YES(?,POLY) * Step 1: UnsatPaths WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval_speedpldi3_start(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb0_in(v_i_0,v_j_0,v_m,v_n) True (1,1) 1. eval_speedpldi3_bb0_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_0(v_i_0,v_j_0,v_m,v_n) True (?,1) 2. eval_speedpldi3_0(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_1(v_i_0,v_j_0,v_m,v_n) True (?,1) 3. eval_speedpldi3_1(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_2(v_i_0,v_j_0,v_m,v_n) True (?,1) 4. eval_speedpldi3_2(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb3_in(v_i_0,v_j_0,v_m,v_n) [0 >= v_m] (?,1) 5. eval_speedpldi3_2(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb3_in(v_i_0,v_j_0,v_m,v_n) [v_m >= v_n] (?,1) 6. eval_speedpldi3_2(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb1_in(0,0,v_m,v_n) [-1 + v_m >= 0 && -1 + v_n >= v_m] (?,1) 7. eval_speedpldi3_bb1_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb2_in(v_i_0,v_j_0,v_m,v_n) [-2 + v_n >= 0 (?,1) && -3 + v_m + v_n >= 0 && -1 + -1*v_m + v_n >= 0 && -2 + v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_j_0 + v_m >= 0 && -1 + v_i_0 + v_m >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && -1 + v_n >= v_i_0] 8. eval_speedpldi3_bb1_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb3_in(v_i_0,v_j_0,v_m,v_n) [-2 + v_n >= 0 (?,1) && -3 + v_m + v_n >= 0 && -1 + -1*v_m + v_n >= 0 && -2 + v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_j_0 + v_m >= 0 && -1 + v_i_0 + v_m >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && v_i_0 >= v_n] 9. eval_speedpldi3_bb2_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb1_in(v_i_0,1 + v_j_0,v_m,v_n) [-2 + v_n >= 0 (?,1) && -3 + v_m + v_n >= 0 && -1 + -1*v_m + v_n >= 0 && -2 + v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1 + -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_j_0 + v_m >= 0 && -1 + v_i_0 + v_m >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && -1 + v_m >= v_j_0] 10. eval_speedpldi3_bb2_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb1_in(1 + v_i_0,0,v_m,v_n) [-2 + v_n >= 0 (?,1) && -3 + v_m + v_n >= 0 && -1 + -1*v_m + v_n >= 0 && -2 + v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1 + -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_j_0 + v_m >= 0 && -1 + v_i_0 + v_m >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && v_j_0 >= v_m] 11. eval_speedpldi3_bb3_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_stop(v_i_0,v_j_0,v_m,v_n) True (?,1) Signature: {(eval_speedpldi3_0,4) ;(eval_speedpldi3_1,4) ;(eval_speedpldi3_2,4) ;(eval_speedpldi3_bb0_in,4) ;(eval_speedpldi3_bb1_in,4) ;(eval_speedpldi3_bb2_in,4) ;(eval_speedpldi3_bb3_in,4) ;(eval_speedpldi3_start,4) ;(eval_speedpldi3_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4,5,6},4->{11},5->{11},6->{7,8},7->{9,10},8->{11},9->{7,8},10->{7,8},11->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(6,8),(9,8)] * Step 2: FromIts WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval_speedpldi3_start(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb0_in(v_i_0,v_j_0,v_m,v_n) True (1,1) 1. eval_speedpldi3_bb0_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_0(v_i_0,v_j_0,v_m,v_n) True (?,1) 2. eval_speedpldi3_0(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_1(v_i_0,v_j_0,v_m,v_n) True (?,1) 3. eval_speedpldi3_1(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_2(v_i_0,v_j_0,v_m,v_n) True (?,1) 4. eval_speedpldi3_2(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb3_in(v_i_0,v_j_0,v_m,v_n) [0 >= v_m] (?,1) 5. eval_speedpldi3_2(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb3_in(v_i_0,v_j_0,v_m,v_n) [v_m >= v_n] (?,1) 6. eval_speedpldi3_2(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb1_in(0,0,v_m,v_n) [-1 + v_m >= 0 && -1 + v_n >= v_m] (?,1) 7. eval_speedpldi3_bb1_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb2_in(v_i_0,v_j_0,v_m,v_n) [-2 + v_n >= 0 (?,1) && -3 + v_m + v_n >= 0 && -1 + -1*v_m + v_n >= 0 && -2 + v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_j_0 + v_m >= 0 && -1 + v_i_0 + v_m >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && -1 + v_n >= v_i_0] 8. eval_speedpldi3_bb1_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb3_in(v_i_0,v_j_0,v_m,v_n) [-2 + v_n >= 0 (?,1) && -3 + v_m + v_n >= 0 && -1 + -1*v_m + v_n >= 0 && -2 + v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_j_0 + v_m >= 0 && -1 + v_i_0 + v_m >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && v_i_0 >= v_n] 9. eval_speedpldi3_bb2_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb1_in(v_i_0,1 + v_j_0,v_m,v_n) [-2 + v_n >= 0 (?,1) && -3 + v_m + v_n >= 0 && -1 + -1*v_m + v_n >= 0 && -2 + v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1 + -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_j_0 + v_m >= 0 && -1 + v_i_0 + v_m >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && -1 + v_m >= v_j_0] 10. eval_speedpldi3_bb2_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb1_in(1 + v_i_0,0,v_m,v_n) [-2 + v_n >= 0 (?,1) && -3 + v_m + v_n >= 0 && -1 + -1*v_m + v_n >= 0 && -2 + v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1 + -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_j_0 + v_m >= 0 && -1 + v_i_0 + v_m >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && v_j_0 >= v_m] 11. eval_speedpldi3_bb3_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_stop(v_i_0,v_j_0,v_m,v_n) True (?,1) Signature: {(eval_speedpldi3_0,4) ;(eval_speedpldi3_1,4) ;(eval_speedpldi3_2,4) ;(eval_speedpldi3_bb0_in,4) ;(eval_speedpldi3_bb1_in,4) ;(eval_speedpldi3_bb2_in,4) ;(eval_speedpldi3_bb3_in,4) ;(eval_speedpldi3_start,4) ;(eval_speedpldi3_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4,5,6},4->{11},5->{11},6->{7},7->{9,10},8->{11},9->{7},10->{7,8},11->{}] + Applied Processor: FromIts + Details: () * Step 3: AddSinks WORST_CASE(?,POLY) + Considered Problem: Rules: eval_speedpldi3_start(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb0_in(v_i_0,v_j_0,v_m,v_n) True eval_speedpldi3_bb0_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_0(v_i_0,v_j_0,v_m,v_n) True eval_speedpldi3_0(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_1(v_i_0,v_j_0,v_m,v_n) True eval_speedpldi3_1(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_2(v_i_0,v_j_0,v_m,v_n) True eval_speedpldi3_2(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb3_in(v_i_0,v_j_0,v_m,v_n) [0 >= v_m] eval_speedpldi3_2(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb3_in(v_i_0,v_j_0,v_m,v_n) [v_m >= v_n] eval_speedpldi3_2(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb1_in(0,0,v_m,v_n) [-1 + v_m >= 0 && -1 + v_n >= v_m] eval_speedpldi3_bb1_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb2_in(v_i_0,v_j_0,v_m,v_n) [-2 + v_n >= 0 && -3 + v_m + v_n >= 0 && -1 + -1*v_m + v_n >= 0 && -2 + v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_j_0 + v_m >= 0 && -1 + v_i_0 + v_m >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && -1 + v_n >= v_i_0] eval_speedpldi3_bb1_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb3_in(v_i_0,v_j_0,v_m,v_n) [-2 + v_n >= 0 && -3 + v_m + v_n >= 0 && -1 + -1*v_m + v_n >= 0 && -2 + v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_j_0 + v_m >= 0 && -1 + v_i_0 + v_m >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && v_i_0 >= v_n] eval_speedpldi3_bb2_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb1_in(v_i_0,1 + v_j_0,v_m,v_n) [-2 + v_n >= 0 && -3 + v_m + v_n >= 0 && -1 + -1*v_m + v_n >= 0 && -2 + v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1 + -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_j_0 + v_m >= 0 && -1 + v_i_0 + v_m >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && -1 + v_m >= v_j_0] eval_speedpldi3_bb2_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb1_in(1 + v_i_0,0,v_m,v_n) [-2 + v_n >= 0 && -3 + v_m + v_n >= 0 && -1 + -1*v_m + v_n >= 0 && -2 + v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1 + -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_j_0 + v_m >= 0 && -1 + v_i_0 + v_m >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && v_j_0 >= v_m] eval_speedpldi3_bb3_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_stop(v_i_0,v_j_0,v_m,v_n) True Signature: {(eval_speedpldi3_0,4) ;(eval_speedpldi3_1,4) ;(eval_speedpldi3_2,4) ;(eval_speedpldi3_bb0_in,4) ;(eval_speedpldi3_bb1_in,4) ;(eval_speedpldi3_bb2_in,4) ;(eval_speedpldi3_bb3_in,4) ;(eval_speedpldi3_start,4) ;(eval_speedpldi3_stop,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4,5,6},4->{11},5->{11},6->{7},7->{9,10},8->{11},9->{7},10->{7,8},11->{}] + Applied Processor: AddSinks + Details: () * Step 4: Decompose WORST_CASE(?,POLY) + Considered Problem: Rules: eval_speedpldi3_start(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb0_in(v_i_0,v_j_0,v_m,v_n) True eval_speedpldi3_bb0_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_0(v_i_0,v_j_0,v_m,v_n) True eval_speedpldi3_0(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_1(v_i_0,v_j_0,v_m,v_n) True eval_speedpldi3_1(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_2(v_i_0,v_j_0,v_m,v_n) True eval_speedpldi3_2(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb3_in(v_i_0,v_j_0,v_m,v_n) [0 >= v_m] eval_speedpldi3_2(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb3_in(v_i_0,v_j_0,v_m,v_n) [v_m >= v_n] eval_speedpldi3_2(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb1_in(0,0,v_m,v_n) [-1 + v_m >= 0 && -1 + v_n >= v_m] eval_speedpldi3_bb1_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb2_in(v_i_0,v_j_0,v_m,v_n) [-2 + v_n >= 0 && -3 + v_m + v_n >= 0 && -1 + -1*v_m + v_n >= 0 && -2 + v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_j_0 + v_m >= 0 && -1 + v_i_0 + v_m >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && -1 + v_n >= v_i_0] eval_speedpldi3_bb1_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb3_in(v_i_0,v_j_0,v_m,v_n) [-2 + v_n >= 0 && -3 + v_m + v_n >= 0 && -1 + -1*v_m + v_n >= 0 && -2 + v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_j_0 + v_m >= 0 && -1 + v_i_0 + v_m >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && v_i_0 >= v_n] eval_speedpldi3_bb2_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb1_in(v_i_0,1 + v_j_0,v_m,v_n) [-2 + v_n >= 0 && -3 + v_m + v_n >= 0 && -1 + -1*v_m + v_n >= 0 && -2 + v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1 + -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_j_0 + v_m >= 0 && -1 + v_i_0 + v_m >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && -1 + v_m >= v_j_0] eval_speedpldi3_bb2_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb1_in(1 + v_i_0,0,v_m,v_n) [-2 + v_n >= 0 && -3 + v_m + v_n >= 0 && -1 + -1*v_m + v_n >= 0 && -2 + v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1 + -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_j_0 + v_m >= 0 && -1 + v_i_0 + v_m >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && v_j_0 >= v_m] eval_speedpldi3_bb3_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_stop(v_i_0,v_j_0,v_m,v_n) True eval_speedpldi3_stop(v_i_0,v_j_0,v_m,v_n) -> exitus616(v_i_0,v_j_0,v_m,v_n) True eval_speedpldi3_stop(v_i_0,v_j_0,v_m,v_n) -> exitus616(v_i_0,v_j_0,v_m,v_n) True eval_speedpldi3_stop(v_i_0,v_j_0,v_m,v_n) -> exitus616(v_i_0,v_j_0,v_m,v_n) True Signature: {(eval_speedpldi3_0,4) ;(eval_speedpldi3_1,4) ;(eval_speedpldi3_2,4) ;(eval_speedpldi3_bb0_in,4) ;(eval_speedpldi3_bb1_in,4) ;(eval_speedpldi3_bb2_in,4) ;(eval_speedpldi3_bb3_in,4) ;(eval_speedpldi3_start,4) ;(eval_speedpldi3_stop,4) ;(exitus616,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4,5,6},4->{11},5->{11},6->{7},7->{9,10},8->{11},9->{7},10->{7,8},11->{12,13,14}] + 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] | `- p:[7,9,10] c: [10] | `- p:[7,9] c: [7,9] * Step 5: AbstractSize WORST_CASE(?,POLY) + Considered Problem: (Rules: eval_speedpldi3_start(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb0_in(v_i_0,v_j_0,v_m,v_n) True eval_speedpldi3_bb0_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_0(v_i_0,v_j_0,v_m,v_n) True eval_speedpldi3_0(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_1(v_i_0,v_j_0,v_m,v_n) True eval_speedpldi3_1(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_2(v_i_0,v_j_0,v_m,v_n) True eval_speedpldi3_2(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb3_in(v_i_0,v_j_0,v_m,v_n) [0 >= v_m] eval_speedpldi3_2(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb3_in(v_i_0,v_j_0,v_m,v_n) [v_m >= v_n] eval_speedpldi3_2(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb1_in(0,0,v_m,v_n) [-1 + v_m >= 0 && -1 + v_n >= v_m] eval_speedpldi3_bb1_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb2_in(v_i_0,v_j_0,v_m,v_n) [-2 + v_n >= 0 && -3 + v_m + v_n >= 0 && -1 + -1*v_m + v_n >= 0 && -2 + v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_j_0 + v_m >= 0 && -1 + v_i_0 + v_m >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && -1 + v_n >= v_i_0] eval_speedpldi3_bb1_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb3_in(v_i_0,v_j_0,v_m,v_n) [-2 + v_n >= 0 && -3 + v_m + v_n >= 0 && -1 + -1*v_m + v_n >= 0 && -2 + v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_j_0 + v_m >= 0 && -1 + v_i_0 + v_m >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && v_i_0 >= v_n] eval_speedpldi3_bb2_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb1_in(v_i_0,1 + v_j_0,v_m,v_n) [-2 + v_n >= 0 && -3 + v_m + v_n >= 0 && -1 + -1*v_m + v_n >= 0 && -2 + v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1 + -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_j_0 + v_m >= 0 && -1 + v_i_0 + v_m >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && -1 + v_m >= v_j_0] eval_speedpldi3_bb2_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_bb1_in(1 + v_i_0,0,v_m,v_n) [-2 + v_n >= 0 && -3 + v_m + v_n >= 0 && -1 + -1*v_m + v_n >= 0 && -2 + v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1 + -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_j_0 + v_m >= 0 && -1 + v_i_0 + v_m >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && v_j_0 >= v_m] eval_speedpldi3_bb3_in(v_i_0,v_j_0,v_m,v_n) -> eval_speedpldi3_stop(v_i_0,v_j_0,v_m,v_n) True eval_speedpldi3_stop(v_i_0,v_j_0,v_m,v_n) -> exitus616(v_i_0,v_j_0,v_m,v_n) True eval_speedpldi3_stop(v_i_0,v_j_0,v_m,v_n) -> exitus616(v_i_0,v_j_0,v_m,v_n) True eval_speedpldi3_stop(v_i_0,v_j_0,v_m,v_n) -> exitus616(v_i_0,v_j_0,v_m,v_n) True Signature: {(eval_speedpldi3_0,4) ;(eval_speedpldi3_1,4) ;(eval_speedpldi3_2,4) ;(eval_speedpldi3_bb0_in,4) ;(eval_speedpldi3_bb1_in,4) ;(eval_speedpldi3_bb2_in,4) ;(eval_speedpldi3_bb3_in,4) ;(eval_speedpldi3_start,4) ;(eval_speedpldi3_stop,4) ;(exitus616,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4,5,6},4->{11},5->{11},6->{7},7->{9,10},8->{11},9->{7},10->{7,8},11->{12,13,14}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14] | `- p:[7,9,10] c: [10] | `- p:[7,9] c: [7,9]) + Applied Processor: AbstractSize Minimize + Details: () * Step 6: AbstractFlow WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [v_i_0,v_j_0,v_m,v_n,0.0,0.0.0] eval_speedpldi3_start ~> eval_speedpldi3_bb0_in [v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_speedpldi3_bb0_in ~> eval_speedpldi3_0 [v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_speedpldi3_0 ~> eval_speedpldi3_1 [v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_speedpldi3_1 ~> eval_speedpldi3_2 [v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_speedpldi3_2 ~> eval_speedpldi3_bb3_in [v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_speedpldi3_2 ~> eval_speedpldi3_bb3_in [v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_speedpldi3_2 ~> eval_speedpldi3_bb1_in [v_i_0 <= 0*K, v_j_0 <= 0*K, v_m <= v_m, v_n <= v_n] eval_speedpldi3_bb1_in ~> eval_speedpldi3_bb2_in [v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_speedpldi3_bb1_in ~> eval_speedpldi3_bb3_in [v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_speedpldi3_bb2_in ~> eval_speedpldi3_bb1_in [v_i_0 <= v_i_0, v_j_0 <= v_n, v_m <= v_m, v_n <= v_n] eval_speedpldi3_bb2_in ~> eval_speedpldi3_bb1_in [v_i_0 <= v_n, v_j_0 <= 0*K, v_m <= v_m, v_n <= v_n] eval_speedpldi3_bb3_in ~> eval_speedpldi3_stop [v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_speedpldi3_stop ~> exitus616 [v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_speedpldi3_stop ~> exitus616 [v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_speedpldi3_stop ~> exitus616 [v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] + Loop: [0.0 <= K + v_i_0 + v_n] eval_speedpldi3_bb1_in ~> eval_speedpldi3_bb2_in [v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_speedpldi3_bb2_in ~> eval_speedpldi3_bb1_in [v_i_0 <= v_i_0, v_j_0 <= v_n, v_m <= v_m, v_n <= v_n] eval_speedpldi3_bb2_in ~> eval_speedpldi3_bb1_in [v_i_0 <= v_n, v_j_0 <= 0*K, v_m <= v_m, v_n <= v_n] + Loop: [0.0.0 <= K + v_j_0 + v_m] eval_speedpldi3_bb1_in ~> eval_speedpldi3_bb2_in [v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_speedpldi3_bb2_in ~> eval_speedpldi3_bb1_in [v_i_0 <= v_i_0, v_j_0 <= v_n, v_m <= v_m, v_n <= v_n] + Applied Processor: AbstractFlow + Details: () * Step 7: Lare WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [tick,huge,K,v_i_0,v_j_0,v_m,v_n,0.0,0.0.0] eval_speedpldi3_start ~> eval_speedpldi3_bb0_in [] eval_speedpldi3_bb0_in ~> eval_speedpldi3_0 [] eval_speedpldi3_0 ~> eval_speedpldi3_1 [] eval_speedpldi3_1 ~> eval_speedpldi3_2 [] eval_speedpldi3_2 ~> eval_speedpldi3_bb3_in [] eval_speedpldi3_2 ~> eval_speedpldi3_bb3_in [] eval_speedpldi3_2 ~> eval_speedpldi3_bb1_in [K ~=> v_i_0,K ~=> v_j_0] eval_speedpldi3_bb1_in ~> eval_speedpldi3_bb2_in [] eval_speedpldi3_bb1_in ~> eval_speedpldi3_bb3_in [] eval_speedpldi3_bb2_in ~> eval_speedpldi3_bb1_in [v_n ~=> v_j_0] eval_speedpldi3_bb2_in ~> eval_speedpldi3_bb1_in [v_n ~=> v_i_0,K ~=> v_j_0] eval_speedpldi3_bb3_in ~> eval_speedpldi3_stop [] eval_speedpldi3_stop ~> exitus616 [] eval_speedpldi3_stop ~> exitus616 [] eval_speedpldi3_stop ~> exitus616 [] + Loop: [v_i_0 ~+> 0.0,v_n ~+> 0.0,K ~+> 0.0] eval_speedpldi3_bb1_in ~> eval_speedpldi3_bb2_in [] eval_speedpldi3_bb2_in ~> eval_speedpldi3_bb1_in [v_n ~=> v_j_0] eval_speedpldi3_bb2_in ~> eval_speedpldi3_bb1_in [v_n ~=> v_i_0,K ~=> v_j_0] + Loop: [v_j_0 ~+> 0.0.0,v_m ~+> 0.0.0,K ~+> 0.0.0] eval_speedpldi3_bb1_in ~> eval_speedpldi3_bb2_in [] eval_speedpldi3_bb2_in ~> eval_speedpldi3_bb1_in [v_n ~=> v_j_0] + Applied Processor: Lare + Details: eval_speedpldi3_start ~> exitus616 [v_n ~=> v_i_0 ,v_n ~=> v_j_0 ,K ~=> v_i_0 ,K ~=> v_j_0 ,v_m ~+> 0.0.0 ,v_m ~+> tick ,v_n ~+> 0.0 ,v_n ~+> 0.0.0 ,v_n ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> 0.0.0 ,K ~+> tick ,v_m ~*> tick ,v_n ~*> tick ,K ~*> 0.0 ,K ~*> 0.0.0 ,K ~*> tick] + eval_speedpldi3_bb1_in> [v_n ~=> v_i_0 ,v_n ~=> v_j_0 ,K ~=> v_j_0 ,v_i_0 ~+> 0.0 ,v_i_0 ~+> tick ,v_j_0 ~+> 0.0.0 ,v_j_0 ~+> tick ,v_m ~+> 0.0.0 ,v_m ~+> tick ,v_n ~+> 0.0 ,v_n ~+> 0.0.0 ,v_n ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> 0.0.0 ,K ~+> tick ,v_i_0 ~*> tick ,v_j_0 ~*> tick ,v_m ~*> tick ,v_n ~*> tick ,K ~*> 0.0.0 ,K ~*> tick] + eval_speedpldi3_bb2_in> [v_n ~=> v_j_0 ,v_j_0 ~+> 0.0.0 ,v_j_0 ~+> tick ,v_m ~+> 0.0.0 ,v_m ~+> tick ,tick ~+> tick ,K ~+> 0.0.0 ,K ~+> tick] eval_speedpldi3_bb1_in> [v_n ~=> v_j_0 ,v_j_0 ~+> 0.0.0 ,v_j_0 ~+> tick ,v_m ~+> 0.0.0 ,v_m ~+> tick ,tick ~+> tick ,K ~+> 0.0.0 ,K ~+> tick] YES(?,POLY)