Details

sample123.0ms

Algorithm

intervals

Results

59.0ms	68×	body	1280	valid
23.0ms	56×	body	640	valid
10.0ms	84×	body	80	valid
7.0ms	34×	body	320	valid
3.0ms	89×	body	80	nan
2.0ms	14×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	5	4
done	5	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.6b

localize11.0ms

Local error

Found 1 expressions with local error:

4.1b	(log (+ 1.0 x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 17

Calls

1 calls:

10.0ms

(log (+ 1.0 x))

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

(log (+ 1.0 x))

simplify2.0s

Counts

20 → 20

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	60	188
1	133	177
2	429	159
3	1678	158
done	5000	154

prune128.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune6.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (log (+ 1.0 x)))
4.1b	(log (+ 1.0 x))
4.1b	(log (+ 1.0 x))
4.1b	(log (+ 1.0 x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`log-prod`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
7×	`add-exp-log`
6×	`log-div`
4×	`cbrt-prod` `expm1-log1p-u` `log-pow` `add-cbrt-cube` `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)))
9.0ms	(log (+ 1.0 x))
10.0ms	(log (+ 1.0 x))
10.0ms	(log (+ 1.0 x))

series542.0ms

Counts

4 → 12

Calls

4 calls:

281.0ms	(cbrt (log (+ 1.0 x)))
85.0ms	(log (+ 1.0 x))
84.0ms	(log (+ 1.0 x))
92.0ms	(log (+ 1.0 x))

simplify1.0s

Counts

77 → 77

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	127	866
1	324	811
2	1113	731
done	5000	683

prune520.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

4.1b	(log (+ 1.0 x))
4.1b	(log (+ 1.0 x))
4.1b	(log (+ 1.0 x))
4.1b	(log (+ 1.0 x))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

9.0ms	(log (+ 1.0 x))
16.0ms	(log (+ 1.0 x))
9.0ms	(log (+ 1.0 x))
10.0ms	(log (+ 1.0 x))

series311.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(log (+ 1.0 x))
74.0ms	(log (+ 1.0 x))
81.0ms	(log (+ 1.0 x))
77.0ms	(log (+ 1.0 x))

simplify2.1s

Counts

80 → 80

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	60	752
1	133	708
2	429	636
3	1678	632
done	5000	616

prune641.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes285.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 22.0b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	24
1	16	24
done	16	24

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.0s	2241×	body	1280	valid
723.0ms	1653×	body	640	valid
181.0ms	846×	body	320	valid
126.0ms	2696×	body	80	nan
126.0ms	2857×	body	80	valid
49.0ms	403×	body	160	valid