Details

analyze804.0ms (36.5%)

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)

sample1.1s (50.3%)

Symmetry

(sort x.re y.im)

(sort x.im y.re)

Results

901.0ms	8256×	body	128	valid
167.0ms	1396×	body	128	invalid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify6.0ms (0.3%)

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 (0.1%)

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 (0.2%)

Local error

Found 1 expressions with local error:

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

series11.0ms (0.5%)

Counts

1 → 48

Calls

1 calls:

11.0ms

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

rewrite42.0ms (1.9%)

Algorithm

2×	batch-egg-rewrite

Rules

602×	`log1p-expm1-u_binary64`
602×	`expm1-log1p-u_binary64`
339×	`log-prod_binary64`
176×	`prod-diff_binary64`
129×	`expm1-udef_binary64`

Counts

1 → 29

Calls

1 calls:

41.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	137	8
2	1580	8
3	5147	8
0	0	0
1	0	0

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Counts

77 → 34

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	336
1	13	336
2	15	336
3	15	336

prune15.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	2	35

Error

Counts

35 → 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 406 to 121 computations (70.2% saved)

localize5.0ms (0.2%)

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 (0.4%)

Counts

1 → 48

Calls

1 calls:

9.0ms

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

rewrite42.0ms (1.9%)

Algorithm

2×	batch-egg-rewrite

Rules

602×	`log1p-expm1-u_binary64`
602×	`expm1-log1p-u_binary64`
339×	`log-prod_binary64`
176×	`prod-diff_binary64`
129×	`expm1-udef_binary64`

Counts

1 → 29

Calls

1 calls:

41.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	137	8
2	1580	8
3	5147	8
0	0	0
1	0	0

simplify11.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Counts

77 → 32

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	336
1	13	336
2	15	336
3	15	336

prune13.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	32	2	34

Error

Counts

34 → 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 382 to 112 computations (70.7% saved)

regimes63.0ms (2.9%)

Accuracy

Total 0.0b remaining (93%)

Threshold costs 0.0b (93%)

Counts

5 → 1

Compiler

Compiled 447 to 297 computations (33.6% 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

end54.0ms (2.5%)

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 80 to 48 computations (40% saved)

Details

analyze804.0ms (36.5%)

sample1.1s (50.3%)

simplify6.0ms (0.3%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series11.0ms (0.5%)

rewrite42.0ms (1.9%)

simplify12.0ms (0.5%)

prune15.0ms (0.7%)

localize5.0ms (0.2%)

series9.0ms (0.4%)

rewrite42.0ms (1.9%)

simplify11.0ms (0.5%)

prune13.0ms (0.6%)

regimes63.0ms (2.9%)

simplify2.0ms (0.1%)

end54.0ms (2.5%)

Profiling