Details

sample25.0ms

Algorithm

intervals

Results

15.0ms

458×

body

valid

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (17.0ms)

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: 7.1b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
7.4b	(* 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)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(fma 3 (* x.re (- (* x.im x.im))) (pow x.re 3))
31.0ms	(* x.re (- (* x.im x.im)))

simplify66.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 2 (6.0ms)

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

prune28.0ms

Filtered

14 candidates to 8 candidates (57.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	12	4	16

Merged error: 0.1b

Counts

16 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

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

series81.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(fma 3 (* (* x.re (- x.im)) x.im) (pow x.re 3))
29.0ms	(* (* 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

prune28.0ms

Filtered

12 candidates to 8 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	10	2	12
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	13	3	16

Merged error: 0.1b

Counts

16 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* -3 (* (* x.re x.im) x.im)) (pow x.re 3))
0.2b	(* (* x.re x.im) x.im)
0.2b	(* -3 (* (* x.re x.im) x.im))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-r` `*-commutative`
6×	`fma-def` `associate-l`
1×	`+-commutative` `flip3-+` `flip-+`

Counts

3 → 17

Calls

3 calls:

7.0ms	(+ (* -3 (* (* x.re x.im) x.im)) (pow x.re 3))
3.0ms	(* (* x.re x.im) x.im)
4.0ms	(* -3 (* (* x.re x.im) x.im))

series106.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ (* -3 (* (* x.re x.im) x.im)) (pow x.re 3))
25.0ms	(* (* x.re x.im) x.im)
29.0ms	(* -3 (* (* x.re x.im) x.im))

simplify90.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	89	74
1	384	72
2	2254	70
3	5002	67

prune48.0ms

Filtered

26 candidates to 16 candidates (61.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	24	5	29

Merged error: 0.0b

Counts

29 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* -3 x.im) (* x.re x.im)) (pow x.re 3))
0.2b	(* (* -3 x.im) (* x.re x.im))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-commutative`
6×	`fma-def`
5×	`associate-r`
4×	`associate-l`
1×	`+-commutative` `distribute-rgt-out` `flip3-+` `unpow3` `flip-+`

Counts

2 → 15

Calls

2 calls:

7.0ms	(+ (* (* -3 x.im) (* x.re x.im)) (pow x.re 3))
4.0ms	(* (* -3 x.im) (* x.re x.im))

series91.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(+ (* (* -3 x.im) (* x.re x.im)) (pow x.re 3))
20.0ms	(* (* -3 x.im) (* x.re x.im))

simplify89.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	98	73
1	358	71
2	2132	68
3	5002	65

prune44.0ms

Filtered

21 candidates to 16 candidates (76.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	20	6	26

Merged error: 0b

Counts

26 → 6

regimes45.0ms

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

sample709.0ms

Algorithm

intervals

Results

493.0ms

14417×

body

valid