Details

Time bar (total: 10.1s)

sample124.0ms

Algorithm
intervals
Results
57.0ms119×body1280valid
38.0ms82×body640valid
10.0ms43×body320valid
4.0ms256×pre80true
2.0ms12×body160valid

simplify2.5s

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (+ n 1.0) (log (+ n 1.0)))
0.2b
(* n (log n))
5.1b
(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

rewrite117.0ms

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)))
12.0ms
(* n (log n))
31.0ms
(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series657.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(* (+ n 1.0) (log (+ n 1.0)))
280.0ms
(* n (log n))
282.0ms
(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify899.0ms

Counts
90 → 90

prune282.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.1b
(* 0.16666666666666669 (/ 1 (pow n 2)))
0.6b
(/ 1 (pow n 2))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
56×times-frac
53×add-sqr-sqrt
39×*-un-lft-identity
35×add-cube-cbrt
31×add-exp-log
28×associate-*r*
23×unpow-prod-down
12×div-exp
10×prod-exp
add-cbrt-cube unpow2 unswap-sqr sqr-pow
associate-/r*
pow-to-exp rec-exp 1-exp pow-exp
pow1
associate-*l* associate-/l*
cbrt-undiv cbrt-unprod div-inv add-log-exp
pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 120
Calls
2 calls:
29.0ms
(* 0.16666666666666669 (/ 1 (pow n 2)))
10.0ms
(/ 1 (pow n 2))

series59.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* 0.16666666666666669 (/ 1 (pow n 2)))
18.0ms
(/ 1 (pow n 2))

simplify634.0ms

Counts
126 → 126

prune264.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify645.0ms

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.8s3613×body1280valid
1.4s2685×body640valid
292.0ms1306×body320valid
136.0ms8000×pre80true
48.0ms396×body160valid