Initial Problem

Start: eval_non_linear05_start
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars:
Locations: eval_non_linear05_.critedge_in, eval_non_linear05_bb0_in, eval_non_linear05_bb1_in, eval_non_linear05_bb2_in, eval_non_linear05_start, eval_non_linear05_stop
Transitions:
t₆: eval_non_linear05_.critedge_in(X₀, X₁, X₂, X₃) → eval_non_linear05_stop(X₀, X₁, X₂, X₃)
t₁: eval_non_linear05_bb0_in(X₀, X₁, X₂, X₃) → eval_non_linear05_bb1_in(X₂, X₃, X₂, X₃)
t₃: eval_non_linear05_bb1_in(X₀, X₁, X₂, X₃) → eval_non_linear05_.critedge_in(X₀, X₁, X₂, X₃) :|: 2⋅X₁ ≤ 3⋅X₀
t₄: eval_non_linear05_bb1_in(X₀, X₁, X₂, X₃) → eval_non_linear05_.critedge_in(X₀, X₁, X₂, X₃) :|: 2⋅X₀ ≤ X₁
t₂: eval_non_linear05_bb1_in(X₀, X₁, X₂, X₃) → eval_non_linear05_bb2_in(X₀, X₁, X₂, X₃) :|: 1+X₁ ≤ 2⋅X₀ ∧ 1+3⋅X₀ ≤ 2⋅X₁
t₅: eval_non_linear05_bb2_in(X₀, X₁, X₂, X₃) → eval_non_linear05_bb1_in(4⋅X₀-X₁, 2⋅X₀+X₁, X₂, X₃)
t₀: eval_non_linear05_start(X₀, X₁, X₂, X₃) → eval_non_linear05_bb0_in(X₀, X₁, X₂, X₃)

Preprocessing

Problem after Preprocessing

Start: eval_non_linear05_start
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars:
Locations: eval_non_linear05_.critedge_in, eval_non_linear05_bb0_in, eval_non_linear05_bb1_in, eval_non_linear05_bb2_in, eval_non_linear05_start, eval_non_linear05_stop
Transitions:
t₆: eval_non_linear05_.critedge_in(X₀, X₁, X₂, X₃) → eval_non_linear05_stop(X₀, X₁, X₂, X₃)
t₁: eval_non_linear05_bb0_in(X₀, X₁, X₂, X₃) → eval_non_linear05_bb1_in(X₂, X₃, X₂, X₃)
t₃: eval_non_linear05_bb1_in(X₀, X₁, X₂, X₃) → eval_non_linear05_.critedge_in(X₀, X₁, X₂, X₃) :|: 2⋅X₁ ≤ 3⋅X₀
t₄: eval_non_linear05_bb1_in(X₀, X₁, X₂, X₃) → eval_non_linear05_.critedge_in(X₀, X₁, X₂, X₃) :|: 2⋅X₀ ≤ X₁
t₂: eval_non_linear05_bb1_in(X₀, X₁, X₂, X₃) → eval_non_linear05_bb2_in(X₀, X₁, X₂, X₃) :|: 1+X₁ ≤ 2⋅X₀ ∧ 1+3⋅X₀ ≤ 2⋅X₁
t₅: eval_non_linear05_bb2_in(X₀, X₁, X₂, X₃) → eval_non_linear05_bb1_in(4⋅X₀-X₁, 2⋅X₀+X₁, X₂, X₃)
t₀: eval_non_linear05_start(X₀, X₁, X₂, X₃) → eval_non_linear05_bb0_in(X₀, X₁, X₂, X₃)

Found invariant X₃ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂ for location eval_non_linear05_bb1_in

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: inf {Infinity}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: inf {Infinity}
t₆: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: inf {Infinity}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: inf {Infinity}
t₆: 1 {O(1)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₁, X₀: X₂ {O(n)}
t₁, X₁: X₃ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₃, X₂: 2⋅X₂ {O(n)}
t₃, X₃: 2⋅X₃ {O(n)}
t₄, X₂: 2⋅X₂ {O(n)}
t₄, X₃: 2⋅X₃ {O(n)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: X₃ {O(n)}
t₆, X₂: 4⋅X₂ {O(n)}
t₆, X₃: 4⋅X₃ {O(n)}