Details

sample64.0ms

Algorithm

intervals

Results

36.0ms	78×	body	1280	valid
12.0ms	49×	body	640	valid
3.0ms	25×	body	320	valid
2.0ms	92×	body	80	valid
1.0ms	89×	body	80	nan
1.0ms	12×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.9b

localize5.0ms

Local error

Found 1 expressions with local error:

3.6b	(log (+ 1.0 x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
1×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

4.0ms

(log (+ 1.0 x))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(log (+ 1.0 x))

simplify1.4s

Counts

20 → 20

Iterations

Iter	Nodes
done	5000
3	1662
2	419
1	131
0	60

prune136.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune7.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (log (+ 1.0 x)))
3.6b	(log (+ 1.0 x))
3.6b	(log (+ 1.0 x))
3.6b	(log (+ 1.0 x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`log-prod`
8×	`add-sqr-sqrt` `pow1` `add-cube-cbrt`
7×	`add-exp-log`
6×	`log-div`
4×	`cbrt-prod` `expm1-log1p-u` `add-cbrt-cube` `log-pow` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`pow1/3`

Counts

4 → 65

Calls

4 calls:

2.0ms	(cbrt (log (+ 1.0 x)))
7.0ms	(log (+ 1.0 x))
7.0ms	(log (+ 1.0 x))
8.0ms	(log (+ 1.0 x))

series393.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt (log (+ 1.0 x)))
54.0ms	(log (+ 1.0 x))
53.0ms	(log (+ 1.0 x))
69.0ms	(log (+ 1.0 x))

simplify1.4s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
2	1138
1	323
0	127

prune418.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(expm1 (cbrt (log (+ 1.0 x))))
3.6b	(log (+ 1.0 x))
3.6b	(log (+ 1.0 x))
3.6b	(log (+ 1.0 x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`log-prod`
7×	`add-sqr-sqrt` `pow1` `add-exp-log` `add-cube-cbrt`
6×	`log-div`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `log-pow` `flip-+` `distribute-lft-out`
1×	`expm1-log1p` `expm1-udef`

Counts

4 → 62

Calls

4 calls:

1.0ms	(expm1 (cbrt (log (+ 1.0 x))))
4.0ms	(log (+ 1.0 x))
4.0ms	(log (+ 1.0 x))
4.0ms	(log (+ 1.0 x))

series548.0ms

Counts

4 → 12

Calls

4 calls:

386.0ms	(expm1 (cbrt (log (+ 1.0 x))))
55.0ms	(log (+ 1.0 x))
52.0ms	(log (+ 1.0 x))
54.0ms	(log (+ 1.0 x))

simplify1.8s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	1605
1	420
0	160

prune512.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes129.0ms

Accuracy

97.7% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 21.3b

bsearch2.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	13

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	2260×	body	1280	valid
538.0ms	1676×	body	640	valid
130.0ms	856×	body	320	valid
100.0ms	2570×	body	80	nan
90.0ms	2779×	body	80	valid
66.0ms	429×	body	160	valid