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dist1: Normal(mu = 1, sigma = 0.5)
dist1+2: RandomMixture(Normal(mu = 3, sigma = 0.5))
dist1-2: RandomMixture(Normal(mu = -1, sigma = 0.5))
dist1*2: RandomMixture(Normal(mu = 2, sigma = 1))
dist1/2: RandomMixture(Normal(mu = 0.5, sigma = 0.25))
cos(dist1): CompositeDistribution=f(Normal(mu = 1, sigma = 0.5)) with f=[x]->[cos(x)]
sin(dist1): CompositeDistribution=f(Normal(mu = 1, sigma = 0.5)) with f=[x]->[sin(x)]
tan(dist1): CompositeDistribution=f(Normal(mu = 1, sigma = 0.5)) with f=[x]->[tan(x)]
acos(dist0): CompositeDistribution=f(Uniform(a = -0.999, b = 0.999)) with f=[x]->[acos(x)]
asin(dist0): CompositeDistribution=f(Uniform(a = -0.999, b = 0.999)) with f=[x]->[asin(x)]
atan(dist0): CompositeDistribution=f(Uniform(a = -0.999, b = 0.999)) with f=[x]->[atan(x)]
cosh(dist1): CompositeDistribution=f(Normal(mu = 1, sigma = 0.5)) with f=[x]->[cosh(x)]
sinh(dist1): CompositeDistribution=f(Normal(mu = 1, sigma = 0.5)) with f=[x]->[sinh(x)]
tanh(dist1): CompositeDistribution=f(Normal(mu = 1, sigma = 0.5)) with f=[x]->[tanh(x)]
acosh(distG1): CompositeDistribution=f(LogNormal(muLog = 1, sigmaLog = 1, gamma = 1)) with f=[x]->[acosh(x)]
asinh(dist1): CompositeDistribution=f(Normal(mu = 1, sigma = 0.5)) with f=[x]->[asinh(x)]
atanh(dist0): CompositeDistribution=f(Uniform(a = -0.999, b = 0.999)) with f=[x]->[atanh(x)]
exp(dist1): LogNormal(muLog = 1, sigmaLog = 0.5, gamma = 0)
log(distG1): CompositeDistribution=f(LogNormal(muLog = 1, sigmaLog = 1, gamma = 1)) with f=[x]->[log(x)]
ln(distG1): CompositeDistribution=f(LogNormal(muLog = 1, sigmaLog = 1, gamma = 1)) with f=[x]->[log(x)]
dist1^3: CompositeDistribution=f(Normal(mu = 1, sigma = 0.5)) with f=[x]->[x^3]
dist1^2.5: CompositeDistribution=f(LogNormal(muLog = 1, sigmaLog = 1, gamma = 1)) with f=[x]->[x^2.5]
inverse(distG1): CompositeDistribution=f(LogNormal(muLog = 1, sigmaLog = 1, gamma = 1)) with f=[x]->[1.0 / x]
sqr(dist1): CompositeDistribution=f(Normal(mu = 1, sigma = 0.5)) with f=[x]->[x^2]
sqrt(distG1): CompositeDistribution=f(LogNormal(muLog = 1, sigmaLog = 1, gamma = 1)) with f=[x]->[sqrt(x)]
cbrt(dist1): CompositeDistribution=f(Normal(mu = 1, sigma = 0.5)) with f=[x]->[cbrt(x)]
abs(dist1): CompositeDistribution=f(Normal(mu = 1, sigma = 0.5)) with f=[x]->[abs(x)]
dist1+dist2: RandomMixture(Normal(mu = -1, sigma = 1.11803))
dist1-dist2: RandomMixture(Normal(mu = 3, sigma = 1.11803))
dist1*dist2: ProductDistribution(Normal(mu = 1, sigma = 0.5) * Normal(mu = -2, sigma = 1))
dist1/dist2: ProductDistribution(Normal(mu = 1, sigma = 0.5) * CompositeDistribution=f(Normal(mu = -2, sigma = 1)) with f=[x]->[1.0 / x])
logn*logn: LogNormal(muLog = 0, sigmaLog = 1.41421, gamma = 0)
logu*logu: CompositeDistribution=f(RandomMixture(Triangular(a = -2, m = 0, b = 2))) with f=[x]->[exp(x)]
logu*logn: CompositeDistribution=f(RandomMixture(Normal(mu = 0, sigma = 1) + Uniform(a = -1, b = 1))) with f=[x]->[exp(x)]
logn*logu: CompositeDistribution=f(RandomMixture(Normal(mu = 0, sigma = 1) + Uniform(a = -1, b = 1))) with f=[x]->[exp(x)]
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