Details

sample411.0ms

Algorithm

intervals

Results

132.0ms	92×	body	2560	valid
114.0ms	744×	body	80	nan
68.0ms	84×	body	1280	valid
57.0ms	46×	body	640	valid
9.0ms	19×	body	320	valid
2.0ms	9×	body	160	valid
1.0ms	6×	body	80	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
7	2330
6	670
5	239
4	101
3	41
2	17
1	10
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.5b

localize28.0ms

Local error

Found 2 expressions with local error:

2.4b	(fmod a (asin a))
26.0b	(pow (atan (fmod a (asin a))) (* a a))

rewrite7.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-to-exp` `pow-unpow` `pow-pow` `pow-exp` `sqr-pow`

Counts

2 → 28

Calls

2 calls:

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

series38.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(fmod a (asin a))
35.0ms	(pow (atan (fmod a (asin a))) (* a a))

simplify7.2s

Counts

34 → 34

Iterations

Iter	Nodes
5	7059
4	1802
3	688
2	267
1	114
0	52

prune153.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.0b

localize26.0ms

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))

rewrite9.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

0.0ms	(fmod a (asin a))
0.0ms	(fmod a (asin a))
3.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
4.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series45.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(fmod a (asin a))
2.0ms	(fmod a (asin a))
21.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
21.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify2.6s

Counts

80 → 80

Iterations

Iter	Nodes
4	3576
3	1235
2	393
1	164
0	70

prune429.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 35.0b

simplify1.0ms

Iterations

Iter	Nodes
1	9
0	9

end0.0ms

sample14.2s

Algorithm

intervals

Results

5.3s	3011×	body	2560	valid
4.6s	24059×	body	80	nan
2.3s	2491×	body	1280	valid
897.0ms	1257×	body	640	valid
328.0ms	628×	body	320	valid
140.0ms	332×	body	160	valid
52.0ms	281×	body	80	valid