Opened 6 years ago
Closed 4 years ago
#18970 closed defect (fixed)
Log function and documentation revamp
Reported by:  rws  Owned by:  

Priority:  major  Milestone:  sage8.1 
Component:  symbolics  Keywords:  
Cc:  Merged in:  
Authors:  Ralf Stephan  Reviewers:  Travis Scrimshaw 
Report Upstream:  N/A  Work issues:  
Branch:  b0486c8 (Commits, GitHub, GitLab)  Commit:  b0486c8b520b278960485499f2b46fdacc2fce83 
Dependencies:  #21623, #21517, #21518  Stopgaps: 
Description (last modified by )
From https://groups.google.com/forum/?hl=en#!topic/sagedevel/hwm7V8S3hE
sage: log(int(8),2) log(8)/log(2) sage: log(8,int(2)) log(8)/log(2) sage: log(8,2) 3 Also: sage: log(1/8,2) log(1/8)/log(2)
sage: ((1)^(I*log(3)/pi)).n() 3.00000000000000 sage: log(3,1) ... ValueError: m must be positive
Change History (40)
comment:1 Changed 6 years ago by
 Summary changed from always simplify log(a^m,a) to m for any m coercible to Integer to always simplify log(a^m,a) to m for any a,m coercible to Integer
comment:2 Changed 6 years ago by
 Description modified (diff)
comment:3 Changed 6 years ago by
 Branch set to u/rws/always_simplify_log_a_m_a__to_m_for_any_a_m_coercible_to_integer
comment:4 Changed 6 years ago by
 Commit set to 0086ec09a89cbdf71ba5b718818dd2de324e892a
 Status changed from new to needs_review
comment:5 Changed 6 years ago by
 Commit changed from 0086ec09a89cbdf71ba5b718818dd2de324e892a to 92d9762ad28880ef81a4781a0eee34b50accc1c6
Branch pushed to git repo; I updated commit sha1. New commits:
92d9762  18970: fix

comment:6 Changed 6 years ago by
 Status changed from needs_review to needs_info
Before this patch
sage: %timeit log(QQ(8),2) The slowest run took 5.08 times longer than the fastest. This could mean that an intermediate result is being cached 10000 loops, best of 3: 39.4 µs per loop sage: %timeit log(QQ(8),3) 10000 loops, best of 3: 38.1 µs per loop sage: %timeit log(ZZ(8),3) 10000 loops, best of 3: 32.8 µs per loop sage: %timeit log(ZZ(8),2) The slowest run took 14.52 times longer than the fastest. This could mean that an intermediate result is being cached 1000000 loops, best of 3: 1.12 µs per loop
After
sage: %timeit log(QQ(8),3) The slowest run took 37.28 times longer than the fastest. This could mean that an intermediate result is being cached 10000 loops, best of 3: 48.8 µs per loop sage: %timeit log(QQ(8),2) The slowest run took 8.69 times longer than the fastest. This could mean that an intermediate result is being cached 100000 loops, best of 3: 5.43 µs per loop sage: %timeit log(ZZ(8),3) 10000 loops, best of 3: 48.4 µs per loop sage: %timeit log(ZZ(8),2) The slowest run took 8.80 times longer than the fastest. This could mean that an intermediate result is being cached 100000 loops, best of 3: 5.34 µs per loop
I've repeated (differently) it due to the cachingwarnings. Before
sage: timeit('log(QQ(8),3)', number=1, repeat=1) 1 loops, best of 1: 191 µs per loop sage: timeit('log(QQ(8),2)', number=1, repeat=1) 1 loops, best of 1: 150 µs per loop sage: timeit('log(ZZ(8),3)', number=1, repeat=1) 1 loops, best of 1: 125 µs per loop sage: timeit('log(ZZ(8),2)', number=1, repeat=1) 1 loops, best of 1: 24.1 µs per loop
After
sage: timeit('log(QQ(8),3)', number=1, repeat=1) 1 loops, best of 1: 1.93 ms per loop sage: timeit('log(QQ(8),2)', number=1, repeat=1) 1 loops, best of 1: 45.1 µs per loop sage: timeit('log(ZZ(8),3)', number=1, repeat=1) 1 loops, best of 1: 158 µs per loop sage: timeit('log(ZZ(8),2)', number=1, repeat=1) 1 loops, best of 1: 45.1 µs per loop
In particular log(QQ(8),3)
becomes much slower (and only log(QQ(8),2)
gains speed).
comment:7 Changed 6 years ago by
sage: log(QQ(8),2).parent() Integer Ring
which is a different behavior compared to the common/similar arithmetic operations (e.g. (QQ(2)^ZZ(1)).parent()
is Rational Field
and not Integer Ring
) and I would expect that the logarithm of a rational is again a rational (and not converted to an integer).
comment:8 followup: ↓ 9 Changed 6 years ago by
Is this a onetime comment, or do you plan to review to the end?
comment:9 in reply to: ↑ 8 Changed 6 years ago by
Replying to rws:
Is this a onetime comment, or do you plan to review to the end?
Does this make a difference on how to react to my comment? ;) ....or more seriously: I am not sure if I feel qualified enough to review a change in the log
function. I just saw the discussion on sagedevel and looked into the ticket and decided to give some comments.
comment:10 Changed 5 years ago by
 Milestone changed from sage6.9 to sage7.4
comment:11 Changed 5 years ago by
 Status changed from needs_info to needs_work
The code at hand unconditionally tries to coerce the arguments into ZZ,QQ instead of checking the type first. Apart from the speed issue it also would benefit from moving completely into GiNaC: atm some cases are intercepted unnecessarily in Function_log.__call__
which itself awkwardly calls Pynac.
comment:12 Changed 5 years ago by
I guess some of the speed regression is due to the at least partially redundant checking whether arg == base**v
, and of course now in addition computing the valuation first in case the latter does not hold. (At least it seemed to when I looked at it yesterday...)
Not sure how much the probably superfluous coercion contributes.
comment:13 Changed 5 years ago by
 Branch changed from u/rws/always_simplify_log_a_m_a__to_m_for_any_a_m_coercible_to_integer to u/rws/189701
comment:14 Changed 5 years ago by
 Commit changed from 92d9762ad28880ef81a4781a0eee34b50accc1c6 to 11a81ee44404bf5baa8d2de942796f44f785de4c
 Dependencies set to pynac0.6.91
comment:15 Changed 5 years ago by
Timings with this branch. Before:
sage: %timeit log(QQ(8),2) The slowest run took 10.96 times longer than the fastest. This could mean that an intermediate result is being cached. 10000 loops, best of 3: 40.1 µs per loop sage: %timeit log(QQ(8),2) 10000 loops, best of 3: 40.2 µs per loop sage: %timeit log(QQ(8),3) 10000 loops, best of 3: 40.5 µs per loop sage: %timeit log(ZZ(8),3) 10000 loops, best of 3: 34.4 µs per loop sage: %timeit log(ZZ(8),2) The slowest run took 19.11 times longer than the fastest. This could mean that an intermediate result is being cached. 1000000 loops, best of 3: 886 ns per loop
After:
sage: %timeit log(QQ(8),2) The slowest run took 15.53 times longer than the fastest. This could mean that an intermediate result is being cached. 10000 loops, best of 3: 26.7 µs per loop sage: %timeit log(QQ(8),3) The slowest run took 10.80 times longer than the fastest. This could mean that an intermediate result is being cached. 10000 loops, best of 3: 26.8 µs per loop sage: %timeit log(ZZ(8),3) 10000 loops, best of 3: 30.2 µs per loop sage: %timeit log(ZZ(8),2) The slowest run took 17.37 times longer than the fastest. This could mean that an intermediate result is being cached. 1000000 loops, best of 3: 686 ns per loop
The single run measurements vary so much from run to run that I refrain from giving them here. The After values of timeit('log(QQ(8),3)', number=1, repeat=1)
are however in the same range as the Before values (as well as the others).
comment:16 Changed 5 years ago by
 Description modified (diff)
 Summary changed from always simplify log(a^m,a) to m for any a,m coercible to Integer to Log function bugs with int and negative base
comment:17 Changed 5 years ago by
 Branch u/rws/189701 deleted
 Commit 11a81ee44404bf5baa8d2de942796f44f785de4c deleted
 Dependencies changed from pynac0.6.91 to pynac0.6.91, #21517, #21518
comment:18 Changed 5 years ago by
 Branch set to u/rws/log_function_bugs_with_int_and_negative_base
comment:19 Changed 5 years ago by
 Commit set to 02427f6475206379a32c0ac9119d83d7832a34c4
 Dependencies changed from pynac0.6.91, #21517, #21518 to #21623, #21517, #21518
New commits:
02427f6  redo log function

comment:20 Changed 5 years ago by
 Status changed from needs_work to needs_review
comment:21 Changed 5 years ago by
 Commit changed from 02427f6475206379a32c0ac9119d83d7832a34c4 to 456cc14d40a5dd9f1e7924bea9b97e097dd10b5d
comment:22 Changed 5 years ago by
 Summary changed from Log function bugs with int and negative base to Log function and documentation revamp
comment:23 Changed 5 years ago by
 Branch changed from u/rws/log_function_bugs_with_int_and_negative_base to u/rws/18970
comment:24 Changed 4 years ago by
 Branch changed from u/rws/18970 to u/rws/189702
comment:25 Changed 4 years ago by
 Commit changed from 456cc14d40a5dd9f1e7924bea9b97e097dd10b5d to 838c1fd515514355bc2ad86a866514667109b60d
comment:26 Changed 4 years ago by
 Milestone changed from sage7.4 to sage8.0
comment:27 Changed 4 years ago by
 Commit changed from 838c1fd515514355bc2ad86a866514667109b60d to 3c340011c02cd3881b6661dc2114a1696ad81c8e
Branch pushed to git repo; I updated commit sha1. New commits:
3c34001  Merge branch 'develop' into t/18970/189702

comment:28 Changed 4 years ago by
 Milestone changed from sage8.0 to sage8.1
comment:30 Changed 4 years ago by
 Commit changed from 3c340011c02cd3881b6661dc2114a1696ad81c8e to e46bc475d7e399d4e4d5c9785a0e1e84335a0f59
comment:31 Changed 4 years ago by
 Status changed from needs_work to needs_review
comment:32 Changed 4 years ago by
 Status changed from needs_review to needs_work
Needs another rebase over beta9.
comment:33 Changed 4 years ago by
 Commit changed from e46bc475d7e399d4e4d5c9785a0e1e84335a0f59 to 7ab331ecfa18257d276d66b8eeda5d01616e54c5
Branch pushed to git repo; I updated commit sha1. New commits:
7ab331e  Merge branch 'develop' into t/18970/189702

comment:34 Changed 4 years ago by
 Status changed from needs_work to needs_review
comment:35 Changed 4 years ago by
 Commit changed from 7ab331ecfa18257d276d66b8eeda5d01616e54c5 to b3b9a525146b9a32e0c2e1bc77b1883255e239ec
Branch pushed to git repo; I updated commit sha1. New commits:
b3b9a52  18970: fix log usage

comment:36 Changed 4 years ago by
 Branch changed from u/rws/189702 to u/rws/189703
comment:37 Changed 4 years ago by
 Commit changed from b3b9a525146b9a32e0c2e1bc77b1883255e239ec to b0486c8b520b278960485499f2b46fdacc2fce83
Fixes were added, cruft removed, and it all squashed.
New commits:
b0486c8  18970: Log function and documentation revamp

comment:38 Changed 4 years ago by
 Reviewers set to Travis Scrimshaw
 Status changed from needs_review to positive_review
LGTM. Timings on my laptop with branch:
sage: %timeit log(QQ(8),2) The slowest run took 29.31 times longer than the fastest. This could mean that an intermediate result is being cached. 1000000 loops, best of 3: 1.57 µs per loop sage: %timeit log(QQ(8),3) The slowest run took 4.03 times longer than the fastest. This could mean that an intermediate result is being cached. 10000 loops, best of 3: 35.5 µs per loop sage: %timeit log(ZZ(8),3) 10000 loops, best of 3: 33 µs per loop sage: %timeit log(ZZ(8),2) The slowest run took 16.93 times longer than the fastest. This could mean that an intermediate result is being cached. 1000000 loops, best of 3: 887 ns per loop
vs. with develop
:
sage: %timeit log(QQ(8),2) The slowest run took 14987.26 times longer than the fastest. This could mean that an intermediate result is being cached. 1000000 loops, best of 3: 1.6 µs per loop sage: %timeit log(QQ(8),3) 10000 loops, best of 3: 43.2 µs per loop sage: %timeit log(ZZ(8),3) The slowest run took 4.42 times longer than the fastest. This could mean that an intermediate result is being cached. 10000 loops, best of 3: 38.9 µs per loop sage: %timeit log(ZZ(8),2) The slowest run took 14.23 times longer than the fastest. This could mean that an intermediate result is being cached. 1000000 loops, best of 3: 1.06 µs per loop
comment:39 Changed 4 years ago by
Thanks.
comment:40 Changed 4 years ago by
 Branch changed from u/rws/189703 to b0486c8b520b278960485499f2b46fdacc2fce83
 Resolution set to fixed
 Status changed from positive_review to closed
New commits:
18970: always simplify log(a^m,a) if possible