Details

sample556.0ms

Algorithm

intervals

Results

416.0ms	237×	body	10240	exit
45.0ms	68×	body	1280	valid
19.0ms	58×	body	640	valid
16.0ms	8×	body	2560	valid
9.0ms	159×	body	80	nan
8.0ms	28×	body	320	valid
5.0ms	80×	body	80	valid
2.0ms	14×	body	160	valid

simplify18.0ms

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: 36.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
40.7b	(fmod (cosh c) (log1p a))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 14

Calls

2 calls:

1.0ms	(log1p a)
40.0ms	(fmod (cosh c) (log1p a))

series22.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(log1p a)
19.0ms	(fmod (cosh c) (log1p a))

simplify1.2s

Counts

20 → 20

Iterations

Iter	Nodes
done	5000
8	1989
7	639
6	270
5	123
4	56
3	41
2	33
1	27
0	19

prune188.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 34.8b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
40.6b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite4.0ms

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` `add-log-exp`
3×	`pow1/3`

Counts

4 → 40

Calls

4 calls:

1.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
2.0ms	(cbrt (log1p a))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series454.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt (log1p a))
167.0ms	(cbrt (log1p a))
145.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify5.1s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
5	4394
4	749
3	227
2	95
1	45
0	28

prune320.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 34.1b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
40.7b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

rewrite6.0ms

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` `add-log-exp`
3×	`pow1/3`

Counts

4 → 40

Calls

4 calls:

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

series498.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt (log1p a))
140.0ms	(cbrt (log1p a))
178.0ms	(cbrt (log1p a))
8.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

simplify5.9s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
4	3620
3	545
2	135
1	53
0	30

prune453.0ms

Pruning

29 alts after pruning (26 fresh and 3 done)

Merged error: 33.8b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
40.7b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))))

rewrite5.0ms

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` `add-log-exp`
3×	`pow1/3`

Counts

4 → 40

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 (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))))

series529.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt (log1p a))
151.0ms	(cbrt (log1p a))
198.0ms	(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 (log1p a)))) (cbrt (cbrt (log1p a))))))))

simplify2.0s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
3	737
2	154
1	58
0	32

prune299.0ms

Pruning

32 alts after pruning (29 fresh and 3 done)

Merged error: 33.7b

regimes1.5s

Accuracy

0% (1.6b remaining)

Error of 33.4b against oracle of 31.8b and baseline of 33.4b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample18.1s

Algorithm

intervals

Results

12.7s	7845×	body	10240	exit
2.1s	2261×	body	1280	valid
702.0ms	5108×	body	80	nan
622.0ms	1554×	body	640	valid
433.0ms	386×	body	160	valid
252.0ms	160×	body	2560	valid
232.0ms	2840×	body	80	valid
173.0ms	793×	body	320	valid
10.0ms	6×	body	5120	valid