Details

Time bar (total: 17.6s)

sample193.0ms

Algorithm
intervals
Results
98.0ms116×body1280valid
50.0ms85×body640valid
17.0ms39×body320valid
10.0ms256×pre80true
4.0ms16×body160valid

simplify5.2s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.9b

localize24.0ms

Local error

Found 3 expressions with local error:

0.2b
(* n (log n))
0.2b
(* (+ n 1) (log (+ n 1)))
6.1b
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

rewrite65.0ms

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:
14.0ms
(* n (log n))
27.0ms
(* (+ n 1) (log (+ n 1)))
22.0ms
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

series419.0ms

Counts
3 → 9
Calls
3 calls:
236.0ms
(* n (log n))
49.0ms
(* (+ n 1) (log (+ n 1)))
134.0ms
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

simplify1.8s

Counts
93 → 93
Iterations
IterNodes
33411
21081
1405
0162

prune707.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 1 expressions with local error:

0.7b
(/ -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))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(/ -1/6 (* n n))

simplify3.2s

Counts
25 → 25
Iterations
IterNodes
44603
3993
2285
1104
044

prune205.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
215
115
012

end0.0ms

sample5.7s

Algorithm
intervals
Results
2.9s3662×body1280valid
1.4s2686×body640valid
949.0ms1260×body320valid
246.0ms8000×pre80true
80.0ms392×body160valid