Details

sample60.0ms

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

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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×	`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:

4.0ms

(log (+ 1.0 x))

series44.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(log (+ 1.0 x))

simplify41.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	131	99
1	363	89
2	1292	86
3	5002	81

prune49.0ms

Filtered

20 candidates to 15 candidates (75.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	16	4	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	5	21

Merged error: 0.1b

Counts

21 → 5

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

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

localize8.0ms

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))

rewrite20.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 98

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))

series341.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x))))
42.0ms	(log (+ 1.0 x))
47.0ms	(log (+ 1.0 x))
46.0ms	(log (+ 1.0 x))

simplify58.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	458	860
1	1768	793
2	5001	696

prune237.0ms

Filtered

110 candidates to 75 candidates (68.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	108	7	115

Merged error: 0.1b

Counts

115 → 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))

rewrite18.0ms

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×	`expm1-log1p-u` `cbrt-div` `flip3-+` `rem-log-exp` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`pow1/3`

Counts

4 → 76

Calls

4 calls:

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

series331.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(log (cbrt (+ 1.0 x)))
118.0ms	(log (cbrt (+ 1.0 x)))
43.0ms	(log (+ 1.0 x))
46.0ms	(log (+ 1.0 x))

simplify61.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	225	508
1	598	460
2	2159	450
3	5001	440

prune279.0ms

Filtered

88 candidates to 70 candidates (79.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	89	6	95

Merged error: 0.1b

Counts

95 → 6

regimes116.0ms

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	18	10
1	18	10

end0.0ms

sample1.7s

Algorithm

intervals

Results

998.0ms	2307×	body	1280	valid
336.0ms	1651×	body	640	valid
88.0ms	824×	body	320	valid
58.0ms	2796×	body	80	valid
35.0ms	2610×	body	80	nan
31.0ms	422×	body	160	valid