Details

sample508.0ms

Algorithm

intervals

Results

395.0ms	246×	body	10240	exit
33.0ms	54×	body	1280	valid
19.0ms	55×	body	640	valid
8.0ms	173×	body	80	nan
6.0ms	101×	body	80	valid
5.0ms	3×	body	2560	valid
5.0ms	27×	body	320	valid
2.0ms	16×	body	160	valid

simplify13.0ms

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

prune35.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.6b

localize18.0ms

Local error

Found 1 expressions with local error:

35.8b

(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 7

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(fmod (cosh c) (log1p a))

simplify1.2s

Counts

10 → 10

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	12	75
1	19	75
2	24	65
3	30	65
4	38	65
5	72	65
6	148	65
7	334	65
8	1002	65
done	5001	65

prune44.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 31.6b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (fmod (cosh c) (log1p a)))
35.8b	(fmod (cosh c) (log1p a))
35.8b	(fmod (cosh c) (log1p a))
35.8b	(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

Calls

4 calls:

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

series76.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(cbrt (fmod (cosh c) (log1p a)))
5.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))

simplify1.2s

Counts

44 → 44

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	24	359
1	41	355
2	92	289
3	235	286
4	1041	286
done	5000	286

prune190.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 31.6b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(log (cbrt (fmod (cosh c) (log1p a))))
35.8b	(fmod (cosh c) (log1p a))
35.8b	(fmod (cosh c) (log1p a))
35.8b	(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 37

Calls

4 calls:

2.0ms	(log (cbrt (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series145.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(log (cbrt (fmod (cosh c) (log1p a))))
3.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))

simplify1.1s

Counts

49 → 49

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	37	440
1	57	432
2	117	358
3	283	358
4	1521	358
done	5000	358

prune345.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 31.6b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(log (cbrt (fmod (cosh c) (log1p a))))
35.8b	(fmod (cosh c) (log1p a))
35.8b	(fmod (cosh c) (log1p a))
35.8b	(fmod (cosh c) (log1p a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 37

Calls

4 calls:

3.0ms	(log (cbrt (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))

series101.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(log (cbrt (fmod (cosh c) (log1p a))))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify1.1s

Counts

49 → 49

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	37	440
1	57	432
2	117	358
3	283	358
4	1521	358
done	5000	358

prune265.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 31.6b

regimes787.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	36
1	21	36
done	21	36

end0.0ms

sample19.6s

Algorithm

intervals

Results

14.0s	7897×	body	10240	exit
2.3s	2301×	body	1280	valid
726.0ms	2807×	body	80	valid
653.0ms	1577×	body	640	valid
319.0ms	5128×	body	80	nan
253.0ms	143×	body	2560	valid
251.0ms	787×	body	320	valid
62.0ms	379×	body	160	valid
16.0ms	6×	body	5120	valid