Details

sample123.0ms

Algorithm

intervals

Results

69.0ms	119×	body	1280	valid
28.0ms	83×	body	640	valid
10.0ms	44×	body	320	valid
6.0ms	256×	pre	80	true
1.0ms	10×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	2004
8	2004
7	1748
6	878
5	482
4	239
3	109
2	43
1	21
0	9

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize45.0ms

Local error

Found 3 expressions with local error:

0.3b	(* n (log n))
0.3b	(* (+ n 1) (log (+ n 1)))
5.8b	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

rewrite46.0ms

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`
9×	`pow1`
8×	`associate-r` `associate--l+`
7×	`add-cbrt-cube` `associate-l` `add-exp-log`
6×	`associate--r+`
5×	`distribute-lft-out` `add-log-exp`
3×	`insert-posit16`
2×	`pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

3 → 84

Calls

3 calls:

7.0ms	(* n (log n))
20.0ms	(* (+ n 1) (log (+ n 1)))
18.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

series479.0ms

Counts

3 → 9

Calls

3 calls:

276.0ms	(* n (log n))
43.0ms	(* (+ n 1) (log (+ n 1)))
160.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

simplify1.1s

Counts

93 → 93

Iterations

Iter	Nodes
done	2006
3	2006
2	1235
1	423
0	162

prune661.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (- (+ 1 (/ 1/2 n)) (- (/ 1/6 (* n n)) (log n))) 1)
1.4b	(/ 1/6 (* n n))

rewrite705.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
18×	`add-log-exp`
17×	`distribute-lft-out--`
11×	`diff-log`
8×	`add-sqr-sqrt`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate--l+`
4×	`pow1` `add-cube-cbrt`
3×	`times-frac` `distribute-lft-out` `associate-/l*`
2×	`cbrt-undiv` `sum-log` `sub-neg` `div-exp` `log-pow` `insert-posit16` `difference-of-squares`
1×	`associate--l-` `clear-num` `associate-/r*` `frac-2neg` `flip3--` `difference-of-sqr-1` `prod-exp` `cbrt-unprod` `div-inv` `flip--` `associate--r-`

Counts

2 → 54

Calls

2 calls:

697.0ms	(- (- (+ 1 (/ 1/2 n)) (- (/ 1/6 (* n n)) (log n))) 1)
7.0ms	(/ 1/6 (* n n))

series66.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(- (- (+ 1 (/ 1/2 n)) (- (/ 1/6 (* n n)) (log n))) 1)
31.0ms	(/ 1/6 (* n n))

simplify938.0ms

Counts

60 → 60

Iterations

Iter	Nodes
done	2012
3	2012
2	937
1	278
0	113

prune498.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (/ 1/6 n) n)
0.4b	(/ 1/6 n)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/l*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r*` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 99

Calls

2 calls:

8.0ms	(/ (/ 1/6 n) n)
6.0ms	(/ 1/6 n)

series53.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ (/ 1/6 n) n)
24.0ms	(/ 1/6 n)

simplify821.0ms

Counts

105 → 105

Iterations

Iter	Nodes
done	2009
3	2009
2	739
1	332
0	147

prune889.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.9s	3678×	body	1280	valid
1.4s	2611×	body	640	valid
879.0ms	1309×	body	320	valid
222.0ms	8000×	pre	80	true
130.0ms	402×	body	160	valid