Initial Problem

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

Preprocessing

Eliminate variables [X₃; X₆] that do not contribute to the problem

Found invariant 1 ≤ 0 for location eval_foo_bb5_in

Found invariant X₀ ≤ X₃ for location eval_foo_bb7_in

Found invariant X₀ ≤ X₃ for location eval_foo_stop

Found invariant X₄ ≤ X₃ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_foo_bb3_in

Found invariant X₄ ≤ X₃ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 1 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₀ ∧ 0 ≤ X₂ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_foo_bb2_in

Found invariant X₀ ≤ X₃ for location eval_foo_bb1_in

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

Found invariant X₄ ≤ X₃ ∧ X₄ ≤ X₀ ∧ 1 ≤ X₄ ∧ 2 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₁+X₄ ∧ X₁ ≤ X₄ ∧ 2 ≤ X₀+X₄ ∧ 1 ≤ X₃ ∧ 2 ≤ X₂+X₃ ∧ X₂ ≤ X₃ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 2 ≤ X₀+X₃ ∧ X₀ ≤ X₃ ∧ X₂ ≤ X₀ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_foo_bb4_in

Cut unsatisfiable transition [t₃₂: eval_foo_bb2_in→eval_foo_bb3_in; t₃₆: eval_foo_bb3_in→eval_foo_bb5_in; t₃₈: eval_foo_bb5_in→eval_foo_bb2_in]

Cut unreachable locations [eval_foo_bb5_in] from the program graph

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: X₀, X₁, X₂, X₃, X₄
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_bb6_in, eval_foo_bb7_in, eval_foo_start, eval_foo_stop
Transitions:
t₂₈: eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb1_in(X₃, X₁, X₂, X₃, X₄)
t₂₉: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb2_in(X₀, X₄, X₀, X₃, X₄) :|: 1 ≤ X₄ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₃
t₃₀: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb7_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₀ ≤ X₄ ∧ X₀ ≤ X₃
t₃₁: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb7_in(X₀, X₁, X₂, X₃, X₄) :|: X₄ ≤ 0 ∧ X₀ ≤ X₃
t₃₃: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₃+X₄ ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₄ ≤ X₃
t₃₄: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb6_in(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₃+X₄ ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₄ ≤ X₃
t₃₅: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₁ ≤ X₄ ∧ X₂ ≤ X₃ ∧ X₄ ≤ X₃
t₃₇: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb2_in(X₀, X₁-1, X₂-1, X₃, X₄) :|: 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₁ ≤ X₄ ∧ X₂ ≤ X₃ ∧ X₄ ≤ X₃
t₃₉: eval_foo_bb6_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb1_in(X₂, X₁, X₂, X₃, X₄) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₃+X₄ ∧ X₂ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₄ ≤ X₃
t₄₀: eval_foo_bb7_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_stop(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₃
t₄₁: eval_foo_start(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb0_in(X₀, X₁, X₂, X₃, X₄)

MPRF for transition t₂₉: eval_foo_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb2_in(X₀, X₄, X₀, X₃, X₄) :|: 1 ≤ X₄ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₃ of depth 1:

new bound:

X₃ {O(n)}

• eval_foo_bb1_in: [X₀]
• eval_foo_bb2_in: [X₂-X₁]
• eval_foo_bb3_in: [X₂-X₁]
• eval_foo_bb4_in: [X₂-X₁]
• eval_foo_bb6_in: [X₂]

MPRF for transition t₃₃: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₃+X₄ ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₄ ≤ X₃ of depth 1:

new bound:

2⋅X₃+X₄+1 {O(n)}

• eval_foo_bb1_in: [1+2⋅X₀-X₄]
• eval_foo_bb2_in: [1+2⋅X₂-X₁]
• eval_foo_bb3_in: [2⋅X₂-X₁]
• eval_foo_bb4_in: [2⋅X₂-X₁]
• eval_foo_bb6_in: [2⋅X₂]

MPRF for transition t₃₄: eval_foo_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb6_in(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₃+X₄ ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₁ ≤ X₄ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₄ ≤ X₃ of depth 1:

new bound:

X₃ {O(n)}

• eval_foo_bb1_in: [X₀]
• eval_foo_bb2_in: [1+X₂-X₁]
• eval_foo_bb3_in: [1+X₂-X₁]
• eval_foo_bb4_in: [1+X₂-X₁]
• eval_foo_bb6_in: [X₂-X₁]

MPRF for transition t₃₅: eval_foo_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₁ ∧ 1 ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₁ ≤ X₄ ∧ X₂ ≤ X₃ ∧ X₄ ≤ X₃ of depth 1:

new bound:

X₃+X₄ {O(n)}

• eval_foo_bb1_in: [X₀+X₄]
• eval_foo_bb2_in: [X₂+X₄]
• eval_foo_bb3_in: [X₂+X₄]
• eval_foo_bb4_in: [X₂+X₄-1]
• eval_foo_bb6_in: [X₂+X₄]

MPRF for transition t₃₇: eval_foo_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb2_in(X₀, X₁-1, X₂-1, X₃, X₄) :|: 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₂ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₁+X₂ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₁+X₄ ∧ 2 ≤ X₂+X₃ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₃+X₄ ∧ X₁ ≤ X₀ ∧ X₂ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₃ ∧ X₁ ≤ X₂ ∧ X₁ ≤ X₃ ∧ X₁ ≤ X₄ ∧ X₂ ≤ X₃ ∧ X₄ ≤ X₃ of depth 1:

new bound:

X₃ {O(n)}

• eval_foo_bb1_in: [X₀]
• eval_foo_bb2_in: [X₂]
• eval_foo_bb3_in: [X₂]
• eval_foo_bb4_in: [X₂]
• eval_foo_bb6_in: [X₂]

MPRF for transition t₃₉: eval_foo_bb6_in(X₀, X₁, X₂, X₃, X₄) → eval_foo_bb1_in(X₂, X₁, X₂, X₃, X₄) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₂ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₁+X₄ ∧ 1+X₁ ≤ X₃ ∧ 1+X₁ ≤ X₄ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₃ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₃ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₃+X₄ ∧ X₂ ≤ X₀ ∧ X₄ ≤ X₀ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₂ ∧ 0 ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₄ ≤ X₃ of depth 1:

new bound:

X₃ {O(n)}

• eval_foo_bb1_in: [X₀]
• eval_foo_bb2_in: [X₂+X₄-X₁]
• eval_foo_bb3_in: [X₂+X₄-X₁]
• eval_foo_bb4_in: [X₂+X₄-X₁]
• eval_foo_bb6_in: [1+X₂]

All Bounds

Timebounds

Overall timebound:2⋅X₄+7⋅X₃+6 {O(n)}
t₂₈: 1 {O(1)}
t₂₉: X₃ {O(n)}
t₃₀: 1 {O(1)}
t₃₁: 1 {O(1)}
t₃₃: 2⋅X₃+X₄+1 {O(n)}
t₃₄: X₃ {O(n)}
t₃₅: X₃+X₄ {O(n)}
t₃₇: X₃ {O(n)}
t₃₉: X₃ {O(n)}
t₄₀: 1 {O(1)}
t₄₁: 1 {O(1)}

Costbounds

Overall costbound: 2⋅X₄+7⋅X₃+6 {O(n)}
t₂₈: 1 {O(1)}
t₂₉: X₃ {O(n)}
t₃₀: 1 {O(1)}
t₃₁: 1 {O(1)}
t₃₃: 2⋅X₃+X₄+1 {O(n)}
t₃₄: X₃ {O(n)}
t₃₅: X₃+X₄ {O(n)}
t₃₇: X₃ {O(n)}
t₃₉: X₃ {O(n)}
t₄₀: 1 {O(1)}
t₄₁: 1 {O(1)}

Sizebounds

t₂₈, X₀: X₃ {O(n)}
t₂₈, X₁: X₁ {O(n)}
t₂₈, X₂: X₂ {O(n)}
t₂₈, X₃: X₃ {O(n)}
t₂₈, X₄: X₄ {O(n)}
t₂₉, X₀: X₃ {O(n)}
t₂₉, X₁: 2⋅X₄ {O(n)}
t₂₉, X₂: 2⋅X₃ {O(n)}
t₂₉, X₃: X₃ {O(n)}
t₂₉, X₄: X₄ {O(n)}
t₃₀, X₀: 2⋅X₃ {O(n)}
t₃₀, X₁: X₁ {O(n)}
t₃₀, X₂: 2⋅X₃+X₂ {O(n)}
t₃₀, X₃: 2⋅X₃ {O(n)}
t₃₀, X₄: 2⋅X₄ {O(n)}
t₃₁, X₀: X₃ {O(n)}
t₃₁, X₁: X₁ {O(n)}
t₃₁, X₂: X₂ {O(n)}
t₃₁, X₃: X₃ {O(n)}
t₃₁, X₄: X₄ {O(n)}
t₃₃, X₀: X₃ {O(n)}
t₃₃, X₁: 2⋅X₄ {O(n)}
t₃₃, X₂: 2⋅X₃ {O(n)}
t₃₃, X₃: X₃ {O(n)}
t₃₃, X₄: X₄ {O(n)}
t₃₄, X₀: X₃ {O(n)}
t₃₄, X₁: 0 {O(1)}
t₃₄, X₂: 2⋅X₃ {O(n)}
t₃₄, X₃: X₃ {O(n)}
t₃₄, X₄: X₄ {O(n)}
t₃₅, X₀: X₃ {O(n)}
t₃₅, X₁: 2⋅X₄ {O(n)}
t₃₅, X₂: 2⋅X₃ {O(n)}
t₃₅, X₃: X₃ {O(n)}
t₃₅, X₄: X₄ {O(n)}
t₃₇, X₀: X₃ {O(n)}
t₃₇, X₁: 2⋅X₄ {O(n)}
t₃₇, X₂: 2⋅X₃ {O(n)}
t₃₇, X₃: X₃ {O(n)}
t₃₇, X₄: X₄ {O(n)}
t₃₉, X₀: X₃ {O(n)}
t₃₉, X₁: 0 {O(1)}
t₃₉, X₂: 2⋅X₃ {O(n)}
t₃₉, X₃: X₃ {O(n)}
t₃₉, X₄: X₄ {O(n)}
t₄₀, X₀: 3⋅X₃ {O(n)}
t₄₀, X₁: 2⋅X₁ {O(n)}
t₄₀, X₂: 2⋅X₂+2⋅X₃ {O(n)}
t₄₀, X₃: 3⋅X₃ {O(n)}
t₄₀, X₄: 3⋅X₄ {O(n)}
t₄₁, X₀: X₀ {O(n)}
t₄₁, X₁: X₁ {O(n)}
t₄₁, X₂: X₂ {O(n)}
t₄₁, X₃: X₃ {O(n)}
t₄₁, X₄: X₄ {O(n)}