Details

sample363.0ms

Algorithm

intervals

Results

278.0ms	267×	body	10240	exit
41.0ms	92×	body	1280	valid
8.0ms	38×	body	640	valid
6.0ms	195×	body	80	nan
4.0ms	27×	body	320	valid
3.0ms	85×	body	80	valid
3.0ms	3×	body	2560	valid
1.0ms	11×	body	160	valid

simplify27.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	5
1	11	5
2	14	5
3	16	5
4	18	5
5	19	5
6	25	5
7	36	5
8	62	5
9	164	5
10	1537	5
done	5001	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.2b

localize7.0ms

Local error

Found 1 expressions with local error:

40.0b

(fmod (cosh c) (log1p a))

rewrite1.0ms

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:

0.0ms

(fmod (cosh c) (log1p a))

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(fmod (cosh c) (log1p a))

simplify1.7s

Counts

12 → 12

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	14	87
1	21	87
2	26	77
3	32	77
4	40	77
5	64	77
6	127	77
7	457	77
8	1393	77
done	5000	77

prune45.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 35.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fmod (cosh c) (log1p a)))
0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
40.0b	(fmod (cosh c) (log1p a))
40.0b	(fmod (cosh c) (log1p a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 84

Calls

4 calls:

1.0ms	(sqrt (fmod (cosh c) (log1p a)))
7.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series16.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt (fmod (cosh c) (log1p a)))
2.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify1.7s

Counts

96 → 96

Iterations

Useful iterations: 3 (297.0ms)

Iter	Nodes	Cost
0	63	1178
1	101	778
2	321	698
3	1659	671
done	5000	671

prune211.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 35.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.5b	(exp (log (fmod (cosh c) (log1p a))))
1.1b	(log (fmod (cosh c) (log1p a)))
40.0b	(fmod (cosh c) (log1p a))

rewrite3.0ms

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:

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

series24.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(exp (log (fmod (cosh c) (log1p a))))
20.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify1.2s

Counts

49 → 49

Iterations

Useful iterations: 4 (45.0ms)

Iter	Nodes	Cost
0	44	426
1	62	385
2	85	339
3	106	339
4	156	333
5	275	333
6	688	333
7	2044	333
done	5000	333

prune164.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 35.1b

localize14.0ms

Local error

Found 4 expressions with local error:

1.1b	(log (fmod (cosh c) (log1p a)))
40.0b	(fmod (cosh c) (log1p a))
40.0b	(fmod (cosh c) (log1p a))
40.0b	(fmod (cosh c) (log1p a))

rewrite2.0ms

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))

series26.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify3.7s

Counts

53 → 53

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	28	412
1	39	409
2	51	362
3	65	362
4	81	362
5	132	362
6	263	362
7	1004	362
8	3550	362
done	5001	362

prune176.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 35.1b

regimes423.0ms

Accuracy

0% (0.1b remaining)

Error of 33.9b against oracle of 33.8b and baseline of 33.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	13	41
done	13	41

end0.0ms

sample9.8s

Algorithm

intervals

Results

7.6s	7944×	body	10240	exit
973.0ms	2282×	body	1280	valid
327.0ms	1588×	body	640	valid
152.0ms	151×	body	2560	valid
149.0ms	5442×	body	80	nan
115.0ms	2813×	body	80	valid
94.0ms	759×	body	320	valid
37.0ms	400×	body	160	valid
10.0ms	7×	body	5120	valid