Details

sample1.0s

Algorithm

intervals

Results

801.0ms	300×	body	10240	exit
74.0ms	71×	body	1280	valid
29.0ms	53×	body	640	valid
23.0ms	201×	body	80	nan
16.0ms	6×	body	2560	valid
11.0ms	86×	body	80	valid
9.0ms	25×	body	320	valid
5.0ms	2×	body	5120	valid
3.0ms	13×	body	160	valid

simplify109.0ms

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.9b

localize48.0ms

Local error

Found 1 expressions with local error:

39.5b

(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

2.0ms

(fmod (cosh c) (log1p a))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(fmod (cosh c) (log1p a))

simplify10.6s

Counts

13 → 13

Iterations

Iter	Nodes
done	5001
10	3523
9	1173
8	720
7	383
6	88
5	53
4	41
3	33
2	27
1	22
0	15

prune175.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 34.9b

localize59.0ms

Local error

Found 3 expressions with local error:

0.6b	(exp (log (fmod (cosh c) (log1p a))))
0.7b	(log (fmod (cosh c) (log1p a)))
39.5b	(fmod (cosh c) (log1p a))

rewrite15.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `exp-sum` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 43

Calls

3 calls:

8.0ms	(exp (log (fmod (cosh c) (log1p a))))
5.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series96.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(exp (log (fmod (cosh c) (log1p a))))
70.0ms	(log (fmod (cosh c) (log1p a)))
14.0ms	(fmod (cosh c) (log1p a))

simplify8.1s

Counts

52 → 52

Iterations

Iter	Nodes
done	5010
8	4218
7	1524
6	672
5	361
4	204
3	139
2	95
1	71
0	47

prune661.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 34.8b

localize110.0ms

Local error

Found 4 expressions with local error:

0.7b	(log (fmod (cosh c) (log1p a)))
39.5b	(fmod (cosh c) (log1p a))
39.5b	(fmod (cosh c) (log1p a))
39.5b	(fmod (cosh c) (log1p a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-prod`
1×	`rem-log-exp` `log-pow`

Counts

4 → 45

Calls

4 calls:

3.0ms	(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))

series96.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(log (fmod (cosh c) (log1p a)))
18.0ms	(fmod (cosh c) (log1p a))
10.0ms	(fmod (cosh c) (log1p a))
11.0ms	(fmod (cosh c) (log1p a))

simplify6.8s

Counts

57 → 57

Iterations

Iter	Nodes
done	5012
9	3000
8	957
7	389
6	197
5	123
4	87
3	66
2	54
1	44
0	30

prune979.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 34.8b

localize126.0ms

Local error

Found 4 expressions with local error:

0.7b	(log (fmod (cosh c) (log1p a)))
0.7b	(log (fmod (cosh c) (log1p a)))
39.5b	(fmod (cosh c) (log1p a))
39.5b	(fmod (cosh c) (log1p a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `pow1` `log-prod` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-log-exp` `log-pow`

Counts

4 → 50

Calls

4 calls:

4.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))

series184.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(log (fmod (cosh c) (log1p a)))
79.0ms	(log (fmod (cosh c) (log1p a)))
20.0ms	(fmod (cosh c) (log1p a))
12.0ms	(fmod (cosh c) (log1p a))

simplify7.0s

Counts

62 → 62

Iterations

Iter	Nodes
done	5012
9	3000
8	957
7	389
6	197
5	123
4	87
3	66
2	54
1	44
0	30

prune781.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 34.8b

regimes1.7s

Accuracy

0% (0.2b remaining)

Error of 33.9b against oracle of 33.6b and baseline of 33.9b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	16
1	16
0	14

end0.0ms

sample22.2s

Algorithm

intervals

Results

16.1s	8232×	body	10240	exit
2.5s	2262×	body	1280	valid
784.0ms	1580×	body	640	valid
698.0ms	772×	body	320	valid
597.0ms	5431×	body	80	nan
276.0ms	157×	body	2560	valid
273.0ms	2819×	body	80	valid
86.0ms	401×	body	160	valid
26.0ms	9×	body	5120	valid