Metrics for _multiplyComplex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB 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)

sample804.0ms (24.8%)

Memory

-16.8MiB live, 1 053.1MiB allocated

Samples

473.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 241.0ms

ival-mult: 181.0ms (75.1% of total)

ival-sub: 51.0ms (21.2% of total)

ival-true: 6.0ms (2.5% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain69.0ms (2.1%)

Memory

21.2MiB live, 112.2MiB 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	21

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 62 to 32 computations (48.4% saved)

Precisions

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

ival-mult: 7.0ms (70.3% of total)

ival-sub: 3.0ms (30.1% of total)

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

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

preprocess36.0ms (1.1%)

Memory

-14.2MiB live, 60.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	102
1	103	102
2	183	102
3	383	102
4	613	102
5	695	102
6	707	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	217	7
8	277	7
9	306	7
10	322	7
0	322	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

1.4MiB live, 1.4MiB 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)

simplify10.0ms (0.3%)

Memory

19.4MiB live, 19.4MiB 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	217	17
8	277	17
9	306	17
10	322	17
0	322	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

localize21.0ms (0.7%)

Memory

1.4MiB live, 38.7MiB 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	0.20312500000000003	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Samples

17.0ms

256×

valid

Compiler

Compiled 36 to 16 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (50.3% of total)

ival-sub: 2.0ms (33.5% of total)

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

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

series14.0ms (0.4%)

Memory

-23.5MiB live, 19.9MiB 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
5.0ms	x.im	@	0	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) (* x.im y.im))
1.0ms	x.im	@	-inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) (* x.im y.im))
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.im	@	inf	((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) (* x.im y.im))

simplify135.0ms (4.2%)

Memory

15.0MiB live, 170.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	438
1	141	438
2	387	438
3	1314	438
4	3796	438
5	6101	438
6	7977	438
0	8187	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 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.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 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))
(* 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 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))
(* 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 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)
(* 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)
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(fma.f64 (neg.f64 x.im) y.im (*.f64 y.re x.re))
(* -1 (* y.re (+ (* -1 x.re) (/ (* 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)
(+ (* -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.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 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))
(fma.f64 (neg.f64 x.im) y.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 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))
(* 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 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)
(* 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)
(*.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)
(* 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)

rewrite411.0ms (12.7%)

Memory

-8.3MiB live, 223.5MiB 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	8325	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>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval55.0ms (1.7%)

Memory: 31.3MiB live, 66.7MiB allocated
Compiler: Compiled 10 426 to 664 computations (93.6% saved)

prune58.0ms (1.8%)

Memory

-30.5MiB live, 24.5MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	323	3	326
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	324	3	327

Accuracy

100.0%

Counts

327 → 3

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))
▶	46.4%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
▶	56.9%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))

Compiler

Compiled 16 to 20 computations (-25% saved)

simplify11.0ms (0.3%)

Memory

12.2MiB live, 12.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 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	#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	13	52
0	17	52
1	32	52
2	41	52
3	54	52
4	77	52
5	105	52
6	165	52
7	231	52
8	283	52
9	312	52
10	328	52
0	328	52

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 (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 (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

localize59.0ms (1.8%)

Memory

1.5MiB live, 37.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
accuracy	0	(*.f64 y.re x.re)
accuracy	0	(neg.f64 y.im)
accuracy	0	(*.f64 (neg.f64 y.im) x.im)
accuracy	0	(neg.f64 y.im)
accuracy	34.330779929838	#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	27.614555110279024	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))

Samples

51.0ms

256×

valid

Compiler

Compiled 84 to 23 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-neg: 31.0ms (77.3% of total)

ival-mult: 6.0ms (15% of total)

ival-sub: 1.0ms (2.5% of total)

ival-add: 1.0ms (2.5% of total)

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

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

series40.0ms (1.2%)

Memory

-18.7MiB live, 18.7MiB allocated

Counts

6 → 204

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 (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 (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 (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 (* y.im (+ (* -1 x.im) (/ (* x.re y.re) y.im))) (taylor inf 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 (* y.im (+ (* -1 x.im) (/ (* x.re y.re) y.im))) (taylor inf 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 (* y.im (+ (* -1 x.im) (/ (* x.re y.re) y.im))) (taylor inf 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 (* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 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 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 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 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 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 (* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 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>) () ())) ())
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#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) (+ (* (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) (+ (* (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) (+ (* (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) (+ (* (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) (+ (* (neg y.im) x.im) (* y.re x.re)))

simplify204.0ms (6.3%)

Memory

12.8MiB live, 96.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	1074
1	185	1074
2	495	1074
3	1585	1074
4	3664	1074
5	5430	1074
6	6004	1074
7	6048	1074
8	6066	1074
9	6070	1074
10	7113	1074
0	8909	1074

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

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

rewrite194.0ms (6%)

Memory

10.2MiB live, 116.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
0	17	39
1	62	39
2	376	39
3	4031	39
0	8124	39

Stop Event

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

Counts

6 → 203

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

Outputs
#<batchref>
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eval191.0ms (5.9%)

Memory: -13.2MiB live, 147.3MiB allocated
Compiler: Compiled 7 175 to 624 computations (91.3% saved)

prune51.0ms (1.6%)

Memory

3.0MiB live, 48.7MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	476	0	476
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	476	3	479

Accuracy

100.0%

Counts

479 → 3

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))
✓	46.4%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 (neg.f64 y.im) x.im))
✓	56.9%	#s(approx (- (* x.re y.re) (* x.im y.im)) (*.f64 y.re x.re))

Compiler

Compiled 39 to 33 computations (15.4% saved)

regimes52.0ms (1.6%)

Memory

16.5MiB live, 52.3MiB 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 (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:

38.0ms	y.im
2.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
2.0ms	y.re
2.0ms	x.re
2.0ms	x.im

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)

regimes59.0ms (1.8%)

Memory

-12.7MiB live, 64.0MiB 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:

33.0ms	x.im
15.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
2.0ms	x.re
2.0ms	y.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)

regimes35.0ms (1.1%)

Memory

-39.4MiB live, 29.2MiB 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 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))

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
75.4%	3	`x.re`
72.5%	3	`x.im`
70.0%	3	`y.re`
72.0%	3	`y.im`
65.2%	5	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
80.9%	3	`(*.f64 x.re y.re)`
76.4%	3	`(*.f64 x.im y.im)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes10.0ms (0.3%)

Memory

16.1MiB live, 16.1MiB 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:

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

Results

Accuracy	Segments	Branch
56.9%	1	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
56.9%	1	`y.re`
56.9%	1	`y.im`
56.9%	1	`x.im`
56.9%	1	`x.re`
56.9%	1	`(*.f64 x.im y.im)`
56.9%	1	`(*.f64 x.re y.re)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.455304118524871e+45	3.8373920542948015e+46
0.0ms	-1.867047182661372e-23	-3.1615968781808124e-27

Compiler

Compiled 10 to 14 computations (-40% saved)

simplify36.0ms (1.1%)

Memory

-3.2MiB live, 36.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	71
1	37	71
2	45	71
3	50	71
4	52	71

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (neg.f64 y.im) x.im (*.f64 y.re x.re))
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
(if (<=.f64 (.f64 x.re y.re) #s(literal -6805647338418769/680564733841876926926749214863536422912 binary64)) #s(approx (- ( x.re y.re) (* x.im y.im)) (.f64 y.re x.re)) (if (<=.f64 (.f64 x.re y.re) #s(literal 9999999999999999931398190359470212947659194368 binary64)) #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 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))
(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
(if (<=.f64 (.f64 x.re y.re) #s(literal -6805647338418769/680564733841876926926749214863536422912 binary64)) #s(approx (- ( x.re y.re) (* x.im y.im)) (.f64 y.re x.re)) (if (<=.f64 (.f64 x.re y.re) #s(literal 9999999999999999931398190359470212947659194368 binary64)) #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))))
(if (<=.f64 (.f64 x.re y.re) #s(literal -6805647338418769/680564733841876926926749214863536422912 binary64)) #s(approx (- ( x.re y.re) (* x.im y.im)) (.f64 x.re y.re)) (if (<=.f64 (.f64 x.re y.re) #s(literal 9999999999999999931398190359470212947659194368 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))

soundness632.0ms (19.5%)

Memory

-10.2MiB live, 149.2MiB 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	8325	13
0	42	438
1	141	438
2	387	438
3	1314	438
4	3796	438
5	6101	438
6	7977	438
0	8187	438

Stop Event

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

Compiler

Compiled 74 to 45 computations (39.2% saved)

preprocess54.0ms (1.7%)

Memory

13.5MiB live, 51.9MiB allocated

Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 212 to 162 computations (23.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	36	102
1	103	102
2	183	102
3	383	102
4	613	102
5	695	102
6	707	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	217	7
8	277	7
9	306	7
10	322	7
0	322	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	217	17
8	277	17
9	306	17
10	322	17
0	322	17

Iter	Nodes	Cost
0	13	52
0	17	52
1	32	52
2	41	52
3	54	52
4	77	52
5	105	52
6	165	52
7	231	52
8	283	52
9	312	52
10	328	52
0	328	52

Iter	Nodes	Cost
0	36	102
1	103	102
2	183	102
3	383	102
4	613	102
5	695	102
6	707	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	217	7
8	277	7
9	306	7
10	322	7
0	322	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	217	17
8	277	17
9	306	17
10	322	17
0	322	17

Iter	Nodes	Cost
0	13	52
0	17	52
1	32	52
2	41	52
3	54	52
4	77	52
5	105	52
6	165	52
7	231	52
8	283	52
9	312	52
10	328	52
0	328	52

start0.0ms (0%)

analyze0.0ms (0%)

sample804.0ms (24.8%)

explain69.0ms (2.1%)

preprocess36.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify10.0ms (0.3%)

localize21.0ms (0.7%)

series14.0ms (0.4%)

simplify135.0ms (4.2%)

rewrite411.0ms (12.7%)

eval55.0ms (1.7%)

prune58.0ms (1.8%)

simplify11.0ms (0.3%)

localize59.0ms (1.8%)

series40.0ms (1.2%)

simplify204.0ms (6.3%)

rewrite194.0ms (6%)

eval191.0ms (5.9%)

prune51.0ms (1.6%)

regimes52.0ms (1.6%)

regimes59.0ms (1.8%)

regimes35.0ms (1.1%)

regimes10.0ms (0.3%)

bsearch1.0ms (0%)

simplify36.0ms (1.1%)

soundness632.0ms (19.5%)

preprocess54.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	36	102
1	103	102
2	183	102
3	383	102
4	613	102
5	695	102
6	707	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	217	7
8	277	7
9	306	7
10	322	7
0	322	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	217	17
8	277	17
9	306	17
10	322	17
0	322	17

Iter	Nodes	Cost
0	13	52
0	17	52
1	32	52
2	41	52
3	54	52
4	77	52
5	105	52
6	165	52
7	231	52
8	283	52
9	312	52
10	328	52
0	328	52