Details

sample418.0ms

Algorithm

intervals

Results

143.0ms	103×	body	2560	valid
134.0ms	770×	body	80	nan
83.0ms	75×	body	1280	valid
22.0ms	38×	body	640	valid
11.0ms	26×	body	320	valid
2.0ms	8×	body	160	valid
1.0ms	6×	body	80	valid

simplify34.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

34.0ms

(pow (atan (fmod a (asin a))) (* a a))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize25.0ms

Local error

Found 2 expressions with local error:

31.9b	(pow (atan (fmod a (asin a))) (* a a))
1.7b	(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×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
1×	`pow-to-exp` `pow-unpow` `pow-pow` `pow-exp` `sqr-pow`

Counts

2 → 24

Calls

2 calls:

Slowest

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

series19.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

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

simplify1.0s

Counts

11 → 30

Calls

11 calls:

Slowest

422.0ms	(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))
409.0ms	(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
92.0ms	(pow (sqrt (atan (fmod a (asin a)))) (* a a))
44.0ms	(pow (atan (fmod a (asin a))) (pow a 2))
37.0ms	(pow (atan (fmod a (asin a))) (pow a 2))

prune288.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 29.2b

end0.0ms

sample13.3s

Algorithm

intervals

Results

4.5s	23803×	body	80	nan
4.3s	3048×	body	2560	valid
2.2s	2503×	body	1280	valid
907.0ms	1263×	body	640	valid
761.0ms	625×	body	320	valid
79.0ms	272×	body	160	valid
51.0ms	289×	body	80	valid