Metrics for _multiplyComplex, imaginary part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample966.0ms (40.1%)

Memory

24.7MiB live, 1 169.4MiB allocated

Samples

587.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 230.0ms

ival-mult: 134.0ms (58.3% of total)

ival-add: 87.0ms (37.9% of total)

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

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

Bogosity

explain88.0ms (3.7%)

Memory

1.0MiB live, 122.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
4	-	-	`(+.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	4	0
↳	`(*.f64 x.re y.im)`	overflow	33
↳	`(*.f64 x.im y.re)`	overflow	40

Confusion

	Predicted +	Predicted -
+	4	0
-	0	252

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	0
-	0	0	252

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms

512×

valid

Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (68.2% of total)

ival-add: 2.0ms (19.5% of total)

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

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

preprocess34.0ms (1.4%)

Memory

-24.1MiB live, 49.2MiB 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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB 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 (0.9%)

Memory

-9.7MiB live, 36.3MiB 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	0.8515604358302059	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Samples

17.0ms

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: 4.0ms (73.5% of total)

ival-add: 1.0ms (18.4% of total)

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

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

series8.0ms (0.3%)

Memory

17.9MiB live, 17.9MiB 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.re	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* x.re y.im) (* x.im y.re))
1.0ms	y.im	@	0	((+ (* x.re y.im) (* x.im y.re)) (* x.re y.im) (* x.im y.re))

simplify91.0ms (3.8%)

Memory

13.2MiB live, 128.2MiB 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)

rewrite189.0ms (7.8%)

Memory

-36.2MiB live, 367.7MiB 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
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
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#<batchref>
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#<batchref>
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#<batchref>
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#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval29.0ms (1.2%)

Memory: 7.0MiB live, 83.2MiB allocated
Compiler: Compiled 6 763 to 490 computations (92.8% saved)

prune5.0ms (0.2%)

Memory

23.3MiB live, 23.3MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	268	3	271
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	269	3	272

Accuracy

100.0%

Counts

272 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 y.im x.re (*.f64 y.re x.im))
▶	52.6%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
▶	50.0%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Compiler

Compiled 14 to 18 computations (-28.6% saved)

simplify5.0ms (0.2%)

Memory

-34.5MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
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`
6×	`lower-fma.f64`
4×	`*-commutative`
4×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
0	15	43
1	17	43
0	17	43

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

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

localize25.0ms (1%)

Memory

15.4MiB live, 54.6MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y.re x.im)
accuracy	0.49999449521112044	(fma.f64 y.im x.re (*.f64 y.re x.im))
accuracy	0	(*.f64 y.re x.im)
accuracy	30.36041170127087	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
accuracy	0	(*.f64 y.im x.re)
accuracy	32.02933705479513	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Samples

18.0ms

256×

valid

Compiler

Compiled 40 to 12 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (68.7% of total)

ival-add: 2.0ms (22.9% of total)

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

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

series8.0ms (0.3%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

5 → 192

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>) () ())

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

Calls

12 calls:

Time	Variable		Point	Expression
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)))
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)))
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)))
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)))
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)))

simplify90.0ms (3.7%)

Memory

11.9MiB live, 89.0MiB 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	1008
1	149	1008
2	468	1008
3	1239	1008
4	3382	1008
5	5692	1008
6	7184	1008
0	8040	900

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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.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)
(* -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)
(+ (* 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.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)
(* -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.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.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)
(* -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)
(+ (* 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.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)
(* -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)))))

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.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)
(* -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)
(+ (* 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.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)
(* -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.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.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)
(* -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)
(+ (* 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.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)
(* -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))

rewrite192.0ms (8%)

Memory

-34.8MiB live, 282.0MiB allocated

Rules

11 460×	`lower-fma.f32`
11 458×	`lower-fma.f64`
4 138×	`lower-*.f32`
4 134×	`lower-*.f64`
4 012×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
0	15	32
1	48	32
2	204	32
3	1841	32
0	8251	32

Stop Event

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

Counts

5 → 177

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))

Outputs
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eval43.0ms (1.8%)

Memory: 2.6MiB live, 83.2MiB allocated
Compiler: Compiled 7 436 to 504 computations (93.2% saved)

prune11.0ms (0.5%)

Memory

33.6MiB live, 33.6MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	405	0	405
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	405	3	408

Accuracy

100.0%

Counts

408 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 y.im x.re (*.f64 y.re x.im))
✓	52.6%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
✓	50.0%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes15.0ms (0.6%)

Memory

-7.2MiB live, 32.0MiB allocated

Counts

4 → 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))
(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

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

Calls

7 calls:

3.0ms	(*.f64 x.im y.re)
2.0ms	x.re
2.0ms	y.im
2.0ms	x.im
2.0ms	y.re

Results

Accuracy	Segments	Branch
99.2%	1	`x.re`
99.2%	1	`x.im`
99.2%	1	`y.re`
99.2%	1	`y.im`
99.2%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
99.2%	1	`(*.f64 x.re y.im)`
99.2%	1	`(*.f64 x.im y.re)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes12.0ms (0.5%)

Memory

-16.5MiB live, 22.3MiB 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.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))

Calls

7 calls:

3.0ms	y.im
2.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
2.0ms	y.re
2.0ms	x.re
1.0ms	x.im

Results

Accuracy	Segments	Branch
77.5%	3	`x.re`
72.8%	3	`x.im`
71.0%	3	`y.re`
71.2%	3	`y.im`
60.9%	4	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
80.0%	3	`(*.f64 x.re y.im)`
77.0%	3	`(*.f64 x.im y.re)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes9.0ms (0.4%)

Memory

21.6MiB live, 21.6MiB 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	(*.f64 x.im y.re)
1.0ms	y.im
1.0ms	y.re
1.0ms	x.im
1.0ms	x.re

Results

Accuracy	Segments	Branch
50.0%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
50.0%	1	`y.re`
50.0%	1	`y.im`
50.0%	1	`x.im`
50.0%	1	`(*.f64 x.im y.re)`
50.0%	1	`x.re`
50.0%	1	`(*.f64 x.re y.im)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.7966290406439114e-79	3.756842398405379e-65
0.0ms	-8.113190819969691e+107	-2.8132595881783716e+105

Compiler

Compiled 10 to 14 computations (-40% saved)

simplify23.0ms (1%)

Memory

-2.0MiB live, 41.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	62
1	21	62

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 x.re y.im) #s(literal -500000000000000016999495856501412297471987359856449023856715357418937635861600416646370808190366722960654336 binary64)) #s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re)) (if (<=.f64 (*.f64 x.re y.im) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #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.im x.re))

Outputs
(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.re y.im) #s(literal -500000000000000016999495856501412297471987359856449023856715357418937635861600416646370808190366722960654336 binary64)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) (if (<=.f64 (.f64 x.re y.im) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #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))))
(if (<=.f64 (.f64 x.re y.im) #s(literal -500000000000000016999495856501412297471987359856449023856715357418937635861600416646370808190366722960654336 binary64)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (.f64 x.re y.im)) (if (<=.f64 (.f64 x.re y.im) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #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 x.re y.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 x.re y.im))

soundness473.0ms (19.7%)

Memory

-22.0MiB live, 251.3MiB 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 62 to 40 computations (35.5% saved)

preprocess63.0ms (2.6%)

Memory

18.7MiB live, 106.5MiB allocated

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 154 to 116 computations (24.7% 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%)

sample966.0ms (40.1%)

explain88.0ms (3.7%)

preprocess34.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize22.0ms (0.9%)

series8.0ms (0.3%)

simplify91.0ms (3.8%)

rewrite189.0ms (7.8%)

eval29.0ms (1.2%)

prune5.0ms (0.2%)

simplify5.0ms (0.2%)

localize25.0ms (1%)

series8.0ms (0.3%)

simplify90.0ms (3.7%)

rewrite192.0ms (8%)

eval43.0ms (1.8%)

prune11.0ms (0.5%)

regimes15.0ms (0.6%)

regimes12.0ms (0.5%)

regimes9.0ms (0.4%)

bsearch1.0ms (0%)

simplify23.0ms (1%)

soundness473.0ms (19.7%)

preprocess63.0ms (2.6%)

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