Details

sample328.0ms

Algorithm

intervals

Results

249.0ms	236×	body	10240	exit
32.0ms	72×	body	1280	valid
11.0ms	52×	body	640	valid
7.0ms	6×	body	2560	valid
4.0ms	151×	body	80	nan
4.0ms	93×	body	80	valid
2.0ms	20×	body	160	valid
2.0ms	13×	body	320	valid

simplify6.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
37.4b	(fmod (cosh c) (log1p a))

rewrite1.0ms

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

series3.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify1.7s

Counts

20 → 20

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	19	111
1	27	111
2	33	97
3	41	97
4	50	97
5	67	97
6	108	97
7	222	97
8	632	97
9	2509	97
done	5001	97

prune68.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 32.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
37.4b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite3.0ms

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:

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

series305.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(cbrt (log1p a))
100.0ms	(cbrt (log1p a))
102.0ms	(cbrt (log1p a))
2.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify729.0ms

Counts

52 → 52

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	28	396
1	42	384
2	76	281
3	134	248
4	330	248
5	1182	248
done	5000	248

prune159.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 31.8b

localize15.0ms

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)))
37.4b	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

rewrite4.0ms

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:

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 (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

series310.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (cbrt (log1p a)))
101.0ms	(cbrt (cbrt (log1p a)))
105.0ms	(cbrt (cbrt (log1p a)))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

simplify3.7s

Counts

61 → 61

Iterations

Useful iterations: 6 (243.0ms)

Iter	Nodes	Cost
0	38	647
1	56	641
2	79	503
3	115	470
4	215	419
5	452	395
6	1251	383
7	4379	383
done	5000	383

prune230.0ms

Pruning

28 alts after pruning (26 fresh and 2 done)

Merged error: 31.3b

localize18.0ms

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)))
37.4b	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (* (* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a))))))) (cbrt (log1p a))))

rewrite3.0ms

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:

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 (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (* (* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a))))))) (cbrt (log1p a))))

series287.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (cbrt (log1p a)))
93.0ms	(cbrt (cbrt (log1p a)))
94.0ms	(cbrt (cbrt (log1p a)))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (* (* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a))))))) (cbrt (log1p a))))

simplify3.9s

Counts

61 → 61

Iterations

Useful iterations: 5 (832.0ms)

Iter	Nodes	Cost
0	40	777
1	64	771
2	115	591
3	255	470
4	978	413
5	3602	389
done	5001	389

prune207.0ms

Pruning

30 alts after pruning (28 fresh and 2 done)

Merged error: 31.2b

regimes591.0ms

Accuracy

0% (1.8b remaining)

Error of 33.9b against oracle of 32.0b and baseline of 33.9b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	48
1	25	48
done	25	48

end0.0ms

sample9.8s

Algorithm

intervals

Results

7.6s	7889×	body	10240	exit
984.0ms	2326×	body	1280	valid
326.0ms	1617×	body	640	valid
134.0ms	5215×	body	80	nan
126.0ms	126×	body	2560	valid
105.0ms	2770×	body	80	valid
88.0ms	752×	body	320	valid
35.0ms	401×	body	160	valid
12.0ms	8×	body	5120	valid