Details

Time bar (total: 16.2s)

sample155.0ms

Algorithm
intervals
Results
82.0ms123×body1280valid
38.0ms80×body640valid
12.0ms36×body320valid
7.0ms256×pre80true
4.0ms17×body160valid

simplify4.9s

Counts
1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize41.0ms

Local error

Found 3 expressions with local error:

6.3b
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
0.3b
(* (+ n 1) (log (+ n 1)))
0.3b
(* n (log n))

rewrite61.0ms

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
28.0ms
(* (+ n 1) (log (+ n 1)))
18.0ms
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
14.0ms
(* n (log n))

series430.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
239.0ms
(* n (log n))
147.0ms
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
44.0ms
(* (+ n 1) (log (+ n 1)))

simplify1.2s

Counts
93 → 93

prune725.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 1 expressions with local error:

1.1b
(/ -1/6 (* n n))

rewrite13.0ms

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

series37.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
37.0ms
(/ -1/6 (* n n))

simplify1.8s

Counts
25 → 25

prune209.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.5s

Algorithm
intervals
Results
3.8s3588×body1280valid
1.6s2641×body640valid
608.0ms1361×body320valid
240.0ms8000×pre80true
97.0ms410×body160valid