Details

sample193.0ms

Algorithm

intervals

Results

76.0ms	53×	body	10240	exit
24.0ms	349×	body	80	nan
19.0ms	256×	body	80	valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	22	9
3	45	9
4	115	9
5	268	9
6	834	9
7	3197	9
done	5001	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 1 expressions with local error:

1.0b	(sqrt (atan2 b b))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
1×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `add-log-exp`

Counts

1 → 13

Calls

1 calls:

6.0ms

(sqrt (atan2 b b))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(sqrt (atan2 b b))

simplify2.2s

Counts

16 → 16

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	18	96
1	23	82
2	26	80
3	30	80
4	36	80
5	46	80
6	67	80
7	145	80
8	432	80
9	1822	80
done	5000	80

prune47.0ms

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	7	9
done	7	9

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.1s	9764×	body	80	nan
1.6s	1832×	body	10240	exit
960.0ms	7993×	body	80	valid
6.0ms	2×	body	5120	valid
1.0ms	2×	body	320	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid