Details

sample578.0ms

Algorithm

intervals

Results

441.0ms	262×	body	10240	exit
51.0ms	78×	body	1280	valid
20.0ms	57×	body	640	valid
8.0ms	154×	body	80	nan
7.0ms	5×	body	2560	valid
6.0ms	26×	body	320	valid
6.0ms	80×	body	80	valid
2.0ms	10×	body	160	valid

simplify63.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

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

localize14.0ms

Local error

Found 1 expressions with local error:

41.2b

(fmod (cosh c) (log1p a))

rewrite3.0ms

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 (11.0ms)

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

prune41.0ms

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))

rewrite11.0ms

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×	`exp-sum` `add-cbrt-cube` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 34

Calls

3 calls:

7.0ms	(exp (log (fmod (cosh c) (log1p a))))
2.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series48.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
38.0ms	(log (fmod (cosh c) (log1p a)))
6.0ms	(fmod (cosh c) (log1p a))

simplify3.3s

Counts

43 → 43

Iterations

Useful iterations: 4 (76.0ms)

Iter	Nodes	Cost
0	38	384
1	62	347
2	98	301
3	153	301
4	241	295
5	421	295
6	1047	295
7	4342	295
done	5001	295

prune214.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 36.1b

localize33.0ms

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×	`add-cbrt-cube` `add-log-exp`
3×	`log-prod`
1×	`rem-log-exp` `log-pow`

Counts

4 → 33

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:

41.0ms	(log (fmod (cosh c) (log1p a)))
4.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify1.6s

Counts

45 → 45

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	24	362
1	38	359
2	55	312
3	69	312
4	89	312
5	163	312
6	329	312
7	740	312
8	2307	312
done	5000	312

prune294.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 36.1b

localize26.0ms

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×	`add-cbrt-cube` `add-log-exp`
3×	`log-prod`
1×	`rem-log-exp` `log-pow`

Counts

4 → 33

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))

series60.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(log (fmod (cosh c) (log1p a)))
6.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))

simplify1.6s

Counts

45 → 45

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	24	362
1	38	359
2	55	312
3	69	312
4	89	312
5	163	312
6	329	312
7	740	312
8	2307	312
done	5000	312

prune302.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 36.1b

regimes497.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample18.8s

Algorithm

intervals

Results

13.5s	7620×	body	10240	exit
2.2s	2278×	body	1280	valid
674.0ms	1575×	body	640	valid
495.0ms	5228×	body	80	nan
303.0ms	2885×	body	80	valid
236.0ms	146×	body	2560	valid
194.0ms	710×	body	320	valid
108.0ms	397×	body	160	valid
20.0ms	9×	body	5120	valid