Details

sample677.0ms

Algorithm

intervals

Results

492.0ms	236×	body	10240	exit
84.0ms	82×	body	1280	valid
25.0ms	47×	body	640	valid
17.0ms	206×	body	80	nan
11.0ms	89×	body	80	valid
10.0ms	23×	body	320	valid
7.0ms	3×	body	2560	valid
3.0ms	12×	body	160	valid

simplify57.0ms

Counts: 1 → 1

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.9b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`expm1-log1p-u`
2×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`log1p-udef` `log1p-expm1`

Counts

2 → 22

Calls

2 calls:

Slowest

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

series517.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

500.0ms	(log1p a)
16.0ms	(fmod (cosh c) (log1p a))

simplify1.4s

Counts: 28 → 28

prune380.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 32.7b

localize44.0ms

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×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`

Counts

4 → 52

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))))

series189.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

69.0ms	(cbrt (log1p a))
59.0ms	(cbrt (log1p a))
56.0ms	(cbrt (log1p a))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify817.0ms

Counts: 64 → 64

prune1.0s

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 31.9b

localize43.0ms

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))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3`

Counts

4 → 48

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))))

series161.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

90.0ms	(cbrt (log1p a))
65.0ms	(cbrt (log1p a))
3.0ms	(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))))

simplify768.0ms

Counts: 60 → 60

prune1.4s

Pruning

36 alts after pruning (34 fresh and 2 done)

Merged error: 31.6b

localize66.0ms

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))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `log-prod`
1×	`pow1/3` `rem-log-exp` `log-pow`

Counts

4 → 49

Calls

4 calls:

Slowest

2.0ms	(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))))

series106.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

64.0ms	(cbrt (log1p a))
33.0ms	(log (fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a)))))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify842.0ms

Counts: 61 → 61

prune1.1s

Pruning

45 alts after pruning (43 fresh and 2 done)

Merged error: 31.5b

regimes1.6s

Accuracy

0% (1.7b remaining)

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

bsearch5.0ms

end0.0ms

sample17.6s

Algorithm

intervals

Results

12.9s	7665×	body	10240	exit
2.1s	2249×	body	1280	valid
763.0ms	1563×	body	640	valid
440.0ms	5247×	body	80	nan
363.0ms	2829×	body	80	valid
272.0ms	158×	body	2560	valid
230.0ms	771×	body	320	valid
105.0ms	423×	body	160	valid
16.0ms	7×	body	5120	valid