Details

analyze1.1s (46.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
25%	74.9%	0.2%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample38.0ms (1.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	45×	body	128	invalid

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify19.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

171×	`fma-def_binary64`
87×	`fma-neg_binary64`
36×	`cancel-sign-sub-inv_binary64`
23×	`distribute-rgt-neg-in_binary64`
20×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	18	14
2	29	14
3	46	14
4	68	14
5	102	14
6	154	14
7	215	14
8	259	14
9	281	14
10	301	14
11	307	14
12	276	14

prune2.0ms (0.1%)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

rewrite22.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
5×	`flip3--_binary64`
5×	`add-cube-cbrt_binary64`
4×	`pow1_binary64`

Counts

1 → 47

Calls

1 calls:

20.0ms

(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))

series27.0ms (1.2%)

Counts

1 → 48

Calls

1 calls:

27.0ms

(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))

simplify107.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

710×	`fma-neg_binary64`
558×	`cancel-sign-sub-inv_binary64`
308×	`distribute-rgt-neg-in_binary64`
286×	`div-sub_binary64`
267×	`distribute-lft-neg-in_binary64`

Counts

95 → 130

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	1496
1	189	1491
2	604	1481
3	1916	1481
4	3961	1481
5	4923	1481

prune28.0ms (1.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	1	131

Error

0.0b

Counts

131 → 1

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 x.re y.re (neg.f64 (*.f64 x.im y.im)))

Compiler

Compiled 1234 to 237 computations (80.8% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x.re y.re (neg.f64 (*.f64 x.im y.im)))

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`fma-udef_binary64`
5×	`add-cube-cbrt_binary64`
4×	`pow1_binary64`
4×	`add-sqr-sqrt_binary64`
3×	`add-cbrt-cube_binary64`

Counts

1 → 34

Calls

1 calls:

9.0ms

(fma.f64 x.re y.re (neg.f64 (*.f64 x.im y.im)))

series32.0ms (1.4%)

Counts

1 → 48

Calls

1 calls:

32.0ms

(fma.f64 x.re y.re (neg.f64 (*.f64 x.im y.im)))

simplify107.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

776×	`unsub-neg_binary64`
499×	`fma-neg_binary64`
385×	`associate-l_binary64`
355×	`neg-sub0_binary64`
344×	`distribute-rgt-neg-in_binary64`

Counts

82 → 104

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	1091
1	120	1053
2	418	1048
3	1525	1048
4	2892	1048
5	4106	1048
6	4871	1048

prune16.0ms (0.7%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	104	1	105

Error

0.0b

Counts

105 → 1

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 x.re y.re (neg.f64 (*.f64 x.im y.im)))

Compiler

Compiled 646 to 125 computations (80.7% saved)

regimes141.0ms (6.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 1779 to 1232 computations (30.7% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
3×	`+-commutative_binary64`
3×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	19	14
2	27	14
3	32	14
4	34	14
5	34	14

end25.0ms (1.1%)

Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 55 to 35 computations (36.4% saved)

sample651.0ms (28.2%)

Algorithm

1×

intervals

Results

254.0ms	8000×	body	128	valid
47.0ms	1383×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

Iter	Nodes	Cost
0	10	14
1	18	14
2	29	14
3	46	14
4	68	14
5	102	14
6	154	14
7	215	14
8	259	14
9	281	14
10	301	14
11	307	14
12	276	14

Iter	Nodes	Cost
0	10	14
1	18	14
2	29	14
3	46	14
4	68	14
5	102	14
6	154	14
7	215	14
8	259	14
9	281	14
10	301	14
11	307	14
12	276	14

Details

analyze1.1s (46.2%)

sample38.0ms (1.6%)

simplify19.0ms (0.8%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite22.0ms (1%)

series27.0ms (1.2%)

simplify107.0ms (4.6%)

prune28.0ms (1.2%)

localize5.0ms (0.2%)

rewrite10.0ms (0.4%)

series32.0ms (1.4%)

simplify107.0ms (4.7%)

prune16.0ms (0.7%)

regimes141.0ms (6.1%)

simplify4.0ms (0.2%)

end25.0ms (1.1%)

sample651.0ms (28.2%)

Profiling

Iter	Nodes	Cost
0	10	14
1	18	14
2	29	14
3	46	14
4	68	14
5	102	14
6	154	14
7	215	14
8	259	14
9	281	14
10	301	14
11	307	14
12	276	14