Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

339×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	5
1	9	5

prune7.0ms

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: 0.1b

Counts

2 → 2

localize3.0ms

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 (34.0ms)

Iter	Nodes	Cost
0	5162	121

prune25.0ms

Filtered

11 candidates to 21 candidates (-90.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	18	5	23

Merged error: 0.1b

Counts

23 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

8.6b	(* 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))

simplify46.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5043	129

prune22.0ms

Filtered

9 candidates to 22 candidates (-144.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	21	6	27

Merged error: 0.0b

Counts

27 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

8.6b	(* x (* y y))
22.0b	(cbrt (* x (* y y)))
22.0b	(cbrt (* x (* y y)))
22.0b	(cbrt (* x (* y y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 46

Calls

4 calls:

5.0ms	(* x (* y y))
4.0ms	(cbrt (* x (* y y)))
4.0ms	(cbrt (* x (* y y)))
4.0ms	(cbrt (* x (* y y)))

series72.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (* y y))
22.0ms	(cbrt (* x (* y y)))
21.0ms	(cbrt (* x (* y y)))
23.0ms	(cbrt (* x (* y y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5357	372

prune65.0ms

Filtered

39 candidates to 58 candidates (-48.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	58	6	64

Merged error: 0.0b

Counts

64 → 6

localize5.0ms

Local error

Found 3 expressions with local error:

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

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

series21.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* y (sqrt x))
6.0ms	(* y (sqrt x))
8.0ms	(* (* y (sqrt x)) (* y (sqrt x)))

simplify27.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5592	525

prune53.0ms

Filtered

47 candidates to 87 candidates (-85.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	87	6	93

Merged error: 0.0b

Counts

93 → 6

regimes126.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms

sample470.0ms

Algorithm

intervals

Results

201.0ms

10704×

body

valid

Details

sample16.0ms

simplify3.0ms

prune7.0ms

localize3.0ms

rewrite5.0ms

series6.0ms

simplify37.0ms

prune25.0ms

localize6.0ms

rewrite6.0ms

series6.0ms

simplify46.0ms

prune22.0ms

localize8.0ms

rewrite18.0ms

series72.0ms

simplify53.0ms

prune65.0ms

localize5.0ms

rewrite20.0ms

series21.0ms

simplify27.0ms

prune53.0ms

regimes126.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample470.0ms

Profiling