Details

sample69.0ms

Algorithm

intervals

Results

37.0ms	128×	body	1280	valid
15.0ms	82×	body	640	valid
5.0ms	256×	pre	80	true
3.0ms	28×	body	320	valid
1.0ms	18×	body	160	valid

simplify10.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	15
1	18	15
2	43	15
3	89	15
4	155	15
5	221	15
6	329	15
7	499	15
8	711	15
9	785	15
10	847	15
11	1050	15
12	1177	15
13	1384	15
14	1574	15
15	2207	15
done	5001	15

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (+ n 1.0) (log (+ n 1.0)))
0.3b	(* n (log n))
5.3b	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

rewrite29.0ms

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-exp-log` `associate-l` `add-cbrt-cube`
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:

13.0ms	(* (+ n 1.0) (log (+ n 1.0)))
4.0ms	(* n (log n))
10.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series424.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(* (+ n 1.0) (log (+ n 1.0)))
176.0ms	(* n (log n))
179.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify611.0ms

Counts

90 → 90

Iterations

Useful iterations: done (608.0ms)

Iter	Nodes	Cost
0	171	1210
1	422	1150
2	1613	1036
done	5000	1035

prune182.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite823.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

818.0ms	(- (+ (- (/ 0.5 n) (- (/ 0.16666666666666669 (* n n)) (* (log n) 1.0))) 1.0) 1.0)
3.0ms	(/ 0.16666666666666669 (* n n))

series62.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(- (+ (- (/ 0.5 n) (- (/ 0.16666666666666669 (* n n)) (* (log n) 1.0))) 1.0) 1.0)
27.0ms	(/ 0.16666666666666669 (* n n))

simplify2.9s

Counts

48 → 48

Iterations

Useful iterations: 3 (352.0ms)

Iter	Nodes	Cost
0	112	772
1	259	716
2	795	602
3	4982	581
done	5000	581

prune96.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.5b	(/ 0.16666666666666669 (pow n 2))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

24×	`times-frac`
18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down`
8×	`associate-/r*`
6×	`add-exp-log`
4×	`unpow2` `sqr-pow`
3×	`div-exp` `add-cbrt-cube` `associate-/l*`
1×	`pow1` `cbrt-undiv` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 49

Calls

1 calls:

4.0ms

(/ 0.16666666666666669 (pow n 2))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(/ 0.16666666666666669 (pow n 2))

simplify2.1s

Counts

52 → 52

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	89	534
1	157	485
2	604	412
3	3055	412
done	5000	412

prune101.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	13	14
done	13	14

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s	3645×	body	1280	valid
485.0ms	2602×	body	640	valid
166.0ms	1318×	body	320	valid
69.0ms	8000×	pre	80	true
34.0ms	435×	body	160	valid