PRISM

Benchmark
Model:nand v.1 (DTMC)
Parameter(s)N = 40, K = 4
Property:reliable (prob-reach)
Invocation (default)
./fix-syntax ./prism -javamaxmem 11g -cuddmaxmem 4g -ii -e 5e-2 -heuristic speed -ddextraactionvars 100 -maxiters 1000000 nand.prism nand.props --property reliable -const N=40,K=4
Execution
Walltime:16.137356281280518s
Return code:0
Relative Error:6.50138676865112e-15
Log
PRISM
=====

Version: 4.5.dev
Date: Sat Mar 14 12:16:45 UTC 2020
Hostname: e72bdd194fc5
Memory limits: cudd=4g, java(heap)=11g
Command line: prism -javamaxmem 11g -cuddmaxmem 4g -ii -e 5e-2 -heuristic speed -ddextraactionvars 100 -maxiters 1000000 nand.prism nand.props --property reliable -const 'N=40,K=4'

Parsing model file "nand.prism"...

Type:        DTMC
Modules:     multiplex 
Variables:   u c s z zx zy x y 

Parsing properties file "nand.props"...

1 property:
(1) "reliable": P=? [ F s=4&z/N<0.1 ]

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Model checking: "reliable": P=? [ F s=4&z/N<0.1 ]
Model constants: N=40,K=4

Warning: Switching to sparse engine and (backwards) Gauss Seidel (default for heuristic=speed).

Building model...
Model constants: N=40,K=4

Computing reachable states...

Reachability (BFS): 1442 iterations in 4.69 seconds (average 0.003255, setup 0.00)

Time for model construction: 4.872 seconds.

Type:        DTMC
States:      3999522 (1 initial)
Transitions: 6288542

Transition matrix: 49073 nodes (493 terminal), 6288542 minterms, vars: 33r/33c

Prob0: 1442 iterations in 4.06 seconds (average 0.002818, setup 0.00)

Prob1: 1297 iterations in 3.69 seconds (average 0.002842, setup 0.00)

yes = 141, no = 375263, maybe = 3624118

Computing remaining probabilities...
Engine: Sparse

Building sparse matrix... [n=3999522, nnz=5699366, compact] [25.6 MB]
Creating vector for diagonals... [dist=1, compact] [7.6 MB]
Creating vector for RHS... [dist=2, compact] [7.6 MB]
Allocating iteration vectors... [ 2 x 30.5 MB]
TOTAL: [101.8 MB]

Starting iterations...
Max relative diff between upper and lower bound on convergence: 0
Backwards Gauss-Seidel (interval iteration): 1 iterations in 2.53 seconds (average 0.076000, setup 2.46)

Value in the initial state: 0.6186822208151961

Time for model checking: 10.527 seconds.

Result: 0.6186822208151961 (value in the initial state)


Overall running time: 15.96 seconds.

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Note: There was 1 warning during computation.