Last active
August 29, 2015 14:07
-
-
Save cswiercz/13c55fd707248301e734 to your computer and use it in GitHub Desktop.
abelfunctions Issue #51 - Simple Discriminant Path Construction Performance (Code)
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| import numpy | |
| import sympy | |
| import abelfunctions as ab | |
| from sympy.abc import x,y | |
| # construct a Riemann surface | |
| f = -x**7 + 2*x**3*y + y**3 | |
| X = ab.RiemannSurface(f,x,y) | |
| # get a discriminant place (the ones with x=0 are the current working | |
| # ones in this example surface) | |
| places = X(0) | |
| for P in places: | |
| print P | |
| # output: | |
| # | |
| # x(t) = (1)t**1 | |
| # y(t) = + (1/2)t**4 + (-1/16)t**9+ O(t**10) | |
| # | |
| # x(t) = (-1/2)t**2 | |
| # y(t) = + (-1/2)t**3 + (-1/64)t**8+ O(t**9) | |
| # compute the path and profile the stats | |
| P = places[1] | |
| import cProfile | |
| import pstats | |
| cProfile.run("gamma = X.path(P)",'path.profile') | |
| p = pstats.Stats('path.profile') | |
| p.strip_dirs() | |
| p.sort_stats('time').print_stats(15) | |
| p.sort_stats('cumulative').print_stats(15) | |
| p.sort_stats('calls').print_stats(15) |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| Fri Oct 17 10:30:07 2014 path.profile | |
| 114480 function calls (110626 primitive calls) in 0.302 seconds | |
| Ordered by: internal time | |
| List reduced from 827 to 15 due to restriction <15> | |
| ncalls tottime percall cumtime percall filename:lineno(function) | |
| 2285/1546 0.020 0.000 0.129 0.000 cache.py:78(wrapper) | |
| 15865 0.013 0.000 0.013 0.000 {isinstance} | |
| 251 0.010 0.000 0.022 0.000 facts.py:481(deduce_all_facts) | |
| 820 0.009 0.000 0.015 0.000 basic.py:333(__eq__) | |
| 4258/3875 0.009 0.000 0.030 0.000 sympify.py:52(sympify) | |
| 83/82 0.007 0.000 0.043 0.001 mul.py:95(flatten) | |
| 2938 0.006 0.000 0.011 0.000 numbers.py:400(__hash__) | |
| 4751/4531 0.005 0.000 0.007 0.000 basic.py:100(__hash__) | |
| 329/164 0.005 0.000 0.049 0.000 evalf.py:1180(evalf) | |
| 1643 0.005 0.000 0.007 0.000 numbers.py:1554(__new__) | |
| 3017 0.005 0.000 0.005 0.000 facts.py:464(_tell) | |
| 1715/916 0.005 0.000 0.118 0.000 decorators.py:70(__sympifyit_wrapper) | |
| 2197 0.004 0.000 0.011 0.000 numbers.py:1395(__hash__) | |
| 126/12 0.004 0.000 0.018 0.002 function.py:985(__new__) | |
| 4632 0.004 0.000 0.005 0.000 facts.py:515(<genexpr>) | |
| Fri Oct 17 10:30:07 2014 path.profile | |
| 114480 function calls (110626 primitive calls) in 0.302 seconds | |
| Ordered by: cumulative time | |
| List reduced from 827 to 15 due to restriction <15> | |
| ncalls tottime percall cumtime percall filename:lineno(function) | |
| 1 0.000 0.000 0.302 0.302 <string>:1(<module>) | |
| 1 0.000 0.000 0.302 0.302 {method 'path' of 'abelfunctions.riemann_surface.RiemannSurface' objects} | |
| 1 0.000 0.000 0.302 0.302 riemann_surface_path_factory.py:186(path_to_place) | |
| 1 0.001 0.001 0.302 0.302 riemann_surface_path_factory.py:199(_path_to_discriminant_place) | |
| 2285/1546 0.020 0.000 0.129 0.000 cache.py:78(wrapper) | |
| 24 0.000 0.000 0.119 0.005 puiseux.py:1477(evalf) | |
| 1715/916 0.005 0.000 0.118 0.000 decorators.py:70(__sympifyit_wrapper) | |
| 526/493 0.001 0.000 0.079 0.000 decorators.py:108(binary_op_wrapper) | |
| 24 0.001 0.000 0.073 0.003 puiseux.py:1460(eval) | |
| 1 0.000 0.000 0.071 0.071 riemann_surface_path_factory.py:242(_path_to_regular_place) | |
| 1 0.003 0.003 0.066 0.066 riemann_surface_path_factory.py:456(RiemannSurfacePath_from_xpath) | |
| 173/164 0.002 0.000 0.053 0.000 evalf.py:1235(evalf) | |
| 146/116 0.002 0.000 0.053 0.000 operations.py:27(__new__) | |
| 3 0.001 0.000 0.052 0.017 puiseux.py:962(extend_to_t) | |
| 329/164 0.005 0.000 0.049 0.000 evalf.py:1180(evalf) | |
| Fri Oct 17 10:30:07 2014 path.profile | |
| 114480 function calls (110626 primitive calls) in 0.302 seconds | |
| Ordered by: call count | |
| List reduced from 827 to 15 due to restriction <15> | |
| ncalls tottime percall cumtime percall filename:lineno(function) | |
| 15865 0.013 0.000 0.013 0.000 {isinstance} | |
| 5046 0.002 0.000 0.002 0.000 {method 'get' of 'dict' objects} | |
| 4751/4531 0.005 0.000 0.007 0.000 basic.py:100(__hash__) | |
| 4632 0.004 0.000 0.005 0.000 facts.py:515(<genexpr>) | |
| 4258/3875 0.009 0.000 0.030 0.000 sympify.py:52(sympify) | |
| 3017 0.005 0.000 0.005 0.000 facts.py:464(_tell) | |
| 2938 0.006 0.000 0.011 0.000 numbers.py:400(__hash__) | |
| 2907 0.003 0.000 0.003 0.000 {hasattr} | |
| 2857/2800 0.001 0.000 0.001 0.000 {len} | |
| 2285/1546 0.020 0.000 0.129 0.000 cache.py:78(wrapper) | |
| 2197 0.004 0.000 0.011 0.000 numbers.py:1395(__hash__) | |
| 2067 0.003 0.000 0.009 0.000 sympify.py:320(_sympify) | |
| 2052 0.001 0.000 0.001 0.000 basic.py:700(args) | |
| 1717 0.001 0.000 0.001 0.000 {method 'items' of 'dict' objects} | |
| 1715/916 0.005 0.000 0.118 0.000 decorators.py:70(__sympifyit_wrapper) |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| This new performance data is from the same test above but where all of the | |
| internal Puiseux data is first coerced to numerical (complex) types as | |
| opposed to using "numpy.complex(sympy_expression.n())" with every | |
| evaluation. | |
| Fri Oct 17 11:16:20 2014 path.profile | |
| 81921 function calls (79472 primitive calls) in 0.212 seconds | |
| Ordered by: internal time | |
| List reduced from 822 to 15 due to restriction <15> | |
| ncalls tottime percall cumtime percall filename:lineno(function) | |
| 1731/1478 0.014 0.000 0.068 0.000 cache.py:78(wrapper) | |
| 13091 0.010 0.000 0.011 0.000 {isinstance} | |
| 3444/3067 0.007 0.000 0.026 0.000 sympify.py:52(sympify) | |
| 568 0.006 0.000 0.010 0.000 basic.py:333(__eq__) | |
| 126/12 0.004 0.000 0.018 0.002 function.py:985(__new__) | |
| 83 0.004 0.000 0.010 0.000 polyoptions.py:126(__init__) | |
| 1750 0.004 0.000 0.006 0.000 numbers.py:400(__hash__) | |
| 3057/3001 0.003 0.000 0.004 0.000 basic.py:100(__hash__) | |
| 218/135 0.003 0.000 0.031 0.000 evalf.py:1180(evalf) | |
| 1 0.003 0.003 0.066 0.066 riemann_surface_path_factory.py:456(RiemannSurfacePath_from_xpath) | |
| 89 0.003 0.000 0.007 0.000 facts.py:481(deduce_all_facts) | |
| 1150/756 0.003 0.000 0.064 0.000 decorators.py:70(__sympifyit_wrapper) | |
| 50 0.003 0.000 0.011 0.000 polyutils.py:144(_parallel_dict_from_expr_if_gens) | |
| 1246 0.003 0.000 0.005 0.000 numbers.py:1554(__new__) | |
| 2202 0.003 0.000 0.003 0.000 {hasattr} | |
| Fri Oct 17 11:16:20 2014 path.profile | |
| 81921 function calls (79472 primitive calls) in 0.212 seconds | |
| Ordered by: cumulative time | |
| List reduced from 822 to 15 due to restriction <15> | |
| ncalls tottime percall cumtime percall filename:lineno(function) | |
| 1 0.000 0.000 0.212 0.212 <string>:1(<module>) | |
| 1 0.000 0.000 0.212 0.212 {method 'path' of 'abelfunctions.riemann_surface.RiemannSurface' objects} | |
| 1 0.000 0.000 0.212 0.212 riemann_surface_path_factory.py:186(path_to_place) | |
| 1 0.001 0.001 0.212 0.212 riemann_surface_path_factory.py:199(_path_to_discriminant_place) | |
| 1 0.000 0.000 0.070 0.070 riemann_surface_path_factory.py:242(_path_to_regular_place) | |
| 1731/1478 0.014 0.000 0.068 0.000 cache.py:78(wrapper) | |
| 3 0.001 0.000 0.067 0.022 puiseux.py:967(extend_to_t) | |
| 1 0.003 0.003 0.066 0.066 riemann_surface_path_factory.py:456(RiemannSurfacePath_from_xpath) | |
| 1150/756 0.003 0.000 0.064 0.000 decorators.py:70(__sympifyit_wrapper) | |
| 56 0.001 0.000 0.041 0.001 polytools.py:69(__new__) | |
| 1 0.000 0.000 0.039 0.039 puiseux.py:619(puiseux) | |
| 144/135 0.001 0.000 0.036 0.000 evalf.py:1235(evalf) | |
| 52 0.000 0.000 0.032 0.001 polytools.py:194(_from_expr) | |
| 42 0.001 0.000 0.032 0.001 basic.py:758(as_poly) | |
| 218/135 0.003 0.000 0.031 0.000 evalf.py:1180(evalf) | |
| Fri Oct 17 11:16:20 2014 path.profile | |
| 81921 function calls (79472 primitive calls) in 0.212 seconds | |
| Ordered by: call count | |
| List reduced from 822 to 15 due to restriction <15> | |
| ncalls tottime percall cumtime percall filename:lineno(function) | |
| 13091 0.010 0.000 0.011 0.000 {isinstance} | |
| 3444/3067 0.007 0.000 0.026 0.000 sympify.py:52(sympify) | |
| 3057/3001 0.003 0.000 0.004 0.000 basic.py:100(__hash__) | |
| 2488 0.001 0.000 0.001 0.000 {method 'get' of 'dict' objects} | |
| 2202 0.003 0.000 0.003 0.000 {hasattr} | |
| 1940/1883 0.001 0.000 0.001 0.000 {len} | |
| 1750 0.004 0.000 0.006 0.000 numbers.py:400(__hash__) | |
| 1731/1478 0.014 0.000 0.068 0.000 cache.py:78(wrapper) | |
| 1590 0.001 0.000 0.001 0.000 basic.py:700(args) | |
| 1572 0.002 0.000 0.007 0.000 sympify.py:320(_sympify) | |
| 1566 0.001 0.000 0.002 0.000 facts.py:515(<genexpr>) | |
| 1494 0.000 0.000 0.000 0.000 polyoptions.py:38(postprocess) | |
| 1246 0.003 0.000 0.005 0.000 numbers.py:1554(__new__) | |
| 1243 0.002 0.000 0.006 0.000 numbers.py:1395(__hash__) | |
| 1222 0.001 0.000 0.001 0.000 {method 'append' of 'list' objects} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment