Details

Time bar (total: 17.4s)

sample137.0ms

Algorithm
intervals
Results
68.0ms114×body1280valid
39.0ms93×body640valid
13.0ms41×body320valid
7.0ms256×pre80true
1.0msbody160valid

simplify4.4s

Counts
1 → 1
Iterations
IterNodes
114037
101949
91321
8957
7672
6469
5319
4207
3108
241
119
09

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize40.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (+ n 1) (log (+ n 1)))
0.3b
(* n (log n))
2.9b
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

rewrite74.0ms

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:
21.0ms
(* (+ n 1) (log (+ n 1)))
18.0ms
(* n (log n))
34.0ms
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

series498.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* (+ n 1) (log (+ n 1)))
284.0ms
(* n (log n))
172.0ms
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

simplify1.7s

Counts
93 → 93
Iterations
IterNodes
33365
21094
1405
0162

prune658.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ 1/6 (* n n))

rewrite14.0ms

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:
13.0ms
(/ 1/6 (* n n))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ 1/6 (* n n))

simplify3.3s

Counts
25 → 25
Iterations
IterNodes
44603
3993
2285
1104
044

prune265.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
213
113
012

end0.0ms

sample6.2s

Algorithm
intervals
Results
3.6s3660×body1280valid
1.6s2681×body640valid
468.0ms1270×body320valid
241.0ms8000×pre80true
91.0ms389×body160valid