Details

sample296.0ms

Algorithm

intervals

Results

108.0ms	91×	body	2560	valid
71.0ms	749×	body	80	nan
58.0ms	87×	body	1280	valid
23.0ms	35×	body	640	valid
6.0ms	17×	body	320	valid
2.0ms	16×	body	80	valid
2.0ms	10×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize18.0ms

Local error

Found 2 expressions with local error:

3.4b	(fmod a (asin a))
28.5b	(pow (atan (fmod a (asin a))) (* a a))

rewrite8.0ms

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))
7.0ms	(pow (atan (fmod a (asin a))) (* a a))

series26.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(fmod a (asin a))
25.0ms	(pow (atan (fmod a (asin a))) (* a a))

simplify2.7s

Counts

30 → 30

Iterations

Iter	Nodes
done	5013
4	3850
3	863
2	267
1	110
0	48

prune187.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize55.0ms

Local error

Found 4 expressions with local error:

3.4b	(fmod a (asin a))
3.4b	(fmod a (asin a))
3.4b	(fmod a (asin a))
28.5b	(pow (atan (* (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))))) (* a a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`unpow-prod-down`
1×	`pow-to-exp` `pow-unpow` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 40

Calls

4 calls:

0.0ms	(fmod a (asin a))
0.0ms	(fmod a (asin a))
0.0ms	(fmod a (asin a))
7.0ms	(pow (atan (* (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))))) (* a a))

series24.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(fmod a (asin a))
3.0ms	(fmod a (asin a))
2.0ms	(fmod a (asin a))
17.0ms	(pow (atan (* (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))))) (* a a))

simplify3.1s

Counts

52 → 52

Iterations

Iter	Nodes
done	5002
4	3458
3	975
2	261
1	113
0	51

prune358.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 31.1b

simplify3.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample10.3s

Algorithm

intervals

Results

3.4s	3033×	body	2560	valid
3.3s	24333×	body	80	nan
2.1s	2452×	body	1280	valid
685.0ms	1271×	body	640	valid
179.0ms	606×	body	320	valid
99.0ms	315×	body	160	valid
44.0ms	323×	body	80	valid