Details

sample547.0ms

Algorithm

intervals

Results

375.0ms	235×	body	10240	exit
50.0ms	178×	body	80	nan
50.0ms	71×	body	1280	valid
20.0ms	52×	body	640	valid
7.0ms	94×	body	80	valid
5.0ms	24×	body	320	valid
4.0ms	3×	body	2560	valid
2.0ms	12×	body	160	valid

simplify12.0ms

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

prune50.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize21.0ms

Local error

Found 1 expressions with local error:

37.8b

(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))

series16.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(fmod (cosh c) (log1p a))

simplify1.6s

Counts

12 → 12

Iterations

Useful iterations: 2 (6.0ms)

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

prune81.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 33.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.5b	(log (fmod (cosh c) (log1p a)))
0.6b	(exp (log (fmod (cosh c) (log1p a))))
37.8b	(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×	`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:

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

series44.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify2.8s

Counts

49 → 49

Iterations

Useful iterations: 4 (94.0ms)

Iter	Nodes	Cost
0	44	426
1	69	385
2	113	339
3	177	339
4	304	333
5	476	333
6	1093	333
7	4066	333
done	5000	333

prune216.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 33.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(exp (* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a))))))
37.8b	(fmod (cosh c) (log1p a))
37.8b	(fmod (cosh c) (log1p a))
37.8b	(fmod (cosh c) (log1p a))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 39

Calls

4 calls:

14.0ms	(exp (* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (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))

series15.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify1.9s

Counts

51 → 51

Iterations

Useful iterations: 4 (168.0ms)

Iter	Nodes	Cost
0	28	592
1	42	589
2	76	372
3	222	342
4	1097	324
done	5000	324

prune262.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 33.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a)))))) (cbrt (log (fmod (cosh c) (log1p a)))))
37.8b	(fmod (cosh c) (log1p a))
37.8b	(fmod (cosh c) (log1p a))
37.8b	(fmod (cosh c) (log1p a))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

18.0ms	(pow (exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a)))))) (cbrt (log (fmod (cosh c) (log1p a)))))
1.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))

series263.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(pow (exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a)))))) (cbrt (log (fmod (cosh c) (log1p a)))))
6.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))

simplify6.2s

Counts

64 → 64

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	55	1039
1	130	994
2	463	897
3	3350	888
done	5002	888

prune355.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 33.1b

regimes576.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	11	24
done	11	24

end0.0ms

sample19.8s

Algorithm

intervals

Results

14.7s	7940×	body	10240	exit
1.9s	2243×	body	1280	valid
804.0ms	1565×	body	640	valid
458.0ms	5216×	body	80	nan
347.0ms	2803×	body	80	valid
256.0ms	149×	body	2560	valid
199.0ms	811×	body	320	valid
153.0ms	420×	body	160	valid
26.0ms	9×	body	5120	valid