Details

sample111.0ms

Algorithm

intervals

Results

58.0ms	119×	body	1280	valid
25.0ms	74×	body	640	valid
10.0ms	48×	body	320	valid
4.0ms	256×	pre	80	true
2.0ms	15×	body	160	valid

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
13	4900
12	3723
11	3170
10	2700
9	1772
8	1205
7	919
6	716
5	496
4	240
3	112
2	41
1	18
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.3b	(* n (log n))
0.3b	(* (+ n 1.0) (log (+ n 1.0)))
6.3b	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

rewrite61.0ms

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`
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 → 81

Calls

3 calls:

10.0ms	(* n (log n))
23.0ms	(* (+ n 1.0) (log (+ n 1.0)))
23.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series500.0ms

Counts

3 → 9

Calls

3 calls:

206.0ms	(* n (log n))
72.0ms	(* (+ n 1.0) (log (+ n 1.0)))
221.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify1.1s

Counts

90 → 90

Iterations

Iter	Nodes
done	5006
2	1312
1	455
0	171

prune334.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (- (+ (/ 0.5 n) 1.0) (/ 0.16666666666666669 (* n n))) (* 1.0 (log n))) 1.0)
0.6b	(/ 0.16666666666666669 (* n n))

rewrite2.4s

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

2.4s	(- (+ (- (+ (/ 0.5 n) 1.0) (/ 0.16666666666666669 (* n n))) (* 1.0 (log n))) 1.0)
6.0ms	(/ 0.16666666666666669 (* n n))

series72.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- (+ (- (+ (/ 0.5 n) 1.0) (/ 0.16666666666666669 (* n n))) (* 1.0 (log n))) 1.0)
33.0ms	(/ 0.16666666666666669 (* n n))

simplify2.8s

Counts

46 → 46

Iterations

Iter	Nodes
done	5001
3	4832
2	868
1	265
0	111

prune216.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ 0.16666666666666669 n) n)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`associate-/l*`
6×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
3×	`cbrt-undiv` `associate-/r*` `div-exp`
1×	`pow1` `clear-num` `frac-2neg` `add-log-exp` `associate-/l/`

Counts

1 → 70

Calls

1 calls:

14.0ms

(/ (/ 0.16666666666666669 n) n)

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(/ (/ 0.16666666666666669 n) n)

simplify2.8s

Counts

73 → 73

Iterations

Iter	Nodes
done	5042
3	4530
2	835
1	316
0	140

prune368.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.3s	3555×	body	1280	valid
807.0ms	2617×	body	640	valid
461.0ms	1383×	body	320	valid
143.0ms	8000×	pre	80	true
56.0ms	445×	body	160	valid