Details

sample230.0ms

Algorithm

intervals

Results

83.0ms	93×	body	2560	valid
54.0ms	720×	body	80	nan
49.0ms	100×	body	1280	valid
11.0ms	32×	body	640	valid
3.0ms	13×	body	320	valid
1.0ms	7×	body	160	valid
1.0ms	11×	body	80	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
6	1190
5	241
4	101
3	41
2	17
1	10
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize29.0ms

Local error

Found 2 expressions with local error:

1.9b	(fmod a (asin a))
29.2b	(pow (atan (fmod a (asin a))) (* a a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `pow1` `unpow-prod-down` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
2×	`add-cbrt-cube` `add-log-exp`
1×	`pow-to-exp` `pow-unpow` `pow-pow` `pow-exp` `sqr-pow`

Counts

2 → 22

Calls

2 calls:

0.0ms	(fmod a (asin a))
5.0ms	(pow (atan (fmod a (asin a))) (* a a))

series20.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(fmod a (asin a))
18.0ms	(pow (atan (fmod a (asin a))) (* a a))

simplify1.2s

Counts

28 → 28

Iterations

Iter	Nodes
done	5003
3	832
2	260
1	108
0	46

prune152.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize27.0ms

Local error

Found 4 expressions with local error:

1.9b	(fmod a (asin a))
1.9b	(fmod a (asin a))
29.4b	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
29.4b	(pow (atan (fmod a (asin a))) (/ (* a a) 2))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow-unpow`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `unpow-prod-down` `times-frac` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `sqr-pow`

Counts

4 → 56

Calls

4 calls:

0.0ms	(fmod a (asin a))
0.0ms	(fmod a (asin a))
6.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
6.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series54.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(fmod a (asin a))
3.0ms	(fmod a (asin a))
24.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
23.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify4.1s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
4	4525
3	1166
2	406
1	161
0	64

prune423.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 30.9b

simplify1.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample10.0s

Algorithm

intervals

Results

3.7s	3030×	body	2560	valid
2.8s	24045×	body	80	nan
2.0s	2525×	body	1280	valid
591.0ms	1215×	body	640	valid
173.0ms	621×	body	320	valid
65.0ms	339×	body	160	valid
33.0ms	270×	body	80	valid