Metrics for _multiplyComplex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample1.2s (35.3%)

Memory

-13.5MiB live, 898.8MiB allocated

Samples

971.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 496.0ms

ival-mult: 398.0ms (80.3% of total)

ival-sub: 89.0ms (17.9% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain119.0ms (3.5%)

Memory

-11.1MiB live, 111.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
0	-	-	`x.re`
0	-	-	`y.re`
0	-	-	`(*.f64 x.re y.re)`
0	-	-	`(*.f64 x.im 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.re) (.f64 x.im y.im))`	nan-rescue	1	0
↳	`(*.f64 x.re y.re)`	overflow	35
↳	`(*.f64 x.im y.im)`	overflow	38

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

26.0ms

512×

valid

Compiler

Compiled 62 to 32 computations (48.4% saved)

Precisions

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

ival-mult: 7.0ms (68.6% of total)

ival-sub: 2.0ms (19.6% of total)

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

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

preprocess35.0ms (1%)

Memory

31.4MiB live, 67.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	102
1	103	102
2	191	102
3	391	102
4	655	102
5	738	102
6	756	102
0	7	7
0	10	7
1	17	7
2	29	7
3	41	7
4	62	7
5	92	7
6	150	7
7	220	7
8	287	7
9	317	7
10	333	7
0	333	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x.re y.re)

(sort x.im y.im)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 7 computations (0% saved)

simplify13.0ms (0.4%)

Memory

-19.7MiB live, 15.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	17	17
2	29	17
3	41	17
4	62	17
5	92	17
6	150	17
7	220	17
8	287	17
9	317	17
10	333	17
0	333	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (1.5%)

Memory

-28.8MiB live, 35.0MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

47.0ms

256×

valid

Compiler

Compiled 36 to 16 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 38.0ms (97.2% of total)

ival-sub: 1.0ms (2.6% of total)

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

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

series8.0ms (0.2%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

3 → 96

Calls

Call 1

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

Inputs

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

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

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

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

Calls

12 calls:

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

simplify109.0ms (3.2%)

Memory

10.5MiB live, 123.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	438
1	141	438
2	404	438
3	1357	438
4	3869	438
5	6188	438
0	8104	438

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite181.0ms (5.3%)

Memory

5.7MiB live, 280.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	30	13
2	207	13
3	1953	13
0	8339	13

Stop Event

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

Counts

3 → 230

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval40.0ms (1.2%)

Memory: -16.0MiB live, 103.9MiB allocated
Compiler: Compiled 10 426 to 664 computations (93.6% saved)

prune7.0ms (0.2%)

Memory

26.9MiB live, 26.9MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	322	4	326
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	323	4	327

Accuracy

100.0%

Counts

327 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
▶	99.6%	(fma.f64 y.re x.re (*.f64 (neg.f64 y.im) x.im))
▶	53.9%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
▶	50.6%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))

Compiler

Compiled 23 to 27 computations (-17.4% saved)

simplify47.0ms (1.4%)

Memory

-21.7MiB live, 17.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	69
0	19	69
1	33	69
2	42	69
3	56	69
4	79	69
5	107	69
6	167	69
7	238	69
8	298	69
9	328	69
10	344	69
0	344	69

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize46.0ms (1.3%)

Memory

13.7MiB live, 52.6MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y.re x.re)
accuracy	0	(neg.f64 y.im)
accuracy	0.0078125	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
accuracy	0	(*.f64 (neg.f64 y.im) x.im)
accuracy	0	(neg.f64 y.im)
accuracy	0.2539034976055602	(fma.f64 y.re x.re (*.f64 (neg.f64 y.im) x.im))
accuracy	0	(*.f64 (neg.f64 y.im) x.im)
accuracy	0	(neg.f64 y.im)
accuracy	29.490252993286315	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
accuracy	0	(*.f64 y.re x.re)
accuracy	31.620352883230957	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))

Samples

24.0ms

256×

valid

Compiler

Compiled 119 to 25 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (61.3% of total)

ival-add: 2.0ms (17.5% of total)

ival-sub: 1.0ms (8.8% of total)

ival-neg: 1.0ms (8.8% of total)

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

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

series12.0ms (0.3%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

7 → 252

Calls

Call 1

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

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

Calls

12 calls:

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

simplify184.0ms (5.4%)

Memory

-10.9MiB live, 114.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	1368
1	185	1368
2	509	1368
3	1652	1368
4	3809	1368
5	5578	1368
6	6148	1368
7	6192	1368
8	6210	1368
9	6214	1368
10	7254	1368
0	9050	1368

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

rewrite209.0ms (6.1%)

Memory

-4.8MiB live, 154.3MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	46
0	19	46
1	71	46
2	460	46
3	5522	39
0	8764	39

Stop Event

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

Counts

7 → 395

Calls

Call 1

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

Outputs
#<batchref>
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eval310.0ms (9.1%)

Memory: 19.7MiB live, 215.1MiB allocated
Compiler: Compiled 12 880 to 677 computations (94.7% saved)

prune32.0ms (0.9%)

Memory

-21.7MiB live, 96.8MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	815	0	815
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	815	4	819

Accuracy

100.0%

Counts

819 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
✓	99.6%	(fma.f64 y.re x.re (*.f64 (neg.f64 y.im) x.im))
✓	53.9%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
✓	50.6%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))

Compiler

Compiled 53 to 41 computations (22.6% saved)

regimes19.0ms (0.6%)

Memory

14.3MiB live, 52.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

4.0ms	y.im
3.0ms	x.im
2.0ms	x.re
2.0ms	y.re
2.0ms	(*.f64 x.re 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.re) (.f64 x.im y.im))`
100.0%	1	`(*.f64 x.re y.re)`
100.0%	1	`(*.f64 x.im y.im)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes22.0ms (0.6%)

Memory

-8.4MiB live, 40.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

8.0ms	(*.f64 x.re y.re)
2.0ms	y.re
2.0ms	x.re
2.0ms	x.im
2.0ms	y.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.re) (.f64 x.im y.im))`
99.6%	1	`(*.f64 x.re y.re)`
99.6%	1	`(*.f64 x.im y.im)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes19.0ms (0.6%)

Memory

2.6MiB live, 41.1MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

7 calls:

7.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
2.0ms	y.re
2.0ms	x.im
2.0ms	x.re
2.0ms	y.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.re) (.f64 x.im y.im))`
99.6%	1	`(*.f64 x.re y.re)`
99.6%	1	`(*.f64 x.im y.im)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes13.0ms (0.4%)

Memory

5.9MiB live, 44.4MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
72.0%	3	`x.re`
73.9%	3	`x.im`
68.9%	3	`y.re`
76.7%	3	`y.im`
62.7%	4	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
76.3%	3	`(*.f64 x.re y.re)`
80.5%	3	`(*.f64 x.im y.im)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes11.0ms (0.3%)

Memory

-5.2MiB live, 33.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

3.0ms	y.im
1.0ms	y.re
1.0ms	x.im
1.0ms	(*.f64 x.im y.im)
1.0ms	x.re

Results

Accuracy	Segments	Branch
50.6%	1	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
50.6%	1	`y.re`
50.6%	1	`x.re`
50.6%	1	`x.im`
50.6%	1	`(*.f64 x.re y.re)`
50.6%	1	`y.im`
50.6%	1	`(*.f64 x.im y.im)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.3065212722375157e-69	5.30558975310404e-61
0.0ms	-7.796991027107674e+40	-2.6284435723476696e+37

Compiler

Compiled 10 to 14 computations (-40% saved)

simplify74.0ms (2.2%)

Memory

-16.4MiB live, 100.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	68
1	48	68
2	71	68
3	90	68
4	125	68
5	157	68
6	309	68
7	3399	68

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
(fma.f64 y.re x.re (*.f64 (neg.f64 y.im) x.im))
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
(if (<=.f64 (.f64 x.im y.im) #s(literal -50000000000000000310004322520389159747584 binary64)) #s(approx (- ( x.re y.re) (* x.im y.im)) (.f64 (neg.f64 y.im) x.im)) (if (<=.f64 (.f64 x.im y.im) #s(literal 4856672230564323/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 y.re x.re)) #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))

Outputs
(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
(fma.f64 (neg.f64 y.im) x.im (*.f64 x.re y.re))
(fma.f64 y.re x.re (*.f64 (neg.f64 y.im) x.im))
(fma.f64 y.re x.re (*.f64 x.im (neg.f64 y.im)))
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
(if (<=.f64 (.f64 x.im y.im) #s(literal -50000000000000000310004322520389159747584 binary64)) #s(approx (- ( x.re y.re) (* x.im y.im)) (.f64 (neg.f64 y.im) x.im)) (if (<=.f64 (.f64 x.im y.im) #s(literal 4856672230564323/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 y.re x.re)) #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))))
(if (or (<=.f64 (.f64 x.im y.im) #s(literal -50000000000000000310004322520389159747584 binary64)) (not (<=.f64 (.f64 x.im y.im) #s(literal 4856672230564323/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)))) #s(approx (- (* x.re y.re) (* x.im y.im)) (.f64 x.im (neg.f64 y.im))) #s(approx (- ( x.re y.re) (* x.im y.im)) (*.f64 x.re y.re)))
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 x.re y.re))

soundness571.0ms (16.7%)

Memory

23.1MiB live, 343.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	30	13
2	207	13
3	1953	13
0	8339	13
0	42	438
1	141	438
2	404	438
3	1357	438
4	3869	438
5	6188	438
0	8104	438

Stop Event

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

Compiler

Compiled 92 to 57 computations (38% saved)

preprocess81.0ms (2.4%)

Memory

-26.5MiB live, 141.3MiB allocated

Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 248 to 194 computations (21.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	36	102
1	103	102
2	191	102
3	391	102
4	655	102
5	738	102
6	756	102
0	7	7
0	10	7
1	17	7
2	29	7
3	41	7
4	62	7
5	92	7
6	150	7
7	220	7
8	287	7
9	317	7
10	333	7
0	333	7

Iter	Nodes	Cost
0	7	17
0	10	17
1	17	17
2	29	17
3	41	17
4	62	17
5	92	17
6	150	17
7	220	17
8	287	17
9	317	17
10	333	17
0	333	17

Iter	Nodes	Cost
0	14	69
0	19	69
1	33	69
2	42	69
3	56	69
4	79	69
5	107	69
6	167	69
7	238	69
8	298	69
9	328	69
10	344	69
0	344	69

Iter	Nodes	Cost
0	36	102
1	103	102
2	191	102
3	391	102
4	655	102
5	738	102
6	756	102
0	7	7
0	10	7
1	17	7
2	29	7
3	41	7
4	62	7
5	92	7
6	150	7
7	220	7
8	287	7
9	317	7
10	333	7
0	333	7

Iter	Nodes	Cost
0	7	17
0	10	17
1	17	17
2	29	17
3	41	17
4	62	17
5	92	17
6	150	17
7	220	17
8	287	17
9	317	17
10	333	17
0	333	17

Iter	Nodes	Cost
0	14	69
0	19	69
1	33	69
2	42	69
3	56	69
4	79	69
5	107	69
6	167	69
7	238	69
8	298	69
9	328	69
10	344	69
0	344	69

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (35.3%)

explain119.0ms (3.5%)

preprocess35.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify13.0ms (0.4%)

localize51.0ms (1.5%)

series8.0ms (0.2%)

simplify109.0ms (3.2%)

rewrite181.0ms (5.3%)

eval40.0ms (1.2%)

prune7.0ms (0.2%)

simplify47.0ms (1.4%)

localize46.0ms (1.3%)

series12.0ms (0.3%)

simplify184.0ms (5.4%)

rewrite209.0ms (6.1%)

eval310.0ms (9.1%)

prune32.0ms (0.9%)

regimes19.0ms (0.6%)

regimes22.0ms (0.6%)

regimes19.0ms (0.6%)

regimes13.0ms (0.4%)

regimes11.0ms (0.3%)

bsearch1.0ms (0%)

simplify74.0ms (2.2%)

soundness571.0ms (16.7%)

preprocess81.0ms (2.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	36	102
1	103	102
2	191	102
3	391	102
4	655	102
5	738	102
6	756	102
0	7	7
0	10	7
1	17	7
2	29	7
3	41	7
4	62	7
5	92	7
6	150	7
7	220	7
8	287	7
9	317	7
10	333	7
0	333	7

Iter	Nodes	Cost
0	7	17
0	10	17
1	17	17
2	29	17
3	41	17
4	62	17
5	92	17
6	150	17
7	220	17
8	287	17
9	317	17
10	333	17
0	333	17

Iter	Nodes	Cost
0	14	69
0	19	69
1	33	69
2	42	69
3	56	69
4	79	69
5	107	69
6	167	69
7	238	69
8	298	69
9	328	69
10	344	69
0	344	69