Initial Problem

Start: eval_twn18_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars:
Locations: eval_twn18_.critedge_in, eval_twn18_bb0_in, eval_twn18_bb1_in, eval_twn18_bb2_in, eval_twn18_bb3_in, eval_twn18_start, eval_twn18_stop
Transitions:
t₇: eval_twn18_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_twn18_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁: eval_twn18_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_twn18_bb1_in(X₃, X₄, X₂, X₃, X₄, X₅, X₆)
t₃: eval_twn18_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_twn18_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: (X₀)² ≤ 1
t₂: eval_twn18_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_twn18_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 2 ≤ (X₀)²
t₅: eval_twn18_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_twn18_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₁*X₂ ≤ 0
t₄: eval_twn18_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_twn18_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₁*X₂
t₆: eval_twn18_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_twn18_bb1_in(3⋅X₀-4⋅X₁, 4⋅X₀-3⋅X₁, X₂, X₃, X₄, X₅, X₆)
t₀: eval_twn18_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_twn18_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆)

Preprocessing

Eliminate variables [X₅; X₆] that do not contribute to the problem

Problem after Preprocessing

Start: eval_twn18_start
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: eval_twn18_.critedge_in, eval_twn18_bb0_in, eval_twn18_bb1_in, eval_twn18_bb2_in, eval_twn18_bb3_in, eval_twn18_start, eval_twn18_stop
Transitions:
t₁₅: eval_twn18_.critedge_in(X₀, X₁, X₂, X₃, X₄) → eval_twn18_stop(X₀, X₁, X₂, X₃, X₄)
t₁₆: eval_twn18_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_twn18_bb1_in(X₃, X₄, X₂, X₃, X₄)
t₁₇: eval_twn18_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_twn18_.critedge_in(X₀, X₁, X₂, X₃, X₄) :|: (X₀)² ≤ 1
t₁₈: eval_twn18_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_twn18_bb2_in(X₀, X₁, X₂, X₃, X₄) :|: 2 ≤ (X₀)²
t₁₉: eval_twn18_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_twn18_.critedge_in(X₀, X₁, X₂, X₃, X₄) :|: X₁*X₂ ≤ 0
t₂₀: eval_twn18_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_twn18_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₁*X₂
t₂₁: eval_twn18_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_twn18_bb1_in(3⋅X₀-4⋅X₁, 4⋅X₀-3⋅X₁, X₂, X₃, X₄)
t₂₂: eval_twn18_start(X₀, X₁, X₂, X₃, X₄) → eval_twn18_bb0_in(X₀, X₁, X₂, X₃, X₄)

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₁₅: 1 {O(1)}
t₁₆: 1 {O(1)}
t₁₇: 1 {O(1)}
t₁₈: inf {Infinity}
t₁₉: 1 {O(1)}
t₂₀: inf {Infinity}
t₂₁: inf {Infinity}
t₂₂: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₁₅: 1 {O(1)}
t₁₆: 1 {O(1)}
t₁₇: 1 {O(1)}
t₁₈: inf {Infinity}
t₁₉: 1 {O(1)}
t₂₀: inf {Infinity}
t₂₁: inf {Infinity}
t₂₂: 1 {O(1)}

Sizebounds

t₁₅, X₂: 3⋅X₂ {O(n)}
t₁₅, X₃: 3⋅X₃ {O(n)}
t₁₅, X₄: 3⋅X₄ {O(n)}
t₁₆, X₀: X₃ {O(n)}
t₁₆, X₁: X₄ {O(n)}
t₁₆, X₂: X₂ {O(n)}
t₁₆, X₃: X₃ {O(n)}
t₁₆, X₄: X₄ {O(n)}
t₁₇, X₂: 2⋅X₂ {O(n)}
t₁₇, X₃: 2⋅X₃ {O(n)}
t₁₇, X₄: 2⋅X₄ {O(n)}
t₁₈, X₂: X₂ {O(n)}
t₁₈, X₃: X₃ {O(n)}
t₁₈, X₄: X₄ {O(n)}
t₁₉, X₂: X₂ {O(n)}
t₁₉, X₃: X₃ {O(n)}
t₁₉, X₄: X₄ {O(n)}
t₂₀, X₂: X₂ {O(n)}
t₂₀, X₃: X₃ {O(n)}
t₂₀, X₄: X₄ {O(n)}
t₂₁, X₂: X₂ {O(n)}
t₂₁, X₃: X₃ {O(n)}
t₂₁, X₄: X₄ {O(n)}
t₂₂, X₀: X₀ {O(n)}
t₂₂, X₁: X₁ {O(n)}
t₂₂, X₂: X₂ {O(n)}
t₂₂, X₃: X₃ {O(n)}
t₂₂, X₄: X₄ {O(n)}