Details

Time bar (total: 11.9s)

sample91.0ms

Algorithm
intervals
Results
45.0ms118×body1280valid
23.0ms86×body640valid
7.0ms39×body320valid
3.0ms256×pre80true
1.0ms13×body160valid

simplify3.8s

Counts
1 → 1
Iterations
IterNodes
done5001
51565
4407
3123
243
118
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (+ n 1.0) (log (+ n 1.0)))
0.3b
(* n (log n))
4.1b
(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

rewrite55.0ms

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
pow-prod-down associate-*l/ prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
3 → 81
Calls
3 calls:
23.0ms
(* (+ n 1.0) (log (+ n 1.0)))
7.0ms
(* n (log n))
22.0ms
(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series589.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(* (+ n 1.0) (log (+ n 1.0)))
256.0ms
(* n (log n))
254.0ms
(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify1.6s

Counts
90 → 90
Iterations
IterNodes
done5002
22185
1460
0171

prune442.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ 0.16666666666666669 (* n n))

rewrite8.0ms

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 div-inv add-log-exp
Counts
1 → 21
Calls
1 calls:
7.0ms
(/ 0.16666666666666669 (* n n))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/ 0.16666666666666669 (* n n))

simplify721.0ms

Counts
24 → 24
Iterations
IterNodes
done5001
2579
1109
043

prune133.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
done16
116
013

end0.0ms

sample4.4s

Algorithm
intervals
Results
2.0s3576×body1280valid
1.7s2702×body640valid
350.0ms1302×body320valid
222.0ms8000×pre80true
63.0ms420×body160valid