Details

sample71.0ms

Algorithm

intervals

Results

38.0ms	131×	body	1280	valid
18.0ms	82×	body	640	valid
4.0ms	32×	body	320	valid
3.0ms	256×	pre	80	true
1.0ms	11×	body	160	valid

simplify5.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	15
1	18	15
2	43	15
3	87	15
4	150	15
5	201	15
6	309	15
7	476	15
8	644	15
9	665	15
10	727	15
11	855	15
12	976	15
13	1104	15
14	1271	15
15	1664	15
done	5000	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:

0.2b	(* (+ n 1.0) (log (+ n 1.0)))
0.2b	(* n (log n))
4.6b	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

rewrite32.0ms

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:

15.0ms	(* (+ n 1.0) (log (+ n 1.0)))
4.0ms	(* n (log n))
11.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series440.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(* (+ n 1.0) (log (+ n 1.0)))
178.0ms	(* n (log n))
191.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify652.0ms

Counts

90 → 90

Iterations

Useful iterations: done (649.0ms)

Iter	Nodes	Cost
0	171	1210
1	410	1150
2	1389	1036
done	5000	1035

prune191.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.9b	(/ 0.16666666666666669 (* n n))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

3.0ms

(/ 0.16666666666666669 (* n n))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(/ 0.16666666666666669 (* n n))

simplify2.1s

Counts

24 → 24

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	43	185
1	94	182
2	279	152
3	1043	152
4	4187	152
done	5000	152

prune53.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	15	18
done	15	18

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.0s	3641×	body	1280	valid
475.0ms	2635×	body	640	valid
156.0ms	1306×	body	320	valid
73.0ms	8000×	pre	80	true
31.0ms	418×	body	160	valid