Details

sample384.0ms

Algorithm

intervals

Results

127.0ms	750×	body	80	nan
122.0ms	87×	body	2560	valid
68.0ms	84×	body	1280	valid
30.0ms	52×	body	640	valid
6.0ms	15×	body	320	valid
3.0ms	9×	body	160	valid
2.0ms	9×	body	80	valid

simplify88.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

88.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.8b

localize14.0ms

Local error

Found 2 expressions with local error:

27.5b	(pow (atan (fmod a (asin a))) (* a a))
1.5b	(fmod a (asin a))

rewrite4.0ms

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))

series24.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

21.0ms	(pow (atan (fmod a (asin a))) (* a a))
3.0ms	(fmod a (asin a))

simplify1.4s

Counts

11 → 30

Calls

11 calls:

Slowest

841.0ms	(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
285.0ms	(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))
87.0ms	(pow (sqrt (atan (fmod a (asin a)))) (* a a))
60.0ms	(pow (atan (fmod a (asin a))) (pow a 2))
51.0ms	(pow (atan (fmod a (asin a))) (pow a 2))

prune313.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 32.3b

localize44.0ms

Local error

Found 4 expressions with local error:

27.7b	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
27.7b	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
1.5b	(fmod a (asin a))
1.5b	(fmod a (asin a))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow-unpow`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `unpow-prod-down` `times-frac` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

Slowest

7.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
6.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
0.0ms	(fmod a (asin a))
0.0ms	(fmod a (asin a))

series59.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

35.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
20.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
2.0ms	(fmod a (asin a))
2.0ms	(fmod a (asin a))

simplify3.7s

Counts

36 → 72

Calls

36 calls:

Slowest

614.0ms	(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (/ (* a a) 2))
591.0ms	(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (/ (* a a) 2))
503.0ms	(+ (* 1/8 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))))
445.0ms	(+ (* 1/8 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))))
233.0ms	(exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a)))))))

prune908.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 32.3b

regimes58.0ms

Accuracy

0% (0.0b remaining)

Error of 31.4b against oracle of 31.4b and baseline of 31.4b

bsearch2.0ms

end0.0ms

sample14.8s

Algorithm

intervals

Results

4.7s	2987×	body	2560	valid
4.2s	24245×	body	80	nan
3.0s	2520×	body	1280	valid
1.3s	1259×	body	640	valid
553.0ms	289×	body	80	valid
335.0ms	640×	body	320	valid
130.0ms	305×	body	160	valid