YES(?,POLY) * Step 1: UnsatPaths WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval_speedSimpleMultipleDep_start(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb0_in(v_m,v_n,v_x_0,v_y_0) True (1,1) 1. eval_speedSimpleMultipleDep_bb0_in(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_0(v_m,v_n,v_x_0,v_y_0) True (?,1) 2. eval_speedSimpleMultipleDep_0(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_1(v_m,v_n,v_x_0,v_y_0) True (?,1) 3. eval_speedSimpleMultipleDep_1(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_2(v_m,v_n,v_x_0,v_y_0) True (?,1) 4. eval_speedSimpleMultipleDep_2(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_3(v_m,v_n,v_x_0,v_y_0) True (?,1) 5. eval_speedSimpleMultipleDep_3(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_4(v_m,v_n,v_x_0,v_y_0) True (?,1) 6. eval_speedSimpleMultipleDep_4(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_5(v_m,v_n,v_x_0,v_y_0) True (?,1) 7. eval_speedSimpleMultipleDep_5(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_6(v_m,v_n,v_x_0,v_y_0) True (?,1) 8. eval_speedSimpleMultipleDep_6(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_7(v_m,v_n,v_x_0,v_y_0) True (?,1) 9. eval_speedSimpleMultipleDep_7(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb1_in(v_m,v_n,0,0) True (?,1) 10. eval_speedSimpleMultipleDep_bb1_in(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb2_in(v_m,v_n,v_x_0,v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && -1 + v_n >= v_x_0] (?,1) 11. eval_speedSimpleMultipleDep_bb1_in(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb3_in(v_m,v_n,v_x_0,v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && v_x_0 >= v_n] (?,1) 12. eval_speedSimpleMultipleDep_bb2_in(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb1_in(v_m,v_n,v_x_0,1 + v_y_0) [v_y_0 >= 0 (?,1) && v_x_0 + v_y_0 >= 0 && -1 + v_n + v_y_0 >= 0 && -1 + v_n + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1 + v_n + v_x_0 >= 0 && -1 + v_n >= 0 && -1 + v_m >= v_y_0] 13. eval_speedSimpleMultipleDep_bb2_in(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb1_in(v_m,v_n,1 + v_x_0,0) [v_y_0 >= 0 (?,1) && v_x_0 + v_y_0 >= 0 && -1 + v_n + v_y_0 >= 0 && -1 + v_n + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1 + v_n + v_x_0 >= 0 && -1 + v_n >= 0 && v_y_0 >= v_m] 14. eval_speedSimpleMultipleDep_bb3_in(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_stop(v_m,v_n,v_x_0,v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0] (?,1) Signature: {(eval_speedSimpleMultipleDep_0,4) ;(eval_speedSimpleMultipleDep_1,4) ;(eval_speedSimpleMultipleDep_2,4) ;(eval_speedSimpleMultipleDep_3,4) ;(eval_speedSimpleMultipleDep_4,4) ;(eval_speedSimpleMultipleDep_5,4) ;(eval_speedSimpleMultipleDep_6,4) ;(eval_speedSimpleMultipleDep_7,4) ;(eval_speedSimpleMultipleDep_bb0_in,4) ;(eval_speedSimpleMultipleDep_bb1_in,4) ;(eval_speedSimpleMultipleDep_bb2_in,4) ;(eval_speedSimpleMultipleDep_bb3_in,4) ;(eval_speedSimpleMultipleDep_start,4) ;(eval_speedSimpleMultipleDep_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10,11},10->{12,13},11->{14},12->{10 ,11},13->{10,11},14->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(12,11)] * Step 2: FromIts WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval_speedSimpleMultipleDep_start(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb0_in(v_m,v_n,v_x_0,v_y_0) True (1,1) 1. eval_speedSimpleMultipleDep_bb0_in(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_0(v_m,v_n,v_x_0,v_y_0) True (?,1) 2. eval_speedSimpleMultipleDep_0(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_1(v_m,v_n,v_x_0,v_y_0) True (?,1) 3. eval_speedSimpleMultipleDep_1(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_2(v_m,v_n,v_x_0,v_y_0) True (?,1) 4. eval_speedSimpleMultipleDep_2(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_3(v_m,v_n,v_x_0,v_y_0) True (?,1) 5. eval_speedSimpleMultipleDep_3(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_4(v_m,v_n,v_x_0,v_y_0) True (?,1) 6. eval_speedSimpleMultipleDep_4(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_5(v_m,v_n,v_x_0,v_y_0) True (?,1) 7. eval_speedSimpleMultipleDep_5(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_6(v_m,v_n,v_x_0,v_y_0) True (?,1) 8. eval_speedSimpleMultipleDep_6(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_7(v_m,v_n,v_x_0,v_y_0) True (?,1) 9. eval_speedSimpleMultipleDep_7(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb1_in(v_m,v_n,0,0) True (?,1) 10. eval_speedSimpleMultipleDep_bb1_in(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb2_in(v_m,v_n,v_x_0,v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && -1 + v_n >= v_x_0] (?,1) 11. eval_speedSimpleMultipleDep_bb1_in(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb3_in(v_m,v_n,v_x_0,v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && v_x_0 >= v_n] (?,1) 12. eval_speedSimpleMultipleDep_bb2_in(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb1_in(v_m,v_n,v_x_0,1 + v_y_0) [v_y_0 >= 0 (?,1) && v_x_0 + v_y_0 >= 0 && -1 + v_n + v_y_0 >= 0 && -1 + v_n + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1 + v_n + v_x_0 >= 0 && -1 + v_n >= 0 && -1 + v_m >= v_y_0] 13. eval_speedSimpleMultipleDep_bb2_in(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb1_in(v_m,v_n,1 + v_x_0,0) [v_y_0 >= 0 (?,1) && v_x_0 + v_y_0 >= 0 && -1 + v_n + v_y_0 >= 0 && -1 + v_n + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1 + v_n + v_x_0 >= 0 && -1 + v_n >= 0 && v_y_0 >= v_m] 14. eval_speedSimpleMultipleDep_bb3_in(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_stop(v_m,v_n,v_x_0,v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0] (?,1) Signature: {(eval_speedSimpleMultipleDep_0,4) ;(eval_speedSimpleMultipleDep_1,4) ;(eval_speedSimpleMultipleDep_2,4) ;(eval_speedSimpleMultipleDep_3,4) ;(eval_speedSimpleMultipleDep_4,4) ;(eval_speedSimpleMultipleDep_5,4) ;(eval_speedSimpleMultipleDep_6,4) ;(eval_speedSimpleMultipleDep_7,4) ;(eval_speedSimpleMultipleDep_bb0_in,4) ;(eval_speedSimpleMultipleDep_bb1_in,4) ;(eval_speedSimpleMultipleDep_bb2_in,4) ;(eval_speedSimpleMultipleDep_bb3_in,4) ;(eval_speedSimpleMultipleDep_start,4) ;(eval_speedSimpleMultipleDep_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10,11},10->{12,13},11->{14},12->{10} ,13->{10,11},14->{}] + Applied Processor: FromIts + Details: () * Step 3: Unfold WORST_CASE(?,POLY) + Considered Problem: Rules: eval_speedSimpleMultipleDep_start(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb0_in(v_m,v_n ,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_bb0_in(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_0(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_0(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_1(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_1(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_2(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_2(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_3(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_3(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_4(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_4(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_5(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_5(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_6(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_6(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_7(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_7(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb1_in(v_m,v_n,0 ,0) True eval_speedSimpleMultipleDep_bb1_in(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb2_in(v_m,v_n,v_x_0 ,v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && -1 + v_n >= v_x_0] eval_speedSimpleMultipleDep_bb1_in(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb3_in(v_m,v_n,v_x_0 ,v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && v_x_0 >= v_n] eval_speedSimpleMultipleDep_bb2_in(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb1_in(v_m,v_n,v_x_0 ,1 + v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1 + v_n + v_y_0 >= 0 && -1 + v_n + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1 + v_n + v_x_0 >= 0 && -1 + v_n >= 0 && -1 + v_m >= v_y_0] eval_speedSimpleMultipleDep_bb2_in(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb1_in(v_m,v_n ,1 + v_x_0 ,0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1 + v_n + v_y_0 >= 0 && -1 + v_n + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1 + v_n + v_x_0 >= 0 && -1 + v_n >= 0 && v_y_0 >= v_m] eval_speedSimpleMultipleDep_bb3_in(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_stop(v_m,v_n,v_x_0 ,v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0] Signature: {(eval_speedSimpleMultipleDep_0,4) ;(eval_speedSimpleMultipleDep_1,4) ;(eval_speedSimpleMultipleDep_2,4) ;(eval_speedSimpleMultipleDep_3,4) ;(eval_speedSimpleMultipleDep_4,4) ;(eval_speedSimpleMultipleDep_5,4) ;(eval_speedSimpleMultipleDep_6,4) ;(eval_speedSimpleMultipleDep_7,4) ;(eval_speedSimpleMultipleDep_bb0_in,4) ;(eval_speedSimpleMultipleDep_bb1_in,4) ;(eval_speedSimpleMultipleDep_bb2_in,4) ;(eval_speedSimpleMultipleDep_bb3_in,4) ;(eval_speedSimpleMultipleDep_start,4) ;(eval_speedSimpleMultipleDep_stop,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10,11},10->{12,13},11->{14},12->{10} ,13->{10,11},14->{}] + Applied Processor: Unfold + Details: () * Step 4: AddSinks WORST_CASE(?,POLY) + Considered Problem: Rules: eval_speedSimpleMultipleDep_start.0(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb0_in.1(v_m ,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_bb0_in.1(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_0.2(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_0.2(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_1.3(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_1.3(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_2.4(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_2.4(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_3.5(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_3.5(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_4.6(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_4.6(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_5.7(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_5.7(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_6.8(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_6.8(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_7.9(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_7.9(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb1_in.10(v_m,v_n ,0 ,0) True eval_speedSimpleMultipleDep_7.9(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb1_in.11(v_m,v_n ,0 ,0) True eval_speedSimpleMultipleDep_bb1_in.10(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb2_in.12(v_m,v_n ,v_x_0 ,v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && -1 + v_n >= v_x_0] eval_speedSimpleMultipleDep_bb1_in.10(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb2_in.13(v_m,v_n ,v_x_0 ,v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && -1 + v_n >= v_x_0] eval_speedSimpleMultipleDep_bb1_in.11(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb3_in.14(v_m,v_n ,v_x_0 ,v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && v_x_0 >= v_n] eval_speedSimpleMultipleDep_bb2_in.12(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb1_in.10(v_m,v_n ,v_x_0 ,1 + v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1 + v_n + v_y_0 >= 0 && -1 + v_n + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1 + v_n + v_x_0 >= 0 && -1 + v_n >= 0 && -1 + v_m >= v_y_0] eval_speedSimpleMultipleDep_bb2_in.13(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb1_in.10(v_m,v_n ,1 + v_x_0 ,0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1 + v_n + v_y_0 >= 0 && -1 + v_n + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1 + v_n + v_x_0 >= 0 && -1 + v_n >= 0 && v_y_0 >= v_m] eval_speedSimpleMultipleDep_bb2_in.13(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb1_in.11(v_m,v_n ,1 + v_x_0 ,0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1 + v_n + v_y_0 >= 0 && -1 + v_n + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1 + v_n + v_x_0 >= 0 && -1 + v_n >= 0 && v_y_0 >= v_m] eval_speedSimpleMultipleDep_bb3_in.14(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_stop.15(v_m,v_n ,v_x_0 ,v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0] Signature: {(eval_speedSimpleMultipleDep_0.2,4) ;(eval_speedSimpleMultipleDep_1.3,4) ;(eval_speedSimpleMultipleDep_2.4,4) ;(eval_speedSimpleMultipleDep_3.5,4) ;(eval_speedSimpleMultipleDep_4.6,4) ;(eval_speedSimpleMultipleDep_5.7,4) ;(eval_speedSimpleMultipleDep_6.8,4) ;(eval_speedSimpleMultipleDep_7.9,4) ;(eval_speedSimpleMultipleDep_bb0_in.1,4) ;(eval_speedSimpleMultipleDep_bb1_in.10,4) ;(eval_speedSimpleMultipleDep_bb1_in.11,4) ;(eval_speedSimpleMultipleDep_bb2_in.12,4) ;(eval_speedSimpleMultipleDep_bb2_in.13,4) ;(eval_speedSimpleMultipleDep_bb3_in.14,4) ;(eval_speedSimpleMultipleDep_start.0,4) ;(eval_speedSimpleMultipleDep_stop.15,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11,12},10->{13},11->{14},12->{15 ,16},13->{17},14->{11,12},15->{11,12},16->{13},17->{}] + Applied Processor: AddSinks + Details: () * Step 5: Decompose WORST_CASE(?,POLY) + Considered Problem: Rules: eval_speedSimpleMultipleDep_start.0(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb0_in.1(v_m ,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_bb0_in.1(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_0.2(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_0.2(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_1.3(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_1.3(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_2.4(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_2.4(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_3.5(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_3.5(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_4.6(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_4.6(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_5.7(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_5.7(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_6.8(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_6.8(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_7.9(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_7.9(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb1_in.10(v_m,v_n ,0 ,0) True eval_speedSimpleMultipleDep_7.9(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb1_in.11(v_m,v_n ,0 ,0) True eval_speedSimpleMultipleDep_bb1_in.10(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb2_in.12(v_m,v_n ,v_x_0 ,v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && -1 + v_n >= v_x_0] eval_speedSimpleMultipleDep_bb1_in.10(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb2_in.13(v_m,v_n ,v_x_0 ,v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && -1 + v_n >= v_x_0] eval_speedSimpleMultipleDep_bb1_in.11(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb3_in.14(v_m,v_n ,v_x_0 ,v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && v_x_0 >= v_n] eval_speedSimpleMultipleDep_bb2_in.12(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb1_in.10(v_m,v_n ,v_x_0 ,1 + v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1 + v_n + v_y_0 >= 0 && -1 + v_n + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1 + v_n + v_x_0 >= 0 && -1 + v_n >= 0 && -1 + v_m >= v_y_0] eval_speedSimpleMultipleDep_bb2_in.13(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb1_in.10(v_m,v_n ,1 + v_x_0 ,0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1 + v_n + v_y_0 >= 0 && -1 + v_n + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1 + v_n + v_x_0 >= 0 && -1 + v_n >= 0 && v_y_0 >= v_m] eval_speedSimpleMultipleDep_bb2_in.13(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb1_in.11(v_m,v_n ,1 + v_x_0 ,0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1 + v_n + v_y_0 >= 0 && -1 + v_n + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1 + v_n + v_x_0 >= 0 && -1 + v_n >= 0 && v_y_0 >= v_m] eval_speedSimpleMultipleDep_bb3_in.14(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_stop.15(v_m,v_n ,v_x_0 ,v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0] eval_speedSimpleMultipleDep_stop.15(v_m,v_n,v_x_0,v_y_0) -> exitus616(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_stop.15(v_m,v_n,v_x_0,v_y_0) -> exitus616(v_m,v_n,v_x_0 ,v_y_0) True Signature: {(eval_speedSimpleMultipleDep_0.2,4) ;(eval_speedSimpleMultipleDep_1.3,4) ;(eval_speedSimpleMultipleDep_2.4,4) ;(eval_speedSimpleMultipleDep_3.5,4) ;(eval_speedSimpleMultipleDep_4.6,4) ;(eval_speedSimpleMultipleDep_5.7,4) ;(eval_speedSimpleMultipleDep_6.8,4) ;(eval_speedSimpleMultipleDep_7.9,4) ;(eval_speedSimpleMultipleDep_bb0_in.1,4) ;(eval_speedSimpleMultipleDep_bb1_in.10,4) ;(eval_speedSimpleMultipleDep_bb1_in.11,4) ;(eval_speedSimpleMultipleDep_bb2_in.12,4) ;(eval_speedSimpleMultipleDep_bb2_in.13,4) ;(eval_speedSimpleMultipleDep_bb3_in.14,4) ;(eval_speedSimpleMultipleDep_start.0,4) ;(eval_speedSimpleMultipleDep_stop.15,4) ;(exitus616,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11,12},10->{13},11->{14},12->{15 ,16},13->{17},14->{11,12},15->{11,12},16->{13},17->{18,19}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19] | `- p:[11,14,15,12] c: [12,15] | `- p:[11,14] c: [11,14] * Step 6: AbstractSize WORST_CASE(?,POLY) + Considered Problem: (Rules: eval_speedSimpleMultipleDep_start.0(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb0_in.1(v_m ,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_bb0_in.1(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_0.2(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_0.2(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_1.3(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_1.3(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_2.4(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_2.4(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_3.5(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_3.5(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_4.6(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_4.6(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_5.7(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_5.7(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_6.8(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_6.8(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_7.9(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_7.9(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb1_in.10(v_m,v_n ,0 ,0) True eval_speedSimpleMultipleDep_7.9(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb1_in.11(v_m,v_n ,0 ,0) True eval_speedSimpleMultipleDep_bb1_in.10(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb2_in.12(v_m,v_n ,v_x_0 ,v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && -1 + v_n >= v_x_0] eval_speedSimpleMultipleDep_bb1_in.10(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb2_in.13(v_m,v_n ,v_x_0 ,v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && -1 + v_n >= v_x_0] eval_speedSimpleMultipleDep_bb1_in.11(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb3_in.14(v_m,v_n ,v_x_0 ,v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && v_x_0 >= v_n] eval_speedSimpleMultipleDep_bb2_in.12(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb1_in.10(v_m,v_n ,v_x_0 ,1 + v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1 + v_n + v_y_0 >= 0 && -1 + v_n + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1 + v_n + v_x_0 >= 0 && -1 + v_n >= 0 && -1 + v_m >= v_y_0] eval_speedSimpleMultipleDep_bb2_in.13(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb1_in.10(v_m,v_n ,1 + v_x_0 ,0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1 + v_n + v_y_0 >= 0 && -1 + v_n + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1 + v_n + v_x_0 >= 0 && -1 + v_n >= 0 && v_y_0 >= v_m] eval_speedSimpleMultipleDep_bb2_in.13(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_bb1_in.11(v_m,v_n ,1 + v_x_0 ,0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1 + v_n + v_y_0 >= 0 && -1 + v_n + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1 + v_n + v_x_0 >= 0 && -1 + v_n >= 0 && v_y_0 >= v_m] eval_speedSimpleMultipleDep_bb3_in.14(v_m,v_n,v_x_0,v_y_0) -> eval_speedSimpleMultipleDep_stop.15(v_m,v_n ,v_x_0 ,v_y_0) [v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0] eval_speedSimpleMultipleDep_stop.15(v_m,v_n,v_x_0,v_y_0) -> exitus616(v_m,v_n,v_x_0 ,v_y_0) True eval_speedSimpleMultipleDep_stop.15(v_m,v_n,v_x_0,v_y_0) -> exitus616(v_m,v_n,v_x_0 ,v_y_0) True Signature: {(eval_speedSimpleMultipleDep_0.2,4) ;(eval_speedSimpleMultipleDep_1.3,4) ;(eval_speedSimpleMultipleDep_2.4,4) ;(eval_speedSimpleMultipleDep_3.5,4) ;(eval_speedSimpleMultipleDep_4.6,4) ;(eval_speedSimpleMultipleDep_5.7,4) ;(eval_speedSimpleMultipleDep_6.8,4) ;(eval_speedSimpleMultipleDep_7.9,4) ;(eval_speedSimpleMultipleDep_bb0_in.1,4) ;(eval_speedSimpleMultipleDep_bb1_in.10,4) ;(eval_speedSimpleMultipleDep_bb1_in.11,4) ;(eval_speedSimpleMultipleDep_bb2_in.12,4) ;(eval_speedSimpleMultipleDep_bb2_in.13,4) ;(eval_speedSimpleMultipleDep_bb3_in.14,4) ;(eval_speedSimpleMultipleDep_start.0,4) ;(eval_speedSimpleMultipleDep_stop.15,4) ;(exitus616,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11,12},10->{13},11->{14},12->{15 ,16},13->{17},14->{11,12},15->{11,12},16->{13},17->{18,19}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19] | `- p:[11,14,15,12] c: [12,15] | `- p:[11,14] c: [11,14]) + Applied Processor: AbstractSize Minimize + Details: () * Step 7: AbstractFlow WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [v_m,v_n,v_x_0,v_y_0,0.0,0.0.0] eval_speedSimpleMultipleDep_start.0 ~> eval_speedSimpleMultipleDep_bb0_in.1 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_bb0_in.1 ~> eval_speedSimpleMultipleDep_0.2 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_0.2 ~> eval_speedSimpleMultipleDep_1.3 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_1.3 ~> eval_speedSimpleMultipleDep_2.4 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_2.4 ~> eval_speedSimpleMultipleDep_3.5 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_3.5 ~> eval_speedSimpleMultipleDep_4.6 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_4.6 ~> eval_speedSimpleMultipleDep_5.7 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_5.7 ~> eval_speedSimpleMultipleDep_6.8 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_6.8 ~> eval_speedSimpleMultipleDep_7.9 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_7.9 ~> eval_speedSimpleMultipleDep_bb1_in.10 [v_m <= v_m, v_n <= v_n, v_x_0 <= 0*K, v_y_0 <= 0*K] eval_speedSimpleMultipleDep_7.9 ~> eval_speedSimpleMultipleDep_bb1_in.11 [v_m <= v_m, v_n <= v_n, v_x_0 <= 0*K, v_y_0 <= 0*K] eval_speedSimpleMultipleDep_bb1_in.10 ~> eval_speedSimpleMultipleDep_bb2_in.12 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_bb1_in.10 ~> eval_speedSimpleMultipleDep_bb2_in.13 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_bb1_in.11 ~> eval_speedSimpleMultipleDep_bb3_in.14 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_bb2_in.12 ~> eval_speedSimpleMultipleDep_bb1_in.10 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_m] eval_speedSimpleMultipleDep_bb2_in.13 ~> eval_speedSimpleMultipleDep_bb1_in.10 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_n, v_y_0 <= 0*K] eval_speedSimpleMultipleDep_bb2_in.13 ~> eval_speedSimpleMultipleDep_bb1_in.11 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_n, v_y_0 <= 0*K] eval_speedSimpleMultipleDep_bb3_in.14 ~> eval_speedSimpleMultipleDep_stop.15 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_stop.15 ~> exitus616 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_stop.15 ~> exitus616 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] + Loop: [0.0 <= v_n + v_x_0] eval_speedSimpleMultipleDep_bb1_in.10 ~> eval_speedSimpleMultipleDep_bb2_in.12 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_bb2_in.12 ~> eval_speedSimpleMultipleDep_bb1_in.10 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_m] eval_speedSimpleMultipleDep_bb2_in.13 ~> eval_speedSimpleMultipleDep_bb1_in.10 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_n, v_y_0 <= 0*K] eval_speedSimpleMultipleDep_bb1_in.10 ~> eval_speedSimpleMultipleDep_bb2_in.13 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] + Loop: [0.0.0 <= v_m + v_y_0] eval_speedSimpleMultipleDep_bb1_in.10 ~> eval_speedSimpleMultipleDep_bb2_in.12 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_bb2_in.12 ~> eval_speedSimpleMultipleDep_bb1_in.10 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_m] + Applied Processor: AbstractFlow + Details: () * Step 8: Lare WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [tick,huge,K,v_m,v_n,v_x_0,v_y_0,0.0,0.0.0] eval_speedSimpleMultipleDep_start.0 ~> eval_speedSimpleMultipleDep_bb0_in.1 [] eval_speedSimpleMultipleDep_bb0_in.1 ~> eval_speedSimpleMultipleDep_0.2 [] eval_speedSimpleMultipleDep_0.2 ~> eval_speedSimpleMultipleDep_1.3 [] eval_speedSimpleMultipleDep_1.3 ~> eval_speedSimpleMultipleDep_2.4 [] eval_speedSimpleMultipleDep_2.4 ~> eval_speedSimpleMultipleDep_3.5 [] eval_speedSimpleMultipleDep_3.5 ~> eval_speedSimpleMultipleDep_4.6 [] eval_speedSimpleMultipleDep_4.6 ~> eval_speedSimpleMultipleDep_5.7 [] eval_speedSimpleMultipleDep_5.7 ~> eval_speedSimpleMultipleDep_6.8 [] eval_speedSimpleMultipleDep_6.8 ~> eval_speedSimpleMultipleDep_7.9 [] eval_speedSimpleMultipleDep_7.9 ~> eval_speedSimpleMultipleDep_bb1_in.10 [K ~=> v_x_0 ,K ~=> v_y_0] eval_speedSimpleMultipleDep_7.9 ~> eval_speedSimpleMultipleDep_bb1_in.11 [K ~=> v_x_0 ,K ~=> v_y_0] eval_speedSimpleMultipleDep_bb1_in.10 ~> eval_speedSimpleMultipleDep_bb2_in.12 [] eval_speedSimpleMultipleDep_bb1_in.10 ~> eval_speedSimpleMultipleDep_bb2_in.13 [] eval_speedSimpleMultipleDep_bb1_in.11 ~> eval_speedSimpleMultipleDep_bb3_in.14 [] eval_speedSimpleMultipleDep_bb2_in.12 ~> eval_speedSimpleMultipleDep_bb1_in.10 [v_m ~=> v_y_0] eval_speedSimpleMultipleDep_bb2_in.13 ~> eval_speedSimpleMultipleDep_bb1_in.10 [v_n ~=> v_x_0 ,K ~=> v_y_0] eval_speedSimpleMultipleDep_bb2_in.13 ~> eval_speedSimpleMultipleDep_bb1_in.11 [v_n ~=> v_x_0 ,K ~=> v_y_0] eval_speedSimpleMultipleDep_bb3_in.14 ~> eval_speedSimpleMultipleDep_stop.15 [] eval_speedSimpleMultipleDep_stop.15 ~> exitus616 [] eval_speedSimpleMultipleDep_stop.15 ~> exitus616 [] + Loop: [v_n ~+> 0.0,v_x_0 ~+> 0.0] eval_speedSimpleMultipleDep_bb1_in.10 ~> eval_speedSimpleMultipleDep_bb2_in.12 [] eval_speedSimpleMultipleDep_bb2_in.12 ~> eval_speedSimpleMultipleDep_bb1_in.10 [v_m ~=> v_y_0] eval_speedSimpleMultipleDep_bb2_in.13 ~> eval_speedSimpleMultipleDep_bb1_in.10 [v_n ~=> v_x_0 ,K ~=> v_y_0] eval_speedSimpleMultipleDep_bb1_in.10 ~> eval_speedSimpleMultipleDep_bb2_in.13 [] + Loop: [v_m ~+> 0.0.0,v_y_0 ~+> 0.0.0] eval_speedSimpleMultipleDep_bb1_in.10 ~> eval_speedSimpleMultipleDep_bb2_in.12 [] eval_speedSimpleMultipleDep_bb2_in.12 ~> eval_speedSimpleMultipleDep_bb1_in.10 [v_m ~=> v_y_0] + Applied Processor: Lare + Details: eval_speedSimpleMultipleDep_start.0 ~> exitus616 [v_n ~=> v_x_0 ,K ~=> v_x_0 ,K ~=> v_y_0 ,v_m ~+> 0.0.0 ,v_m ~+> tick ,v_n ~+> 0.0 ,v_n ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> 0.0.0 ,K ~+> tick ,v_m ~*> 0.0.0 ,v_m ~*> tick ,v_n ~*> tick ,K ~*> tick] + eval_speedSimpleMultipleDep_bb2_in.13> [v_m ~=> v_y_0 ,v_n ~=> v_x_0 ,K ~=> v_y_0 ,v_m ~+> 0.0.0 ,v_m ~+> tick ,v_n ~+> 0.0 ,v_n ~+> tick ,v_x_0 ~+> 0.0 ,v_x_0 ~+> tick ,v_y_0 ~+> 0.0.0 ,v_y_0 ~+> tick ,tick ~+> tick ,K ~+> 0.0.0 ,K ~+> tick ,v_m ~*> 0.0.0 ,v_m ~*> tick ,v_n ~*> tick ,v_x_0 ~*> tick ,v_y_0 ~*> tick ,K ~*> tick] + eval_speedSimpleMultipleDep_bb1_in.10> [v_m ~=> v_y_0 ,v_m ~+> 0.0.0 ,v_m ~+> tick ,v_y_0 ~+> 0.0.0 ,v_y_0 ~+> tick ,tick ~+> tick] YES(?,POLY)