Details

sample415.0ms

Algorithm

intervals

Results

154.0ms	87×	body	2560	valid
125.0ms	750×	body	80	nan
72.0ms	84×	body	1280	valid
32.0ms	52×	body	640	valid
7.0ms	15×	body	320	valid
3.0ms	9×	body	160	valid
2.0ms	9×	body	80	valid

simplify44.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

44.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.8b

localize424.0ms

Local error

Found 2 expressions with local error:

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

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))

series29.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

26.0ms	(pow (atan (fmod a (asin a))) (* a a))
3.0ms	(fmod a (asin a))

simplify1.1s

Counts

11 → 34

Calls

11 calls:

Slowest

460.0ms	(+ (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))) (+ 1 (* (pow a 2) (log (atan (fmod a (asin a)))))))
317.0ms	(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a))
151.0ms	(pow (sqrt (atan (fmod a (asin a)))) (* a a))
58.0ms	(pow (atan (fmod a (asin a))) (pow a 2))
56.0ms	(pow (atan (fmod a (asin a))) (pow a 2))

prune287.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 32.3b

localize41.0ms

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))

rewrite16.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

Slowest

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

27.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
26.0ms	(pow (atan (fmod a (asin a))) (/ (* a a) 2))
3.0ms	(fmod a (asin a))
3.0ms	(fmod a (asin a))

simplify3.6s

Counts

36 → 80

Calls

36 calls:

Slowest

551.0ms	(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (/ (* a a) 2))
500.0ms	(+ (* 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))))))))
486.0ms	(pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (/ (* a a) 2))
479.0ms	(+ (* 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))))))))
236.0ms	(exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a)))))))

prune835.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 32.3b

regimes74.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample13.9s

Algorithm

intervals

Results

4.9s	2987×	body	2560	valid
4.3s	24245×	body	80	nan
2.8s	2520×	body	1280	valid
881.0ms	1259×	body	640	valid
367.0ms	640×	body	320	valid
94.0ms	305×	body	160	valid
56.0ms	289×	body	80	valid