Details

Time bar (total: 17.2s)

sample152.0ms

Algorithm
intervals
Results
85.0ms114×body1280valid
35.0ms81×body640valid
15.0ms52×body320valid
6.0ms256×pre80true
2.0msbody160valid

simplify4.8s

Counts
1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize39.0ms

Local error

Found 3 expressions with local error:

4.4b
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
0.2b
(* (+ n 1) (log (+ n 1)))
0.2b
(* n (log n))

rewrite89.0ms

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
38.0ms
(* (+ n 1) (log (+ n 1)))
36.0ms
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
13.0ms
(* n (log n))

series578.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
326.0ms
(* n (log n))
185.0ms
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
67.0ms
(* (+ n 1) (log (+ n 1)))

simplify1.3s

Counts
93 → 93

prune751.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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
7.0ms
(/ -1/6 (* n n))

series40.0ms

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

simplify2.9s

Counts
25 → 25

prune210.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.2s

Algorithm
intervals
Results
3.4s3587×body1280valid
1.5s2601×body640valid
834.0ms1357×body320valid
284.0ms8000×pre80true
100.0ms455×body160valid