Details

sample122.0ms

Algorithm

intervals

Results

67.0ms	112×	body	1280	valid
27.0ms	84×	body	640	valid
8.0ms	36×	body	320	valid
4.0ms	256×	pre	80	true
3.0ms	24×	body	160	valid

simplify8.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	342
1	18	342
2	41	342
3	112	342
4	240	342
5	496	342
6	716	342
7	919	342
8	1205	342
9	1772	342
10	2700	342
11	3170	342
12	3723	342
13	4900	342
done	5002	342

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (+ n 1.0) (log (+ n 1.0)))
0.3b	(* n (log n))
7.3b	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

rewrite78.0ms

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:

25.0ms	(* (+ n 1.0) (log (+ n 1.0)))
14.0ms	(* n (log n))
37.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series690.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(* (+ n 1.0) (log (+ n 1.0)))
330.0ms	(* n (log n))
285.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify1.9s

Counts

90 → 90

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	171	27891
1	455	25547
2	1315	24415
done	5000	24063

prune457.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite2.7s

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:

2.6s	(- (+ (- (+ (/ 0.5 n) 1.0) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0)
12.0ms	(/ 0.16666666666666669 (* n n))

series83.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- (+ (- (+ (/ 0.5 n) 1.0) (/ 0.16666666666666669 (* n n))) (* (log n) 1.0)) 1.0)
36.0ms	(/ 0.16666666666666669 (* n n))

simplify4.3s

Counts

46 → 46

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	112	15706
1	267	13889
2	853	13246
3	4705	13206
done	5001	13206

prune194.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.5b	(/ 0.16666666666666669 (* n n))

rewrite14.0ms

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` `div-inv` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

13.0ms

(/ 0.16666666666666669 (* n n))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(/ 0.16666666666666669 (* n n))

simplify2.1s

Counts

24 → 24

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	43	3987
1	102	3334
2	324	3174
3	1448	3174
done	5000	3174

prune105.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	314
1	13	314
done	13	314

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.5s	3613×	body	1280	valid
964.0ms	2648×	body	640	valid
346.0ms	1306×	body	320	valid
131.0ms	8000×	pre	80	true
56.0ms	433×	body	160	valid