Details

sample23.0ms

Algorithm

intervals

Results

7.0ms	60×	body	1280	valid
4.0ms	46×	body	640	valid
3.0ms	115×	body	80	valid
1.0ms	22×	body	320	valid
1.0ms	13×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

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: 33.4b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.4b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
3.5b	(- (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)
7.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series45.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(cbrt (+ x 1.0))
24.0ms	(cbrt x)
15.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify120.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (115.0ms)

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

prune91.0ms

Filtered

53 candidates to 42 candidates (20.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	49	4	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	4	54

Merged error: 0.6b

Counts

54 → 4

localize15.0ms

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)

series88.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt x) (cbrt x))
20.0ms	(cbrt x)
20.0ms	(cbrt x)
21.0ms	(cbrt x)

simplify74.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (69.0ms)

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

prune301.0ms

Filtered

85 candidates to 56 candidates (34.1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	69	16	85
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	71	18	89

Merged error: 0.3b

Counts

89 → 18

localize17.0ms

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)

series85.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt x)
20.0ms	(cbrt x)
20.0ms	(cbrt x)
23.0ms	(cbrt x)

simplify123.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 4 (25.0ms)

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

prune147.0ms

Filtered

56 candidates to 44 candidates (21.4%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	2	15	17
Picked	0	1	1
Done	0	0	0
Total	54	20	74

Merged error: 0.2b

Counts

74 → 20

localize17.0ms

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)

series84.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt x)
20.0ms	(cbrt x)
20.0ms	(cbrt x)
23.0ms	(cbrt x)

simplify125.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 4 (25.0ms)

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

prune85.0ms

Filtered

56 candidates to 44 candidates (21.4%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	18	18
Picked	0	1	1
Done	0	1	1
Total	54	22	76

Merged error: 0.2b

Counts

76 → 22

regimes202.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample602.0ms

Algorithm

intervals

Results

195.0ms	1717×	body	1280	valid
112.0ms	1240×	body	640	valid
100.0ms	4082×	body	80	valid
41.0ms	646×	body	320	valid
13.0ms	315×	body	160	valid

Details

sample23.0ms

simplify5.0ms

prune2.0ms

localize6.0ms

rewrite12.0ms

series45.0ms

simplify120.0ms

prune91.0ms

localize15.0ms

rewrite11.0ms

series88.0ms

simplify74.0ms

prune301.0ms

localize17.0ms

rewrite6.0ms

series85.0ms

simplify123.0ms

prune147.0ms

localize17.0ms

rewrite6.0ms

series84.0ms

simplify125.0ms

prune85.0ms

regimes202.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample602.0ms

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