Metrics for math.cube on complex, real part

analyze0.0ms (0%)

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 22 to 12 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample970.0ms (10.6%)

Results

727.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 512.0ms

ival-mult: 367.0ms (71.7% of total)

ival-sub: 75.0ms (14.7% of total)

ival-add: 60.0ms (11.7% of total)

const: 7.0ms (1.4% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess211.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

2018×	`sum4-define`
1664×	`fma-lowering-fma.f32`
1664×	`fma-lowering-fma.f64`
1444×	`fnmadd-define`
1440×	`unsub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	102
1	152	92
2	428	90
3	1735	66
4	7883	66
0	11	16
1	33	15
2	81	15
3	263	11
4	910	10
5	5377	10
0	8193	10

Stop Event

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

Calls

Call 1

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

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

Call 2

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

Outputs
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
(+ (pow x.re 3) (* (* x.re (* x.im x.im)) -3))
(- (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) (neg x.re)) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) x.im))
(- (* (* x.re (* x.im x.im)) 3) (pow x.re 3))
(- (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) x.re) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) (neg x.im)))
(+ (pow x.re 3) (* (* x.re (* x.im x.im)) -3))
(neg (- (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) (neg x.re)) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) x.im)))
(+ (pow x.re 3) (* (* x.re (* x.im x.im)) -3))
(neg (- (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) x.re) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) (neg x.im))))
(- (* (* x.re (* x.im x.im)) 3) (pow x.re 3))
(- (* (- (* x.im x.im) (* x.re x.re)) x.im) (* (+ (* x.im x.re) (* x.re x.im)) x.re))
(+ (pow x.im 3) (* (* x.re (* x.re x.im)) -3))

Symmetry

(abs x.im)

(negabs x.re)

explain126.0ms (1.4%)

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))`
18	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
14	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
0	-	-	`x.im`
0	-	-	`x.re`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.im)`

Results

73.0ms

512×

valid

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 34.0ms (81.2% of total)

ival-sub: 5.0ms (11.9% of total)

ival-add: 2.0ms (4.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.5%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	87.7%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))

Status

Accuracy

Program

▶

81.5%

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

▶

87.7%

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

Compiler

Compiled 34 to 19 computations (44.1% saved)

simplify190.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	cost-diff	512	(-.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))
✓	cost-diff	0	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(+.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
✓	cost-diff	0	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))

Rules

2018×	`sum4-define`
1684×	`fma-lowering-fma.f32`
1684×	`fma-lowering-fma.f64`
1456×	`fnmadd-define`
1396×	`sum5-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	84
1	49	82
2	122	82
3	321	82
4	967	82
5	5408	82
0	8271	82

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x.re (+ (* x.re x.re) (* (* x.im x.im) -3)))
x.re
(+ (* x.re x.re) (* (* x.im x.im) -3))
(* x.re x.re)
(* (* x.im x.im) -3)
(* x.im 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.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)

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

localize62.0ms (0.7%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	94.8%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	accuracy	93.5%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	92.8%	(-.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))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
✓	accuracy	94.7%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))
✓	accuracy	93.5%	(+.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))

Results

43.0ms

256×

valid

Compiler

Compiled 102 to 16 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 15.0ms (72.4% of total)

ival-sub: 2.0ms (9.7% of total)

ival-add: 2.0ms (9.7% of total)

const: 1.0ms (4.8% of total)

backward-pass: 0.0ms (0% of total)

series17.0ms (0.2%)

Counts

10 → 204

Calls

Call 1

Inputs
#<alt (* x.re (+ (* x.re x.re) (* (* x.im x.im) -3)))>
#<alt (+ (* x.re x.re) (* (* x.im x.im) -3))>
#<alt (* x.re x.re)>
#<alt (* (* x.im x.im) -3)>
#<alt (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))>
#<alt (* (+ (* x.re x.im) (* x.im x.re)) x.im)>
#<alt (+ (* x.re x.im) (* x.im x.re))>
#<alt (* (- (* x.re x.re) (* x.im x.im)) x.re)>
#<alt (* x.im x.im)>
#<alt (- (* x.re x.re) (* x.im x.im))>

Outputs
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* -3 (pow x.im 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* -3 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (pow x.re 3)>
#<alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))>
#<alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))>
#<alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))>
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (* -1 (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>

Calls

51 calls:

Time	Variable		Point	Expression
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))
2.0ms	x.re	@	0	(+ (* x.re x.im) (* x.im x.re))
1.0ms	x.re	@	0	(* x.re (+ (* x.re x.re) (* (* x.im x.im) -3)))
1.0ms	x.re	@	-inf	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms	x.re	@	inf	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

rewrite88.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

498×	`-lowering-.f32`
498×	`-lowering-.f64`
258×	`+-lowering-+.f64`
258×	`+-lowering-+.f32`
220×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	73
1	112	64
0	925	64

Stop Event

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

Counts

10 → 136

Calls

Call 1

Inputs
(* x.re (+ (* x.re x.re) (* (* x.im x.im) -3)))
(+ (* x.re x.re) (* (* x.im x.im) -3))
(* x.re 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.im) (* x.im x.re)) x.im)
(+ (* x.re x.im) (* x.im x.re))
(* (- (* x.re x.re) (* x.im x.im)) x.re)
(* x.im x.im)
(- (* x.re x.re) (* x.im x.im))

Outputs
(+.f64 (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (.f64 x.re (*.f64 x.re x.re)))
(+.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(fma.f64 x.re (.f64 x.re x.re) (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))
(fma.f64 (.f64 x.re x.re) x.re (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 x.re x.re)) #s(literal 3 binary64)) (pow.f64 (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))) (-.f64 (.f64 (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))) (-.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))
(/.f64 (.f64 x.re (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) #s(literal -27 binary64)))) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))))
(/.f64 (.f64 x.re (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64)))) (+.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) #s(literal -27 binary64))) x.re) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))))
(/.f64 (.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) x.re) (+.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))
(.f64 (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) x.re)
(+.f64 (.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 x.re x.re))
(-.f64 (/.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (+.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) (.f64 x.im x.im)))) (/.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64)) (+.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) (*.f64 x.im x.im)))))
(fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
(fma.f64 x.im (.f64 x.im #s(literal -3 binary64)) (.f64 x.re x.re))
(fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))
(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re))
(/.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) #s(literal -27 binary64))) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.re x.re)))))
(/.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) #s(literal -27 binary64))) (+.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64)) (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.re (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))))))
(/.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) (+.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) (.f64 x.im x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.re x.re)))) (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) #s(literal -27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) (.f64 x.im x.im))) (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) #s(literal -27 binary64)))) (neg.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.re x.re))))))
(/.f64 (neg.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64)))) (neg.f64 (+.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) (.f64 x.im x.im)))))
(/.f64 (-.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64)) (.f64 x.re (.f64 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 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))))
(.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) (*.f64 x.im x.im)))))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64)))
(pow.f64 x.re #s(literal 2 binary64))
(*.f64 x.re x.re)
(*.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)))
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
(.f64 (.f64 x.im #s(literal -3 binary64)) x.im)
(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (+.f64 (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(+.f64 (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)))
(+.f64 (+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))))
(+.f64 (+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))))
(+.f64 (+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 (+.f64 (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(+.f64 (+.f64 (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))))
(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (-.f64 (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 x.re (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))))) (+.f64 (.f64 x.re (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)))) (.f64 (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))) (/.f64 (.f64 (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 x.im (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))))) (+.f64 (.f64 x.re (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)))) (.f64 (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))))
(-.f64 (/.f64 (.f64 x.re (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)))) (+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (.f64 x.im (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))) (+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
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(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im)) #s(literal 3 binary64))) (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (-.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im))) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (*.f64 x.im x.im))))))
(/.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)))) (-.f64 (.f64 x.re x.re) (-.f64 #s(literal 0 binary64) (.f64 x.im x.im))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im)))) (-.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.im x.im))))
(.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))
(.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))

simplify274.0ms (3%)

Algorithm

1×	egg-herbie

Rules

4034×	`-lowering-.f32`
4034×	`-lowering-.f64`
1846×	`+-lowering-+.f64`
1846×	`+-lowering-+.f32`
1192×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	1410
1	241	1380
2	761	1368
3	3359	1368
0	8760	1368

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(pow x.re 3)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(* -3 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* -3 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(pow x.re 3)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(pow x.re 3)
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))

Outputs
(* -3 (* (pow x.im 2) x.re))
(.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* -3 (* (pow x.im 2) x.re))
(.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* -3 (* (pow x.im 2) x.re))
(.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* -3 (pow x.im 2))
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(* -3 (pow x.im 2))
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(* -3 (pow x.im 2))
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
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(.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
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(.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
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(*.f64 x.re x.re)
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(* -3 (pow x.im 2))
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(.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re)))
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(* 2 (* (pow x.im 2) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.im x.re)))
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(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.im x.re)))
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(* -1 (* (pow x.im 2) x.re))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.re)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
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(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
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(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
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(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.re)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
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(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
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(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.re)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
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(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
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(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
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(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
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(.f64 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
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(.f64 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))

eval33.0ms (0.4%)

Compiler: Compiled 7897 to 505 computations (93.6% saved)

prune50.0ms (0.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	364	8	372
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	366	8	374

Accuracy

99.9%

Counts

374 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.4%	(/.f64 (.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) x.re) (+.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))
▶	81.5%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
▶	90.9%	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	34.2%	(.f64 x.re (/.f64 (-.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64)) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))
	87.7%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im #s(literal -3 binary64)) x.im)))
▶	54.9%	(.f64 x.re (.f64 x.re x.re))
▶	52.4%	(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
	57.6%	(.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re)))

Compiler

Compiled 280 to 154 computations (45% saved)

simplify224.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
✓	cost-diff	0	(-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64)))
✓	cost-diff	0	(.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) x.re)
✓	cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) x.re) (+.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	cost-diff	384	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
✓	cost-diff	0	(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(.f64 x.re (.f64 x.re x.re))
✓	cost-diff	0	(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))
✓	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	cost-diff	512	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

Rules

2978×	`+-lowering-+.f64`
2978×	`+-lowering-+.f32`
2234×	`-lowering-.f32`
2234×	`-lowering-.f64`
1452×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	226
1	109	209
2	271	206
3	789	198
4	2613	198
5	7276	198
0	8060	198

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
(* (+ x.re x.im) (* (- x.re x.im) x.re))
(+ x.re x.im)
x.re
x.im
(* (- x.re x.im) x.re)
(- x.re 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)
(* x.re (* x.re x.re))
x.re
(* x.re x.re)
(* x.re (* -3 (* x.im x.im)))
x.re
(* -3 (* x.im x.im))
-3
(* x.im x.im)
x.im
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im 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.re
(* x.im x.im)
x.im
(* (* x.re (+ x.im x.im)) x.im)
(* x.re (+ x.im x.im))
(+ x.im x.im)
(/ (* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re) (+ (* x.re x.re) (* 3 (* x.im x.im))))
(* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re)
(- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9))
(* x.re (* x.re (* x.re x.re)))
x.re
(* x.re (* x.re x.re))
(* x.re x.re)
(* (* x.im (* x.im (* x.im x.im))) 9)
(* x.im (* x.im (* x.im x.im)))
x.im
(* x.im (* x.im x.im))
(* x.im x.im)
9
(+ (* x.re x.re) (* 3 (* x.im x.im)))
(* 3 (* x.im x.im))
3

Outputs
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))))
(* (+ x.re x.im) (* (- x.re x.im) x.re))
(.f64 (+.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.im)))
(+ x.re x.im)
(+.f64 x.re x.im)
x.re
x.im
(* (- x.re x.im) x.re)
(*.f64 x.re (-.f64 x.re x.im))
(- x.re x.im)
(-.f64 x.re x.im)
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
(.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))
(+ (* x.re x.im) (* x.im x.re))
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(* x.re x.im)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.re (* x.re x.re))
(.f64 x.re (.f64 x.re x.re))
x.re
(* x.re x.re)
(*.f64 x.re x.re)
(* x.re (* -3 (* x.im x.im)))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
x.re
(* -3 (* x.im x.im))
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
-3
#s(literal -3 binary64)
(* x.im x.im)
(*.f64 x.im x.im)
x.im
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im))
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))))
(* (- (* x.re x.re) (* x.im x.im)) x.re)
(.f64 (+.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.im)))
(- (* x.re x.re) (* x.im x.im))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(* x.re x.re)
(*.f64 x.re x.re)
x.re
(* x.im x.im)
(*.f64 x.im x.im)
x.im
(* (* x.re (+ x.im x.im)) x.im)
(.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))
(* x.re (+ x.im x.im))
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(+ x.im x.im)
(*.f64 x.im #s(literal 2 binary64))
(/ (* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re) (+ (* x.re x.re) (* 3 (* x.im x.im))))
(/.f64 (.f64 x.re (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.im (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal -9 binary64))))) (+.f64 (.f64 x.re x.re) (.f64 x.im (*.f64 x.im #s(literal 3 binary64)))))
(* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re)
(.f64 x.re (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.im (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal -9 binary64)))))
(- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9))
(+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.im (.f64 (.f64 x.im (*.f64 x.im x.im)) #s(literal -9 binary64))))
(* x.re (* x.re (* x.re x.re)))
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
x.re
(* x.re (* x.re x.re))
(.f64 x.re (.f64 x.re x.re))
(* x.re x.re)
(*.f64 x.re x.re)
(* (* x.im (* x.im (* x.im x.im))) 9)
(.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64)))
(* x.im (* x.im (* x.im x.im)))
(.f64 x.im (.f64 x.im (*.f64 x.im x.im)))
x.im
(* x.im (* x.im x.im))
(.f64 x.im (.f64 x.im x.im))
(* x.im x.im)
(*.f64 x.im x.im)
9
#s(literal 9 binary64)
(+ (* x.re x.re) (* 3 (* x.im x.im)))
(+.f64 (.f64 x.re x.re) (.f64 x.im (*.f64 x.im #s(literal 3 binary64))))
(* 3 (* x.im x.im))
(.f64 x.im (.f64 x.im #s(literal 3 binary64)))
3
#s(literal 3 binary64)

localize152.0ms (1.7%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 x.im x.im))
✓	accuracy	95.2%	(.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) x.re)
✓	accuracy	86.3%	(-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64)))
✓	accuracy	39.5%	(/.f64 (.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) x.re) (+.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))
✓	accuracy	99.8%	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
✓	accuracy	94.8%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	accuracy	93.5%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	92.8%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
✓	accuracy	89.1%	(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
✓	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	99.9%	(.f64 x.re (.f64 x.re x.re))
✓	accuracy	100.0%	(*.f64 (-.f64 x.re x.im) x.re)
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	99.8%	(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))
✓	accuracy	92.8%	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

Results

108.0ms

256×

valid

Compiler

Compiled 271 to 35 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 40.0ms (74.4% of total)

ival-sub: 6.0ms (11.2% of total)

ival-add: 5.0ms (9.3% of total)

ival-div: 2.0ms (3.7% of total)

const: 1.0ms (1.9% of total)

backward-pass: 0.0ms (0% of total)

series44.0ms (0.5%)

Counts

19 → 384

Calls

Call 1

Inputs
#<alt (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))>
#<alt (* (+ (* x.re x.im) (* x.im x.re)) x.im)>
#<alt (+ (* x.re x.im) (* x.im x.re))>
#<alt (* (+ x.re x.im) (* (- x.re x.im) x.re))>
#<alt (* x.re (* x.re x.re))>
#<alt (* x.re x.re)>
#<alt (* x.re (* -3 (* x.im x.im)))>
#<alt (* -3 (* x.im x.im))>
#<alt (* x.im x.im)>
#<alt (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im))>
#<alt (* (- (* x.re x.re) (* x.im x.im)) x.re)>
#<alt (- (* x.re x.re) (* x.im x.im))>
#<alt (/ (* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re) (+ (* x.re x.re) (* 3 (* x.im x.im))))>
#<alt (* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re)>
#<alt (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9))>
#<alt (* x.re (* x.re (* x.re x.re)))>
#<alt (* (- x.re x.im) x.re)>
#<alt (* (* x.re (+ x.im x.im)) x.im)>
#<alt (* 3 (* x.im x.im))>

Outputs
#<alt (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))>
#<alt (* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))>
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))>
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (pow x.re 3)>
#<alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))>
#<alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))>
#<alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))>
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* -1 (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* -9 (* (pow x.im 4) x.re))>
#<alt (* x.re (+ (* -9 (pow x.im 4)) (pow x.re 4)))>
#<alt (* x.re (+ (* -9 (pow x.im 4)) (pow x.re 4)))>
#<alt (* x.re (+ (* -9 (pow x.im 4)) (pow x.re 4)))>
#<alt (pow x.re 5)>
#<alt (* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (pow x.re 5)>
#<alt (* -1 (* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1)))>
#<alt (* -1 (* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1)))>
#<alt (* -1 (* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1)))>
#<alt (pow x.re 5)>
#<alt (+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5))>
#<alt (+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5))>
#<alt (+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5))>
#<alt (* -9 (* (pow x.im 4) x.re))>
#<alt (* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))>
#<alt (* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))>
#<alt (* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))>
#<alt (* -9 (* (pow x.im 4) x.re))>
#<alt (* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))>
#<alt (* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))>
#<alt (* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))>
#<alt (* -9 (pow x.im 4))>
#<alt (- (pow x.re 4) (* 9 (pow x.im 4)))>
#<alt (- (pow x.re 4) (* 9 (pow x.im 4)))>
#<alt (- (pow x.re 4) (* 9 (pow x.im 4)))>
#<alt (pow x.re 4)>
#<alt (* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (pow x.re 4)>
#<alt (* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (pow x.re 4)>
#<alt (+ (* -9 (pow x.im 4)) (pow x.re 4))>
#<alt (+ (* -9 (pow x.im 4)) (pow x.re 4))>
#<alt (+ (* -9 (pow x.im 4)) (pow x.re 4))>
#<alt (* -9 (pow x.im 4))>
#<alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))>
#<alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))>
#<alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))>
#<alt (* -9 (pow x.im 4))>
#<alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))>
#<alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))>
#<alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (* -1 (* x.im x.re))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (pow x.re 2)>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (* -1 (* x.im x.re))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* -1 (* x.im x.re))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 3 (pow x.im 2))>
#<alt (* 3 (pow x.im 2))>
#<alt (* 3 (pow x.im 2))>
#<alt (* 3 (pow x.im 2))>
#<alt (* 3 (pow x.im 2))>
#<alt (* 3 (pow x.im 2))>
#<alt (* 3 (pow x.im 2))>
#<alt (* 3 (pow x.im 2))>
#<alt (* 3 (pow x.im 2))>
#<alt (* 3 (pow x.im 2))>
#<alt (* 3 (pow x.im 2))>
#<alt (* 3 (pow x.im 2))>

Calls

96 calls:

Time	Variable		Point	Expression
24.0ms	x.im	@	0	(* -3 (* x.im x.im))
3.0ms	x.im	@	0	(/ (* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re) (+ (* x.re x.re) (* 3 (* x.im x.im))))
1.0ms	x.re	@	0	(/ (* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re) (+ (* x.re x.re) (* 3 (* x.im x.im))))
1.0ms	x.re	@	inf	(/ (* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re) (+ (* x.re x.re) (* 3 (* x.im x.im))))
1.0ms	x.im	@	inf	(/ (* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re) (+ (* x.re x.re) (* 3 (* x.im x.im))))

rewrite623.0ms (6.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3586×	`-lowering-.f32`
3586×	`-lowering-.f64`
2402×	`/-lowering-/.f32`
2402×	`/-lowering-/.f64`
2312×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	158
1	245	117
2	1803	115
0	8948	115

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 2192

Calls

Call 1

Inputs
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) 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.re x.im) x.re))
(* x.re (* x.re x.re))
(* x.re x.re)
(* x.re (* -3 (* x.im x.im)))
(* -3 (* x.im x.im))
(* x.im x.im)
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im 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.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re) (+ (* x.re x.re) (* 3 (* x.im x.im))))
(* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re)
(- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9))
(* x.re (* x.re (* x.re x.re)))
(* (- x.re x.im) x.re)
(* (* x.re (+ x.im x.im)) x.im)
(* 3 (* x.im x.im))

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

simplify247.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2720×	`-lowering-.f32`
2720×	`-lowering-.f64`
2696×	`+-lowering-+.f64`
2696×	`+-lowering-+.f32`
1050×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	3875
1	694	3233
2	2455	2873
0	8259	2873

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(pow x.re 3)
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(pow x.re 3)
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(pow x.re 3)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(pow x.re 3)
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(pow x.re 3)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -9 (* (pow x.im 4) x.re))
(* x.re (+ (* -9 (pow x.im 4)) (pow x.re 4)))
(* x.re (+ (* -9 (pow x.im 4)) (pow x.re 4)))
(* x.re (+ (* -9 (pow x.im 4)) (pow x.re 4)))
(pow x.re 5)
(* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(pow x.re 5)
(* -1 (* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1)))
(* -1 (* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1)))
(* -1 (* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1)))
(pow x.re 5)
(+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5))
(+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5))
(+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5))
(* -9 (* (pow x.im 4) x.re))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(* -9 (* (pow x.im 4) x.re))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(* -9 (pow x.im 4))
(- (pow x.re 4) (* 9 (pow x.im 4)))
(- (pow x.re 4) (* 9 (pow x.im 4)))
(- (pow x.re 4) (* 9 (pow x.im 4)))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(pow x.re 4)
(+ (* -9 (pow x.im 4)) (pow x.re 4))
(+ (* -9 (pow x.im 4)) (pow x.re 4))
(+ (* -9 (pow x.im 4)) (pow x.re 4))
(* -9 (pow x.im 4))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(* -9 (pow x.im 4))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(pow x.re 4)
(pow x.re 4)
(pow x.re 4)
(pow x.re 4)
(pow x.re 4)
(pow x.re 4)
(pow x.re 4)
(pow x.re 4)
(pow x.re 4)
(pow x.re 4)
(pow x.re 4)
(pow x.re 4)
(* -1 (* x.im x.re))
(* x.re (+ x.re (* -1 x.im)))
(* x.re (+ x.re (* -1 x.im)))
(* x.re (+ x.re (* -1 x.im)))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(pow x.re 2)
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(* -1 (* x.im x.re))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* -1 (* x.im x.re))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 3 (pow x.im 2))
(* 3 (pow x.im 2))
(* 3 (pow x.im 2))
(* 3 (pow x.im 2))
(* 3 (pow x.im 2))
(* 3 (pow x.im 2))
(* 3 (pow x.im 2))
(* 3 (pow x.im 2))
(* 3 (pow x.im 2))
(* 3 (pow x.im 2))
(* 3 (pow x.im 2))
(* 3 (pow x.im 2))

Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(.f64 (.f64 x.im (*.f64 x.re x.im)) #s(literal -3 binary64))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(.f64 (.f64 x.im (*.f64 x.re x.im)) #s(literal -3 binary64))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(.f64 x.re (.f64 x.re x.re))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)) x.re)))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)) x.re)))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(.f64 x.re (.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)) x.re)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)) x.re)))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(.f64 x.re (.f64 x.re x.re))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(.f64 (.f64 x.im (*.f64 x.re x.im)) #s(literal -3 binary64))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(.f64 (.f64 x.im (*.f64 x.re x.im)) #s(literal -3 binary64))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(.f64 (.f64 x.im (*.f64 x.re x.im)) #s(literal -3 binary64))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(.f64 (.f64 x.im (*.f64 x.re x.im)) #s(literal -3 binary64))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* -1 (* (pow x.im 2) x.re))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.re x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.re x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(.f64 x.re (.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(.f64 x.re (.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(.f64 (.f64 x.re (.f64 x.re x.re)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(.f64 (.f64 x.re (.f64 x.re x.re)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(.f64 x.re (.f64 x.re x.re))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(* -1 (* (pow x.im 2) x.re))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.re x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.re x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(* -1 (* (pow x.im 2) x.re))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.re x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.re x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
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(.f64 x.re (.f64 x.re x.re))
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(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))))
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(.f64 (.f64 x.im (*.f64 x.re x.im)) #s(literal -3 binary64))
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(pow x.re 5)
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(* -9 (* (pow x.im 4) x.re))
(.f64 #s(literal -9 binary64) (.f64 x.re (pow.f64 x.im #s(literal 4 binary64))))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
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(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 (.f64 x.re #s(literal -9 binary64)) (/.f64 (pow.f64 x.re #s(literal 5 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 (.f64 x.re #s(literal -9 binary64)) (/.f64 (pow.f64 x.re #s(literal 5 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
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(*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64)))
(- (pow x.re 4) (* 9 (pow x.im 4)))
(+.f64 (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
(- (pow x.re 4) (* 9 (pow x.im 4)))
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(- (pow x.re 4) (* 9 (pow x.im 4)))
(+.f64 (*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
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(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
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(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
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(* -9 (pow x.im 4))
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(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
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(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -9 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -9 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(* -9 (pow x.im 4))
(*.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -9 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -9 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -9 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(* -1 (* x.im x.re))
(*.f64 x.re (-.f64 #s(literal 0 binary64) x.im))
(* x.re (+ x.re (* -1 x.im)))
(*.f64 x.re (-.f64 x.re x.im))
(* x.re (+ x.re (* -1 x.im)))
(*.f64 x.re (-.f64 x.re x.im))
(* x.re (+ x.re (* -1 x.im)))
(*.f64 x.re (-.f64 x.re x.im))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(.f64 x.re (.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(.f64 x.re (.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(.f64 x.re (.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(.f64 x.re (.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
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(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(.f64 x.re (.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(pow x.re 2)
(*.f64 x.re x.re)
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(*.f64 x.re (-.f64 x.re x.im))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(*.f64 x.re (-.f64 x.re x.im))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(*.f64 x.re (-.f64 x.re x.im))
(* -1 (* x.im x.re))
(*.f64 x.re (-.f64 #s(literal 0 binary64) x.im))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* -1 (* x.im x.re))
(*.f64 x.re (-.f64 #s(literal 0 binary64) x.im))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
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(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
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(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
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(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
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(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
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(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
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(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
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(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
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(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
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(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
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(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 3 (pow x.im 2))
(.f64 (.f64 x.im x.im) #s(literal 3 binary64))
(* 3 (pow x.im 2))
(.f64 (.f64 x.im x.im) #s(literal 3 binary64))
(* 3 (pow x.im 2))
(.f64 (.f64 x.im x.im) #s(literal 3 binary64))
(* 3 (pow x.im 2))
(.f64 (.f64 x.im x.im) #s(literal 3 binary64))
(* 3 (pow x.im 2))
(.f64 (.f64 x.im x.im) #s(literal 3 binary64))
(* 3 (pow x.im 2))
(.f64 (.f64 x.im x.im) #s(literal 3 binary64))
(* 3 (pow x.im 2))
(.f64 (.f64 x.im x.im) #s(literal 3 binary64))
(* 3 (pow x.im 2))
(.f64 (.f64 x.im x.im) #s(literal 3 binary64))
(* 3 (pow x.im 2))
(.f64 (.f64 x.im x.im) #s(literal 3 binary64))
(* 3 (pow x.im 2))
(.f64 (.f64 x.im x.im) #s(literal 3 binary64))
(* 3 (pow x.im 2))
(.f64 (.f64 x.im x.im) #s(literal 3 binary64))
(* 3 (pow x.im 2))
(.f64 (.f64 x.im x.im) #s(literal 3 binary64))

eval331.0ms (3.6%)

Compiler: Compiled 119976 to 4705 computations (96.1% saved)

prune357.0ms (3.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	2705	6	2711
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	2710	9	2719

Accuracy

100.0%

Counts

2719 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.9%	(pow.f64 x.re #s(literal 3 binary64))
▶	87.9%	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	57.6%	(.f64 (.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im)
▶	52.5%	(.f64 (.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
▶	57.6%	(.f64 (.f64 x.im (*.f64 x.re x.im)) #s(literal -3 binary64))
	63.3%	(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
▶	87.7%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im #s(literal -3 binary64)) x.im)))
✓	54.9%	(.f64 x.re (.f64 x.re x.re))
✓	52.4%	(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))

Compiler

Compiled 190 to 116 computations (38.9% saved)

simplify216.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x.im #s(literal -3 binary64)) x.im)
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(+.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im #s(literal -3 binary64)) x.im))
✓	cost-diff	0	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im #s(literal -3 binary64)) x.im)))
✓	cost-diff	0	(*.f64 x.im #s(literal -3 binary64))
✓	cost-diff	0	(.f64 x.re (.f64 x.im #s(literal -3 binary64)))
✓	cost-diff	0	(.f64 (.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im)
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(*.f64 x.re #s(literal -3 binary64))
✓	cost-diff	0	(.f64 (.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
✓	cost-diff	0	(*.f64 x.re x.im)
✓	cost-diff	0	(.f64 x.im (.f64 x.re x.im))
✓	cost-diff	0	(.f64 (.f64 x.im (*.f64 x.re x.im)) #s(literal -3 binary64))
✓	cost-diff	0	(.f64 (+.f64 x.re x.im) (.f64 x.im (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
✓	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	cost-diff	384	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Rules

3148×	`+-lowering-+.f64`
3148×	`+-lowering-+.f32`
2300×	`-lowering-.f32`
2300×	`-lowering-.f64`
2188×	`sum4-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	168
1	78	165
2	199	164
3	649	159
4	2702	158
0	8361	158

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (* (+ x.re x.im) (* x.im (* x.re (+ -1 (/ x.re x.im))))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
(* (+ x.re x.im) (* x.im (* x.re (+ -1 (/ x.re x.im)))))
(+ x.re x.im)
x.re
x.im
(* x.im (* x.re (+ -1 (/ x.re x.im))))
(* x.re (+ -1 (/ x.re x.im)))
(+ -1 (/ x.re x.im))
-1
(/ x.re 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)
(* (* x.im (* x.re x.im)) -3)
(* x.im (* x.re x.im))
x.im
(* x.re x.im)
x.re
-3
(* (* x.re -3) (* x.im x.im))
(* x.re -3)
x.re
-3
(* x.im x.im)
x.im
(* (* x.re (* x.im -3)) x.im)
(* x.re (* x.im -3))
x.re
(* x.im -3)
x.im
-3
(* x.re (+ (* x.re x.re) (* (* x.im -3) x.im)))
x.re
(+ (* x.re x.re) (* (* x.im -3) x.im))
(* x.re x.re)
(* (* x.im -3) x.im)
(* x.im -3)
x.im
-3

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

localize135.0ms (1.5%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x.im #s(literal -3 binary64)) x.im)
✓	accuracy	94.7%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im #s(literal -3 binary64)) x.im)))
✓	accuracy	93.5%	(+.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im #s(literal -3 binary64)) x.im))
✓	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im)
✓	accuracy	99.8%	(.f64 x.re (.f64 x.im #s(literal -3 binary64)))
✓	accuracy	100.0%	(*.f64 x.re #s(literal -3 binary64))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	89.1%	(.f64 (.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
✓	accuracy	100.0%	(*.f64 x.re x.im)
✓	accuracy	99.8%	(.f64 x.im (.f64 x.re x.im))
✓	accuracy	99.8%	(.f64 (.f64 x.im (*.f64 x.re x.im)) #s(literal -3 binary64))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	99.8%	(.f64 (+.f64 x.re x.im) (.f64 x.im (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
✓	accuracy	94.0%	(.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
✓	accuracy	92.8%	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

95.0ms

256×

valid

Compiler

Compiled 177 to 28 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 29.0ms (74.1% of total)

ival-add: 6.0ms (15.3% of total)

ival-div: 2.0ms (5.1% of total)

ival-sub: 1.0ms (2.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series24.0ms (0.3%)

Counts

18 → 372

Calls

Call 1

Inputs
#<alt (- (* (+ x.re x.im) (* x.im (* x.re (+ -1 (/ x.re x.im))))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))>
#<alt (* (+ (* x.re x.im) (* x.im x.re)) x.im)>
#<alt (+ (* x.re x.im) (* x.im x.re))>
#<alt (* (+ x.re x.im) (* x.im (* x.re (+ -1 (/ x.re x.im)))))>
#<alt (* (* x.im (* x.re x.im)) -3)>
#<alt (* x.im (* x.re x.im))>
#<alt (* x.re x.im)>
#<alt (* (* x.re -3) (* x.im x.im))>
#<alt (* x.re -3)>
#<alt (* x.im x.im)>
#<alt (* (* x.re (* x.im -3)) x.im)>
#<alt (* x.re (* x.im -3))>
#<alt (* x.im -3)>
#<alt (* x.re (+ (* x.re x.re) (* (* x.im -3) x.im)))>
#<alt (+ (* x.re x.re) (* (* x.im -3) x.im))>
#<alt (* x.re x.re)>
#<alt (* (* x.im -3) x.im)>
#<alt (* x.im (* x.re (+ -1 (/ x.re x.im))))>

Outputs
#<alt (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (pow x.re 3)>
#<alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))) (* 2 x.re)))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 x.re)>
#<alt (* -3 x.re)>
#<alt (* -3 x.re)>
#<alt (* -3 x.re)>
#<alt (* -3 x.re)>
#<alt (* -3 x.re)>
#<alt (* -3 x.re)>
#<alt (* -3 x.re)>
#<alt (* -3 x.re)>
#<alt (* -3 x.re)>
#<alt (* -3 x.re)>
#<alt (* -3 x.re)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 x.im)>
#<alt (* -3 x.im)>
#<alt (* -3 x.im)>
#<alt (* -3 x.im)>
#<alt (* -3 x.im)>
#<alt (* -3 x.im)>
#<alt (* -3 x.im)>
#<alt (* -3 x.im)>
#<alt (* -3 x.im)>
#<alt (* -3 x.im)>
#<alt (* -3 x.im)>
#<alt (* -3 x.im)>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* -3 (pow x.im 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* -3 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (pow x.re 2)>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (* -1 (* x.im x.re))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* -1 (* x.im x.re))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im x.re))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>

Calls

93 calls:

Time	Variable		Point	Expression
6.0ms	x.re	@	-inf	(* x.im (* x.re (+ -1 (/ x.re x.im))))
1.0ms	x.re	@	0	(- (* (+ x.re x.im) (* x.im (* x.re (+ -1 (/ x.re x.im))))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms	x.re	@	inf	(- (* (+ x.re x.im) (* x.im (* x.re (+ -1 (/ x.re x.im))))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms	x.re	@	-inf	(- (* (+ x.re x.im) (* x.im (* x.re (+ -1 (/ x.re x.im))))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms	x.im	@	-inf	(- (* (+ x.re x.im) (* x.im (* x.re (+ -1 (/ x.re x.im))))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

rewrite127.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`-lowering-.f32`
682×	`-lowering-.f64`
358×	`/-lowering-/.f32`
358×	`/-lowering-/.f64`
292×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	126
1	157	117
0	1194	117

Stop Event

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

Counts

18 → 178

Calls

Call 1

Inputs
(- (* (+ x.re x.im) (* x.im (* x.re (+ -1 (/ x.re x.im))))) (* (+ (* x.re x.im) (* x.im x.re)) 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 (+ -1 (/ x.re x.im)))))
(* (* x.im (* x.re x.im)) -3)
(* x.im (* x.re x.im))
(* x.re x.im)
(* (* x.re -3) (* x.im x.im))
(* x.re -3)
(* x.im x.im)
(* (* x.re (* x.im -3)) x.im)
(* x.re (* x.im -3))
(* x.im -3)
(* x.re (+ (* x.re x.re) (* (* x.im -3) x.im)))
(+ (* x.re x.re) (* (* x.im -3) x.im))
(* x.re x.re)
(* (* x.im -3) x.im)
(* x.im (* x.re (+ -1 (/ x.re x.im))))

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

simplify221.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2988×	`-lowering-.f32`
2988×	`-lowering-.f64`
2036×	`sum3-define`
2022×	`sum4-define`
1596×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	112	2804
1	386	2480
2	1351	2394
3	6907	2394
0	8546	2394

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(pow x.re 3)
(* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(pow x.re 3)
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))) (* 2 x.re)))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(pow x.re 3)
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 x.re)
(* -3 x.re)
(* -3 x.re)
(* -3 x.re)
(* -3 x.re)
(* -3 x.re)
(* -3 x.re)
(* -3 x.re)
(* -3 x.re)
(* -3 x.re)
(* -3 x.re)
(* -3 x.re)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* x.im x.re))
(* -3 (* x.im x.re))
(* -3 (* x.im x.re))
(* -3 (* x.im x.re))
(* -3 (* x.im x.re))
(* -3 (* x.im x.re))
(* -3 (* x.im x.re))
(* -3 (* x.im x.re))
(* -3 (* x.im x.re))
(* -3 (* x.im x.re))
(* -3 (* x.im x.re))
(* -3 (* x.im x.re))
(* -3 (* x.im x.re))
(* -3 (* x.im x.re))
(* -3 (* x.im x.re))
(* -3 (* x.im x.re))
(* -3 (* x.im x.re))
(* -3 (* x.im x.re))
(* -3 (* x.im x.re))
(* -3 (* x.im x.re))
(* -3 (* x.im x.re))
(* -3 (* x.im x.re))
(* -3 (* x.im x.re))
(* -3 (* x.im x.re))
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 x.im)
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(pow x.re 3)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(* -3 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* -3 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(pow x.re 2)
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(* -1 (* x.im x.re))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* -1 (* x.im x.re))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(* -1 (* x.im x.re))
(* x.re (+ x.re (* -1 x.im)))
(* x.re (+ x.re (* -1 x.im)))
(* x.re (+ x.re (* -1 x.im)))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))

Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal -3 binary64))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (.f64 x.re x.re))))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (.f64 x.re x.re))))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (.f64 x.re x.re))))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (.f64 x.re x.re))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (.f64 x.re x.re))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (.f64 x.re x.re))))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+.f64 (.f64 x.re (.f64 x.re x.re)) #s(literal 0 binary64))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal -3 binary64))))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal -3 binary64))))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal -3 binary64))))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal -3 binary64))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))) (* 2 x.re)))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))) (* 2 x.re)))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* -1 (* (pow x.im 2) x.re))
(-.f64 #s(literal 0 binary64) (.f64 x.re (.f64 x.im x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
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(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (.f64 x.re x.re))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (.f64 x.re x.re))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (.f64 x.re x.re))))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (.f64 x.re x.re))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (.f64 x.re x.re))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (.f64 x.re x.re))))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))))
(* -3 (* (pow x.im 2) x.re))
(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal -3 binary64))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* -3 (* (pow x.im 2) x.re))
(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal -3 binary64))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* -3 (pow x.im 2))
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (.f64 x.re x.re) (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (.f64 x.re x.re) (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (.f64 x.re x.re) (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re x.re) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re x.re) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re x.re) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re))))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re x.re) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re x.re) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re x.re) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re))))
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (.f64 x.re x.re) (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (.f64 x.re x.re) (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (.f64 x.re x.re) (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(* -3 (pow x.im 2))
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)))
(* -3 (pow x.im 2))
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)))
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(* -3 (pow x.im 2))
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
(* -3 (pow x.im 2))
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
(* -3 (pow x.im 2))
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
(* -3 (pow x.im 2))
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
(* -3 (pow x.im 2))
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
(* -3 (pow x.im 2))
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
(* -3 (pow x.im 2))
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
(* -3 (pow x.im 2))
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
(* -3 (pow x.im 2))
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
(* -3 (pow x.im 2))
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
(* -3 (pow x.im 2))
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
(* -3 (pow x.im 2))
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(*.f64 x.re (-.f64 x.re x.im))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(*.f64 x.re (-.f64 x.re x.im))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(*.f64 x.re (-.f64 x.re x.im))
(* -1 (* x.im x.re))
(-.f64 #s(literal 0 binary64) (*.f64 x.re x.im))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* -1 (* x.im x.re))
(-.f64 #s(literal 0 binary64) (*.f64 x.re x.im))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* -1 (* x.im x.re))
(-.f64 #s(literal 0 binary64) (*.f64 x.re x.im))
(* x.re (+ x.re (* -1 x.im)))
(*.f64 x.re (-.f64 x.re x.im))
(* x.re (+ x.re (* -1 x.im)))
(*.f64 x.re (-.f64 x.re x.im))
(* x.re (+ x.re (* -1 x.im)))
(*.f64 x.re (-.f64 x.re x.im))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(.f64 x.re (.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(.f64 x.re (.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(.f64 x.re (.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(.f64 x.re (.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(.f64 x.re (.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(.f64 x.re (.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))

eval154.0ms (1.7%)

Compiler: Compiled 9877 to 519 computations (94.7% saved)

prune39.0ms (0.4%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	586	4	590
Fresh	1	1	2
Picked	1	4	5
Done	0	2	2
Total	588	11	599

Accuracy

100.0%

Counts

599 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.9%	(pow.f64 x.re #s(literal 3 binary64))
▶	83.7%	(-.f64 (.f64 (+.f64 x.re x.im) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) x.re) x.im) (.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	88.1%	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (.f64 x.re x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	87.9%	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
✓	57.6%	(.f64 (.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im)
✓	52.5%	(.f64 (.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
✓	57.6%	(.f64 (.f64 x.im (*.f64 x.re x.im)) #s(literal -3 binary64))
▶	70.5%	(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
✓	87.7%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im #s(literal -3 binary64)) x.im)))
✓	54.9%	(.f64 x.re (.f64 x.re x.re))
✓	52.4%	(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))

Compiler

Compiled 254 to 148 computations (41.7% saved)

simplify174.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	6208	(pow.f64 x.re #s(literal 3 binary64))
✓	cost-diff	128	(*.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im)
✓	cost-diff	384	(+.f64 (.f64 (-.f64 #s(literal 0 binary64) x.re) x.im) (.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im))
✓	cost-diff	384	(.f64 (+.f64 x.re x.im) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) x.re) x.im) (*.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im)))
✓	cost-diff	640	(-.f64 (.f64 (+.f64 x.re x.im) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) x.re) x.im) (.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
✓	cost-diff	0	(+.f64 x.re x.im)
✓	cost-diff	128	(.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
✓	cost-diff	128	(.f64 (+.f64 x.re x.im) (.f64 x.im (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
✓	cost-diff	256	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
✓	cost-diff	0	(+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im))
✓	cost-diff	0	(.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im)))
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
✓	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	cost-diff	128	(.f64 (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (.f64 x.re x.im))
✓	cost-diff	128	(.f64 (+.f64 x.re x.im) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (*.f64 x.re x.im)))
✓	cost-diff	384	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (.f64 x.re x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Rules

2782×	`fma-lowering-fma.f32`
2782×	`fma-lowering-fma.f64`
1856×	`fmsub-define`
1666×	`sum4-define`
1588×	`fmm-def`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	300
1	128	298
2	417	288
3	1466	270
4	5930	259
0	8098	259

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (* (+ x.re x.im) (* (+ -1 (/ x.re x.im)) (* x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
(* (+ x.re x.im) (* (+ -1 (/ x.re x.im)) (* x.re x.im)))
(+ x.re x.im)
x.re
x.im
(* (+ -1 (/ x.re x.im)) (* x.re x.im))
(+ -1 (/ x.re x.im))
-1
(/ x.re x.im)
(* x.re x.im)
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
(+ (* x.re x.im) (* x.im x.re))
(* x.im x.re)
(* (* x.im x.im) (* x.re (+ -3 (/ (/ (* x.re x.re) x.im) x.im))))
(* x.im x.im)
x.im
(* x.re (+ -3 (/ (/ (* x.re x.re) x.im) x.im)))
x.re
(+ -3 (/ (/ (* x.re x.re) x.im) x.im))
-3
(/ (/ (* x.re x.re) x.im) x.im)
(/ (* x.re x.re) x.im)
(* x.re x.re)
(- (* (+ x.re x.im) (* x.im (* x.re (+ -1 (/ x.re x.im))))) (* (* x.re (+ x.im x.im)) x.im))
(* (+ x.re x.im) (* x.im (* x.re (+ -1 (/ x.re x.im)))))
(+ x.re x.im)
x.re
x.im
(* x.im (* x.re (+ -1 (/ x.re x.im))))
(* x.re (+ -1 (/ x.re x.im)))
(+ -1 (/ x.re x.im))
-1
(/ x.re x.im)
(* (* x.re (+ x.im x.im)) x.im)
(* x.re (+ x.im x.im))
(+ x.im x.im)
(- (* (+ x.re x.im) (+ (* (- 0 x.re) x.im) (* (/ x.re (/ x.im x.re)) x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
(* (+ x.re x.im) (+ (* (- 0 x.re) x.im) (* (/ x.re (/ x.im x.re)) x.im)))
(+ x.re x.im)
x.re
x.im
(+ (* (- 0 x.re) x.im) (* (/ x.re (/ x.im x.re)) x.im))
(* (- 0 x.re) x.im)
(- 0 x.re)
0
(* (/ x.re (/ x.im x.re)) x.im)
(/ x.re (/ x.im x.re))
(/ x.im x.re)
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
(+ (* x.re x.im) (* x.im x.re))
(* x.re x.im)
(* x.im x.re)
(pow x.re 3)
x.re
3

Outputs
(- (* (+ x.re x.im) (* (+ -1 (/ x.re x.im)) (* x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
(.f64 (.f64 x.re x.im) (+.f64 (.f64 (+.f64 x.re x.im) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) (.f64 x.im #s(literal -2 binary64))))
(* (+ x.re x.im) (* (+ -1 (/ x.re x.im)) (* x.re x.im)))
(.f64 x.re (.f64 (+.f64 x.re x.im) (-.f64 (*.f64 x.re #s(literal 1 binary64)) x.im)))
(+ x.re x.im)
(+.f64 x.re x.im)
x.re
x.im
(* (+ -1 (/ x.re x.im)) (* x.re x.im))
(.f64 x.re (-.f64 (.f64 x.re #s(literal 1 binary64)) x.im))
(+ -1 (/ x.re x.im))
(+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))
-1
#s(literal -1 binary64)
(/ x.re x.im)
(/.f64 x.re x.im)
(* x.re x.im)
(*.f64 x.re x.im)
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(+ (* x.re x.im) (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* x.im x.re)
(*.f64 x.re x.im)
(* (* x.im x.im) (* x.re (+ -3 (/ (/ (* x.re x.re) x.im) x.im))))
(.f64 x.re (+.f64 (.f64 (.f64 x.re #s(literal 1 binary64)) (.f64 x.re #s(literal 1 binary64))) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))
(* x.im x.im)
(*.f64 x.im x.im)
x.im
(* x.re (+ -3 (/ (/ (* x.re x.re) x.im) x.im)))
(.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 x.re (/.f64 (.f64 x.im x.im) x.re))))
x.re
(+ -3 (/ (/ (* x.re x.re) x.im) x.im))
(+.f64 #s(literal -3 binary64) (/.f64 x.re (/.f64 (*.f64 x.im x.im) x.re)))
-3
#s(literal -3 binary64)
(/ (/ (* x.re x.re) x.im) x.im)
(/.f64 x.re (/.f64 (*.f64 x.im x.im) x.re))
(/ (* x.re x.re) x.im)
(/.f64 x.re (/.f64 x.im x.re))
(* x.re x.re)
(*.f64 x.re x.re)
(- (* (+ x.re x.im) (* x.im (* x.re (+ -1 (/ x.re x.im))))) (* (* x.re (+ x.im x.im)) x.im))
(.f64 (.f64 x.re x.im) (+.f64 (.f64 (+.f64 x.re x.im) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) (.f64 x.im #s(literal -2 binary64))))
(* (+ x.re x.im) (* x.im (* x.re (+ -1 (/ x.re x.im)))))
(.f64 x.re (.f64 (+.f64 x.re x.im) (-.f64 (*.f64 x.re #s(literal 1 binary64)) x.im)))
(+ x.re x.im)
(+.f64 x.re x.im)
x.re
x.im
(* x.im (* x.re (+ -1 (/ x.re x.im))))
(.f64 x.re (-.f64 (.f64 x.re #s(literal 1 binary64)) x.im))
(* x.re (+ -1 (/ x.re x.im)))
(*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(+ -1 (/ x.re x.im))
(+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))
-1
#s(literal -1 binary64)
(/ x.re x.im)
(/.f64 x.re x.im)
(* (* x.re (+ x.im x.im)) x.im)
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* x.re (+ x.im x.im))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(+ x.im x.im)
(*.f64 x.im #s(literal 2 binary64))
(- (* (+ x.re x.im) (+ (* (- 0 x.re) x.im) (* (/ x.re (/ x.im x.re)) x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
(.f64 (.f64 x.re x.im) (+.f64 (.f64 (+.f64 x.re x.im) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) (.f64 x.im #s(literal -2 binary64))))
(* (+ x.re x.im) (+ (* (- 0 x.re) x.im) (* (/ x.re (/ x.im x.re)) x.im)))
(.f64 x.re (.f64 (+.f64 x.re x.im) (-.f64 (*.f64 x.re #s(literal 1 binary64)) x.im)))
(+ x.re x.im)
(+.f64 x.re x.im)
x.re
x.im
(+ (* (- 0 x.re) x.im) (* (/ x.re (/ x.im x.re)) x.im))
(.f64 x.re (-.f64 (.f64 x.re #s(literal 1 binary64)) x.im))
(* (- 0 x.re) x.im)
(-.f64 #s(literal 0 binary64) (*.f64 x.re x.im))
(- 0 x.re)
(-.f64 #s(literal 0 binary64) x.re)
0
#s(literal 0 binary64)
(* (/ x.re (/ x.im x.re)) x.im)
(.f64 x.re (.f64 x.re #s(literal 1 binary64)))
(/ x.re (/ x.im x.re))
(/.f64 x.re (/.f64 x.im x.re))
(/ x.im x.re)
(/.f64 x.im x.re)
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(+ (* x.re x.im) (* x.im x.re))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(* x.re x.im)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
x.re
3
#s(literal 3 binary64)

localize243.0ms (2.7%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x.re #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 (+.f64 x.re x.im) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) x.re) x.im) (*.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im)))
✓	accuracy	92.8%	(-.f64 (.f64 (+.f64 x.re x.im) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) x.re) x.im) (.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
✓	accuracy	89.8%	(+.f64 (.f64 (-.f64 #s(literal 0 binary64) x.re) x.im) (.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im))
✓	accuracy	88.2%	(*.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im)
✓	accuracy	99.8%	(.f64 (+.f64 x.re x.im) (.f64 x.im (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
✓	accuracy	99.8%	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
✓	accuracy	94.0%	(.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
✓	accuracy	92.8%	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
✓	accuracy	98.0%	(.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im)))
✓	accuracy	96.6%	(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
✓	accuracy	90.4%	(/.f64 (*.f64 x.re x.re) x.im)
✓	accuracy	77.6%	(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	99.8%	(.f64 (+.f64 x.re x.im) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (*.f64 x.re x.im)))
✓	accuracy	93.9%	(.f64 (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (.f64 x.re x.im))
✓	accuracy	92.8%	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (.f64 x.re x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

110.0ms	235×	0	valid
25.0ms	3×	2	valid
10.0ms	8×	3	valid
6.0ms	4×	4	valid
5.0ms	6×	1	valid

Compiler

Compiled 332 to 40 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 39.0ms (41.9% of total)

backward-pass: 26.0ms (27.9% of total)

ival-div: 10.0ms (10.7% of total)

ival-add: 9.0ms (9.7% of total)

ival-sub: 5.0ms (5.4% of total)

ival-pow: 5.0ms (5.4% of total)

const: 1.0ms (1.1% of total)

series23.0ms (0.3%)

Counts

20 → 456

Calls

Call 1

Inputs
#<alt (- (* (+ x.re x.im) (* (+ -1 (/ x.re x.im)) (* x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))>
#<alt (* (+ x.re x.im) (* (+ -1 (/ x.re x.im)) (* x.re x.im)))>
#<alt (* (+ -1 (/ x.re x.im)) (* x.re x.im))>
#<alt (* (+ (* x.re x.im) (* x.im x.re)) x.im)>
#<alt (* (* x.im x.im) (* x.re (+ -3 (/ (/ (* x.re x.re) x.im) x.im))))>
#<alt (* x.im x.im)>
#<alt (* x.re (+ -3 (/ (/ (* x.re x.re) x.im) x.im)))>
#<alt (+ -3 (/ (/ (* x.re x.re) x.im) x.im))>
#<alt (- (* (+ x.re x.im) (* x.im (* x.re (+ -1 (/ x.re x.im))))) (* (* x.re (+ x.im x.im)) x.im))>
#<alt (* (+ x.re x.im) (* x.im (* x.re (+ -1 (/ x.re x.im)))))>
#<alt (* x.im (* x.re (+ -1 (/ x.re x.im))))>
#<alt (+ x.re x.im)>
#<alt (- (* (+ x.re x.im) (+ (* (- 0 x.re) x.im) (* (/ x.re (/ x.im x.re)) x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))>
#<alt (* (+ x.re x.im) (+ (* (- 0 x.re) x.im) (* (/ x.re (/ x.im x.re)) x.im)))>
#<alt (+ (* (- 0 x.re) x.im) (* (/ x.re (/ x.im x.re)) x.im))>
#<alt (* (/ x.re (/ x.im x.re)) x.im)>
#<alt (pow x.re 3)>
#<alt (/ (* x.re x.re) x.im)>
#<alt (/ (/ (* x.re x.re) x.im) x.im)>
#<alt (* (* x.re (+ x.im x.im)) x.im)>

Outputs
#<alt (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (pow x.re 3)>
#<alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))) (* 2 x.re)))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))))>
#<alt (* -1 (* x.im x.re))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (pow x.re 2)>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (* -1 (* x.im x.re))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* -1 (* x.im x.re))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (pow x.re 3)>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (* -3 x.re)>
#<alt (* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))>
#<alt (* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))>
#<alt (* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2))>
#<alt (/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2))>
#<alt (/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2))>
#<alt (* -3 x.re)>
#<alt (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))>
#<alt (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))>
#<alt (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))>
#<alt (* -3 x.re)>
#<alt (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))>
#<alt (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))>
#<alt (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))>
#<alt -3>
#<alt (- (/ (pow x.re 2) (pow x.im 2)) 3)>
#<alt (- (/ (pow x.re 2) (pow x.im 2)) 3)>
#<alt (- (/ (pow x.re 2) (pow x.im 2)) 3)>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))>
#<alt (* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))>
#<alt (* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))>
#<alt (* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))>
#<alt (* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2))>
#<alt (/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2))>
#<alt (/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2))>
#<alt -3>
#<alt (- (/ (pow x.re 2) (pow x.im 2)) 3)>
#<alt (- (/ (pow x.re 2) (pow x.im 2)) 3)>
#<alt (- (/ (pow x.re 2) (pow x.im 2)) 3)>
#<alt -3>
#<alt (- (/ (pow x.re 2) (pow x.im 2)) 3)>
#<alt (- (/ (pow x.re 2) (pow x.im 2)) 3)>
#<alt (- (/ (pow x.re 2) (pow x.im 2)) 3)>
#<alt (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (pow x.re 3)>
#<alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))) (* 2 x.re)))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))))>
#<alt (pow x.re 2)>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (* -1 (* x.im x.re))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* -1 (* x.im x.re))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im x.re))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt x.im>
#<alt (+ x.im x.re)>
#<alt (+ x.im x.re)>
#<alt (+ x.im x.re)>
#<alt x.re>
#<alt (* x.re (+ 1 (/ x.im x.re)))>
#<alt (* x.re (+ 1 (/ x.im x.re)))>
#<alt (* x.re (+ 1 (/ x.im x.re)))>
#<alt x.re>
#<alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))>
#<alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))>
#<alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))>
#<alt x.re>
#<alt (+ x.im x.re)>
#<alt (+ x.im x.re)>
#<alt (+ x.im x.re)>
#<alt x.im>
#<alt (* x.im (+ 1 (/ x.re x.im)))>
#<alt (* x.im (+ 1 (/ x.re x.im)))>
#<alt (* x.im (+ 1 (/ x.re x.im)))>
#<alt x.im>
#<alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))>
#<alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))>
#<alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))>
#<alt (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))>
#<alt (* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (pow x.re 2)))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (pow x.re 2)))) (pow x.re 3))>
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2))))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2))))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im))) (* 2 x.re)))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))>
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))>
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* -1 (* x.im x.re)) (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* -1 (* x.im x.re)) (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (pow x.re 3))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2))))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im))))>
#<alt (* -1 (* x.im x.re))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (pow x.re 2)>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (* -1 (* x.im x.re))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* -1 (* x.im x.re))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) x.im)>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (/ (pow x.re 2) (pow x.im 2))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>

Calls

114 calls:

Time	Variable		Point	Expression
5.0ms	x.im	@	0	(/ (* x.re x.re) x.im)
4.0ms	x.im	@	inf	(/ (/ (* x.re x.re) x.im) x.im)
1.0ms	x.re	@	0	(* (* x.im x.im) (* x.re (+ -3 (/ (/ (* x.re x.re) x.im) x.im))))
1.0ms	x.re	@	inf	(* (* x.im x.im) (* x.re (+ -3 (/ (/ (* x.re x.re) x.im) x.im))))
1.0ms	x.im	@	inf	(* (* x.im x.im) (* x.re (+ -3 (/ (/ (* x.re x.re) x.im) x.im))))

rewrite667.0ms (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4904×	`-lowering-.f32`
4904×	`-lowering-.f64`
3270×	`/-lowering-/.f32`
3270×	`/-lowering-/.f64`
2342×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	203
1	298	175
2	2578	164
0	10456	164

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 2000

Calls

Call 1

Inputs
(- (* (+ x.re x.im) (* (+ -1 (/ x.re x.im)) (* x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
(* (+ x.re x.im) (* (+ -1 (/ x.re x.im)) (* x.re x.im)))
(* (+ -1 (/ x.re x.im)) (* x.re x.im))
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
(* (* x.im x.im) (* x.re (+ -3 (/ (/ (* x.re x.re) x.im) x.im))))
(* x.im x.im)
(* x.re (+ -3 (/ (/ (* x.re x.re) x.im) x.im)))
(+ -3 (/ (/ (* x.re x.re) x.im) x.im))
(- (* (+ x.re x.im) (* x.im (* x.re (+ -1 (/ x.re x.im))))) (* (* x.re (+ x.im x.im)) x.im))
(* (+ x.re x.im) (* x.im (* x.re (+ -1 (/ x.re x.im)))))
(* x.im (* x.re (+ -1 (/ x.re x.im))))
(+ x.re x.im)
(- (* (+ x.re x.im) (+ (* (- 0 x.re) x.im) (* (/ x.re (/ x.im x.re)) x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
(* (+ x.re x.im) (+ (* (- 0 x.re) x.im) (* (/ x.re (/ x.im x.re)) x.im)))
(+ (* (- 0 x.re) x.im) (* (/ x.re (/ x.im x.re)) x.im))
(* (/ x.re (/ x.im x.re)) x.im)
(pow x.re 3)
(/ (* x.re x.re) x.im)
(/ (/ (* x.re x.re) x.im) x.im)
(* (* x.re (+ x.im x.im)) x.im)

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

simplify240.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

3916×	`-lowering-.f32`
3916×	`-lowering-.f64`
3520×	`+-lowering-+.f64`
3520×	`+-lowering-+.f32`
1734×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	4165
1	763	3406
2	2946	3345
0	8554	3345

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

Inputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(pow x.re 3)
(* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(pow x.re 3)
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))) (* 2 x.re)))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(pow x.re 3)
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))))
(* -1 (* x.im x.re))
(* x.re (+ x.re (* -1 x.im)))
(* x.re (+ x.re (* -1 x.im)))
(* x.re (+ x.re (* -1 x.im)))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(pow x.re 2)
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(* -1 (* x.im x.re))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* -1 (* x.im x.re))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(pow x.re 3)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* -3 x.re)
(* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3))
(/ (pow x.re 3) (pow x.im 2))
(* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(/ (pow x.re 3) (pow x.im 2))
(* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))
(* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))
(* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))
(/ (pow x.re 3) (pow x.im 2))
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2))
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2))
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2))
(* -3 x.re)
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))
(* -3 x.re)
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))
-3
(- (/ (pow x.re 2) (pow x.im 2)) 3)
(- (/ (pow x.re 2) (pow x.im 2)) 3)
(- (/ (pow x.re 2) (pow x.im 2)) 3)
(/ (pow x.re 2) (pow x.im 2))
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(/ (pow x.re 2) (pow x.im 2))
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(/ (pow x.re 2) (pow x.im 2))
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2))
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2))
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2))
-3
(- (/ (pow x.re 2) (pow x.im 2)) 3)
(- (/ (pow x.re 2) (pow x.im 2)) 3)
(- (/ (pow x.re 2) (pow x.im 2)) 3)
-3
(- (/ (pow x.re 2) (pow x.im 2)) 3)
(- (/ (pow x.re 2) (pow x.im 2)) 3)
(- (/ (pow x.re 2) (pow x.im 2)) 3)
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(pow x.re 3)
(* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(pow x.re 3)
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))) (* 2 x.re)))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(pow x.re 3)
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))))
(pow x.re 2)
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(* -1 (* x.im x.re))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* -1 (* x.im x.re))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(* -1 (* x.im x.re))
(* x.re (+ x.re (* -1 x.im)))
(* x.re (+ x.re (* -1 x.im)))
(* x.re (+ x.re (* -1 x.im)))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
x.im
(+ x.im x.re)
(+ x.im x.re)
(+ x.im x.re)
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ 1 (/ x.im x.re)))
x.re
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
x.re
(+ x.im x.re)
(+ x.im x.re)
(+ x.im x.re)
x.im
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ 1 (/ x.re x.im)))
x.im
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(pow x.re 3)
(+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3))
(+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (pow x.re 2)))) (pow x.re 3))
(+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (pow x.re 2)))) (pow x.re 3))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2))))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2))))) (* 2 x.re)))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im))) (* 2 x.re)))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(pow x.re 3)
(+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (pow x.re 3))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2))))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 2) x.im) (/ (pow x.re 3) (pow x.im 2))))))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im))))
(* -1 (* x.im x.re))
(* x.re (+ x.re (* -1 x.im)))
(* x.re (+ x.re (* -1 x.im)))
(* x.re (+ x.re (* -1 x.im)))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(pow x.re 2)
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(* -1 (* x.im x.re))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* -1 (* x.im x.re))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))

Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) x.re)))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) x.re)))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) x.re)))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) x.re)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) x.re)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) x.re)))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(.f64 x.re (.f64 x.re x.re))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))) (* 2 x.re)))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))) (* 2 x.re)))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* -1 (* (pow x.im 2) x.re))
(.f64 x.im (-.f64 #s(literal 0 binary64) (.f64 x.re x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(.f64 (.f64 x.re (.f64 x.re x.re)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(.f64 (.f64 x.re (.f64 x.re x.re)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(.f64 (.f64 x.re (.f64 x.re x.re)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(.f64 x.re (.f64 x.re x.re))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(* -1 (* (pow x.im 2) x.re))
(.f64 x.im (-.f64 #s(literal 0 binary64) (.f64 x.re x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(.f64 x.im (-.f64 #s(literal 0 binary64) (.f64 x.re x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* -1 (* (pow x.im 2) x.re))
(.f64 x.im (-.f64 #s(literal 0 binary64) (.f64 x.re x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(.f64 x.im (-.f64 #s(literal 0 binary64) (.f64 x.re x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (* x.re (+ x.re (* -1 x.re)))) (* -1 (/ (pow x.re 3) x.im))) x.im))))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* -1 (* x.im x.re))
(-.f64 #s(literal 0 binary64) (*.f64 x.re x.im))
(* x.re (+ x.re (* -1 x.im)))
(*.f64 x.re (-.f64 x.re x.im))
(* x.re (+ x.re (* -1 x.im)))
(*.f64 x.re (-.f64 x.re x.im))
(* x.re (+ x.re (* -1 x.im)))
(*.f64 x.re (-.f64 x.re x.im))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(.f64 x.re (.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(.f64 x.re (.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(.f64 x.re (.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(.f64 x.re (.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(.f64 x.re (.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(.f64 x.re (.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(*.f64 x.re (-.f64 x.re x.im))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(*.f64 x.re (-.f64 x.re x.im))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(*.f64 x.re (-.f64 x.re x.im))
(* -1 (* x.im x.re))
(-.f64 #s(literal 0 binary64) (*.f64 x.re x.im))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(.f64 x.im (.f64 x.re (+.f64 (/.f64 x.re x.im) #s(literal -1 binary64))))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(.f64 x.im (.f64 x.re (+.f64 (/.f64 x.re x.im) #s(literal -1 binary64))))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(.f64 x.im (.f64 x.re (+.f64 (/.f64 x.re x.im) #s(literal -1 binary64))))
(* -1 (* x.im x.re))
(-.f64 #s(literal 0 binary64) (*.f64 x.re x.im))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(.f64 x.im (.f64 x.re (+.f64 (/.f64 x.re x.im) #s(literal -1 binary64))))
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(.f64 x.im (.f64 x.re (+.f64 (/.f64 x.re x.im) #s(literal -1 binary64))))
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(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im))))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im))))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* -1 (* x.im x.re))
(-.f64 #s(literal 0 binary64) (*.f64 x.re x.im))
(* x.re (+ x.re (* -1 x.im)))
(*.f64 x.re (-.f64 x.re x.im))
(* x.re (+ x.re (* -1 x.im)))
(*.f64 x.re (-.f64 x.re x.im))
(* x.re (+ x.re (* -1 x.im)))
(*.f64 x.re (-.f64 x.re x.im))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(.f64 x.re (.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(.f64 x.re (.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(.f64 x.re (.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(.f64 x.re (.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(.f64 x.re (.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(.f64 x.re (.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(*.f64 x.re (-.f64 x.re x.im))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(*.f64 x.re (-.f64 x.re x.im))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(*.f64 x.re (-.f64 x.re x.im))
(* -1 (* x.im x.re))
(-.f64 #s(literal 0 binary64) (*.f64 x.re x.im))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(.f64 x.im (.f64 x.re (+.f64 (/.f64 x.re x.im) #s(literal -1 binary64))))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(.f64 x.im (.f64 x.re (+.f64 (/.f64 x.re x.im) #s(literal -1 binary64))))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(.f64 x.im (.f64 x.re (+.f64 (/.f64 x.re x.im) #s(literal -1 binary64))))
(* -1 (* x.im x.re))
(-.f64 #s(literal 0 binary64) (*.f64 x.re x.im))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(.f64 x.im (.f64 x.re (+.f64 (/.f64 x.re x.im) #s(literal -1 binary64))))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(.f64 x.im (.f64 x.re (+.f64 (/.f64 x.re x.im) #s(literal -1 binary64))))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(.f64 x.im (.f64 x.re (+.f64 (/.f64 x.re x.im) #s(literal -1 binary64))))
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))

eval338.0ms (3.7%)

Compiler: Compiled 134890 to 3354 computations (97.5% saved)

prune260.0ms (2.9%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	2663	5	2668
Fresh	0	0	0
Picked	4	1	5
Done	0	6	6
Total	2667	12	2679

Accuracy

100.0%

Counts

2679 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.9%	(pow.f64 x.re #s(literal 3 binary64))
	77.8%	(-.f64 (.f64 (+.f64 x.re x.im) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) x.re) x.im) (/.f64 (.f64 (.f64 x.re x.re) x.im) x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	61.1%	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (*.f64 x.re x.im))) (+.f64 x.im x.im))
	60.1%	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 x.im (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) (+.f64 x.im x.im))
	72.8%	(.f64 (+.f64 #s(literal -3 binary64) (/.f64 x.re (.f64 x.im (/.f64 x.im x.re)))) (.f64 x.re (.f64 x.im x.im)))
✓	57.6%	(.f64 (.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im)
✓	52.5%	(.f64 (.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
✓	57.6%	(.f64 (.f64 x.im (*.f64 x.re x.im)) #s(literal -3 binary64))
	34.7%	(.f64 (.f64 x.im x.im) (.f64 x.re (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im)))
✓	87.7%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im #s(literal -3 binary64)) x.im)))
✓	54.9%	(.f64 x.re (.f64 x.re x.re))
✓	52.4%	(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))

Compiler

Compiled 553 to 194 computations (64.9% saved)

regimes25.0ms (0.3%)

Counts

25 → 2

Calls

Call 1

Inputs
(.f64 x.re (.f64 x.re x.re))
(.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re)))
(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(.f64 (.f64 x.im (*.f64 x.re x.im)) #s(literal -3 binary64))
(.f64 (.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
(.f64 (.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im)
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im #s(literal -3 binary64)) x.im)))
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))
(.f64 (.f64 x.im x.im) (.f64 x.re (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im)))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(.f64 (+.f64 #s(literal -3 binary64) (/.f64 x.re (.f64 x.im (/.f64 x.im x.re)))) (.f64 x.re (.f64 x.im x.im)))
(-.f64 (.f64 (+.f64 x.re x.im) (.f64 x.im (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) (+.f64 x.im x.im))
(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (*.f64 x.re x.im))) (+.f64 x.im x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.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))
(-.f64 (.f64 (+.f64 x.re x.im) (.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(-.f64 (.f64 (+.f64 x.re x.im) (.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (.f64 x.re x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (+.f64 x.re x.im) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) x.re) x.im) (.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (+.f64 x.re x.im) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) x.re) x.im) (/.f64 (.f64 (.f64 x.re x.re) x.im) x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(.f64 x.re (/.f64 (-.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64)) (.f64 x.re (.f64 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 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) x.re) (+.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))
(pow.f64 x.re #s(literal 3 binary64))

Outputs

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

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

Calls

3 calls:

9.0ms	x.re
7.0ms	(-.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))
7.0ms	x.im

Results

Accuracy	Segments	Branch
99.9%	2	`x.re`
97.1%	2	`x.im`
99.9%	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 27 to 15 computations (44.4% saved)

regimes6.0ms (0.1%)

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) (+.f64 x.im x.im))

Calls

1 calls:

5.0ms

x.re

Results

Accuracy	Segments	Branch
99.5%	3	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) (+.f64 x.im x.im))

Calls

1 calls:

5.0ms

x.re

Results

Accuracy	Segments	Branch
99.5%	3	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x.re
4.0ms	x.im

Results

Accuracy	Segments	Branch
97.1%	2	`x.im`
95.2%	3	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x.im
3.0ms	x.re

Results

Accuracy	Segments	Branch
78.8%	2	`x.re`
85.6%	2	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 x.re (.f64 x.re x.re))

Outputs
(.f64 x.re (.f64 x.re x.re))

Calls

2 calls:

1.0ms	x.re
1.0ms	x.im

Results

Accuracy	Segments	Branch
54.9%	1	`x.re`
54.9%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch45.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
2.0ms	8.651555697313158e+100	7.459060992795027e+105
42.0ms	1.0363177229028405e-119	2.3767422314740713e-117

Results

9.0ms

112×

valid

Compiler

Compiled 246 to 146 computations (40.7% saved)

Precisions

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

ival-mult: 5.0ms (80.5% of total)

ival-sub: 1.0ms (16.1% of total)

ival-add: 1.0ms (16.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
2.0ms	8.651555697313158e+100	7.459060992795027e+105
10.0ms	1.0363177229028405e-119	2.3767422314740713e-117

Results

8.0ms

96×

valid

Compiler

Compiled 180 to 116 computations (35.6% saved)

Precisions

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

ival-mult: 4.0ms (75% of total)

ival-sub: 1.0ms (18.7% of total)

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.69160206591089e+142	1.1999897348440147e+146

Results

12.0ms

128×

valid

Compiler

Compiled 218 to 143 computations (34.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 6.0ms (72.4% of total)

ival-sub: 1.0ms (12.1% of total)

ival-add: 1.0ms (12.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.61013498977415e+83	2.081171935763058e+83

Results

4.0ms

48×

valid

Compiler

Compiled 80 to 51 computations (36.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (73.9% of total)

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

56×	`*-commutative_binary64`
40×	`+-commutative_binary64`
30×	`sub-neg_binary64`
18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	191
1	102	191
2	141	191
3	165	191
4	176	191
5	178	191

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (.f64 (+.f64 #s(literal -3 binary64) (/.f64 x.re (.f64 x.im (/.f64 x.im x.re)))) (.f64 x.re (*.f64 x.im x.im))))
(if (<=.f64 x.re #s(literal 5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (.f64 #s(literal -3 binary64) (.f64 x.im (.f64 x.im x.re))) (if (<=.f64 x.re #s(literal 99999999999999997704951326524533662844684271992415000612999597473199345218078991130326129448151154688 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (-.f64 (.f64 (+.f64 x.re x.im) (.f64 x.im (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) (+.f64 x.im x.im))))
(if (<=.f64 x.re #s(literal 5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (.f64 #s(literal -3 binary64) (.f64 x.im (.f64 x.im x.re))) (if (<=.f64 x.re #s(literal 99999999999999997704951326524533662844684271992415000612999597473199345218078991130326129448151154688 binary64)) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im #s(literal -3 binary64)) x.im))) (-.f64 (.f64 (+.f64 x.re x.im) (.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) (+.f64 x.im x.im))))
(if (<=.f64 x.im #s(literal 116000000000000002061302730073324506564800773592356207887812669841793398034254491264253277921659256359010530893490558940444233187356356505275203584 binary64)) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im #s(literal -3 binary64)) x.im))) (.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re))))
(if (<=.f64 x.im #s(literal 164999999999999992277124766212713487315259420278286951493404477007761147206482001920 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re))))
(.f64 x.re (.f64 x.re x.re))

Outputs
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (.f64 (+.f64 #s(literal -3 binary64) (/.f64 x.re (.f64 x.im (/.f64 x.im x.re)))) (.f64 x.re (*.f64 x.im x.im))))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal +inf.0 binary64)) (-.f64 (.f64 (+.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) (.f64 (+.f64 #s(literal -3 binary64) (/.f64 x.re (.f64 x.im (/.f64 x.im x.re)))) (.f64 x.re (*.f64 x.im x.im))))
(if (<=.f64 x.re #s(literal 5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (.f64 #s(literal -3 binary64) (.f64 x.im (.f64 x.im x.re))) (if (<=.f64 x.re #s(literal 99999999999999997704951326524533662844684271992415000612999597473199345218078991130326129448151154688 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (-.f64 (.f64 (+.f64 x.re x.im) (.f64 x.im (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) (+.f64 x.im x.im))))
(if (<=.f64 x.re #s(literal 5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (.f64 #s(literal -3 binary64) (.f64 x.im (.f64 x.re x.im))) (if (<=.f64 x.re #s(literal 99999999999999997704951326524533662844684271992415000612999597473199345218078991130326129448151154688 binary64)) (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (.f64 x.re (+.f64 x.im x.im)))) (-.f64 (.f64 (+.f64 x.re x.im) (.f64 x.im (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) (+.f64 x.im x.im))))
(if (<=.f64 x.re #s(literal 5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (.f64 #s(literal -3 binary64) (.f64 x.im (.f64 x.im x.re))) (if (<=.f64 x.re #s(literal 99999999999999997704951326524533662844684271992415000612999597473199345218078991130326129448151154688 binary64)) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im #s(literal -3 binary64)) x.im))) (-.f64 (.f64 (+.f64 x.re x.im) (.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) (+.f64 x.im x.im))))
(if (<=.f64 x.re #s(literal 5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (.f64 #s(literal -3 binary64) (.f64 x.im (.f64 x.re x.im))) (if (<=.f64 x.re #s(literal 99999999999999997704951326524533662844684271992415000612999597473199345218078991130326129448151154688 binary64)) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64))))) (-.f64 (.f64 (+.f64 x.re x.im) (.f64 x.im (.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) (+.f64 x.im x.im))))
(if (<=.f64 x.im #s(literal 116000000000000002061302730073324506564800773592356207887812669841793398034254491264253277921659256359010530893490558940444233187356356505275203584 binary64)) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im #s(literal -3 binary64)) x.im))) (.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re))))
(if (<=.f64 x.im #s(literal 116000000000000002061302730073324506564800773592356207887812669841793398034254491264253277921659256359010530893490558940444233187356356505275203584 binary64)) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64))))) (.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.re x.im))))
(if (<=.f64 x.im #s(literal 164999999999999992277124766212713487315259420278286951493404477007761147206482001920 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re))))
(if (<=.f64 x.im #s(literal 164999999999999992277124766212713487315259420278286951493404477007761147206482001920 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.re x.im))))
(.f64 x.re (.f64 x.re x.re))

soundness2.0s (22.5%)

Rules

4904×	`-lowering-.f32`
4904×	`-lowering-.f64`
4034×	`-lowering-.f32`
4034×	`-lowering-.f64`
3270×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	75	1410
1	241	1380
2	761	1368
3	3359	1368
0	8760	1368
0	112	2804
1	386	2480
2	1351	2394
3	6907	2394
0	8546	2394
0	11	16
1	33	15
2	81	15
3	263	11
4	910	10
5	5377	10
0	8193	10
0	39	203
1	298	175
2	2578	164
0	10456	164
0	15	73
1	112	64
0	925	64
0	27	126
1	157	117
0	1194	117
0	202	3875
1	694	3233
2	2455	2873
0	8259	2873

Stop Event

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

Compiler

Compiled 564 to 275 computations (51.2% saved)

preprocess52.0ms (0.6%)

Remove

(negabs x.re)

(abs x.im)

Compiler

Compiled 698 to 258 computations (63% saved)

analyze0.0ms (0%)

sample970.0ms (10.6%)

preprocess211.0ms (2.3%)

explain126.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify190.0ms (2.1%)

localize62.0ms (0.7%)

series17.0ms (0.2%)

rewrite88.0ms (1%)

simplify274.0ms (3%)

eval33.0ms (0.4%)

prune50.0ms (0.5%)

simplify224.0ms (2.5%)

localize152.0ms (1.7%)

series44.0ms (0.5%)

rewrite623.0ms (6.8%)

simplify247.0ms (2.7%)

eval331.0ms (3.6%)

prune357.0ms (3.9%)

simplify216.0ms (2.4%)

localize135.0ms (1.5%)

series24.0ms (0.3%)

rewrite127.0ms (1.4%)

simplify221.0ms (2.4%)

eval154.0ms (1.7%)

prune39.0ms (0.4%)

simplify174.0ms (1.9%)

localize243.0ms (2.7%)

series23.0ms (0.3%)

rewrite667.0ms (7.3%)

simplify240.0ms (2.6%)

eval338.0ms (3.7%)

prune260.0ms (2.9%)

regimes25.0ms (0.3%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes15.0ms (0.2%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch45.0ms (0.5%)

bsearch14.0ms (0.1%)

bsearch18.0ms (0.2%)

bsearch6.0ms (0.1%)

simplify16.0ms (0.2%)

soundness2.0s (22.5%)

preprocess52.0ms (0.6%)

end0.0ms (0%)

Profiling