Details

Algorithm

intervals

Results

Calls

1 calls:

Slowest

47.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.6b

Local error

Found 2 expressions with local error:

27.5b	(pow (atan (fmod a (asin a))) (* a a))
3.6b	(fmod a (asin a))

Algorithm

rewrite-expression-head

Rules

15×	`pow-unpow`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
3×	`pow1` `unpow-prod-down` `swap-sqr` `associate-r` `associate-l` `add-exp-log`
2×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
1×	`pow-to-exp` `pow-pow` `pow-exp` `*-commutative` `unswap-sqr` `sqr-pow`

Calls

2 calls:

Slowest

9.0ms	(pow (atan (fmod a (asin a))) (* a a))
0.0ms	(fmod a (asin a))

Calls

2 calls:

Slowest

38.0ms	(pow (atan (fmod a (asin a))) (* a a))
2.0ms	(fmod a (asin a))

Calls

23 calls:

Slowest

411.0ms	(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))
393.0ms	(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
116.0ms	(pow (sqrt (atan (fmod a (asin a)))) (* a a))
60.0ms	(pow (atan (fmod a (asin a))) (pow a 2))
46.0ms	(pow (atan (fmod a (asin a))) (pow a 2))

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 33.6b

Algorithm

intervals

Results