Details

sample307.0ms

Algorithm

intervals

Results

82.0ms	96×	body	2560	valid
54.0ms	109×	body	2560	nan
45.0ms	505×	body	80	nan
40.0ms	83×	body	1280	valid
27.0ms	76×	body	1280	nan
12.0ms	35×	body	640	valid
10.0ms	46×	body	640	nan
6.0ms	26×	body	320	valid
4.0ms	23×	body	320	nan
2.0ms	6×	body	5120	exit
2.0ms	10×	body	160	valid
1.0ms	10×	body	160	nan
1.0ms	6×	body	80	valid

simplify51.0ms

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: 31.4b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

2.4b	(fmod a (asin a))
29.4b	(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

prune57.0ms

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: 31.4b

Counts

29 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5

end0.0ms

sample9.2s

Algorithm

intervals

Results

2.5s	2983×	body	2560	valid
1.5s	3018×	body	2560	nan
1.4s	16229×	body	80	nan
1.2s	2521×	body	1280	valid
847.0ms	2577×	body	1280	nan
412.0ms	1250×	body	640	valid
286.0ms	1241×	body	640	nan
140.0ms	620×	body	320	valid
111.0ms	659×	body	320	nan
77.0ms	272×	body	5120	exit
52.0ms	314×	body	160	valid
42.0ms	320×	body	160	nan
27.0ms	312×	body	80	valid