Details

sample107.0ms

Algorithm

intervals

Results

30.0ms	53×	body	10240	exit
27.0ms	349×	body	80	nan
22.0ms	256×	body	80	valid

simplify11.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	16	9
2	46	9
3	189	9
done	5000	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

1.0b	(sqrt (atan2 b b))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
1×	`add-exp-log` `expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

2.0ms

(sqrt (atan2 b b))

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

(sqrt (atan2 b b))

simplify8.5s

Counts

18 → 18

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	20	106
1	26	92
2	33	90
3	58	90
4	167	90
5	700	90
6	4574	90
done	5000	90

prune55.0ms

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	7	9
done	7	9

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.1s	1832×	body	10240	exit
1.1s	9764×	body	80	nan
989.0ms	7993×	body	80	valid
6.0ms	2×	body	5120	valid
1.0ms	2×	body	320	valid
1.0ms	1×	body	640	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid