Details

sample522.0ms

Algorithm

intervals

Results

382.0ms	197×	body	10240	exit
62.0ms	75×	body	1280	valid
19.0ms	46×	body	640	valid
10.0ms	167×	body	80	nan
7.0ms	86×	body	80	valid
7.0ms	29×	body	320	valid
3.0ms	18×	body	160	valid
3.0ms	2×	body	2560	valid

simplify12.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.3b

localize22.0ms

Local error

Found 1 expressions with local error:

38.7b

(fmod (cosh c) (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 7

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(fmod (cosh c) (log1p a))

simplify3.7s

Counts

10 → 10

Iterations

Iter	Nodes
done	5000
9	1269
8	416
7	172
6	91
5	57
4	38
3	30
2	24
1	19
0	12

prune84.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 34.3b

localize31.0ms

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)))
38.7b	(fmod (cosh c) (log1p a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 34

Calls

3 calls:

5.0ms	(exp (log (fmod (cosh c) (log1p a))))
4.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series45.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
36.0ms	(log (fmod (cosh c) (log1p a)))
6.0ms	(fmod (cosh c) (log1p a))

simplify3.7s

Counts

43 → 43

Iterations

Iter	Nodes
done	5002
8	4630
7	1494
6	662
5	356
4	193
3	121
2	84
1	60
0	38

prune317.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 34.3b

localize35.0ms

Local error

Found 3 expressions with local error:

0.7b	(pow E (log (fmod (cosh c) (log1p a))))
0.8b	(log (fmod (cosh c) (log1p a)))
38.7b	(fmod (cosh c) (log1p a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `log-prod`
5×	`add-exp-log`
4×	`pow-unpow`
3×	`unpow-prod-up` `unpow-prod-down` `add-cbrt-cube` `add-log-exp`
2×	`pow-exp` `log-pow`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `rem-log-exp` `sqr-pow`

Counts

3 → 41

Calls

3 calls:

5.0ms	(pow E (log (fmod (cosh c) (log1p a))))
2.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series115.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(pow E (log (fmod (cosh c) (log1p a))))
37.0ms	(log (fmod (cosh c) (log1p a)))
5.0ms	(fmod (cosh c) (log1p a))

simplify2.2s

Counts

50 → 50

Iterations

Iter	Nodes
done	5001
4	1811
3	611
2	233
1	117
0	53

prune364.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 34.3b

localize65.0ms

Local error

Found 4 expressions with local error:

0.8b	(log (fmod (cosh c) (log1p a)))
38.7b	(fmod (cosh c) (log1p a))
38.7b	(fmod (cosh c) (log1p a))
38.7b	(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 33

Calls

4 calls:

2.0ms	(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))

series59.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(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))

simplify3.0s

Counts

45 → 45

Iterations

Iter	Nodes
done	5000
9	3005
8	926
7	384
6	192
5	117
4	80
3	60
2	48
1	38
0	24

prune299.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 34.3b

regimes812.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
2	16
1	14
0	11

end0.0ms

sample18.5s

Algorithm

intervals

Results

13.3s	7860×	body	10240	exit
1.7s	2269×	body	1280	valid
1.0s	1581×	body	640	valid
1.0s	5404×	body	80	nan
296.0ms	2821×	body	80	valid
251.0ms	135×	body	2560	valid
188.0ms	810×	body	320	valid
63.0ms	380×	body	160	valid
8.0ms	4×	body	5120	valid