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

0.9MiB live, 0.9MiB 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)

sample943.0ms (53.1%)

Memory

3.3MiB live, 1 560.5MiB allocated; 320ms collecting garbage

Samples

651.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 356.0ms

ival-mult!: 231.0ms (64.9% of total)

ival-sub!: 105.0ms (29.5% of total)

ival-add!: 18.0ms (5.1% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain131.0ms (7.4%)

Memory

-1.3MiB live, 333.6MiB allocated; 11ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
23	-	-	`(-.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))`
16	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
15	-	-	`(.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	23	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	118
↳	`(*.f64 x.re x.re)`	overflow	65
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	114
↳	`(*.f64 x.im x.im)`	overflow	65
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	67
↳	`(*.f64 x.im x.re)`	overflow	30
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	30
↳	`(*.f64 x.re x.im)`	overflow	30
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	16	0
↳	`(*.f64 x.re x.re)`	overflow	65
↳	`(*.f64 x.im x.im)`	overflow	65
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	15	0

Confusion

	Predicted +	Predicted -
+	45	0
-	0	211

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	45	0	0
-	0	0	211

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	211
1	36
2	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult!: 14.0ms (82.6% of total)

ival-sub!: 2.0ms (11.8% of total)

ival-add!: 1.0ms (5.9% of total)

adjust: 0.0ms (0% of total)

preprocess37.0ms (2.1%)

Memory

2.1MiB live, 51.7MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	118
1	121	104
2	418	102
3	1190	67
4	4057	66

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.7%	(-.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))

Symmetry

(abs x.im)

(negabs x.re)

Compiler

Compiled 38 to 22 computations (42.1% saved)

series15.0ms (0.8%)

Memory

35.7MiB live, 35.7MiB allocated; 0ms 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
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))
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.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))

rewrite67.0ms (3.8%)

Memory

-13.6MiB live, 128.0MiB 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)))

eval15.0ms (0.8%)

Memory: -17.6MiB live, 31.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 108 to 302 computations (85.7% saved)

prune4.0ms (0.3%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	80	7	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	7	88

Accuracy

95.3%

Counts

88 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.4%	(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))
▶	65.1%	(-.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))
▶	50.4%	(-.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))
	58.3%	#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)))
▶	90.8%	#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))
▶	50.4%	#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))
▶	50.4%	#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 352 to 206 computations (41.5% saved)

series18.0ms (1%)

Memory

-1.3MiB live, 45.9MiB allocated; 1ms collecting garbage

Counts

28 → 56

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

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.im x.im) -3) x.re) #s(hole binary64 (* -3 (* (pow x.im 2) 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.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.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.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.im x.im) -3) #s(hole binary64 (* -3 (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.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))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	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.im x.im) -3) x.re) (* (* x.im x.im) -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.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)))
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) (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.im x.im) -3) x.re) (* (* x.im x.im) -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.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)))
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) (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.im x.im) -3) x.re) (* (* x.im x.im) -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.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)))
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.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.im x.im) -3) x.re) (* (* x.im x.im) -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.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)))
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.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.im x.im) -3) x.re) (* (* x.im x.im) -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.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)))

rewrite52.0ms (3%)

Memory

-5.9MiB live, 86.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	175	1461
0	208	1273
0	814	1248

Stop Event

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

Counts

84 → 197

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

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

eval35.0ms (2%)

Memory: -2.2MiB live, 90.8MiB allocated; 12ms collecting garbage
Compiler: Compiled 9 135 to 834 computations (90.9% saved)

prune24.0ms (1.3%)

Memory

23.7MiB live, 68.2MiB allocated; 9ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	272	5	277
Fresh	1	1	2
Picked	4	1	5
Done	0	0	0
Total	277	7	284

Accuracy

100.0%

Counts

284 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.4%	(fma.f64 #s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (.f64 (neg.f64 x.im) x.im)) x.re (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.im))
	58.3%	#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)))
▶	88.1%	#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.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
▶	50.4%	#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) x.re) #s(literal -3 binary64)))
▶	55.8%	#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))
✓	50.4%	#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)))
▶	58.2%	#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 367 to 212 computations (42.2% saved)

series32.0ms (1.8%)

Memory

19.0MiB live, 61.7MiB allocated; 14ms collecting garbage

Counts

27 → 64

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

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) (+ (* (* x.im x.im) -3) (* x.re x.re)) (* x.im x.im) x.im -3 (* x.re x.re) x.re (- (* (- (* 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.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) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) x.re) -3) (* (* x.im x.im) x.re) (+ (* (+ (* x.re x.re) (neg (* x.im x.im))) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (+ (* x.re x.re) (neg (* x.im x.im))) (* (neg x.im) x.im) (neg 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))
4.0ms	x.re	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) (+ (* (* x.im x.im) -3) (* x.re x.re)) (* x.im x.im) x.im -3 (* x.re x.re) x.re (- (* (- (* 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.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) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) x.re) -3) (* (* x.im x.im) x.re) (+ (* (+ (* x.re x.re) (neg (* x.im x.im))) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (+ (* x.re x.re) (neg (* x.im x.im))) (* (neg x.im) x.im) (neg 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.im x.im) -3) (* x.re x.re)) x.re) (+ (* (* x.im x.im) -3) (* x.re x.re)) (* x.im x.im) x.im -3 (* x.re x.re) x.re (- (* (- (* 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.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) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) x.re) -3) (* (* x.im x.im) x.re) (+ (* (+ (* x.re x.re) (neg (* x.im x.im))) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (+ (* x.re x.re) (neg (* x.im x.im))) (* (neg x.im) x.im) (neg 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.im x.im) -3) (* x.re x.re)) x.re) (+ (* (* x.im x.im) -3) (* x.re x.re)) (* x.im x.im) x.im -3 (* x.re x.re) x.re (- (* (- (* 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.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) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) x.re) -3) (* (* x.im x.im) x.re) (+ (* (+ (* x.re x.re) (neg (* x.im x.im))) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (+ (* x.re x.re) (neg (* x.im x.im))) (* (neg x.im) x.im) (neg 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.im x.im) -3) (* x.re x.re)) x.re) (+ (* (* x.im x.im) -3) (* x.re x.re)) (* x.im x.im) x.im -3 (* x.re x.re) x.re (- (* (- (* 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.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) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) x.re) -3) (* (* x.im x.im) x.re) (+ (* (+ (* x.re x.re) (neg (* x.im x.im))) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (+ (* x.re x.re) (neg (* x.im x.im))) (* (neg x.im) x.im) (neg 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))

rewrite79.0ms (4.4%)

Memory

-2.7MiB live, 99.1MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	1772
0	234	1494
0	999	1465

Stop Event

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

Counts

91 → 235

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

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

eval27.0ms (1.5%)

Memory: -34.7MiB live, 58.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 8 058 to 760 computations (90.6% saved)

prune18.0ms (1%)

Memory

38.8MiB live, 38.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	242	2	244
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	244	7	251

Accuracy

100.0%

Counts

251 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.3%	#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)))
✓	88.1%	#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.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
✓	55.8%	#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))
▶	55.8%	#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))
✓	50.4%	#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)))
▶	55.8%	#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.im (*.f64 x.im x.re)) #s(literal -3 binary64)))
✓	58.2%	#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 201 to 115 computations (42.8% saved)

series16.0ms (0.9%)

Memory

-21.9MiB live, 27.5MiB allocated; 6ms 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 x.im (*.f64 x.im x.re)) #s(literal -3 binary64)))
(.f64 (.f64 x.im (*.f64 x.im x.re)) #s(literal -3 binary64))
(.f64 x.im (.f64 x.im x.re))
x.im
(*.f64 x.im x.re)
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 #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(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 (* (* x.im (* x.im x.re)) -3) #s(hole binary64 (* -3 (* (pow x.im 2) x.re))))
#s(approx (* x.im (* x.im x.re)) #s(hole binary64 (* (pow x.im 2) x.re)))
#s(approx (* x.im x.re) #s(hole binary64 (* x.im x.re)))
#s(approx x.re #s(hole binary64 x.re))
#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 (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 x.im #s(hole binary64 x.im))
#s(approx (* -3 x.im) #s(hole binary64 (* -3 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
7.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im (* x.im x.re)) -3) (* x.im (* x.im x.re)) x.im (* x.im x.re) x.re -3 (- (* (- (* 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) (- (* (- (* 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)) (* (* x.im (* x.im x.re)) -3) (* x.im (* x.im x.re)) x.im (* x.im x.re) x.re -3 (- (* (- (* 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) (- (* (- (* 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)) (* (* x.im (* x.im x.re)) -3) (* x.im (* x.im x.re)) x.im (* x.im x.re) x.re -3 (- (* (- (* 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) (- (* (- (* 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)) (* (* x.im (* x.im x.re)) -3) (* x.im (* x.im x.re)) x.im (* x.im x.re) x.re -3 (- (* (- (* 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) (- (* (- (* 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)) (* (* x.im (* x.im x.re)) -3) (* x.im (* x.im x.re)) x.im (* x.im x.re) x.re -3 (- (* (- (* 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) (- (* (- (* 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)

rewrite44.0ms (2.5%)

Memory

24.0MiB live, 71.5MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	477
0	92	455
0	384	441

Stop Event

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

Counts

31 → 53

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

eval8.0ms (0.4%)

Memory: -31.0MiB live, 16.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 548 to 157 computations (89.9% saved)

prune18.0ms (1%)

Memory

-10.4MiB live, 36.7MiB allocated; 1ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	55	7	62

Accuracy

100.0%

Counts

62 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.3%	#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)))
✓	88.1%	#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.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
✓	55.8%	#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))
✓	55.8%	#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))
✓	50.4%	#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)))
✓	55.8%	#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.im (*.f64 x.im x.re)) #s(literal -3 binary64)))
✓	58.2%	#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 597 to 194 computations (67.5% saved)

regimes13.0ms (0.7%)

Memory

28.9MiB live, 28.9MiB allocated; 0ms collecting garbage

Counts

15 → 3

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

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.im (*.f64 x.im 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 (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) (* (+ (* 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:

4.0ms	x.re
4.0ms	x.im
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
97.0%	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))`
98.7%	3	`x.re`
96.3%	2	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes6.0ms (0.3%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Counts

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

2 calls:

3.0ms	x.re
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
96.9%	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))`
96.7%	3	`x.re`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes6.0ms (0.3%)

Memory

-41.5MiB live, 7.4MiB allocated; 4ms 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.im (*.f64 x.im 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 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.im (*.f64 x.im 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 #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:

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
96.9%	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 (0.2%)

Memory

9.0MiB live, 9.0MiB 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.im
1.0ms	x.re
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
58.2%	1	`x.re`
58.2%	1	`x.im`
58.2%	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)

bsearch19.0ms (1.1%)

Memory

-10.5MiB live, 36.1MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	9.749279006266903e+229	3.086383524707648e+230
13.0ms	2.6363670402143685e-113	6.825187598917525e-108

Samples

9.0ms

176×

valid

Compiler

Compiled 730 to 431 computations (41% saved)

Precisions

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

ival-mult!: 4.0ms (77% of total)

ival-sub!: 1.0ms (19.3% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.779712935495658e-298	-0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.779712935495658e-298	-0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

derivations15.0ms (0.8%)

Memory

26.6MiB live, 26.6MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 328 to 53 computations (83.8% saved)

preprocess128.0ms (7.2%)

Memory

14.2MiB live, 203.8MiB allocated; 45ms collecting garbage

Remove

(negabs x.re)

(abs x.im)

Compiler

Compiled 2 616 to 890 computations (66% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample943.0ms (53.1%)

explain131.0ms (7.4%)

preprocess37.0ms (2.1%)

series15.0ms (0.8%)

rewrite67.0ms (3.8%)

eval15.0ms (0.8%)

prune4.0ms (0.3%)

series18.0ms (1%)

rewrite52.0ms (3%)

eval35.0ms (2%)

prune24.0ms (1.3%)

series32.0ms (1.8%)

rewrite79.0ms (4.4%)

eval27.0ms (1.5%)

prune18.0ms (1%)

series16.0ms (0.9%)

rewrite44.0ms (2.5%)

eval8.0ms (0.4%)

prune18.0ms (1%)

regimes13.0ms (0.7%)

regimes6.0ms (0.3%)

regimes6.0ms (0.3%)

regimes3.0ms (0.2%)

bsearch19.0ms (1.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations15.0ms (0.8%)

preprocess128.0ms (7.2%)

end0.0ms (0%)

Profiling