Details

analyze826.0ms (38.9%)

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)

sample1.0s (47.6%)

Results

854.0ms	8256×	body	128	valid
141.0ms	1438×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess24.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

13×	`fma-def_binary64`
6×	`+-commutative_binary64`
6×	`*-commutative_binary64`
1×	`swap-x.im-y.re`
1×	`swap-x.re-y.im`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	56
1	34	56
2	40	56
0	4	4
1	4	4

Stop Event

1×	unsound
1×	saturated

Symmetry

(sort x.re y.im)

(sort x.im y.re)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

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)

localize4.0ms (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))

series8.0ms (0.4%)

Counts

1 → 48

Calls

12 calls:

1.0ms	(fma.f64 x.re y.im (*.f64 x.im y.re))	y.re	-inf
1.0ms	(fma.f64 x.re y.im (*.f64 x.im y.re))	x.im	-inf
1.0ms	(fma.f64 x.re y.im (*.f64 x.im y.re))	x.re	-inf
1.0ms	(fma.f64 x.re y.im (*.f64 x.im y.re))	y.im	-inf
1.0ms	(fma.f64 x.re y.im (*.f64 x.im y.re))	x.re	inf

rewrite31.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`pow1_binary64`
602×	`add-log-exp_binary64`
602×	`log1p-expm1-u_binary64`
602×	`expm1-log1p-u_binary64`
71×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	137	8
2	1626	8

Stop Event

1×	node limit

Counts

1 → 22

simplify10.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

70 → 27

prune12.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	2	28

Error

Counts

28 → 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 308 to 94 computations (69.5% saved)

localize4.0ms (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))

series8.0ms (0.4%)

Counts

1 → 48

Calls

12 calls:

1.0ms	(fma.f64 y.re x.im (*.f64 x.re y.im))	y.im	-inf
1.0ms	(fma.f64 y.re x.im (*.f64 x.re y.im))	x.re	-inf
1.0ms	(fma.f64 y.re x.im (*.f64 x.re y.im))	y.re	-inf
1.0ms	(fma.f64 y.re x.im (*.f64 x.re y.im))	x.im	-inf
1.0ms	(fma.f64 y.re x.im (*.f64 x.re y.im))	y.re	inf

rewrite32.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`pow1_binary64`
602×	`add-log-exp_binary64`
602×	`log1p-expm1-u_binary64`
602×	`expm1-log1p-u_binary64`
71×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	137	8
2	1626	8

Stop Event

1×	node limit

Counts

1 → 22

simplify11.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

70 → 25

prune9.0ms (0.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	25	2	27

Error

Counts

27 → 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 284 to 85 computations (70.1% saved)

regimes59.0ms (2.8%)

Accuracy

Total 0.0b remaining (86.5%)

Threshold costs 0.0b (86.5%)

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

Stop Event

1×

saturated

end60.0ms (2.8%)

Stop Event

1×

done

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 80 to 48 computations (40% saved)

Details

analyze826.0ms (38.9%)

sample1.0s (47.6%)

preprocess24.0ms (1.1%)

simplify8.0ms (0.4%)

prune3.0ms (0.1%)

localize4.0ms (0.2%)

series8.0ms (0.4%)

rewrite31.0ms (1.5%)

simplify10.0ms (0.5%)

prune12.0ms (0.6%)

localize4.0ms (0.2%)

series8.0ms (0.4%)

rewrite32.0ms (1.5%)

simplify11.0ms (0.5%)

prune9.0ms (0.4%)

regimes59.0ms (2.8%)

simplify2.0ms (0.1%)

end60.0ms (2.8%)

Profiling