Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

273×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	40	7
2	56	7
3	76	7
4	90	7
5	94	7
6	94	7

prune2.0ms

Filtered

1 candidates to 0 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: 23.6b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(- (* x.im y.re) (* x.re y.im))
23.2b	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-commutative`
4×	`prod-diff`
2×	`flip3--` `fma-neg` `associate-/r/` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `flip3-+` `div-sub` `clear-num` `flip-+` `div-inv`

Counts

2 → 18

Calls

2 calls:

5.0ms	(- (* x.im y.re) (* x.re y.im))
8.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

series118.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(- (* x.im y.re) (* x.re y.im))
82.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

simplify52.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	152	124
1	501	121
2	1718	121
3	5001	108

prune54.0ms

Filtered

24 candidates to 16 candidates (66.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	19	5	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	20	5	25

Merged error: 20.7b

Counts

25 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

2.7b	(/ x.re (/ (fma y.re y.re (* y.im y.im)) y.im))
4.0b	(/ x.im (/ (fma y.re y.re (* y.im y.im)) y.re))
16.5b	(/ (fma y.re y.re (* y.im y.im)) y.re)
19.6b	(/ (fma y.re y.re (* y.im y.im)) y.im)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`frac-2neg` `clear-num` `associate-/r/` `div-inv`
2×	`associate-/r*`

Counts

4 → 20

Calls

4 calls:

3.0ms	(/ x.re (/ (fma y.re y.re (* y.im y.im)) y.im))
3.0ms	(/ x.im (/ (fma y.re y.re (* y.im y.im)) y.re))
2.0ms	(/ (fma y.re y.re (* y.im y.im)) y.re)
2.0ms	(/ (fma y.re y.re (* y.im y.im)) y.im)

series199.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ x.re (/ (fma y.re y.re (* y.im y.im)) y.im))
49.0ms	(/ x.im (/ (fma y.re y.re (* y.im y.im)) y.re))
53.0ms	(/ (fma y.re y.re (* y.im y.im)) y.re)
52.0ms	(/ (fma y.re y.re (* y.im y.im)) y.im)

simplify101.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (17.0ms)

Iter	Nodes	Cost
0	57	80
1	133	80
2	514	78
3	3082	72
4	5002	72

prune79.0ms

Filtered

32 candidates to 22 candidates (68.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	30	7	37

Merged error: 4.4b

Counts

37 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (/ y.re y.im) y.re y.im)
2.7b	(/ x.re (fma (/ y.re y.im) y.re y.im))
4.0b	(/ x.im (/ (fma y.re y.re (* y.im y.im)) y.re))
16.5b	(/ (fma y.re y.re (* y.im y.im)) y.re)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`frac-2neg` `clear-num` `div-inv`
3×	`associate-/r/`
1×	`associate-/r*` `fma-udef`

Counts

4 → 14

Calls

4 calls:

1.0ms	(fma (/ y.re y.im) y.re y.im)
2.0ms	(/ x.re (fma (/ y.re y.im) y.re y.im))
3.0ms	(/ x.im (/ (fma y.re y.re (* y.im y.im)) y.re))
2.0ms	(/ (fma y.re y.re (* y.im y.im)) y.re)

series166.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(fma (/ y.re y.im) y.re y.im)
35.0ms	(/ x.re (fma (/ y.re y.im) y.re y.im))
45.0ms	(/ x.im (/ (fma y.re y.re (* y.im y.im)) y.re))
58.0ms	(/ (fma y.re y.re (* y.im y.im)) y.re)

simplify70.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 3 (14.0ms)

Iter	Nodes	Cost
0	51	58
1	112	58
2	398	57
3	2094	54
4	5001	54

prune62.0ms

Filtered

26 candidates to 16 candidates (61.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	21	5	26
Fresh	5	1	6
Picked	1	0	1
Done	0	0	0
Total	27	6	33

Merged error: 3.1b

Counts

33 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (/ y.re y.im) y.re y.im)
0.1b	(fma (/ y.im y.re) y.im y.re)
2.7b	(/ x.re (fma (/ y.re y.im) y.re y.im))
4.0b	(/ x.im (fma (/ y.im y.re) y.im y.re))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

2×	`frac-2neg` `clear-num` `fma-udef` `div-inv`

Counts

4 → 8

Calls

4 calls:

1.0ms	(fma (/ y.re y.im) y.re y.im)
1.0ms	(fma (/ y.im y.re) y.im y.re)
2.0ms	(/ x.re (fma (/ y.re y.im) y.re y.im))
2.0ms	(/ x.im (fma (/ y.im y.re) y.im y.re))

series123.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(fma (/ y.re y.im) y.re y.im)
32.0ms	(fma (/ y.im y.re) y.im y.re)
31.0ms	(/ x.re (fma (/ y.re y.im) y.re y.im))
31.0ms	(/ x.im (fma (/ y.im y.re) y.im y.re))

simplify32.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	36
1	75	36
2	229	36
3	808	36
4	5002	36

prune33.0ms

Filtered

20 candidates to 10 candidates (50.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	17	3	20
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	21	5	26

Merged error: 3.1b

Counts

26 → 5

regimes101.0ms

Accuracy

0% (1.2b remaining)

Error of 3.4b against oracle of 2.2b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	8
1	16	8

end0.0ms

sample498.0ms

Algorithm

intervals

Results

294.0ms

8478×

body

valid