YES(?,POLY) * Step 1: FromIts WORST_CASE(?,POLY) + Considered Problem: Rules: 0. evalnestedLoopstart(A,B,C,D,E,F,G,H) -> evalnestedLoopentryin(A,B,C,D,E,F,G,H) True (1,1) 1. evalnestedLoopentryin(A,B,C,D,E,F,G,H) -> evalnestedLoopbb9in(A,B,C,0,E,F,G,H) [A >= 0 && B >= 0 && C >= 0] (?,1) 2. evalnestedLoopentryin(A,B,C,D,E,F,G,H) -> evalnestedLoopreturnin(A,B,C,D,E,F,G,H) [0 >= 1 + A] (?,1) 3. evalnestedLoopentryin(A,B,C,D,E,F,G,H) -> evalnestedLoopreturnin(A,B,C,D,E,F,G,H) [0 >= 1 + B] (?,1) 4. evalnestedLoopentryin(A,B,C,D,E,F,G,H) -> evalnestedLoopreturnin(A,B,C,D,E,F,G,H) [0 >= 1 + C] (?,1) 5. evalnestedLoopbb9in(A,B,C,D,E,F,G,H) -> evalnestedLoopbb7in(A,B,C,D,0,D,G,H) [D >= 0 (?,1) && C + D >= 0 && B + D >= 0 && A + D >= 0 && C >= 0 && B + C >= 0 && A + C >= 0 && B >= 0 && A + B >= 0 && A >= 0 && A >= 1 + D] 6. evalnestedLoopbb9in(A,B,C,D,E,F,G,H) -> evalnestedLoopreturnin(A,B,C,D,E,F,G,H) [D >= 0 (?,1) && C + D >= 0 && B + D >= 0 && A + D >= 0 && C >= 0 && B + C >= 0 && A + C >= 0 && B >= 0 && A + B >= 0 && A >= 0 && D >= A] 7. evalnestedLoopbb7in(A,B,C,D,E,F,G,H) -> evalnestedLoopbb4in(A,B,C,D,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && B >= 1 + E] 8. evalnestedLoopbb7in(A,B,C,D,E,F,G,H) -> evalnestedLoopbb8in(A,B,C,D,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && E >= B] 9. evalnestedLoopbb4in(A,B,C,D,E,F,G,H) -> evalnestedLoopbb6in(A,B,C,D,E,F,1 + E,F) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] 10. evalnestedLoopbb6in(A,B,C,D,E,F,G,H) -> evalnestedLoopbb5in(A,B,C,D,E,F,G,H) [H >= 0 (?,1) && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -1 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && C >= 1 + H] 11. evalnestedLoopbb6in(A,B,C,D,E,F,G,H) -> evalnestedLoopbb7in(A,B,C,D,G,H,G,H) [H >= 0 (?,1) && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -1 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && H >= C] 12. evalnestedLoopbb5in(A,B,C,D,E,F,G,H) -> evalnestedLoopbb6in(A,B,C,D,E,F,G,1 + H) [-1 + C + -1*H >= 0 (?,1) && H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && -1 + C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && -1 + C + -1*F >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && -1 + C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && -1 + C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + A + -1*D >= 0 && D >= 0 && -1 + C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && -1 + C >= 0 && -2 + B + C >= 0 && -2 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] 13. evalnestedLoopbb8in(A,B,C,D,E,F,G,H) -> evalnestedLoopbb9in(A,B,C,1 + F,E,F,G,H) [F >= 0 (?,1) && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1*B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0] 14. evalnestedLoopreturnin(A,B,C,D,E,F,G,H) -> evalnestedLoopstop(A,B,C,D,E,F,G,H) True (?,1) Signature: {(evalnestedLoopbb4in,8) ;(evalnestedLoopbb5in,8) ;(evalnestedLoopbb6in,8) ;(evalnestedLoopbb7in,8) ;(evalnestedLoopbb8in,8) ;(evalnestedLoopbb9in,8) ;(evalnestedLoopentryin,8) ;(evalnestedLoopreturnin,8) ;(evalnestedLoopstart,8) ;(evalnestedLoopstop,8)} Flow Graph: [0->{1,2,3,4},1->{5,6},2->{14},3->{14},4->{14},5->{7,8},6->{14},7->{9},8->{13},9->{10,11},10->{12},11->{7 ,8},12->{10,11},13->{5,6},14->{}] + Applied Processor: FromIts + Details: () * Step 2: AddSinks WORST_CASE(?,POLY) + Considered Problem: Rules: evalnestedLoopstart(A,B,C,D,E,F,G,H) -> evalnestedLoopentryin(A,B,C,D,E,F,G,H) True evalnestedLoopentryin(A,B,C,D,E,F,G,H) -> evalnestedLoopbb9in(A,B,C,0,E,F,G,H) [A >= 0 && B >= 0 && C >= 0] evalnestedLoopentryin(A,B,C,D,E,F,G,H) -> evalnestedLoopreturnin(A,B,C,D,E,F,G,H) [0 >= 1 + A] evalnestedLoopentryin(A,B,C,D,E,F,G,H) -> evalnestedLoopreturnin(A,B,C,D,E,F,G,H) [0 >= 1 + B] evalnestedLoopentryin(A,B,C,D,E,F,G,H) -> evalnestedLoopreturnin(A,B,C,D,E,F,G,H) [0 >= 1 + C] evalnestedLoopbb9in(A,B,C,D,E,F,G,H) -> evalnestedLoopbb7in(A,B,C,D,0,D,G,H) [D >= 0 && C + D >= 0 && B + D >= 0 && A + D >= 0 && C >= 0 && B + C >= 0 && A + C >= 0 && B >= 0 && A + B >= 0 && A >= 0 && A >= 1 + D] evalnestedLoopbb9in(A,B,C,D,E,F,G,H) -> evalnestedLoopreturnin(A,B,C,D,E,F,G,H) [D >= 0 && C + D >= 0 && B + D >= 0 && A + D >= 0 && C >= 0 && B + C >= 0 && A + C >= 0 && B >= 0 && A + B >= 0 && A >= 0 && D >= A] evalnestedLoopbb7in(A,B,C,D,E,F,G,H) -> evalnestedLoopbb4in(A,B,C,D,E,F,G,H) [F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && B >= 1 + E] evalnestedLoopbb7in(A,B,C,D,E,F,G,H) -> evalnestedLoopbb8in(A,B,C,D,E,F,G,H) [F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && E >= B] evalnestedLoopbb4in(A,B,C,D,E,F,G,H) -> evalnestedLoopbb6in(A,B,C,D,E,F,1 + E,F) [F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] evalnestedLoopbb6in(A,B,C,D,E,F,G,H) -> evalnestedLoopbb5in(A,B,C,D,E,F,G,H) [H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -1 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && C >= 1 + H] evalnestedLoopbb6in(A,B,C,D,E,F,G,H) -> evalnestedLoopbb7in(A,B,C,D,G,H,G,H) [H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -1 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && H >= C] evalnestedLoopbb5in(A,B,C,D,E,F,G,H) -> evalnestedLoopbb6in(A,B,C,D,E,F,G,1 + H) [-1 + C + -1*H >= 0 && H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && -1 + C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && -1 + C + -1*F >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && -1 + C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && -1 + C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + A + -1*D >= 0 && D >= 0 && -1 + C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && -1 + C >= 0 && -2 + B + C >= 0 && -2 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] evalnestedLoopbb8in(A,B,C,D,E,F,G,H) -> evalnestedLoopbb9in(A,B,C,1 + F,E,F,G,H) [F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1*B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0] evalnestedLoopreturnin(A,B,C,D,E,F,G,H) -> evalnestedLoopstop(A,B,C,D,E,F,G,H) True Signature: {(evalnestedLoopbb4in,8) ;(evalnestedLoopbb5in,8) ;(evalnestedLoopbb6in,8) ;(evalnestedLoopbb7in,8) ;(evalnestedLoopbb8in,8) ;(evalnestedLoopbb9in,8) ;(evalnestedLoopentryin,8) ;(evalnestedLoopreturnin,8) ;(evalnestedLoopstart,8) ;(evalnestedLoopstop,8)} Rule Graph: [0->{1,2,3,4},1->{5,6},2->{14},3->{14},4->{14},5->{7,8},6->{14},7->{9},8->{13},9->{10,11},10->{12},11->{7 ,8},12->{10,11},13->{5,6},14->{}] + Applied Processor: AddSinks + Details: () * Step 3: Unfold WORST_CASE(?,POLY) + Considered Problem: Rules: evalnestedLoopstart(A,B,C,D,E,F,G,H) -> evalnestedLoopentryin(A,B,C,D,E,F,G,H) True evalnestedLoopentryin(A,B,C,D,E,F,G,H) -> evalnestedLoopbb9in(A,B,C,0,E,F,G,H) [A >= 0 && B >= 0 && C >= 0] evalnestedLoopentryin(A,B,C,D,E,F,G,H) -> evalnestedLoopreturnin(A,B,C,D,E,F,G,H) [0 >= 1 + A] evalnestedLoopentryin(A,B,C,D,E,F,G,H) -> evalnestedLoopreturnin(A,B,C,D,E,F,G,H) [0 >= 1 + B] evalnestedLoopentryin(A,B,C,D,E,F,G,H) -> evalnestedLoopreturnin(A,B,C,D,E,F,G,H) [0 >= 1 + C] evalnestedLoopbb9in(A,B,C,D,E,F,G,H) -> evalnestedLoopbb7in(A,B,C,D,0,D,G,H) [D >= 0 && C + D >= 0 && B + D >= 0 && A + D >= 0 && C >= 0 && B + C >= 0 && A + C >= 0 && B >= 0 && A + B >= 0 && A >= 0 && A >= 1 + D] evalnestedLoopbb9in(A,B,C,D,E,F,G,H) -> evalnestedLoopreturnin(A,B,C,D,E,F,G,H) [D >= 0 && C + D >= 0 && B + D >= 0 && A + D >= 0 && C >= 0 && B + C >= 0 && A + C >= 0 && B >= 0 && A + B >= 0 && A >= 0 && D >= A] evalnestedLoopbb7in(A,B,C,D,E,F,G,H) -> evalnestedLoopbb4in(A,B,C,D,E,F,G,H) [F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && B >= 1 + E] evalnestedLoopbb7in(A,B,C,D,E,F,G,H) -> evalnestedLoopbb8in(A,B,C,D,E,F,G,H) [F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && E >= B] evalnestedLoopbb4in(A,B,C,D,E,F,G,H) -> evalnestedLoopbb6in(A,B,C,D,E,F,1 + E,F) [F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] evalnestedLoopbb6in(A,B,C,D,E,F,G,H) -> evalnestedLoopbb5in(A,B,C,D,E,F,G,H) [H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -1 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && C >= 1 + H] evalnestedLoopbb6in(A,B,C,D,E,F,G,H) -> evalnestedLoopbb7in(A,B,C,D,G,H,G,H) [H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -1 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && H >= C] evalnestedLoopbb5in(A,B,C,D,E,F,G,H) -> evalnestedLoopbb6in(A,B,C,D,E,F,G,1 + H) [-1 + C + -1*H >= 0 && H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && -1 + C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && -1 + C + -1*F >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && -1 + C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && -1 + C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + A + -1*D >= 0 && D >= 0 && -1 + C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && -1 + C >= 0 && -2 + B + C >= 0 && -2 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] evalnestedLoopbb8in(A,B,C,D,E,F,G,H) -> evalnestedLoopbb9in(A,B,C,1 + F,E,F,G,H) [F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1*B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0] evalnestedLoopreturnin(A,B,C,D,E,F,G,H) -> evalnestedLoopstop(A,B,C,D,E,F,G,H) True evalnestedLoopstop(A,B,C,D,E,F,G,H) -> exitus616(A,B,C,D,E,F,G,H) True evalnestedLoopstop(A,B,C,D,E,F,G,H) -> exitus616(A,B,C,D,E,F,G,H) True evalnestedLoopstop(A,B,C,D,E,F,G,H) -> exitus616(A,B,C,D,E,F,G,H) True evalnestedLoopstop(A,B,C,D,E,F,G,H) -> exitus616(A,B,C,D,E,F,G,H) True Signature: {(evalnestedLoopbb4in,8) ;(evalnestedLoopbb5in,8) ;(evalnestedLoopbb6in,8) ;(evalnestedLoopbb7in,8) ;(evalnestedLoopbb8in,8) ;(evalnestedLoopbb9in,8) ;(evalnestedLoopentryin,8) ;(evalnestedLoopreturnin,8) ;(evalnestedLoopstart,8) ;(evalnestedLoopstop,8) ;(exitus616,8)} Rule Graph: [0->{1,2,3,4},1->{5,6},2->{14},3->{14},4->{14},5->{7,8},6->{14},7->{9},8->{13},9->{10,11},10->{12},11->{7 ,8},12->{10,11},13->{5,6},14->{15,16,17,18}] + Applied Processor: Unfold + Details: () * Step 4: Decompose WORST_CASE(?,POLY) + Considered Problem: Rules: evalnestedLoopstart.0(A,B,C,D,E,F,G,H) -> evalnestedLoopentryin.1(A,B,C,D,E,F,G,H) True evalnestedLoopstart.0(A,B,C,D,E,F,G,H) -> evalnestedLoopentryin.2(A,B,C,D,E,F,G,H) True evalnestedLoopstart.0(A,B,C,D,E,F,G,H) -> evalnestedLoopentryin.3(A,B,C,D,E,F,G,H) True evalnestedLoopstart.0(A,B,C,D,E,F,G,H) -> evalnestedLoopentryin.4(A,B,C,D,E,F,G,H) True evalnestedLoopentryin.1(A,B,C,D,E,F,G,H) -> evalnestedLoopbb9in.5(A,B,C,0,E,F,G,H) [A >= 0 && B >= 0 && C >= 0] evalnestedLoopentryin.1(A,B,C,D,E,F,G,H) -> evalnestedLoopbb9in.6(A,B,C,0,E,F,G,H) [A >= 0 && B >= 0 && C >= 0] evalnestedLoopentryin.2(A,B,C,D,E,F,G,H) -> evalnestedLoopreturnin.14(A,B,C,D,E,F,G,H) [0 >= 1 + A] evalnestedLoopentryin.3(A,B,C,D,E,F,G,H) -> evalnestedLoopreturnin.14(A,B,C,D,E,F,G,H) [0 >= 1 + B] evalnestedLoopentryin.4(A,B,C,D,E,F,G,H) -> evalnestedLoopreturnin.14(A,B,C,D,E,F,G,H) [0 >= 1 + C] evalnestedLoopbb9in.5(A,B,C,D,E,F,G,H) -> evalnestedLoopbb7in.7(A,B,C,D,0,D,G,H) [D >= 0 && C + D >= 0 && B + D >= 0 && A + D >= 0 && C >= 0 && B + C >= 0 && A + C >= 0 && B >= 0 && A + B >= 0 && A >= 0 && A >= 1 + D] evalnestedLoopbb9in.5(A,B,C,D,E,F,G,H) -> evalnestedLoopbb7in.8(A,B,C,D,0,D,G,H) [D >= 0 && C + D >= 0 && B + D >= 0 && A + D >= 0 && C >= 0 && B + C >= 0 && A + C >= 0 && B >= 0 && A + B >= 0 && A >= 0 && A >= 1 + D] evalnestedLoopbb9in.6(A,B,C,D,E,F,G,H) -> evalnestedLoopreturnin.14(A,B,C,D,E,F,G,H) [D >= 0 && C + D >= 0 && B + D >= 0 && A + D >= 0 && C >= 0 && B + C >= 0 && A + C >= 0 && B >= 0 && A + B >= 0 && A >= 0 && D >= A] evalnestedLoopbb7in.7(A,B,C,D,E,F,G,H) -> evalnestedLoopbb4in.9(A,B,C,D,E,F,G,H) [F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && B >= 1 + E] evalnestedLoopbb7in.8(A,B,C,D,E,F,G,H) -> evalnestedLoopbb8in.13(A,B,C,D,E,F,G,H) [F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && E >= B] evalnestedLoopbb4in.9(A,B,C,D,E,F,G,H) -> evalnestedLoopbb6in.10(A,B,C,D,E,F,1 + E,F) [F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] evalnestedLoopbb4in.9(A,B,C,D,E,F,G,H) -> evalnestedLoopbb6in.11(A,B,C,D,E,F,1 + E,F) [F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] evalnestedLoopbb6in.10(A,B,C,D,E,F,G,H) -> evalnestedLoopbb5in.12(A,B,C,D,E,F,G,H) [H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -1 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && C >= 1 + H] evalnestedLoopbb6in.11(A,B,C,D,E,F,G,H) -> evalnestedLoopbb7in.7(A,B,C,D,G,H,G,H) [H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -1 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && H >= C] evalnestedLoopbb6in.11(A,B,C,D,E,F,G,H) -> evalnestedLoopbb7in.8(A,B,C,D,G,H,G,H) [H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -1 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && H >= C] evalnestedLoopbb5in.12(A,B,C,D,E,F,G,H) -> evalnestedLoopbb6in.10(A,B,C,D,E,F,G,1 + H) [-1 + C + -1*H >= 0 && H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && -1 + C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && -1 + C + -1*F >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && -1 + C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && -1 + C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + A + -1*D >= 0 && D >= 0 && -1 + C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && -1 + C >= 0 && -2 + B + C >= 0 && -2 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] evalnestedLoopbb5in.12(A,B,C,D,E,F,G,H) -> evalnestedLoopbb6in.11(A,B,C,D,E,F,G,1 + H) [-1 + C + -1*H >= 0 && H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && -1 + C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && -1 + C + -1*F >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && -1 + C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && -1 + C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + A + -1*D >= 0 && D >= 0 && -1 + C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && -1 + C >= 0 && -2 + B + C >= 0 && -2 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] evalnestedLoopbb8in.13(A,B,C,D,E,F,G,H) -> evalnestedLoopbb9in.5(A,B,C,1 + F,E,F,G,H) [F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1*B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0] evalnestedLoopbb8in.13(A,B,C,D,E,F,G,H) -> evalnestedLoopbb9in.6(A,B,C,1 + F,E,F,G,H) [F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1*B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0] evalnestedLoopreturnin.14(A,B,C,D,E,F,G,H) -> evalnestedLoopstop.15(A,B,C,D,E,F,G,H) True evalnestedLoopreturnin.14(A,B,C,D,E,F,G,H) -> evalnestedLoopstop.16(A,B,C,D,E,F,G,H) True evalnestedLoopreturnin.14(A,B,C,D,E,F,G,H) -> evalnestedLoopstop.17(A,B,C,D,E,F,G,H) True evalnestedLoopreturnin.14(A,B,C,D,E,F,G,H) -> evalnestedLoopstop.18(A,B,C,D,E,F,G,H) True evalnestedLoopstop.15(A,B,C,D,E,F,G,H) -> exitus616.19(A,B,C,D,E,F,G,H) True evalnestedLoopstop.16(A,B,C,D,E,F,G,H) -> exitus616.19(A,B,C,D,E,F,G,H) True evalnestedLoopstop.17(A,B,C,D,E,F,G,H) -> exitus616.19(A,B,C,D,E,F,G,H) True evalnestedLoopstop.18(A,B,C,D,E,F,G,H) -> exitus616.19(A,B,C,D,E,F,G,H) True Signature: {(evalnestedLoopbb4in.9,8) ;(evalnestedLoopbb5in.12,8) ;(evalnestedLoopbb6in.10,8) ;(evalnestedLoopbb6in.11,8) ;(evalnestedLoopbb7in.7,8) ;(evalnestedLoopbb7in.8,8) ;(evalnestedLoopbb8in.13,8) ;(evalnestedLoopbb9in.5,8) ;(evalnestedLoopbb9in.6,8) ;(evalnestedLoopentryin.1,8) ;(evalnestedLoopentryin.2,8) ;(evalnestedLoopentryin.3,8) ;(evalnestedLoopentryin.4,8) ;(evalnestedLoopreturnin.14,8) ;(evalnestedLoopstart.0,8) ;(evalnestedLoopstop.15,8) ;(evalnestedLoopstop.16,8) ;(evalnestedLoopstop.17,8) ;(evalnestedLoopstop.18,8) ;(exitus616.19,8)} Rule Graph: [0->{4,5},1->{6},2->{7},3->{8},4->{9,10},5->{11},6->{23,24,25,26},7->{23,24,25,26},8->{23,24,25,26} ,9->{12},10->{13},11->{23,24,25,26},12->{14,15},13->{21,22},14->{16},15->{17,18},16->{19,20},17->{12} ,18->{13},19->{16},20->{17,18},21->{9,10},22->{11},23->{27},24->{28},25->{29},26->{30},27->{},28->{},29->{} ,30->{}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30] | `- p:[9,21,13,10,18,15,12,17,20,16,14,19] c: [9,10,13,14,16,18,19,20,21] | `- p:[12,17,15] c: [12,15,17] * Step 5: AbstractSize WORST_CASE(?,POLY) + Considered Problem: (Rules: evalnestedLoopstart.0(A,B,C,D,E,F,G,H) -> evalnestedLoopentryin.1(A,B,C,D,E,F,G,H) True evalnestedLoopstart.0(A,B,C,D,E,F,G,H) -> evalnestedLoopentryin.2(A,B,C,D,E,F,G,H) True evalnestedLoopstart.0(A,B,C,D,E,F,G,H) -> evalnestedLoopentryin.3(A,B,C,D,E,F,G,H) True evalnestedLoopstart.0(A,B,C,D,E,F,G,H) -> evalnestedLoopentryin.4(A,B,C,D,E,F,G,H) True evalnestedLoopentryin.1(A,B,C,D,E,F,G,H) -> evalnestedLoopbb9in.5(A,B,C,0,E,F,G,H) [A >= 0 && B >= 0 && C >= 0] evalnestedLoopentryin.1(A,B,C,D,E,F,G,H) -> evalnestedLoopbb9in.6(A,B,C,0,E,F,G,H) [A >= 0 && B >= 0 && C >= 0] evalnestedLoopentryin.2(A,B,C,D,E,F,G,H) -> evalnestedLoopreturnin.14(A,B,C,D,E,F,G,H) [0 >= 1 + A] evalnestedLoopentryin.3(A,B,C,D,E,F,G,H) -> evalnestedLoopreturnin.14(A,B,C,D,E,F,G,H) [0 >= 1 + B] evalnestedLoopentryin.4(A,B,C,D,E,F,G,H) -> evalnestedLoopreturnin.14(A,B,C,D,E,F,G,H) [0 >= 1 + C] evalnestedLoopbb9in.5(A,B,C,D,E,F,G,H) -> evalnestedLoopbb7in.7(A,B,C,D,0,D,G,H) [D >= 0 && C + D >= 0 && B + D >= 0 && A + D >= 0 && C >= 0 && B + C >= 0 && A + C >= 0 && B >= 0 && A + B >= 0 && A >= 0 && A >= 1 + D] evalnestedLoopbb9in.5(A,B,C,D,E,F,G,H) -> evalnestedLoopbb7in.8(A,B,C,D,0,D,G,H) [D >= 0 && C + D >= 0 && B + D >= 0 && A + D >= 0 && C >= 0 && B + C >= 0 && A + C >= 0 && B >= 0 && A + B >= 0 && A >= 0 && A >= 1 + D] evalnestedLoopbb9in.6(A,B,C,D,E,F,G,H) -> evalnestedLoopreturnin.14(A,B,C,D,E,F,G,H) [D >= 0 && C + D >= 0 && B + D >= 0 && A + D >= 0 && C >= 0 && B + C >= 0 && A + C >= 0 && B >= 0 && A + B >= 0 && A >= 0 && D >= A] evalnestedLoopbb7in.7(A,B,C,D,E,F,G,H) -> evalnestedLoopbb4in.9(A,B,C,D,E,F,G,H) [F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && B >= 1 + E] evalnestedLoopbb7in.8(A,B,C,D,E,F,G,H) -> evalnestedLoopbb8in.13(A,B,C,D,E,F,G,H) [F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0 && E >= B] evalnestedLoopbb4in.9(A,B,C,D,E,F,G,H) -> evalnestedLoopbb6in.10(A,B,C,D,E,F,1 + E,F) [F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] evalnestedLoopbb4in.9(A,B,C,D,E,F,G,H) -> evalnestedLoopbb6in.11(A,B,C,D,E,F,1 + E,F) [F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] evalnestedLoopbb6in.10(A,B,C,D,E,F,G,H) -> evalnestedLoopbb5in.12(A,B,C,D,E,F,G,H) [H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -1 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && C >= 1 + H] evalnestedLoopbb6in.11(A,B,C,D,E,F,G,H) -> evalnestedLoopbb7in.7(A,B,C,D,G,H,G,H) [H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -1 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && H >= C] evalnestedLoopbb6in.11(A,B,C,D,E,F,G,H) -> evalnestedLoopbb7in.8(A,B,C,D,G,H,G,H) [H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -1 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && C >= 0 && -1 + B + C >= 0 && -1 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0 && H >= C] evalnestedLoopbb5in.12(A,B,C,D,E,F,G,H) -> evalnestedLoopbb6in.10(A,B,C,D,E,F,G,1 + H) [-1 + C + -1*H >= 0 && H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && -1 + C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && -1 + C + -1*F >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && -1 + C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && -1 + C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + A + -1*D >= 0 && D >= 0 && -1 + C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && -1 + C >= 0 && -2 + B + C >= 0 && -2 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] evalnestedLoopbb5in.12(A,B,C,D,E,F,G,H) -> evalnestedLoopbb6in.11(A,B,C,D,E,F,G,1 + H) [-1 + C + -1*H >= 0 && H >= 0 && -1 + G + H >= 0 && F + H >= 0 && -1*F + H >= 0 && E + H >= 0 && D + H >= 0 && -1*D + H >= 0 && -1 + C + H >= 0 && -1 + B + H >= 0 && -1 + A + H >= 0 && 1 + E + -1*G >= 0 && B + -1*G >= 0 && -1 + G >= 0 && -1 + F + G >= 0 && -1 + E + G >= 0 && -1 + -1*E + G >= 0 && -1 + D + G >= 0 && -2 + C + G >= 0 && -2 + B + G >= 0 && -2 + A + G >= 0 && -1 + C + -1*F >= 0 && F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && -1 + C + F >= 0 && -1 + B + F >= 0 && -1 + A + F >= 0 && -1 + B + -1*E >= 0 && E >= 0 && D + E >= 0 && -1 + C + E >= 0 && -1 + B + E >= 0 && -1 + A + E >= 0 && -1 + C + -1*D >= 0 && -1 + A + -1*D >= 0 && D >= 0 && -1 + C + D >= 0 && -1 + B + D >= 0 && -1 + A + D >= 0 && -1 + C >= 0 && -2 + B + C >= 0 && -2 + A + C >= 0 && -1 + B >= 0 && -2 + A + B >= 0 && -1 + A >= 0] evalnestedLoopbb8in.13(A,B,C,D,E,F,G,H) -> evalnestedLoopbb9in.5(A,B,C,1 + F,E,F,G,H) [F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1*B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0] evalnestedLoopbb8in.13(A,B,C,D,E,F,G,H) -> evalnestedLoopbb9in.6(A,B,C,1 + F,E,F,G,H) [F >= 0 && E + F >= 0 && D + F >= 0 && -1*D + F >= 0 && C + F >= 0 && B + F >= 0 && -1 + A + F >= 0 && B + -1*E >= 0 && E >= 0 && D + E >= 0 && C + E >= 0 && B + E >= 0 && -1*B + E >= 0 && -1 + A + E >= 0 && -1 + A + -1*D >= 0 && D >= 0 && C + D >= 0 && B + D >= 0 && -1 + A + D >= 0 && C >= 0 && B + C >= 0 && -1 + A + C >= 0 && B >= 0 && -1 + A + B >= 0 && -1 + A >= 0] evalnestedLoopreturnin.14(A,B,C,D,E,F,G,H) -> evalnestedLoopstop.15(A,B,C,D,E,F,G,H) True evalnestedLoopreturnin.14(A,B,C,D,E,F,G,H) -> evalnestedLoopstop.16(A,B,C,D,E,F,G,H) True evalnestedLoopreturnin.14(A,B,C,D,E,F,G,H) -> evalnestedLoopstop.17(A,B,C,D,E,F,G,H) True evalnestedLoopreturnin.14(A,B,C,D,E,F,G,H) -> evalnestedLoopstop.18(A,B,C,D,E,F,G,H) True evalnestedLoopstop.15(A,B,C,D,E,F,G,H) -> exitus616.19(A,B,C,D,E,F,G,H) True evalnestedLoopstop.16(A,B,C,D,E,F,G,H) -> exitus616.19(A,B,C,D,E,F,G,H) True evalnestedLoopstop.17(A,B,C,D,E,F,G,H) -> exitus616.19(A,B,C,D,E,F,G,H) True evalnestedLoopstop.18(A,B,C,D,E,F,G,H) -> exitus616.19(A,B,C,D,E,F,G,H) True Signature: {(evalnestedLoopbb4in.9,8) ;(evalnestedLoopbb5in.12,8) ;(evalnestedLoopbb6in.10,8) ;(evalnestedLoopbb6in.11,8) ;(evalnestedLoopbb7in.7,8) ;(evalnestedLoopbb7in.8,8) ;(evalnestedLoopbb8in.13,8) ;(evalnestedLoopbb9in.5,8) ;(evalnestedLoopbb9in.6,8) ;(evalnestedLoopentryin.1,8) ;(evalnestedLoopentryin.2,8) ;(evalnestedLoopentryin.3,8) ;(evalnestedLoopentryin.4,8) ;(evalnestedLoopreturnin.14,8) ;(evalnestedLoopstart.0,8) ;(evalnestedLoopstop.15,8) ;(evalnestedLoopstop.16,8) ;(evalnestedLoopstop.17,8) ;(evalnestedLoopstop.18,8) ;(exitus616.19,8)} Rule Graph: [0->{4,5},1->{6},2->{7},3->{8},4->{9,10},5->{11},6->{23,24,25,26},7->{23,24,25,26},8->{23,24,25,26} ,9->{12},10->{13},11->{23,24,25,26},12->{14,15},13->{21,22},14->{16},15->{17,18},16->{19,20},17->{12} ,18->{13},19->{16},20->{17,18},21->{9,10},22->{11},23->{27},24->{28},25->{29},26->{30},27->{},28->{},29->{} ,30->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30] | `- p:[9,21,13,10,18,15,12,17,20,16,14,19] c: [9,10,13,14,16,18,19,20,21] | `- p:[12,17,15] c: [12,15,17]) + Applied Processor: AbstractSize Minimize + Details: () * Step 6: AbstractFlow WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [A,B,C,D,E,F,G,H,0.0,0.0.0] evalnestedLoopstart.0 ~> evalnestedLoopentryin.1 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalnestedLoopstart.0 ~> evalnestedLoopentryin.2 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalnestedLoopstart.0 ~> evalnestedLoopentryin.3 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalnestedLoopstart.0 ~> evalnestedLoopentryin.4 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalnestedLoopentryin.1 ~> evalnestedLoopbb9in.5 [A <= A, B <= B, C <= C, D <= 0*K, E <= E, F <= F, G <= G, H <= H] evalnestedLoopentryin.1 ~> evalnestedLoopbb9in.6 [A <= A, B <= B, C <= C, D <= 0*K, E <= E, F <= F, G <= G, H <= H] evalnestedLoopentryin.2 ~> evalnestedLoopreturnin.14 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalnestedLoopentryin.3 ~> evalnestedLoopreturnin.14 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalnestedLoopentryin.4 ~> evalnestedLoopreturnin.14 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalnestedLoopbb9in.5 ~> evalnestedLoopbb7in.7 [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= D, G <= G, H <= H] evalnestedLoopbb9in.5 ~> evalnestedLoopbb7in.8 [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= D, G <= G, H <= H] evalnestedLoopbb9in.6 ~> evalnestedLoopreturnin.14 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalnestedLoopbb7in.7 ~> evalnestedLoopbb4in.9 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalnestedLoopbb7in.8 ~> evalnestedLoopbb8in.13 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalnestedLoopbb4in.9 ~> evalnestedLoopbb6in.10 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= B, H <= F] evalnestedLoopbb4in.9 ~> evalnestedLoopbb6in.11 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= B, H <= F] evalnestedLoopbb6in.10 ~> evalnestedLoopbb5in.12 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalnestedLoopbb6in.11 ~> evalnestedLoopbb7in.7 [A <= A, B <= B, C <= C, D <= D, E <= G, F <= H, G <= G, H <= H] evalnestedLoopbb6in.11 ~> evalnestedLoopbb7in.8 [A <= A, B <= B, C <= C, D <= D, E <= G, F <= H, G <= G, H <= H] evalnestedLoopbb5in.12 ~> evalnestedLoopbb6in.10 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= C] evalnestedLoopbb5in.12 ~> evalnestedLoopbb6in.11 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= C] evalnestedLoopbb8in.13 ~> evalnestedLoopbb9in.5 [A <= A, B <= B, C <= C, D <= A + F, E <= E, F <= F, G <= G, H <= H] evalnestedLoopbb8in.13 ~> evalnestedLoopbb9in.6 [A <= A, B <= B, C <= C, D <= A + F, E <= E, F <= F, G <= G, H <= H] evalnestedLoopreturnin.14 ~> evalnestedLoopstop.15 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalnestedLoopreturnin.14 ~> evalnestedLoopstop.16 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalnestedLoopreturnin.14 ~> evalnestedLoopstop.17 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalnestedLoopreturnin.14 ~> evalnestedLoopstop.18 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalnestedLoopstop.15 ~> exitus616.19 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalnestedLoopstop.16 ~> exitus616.19 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalnestedLoopstop.17 ~> exitus616.19 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalnestedLoopstop.18 ~> exitus616.19 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] + Loop: [0.0 <= A + C + D] evalnestedLoopbb9in.5 ~> evalnestedLoopbb7in.7 [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= D, G <= G, H <= H] evalnestedLoopbb8in.13 ~> evalnestedLoopbb9in.5 [A <= A, B <= B, C <= C, D <= A + F, E <= E, F <= F, G <= G, H <= H] evalnestedLoopbb7in.8 ~> evalnestedLoopbb8in.13 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalnestedLoopbb9in.5 ~> evalnestedLoopbb7in.8 [A <= A, B <= B, C <= C, D <= D, E <= 0*K, F <= D, G <= G, H <= H] evalnestedLoopbb6in.11 ~> evalnestedLoopbb7in.8 [A <= A, B <= B, C <= C, D <= D, E <= G, F <= H, G <= G, H <= H] evalnestedLoopbb4in.9 ~> evalnestedLoopbb6in.11 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= B, H <= F] evalnestedLoopbb7in.7 ~> evalnestedLoopbb4in.9 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalnestedLoopbb6in.11 ~> evalnestedLoopbb7in.7 [A <= A, B <= B, C <= C, D <= D, E <= G, F <= H, G <= G, H <= H] evalnestedLoopbb5in.12 ~> evalnestedLoopbb6in.11 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= C] evalnestedLoopbb6in.10 ~> evalnestedLoopbb5in.12 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalnestedLoopbb4in.9 ~> evalnestedLoopbb6in.10 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= B, H <= F] evalnestedLoopbb5in.12 ~> evalnestedLoopbb6in.10 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= C] + Loop: [0.0.0 <= K + B + E + G] evalnestedLoopbb7in.7 ~> evalnestedLoopbb4in.9 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= G, H <= H] evalnestedLoopbb6in.11 ~> evalnestedLoopbb7in.7 [A <= A, B <= B, C <= C, D <= D, E <= G, F <= H, G <= G, H <= H] evalnestedLoopbb4in.9 ~> evalnestedLoopbb6in.11 [A <= A, B <= B, C <= C, D <= D, E <= E, F <= F, G <= B, H <= F] + Applied Processor: AbstractFlow + Details: () * Step 7: Lare WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [tick,huge,K,A,B,C,D,E,F,G,H,0.0,0.0.0] evalnestedLoopstart.0 ~> evalnestedLoopentryin.1 [] evalnestedLoopstart.0 ~> evalnestedLoopentryin.2 [] evalnestedLoopstart.0 ~> evalnestedLoopentryin.3 [] evalnestedLoopstart.0 ~> evalnestedLoopentryin.4 [] evalnestedLoopentryin.1 ~> evalnestedLoopbb9in.5 [K ~=> D] evalnestedLoopentryin.1 ~> evalnestedLoopbb9in.6 [K ~=> D] evalnestedLoopentryin.2 ~> evalnestedLoopreturnin.14 [] evalnestedLoopentryin.3 ~> evalnestedLoopreturnin.14 [] evalnestedLoopentryin.4 ~> evalnestedLoopreturnin.14 [] evalnestedLoopbb9in.5 ~> evalnestedLoopbb7in.7 [D ~=> F,K ~=> E] evalnestedLoopbb9in.5 ~> evalnestedLoopbb7in.8 [D ~=> F,K ~=> E] evalnestedLoopbb9in.6 ~> evalnestedLoopreturnin.14 [] evalnestedLoopbb7in.7 ~> evalnestedLoopbb4in.9 [] evalnestedLoopbb7in.8 ~> evalnestedLoopbb8in.13 [] evalnestedLoopbb4in.9 ~> evalnestedLoopbb6in.10 [B ~=> G,F ~=> H] evalnestedLoopbb4in.9 ~> evalnestedLoopbb6in.11 [B ~=> G,F ~=> H] evalnestedLoopbb6in.10 ~> evalnestedLoopbb5in.12 [] evalnestedLoopbb6in.11 ~> evalnestedLoopbb7in.7 [G ~=> E,H ~=> F] evalnestedLoopbb6in.11 ~> evalnestedLoopbb7in.8 [G ~=> E,H ~=> F] evalnestedLoopbb5in.12 ~> evalnestedLoopbb6in.10 [C ~=> H] evalnestedLoopbb5in.12 ~> evalnestedLoopbb6in.11 [C ~=> H] evalnestedLoopbb8in.13 ~> evalnestedLoopbb9in.5 [A ~+> D,F ~+> D] evalnestedLoopbb8in.13 ~> evalnestedLoopbb9in.6 [A ~+> D,F ~+> D] evalnestedLoopreturnin.14 ~> evalnestedLoopstop.15 [] evalnestedLoopreturnin.14 ~> evalnestedLoopstop.16 [] evalnestedLoopreturnin.14 ~> evalnestedLoopstop.17 [] evalnestedLoopreturnin.14 ~> evalnestedLoopstop.18 [] evalnestedLoopstop.15 ~> exitus616.19 [] evalnestedLoopstop.16 ~> exitus616.19 [] evalnestedLoopstop.17 ~> exitus616.19 [] evalnestedLoopstop.18 ~> exitus616.19 [] + Loop: [A ~+> 0.0,C ~+> 0.0,D ~+> 0.0] evalnestedLoopbb9in.5 ~> evalnestedLoopbb7in.7 [D ~=> F,K ~=> E] evalnestedLoopbb8in.13 ~> evalnestedLoopbb9in.5 [A ~+> D,F ~+> D] evalnestedLoopbb7in.8 ~> evalnestedLoopbb8in.13 [] evalnestedLoopbb9in.5 ~> evalnestedLoopbb7in.8 [D ~=> F,K ~=> E] evalnestedLoopbb6in.11 ~> evalnestedLoopbb7in.8 [G ~=> E,H ~=> F] evalnestedLoopbb4in.9 ~> evalnestedLoopbb6in.11 [B ~=> G,F ~=> H] evalnestedLoopbb7in.7 ~> evalnestedLoopbb4in.9 [] evalnestedLoopbb6in.11 ~> evalnestedLoopbb7in.7 [G ~=> E,H ~=> F] evalnestedLoopbb5in.12 ~> evalnestedLoopbb6in.11 [C ~=> H] evalnestedLoopbb6in.10 ~> evalnestedLoopbb5in.12 [] evalnestedLoopbb4in.9 ~> evalnestedLoopbb6in.10 [B ~=> G,F ~=> H] evalnestedLoopbb5in.12 ~> evalnestedLoopbb6in.10 [C ~=> H] + Loop: [B ~+> 0.0.0,E ~+> 0.0.0,G ~+> 0.0.0,K ~+> 0.0.0] evalnestedLoopbb7in.7 ~> evalnestedLoopbb4in.9 [] evalnestedLoopbb6in.11 ~> evalnestedLoopbb7in.7 [G ~=> E,H ~=> F] evalnestedLoopbb4in.9 ~> evalnestedLoopbb6in.11 [B ~=> G,F ~=> H] + Applied Processor: Lare + Details: evalnestedLoopstart.0 ~> exitus616.19 [B ~=> E ,B ~=> G ,C ~=> F ,C ~=> H ,G ~=> E ,H ~=> F ,K ~=> D ,K ~=> E ,K ~=> F ,K ~=> H ,A ~+> D ,A ~+> F ,A ~+> H ,A ~+> 0.0 ,A ~+> tick ,B ~+> 0.0.0 ,B ~+> tick ,C ~+> D ,C ~+> F ,C ~+> H ,C ~+> 0.0 ,C ~+> tick ,F ~+> D ,G ~+> 0.0.0 ,G ~+> tick ,H ~+> D ,H ~+> F ,H ~+> H ,tick ~+> tick ,K ~+> D ,K ~+> F ,K ~+> H ,K ~+> 0.0 ,K ~+> 0.0.0 ,K ~+> tick ,A ~*> D ,A ~*> F ,A ~*> H ,A ~*> tick ,B ~*> 0.0.0 ,B ~*> tick ,C ~*> D ,C ~*> F ,C ~*> H ,C ~*> tick ,G ~*> 0.0.0 ,G ~*> tick ,K ~*> D ,K ~*> F ,K ~*> H ,K ~*> 0.0.0 ,K ~*> tick] + evalnestedLoopbb8in.13> [B ~=> E ,B ~=> G ,C ~=> F ,C ~=> H ,D ~=> F ,D ~=> H ,G ~=> E ,H ~=> F ,K ~=> E ,A ~+> D ,A ~+> F ,A ~+> H ,A ~+> 0.0 ,A ~+> tick ,B ~+> 0.0.0 ,B ~+> tick ,C ~+> D ,C ~+> F ,C ~+> H ,C ~+> 0.0 ,C ~+> tick ,D ~+> D ,D ~+> F ,D ~+> H ,D ~+> 0.0 ,D ~+> tick ,G ~+> 0.0.0 ,G ~+> tick ,H ~+> D ,H ~+> F ,H ~+> H ,tick ~+> tick ,K ~+> 0.0.0 ,K ~+> tick ,A ~*> D ,A ~*> F ,A ~*> H ,A ~*> tick ,B ~*> 0.0.0 ,B ~*> tick ,C ~*> D ,C ~*> F ,C ~*> H ,C ~*> tick ,D ~*> D ,D ~*> F ,D ~*> H ,D ~*> tick ,G ~*> 0.0.0 ,G ~*> tick ,K ~*> 0.0.0 ,K ~*> tick] + evalnestedLoopbb4in.9> [B ~=> E ,B ~=> G ,F ~=> H ,B ~+> 0.0.0 ,B ~+> tick ,E ~+> 0.0.0 ,E ~+> tick ,G ~+> 0.0.0 ,G ~+> tick ,tick ~+> tick ,K ~+> 0.0.0 ,K ~+> tick] evalnestedLoopbb6in.11> [B ~=> E ,B ~=> G ,F ~=> H ,B ~+> 0.0.0 ,B ~+> tick ,E ~+> 0.0.0 ,E ~+> tick ,G ~+> 0.0.0 ,G ~+> tick ,tick ~+> tick ,K ~+> 0.0.0 ,K ~+> tick] evalnestedLoopbb4in.9> [B ~=> E ,B ~=> G ,G ~=> E ,H ~=> F ,B ~+> 0.0.0 ,B ~+> tick ,E ~+> 0.0.0 ,E ~+> tick ,G ~+> 0.0.0 ,G ~+> tick ,tick ~+> tick ,K ~+> 0.0.0 ,K ~+> tick] evalnestedLoopbb6in.11> [B ~=> E ,B ~=> G ,G ~=> E ,H ~=> F ,B ~+> 0.0.0 ,B ~+> tick ,E ~+> 0.0.0 ,E ~+> tick ,G ~+> 0.0.0 ,G ~+> tick ,tick ~+> tick ,K ~+> 0.0.0 ,K ~+> tick] YES(?,POLY)