Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	3
1	11	3
2	11	3

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: 17.7b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ g (* 2.0 a))
17.1b	(cbrt (/ g (* 2.0 a)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`cbrt-div`
4×	`associate-/r*`
2×	`frac-2neg` `clear-num` `*-commutative` `div-inv`
1×	`cbrt-prod` `pow1/3`

Counts

2 → 12

Calls

2 calls:

3.0ms	(/ g (* 2.0 a))
3.0ms	(cbrt (/ g (* 2.0 a)))

series116.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(/ g (* 2.0 a))
97.0ms	(cbrt (/ g (* 2.0 a)))

simplify159.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 4 (34.0ms)

Iter	Nodes	Cost
0	85	62
1	149	60
2	351	60
3	977	58
4	4849	51
5	5001	51

prune43.0ms

Filtered

18 candidates to 14 candidates (77.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	12	6	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	7	19

Merged error: 0.2b

Counts

19 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.4b	(/ (cbrt (/ g 2.0)) (cbrt a))
0.5b	(cbrt (/ g 2.0))
0.6b	(cbrt a)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-div`
3×	`frac-2neg` `clear-num` `div-inv` `associate-/l/`
2×	`cbrt-prod` `pow1/3`
1×	`cbrt-undiv` `associate-/l*`

Counts

3 → 14

Calls

3 calls:

3.0ms	(/ (cbrt (/ g 2.0)) (cbrt a))
2.0ms	(cbrt (/ g 2.0))
1.0ms	(cbrt a)

series498.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(/ (cbrt (/ g 2.0)) (cbrt a))
209.0ms	(cbrt (/ g 2.0))
177.0ms	(cbrt a)

simplify60.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 4 (57.0ms)

Iter	Nodes	Cost
0	121	84
1	239	82
2	643	82
3	2075	80
4	5002	79

prune64.0ms

Filtered

23 candidates to 20 candidates (87.0%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	18	5	23
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	19	11	30

Merged error: 0.1b

Counts

30 → 11

localize7.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (cbrt (/ 2.0 g)))
0.4b	(/ (/ 1 (cbrt (/ 2.0 g))) (cbrt a))
0.6b	(cbrt (/ 2.0 g))
0.6b	(cbrt a)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-div`
6×	`frac-2neg` `clear-num` `associate-/r/` `div-inv`
4×	`associate-/l/` `associate-/l*`
3×	`cbrt-prod` `pow1/3`
2×	`associate-/r*`
1×	`pow-flip` `inv-pow`

Counts

4 → 26

Calls

4 calls:

3.0ms	(/ 1 (cbrt (/ 2.0 g)))
5.0ms	(/ (/ 1 (cbrt (/ 2.0 g))) (cbrt a))
5.0ms	(cbrt (/ 2.0 g))
1.0ms	(cbrt a)

series751.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(/ 1 (cbrt (/ 2.0 g)))
138.0ms	(/ (/ 1 (cbrt (/ 2.0 g))) (cbrt a))
200.0ms	(cbrt (/ 2.0 g))
180.0ms	(cbrt a)

simplify102.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	146	136
1	337	129
2	1073	129
3	4507	124
4	5001	124

prune97.0ms

Filtered

38 candidates to 29 candidates (76.3%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	34	4	38
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	35	14	49

Merged error: 0.0b

Counts

49 → 14

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (cbrt (/ 2.0 g)))
0.3b	(* (/ 1 (cbrt (/ 2.0 g))) (/ 1 (cbrt a)))
0.6b	(cbrt (/ 2.0 g))
0.6b	(cbrt a)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

14×	`clear-num`
13×	`frac-2neg`
12×	`frac-times`
9×	`cbrt-div` `div-inv`
6×	`cbrt-prod` `associate-/r/`
5×	`pow1/3` `associate-/r*`
4×	`associate-l` `associate-*l/`
3×	`pow-flip` `associate-*r/` `inv-pow`
2×	`pow-prod-down` `un-div-inv`
1×	`associate-r` `*-commutative`

Counts

4 → 44

Calls

4 calls:

3.0ms	(/ 1 (cbrt (/ 2.0 g)))
7.0ms	(* (/ 1 (cbrt (/ 2.0 g))) (/ 1 (cbrt a)))
2.0ms	(cbrt (/ 2.0 g))
1.0ms	(cbrt a)

series934.0ms

Counts

4 → 12

Calls

4 calls:

413.0ms	(/ 1 (cbrt (/ 2.0 g)))
134.0ms	(* (/ 1 (cbrt (/ 2.0 g))) (/ 1 (cbrt a)))
207.0ms	(cbrt (/ 2.0 g))
179.0ms	(cbrt a)

simplify80.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	211	205
1	691	195
2	3166	192
3	5002	192

prune97.0ms

Filtered

56 candidates to 38 candidates (67.9%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	1	9	10
Picked	0	1	1
Done	0	3	3
Total	55	15	70

Merged error: 0.0b

Counts

70 → 15

regimes223.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	5
1	16	5
2	16	5

end0.0ms

sample312.0ms

Algorithm

intervals

Results

184.0ms

8000×

body

valid