I am trying to draw iso-density contours on a plot. Yet, it seems I am drawing lines all over the place – as opposed to contours representing different iso-densities (plot should be top-view of a mountain). I tried point and function representations, but my plot is wonky either way. I am missing something fundamental, but am not sure what it is? Any help is appreciated. Thanks!

Here is code to reproduce one of my wonky plots:

```
using Distributions, Gadfly, Format, DataFrames
## specify random variables
X = Beta(2,2)
unscaledBeta = Beta(2,8)
Y = LocationScale(0, 100000, Beta(2,8))
## calculate log pdf
function negLogDensFun(x::Real,y::Real)
-logpdf(X,x) - logpdf(Y,y) ## logpdf built-in to Distributions
end
## test it
negLogDensFun(0.5,25000)
## sample directly and show on grid
numDraws = 100
plotDF = DataFrame(winningsMultiplier = rand(X,numDraws),
maxWinnings = rand(Y,numDraws))
plotDF.negLogDens = negLogDensFun.(plotDF.winningsMultiplier,
plotDF.maxWinnings)
# make plot
plot(plotDF, x = :winningsMultiplier,
y = :maxWinnings,
layer(Geom.point),
layer(z=(x,y) -> negLogDensFun(x,y),
Geom.contour(levels = 3)),
Coord.cartesian(xmin =0, xmax = 1,
ymin = 0, ymax = 10^5),
Scale.y_continuous(labels = x -> format(x, commas = true)))
```

Wonky plot (above), but I was hoping for contour lines akin to the ones shown in the gallery (below):

My plot would have just one mountain top though.