Pendulum with 1 links. ====================== The derivation took 0.09687 seconds. Generating with lambdify method. -------------------------------- The code generation took 0.00646 seconds. ODE integration took 0.13627 seconds. Generating with theano method. ------------------------------ The code generation took 1.45622 seconds. ODE integration took 0.14954 seconds. Generating with cython method. ------------------------------ The code generation took 1.48733 seconds. ODE integration took 0.05642 seconds. Pendulum with 2 links. ====================== The derivation took 0.25115 seconds. Generating with lambdify method. -------------------------------- The code generation took 0.02060 seconds. ODE integration took 0.88993 seconds. Generating with theano method. ------------------------------ The code generation took 0.50114 seconds. ODE integration took 0.85285 seconds. Generating with cython method. ------------------------------ The code generation took 1.51564 seconds. ODE integration took 0.22280 seconds. Pendulum with 3 links. ====================== The derivation took 0.55125 seconds. Generating with lambdify method. -------------------------------- The code generation took 0.05161 seconds. ODE integration took 2.41831 seconds. Generating with theano method. ------------------------------ The code generation took 1.17744 seconds. ODE integration took 1.72887 seconds. Generating with cython method. ------------------------------ The code generation took 1.58134 seconds. ODE integration took 0.41617 seconds. Pendulum with 4 links. ====================== The derivation took 1.01894 seconds. Generating with lambdify method. -------------------------------- The code generation took 0.08991 seconds. ODE integration took 5.32725 seconds. Generating with theano method. ------------------------------ The code generation took 2.30853 seconds. ODE integration took 3.34128 seconds. Generating with cython method. ------------------------------ The code generation took 1.81173 seconds. ODE integration took 0.68449 seconds. Pendulum with 5 links. ====================== The derivation took 1.82606 seconds. Generating with lambdify method. -------------------------------- The code generation took 0.15649 seconds. ODE integration took 11.00106 seconds. Generating with theano method. ------------------------------ The code generation took 4.03793 seconds. ODE integration took 6.65777 seconds. Generating with cython method. ------------------------------ The code generation took 1.97163 seconds. ODE integration took 0.98272 seconds. Pendulum with 6 links. ====================== The derivation took 2.95281 seconds. Generating with lambdify method. -------------------------------- The code generation took 0.23726 seconds. ODE integration took 20.37399 seconds. Generating with theano method. ------------------------------ The code generation took 4.98534 seconds. ODE integration took 9.13144 seconds. Generating with cython method. ------------------------------ The code generation took 2.08780 seconds. ODE integration took 1.18249 seconds. Pendulum with 7 links. ====================== The derivation took 4.38197 seconds. Generating with lambdify method. -------------------------------- The code generation took 0.33918 seconds. ODE integration took 36.45413 seconds. Generating with theano method. ------------------------------ The code generation took 6.89565 seconds. ODE integration took 12.52042 seconds. Generating with cython method. ------------------------------ The code generation took 2.47878 seconds. ODE integration took 1.70451 seconds. Pendulum with 8 links. ====================== The derivation took 5.86243 seconds. Generating with lambdify method. -------------------------------- The code generation took 0.75952 seconds. ODE integration took 59.34208 seconds. Generating with theano method. ------------------------------ The code generation took 9.64943 seconds. ODE integration took 17.31334 seconds. Generating with cython method. ------------------------------ The code generation took 2.98403 seconds. ODE integration took 2.03447 seconds. Pendulum with 9 links. ====================== The derivation took 8.51705 seconds. Generating with lambdify method. -------------------------------- The code generation took 0.65586 seconds. ODE integration took 90.69186 seconds. Generating with theano method. ------------------------------ The code generation took 13.77288 seconds. ODE integration took 24.67280 seconds. Generating with cython method. ------------------------------ The code generation took 3.55047 seconds. ODE integration took 2.71639 seconds. Pendulum with 10 links. ======================= The derivation took 10.95512 seconds. Generating with lambdify method. -------------------------------- The code generation took 0.89871 seconds. ODE integration took 134.90636 seconds. Generating with theano method. ------------------------------ The code generation took 18.41005 seconds. ODE integration took 33.31801 seconds. Generating with cython method. ------------------------------ The code generation took 4.57203 seconds. ODE integration took 3.21972 seconds. Pendulum with 11 links. ======================= The derivation took 14.81924 seconds. Generating with lambdify method. -------------------------------- The code generation took 1.12201 seconds. ODE integration took 202.93418 seconds. Generating with theano method. ------------------------------ The code generation took 65.02300 seconds. ODE integration took 49.84348 seconds. Generating with cython method. ------------------------------ The code generation took 5.57521 seconds. ODE integration took 8.31623 seconds. Pendulum with 12 links. ======================= The derivation took 18.45460 seconds. Generating with lambdify method. -------------------------------- The code generation took 1.42644 seconds. ODE integration took 273.37231 seconds. Generating with theano method. ------------------------------ The code generation took 78.84251 seconds. ODE integration took 131.05156 seconds. Generating with cython method. ------------------------------ The code generation took 8.43680 seconds. ODE integration took 4.86380 seconds. Pendulum with 13 links. ======================= The derivation took 23.45742 seconds. Generating with lambdify method. -------------------------------- The code generation took 1.82196 seconds. ODE integration took 393.35416 seconds. Generating with theano method. ------------------------------ The code generation took 97.52843 seconds. ODE integration took 89.04010 seconds. Generating with cython method. ------------------------------ The code generation took 9.41925 seconds. ODE integration took 5.43326 seconds. Pendulum with 14 links. ======================= The derivation took 30.55147 seconds. Generating with lambdify method. -------------------------------- The code generation took 2.27273 seconds. ODE integration took 570.80123 seconds. Generating with theano method. ------------------------------ The code generation took 113.71120 seconds. ODE integration took 215.31465 seconds. Generating with cython method. ------------------------------ The code generation took 17.70605 seconds. ODE integration took 6.69455 seconds. Pendulum with 15 links. ======================= The derivation took 36.66556 seconds. Generating with lambdify method. -------------------------------- The code generation took 2.66347 seconds. ODE integration took 737.08159 seconds. Generating with theano method. ------------------------------ The code generation took 142.86362 seconds. ODE integration took 145.11504 seconds. Generating with cython method. ------------------------------ The code generation took 13.33135 seconds. ODE integration took 7.70627 seconds. Pendulum with 16 links. ======================= The derivation took 43.66726 seconds. Generating with lambdify method. -------------------------------- The code generation took 3.20381 seconds. ODE integration took 960.05649 seconds. Generating with theano method. ------------------------------ The code generation took 168.45397 seconds. ODE integration took 187.29013 seconds. Generating with cython method. ------------------------------ The code generation took 27.08238 seconds. ODE integration took 18.55055 seconds. Pendulum with 17 links. ======================= The derivation took 51.35722 seconds. Generating with lambdify method. -------------------------------- The code generation took 3.76763 seconds. ODE integration took 1180.61167 seconds. Generating with theano method. ------------------------------ The code generation took 204.41705 seconds. ODE integration took 221.36745 seconds. Generating with cython method. ------------------------------ The code generation took 43.39277 seconds. ODE integration took 9.46812 seconds. Pendulum with 18 links. ======================= The derivation took 61.05554 seconds. Generating with lambdify method. -------------------------------- The code generation took 4.47254 seconds. ODE integration took 3045.80599 seconds. Generating with theano method. ------------------------------ The code generation took 246.74129 seconds. ODE integration took 349.42930 seconds. Generating with cython method. ------------------------------ The code generation took 44.48996 seconds. ODE integration took 11.05784 seconds. Pendulum with 19 links. ======================= The derivation took 72.40090 seconds. Generating with lambdify method. -------------------------------- The code generation took 5.22608 seconds. ODE integration took 1921.39760 seconds. Generating with theano method. ------------------------------ The code generation took 287.18570 seconds. ODE integration took 354.38512 seconds. Generating with cython method. ------------------------------ The code generation took 94.10237 seconds. ODE integration took 23.11625 seconds. Pendulum with 20 links. ======================= The derivation took 88.44436 seconds. Generating with lambdify method. -------------------------------- The code generation took 6.04464 seconds. ODE integration took 2374.41430 seconds. Generating with theano method. ------------------------------ The code generation took 361.00938 seconds. ODE integration took 913.89918 seconds. Generating with cython method. ------------------------------ The code generation took 146.42245 seconds. ODE integration took 38.91403 seconds.