Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	46×	body	1280	valid
0.0hr	45×	body	640	valid
0.0hr	128×	body	80	valid
0.0hr	27×	body	320	valid
0.0hr	10×	body	160	valid

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4

prune0.0hr

Filtered

1 candidates to 0 candidates (100.0%)

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: 30.5b

Counts

2 → 1

localize0.0hr

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.3b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
14×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `add-log-exp`
4×	`difference-of-squares`
3×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3` `distribute-lft-out`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+`

Counts

3 → 44

Calls

3 calls:

0.0hr	(cbrt (+ x 1.0))
0.0hr	(cbrt x)
0.0hr	(- (cbrt (+ x 1.0)) (cbrt x))

series0.0hr

Counts

3 → 9

Calls

3 calls:

0.0hr	(cbrt (+ x 1.0))
0.0hr	(cbrt x)
0.0hr	(- (cbrt (+ x 1.0)) (cbrt x))

simplify0.0hr

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (0.0hr)

Iter	Nodes	Cost
0	290	405
1	908	390
2	4235	335
3	5002	332

prune0.0hr

Filtered

53 candidates to 42 candidates (20.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	47	6	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	6	54

Merged error: 0.5b

Counts

54 → 6

localize0.0hr

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

0.0hr	(* (cbrt x) (cbrt x))
0.0hr	(cbrt x)
0.0hr	(cbrt x)
0.0hr	(cbrt x)

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(* (cbrt x) (cbrt x))
0.0hr	(cbrt x)
0.0hr	(cbrt x)
0.0hr	(cbrt x)

simplify0.0hr

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (0.0hr)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune0.0hr

Filtered

85 candidates to 56 candidates (34.1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	72	13	85
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	73	18	91

Merged error: 0.2b

Counts

91 → 18

localize0.0hr

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

0.0hr	(cbrt x)
0.0hr	(cbrt x)
0.0hr	(cbrt x)
0.0hr	(cbrt x)

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(cbrt x)
0.0hr	(cbrt x)
0.0hr	(cbrt x)
0.0hr	(cbrt x)

simplify0.0hr

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 4 (0.0hr)

Iter	Nodes	Cost
0	59	204
1	101	188
2	205	148
3	559	144
4	2708	128
5	5002	128

prune0.0hr

Filtered

56 candidates to 44 candidates (21.4%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	51	5	56
Fresh	2	15	17
Picked	0	1	1
Done	0	0	0
Total	53	21	74

Merged error: 0.2b

Counts

74 → 21

localize0.0hr

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

0.0hr	(cbrt x)
0.0hr	(cbrt x)
0.0hr	(cbrt x)
0.0hr	(cbrt x)

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(cbrt x)
0.0hr	(cbrt x)
0.0hr	(cbrt x)
0.0hr	(cbrt x)

simplify0.0hr

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 4 (0.0hr)

Iter	Nodes	Cost
0	59	204
1	101	188
2	205	148
3	559	144
4	2708	128
5	5002	128

prune0.0hr

Filtered

56 candidates to 44 candidates (21.4%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	19	19
Picked	0	1	1
Done	0	1	1
Total	56	21	77

Merged error: 0.2b

Counts

77 → 21

regimes0.0hr

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	23	19
1	27	19
2	27	19

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	1729×	body	1280	valid
0.0hr	1273×	body	640	valid
0.0hr	4089×	body	80	valid
0.0hr	584×	body	320	valid
0.0hr	325×	body	160	valid

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

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