Details

analyze799.0ms (36.6%)

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)

sample988.0ms (45.3%)

Results

833.0ms	8256×	body	128	valid
138.0ms	1377×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess40.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

447×	`rules-20_binary64`
359×	`rules-11_binary64`
274×	`rules-9-rev_binary64`
204×	`rules-4_binary64`
193×	`rules-12-rev_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	70
1	55	70
2	138	70
3	387	70
4	1672	70
0	4	4
1	4	4

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
0
3
1

Call 2

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

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

Symmetry

(sort x.re y.re)

(sort x.im y.im)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify29.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

556×	`rules-5_binary64`
449×	`rules-15-rev_binary64`
410×	`rules-20_binary64`
258×	`rules-15_binary64`
209×	`rules-21_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	15	10
2	33	10
3	88	10
4	335	10
5	1390	10
6	4251	10

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune7.0ms (0.3%)

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

Compiler

Compiled 40 to 24 computations (40% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.4%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x.re	@	-inf	(fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))
1.0ms	x.re	@	0	(fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))
1.0ms	y.re	@	-inf	(fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))
1.0ms	y.re	@	inf	(fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))
1.0ms	x.re	@	inf	(fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))

rewrite38.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`rules-40_binary64`
854×	`rules-41_binary64`
854×	`rules-42_binary64`
854×	`rules-43_binary64`
83×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	185	10
2	2386	10

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x.im (neg.f64 y.im)) (.f64 x.re y.re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x.im (neg.f64 y.im)) (+.f64 0 (.f64 x.re y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x.re y.re) (.f64 x.im (neg.f64 y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x.im (neg.f64 y.im)) (-.f64 0 (.f64 x.re y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x.im (+.f64 (neg.f64 y.im) (/.f64 (.f64 x.re y.re) x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 y.im) (+.f64 x.im (/.f64 (.f64 x.re y.re) (neg.f64 y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x.im (neg.f64 y.im)) (+.f64 1 (/.f64 (.f64 x.re y.re) (.f64 x.im (neg.f64 y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im)))) (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im)))) 2) (cbrt.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x.im (neg.f64 y.im))) 2) (+.f64 (cbrt.f64 (.f64 x.im (neg.f64 y.im))) (/.f64 (.f64 x.re y.re) (pow.f64 (cbrt.f64 (.f64 x.im (neg.f64 y.im))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im)))) (sqrt.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x.im (neg.f64 y.im))) (+.f64 (sqrt.f64 (.f64 x.im (neg.f64 y.im))) (/.f64 (.f64 x.re y.re) (sqrt.f64 (.f64 x.im (neg.f64 y.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im))) 3) (+.f64 (pow.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im))) 2) (+.f64 0 (.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im))) 3) (+.f64 (pow.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im))) 2) (-.f64 0 (.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x.re y.re) 3) (pow.f64 (.f64 x.im (neg.f64 y.im)) 3)) (+.f64 (.f64 (.f64 x.re y.re) (.f64 x.re y.re)) (-.f64 (pow.f64 (.f64 x.im (neg.f64 y.im)) 2) (.f64 (.f64 x.re y.re) (.f64 x.im (neg.f64 y.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x.re y.re (.f64 x.im (neg.f64 y.im)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x.im (neg.f64 y.im)) (*.f64 x.re y.re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x.im (neg.f64 y.im)) (+.f64 0 (*.f64 x.re y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x.re y.re) (*.f64 x.im (neg.f64 y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x.im (neg.f64 y.im)) (-.f64 0 (*.f64 x.re y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x.im (+.f64 (neg.f64 y.im) (/.f64 (*.f64 x.re y.re) x.im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y.im) (+.f64 x.im (/.f64 (*.f64 x.re y.re) (neg.f64 y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x.im (neg.f64 y.im)) (+.f64 1 (/.f64 (*.f64 x.re y.re) (*.f64 x.im (neg.f64 y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))) (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))) 2) (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (neg.f64 y.im))) 2) (+.f64 (cbrt.f64 (*.f64 x.im (neg.f64 y.im))) (/.f64 (*.f64 x.re y.re) (pow.f64 (cbrt.f64 (*.f64 x.im (neg.f64 y.im))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))) (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x.im (neg.f64 y.im))) (+.f64 (sqrt.f64 (*.f64 x.im (neg.f64 y.im))) (/.f64 (*.f64 x.re y.re) (sqrt.f64 (*.f64 x.im (neg.f64 y.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))) 3) (+.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))) 2) (+.f64 0 (*.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))) 3) (+.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))) 2) (-.f64 0 (*.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x.re y.re) 3) (pow.f64 (*.f64 x.im (neg.f64 y.im)) 3)) (+.f64 (*.f64 (*.f64 x.re y.re) (*.f64 x.re y.re)) (-.f64 (pow.f64 (*.f64 x.im (neg.f64 y.im)) 2) (*.f64 (*.f64 x.re y.re) (*.f64 x.im (neg.f64 y.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im)))))))))

simplify34.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

693×	`rules-20_binary64`
359×	`rules-10-rev_binary64`
349×	`rules-4_binary64`
261×	`rules-11_binary64`
207×	`rules-13_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	426
1	22	420
2	43	420
3	109	420
4	430	420
5	2236	420

Stop Event

1×	node limit

Counts

83 → 40

Calls

Call 1

Inputs
(.f64 -1 (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(*.f64 x.re y.re)
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(*.f64 x.re y.re)
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(.f64 -1 (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(*.f64 x.re y.re)
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(*.f64 x.re y.re)
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(*.f64 x.re y.re)
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(.f64 -1 (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(.f64 -1 (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(*.f64 x.re y.re)
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(.f64 -1 (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(.f64 -1 (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))

Outputs
(.f64 -1 (.f64 y.im x.im))
(*.f64 y.im (neg.f64 x.im))
(*.f64 x.im (neg.f64 y.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(*.f64 x.re y.re)
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(*.f64 x.re y.re)
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(.f64 -1 (.f64 y.im x.im))
(*.f64 y.im (neg.f64 x.im))
(*.f64 x.im (neg.f64 y.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(*.f64 x.re y.re)
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(*.f64 x.re y.re)
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(*.f64 x.re y.re)
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(.f64 -1 (.f64 y.im x.im))
(*.f64 y.im (neg.f64 x.im))
(*.f64 x.im (neg.f64 y.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(.f64 -1 (.f64 y.im x.im))
(*.f64 y.im (neg.f64 x.im))
(*.f64 x.im (neg.f64 y.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(*.f64 x.re y.re)
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(.f64 -1 (.f64 y.im x.im))
(*.f64 y.im (neg.f64 x.im))
(*.f64 x.im (neg.f64 y.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(.f64 -1 (.f64 y.im x.im))
(*.f64 y.im (neg.f64 x.im))
(*.f64 x.im (neg.f64 y.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))

prune17.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	2	41

Error

Counts

41 → 2

Alt Table

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

Compiler

Compiled 525 to 152 computations (71% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series11.0ms (0.5%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y.re	@	inf	(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
1.0ms	x.re	@	-inf	(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
1.0ms	y.re	@	-inf	(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
1.0ms	x.im	@	inf	(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))
1.0ms	x.im	@	-inf	(fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))

rewrite36.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`rules-40_binary64`
854×	`rules-41_binary64`
854×	`rules-42_binary64`
854×	`rules-43_binary64`
83×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	185	10
2	2386	10

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x.re y.re) (.f64 x.im (neg.f64 y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x.re y.re) (+.f64 0 (.f64 x.im (neg.f64 y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x.im (neg.f64 y.im)) (.f64 x.re y.re))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x.re y.re) (-.f64 0 (.f64 x.im (neg.f64 y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x.re (+.f64 y.re (/.f64 (.f64 x.im (neg.f64 y.im)) x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y.re (+.f64 x.re (/.f64 (.f64 x.im (neg.f64 y.im)) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x.re y.re) (+.f64 1 (/.f64 (.f64 x.im (neg.f64 y.im)) (.f64 x.re y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re))) (pow.f64 (cbrt.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re))) 2) (cbrt.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x.re y.re)) 2) (+.f64 (cbrt.f64 (.f64 x.re y.re)) (/.f64 (.f64 x.im (neg.f64 y.im)) (pow.f64 (cbrt.f64 (.f64 x.re y.re)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re))) (sqrt.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x.re y.re)) (+.f64 (sqrt.f64 (.f64 x.re y.re)) (/.f64 (.f64 x.im (neg.f64 y.im)) (sqrt.f64 (.f64 x.re y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re)) 3) (+.f64 (pow.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re)) 2) (+.f64 0 (.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re)) 3) (+.f64 (pow.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re)) 2) (-.f64 0 (.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x.im (neg.f64 y.im)) 3) (pow.f64 (.f64 x.re y.re) 3)) (+.f64 (.f64 (.f64 x.im (neg.f64 y.im)) (.f64 x.im (neg.f64 y.im))) (-.f64 (pow.f64 (.f64 x.re y.re) 2) (.f64 (.f64 x.im (neg.f64 y.im)) (.f64 x.re y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 x.re y.re))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x.re y.re) (*.f64 x.im (neg.f64 y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x.re y.re) (+.f64 0 (*.f64 x.im (neg.f64 y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x.im (neg.f64 y.im)) (*.f64 x.re y.re))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x.re y.re) (-.f64 0 (*.f64 x.im (neg.f64 y.im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x.re (+.f64 y.re (/.f64 (*.f64 x.im (neg.f64 y.im)) x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x.re y.re) (+.f64 1 (/.f64 (*.f64 x.im (neg.f64 y.im)) (*.f64 x.re y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))) (pow.f64 (cbrt.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))) 2) (cbrt.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x.re y.re)) 2) (+.f64 (cbrt.f64 (*.f64 x.re y.re)) (/.f64 (*.f64 x.im (neg.f64 y.im)) (pow.f64 (cbrt.f64 (*.f64 x.re y.re)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))) (sqrt.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x.re y.re)) (+.f64 (sqrt.f64 (*.f64 x.re y.re)) (/.f64 (*.f64 x.im (neg.f64 y.im)) (sqrt.f64 (*.f64 x.re y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re)) 3) (+.f64 (pow.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re)) 2) (+.f64 0 (*.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re)) 3) (+.f64 (pow.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re)) 2) (-.f64 0 (*.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x.im (neg.f64 y.im)) 3) (pow.f64 (*.f64 x.re y.re) 3)) (+.f64 (*.f64 (*.f64 x.im (neg.f64 y.im)) (*.f64 x.im (neg.f64 y.im))) (-.f64 (pow.f64 (*.f64 x.re y.re) 2) (*.f64 (*.f64 x.im (neg.f64 y.im)) (*.f64 x.re y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 x.re y.re))))))))

simplify33.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

694×	`rules-20_binary64`
359×	`rules-10-rev_binary64`
349×	`rules-4_binary64`
261×	`rules-11_binary64`
207×	`rules-13_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	426
1	22	420
2	43	420
3	109	420
4	430	420
5	2237	420

Stop Event

1×	node limit

Counts

83 → 39

Calls

Call 1

Inputs
(*.f64 x.re y.re)
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(.f64 -1 (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(.f64 -1 (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(*.f64 x.re y.re)
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(.f64 -1 (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(.f64 -1 (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(.f64 -1 (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(*.f64 x.re y.re)
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(*.f64 x.re y.re)
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(.f64 -1 (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(*.f64 x.re y.re)
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(*.f64 x.re y.re)
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))

Outputs
(*.f64 x.re y.re)
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(.f64 -1 (.f64 y.im x.im))
(.f64 y.im (.f64 x.im -1))
(*.f64 y.im (neg.f64 x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(.f64 -1 (.f64 y.im x.im))
(.f64 y.im (.f64 x.im -1))
(*.f64 y.im (neg.f64 x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(*.f64 x.re y.re)
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(.f64 -1 (.f64 y.im x.im))
(.f64 y.im (.f64 x.im -1))
(*.f64 y.im (neg.f64 x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(.f64 -1 (.f64 y.im x.im))
(.f64 y.im (.f64 x.im -1))
(*.f64 y.im (neg.f64 x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(.f64 -1 (.f64 y.im x.im))
(.f64 y.im (.f64 x.im -1))
(*.f64 y.im (neg.f64 x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(*.f64 x.re y.re)
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(*.f64 x.re y.re)
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(.f64 -1 (.f64 y.im x.im))
(.f64 y.im (.f64 x.im -1))
(*.f64 y.im (neg.f64 x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(*.f64 x.re y.re)
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(*.f64 x.re y.re)
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))
(-.f64 (.f64 x.re y.re) (.f64 y.im x.im))

prune15.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	39	2	41

Error

Counts

41 → 2

Alt Table

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

Compiler

Compiled 502 to 146 computations (70.9% saved)

regimes62.0ms (2.8%)

Accuracy

Total 0.0b remaining (97.4%)

Threshold costs 0.0b (97.4%)

Counts

7 → 1

Compiler

Compiled 577 to 403 computations (30.2% saved)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10

Stop Event

1×

saturated

Calls

Call 1

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

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

end53.0ms (2.4%)

Stop Event

1×

done

Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 88 to 56 computations (36.4% saved)

Details

analyze799.0ms (36.6%)

sample988.0ms (45.3%)

preprocess40.0ms (1.8%)

simplify29.0ms (1.3%)

prune7.0ms (0.3%)

localize5.0ms (0.2%)

series9.0ms (0.4%)

rewrite38.0ms (1.8%)

simplify34.0ms (1.6%)

prune17.0ms (0.8%)

localize5.0ms (0.2%)

series11.0ms (0.5%)

rewrite36.0ms (1.7%)

simplify33.0ms (1.5%)

prune15.0ms (0.7%)

regimes62.0ms (2.8%)

simplify1.0ms (0%)

end53.0ms (2.4%)

Profiling