Initial Problem

Start: eval_foo_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_bb5_in, eval_foo_bb6_in, eval_foo_bb7_in, eval_foo_start, eval_foo_stop
Transitions:
t₁: eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_foo_bb1_in(X₇, X₈, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₂: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₀ ∧ 1 ≤ X₁
t₃: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_foo_bb3_in(X₀, X₁, X₀, X₁, X₄, X₅, X₆, X₇, X₈) :|: X₀ ≤ 0
t₄: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_foo_bb3_in(X₀, X₁, X₀, X₁, X₄, X₅, X₆, X₇, X₈) :|: X₁ ≤ 0
t₅: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_foo_bb1_in(X₀-1, X₁-1, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₆: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₂
t₇: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_foo_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: X₂ ≤ 0
t₈: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₂, 1+X₃, X₆, X₇, X₈)
t₁₀: eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_foo_bb3_in(X₀, X₁, X₄, X₅, X₄, X₅, X₆, X₇, X₈) :|: X₄ ≤ 0
t₁₁: eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_foo_bb3_in(X₀, X₁, X₄, X₅, X₄, X₅, X₆, X₇, X₈) :|: X₅ ≤ 0
t₉: eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_foo_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) :|: 1 ≤ X₄ ∧ 1 ≤ X₅
t₁₂: eval_foo_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄-1, X₅-1, X₆, X₇, X₈)
t₁₃: eval_foo_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_foo_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)
t₀: eval_foo_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈) → eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈)

Preprocessing

Eliminate variables [X₆] that do not contribute to the problem

Found invariant X₁ ≤ X₇ ∧ 1 ≤ X₆ ∧ 1 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 1+X₃ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₀+X₄ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀ for location eval_foo_bb5_in

Found invariant X₁ ≤ X₇ ∧ X₂ ≤ X₆ ∧ X₀ ≤ X₆ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₀ for location eval_foo_bb7_in

Found invariant X₁ ≤ X₇ ∧ X₂ ≤ X₆ ∧ X₀ ≤ X₆ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₀ for location eval_foo_stop

Found invariant X₁ ≤ X₇ ∧ X₂ ≤ X₆ ∧ X₀ ≤ X₆ ∧ X₂ ≤ X₀ for location eval_foo_bb3_in

Found invariant 1 ≤ X₇ ∧ 2 ≤ X₆+X₇ ∧ 2 ≤ X₁+X₇ ∧ X₁ ≤ X₇ ∧ 2 ≤ X₀+X₇ ∧ 1 ≤ X₆ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_foo_bb2_in

Found invariant X₁ ≤ X₇ ∧ X₀ ≤ X₆ for location eval_foo_bb1_in

Found invariant X₁ ≤ X₇ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ X₄ ≤ X₆ ∧ 1 ≤ X₃+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₅ ≤ 1+X₃ ∧ 1 ≤ X₅ ∧ 2 ≤ X₄+X₅ ∧ 1 ≤ X₃+X₅ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₀+X₅ ∧ X₄ ≤ X₂ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₄ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀ for location eval_foo_bb6_in

Found invariant X₁ ≤ X₇ ∧ 1 ≤ X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₆ ∧ 2 ≤ X₀+X₆ ∧ X₀ ≤ X₆ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 1 ≤ X₀ for location eval_foo_bb4_in

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_bb5_in, eval_foo_bb6_in, eval_foo_bb7_in, eval_foo_start, eval_foo_stop
Transitions:
t₂₇: eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_foo_bb1_in(X₆, X₇, X₂, X₃, X₄, X₅, X₆, X₇)
t₂₈: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₇
t₂₉: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_foo_bb3_in(X₀, X₁, X₀, X₁, X₄, X₅, X₆, X₇) :|: X₀ ≤ 0 ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₇
t₃₀: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_foo_bb3_in(X₀, X₁, X₀, X₁, X₄, X₅, X₆, X₇) :|: X₁ ≤ 0 ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₇
t₃₁: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_foo_bb1_in(X₀-1, X₁-1, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₆ ∧ 1 ≤ X₇ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₀+X₇ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₆+X₇ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₇
t₃₂: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₇ ∧ X₂ ≤ X₆
t₃₃: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_foo_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₂ ≤ 0 ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₇ ∧ X₂ ≤ X₆
t₃₄: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₂, 1+X₃, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₇ ∧ X₂ ≤ X₆
t₃₅: eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_foo_bb3_in(X₀, X₁, X₄, X₅, X₄, X₅, X₆, X₇) :|: X₄ ≤ 0 ∧ X₅ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₇ ∧ X₄ ≤ X₂ ∧ X₂ ≤ X₆ ∧ 0 ≤ X₄ ∧ X₄ ≤ X₆
t₃₆: eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_foo_bb3_in(X₀, X₁, X₄, X₅, X₄, X₅, X₆, X₇) :|: X₅ ≤ 0 ∧ X₅ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₇ ∧ X₄ ≤ X₂ ∧ X₂ ≤ X₆ ∧ 0 ≤ X₄ ∧ X₄ ≤ X₆
t₃₇: eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_foo_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ X₅ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₇ ∧ X₄ ≤ X₂ ∧ X₂ ≤ X₆ ∧ 0 ≤ X₄ ∧ X₄ ≤ X₆
t₃₈: eval_foo_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄-1, X₅-1, X₆, X₇) :|: X₅ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₅+X₆ ∧ X₂ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₇ ∧ X₄ ≤ X₂ ∧ X₂ ≤ X₆ ∧ 0 ≤ X₃ ∧ X₄ ≤ X₆
t₃₉: eval_foo_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_foo_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: X₂ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₇ ∧ X₂ ≤ 0 ∧ X₂ ≤ X₆
t₄₀: eval_foo_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇)

MPRF for transition t₂₈: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₇ of depth 1:

new bound:

X₆ {O(n)}

• eval_foo_bb1_in: [X₀]
• eval_foo_bb2_in: [X₀-1]

MPRF for transition t₃₁: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_foo_bb1_in(X₀-1, X₁-1, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₆ ∧ 1 ≤ X₇ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₀+X₇ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₁+X₇ ∧ 2 ≤ X₆+X₇ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₇ of depth 1:

new bound:

X₇ {O(n)}

• eval_foo_bb1_in: [X₁]
• eval_foo_bb2_in: [X₁]

MPRF for transition t₃₅: eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_foo_bb3_in(X₀, X₁, X₄, X₅, X₄, X₅, X₆, X₇) :|: X₄ ≤ 0 ∧ X₅ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₇ ∧ X₄ ≤ X₂ ∧ X₂ ≤ X₆ ∧ 0 ≤ X₄ ∧ X₄ ≤ X₆ of depth 1:

new bound:

2⋅X₆ {O(n)}

• eval_foo_bb3_in: [X₂]
• eval_foo_bb4_in: [X₂]
• eval_foo_bb5_in: [X₂]
• eval_foo_bb6_in: [X₂]

MPRF for transition t₃₆: eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_foo_bb3_in(X₀, X₁, X₄, X₅, X₄, X₅, X₆, X₇) :|: X₅ ≤ 0 ∧ X₅ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₇ ∧ X₄ ≤ X₂ ∧ X₂ ≤ X₆ ∧ 0 ≤ X₄ ∧ X₄ ≤ X₆ of depth 1:

new bound:

2⋅X₆+2⋅X₇ {O(n)}

• eval_foo_bb3_in: [X₂-X₃]
• eval_foo_bb4_in: [X₂-X₃]
• eval_foo_bb5_in: [1+X₄-X₅]
• eval_foo_bb6_in: [1+X₄-X₅]

MPRF for transition t₃₇: eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_foo_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ X₅ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₇ ∧ X₄ ≤ X₂ ∧ X₂ ≤ X₆ ∧ 0 ≤ X₄ ∧ X₄ ≤ X₆ of depth 1:

new bound:

2⋅X₆+1 {O(n)}

• eval_foo_bb3_in: [1+X₂]
• eval_foo_bb4_in: [1+X₂]
• eval_foo_bb5_in: [1+X₄]
• eval_foo_bb6_in: [X₄]

MPRF for transition t₃₈: eval_foo_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₄-1, X₅-1, X₆, X₇) :|: X₅ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₃+X₅ ∧ 1 ≤ X₃+X₆ ∧ 1 ≤ X₄ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₀+X₅ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₂+X₅ ∧ 2 ≤ X₂+X₆ ∧ 2 ≤ X₄+X₅ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₅+X₆ ∧ X₂ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₇ ∧ X₄ ≤ X₂ ∧ X₂ ≤ X₆ ∧ 0 ≤ X₃ ∧ X₄ ≤ X₆ of depth 1:

new bound:

2⋅X₆ {O(n)}

• eval_foo_bb3_in: [X₂]
• eval_foo_bb4_in: [X₂]
• eval_foo_bb5_in: [X₄]
• eval_foo_bb6_in: [X₄]

knowledge_propagation leads to new time bound 2⋅X₆+2⋅X₇+1 {O(n)} for transition t₃₂: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) :|: 1 ≤ X₂ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₇ ∧ X₂ ≤ X₆

knowledge_propagation leads to new time bound 2⋅X₆+2⋅X₇+1 {O(n)} for transition t₃₄: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆, X₇) → eval_foo_bb5_in(X₀, X₁, X₂, X₃, X₂, 1+X₃, X₆, X₇) :|: 1 ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₆ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₆ ∧ 2 ≤ X₂+X₆ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₆ ∧ X₁ ≤ X₇ ∧ X₂ ≤ X₆

All Bounds

Timebounds

Overall timebound:13⋅X₆+7⋅X₇+9 {O(n)}
t₂₇: 1 {O(1)}
t₂₈: X₆ {O(n)}
t₂₉: 1 {O(1)}
t₃₀: 1 {O(1)}
t₃₁: X₇ {O(n)}
t₃₂: 2⋅X₆+2⋅X₇+1 {O(n)}
t₃₃: 1 {O(1)}
t₃₄: 2⋅X₆+2⋅X₇+1 {O(n)}
t₃₅: 2⋅X₆ {O(n)}
t₃₆: 2⋅X₆+2⋅X₇ {O(n)}
t₃₇: 2⋅X₆+1 {O(n)}
t₃₈: 2⋅X₆ {O(n)}
t₃₉: 1 {O(1)}
t₄₀: 1 {O(1)}

Costbounds

Overall costbound: 13⋅X₆+7⋅X₇+9 {O(n)}
t₂₇: 1 {O(1)}
t₂₈: X₆ {O(n)}
t₂₉: 1 {O(1)}
t₃₀: 1 {O(1)}
t₃₁: X₇ {O(n)}
t₃₂: 2⋅X₆+2⋅X₇+1 {O(n)}
t₃₃: 1 {O(1)}
t₃₄: 2⋅X₆+2⋅X₇+1 {O(n)}
t₃₅: 2⋅X₆ {O(n)}
t₃₆: 2⋅X₆+2⋅X₇ {O(n)}
t₃₇: 2⋅X₆+1 {O(n)}
t₃₈: 2⋅X₆ {O(n)}
t₃₉: 1 {O(1)}
t₄₀: 1 {O(1)}

Sizebounds

t₂₇, X₀: X₆ {O(n)}
t₂₇, X₁: X₇ {O(n)}
t₂₇, X₂: X₂ {O(n)}
t₂₇, X₃: X₃ {O(n)}
t₂₇, X₄: X₄ {O(n)}
t₂₇, X₅: X₅ {O(n)}
t₂₇, X₆: X₆ {O(n)}
t₂₇, X₇: X₇ {O(n)}
t₂₈, X₀: X₆ {O(n)}
t₂₈, X₁: X₇ {O(n)}
t₂₈, X₂: X₂ {O(n)}
t₂₈, X₃: X₃ {O(n)}
t₂₈, X₄: X₄ {O(n)}
t₂₈, X₅: X₅ {O(n)}
t₂₈, X₆: X₆ {O(n)}
t₂₈, X₇: X₇ {O(n)}
t₂₉, X₀: 2⋅X₆ {O(n)}
t₂₉, X₁: 2⋅X₇ {O(n)}
t₂₉, X₂: 2⋅X₆ {O(n)}
t₂₉, X₃: 2⋅X₇ {O(n)}
t₂₉, X₄: 2⋅X₄ {O(n)}
t₂₉, X₅: 2⋅X₅ {O(n)}
t₂₉, X₆: 2⋅X₆ {O(n)}
t₂₉, X₇: 2⋅X₇ {O(n)}
t₃₀, X₀: 2⋅X₆ {O(n)}
t₃₀, X₁: 2⋅X₇ {O(n)}
t₃₀, X₂: 2⋅X₆ {O(n)}
t₃₀, X₃: 2⋅X₇ {O(n)}
t₃₀, X₄: 2⋅X₄ {O(n)}
t₃₀, X₅: 2⋅X₅ {O(n)}
t₃₀, X₆: 2⋅X₆ {O(n)}
t₃₀, X₇: 2⋅X₇ {O(n)}
t₃₁, X₀: X₆ {O(n)}
t₃₁, X₁: X₇ {O(n)}
t₃₁, X₂: X₂ {O(n)}
t₃₁, X₃: X₃ {O(n)}
t₃₁, X₄: X₄ {O(n)}
t₃₁, X₅: X₅ {O(n)}
t₃₁, X₆: X₆ {O(n)}
t₃₁, X₇: X₇ {O(n)}
t₃₂, X₀: 2⋅X₆ {O(n)}
t₃₂, X₁: 2⋅X₇ {O(n)}
t₃₂, X₂: 2⋅X₆ {O(n)}
t₃₂, X₃: 2⋅X₆+4⋅X₇+1 {O(n)}
t₃₂, X₄: 2⋅X₄+4⋅X₆ {O(n)}
t₃₂, X₅: 2⋅X₅+4⋅X₆+8⋅X₇+2 {O(n)}
t₃₂, X₆: 2⋅X₆ {O(n)}
t₃₂, X₇: 2⋅X₇ {O(n)}
t₃₃, X₀: 8⋅X₆ {O(n)}
t₃₃, X₁: 8⋅X₇ {O(n)}
t₃₃, X₂: 6⋅X₆ {O(n)}
t₃₃, X₃: 12⋅X₇+4⋅X₆+2 {O(n)}
t₃₃, X₄: 4⋅X₄+4⋅X₆ {O(n)}
t₃₃, X₅: 12⋅X₇+4⋅X₅+6⋅X₆+3 {O(n)}
t₃₃, X₆: 8⋅X₆ {O(n)}
t₃₃, X₇: 8⋅X₇ {O(n)}
t₃₄, X₀: 2⋅X₆ {O(n)}
t₃₄, X₁: 2⋅X₇ {O(n)}
t₃₄, X₂: 2⋅X₆ {O(n)}
t₃₄, X₃: 2⋅X₆+4⋅X₇+1 {O(n)}
t₃₄, X₄: 2⋅X₆ {O(n)}
t₃₄, X₅: 2⋅X₆+4⋅X₇+1 {O(n)}
t₃₄, X₆: 2⋅X₆ {O(n)}
t₃₄, X₇: 2⋅X₇ {O(n)}
t₃₅, X₀: 2⋅X₆ {O(n)}
t₃₅, X₁: 2⋅X₇ {O(n)}
t₃₅, X₂: 0 {O(1)}
t₃₅, X₃: 2⋅X₆+4⋅X₇+1 {O(n)}
t₃₅, X₄: 0 {O(1)}
t₃₅, X₅: 2⋅X₆+4⋅X₇+1 {O(n)}
t₃₅, X₆: 2⋅X₆ {O(n)}
t₃₅, X₇: 2⋅X₇ {O(n)}
t₃₆, X₀: 2⋅X₆ {O(n)}
t₃₆, X₁: 2⋅X₇ {O(n)}
t₃₆, X₂: 2⋅X₆ {O(n)}
t₃₆, X₃: 2⋅X₆+4⋅X₇+1 {O(n)}
t₃₆, X₄: 4⋅X₆ {O(n)}
t₃₆, X₅: 4⋅X₆+8⋅X₇+2 {O(n)}
t₃₆, X₆: 2⋅X₆ {O(n)}
t₃₆, X₇: 2⋅X₇ {O(n)}
t₃₇, X₀: 2⋅X₆ {O(n)}
t₃₇, X₁: 2⋅X₇ {O(n)}
t₃₇, X₂: 2⋅X₆ {O(n)}
t₃₇, X₃: 2⋅X₆+4⋅X₇+1 {O(n)}
t₃₇, X₄: 2⋅X₆ {O(n)}
t₃₇, X₅: 2⋅X₆+4⋅X₇+1 {O(n)}
t₃₇, X₆: 2⋅X₆ {O(n)}
t₃₇, X₇: 2⋅X₇ {O(n)}
t₃₈, X₀: 2⋅X₆ {O(n)}
t₃₈, X₁: 2⋅X₇ {O(n)}
t₃₈, X₂: 2⋅X₆ {O(n)}
t₃₈, X₃: 2⋅X₆+4⋅X₇+1 {O(n)}
t₃₈, X₄: 2⋅X₆ {O(n)}
t₃₈, X₅: 2⋅X₆+4⋅X₇+1 {O(n)}
t₃₈, X₆: 2⋅X₆ {O(n)}
t₃₈, X₇: 2⋅X₇ {O(n)}
t₃₉, X₀: 8⋅X₆ {O(n)}
t₃₉, X₁: 8⋅X₇ {O(n)}
t₃₉, X₂: 6⋅X₆ {O(n)}
t₃₉, X₃: 12⋅X₇+4⋅X₆+2 {O(n)}
t₃₉, X₄: 4⋅X₄+4⋅X₆ {O(n)}
t₃₉, X₅: 12⋅X₇+4⋅X₅+6⋅X₆+3 {O(n)}
t₃₉, X₆: 8⋅X₆ {O(n)}
t₃₉, X₇: 8⋅X₇ {O(n)}
t₄₀, X₀: X₀ {O(n)}
t₄₀, X₁: X₁ {O(n)}
t₄₀, X₂: X₂ {O(n)}
t₄₀, X₃: X₃ {O(n)}
t₄₀, X₄: X₄ {O(n)}
t₄₀, X₅: X₅ {O(n)}
t₄₀, X₆: X₆ {O(n)}
t₄₀, X₇: X₇ {O(n)}