Details

sample311.0ms

Algorithm

intervals

Results

78.0ms	94×	body	2560	valid
54.0ms	113×	body	2560	nan
50.0ms	569×	body	80	nan
42.0ms	85×	body	1280	valid
31.0ms	98×	body	1280	nan
10.0ms	30×	body	640	valid
7.0ms	31×	body	640	nan
5.0ms	24×	body	320	valid
3.0ms	21×	body	320	nan
2.0ms	8×	body	5120	exit
2.0ms	13×	body	160	valid
2.0ms	13×	body	160	nan
1.0ms	10×	body	80	valid

simplify48.0ms

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: 31.9b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

2.4b	(fmod a (asin a))
28.4b	(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))

simplify51.0ms

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

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: 31.9b

Counts

29 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5

end0.0ms

sample9.6s

Algorithm

intervals

Results

2.5s	2949×	body	2560	valid
1.6s	3131×	body	2560	nan
1.5s	16397×	body	80	nan
1.3s	2566×	body	1280	valid
883.0ms	2546×	body	1280	nan
434.0ms	1263×	body	640	valid
319.0ms	1284×	body	640	nan
147.0ms	638×	body	320	valid
107.0ms	601×	body	320	nan
87.0ms	301×	body	5120	exit
46.0ms	290×	body	160	valid
42.0ms	338×	body	160	nan
27.0ms	294×	body	80	valid