Details

sample430.0ms

Algorithm

intervals

Results

165.0ms	96×	body	2560	valid
118.0ms	777×	body	80	nan
76.0ms	80×	body	1280	valid
27.0ms	43×	body	640	valid
7.0ms	16×	body	320	valid
5.0ms	15×	body	160	valid
1.0ms	6×	body	80	valid

simplify72.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

71.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.9b

localize28.0ms

Local error

Found 2 expressions with local error:

30.9b	(pow (atan (fmod a (asin a))) (* a a))
2.7b	(fmod a (asin a))

rewrite6.0ms

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))

series20.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

18.0ms	(pow (atan (fmod a (asin a))) (* a a))
2.0ms	(fmod a (asin a))

simplify4.0s

Counts

38 → 34

Calls

38 calls:

Slowest

607.0ms	(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
514.0ms	(* (* (pow (atan (fmod a (asin a))) (* a a)) (pow (atan (fmod a (asin a))) (* a a))) (pow (atan (fmod a (asin a))) (* a a)))
415.0ms	(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))
347.0ms	(* (cbrt (pow (atan (fmod a (asin a))) (* a a))) (cbrt (pow (atan (fmod a (asin a))) (* a a))))
213.0ms	(log (pow (atan (fmod a (asin a))) (* a a)))

prune383.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 29.9b

end0.0ms

sample15.5s

Algorithm

intervals

Results

5.5s	24060×	body	80	nan
5.3s	3068×	body	2560	valid
2.4s	2425×	body	1280	valid
929.0ms	1230×	body	640	valid
422.0ms	634×	body	320	valid
107.0ms	314×	body	160	valid
68.0ms	329×	body	80	valid