The following scores is for sprinkler dataset with 1000 sample.
The order is 6 5 4 7 3 0 1 2. It is the best order calculated by Efrain's program.
The maximum amount of parents to any given variable is 7.
The percentage is 99.0.
Best several structures are:
-3444.73 : [6][5|6][4|5][7][3|6:7][0|6:7:3][1|3:0][2|4:1]
-3447.24 : [6][5|6][4|5][7|6][3|6:7][0|6:7:3][1|3:0][2|4:1]
-3447.55 : [6][5|6][4|5][7|4][3|6:7][0|6:7:3][1|3:0][2|4:1]
-3448.48 : [6][5|6][4|5][7|5][3|6:7][0|6:7:3][1|3:0][2|4:1]
For variable 6:
[6] : -606.174;
For variable 5:
[5|6] : -216.492; [5] : -619.908;
For variable 4:
[4|5] : -383.515; [4|6:5] : -389.425; [4|6] : -441.062; [4] : -627.102;
For variable 7:
[7] : -676.793; [7|6] : -679.308; [7|4] : -679.621; [7|5] : -680.545; [7|6:5] : -683.622; [7|6:4] : -686.546; [7|5:4] : -687.077; [7|6:5:4] : -696.909;
For variable 3:
[3|6:7] : -283.409; [3|6:5:7] : -290.502; [3|6:4:7] : -293.747; [3|6:5:4:7] : -308.56; [3|5:7] : -372.386; [3|5:4:7] : -386.174; [3|4:7] : -475.915; [3|6] : -524.888; [3|6:5] : -528.932; [3|6:4] : -530.112; [3|6:5:4] : -538.59; [3|7] : -552.693; [3|5] : -576.104; [3|5:4] : -581.815; [3|4] : -652.536; [3] : -696.117;
For variable 0:
[0|6:7:3] : -199.201; [0|6:5:7:3] : -207.57; [0|6:4:7:3] : -211.139; [0|6:7] : -211.993; [0|6:5:7] : -219.718; [0|5:7:3] : -221.639; [0|6:4:7] : -222.611; [0|6:5:4:7:3] : -226.61; [0|6:5:4:7] : -235.286; [0|7:3] : -235.446; [0|5:4:7:3] : -236.624; [0|4:7:3] : -237.653; [0|5:7] : -296.997; [0|6:3] : -307.421; [0|5:4:7] : -308.885; [0|6:5:3] : -315.869; [0|5:3] : -316.97; [0|6:4:3] : -318.798; [0|3] : -327.603; [0|4:3] : -328.599; [0|5:4:3] : -328.766; [0|6:5:4:3] : -334.259; [0|4:7] : -401.375; [0|7] : -477.15; [0|6] : -513.601; [0|6:5] : -518.008; [0|6:4] : -519.15; [0|6:5:4] : -527.799; [0|5] : -563.389; [0|5:4] : -569.431; [0|4] : -639.16; [0] : -681.066;
For variable 1:
[1|3:0] : -515.942; [1|7:3:0] : -523.84; [1|6:3:0] : -525.598; [1|5:3:0] : -527.672; [1|4:3:0] : -528.34; [1|6:7:3:0] : -539.271; [1|6:4:3:0] : -542.31; [1|6:5:3:0] : -543.803; [1|5:7:3:0] : -545.218; [1|4:7:3:0] : -546.425; [1|5:4:3:0] : -547.213; [1|7:3] : -548.815; [1|6:7:3] : -553.847; [1|5:7:3] : -561.876; [1|3] : -562.376; [1|6:5:7:3:0] : -562.553; [1|6:5:4:3:0] : -562.684; [1|4:7:3] : -563.756; [1|6:3] : -563.885; [1|6:4:7:3:0] : -567.74; [1|5:3] : -567.936; [1|4:3] : -569.522; [1|5:4:7:3:0] : -571.184; [1|6:5:7:3] : -572.973; [1|6:5:3] : -575.58; [1|6:4:3] : -578.296; [1|6:4:7:3] : -580.805; [1|5:4:3] : -581.049; [1|5:4:7:3] : -585.444; [1|6:5:4:7:3:0] : -590.292; [1|6:5:4:3] : -594.943; [1|6:7:0] : -601.273; [1|6:5:4:7:3] : -601.364; [1|6] : -602.73; [1|6:7] : -607.326; [1|5] : -607.605; [1|6:0] : -608.167; [1|6:5] : -609.276; [1|6:4] : -610.145; [1|5:7:0] : -612.676; [1|5:7] : -613.088; [1|5:0] : -613.479; [1|4] : -613.521; [1|7:0] : -613.586; [1] : -614.901; [1|5:4] : -614.994; [1|0] : -616.268; [1|7] : -616.36; [1|6:5:7:0] : -616.551; [1|4:7] : -618.901; [1|6:5:7] : -619.185; [1|4:0] : -619.207; [1|6:5:0] : -620.17; [1|6:5:4] : -620.249; [1|6:4:0] : -620.294; [1|4:7:0] : -621.435; [1|6:4:7] : -622.447; [1|6:4:7:0] : -623.38; [1|5:4:0] : -625.011; [1|5:4:7] : -628.522; [1|5:4:7:0] : -634.506; [1|6:5:4:0] : -637.903; [1|6:5:4:7] : -641.411; [1|6:5:4:7:0] : -643.36;
For variable 2:
[2|4:1] : -563.199; [2|6:4:1] : -572.972; [2|4:0:1] : -573.893; [2|5:4:1] : -574.111; [2|4:3:1] : -575.847; [2|4:7:1] : -576.547; [2|6:5:4:1] : -586.27; [2|6:4:0:1] : -588.849; [2|5:1] : -589.366; [2|6:4:3:1] : -592.803; [2|4:3:0:1] : -592.875; [2|5:4:0:1] : -595.317; [2|6:4:7:1] : -596.828; [2|6:1] : -597.027; [2|5:0:1] : -598.614; [2|6:5:1] : -599.372; [2|4:7:0:1] : -599.445; [2|5:4:3:1] : -600.463; [2|5:3:1] : -601.12; [2|4:7:3:1] : -601.924; [2|5:4:7:1] : -602.195; [2|5:7:1] : -604.25; [2|6:0:1] : -607.808; [2|6:3:1] : -610.364; [2|6:7:1] : -612.222; [2|6:5:4:0:1] : -613.195; [2|6:4:3:0:1] : -613.446; [2|5:3:0:1] : -614.275; [2|1] : -616.124; [2|6:5:0:1] : -616.239; [2|6:5:3:1] : -616.969; [2|6:5:4:3:1] : -618.273; [2|6:3:0:1] : -619.166; [2|0:1] : -620.182; [2|3:1] : -621.002; [2|5:4:3:0:1] : -621.34; [2|5:7:0:1] : -621.43; [2|6:5:7:1] : -621.705; [2|7:1] : -622.52; [2|6:5:4:7:1] : -622.742; [2|6:4:7:0:1] : -623.272; [2|4:7:3:0:1] : -625.379; [2|7:0:1] : -625.622; [2|7:3:1] : -626.946; [2|5:7:3:1] : -627.203; [2|6:4:7:3:1] : -628.982; [2|6:5:3:0:1] : -630.641; [2|6:7:0:1] : -630.776; [2|3:0:1] : -631.18; [2|5:4:7:0:1] : -634.718; [2|6:7:3:1] : -635.906; [2|5:4:7:3:1] : -641.711; [2|7:3:0:1] : -644.349; [2|4:3] : -644.47; [2|6:5:4:3:0:1] : -645.786; [2|5:7:3:0:1] : -646.739; [2|4:3:0] : -646.984; [2|6:5:7:0:1] : -647.007; [2|4] : -648.516; [2|4:7:3] : -652.597; [2|6:5:7:3:1] : -652.676; [2|6:7:3:0:1] : -653.293; [2|4:7] : -655.337; [2|6:4:3] : -655.393; [2|6:4] : -655.555; [2|5:4] : -656.082; [2|4:0] : -656.363; [2|6:5:4:7:0:1] : -656.6; [2|5:4:3] : -658.271; [2|6:4:7:3:0:1] : -660.369; [2|5:3] : -663.06; [2|6:4:0] : -663.736; [2|5:3:0] : -664.277; [2|6:5:4:7:3:1] : -664.645; [2|6:4:3:0] : -664.711; [2|6:5:4] : -665.068; [2|6:4:7] : -669.267; [2|6:3] : -669.474; [2|5] : -669.666; [2|4:7:0] : -670.256; [2|5:4:3:0] : -671.113; [2|6:3:0] : -671.412; [2|5:4:0] : -671.447; [2|5:7:3] : -671.479; [2|5:4:7] : -671.626; [2|4:7:3:0] : -672.858; [2|6:5:3] : -673.783; [2|6:4:7:3] : -674.256; [2|5:4:7:3:0:1] : -674.329; [2|6:7:3] : -674.532; [2|6:5:4:3] : -675.076; [2|6:5:7:3:0:1] : -675.349; [2|6:5] : -675.928; [2|6] : -676.092; [2|5:7] : -676.358; [2|5:0] : -676.967; [2|7:3] : -677.997; [2|5:4:7:3] : -678.255; [2|3:0] : -678.975; [2|6:5:4:0] : -682.176; [2|6:0] : -682.384; [2|6:5:3:0] : -682.721; [2] : -682.843; [2|6:7] : -683.094; [2|7] : -685.023; [2|0] : -685.151; [2|3] : -685.336; [2|7:0] : -685.89; [2|7:3:0] : -686.135; [2|6:4:7:0] : -686.684; [2|6:5:0] : -687.44; [2|6:5:7:3] : -688.26; [2|5:7:0] : -688.578; [2|6:5:7] : -688.695; [2|5:7:3:0] : -690.246; [2|6:5:4:7] : -690.511; [2|6:5:4:3:0] : -690.668; [2|6:7:3:0] : -693.443; [2|6:7:0] : -693.703; [2|5:4:7:0] : -696.869; [2|6:5:4:7:3] : -700.526; [2|6:4:7:3:0] : -701.488; [2|6:5:4:7:3:0:1] : -703.641; [2|6:5:7:0] : -703.783; [2|5:4:7:3:0] : -710.509; [2|6:5:4:7:0] : -711.033; [2|6:5:7:3:0] : -713.721; [2|6:5:4:7:3:0] : -734.988;