 0.05/0.19 * CE 2 is refined into CE [14,15,16,17,18,19] 0.05/0.19 0.05/0.19 0.05/0.19 ### Cost equations --> "Loop" of eval_zwritehexstring_at_extracted_bb0_in/2 0.05/0.19 * CEs [19] --> Loop 14 0.05/0.19 * CEs [18] --> Loop 15 0.05/0.19 * CEs [17] --> Loop 16 0.05/0.19 * CEs [16] --> Loop 17 0.05/0.19 * CEs [15] --> Loop 18 0.05/0.19 * CEs [14] --> Loop 19 0.05/0.19 0.05/0.19 ### Ranking functions of CR eval_zwritehexstring_at_extracted_bb0_in(V_len,B) 0.05/0.19 0.05/0.19 #### Partial ranking functions of CR eval_zwritehexstring_at_extracted_bb0_in(V_len,B) 0.05/0.19 0.05/0.19 0.05/0.19 ### Specialization of cost equations eval_zwritehexstring_at_extracted_start/2 0.05/0.19 * CE 1 is refined into CE [20,21,22,23,24,25] 0.05/0.19 0.05/0.19 0.05/0.19 ### Cost equations --> "Loop" of eval_zwritehexstring_at_extracted_start/2 0.05/0.19 * CEs [25] --> Loop 20 0.05/0.19 * CEs [24] --> Loop 21 0.05/0.19 * CEs [23] --> Loop 22 0.05/0.19 * CEs [22] --> Loop 23 0.05/0.19 * CEs [21] --> Loop 24 0.05/0.19 * CEs [20] --> Loop 25 0.05/0.19 0.05/0.19 ### Ranking functions of CR eval_zwritehexstring_at_extracted_start(V_len,B) 0.05/0.19 0.05/0.19 #### Partial ranking functions of CR eval_zwritehexstring_at_extracted_start(V_len,B) 0.05/0.19 0.05/0.19 0.05/0.19 Computing Bounds 0.05/0.19 ===================================== 0.05/0.19 0.05/0.19 #### Cost of chains of eval_zwritehexstring_at_extracted_bb3_in(V_count_0,B,C): 0.05/0.19 * Chain [[8],9]: 1*it(8)+0 0.05/0.19 Such that:it(8) =< V_count_0 0.05/0.19 0.05/0.19 with precondition: [B=2,C=1,64>=V_count_0,V_count_0>=2] 0.05/0.19 0.05/0.19 * Chain [9]: 0 0.05/0.19 with precondition: [V_count_0=1,B=2,C=1] 0.05/0.19 0.05/0.19 0.05/0.19 #### Cost of chains of eval_zwritehexstring_at_extracted_bb1_in(V__0,B): 0.05/0.19 * Chain [[10],13]: 1*it(10)+1*s(3)+0 0.05/0.19 Such that:aux(4) =< V__0 0.05/0.19 it(10) =< aux(4) 0.05/0.19 s(3) =< aux(4)*64 0.05/0.19 0.05/0.19 with precondition: [B=3,V__0>=64] 0.05/0.19 0.05/0.19 * Chain [[10],12,13]: 1*it(10)+1*s(3)+1 0.05/0.19 Such that:aux(5) =< V__0 0.05/0.19 it(10) =< aux(5) 0.05/0.19 s(3) =< aux(5)*64 0.05/0.19 0.05/0.19 with precondition: [B=3,V__0>=65] 0.05/0.19 0.05/0.19 * Chain [[10],11,13]: 1*it(10)+1*s(3)+1*s(4)+1 0.05/0.19 Such that:s(4) =< 63 0.05/0.19 aux(6) =< V__0 0.05/0.19 s(4) =< aux(6) 0.05/0.19 it(10) =< aux(6) 0.05/0.19 s(3) =< aux(6)*64 0.05/0.19 0.05/0.19 with precondition: [B=3,V__0>=66] 0.05/0.19 0.05/0.19 * Chain [13]: 0 0.05/0.19 with precondition: [B=3,0>=V__0] 0.05/0.19 0.05/0.19 * Chain [12,13]: 1 0.05/0.19 with precondition: [V__0=1,B=3] 0.05/0.19 0.05/0.19 * Chain [11,13]: 1*s(4)+1 0.05/0.19 Such that:s(4) =< V__0 0.05/0.19 0.05/0.19 with precondition: [B=3,63>=V__0,V__0>=2] 0.05/0.19 0.05/0.19 0.05/0.19 #### Cost of chains of eval_zwritehexstring_at_extracted_bb0_in(V_len,B): 0.05/0.19 * Chain [19]: 1 0.05/0.19 with precondition: [V_len=1] 0.05/0.19 0.05/0.19 * Chain [18]: 1*s(5)+1 0.05/0.19 Such that:s(5) =< V_len 0.05/0.19 0.05/0.19 with precondition: [63>=V_len,V_len>=2] 0.05/0.19 0.05/0.19 * Chain [17]: 0 0.05/0.19 with precondition: [0>=V_len] 0.05/0.19 0.05/0.19 * Chain [16]: 1*s(7)+1*s(8)+0 0.05/0.19 Such that:s(6) =< V_len 0.05/0.19 s(7) =< s(6) 0.05/0.19 s(8) =< s(6)*64 0.05/0.19 0.05/0.19 with precondition: [V_len>=64] 0.05/0.19 0.05/0.19 * Chain [15]: 1*s(10)+1*s(11)+1 0.05/0.19 Such that:s(9) =< V_len 0.05/0.19 s(10) =< s(9) 0.05/0.19 s(11) =< s(9)*64 0.05/0.19 0.05/0.19 with precondition: [V_len>=65] 0.05/0.19 0.05/0.19 * Chain [14]: 1*s(12)+1*s(14)+1*s(15)+1 0.05/0.19 Such that:s(12) =< 63 0.05/0.19 s(13) =< V_len 0.05/0.19 s(12) =< s(13) 0.05/0.19 s(14) =< s(13) 0.05/0.19 s(15) =< s(13)*64 0.05/0.19 0.05/0.19 with precondition: [V_len>=66] 0.05/0.19 0.05/0.19 0.05/0.19 #### Cost of chains of eval_zwritehexstring_at_extracted_start(V_len,B): 0.05/0.19 * Chain [25]: 1 0.05/0.19 with precondition: [V_len=1] 0.05/0.19 0.05/0.19 * Chain [24]: 1*s(16)+1 0.05/0.19 Such that:s(16) =< V_len 0.05/0.19 0.05/0.19 with precondition: [63>=V_len,V_len>=2] 0.05/0.19 0.05/0.19 * Chain [23]: 0 0.05/0.19 with precondition: [0>=V_len] 0.05/0.19 0.05/0.19 * Chain [22]: 1*s(18)+1*s(19)+0 0.05/0.19 Such that:s(17) =< V_len 0.05/0.19 s(18) =< s(17) 0.05/0.19 s(19) =< s(17)*64 0.05/0.19 0.05/0.19 with precondition: [V_len>=64] 0.05/0.19 0.05/0.19 * Chain [21]: 1*s(21)+1*s(22)+1 0.05/0.19 Such that:s(20) =< V_len 0.05/0.19 s(21) =< s(20) 0.05/0.19 s(22) =< s(20)*64 0.05/0.19 0.05/0.19 with precondition: [V_len>=65] 0.05/0.19 0.05/0.19 * Chain [20]: 1*s(23)+1*s(25)+1*s(26)+1 0.05/0.19 Such that:s(23) =< 63 0.05/0.19 s(24) =< V_len 0.05/0.19 s(23) =< s(24) 0.05/0.19 s(25) =< s(24) 0.05/0.19 s(26) =< s(24)*64 0.05/0.19 0.05/0.19 with precondition: [V_len>=66] 0.05/0.19 0.05/0.19 0.05/0.19 Closed-form bounds of eval_zwritehexstring_at_extracted_start(V_len,B): 0.05/0.19 ------------------------------------- 0.05/0.19 * Chain [25] with precondition: [V_len=1] 0.05/0.19 - Upper bound: 1 0.05/0.19 - Complexity: constant 0.05/0.19 * Chain [24] with precondition: [63>=V_len,V_len>=2] 0.05/0.19 - Upper bound: V_len+1 0.05/0.19 - Complexity: n 0.05/0.19 * Chain [23] with precondition: [0>=V_len] 0.05/0.19 - Upper bound: 0 0.05/0.19 - Complexity: constant 0.05/0.19 * Chain [22] with precondition: [V_len>=64] 0.05/0.19 - Upper bound: 65*V_len 0.05/0.19 - Complexity: n 0.05/0.19 * Chain [21] with precondition: [V_len>=65] 0.05/0.19 - Upper bound: 65*V_len+1 0.05/0.19 - Complexity: n 0.05/0.19 * Chain [20] with precondition: [V_len>=66] 0.05/0.19 - Upper bound: 65*V_len+64 0.05/0.19 - Complexity: n 0.05/0.19 0.05/0.19 ### Maximum cost of eval_zwritehexstring_at_extracted_start(V_len,B): max([1,nat(V_len)+max([1,nat(V_len)*64+64])]) 0.05/0.19 Asymptotic class: n 0.05/0.19 * Total analysis performed in 115 ms. 0.05/0.19 0.05/0.29 EOF