2.40s E((x+y-1)**2) 2.31s E((x+y+1)**2) 1.85s MT(log(x)**2/(x+1), x, s) 1.84s MT(log(x)/(x+1)**2, x, s) 1.75s MT(bessely(a, sqrt(x))**2, x, s) 1.39s integrate(expint(2, x), x, meijerg=True) 1.29s MT(log(x)/(x+1), x, s) 0.96s MT(besselj(a, sqrt(x))*bessely(b, sqrt(x)), x, s) 0.95s FT(Heaviside(1-abs(apos*x))*(1-abs(apos*x)), x, k) 0.90s MT(besseli(b, sqrt(x))*besselk(a, sqrt(x)), x, s) 0.88s MT(exp(-x/2)*besselk(a, x/2), x, s) 0.87s integrate(x**2*normal(x, mu1, sigma1)*normal(y, mu2, sigma2), (x, -oo, oo), (y, -oo, oo), meijerg=True) 0.79s integrate(besselj(0,x)*besselj(1,x)*besselk(0,x), (x, 0, oo), meijerg=True) 0.79s integrate(cosint(u), u, meijerg=True) 0.74s MT(besselj(a, sqrt(x))**2 + besselj(-a, sqrt(x))**2, x, s) 0.74s MT(sin(sqrt(x))*bessely(a, sqrt(x)), x, s) 0.72s integrate(exp(-z*x)/x**3, (x, 1, oo), meijerg=True,conds="none") 0.70s MT(cos(sqrt(x))*bessely(a, sqrt(x)), x, s) 0.67s integrate(ci(u), u, meijerg=True) 0.67s MT(besselj(a, sqrt(x))*besselj(b, sqrt(x)), x, s) 0.66s E(x+y+1) 0.64s MT(besselj(a, sqrt(x))*bessely(a, sqrt(x)), x, s) 0.62s laplace_transform(expint(a, x), x, s) 0.62s inverse_laplace_transform((s - log(s + 1))/s**2, s, x) 0.62s integrate((x+y+1)*normal(x, mu1, sigma1)*normal(y, mu2, sigma2), (x, -oo, oo), (y, -oo, oo), meijerg=True) 0.61s integrate((x+y-1)*normal(x, mu1, sigma1)*normal(y, mu2, sigma2), (x, -oo, oo), (y, -oo, oo), meijerg=True) 0.60s MT(besseli(a, sqrt(x))*besselk(a, sqrt(x)), x, s) 0.57s FT(exp(-apos*x)*sin(bpos*x)*Heaviside(x), x, k) 0.55s LT((t-apos)**bpos*exp(-cpos*(t-apos))*Heaviside(t-apos), t, s) 0.54s FT(Heaviside(1 - abs(2*apos*x)), x, k) 0.53s laplace_transform(expint(2, x), x, s) 0.52s MT(besselj(a, 2*sqrt(2*sqrt(x)))*besselk(a, 2*sqrt(2*sqrt(x))), x, s) 0.52s integrate(log(x) * x**(k-1) * exp(-x) / gamma(k), (x, 0, oo)) 0.51s MT(cos(sqrt(x))*besselj(a, sqrt(x)), x, s) 0.51s LT(exp(-apos*t)*cos(bpos*t), t, s) 0.49s MT(sin(sqrt(x))*besselj(a, sqrt(x)), x, s) 0.49s inverse_laplace_transform(-log(1 + s**2)/2/s, s, u) 0.47s integrate(cosh(u)/u, u, meijerg=True) 0.47s MT(besselj(a, sqrt(x))*besselj(-a, sqrt(x)), x, s) 0.46s integrate(exp(-z*x)/x**2, (x, 1, oo), meijerg=True, conds="none") 0.46s LT(exp(-apos*t)*sin(bpos*t), t, s) 0.46s MT(besselj(a - 1, sqrt(x))*besselj(a, sqrt(x)), x, s) 0.45s integrate(besselj(0,x)*besselj(1,x)*exp(-x**2), (x, 0, oo), meijerg=True) 0.45s hyperexpand(meijerg((-s - a/2 + 1, -s + a/2 + 1), (-a/2 - S(1)/2, -s + a/2 + S(3)/2), (a/2, -a/2), (-a/2 - S(1)/2, -s + a/2 + S(3)/2), 1)) 0.45s FT(exp(-apos*x**2), x, k) 0.45s laplace_transform(ci(x), x, s) 0.45s combsimp(S('2**(2*s)*(-pi*gamma(-a + 1)*gamma(a + 1)*gamma(-a - s + 1)*gamma(-a + s - 1/2)*gamma(a - s + 3/2)*gamma(a + s + 1)/(a*(a + s)) - gamma(-a - 1/2)*gamma(-a + 1)*gamma(a + 1)*gamma(a + 3/2)*gamma(-s + 3/2)*gamma(s - 1/2)*gamma(-a + s + 1)*gamma(a - s + 1)/(a*(-a + s)))*gamma(-2*s + 1)*gamma(s + 1)/(pi*s*gamma(-a - 1/2)*gamma(a + 3/2)*gamma(-s + 1)*gamma(-s + 3/2)*gamma(s - 1/2)*gamma(-a - s + 1)*gamma(-a + s - 1/2)*gamma(a - s + 1)*gamma(a - s + 3/2))')) 0.43s integrate(besselj(0,x)*besselj(1,x)*exp(-x**2), (x, 0, oo), meijerg=True) 0.43s IFT(sqrt(pi/apos)*exp(-(pi*k)**2/apos), k, x) 0.43s LT(log(t/apos), t, s) 0.42s integrate(-cos(x)/x, (x, tpos, oo), meijerg=True) 0.41s MT(besselj(a, sqrt(x))**2, x, s) 0.40s FT(exp(-apos*abs(x)), x, k) 0.39s E(x*y**2) 0.39s integrate(x*y*normal(x, mu1, sigma1)*normal(y, mu2, sigma2), (x, -oo, oo), (y, -oo, oo), meijerg=True) 0.38s integrate(cos(u)/u, u, meijerg=True) 0.35s LT((exp(2*t)-1)*exp(-bpos - t)*Heaviside(t)/2, t, s, noconds=True) 0.34s integrate(exp(-x)/x**2, x, meijerg=True) 0.33s inverse_mellin_transform(-4**s*sqrt(pi)*gamma(s)/(2*s*gamma(-s + S(1)/2)),s, u, (0, 1)) 0.33s E(x*y) 0.33s MT((1-x)**(beta-1)*Heaviside(1-x) + a*(x-1)**(beta-1)*Heaviside(x-1), x, s) 0.32s integrate(sin(z*x)*(x**2-1)**(-(y+S(1)/2)), (x, 1, oo), meijerg=True) 0.31s MT(abs(1-x)**(-rho), x, s) 0.31s integrate(expint(1, x), x, meijerg=True) 0.31s IFT(1/(apos + 2*pi*I*x), x, posk, noconds=False) 0.30s integrate(y**2*normal(x, mu1, sigma1)*normal(y, mu2, sigma2), (x, -oo, oo), (y, -oo, oo), meijerg=True) 0.29s IFT(1/(apos + 2*pi*I*x), x, negk) 0.29s inverse_laplace_transform(log(s + 1)/s, s, x) 0.29s integrate(x*normal(x, mu1, sigma1)*normal(y, mu2, sigma2), (x, -oo, oo), (y, -oo, oo), meijerg=True) 0.29s LT(besselj(1, t), t, s, noconds=True) 0.28s MT((x**a-b**a)/(x-b), x, s) 0.28s laplace_transform(expint(1, x), x, s) 0.28s FT(x*exp(-apos*x)*Heaviside(x), x, k) 0.28s integrate(y*normal(x, mu1, sigma1)*normal(y, mu2, sigma2), (x, -oo, oo), (y, -oo, oo), meijerg=True) 0.28s LT(besselj(0, t), t, s, noconds=True) 0.27s integrate(besselj(a,x)*besselj(b,x)/x, (x,0,oo), meijerg=True) 0.26s integrate(expint(1, x)*sin(x), (x, 0, oo), meijerg=True) 0.26s integrate(exp(-z*x)/x, (x, 1, oo), meijerg=True, conds="none") 0.25s MT(bessely(a, 2*sqrt(x)), x, s) 0.25s IFT(1/(apos + 2*pi*I*x), x, -posk, noconds=False) 0.25s FT(exp(-apos*x)*Heaviside(x), x, k) 0.25s MT((x**a-bpos**a)/(x-bpos), x, s) 0.24s integrate(rice, (x, 0, oo), meijerg=True) 0.24s integrate(x**3*normal(x, mu1, sigma1), (x, -oo, oo), meijerg=True) 0.22s LT(cos(apos*t), t, s) 0.22s LT(sin(apos*t), t, s) 0.22s LT(exp(apos*t), t, s) 0.22s LT(Heaviside(t - apos), t, s) 0.21s LT(exp(2*t), t, s) 0.21s LT(erf(t), t, s) 0.21s E(1) 0.20s LT(1 - exp(-apos*t), t, s) 0.20s MT((1-x)**(beta - 1)*Heaviside(1-x), x, s) 0.19s LT(exp(t), t, s) 0.19s integrate(shi(x), x, meijerg=True) 0.19s integrate(x**2*normal(x, mu1, sigma1), (x, -oo, oo), meijerg=True) 0.18s integrate(exp(-x)/x, x, meijerg=True) 0.18s integrate(normal(x, mu1, sigma1)*normal(y, mu2, sigma2), (x, -oo, oo), (y, -oo, oo), meijerg=True) 0.18s integrate(((x-k)/sqrt(2*k))**3*chisquared, (x, 0, oo), meijerg=True) 0.17s integrate(si(x), x, meijerg=True) 0.17s MT(x**nu*Heaviside(x - 1), x, s) 0.17s mellin_transform(si(x), x, s) 0.17s integrate(x*normal(x, mu1, sigma1), (x, -oo, oo), meijerg=True) 0.17s integrate(x**2*laplace, (x, -oo, oo), meijerg=True) 0.16s inverse_mellin_transform(gamma(s)/s, s, x, (0, oo)) 0.16s integrate(-sin(x)/x, (x, tpos, oo), meijerg=True) 0.16s MT((x-1)**(beta - 1)*Heaviside(x-1), x, s) 0.14s mellin_transform(ci(sqrt(x)), x, s) 0.14s MT((1+x)**(-rho), x, s) 0.14s integrate(x*laplace, (x, -oo, oo), meijerg=True) 0.14s integrate(x**2*f, (x, 0, oo), meijerg=True) 0.13s MT(log(abs(1 - 1/x)), x, s) 0.13s integrate(si(x)*exp(-x), (x, 0, oo), meijerg=True) 0.13s MT(besselj(a, 2*sqrt(x)), x, s) 0.13s MT(log(abs(1 - x)), x, s) 0.12s MT(log(1/x + 1), x, s) 0.12s MT(besselk(a, 2*sqrt(x)), x, s) 0.12s integrate(x*dagum, (x, 0, oo), meijerg=True) 0.11s integrate(x**2*dagum, (x, 0, oo), meijerg=True) 0.10s integrate(f, (x, 0, oo), meijerg=True) 0.10s integrate(x*f, (x, 0, oo), meijerg=True) 0.10s integrate(sinh(x)/x, (x, 0, z), meijerg=True) 0.10s MT(log(x + 1), x, s) 0.10s integrate(sin(x)/x, (x, 0, z), meijerg=True) 0.09s mellin_transform(expint(a, x), x, s) 0.08s MT(x**nu*Heaviside(1 - x), x, s) 0.08s MT(erf(sqrt(x)), x, s) 0.08s LT(t**apos, t, s) 0.08s integrate(normal(x, mu1, sigma1), (x, -oo, oo), meijerg=True) 0.07s inverse_mellin_transform(-2**s*sqrt(pi)*gamma((s + 1)/2)/(2*s*gamma(-s/2 + 1)), s, x, (-1, 0)) 0.07s integrate(x**2*betadist, (x, 0, oo), meijerg=True) 0.07s integrate(x*betadist, (x, 0, oo), meijerg=True) 0.06s integrate(dagum, (x, 0, oo), meijerg=True) 0.06s MT(log(x)**3*Heaviside(x-1), x, s) 0.06s MT(log(x)**4*Heaviside(1-x), x, s) 0.06s integrate(betadist, (x, 0, oo), meijerg=True) 0.06s MT(exp(-1/x), x, s) 0.06s integrate(x**2*chisquared, (x, 0, oo), meijerg=True) 0.06s integrate(x*chi, (x, 0, oo), meijerg=True) 0.06s integrate(x**2*chi, (x, 0, oo), meijerg=True) 0.06s integrate(chi, (x, 0, oo), meijerg=True) 0.06s integrate(chisquared, (x, 0, oo), meijerg=True) 0.05s integrate(laplace, (x, -oo, oo), meijerg=True) 0.05s integrate(x*chisquared, (x, 0, oo), meijerg=True) 0.05s LT(Heaviside(t), t, s) 0.05s mellin_transform(e1(x), x, s) 0.05s MT(exp(-x), x, s) 0.04s integrate(x**2*exponential(x, rate), (x, 0, oo), meijerg=True) 0.03s integrate(x*exponential(x, rate), (x, 0, oo), meijerg=True) 0.03s integrate(exponential(x, rate), (x, 0, oo), meijerg=True)