Details

sample115.0ms

Algorithm

intervals

Results

25.0ms	180×	body	80	valid
11.0ms	75×	body	1280	valid
6.0ms	48×	body	640	valid
2.0ms	25×	body	320	valid
1.0ms	9×	body	160	valid

simplify11.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	9
1	14	9
2	37	9
3	102	9
4	205	9
5	336	9
6	449	9
7	706	9
8	1163	9
9	1619	9
10	2106	9
11	2270	9
12	2474	9
13	2738	9
14	3210	9
15	3254	9
16	3344	9
17	3568	9
done	3568	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
2.9b	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
9×	`pow1` `add-sqr-sqrt`
6×	`add-cube-cbrt` `flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
4×	`add-exp-log` `frac-times` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+`
1×	`pow2` `sub-neg` `flip3--` `pow-plus` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

38.0ms	(* (+ x 1.0) (+ x 1.0))
20.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series80.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(* (+ x 1.0) (+ x 1.0))
59.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify2.2s

Counts

61 → 61

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	86	736
1	234	642
2	856	576
3	4116	534
done	5000	531

prune81.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune1.0ms

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	4	5
1	6	5
done	6	5

end0.0ms

sample768.0ms

Algorithm

intervals

Results

284.0ms	2344×	body	1280	valid
176.0ms	5452×	body	80	valid
108.0ms	1598×	body	640	valid
41.0ms	818×	body	320	valid
13.0ms	405×	body	160	valid