Details

Time bar (total: 16.9s)

sample165.0ms

Algorithm
intervals
Results
87.0ms118×body1280valid
43.0ms87×body640valid
13.0ms42×body320valid
8.0ms256×pre80true
2.0msbody160valid

simplify5.2s

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize19.0ms

Local error

Found 3 expressions with local error:

4.6b
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
0.2b
(* (+ n 1) (log (+ n 1)))
0.2b
(* n (log n))

rewrite54.0ms

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:
Slowest
22.0ms
(* (+ n 1) (log (+ n 1)))
18.0ms
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
12.0ms
(* n (log n))

series490.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
297.0ms
(* n (log n))
139.0ms
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
54.0ms
(* (+ n 1) (log (+ n 1)))

simplify1.4s

Counts
93 → 93

prune711.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:
Slowest
6.0ms
(/ -1/6 (* n n))

series29.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
29.0ms
(/ -1/6 (* n n))

simplify3.3s

Counts
25 → 25

prune196.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.3s

Algorithm
intervals
Results
2.8s3614×body1280valid
1.6s2653×body640valid
413.0ms1306×body320valid
231.0ms8000×pre80true
102.0ms427×body160valid