Details

sample895.0ms

Algorithm

intervals

Results

560.0ms	230×	body	10240	exit
79.0ms	70×	body	1280	valid
65.0ms	54×	body	640	valid
15.0ms	9×	body	2560	valid
8.0ms	85×	body	80	valid
8.0ms	136×	body	80	nan
6.0ms	27×	body	320	valid
2.0ms	11×	body	160	valid

simplify91.0ms

Counts

1 → 1

Iterations

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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.8b

localize16.0ms

Local error

Found 1 expressions with local error:

39.6b

(fmod (cosh c) (log1p a))

rewrite3.0ms

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:

1.0ms

(fmod (cosh c) (log1p a))

series24.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(fmod (cosh c) (log1p a))

simplify10.1s

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

prune200.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 34.8b

localize33.0ms

Local error

Found 3 expressions with local error:

0.6b	(exp (log (fmod (cosh c) (log1p a))))
0.9b	(log (fmod (cosh c) (log1p a)))
39.6b	(fmod (cosh c) (log1p a))

rewrite22.0ms

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:

11.0ms	(exp (log (fmod (cosh c) (log1p a))))
6.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

series122.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(exp (log (fmod (cosh c) (log1p a))))
81.0ms	(log (fmod (cosh c) (log1p a)))
20.0ms	(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

prune617.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 34.5b

localize105.0ms

Local error

Found 4 expressions with local error:

0.9b	(log (fmod (cosh c) (log1p a)))
39.6b	(fmod (cosh c) (log1p a))
39.6b	(fmod (cosh c) (log1p a))
39.6b	(fmod (cosh c) (log1p a))

rewrite11.0ms

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:

4.0ms	(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))

series113.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(log (fmod (cosh c) (log1p a)))
11.0ms	(fmod (cosh c) (log1p a))
18.0ms	(fmod (cosh c) (log1p a))
19.0ms	(fmod (cosh c) (log1p a))

simplify6.4s

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

prune944.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 34.5b

localize177.0ms

Local error

Found 4 expressions with local error:

39.6b	(fmod (cosh c) (log1p a))
39.6b	(fmod (cosh c) (log1p a))
39.6b	(fmod (cosh c) (log1p a))
39.6b	(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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

4 → 40

Calls

4 calls:

1.0ms	(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))

series65.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(fmod (cosh c) (log1p a))
19.0ms	(fmod (cosh c) (log1p a))
16.0ms	(fmod (cosh c) (log1p a))
10.0ms	(fmod (cosh c) (log1p a))

simplify9.9s

Counts

52 → 52

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

prune741.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 34.5b

regimes1.3s

Accuracy

0% (0.2b remaining)

Error of 33.6b against oracle of 33.4b and baseline of 33.6b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample18.7s

Algorithm

intervals

Results

13.8s	8103×	body	10240	exit
1.6s	2273×	body	1280	valid
648.0ms	1541×	body	640	valid
463.0ms	399×	body	160	valid
366.0ms	5409×	body	80	nan
345.0ms	2851×	body	80	valid
278.0ms	147×	body	2560	valid
272.0ms	785×	body	320	valid
9.0ms	4×	body	5120	valid