Metrics for _multiplyComplex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

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)

sample749.0ms (55%)

Memory

18.0MiB live, 793.1MiB allocated; 66ms collecting garbage

Samples

498.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 299.0ms

ival-mult: 181.0ms (60.6% of total)

ival-sub: 113.0ms (37.8% of total)

ival-assert: 3.0ms (1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain83.0ms (6.1%)

Memory

-20.0MiB live, 83.2MiB allocated; 30ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
4	-	-	`(-.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	4	0
↳	`(*.f64 x.re y.re)`	overflow	33
↳	`(*.f64 x.im y.im)`	overflow	34

Confusion

	Predicted +	Predicted -
+	4	0
-	0	252

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms

512×

valid

Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-sub: 22.0ms (75.2% of total)

ival-mult: 7.0ms (23.9% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess17.0ms (1.3%)

Memory

22.8MiB live, 22.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	109
1	66	109
2	123	109
3	190	109
4	214	109
5	217	109
0	7	7
0	10	7
1	15	7
2	24	7
3	40	7
4	58	7
5	70	7
6	74	7
7	77	7
0	77	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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 7 computations (0% saved)

series9.0ms (0.6%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Counts

7 → 18

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
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* x.im y.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (- (* x.re y.re) (* x.im y.im))))
#s(approx (* x.re y.re) #s(hole binary64 (* x.re y.re)))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* x.re y.re)))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (+ (* -1 (* x.im y.im)) (* x.re y.re))))
#s(approx (* x.im y.im) #s(hole binary64 (* x.im y.im)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* x.im (- (/ (* x.re y.re) x.im) y.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))))
#s(approx y.re #s(hole binary64 y.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))))
#s(approx y.im #s(hole binary64 y.im))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* y.im (- (/ (* x.re y.re) y.im) x.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))))

Calls

12 calls:

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

rewrite170.0ms (12.5%)

Memory

-24.0MiB live, 165.9MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	259
0	65	244
1	291	240
2	2296	238
0	9079	236

Stop Event

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

Counts

25 → 84

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
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* x.im y.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (- (* x.re y.re) (* x.im y.im))))
#s(approx (* x.re y.re) #s(hole binary64 (* x.re y.re)))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* x.re y.re)))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (+ (* -1 (* x.im y.im)) (* x.re y.re))))
#s(approx (* x.im y.im) #s(hole binary64 (* x.im y.im)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* x.im (- (/ (* x.re y.re) x.im) y.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))))
#s(approx y.re #s(hole binary64 y.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))))
#s(approx y.im #s(hole binary64 y.im))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* y.im (- (/ (* x.re y.re) y.im) x.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))))

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

eval8.0ms (0.6%)

Memory: 11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 247 to 244 computations (89.1% saved)

prune25.0ms (1.9%)

Memory

-16.9MiB live, 30.2MiB allocated; 2ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	2	84

Accuracy

100.0%

Counts

84 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 (neg.f64 y.im) x.im (*.f64 (neg.f64 (neg.f64 x.re)) y.re))
▶	99.2%	(fma.f64 y.re x.re (*.f64 (neg.f64 x.im) y.im))

Compiler

Compiled 16 to 16 computations (0% saved)

series8.0ms (0.6%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Counts

12 → 32

Calls

Call 1

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

Outputs
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* -1 (* x.im y.im))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (+ (* -1 (* x.im y.im)) (* x.re y.re))))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (+ (* (neg y.im) x.im) (* (neg (neg x.re)) y.re)) #s(hole binary64 (* -1 (* x.im y.im))))
#s(approx (+ (* (neg y.im) x.im) (* (neg (neg x.re)) y.re)) #s(hole binary64 (+ (* -1 (* x.im y.im)) (* x.re y.re))))
#s(approx (* (neg (neg x.re)) y.re) #s(hole binary64 (* x.re y.re)))
#s(approx (neg (neg x.re)) #s(hole binary64 x.re))
#s(approx (neg x.re) #s(hole binary64 (* -1 x.re)))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* x.re y.re)))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))))
#s(approx (+ (* (neg y.im) x.im) (* (neg (neg x.re)) y.re)) #s(hole binary64 (* x.re y.re)))
#s(approx (+ (* (neg y.im) x.im) (* (neg (neg x.re)) y.re)) #s(hole binary64 (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))))
#s(approx (+ (* (neg y.im) x.im) (* (neg (neg x.re)) y.re)) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))))
#s(approx (* (neg x.im) y.im) #s(hole binary64 (* -1 (* x.im y.im))))
#s(approx (neg x.im) #s(hole binary64 (* -1 x.im)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* x.im (+ (* -1 y.im) (/ (* x.re y.re) x.im)))))
#s(approx (+ (* (neg y.im) x.im) (* (neg (neg x.re)) y.re)) #s(hole binary64 (* x.im (+ (* -1 y.im) (/ (* x.re y.re) x.im)))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* -1 (* x.im (+ y.im (* -1 (/ (* x.re y.re) x.im)))))))
#s(approx (+ (* (neg y.im) x.im) (* (neg (neg x.re)) y.re)) #s(hole binary64 (* -1 (* x.im (+ y.im (* -1 (/ (* x.re y.re) x.im)))))))
#s(approx y.re #s(hole binary64 y.re))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))))
#s(approx (+ (* (neg y.im) x.im) (* (neg (neg x.re)) y.re)) #s(hole binary64 (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))))
#s(approx (+ (* (neg y.im) x.im) (* (neg (neg x.re)) y.re)) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))))
#s(approx y.im #s(hole binary64 y.im))
#s(approx (neg y.im) #s(hole binary64 (* -1 y.im)))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* y.im (+ (* -1 x.im) (/ (* x.re y.re) y.im)))))
#s(approx (+ (* (neg y.im) x.im) (* (neg (neg x.re)) y.re)) #s(hole binary64 (* y.im (+ (* -1 x.im) (/ (* x.re y.re) y.im)))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* -1 (* y.im (+ x.im (* -1 (/ (* x.re y.re) y.im)))))))
#s(approx (+ (* (neg y.im) x.im) (* (neg (neg x.re)) y.re)) #s(hole binary64 (* -1 (* y.im (+ x.im (* -1 (/ (* x.re y.re) y.im)))))))

Calls

12 calls:

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

rewrite160.0ms (11.7%)

Memory

-14.4MiB live, 219.9MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	91	516
0	100	446
1	414	432
2	2655	430
0	8549	430

Stop Event

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

Counts

44 → 179

Calls

Call 1

Inputs
(fma.f64 y.re x.re (*.f64 (neg.f64 x.im) y.im))
y.re
x.re
(*.f64 (neg.f64 x.im) y.im)
(neg.f64 x.im)
x.im
y.im
(fma.f64 (neg.f64 y.im) x.im (*.f64 (neg.f64 (neg.f64 x.re)) y.re))
(neg.f64 y.im)
(*.f64 (neg.f64 (neg.f64 x.re)) y.re)
(neg.f64 (neg.f64 x.re))
(neg.f64 x.re)
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* -1 (* x.im y.im))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (+ (* -1 (* x.im y.im)) (* x.re y.re))))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (+ (* (neg y.im) x.im) (* (neg (neg x.re)) y.re)) #s(hole binary64 (* -1 (* x.im y.im))))
#s(approx (+ (* (neg y.im) x.im) (* (neg (neg x.re)) y.re)) #s(hole binary64 (+ (* -1 (* x.im y.im)) (* x.re y.re))))
#s(approx (* (neg (neg x.re)) y.re) #s(hole binary64 (* x.re y.re)))
#s(approx (neg (neg x.re)) #s(hole binary64 x.re))
#s(approx (neg x.re) #s(hole binary64 (* -1 x.re)))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* x.re y.re)))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))))
#s(approx (+ (* (neg y.im) x.im) (* (neg (neg x.re)) y.re)) #s(hole binary64 (* x.re y.re)))
#s(approx (+ (* (neg y.im) x.im) (* (neg (neg x.re)) y.re)) #s(hole binary64 (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))))
#s(approx (+ (* (neg y.im) x.im) (* (neg (neg x.re)) y.re)) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))))
#s(approx (* (neg x.im) y.im) #s(hole binary64 (* -1 (* x.im y.im))))
#s(approx (neg x.im) #s(hole binary64 (* -1 x.im)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* x.im (+ (* -1 y.im) (/ (* x.re y.re) x.im)))))
#s(approx (+ (* (neg y.im) x.im) (* (neg (neg x.re)) y.re)) #s(hole binary64 (* x.im (+ (* -1 y.im) (/ (* x.re y.re) x.im)))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* -1 (* x.im (+ y.im (* -1 (/ (* x.re y.re) x.im)))))))
#s(approx (+ (* (neg y.im) x.im) (* (neg (neg x.re)) y.re)) #s(hole binary64 (* -1 (* x.im (+ y.im (* -1 (/ (* x.re y.re) x.im)))))))
#s(approx y.re #s(hole binary64 y.re))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))))
#s(approx (+ (* (neg y.im) x.im) (* (neg (neg x.re)) y.re)) #s(hole binary64 (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))))
#s(approx (+ (* (neg y.im) x.im) (* (neg (neg x.re)) y.re)) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))))
#s(approx y.im #s(hole binary64 y.im))
#s(approx (neg y.im) #s(hole binary64 (* -1 y.im)))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* y.im (+ (* -1 x.im) (/ (* x.re y.re) y.im)))))
#s(approx (+ (* (neg y.im) x.im) (* (neg (neg x.re)) y.re)) #s(hole binary64 (* y.im (+ (* -1 x.im) (/ (* x.re y.re) y.im)))))
#s(approx (+ (* y.re x.re) (* (neg x.im) y.im)) #s(hole binary64 (* -1 (* y.im (+ x.im (* -1 (/ (* x.re y.re) y.im)))))))
#s(approx (+ (* (neg y.im) x.im) (* (neg (neg x.re)) y.re)) #s(hole binary64 (* -1 (* y.im (+ x.im (* -1 (/ (* x.re y.re) y.im)))))))

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

eval11.0ms (0.8%)

Memory: 26.0MiB live, 26.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 220 to 267 computations (88% saved)

prune43.0ms (3.2%)

Memory

-18.3MiB live, 81.9MiB allocated; 4ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	111	2	113

Accuracy

100.0%

Counts

113 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 (neg.f64 y.im) x.im (*.f64 (neg.f64 (neg.f64 x.re)) y.re))
✓	99.2%	(fma.f64 y.re x.re (*.f64 (neg.f64 x.im) y.im))

Compiler

Compiled 39 to 31 computations (20.5% saved)

regimes11.0ms (0.8%)

Memory

-16.4MiB live, 31.2MiB allocated; 1ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

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

Calls

7 calls:

2.0ms	y.im
2.0ms	x.re
1.0ms	x.im
1.0ms	y.re
1.0ms	(*.f64 x.re y.re)

Results

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

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes7.0ms (0.5%)

Memory

23.6MiB live, 23.6MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

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))

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
98.4%	1	`(*.f64 x.im y.im)`
98.4%	1	`(*.f64 x.re y.re)`
98.4%	1	`(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
98.4%	1	`x.re`
98.4%	1	`x.im`
98.4%	1	`y.re`
98.4%	1	`y.im`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

simplify10.0ms (0.7%)

Memory

-27.2MiB live, 20.2MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	18	14
2	24	14
3	28	14
4	29	14

Stop Event

1×

saturated

Calls

Call 1

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

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

derivations33.0ms (2.4%)

Memory

1.5MiB live, 48.9MiB allocated; 1ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 14 to 10 computations (28.6% saved)

preprocess16.0ms (1.2%)

Memory

28.6MiB live, 28.6MiB allocated; 0ms collecting garbage

Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 98 to 90 computations (8.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	37	109
1	66	109
2	123	109
3	190	109
4	214	109
5	217	109
0	7	7
0	10	7
1	15	7
2	24	7
3	40	7
4	58	7
5	70	7
6	74	7
7	77	7
0	77	7

Iter	Nodes	Cost
0	37	109
1	66	109
2	123	109
3	190	109
4	214	109
5	217	109
0	7	7
0	10	7
1	15	7
2	24	7
3	40	7
4	58	7
5	70	7
6	74	7
7	77	7
0	77	7

start0.0ms (0%)

analyze0.0ms (0%)

sample749.0ms (55%)

explain83.0ms (6.1%)

preprocess17.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series9.0ms (0.6%)

rewrite170.0ms (12.5%)

eval8.0ms (0.6%)

prune25.0ms (1.9%)

series8.0ms (0.6%)

rewrite160.0ms (11.7%)

eval11.0ms (0.8%)

prune43.0ms (3.2%)

regimes11.0ms (0.8%)

regimes7.0ms (0.5%)

simplify10.0ms (0.7%)

derivations33.0ms (2.4%)

preprocess16.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	37	109
1	66	109
2	123	109
3	190	109
4	214	109
5	217	109
0	7	7
0	10	7
1	15	7
2	24	7
3	40	7
4	58	7
5	70	7
6	74	7
7	77	7
0	77	7