Details

sample22.0ms

Algorithm

intervals

Results

6.0ms	53×	body	1280	valid
3.0ms	39×	body	640	valid
3.0ms	135×	body	80	valid
1.0ms	20×	body	320	valid
0.0ms	9×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

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: 28.9b

Counts

2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.9b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite12.0ms

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:

3.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
8.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series48.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(cbrt (+ x 1.0))
21.0ms	(cbrt x)
20.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify116.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (111.0ms)

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

prune191.0ms

Filtered

53 candidates to 42 candidates (20.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	48	5	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	5	54

Merged error: 0.4b

Counts

54 → 5

localize12.0ms

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)

rewrite11.0ms

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:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series91.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt x) (cbrt x))
21.0ms	(cbrt x)
21.0ms	(cbrt x)
24.0ms	(cbrt x)

simplify71.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (66.0ms)

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

prune331.0ms

Filtered

85 candidates to 56 candidates (34.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	77	8	85
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	77	13	90

Merged error: 0.2b

Counts

90 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

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:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series88.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
21.0ms	(cbrt x)
24.0ms	(cbrt x)
21.0ms	(cbrt x)

simplify120.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 4 (22.0ms)

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

prune340.0ms

Filtered

56 candidates to 44 candidates (21.4%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	54	15	69

Merged error: 0.2b

Counts

69 → 15

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

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:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series88.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt x)
21.0ms	(cbrt x)
21.0ms	(cbrt x)
22.0ms	(cbrt x)

simplify119.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 4 (22.0ms)

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

prune233.0ms

Filtered

56 candidates to 44 candidates (21.4%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	1	11	12
Picked	1	0	1
Done	0	2	2
Total	56	15	71

Merged error: 0.2b

Counts

71 → 15

regimes215.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	13
1	21	13
2	21	13

end0.0ms

sample564.0ms

Algorithm

intervals

Results

190.0ms	1728×	body	1280	valid
105.0ms	1270×	body	640	valid
90.0ms	4104×	body	80	valid
38.0ms	575×	body	320	valid
13.0ms	323×	body	160	valid

Details

sample22.0ms

simplify4.0ms

prune3.0ms

localize5.0ms

rewrite12.0ms

series48.0ms

simplify116.0ms

prune191.0ms

localize12.0ms

rewrite11.0ms

series91.0ms

simplify71.0ms

prune331.0ms

localize18.0ms

rewrite6.0ms

series88.0ms

simplify120.0ms

prune340.0ms

localize19.0ms

rewrite6.0ms

series88.0ms

simplify119.0ms

prune233.0ms

regimes215.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample564.0ms

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