Details

sample242.0ms

Algorithm

intervals

Results

85.0ms	99×	body	2560	valid
65.0ms	785×	body	80	nan
48.0ms	85×	body	1280	valid
15.0ms	42×	body	640	valid
3.0ms	11×	body	320	valid
2.0ms	14×	body	160	valid
0.0ms	5×	body	80	valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	5
1	17	5
2	40	5
3	104	5
4	328	5
5	1906	5
6	5002	5

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 30.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

3.2b	(fmod a (asin a))
31.4b	(pow (atan (fmod a (asin a))) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
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:

1.0ms	(fmod a (asin a))
2.0ms	(pow (atan (fmod a (asin a))) (* a a))

series20.0ms

Counts

2 → 6

Calls

2 calls:

1.0ms	(fmod a (asin a))
18.0ms	(pow (atan (fmod a (asin a))) (* a a))

simplify63.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	101	197
1	351	186
2	1351	186
3	5001	185

prune71.0ms

Filtered

32 candidates to 25 candidates (78.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	1	33

Merged error: 30.1b

Counts

33 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5

end0.0ms

sample7.4s

Algorithm

intervals

Results

2.8s	3016×	body	2560	valid
2.0s	24033×	body	80	nan
1.3s	2488×	body	1280	valid
461.0ms	1271×	body	640	valid
152.0ms	613×	body	320	valid
55.0ms	323×	body	160	valid
27.0ms	289×	body	80	valid