Details

analyze672.0ms (38.3%)

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)

sample42.0ms (2.4%)

Algorithm

1×

intervals

Symmetry

(sort x.re y.im)

(sort x.im y.re)

Results

7.0ms	256×	body	128	valid
3.0ms	38×	body	128	invalid

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify9.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	12	8
2	15	8
3	15	8

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.0b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 37 to 20 computations (45.9% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.5%)

Counts

1 → 48

Calls

1 calls:

9.0ms

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

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

simplify118.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

572×	`associate-/r/_binary64`
528×	`fma-def_binary64`
502×	`unswap-sqr_binary64`
500×	`distribute-rgt-in_binary64`
485×	`associate-+l+_binary64`

Counts

58 → 22

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	460
1	23	443
2	47	443
3	128	443
4	401	443
5	1504	443
6	2934	443
7	3199	443
8	3454	443
9	3982	443
10	4805	443
11	4988	443
12	4867	443

prune15.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	2	23

Error

Counts

23 → 2

Alt Table

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

Compiler

Compiled 253 to 66 computations (73.9% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.5%)

Counts

1 → 48

Calls

1 calls:

9.0ms

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

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

simplify122.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

572×	`associate-/r/_binary64`
527×	`fma-def_binary64`
502×	`unswap-sqr_binary64`
500×	`distribute-rgt-in_binary64`
485×	`associate-+l+_binary64`

Counts

58 → 21

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	460
1	23	443
2	47	443
3	128	443
4	401	443
5	1504	443
6	2934	443
7	3199	443
8	3454	443
9	3982	443
10	4805	443
11	4988	443
12	4867	443

prune8.0ms (0.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	21	2	23

Error

Counts

23 → 2

Alt Table

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

Compiler

Compiled 236 to 58 computations (75.4% saved)

regimes57.0ms (3.2%)

Accuracy

Total 0.0b remaining (87.5%)

Threshold costs 0.0b (87.5%)

Counts

5 → 1

Compiler

Compiled 454 to 302 computations (33.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
2	8	8

end19.0ms (1.1%)

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 50 to 30 computations (40% saved)

sample657.0ms (37.5%)

Algorithm

1×

intervals

Results

247.0ms	8000×	body	128	valid
37.0ms	1305×	body	128	invalid

Compiler

Compiled 46 to 30 computations (34.8% saved)

Details

analyze672.0ms (38.3%)

sample42.0ms (2.4%)

simplify9.0ms (0.5%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

series9.0ms (0.5%)

rewrite1.0ms (0%)

simplify118.0ms (6.7%)

prune15.0ms (0.9%)

localize5.0ms (0.3%)

series9.0ms (0.5%)

rewrite1.0ms (0%)

simplify122.0ms (6.9%)

prune8.0ms (0.5%)

regimes57.0ms (3.2%)

simplify2.0ms (0.1%)

end19.0ms (1.1%)

sample657.0ms (37.5%)

Profiling