Metrics for math.cube on complex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 21 to 13 computations (38.1% saved)

sample2.0s (47.6%)

Memory

-91.2MiB live, 2 207.2MiB allocated; 1.4s collecting garbage

Samples

1.6s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 743.0ms

ival-mult: 455.0ms (61.3% of total)

ival-sub: 243.0ms (32.7% of total)

ival-add: 40.0ms (5.4% of total)

ival-assert: 3.0ms (0.4% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

explain218.0ms (5.2%)

Memory

-7.2MiB live, 377.3MiB allocated; 112ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
19	-	-	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
12	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
10	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
0	-	-	`(*.f64 x.re x.im)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`
0	-	-	`x.re`
0	-	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`	nan-rescue	19	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	127
↳	`(*.f64 x.re x.re)`	overflow	69
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	115
↳	`(*.f64 x.im x.im)`	overflow	58
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	67
↳	`(*.f64 x.im x.re)`	overflow	33
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	33
↳	`(*.f64 x.re x.im)`	overflow	33
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	12	0
↳	`(*.f64 x.re x.re)`	overflow	69
↳	`(*.f64 x.im x.im)`	overflow	58
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	10	0

Confusion

	Predicted +	Predicted -
+	35	0
-	0	221

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	35	0	0
-	0	0	221

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	221
1	29
2	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 21.0ms (65.5% of total)

ival-sub: 8.0ms (24.9% of total)

ival-add: 2.0ms (6.2% of total)

ival-true: 1.0ms (3.1% of total)

adjust: 0.0ms (0% of total)

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

preprocess259.0ms (6.1%)

Memory

22.5MiB live, 437.7MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	118
1	121	104
2	418	102
3	1190	67
4	4057	66
0	11	19
0	20	19
1	43	17
2	140	17
3	482	14
4	1384	11
5	4695	11
0	8744	10

Stop Event

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

Calls

Call 1

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

Outputs

(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

(*.f64 (fma.f64 x.im (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.re)) x.re)

Symmetry

(abs x.im)

(negabs x.re)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.5%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Compiler

Compiled 19 to 11 computations (42.1% saved)

series18.0ms (0.4%)

Memory

-16.6MiB live, 35.6MiB allocated; 6ms collecting garbage

Counts

11 → 29

Calls

Call 1

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

Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* -1 (* (pow x.im 2) x.re))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* -1 (pow x.im 2))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (- (pow x.re 2) (pow x.im 2))))
#s(approx (* x.re x.re) #s(hole binary64 (pow x.re 2)))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (* (+ (* x.re x.im) (* x.im x.re)) x.im) #s(hole binary64 (* 2 (* (pow x.im 2) x.re))))
#s(approx (+ (* x.re x.im) (* x.im x.re)) #s(hole binary64 (* 2 (* x.im x.re))))
#s(approx (* x.re x.im) #s(hole binary64 (* x.im x.re)))
#s(approx (* x.im x.re) #s(hole binary64 (* x.im x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (pow x.re 3)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (pow x.re 3)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (pow x.re 2)))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (+ (* -1 (pow x.im 2)) (pow x.re 2))))
#s(approx (* x.im x.im) #s(hole binary64 (pow x.im 2)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x.im	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) x.re (* x.im x.im) x.im (* (+ (* x.re x.im) (* x.im x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re))
3.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) x.re (* x.im x.im) x.im (* (+ (* x.re x.im) (* x.im x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re))
2.0ms	x.re	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) x.re (* x.im x.im) x.im (* (+ (* x.re x.im) (* x.im x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re))
2.0ms	x.re	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) x.re (* x.im x.im) x.im (* (+ (* x.re x.im) (* x.im x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re))
2.0ms	x.im	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) x.re (* x.im x.im) x.im (* (+ (* x.re x.im) (* x.im x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re))

rewrite65.0ms (1.5%)

Memory

9.7MiB live, 101.6MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	660
0	117	603
0	484	597

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

40 → 75

Calls

Call 1

Inputs
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* -1 (* (pow x.im 2) x.re))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* -1 (pow x.im 2))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (- (pow x.re 2) (pow x.im 2))))
#s(approx (* x.re x.re) #s(hole binary64 (pow x.re 2)))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (* (+ (* x.re x.im) (* x.im x.re)) x.im) #s(hole binary64 (* 2 (* (pow x.im 2) x.re))))
#s(approx (+ (* x.re x.im) (* x.im x.re)) #s(hole binary64 (* 2 (* x.im x.re))))
#s(approx (* x.re x.im) #s(hole binary64 (* x.im x.re)))
#s(approx (* x.im x.re) #s(hole binary64 (* x.im x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (pow x.re 3)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (pow x.re 3)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (pow x.re 2)))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (+ (* -1 (pow x.im 2)) (pow x.re 2))))
#s(approx (* x.im x.im) #s(hole binary64 (pow x.im 2)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))))

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

eval9.0ms (0.2%)

Memory: 18.6MiB live, 18.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 108 to 302 computations (85.7% saved)

prune6.0ms (0.2%)

Memory

15.0MiB live, 15.0MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	79	8	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	8	88

Accuracy

96.9%

Counts

88 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.8%	(fma.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.im))
▶	29.8%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) (fma.f64 (.f64 x.im x.re) (.f64 x.im x.re) (-.f64 (.f64 (.f64 x.im x.re) (.f64 x.im x.re)) (.f64 (.f64 x.im x.re) (.f64 x.im x.re))))) x.im))
▶	69.0%	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	49.7%	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (neg.f64 (.f64 x.im x.im))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	60.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
▶	93.9%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (-.f64 (fma.f64 x.re x.re (neg.f64 (.f64 x.im x.im))) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) x.re))
	49.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
▶	49.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))

Compiler

Compiled 444 to 238 computations (46.4% saved)

series85.0ms (2%)

Memory

-32.8MiB live, 117.0MiB allocated; 31ms collecting garbage

Counts

40 → 115

Calls

Call 1

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

Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (* -1 (* x.re (+ (* 2 (pow x.im 2)) (pow x.im 2))))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (* x.re (+ (* -1 (+ (* 2 (pow x.im 2)) (pow x.im 2))) (pow x.re 2)))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (* -1 (+ (* 2 (pow x.im 2)) (pow x.im 2)))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (- (pow x.re 2) (+ (* 2 (pow x.im 2)) (pow x.im 2)))))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) #s(hole binary64 (* -1 (pow x.im 2))))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) #s(hole binary64 (- (pow x.re 2) (pow x.im 2))))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (* (* x.re -3) (* x.im x.im)) #s(hole binary64 (* -3 (* (pow x.im 2) x.re))))
#s(approx (* x.re -3) #s(hole binary64 (* -3 x.re)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* -1 (* (pow x.im 2) x.re))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* -1 (pow x.im 2))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (- (pow x.re 2) (pow x.im 2))))
#s(approx (* x.re x.re) #s(hole binary64 (pow x.re 2)))
#s(approx (* (+ (* x.re x.im) (* x.im x.re)) x.im) #s(hole binary64 (* 2 (* (pow x.im 2) x.re))))
#s(approx (+ (* x.re x.im) (* x.im x.re)) #s(hole binary64 (* 2 (* x.im x.re))))
#s(approx (* x.re x.im) #s(hole binary64 (* x.im x.re)))
#s(approx (* x.im x.re) #s(hole binary64 (* x.im x.re)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (* -1 (pow x.im 2))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))
#s(approx (+ x.re x.im) #s(hole binary64 x.im))
#s(approx (+ x.re x.im) #s(hole binary64 (+ x.im x.re)))
#s(approx (- x.re x.im) #s(hole binary64 (* -1 x.im)))
#s(approx (- x.re x.im) #s(hole binary64 (- x.re x.im)))
#s(approx (* (neg (* 2 (* x.im x.re))) x.im) #s(hole binary64 (* -2 (* (pow x.im 2) x.re))))
#s(approx (neg (* 2 (* x.im x.re))) #s(hole binary64 (* -2 (* x.im x.re))))
#s(approx (* 2 (* x.im x.re)) #s(hole binary64 (* 2 (* x.im x.re))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im)) #s(hole binary64 (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im)) #s(hole binary64 (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))))
#s(approx (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im) #s(hole binary64 (* 2 (* (pow x.im 2) x.re))))
#s(approx (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) #s(hole binary64 (* 2 (* x.im x.re))))
#s(approx (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) #s(hole binary64 (* 2 (* (pow x.im 3) (pow x.re 3)))))
#s(approx (pow (* x.im x.re) 3) #s(hole binary64 (* (pow x.im 3) (pow x.re 3))))
#s(approx (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re)))) #s(hole binary64 (* (pow x.im 2) (pow x.re 2))))
#s(approx (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))) #s(hole binary64 0))
#s(approx (* (* x.im x.re) (* x.im x.re)) #s(hole binary64 (* (pow x.im 2) (pow x.re 2))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (pow x.re 3)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (pow x.re 3)))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (pow x.re 2)))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (* (pow x.re 2) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) #s(hole binary64 (pow x.re 2)))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) #s(hole binary64 (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (pow x.re 3)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (pow x.re 2)))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (pow x.re 3)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (pow x.re 2)))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))))
#s(approx (+ x.re x.im) #s(hole binary64 x.re))
#s(approx (+ x.re x.im) #s(hole binary64 (* x.re (+ 1 (/ x.im x.re)))))
#s(approx (- x.re x.im) #s(hole binary64 x.re))
#s(approx (- x.re x.im) #s(hole binary64 (* x.re (+ 1 (* -1 (/ x.im x.re))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im)) #s(hole binary64 (pow x.re 3)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (* -1 (* (pow x.re 3) (- (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))) 1)))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1)))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (/ (pow x.im 2) x.re)) x.re))))))
#s(approx (+ x.re x.im) #s(hole binary64 (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))))
#s(approx (- x.re x.im) #s(hole binary64 (* -1 (* x.re (- (/ x.im x.re) 1)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (+ (* -3 (pow x.im 2)) (pow x.re 2))))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) #s(hole binary64 (+ (* -1 (pow x.im 2)) (pow x.re 2))))
#s(approx (neg (* x.im x.im)) #s(hole binary64 (* -1 (pow x.im 2))))
#s(approx (* x.im x.im) #s(hole binary64 (pow x.im 2)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (* (* x.im x.im) 2) #s(hole binary64 (* 2 (pow x.im 2))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (+ (* -1 (pow x.im 2)) (pow x.re 2))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (+ (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
#s(approx (- x.re x.im) #s(hole binary64 (+ x.re (* -1 x.im))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im)) #s(hole binary64 (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (* -3 (* (pow x.im 2) x.re))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (* -3 (pow x.im 2))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) #s(hole binary64 (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))))
#s(approx (+ x.re x.im) #s(hole binary64 (* x.im (+ 1 (/ x.re x.im)))))
#s(approx (- x.re x.im) #s(hole binary64 (* x.im (- (/ x.re x.im) 1))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im)) #s(hole binary64 (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im)) #s(hole binary64 (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (* (pow x.im 2) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (* (pow x.im 2) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))) x.im)) 1))))
#s(approx (+ x.re x.im) #s(hole binary64 (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))))
#s(approx (- x.re x.im) #s(hole binary64 (* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))))

Calls

6 calls:

Time	Variable		Point	Expression
47.0ms	x.im	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (+ (* x.re x.re) (neg (* x.im x.im))) x.re (neg (* x.im x.im)) (* x.im x.im) x.im (* (* x.im x.im) 2) 2 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re -3) (* x.im x.im)) (* x.re -3) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re) (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (* (+ x.re x.im) (- x.re x.im)) (+ x.re x.im) (- x.re x.im) (* (neg (* 2 (* x.im x.re))) x.im) (neg (* 2 (* x.im x.re))) (* 2 (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im) (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (pow (* x.im x.re) 3) 3 (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re)))) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))) (* (* x.im x.re) (* x.im x.re)))
8.0ms	x.re	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (+ (* x.re x.re) (neg (* x.im x.im))) x.re (neg (* x.im x.im)) (* x.im x.im) x.im (* (* x.im x.im) 2) 2 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re -3) (* x.im x.im)) (* x.re -3) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re) (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (* (+ x.re x.im) (- x.re x.im)) (+ x.re x.im) (- x.re x.im) (* (neg (* 2 (* x.im x.re))) x.im) (neg (* 2 (* x.im x.re))) (* 2 (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im) (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (pow (* x.im x.re) 3) 3 (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re)))) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))) (* (* x.im x.re) (* x.im x.re)))
6.0ms	x.im	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (+ (* x.re x.re) (neg (* x.im x.im))) x.re (neg (* x.im x.im)) (* x.im x.im) x.im (* (* x.im x.im) 2) 2 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re -3) (* x.im x.im)) (* x.re -3) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re) (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (* (+ x.re x.im) (- x.re x.im)) (+ x.re x.im) (- x.re x.im) (* (neg (* 2 (* x.im x.re))) x.im) (neg (* 2 (* x.im x.re))) (* 2 (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im) (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (pow (* x.im x.re) 3) 3 (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re)))) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))) (* (* x.im x.re) (* x.im x.re)))
6.0ms	x.re	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (+ (* x.re x.re) (neg (* x.im x.im))) x.re (neg (* x.im x.im)) (* x.im x.im) x.im (* (* x.im x.im) 2) 2 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re -3) (* x.im x.im)) (* x.re -3) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re) (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (* (+ x.re x.im) (- x.re x.im)) (+ x.re x.im) (- x.re x.im) (* (neg (* 2 (* x.im x.re))) x.im) (neg (* 2 (* x.im x.re))) (* 2 (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im) (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (pow (* x.im x.re) 3) 3 (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re)))) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))) (* (* x.im x.re) (* x.im x.re)))
5.0ms	x.im	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (+ (* x.re x.re) (neg (* x.im x.im))) x.re (neg (* x.im x.im)) (* x.im x.im) x.im (* (* x.im x.im) 2) 2 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re -3) (* x.im x.im)) (* x.re -3) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re) (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (* (+ x.re x.im) (- x.re x.im)) (+ x.re x.im) (- x.re x.im) (* (neg (* 2 (* x.im x.re))) x.im) (neg (* 2 (* x.im x.re))) (* 2 (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im) (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (pow (* x.im x.re) 3) 3 (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re)))) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))) (* (* x.im x.re) (* x.im x.re)))

rewrite316.0ms (7.5%)

Memory

44.3MiB live, 305.9MiB allocated; 70ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	393	3340
0	452	2511
1	2204	2468
0	9800	2417

Stop Event

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

Counts

155 → 671

Calls

Call 1

Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (-.f64 (fma.f64 x.re x.re (neg.f64 (.f64 x.im x.im))) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) x.re))
(.f64 (-.f64 (fma.f64 x.re x.re (neg.f64 (.f64 x.im x.im))) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) x.re)
(-.f64 (fma.f64 x.re x.re (neg.f64 (.f64 x.im x.im))) (.f64 (*.f64 x.im x.im) #s(literal 2 binary64)))
(fma.f64 x.re x.re (neg.f64 (*.f64 x.im x.im)))
x.re
(neg.f64 (*.f64 x.im x.im))
(*.f64 x.im x.im)
x.im
(.f64 (.f64 x.im x.im) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))
(.f64 (.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
(*.f64 x.re #s(literal -3 binary64))
#s(literal -3 binary64)
(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(fma.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.im))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(+.f64 x.re x.im)
(-.f64 x.re x.im)
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.im)
(neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re)))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) (fma.f64 (.f64 x.im x.re) (.f64 x.im x.re) (-.f64 (.f64 (.f64 x.im x.re) (.f64 x.im x.re)) (.f64 (.f64 x.im x.re) (.f64 x.im x.re))))) x.im))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) (fma.f64 (.f64 x.im x.re) (.f64 x.im x.re) (-.f64 (.f64 (.f64 x.im x.re) (.f64 x.im x.re)) (.f64 (.f64 x.im x.re) (*.f64 x.im x.re))))) x.im)
(/.f64 (+.f64 (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) (fma.f64 (.f64 x.im x.re) (.f64 x.im x.re) (-.f64 (.f64 (.f64 x.im x.re) (.f64 x.im x.re)) (.f64 (.f64 x.im x.re) (.f64 x.im x.re)))))
(+.f64 (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)))
(pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 (.f64 x.im x.re) (.f64 x.im x.re) (-.f64 (.f64 (.f64 x.im x.re) (.f64 x.im x.re)) (.f64 (.f64 x.im x.re) (.f64 x.im x.re))))
(-.f64 (.f64 (.f64 x.im x.re) (.f64 x.im x.re)) (.f64 (.f64 x.im x.re) (.f64 x.im x.re)))
(.f64 (.f64 x.im x.re) (*.f64 x.im x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (* -1 (* x.re (+ (* 2 (pow x.im 2)) (pow x.im 2))))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (* x.re (+ (* -1 (+ (* 2 (pow x.im 2)) (pow x.im 2))) (pow x.re 2)))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (* -1 (+ (* 2 (pow x.im 2)) (pow x.im 2)))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (- (pow x.re 2) (+ (* 2 (pow x.im 2)) (pow x.im 2)))))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) #s(hole binary64 (* -1 (pow x.im 2))))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) #s(hole binary64 (- (pow x.re 2) (pow x.im 2))))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (* (* x.re -3) (* x.im x.im)) #s(hole binary64 (* -3 (* (pow x.im 2) x.re))))
#s(approx (* x.re -3) #s(hole binary64 (* -3 x.re)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* -1 (* (pow x.im 2) x.re))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* -1 (pow x.im 2))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (- (pow x.re 2) (pow x.im 2))))
#s(approx (* x.re x.re) #s(hole binary64 (pow x.re 2)))
#s(approx (* (+ (* x.re x.im) (* x.im x.re)) x.im) #s(hole binary64 (* 2 (* (pow x.im 2) x.re))))
#s(approx (+ (* x.re x.im) (* x.im x.re)) #s(hole binary64 (* 2 (* x.im x.re))))
#s(approx (* x.re x.im) #s(hole binary64 (* x.im x.re)))
#s(approx (* x.im x.re) #s(hole binary64 (* x.im x.re)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (* -1 (pow x.im 2))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))
#s(approx (+ x.re x.im) #s(hole binary64 x.im))
#s(approx (+ x.re x.im) #s(hole binary64 (+ x.im x.re)))
#s(approx (- x.re x.im) #s(hole binary64 (* -1 x.im)))
#s(approx (- x.re x.im) #s(hole binary64 (- x.re x.im)))
#s(approx (* (neg (* 2 (* x.im x.re))) x.im) #s(hole binary64 (* -2 (* (pow x.im 2) x.re))))
#s(approx (neg (* 2 (* x.im x.re))) #s(hole binary64 (* -2 (* x.im x.re))))
#s(approx (* 2 (* x.im x.re)) #s(hole binary64 (* 2 (* x.im x.re))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im)) #s(hole binary64 (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im)) #s(hole binary64 (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))))
#s(approx (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im) #s(hole binary64 (* 2 (* (pow x.im 2) x.re))))
#s(approx (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) #s(hole binary64 (* 2 (* x.im x.re))))
#s(approx (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) #s(hole binary64 (* 2 (* (pow x.im 3) (pow x.re 3)))))
#s(approx (pow (* x.im x.re) 3) #s(hole binary64 (* (pow x.im 3) (pow x.re 3))))
#s(approx (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re)))) #s(hole binary64 (* (pow x.im 2) (pow x.re 2))))
#s(approx (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))) #s(hole binary64 0))
#s(approx (* (* x.im x.re) (* x.im x.re)) #s(hole binary64 (* (pow x.im 2) (pow x.re 2))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (pow x.re 3)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (pow x.re 3)))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (pow x.re 2)))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (* (pow x.re 2) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) #s(hole binary64 (pow x.re 2)))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) #s(hole binary64 (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (pow x.re 3)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (pow x.re 2)))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (pow x.re 3)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (pow x.re 2)))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))))
#s(approx (+ x.re x.im) #s(hole binary64 x.re))
#s(approx (+ x.re x.im) #s(hole binary64 (* x.re (+ 1 (/ x.im x.re)))))
#s(approx (- x.re x.im) #s(hole binary64 x.re))
#s(approx (- x.re x.im) #s(hole binary64 (* x.re (+ 1 (* -1 (/ x.im x.re))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im)) #s(hole binary64 (pow x.re 3)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (* -1 (* (pow x.re 3) (- (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))) 1)))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1)))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (/ (pow x.im 2) x.re)) x.re))))))
#s(approx (+ x.re x.im) #s(hole binary64 (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))))
#s(approx (- x.re x.im) #s(hole binary64 (* -1 (* x.re (- (/ x.im x.re) 1)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (+ (* -3 (pow x.im 2)) (pow x.re 2))))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) #s(hole binary64 (+ (* -1 (pow x.im 2)) (pow x.re 2))))
#s(approx (neg (* x.im x.im)) #s(hole binary64 (* -1 (pow x.im 2))))
#s(approx (* x.im x.im) #s(hole binary64 (pow x.im 2)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (* (* x.im x.im) 2) #s(hole binary64 (* 2 (pow x.im 2))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (+ (* -1 (pow x.im 2)) (pow x.re 2))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (+ (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
#s(approx (- x.re x.im) #s(hole binary64 (+ x.re (* -1 x.im))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im)) #s(hole binary64 (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (* -3 (* (pow x.im 2) x.re))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) #s(hole binary64 (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (* -3 (pow x.im 2))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) #s(hole binary64 (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) #s(hole binary64 (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))))
#s(approx (+ x.re x.im) #s(hole binary64 (* x.im (+ 1 (/ x.re x.im)))))
#s(approx (- x.re x.im) #s(hole binary64 (* x.im (- (/ x.re x.im) 1))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im)) #s(hole binary64 (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im)) #s(hole binary64 (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (* (pow x.im 2) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) #s(hole binary64 (* (pow x.im 2) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))) x.im)) 1))))
#s(approx (+ x.re x.im) #s(hole binary64 (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))))
#s(approx (- x.re x.im) #s(hole binary64 (* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))))

Outputs
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
(.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 x.im) x.im) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 (neg.f64 x.im) x.im) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) #s(literal 2 binary64))) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (*.f64 (neg.f64 x.im) x.im) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 3 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.im)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 #s(literal -2 binary64) (*.f64 x.im x.im))))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x.im #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) (-.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 x.im) x.im) (-.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 x.im x.im) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (.f64 (*.f64 x.im x.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x.im #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 x.im x.im) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (*.f64 x.im x.im) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.re x.re))))))
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(exp.f64 (.f64 (log.f64 (.f64 x.im x.re)) #s(literal 2 binary64)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (.f64 (neg.f64 x.re) (.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (.f64 (fma.f64 x.re x.re (neg.f64 (.f64 #s(literal 3 binary64) (*.f64 x.im x.im)))) x.re))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (neg.f64 (.f64 #s(literal 3 binary64) (.f64 x.im x.im))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (-.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (*.f64 (neg.f64 x.im) x.im))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
#s(approx x.re x.re)
#s(approx (* (* x.re -3) (* x.im x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (* x.re -3) (*.f64 #s(literal -3 binary64) x.re))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.im) x.re))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (*.f64 (neg.f64 x.im) x.im))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
#s(approx (* x.re x.re) (*.f64 x.re x.re))
#s(approx (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)))
#s(approx (* 2 (* x.im x.re)) (.f64 (.f64 x.im x.re) #s(literal 2 binary64)))
#s(approx (* x.im x.re) (*.f64 x.im x.re))
#s(approx (* x.im x.re) (*.f64 x.im x.re))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (.f64 #s(literal 0 binary64) x.im) x.re)) x.re))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x.im x.re) x.im) x.re)) x.re))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (*.f64 (neg.f64 x.im) x.im))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (fma.f64 (neg.f64 x.im) x.im (.f64 (.f64 #s(literal 0 binary64) x.im) x.re)))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (fma.f64 (neg.f64 x.im) x.im (*.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x.im x.re) x.im) x.re)))
#s(approx (+ x.re x.im) x.im)
#s(approx (+ x.re x.im) (+.f64 x.im x.re))
#s(approx (- x.re x.im) (neg.f64 x.im))
#s(approx (- x.re x.im) (-.f64 x.re x.im))
#s(approx (* (neg (* 2 (* x.im x.re))) x.im) (.f64 (.f64 #s(literal -2 binary64) (*.f64 x.im x.im)) x.re))
#s(approx (neg (* 2 (* x.im x.re))) (.f64 #s(literal -2 binary64) (.f64 x.im x.re)))
#s(approx (* 2 (* x.im x.re)) (.f64 (.f64 x.im x.re) #s(literal 2 binary64)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
#s(approx (* (/ (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))))) x.im) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)))
#s(approx (* 2 (* x.im x.re)) (.f64 (.f64 x.im x.re) #s(literal 2 binary64)))
#s(approx (+ (pow (* x.im x.re) 3) (pow (* x.im x.re) 3)) (.f64 (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)) #s(literal 2 binary64)))
#s(approx (pow (* x.im x.re) 3) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))
#s(approx (+ (* (* x.im x.re) (* x.im x.re)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re)))) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
#s(approx (- (* (* x.im x.re) (* x.im x.re)) (* (* x.im x.re) (* x.im x.re))) #s(literal 0 binary64))
#s(approx (* (* x.im x.re) (* x.im x.re)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x.re x.re)))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (*.f64 x.re x.re))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (.f64 (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 x.re x.re)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (*.f64 x.re x.re))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (.f64 (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 x.re x.re)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (*.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -2 binary64) (fma.f64 (/.f64 x.im x.re) #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64) (/.f64 x.im x.re)))) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (*.f64 x.re x.re))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re)))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64) (/.f64 x.im x.re))) (.f64 x.re x.re)))
#s(approx (+ x.re x.im) x.re)
#s(approx (+ x.re x.im) (*.f64 (+.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) x.re))
#s(approx (- x.re x.im) x.re)
#s(approx (- x.re x.im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.re))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (neg.f64 (.f64 #s(literal 0 binary64) (/.f64 x.im x.re))) #s(literal 1 binary64))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) x.im (/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) x.re)) x.re)) #s(literal 1 binary64))))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.im) #s(literal -1 binary64) (/.f64 (.f64 x.im x.im) x.re)) x.re) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 x.re x.re)))
#s(approx (+ x.re x.im) (*.f64 (neg.f64 x.re) (-.f64 (/.f64 (neg.f64 x.im) x.re) #s(literal 1 binary64))))
#s(approx (- x.re x.im) (*.f64 (neg.f64 x.re) (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (fma.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (fma.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
#s(approx (neg (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))
#s(approx (* x.im x.im) (*.f64 x.im x.im))
#s(approx x.im x.im)
#s(approx (* (* x.im x.im) 2) (.f64 (.f64 x.im x.im) #s(literal 2 binary64)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (fma.f64 (.f64 (.f64 #s(literal 0 binary64) x.re) x.re) x.im (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (fma.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) x.re (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im)) x.im (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (fma.f64 (.f64 #s(literal 0 binary64) x.re) x.im (.f64 x.re x.re)))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x.im x.re) x.re) x.im (*.f64 x.re x.re)))
#s(approx (- x.re x.im) (fma.f64 #s(literal -1 binary64) x.im x.re))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (fma.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im)) (neg.f64 x.re)) (.f64 #s(literal 2 binary64) x.re)) (.f64 x.im x.im)))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (.f64 (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im))) (*.f64 x.im x.im)))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x.im x.im)))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x.im x.im)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (+.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im)) (neg.f64 x.re)) (*.f64 x.im x.im)))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x.im x.im)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) x.re (/.f64 (.f64 (.f64 #s(literal 0 binary64) x.re) x.re) x.im)) (.f64 x.im x.im)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) x.re (fma.f64 x.re (.f64 #s(literal 0 binary64) (/.f64 x.re x.im)) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im)))) (.f64 x.im x.im)))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64)) (*.f64 x.im x.im)))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x.re x.im) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 x.im x.im)))
#s(approx (+ x.re x.im) (*.f64 (+.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im))
#s(approx (- x.re x.im) (*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im)) (neg.f64 x.re)) (.f64 #s(literal 2 binary64) x.re)) (.f64 x.im x.im)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) x.re (neg.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) x.re) x.re) x.im))) (.f64 x.im x.im)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) x.re (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) x.re (/.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) x.im)) x.im))) (*.f64 x.im x.im)))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (.f64 (-.f64 (neg.f64 (.f64 #s(literal 0 binary64) (/.f64 x.re x.im))) #s(literal 1 binary64)) (*.f64 x.im x.im)))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) x.re (neg.f64 (/.f64 (.f64 x.re x.re) x.im))) x.im)) #s(literal 1 binary64)) (*.f64 x.im x.im)))
#s(approx (+ x.re x.im) (*.f64 (neg.f64 x.im) (-.f64 (/.f64 (neg.f64 x.re) x.im) #s(literal 1 binary64))))
#s(approx (- x.re x.im) (*.f64 (neg.f64 x.im) (-.f64 #s(literal 1 binary64) (/.f64 x.re x.im))))

eval90.0ms (2.1%)

Memory: -5.1MiB live, 188.7MiB allocated; 50ms collecting garbage
Compiler: Compiled 27 658 to 2 656 computations (90.4% saved)

prune28.0ms (0.7%)

Memory

-21.3MiB live, 83.2MiB allocated; 15ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	673	5	678
Fresh	1	2	3
Picked	4	1	5
Done	0	0	0
Total	678	8	686

Accuracy

100.0%

Counts

686 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.4%	(fma.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
▶	63.5%	(fma.f64 (.f64 #s(approx (+ x.re x.im) x.im) (-.f64 x.re x.im)) x.re (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.im))
	60.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
▶	93.9%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (.f64 #s(literal -2 binary64) (*.f64 x.im x.im))) x.re))
▶	49.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
▶	53.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
✓	49.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))
▶	60.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (- (+ ( x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re))

Compiler

Compiled 399 to 230 computations (42.4% saved)

series24.0ms (0.6%)

Memory

22.7MiB live, 68.3MiB allocated; 3ms collecting garbage

Counts

30 → 116

Calls

Call 1

Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (.f64 #s(literal -2 binary64) (*.f64 x.im x.im))) x.re))
(.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (.f64 #s(literal -2 binary64) (*.f64 x.im x.im))) x.re)
(fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.im)))
(-.f64 x.re x.im)
x.re
x.im
(+.f64 x.im x.re)
(.f64 #s(literal -2 binary64) (.f64 x.im x.im))
#s(literal -2 binary64)
(*.f64 x.im x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (- (+ ( x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re))
(.f64 #s(approx (- (+ ( x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re)
#s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(.f64 (.f64 #s(literal -3 binary64) x.re) x.im)
(*.f64 #s(literal -3 binary64) x.re)
#s(literal -3 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
(fma.f64 (.f64 #s(approx (+ x.re x.im) x.im) (-.f64 x.re x.im)) x.re (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.im))
(*.f64 #s(approx (+ x.re x.im) x.im) (-.f64 x.re x.im))
#s(approx (+ x.re x.im) x.im)
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.im)
(neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re)))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
#s(literal 2 binary64)
(*.f64 x.im x.re)

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x.re	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (- x.re x.im) x.re x.im (+ x.im x.re) (* -2 (* x.im x.im)) -2 (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 x.re) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (* (+ x.re x.im) (- x.re x.im)) (+ x.re x.im) (* (neg (* 2 (* x.im x.re))) x.im) (neg (* 2 (* x.im x.re))) (* 2 (* x.im x.re)) 2 (* x.im x.re))
3.0ms	x.im	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (- x.re x.im) x.re x.im (+ x.im x.re) (* -2 (* x.im x.im)) -2 (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 x.re) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (* (+ x.re x.im) (- x.re x.im)) (+ x.re x.im) (* (neg (* 2 (* x.im x.re))) x.im) (neg (* 2 (* x.im x.re))) (* 2 (* x.im x.re)) 2 (* x.im x.re))
3.0ms	x.im	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (- x.re x.im) x.re x.im (+ x.im x.re) (* -2 (* x.im x.im)) -2 (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 x.re) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (* (+ x.re x.im) (- x.re x.im)) (+ x.re x.im) (* (neg (* 2 (* x.im x.re))) x.im) (neg (* 2 (* x.im x.re))) (* 2 (* x.im x.re)) 2 (* x.im x.re))
3.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (- x.re x.im) x.re x.im (+ x.im x.re) (* -2 (* x.im x.im)) -2 (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 x.re) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (* (+ x.re x.im) (- x.re x.im)) (+ x.re x.im) (* (neg (* 2 (* x.im x.re))) x.im) (neg (* 2 (* x.im x.re))) (* 2 (* x.im x.re)) 2 (* x.im x.re))
3.0ms	x.re	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (- x.re x.im) x.re x.im (+ x.im x.re) (* -2 (* x.im x.im)) -2 (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 x.re) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (* (+ x.re x.im) (- x.re x.im)) (+ x.re x.im) (* (neg (* 2 (* x.im x.re))) x.im) (neg (* 2 (* x.im x.re))) (* 2 (* x.im x.re)) 2 (* x.im x.re))

rewrite413.0ms (9.8%)

Memory

-9.7MiB live, 512.4MiB allocated; 100ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	405	3199
0	435	2670
1	2377	2634
0	10810	2504

Stop Event

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

Counts

146 → 391

Calls

Call 1

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

Outputs
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
(.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 x.im) x.im) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 (neg.f64 x.im) x.im) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) #s(literal 2 binary64))) (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) (.f64 (*.f64 (neg.f64 x.im) x.im) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 x.im x.im) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x.im x.im) #s(literal -2 binary64)) (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re))))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x.im #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) (-.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 x.im) x.im) (-.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 x.im x.im) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (+.f64 x.im x.re) (-.f64 x.re x.im) (.f64 (*.f64 x.im x.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 x.im x.im) #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x.im #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 x.im x.im) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) (.f64 (*.f64 x.im x.im) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.re x.re))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) #s(literal 3 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 x.im #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 x.im x.im) #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) (.f64 (*.f64 x.im x.im) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 x.im x.im) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (+.f64 x.im x.re) (-.f64 x.re x.im) (.f64 (*.f64 x.im x.im) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 x.im x.im) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) #s(literal -2 binary64))))
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(fma.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im (.f64 #s(approx (+ x.im x.re) x.im) (.f64 (-.f64 x.re x.im) x.re)))
(fma.f64 (.f64 (-.f64 x.re x.im) #s(approx (+ x.im x.re) x.im)) x.re (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 #s(approx (+ x.im x.re) x.im) (.f64 (-.f64 x.re x.im) x.re) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(fma.f64 x.im (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) (.f64 #s(approx (+ x.im x.re) x.im) (.f64 (-.f64 x.re x.im) x.re)))
(fma.f64 x.re (.f64 (-.f64 x.re x.im) #s(approx (+ x.im x.re) x.im)) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x.im x.re) x.im) (.f64 (-.f64 x.re x.im) x.re)) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ x.im x.re) x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ x.im x.re) x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (.f64 #s(literal -2 binary64) (*.f64 x.im x.re)) x.im))))
(-.f64 (.f64 #s(approx (+ x.im x.re) x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (neg.f64 (.f64 #s(literal -2 binary64) (*.f64 x.im x.re))) x.im))
(-.f64 (.f64 #s(approx (+ x.im x.re) x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.im))
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(+.f64 (.f64 #s(approx (+ x.im x.re) x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (.f64 #s(literal -2 binary64) (*.f64 x.im x.re)) x.im))
(+.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im) (.f64 #s(approx (+ x.im x.re) x.im) (*.f64 (-.f64 x.re x.im) x.re)))
(*.f64 (-.f64 x.re x.im) #s(approx (+ x.im x.re) x.im))
(*.f64 #s(approx (+ x.im x.re) x.im) (-.f64 x.re x.im))
#s(approx (+ x.im x.re) x.im)
(.f64 (.f64 #s(literal -2 binary64) (*.f64 x.im x.re)) x.im)
(.f64 x.im (.f64 #s(literal -2 binary64) (*.f64 x.im x.re)))
(neg.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.im))
(.f64 (.f64 #s(literal -2 binary64) x.im) x.re)
(.f64 #s(literal 2 binary64) (neg.f64 (.f64 x.im x.re)))
(.f64 #s(literal -2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im x.re) #s(literal -2 binary64))
(neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re)))
(.f64 (.f64 #s(literal 2 binary64) x.im) x.re)
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 x.im x.re) (.f64 x.im x.re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))) (-.f64 (.f64 x.im x.re) (.f64 x.im x.re)))
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(fma.f64 x.im x.re (*.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.im x.re))
(-.f64 (/.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) (-.f64 (.f64 x.im x.re) (.f64 x.im x.re))) (/.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) (-.f64 (.f64 x.im x.re) (.f64 x.im x.re))))
(-.f64 (.f64 x.im x.re) (.f64 (neg.f64 x.im) x.re))
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(+.f64 (.f64 x.im x.re) (.f64 x.im x.re))
#s(literal 2 binary64)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
#s(approx (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (.f64 #s(literal 0 binary64) x.im) x.re)) x.re))
#s(approx (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x.im x.re) x.im) x.re)) x.re))
#s(approx (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
#s(approx (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (*.f64 #s(literal 0 binary64) x.im) x.re)))
#s(approx (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x.im x.re) x.im) x.re)))
#s(approx (- x.re x.im) (neg.f64 x.im))
#s(approx (- x.re x.im) (-.f64 x.re x.im))
#s(approx x.re x.re)
#s(approx (+ x.im x.re) x.im)
#s(approx (+ x.im x.re) (+.f64 x.im x.re))
#s(approx (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (.f64 (neg.f64 x.re) (.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))
#s(approx (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (.f64 (fma.f64 x.re x.re (neg.f64 (.f64 #s(literal 3 binary64) (*.f64 x.im x.im)))) x.re))
#s(approx (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (neg.f64 (.f64 #s(literal 3 binary64) (.f64 x.im x.im))))
#s(approx (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (-.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))
#s(approx (* x.re x.re) (*.f64 x.re x.re))
#s(approx (* (* (* x.im x.im) -3) x.re) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (* (* -3 x.re) x.im) (.f64 (.f64 #s(literal -3 binary64) x.im) x.re))
#s(approx (* -3 x.re) (*.f64 #s(literal -3 binary64) x.re))
#s(approx (* (* (* x.im x.im) -3) x.re) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 (.f64 #s(literal 0 binary64) x.im) x.re)) x.re))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x.im x.re) x.im) x.re)) x.re))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (*.f64 (neg.f64 x.im) x.im))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (fma.f64 (neg.f64 x.im) x.im (.f64 (.f64 #s(literal 0 binary64) x.im) x.re)))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (fma.f64 (neg.f64 x.im) x.im (*.f64 (+.f64 (fma.f64 #s(literal -1 binary64) x.im x.re) x.im) x.re)))
#s(approx (+ x.im x.re) x.im)
#s(approx (+ x.im x.re) (+.f64 x.im x.re))
#s(approx (* (neg (* 2 (* x.im x.re))) x.im) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -2 binary64)))
#s(approx (neg (* 2 (* x.im x.re))) (.f64 #s(literal -2 binary64) (.f64 x.im x.re)))
#s(approx (* 2 (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.im x.re)))
#s(approx (* x.im x.re) (*.f64 x.im x.re))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (pow.f64 x.re #s(literal 3 binary64)))
#s(approx (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (*.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -2 binary64) (fma.f64 (/.f64 x.im x.re) #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64) (/.f64 x.im x.re)))) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (*.f64 x.re x.re))
#s(approx (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re)))
#s(approx (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -2 binary64) (fma.f64 (/.f64 x.im x.re) #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64) (/.f64 x.im x.re)))) #s(literal 1 binary64)) (.f64 x.re x.re)))
#s(approx (- x.re x.im) x.re)
#s(approx (- x.re x.im) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.re))
#s(approx (+ x.im x.re) x.re)
#s(approx (+ x.im x.re) (*.f64 (+.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) x.re))
#s(approx (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (pow.f64 x.re #s(literal 3 binary64)))
#s(approx (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (*.f64 x.re x.re))
#s(approx (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x.re x.re)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (*.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -2 binary64) (fma.f64 (/.f64 x.im x.re) #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64) (/.f64 x.im x.re)))) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (*.f64 x.re x.re))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re)))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64) (/.f64 x.im x.re))) (.f64 x.re x.re)))
#s(approx (+ x.im x.re) x.re)
#s(approx (+ x.im x.re) (*.f64 (+.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) x.re))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))))
#s(approx (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (neg.f64 (.f64 #s(literal 0 binary64) (/.f64 x.im x.re))) #s(literal 1 binary64))))
#s(approx (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (.f64 x.im x.im) x.re) #s(literal -2 binary64) (-.f64 (neg.f64 x.im) (/.f64 (*.f64 x.im x.im) x.re))) x.im) x.re)) #s(literal 1 binary64))))
#s(approx (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal 0 binary64) x.im (/.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) x.re))) x.re) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x.re x.re)))
#s(approx (- x.re x.im) (*.f64 (neg.f64 x.re) (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))
#s(approx (+ x.im x.re) (*.f64 (neg.f64 x.re) (-.f64 (/.f64 (neg.f64 x.im) x.re) #s(literal 1 binary64))))
#s(approx (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (neg.f64 (.f64 #s(literal 0 binary64) (/.f64 x.im x.re))) #s(literal 1 binary64))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) x.im (/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) x.re)) x.re)) #s(literal 1 binary64))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.im) #s(literal -1 binary64) (/.f64 (.f64 x.im x.im) x.re)) x.re) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 x.re x.re)))
#s(approx (+ x.im x.re) (*.f64 (neg.f64 x.re) (-.f64 (/.f64 (neg.f64 x.im) x.re) #s(literal 1 binary64))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (fma.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (fma.f64 (.f64 (.f64 #s(literal 0 binary64) x.re) x.re) x.im (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (fma.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.re (.f64 (*.f64 #s(literal 0 binary64) x.re) x.re)) x.im (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (fma.f64 (.f64 #s(literal 0 binary64) x.re) x.im (.f64 x.re x.re)))
#s(approx (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (fma.f64 (+.f64 (fma.f64 #s(literal -3 binary64) x.im (neg.f64 x.re)) x.re) x.im (*.f64 x.re x.re)))
#s(approx (- x.re x.im) (fma.f64 #s(literal -1 binary64) x.im x.re))
#s(approx x.im x.im)
#s(approx (* -2 (* x.im x.im)) (.f64 (.f64 x.im x.im) #s(literal -2 binary64)))
#s(approx (* x.im x.im) (*.f64 x.im x.im))
#s(approx (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (fma.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)))
#s(approx (* (* x.im x.im) -3) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (fma.f64 (.f64 (.f64 #s(literal 0 binary64) x.re) x.re) x.im (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (fma.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.re (.f64 (*.f64 #s(literal 0 binary64) x.re) x.re)) x.im (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (fma.f64 (.f64 #s(literal 0 binary64) x.re) x.im (.f64 x.re x.re)))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x.im x.re) x.re) x.im (*.f64 x.re x.re)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im)) (neg.f64 x.re)) (.f64 #s(literal 2 binary64) x.re)) (.f64 x.im x.im)))
#s(approx (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (.f64 (fma.f64 #s(literal -3 binary64) x.re (/.f64 (.f64 (.f64 #s(literal 0 binary64) x.re) x.re) x.im)) (.f64 x.im x.im)))
#s(approx (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (.f64 (fma.f64 #s(literal -3 binary64) x.re (fma.f64 x.re (.f64 #s(literal 0 binary64) (/.f64 x.re x.im)) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im)))) (.f64 x.im x.im)))
#s(approx (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
#s(approx (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x.re x.im)) #s(literal 3 binary64)) (*.f64 x.im x.im)))
#s(approx (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x.re x.im) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 x.im x.im)))
#s(approx (- x.re x.im) (*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im))
#s(approx (+ x.im x.re) (*.f64 (+.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im))
#s(approx (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (.f64 (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im))) (*.f64 x.im x.im)))
#s(approx (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
#s(approx (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x.im x.im)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) x.re (/.f64 (.f64 (.f64 #s(literal 0 binary64) x.re) x.re) x.im)) (.f64 x.im x.im)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) x.re (fma.f64 x.re (.f64 #s(literal 0 binary64) (/.f64 x.re x.im)) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im)))) (.f64 x.im x.im)))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64)) (*.f64 x.im x.im)))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x.re x.im) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 x.im x.im)))
#s(approx (+ x.im x.re) (*.f64 (+.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im))
#s(approx (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (.f64 (fma.f64 #s(literal -3 binary64) x.re (neg.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) x.re) x.re) x.im))) (.f64 x.im x.im)))
#s(approx (* (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) x.re) (.f64 (fma.f64 #s(literal -3 binary64) x.re (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) x.re (/.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) x.im)) x.im))) (*.f64 x.im x.im)))
#s(approx (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (.f64 (-.f64 (neg.f64 (.f64 #s(literal 0 binary64) (/.f64 x.re x.im))) #s(literal 3 binary64)) (*.f64 x.im x.im)))
#s(approx (+ (* (- x.re x.im) (+ x.im x.re)) (* -2 (* x.im x.im))) (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) x.re (neg.f64 (/.f64 (.f64 x.re x.re) x.im))) x.im)) #s(literal 3 binary64)) (*.f64 x.im x.im)))
#s(approx (- x.re x.im) (*.f64 (neg.f64 x.im) (-.f64 #s(literal 1 binary64) (/.f64 x.re x.im))))
#s(approx (+ x.im x.re) (*.f64 (neg.f64 x.im) (-.f64 (/.f64 (neg.f64 x.re) x.im) #s(literal 1 binary64))))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) x.re (neg.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) x.re) x.re) x.im))) (.f64 x.im x.im)))
#s(approx (+ (* (* (+ x.re x.im) (- x.re x.im)) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) x.re (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) x.re (/.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) x.im)) x.im))) (*.f64 x.im x.im)))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (.f64 (-.f64 (neg.f64 (.f64 #s(literal 0 binary64) (/.f64 x.re x.im))) #s(literal 1 binary64)) (*.f64 x.im x.im)))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) x.re (neg.f64 (/.f64 (.f64 x.re x.re) x.im))) x.im)) #s(literal 1 binary64)) (*.f64 x.im x.im)))
#s(approx (+ x.im x.re) (*.f64 (neg.f64 x.im) (-.f64 (/.f64 (neg.f64 x.re) x.im) #s(literal 1 binary64))))

eval54.0ms (1.3%)

Memory: 1.7MiB live, 147.2MiB allocated; 22ms collecting garbage
Compiler: Compiled 16 225 to 1 665 computations (89.7% saved)

prune36.0ms (0.9%)

Memory

23.8MiB live, 69.9MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	423	2	425
Fresh	1	1	2
Picked	2	3	5
Done	1	0	1
Total	427	6	433

Accuracy

100.0%

Counts

433 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
▶	53.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
✓	49.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
✓	53.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
▶	53.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
✓	60.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (- (+ ( x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re))

Compiler

Compiled 171 to 98 computations (42.7% saved)

series20.0ms (0.5%)

Memory

-24.3MiB live, 22.7MiB allocated; 2ms collecting garbage

Counts

14 → 17

Calls

Call 1

Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)
(.f64 (.f64 #s(literal -3 binary64) x.im) x.re)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -3 binary64)
x.im
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
(.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im)
(.f64 (.f64 x.im x.re) #s(literal -3 binary64))
(*.f64 x.im x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)

Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))))
#s(approx (* (* (* -3 x.im) x.re) x.im) #s(hole binary64 (* -3 (* (pow x.im 2) x.re))))
#s(approx (* (* -3 x.im) x.re) #s(hole binary64 (* -3 (* x.im x.re))))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (* (* (* x.im x.re) -3) x.im) #s(hole binary64 (* -3 (* (pow x.im 2) x.re))))
#s(approx (* (* x.im x.re) -3) #s(hole binary64 (* -3 (* x.im x.re))))
#s(approx (* x.im x.re) #s(hole binary64 (* x.im x.re)))
#s(approx (pow x.re 3) #s(hole binary64 (pow x.re 3)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (pow x.re 3)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))))
#s(approx (* -3 x.im) #s(hole binary64 (* -3 x.im)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) -3 x.im x.re (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) -3) x.im) (* (* x.im x.re) -3) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) 3)
2.0ms	x.re	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) -3 x.im x.re (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) -3) x.im) (* (* x.im x.re) -3) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) 3)
2.0ms	x.im	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) -3 x.im x.re (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) -3) x.im) (* (* x.im x.re) -3) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) 3)
2.0ms	x.re	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) -3 x.im x.re (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) -3) x.im) (* (* x.im x.re) -3) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) 3)
2.0ms	x.im	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) -3 x.im x.re (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) -3) x.im) (* (* x.im x.re) -3) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) 3)

rewrite116.0ms (2.7%)

Memory

-13.9MiB live, 99.3MiB allocated; 106ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	477
0	91	455
0	381	441

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

31 → 51

Calls

Call 1

Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)
(.f64 (.f64 #s(literal -3 binary64) x.im) x.re)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -3 binary64)
x.im
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
(.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im)
(.f64 (.f64 x.im x.re) #s(literal -3 binary64))
(*.f64 x.im x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))))
#s(approx (* (* (* -3 x.im) x.re) x.im) #s(hole binary64 (* -3 (* (pow x.im 2) x.re))))
#s(approx (* (* -3 x.im) x.re) #s(hole binary64 (* -3 (* x.im x.re))))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (* (* (* x.im x.re) -3) x.im) #s(hole binary64 (* -3 (* (pow x.im 2) x.re))))
#s(approx (* (* x.im x.re) -3) #s(hole binary64 (* -3 (* x.im x.re))))
#s(approx (* x.im x.re) #s(hole binary64 (* x.im x.re)))
#s(approx (pow x.re 3) #s(hole binary64 (pow x.re 3)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (pow x.re 3)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))))
#s(approx (* -3 x.im) #s(hole binary64 (* -3 x.im)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))))

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

eval5.0ms (0.1%)

Memory: 14.6MiB live, 14.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 380 to 142 computations (89.7% saved)

prune17.0ms (0.4%)

Memory

1.3MiB live, 51.8MiB allocated; 9ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	49	6	55

Accuracy

100.0%

Counts

55 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
✓	53.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
✓	49.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
✓	53.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
✓	53.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
✓	60.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (- (+ ( x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re))

Compiler

Compiled 602 to 189 computations (68.6% saved)

regimes37.0ms (0.9%)

Memory

-33.5MiB live, 58.6MiB allocated; 5ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

Outputs

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))

Calls

3 calls:

21.0ms	x.im
5.0ms	x.re
4.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
97.6%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
97.5%	2	`x.re`
97.5%	2	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes4.0ms (0.1%)

Memory

20.4MiB live, 20.5MiB allocated; 0ms collecting garbage

Counts

14 → 2

Calls

Call 1

Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (- (+ ( x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (.f64 #s(literal -2 binary64) (*.f64 x.im x.im))) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (-.f64 (fma.f64 x.re x.re (neg.f64 (.f64 x.im x.im))) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) x.re))
(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 #s(approx (+ x.re x.im) x.im) (-.f64 x.re x.im)) x.re (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.im))
(fma.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (neg.f64 (.f64 x.im x.im))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(fma.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Outputs

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (*.f64 #s(literal -2 binary64) (*.f64 x.im x.im))) x.re))

Calls

1 calls:

3.0ms

(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
97.5%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes7.0ms (0.2%)

Memory

25.3MiB live, 25.3MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (- (+ ( x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))

Outputs

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
81.5%	2	`x.re`
83.3%	2	`x.im`
97.5%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes5.0ms (0.1%)

Memory

-48.0MiB live, 6.5MiB allocated; 3ms collecting garbage

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (- (+ ( x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))

Outputs

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re))

Calls

1 calls:

2.0ms

(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
97.5%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes2.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re))

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))

Outputs

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re))

Calls

1 calls:

1.0ms

(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
97.5%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes1.0ms (0%)

Memory

4.9MiB live, 4.8MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re))

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))

Outputs

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))

#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re))

Calls

1 calls:

1.0ms

(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
93.9%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes3.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (- (+ ( x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re))

Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (- (+ ( x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re))

Calls

3 calls:

1.0ms	x.re
1.0ms	x.im
1.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
60.4%	1	`x.re`
60.4%	1	`x.im`
60.4%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.42671e-318	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.0839482382018335e+155	-2.471336633281881e+119

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.42671e-318	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.42671e-318	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.42671e-318	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.42671e-318	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify56.0ms (1.3%)

Memory

-0.3MiB live, 93.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	546
1	109	515
2	281	510
3	943	458
4	2942	458
5	6677	458

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -404805/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) x.im)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -200000000000000001435246308182033660816122962378320623613425544292501323360976680256533213969152378660773147626593524272520163068458938451905467307354226688 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.im) x.im)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (.f64 #s(literal -2 binary64) (*.f64 x.im x.im))) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -404805/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) x.im)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (- (+ ( x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -404805/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.im) x.im)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (- (+ ( x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -404805/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.re) x.im)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (- (+ ( x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -404805/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(literal -3 binary64)) (.f64 x.im x.im))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (- (+ ( x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (- (+ ( x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re))

Outputs
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -404805/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) x.im)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -200000000000000001435246308182033660816122962378320623613425544292501323360976680256533213969152378660773147626593524272520163068458938451905467307354226688 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.im) x.im)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (.f64 #s(literal -2 binary64) (*.f64 x.im x.im))) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -404805/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) x.im)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (- (+ ( x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -404805/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.im) x.im)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (- (+ ( x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -404805/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.re) x.im)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (- (+ ( x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -404805/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(literal -3 binary64)) (.f64 x.im x.im))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (- (+ ( x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (- (+ ( x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (*.f64 x.re x.re)) x.re))

derivations182.0ms (4.3%)

Memory

-25.5MiB live, 210.6MiB allocated; 18ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 551 to 63 computations (88.6% saved)

preprocess135.0ms (3.2%)

Memory: 29.2MiB live, 261.3MiB allocated; 61ms collecting garbage
Remove: (abs x.im)
Compiler: Compiled 1 606 to 350 computations (78.2% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample2.0s (47.6%)

explain218.0ms (5.2%)

preprocess259.0ms (6.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series18.0ms (0.4%)

rewrite65.0ms (1.5%)

eval9.0ms (0.2%)

prune6.0ms (0.2%)

series85.0ms (2%)

rewrite316.0ms (7.5%)

eval90.0ms (2.1%)

prune28.0ms (0.7%)

series24.0ms (0.6%)

rewrite413.0ms (9.8%)

eval54.0ms (1.3%)

prune36.0ms (0.9%)

series20.0ms (0.5%)

rewrite116.0ms (2.7%)

eval5.0ms (0.1%)

prune17.0ms (0.4%)

regimes37.0ms (0.9%)

regimes4.0ms (0.1%)

regimes7.0ms (0.2%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes3.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify56.0ms (1.3%)

derivations182.0ms (4.3%)

preprocess135.0ms (3.2%)

end0.0ms (0%)

Profiling