Details

sample68.0ms

Algorithm

intervals

Results

37.0ms	131×	body	1280	valid
15.0ms	82×	body	640	valid
4.0ms	32×	body	320	valid
3.0ms	256×	pre	80	true
1.0ms	11×	body	160	valid

simplify5.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	9	15
1	19	15
2	49	14
3	109	14
4	204	14
5	274	14
6	413	14
7	616	14
8	856	14
9	923	14
10	996	14
11	1143	14
12	1343	14
13	1512	14
14	1822	14
15	2383	14
done	5001	14

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`log-prod`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
8×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `prod-diff` `log1p-expm1-u`
2×	`associate-*l/` `fma-udef`
1×	`sub-neg` `flip3--` `flip3-+` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `associate--r+` `unswap-sqr`

Counts

3 → 69

Calls

3 calls:

13.0ms	(* (+ n 1.0) (log (+ n 1.0)))
0.0ms	(fma (log n) n 1.0)
9.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (fma (log n) n 1.0))

series485.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* (+ n 1.0) (log (+ n 1.0)))
228.0ms	(fma (log n) n 1.0)
191.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (fma (log n) n 1.0))

simplify494.0ms

Counts

78 → 78

Iterations

Useful iterations: done (491.0ms)

Iter	Nodes	Cost
0	158	1265
1	403	1129
2	1341	1022
done	5002	1017

prune183.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize10.0ms

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` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

3.0ms

(/ 0.16666666666666669 (* n n))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(/ 0.16666666666666669 (* n n))

simplify2.1s

Counts

26 → 26

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	45	197
1	97	194
2	283	164
3	1053	164
4	4234	164
done	5000	164

prune62.0ms

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	11	14
done	11	14

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.0s	3641×	body	1280	valid
489.0ms	2635×	body	640	valid
158.0ms	1306×	body	320	valid
70.0ms	8000×	pre	80	true
32.0ms	418×	body	160	valid