Details

sample393.0ms

Algorithm

intervals

Results

146.0ms	838×	body	80	nan
104.0ms	78×	body	2560	valid
83.0ms	96×	body	1280	valid
19.0ms	35×	body	640	valid
9.0ms	22×	body	320	valid
3.0ms	12×	body	160	valid
2.0ms	13×	body	80	valid

simplify63.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

63.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.3b

localize26.0ms

Local error

Found 2 expressions with local error:

25.3b	(pow (atan (fmod a (asin a))) (* a a))
3.9b	(fmod a (asin a))

rewrite7.0ms

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

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

series33.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

31.0ms	(pow (atan (fmod a (asin a))) (* a a))
2.0ms	(fmod a (asin a))

simplify1.2s

Counts

11 → 34

Calls

11 calls:

Slowest

519.0ms	(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
367.0ms	(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))
122.0ms	(pow (sqrt (atan (fmod a (asin a)))) (* a a))
70.0ms	(pow (atan (fmod a (asin a))) (pow a 2))
44.0ms	(pow (atan (fmod a (asin a))) (pow a 2))

prune360.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 35.3b

end0.0ms

sample14.6s

Algorithm

intervals

Results

5.0s	2950×	body	2560	valid
5.0s	24014×	body	80	nan
2.4s	2452×	body	1280	valid
909.0ms	1274×	body	640	valid
370.0ms	675×	body	320	valid
112.0ms	344×	body	160	valid
88.0ms	305×	body	80	valid