Details

sample868.0ms

Algorithm

intervals

Results

686.0ms	254×	body	10240	exit
57.0ms	75×	body	1280	valid
52.0ms	62×	body	640	valid
15.0ms	7×	body	2560	valid
12.0ms	167×	body	80	nan
7.0ms	72×	body	80	valid
7.0ms	28×	body	320	valid
2.0ms	12×	body	160	valid

simplify634.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	16
3	16
2	14
1	11
0	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.6b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
42.8b	(fmod (cosh c) (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:

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

series11.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(log1p a)
10.0ms	(fmod (cosh c) (log1p a))

simplify2.5s

Counts

22 → 22

Iterations

Iter	Nodes
done	5002
9	2535
8	799
7	343
6	181
5	89
4	58
3	43
2	35
1	29
0	21

prune195.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 36.6b

localize43.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (log1p a))
0.7b	(cbrt (log1p a))
0.7b	(cbrt (log1p a))
42.8b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (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:

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

series473.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt (log1p a))
181.0ms	(cbrt (log1p a))
124.0ms	(cbrt (log1p a))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify3.4s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
6	4306
5	896
4	394
3	148
2	80
1	47
0	30

prune417.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 35.7b

localize61.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (log1p a))
0.7b	(cbrt (log1p a))
42.8b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
42.8b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite5.0ms

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:

1.0ms	(cbrt (log1p a))
2.0ms	(cbrt (log1p a))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
1.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series350.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt (log1p a))
164.0ms	(cbrt (log1p a))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
6.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify3.3s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
6	4306
5	896
4	394
3	148
2	80
1	47
0	30

prune485.0ms

Pruning

31 alts after pruning (29 fresh and 2 done)

Merged error: 35.3b

localize67.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (log1p a))
0.7b	(cbrt (log1p a))
42.8b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
42.8b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

rewrite5.0ms

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:

1.0ms	(cbrt (log1p a))
2.0ms	(cbrt (log1p a))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
1.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

series319.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (log1p a))
151.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
6.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

simplify2.2s

Counts

52 → 52

Iterations

Iter	Nodes
done	5001
4	966
3	281
2	119
1	65
0	41

prune448.0ms

Pruning

40 alts after pruning (38 fresh and 2 done)

Merged error: 35.1b

regimes1.7s

Accuracy

0% (1.7b remaining)

Error of 34.0b against oracle of 32.2b and baseline of 34.0b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	24
1	24
0	19

end0.0ms

sample19.4s

Algorithm

intervals

Results

14.9s	7930×	body	10240	exit
1.9s	2329×	body	1280	valid
798.0ms	1557×	body	640	valid
380.0ms	5134×	body	80	nan
297.0ms	2744×	body	80	valid
254.0ms	149×	body	2560	valid
193.0ms	789×	body	320	valid
107.0ms	423×	body	160	valid
22.0ms	9×	body	5120	valid