Metrics for _multiplyComplex, imaginary part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 9 to 9 computations (0% saved)

sample684.0ms (21.9%)

Memory

12.9MiB live, 827.4MiB allocated

Samples

438.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-mult: 170.0ms (74.6% of total)

ival-add: 49.0ms (21.5% of total)

ival-true: 6.0ms (2.6% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain84.0ms (2.7%)

Memory

-3.5MiB live, 84.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
0	-	-	`(*.f64 x.im y.re)`
0	-	-	`x.re`
0	-	-	`y.re`
0	-	-	`(*.f64 x.re y.im)`
0	-	-	`y.im`
0	-	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`	nan-rescue	1	0
↳	`(*.f64 x.re y.im)`	overflow	25
↳	`(*.f64 x.im y.re)`	overflow	23

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 10.0ms (78.8% of total)

ival-add: 2.0ms (15.8% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess50.0ms (1.6%)

Memory

-2.9MiB live, 31.6MiB allocated

Algorithm

1×	egg-herbie

Rules

136×	`unsub-neg`
94×	`associate-r`
80×	`distribute-lft-neg-out`
70×	`distribute-lft-neg-in`
60×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	106
1	74	98
2	129	98
3	295	98
4	442	98
5	574	98
6	625	98
7	639	98
0	7	7
0	10	7
1	13	7
0	13	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(sort x.re y.im)

(sort x.im y.re)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x.im y.re)
cost-diff	0	(*.f64 x.re y.im)
cost-diff	128	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Rules

8×	`lower-fma.f64`
8×	`lower-fma.f32`
8×	`lower-*.f32`
4×	`*-commutative`
4×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	13	17
0	13	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
(*.f64 x.re y.im)
x.re
y.im
(*.f64 x.im y.re)
x.im
y.re

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

localize22.0ms (0.7%)

Memory

4.7MiB live, 41.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x.re y.im)
accuracy	0	(*.f64 x.im y.re)
accuracy	0.2617166858302058	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Samples

18.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (62% of total)

ival-add: 1.0ms (20.7% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series15.0ms (0.5%)

Memory

-44.8MiB live, 18.3MiB allocated

Counts

3 → 96

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())
#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())
#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())

Inputs

#s(alt (+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) (patch (+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) #<representation binary64>) () ())

#s(alt (*.f64 x.re y.im) (patch (*.f64 x.re y.im) #<representation binary64>) () ())

#s(alt (*.f64 x.im y.re) (patch (*.f64 x.im y.re) #<representation binary64>) () ())

Outputs
#s(alt (* x.im y.re) (taylor 0 y.im) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 y.im) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 y.im) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 y.im) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor 0 y.im) (#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor 0 y.im) (#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor 0 y.im) (#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor 0 y.im) (#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor inf y.im) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* y.im (+ x.re (/ (* x.im y.re) y.im))) (taylor inf y.im) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* y.im (+ x.re (/ (* x.im y.re) y.im))) (taylor inf y.im) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* y.im (+ x.re (/ (* x.im y.re) y.im))) (taylor inf y.im) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor inf y.im) (#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor inf y.im) (#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor inf y.im) (#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor inf y.im) (#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor -inf y.im) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im))))) (taylor -inf y.im) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im))))) (taylor -inf y.im) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im))))) (taylor -inf y.im) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor -inf y.im) (#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor -inf y.im) (#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor -inf y.im) (#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor -inf y.im) (#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor 0 y.re) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 y.re) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 y.re) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 y.re) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor 0 y.re) (#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor 0 y.re) (#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor 0 y.re) (#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor 0 y.re) (#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor inf y.re) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* y.re (+ x.im (/ (* x.re y.im) y.re))) (taylor inf y.re) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* y.re (+ x.im (/ (* x.re y.im) y.re))) (taylor inf y.re) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* y.re (+ x.im (/ (* x.re y.im) y.re))) (taylor inf y.re) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor inf y.re) (#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor inf y.re) (#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor inf y.re) (#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor inf y.re) (#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor -inf y.re) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re))))) (taylor -inf y.re) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re))))) (taylor -inf y.re) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re))))) (taylor -inf y.re) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor -inf y.re) (#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor -inf y.re) (#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor -inf y.re) (#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor -inf y.re) (#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor 0 x.im) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 x.im) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 x.im) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 x.im) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor 0 x.im) (#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor 0 x.im) (#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor 0 x.im) (#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor 0 x.im) (#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor inf x.im) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ y.re (/ (* x.re y.im) x.im))) (taylor inf x.im) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ y.re (/ (* x.re y.im) x.im))) (taylor inf x.im) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ y.re (/ (* x.re y.im) x.im))) (taylor inf x.im) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor inf x.im) (#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor inf x.im) (#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor inf x.im) (#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor inf x.im) (#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor -inf x.im) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im))))) (taylor -inf x.im) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im))))) (taylor -inf x.im) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im))))) (taylor -inf x.im) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor -inf x.im) (#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor -inf x.im) (#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor -inf x.im) (#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor -inf x.im) (#s(alt (.f64 x.im y.re) (patch (.f64 x.im y.re) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor 0 x.re) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 x.re) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 x.re) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 x.re) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor 0 x.re) (#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor 0 x.re) (#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor 0 x.re) (#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor 0 x.re) (#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor inf x.re) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ y.im (/ (* x.im y.re) x.re))) (taylor inf x.re) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ y.im (/ (* x.im y.re) x.re))) (taylor inf x.re) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ y.im (/ (* x.im y.re) x.re))) (taylor inf x.re) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor inf x.re) (#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor inf x.re) (#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor inf x.re) (#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor inf x.re) (#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor -inf x.re) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re))))) (taylor -inf x.re) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re))))) (taylor -inf x.re) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re))))) (taylor -inf x.re) (#s(alt (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (patch (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor -inf x.re) (#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor -inf x.re) (#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor -inf x.re) (#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor -inf x.re) (#s(alt (.f64 x.re y.im) (patch (.f64 x.re y.im) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x.re	@	inf	((+ (* x.re y.im) (* x.im y.re)) (* x.re y.im) (* x.im y.re))
1.0ms	y.re	@	inf	((+ (* x.re y.im) (* x.im y.re)) (* x.re y.im) (* x.im y.re))
1.0ms	y.im	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* x.re y.im) (* x.im y.re))
1.0ms	y.im	@	inf	((+ (* x.re y.im) (* x.im y.re)) (* x.re y.im) (* x.im y.re))
1.0ms	y.re	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* x.re y.im) (* x.im y.re))

simplify136.0ms (4.4%)

Memory

29.1MiB live, 139.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 166×	`lower-fma.f64`
4 166×	`lower-fma.f32`
2 650×	`lower-*.f64`
2 650×	`lower-*.f32`
1 394×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	432
1	149	432
2	468	432
3	1239	432
4	3382	432
5	5692	432
6	7184	432
0	8040	396

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* x.im y.re)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.re y.im)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)

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

rewrite223.0ms (7.1%)

Memory

4.0MiB live, 310.0MiB allocated

Rules

11 460×	`lower-fma.f64`
11 460×	`lower-fma.f32`
4 138×	`lower-*.f32`
4 134×	`lower-*.f64`
4 012×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	26	13
2	182	13
3	1813	13
0	8222	12

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

3 → 175

Calls

Call 1

Inputs
(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
(*.f64 x.re y.im)
(*.f64 x.im y.re)

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (*.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 y.re x.im) #s(literal 3 binary64))) #s(literal -1 binary64)))
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(-.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im))) (neg.f64 (fma.f64 y.re x.im (.f64 y.im x.re))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))))) (neg.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) x.re) y.im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)))) (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)))) (fma.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (.f64 y.re x.im) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))))
(-.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))
(-.f64 (.f64 y.im x.re) (.f64 (neg.f64 y.re) x.im))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 y.re x.im (.f64 y.im x.re)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)))))
(+.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)))))
(+.f64 (.f64 y.re x.im) (.f64 y.im x.re))
(+.f64 (.f64 y.im x.re) (.f64 y.re x.im))
(*.f64 (exp.f64 (log.f64 x.re)) (exp.f64 (log.f64 y.im)))
(*.f64 (exp.f64 (log.f64 y.im)) (exp.f64 (log.f64 x.re)))
(*.f64 (pow.f64 y.im #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)))
(*.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 y.im #s(literal 1 binary64)))
(*.f64 y.im x.re)
(*.f64 x.re y.im)
(pow.f64 (*.f64 y.im x.re) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y.im x.re)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y.im x.re)))
(*.f64 (exp.f64 (log.f64 x.im)) (exp.f64 (log.f64 y.re)))
(*.f64 (exp.f64 (log.f64 y.re)) (exp.f64 (log.f64 x.im)))
(*.f64 (pow.f64 y.re #s(literal 1 binary64)) (pow.f64 x.im #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 1 binary64)) (pow.f64 y.re #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y.re) x.im))
(*.f64 y.re x.im)
(*.f64 x.im y.re)
(pow.f64 (*.f64 y.re x.im) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 y.re) x.im))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y.re) x.im))
(exp.f64 (.f64 (log.f64 (.f64 y.re x.im)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y.re x.im)))

eval371.0ms (11.9%)

Memory: -230.7MiB live, 55.8MiB allocated
Compiler: Compiled 6 763 to 490 computations (92.8% saved)

prune5.0ms (0.2%)

Memory

11.3MiB live, 11.3MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	267	4	271
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	268	4	272

Accuracy

100.0%

Counts

272 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y.re x.im (*.f64 y.im x.re))
▶	99.6%	(fma.f64 y.im x.re (*.f64 y.re x.im))
▶	48.9%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
▶	54.1%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Compiler

Compiled 20 to 24 computations (-20% saved)

simplify4.0ms (0.1%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y.im x.re)
cost-diff	0	(fma.f64 y.re x.im (*.f64 y.im x.re))
cost-diff	0	(*.f64 y.re x.im)
cost-diff	0	(fma.f64 y.im x.re (*.f64 y.re x.im))
cost-diff	0	(*.f64 y.re x.im)
cost-diff	0	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
cost-diff	0	(*.f64 y.im x.re)
cost-diff	0	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Rules

8×	`lower-fma.f32`
8×	`lower-*.f32`
4×	`*-commutative`
4×	`lower-*.f64`
4×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	58
0	17	56
1	18	56
0	18	56

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))
(*.f64 y.im x.re)
y.im
x.re
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
(*.f64 y.re x.im)
y.re
x.im
(fma.f64 y.im x.re (*.f64 y.re x.im))
y.im
x.re
(*.f64 y.re x.im)
y.re
x.im
(fma.f64 y.re x.im (*.f64 y.im x.re))
y.re
x.im
(*.f64 y.im x.re)
y.im
x.re

Outputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))
(*.f64 y.im x.re)
y.im
x.re
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
(*.f64 y.re x.im)
y.re
x.im
(fma.f64 y.im x.re (*.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 y.im x.re))
y.im
x.re
(*.f64 y.re x.im)
y.re
x.im
(fma.f64 y.re x.im (*.f64 y.im x.re))
y.re
x.im
(*.f64 y.im x.re)
y.im
x.re

localize111.0ms (3.6%)

Memory

-18.1MiB live, 27.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y.im x.re)
accuracy	0.0078125	(fma.f64 y.re x.im (*.f64 y.im x.re))
accuracy	0	(*.f64 y.re x.im)
accuracy	0.2539034976055602	(fma.f64 y.im x.re (*.f64 y.re x.im))
accuracy	0	(*.f64 y.re x.im)
accuracy	32.68304504373441	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
accuracy	0	(*.f64 y.im x.re)
accuracy	29.363007122715274	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Samples

103.0ms

256×

valid

Compiler

Compiled 54 to 13 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-add: 86.0ms (92.4% of total)

ival-mult: 6.0ms (6.4% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series14.0ms (0.4%)

Memory

-16.3MiB live, 18.8MiB allocated

Counts

6 → 240

Calls

Call 1

Inputs
#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.im x.re)) #<representation binary64>) () ())
#s(alt (.f64 y.im x.re) (patch (.f64 y.im x.re) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.re x.im)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.re x.im)) #<representation binary64>) () ())
#s(alt (.f64 y.re x.im) (patch (.f64 y.re x.im) #<representation binary64>) () ())
#s(alt (fma.f64 y.im x.re (.f64 y.re x.im)) (patch (fma.f64 y.im x.re (.f64 y.re x.im)) #<representation binary64>) () ())
#s(alt (fma.f64 y.re x.im (.f64 y.im x.re)) (patch (fma.f64 y.re x.im (.f64 y.im x.re)) #<representation binary64>) () ())

Outputs
#s(alt (* x.im y.re) (taylor 0 y.im) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 y.im) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 y.im) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 y.im) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor 0 y.im) (#s(alt (.f64 y.im x.re) (patch (.f64 y.im x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor 0 y.im) (#s(alt (.f64 y.im x.re) (patch (.f64 y.im x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor 0 y.im) (#s(alt (.f64 y.im x.re) (patch (.f64 y.im x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor 0 y.im) (#s(alt (.f64 y.im x.re) (patch (.f64 y.im x.re) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor 0 y.im) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.re x.im)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 y.im) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.re x.im)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 y.im) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.re x.im)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 y.im) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.re x.im)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor 0 y.im) (#s(alt (fma.f64 y.im x.re (.f64 y.re x.im)) (patch (fma.f64 y.im x.re (.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 y.im) (#s(alt (fma.f64 y.im x.re (.f64 y.re x.im)) (patch (fma.f64 y.im x.re (.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 y.im) (#s(alt (fma.f64 y.im x.re (.f64 y.re x.im)) (patch (fma.f64 y.im x.re (.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 y.im) (#s(alt (fma.f64 y.im x.re (.f64 y.re x.im)) (patch (fma.f64 y.im x.re (.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor 0 y.im) (#s(alt (fma.f64 y.re x.im (.f64 y.im x.re)) (patch (fma.f64 y.re x.im (.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 y.im) (#s(alt (fma.f64 y.re x.im (.f64 y.im x.re)) (patch (fma.f64 y.re x.im (.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 y.im) (#s(alt (fma.f64 y.re x.im (.f64 y.im x.re)) (patch (fma.f64 y.re x.im (.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 y.im) (#s(alt (fma.f64 y.re x.im (.f64 y.im x.re)) (patch (fma.f64 y.re x.im (.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor inf y.im) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* y.im (+ x.re (/ (* x.im y.re) y.im))) (taylor inf y.im) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* y.im (+ x.re (/ (* x.im y.re) y.im))) (taylor inf y.im) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* y.im (+ x.re (/ (* x.im y.re) y.im))) (taylor inf y.im) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor inf y.im) (#s(alt (.f64 y.im x.re) (patch (.f64 y.im x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor inf y.im) (#s(alt (.f64 y.im x.re) (patch (.f64 y.im x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor inf y.im) (#s(alt (.f64 y.im x.re) (patch (.f64 y.im x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor inf y.im) (#s(alt (.f64 y.im x.re) (patch (.f64 y.im x.re) #<representation binary64>) () ())) ())
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#s(alt (* y.im (+ x.re (/ (* x.im y.re) y.im))) (taylor inf y.im) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.re x.im)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.re x.im)) #<representation binary64>) () ())) ())
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#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 x.re) (#s(alt (fma.f64 y.im x.re (.f64 y.re x.im)) (patch (fma.f64 y.im x.re (.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 x.re) (#s(alt (fma.f64 y.im x.re (.f64 y.re x.im)) (patch (fma.f64 y.im x.re (.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.im y.re) (taylor 0 x.re) (#s(alt (fma.f64 y.re x.im (.f64 y.im x.re)) (patch (fma.f64 y.re x.im (.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 x.re) (#s(alt (fma.f64 y.re x.im (.f64 y.im x.re)) (patch (fma.f64 y.re x.im (.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 x.re) (#s(alt (fma.f64 y.re x.im (.f64 y.im x.re)) (patch (fma.f64 y.re x.im (.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im y.re) (* x.re y.im)) (taylor 0 x.re) (#s(alt (fma.f64 y.re x.im (.f64 y.im x.re)) (patch (fma.f64 y.re x.im (.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor inf x.re) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ y.im (/ (* x.im y.re) x.re))) (taylor inf x.re) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ y.im (/ (* x.im y.re) x.re))) (taylor inf x.re) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ y.im (/ (* x.im y.re) x.re))) (taylor inf x.re) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor inf x.re) (#s(alt (.f64 y.im x.re) (patch (.f64 y.im x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor inf x.re) (#s(alt (.f64 y.im x.re) (patch (.f64 y.im x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor inf x.re) (#s(alt (.f64 y.im x.re) (patch (.f64 y.im x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor inf x.re) (#s(alt (.f64 y.im x.re) (patch (.f64 y.im x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor inf x.re) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.re x.im)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ y.im (/ (* x.im y.re) x.re))) (taylor inf x.re) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.re x.im)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ y.im (/ (* x.im y.re) x.re))) (taylor inf x.re) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.re x.im)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ y.im (/ (* x.im y.re) x.re))) (taylor inf x.re) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.re x.im)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor inf x.re) (#s(alt (fma.f64 y.im x.re (.f64 y.re x.im)) (patch (fma.f64 y.im x.re (.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ y.im (/ (* x.im y.re) x.re))) (taylor inf x.re) (#s(alt (fma.f64 y.im x.re (.f64 y.re x.im)) (patch (fma.f64 y.im x.re (.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ y.im (/ (* x.im y.re) x.re))) (taylor inf x.re) (#s(alt (fma.f64 y.im x.re (.f64 y.re x.im)) (patch (fma.f64 y.im x.re (.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ y.im (/ (* x.im y.re) x.re))) (taylor inf x.re) (#s(alt (fma.f64 y.im x.re (.f64 y.re x.im)) (patch (fma.f64 y.im x.re (.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor inf x.re) (#s(alt (fma.f64 y.re x.im (.f64 y.im x.re)) (patch (fma.f64 y.re x.im (.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ y.im (/ (* x.im y.re) x.re))) (taylor inf x.re) (#s(alt (fma.f64 y.re x.im (.f64 y.im x.re)) (patch (fma.f64 y.re x.im (.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ y.im (/ (* x.im y.re) x.re))) (taylor inf x.re) (#s(alt (fma.f64 y.re x.im (.f64 y.im x.re)) (patch (fma.f64 y.re x.im (.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ y.im (/ (* x.im y.re) x.re))) (taylor inf x.re) (#s(alt (fma.f64 y.re x.im (.f64 y.im x.re)) (patch (fma.f64 y.re x.im (.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor -inf x.re) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re))))) (taylor -inf x.re) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re))))) (taylor -inf x.re) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re))))) (taylor -inf x.re) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor -inf x.re) (#s(alt (.f64 y.im x.re) (patch (.f64 y.im x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor -inf x.re) (#s(alt (.f64 y.im x.re) (patch (.f64 y.im x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor -inf x.re) (#s(alt (.f64 y.im x.re) (patch (.f64 y.im x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor -inf x.re) (#s(alt (.f64 y.im x.re) (patch (.f64 y.im x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor -inf x.re) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.re x.im)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re))))) (taylor -inf x.re) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.re x.im)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re))))) (taylor -inf x.re) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.re x.im)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re))))) (taylor -inf x.re) (#s(alt #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.re x.im)) (patch #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor -inf x.re) (#s(alt (fma.f64 y.im x.re (.f64 y.re x.im)) (patch (fma.f64 y.im x.re (.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re))))) (taylor -inf x.re) (#s(alt (fma.f64 y.im x.re (.f64 y.re x.im)) (patch (fma.f64 y.im x.re (.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re))))) (taylor -inf x.re) (#s(alt (fma.f64 y.im x.re (.f64 y.re x.im)) (patch (fma.f64 y.im x.re (.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re))))) (taylor -inf x.re) (#s(alt (fma.f64 y.im x.re (.f64 y.re x.im)) (patch (fma.f64 y.im x.re (.f64 y.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re y.im) (taylor -inf x.re) (#s(alt (fma.f64 y.re x.im (.f64 y.im x.re)) (patch (fma.f64 y.re x.im (.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re))))) (taylor -inf x.re) (#s(alt (fma.f64 y.re x.im (.f64 y.im x.re)) (patch (fma.f64 y.re x.im (.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re))))) (taylor -inf x.re) (#s(alt (fma.f64 y.re x.im (.f64 y.im x.re)) (patch (fma.f64 y.re x.im (.f64 y.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re))))) (taylor -inf x.re) (#s(alt (fma.f64 y.re x.im (.f64 y.im x.re)) (patch (fma.f64 y.re x.im (.f64 y.im x.re)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y.re	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re) (+ (* x.re y.im) (* x.im y.re)) (* y.re x.im) (+ (* y.im x.re) (* y.re x.im)) (+ (* y.re x.im) (* y.im x.re)))
0.0ms	y.im	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re) (+ (* x.re y.im) (* x.im y.re)) (* y.re x.im) (+ (* y.im x.re) (* y.re x.im)) (+ (* y.re x.im) (* y.im x.re)))
0.0ms	x.im	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re) (+ (* x.re y.im) (* x.im y.re)) (* y.re x.im) (+ (* y.im x.re) (* y.re x.im)) (+ (* y.re x.im) (* y.im x.re)))
0.0ms	x.re	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re) (+ (* x.re y.im) (* x.im y.re)) (* y.re x.im) (+ (* y.im x.re) (* y.re x.im)) (+ (* y.re x.im) (* y.im x.re)))
0.0ms	y.im	@	inf	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re) (+ (* x.re y.im) (* x.im y.re)) (* y.re x.im) (+ (* y.im x.re) (* y.re x.im)) (+ (* y.re x.im) (* y.im x.re)))

simplify117.0ms (3.7%)

Memory

15.9MiB live, 99.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4 166×	`lower-fma.f64`
4 166×	`lower-fma.f32`
2 650×	`lower-*.f64`
2 650×	`lower-*.f32`
1 394×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	1296
1	149	1296
2	468	1296
3	1239	1296
4	3382	1296
5	5692	1296
6	7184	1296
0	8040	1152

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(* x.im y.re)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.im y.re)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.im y.re)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.im y.re)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.re y.im)
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* x.re y.im)
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* x.re y.im)
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* x.re y.im)
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(* x.re y.im)
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(* x.re y.im)
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(* x.re y.im)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.re y.im)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.re y.im)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.re y.im)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.im y.re)
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* x.im y.re)
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* x.im y.re)
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* x.im y.re)
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* x.im y.re)
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* x.im y.re)
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* x.re y.im)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.re y.im)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.re y.im)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.re y.im)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.im y.re)
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* x.im y.re)
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* x.im y.re)
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* x.im y.re)
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* x.im y.re)
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* x.im y.re)
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* x.im y.re)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.im y.re)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.im y.re)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.im y.re)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.re y.im)
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* x.re y.im)
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* x.re y.im)
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* x.re y.im)
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* x.re y.im)
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* x.re y.im)
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))

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

rewrite209.0ms (6.7%)

Memory

-4.1MiB live, 260.7MiB allocated

Rules

6 532×	`lower-fma.f32`
6 528×	`lower-fma.f64`
4 258×	`lower-*.f32`
4 254×	`lower-*.f64`
3 666×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
0	17	38
1	57	38
2	299	38
3	3188	38
0	8154	38

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 420

Calls

Call 1

Inputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))
(*.f64 y.im x.re)
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
(*.f64 y.re x.im)
(fma.f64 y.im x.re (*.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 y.im x.re))

Outputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))
(*.f64 (exp.f64 (log.f64 x.re)) (exp.f64 (log.f64 y.im)))
(*.f64 (exp.f64 (log.f64 y.im)) (exp.f64 (log.f64 x.re)))
(*.f64 (pow.f64 y.im #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)))
(*.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 y.im #s(literal 1 binary64)))
(*.f64 y.im x.re)
(*.f64 x.re y.im)
(pow.f64 (*.f64 y.im x.re) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y.im x.re)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y.im x.re)))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
(*.f64 (exp.f64 (log.f64 y.re)) (exp.f64 (log.f64 x.im)))
(*.f64 (exp.f64 (log.f64 x.im)) (exp.f64 (log.f64 y.re)))
(*.f64 (pow.f64 y.re #s(literal 1 binary64)) (pow.f64 x.im #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 1 binary64)) (pow.f64 y.re #s(literal 1 binary64)))
(*.f64 y.re x.im)
(*.f64 x.im y.re)
(pow.f64 (*.f64 y.re x.im) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y.re x.im)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y.re x.im)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (*.f64 y.re x.im) y.im) x.re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (*.f64 y.re x.im) y.im) x.re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (.f64 y.im x.re) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (.f64 y.im x.re) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (.f64 y.im x.re) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 9 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (*.f64 y.re x.im) y.im) x.re) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (.f64 y.im x.re) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 9 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (*.f64 y.re x.im) y.im) x.re) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)))) (fma.f64 (.f64 y.re x.im) (fma.f64 y.re x.im (.f64 y.im x.re)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)))) (fma.f64 (.f64 y.re x.im) (fma.f64 y.re x.im (.f64 y.im x.re)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (.f64 y.re x.im)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (*.f64 y.re x.im))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (.f64 y.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (.f64 y.re x.im)) (-.f64 (.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (.f64 y.re x.im)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (pow.f64 (*.f64 y.im x.re) #s(literal 4 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (.f64 y.im x.re)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (*.f64 y.im x.re))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (.f64 y.im x.re)) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (.f64 y.im x.re)) (-.f64 (.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (.f64 y.im x.re)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) (pow.f64 (*.f64 y.re x.im) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)))) (fma.f64 y.re x.im (.f64 y.im x.re)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)))) (fma.f64 y.re x.im (.f64 y.im x.re)))
(.f64 (pow.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (.f64 y.im x.re) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (.f64 y.im x.re) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 y.re x.im (.f64 y.im x.re)))
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(-.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (+.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) y.im) x.re) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)) (+.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) y.im) x.re) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (.f64 (fma.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (.f64 y.im x.re) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (.f64 (fma.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (.f64 y.im x.re) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (.f64 y.im x.re) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))))) (/.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (.f64 y.im x.re) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) y.im) x.re) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) y.im) x.re) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im))) (/.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) y.im) x.re) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im))) (/.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 4 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y.re x.im) y.im) x.re) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (.f64 y.im x.re) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (.f64 y.im x.re) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (.f64 y.im x.re) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)) (.f64 y.im x.re) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)))) (/.f64 (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64))) (neg.f64 (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)))) (/.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64))) (neg.f64 (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)))))
(-.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))))
(-.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im))) (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im))))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 y.re x.im (.f64 y.im x.re)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re))) (neg.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.re) x.im (.f64 y.im x.re)))))
(+.f64 (/.f64 (pow.f64 (.f64 y.re x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im))) (neg.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 y.im) x.re (.f64 y.re x.im)))))
(+.f64 (.f64 y.re x.im) (.f64 y.im x.re))
(+.f64 (.f64 y.im x.re) (.f64 y.re x.im))

eval108.0ms (3.5%)

Memory: 23.5MiB live, 176.6MiB allocated
Compiler: Compiled 17 630 to 694 computations (96.1% saved)

prune24.0ms (0.8%)

Memory

-17.0MiB live, 69.5MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	726	0	726
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	726	4	730

Accuracy

100.0%

Counts

730 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y.re x.im (*.f64 y.im x.re))
✓	99.6%	(fma.f64 y.im x.re (*.f64 y.re x.im))
✓	48.9%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
✓	54.1%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes28.0ms (0.9%)

Memory

-0.1MiB live, 39.2MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

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

Calls

7 calls:

14.0ms	x.im
2.0ms	(*.f64 x.im y.re)
2.0ms	y.im
2.0ms	x.re
2.0ms	y.re

Results

Accuracy	Segments	Branch
100.0%	1	`x.re`
100.0%	1	`x.im`
100.0%	1	`y.re`
100.0%	1	`y.im`
100.0%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
100.0%	1	`(*.f64 x.re y.im)`
100.0%	1	`(*.f64 x.im y.re)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes14.0ms (0.4%)

Memory

22.5MiB live, 22.5MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
(fma.f64 y.im x.re (*.f64 y.re x.im))

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

Calls

7 calls:

2.0ms	(*.f64 x.im y.re)
2.0ms	x.re
2.0ms	y.re
2.0ms	y.im
2.0ms	x.im

Results

Accuracy	Segments	Branch
99.6%	1	`x.re`
99.6%	1	`x.im`
99.6%	1	`y.re`
99.6%	1	`y.im`
99.6%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
99.6%	1	`(*.f64 x.re y.im)`
99.6%	1	`(*.f64 x.im y.re)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes45.0ms (1.4%)

Memory

-17.7MiB live, 21.3MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))

Outputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))

Calls

7 calls:

35.0ms	y.im
2.0ms	y.re
2.0ms	x.re
2.0ms	(*.f64 x.re y.im)
2.0ms	x.im

Results

Accuracy	Segments	Branch
68.4%	3	`x.re`
71.7%	3	`x.im`
74.6%	3	`y.re`
71.9%	3	`y.im`
58.9%	2	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
76.1%	3	`(*.f64 x.re y.im)`
79.9%	3	`(*.f64 x.im y.re)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes9.0ms (0.3%)

Memory

21.4MiB live, 21.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Outputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Calls

7 calls:

1.0ms	x.im
1.0ms	y.re
1.0ms	x.re
1.0ms	y.im
1.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Results

Accuracy	Segments	Branch
54.1%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
54.1%	1	`x.re`
54.1%	1	`x.im`
54.1%	1	`y.im`
54.1%	1	`y.re`
54.1%	1	`(*.f64 x.re y.im)`
54.1%	1	`(*.f64 x.im y.re)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1764912502392148e-72	3.0202138813182968e-71
0.0ms	-1.0885798181802277e+126	-7.12211304389125e+118

Compiler

Compiled 10 to 14 computations (-40% saved)

simplify44.0ms (1.4%)

Memory

-15.2MiB live, 37.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	68
1	23	68

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(if (<=.f64 (.f64 x.im y.re) #s(literal -999999999999999924867761618992882042544670869834838461439225972225294199975793026603163493762817653751530058413655532282839040 binary64)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (.f64 y.re x.im)) (if (<=.f64 (.f64 x.im y.re) #s(literal 3978585891278293/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Outputs
(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(fma.f64 y.im x.re (*.f64 x.im y.re))
(if (<=.f64 (.f64 x.im y.re) #s(literal -999999999999999924867761618992882042544670869834838461439225972225294199975793026603163493762817653751530058413655532282839040 binary64)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (.f64 y.re x.im)) (if (<=.f64 (.f64 x.im y.re) #s(literal 3978585891278293/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))))
(if (<=.f64 (.f64 x.im y.re) #s(literal -999999999999999924867761618992882042544670869834838461439225972225294199975793026603163493762817653751530058413655532282839040 binary64)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (.f64 x.im y.re)) (if (<=.f64 (.f64 x.im y.re) #s(literal 3978585891278293/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 x.re y.im)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.re y.im))

soundness739.0ms (23.7%)

Memory

-16.5MiB live, 256.9MiB allocated

Rules

11 460×	`lower-fma.f64`
11 460×	`lower-fma.f32`
4 166×	`lower-fma.f64`
4 166×	`lower-fma.f32`
4 138×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	26	13
2	182	13
3	1813	13
0	8222	12
0	40	432
1	149	432
2	468	432
3	1239	432
4	3382	432
5	5692	432
6	7184	432
0	8040	396

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 87 to 51 computations (41.4% saved)

preprocess54.0ms (1.7%)

Memory

18.3MiB live, 131.1MiB allocated

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 190 to 142 computations (25.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	36	106
1	74	98
2	129	98
3	295	98
4	442	98
5	574	98
6	625	98
7	639	98
0	7	7
0	10	7
1	13	7
0	13	6

Iter	Nodes	Cost
0	36	106
1	74	98
2	129	98
3	295	98
4	442	98
5	574	98
6	625	98
7	639	98
0	7	7
0	10	7
1	13	7
0	13	6

start0.0ms (0%)

analyze0.0ms (0%)

sample684.0ms (21.9%)

explain84.0ms (2.7%)

preprocess50.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize22.0ms (0.7%)

series15.0ms (0.5%)

simplify136.0ms (4.4%)

rewrite223.0ms (7.1%)

eval371.0ms (11.9%)

prune5.0ms (0.2%)

simplify4.0ms (0.1%)

localize111.0ms (3.6%)

series14.0ms (0.4%)

simplify117.0ms (3.7%)

rewrite209.0ms (6.7%)

eval108.0ms (3.5%)

prune24.0ms (0.8%)

regimes28.0ms (0.9%)

regimes14.0ms (0.4%)

regimes45.0ms (1.4%)

regimes9.0ms (0.3%)

bsearch1.0ms (0%)

simplify44.0ms (1.4%)

soundness739.0ms (23.7%)

preprocess54.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	36	106
1	74	98
2	129	98
3	295	98
4	442	98
5	574	98
6	625	98
7	639	98
0	7	7
0	10	7
1	13	7
0	13	6