Details

sample429.0ms

Algorithm

intervals

Results

141.0ms	97×	body	2560	valid
118.0ms	713×	body	80	nan
77.0ms	87×	body	1280	valid
59.0ms	37×	body	640	valid
7.0ms	16×	body	320	valid
3.0ms	9×	body	160	valid
2.0ms	10×	body	80	valid

simplify1.5s

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.6b

localize20.0ms

Local error

Found 2 expressions with local error:

29.9b	(pow (atan (fmod a (asin a))) (* a a))
2.4b	(fmod a (asin a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `pow1` `unpow-prod-down` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
2×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-to-exp` `pow-unpow` `pow-pow` `pow-exp` `sqr-pow`

Counts

2 → 28

Calls

2 calls:

Slowest

3.0ms	(pow (atan (fmod a (asin a))) (* a a))
0.0ms	(fmod a (asin a))

series21.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

19.0ms	(pow (atan (fmod a (asin a))) (* a a))
2.0ms	(fmod a (asin a))

simplify1.0s

Counts: 38 → 34

prune331.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.6b

localize26.0ms

Local error

Found 4 expressions with local error:

29.9b	(pow (atan (* (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))))) (* a a))
2.4b	(fmod a (asin a))
2.4b	(fmod a (asin a))
2.4b	(fmod a (asin a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down`
1×	`pow-to-exp` `pow-unpow` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 48

Calls

4 calls:

Slowest

5.0ms	(pow (atan (* (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))))) (* a a))
0.0ms	(fmod a (asin a))
0.0ms	(fmod a (asin a))
0.0ms	(fmod a (asin a))

series23.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

17.0ms	(pow (atan (* (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))))) (* a a))
2.0ms	(fmod a (asin a))
2.0ms	(fmod a (asin a))
2.0ms	(fmod a (asin a))

simplify848.0ms

Counts: 64 → 60

prune689.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 30.6b

end0.0ms

sample14.0s

Algorithm

intervals

Results

4.9s	3035×	body	2560	valid
4.7s	23892×	body	80	nan
2.4s	2490×	body	1280	valid
851.0ms	1299×	body	640	valid
300.0ms	624×	body	320	valid
129.0ms	292×	body	160	valid
50.0ms	260×	body	80	valid