Details

sample610.0ms

Algorithm

intervals

Results

453.0ms	225×	body	10240	exit
52.0ms	59×	body	1280	valid
31.0ms	59×	body	640	valid
13.0ms	147×	body	80	nan
10.0ms	88×	body	80	valid
10.0ms	32×	body	320	valid
10.0ms	5×	body	2560	valid
4.0ms	1×	body	5120	valid
2.0ms	12×	body	160	valid

simplify20.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	14
2	14
1	11
0	5

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.7b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
39.5b	(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 22

Calls

2 calls:

1.0ms	(log1p a)
1.0ms	(fmod (cosh c) (log1p a))

series73.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(log1p a)
40.0ms	(fmod (cosh c) (log1p a))

simplify2.6s

Counts

28 → 28

Iterations

Iter	Nodes
5	3178
4	1238
3	444
2	195
1	99
0	50

prune392.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 33.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
39.5b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series213.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt (log1p a))
63.0ms	(cbrt (log1p a))
55.0ms	(cbrt (log1p a))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify6.0s

Counts

64 → 64

Iterations

Iter	Nodes
4	7640
3	1895
2	585
1	215
0	91

prune845.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 33.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
39.5b	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
0.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

series189.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(cbrt (log1p a))
59.0ms	(cbrt (log1p a))
51.0ms	(cbrt (log1p a))
4.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

simplify4.8s

Counts

64 → 64

Iterations

Iter	Nodes
4	7818
3	1971
2	609
1	224
0	94

prune983.0ms

Pruning

41 alts after pruning (40 fresh and 1 done)

Merged error: 32.6b

localize72.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
39.5b	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))
39.5b	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3`

Counts

4 → 48

Calls

4 calls:

1.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
0.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))
1.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

series131.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(cbrt (log1p a))
61.0ms	(cbrt (log1p a))
5.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))
6.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

simplify3.9s

Counts

60 → 60

Iterations

Iter	Nodes
4	7818
3	1971
2	609
1	224
0	94

prune752.0ms

Pruning

47 alts after pruning (45 fresh and 2 done)

Merged error: 32.4b

regimes1.2s

Accuracy

0% (1.9b remaining)

Error of 33.5b against oracle of 31.6b and baseline of 33.5b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	25
1	25
0	19

end0.0ms

sample15.4s

Algorithm

intervals

Results

11.1s	7839×	body	10240	exit
1.8s	2293×	body	1280	valid
662.0ms	1586×	body	640	valid
557.0ms	2817×	body	80	valid
374.0ms	5241×	body	80	nan
202.0ms	763×	body	320	valid
179.0ms	136×	body	2560	valid
87.0ms	403×	body	160	valid
4.0ms	2×	body	5120	valid