ExecutionLog
|
`- Expected Cost
   |
   +- [f]
   |    0
   |
   +- [Program]
   |    0:While(x  2)
   |        Choice
   |          1/3: x :~ {1 : -1 + x}
   |          2/3: x :~ {1 : -2 + x}
   |        Tick(1)
   |
   +- While.step
   |  |
   |  +- [Problem]
   |  |    0:While(x  2)
   |  |        Choice
   |  |          1/3: x :~ {1 : -1 + x}
   |  |          2/3: x :~ {1 : -2 + x}
   |  |        Tick(1)
   |  |
   |  +- [f]
   |  |    0
   |  |
   |  +- Expected Cost Body
   |  |  |
   |  |  `- [1 | ]
   |  |
   |  +- linear-template
   |  |  |
   |  |  `- 1 + [-1 + x | -1 + x  0]
   |  |
   |  +- [Norms]
   |  |    [[1 | ],[-1 + x | -1 + x  0]]
   |  |
   |  +- [Invariant]
   |  |    x  2 ==> [1 | ] + h([1 | ],1/3[-2 + x | -2 + x  0] + 2/3[-3 + x | -3 + x  0])  h([1 | ],[-1 + x | -1 + x  0])
   |  |    2  1 + x ==> 0  h([1 | ],[-1 + x | -1 + x  0])
   |  |
   |  `- [-1 + x | -1 + x  0]
   |
   `- [-1 + x | -1 + x  0]

[Success] [-1 + x | -1 + x  0]
Degree: 1