Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: l0, l1
Transitions:
t₀: l0(X₀, X₁, X₂) → l1(X₀, X₁, X₂)
t₁: l1(X₀, X₁, X₂) → l1(2⋅X₀+X₁, 1+X₁, X₂) :|: 1 ≤ X₀ ∧ X₀ ≤ X₂

Preprocessing

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: l0, l1
Transitions:
t₀: l0(X₀, X₁, X₂) → l1(X₀, X₁, X₂)
t₁: l1(X₀, X₁, X₂) → l1(2⋅X₀+X₁, 1+X₁, X₂) :|: 1 ≤ X₀ ∧ X₀ ≤ X₂

MPRF for transition t₁: l1(X₀, X₁, X₂) → l1(2⋅X₀+X₁, 1+X₁, X₂) :|: 1 ≤ X₀ ∧ X₀ ≤ X₂ of depth 2:

new bound:

8⋅X₀+8⋅X₁+8⋅X₂+1 {O(n)}

• l1: [-X₁; X₂-X₀]

All Bounds

Timebounds

Overall timebound:8⋅X₀+8⋅X₁+8⋅X₂+2 {O(n)}
t₀: 1 {O(1)}
t₁: 8⋅X₀+8⋅X₁+8⋅X₂+1 {O(n)}

Costbounds

Overall costbound: 8⋅X₀+8⋅X₁+8⋅X₂+2 {O(n)}
t₀: 1 {O(1)}
t₁: 8⋅X₀+8⋅X₁+8⋅X₂+1 {O(n)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₁, X₀: 128⋅2^(8⋅X₀)⋅2^(8⋅X₁)⋅2^(8⋅X₂)⋅X₀⋅X₀+128⋅2^(8⋅X₀)⋅2^(8⋅X₁)⋅2^(8⋅X₂)⋅X₂⋅X₂+160⋅2^(8⋅X₀)⋅2^(8⋅X₁)⋅2^(8⋅X₂)⋅X₁⋅X₁+256⋅2^(8⋅X₀)⋅2^(8⋅X₁)⋅2^(8⋅X₂)⋅X₀⋅X₂+288⋅2^(8⋅X₀)⋅2^(8⋅X₁)⋅2^(8⋅X₂)⋅X₀⋅X₁+288⋅2^(8⋅X₀)⋅2^(8⋅X₁)⋅2^(8⋅X₂)⋅X₁⋅X₂+2^(8⋅X₀)⋅2^(8⋅X₁)⋅2^(8⋅X₂)⋅4+2^(8⋅X₀)⋅2^(8⋅X₁)⋅2^(8⋅X₂)⋅48⋅X₂+2^(8⋅X₀)⋅2^(8⋅X₁)⋅2^(8⋅X₂)⋅50⋅X₀+2^(8⋅X₀)⋅2^(8⋅X₁)⋅2^(8⋅X₂)⋅56⋅X₁ {O(EXP)}
t₁, X₁: 8⋅X₀+8⋅X₂+9⋅X₁+1 {O(n)}
t₁, X₂: X₂ {O(n)}