Details

sample195.0ms

Algorithm

intervals

Results

97.0ms	119×	body	1280	valid
58.0ms	83×	body	640	valid
17.0ms	44×	body	320	valid
9.0ms	256×	pre	80	true
3.0ms	10×	body	160	valid

simplify4.7s

Counts

1 → 1

Iterations

Iter	Nodes
11	4037
10	1949
9	1321
8	957
7	672
6	469
5	319
4	207
3	108
2	41
1	19
0	9

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize23.0ms

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)))

rewrite67.0ms

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:

11.0ms	(* n (log n))
37.0ms	(* (+ n 1) (log (+ n 1)))
18.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

series483.0ms

Counts

3 → 9

Calls

3 calls:

266.0ms	(* n (log n))
51.0ms	(* (+ n 1) (log (+ n 1)))
166.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

simplify1.9s

Counts

93 → 93

Iterations

Iter	Nodes
3	3411
2	1081
1	405
0	162

prune665.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

1.7s	(- (+ (+ (+ (/ 1/2 n) (log n)) (/ -1/6 (* n n))) 1) 1)
13.0ms	(/ -1/6 (* n n))

series82.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(- (+ (+ (+ (/ 1/2 n) (log n)) (/ -1/6 (* n n))) 1) 1)
39.0ms	(/ -1/6 (* n n))

simplify1.4s

Counts

53 → 53

Iterations

Iter	Nodes
3	3113
2	702
1	258
0	108

prune484.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 1 expressions with local error:

1.4b	(/ -1/6 (* n n))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

12.0ms

(/ -1/6 (* n n))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(/ -1/6 (* n n))

simplify2.7s

Counts

25 → 25

Iterations

Iter	Nodes
4	4603
3	993
2	285
1	104
0	44

prune177.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
2	11
1	11
0	9

end0.0ms

sample5.7s

Algorithm

intervals

Results

3.2s	3678×	body	1280	valid
1.6s	2611×	body	640	valid
463.0ms	1309×	body	320	valid
258.0ms	8000×	pre	80	true
81.0ms	402×	body	160	valid