Details

sample315.0ms

Algorithm

intervals

Results

81.0ms	91×	body	2560	valid
61.0ms	106×	body	2560	nan
47.0ms	509×	body	80	nan
41.0ms	86×	body	1280	valid
26.0ms	79×	body	1280	nan
13.0ms	40×	body	640	valid
9.0ms	40×	body	640	nan
4.0ms	18×	body	320	valid
3.0ms	17×	body	320	nan
2.0ms	6×	body	5120	exit
2.0ms	10×	body	160	valid
1.0ms	10×	body	160	nan
1.0ms	11×	body	80	valid

simplify56.0ms

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: 32.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

1.9b	(fmod a (asin a))
27.5b	(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×	`add-cbrt-cube` `add-log-exp`
1×	`pow-to-exp` `pow-unpow` `pow-pow` `pow-exp` `sqr-pow`

Counts

2 → 22

Calls

2 calls:

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

series21.0ms

Counts

2 → 6

Calls

2 calls:

1.0ms	(fmod a (asin a))
20.0ms	(pow (atan (fmod a (asin a))) (* a a))

simplify60.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	96	180
1	340	169
2	1284	169
3	5001	169

prune56.0ms

Filtered

28 candidates to 21 candidates (75.0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	1	29

Merged error: 32.1b

Counts

29 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5

end0.0ms

sample9.7s

Algorithm

intervals

Results

2.5s	2926×	body	2560	valid
1.7s	3037×	body	2560	nan
1.5s	15858×	body	80	nan
1.3s	2569×	body	1280	valid
829.0ms	2427×	body	1280	nan
417.0ms	1238×	body	640	valid
304.0ms	1260×	body	640	nan
148.0ms	636×	body	320	valid
100.0ms	577×	body	320	nan
89.0ms	308×	body	5120	exit
56.0ms	328×	body	160	valid
41.0ms	303×	body	160	nan
28.0ms	303×	body	80	valid

Details

sample315.0ms

simplify56.0ms

prune3.0ms

localize8.0ms

rewrite4.0ms

series21.0ms

simplify60.0ms

prune56.0ms

simplify1.0ms

end0.0ms

sample9.7s

Profiling