Details

sample28.0ms

Algorithm

intervals

Results

17.0ms

466×

body

valid

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (18.0ms)

Iter	Nodes	Cost
0	24	9
1	61	9
2	168	8
3	483	6
4	1418	5
5	3857	5
6	5001	5

prune6.0ms

Filtered

1 candidates to 1 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: 8.6b

Counts

2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
8.9b	(* x.re (- (* x.im x.im)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-r`
3×	`*-commutative`
2×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
1×	`neg-mul-1` `distribute-rgt-neg-out` `fma-udef`

Counts

2 → 8

Calls

2 calls:

1.0ms	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
3.0ms	(* x.re (- (* x.im x.im)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
29.0ms	(* x.re (- (* x.im x.im)))

simplify65.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	51	37
1	148	36
2	534	33
3	1850	33
4	5001	33

prune23.0ms

Filtered

14 candidates to 8 candidates (57.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	14	2	16

Merged error: 0.1b

Counts

16 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))
0.1b	(* (* x.re (- x.im)) x.im)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate-l`
2×	`*-commutative`
1×	`distribute-lft-neg-out` `neg-mul-1` `associate-r` `distribute-rgt-neg-out` `fma-udef`

Counts

2 → 6

Calls

2 calls:

1.0ms	(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))
4.0ms	(* (* x.re (- x.im)) x.im)

series83.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))
31.0ms	(* (* x.re (- x.im)) x.im)

simplify68.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 3 (16.0ms)

Iter	Nodes	Cost
0	48	34
1	143	34
2	552	33
3	1917	30
4	5001	30

prune26.0ms

Filtered

12 candidates to 8 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	11	1	12
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	11	3	14

Merged error: 0.1b

Counts

14 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* -3 (* x.re (* x.im x.im)))
8.9b	(* x.re (* x.im x.im))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-r`
5×	`*-commutative`

Counts

2 → 8

Calls

2 calls:

4.0ms	(* -3 (* x.re (* x.im x.im)))
3.0ms	(* x.re (* x.im x.im))

series59.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* -3 (* x.re (* x.im x.im)))
26.0ms	(* x.re (* x.im x.im))

simplify73.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	24
1	58	24
2	119	24
3	316	24
4	1129	24
5	5001	24

prune20.0ms

Filtered

14 candidates to 7 candidates (50.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	12	5	17

Merged error: 0.0b

Counts

17 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* -3 (* x.re x.im)) x.im)
0.2b	(* -3 (* x.re x.im))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-commutative`
4×	`associate-r` `associate-l`

Counts

2 → 8

Calls

2 calls:

4.0ms	(* (* -3 (* x.re x.im)) x.im)
3.0ms	(* -3 (* x.re x.im))

series50.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (* -3 (* x.re x.im)) x.im)
17.0ms	(* -3 (* x.re x.im))

simplify66.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	22
1	57	22
2	130	22
3	329	22
4	1117	22
5	5001	22

prune24.0ms

Filtered

14 candidates to 10 candidates (71.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	1	1	2
Picked	0	1	1
Done	2	0	2
Total	14	5	19

Merged error: 0.0b

Counts

19 → 5

regimes37.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample758.0ms

Algorithm

intervals

Results

526.0ms

14537×

body

valid