Details

Time bar (total: 20.8s)

sample144.0ms

Algorithm
intervals
Results
82.0ms117×body1280valid
30.0ms80×body640valid
12.0ms45×body320valid
6.0ms256×pre80true
2.0ms14×body160valid

simplify11.4s

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize33.0ms

Local error

Found 3 expressions with local error:

4.1b
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
0.3b
(* (+ n 1) (log (+ n 1)))
0.3b
(* n (log n))

rewrite52.0ms

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)))
19.0ms
(* (+ n 1) (log (+ n 1)))
10.0ms
(* n (log n))

series477.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
280.0ms
(* n (log n))
140.0ms
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
56.0ms
(* (+ n 1) (log (+ n 1)))

simplify1.4s

Counts
93 → 93

prune640.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize37.0ms

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))

series34.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
34.0ms
(/ 1/6 (* n n))

simplify1.1s

Counts
25 → 25

prune293.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.1s

Algorithm
intervals
Results
2.5s3609×body1280valid
1.7s2602×body640valid
470.0ms1333×body320valid
197.0ms8000×pre80true
117.0ms456×body160valid