Details

Time bar (total: 16.6s)

sample182.0ms

Algorithm
intervals
Results
84.0ms106×body1280valid
52.0ms84×body640valid
21.0ms51×body320valid
8.0ms256×pre80true
4.0ms15×body160valid

simplify5.0s

Counts
1 → 1
Iterations
IterNodes
done5001
83602
71748
6878
5482
4239
3109
243
121
09

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.3b
(* n (log n))
0.3b
(* (+ n 1) (log (+ n 1)))
6.3b
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

rewrite279.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
31×add-sqr-sqrt
28×log-prod
15×add-cube-cbrt
14×distribute-rgt-in distribute-lft-in associate-*l*
pow1
associate-*r* associate--l+
add-cbrt-cube add-exp-log distribute-lft-out
associate--r+ distribute-lft-out-- unswap-sqr
add-log-exp
difference-of-squares
insert-posit16
pow-prod-down associate-*l/ prod-exp log-pow *-commutative cbrt-unprod
sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
3 → 94
Calls
3 calls:
17.0ms
(* n (log n))
55.0ms
(* (+ n 1) (log (+ n 1)))
202.0ms
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

series517.0ms

Counts
3 → 9
Calls
3 calls:
286.0ms
(* n (log n))
65.0ms
(* (+ n 1) (log (+ n 1)))
166.0ms
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

simplify1.5s

Counts
103 → 103
Iterations
IterNodes
done5003
21297
1437
0170

prune357.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 1 expressions with local error:

0.7b
(/ 1/6 (* n n))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt times-frac
37×*-un-lft-identity add-cube-cbrt
15×associate-/r*
12×swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-exp-log
*-commutative unswap-sqr
associate-/l*
cbrt-undiv div-exp
pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 div-inv add-log-exp
Counts
1 → 78
Calls
1 calls:
26.0ms
(/ 1/6 (* n n))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ 1/6 (* n n))

simplify2.2s

Counts
81 → 81
Iterations
IterNodes
done5003
33218
2816
1321
0120

prune342.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample6.1s

Algorithm
intervals
Results
3.5s3606×body1280valid
1.5s2619×body640valid
585.0ms1353×body320valid
277.0ms8000×pre80true
102.0ms422×body160valid