YES(?,POLY) * Step 1: TrivialSCCs 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: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: 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 (1,1) 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 (1,1) 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 (1,1) 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 (1,1) 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 (1,1) 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 (1,1) 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 (1,1) 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 (1,1) 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 (1,1) 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] (1,1) 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] (1,1) 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 3: AddSinks 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 (1,1) 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 (1,1) 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 (1,1) 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 (1,1) 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 (1,1) 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 (1,1) 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 (1,1) 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 (1,1) 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 (1,1) 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] (1,1) 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] (1,1) 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: AddSinks + Details: () * Step 4: 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) 15. eval_speedSimpleMultipleDep_bb3_in(v_m,v_n,v_x_0,v_y_0) -> exitus616(v_m,v_n,v_x_0,v_y_0) True (?,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) ;(exitus616,4)} 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->{14,15},12->{10 ,11},13->{10,11},14->{},15->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(12,11)] * Step 5: LooptreeTransformer 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) 15. eval_speedSimpleMultipleDep_bb3_in(v_m,v_n,v_x_0,v_y_0) -> exitus616(v_m,v_n,v_x_0,v_y_0) True (?,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) ;(exitus616,4)} 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->{14,15} ,12->{10},13->{10,11},14->{},15->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15] | `- p:[10,12,13] c: [13] | `- p:[10,12] c: [12] * Step 6: SizeAbstraction 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) 15. eval_speedSimpleMultipleDep_bb3_in(v_m,v_n,v_x_0,v_y_0) -> exitus616(v_m,v_n,v_x_0,v_y_0) True (?,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) ;(exitus616,4)} 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->{14,15} ,12->{10},13->{10,11},14->{},15->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15] | `- p:[10,12,13] c: [13] | `- p:[10,12] c: [12]) + Applied Processor: SizeAbstraction UseCFG Minimize + Details: () * Step 7: FlowAbstraction 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 ~> eval_speedSimpleMultipleDep_bb0_in [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_bb0_in ~> eval_speedSimpleMultipleDep_0 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_0 ~> eval_speedSimpleMultipleDep_1 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_1 ~> eval_speedSimpleMultipleDep_2 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_2 ~> eval_speedSimpleMultipleDep_3 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_3 ~> eval_speedSimpleMultipleDep_4 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_4 ~> eval_speedSimpleMultipleDep_5 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_5 ~> eval_speedSimpleMultipleDep_6 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_6 ~> eval_speedSimpleMultipleDep_7 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_7 ~> eval_speedSimpleMultipleDep_bb1_in [v_m <= v_m, v_n <= v_n, v_x_0 <= 0*K, v_y_0 <= 0*K] eval_speedSimpleMultipleDep_bb1_in ~> eval_speedSimpleMultipleDep_bb2_in [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_bb1_in ~> eval_speedSimpleMultipleDep_bb3_in [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_bb2_in ~> eval_speedSimpleMultipleDep_bb1_in [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_m] eval_speedSimpleMultipleDep_bb2_in ~> eval_speedSimpleMultipleDep_bb1_in [v_m <= v_m, v_n <= v_n, v_x_0 <= v_n, v_y_0 <= 0*K] eval_speedSimpleMultipleDep_bb3_in ~> eval_speedSimpleMultipleDep_stop [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_bb3_in ~> 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 ~> eval_speedSimpleMultipleDep_bb2_in [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_bb2_in ~> eval_speedSimpleMultipleDep_bb1_in [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_m] eval_speedSimpleMultipleDep_bb2_in ~> eval_speedSimpleMultipleDep_bb1_in [v_m <= v_m, v_n <= v_n, v_x_0 <= v_n, v_y_0 <= 0*K] + Loop: [0.0.0 <= v_m + v_y_0] eval_speedSimpleMultipleDep_bb1_in ~> eval_speedSimpleMultipleDep_bb2_in [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSimpleMultipleDep_bb2_in ~> eval_speedSimpleMultipleDep_bb1_in [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_m] + Applied Processor: FlowAbstraction + Details: () * Step 8: LareProcessor 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 ~> eval_speedSimpleMultipleDep_bb0_in [] eval_speedSimpleMultipleDep_bb0_in ~> eval_speedSimpleMultipleDep_0 [] eval_speedSimpleMultipleDep_0 ~> eval_speedSimpleMultipleDep_1 [] eval_speedSimpleMultipleDep_1 ~> eval_speedSimpleMultipleDep_2 [] eval_speedSimpleMultipleDep_2 ~> eval_speedSimpleMultipleDep_3 [] eval_speedSimpleMultipleDep_3 ~> eval_speedSimpleMultipleDep_4 [] eval_speedSimpleMultipleDep_4 ~> eval_speedSimpleMultipleDep_5 [] eval_speedSimpleMultipleDep_5 ~> eval_speedSimpleMultipleDep_6 [] eval_speedSimpleMultipleDep_6 ~> eval_speedSimpleMultipleDep_7 [] eval_speedSimpleMultipleDep_7 ~> eval_speedSimpleMultipleDep_bb1_in [K ~=> v_x_0,K ~=> v_y_0] eval_speedSimpleMultipleDep_bb1_in ~> eval_speedSimpleMultipleDep_bb2_in [] eval_speedSimpleMultipleDep_bb1_in ~> eval_speedSimpleMultipleDep_bb3_in [] eval_speedSimpleMultipleDep_bb2_in ~> eval_speedSimpleMultipleDep_bb1_in [v_m ~=> v_y_0] eval_speedSimpleMultipleDep_bb2_in ~> eval_speedSimpleMultipleDep_bb1_in [v_n ~=> v_x_0,K ~=> v_y_0] eval_speedSimpleMultipleDep_bb3_in ~> eval_speedSimpleMultipleDep_stop [] eval_speedSimpleMultipleDep_bb3_in ~> exitus616 [] + Loop: [v_n ~+> 0.0,v_x_0 ~+> 0.0] eval_speedSimpleMultipleDep_bb1_in ~> eval_speedSimpleMultipleDep_bb2_in [] eval_speedSimpleMultipleDep_bb2_in ~> eval_speedSimpleMultipleDep_bb1_in [v_m ~=> v_y_0] eval_speedSimpleMultipleDep_bb2_in ~> eval_speedSimpleMultipleDep_bb1_in [v_n ~=> v_x_0,K ~=> v_y_0] + Loop: [v_m ~+> 0.0.0,v_y_0 ~+> 0.0.0] eval_speedSimpleMultipleDep_bb1_in ~> eval_speedSimpleMultipleDep_bb2_in [] eval_speedSimpleMultipleDep_bb2_in ~> eval_speedSimpleMultipleDep_bb1_in [v_m ~=> v_y_0] + Applied Processor: LareProcessor + Details: eval_speedSimpleMultipleDep_start ~> exitus616 [v_m ~=> v_y_0 ,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_start ~> eval_speedSimpleMultipleDep_stop [v_m ~=> v_y_0 ,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_bb1_in> [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] + eval_speedSimpleMultipleDep_bb2_in> [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] eval_speedSimpleMultipleDep_bb1_in> [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)