Details

sample114.0ms

Algorithm

intervals

Results

56.0ms	113×	body	1280	valid
28.0ms	80×	body	640	valid
11.0ms	47×	body	320	valid
4.0ms	256×	pre	80	true
2.0ms	16×	body	160	valid

simplify4.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	342
1	18	342
2	43	342
3	123	342
4	407	342
5	1565	342
done	5001	342

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.2b	(* n (log n))
0.3b	(* (+ n 1.0) (log (+ n 1.0)))
5.0b	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

rewrite76.0ms

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:

14.0ms	(* n (log n))
30.0ms	(* (+ n 1.0) (log (+ n 1.0)))
23.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series624.0ms

Counts

3 → 9

Calls

3 calls:

249.0ms	(* n (log n))
94.0ms	(* (+ n 1.0) (log (+ n 1.0)))
280.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify1.6s

Counts

90 → 90

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	171	27891
1	460	25389
2	2188	24415
done	5002	24063

prune392.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

1.1b	(/ 0.16666666666666669 (* n n))

rewrite10.0ms

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:

9.0ms

(/ 0.16666666666666669 (* n n))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(/ 0.16666666666666669 (* n n))

simplify674.0ms

Counts

24 → 24

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	43	3987
1	109	3334
2	579	3174
done	5001	3174

prune105.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	394
1	16	394
done	16	394

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.0s	3691×	body	1280	valid
1.0s	2587×	body	640	valid
474.0ms	8000×	pre	80	true
319.0ms	1299×	body	320	valid
105.0ms	423×	body	160	valid