Details

Time bar (total: 12.2s)

sample185.0ms

Algorithm
intervals
Results
90.0ms131×body1280valid
35.0ms79×body640valid
29.0ms256×pre80true
11.0ms37×body320valid
2.0msbody160valid

simplify4.4s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (+ n 1.0) (log (+ n 1.0)))
0.3b
(* n (log n))
4.4b
(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

rewrite59.0ms

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:
22.0ms
(* (+ n 1.0) (log (+ n 1.0)))
7.0ms
(* n (log n))
27.0ms
(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series631.0ms

Counts
3 → 9
Calls
3 calls:
100.0ms
(* (+ n 1.0) (log (+ n 1.0)))
281.0ms
(* n (log n))
249.0ms
(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify1.3s

Counts
90 → 90
Iterations
IterNodes
done5002
22185
1460
0171

prune439.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ 0.16666666666666669 (* n n))

rewrite13.0ms

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:
12.0ms
(/ 0.16666666666666669 (* n n))

series28.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(/ 0.16666666666666669 (* n n))

simplify761.0ms

Counts
24 → 24
Iterations
IterNodes
done5001
2579
1109
043

prune165.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations
IterNodes
done16
116
013

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.9s3659×body1280valid
1.4s2604×body640valid
358.0ms1323×body320valid
187.0ms8000×pre80true
54.0ms414×body160valid