Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

264×

body

valid

simplify12.0ms

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: 26.0b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y.re y.re) (* y.im y.im))
0.3b	(- (* x.im y.re) (* x.re y.im))
25.5b	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 23

Calls

3 calls:

4.0ms	(+ (* y.re y.re) (* y.im y.im))
4.0ms	(- (* 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)))

series144.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ (* y.re y.re) (* y.im y.im))
37.0ms	(- (* 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)))

simplify70.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	187	153
1	737	147
2	2765	145
3	5001	130

prune76.0ms

Filtered

32 candidates to 20 candidates (62.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	24	8	32
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	8	33

Merged error: 22.1b

Counts

33 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

3.7b	(/ x.im (/ (fma y.re y.re (* y.im y.im)) y.re))
3.7b	(/ x.re (/ (fma y.re y.re (* y.im y.im)) y.im))
16.9b	(/ (fma y.re y.re (* y.im y.im)) y.re)
19.2b	(/ (fma y.re y.re (* y.im y.im)) y.im)

rewrite9.0ms

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

series198.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ x.im (/ (fma y.re y.re (* y.im y.im)) y.re))
47.0ms	(/ x.re (/ (fma y.re y.re (* y.im y.im)) y.im))
57.0ms	(/ (fma y.re y.re (* y.im y.im)) y.re)
48.0ms	(/ (fma y.re y.re (* y.im y.im)) y.im)

simplify102.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (18.0ms)

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

prune80.0ms

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	4	3	7
Picked	1	0	1
Done	0	0	0
Total	33	7	40

Merged error: 5.3b

Counts

40 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (/ y.re y.im) y.re y.im)
3.7b	(/ x.im (/ (fma y.re y.re (* y.im y.im)) y.re))
3.7b	(/ x.re (fma (/ y.re y.im) y.re y.im))
16.9b	(/ (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)
3.0ms	(/ x.im (/ (fma y.re y.re (* y.im y.im)) y.re))
2.0ms	(/ x.re (fma (/ y.re y.im) y.re y.im))
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)
48.0ms	(/ x.im (/ (fma y.re y.re (* y.im y.im)) y.re))
31.0ms	(/ x.re (fma (/ y.re y.im) y.re y.im))
57.0ms	(/ (fma y.re y.re (* y.im y.im)) y.re)

simplify75.0ms

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

prune65.0ms

Filtered

26 candidates to 16 candidates (61.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	28	5	33

Merged error: 2.5b

Counts

33 → 5

localize11.0ms

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)
3.7b	(/ x.im (fma (/ y.im y.re) y.im y.re))
3.7b	(/ x.re (fma (/ y.re y.im) y.re y.im))

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

series130.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(fma (/ y.re y.im) y.re y.im)
30.0ms	(fma (/ y.im y.re) y.im y.re)
32.0ms	(/ x.im (fma (/ y.im y.re) y.im y.re))
36.0ms	(/ x.re (fma (/ y.re y.im) y.re y.im))

simplify33.0ms

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

prune30.0ms

Filtered

20 candidates to 10 candidates (50.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	18	2	20
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	20	5	25

Merged error: 2.5b

Counts

25 → 5

regimes114.0ms

Accuracy

0% (1.2b remaining)

Error of 3.5b against oracle of 2.3b and baseline of 3.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	8
1	15	8

end0.0ms

sample509.0ms

Algorithm

intervals

Results

294.0ms

8488×

body

valid