Details

sample284.0ms

Algorithm

intervals

Results

98.0ms	93×	body	2560	valid
76.0ms	720×	body	80	nan
58.0ms	100×	body	1280	valid
12.0ms	32×	body	640	valid
3.0ms	13×	body	320	valid
2.0ms	11×	body	80	valid
1.0ms	7×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `pow1` `unpow-prod-down` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
2×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`pow-to-exp` `pow-unpow` `pow-pow` `pow-exp` `sqr-pow`

Counts

2 → 26

Calls

2 calls:

0.0ms	(fmod a (asin a))
3.0ms	(pow (atan (fmod a (asin a))) (* a a))

series40.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(fmod a (asin a))
36.0ms	(pow (atan (fmod a (asin a))) (* a a))

simplify3.8s

Counts

32 → 32

Iterations

Iter	Nodes
done	5001
4	3514
3	1058
2	274
1	113
0	50

prune229.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize47.0ms

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))

rewrite10.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

0.0ms	(fmod a (asin a))
0.0ms	(fmod a (asin a))
4.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
4.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series64.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(fmod a (asin a))
2.0ms	(fmod a (asin a))
28.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
32.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify3.9s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
4	4434
3	1432
2	416
1	166
0	68

prune577.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 30.9b

simplify2.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample10.3s

Algorithm

intervals

Results

3.4s	24045×	body	80	nan
3.3s	3030×	body	2560	valid
2.0s	2525×	body	1280	valid
504.0ms	1215×	body	640	valid
226.0ms	621×	body	320	valid
66.0ms	339×	body	160	valid
35.0ms	270×	body	80	valid