0.04/0.58 WORST_CASE(?,O(n^1)) 0.04/0.58 0.04/0.58 Preprocessing Cost Relations 0.04/0.58 ===================================== 0.04/0.58 0.04/0.58 #### Computed strongly connected components 0.04/0.58 0. recursive : [eval_start_bb3_in/6,eval_start_bb4_in/6] 0.04/0.58 1. recursive : [eval_start_bb1_in/9,eval_start_bb2_in/9,eval_start_bb3_in_loop_cont/10] 0.04/0.58 2. non_recursive : [eval_start_stop/7] 0.04/0.58 3. non_recursive : [eval_start_bb5_in/7] 0.04/0.58 4. non_recursive : [exit_location/1] 0.04/0.58 5. non_recursive : [eval_start_bb1_in_loop_cont/8] 0.04/0.58 6. non_recursive : [eval_start_5/7] 0.04/0.58 7. non_recursive : [eval_start_4/7] 0.04/0.58 8. non_recursive : [eval_start_3/7] 0.04/0.58 9. non_recursive : [eval_start_2/7] 0.04/0.58 10. non_recursive : [eval_start_1/7] 0.04/0.58 11. non_recursive : [eval_start_0/7] 0.04/0.58 12. non_recursive : [eval_start_bb0_in/7] 0.04/0.58 13. non_recursive : [eval_start_start/7] 0.04/0.58 0.04/0.58 #### Obtained direct recursion through partial evaluation 0.04/0.58 0. SCC is partially evaluated into eval_start_bb3_in/6 0.04/0.58 1. SCC is partially evaluated into eval_start_bb1_in/9 0.04/0.58 2. SCC is completely evaluated into other SCCs 0.04/0.58 3. SCC is completely evaluated into other SCCs 0.04/0.58 4. SCC is completely evaluated into other SCCs 0.04/0.58 5. SCC is partially evaluated into eval_start_bb1_in_loop_cont/8 0.04/0.58 6. SCC is partially evaluated into eval_start_5/7 0.04/0.58 7. SCC is completely evaluated into other SCCs 0.04/0.58 8. SCC is completely evaluated into other SCCs 0.04/0.58 9. SCC is completely evaluated into other SCCs 0.04/0.58 10. SCC is completely evaluated into other SCCs 0.04/0.58 11. SCC is completely evaluated into other SCCs 0.04/0.58 12. SCC is completely evaluated into other SCCs 0.04/0.58 13. SCC is partially evaluated into eval_start_start/7 0.04/0.58 0.04/0.58 Control-Flow Refinement of Cost Relations 0.04/0.58 ===================================== 0.04/0.58 0.04/0.58 ### Specialization of cost equations eval_start_bb3_in/6 0.04/0.58 * CE 11 is refined into CE [12] 0.04/0.58 * CE 10 is refined into CE [13] 0.04/0.58 * CE 9 is refined into CE [14] 0.04/0.58 0.04/0.58 0.04/0.58 ### Cost equations --> "Loop" of eval_start_bb3_in/6 0.04/0.58 * CEs [14] --> Loop 12 0.04/0.58 * CEs [12] --> Loop 13 0.04/0.58 * CEs [13] --> Loop 14 0.04/0.58 0.04/0.58 ### Ranking functions of CR eval_start_bb3_in(V__0,V__01,V__1,B,C,D) 0.04/0.58 * RF of phase [12]: [V__1/100-99/100] 0.04/0.58 0.04/0.58 #### Partial ranking functions of CR eval_start_bb3_in(V__0,V__01,V__1,B,C,D) 0.04/0.58 * Partial RF of phase [12]: 0.04/0.58 - RF of loop [12:1]: 0.04/0.58 V__1/100-99/100 0.04/0.58 0.04/0.58 0.04/0.58 ### Specialization of cost equations eval_start_bb1_in/9 0.04/0.58 * CE 5 is refined into CE [15] 0.04/0.58 * CE 3 is refined into CE [16,17] 0.04/0.58 * CE 6 is refined into CE [18] 0.04/0.58 * CE 4 is refined into CE [19,20] 0.04/0.58 0.04/0.58 0.04/0.58 ### Cost equations --> "Loop" of eval_start_bb1_in/9 0.04/0.58 * CEs [20] --> Loop 15 0.04/0.58 * CEs [19] --> Loop 16 0.04/0.58 * CEs [15] --> Loop 17 0.04/0.58 * CEs [16] --> Loop 18 0.04/0.58 * CEs [17] --> Loop 19 0.04/0.58 * CEs [18] --> Loop 20 0.04/0.58 0.04/0.58 ### Ranking functions of CR eval_start_bb1_in(V__0,V__01,V__1,V_1,B,C,D,E,F) 0.04/0.58 * RF of phase [15]: [-V__0] 0.04/0.58 * RF of phase [16]: [-V__0,-V__01/1000-9/10] 0.04/0.58 0.04/0.58 #### Partial ranking functions of CR eval_start_bb1_in(V__0,V__01,V__1,V_1,B,C,D,E,F) 0.04/0.58 * Partial RF of phase [15]: 0.04/0.58 - RF of loop [15:1]: 0.04/0.58 -V__0 0.04/0.58 * Partial RF of phase [16]: 0.04/0.58 - RF of loop [16:1]: 0.04/0.58 -V__0 0.04/0.58 -V__01/1000-9/10 0.04/0.58 0.04/0.58 0.04/0.58 ### Specialization of cost equations eval_start_bb1_in_loop_cont/8 0.04/0.58 * CE 7 is refined into CE [21] 0.04/0.58 * CE 8 is refined into CE [22] 0.04/0.58 0.04/0.58 0.04/0.58 ### Cost equations --> "Loop" of eval_start_bb1_in_loop_cont/8 0.04/0.58 * CEs [21] --> Loop 21 0.04/0.58 * CEs [22] --> Loop 22 0.04/0.58 0.04/0.58 ### Ranking functions of CR eval_start_bb1_in_loop_cont(A,B,C,D,E,F,G,H) 0.04/0.58 0.04/0.58 #### Partial ranking functions of CR eval_start_bb1_in_loop_cont(A,B,C,D,E,F,G,H) 0.04/0.58 0.04/0.58 0.04/0.58 ### Specialization of cost equations eval_start_5/7 0.04/0.58 * CE 2 is refined into CE [23,24,25,26,27,28,29,30,31,32,33,34] 0.04/0.58 0.04/0.58 0.04/0.58 ### Cost equations --> "Loop" of eval_start_5/7 0.04/0.58 * CEs [34] --> Loop 23 0.04/0.58 * CEs [30] --> Loop 24 0.04/0.58 * CEs [29] --> Loop 25 0.04/0.58 * CEs [28,32] --> Loop 26 0.04/0.58 * CEs [27] --> Loop 27 0.04/0.58 * CEs [33] --> Loop 28 0.04/0.58 * CEs [26,31] --> Loop 29 0.04/0.58 * CEs [25] --> Loop 30 0.04/0.58 * CEs [24] --> Loop 31 0.04/0.58 * CEs [23] --> Loop 32 0.04/0.58 0.04/0.58 ### Ranking functions of CR eval_start_5(V__0,V__01,V__1,V_1,V_n,V_y,B) 0.04/0.58 0.04/0.58 #### Partial ranking functions of CR eval_start_5(V__0,V__01,V__1,V_1,V_n,V_y,B) 0.04/0.58 0.04/0.58 0.04/0.58 ### Specialization of cost equations eval_start_start/7 0.04/0.58 * CE 1 is refined into CE [35,36,37,38,39,40,41,42,43,44] 0.04/0.58 0.04/0.58 0.04/0.58 ### Cost equations --> "Loop" of eval_start_start/7 0.04/0.58 * CEs [44] --> Loop 33 0.04/0.58 * CEs [43] --> Loop 34 0.04/0.58 * CEs [42] --> Loop 35 0.04/0.58 * CEs [41] --> Loop 36 0.04/0.58 * CEs [40] --> Loop 37 0.04/0.58 * CEs [39] --> Loop 38 0.04/0.58 * CEs [38] --> Loop 39 0.04/0.58 * CEs [37] --> Loop 40 0.04/0.58 * CEs [36] --> Loop 41 0.04/0.58 * CEs [35] --> Loop 42 0.04/0.58 0.04/0.58 ### Ranking functions of CR eval_start_start(V__0,V__01,V__1,V_1,V_n,V_y,B) 0.04/0.58 0.04/0.58 #### Partial ranking functions of CR eval_start_start(V__0,V__01,V__1,V_1,V_n,V_y,B) 0.04/0.58 0.04/0.58 0.04/0.58 Computing Bounds 0.04/0.58 ===================================== 0.04/0.58 0.04/0.58 #### Cost of chains of eval_start_bb3_in(V__0,V__01,V__1,B,C,D): 0.04/0.58 * Chain [[12],14]: 1*it(12)+0 0.04/0.58 Such that:it(12) =< V__1/100-D/100 0.04/0.58 0.04/0.58 with precondition: [B=2,C=D,0>=V__0+1,99>=C,C>=0,V__01+1000>=V__1,V__1>=C+100] 0.04/0.58 0.04/0.58 * Chain [[12],13]: 1*it(12)+0 0.04/0.58 Such that:it(12) =< V__1/100 0.04/0.58 0.04/0.58 with precondition: [B=3,0>=V__0+1,V__1>=100,V__01+1000>=V__1] 0.04/0.58 0.04/0.58 * Chain [14]: 0 0.04/0.58 with precondition: [B=2,V__1=C,V__1=D,0>=V__0+1,99>=V__1,V__01+1000>=V__1] 0.04/0.58 0.04/0.58 * Chain [13]: 0 0.04/0.58 with precondition: [B=3,0>=V__0+1,V__01+1000>=V__1] 0.04/0.58 0.04/0.58 0.04/0.58 #### Cost of chains of eval_start_bb1_in(V__0,V__01,V__1,V_1,B,C,D,E,F): 0.04/0.58 * Chain [[16],[15],20]: 1*it(15)+1*it(16)+1*s(3)+0 0.04/0.58 Such that:s(3) =< -10*V__0+V__01/100 0.04/0.58 it(16) =< -V__01/1000 0.04/0.58 aux(1) =< -V__0 0.04/0.58 it(15) =< aux(1) 0.04/0.58 it(16) =< aux(1) 0.04/0.58 0.04/0.58 with precondition: [B=3,0>=V__0+2,0>=V__01+901,V__01>=1000*V__0+100] 0.04/0.58 0.04/0.58 * Chain [[16],[15],19]: 1*it(15)+1*it(16)+1*s(3)+0 0.04/0.58 Such that:s(3) =< -10*V__0+V__01/100 0.04/0.58 it(16) =< -V__01/1000 0.04/0.58 aux(2) =< -V__0 0.04/0.58 it(15) =< aux(2) 0.04/0.58 it(16) =< aux(2) 0.04/0.58 0.04/0.58 with precondition: [B=3,0>=V__0+3,0>=V__01+901,V__01>=1000*V__0+1100] 0.04/0.58 0.04/0.58 * Chain [[16],[15],18]: 1*it(15)+1*it(16)+1*s(3)+1*s(4)+0 0.04/0.58 Such that:it(16) =< -V__01/1000 0.04/0.58 aux(4) =< -1000*V__0+V__01+1702 0.04/0.58 aux(5) =< -10*V__0+V__01/100 0.04/0.58 aux(6) =< -V__0 0.04/0.58 it(15) =< aux(4) 0.04/0.58 s(4) =< aux(4) 0.04/0.58 s(4) =< aux(5) 0.04/0.58 it(15) =< aux(6) 0.04/0.58 it(16) =< aux(6) 0.04/0.58 s(3) =< aux(5) 0.04/0.58 0.04/0.58 with precondition: [B=3,0>=V__0+3,0>=V__01+901,V__01>=1000*V__0+1100] 0.04/0.58 0.04/0.58 * Chain [[16],[15],17]: 1*it(15)+1*it(16)+1*s(3)+0 0.04/0.58 Such that:s(3) =< -10*V__0+V__01/100-E/100 0.04/0.58 it(16) =< -V__01/1000 0.04/0.58 aux(7) =< -V__0 0.04/0.58 it(15) =< aux(7) 0.04/0.58 it(16) =< aux(7) 0.04/0.58 0.04/0.58 with precondition: [B=4,C=0,F=0,D=E,0>=V__0+2,0>=V__01+901,99>=D,D>=0,V__01>=1000*V__0+D+100] 0.04/0.58 0.04/0.58 * Chain [[16],20]: 1*it(16)+0 0.04/0.58 Such that:it(16) =< -V__0 0.04/0.58 it(16) =< -V__01/1000 0.04/0.58 0.04/0.58 with precondition: [B=3,0>=V__0+1,0>=V__01+901] 0.04/0.58 0.04/0.58 * Chain [[16],19]: 1*it(16)+0 0.04/0.58 Such that:it(16) =< -V__0 0.04/0.58 it(16) =< -V__01/1000 0.04/0.58 0.04/0.58 with precondition: [B=3,0>=V__0+2,0>=V__01+901] 0.04/0.58 0.04/0.58 * Chain [[16],18]: 1*it(16)+1*s(4)+0 0.04/0.58 Such that:s(4) =< 1099/100 0.04/0.58 s(4) =< -10*V__0+V__01/100 0.04/0.58 it(16) =< -V__0 0.04/0.58 it(16) =< -V__01/1000 0.04/0.58 0.04/0.58 with precondition: [B=3,0>=V__0+2,0>=V__01+901,V__01>=1000*V__0+100] 0.04/0.58 0.04/0.58 * Chain [[16],17]: 1*it(16)+0 0.04/0.58 Such that:it(16) =< -V__0 0.04/0.58 it(16) =< -V__0-D/1000 0.04/0.58 0.04/0.58 with precondition: [B=4,C=0,F=0,D+1000*V__0=V__01,E+1000*V__0=V__01,0>=V__0+1,1000*V__0+99>=V__01] 0.04/0.58 0.04/0.58 * Chain [[15],20]: 1*it(15)+1*s(3)+0 0.04/0.58 Such that:s(3) =< -10*V__0+V__01/100 0.04/0.58 it(15) =< -V__0 0.04/0.58 0.04/0.58 with precondition: [B=3,0>=V__0+1,V__01+900>=0] 0.04/0.58 0.04/0.58 * Chain [[15],19]: 1*it(15)+1*s(3)+0 0.04/0.58 Such that:s(3) =< -10*V__0+V__01/100 0.04/0.58 it(15) =< -V__0 0.04/0.58 0.04/0.58 with precondition: [B=3,0>=V__0+2,V__01+900>=0] 0.04/0.58 0.04/0.58 * Chain [[15],18]: 1*it(15)+1*s(3)+1*s(4)+0 0.04/0.58 Such that:it(15) =< -V__0 0.04/0.58 s(4) =< -99/100*V__0+V__01/100+851/50 0.04/0.58 aux(3) =< -10*V__0+V__01/100 0.04/0.58 s(3) =< aux(3) 0.04/0.58 s(4) =< aux(3) 0.04/0.58 0.04/0.58 with precondition: [B=3,0>=V__0+2,V__01+900>=0] 0.04/0.58 0.04/0.58 * Chain [[15],17]: 1*it(15)+1*s(3)+0 0.04/0.58 Such that:s(3) =< -10*V__0+V__01/100-D/100 0.04/0.58 it(15) =< -V__0 0.04/0.58 0.04/0.58 with precondition: [B=4,C=0,F=0,D=E,0>=V__0+1,99>=D,V__01+900>=0,D>=0,V__01+801>=99*V__0+D] 0.04/0.58 0.04/0.58 * Chain [20]: 0 0.04/0.58 with precondition: [B=3] 0.04/0.58 0.04/0.58 * Chain [19]: 0 0.04/0.58 with precondition: [B=3,0>=V__0+1] 0.04/0.58 0.04/0.58 * Chain [18]: 1*s(4)+0 0.04/0.58 Such that:s(4) =< V__01/100+10 0.04/0.58 0.04/0.58 with precondition: [B=3,0>=V__0+1,V__01+900>=0] 0.04/0.58 0.04/0.58 * Chain [17]: 0 0.04/0.58 with precondition: [B=4,D=V__01,E=V__1,F=V_1,V__0=C,V__0>=0] 0.04/0.58 0.04/0.58 0.04/0.58 #### Cost of chains of eval_start_bb1_in_loop_cont(A,B,C,D,E,F,G,H): 0.04/0.58 * Chain [22]: 0 0.04/0.58 with precondition: [A=3] 0.04/0.58 0.04/0.58 * Chain [21]: 0 0.04/0.58 with precondition: [A=4] 0.04/0.58 0.04/0.58 0.04/0.58 #### Cost of chains of eval_start_5(V__0,V__01,V__1,V_1,V_n,V_y,B): 0.04/0.58 * Chain [32]: 0 0.04/0.58 with precondition: [] 0.04/0.58 0.04/0.58 * Chain [31]: 0 0.04/0.58 with precondition: [0>=V_n+1] 0.04/0.58 0.04/0.58 * Chain [30]: 1*s(31)+0 0.04/0.58 Such that:s(31) =< -V_n 0.04/0.58 s(31) =< -V_y/1000 0.04/0.58 0.04/0.58 with precondition: [0>=V_n+1,0>=V_y+901] 0.04/0.58 0.04/0.58 * Chain [29]: 2*s(32)+2*s(33)+1*s(34)+0 0.04/0.58 Such that:s(34) =< V_y/100+10 0.04/0.58 aux(16) =< -10*V_n+V_y/100 0.04/0.58 aux(17) =< -V_n 0.04/0.58 s(32) =< aux(16) 0.04/0.58 s(33) =< aux(17) 0.04/0.58 0.04/0.58 with precondition: [0>=V_n+1,V_y+900>=0] 0.04/0.58 0.04/0.58 * Chain [28]: 1*s(37)+0 0.04/0.58 Such that:s(37) =< -V_n 0.04/0.58 s(37) =< -V_y/1000 0.04/0.58 0.04/0.58 with precondition: [0>=V_n+1,1000*V_n+99>=V_y] 0.04/0.58 0.04/0.58 * Chain [27]: 1*s(38)+0 0.04/0.58 Such that:s(38) =< -V_n 0.04/0.58 s(38) =< -V_y/1000 0.04/0.58 0.04/0.58 with precondition: [0>=V_n+2,0>=V_y+901] 0.04/0.58 0.04/0.58 * Chain [26]: 1*s(39)+2*s(43)+3*s(44)+2*s(45)+0 0.04/0.58 Such that:s(39) =< 1099/100 0.04/0.58 aux(18) =< -10*V_n+V_y/100 0.04/0.58 aux(19) =< -V_n 0.04/0.58 aux(20) =< -V_y/1000 0.04/0.58 s(43) =< aux(18) 0.04/0.58 s(44) =< aux(20) 0.04/0.58 s(39) =< aux(18) 0.04/0.58 s(44) =< aux(19) 0.04/0.58 s(45) =< aux(19) 0.04/0.58 0.04/0.58 with precondition: [0>=V_n+2,0>=V_y+901,V_y>=1000*V_n+100] 0.04/0.58 0.04/0.58 * Chain [25]: 1*s(50)+2*s(53)+2*s(54)+0 0.04/0.58 Such that:s(51) =< -10*V_n+V_y/100 0.04/0.58 s(52) =< -V_n 0.04/0.58 s(50) =< -99/100*V_n+V_y/100+851/50 0.04/0.58 s(53) =< s(51) 0.04/0.58 s(54) =< s(52) 0.04/0.58 s(50) =< s(51) 0.04/0.58 0.04/0.58 with precondition: [0>=V_n+2,V_y+900>=0] 0.04/0.58 0.04/0.58 * Chain [24]: 2*s(59)+2*s(60)+1*s(61)+1*s(62)+1*s(63)+0 0.04/0.58 Such that:s(55) =< -1000*V_n+V_y+1702 0.04/0.58 s(56) =< -10*V_n+V_y/100 0.04/0.58 s(57) =< -V_n 0.04/0.58 s(58) =< -V_y/1000 0.04/0.58 s(59) =< s(56) 0.04/0.58 s(60) =< s(58) 0.04/0.58 s(61) =< s(57) 0.04/0.58 s(60) =< s(57) 0.04/0.58 s(62) =< s(55) 0.04/0.58 s(63) =< s(55) 0.04/0.58 s(63) =< s(56) 0.04/0.58 s(62) =< s(57) 0.04/0.58 0.04/0.58 with precondition: [0>=V_n+3,0>=V_y+901,V_y>=1000*V_n+1100] 0.04/0.58 0.04/0.58 * Chain [23]: 0 0.04/0.58 with precondition: [V_n>=0] 0.04/0.58 0.04/0.58 0.04/0.58 #### Cost of chains of eval_start_start(V__0,V__01,V__1,V_1,V_n,V_y,B): 0.04/0.58 * Chain [42]: 0 0.04/0.58 with precondition: [] 0.04/0.58 0.04/0.58 * Chain [41]: 0 0.04/0.58 with precondition: [0>=V_n+1] 0.04/0.58 0.04/0.58 * Chain [40]: 1*s(64)+0 0.04/0.58 Such that:s(64) =< -V_n 0.04/0.58 s(64) =< -V_y/1000 0.04/0.58 0.04/0.58 with precondition: [0>=V_n+1,0>=V_y+901] 0.04/0.58 0.04/0.58 * Chain [39]: 1*s(65)+2*s(68)+2*s(69)+0 0.04/0.58 Such that:s(66) =< -10*V_n+V_y/100 0.04/0.58 s(67) =< -V_n 0.04/0.58 s(65) =< V_y/100+10 0.04/0.58 s(68) =< s(66) 0.04/0.58 s(69) =< s(67) 0.04/0.58 0.04/0.58 with precondition: [0>=V_n+1,V_y+900>=0] 0.04/0.58 0.04/0.58 * Chain [38]: 1*s(70)+0 0.04/0.58 Such that:s(70) =< -V_n 0.04/0.58 s(70) =< -V_y/1000 0.04/0.58 0.04/0.58 with precondition: [0>=V_n+1,1000*V_n+99>=V_y] 0.04/0.58 0.04/0.58 * Chain [37]: 1*s(71)+0 0.04/0.58 Such that:s(71) =< -V_n 0.04/0.58 s(71) =< -V_y/1000 0.04/0.58 0.04/0.58 with precondition: [0>=V_n+2,0>=V_y+901] 0.04/0.58 0.04/0.58 * Chain [36]: 1*s(72)+2*s(76)+3*s(77)+2*s(78)+0 0.04/0.58 Such that:s(72) =< 1099/100 0.04/0.58 s(73) =< -10*V_n+V_y/100 0.04/0.58 s(74) =< -V_n 0.04/0.59 s(75) =< -V_y/1000 0.04/0.59 s(76) =< s(73) 0.04/0.59 s(77) =< s(75) 0.04/0.59 s(72) =< s(73) 0.04/0.59 s(77) =< s(74) 0.04/0.59 s(78) =< s(74) 0.04/0.59 0.04/0.59 with precondition: [0>=V_n+2,0>=V_y+901,V_y>=1000*V_n+100] 0.04/0.59 0.04/0.59 * Chain [35]: 1*s(81)+2*s(82)+2*s(83)+0 0.04/0.59 Such that:s(79) =< -10*V_n+V_y/100 0.04/0.59 s(80) =< -V_n 0.04/0.59 s(81) =< -99/100*V_n+V_y/100+851/50 0.04/0.59 s(82) =< s(79) 0.04/0.59 s(83) =< s(80) 0.04/0.59 s(81) =< s(79) 0.04/0.59 0.04/0.59 with precondition: [0>=V_n+2,V_y+900>=0] 0.04/0.59 0.04/0.59 * Chain [34]: 2*s(88)+2*s(89)+1*s(90)+1*s(91)+1*s(92)+0 0.04/0.59 Such that:s(84) =< -1000*V_n+V_y+1702 0.04/0.59 s(85) =< -10*V_n+V_y/100 0.04/0.59 s(86) =< -V_n 0.04/0.59 s(87) =< -V_y/1000 0.04/0.59 s(88) =< s(85) 0.04/0.59 s(89) =< s(87) 0.04/0.59 s(90) =< s(86) 0.04/0.59 s(89) =< s(86) 0.04/0.59 s(91) =< s(84) 0.04/0.59 s(92) =< s(84) 0.04/0.59 s(92) =< s(85) 0.04/0.59 s(91) =< s(86) 0.04/0.59 0.04/0.59 with precondition: [0>=V_n+3,0>=V_y+901,V_y>=1000*V_n+1100] 0.04/0.59 0.04/0.59 * Chain [33]: 0 0.04/0.59 with precondition: [V_n>=0] 0.04/0.59 0.04/0.59 0.04/0.59 Closed-form bounds of eval_start_start(V__0,V__01,V__1,V_1,V_n,V_y,B): 0.04/0.59 ------------------------------------- 0.04/0.59 * Chain [42] with precondition: [] 0.04/0.59 - Upper bound: 0 0.04/0.59 - Complexity: constant 0.04/0.59 * Chain [41] with precondition: [0>=V_n+1] 0.04/0.59 - Upper bound: 0 0.04/0.59 - Complexity: constant 0.04/0.59 * Chain [40] with precondition: [0>=V_n+1,0>=V_y+901] 0.04/0.59 - Upper bound: -V_n 0.04/0.59 - Complexity: n 0.04/0.59 * Chain [39] with precondition: [0>=V_n+1,V_y+900>=0] 0.04/0.59 - Upper bound: -22*V_n+3/100*V_y+10 0.04/0.59 - Complexity: n 0.04/0.59 * Chain [38] with precondition: [0>=V_n+1,1000*V_n+99>=V_y] 0.04/0.59 - Upper bound: -V_n 0.04/0.59 - Complexity: n 0.04/0.59 * Chain [37] with precondition: [0>=V_n+2,0>=V_y+901] 0.04/0.59 - Upper bound: -V_n 0.04/0.59 - Complexity: n 0.04/0.59 * Chain [36] with precondition: [0>=V_n+2,0>=V_y+901,V_y>=1000*V_n+100] 0.04/0.59 - Upper bound: -22*V_n+17/1000*V_y+1099/100 0.04/0.59 - Complexity: n 0.04/0.59 * Chain [35] with precondition: [0>=V_n+2,V_y+900>=0] 0.04/0.59 - Upper bound: -2299/100*V_n+3/100*V_y+851/50 0.04/0.59 - Complexity: n 0.04/0.59 * Chain [34] with precondition: [0>=V_n+3,0>=V_y+901,V_y>=1000*V_n+1100] 0.04/0.59 - Upper bound: -2021*V_n+1009/500*V_y+3404 0.04/0.59 - Complexity: n 0.04/0.59 * Chain [33] with precondition: [V_n>=0] 0.04/0.59 - Upper bound: 0 0.04/0.59 - Complexity: constant 0.04/0.59 0.04/0.59 ### Maximum cost of eval_start_start(V__0,V__01,V__1,V_1,V_n,V_y,B): nat(-10*V_n+V_y/100)*2+max([nat(-V_n)+max([nat(-99/100*V_n+V_y/100+851/50),nat(V_y/100+10),1099/100+nat(-V_y/1000)*3]),nat(-V_y/1000)*2+nat(-1000*V_n+V_y+1702)*2])+nat(-V_n) 0.04/0.59 Asymptotic class: n 0.04/0.59 * Total analysis performed in 502 ms. 0.04/0.59 0.59/0.69 EOF