Details

analyze254.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
32.8%	67.1%	0.1%	9
43.7%	43.7%	12.6%	10
46.8%	40.6%	12.6%	11
52.7%	34.7%	12.6%	12
58.5%	22.6%	18.9%	13
60.5%	20.7%	18.9%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	29×	body	80	invalid

simplify2.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

prune9.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* y z) z)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (* y z) z)

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(* (* y z) z)

simplify35.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5162	121

prune27.0ms

Filtered

11 candidates to 21 candidates (-90.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	19	4	23

Merged error: 0.0b

Counts

23 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
8.3b	(* y (* z (* (cbrt z) (cbrt z))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log`
11×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
9.0ms	(* y (* z (* (cbrt z) (cbrt z))))

series90.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt z)
21.0ms	(cbrt z)
21.0ms	(cbrt z)
26.0ms	(* y (* z (* (cbrt z) (cbrt z))))

simplify75.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4853	298
1	4853	298

prune62.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	66	4	70

Merged error: 0.0b

Counts

70 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

10.1b

(* y (* z z))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `*-un-lft-identity`
1×	`associate-r` `*-commutative` `add-log-exp` `unswap-sqr`

Counts

1 → 19

Calls

1 calls:

5.0ms

(* y (* z z))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* y (* z z))

simplify47.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5043	129

prune18.0ms

Filtered

10 candidates to 22 candidates (-120.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	22	4	26

Merged error: 0.0b

Counts

26 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.1b	(* z (sqrt y))
0.1b	(* z (sqrt y))
0.2b	(* (* z (sqrt y)) (* z (sqrt y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

46×	`pow1`
19×	`add-exp-log` `pow-prod-down` `add-cbrt-cube`
17×	`add-sqr-sqrt`
13×	`associate-r`
10×	`prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-prod`
7×	`associate-l`
4×	`pow-sqr` `pow-prod-up` `unswap-sqr`
3×	`*-commutative` `add-log-exp`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

3 → 78

Calls

3 calls:

5.0ms	(* z (sqrt y))
5.0ms	(* z (sqrt y))
8.0ms	(* (* z (sqrt y)) (* z (sqrt y)))

series22.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(* z (sqrt y))
7.0ms	(* z (sqrt y))
6.0ms	(* (* z (sqrt y)) (* z (sqrt y)))

simplify27.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5612	529

prune57.0ms

Filtered

47 candidates to 87 candidates (-85.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	86	5	91

Merged error: 0.0b

Counts

91 → 5

regimes246.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

end0.0ms

sample403.0ms

Algorithm

intervals

Results

208.0ms	8000×	body	80	valid
17.0ms	693×	body	80	invalid

Details

analyze254.0ms

sample15.0ms

simplify2.0ms

prune9.0ms

localize5.0ms

rewrite5.0ms

series10.0ms

simplify35.0ms

prune27.0ms

localize9.0ms

rewrite13.0ms

series90.0ms

simplify75.0ms

prune62.0ms

localize6.0ms

rewrite6.0ms

series7.0ms

simplify47.0ms

prune18.0ms

localize6.0ms

rewrite20.0ms

series22.0ms

simplify27.0ms

prune57.0ms

regimes246.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample403.0ms

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