Details

sample114.0ms

Algorithm

intervals

Results

46.0ms	97×	body	1280	valid
21.0ms	86×	body	640	valid
16.0ms	261×	body	80	valid
6.0ms	37×	body	320	valid
2.0ms	17×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	23	11
2	56	11
3	82	11
4	184	11
5	252	11
6	328	11
7	565	11
8	674	11
9	710	11
10	837	11
11	854	11
done	854	11

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (exp (neg im)) (exp im))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

7.0ms

(+ (exp (neg im)) (exp im))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(+ (exp (neg im)) (exp im))

simplify24.2s

Counts

15 → 15

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	12	7
2	15	7
done	15	7
0	6	7
1	9	7
2	11	7
done	11	7
0	6	7
1	12	7
2	15	7
done	15	7
0	7	15
1	10	15
2	12	15
done	12	15
0	6	7
1	9	7
2	11	7
done	11	7
0	7	20
1	23	20
2	65	8
3	181	8
4	681	8
5	2780	8
done	5000	8
0	6	7
1	9	7
2	11	7
done	11	7
0	6	7
1	9	7
2	11	7
done	11	7
0	8	10
1	24	10
2	49	10
3	100	10
4	195	10
5	407	9
6	1326	9
done	5001	9
0	9	20
1	25	16
2	57	12
3	87	11
4	159	11
5	293	11
6	707	11
7	2228	11
done	5000	11
0	7	13
1	18	11
2	36	10
3	66	9
4	129	9
5	270	9
6	584	9
7	1355	9
8	4977	9
done	5000	9
0	5	6
1	9	6
2	12	6
done	12	6
0	5	6
1	8	6
2	10	6
done	10	6
0	9	11
1	22	11
2	54	11
3	81	11
4	105	11
5	143	11
6	227	11
7	476	11
8	1252	11
9	4919	11
done	5000	11
0	5	6
1	8	6
2	10	6
done	10	6
0	6	7
1	11	6
2	18	6
3	29	6
4	53	6
5	102	6
6	229	6
7	667	6
8	2294	6
done	5000	6

prune21.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	1	16

Merged error: 0.0b

Counts

16 → 1

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	13	11
done	13	11

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.2s	3001×	body	1280	valid
632.0ms	2439×	body	640	valid
495.0ms	8528×	body	80	valid
218.0ms	1223×	body	320	valid
71.0ms	605×	body	160	valid

Details

sample114.0ms

simplify1.1s

prune4.0ms

localize11.0ms

rewrite7.0ms

series4.0ms

simplify24.2s

prune21.0ms

simplify1.0ms

end0.0ms

sample3.2s

Profiling