Initial Problem

Start: eval_twn13_start
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: eval_twn13_bb0_in, eval_twn13_bb1_in, eval_twn13_bb2_in, eval_twn13_bb3_in, eval_twn13_start, eval_twn13_stop
Transitions:
t₁: eval_twn13_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_twn13_bb1_in(X₂, X₃, X₂, X₃, X₄) :|: 1+X₄ ≤ 0
t₂: eval_twn13_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_twn13_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₄
t₃: eval_twn13_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_twn13_bb2_in(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₀+(X₁)²
t₄: eval_twn13_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_twn13_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: X₀+(X₁)² ≤ 0
t₅: eval_twn13_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_twn13_bb1_in(X₀+(X₁)²*X₄, X₁-2⋅(X₄)², X₂, X₃, X₄)
t₆: eval_twn13_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_twn13_stop(X₀, X₁, X₂, X₃, X₄)
t₀: eval_twn13_start(X₀, X₁, X₂, X₃, X₄) → eval_twn13_bb0_in(X₀, X₁, X₂, X₃, X₄)

Preprocessing

Found invariant 1+X₄ ≤ 0 ∧ X₁ ≤ X₃ for location eval_twn13_bb1_in

Found invariant 1+X₄ ≤ 0 ∧ X₁ ≤ X₃ for location eval_twn13_bb2_in

Problem after Preprocessing

Start: eval_twn13_start
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: eval_twn13_bb0_in, eval_twn13_bb1_in, eval_twn13_bb2_in, eval_twn13_bb3_in, eval_twn13_start, eval_twn13_stop
Transitions:
t₁: eval_twn13_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_twn13_bb1_in(X₂, X₃, X₂, X₃, X₄) :|: 1+X₄ ≤ 0
t₂: eval_twn13_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_twn13_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: 0 ≤ X₄
t₃: eval_twn13_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_twn13_bb2_in(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₀+(X₁)² ∧ 1+X₄ ≤ 0 ∧ X₁ ≤ X₃
t₄: eval_twn13_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_twn13_bb3_in(X₀, X₁, X₂, X₃, X₄) :|: X₀+(X₁)² ≤ 0 ∧ 1+X₄ ≤ 0 ∧ X₁ ≤ X₃
t₅: eval_twn13_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_twn13_bb1_in(X₀+(X₁)²*X₄, X₁-2⋅(X₄)², X₂, X₃, X₄) :|: 1+X₄ ≤ 0 ∧ X₁ ≤ X₃
t₆: eval_twn13_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_twn13_stop(X₀, X₁, X₂, X₃, X₄)
t₀: eval_twn13_start(X₀, X₁, X₂, X₃, X₄) → eval_twn13_bb0_in(X₀, X₁, X₂, X₃, X₄)

Found invariant 1+X₄ ≤ 0 ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂ for location eval_twn13_bb1_in

Found invariant 1+X₄ ≤ 0 ∧ 2+X₁ ≤ X₃ for location eval_twn13_bb1_in_v1

Found invariant 1+X₄ ≤ 0 ∧ 2+X₁ ≤ X₃ for location eval_twn13_bb2_in_v2

Found invariant 1+X₄ ≤ 0 ∧ X₃ ≤ X₁ ∧ X₁ ≤ X₃ ∧ X₂ ≤ X₀ ∧ X₀ ≤ X₂ for location eval_twn13_bb2_in_v1

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: inf {Infinity}
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: 1 {O(1)}
t₃: inf {Infinity}
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)}
t₀, X₄: X₄ {O(n)}
t₁, X₀: X₂ {O(n)}
t₁, X₁: X₃ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: X₄ {O(n)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: X₃ {O(n)}
t₃, X₄: X₄ {O(n)}
t₄, X₂: 2⋅X₂ {O(n)}
t₄, X₃: 2⋅X₃ {O(n)}
t₄, X₄: 2⋅X₄ {O(n)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: X₃ {O(n)}
t₅, X₄: X₄ {O(n)}
t₆, X₂: 3⋅X₂ {O(n)}
t₆, X₃: 3⋅X₃ {O(n)}
t₆, X₄: 3⋅X₄ {O(n)}