Details

sample728.0ms

Algorithm

intervals

Results

516.0ms	258×	body	10240	exit
68.0ms	74×	body	1280	valid
64.0ms	55×	body	640	valid
16.0ms	8×	body	2560	valid
14.0ms	165×	body	80	nan
10.0ms	28×	body	320	valid
9.0ms	77×	body	80	valid
3.0ms	14×	body	160	valid

simplify24.0ms

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: 36.5b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
41.5b	(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

2 → 16

Calls

2 calls:

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

series30.0ms

Counts

2 → 6

Calls

2 calls:

1.0ms	(log1p a)
28.0ms	(fmod (cosh c) (log1p a))

simplify2.3s

Counts

22 → 22

Iterations

Iter	Nodes
done	5002
9	2535
8	799
7	343
6	181
5	89
4	58
3	43
2	35
1	29
0	21

prune118.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 35.3b

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))
41.4b	(fmod (cosh c) (* (* (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×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow1/3`

Counts

4 → 44

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))))

series414.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (log1p a))
126.0ms	(cbrt (log1p a))
138.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify3.2s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
6	4306
5	896
4	394
3	148
2	80
1	47
0	30

prune425.0ms

Pruning

23 alts after pruning (21 fresh and 2 done)

Merged error: 34.5b

localize42.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (cbrt (log1p a)))
0.7b	(cbrt (cbrt (log1p a)))
0.7b	(cbrt (cbrt (log1p a)))
41.5b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow1/3`

Counts

4 → 53

Calls

4 calls:

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

series430.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (cbrt (log1p a)))
152.0ms	(cbrt (cbrt (log1p a)))
142.0ms	(cbrt (cbrt (log1p a)))
6.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

simplify3.6s

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
7	3474
6	1142
5	510
4	266
3	166
2	86
1	58
0	39

prune558.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 34.1b

localize68.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (cbrt (log1p a)))
0.7b	(cbrt (cbrt (log1p a)))
0.7b	(cbrt (cbrt (log1p a)))
41.4b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (* (* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a))))))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow1/3`

Counts

4 → 53

Calls

4 calls:

2.0ms	(cbrt (cbrt (log1p a)))
2.0ms	(cbrt (cbrt (log1p a)))
2.0ms	(cbrt (cbrt (log1p a)))
1.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (* (* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a))))))))

series438.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt (cbrt (log1p a)))
130.0ms	(cbrt (cbrt (log1p a)))
166.0ms	(cbrt (cbrt (log1p a)))
7.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (* (* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a))))))))

simplify4.3s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
5	2543
4	893
3	359
2	126
1	66
0	41

prune367.0ms

Pruning

45 alts after pruning (44 fresh and 1 done)

Merged error: 33.9b

regimes1.8s

Accuracy

0% (2.0b remaining)

Error of 34.2b against oracle of 32.2b and baseline of 34.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	20
1	20
0	16

end0.0ms

sample23.0s

Algorithm

intervals

Results

17.0s	7786×	body	10240	exit
2.5s	2381×	body	1280	valid
1.1s	1581×	body	640	valid
599.0ms	5231×	body	80	nan
417.0ms	2710×	body	80	valid
334.0ms	159×	body	2560	valid
333.0ms	771×	body	320	valid
103.0ms	388×	body	160	valid
25.0ms	10×	body	5120	valid