Details

sample271.0ms

Algorithm

intervals

Results

88.0ms	749×	body	80	nan
86.0ms	91×	body	2560	valid
44.0ms	87×	body	1280	valid
11.0ms	35×	body	640	valid
4.0ms	17×	body	320	valid
2.0ms	16×	body	80	valid
2.0ms	10×	body	160	valid

simplify3.2s

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize40.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

2.0ms	(fmod a (asin a))
10.0ms	(pow (atan (fmod a (asin a))) (* a a))

series75.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(fmod a (asin a))
64.0ms	(pow (atan (fmod a (asin a))) (* a a))

simplify7.4s

Counts

30 → 30

Iterations

Iter	Nodes
done	5022
4	3150
3	865
2	257
1	110
0	48

prune305.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize86.0ms

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))

rewrite14.0ms

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:

1.0ms	(fmod a (asin a))
1.0ms	(fmod a (asin a))
1.0ms	(fmod a (asin a))
10.0ms	(pow (atan (* (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))))) (* a a))

series92.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(fmod a (asin a))
13.0ms	(fmod a (asin a))
11.0ms	(fmod a (asin a))
57.0ms	(pow (atan (* (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))))) (* a a))

simplify7.0s

Counts

52 → 52

Iterations

Iter	Nodes
done	5067
4	3019
3	948
2	260
1	113
0	51

prune537.0ms

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

sample10.5s

Algorithm

intervals

Results

3.8s	3033×	body	2560	valid
2.9s	24333×	body	80	nan
2.0s	2452×	body	1280	valid
538.0ms	1271×	body	640	valid
164.0ms	606×	body	320	valid
64.0ms	315×	body	160	valid
43.0ms	323×	body	80	valid