Details

sample91.0ms

Algorithm

intervals

Results

46.0ms	112×	body	1280	valid
22.0ms	84×	body	640	valid
6.0ms	36×	body	320	valid
3.0ms	256×	pre	80	true
3.0ms	24×	body	160	valid

simplify8.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	9	342
1	19	342
2	48	317
3	131	317
4	236	317
5	420	317
6	694	317
7	1046	317
8	1525	317
9	2372	317
10	3461	317
11	3880	317
12	4218	317
13	4978	317
done	5000	317

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

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-cbrt-cube` `add-exp-log` `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` `cbrt-unprod` `flip-+` `flip--` `associate--r+` `unswap-sqr`

Counts

3 → 69

Calls

3 calls:

22.0ms	(* (+ n 1.0) (log (+ n 1.0)))
0.0ms	(fma n (log n) 1.0)
29.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (fma n (log n) 1.0))

series771.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(* (+ n 1.0) (log (+ n 1.0)))
390.0ms	(fma n (log n) 1.0)
299.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (fma n (log n) 1.0))

simplify1.9s

Counts

78 → 78

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	158	27001
1	457	24304
2	1289	23121
done	5000	22846

prune456.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 1 expressions with local error:

0.5b	(/ 0.16666666666666669 (* n n))

rewrite15.0ms

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×	`expm1-log1p-u` `pow1` `clear-num` `associate-/r*` `frac-2neg` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

14.0ms

(/ 0.16666666666666669 (* n n))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(/ 0.16666666666666669 (* n n))

simplify2.6s

Counts

26 → 26

Iterations

Useful iterations: 2 (123.0ms)

Iter	Nodes	Cost
0	45	4311
1	102	3658
2	305	3498
3	1298	3498
done	5003	3498

prune119.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.1s	3613×	body	1280	valid
1.5s	2648×	body	640	valid
398.0ms	1306×	body	320	valid
201.0ms	8000×	pre	80	true
64.0ms	433×	body	160	valid