Details

analyze87.0ms

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
43.7%	43.7%	12.6%	7
53.1%	34.3%	12.6%	8
57.8%	23.4%	18.8%	9
63.2%	18%	18.8%	10
66%	12.1%	22%	11
68.9%	9.2%	22%	12
70.3%	6.1%	23.5%	13
71.9%	4.6%	23.5%	14

sample21.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	10×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

prune2.0ms

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: 7.4b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

6.9b	(* x (+ 1.0 (* y y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

5.0ms

(* x (+ 1.0 (* y y)))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(* x (+ 1.0 (* y y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4909	206
1	4909	206

prune42.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	20	5	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	6	26

Merged error: 7.1b

Counts

26 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

12.6b

(* x (* y y))

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

(* x (* y y))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(* x (* y y))

simplify44.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5043	129

prune25.0ms

Filtered

12 candidates to 22 candidates (-83.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	2	2	4
Picked	0	1	1
Done	1	0	1
Total	24	4	28

Merged error: 0.0b

Counts

28 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x y) y)

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:

4.0ms

(* (* x y) y)

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(* (* x y) y)

simplify37.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5162	121

prune26.0ms

Filtered

11 candidates to 21 candidates (-90.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	19	6	25

Merged error: 0.0b

Counts

25 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
8.7b	(* x (* y (* (cbrt y) (cbrt y))))

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

series84.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
21.0ms	(cbrt y)
23.0ms	(cbrt y)
20.0ms	(* x (* y (* (cbrt y) (cbrt y))))

simplify63.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4869	298
1	4869	298

prune58.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	66	6	72

Merged error: 0.0b

Counts

72 → 6

regimes231.0ms

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	11	9
1	11	9

end0.0ms

sample295.0ms

Algorithm

intervals

Results

175.0ms	8000×	body	80	valid
3.0ms	157×	body	80	invalid

Details

analyze87.0ms

sample21.0ms

simplify4.0ms

prune2.0ms

localize7.0ms

rewrite5.0ms

series10.0ms

simplify47.0ms

prune42.0ms

localize5.0ms

rewrite6.0ms

series6.0ms

simplify44.0ms

prune25.0ms

localize5.0ms

rewrite5.0ms

series6.0ms

simplify37.0ms

prune26.0ms

localize9.0ms

rewrite13.0ms

series84.0ms

simplify63.0ms

prune58.0ms

regimes231.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample295.0ms

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