Details

Time bar (total: 15.4s)

sample172.0ms

Algorithm
intervals
Results
82.0ms112×body1280valid
50.0ms83×body640valid
17.0ms48×body320valid
8.0ms256×pre80true
3.0ms13×body160valid

simplify3.8s

Counts
1 → 1
Iterations
IterNodes
114084
101771
91248
8937
7645
6496
5348
4234
3109
243
121
09

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.3b
(* n (log n))
0.3b
(* (+ n 1) (log (+ n 1)))
4.8b
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

rewrite55.0ms

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:
6.0ms
(* n (log n))
29.0ms
(* (+ n 1) (log (+ n 1)))
18.0ms
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

series541.0ms

Counts
3 → 9
Calls
3 calls:
315.0ms
(* n (log n))
50.0ms
(* (+ n 1) (log (+ n 1)))
174.0ms
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

simplify1.4s

Counts
93 → 93
Iterations
IterNodes
33410
21085
1406
0162

prune553.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ -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:
6.0ms
(/ -1/6 (* n n))

series29.0ms

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

simplify2.0s

Counts
25 → 25
Iterations
IterNodes
44097
3969
2277
1105
044

prune201.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
217
117
012

end0.0ms

sample6.6s

Algorithm
intervals
Results
3.9s3670×body1280valid
1.7s2567×body640valid
519.0ms1346×body320valid
239.0ms8000×pre80true
95.0ms417×body160valid