Details

Time bar (total: 7.1s)

sample98.0ms

Algorithm
intervals
Results
45.0ms112×body1280valid
25.0ms89×body640valid
9.0ms46×body320valid
4.0ms256×pre80true
2.0msbody160valid

simplify223.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize59.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (+ n 1.0) (log (+ n 1.0)))
0.3b
(* n (log n))
4.9b
(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

rewrite102.0ms

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:
42.0ms
(* (+ n 1.0) (log (+ n 1.0)))
9.0ms
(* n (log n))
45.0ms
(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series688.0ms

Counts
3 → 9
Calls
3 calls:
100.0ms
(* (+ n 1.0) (log (+ n 1.0)))
341.0ms
(* n (log n))
248.0ms
(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify57.0ms

Counts
90 → 90

prune300.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ (- (/ 3002399751580331.0 18014398509481984.0)) (pow n 2))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
402×times-frac
198×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
117×distribute-lft-neg-in distribute-rgt-neg-in
93×unpow-prod-down
31×unpow2 sqr-pow
30×associate-/l*
19×div-inv
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 associate-/l/ distribute-neg-frac add-log-exp
Counts
1 → 295
Calls
1 calls:
53.0ms
(/ (- (/ 3002399751580331.0 18014398509481984.0)) (pow n 2))

series53.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ (- (/ 3002399751580331.0 18014398509481984.0)) (pow n 2))

simplify113.0ms

Counts
298 → 298

prune1.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify61.0ms

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.7s3554×body1280valid
893.0ms2727×body640valid
646.0ms1284×body320valid
474.0ms8000×pre80true
50.0ms435×body160valid