Details

sample177.0ms

Algorithm

intervals

Results

67.0ms	95×	body	2560	valid
46.0ms	665×	body	80	nan
28.0ms	78×	body	1280	valid
11.0ms	46×	body	640	valid
3.0ms	15×	body	320	valid
1.0ms	11×	body	160	valid
1.0ms	11×	body	80	valid

simplify53.0ms

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	1897	5
6	5002	5

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 32.3b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

1.9b	(fmod a (asin a))
28.0b	(pow (atan (fmod a (asin a))) (* a a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow-unpow`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
3×	`pow1` `add-exp-log` `unpow-prod-down` `swap-sqr` `associate-r` `associate-l`
2×	`add-cbrt-cube` `add-log-exp`
1×	`pow-to-exp` `pow-pow` `pow-exp` `*-commutative` `unswap-sqr` `sqr-pow`

Counts

2 → 36

Calls

2 calls:

1.0ms	(fmod a (asin a))
4.0ms	(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))

simplify103.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	161	257
1	595	246
2	2933	246
3	5001	246

prune81.0ms

Filtered

42 candidates to 29 candidates (31.0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	1	43

Merged error: 32.3b

Counts

43 → 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	2988×	body	2560	valid
1.6s	23995×	body	80	nan
969.0ms	2511×	body	1280	valid
315.0ms	1268×	body	640	valid
105.0ms	603×	body	320	valid
40.0ms	313×	body	160	valid
26.0ms	317×	body	80	valid