Details

Time bar (total: 17.5s)

sample144.0ms

Algorithm
intervals
Results
68.0ms116×body1280valid
46.0ms88×body640valid
10.0ms34×body320valid
6.0ms256×pre80true
3.0ms18×body160valid

simplify4.8s

Counts
1 → 1
Iterations
IterNodes
123852
111517
101240
91044
8769
7504
6341
5237
4150
393
271
139
09

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.3b
(* n (log n))
0.3b
(* (+ n 1) (log (+ n 1)))
5.8b
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
28×log-prod
25×*-un-lft-identity
19×add-sqr-sqrt
15×add-cube-cbrt
14×distribute-rgt-in distribute-lft-in
pow1
associate-*r* associate--l+
add-cbrt-cube associate-*l* add-exp-log
associate--r+
distribute-lft-out add-log-exp
insert-posit16
pow-prod-down associate-*l/ prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
3 → 84
Calls
3 calls:
7.0ms
(* n (log n))
30.0ms
(* (+ n 1) (log (+ n 1)))
19.0ms
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

series460.0ms

Counts
3 → 9
Calls
3 calls:
273.0ms
(* n (log n))
51.0ms
(* (+ n 1) (log (+ n 1)))
136.0ms
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

simplify1.7s

Counts
93 → 93
Iterations
IterNodes
33815
21424
1697
0162

prune780.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 1 expressions with local error:

0.8b
(/ -1/6 (* n n))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt associate-/l*
cbrt-undiv div-exp
pow1 clear-num associate-/r* frac-2neg prod-exp cbrt-unprod insert-posit16 div-inv add-log-exp
Counts
1 → 22
Calls
1 calls:
7.0ms
(/ -1/6 (* n n))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(/ -1/6 (* n n))

simplify3.2s

Counts
25 → 25
Iterations
IterNodes
63005
51625
41106
3641
2337
1176
044

prune232.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
217
117
012

end0.0ms

sample6.0s

Algorithm
intervals
Results
3.2s3683×body1280valid
1.8s2609×body640valid
506.0ms1308×body320valid
260.0ms8000×pre80true
91.0ms400×body160valid