Details

Time bar (total: 13.2s)

sample92.0ms

Algorithm
intervals
Results
46.0ms118×body1280valid
22.0ms86×body640valid
7.0ms39×body320valid
4.0ms256×pre80true
2.0ms13×body160valid

simplify4.5s

Counts
1 → 1
Iterations
IterNodes
done5002
134900
123723
113170
102700
91772
81205
7919
6716
5496
4240
3112
241
118
09

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize21.0ms

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)))

rewrite69.0ms

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:
36.0ms
(* (+ n 1.0) (log (+ n 1.0)))
7.0ms
(* n (log n))
21.0ms
(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series705.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(* (+ n 1.0) (log (+ n 1.0)))
323.0ms
(* n (log n))
300.0ms
(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify1.4s

Counts
90 → 90
Iterations
IterNodes
done5000
21315
1455
0171

prune543.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ 0.16666666666666669 (* n n))

rewrite12.0ms

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:
11.0ms
(/ 0.16666666666666669 (* n n))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(/ 0.16666666666666669 (* n n))

simplify1.9s

Counts
24 → 24
Iterations
IterNodes
done5000
31448
2324
1102
043

prune146.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations
IterNodes
done16
116
013

end0.0ms

sample3.7s

Algorithm
intervals
Results
2.1s3576×body1280valid
934.0ms2702×body640valid
267.0ms1302×body320valid
167.0ms8000×pre80true
95.0ms420×body160valid