Details

sample354.0ms

Algorithm

intervals

Results

97.0ms	101×	body	2560	valid
54.0ms	546×	body	80	nan
51.0ms	92×	body	2560	nan
46.0ms	81×	body	1280	valid
43.0ms	102×	body	1280	nan
11.0ms	32×	body	640	valid
11.0ms	46×	body	640	nan
6.0ms	23×	body	320	valid
3.0ms	11×	body	5120	exit
3.0ms	15×	body	320	nan
1.0ms	8×	body	160	valid
1.0ms	11×	body	80	valid
1.0ms	8×	body	160	nan

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 29.4b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

1.5b	(fmod a (asin a))
30.6b	(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×	`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))

series18.0ms

Counts

2 → 6

Calls

2 calls:

1.0ms	(fmod a (asin a))
17.0ms	(pow (atan (fmod a (asin a))) (* a a))

simplify53.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (4.0ms)

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

prune55.0ms

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: 29.4b

Counts

29 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5

end0.0ms

sample9.1s

Algorithm

intervals

Results

2.4s	3000×	body	2560	valid
1.5s	3029×	body	2560	nan
1.4s	16210×	body	80	nan
1.2s	2518×	body	1280	valid
822.0ms	2544×	body	1280	nan
401.0ms	1241×	body	640	valid
303.0ms	1308×	body	640	nan
137.0ms	620×	body	320	valid
103.0ms	615×	body	320	nan
87.0ms	333×	body	5120	exit
46.0ms	305×	body	160	valid
36.0ms	309×	body	160	nan
27.0ms	316×	body	80	valid

Details

sample354.0ms

simplify51.0ms

prune2.0ms

localize7.0ms

rewrite3.0ms

series18.0ms

simplify53.0ms

prune55.0ms

simplify1.0ms

end0.0ms

sample9.1s

Profiling