Details

sample683.0ms

Algorithm

intervals

Results

481.0ms	236×	body	10240	exit
96.0ms	77×	body	1280	valid
25.0ms	47×	body	640	valid
15.0ms	173×	body	80	nan
14.0ms	7×	body	2560	valid
10.0ms	30×	body	320	valid
9.0ms	76×	body	80	valid
4.0ms	18×	body	160	valid
1.0ms	1×	body	5120	valid

simplify25.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	16
3	16
2	14
1	11
0	5

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.6b

localize50.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

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))

simplify1.1s

Counts

22 → 22

Iterations

Iter	Nodes
9	2895
8	921
7	371
6	174
5	97
4	58
3	43
2	35
1	29
0	21

prune343.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 35.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (log1p a))
0.7b	(cbrt (log1p a))
0.7b	(cbrt (log1p a))
41.6b	(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))))

series865.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(cbrt (log1p a))
579.0ms	(cbrt (log1p a))
162.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify6.4s

Counts

56 → 56

Iterations

Iter	Nodes
6	7597
5	1309
4	356
3	144
2	80
1	47
0	30

prune801.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 34.9b

localize35.0ms

Local error

Found 4 expressions with local error:

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

series358.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(cbrt (log1p a))
116.0ms	(cbrt (log1p a))
124.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

simplify1.3s

Counts

56 → 56

Iterations

Iter	Nodes
5	2892
4	736
3	247
2	113
1	57
0	33

prune1.0s

Pruning

40 alts after pruning (39 fresh and 1 done)

Merged error: 34.5b

localize52.0ms

Local error

Found 4 expressions with local error:

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

series322.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(cbrt (log1p a))
105.0ms	(cbrt (log1p a))
110.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))) (cbrt (log1p a))))

simplify2.0s

Counts

56 → 56

Iterations

Iter	Nodes
5	5567
4	1063
3	295
2	116
1	60
0	35

prune637.0ms

Pruning

45 alts after pruning (44 fresh and 1 done)

Merged error: 34.4b

regimes1.2s

Accuracy

0% (1.8b remaining)

Error of 34.2b against oracle of 32.4b and baseline of 34.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	19
1	19
0	15

end0.0ms

sample15.5s

Algorithm

intervals

Results

11.4s	7866×	body	10240	exit
1.9s	2323×	body	1280	valid
645.0ms	1583×	body	640	valid
394.0ms	5224×	body	80	nan
278.0ms	161×	body	2560	valid
233.0ms	2717×	body	80	valid
209.0ms	802×	body	320	valid
88.0ms	406×	body	160	valid
13.0ms	8×	body	5120	valid