Details

sample628.0ms

Algorithm

intervals

Results

435.0ms	271×	body	10240	exit
102.0ms	69×	body	1280	valid
19.0ms	53×	body	640	valid
8.0ms	146×	body	80	nan
7.0ms	95×	body	80	valid
5.0ms	23×	body	320	valid
5.0ms	3×	body	2560	valid
2.0ms	12×	body	160	valid
2.0ms	1×	body	5120	valid

simplify41.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
37.8b	(fmod (cosh c) (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 14

Calls

2 calls:

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

series15.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(log1p a)
13.0ms	(fmod (cosh c) (log1p a))

simplify2.7s

Counts

20 → 20

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	19	111
1	27	111
2	41	97
3	80	97
4	257	97
5	1123	97
done	5000	97

prune77.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 32.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
37.8b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

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

series475.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt (log1p a))
155.0ms	(cbrt (log1p a))
148.0ms	(cbrt (log1p a))
7.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify3.6s

Counts

52 → 52

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	28	396
1	56	368
2	231	248
done	5000	248

prune279.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 31.7b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (log1p a)))
0.6b	(cbrt (cbrt (log1p a)))
0.6b	(cbrt (cbrt (log1p a)))
37.8b	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`

Counts

4 → 49

Calls

4 calls:

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

series545.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(cbrt (cbrt (log1p a)))
177.0ms	(cbrt (cbrt (log1p a)))
199.0ms	(cbrt (cbrt (log1p a)))
6.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

simplify4.2s

Counts

61 → 61

Iterations

Useful iterations: 3 (931.0ms)

Iter	Nodes	Cost
0	38	647
1	60	638
2	166	467
3	1106	386
done	5000	386

prune327.0ms

Pruning

25 alts after pruning (23 fresh and 2 done)

Merged error: 31.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (log1p a)))
0.6b	(cbrt (cbrt (log1p a)))
1.1b	(pow (cbrt (cbrt (log1p a))) 6)
37.8b	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (* (cbrt (cbrt (pow (cbrt (cbrt (log1p a))) 6))) (cbrt (cbrt (cbrt (log1p a)))))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 59

Calls

4 calls:

1.0ms	(cbrt (cbrt (log1p a)))
1.0ms	(cbrt (cbrt (log1p a)))
5.0ms	(pow (cbrt (cbrt (log1p a))) 6)
0.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (* (cbrt (cbrt (pow (cbrt (cbrt (log1p a))) 6))) (cbrt (cbrt (cbrt (log1p a)))))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

series547.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (cbrt (log1p a)))
169.0ms	(cbrt (cbrt (log1p a)))
224.0ms	(pow (cbrt (cbrt (log1p a))) 6)
7.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (* (cbrt (cbrt (pow (cbrt (cbrt (log1p a))) 6))) (cbrt (cbrt (cbrt (log1p a)))))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

simplify2.0s

Counts

71 → 71

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	76	899
1	249	861
done	5001	675

prune516.0ms

Pruning

36 alts after pruning (34 fresh and 2 done)

Merged error: 30.7b

regimes1.4s

Accuracy

0% (2.1b remaining)

Error of 33.9b against oracle of 31.9b and baseline of 33.9b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	44
1	27	44
done	27	44

end0.0ms

sample19.8s

Algorithm

intervals

Results

13.9s	7854×	body	10240	exit
1.9s	2360×	body	1280	valid
1.2s	1594×	body	640	valid
756.0ms	5226×	body	80	nan
405.0ms	2759×	body	80	valid
323.0ms	156×	body	2560	valid
218.0ms	762×	body	320	valid
61.0ms	360×	body	160	valid
26.0ms	9×	body	5120	valid