Details

Time bar (total: 17.4s)

sample183.0ms

Algorithm
intervals
Results
80.0ms104×body1280valid
66.0ms94×body640valid
15.0ms45×body320valid
8.0ms256×pre80true
3.0ms13×body160valid

simplify5.0s

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.9b

localize19.0ms

Local error

Found 3 expressions with local error:

5.4b
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
0.2b
(* n (log n))
0.2b
(* (+ n 1) (log (+ n 1)))

rewrite48.0ms

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
20.0ms
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
18.0ms
(* (+ n 1) (log (+ n 1)))
7.0ms
(* n (log n))

series515.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
293.0ms
(* n (log n))
180.0ms
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
43.0ms
(* (+ n 1) (log (+ n 1)))

simplify1.8s

Counts
93 → 93

prune749.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1/6 n)
0.1b
(/ (/ 1/6 n) n)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/l*
add-cbrt-cube add-exp-log
associate-/r* div-inv
cbrt-undiv div-exp
pow1 clear-num frac-2neg insert-posit16 add-log-exp
associate-/l/
Counts
2 → 99
Calls
2 calls:
Slowest
7.0ms
(/ (/ 1/6 n) n)
4.0ms
(/ 1/6 n)

series80.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
43.0ms
(/ (/ 1/6 n) n)
36.0ms
(/ 1/6 n)

simplify2.0s

Counts
105 → 105

prune1.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.9s

Algorithm
intervals
Results
3.4s3598×body1280valid
1.5s2644×body640valid
523.0ms1316×body320valid
235.0ms8000×pre80true
137.0ms442×body160valid