Details

sample579.0ms

Algorithm

intervals

Results

403.0ms	236×	body	10240	exit
70.0ms	82×	body	1280	valid
31.0ms	89×	body	80	valid
20.0ms	47×	body	640	valid
16.0ms	206×	body	80	nan
6.0ms	23×	body	320	valid
5.0ms	3×	body	2560	valid
2.0ms	12×	body	160	valid

simplify60.0ms

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.9b

localize13.0ms

Local error

Found 2 expressions with local error:

38.3b	(fmod (cosh c) (log1p a))
0.0b	(log1p a)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

2 → 16

Calls

2 calls:

Slowest

1.0ms	(fmod (cosh c) (log1p a))
0.0ms	(log1p a)

series13.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

11.0ms	(fmod (cosh c) (log1p a))
1.0ms	(log1p a)

simplify2.3s

Counts: 22 → 22

prune227.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 32.7b

localize42.0ms

Local error

Found 4 expressions with local error:

38.3b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow1/3`

Counts

4 → 44

Calls

4 calls:

Slowest

2.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
1.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series440.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

181.0ms	(cbrt (log1p a))
138.0ms	(cbrt (log1p a))
116.0ms	(cbrt (log1p a))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify2.2s

Counts: 56 → 56

prune778.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 31.9b

localize61.0ms

Local error

Found 4 expressions with local error:

38.3b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
38.3b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`pow1/3`

Counts

4 → 40

Calls

4 calls:

Slowest

1.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series266.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

142.0ms	(cbrt (log1p a))
115.0ms	(cbrt (log1p a))
4.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
4.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify2.0s

Counts: 52 → 52

prune1.1s

Pruning

36 alts after pruning (34 fresh and 2 done)

Merged error: 31.6b

localize48.0ms

Local error

Found 4 expressions with local error:

38.3b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
38.3b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
0.8b	(log (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a)))))
0.6b	(cbrt (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`cbrt-prod` `log-prod`
1×	`pow1/3` `rem-log-exp` `log-pow`

Counts

4 → 41

Calls

4 calls:

Slowest

1.0ms	(log (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a)))))
1.0ms	(cbrt (log1p a))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series171.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

126.0ms	(cbrt (log1p a))
33.0ms	(log (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a)))))
9.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify2.1s

Counts: 53 → 53

prune741.0ms

Pruning

44 alts after pruning (42 fresh and 2 done)

Merged error: 31.5b

regimes1.4s

Accuracy

0% (1.7b remaining)

Error of 33.4b against oracle of 31.7b and baseline of 33.4b

bsearch4.0ms

end0.0ms

sample16.9s

Algorithm

intervals

Results

12.5s	7665×	body	10240	exit
1.9s	2249×	body	1280	valid
692.0ms	1563×	body	640	valid
397.0ms	5247×	body	80	nan
330.0ms	2829×	body	80	valid
255.0ms	158×	body	2560	valid
252.0ms	771×	body	320	valid
99.0ms	423×	body	160	valid
13.0ms	7×	body	5120	valid