User:RE Boss/Performance Records
This page holds performance records for different algorithms.
Records
Problem Winner Combinations RE Boss Gray codes Binary Gray code Roger Hui Decimal value Gray code RE Boss Overall RE Boss Spiral Order Power Set RE Boss
Ranking performances
To measure the performance of two verbs or more, the __relative execution time__ (rlt) together with the __ relative excution space__ (rls) is used.
The relative execution time (and space) is the execution time, et = 6!:2 (or space, es = 7!:2), divided by the execution time (space) of a fixed verb (or one fixed verb for rlt and another one for rls).
The ranking is done by the __relative peformance__, rlprf, the product of rlt and rls, with lowest product giving first place.
Comparable verbs (and performances)
To avoid a discussion as in Power Sets, verbs (and so their performances) are defined to be __comparable__ if (but not only if!):
1 = v0 -:&(/:~@ ;@(<@, S: 0)) v1
Computing and display
The scores are calculated by
scores=: 5 ts&> ]
and the ranking by
rnkng=: 3 : '([:(,~/:@/:@{.) [:(%<./)"1(,~*/)) &.|: y'
where y is the output of scores.
The display of the ranking can be done by
dspl=: 4 : 0
z=: ',0.2,0.2,0.2'(8!:0) y
z=: ('Place';'rlprf';'rlt';'rls'),z
('Verb';((<' '),&.>x)),.~z
)
NB.example:
('ps3';'ps4')dspl rnkng scores 'ps3 i.15';'ps4 15'
+-----+-----+----+----+-----+
|Place|rlprf|rlt |rls |Verb|
+-----+-----+----+----+-----+
|1 |8.88 |3.82|2.32| ps3 |
+-----+-----+----+----+-----+
|0 |1.00 |1.00|1.00| ps4 |
+-----+-----+----+----+-----+
Or in wiki format
wkdspl=: 3 : 0
hdr=. ;(<'||',LF),~(('||<:>'''''''), ,&'''''''')&.>{.y
hdr, ;(<'||',LF),.~,&.>/"1 ('||<:>';'||<)>';'||<)>';'||<)>';'||<:>'),."1 ":&.>}.y
)
Example:
wkdspl('ps3';'ps4')dspl rnkng scores 'ps3 i.15';'ps4 15'
||<:>'''Place'''||<:>'''rlprf'''||<:>'''rlt'''||<:>'''rls'''||<:>'''Verb'''||
||<:>1||<)>8.88||<)>3.82||<)>2.32||<:> ps3||
||<:>0||<)>1.00||<)>1.00||<)>1.00||<:> ps4||
which looks like
Place rlprf rlt rls Verb 1 8.88 3.82 2.32 ps3 0 1.00 1.00 1.00 ps4