Details

Time bar (total: 10.5s)

sample203.0ms

Algorithm
intervals
Results
108.0ms106×body1280valid
51.0ms91×body640valid
18.0ms42×body320valid
9.0ms256×pre80true
5.0ms17×body160valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done2004
82004
71748
6878
5482
4239
3109
243
121
09

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.3b
(* n (log n))
0.3b
(* (+ n 1) (log (+ n 1)))
5.6b
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

rewrite66.0ms

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))
31.0ms
(* (+ n 1) (log (+ n 1)))
20.0ms
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

series476.0ms

Counts
3 → 9
Calls
3 calls:
252.0ms
(* n (log n))
61.0ms
(* (+ n 1) (log (+ n 1)))
163.0ms
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

simplify1.1s

Counts
93 → 93
Iterations
IterNodes
done2006
32006
21235
1423
0162

prune396.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:
6.0ms
(/ 1/6 (* n n))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(/ 1/6 (* n n))

simplify817.0ms

Counts
25 → 25
Iterations
IterNodes
done2012
42012
31005
2291
1106
044

prune88.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample5.7s

Algorithm
intervals
Results
2.9s3573×body1280valid
1.8s2625×body640valid
561.0ms1383×body320valid
252.0ms8000×pre80true
124.0ms419×body160valid