Details

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

sample22.0ms

Algorithm

intervals

Results

7.0ms	51×	body	1280	valid
4.0ms	39×	body	640	valid
4.0ms	141×	body	80	valid
1.0ms	16×	body	320	valid
0.0ms	9×	body	160	valid

simplify5.0ms

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

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: 27.2b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
3.1b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite14.0ms

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)
9.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series44.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(cbrt (+ x 1.0))
22.0ms	(cbrt x)
16.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify123.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (114.0ms)

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

prune96.0ms

Filtered

42 candidates to 53 candidates (-26.2%)

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: 0.5b

Counts

54 → 4

localize14.0ms

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)

rewrite10.0ms

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)

series89.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify74.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (68.0ms)

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

prune173.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	77	8	85
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	77	12	89

Merged error: 0.3b

Counts

89 → 12

localize16.0ms

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:

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

prune123.0ms

Filtered

44 candidates to 56 candidates (-27.3%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	55	13	68

Merged error: 0.2b

Counts

68 → 13

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.9b	(pow (cbrt (cbrt x)) 4)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
4.0ms	(pow (cbrt (cbrt x)) 4)

series107.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
23.0ms	(cbrt x)
21.0ms	(cbrt x)
42.0ms	(pow (cbrt (cbrt x)) 4)

simplify71.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	177	304
1	486	283
2	1738	239
3	5001	239

prune125.0ms

Filtered

51 candidates to 69 candidates (-35.3%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	62	7	69
Fresh	0	10	10
Picked	1	0	1
Done	0	2	2
Total	63	19	82

Merged error: 0.2b

Counts

82 → 19

regimes199.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

analyze1.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

sample548.0ms

Algorithm

intervals

Results

193.0ms	1699×	body	1280	valid
113.0ms	1260×	body	640	valid
95.0ms	4095×	body	80	valid
43.0ms	621×	body	320	valid
14.0ms	325×	body	160	valid

Details

analyze5.0ms

sample22.0ms

simplify5.0ms

prune3.0ms

localize6.0ms

rewrite14.0ms

series44.0ms

simplify123.0ms

prune96.0ms

localize14.0ms

rewrite10.0ms

series89.0ms

simplify74.0ms

prune173.0ms

localize16.0ms

rewrite6.0ms

series85.0ms

simplify120.0ms

prune123.0ms

localize22.0ms

rewrite10.0ms

series107.0ms

simplify71.0ms

prune125.0ms

regimes199.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze1.0ms

sample548.0ms

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