Details

Time bar (total: 6.0s)

sample139.0ms

Algorithm
intervals
Results
62.0ms119×body1280valid
46.0ms90×body640valid
8.0ms36×body320valid
4.0ms256×pre80true
2.0ms11×body160valid

simplify210.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.9b

localize17.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (+ n 1.0) (log (+ n 1.0)))
0.3b
(* n (log n))
3.5b
(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

rewrite114.0ms

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-exp-log associate-*l* add-cbrt-cube
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:
69.0ms
(* (+ n 1.0) (log (+ n 1.0)))
19.0ms
(* n (log n))
24.0ms
(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series589.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(* (+ n 1.0) (log (+ n 1.0)))
265.0ms
(* n (log n))
243.0ms
(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify57.0ms

Counts
90 → 90

prune302.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ (- 0.16666666666666669) (pow n 2))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
50×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
33×unpow-prod-down
27×distribute-lft-neg-in distribute-rgt-neg-in
11×unpow2 sqr-pow
10×associate-/l*
neg-mul-1
associate-/r*
add-exp-log
div-exp add-cbrt-cube
pow1 cbrt-undiv neg-sub0 pow-to-exp frac-2neg div-sub distribute-frac-neg pow-exp clear-num div-inv add-log-exp
Counts
1 → 114
Calls
1 calls:
27.0ms
(/ (- 0.16666666666666669) (pow n 2))

series31.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(/ (- 0.16666666666666669) (pow n 2))

simplify53.0ms

Counts
117 → 117

prune361.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify59.0ms

end0.0ms

sample4.0s

Algorithm
intervals
Results
2.0s3621×body1280valid
942.0ms2650×body640valid
340.0ms419×body160valid
309.0ms1310×body320valid
139.0ms8000×pre80true