Details

sample334.0ms

Algorithm

intervals

Results

109.0ms	749×	body	80	nan
104.0ms	91×	body	2560	valid
54.0ms	87×	body	1280	valid
14.0ms	35×	body	640	valid
5.0ms	17×	body	320	valid
2.0ms	10×	body	160	valid
2.0ms	16×	body	80	valid

simplify3.6s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize38.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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:

1.0ms	(fmod a (asin a))
8.0ms	(pow (atan (fmod a (asin a))) (* a a))

series64.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(fmod a (asin a))
58.0ms	(pow (atan (fmod a (asin a))) (* a a))

simplify7.6s

Counts

34 → 34

Iterations

Iter	Nodes
done	5039
4	3322
3	1061
2	280
1	115
0	52

prune355.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize84.0ms

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))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down`
1×	`pow-to-exp` `pow-unpow` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 48

Calls

4 calls:

1.0ms	(fmod a (asin a))
1.0ms	(fmod a (asin a))
1.0ms	(fmod a (asin a))
6.0ms	(pow (atan (* (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))))) (* a a))

series101.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(fmod a (asin a))
10.0ms	(fmod a (asin a))
9.0ms	(fmod a (asin a))
72.0ms	(pow (atan (* (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))))) (* a a))

simplify7.7s

Counts

60 → 60

Iterations

Iter	Nodes
done	5022
4	3002
3	848
2	259
1	117
0	55

prune689.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 31.1b

simplify7.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample11.2s

Algorithm

intervals

Results

3.5s	3033×	body	2560	valid
3.5s	24333×	body	80	nan
2.2s	2452×	body	1280	valid
587.0ms	1271×	body	640	valid
266.0ms	606×	body	320	valid
65.0ms	315×	body	160	valid
44.0ms	323×	body	80	valid