Details

sample442.0ms

Algorithm

intervals

Results

170.0ms	96×	body	2560	valid
122.0ms	797×	body	80	nan
83.0ms	88×	body	1280	valid
23.0ms	38×	body	640	valid
8.0ms	15×	body	320	valid
3.0ms	9×	body	160	valid
2.0ms	10×	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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize33.0ms

Local error

Found 2 expressions with local error:

1.5b	(fmod a (asin a))
29.4b	(pow (atan (fmod a (asin a))) (* a a))

rewrite6.0ms

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

Counts

2 → 26

Calls

2 calls:

0.0ms	(fmod a (asin a))
5.0ms	(pow (atan (fmod a (asin a))) (* a a))

series36.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(fmod a (asin a))
34.0ms	(pow (atan (fmod a (asin a))) (* a a))

simplify7.3s

Counts

32 → 32

Iterations

Iter	Nodes
5	8638
4	1930
3	603
2	258
1	111
0	50

prune347.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (fmod a (asin a)))
0.0b	(log1p (expm1 (fmod a (asin a))))
1.5b	(fmod a (asin a))
29.4b	(pow (atan (log1p (expm1 (fmod a (asin a))))) (* a a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

1.0ms	(expm1 (fmod a (asin a)))
0.0ms	(log1p (expm1 (fmod a (asin a))))
0.0ms	(fmod a (asin a))
5.0ms	(pow (atan (log1p (expm1 (fmod a (asin a))))) (* a a))

series259.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(expm1 (fmod a (asin a)))
168.0ms	(log1p (expm1 (fmod a (asin a))))
3.0ms	(fmod a (asin a))
32.0ms	(pow (atan (log1p (expm1 (fmod a (asin a))))) (* a a))

simplify2.2s

Counts

60 → 60

Iterations

Iter	Nodes
4	2881
3	793
2	306
1	142
0	70

prune716.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 31.1b

simplify2.0ms

Iterations

Iter	Nodes
1	8
0	8

end0.0ms

sample12.7s

Algorithm

intervals

Results

4.5s	24065×	body	80	nan
4.0s	3039×	body	2560	valid
2.1s	2434×	body	1280	valid
794.0ms	1284×	body	640	valid
366.0ms	313×	body	80	valid
245.0ms	602×	body	320	valid
118.0ms	328×	body	160	valid