Details

sample196.0ms

Algorithm

intervals

Results

82.0ms	57×	body	10240	exit
53.0ms	326×	body	80	nan
38.0ms	256×	body	80	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	2040
7	2040
6	1114
5	256
4	110
3	45
2	22
1	13
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

1.0b	(sqrt (atan2 b b))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `add-cbrt-cube` `pow1/2` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

3.0ms

(sqrt (atan2 b b))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(sqrt (atan2 b b))

simplify1.7s

Counts

19 → 19

Iterations

Iter	Nodes
done	2012
10	2012
9	1279
8	389
7	163
6	90
5	60
4	41
3	33
2	29
1	26
0	21

prune62.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `sqrt-prod`
4×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
2×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `add-cbrt-cube` `pow1/2` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

2 → 32

Calls

2 calls:

1.0ms	(sqrt (atan2 b b))
1.0ms	(sqrt (atan2 b b))

series23.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(sqrt (atan2 b b))
12.0ms	(sqrt (atan2 b b))

simplify1.7s

Counts

38 → 38

Iterations

Iter	Nodes
done	2012
10	2012
9	1279
8	389
7	163
6	90
5	60
4	41
3	33
2	29
1	26
0	21

prune193.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample7.1s

Algorithm

intervals

Results

2.5s	1894×	body	10240	exit
2.2s	10060×	body	80	nan
1.8s	7987×	body	80	valid
9.0ms	1×	body	5120	valid
4.0ms	2×	body	2560	valid
2.0ms	2×	body	640	valid
2.0ms	5×	body	160	valid
2.0ms	1×	body	1280	valid
1.0ms	2×	body	320	valid