Details

sample334.0ms

Algorithm

intervals

Results

108.0ms	92×	body	2560	valid
88.0ms	84×	body	1280	valid
87.0ms	744×	body	80	nan
22.0ms	46×	body	640	valid
6.0ms	19×	body	320	valid
3.0ms	9×	body	160	valid
1.0ms	6×	body	80	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	2253
7	2253
6	1190
5	241
4	101
3	41
2	17
1	10
0	6

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.5b

localize23.0ms

Local error

Found 2 expressions with local error:

2.4b	(fmod a (asin a))
26.0b	(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×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
1×	`pow-to-exp` `pow-unpow` `pow-pow` `pow-exp` `sqr-pow`

Counts

2 → 24

Calls

2 calls:

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

series18.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(fmod a (asin a))
16.0ms	(pow (atan (fmod a (asin a))) (* a a))

simplify1.2s

Counts

30 → 30

Iterations

Iter	Nodes
done	2007
4	2007
3	863
2	267
1	110
0	48

prune236.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.0b

localize21.0ms

Local error

Found 4 expressions with local error:

2.4b	(fmod a (asin a))
2.4b	(fmod a (asin a))
26.3b	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
26.3b	(pow (atan (fmod a (asin a))) (/ (* a a) 2))

rewrite11.0ms

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` `insert-posit16` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `sqr-pow`

Counts

4 → 60

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

series54.0ms

Counts

4 → 12

Calls

4 calls:

1.0ms	(fmod a (asin a))
2.0ms	(fmod a (asin a))
27.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
24.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify1.2s

Counts

72 → 72

Iterations

Iter	Nodes
done	2006
4	2006
3	1533
2	407
1	163
0	66

prune960.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 35.0b

simplify1.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample13.3s

Algorithm

intervals

Results

4.3s	3011×	body	2560	valid
4.2s	24059×	body	80	nan
3.1s	2491×	body	1280	valid
789.0ms	1257×	body	640	valid
339.0ms	628×	body	320	valid
96.0ms	332×	body	160	valid
51.0ms	281×	body	80	valid