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Last data update: 2014.03.03

R: Uniform confidence bands (CB) for plrs models

plrs.cb

R Documentation

Uniform confidence bands (CB) for plrs models

Description

Determine uniform confidence intervals for predicted values of a 'plrs' model.

Usage

plrs.cb(object, alpha=0.05, newcgh=NULL)

Arguments

`object`	An object of class `plrs-class`.
`alpha`	Significance level
`newcgh`	Vector of segmented values. Support for building CB.

Details

The input object of class plrs-class has to result from function plrs.test.

The problem of finding (at a given x) a confidence interval for the mean response is expressed as a semi-definite optimization problem and solved using function csdp of package Rcsdp.

Value

An object of class plrs-class that contains CB information.

Author(s)

Gwenael G.R. Leday g.g.r.leday@vu.nl

References

Leday GGR, Van der Vaart AW, Van Wieringen WN, Van de Wiel MA. Modeling association between DNA copy number and gene expression with constrained piecewise linear regression splines. Accepted for publication. Ann Appl Stat. (2012).

Examples


# Simulate data
sim <- plrs.sim(n=80, states=4, sigma=0.5)

# Fit a model 
model <- plrs(expr=sim$expr, cghseg=sim$seg, cghcall=sim$cal)

# Confidence bands
model <- plrs.test(model)
model <- plrs.cb(model, alpha=0.05)
plot(model)

Results


R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> library(plrs)
Loading required package: Biobase
Loading required package: BiocGenerics
Loading required package: parallel

Attaching package: 'BiocGenerics'

The following objects are masked from 'package:parallel':

    clusterApply, clusterApplyLB, clusterCall, clusterEvalQ,
    clusterExport, clusterMap, parApply, parCapply, parLapply,
    parLapplyLB, parRapply, parSapply, parSapplyLB

The following objects are masked from 'package:stats':

    IQR, mad, xtabs

The following objects are masked from 'package:base':

    Filter, Find, Map, Position, Reduce, anyDuplicated, append,
    as.data.frame, cbind, colnames, do.call, duplicated, eval, evalq,
    get, grep, grepl, intersect, is.unsorted, lapply, lengths, mapply,
    match, mget, order, paste, pmax, pmax.int, pmin, pmin.int, rank,
    rbind, rownames, sapply, setdiff, sort, table, tapply, union,
    unique, unsplit

Welcome to Bioconductor

    Vignettes contain introductory material; view with
    'browseVignettes()'. To cite Bioconductor, see
    'citation("Biobase")', and for packages 'citation("pkgname")'.

> png(filename="/home/ddbj/snapshot/RGM3/R_BC/result/plrs/plrs.cb.Rd_%03d_medium.png", width=480, height=480)
> ### Name: plrs.cb
> ### Title: Uniform confidence bands (CB) for plrs models
> ### Aliases: plrs.cb
> 
> ### ** Examples
> 
> 
> # Simulate data
> sim <- plrs.sim(n=80, states=4, sigma=0.5)
> 
> # Fit a model 
> model <- plrs(expr=sim$expr, cghseg=sim$seg, cghcall=sim$cal)
> 
> # Confidence bands
> model <- plrs.test(model)
> model <- plrs.cb(model, alpha=0.05)
Iter:  0 Ap: 0.00e+00 Pobj: -5.1645348e+02 Ad: 0.00e+00 Dobj:  0.0000000e+00 
Iter:  1 Ap: 1.00e+00 Pobj: -8.3923134e+02 Ad: 7.84e-01 Dobj: -9.8527610e+00 
Iter:  2 Ap: 1.00e+00 Pobj: -7.9737203e+02 Ad: 9.51e-01 Dobj:  7.6260387e-02 
Iter:  3 Ap: 1.00e+00 Pobj: -3.2370703e+02 Ad: 1.00e+00 Dobj:  5.2040982e-01 
Iter:  4 Ap: 9.99e-01 Pobj: -1.6989695e+01 Ad: 1.00e+00 Dobj:  5.1030447e-01 
Iter:  5 Ap: 1.00e+00 Pobj: -3.2393593e+00 Ad: 1.00e+00 Dobj:  2.7218899e-01 
Iter:  6 Ap: 1.00e+00 Pobj: -1.4189512e+00 Ad: 9.43e-01 Dobj: -2.2588693e-01 
Iter:  7 Ap: 1.00e+00 Pobj: -6.2020250e-01 Ad: 1.00e+00 Dobj: -2.7546671e-01 
Iter:  8 Ap: 1.00e+00 Pobj: -4.5317821e-01 Ad: 1.00e+00 Dobj: -3.4998526e-01 
Iter:  9 Ap: 1.00e+00 Pobj: -3.8035166e-01 Ad: 1.00e+00 Dobj: -3.6470352e-01 
Iter: 10 Ap: 1.00e+00 Pobj: -3.7167997e-01 Ad: 1.00e+00 Dobj: -3.6783147e-01 
Iter: 11 Ap: 1.00e+00 Pobj: -3.6925507e-01 Ad: 1.00e+00 Dobj: -3.6848386e-01 
Iter: 12 Ap: 1.00e+00 Pobj: -3.6879208e-01 Ad: 1.00e+00 Dobj: -3.6863106e-01 
Iter: 13 Ap: 1.00e+00 Pobj: -3.6867072e-01 Ad: 1.00e+00 Dobj: -3.6866183e-01 
Iter: 14 Ap: 1.00e+00 Pobj: -3.6865046e-01 Ad: 1.00e+00 Dobj: -3.6866776e-01 
Iter: 15 Ap: 1.00e+00 Pobj: -3.6864753e-01 Ad: 1.00e+00 Dobj: -3.6864965e-01 
Iter: 16 Ap: 1.00e+00 Pobj: -3.6864694e-01 Ad: 1.00e+00 Dobj: -3.6864702e-01 
Iter: 17 Ap: 1.00e+00 Pobj: -3.6864681e-01 Ad: 1.00e+00 Dobj: -3.6864680e-01 
Iter: 18 Ap: 8.00e-01 Pobj: -3.6864679e-01 Ad: 8.04e-01 Dobj: -3.6864679e-01 
Success: SDP solved
Primal objective value: -3.6864679e-01 
Dual objective value: -3.6864679e-01 
Relative primal infeasibility: 7.69e-12 
Relative dual infeasibility: 3.02e-10 
Real Relative Gap: 3.72e-10 
XZ Relative Gap: 4.32e-09 
DIMACS error measures: 8.15e-12 0.00e+00 6.36e-10 0.00e+00 3.72e-10 4.32e-09
Iter:  0 Ap: 0.00e+00 Pobj: -5.1645348e+02 Ad: 0.00e+00 Dobj:  0.0000000e+00 
Iter:  1 Ap: 1.00e+00 Pobj: -8.4246375e+02 Ad: 7.85e-01 Dobj:  9.5183515e+00 
Iter:  2 Ap: 1.00e+00 Pobj: -8.0000993e+02 Ad: 9.51e-01 Dobj: -1.0625107e-01 
Iter:  3 Ap: 1.00e+00 Pobj: -3.2380489e+02 Ad: 1.00e+00 Dobj: -5.4817902e-01 
Iter:  4 Ap: 1.00e+00 Pobj: -1.8097903e+01 Ad: 1.00e+00 Dobj: -5.7488899e-01 
Iter:  5 Ap: 1.00e+00 Pobj: -4.4836768e+00 Ad: 1.00e+00 Dobj: -8.5318409e-01 
Iter:  6 Ap: 1.00e+00 Pobj: -2.8198420e+00 Ad: 1.00e+00 Dobj: -1.3922541e+00 
Iter:  7 Ap: 1.00e+00 Pobj: -1.8613319e+00 Ad: 1.00e+00 Dobj: -1.5016851e+00 
Iter:  8 Ap: 1.00e+00 Pobj: -1.6598869e+00 Ad: 1.00e+00 Dobj: -1.5599035e+00 
Iter:  9 Ap: 1.00e+00 Pobj: -1.6045334e+00 Ad: 1.00e+00 Dobj: -1.5823095e+00 
Iter: 10 Ap: 1.00e+00 Pobj: -1.5919936e+00 Ad: 1.00e+00 Dobj: -1.5870773e+00 
Iter: 11 Ap: 1.00e+00 Pobj: -1.5894127e+00 Ad: 1.00e+00 Dobj: -1.5882651e+00 
Iter: 12 Ap: 1.00e+00 Pobj: -1.5887678e+00 Ad: 1.00e+00 Dobj: -1.5885275e+00 
Iter: 13 Ap: 1.00e+00 Pobj: -1.5886295e+00 Ad: 1.00e+00 Dobj: -1.5885875e+00 
Iter: 14 Ap: 1.00e+00 Pobj: -1.5885952e+00 Ad: 1.00e+00 Dobj: -1.5886004e+00 
Iter: 15 Ap: 1.00e+00 Pobj: -1.5885882e+00 Ad: 1.00e+00 Dobj: -1.5885889e+00 
Iter: 16 Ap: 1.00e+00 Pobj: -1.5885872e+00 Ad: 1.00e+00 Dobj: -1.5885870e+00 
Iter: 17 Ap: 1.00e+00 Pobj: -1.5885870e+00 Ad: 1.00e+00 Dobj: -1.5885870e+00 
Iter: 18 Ap: 7.99e-01 Pobj: -1.5885870e+00 Ad: 8.07e-01 Dobj: -1.5885870e+00 
Success: SDP solved
Primal objective value: -1.5885870e+00 
Dual objective value: -1.5885870e+00 
Relative primal infeasibility: 1.01e-12 
Relative dual infeasibility: 1.69e-10 
Real Relative Gap: 2.42e-09 
XZ Relative Gap: 3.12e-09 
DIMACS error measures: 1.07e-12 0.00e+00 3.55e-10 0.00e+00 2.42e-09 3.12e-09
Iter:  0 Ap: 0.00e+00 Pobj: -5.1645348e+02 Ad: 0.00e+00 Dobj:  0.0000000e+00 
Iter:  1 Ap: 1.00e+00 Pobj: -8.3924367e+02 Ad: 7.84e-01 Dobj: -9.4367011e+00 
Iter:  2 Ap: 1.00e+00 Pobj: -7.9737270e+02 Ad: 9.51e-01 Dobj:  1.2255907e-01 
Iter:  3 Ap: 1.00e+00 Pobj: -3.2365166e+02 Ad: 1.00e+00 Dobj:  5.4803984e-01 
Iter:  4 Ap: 9.99e-01 Pobj: -1.6888691e+01 Ad: 1.00e+00 Dobj:  5.3871756e-01 
Iter:  5 Ap: 1.00e+00 Pobj: -3.1105714e+00 Ad: 1.00e+00 Dobj:  3.1532292e-01 
Iter:  6 Ap: 1.00e+00 Pobj: -1.3447306e+00 Ad: 9.41e-01 Dobj: -1.6994170e-01 
Iter:  7 Ap: 1.00e+00 Pobj: -5.5644498e-01 Ad: 1.00e+00 Dobj: -2.1802214e-01 
Iter:  8 Ap: 1.00e+00 Pobj: -3.9268066e-01 Ad: 1.00e+00 Dobj: -2.9099926e-01 
Iter:  9 Ap: 1.00e+00 Pobj: -3.2084744e-01 Ad: 1.00e+00 Dobj: -3.0543422e-01 
Iter: 10 Ap: 1.00e+00 Pobj: -3.1230565e-01 Ad: 1.00e+00 Dobj: -3.0851401e-01 
Iter: 11 Ap: 1.00e+00 Pobj: -3.0991711e-01 Ad: 1.00e+00 Dobj: -3.0915671e-01 
Iter: 12 Ap: 1.00e+00 Pobj: -3.0946119e-01 Ad: 1.00e+00 Dobj: -3.0930179e-01 
Iter: 13 Ap: 1.00e+00 Pobj: -3.0934161e-01 Ad: 1.00e+00 Dobj: -3.0933211e-01 
Iter: 14 Ap: 1.00e+00 Pobj: -3.0932154e-01 Ad: 1.00e+00 Dobj: -3.0933799e-01 
Iter: 15 Ap: 1.00e+00 Pobj: -3.0931863e-01 Ad: 1.00e+00 Dobj: -3.0932091e-01 
Iter: 16 Ap: 1.00e+00 Pobj: -3.0931805e-01 Ad: 1.00e+00 Dobj: -3.0931815e-01 
Iter: 17 Ap: 1.00e+00 Pobj: -3.0931793e-01 Ad: 1.00e+00 Dobj: -3.0931792e-01 
Iter: 18 Ap: 8.01e-01 Pobj: -3.0931791e-01 Ad: 8.04e-01 Dobj: -3.0931791e-01 
Success: SDP solved
Primal objective value: -3.0931791e-01 
Dual objective value: -3.0931791e-01 
Relative primal infeasibility: 4.63e-12 
Relative dual infeasibility: 3.29e-10 
Real Relative Gap: 1.44e-10 
XZ Relative Gap: 4.58e-09 
DIMACS error measures: 4.88e-12 0.00e+00 6.93e-10 0.00e+00 1.44e-10 4.58e-09
Iter:  0 Ap: 0.00e+00 Pobj: -5.1645348e+02 Ad: 0.00e+00 Dobj:  0.0000000e+00 
Iter:  1 Ap: 1.00e+00 Pobj: -8.4245126e+02 Ad: 7.85e-01 Dobj:  9.1278820e+00 
Iter:  2 Ap: 1.00e+00 Pobj: -8.0000901e+02 Ad: 9.51e-01 Dobj: -1.5032910e-01 
Iter:  3 Ap: 1.00e+00 Pobj: -3.2385799e+02 Ad: 1.00e+00 Dobj: -5.7386445e-01 
Iter:  4 Ap: 1.00e+00 Pobj: -1.8052044e+01 Ad: 1.00e+00 Dobj: -5.9892269e-01 
Iter:  5 Ap: 1.00e+00 Pobj: -4.4246854e+00 Ad: 1.00e+00 Dobj: -8.6144913e-01 
Iter:  6 Ap: 1.00e+00 Pobj: -2.8156826e+00 Ad: 1.00e+00 Dobj: -1.3984299e+00 
Iter:  7 Ap: 1.00e+00 Pobj: -1.8541744e+00 Ad: 1.00e+00 Dobj: -1.5024865e+00 
Iter:  8 Ap: 1.00e+00 Pobj: -1.6591906e+00 Ad: 1.00e+00 Dobj: -1.5606030e+00 
Iter:  9 Ap: 1.00e+00 Pobj: -1.6041035e+00 Ad: 1.00e+00 Dobj: -1.5824318e+00 
Iter: 10 Ap: 1.00e+00 Pobj: -1.5919474e+00 Ad: 1.00e+00 Dobj: -1.5871068e+00 
Iter: 11 Ap: 1.00e+00 Pobj: -1.5893956e+00 Ad: 1.00e+00 Dobj: -1.5882703e+00 
Iter: 12 Ap: 1.00e+00 Pobj: -1.5887653e+00 Ad: 1.00e+00 Dobj: -1.5885285e+00 
Iter: 13 Ap: 1.00e+00 Pobj: -1.5886287e+00 Ad: 1.00e+00 Dobj: -1.5885873e+00 
Iter: 14 Ap: 1.00e+00 Pobj: -1.5885951e+00 Ad: 1.00e+00 Dobj: -1.5886000e+00 
Iter: 15 Ap: 1.00e+00 Pobj: -1.5885882e+00 Ad: 1.00e+00 Dobj: -1.5885888e+00 
Iter: 16 Ap: 1.00e+00 Pobj: -1.5885872e+00 Ad: 1.00e+00 Dobj: -1.5885870e+00 
Iter: 17 Ap: 1.00e+00 Pobj: -1.5885870e+00 Ad: 1.00e+00 Dobj: -1.5885870e+00 
Iter: 18 Ap: 7.99e-01 Pobj: -1.5885870e+00 Ad: 8.07e-01 Dobj: -1.5885870e+00 
Success: SDP solved
Primal objective value: -1.5885870e+00 
Dual objective value: -1.5885870e+00 
Relative primal infeasibility: 8.89e-13 
Relative dual infeasibility: 1.64e-10 
Real Relative Gap: 2.40e-09 
XZ Relative Gap: 3.06e-09 
DIMACS error measures: 9.36e-13 0.00e+00 3.46e-10 0.00e+00 2.40e-09 3.06e-09
Iter:  0 Ap: 0.00e+00 Pobj: -5.1645348e+02 Ad: 0.00e+00 Dobj:  0.0000000e+00 
Iter:  1 Ap: 1.00e+00 Pobj: -8.3925601e+02 Ad: 7.84e-01 Dobj: -9.0211590e+00 
Iter:  2 Ap: 1.00e+00 Pobj: -7.9737339e+02 Ad: 9.51e-01 Dobj:  1.6881270e-01 
Iter:  3 Ap: 1.00e+00 Pobj: -3.2359635e+02 Ad: 1.00e+00 Dobj:  5.7563196e-01 
Iter:  4 Ap: 9.99e-01 Pobj: -1.6787987e+01 Ad: 1.00e+00 Dobj:  5.6705475e-01 
Iter:  5 Ap: 1.00e+00 Pobj: -2.9810266e+00 Ad: 1.00e+00 Dobj:  3.5794798e-01 
Iter:  6 Ap: 1.00e+00 Pobj: -1.2694858e+00 Ad: 9.39e-01 Dobj: -1.1414537e-01 
Iter:  7 Ap: 1.00e+00 Pobj: -4.9253390e-01 Ad: 1.00e+00 Dobj: -1.6069023e-01 
Iter:  8 Ap: 1.00e+00 Pobj: -3.3217015e-01 Ad: 1.00e+00 Dobj: -2.3207447e-01 
Iter:  9 Ap: 1.00e+00 Pobj: -2.6138112e-01 Ad: 1.00e+00 Dobj: -2.4621353e-01 
Iter: 10 Ap: 1.00e+00 Pobj: -2.5297523e-01 Ad: 1.00e+00 Dobj: -2.4924308e-01 
Iter: 11 Ap: 1.00e+00 Pobj: -2.5062464e-01 Ad: 1.00e+00 Dobj: -2.4987562e-01 
Iter: 12 Ap: 1.00e+00 Pobj: -2.5017611e-01 Ad: 1.00e+00 Dobj: -2.5001848e-01 
Iter: 13 Ap: 1.00e+00 Pobj: -2.5005840e-01 Ad: 1.00e+00 Dobj: -2.5004833e-01 
Iter: 14 Ap: 1.00e+00 Pobj: -2.5003854e-01 Ad: 1.00e+00 Dobj: -2.5005414e-01 
Iter: 15 Ap: 1.00e+00 Pobj: -2.5003567e-01 Ad: 1.00e+00 Dobj: -2.5003813e-01 
Iter: 16 Ap: 1.00e+00 Pobj: -2.5003510e-01 Ad: 1.00e+00 Dobj: -2.5003522e-01 
Iter: 17 Ap: 1.00e+00 Pobj: -2.5003498e-01 Ad: 1.00e+00 Dobj: -2.5003497e-01 
Iter: 18 Ap: 8.01e-01 Pobj: -2.5003496e-01 Ad: 8.04e-01 Dobj: -2.5003496e-01 
Success: SDP solved
Primal objective value: -2.5003496e-01 
Dual objective value: -2.5003496e-01 
Relative primal infeasibility: 3.23e-12 
Relative dual infeasibility: 3.61e-10 
Real Relative Gap: -1.57e-10 
XZ Relative Gap: 4.87e-09 
DIMACS error measures: 3.38e-12 0.00e+00 7.60e-10 0.00e+00 -1.57e-10 4.87e-09
Iter:  0 Ap: 0.00e+00 Pobj: -5.1645348e+02 Ad: 0.00e+00 Dobj:  0.0000000e+00 
Iter:  1 Ap: 1.00e+00 Pobj: -8.4243901e+02 Ad: 7.85e-01 Dobj:  8.7369079e+00 
Iter:  2 Ap: 1.00e+00 Pobj: -8.0000838e+02 Ad: 9.51e-01 Dobj: -1.9445160e-01 
Iter:  3 Ap: 1.00e+00 Pobj: -3.2391136e+02 Ad: 1.00e+00 Dobj: -5.9958710e-01 
Iter:  4 Ap: 1.00e+00 Pobj: -1.8009209e+01 Ad: 1.00e+00 Dobj: -6.2304349e-01 
Iter:  5 Ap: 1.00e+00 Pobj: -4.3656482e+00 Ad: 1.00e+00 Dobj: -8.7011778e-01 
Iter:  6 Ap: 1.00e+00 Pobj: -2.8110934e+00 Ad: 1.00e+00 Dobj: -1.4047301e+00 
Iter:  7 Ap: 1.00e+00 Pobj: -1.8468147e+00 Ad: 1.00e+00 Dobj: -1.5032922e+00 
Iter:  8 Ap: 1.00e+00 Pobj: -1.6585277e+00 Ad: 1.00e+00 Dobj: -1.5613149e+00 
Iter:  9 Ap: 1.00e+00 Pobj: -1.6036629e+00 Ad: 1.00e+00 Dobj: -1.5825575e+00 
Iter: 10 Ap: 1.00e+00 Pobj: -1.5918989e+00 Ad: 1.00e+00 Dobj: -1.5871376e+00 
Iter: 11 Ap: 1.00e+00 Pobj: -1.5893777e+00 Ad: 1.00e+00 Dobj: -1.5882757e+00 
Iter: 12 Ap: 1.00e+00 Pobj: -1.5887627e+00 Ad: 1.00e+00 Dobj: -1.5885295e+00 
Iter: 13 Ap: 1.00e+00 Pobj: -1.5886278e+00 Ad: 1.00e+00 Dobj: -1.5885872e+00 
Iter: 14 Ap: 1.00e+00 Pobj: -1.5885949e+00 Ad: 1.00e+00 Dobj: -1.5885996e+00 
Iter: 15 Ap: 1.00e+00 Pobj: -1.5885882e+00 Ad: 1.00e+00 Dobj: -1.5885886e+00 
Iter: 16 Ap: 1.00e+00 Pobj: -1.5885872e+00 Ad: 1.00e+00 Dobj: -1.5885870e+00 
Iter: 17 Ap: 1.00e+00 Pobj: -1.5885870e+00 Ad: 1.00e+00 Dobj: -1.5885870e+00 
Iter: 18 Ap: 7.99e-01 Pobj: -1.5885870e+00 Ad: 8.07e-01 Dobj: -1.5885870e+00 
Success: SDP solved
Primal objective value: -1.5885870e+00 
Dual objective value: -1.5885870e+00 
Relative primal infeasibility: 1.20e-12 
Relative dual infeasibility: 1.60e-10 
Real Relative Gap: 2.38e-09 
XZ Relative Gap: 3.01e-09 
DIMACS error measures: 1.26e-12 0.00e+00 3.36e-10 0.00e+00 2.38e-09 3.01e-09
Iter:  0 Ap: 0.00e+00 Pobj: -5.1645348e+02 Ad: 0.00e+00 Dobj:  0.0000000e+00 
Iter:  1 Ap: 1.00e+00 Pobj: -8.3926835e+02 Ad: 7.84e-01 Dobj: -8.6061344e+00 
Iter:  2 Ap: 1.00e+00 Pobj: -7.9737407e+02 Ad: 9.51e-01 Dobj:  2.1502130e-01 
Iter:  3 Ap: 1.00e+00 Pobj: -3.2354109e+02 Ad: 1.00e+00 Dobj:  6.0318620e-01 
Iter:  4 Ap: 9.98e-01 Pobj: -1.6687623e+01 Ad: 1.00e+00 Dobj:  5.9531600e-01 
Iter:  5 Ap: 1.00e+00 Pobj: -2.8507050e+00 Ad: 1.00e+00 Dobj:  4.0005405e-01 
Iter:  6 Ap: 1.00e+00 Pobj: -1.1931627e+00 Ad: 9.38e-01 Dobj: -5.8506477e-02 
Iter:  7 Ap: 1.00e+00 Pobj: -4.2846296e-01 Ad: 1.00e+00 Dobj: -1.0347919e-01 
Iter:  8 Ap: 1.00e+00 Pobj: -2.7164849e-01 Ad: 1.00e+00 Dobj: -1.7321690e-01 
Iter:  9 Ap: 1.00e+00 Pobj: -2.0195742e-01 Ad: 1.00e+00 Dobj: -1.8704680e-01 
Iter: 10 Ap: 1.00e+00 Pobj: -1.9369378e-01 Ad: 1.00e+00 Dobj: -1.9002387e-01 
Iter: 11 Ap: 1.00e+00 Pobj: -1.9138282e-01 Ad: 1.00e+00 Dobj: -1.9064579e-01 
Iter: 12 Ap: 1.00e+00 Pobj: -1.9094202e-01 Ad: 1.00e+00 Dobj: -1.9078630e-01 
Iter: 13 Ap: 1.00e+00 Pobj: -1.9082628e-01 Ad: 1.00e+00 Dobj: -1.9081566e-01 
Iter: 14 Ap: 1.00e+00 Pobj: -1.9080664e-01 Ad: 1.00e+00 Dobj: -1.9082139e-01 
Iter: 15 Ap: 1.00e+00 Pobj: -1.9080381e-01 Ad: 1.00e+00 Dobj: -1.9080648e-01 
Iter: 16 Ap: 1.00e+00 Pobj: -1.9080325e-01 Ad: 1.00e+00 Dobj: -1.9080339e-01 
Iter: 17 Ap: 1.00e+00 Pobj: -1.9080313e-01 Ad: 1.00e+00 Dobj: -1.9080313e-01 
Iter: 18 Ap: 8.01e-01 Pobj: -1.9080311e-01 Ad: 8.04e-01 Dobj: -1.9080311e-01 
Success: SDP solved
Primal objective value: -1.9080311e-01 
Dual objective value: -1.9080311e-01 
Relative primal infeasibility: 7.14e-12 
Relative dual infeasibility: 3.99e-10 
Real Relative Gap: -5.55e-10 
XZ Relative Gap: 5.20e-09 
DIMACS error measures: 7.42e-12 0.00e+00 8.40e-10 0.00e+00 -5.55e-10 5.20e-09
Iter:  0 Ap: 0.00e+00 Pobj: -5.1645348e+02 Ad: 0.00e+00 Dobj:  0.0000000e+00 
Iter:  1 Ap: 1.00e+00 Pobj: -8.4242629e+02 Ad: 7.85e-01 Dobj:  8.3454199e+00 
Iter:  2 Ap: 1.00e+00 Pobj: -8.0000719e+02 Ad: 9.51e-01 Dobj: -2.3861846e-01 
Iter:  3 Ap: 1.00e+00 Pobj: -3.2396433e+02 Ad: 1.00e+00 Dobj: -6.2534696e-01 
Iter:  4 Ap: 9.99e-01 Pobj: -1.7968187e+01 Ad: 1.00e+00 Dobj: -6.4725151e-01 
Iter:  5 Ap: 1.00e+00 Pobj: -4.3064829e+00 Ad: 1.00e+00 Dobj: -8.7922092e-01 
Iter:  6 Ap: 1.00e+00 Pobj: -2.8059966e+00 Ad: 1.00e+00 Dobj: -1.4111554e+00 
Iter:  7 Ap: 1.00e+00 Pobj: -1.8392439e+00 Ad: 1.00e+00 Dobj: -1.5040905e+00 
Iter:  8 Ap: 1.00e+00 Pobj: -1.6579090e+00 Ad: 1.00e+00 Dobj: -1.5620443e+00 
Iter:  9 Ap: 1.00e+00 Pobj: -1.6032085e+00 Ad: 1.00e+00 Dobj: -1.5826874e+00 
Iter: 10 Ap: 1.00e+00 Pobj: -1.5918476e+00 Ad: 1.00e+00 Dobj: -1.5871701e+00 
Iter: 11 Ap: 1.00e+00 Pobj: -1.5893587e+00 Ad: 1.00e+00 Dobj: -1.5882814e+00 
Iter: 12 Ap: 1.00e+00 Pobj: -1.5887599e+00 Ad: 1.00e+00 Dobj: -1.5885307e+00 
Iter: 13 Ap: 1.00e+00 Pobj: -1.5886269e+00 Ad: 1.00e+00 Dobj: -1.5885871e+00 
Iter: 14 Ap: 1.00e+00 Pobj: -1.5885948e+00 Ad: 1.00e+00 Dobj: -1.5885993e+00 
Iter: 15 Ap: 1.00e+00 Pobj: -1.5885881e+00 Ad: 1.00e+00 Dobj: -1.5885885e+00 
Iter: 16 Ap: 1.00e+00 Pobj: -1.5885872e+00 Ad: 1.00e+00 Dobj: -1.5885870e+00 
Iter: 17 Ap: 1.00e+00 Pobj: -1.5885870e+00 Ad: 1.00e+00 Dobj: -1.5885870e+00 
Iter: 18 Ap: 7.99e-01 Pobj: -1.5885870e+00 Ad: 8.07e-01 Dobj: -1.5885870e+00 
Success: SDP solved
Primal objective value: -1.5885870e+00 
Dual objective value: -1.5885870e+00 
Relative primal infeasibility: 1.10e-12 
Relative dual infeasibility: 1.55e-10 
Real Relative Gap: 2.36e-09 
XZ Relative Gap: 2.94e-09 
DIMACS error measures: 1.14e-12 0.00e+00 3.26e-10 0.00e+00 2.36e-09 2.94e-09
Iter:  0 Ap: 0.00e+00 Pobj: -5.1645348e+02 Ad: 0.00e+00 Dobj:  0.0000000e+00 
Iter:  1 Ap: 1.00e+00 Pobj: -8.3928070e+02 Ad: 7.84e-01 Dobj: -8.1916271e+00 
Iter:  2 Ap: 1.00e+00 Pobj: -7.9737476e+02 Ad: 9.51e-01 Dobj:  2.6118488e-01 
Iter:  3 Ap: 1.00e+00 Pobj: -3.2348589e+02 Ad: 1.00e+00 Dobj:  6.3070255e-01 
Iter:  4 Ap: 9.98e-01 Pobj: -1.6587602e+01 Ad: 1.00e+00 Dobj:  6.2350129e-01 
Iter:  5 Ap: 1.00e+00 Pobj: -2.7195828e+00 Ad: 1.00e+00 Dobj:  4.4163062e-01 
Iter:  6 Ap: 1.00e+00 Pobj: -1.1157023e+00 Ad: 9.36e-01 Dobj: -3.0346549e-03 
Iter:  7 Ap: 1.00e+00 Pobj: -3.6422329e-01 Ad: 1.00e+00 Dobj: -4.6398804e-02 
Iter:  8 Ap: 1.00e+00 Pobj: -2.1111772e-01 Ad: 1.00e+00 Dobj: -1.1443351e-01 
Iter:  9 Ap: 1.00e+00 Pobj: -1.4258173e-01 Ad: 1.00e+00 Dobj: -1.2794018e-01 
Iter: 10 Ap: 1.00e+00 Pobj: -1.3446712e-01 Ad: 1.00e+00 Dobj: -1.3086242e-01 
Iter: 11 Ap: 1.00e+00 Pobj: -1.3219758e-01 Ad: 1.00e+00 Dobj: -1.3147318e-01 
Iter: 12 Ap: 1.00e+00 Pobj: -1.3176488e-01 Ad: 1.00e+00 Dobj: -1.3161122e-01 
Iter: 13 Ap: 1.00e+00 Pobj: -1.3165121e-01 Ad: 1.00e+00 Dobj: -1.3164007e-01 
Iter: 14 Ap: 1.00e+00 Pobj: -1.3163182e-01 Ad: 1.00e+00 Dobj: -1.3164573e-01 
Iter: 15 Ap: 1.00e+00 Pobj: -1.3162903e-01 Ad: 1.00e+00 Dobj: -1.3163195e-01 
Iter: 16 Ap: 1.00e+00 Pobj: -1.3162847e-01 Ad: 1.00e+00 Dobj: -1.3162864e-01 
Iter: 17 Ap: 1.00e+00 Pobj: -1.3162836e-01 Ad: 1.00e+00 Dobj: -1.3162836e-01 
Iter: 18 Ap: 8.01e-01 Pobj: -1.3162834e-01 Ad: 8.04e-01 Dobj: -1.3162834e-01 
Success: SDP solved
Primal objective value: -1.3162834e-01 
Dual objective value: -1.3162834e-01 
Relative primal infeasibility: 5.86e-12 
Relative dual infeasibility: 4.45e-10 
Real Relative Gap: -1.08e-09 
XZ Relative Gap: 5.59e-09 
DIMACS error measures: 6.06e-12 0.00e+00 9.36e-10 0.00e+00 -1.08e-09 5.59e-09
Iter:  0 Ap: 0.00e+00 Pobj: -5.1645348e+02 Ad: 0.00e+00 Dobj:  0.0000000e+00 
Iter:  1 Ap: 1.00e+00 Pobj: -8.4241380e+02 Ad: 7.85e-01 Dobj:  7.9534268e+00 
Iter:  2 Ap: 1.00e+00 Pobj: -8.0000629e+02 Ad: 9.51e-01 Dobj: -2.8282982e-01 
Iter:  3 Ap: 1.00e+00 Pobj: -3.2401757e+02 Ad: 1.00e+00 Dobj: -6.5114407e-01 
Iter:  4 Ap: 9.99e-01 Pobj: -1.7929158e+01 Ad: 1.00e+00 Dobj: -6.7154689e-01 
Iter:  5 Ap: 1.00e+00 Pobj: -4.2472265e+00 Ad: 1.00e+00 Dobj: -8.8877433e-01 
Iter:  6 Ap: 1.00e+00 Pobj: -2.8003575e+00 Ad: 9.99e-01 Dobj: -1.4173851e+00 
Iter:  7 Ap: 1.00e+00 Pobj: -1.8317033e+00 Ad: 1.00e+00 Dobj: -1.5048437e+00 
Iter:  8 Ap: 1.00e+00 Pobj: -1.6573489e+00 Ad: 1.00e+00 Dobj: -1.5627818e+00 
Iter:  9 Ap: 1.00e+00 Pobj: -1.6027488e+00 Ad: 1.00e+00 Dobj: -1.5828193e+00 
Iter: 10 Ap: 1.00e+00 Pobj: -1.5917941e+00 Ad: 1.00e+00 Dobj: -1.5872038e+00 
Iter: 11 Ap: 1.00e+00 Pobj: -1.5893390e+00 Ad: 1.00e+00 Dobj: -1.5882875e+00 
Iter: 12 Ap: 1.00e+00 Pobj: -1.5887569e+00 Ad: 1.00e+00 Dobj: -1.5885319e+00 
Iter: 13 Ap: 1.00e+00 Pobj: -1.5886259e+00 Ad: 1.00e+00 Dobj: -1.5885870e+00 
Iter: 14 Ap: 1.00e+00 Pobj: -1.5885946e+00 Ad: 1.00e+00 Dobj: -1.5885989e+00 
Iter: 15 Ap: 1.00e+00 Pobj: -1.5885881e+00 Ad: 1.00e+00 Dobj: -1.5885884e+00 
Iter: 16 Ap: 1.00e+00 Pobj: -1.5885872e+00 Ad: 1.00e+00 Dobj: -1.5885870e+00 
Iter: 17 Ap: 1.00e+00 Pobj: -1.5885870e+00 Ad: 1.00e+00 Dobj: -1.5885870e+00 
Iter: 18 Ap: 7.98e-01 Pobj: -1.5885870e+00 Ad: 8.07e-01 Dobj: -1.5885870e+00 
Success: SDP solved
Primal objective value: -1.5885870e+00 
Dual objective value: -1.5885870e+00 
Relative primal infeasibility: 1.47e-12 
Relative dual infeasibility: 1.50e-10 
Real Relative Gap: 2.32e-09 
XZ Relative Gap: 2.88e-09 
DIMACS error measures: 1.52e-12 0.00e+00 3.16e-10 0.00e+00 2.32e-09 2.88e-09
Iter:  0 Ap: 0.00e+00 Pobj: -5.1645348e+02 Ad: 0.00e+00 Dobj:  0.0000000e+00 
Iter:  1 Ap: 1.00e+00 Pobj: -8.3929304e+02 Ad: 7.84e-01 Dobj: -7.7776370e+00 
Iter:  2 Ap: 1.00e+00 Pobj: -7.9737546e+02 Ad: 9.51e-01 Dobj:  3.0730345e-01 
Iter:  3 Ap: 1.00e+00 Pobj: -3.2343074e+02 Ad: 1.00e+00 Dobj:  6.5818105e-01 
Iter:  4 Ap: 9.98e-01 Pobj: -1.6487841e+01 Ad: 1.00e+00 Dobj:  6.5161056e-01 
Iter:  5 Ap: 1.00e+00 Pobj: -2.5876263e+00 Ad: 1.00e+00 Dobj:  4.8266642e-01 
Iter:  6 Ap: 1.00e+00 Pobj: -1.0370387e+00 Ad: 9.34e-01 Dobj:  5.2258986e-02 
Iter:  7 Ap: 1.00e+00 Pobj: -2.9980606e-01 Ad: 1.00e+00 Dobj:  1.0539784e-02 
Iter:  8 Ap: 1.00e+00 Pobj: -1.5058010e-01 Ad: 1.00e+00 Dobj: -5.5732406e-02 
Iter:  9 Ap: 1.00e+00 Pobj: -8.3260350e-02 Ad: 1.00e+00 Dobj: -6.8900814e-02 
Iter: 10 Ap: 1.00e+00 Pobj: -7.5301998e-02 Ad: 1.00e+00 Dobj: -7.1765711e-02 
Iter: 11 Ap: 1.00e+00 Pobj: -7.3075832e-02 Ad: 1.00e+00 Dobj: -7.2364752e-02 
Iter: 12 Ap: 1.00e+00 Pobj: -7.2651615e-02 Ad: 1.00e+00 Dobj: -7.2500198e-02 
Iter: 13 Ap: 1.00e+00 Pobj: -7.2540122e-02 Ad: 1.00e+00 Dobj: -7.2528501e-02 
Iter: 14 Ap: 1.00e+00 Pobj: -7.2520999e-02 Ad: 1.00e+00 Dobj: -7.2534072e-02 
Iter: 15 Ap: 1.00e+00 Pobj: -7.2518256e-02 Ad: 1.00e+00 Dobj: -7.2521482e-02 
Iter: 16 Ap: 1.00e+00 Pobj: -7.2517711e-02 Ad: 1.00e+00 Dobj: -7.2517901e-02 
Iter: 17 Ap: 1.00e+00 Pobj: -7.2517598e-02 Ad: 1.00e+00 Dobj: -7.2517597e-02 
Iter: 18 Ap: 8.02e-01 Pobj: -7.2517576e-02 Ad: 8.04e-01 Dobj: -7.2517578e-02 
Success: SDP solved
Primal objective value: -7.2517576e-02 
Dual objective value: -7.2517578e-02 
Relative primal infeasibility: 3.36e-12 
Relative dual infeasibility: 5.01e-10 
Real Relative Gap: -1.84e-09 
XZ Relative Gap: 6.05e-09 
DIMACS error measures: 3.45e-12 0.00e+00 1.06e-09 0.00e+00 -1.84e-09 6.05e-09
Iter:  0 Ap: 0.00e+00 Pobj: -5.1645348e+02 Ad: 0.00e+00 Dobj:  0.0000000e+00 
Iter:  1 Ap: 1.00e+00 Pobj: -8.4240133e+02 Ad: 7.85e-01 Dobj:  7.5609255e+00 
Iter:  2 Ap: 1.00e+00 Pobj: -8.0000539e+02 Ad: 9.51e-01 Dobj: -3.2708565e-01 
Iter:  3 Ap: 1.00e+00 Pobj: -3.2407086e+02 Ad: 1.00e+00 Dobj: -6.7697845e-01 
Iter:  4 Ap: 9.99e-01 Pobj: -1.7892220e+01 Ad: 1.00e+00 Dobj: -6.9592975e-01 
Iter:  5 Ap: 1.00e+00 Pobj: -4.1879151e+00 Ad: 1.00e+00 Dobj: -8.9879522e-01 
Iter:  6 Ap: 1.00e+00 Pobj: -2.7941362e+00 Ad: 9.95e-01 Dobj: -1.4217043e+00 
Iter:  7 Ap: 1.00e+00 Pobj: -1.8254650e+00 Ad: 1.00e+00 Dobj: -1.5054489e+00 
Iter:  8 Ap: 1.00e+00 Pobj: -1.6569844e+00 Ad: 1.00e+00 Dobj: -1.5634008e+00 
Iter:  9 Ap: 1.00e+00 Pobj: -1.6023582e+00 Ad: 1.00e+00 Dobj: -1.5829325e+00 
Iter: 10 Ap: 1.00e+00 Pobj: -1.5917472e+00 Ad: 1.00e+00 Dobj: -1.5872331e+00 
Iter: 11 Ap: 1.00e+00 Pobj: -1.5893218e+00 Ad: 1.00e+00 Dobj: -1.5882927e+00 
Iter: 12 Ap: 1.00e+00 Pobj: -1.5887543e+00 Ad: 1.00e+00 Dobj: -1.5885329e+00 
Iter: 13 Ap: 1.00e+00 Pobj: -1.5886250e+00 Ad: 1.00e+00 Dobj: -1.5885868e+00 
Iter: 14 Ap: 1.00e+00 Pobj: -1.5885944e+00 Ad: 1.00e+00 Dobj: -1.5885985e+00 
Iter: 15 Ap: 1.00e+00 Pobj: -1.5885881e+00 Ad: 1.00e+00 Dobj: -1.5885883e+00 
Iter: 16 Ap: 1.00e+00 Pobj: -1.5885872e+00 Ad: 1.00e+00 Dobj: -1.5885870e+00 
Iter: 17 Ap: 1.00e+00 Pobj: -1.5885870e+00 Ad: 1.00e+00 Dobj: -1.5885870e+00 
Iter: 18 Ap: 7.98e-01 Pobj: -1.5885870e+00 Ad: 8.07e-01 Dobj: -1.5885870e+00 
Success: SDP solved
Primal objective value: -1.5885870e+00 
Dual objective value: -1.5885870e+00 
Relative primal infeasibility: 1.29e-12 
Relative dual infeasibility: 1.45e-10 
Real Relative Gap: 2.30e-09 
XZ Relative Gap: 2.82e-09 
DIMACS error measures: 1.33e-12 0.00e+00 3.06e-10 0.00e+00 2.30e-09 2.82e-09
Iter:  0 Ap: 0.00e+00 Pobj: -5.1645348e+02 Ad: 0.00e+00 Dobj:  0.0000000e+00 
Iter:  1 Ap: 1.00e+00 Pobj: -8.3930539e+02 Ad: 7.84e-01 Dobj: -7.3641637e+00 
Iter:  2 Ap: 1.00e+00 Pobj: -7.9737616e+02 Ad: 9.51e-01 Dobj:  3.5337705e-01 
Iter:  3 Ap: 1.00e+00 Pobj: -3.2337565e+02 Ad: 1.00e+00 Dobj:  6.8562171e-01 
Iter:  4 Ap: 9.97e-01 Pobj: -1.6388085e+01 Ad: 1.00e+00 Dobj:  6.7964369e-01 
Iter:  5 Ap: 1.00e+00 Pobj: -2.4547857e+00 Ad: 1.00e+00 Dobj:  5.2314835e-01 
Iter:  6 Ap: 1.00e+00 Pobj: -9.5709451e-01 Ad: 9.33e-01 Dobj:  1.0736132e-01 
Iter:  7 Ap: 1.00e+00 Pobj: -2.3519932e-01 Ad: 1.00e+00 Dobj:  6.7323119e-02 
Iter:  8 Ap: 1.00e+00 Pobj: -9.0037761e-02 Ad: 1.00e+00 Dobj:  2.8768814e-03 
Iter:  9 Ap: 1.00e+00 Pobj: -2.4000568e-02 Ad: 1.00e+00 Dobj: -9.9370426e-03 
Iter: 10 Ap: 1.00e+00 Pobj: -1.6206311e-02 Ad: 1.00e+00 Dobj: -1.2741889e-02 
Iter: 11 Ap: 1.00e+00 Pobj: -1.4025608e-02 Ad: 1.00e+00 Dobj: -1.3328607e-02 
Iter: 12 Ap: 1.00e+00 Pobj: -1.3610305e-02 Ad: 1.00e+00 Dobj: -1.3461311e-02 
Iter: 13 Ap: 1.00e+00 Pobj: -1.3501109e-02 Ad: 1.00e+00 Dobj: -1.3489040e-02 
Iter: 14 Ap: 1.00e+00 Pobj: -1.3482279e-02 Ad: 1.00e+00 Dobj: -1.3494519e-02 
Iter: 15 Ap: 1.00e+00 Pobj: -1.3479582e-02 Ad: 1.00e+00 Dobj: -1.3483185e-02 
Iter: 16 Ap: 1.00e+00 Pobj: -1.3479048e-02 Ad: 1.00e+00 Dobj: -1.3479272e-02 
Iter: 17 Ap: 1.00e+00 Pobj: -1.3478938e-02 Ad: 1.00e+00 Dobj: -1.3478940e-02 
Iter: 18 Ap: 8.02e-01 Pobj: -1.3478916e-02 Ad: 8.04e-01 Dobj: -1.3478919e-02 
Success: SDP solved
Primal objective value: -1.3478916e-02 
Dual objective value: -1.3478919e-02 
Relative primal infeasibility: 5.00e-12 
Relative dual infeasibility: 5.73e-10 
Real Relative Gap: -2.94e-09 
XZ Relative Gap: 6.62e-09 
DIMACS error measures: 5.12e-12 0.00e+00 1.21e-09 0.00e+00 -2.94e-09 6.62e-09
Iter:  0 Ap: 0.00e+00 Pobj: -5.1645348e+02 Ad: 0.00e+00 Dobj:  0.0000000e+00 
Iter:  1 Ap: 1.00e+00 Pobj: -8.4238885e+02 Ad: 7.85e-01 Dobj:  7.1679156e+00 
Iter:  2 Ap: 1.00e+00 Pobj: -8.0000450e+02 Ad: 9.51e-01 Dobj: -3.7138597e-01 
Iter:  3 Ap: 1.00e+00 Pobj: -3.2412419e+02 Ad: 1.00e+00 Dobj: -7.0285010e-01 
Iter:  4 Ap: 9.99e-01 Pobj: -1.7857390e+01 Ad: 1.00e+00 Dobj: -7.2040021e-01 
Iter:  5 Ap: 1.00e+00 Pobj: -4.1285833e+00 Ad: 1.00e+00 Dobj: -9.0930193e-01 
Iter:  6 Ap: 1.00e+00 Pobj: -2.7872876e+00 Ad: 9.91e-01 Dobj: -1.4262334e+00 
Iter:  7 Ap: 1.00e+00 Pobj: -1.8190435e+00 Ad: 1.00e+00 Dobj: -1.5059963e+00 
Iter:  8 Ap: 1.00e+00 Pobj: -1.6566658e+00 Ad: 1.00e+00 Dobj: -1.5640554e+00 
Iter:  9 Ap: 1.00e+00 Pobj: -1.6019474e+00 Ad: 1.00e+00 Dobj: -1.5830519e+00 
Iter: 10 Ap: 1.00e+00 Pobj: -1.5916960e+00 Ad: 1.00e+00 Dobj: -1.5872647e+00 
Iter: 11 Ap: 1.00e+00 Pobj: -1.5893032e+00 Ad: 1.00e+00 Dobj: -1.5882984e+00 
Iter: 12 Ap: 1.00e+00 Pobj: -1.5887514e+00 Ad: 1.00e+00 Dobj: -1.5885340e+00 
Iter: 13 Ap: 1.00e+00 Pobj: -1.5886241e+00 Ad: 1.00e+00 Dobj: -1.5885867e+00 
Iter: 14 Ap: 1.00e+00 Pobj: -1.5885943e+00 Ad: 1.00e+00 Dobj: -1.5885982e+00 
Iter: 15 Ap: 1.00e+00 Pobj: -1.5885880e+00 Ad: 1.00e+00 Dobj: -1.5885882e+00 
Iter: 16 Ap: 1.00e+00 Pobj: -1.5885872e+00 Ad: 1.00e+00 Dobj: -1.5885870e+00 
Iter: 17 Ap: 1.00e+00 Pobj: -1.5885870e+00 Ad: 1.00e+00 Dobj: -1.5885870e+00 
Iter: 18 Ap: 7.98e-01 Pobj: -1.5885870e+00 Ad: 8.07e-01 Dobj: -1.5885870e+00 
Success: SDP solved
Primal objective value: -1.5885870e+00 
Dual objective value: -1.5885870e+00 
Relative primal infeasibility: 1.38e-12 
Relative dual infeasibility: 1.41e-10 
Real Relative Gap: 2.27e-09 
XZ Relative Gap: 2.76e-09 
DIMACS error measures: 1.41e-12 0.00e+00 2.96e-10 0.00e+00 2.27e-09 2.76e-09
Iter:  0 Ap: 0.00e+00 Pobj: -5.1645348e+02 Ad: 0.00e+00 Dobj:  0.0000000e+00 
Iter:  1 Ap: 1.00e+00 Pobj: -8.3931774e+02 Ad: 7.84e-01 Dobj: -6.9512072e+00 
Iter:  2 Ap: 1.00e+00 Pobj: -7.9737686e+02 Ad: 9.51e-01 Dobj:  3.9940567e-01 
Iter:  3 Ap: 1.00e+00 Pobj: -3.2332061e+02 Ad: 1.00e+00 Dobj:  7.1302454e-01 
Iter:  4 Ap: 9.97e-01 Pobj: -1.6288277e+01 Ad: 1.00e+00 Dobj:  7.0760097e-01 
Iter:  5 Ap: 1.00e+00 Pobj: -2.3210228e+00 Ad: 1.00e+00 Dobj:  5.6306817e-01 
Iter:  6 Ap: 1.00e+00 Pobj: -8.7580283e-01 Ad: 9.31e-01 Dobj:  1.6225861e-01 
Iter:  7 Ap: 1.00e+00 Pobj: -1.7039489e-01 Ad: 1.00e+00 Dobj:  1.2393686e-01 
Iter:  8 Ap: 1.00e+00 Pobj: -2.9494782e-02 Ad: 1.00e+00 Dobj:  6.1383468e-02 
Iter:  9 Ap: 1.00e+00 Pobj:  3.5188810e-02 Ad: 1.00e+00 Dobj:  4.8941418e-02 
Iter: 10 Ap: 1.00e+00 Pobj:  4.2810620e-02 Ad: 1.00e+00 Dobj:  4.6199488e-02 
Iter: 11 Ap: 1.00e+00 Pobj:  4.4943628e-02 Ad: 1.00e+00 Dobj:  4.5625744e-02 
Iter: 12 Ap: 1.00e+00 Pobj:  4.5349563e-02 Ad: 1.00e+00 Dobj:  4.5495935e-02 
Iter: 13 Ap: 1.00e+00 Pobj:  4.5456335e-02 Ad: 1.00e+00 Dobj:  4.5468812e-02 
Iter: 14 Ap: 1.00e+00 Pobj:  4.5474845e-02 Ad: 1.00e+00 Dobj:  4.5463432e-02 
Iter: 15 Ap: 1.00e+00 Pobj:  4.5477493e-02 Ad: 1.00e+00 Dobj:  4.5474588e-02 
Iter: 16 Ap: 1.00e+00 Pobj:  4.5478015e-02 Ad: 1.00e+00 Dobj:  4.5477854e-02 
Iter: 17 Ap: 1.00e+00 Pobj:  4.5478123e-02 Ad: 1.00e+00 Dobj:  4.5478126e-02 
Iter: 18 Ap: 8.02e-01 Pobj:  4.5478144e-02 Ad: 8.04e-01 Dobj:  4.5478143e-02 
Success: SDP solved
Primal objective value: 4.5478144e-02 
Dual objective value: 4.5478143e-02 
Relative primal infeasibility: 3.81e-12 
Relative dual infeasibility: 5.07e-10 
Real Relative Gap: -1.42e-09 
XZ Relative Gap: 6.10e-09 
DIMACS error measures: 3.89e-12 0.00e+00 1.07e-09 0.00e+00 -1.42e-09 6.10e-09
Iter:  0 Ap: 0.00e+00 Pobj: -5.1645348e+02 Ad: 0.00e+00 Dobj:  0.0000000e+00 
Iter:  1 Ap: 1.00e+00 Pobj: -8.4237638e+02 Ad: 7.85e-01 Dobj:  6.7743971e+00 
Iter:  2 Ap: 1.00e+00 Pobj: -8.0000361e+02 Ad: 9.51e-01 Dobj: -4.1573078e-01 
Iter:  3 Ap: 1.00e+00 Pobj: -3.2417757e+02 Ad: 1.00e+00 Dobj: -7.2875904e-01 
Iter:  4 Ap: 9.98e-01 Pobj: -1.7824624e+01 Ad: 1.00e+00 Dobj: -7.4495839e-01 
Iter:  5 Ap: 1.00e+00 Pobj: -4.0692683e+00 Ad: 1.00e+00 Dobj: -9.2031351e-01 
Iter:  6 Ap: 1.00e+00 Pobj: -2.7797622e+00 Ad: 9.87e-01 Dobj: -1.4309861e+00 
Iter:  7 Ap: 1.00e+00 Pobj: -1.8124628e+00 Ad: 1.00e+00 Dobj: -1.5064494e+00 
Iter:  8 Ap: 1.00e+00 Pobj: -1.6564681e+00 Ad: 1.00e+00 Dobj: -1.5647352e+00 
Iter:  9 Ap: 1.00e+00 Pobj: -1.6015185e+00 Ad: 1.00e+00 Dobj: -1.5831759e+00 
Iter: 10 Ap: 1.00e+00 Pobj: -1.5916403e+00 Ad: 1.00e+00 Dobj: -1.5872988e+00 
Iter: 11 Ap: 1.00e+00 Pobj: -1.5892832e+00