Details

sample85.0ms

Algorithm

intervals

Results

31.0ms	72×	body	10240	exit
18.0ms	256×	body	80	valid
14.0ms	310×	body	80	nan

simplify51.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	22	5
2	44	5
3	114	5
4	321	5
5	1627	5
6	5001	5
done	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(sin (pow (sqrt (atan2 b b)) (- b a)))
1.0b	(sqrt (atan2 b b))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 24

Calls

2 calls:

11.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
1.0ms	(sqrt (atan2 b b))

series76.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
11.0ms	(sqrt (atan2 b b))

simplify65.0ms

Counts

30 → 30

Iterations

Useful iterations: 6 (63.0ms)

Iter	Nodes	Cost
0	65	150
1	112	137
2	200	132
3	372	131
4	681	131
5	2254	131
6	5001	130
done	5001	130

prune72.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5
done	7	5

end0.0ms

sample2.3s

Algorithm

intervals

Results

840.0ms	1862×	body	10240	exit
472.0ms	9721×	body	80	nan
461.0ms	7993×	body	80	valid
1.0ms	1×	body	2560	valid
1.0ms	3×	body	320	valid
1.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid