Details

sample716.0ms

Algorithm

intervals

Results

530.0ms	225×	body	10240	exit
59.0ms	59×	body	1280	valid
37.0ms	59×	body	640	valid
15.0ms	147×	body	80	nan
13.0ms	5×	body	2560	valid
13.0ms	32×	body	320	valid
12.0ms	88×	body	80	valid
4.0ms	1×	body	5120	valid
4.0ms	12×	body	160	valid

simplify18.0ms

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

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite2.0ms

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))

series26.0ms

Counts

2 → 6

Calls

2 calls:

1.0ms	(log1p a)
24.0ms	(fmod (cosh c) (log1p a))

simplify1.7s

Counts

22 → 22

Iterations

Iter	Nodes
9	2962
8	935
7	372
6	172
5	95
4	56
3	41
2	35
1	29
0	21

prune283.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 33.6b

localize50.0ms

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))))

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` `insert-posit16` `add-log-exp`
3×	`pow1/3`

Counts

4 → 44

Calls

4 calls:

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

series455.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (log1p a))
156.0ms	(cbrt (log1p a))
163.0ms	(cbrt (log1p a))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify7.9s

Counts

56 → 56

Iterations

Iter	Nodes
6	8135
5	1345
4	359
3	143
2	78
1	45
0	30

prune716.0ms

Pruning

24 alts after pruning (23 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))))

rewrite7.0ms

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))
5.0ms	(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))))

series378.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (log1p a))
133.0ms	(cbrt (log1p a))
108.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

simplify1.4s

Counts

56 → 56

Iterations

Iter	Nodes
5	3083
4	635
3	217
2	107
1	55
0	33

prune876.0ms

Pruning

40 alts after pruning (39 fresh and 1 done)

Merged error: 32.6b

localize81.0ms

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))))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

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

series292.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (log1p a))
142.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))
3.0ms	(fmod (cosh c) (* (* (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

simplify1.4s

Counts

52 → 52

Iterations

Iter	Nodes
5	3083
4	635
3	217
2	107
1	55
0	33

prune833.0ms

Pruning

46 alts after pruning (44 fresh and 2 done)

Merged error: 32.4b

regimes1.7s

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

sample16.6s

Algorithm

intervals

Results

12.1s	7839×	body	10240	exit
2.1s	2293×	body	1280	valid
692.0ms	1586×	body	640	valid
469.0ms	5241×	body	80	nan
298.0ms	2817×	body	80	valid
236.0ms	763×	body	320	valid
211.0ms	136×	body	2560	valid
118.0ms	403×	body	160	valid
6.0ms	2×	body	5120	valid