Details

sample59.0ms

Algorithm

intervals

Results

32.0ms	70×	body	1280	valid
13.0ms	61×	body	640	valid
3.0ms	26×	body	320	valid
2.0ms	87×	body	80	valid
1.0ms	84×	body	80	nan
1.0ms	12×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 40.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

4.3b	(log (+ 1.0 x))

rewrite4.0ms

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×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(log (+ 1.0 x))

simplify44.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	122	95
1	327	86
2	1161	81
3	5002	78

prune40.0ms

Filtered

18 candidates to 13 candidates (72.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	5	19

Merged error: 0.1b

Counts

19 → 5

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune6.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	1	1
Total	5	5

Merged error: 0.1b

Counts

5 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x))))
4.3b	(log (+ 1.0 x))
4.3b	(log (+ 1.0 x))
4.3b	(log (+ 1.0 x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
23×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`pow1`
15×	`add-cube-cbrt`
12×	`log-prod`
9×	`add-exp-log` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`log-div` `pow1/3`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 90

Calls

4 calls:

6.0ms	(* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x))))
3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))

series326.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x))))
40.0ms	(log (+ 1.0 x))
45.0ms	(log (+ 1.0 x))
41.0ms	(log (+ 1.0 x))

simplify55.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	438	840
1	1662	774
2	5002	664

prune205.0ms

Filtered

102 candidates to 67 candidates (65.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	100	7	107

Merged error: 0.1b

Counts

107 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

3.7b	(log (cbrt (+ 1.0 x)))
3.7b	(log (cbrt (+ 1.0 x)))
4.3b	(log (+ 1.0 x))
4.3b	(log (+ 1.0 x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

22×	`log-prod`
18×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1` `add-exp-log` `cbrt-prod` `log-div`
6×	`log-pow`
4×	`cbrt-div` `flip3-+` `rem-log-exp` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`pow1/3`

Counts

4 → 68

Calls

4 calls:

4.0ms	(log (cbrt (+ 1.0 x)))
3.0ms	(log (cbrt (+ 1.0 x)))
3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))

series316.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(log (cbrt (+ 1.0 x)))
114.0ms	(log (cbrt (+ 1.0 x)))
40.0ms	(log (+ 1.0 x))
44.0ms	(log (+ 1.0 x))

simplify60.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	212	486
1	536	446
2	1911	426
3	5001	418

prune240.0ms

Filtered

80 candidates to 62 candidates (77.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	81	6	87

Merged error: 0.1b

Counts

87 → 6

regimes119.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.5b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s	2307×	body	1280	valid
341.0ms	1651×	body	640	valid
85.0ms	824×	body	320	valid
56.0ms	2796×	body	80	valid
33.0ms	2610×	body	80	nan
25.0ms	422×	body	160	valid