Details

sample185.0ms

Algorithm

intervals

Results

66.0ms	97×	body	2560	valid
57.0ms	809×	body	80	nan
26.0ms	75×	body	1280	valid
12.0ms	51×	body	640	valid
2.0ms	11×	body	320	valid
1.0ms	14×	body	80	valid
1.0ms	8×	body	160	valid

simplify52.0ms

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

prune2.0ms

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: 28.4b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

1.9b	(fmod a (asin a))
31.1b	(pow (atan (fmod a (asin a))) (* a a))

rewrite3.0ms

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))

series17.0ms

Counts

2 → 6

Calls

2 calls:

1.0ms	(fmod a (asin a))
16.0ms	(pow (atan (fmod a (asin a))) (* a a))

simplify53.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (50.0ms)

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

prune87.0ms

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: 28.4b

Counts

33 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.1s	3051×	body	2560	valid
1.5s	23458×	body	80	nan
911.0ms	2451×	body	1280	valid
309.0ms	1254×	body	640	valid
105.0ms	573×	body	320	valid
44.0ms	355×	body	160	valid
25.0ms	316×	body	80	valid