Details

sample802.0ms

Algorithm

intervals

Results

600.0ms	262×	body	10240	exit
96.0ms	78×	body	1280	valid
28.0ms	57×	body	640	valid
10.0ms	5×	body	2560	valid
9.0ms	154×	body	80	nan
7.0ms	26×	body	320	valid
7.0ms	80×	body	80	valid
2.0ms	10×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.1b

localize53.0ms

Local error

Found 1 expressions with local error:

41.2b

(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

1 → 9

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series19.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(fmod (cosh c) (log1p a))

simplify1.6s

Counts

12 → 12

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	14	87
1	21	87
2	26	77
3	32	77
4	40	77
5	74	77
6	154	77
7	324	77
8	1030	77
done	5000	77

prune64.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 36.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.6b	(exp (log (fmod (cosh c) (log1p a))))
0.8b	(log (fmod (cosh c) (log1p a)))
41.2b	(fmod (cosh c) (log1p a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `exp-prod`
3×	`expm1-log1p-u` `exp-sum` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 40

Calls

3 calls:

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
3.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series46.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(exp (log (fmod (cosh c) (log1p a))))
37.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify3.6s

Counts

49 → 49

Iterations

Useful iterations: 4 (92.0ms)

Iter	Nodes	Cost
0	44	426
1	68	385
2	105	339
3	161	339
4	233	333
5	401	333
6	1023	333
7	4620	333
done	5001	333

prune266.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 36.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.8b	(log (fmod (cosh c) (log1p a)))
41.2b	(fmod (cosh c) (log1p a))
41.2b	(fmod (cosh c) (log1p a))
41.2b	(fmod (cosh c) (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-prod`
1×	`rem-log-exp` `log-pow`

Counts

4 → 41

Calls

4 calls:

1.0ms	(log (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))

series52.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(log (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))

simplify1.7s

Counts

53 → 53

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	28	412
1	42	409
2	59	362
3	73	362
4	94	362
5	169	362
6	331	362
7	742	362
8	2324	362
done	5000	362

prune382.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 36.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.8b	(log (fmod (cosh c) (log1p a)))
41.2b	(fmod (cosh c) (log1p a))
41.2b	(fmod (cosh c) (log1p a))
41.2b	(fmod (cosh c) (log1p a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-prod`
1×	`rem-log-exp` `log-pow`

Counts

4 → 41

Calls

4 calls:

3.0ms	(log (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))

series59.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(log (fmod (cosh c) (log1p a)))
5.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))
13.0ms	(fmod (cosh c) (log1p a))

simplify1.6s

Counts

53 → 53

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	28	412
1	42	409
2	59	362
3	73	362
4	94	362
5	169	362
6	331	362
7	742	362
8	2324	362
done	5000	362

prune414.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 36.0b

regimes593.0ms

Accuracy

0% (0.1b remaining)

Error of 33.4b against oracle of 33.4b and baseline of 33.4b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	35
1	18	35
done	18	35

end0.0ms

sample19.1s

Algorithm

intervals

Results

13.2s	7620×	body	10240	exit
2.2s	2278×	body	1280	valid
1.1s	1575×	body	640	valid
878.0ms	5228×	body	80	nan
290.0ms	146×	body	2560	valid
243.0ms	2885×	body	80	valid
159.0ms	710×	body	320	valid
77.0ms	397×	body	160	valid
21.0ms	9×	body	5120	valid