Details

sample756.0ms

Algorithm

intervals

Results

588.0ms	288×	body	10240	exit
72.0ms	79×	body	1280	valid
28.0ms	51×	body	640	valid
18.0ms	208×	body	80	nan
9.0ms	82×	body	80	valid
8.0ms	26×	body	320	valid
3.0ms	2×	body	2560	valid
3.0ms	15×	body	160	valid
1.0ms	1×	body	5120	valid

simplify13.0ms

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.3b

localize52.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
40.0b	(fmod (cosh c) (log1p a))

rewrite5.0ms

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

series17.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(log1p a)
14.0ms	(fmod (cosh c) (log1p a))

simplify1.3s

Counts

22 → 22

Iterations

Iter	Nodes
done	2003
9	2003
8	799
7	343
6	181
5	89
4	58
3	43
2	35
1	29
0	21

prune297.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 34.3b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
40.0b	(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))))

series364.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(cbrt (log1p a))
122.0ms	(cbrt (log1p a))
122.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify1.0s

Counts

56 → 56

Iterations

Iter	Nodes
done	2025
6	2025
5	896
4	394
3	148
2	80
1	47
0	30

prune739.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 33.6b

localize70.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
40.0b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (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 (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

series399.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (log1p a))
129.0ms	(cbrt (log1p a))
136.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

simplify1.2s

Counts

56 → 56

Iterations

Iter	Nodes
done	2021
5	2021
4	862
3	265
2	108
1	55
0	32

prune1.0s

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 33.4b

localize93.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
40.0b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`cbrt-prod`
6×	`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 → 42

Calls

4 calls:

1.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
8.0ms	(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
1.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

series490.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (log1p a))
151.0ms	(cbrt (log1p a))
174.0ms	(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
7.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

simplify1.9s

Counts

54 → 54

Iterations

Iter	Nodes
done	2000
5	2000
4	1426
3	394
2	158
1	81
0	47

prune976.0ms

Pruning

42 alts after pruning (41 fresh and 1 done)

Merged error: 32.9b

regimes1.8s

Accuracy

0% (1.9b remaining)

Error of 33.9b against oracle of 32.0b and baseline of 33.9b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	20
1	20
0	16

end0.0ms

sample22.6s

Algorithm

intervals

Results

16.7s	7857×	body	10240	exit
2.6s	2246×	body	1280	valid
1.1s	1643×	body	640	valid
530.0ms	5395×	body	80	nan
392.0ms	2754×	body	80	valid
302.0ms	777×	body	320	valid
280.0ms	135×	body	2560	valid
114.0ms	438×	body	160	valid
16.0ms	7×	body	5120	valid