Details

sample155.0ms

Algorithm

intervals

Results

58.0ms	97×	body	2560	valid
38.0ms	781×	body	80	nan
25.0ms	78×	body	1280	valid
11.0ms	48×	body	640	valid
3.0ms	20×	body	320	valid
1.0ms	6×	body	160	valid
1.0ms	7×	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	1906	5
6	5002	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize8.0ms

Local error

Found 2 expressions with local error:

1.7b	(fmod a (asin a))
27.7b	(pow (atan (fmod a (asin a))) (* a a))

rewrite2.0ms

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:

0.0ms	(fmod a (asin a))
1.0ms	(pow (atan (fmod a (asin a))) (* a a))

series19.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify55.0ms

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

prune77.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize11.0ms

Local error

Found 4 expressions with local error:

1.7b	(fmod a (asin a))
1.7b	(fmod a (asin a))
1.7b	(fmod a (asin a))
27.7b	(pow (atan (* (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))))) (* a a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down`
1×	`pow-to-exp` `pow-unpow` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 36

Calls

4 calls:

0.0ms	(fmod a (asin a))
0.0ms	(fmod a (asin a))
0.0ms	(fmod a (asin a))
1.0ms	(pow (atan (* (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))))) (* a a))

series21.0ms

Counts

4 → 12

Calls

4 calls:

1.0ms	(fmod a (asin a))
1.0ms	(fmod a (asin a))
1.0ms	(fmod a (asin a))
18.0ms	(pow (atan (* (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))))) (* a a))

simplify56.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	100	432
1	363	402
2	1385	348
3	5002	330

prune142.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 33.1b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	10	14

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.0s	3070×	body	2560	valid
1.1s	23922×	body	80	nan
874.0ms	2510×	body	1280	valid
282.0ms	1282×	body	640	valid
86.0ms	552×	body	320	valid
31.0ms	271×	body	160	valid
25.0ms	315×	body	80	valid