Metrics for _multiplyComplex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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)

sample959.0ms (38.5%)

Memory

2.2MiB live, 667.2MiB allocated

Samples

700.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 351.0ms

ival-mult: 212.0ms (60.4% of total)

ival-add: 130.0ms (37.1% of total)

ival-true: 6.0ms (1.7% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain97.0ms (3.9%)

Memory

1.0MiB live, 121.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
3	4	(-4.524624355907148e+285 5.94015842704005e+270 9.25887728004166e+218 -3.979349783634466e+95)	-	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
0	0	-	-	`(*.f64 x.im y.re)`
0	0	-	-	`x.re`
0	0	-	-	`y.re`
0	0	-	-	`(*.f64 x.re y.im)`
0	0	-	-	`y.im`
0	0	-	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`	nan-rescue	7	0
↳	`(*.f64 x.re y.im)`	overflow	43
↳	`(*.f64 x.im y.re)`	overflow	32

Confusion

	Predicted +	Predicted -
+	3	0
-	4	249

Precision

0.42857142857142855

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	4	0	249

Precision?

0.42857142857142855

Recall?

1.0

Freqs

test

number	freq
0	249
1	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 96 to 46 computations (52.1% saved)

Precisions

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

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

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

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

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

preprocess27.0ms (1.1%)

Memory

-3.6MiB live, 34.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x.re y.im)

(sort x.im y.re)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify2.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.7%)

Memory

23.8MiB live, 23.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x.re y.im)
accuracy	0	(*.f64 x.im y.re)
accuracy	0.7148396216604117	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Samples

13.0ms

256×

valid

Compiler

Compiled 36 to 16 computations (55.6% saved)

Precisions

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

ival-mult: 4.0ms (82% of total)

ival-add: 1.0ms (20.5% of total)

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

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

series12.0ms (0.5%)

Memory

-25.6MiB live, 11.9MiB allocated

Counts

3 → 96

Calls

Call 1

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

Inputs

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

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

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

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

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y.im	@	0	((+ (* x.re y.im) (* x.im y.re)) (* x.re y.im) (* x.im y.re))
1.0ms	y.im	@	inf	((+ (* x.re y.im) (* x.im y.re)) (* x.re y.im) (* x.im y.re))
1.0ms	x.re	@	inf	((+ (* x.re y.im) (* x.im y.re)) (* x.re y.im) (* x.im y.re))
1.0ms	y.re	@	inf	((+ (* x.re y.im) (* x.im y.re)) (* x.re y.im) (* x.im y.re))
1.0ms	y.im	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* x.re y.im) (* x.im y.re))

simplify95.0ms (3.8%)

Memory

26.8MiB live, 104.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite193.0ms (7.7%)

Memory

13.6MiB live, 242.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 175

Calls

Call 1

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

Outputs
#<batchref>
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eval52.0ms (2.1%)

Memory: -39.1MiB live, 86.1MiB allocated
Compiler: Compiled 6 763 to 490 computations (92.8% saved)

prune5.0ms (0.2%)

Memory

19.8MiB live, 19.8MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Accuracy

100.0%

Counts

272 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 y.re x.im (*.f64 y.im x.re))
▶	99.2%	(fma.f64 y.im x.re (*.f64 y.re x.im))
▶	51.0%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
▶	54.2%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Compiler

Compiled 20 to 24 computations (-20% saved)

simplify3.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize32.0ms (1.3%)

Memory

-23.4MiB live, 60.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y.im x.re)
accuracy	0.2578097476055602	(fma.f64 y.re x.im (*.f64 y.im x.re))
accuracy	0	(*.f64 y.re x.im)
accuracy	0.5078069952111204	(fma.f64 y.im x.re (*.f64 y.re x.im))
accuracy	0	(*.f64 y.re x.im)
accuracy	31.335181077146487	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
accuracy	0	(*.f64 y.im x.re)
accuracy	29.304534479383157	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Samples

25.0ms

256×

valid

Compiler

Compiled 98 to 23 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 6.0ms (49.2% of total)

ival-add: 5.0ms (41% of total)

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

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

series9.0ms (0.4%)

Memory

20.2MiB live, 20.2MiB allocated

Counts

6 → 240

Calls

Call 1

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

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

Calls

12 calls:

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

simplify96.0ms (3.9%)

Memory

-13.0MiB live, 99.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

rewrite161.0ms (6.5%)

Memory

-6.7MiB live, 244.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
0	17	38
1	57	38
2	299	38
3	3193	38
0	8121	38

Stop Event

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

Counts

6 → 420

Calls

Call 1

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

Outputs
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eval76.0ms (3.1%)

Memory: 4.2MiB live, 156.4MiB allocated
Compiler: Compiled 17 630 to 694 computations (96.1% saved)

prune19.0ms (0.8%)

Memory

20.1MiB live, 59.3MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

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

Accuracy

100.0%

Counts

730 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 y.re x.im (*.f64 y.im x.re))
✓	99.2%	(fma.f64 y.im x.re (*.f64 y.re x.im))
✓	51.0%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
✓	54.2%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes18.0ms (0.7%)

Memory

1.3MiB live, 40.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes15.0ms (0.6%)

Memory

-15.6MiB live, 29.7MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes13.0ms (0.5%)

Memory

-10.7MiB live, 28.3MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
71.6%	3	`x.re`
74.2%	3	`x.im`
70.7%	3	`y.re`
74.9%	3	`y.im`
58.0%	3	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
78.7%	3	`(*.f64 x.re y.im)`
79.0%	3	`(*.f64 x.im y.re)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes9.0ms (0.4%)

Memory

26.6MiB live, 26.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
54.2%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
54.2%	1	`y.re`
54.2%	1	`x.re`
54.2%	1	`x.im`
54.2%	1	`y.im`
54.2%	1	`(*.f64 x.re y.im)`
54.2%	1	`(*.f64 x.im y.re)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.1495274704189597e+107	3.391453196023072e+109
0.0ms	-7.144591376645289e+43	-3.3242038750492504e+42

Compiler

Compiled 10 to 14 computations (-40% saved)

simplify25.0ms (1%)

Memory

-23.2MiB live, 54.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	68
1	23	68

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(if (<=.f64 (.f64 x.im y.re) #s(literal -50000000000000004410680702653211320350932992 binary64)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (.f64 y.re x.im)) (if (<=.f64 (.f64 x.im y.re) #s(literal 399999999999999987525536188119707933741485076245118757626576847011166100546682581581016009581583539221037056 binary64)) #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Outputs
(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(fma.f64 y.im x.re (*.f64 x.im y.re))
(if (<=.f64 (.f64 x.im y.re) #s(literal -50000000000000004410680702653211320350932992 binary64)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (.f64 y.re x.im)) (if (<=.f64 (.f64 x.im y.re) #s(literal 399999999999999987525536188119707933741485076245118757626576847011166100546682581581016009581583539221037056 binary64)) #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))))
(if (<=.f64 (.f64 x.im y.re) #s(literal -50000000000000004410680702653211320350932992 binary64)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (.f64 x.im y.re)) (if (<=.f64 (.f64 x.im y.re) #s(literal 399999999999999987525536188119707933741485076245118757626576847011166100546682581581016009581583539221037056 binary64)) #s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 x.re y.im)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.re y.im))

soundness515.0ms (20.6%)

Memory

-10.7MiB live, 236.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 87 to 51 computations (41.4% saved)

preprocess40.0ms (1.6%)

Memory

13.6MiB live, 91.2MiB allocated

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 190 to 142 computations (25.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample959.0ms (38.5%)

explain97.0ms (3.9%)

preprocess27.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0.1%)

localize17.0ms (0.7%)

series12.0ms (0.5%)

simplify95.0ms (3.8%)

rewrite193.0ms (7.7%)

eval52.0ms (2.1%)

prune5.0ms (0.2%)

simplify3.0ms (0.1%)

localize32.0ms (1.3%)

series9.0ms (0.4%)

simplify96.0ms (3.9%)

rewrite161.0ms (6.5%)

eval76.0ms (3.1%)

prune19.0ms (0.8%)

regimes18.0ms (0.7%)

regimes15.0ms (0.6%)

regimes13.0ms (0.5%)

regimes9.0ms (0.4%)

bsearch1.0ms (0%)

simplify25.0ms (1%)

soundness515.0ms (20.6%)

preprocess40.0ms (1.6%)

end0.0ms (0%)

Profiling

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