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.