Details

sample325.0ms

Algorithm

intervals

Results

126.0ms	99×	body	2560	valid
77.0ms	813×	body	80	nan
47.0ms	71×	body	1280	valid
18.0ms	39×	body	640	valid
8.0ms	26×	body	320	valid
2.0ms	11×	body	160	valid
1.0ms	10×	body	80	valid

simplify4.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	10	9
2	17	9
3	41	9
4	108	9
5	452	9
6	4178	9
done	5002	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.3b

localize22.0ms

Local error

Found 2 expressions with local error:

2.2b	(fmod a (asin a))
27.5b	(pow (atan (fmod a (asin a))) (* a a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
2×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`pow-to-exp` `pow-unpow` `pow-pow` `pow-exp` `sqr-pow`

Counts

2 → 26

Calls

2 calls:

0.0ms	(fmod a (asin a))
6.0ms	(pow (atan (fmod a (asin a))) (* a a))

series31.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(fmod a (asin a))
28.0ms	(pow (atan (fmod a (asin a))) (* a a))

simplify676.0ms

Counts

32 → 32

Iterations

Useful iterations: done (674.0ms)

Iter	Nodes	Cost
0	50	352
1	119	337
2	554	319
done	5000	318

prune183.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize31.0ms

Local error

Found 4 expressions with local error:

2.2b	(fmod a (asin a))
2.2b	(fmod a (asin a))
27.7b	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
27.7b	(pow (atan (fmod a (asin a))) (/ (* a a) 2))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow-unpow`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `unpow-prod-down` `times-frac`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

0.0ms	(fmod a (asin a))
0.0ms	(fmod a (asin a))
7.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
7.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))

series74.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(fmod a (asin a))
3.0ms	(fmod a (asin a))
30.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
38.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))

simplify5.1s

Counts

76 → 76

Iterations

Useful iterations: 3 (2.4s)

Iter	Nodes	Cost
0	68	960
1	172	906
2	669	866
3	4954	824
done	5000	824

prune563.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 33.1b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
done	9	23

end0.0ms

sample12.5s

Algorithm

intervals

Results

4.1s	24078×	body	80	nan
3.7s	2978×	body	2560	valid
2.0s	2554×	body	1280	valid
727.0ms	1259×	body	640	valid
693.0ms	630×	body	320	valid
73.0ms	315×	body	160	valid
50.0ms	264×	body	80	valid