Details

sample652.0ms

Algorithm

intervals

Results

491.0ms	259×	body	10240	exit
80.0ms	71×	body	1280	valid
21.0ms	48×	body	640	valid
10.0ms	164×	body	80	nan
7.0ms	90×	body	80	valid
7.0ms	26×	body	320	valid
3.0ms	18×	body	160	valid
3.0ms	3×	body	2560	valid

simplify16.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.9b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
38.4b	(fmod (cosh c) (log1p a))

rewrite2.0ms

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))

series38.0ms

Counts

2 → 6

Calls

2 calls:

1.0ms	(log1p a)
37.0ms	(fmod (cosh c) (log1p a))

simplify2.7s

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

prune112.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 33.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
38.4b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite9.0ms

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))
2.0ms	(cbrt (log1p a))
3.0ms	(cbrt (log1p a))
1.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series535.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (log1p a))
168.0ms	(cbrt (log1p a))
179.0ms	(cbrt (log1p a))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify3.6s

Counts

56 → 56

Iterations

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

prune773.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 32.3b

localize51.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (cbrt (log1p a)))
0.7b	(cbrt (cbrt (log1p a)))
0.7b	(cbrt (cbrt (log1p a)))
38.4b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
10×	`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 → 53

Calls

4 calls:

2.0ms	(cbrt (cbrt (log1p a)))
3.0ms	(cbrt (cbrt (log1p a)))
2.0ms	(cbrt (cbrt (log1p a)))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

series463.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (cbrt (log1p a)))
152.0ms	(cbrt (cbrt (log1p a)))
150.0ms	(cbrt (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))))))

simplify3.7s

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
7	3474
6	1142
5	510
4	266
3	166
2	86
1	58
0	39

prune566.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 31.8b

localize62.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (cbrt (log1p a)))
0.7b	(cbrt (cbrt (log1p a)))
0.7b	(cbrt (cbrt (log1p a)))
38.4b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (* (cbrt (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a))))))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
10×	`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 → 53

Calls

4 calls:

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

series438.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt (cbrt (log1p a)))
142.0ms	(cbrt (cbrt (log1p a)))
148.0ms	(cbrt (cbrt (log1p a)))
7.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (* (cbrt (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a))))))))

simplify3.2s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
5	1831
4	760
3	302
2	123
1	66
0	41

prune392.0ms

Pruning

37 alts after pruning (37 fresh and 0 done)

Merged error: 31.6b

regimes1.5s

Accuracy

0% (2.0b remaining)

Error of 34.0b against oracle of 32.1b and baseline of 34.0b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	20
1	20
0	16

end0.0ms

sample19.0s

Algorithm

intervals

Results

14.2s	7657×	body	10240	exit
2.4s	2319×	body	1280	valid
654.0ms	1611×	body	640	valid
355.0ms	5392×	body	80	nan
264.0ms	154×	body	2560	valid
250.0ms	759×	body	320	valid
213.0ms	2741×	body	80	valid
114.0ms	407×	body	160	valid
24.0ms	9×	body	5120	valid