Metrics for math.cube on complex, real part

analyze1.0ms (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)

sample2.7s (13.1%)

Results

2.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-mult: 1.1s (72.3% of total)

ival-sub: 287.0ms (18.8% of total)

ival-add: 121.0ms (7.9% of total)

const: 11.0ms (0.7% of total)

backward-pass: 4.0ms (0.3% of total)

Bogosity

preprocess457.0ms (2.2%)

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)

explain334.0ms (1.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
25	-	-	`(-.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))`
17	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
6	-	-	`(.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

173.0ms

512×

valid

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 56.0ms (75.1% of total)

ival-sub: 12.0ms (16.1% of total)

ival-add: 6.0ms (8% of total)

const: 1.0ms (1.3% of total)

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

eval1.0ms (0%)

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

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.4%	(-.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))
▶	91.0%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))

Status

Accuracy

Program

▶

84.4%

(-.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))

▶

91.0%

(*.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)

simplify387.0ms (1.9%)

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)

localize181.0ms (0.9%)

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	97.6%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	accuracy	94.0%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	92.1%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.7%	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
✓	accuracy	97.6%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))
✓	accuracy	94.0%	(+.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))

Results

109.0ms

256×

valid

Compiler

Compiled 102 to 16 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 38.0ms (75.9% of total)

ival-sub: 6.0ms (12% of total)

ival-add: 6.0ms (12% of total)

const: 1.0ms (2% of total)

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

series64.0ms (0.3%)

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
24.0ms	x.re	@	inf	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
5.0ms	x.re	@	0	(+ (* x.re x.im) (* x.im x.re))
3.0ms	x.re	@	0	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
3.0ms	x.re	@	0	(* x.re (+ (* x.re x.re) (* (* x.im x.im) -3)))
2.0ms	x.re	@	-inf	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

rewrite219.0ms (1.1%)

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 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) #s(literal 3 binary64))) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (-.f64 (.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 (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))

simplify639.0ms (3.1%)

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))
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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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eval101.0ms (0.5%)

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

prune80.0ms (0.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	359	13	372
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	360	14	374

Accuracy

100.0%

Counts

374 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.0%	(/.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)))))))
	38.2%	(/.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))))
▶	19.0%	(/.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)))))
	22.9%	(-.f64 (.f64 (/.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)))))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	84.4%	(-.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))
	87.9%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	91.0%	(.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)))
▶	44.8%	(.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))))
✓	91.0%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))
	43.2%	(.f64 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))))))
▶	64.0%	(.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
▶	62.7%	(.f64 x.re (.f64 x.re x.re))
	49.0%	(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
	51.2%	(.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re)))

Compiler

Compiled 797 to 338 computations (57.6% saved)

simplify498.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (*.f64 x.re x.re)))
✓	cost-diff	0	(+.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)))
✓	cost-diff	0	(.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)
✓	cost-diff	0	(/.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)))))
✓	cost-diff	0	(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))
✓	cost-diff	0	(-.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))))
✓	cost-diff	1024	(/.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)))
✓	cost-diff	1024	(.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))))
✓	cost-diff	0	(+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	256	(.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
✓	cost-diff	256	(.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (*.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 x.re x.re)
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	6272	(fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))
✓	cost-diff	6272	(.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)))

Rules

3840×	`-lowering-.f32`
3840×	`-lowering-.f64`
1840×	`fnmadd-define`
1560×	`fma-define`
1544×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	31	346
1	115	283
2	375	283
3	1103	283
4	2620	283
5	4458	269
0	8042	269

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 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)
x.im
-3
(* x.re x.re)
(* x.re (* x.re x.re))
x.re
(* x.re x.re)
(* x.re (* (* x.im x.im) (+ -3 (/ (* x.re x.re) (* x.im x.im)))))
x.re
(* (* x.im x.im) (+ -3 (/ (* x.re x.re) (* x.im x.im))))
(* x.im 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.re (/ (- (* (* x.im (* x.im (* x.im x.im))) 9) (* x.re (* x.re (* x.re x.re)))) (- (* (* x.im x.im) -3) (* x.re x.re))))
x.re
(/ (- (* (* x.im (* x.im (* x.im x.im))) 9) (* x.re (* x.re (* x.re x.re)))) (- (* (* x.im x.im) -3) (* x.re x.re)))
(- (* (* x.im (* x.im (* x.im x.im))) 9) (* 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 (* x.re x.re)))
(* x.re (* x.re x.re))
(* x.re x.re)
(- (* (* x.im x.im) -3) (* x.re x.re))
(* (* x.im x.im) -3)
-3
(/ (* (+ (* (* x.re (* x.re x.re)) (* x.re (* x.re x.re))) (* (* (* x.im x.im) (* x.im (* x.im (* x.im x.im)))) -27)) x.re) (+ (* x.re (* x.re (* x.re x.re))) (* (* (* x.im x.im) -3) (- (* (* x.im x.im) -3) (* x.re x.re)))))
(* (+ (* (* x.re (* x.re x.re)) (* x.re (* x.re x.re))) (* (* (* x.im x.im) (* x.im (* x.im (* x.im x.im)))) -27)) x.re)
(+ (* (* x.re (* x.re x.re)) (* x.re (* x.re x.re))) (* (* (* x.im x.im) (* x.im (* x.im (* x.im x.im)))) -27))
(* (* x.re (* x.re 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 (* x.im x.im)))) -27)
(* (* x.im x.im) (* x.im (* x.im (* x.im x.im))))
(* x.im x.im)
x.im
(* x.im (* x.im (* x.im x.im)))
(* x.im (* x.im x.im))
-27
(+ (* x.re (* x.re (* x.re x.re))) (* (* (* x.im x.im) -3) (- (* (* x.im x.im) -3) (* x.re x.re))))
(* x.re (* x.re (* x.re x.re)))
(* (* (* x.im x.im) -3) (- (* (* x.im x.im) -3) (* x.re x.re)))
(* (* x.im x.im) -3)
-3
(- (* (* x.im x.im) -3) (* x.re x.re))

Outputs
(* x.re (+ (* (* x.im x.im) -3) (* x.re x.re)))
(.f64 x.re (+.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (.f64 x.re x.re)))
x.re
(+ (* (* x.im x.im) -3) (* x.re x.re))
(+.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re))
(* x.im x.im)
(*.f64 x.im x.im)
x.im
-3
#s(literal -3 binary64)
(* x.re x.re)
(*.f64 x.re x.re)
(* 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 (* (* x.im x.im) (+ -3 (/ (* x.re x.re) (* x.im x.im)))))
(.f64 x.re (+.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (.f64 x.re x.re)))
x.re
(* (* x.im x.im) (+ -3 (/ (* x.re x.re) (* x.im x.im))))
(+.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re))
(* x.im x.im)
(*.f64 x.im x.im)
x.im
(+ -3 (/ (* x.re x.re) (* x.im x.im)))
(+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im))
-3
#s(literal -3 binary64)
(/ (* x.re x.re) (* x.im x.im))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(* x.re x.re)
(*.f64 x.re x.re)
(* x.re (/ (- (* (* x.im (* x.im (* x.im x.im))) 9) (* x.re (* x.re (* x.re x.re)))) (- (* (* x.im x.im) -3) (* x.re x.re))))
(.f64 x.re (.f64 (+.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re)) #s(literal 1 binary64)))
x.re
(/ (- (* (* x.im (* x.im (* x.im x.im))) 9) (* x.re (* x.re (* x.re x.re)))) (- (* (* x.im x.im) -3) (* x.re x.re)))
(.f64 (+.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (.f64 x.re x.re)) #s(literal 1 binary64))
(- (* (* x.im (* x.im (* x.im x.im))) 9) (* x.re (* x.re (* x.re x.re))))
(-.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))))
(* (* x.im (* x.im (* x.im x.im))) 9)
(.f64 (.f64 x.im (.f64 x.im (.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 (* x.re x.re)))
(.f64 x.re (.f64 x.re (*.f64 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) -3) (* x.re x.re))
(-.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re))
(* (* x.im x.im) -3)
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
-3
#s(literal -3 binary64)
(/ (* (+ (* (* x.re (* x.re x.re)) (* x.re (* x.re x.re))) (* (* (* x.im x.im) (* x.im (* x.im (* x.im x.im)))) -27)) x.re) (+ (* x.re (* x.re (* x.re x.re))) (* (* (* x.im x.im) -3) (- (* (* x.im x.im) -3) (* x.re x.re)))))
(/.f64 (.f64 x.re (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re (.f64 x.re (.f64 x.re x.re))))) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 (.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 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.re (* x.re x.re))) (* (* (* x.im x.im) (* x.im (* x.im (* x.im x.im)))) -27)) x.re)
(.f64 x.re (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re (.f64 x.re (.f64 x.re x.re))))) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal -27 binary64))))))
(+ (* (* x.re (* x.re x.re)) (* x.re (* x.re x.re))) (* (* (* x.im x.im) (* x.im (* x.im (* x.im x.im)))) -27))
(+.f64 (.f64 x.re (.f64 x.re (.f64 x.re (.f64 x.re (.f64 x.re x.re))))) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 (.f64 x.im (*.f64 x.im x.im)) #s(literal -27 binary64)))))
(* (* x.re (* x.re x.re)) (* x.re (* x.re x.re)))
(.f64 x.re (.f64 x.re (.f64 x.re (.f64 x.re (*.f64 x.re x.re)))))
(* 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.im x.im) (* x.im (* x.im (* x.im x.im)))) -27)
(.f64 (.f64 x.im x.im) (.f64 x.im (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal -27 binary64))))
(* (* x.im x.im) (* x.im (* x.im (* x.im x.im))))
(.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (*.f64 x.im x.im)))))
(* x.im x.im)
(*.f64 x.im x.im)
x.im
(* 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))
(.f64 x.im (.f64 x.im x.im))
-27
#s(literal -27 binary64)
(+ (* x.re (* x.re (* x.re x.re))) (* (* (* x.im x.im) -3) (- (* (* x.im x.im) -3) (* x.re x.re))))
(+.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64)) (.f64 (.f64 x.re 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.re)))
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(* (* (* x.im x.im) -3) (- (* (* x.im x.im) -3) (* x.re x.re)))
(.f64 (.f64 x.im x.im) (+.f64 (.f64 (.f64 x.im x.im) #s(literal 9 binary64)) (.f64 (.f64 x.re x.re) #s(literal 3 binary64))))
(* (* x.im x.im) -3)
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
-3
#s(literal -3 binary64)
(- (* (* x.im x.im) -3) (* x.re x.re))
(-.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re))

localize540.0ms (2.6%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.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)
✓	accuracy	86.4%	(.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)))
✓	accuracy	82.4%	(+.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)))
✓	accuracy	25.5%	(/.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)))))
✓	accuracy	99.7%	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
✓	accuracy	97.6%	(.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))))
✓	accuracy	85.3%	(-.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))))
✓	accuracy	39.7%	(/.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)))
✓	accuracy	100.0%	(+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	accuracy	97.6%	(.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
✓	accuracy	77.7%	(.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
✓	accuracy	73.9%	(/.f64 (.f64 x.re x.re) (.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 x.re x.re)
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	97.6%	(.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)))
✓	accuracy	93.9%	(fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))

Results

326.0ms

256×

valid

Compiler

Compiled 446 to 32 computations (92.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-mult: 84.0ms (44.3% of total)

ival-add: 77.0ms (40.6% of total)

ival-div: 13.0ms (6.8% of total)

compiled-spec: 9.0ms (4.7% of total)

ival-sub: 6.0ms (3.2% of total)

const: 1.0ms (0.5% of total)

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

series144.0ms (0.7%)

Counts

19 → 384

Calls

Call 1

Inputs
#<alt (* x.re (+ (* (* x.im x.im) -3) (* x.re x.re)))>
#<alt (+ (* (* x.im x.im) -3) (* x.re x.re))>
#<alt (* x.im x.im)>
#<alt (* x.re x.re)>
#<alt (* x.re (* x.re x.re))>
#<alt (* x.re (* (* x.im x.im) (+ -3 (/ (* x.re x.re) (* x.im x.im)))))>
#<alt (* (* x.im x.im) (+ -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.im x.im))) 9) (* x.re (* x.re (* x.re x.re)))) (- (* (* x.im x.im) -3) (* x.re x.re))))>
#<alt (/ (- (* (* x.im (* x.im (* x.im x.im))) 9) (* x.re (* x.re (* x.re x.re)))) (- (* (* x.im x.im) -3) (* x.re x.re)))>
#<alt (- (* (* x.im (* x.im (* x.im x.im))) 9) (* x.re (* x.re (* x.re x.re))))>
#<alt (* (* x.im (* x.im (* x.im x.im))) 9)>
#<alt (/ (* (+ (* (* x.re (* x.re x.re)) (* x.re (* x.re x.re))) (* (* (* x.im x.im) (* x.im (* x.im (* x.im x.im)))) -27)) x.re) (+ (* x.re (* x.re (* x.re x.re))) (* (* (* x.im x.im) -3) (- (* (* x.im x.im) -3) (* x.re x.re)))))>
#<alt (* (+ (* (* x.re (* x.re x.re)) (* x.re (* x.re x.re))) (* (* (* x.im x.im) (* x.im (* x.im (* x.im x.im)))) -27)) x.re)>
#<alt (+ (* (* x.re (* x.re x.re)) (* x.re (* x.re x.re))) (* (* (* x.im x.im) (* x.im (* x.im (* x.im x.im)))) -27))>
#<alt (* (* x.re (* x.re x.re)) (* x.re (* x.re x.re)))>
#<alt (/ (* x.re x.re) (* x.im x.im))>
#<alt (* (* x.im x.im) -3)>
#<alt (* (* (* x.im x.im) -3) (- (* (* x.im x.im) -3) (* x.re x.re)))>

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 (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 (* -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.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.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 (* -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 (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 (* -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 -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 (* -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 (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 (* -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 (* -1 (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) (+ 9 (* -1 (/ (pow x.re 4) (pow x.im 4)))))>
#<alt (* (pow x.im 4) (+ 9 (* -1 (/ (pow x.re 4) (pow x.im 4)))))>
#<alt (* (pow x.im 4) (+ 9 (* -1 (/ (pow x.re 4) (pow x.im 4)))))>
#<alt (* 9 (pow x.im 4))>
#<alt (* (pow x.im 4) (+ 9 (* -1 (/ (pow x.re 4) (pow x.im 4)))))>
#<alt (* (pow x.im 4) (+ 9 (* -1 (/ (pow x.re 4) (pow x.im 4)))))>
#<alt (* (pow x.im 4) (+ 9 (* -1 (/ (pow x.re 4) (pow x.im 4)))))>
#<alt (* 9 (pow x.im 4))>
#<alt (+ (* -1 (pow x.re 4)) (* 9 (pow x.im 4)))>
#<alt (+ (* -1 (pow x.re 4)) (* 9 (pow x.im 4)))>
#<alt (+ (* -1 (pow x.re 4)) (* 9 (pow x.im 4)))>
#<alt (* -1 (pow x.re 4))>
#<alt (* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))>
#<alt (* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))>
#<alt (* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))>
#<alt (* -1 (pow x.re 4))>
#<alt (* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))>
#<alt (* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))>
#<alt (* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))>
#<alt (* 9 (pow x.im 4))>
#<alt (* 9 (pow x.im 4))>
#<alt (* 9 (pow x.im 4))>
#<alt (* 9 (pow x.im 4))>
#<alt (* 9 (pow x.im 4))>
#<alt (* 9 (pow x.im 4))>
#<alt (* 9 (pow x.im 4))>
#<alt (* 9 (pow x.im 4))>
#<alt (* 9 (pow x.im 4))>
#<alt (* 9 (pow x.im 4))>
#<alt (* 9 (pow x.im 4))>
#<alt (* 9 (pow x.im 4))>
#<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 (* -1 (/ (+ (* -9 (pow x.im 4)) (* 9 (pow x.im 4))) (pow x.re 4)))) (* 3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (- (+ 1 (* 3 (/ (* (pow x.im 2) (+ (* -9 (pow x.im 4)) (* 9 (pow x.im 4)))) (pow x.re 6)))) (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (+ (* 3 (/ (pow x.im 2) (pow x.re 2))) (* 9 (/ (pow x.im 4) (pow x.re 4)))))))>
#<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) (- (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (+ (* 3 (/ (pow x.im 2) (pow x.re 2))) (* 9 (/ (pow x.im 4) (pow x.re 4))))) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (+ (* -3 (/ (* (pow x.im 2) (+ (* -9 (pow x.im 4)) (* 9 (pow x.im 4)))) (pow x.re 6))) (+ (* 3 (/ (pow x.im 2) (pow x.re 2))) (* 9 (/ (pow x.im 4) (pow x.re 4)))))) 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) (* -1 (/ (+ (* -1/3 (pow x.re 5)) (* 1/3 (pow x.re 5))) (pow x.im 4)))) (* -1 (/ (pow x.re 3) (pow x.im 2)))))>
#<alt (* (pow x.im 2) (- (+ (* -3 x.re) (* 1/3 (/ (* (pow x.re 2) (+ (* -1/3 (pow x.re 5)) (* 1/3 (pow x.re 5)))) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (* 1/3 (/ (pow x.re 5) (pow x.im 4)))))))>
#<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) (* -1 (/ (+ (* -1/3 (pow x.re 5)) (* 1/3 (pow x.re 5))) (pow x.im 4)))) (* -1 (/ (pow x.re 3) (pow x.im 2)))))>
#<alt (* (pow x.im 2) (- (+ (* -3 x.re) (* 1/3 (/ (* (pow x.re 2) (+ (* -1/3 (pow x.re 5)) (* 1/3 (pow x.re 5)))) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (* 1/3 (/ (pow x.re 5) (pow x.im 4)))))))>
#<alt (* -27 (* (pow x.im 6) x.re))>
#<alt (* x.re (+ (* -27 (pow x.im 6)) (pow x.re 6)))>
#<alt (* x.re (+ (* -27 (pow x.im 6)) (pow x.re 6)))>
#<alt (* x.re (+ (* -27 (pow x.im 6)) (pow x.re 6)))>
#<alt (pow x.re 7)>
#<alt (* (pow x.re 7) (+ 1 (* -27 (/ (pow x.im 6) (pow x.re 6)))))>
#<alt (* (pow x.re 7) (+ 1 (* -27 (/ (pow x.im 6) (pow x.re 6)))))>
#<alt (* (pow x.re 7) (+ 1 (* -27 (/ (pow x.im 6) (pow x.re 6)))))>
#<alt (pow x.re 7)>
#<alt (* -1 (* (pow x.re 7) (- (* 27 (/ (pow x.im 6) (pow x.re 6))) 1)))>
#<alt (* -1 (* (pow x.re 7) (- (* 27 (/ (pow x.im 6) (pow x.re 6))) 1)))>
#<alt (* -1 (* (pow x.re 7) (- (* 27 (/ (pow x.im 6) (pow x.re 6))) 1)))>
#<alt (pow x.re 7)>
#<alt (+ (* -27 (* (pow x.im 6) x.re)) (pow x.re 7))>
#<alt (+ (* -27 (* (pow x.im 6) x.re)) (pow x.re 7))>
#<alt (+ (* -27 (* (pow x.im 6) x.re)) (pow x.re 7))>
#<alt (* -27 (* (pow x.im 6) x.re))>
#<alt (* (pow x.im 6) (+ (* -27 x.re) (/ (pow x.re 7) (pow x.im 6))))>
#<alt (* (pow x.im 6) (+ (* -27 x.re) (/ (pow x.re 7) (pow x.im 6))))>
#<alt (* (pow x.im 6) (+ (* -27 x.re) (/ (pow x.re 7) (pow x.im 6))))>
#<alt (* -27 (* (pow x.im 6) x.re))>
#<alt (* (pow x.im 6) (+ (* -27 x.re) (/ (pow x.re 7) (pow x.im 6))))>
#<alt (* (pow x.im 6) (+ (* -27 x.re) (/ (pow x.re 7) (pow x.im 6))))>
#<alt (* (pow x.im 6) (+ (* -27 x.re) (/ (pow x.re 7) (pow x.im 6))))>
#<alt (* -27 (pow x.im 6))>
#<alt (+ (* -27 (pow x.im 6)) (pow x.re 6))>
#<alt (+ (* -27 (pow x.im 6)) (pow x.re 6))>
#<alt (+ (* -27 (pow x.im 6)) (pow x.re 6))>
#<alt (pow x.re 6)>
#<alt (* (pow x.re 6) (+ 1 (* -27 (/ (pow x.im 6) (pow x.re 6)))))>
#<alt (* (pow x.re 6) (+ 1 (* -27 (/ (pow x.im 6) (pow x.re 6)))))>
#<alt (* (pow x.re 6) (+ 1 (* -27 (/ (pow x.im 6) (pow x.re 6)))))>
#<alt (pow x.re 6)>
#<alt (* (pow x.re 6) (+ 1 (* -27 (/ (pow x.im 6) (pow x.re 6)))))>
#<alt (* (pow x.re 6) (+ 1 (* -27 (/ (pow x.im 6) (pow x.re 6)))))>
#<alt (* (pow x.re 6) (+ 1 (* -27 (/ (pow x.im 6) (pow x.re 6)))))>
#<alt (pow x.re 6)>
#<alt (+ (* -27 (pow x.im 6)) (pow x.re 6))>
#<alt (+ (* -27 (pow x.im 6)) (pow x.re 6))>
#<alt (+ (* -27 (pow x.im 6)) (pow x.re 6))>
#<alt (* -27 (pow x.im 6))>
#<alt (* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 27))>
#<alt (* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 27))>
#<alt (* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 27))>
#<alt (* -27 (pow x.im 6))>
#<alt (* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 27))>
#<alt (* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 27))>
#<alt (* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 27))>
#<alt (pow x.re 6)>
#<alt (pow x.re 6)>
#<alt (pow x.re 6)>
#<alt (pow x.re 6)>
#<alt (pow x.re 6)>
#<alt (pow x.re 6)>
#<alt (pow x.re 6)>
#<alt (pow x.re 6)>
#<alt (pow x.re 6)>
#<alt (pow x.re 6)>
#<alt (pow x.re 6)>
#<alt (pow x.re 6)>
#<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 (* -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 (* 3 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* (pow x.im 2) (+ (* 3 (pow x.re 2)) (* 9 (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* 3 (pow x.re 2)) (* 9 (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* 3 (pow x.re 2)) (* 9 (pow x.im 2))))>
#<alt (* 9 (pow x.im 4))>
#<alt (* (pow x.im 4) (+ 9 (* 3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 4) (+ 9 (* 3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 4) (+ 9 (* 3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* 9 (pow x.im 4))>
#<alt (* (pow x.im 4) (+ 9 (* 3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 4) (+ 9 (* 3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 4) (+ 9 (* 3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* 9 (pow x.im 4))>
#<alt (+ (* 3 (* (pow x.im 2) (pow x.re 2))) (* 9 (pow x.im 4)))>
#<alt (+ (* 3 (* (pow x.im 2) (pow x.re 2))) (* 9 (pow x.im 4)))>
#<alt (+ (* 3 (* (pow x.im 2) (pow x.re 2))) (* 9 (pow x.im 4)))>
#<alt (* 3 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* 3 (pow x.im 2)) (* 9 (/ (pow x.im 4) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ (* 3 (pow x.im 2)) (* 9 (/ (pow x.im 4) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ (* 3 (pow x.im 2)) (* 9 (/ (pow x.im 4) (pow x.re 2)))))>
#<alt (* 3 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* 3 (pow x.im 2)) (* 9 (/ (pow x.im 4) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ (* 3 (pow x.im 2)) (* 9 (/ (pow x.im 4) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ (* 3 (pow x.im 2)) (* 9 (/ (pow x.im 4) (pow x.re 2)))))>

Calls

96 calls:

Time	Variable		Point	Expression
14.0ms	x.re	@	0	(* x.re (* (* x.im x.im) (+ -3 (/ (* x.re x.re) (* x.im x.im)))))
10.0ms	x.im	@	0	(* x.re (/ (- (* (* x.im (* x.im (* x.im x.im))) 9) (* x.re (* x.re (* x.re x.re)))) (- (* (* x.im x.im) -3) (* x.re x.re))))
8.0ms	x.re	@	inf	(* x.re (* (* x.im x.im) (+ -3 (/ (* x.re x.re) (* x.im x.im)))))
5.0ms	x.re	@	0	(/ (* (+ (* (* x.re (* x.re x.re)) (* x.re (* x.re x.re))) (* (* (* x.im x.im) (* x.im (* x.im (* x.im x.im)))) -27)) x.re) (+ (* x.re (* x.re (* x.re x.re))) (* (* (* x.im x.im) -3) (- (* (* x.im x.im) -3) (* x.re x.re)))))
4.0ms	x.im	@	0	(/ (* (+ (* (* x.re (* x.re x.re)) (* x.re (* x.re x.re))) (* (* (* x.im x.im) (* x.im (* x.im (* x.im x.im)))) -27)) x.re) (+ (* x.re (* x.re (* x.re x.re))) (* (* (* x.im x.im) -3) (- (* (* x.im x.im) -3) (* x.re x.re)))))

rewrite1.0s (5%)

Algorithm

1×	batch-egg-rewrite

Rules

4334×	`-lowering-.f32`
4334×	`-lowering-.f64`
4256×	`/-lowering-/.f32`
4256×	`/-lowering-/.f64`
2350×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	201
1	214	162
2	2046	160
0	9545	160

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 844

Calls

Call 1

Inputs
(* 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.re (* x.re x.re))
(* x.re (* (* x.im x.im) (+ -3 (/ (* x.re x.re) (* x.im x.im)))))
(* (* 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.im (* x.im (* x.im x.im))) 9) (* x.re (* x.re (* x.re x.re)))) (- (* (* x.im x.im) -3) (* x.re x.re))))
(/ (- (* (* x.im (* x.im (* x.im x.im))) 9) (* x.re (* x.re (* x.re x.re)))) (- (* (* x.im x.im) -3) (* x.re x.re)))
(- (* (* x.im (* x.im (* x.im x.im))) 9) (* 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.im x.im) (* x.im (* x.im (* x.im x.im)))) -27)) x.re) (+ (* x.re (* x.re (* x.re x.re))) (* (* (* x.im x.im) -3) (- (* (* x.im x.im) -3) (* x.re x.re)))))
(* (+ (* (* x.re (* x.re x.re)) (* x.re (* x.re x.re))) (* (* (* x.im x.im) (* x.im (* x.im (* x.im x.im)))) -27)) x.re)
(+ (* (* x.re (* x.re x.re)) (* x.re (* x.re x.re))) (* (* (* x.im x.im) (* x.im (* x.im (* x.im x.im)))) -27))
(* (* x.re (* x.re x.re)) (* x.re (* x.re x.re)))
(/ (* x.re x.re) (* x.im x.im))
(* (* x.im x.im) -3)
(* (* (* x.im x.im) -3) (- (* (* x.im x.im) -3) (* x.re x.re)))

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

simplify534.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

2106×	`-lowering-.f32`
2106×	`-lowering-.f64`
1768×	`sum4-define`
1726×	`fnmadd-define`
1706×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	3606
1	458	3528
2	1659	3444
3	5705	3441
0	8386	3441

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

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))))
(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))
(* -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.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.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)
(* -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))))
(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))
(* -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)))))
-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)
(* -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))))
(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))
(* -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)))))
(* -1 (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) (+ 9 (* -1 (/ (pow x.re 4) (pow x.im 4)))))
(* (pow x.im 4) (+ 9 (* -1 (/ (pow x.re 4) (pow x.im 4)))))
(* (pow x.im 4) (+ 9 (* -1 (/ (pow x.re 4) (pow x.im 4)))))
(* 9 (pow x.im 4))
(* (pow x.im 4) (+ 9 (* -1 (/ (pow x.re 4) (pow x.im 4)))))
(* (pow x.im 4) (+ 9 (* -1 (/ (pow x.re 4) (pow x.im 4)))))
(* (pow x.im 4) (+ 9 (* -1 (/ (pow x.re 4) (pow x.im 4)))))
(* 9 (pow x.im 4))
(+ (* -1 (pow x.re 4)) (* 9 (pow x.im 4)))
(+ (* -1 (pow x.re 4)) (* 9 (pow x.im 4)))
(+ (* -1 (pow x.re 4)) (* 9 (pow x.im 4)))
(* -1 (pow x.re 4))
(* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))
(* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))
(* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))
(* -1 (pow x.re 4))
(* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))
(* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))
(* (pow x.re 4) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* -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 (* -1 (/ (+ (* -9 (pow x.im 4)) (* 9 (pow x.im 4))) (pow x.re 4)))) (* 3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (* 3 (/ (* (pow x.im 2) (+ (* -9 (pow x.im 4)) (* 9 (pow x.im 4)))) (pow x.re 6)))) (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (+ (* 3 (/ (pow x.im 2) (pow x.re 2))) (* 9 (/ (pow x.im 4) (pow x.re 4)))))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (+ (* 3 (/ (pow x.im 2) (pow x.re 2))) (* 9 (/ (pow x.im 4) (pow x.re 4))))) 1)))
(* -1 (* (pow x.re 3) (- (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (+ (* -3 (/ (* (pow x.im 2) (+ (* -9 (pow x.im 4)) (* 9 (pow x.im 4)))) (pow x.re 6))) (+ (* 3 (/ (pow x.im 2) (pow x.re 2))) (* 9 (/ (pow x.im 4) (pow x.re 4)))))) 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) (* -1 (/ (+ (* -1/3 (pow x.re 5)) (* 1/3 (pow x.re 5))) (pow x.im 4)))) (* -1 (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (- (+ (* -3 x.re) (* 1/3 (/ (* (pow x.re 2) (+ (* -1/3 (pow x.re 5)) (* 1/3 (pow x.re 5)))) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (* 1/3 (/ (pow x.re 5) (pow x.im 4)))))))
(* -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) (* -1 (/ (+ (* -1/3 (pow x.re 5)) (* 1/3 (pow x.re 5))) (pow x.im 4)))) (* -1 (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (- (+ (* -3 x.re) (* 1/3 (/ (* (pow x.re 2) (+ (* -1/3 (pow x.re 5)) (* 1/3 (pow x.re 5)))) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (* 1/3 (/ (pow x.re 5) (pow x.im 4)))))))
(* -27 (* (pow x.im 6) x.re))
(* x.re (+ (* -27 (pow x.im 6)) (pow x.re 6)))
(* x.re (+ (* -27 (pow x.im 6)) (pow x.re 6)))
(* x.re (+ (* -27 (pow x.im 6)) (pow x.re 6)))
(pow x.re 7)
(* (pow x.re 7) (+ 1 (* -27 (/ (pow x.im 6) (pow x.re 6)))))
(* (pow x.re 7) (+ 1 (* -27 (/ (pow x.im 6) (pow x.re 6)))))
(* (pow x.re 7) (+ 1 (* -27 (/ (pow x.im 6) (pow x.re 6)))))
(pow x.re 7)
(* -1 (* (pow x.re 7) (- (* 27 (/ (pow x.im 6) (pow x.re 6))) 1)))
(* -1 (* (pow x.re 7) (- (* 27 (/ (pow x.im 6) (pow x.re 6))) 1)))
(* -1 (* (pow x.re 7) (- (* 27 (/ (pow x.im 6) (pow x.re 6))) 1)))
(pow x.re 7)
(+ (* -27 (* (pow x.im 6) x.re)) (pow x.re 7))
(+ (* -27 (* (pow x.im 6) x.re)) (pow x.re 7))
(+ (* -27 (* (pow x.im 6) x.re)) (pow x.re 7))
(* -27 (* (pow x.im 6) x.re))
(* (pow x.im 6) (+ (* -27 x.re) (/ (pow x.re 7) (pow x.im 6))))
(* (pow x.im 6) (+ (* -27 x.re) (/ (pow x.re 7) (pow x.im 6))))
(* (pow x.im 6) (+ (* -27 x.re) (/ (pow x.re 7) (pow x.im 6))))
(* -27 (* (pow x.im 6) x.re))
(* (pow x.im 6) (+ (* -27 x.re) (/ (pow x.re 7) (pow x.im 6))))
(* (pow x.im 6) (+ (* -27 x.re) (/ (pow x.re 7) (pow x.im 6))))
(* (pow x.im 6) (+ (* -27 x.re) (/ (pow x.re 7) (pow x.im 6))))
(* -27 (pow x.im 6))
(+ (* -27 (pow x.im 6)) (pow x.re 6))
(+ (* -27 (pow x.im 6)) (pow x.re 6))
(+ (* -27 (pow x.im 6)) (pow x.re 6))
(pow x.re 6)
(* (pow x.re 6) (+ 1 (* -27 (/ (pow x.im 6) (pow x.re 6)))))
(* (pow x.re 6) (+ 1 (* -27 (/ (pow x.im 6) (pow x.re 6)))))
(* (pow x.re 6) (+ 1 (* -27 (/ (pow x.im 6) (pow x.re 6)))))
(pow x.re 6)
(* (pow x.re 6) (+ 1 (* -27 (/ (pow x.im 6) (pow x.re 6)))))
(* (pow x.re 6) (+ 1 (* -27 (/ (pow x.im 6) (pow x.re 6)))))
(* (pow x.re 6) (+ 1 (* -27 (/ (pow x.im 6) (pow x.re 6)))))
(pow x.re 6)
(+ (* -27 (pow x.im 6)) (pow x.re 6))
(+ (* -27 (pow x.im 6)) (pow x.re 6))
(+ (* -27 (pow x.im 6)) (pow x.re 6))
(* -27 (pow x.im 6))
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 27))
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 27))
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 27))
(* -27 (pow x.im 6))
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 27))
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 27))
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 27))
(pow x.re 6)
(pow x.re 6)
(pow x.re 6)
(pow x.re 6)
(pow x.re 6)
(pow x.re 6)
(pow x.re 6)
(pow x.re 6)
(pow x.re 6)
(pow x.re 6)
(pow x.re 6)
(pow x.re 6)
(/ (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))
(* -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))
(* 3 (* (pow x.im 2) (pow x.re 2)))
(* (pow x.im 2) (+ (* 3 (pow x.re 2)) (* 9 (pow x.im 2))))
(* (pow x.im 2) (+ (* 3 (pow x.re 2)) (* 9 (pow x.im 2))))
(* (pow x.im 2) (+ (* 3 (pow x.re 2)) (* 9 (pow x.im 2))))
(* 9 (pow x.im 4))
(* (pow x.im 4) (+ 9 (* 3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 4) (+ 9 (* 3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 4) (+ 9 (* 3 (/ (pow x.re 2) (pow x.im 2)))))
(* 9 (pow x.im 4))
(* (pow x.im 4) (+ 9 (* 3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 4) (+ 9 (* 3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 4) (+ 9 (* 3 (/ (pow x.re 2) (pow x.im 2)))))
(* 9 (pow x.im 4))
(+ (* 3 (* (pow x.im 2) (pow x.re 2))) (* 9 (pow x.im 4)))
(+ (* 3 (* (pow x.im 2) (pow x.re 2))) (* 9 (pow x.im 4)))
(+ (* 3 (* (pow x.im 2) (pow x.re 2))) (* 9 (pow x.im 4)))
(* 3 (* (pow x.im 2) (pow x.re 2)))
(* (pow x.re 2) (+ (* 3 (pow x.im 2)) (* 9 (/ (pow x.im 4) (pow x.re 2)))))
(* (pow x.re 2) (+ (* 3 (pow x.im 2)) (* 9 (/ (pow x.im 4) (pow x.re 2)))))
(* (pow x.re 2) (+ (* 3 (pow x.im 2)) (* 9 (/ (pow x.im 4) (pow x.re 2)))))
(* 3 (* (pow x.im 2) (pow x.re 2)))
(* (pow x.re 2) (+ (* 3 (pow x.im 2)) (* 9 (/ (pow x.im 4) (pow x.re 2)))))
(* (pow x.re 2) (+ (* 3 (pow x.im 2)) (* 9 (/ (pow x.im 4) (pow x.re 2)))))
(* (pow x.re 2) (+ (* 3 (pow x.im 2)) (* 9 (/ (pow x.im 4) (pow x.re 2)))))

Outputs
(* -3 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* 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 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.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 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.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 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.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 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.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 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.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 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (/.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 x.re (.f64 #s(literal -3 binary64) (*.f64 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 x.re x.re) (*.f64 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 x.re x.re) (*.f64 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 x.re x.re) (*.f64 x.im x.im)))))
(* -3 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 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 x.re x.re) (*.f64 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 x.re x.re) (*.f64 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 x.re x.re) (*.f64 x.im x.im)))))
(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))))
(* (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))
(+ (* -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 x.re x.re) (+.f64 #s(literal 1 binary64) (/.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 x.re x.re) (+.f64 #s(literal 1 binary64) (/.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 x.re x.re) (+.f64 #s(literal 1 binary64) (/.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 x.re x.re) (+.f64 #s(literal 1 binary64) (/.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 x.re x.re) (+.f64 #s(literal 1 binary64) (/.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 x.re x.re) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))))
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 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)
(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))
(* -3 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* 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)))
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(.f64 (pow.f64 x.re #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal -27 binary64)) (pow.f64 x.re #s(literal 6 binary64)))))
(* (pow x.re 6) (+ 1 (* -27 (/ (pow x.im 6) (pow x.re 6)))))
(.f64 (pow.f64 x.re #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal -27 binary64)) (pow.f64 x.re #s(literal 6 binary64)))))
(pow x.re 6)
(pow.f64 x.re #s(literal 6 binary64))
(+ (* -27 (pow x.im 6)) (pow x.re 6))
(+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal -27 binary64)))
(+ (* -27 (pow x.im 6)) (pow x.re 6))
(+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal -27 binary64)))
(+ (* -27 (pow x.im 6)) (pow x.re 6))
(+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal -27 binary64)))
(* -27 (pow x.im 6))
(*.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal -27 binary64))
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 27))
(*.f64 (pow.f64 x.im #s(literal 6 binary64)) (+.f64 #s(literal -27 binary64) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))))
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 27))
(*.f64 (pow.f64 x.im #s(literal 6 binary64)) (+.f64 #s(literal -27 binary64) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))))
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 27))
(*.f64 (pow.f64 x.im #s(literal 6 binary64)) (+.f64 #s(literal -27 binary64) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))))
(* -27 (pow x.im 6))
(*.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal -27 binary64))
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 27))
(*.f64 (pow.f64 x.im #s(literal 6 binary64)) (+.f64 #s(literal -27 binary64) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))))
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 27))
(*.f64 (pow.f64 x.im #s(literal 6 binary64)) (+.f64 #s(literal -27 binary64) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))))
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 27))
(*.f64 (pow.f64 x.im #s(literal 6 binary64)) (+.f64 #s(literal -27 binary64) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))))
(pow x.re 6)
(pow.f64 x.re #s(literal 6 binary64))
(pow x.re 6)
(pow.f64 x.re #s(literal 6 binary64))
(pow x.re 6)
(pow.f64 x.re #s(literal 6 binary64))
(pow x.re 6)
(pow.f64 x.re #s(literal 6 binary64))
(pow x.re 6)
(pow.f64 x.re #s(literal 6 binary64))
(pow x.re 6)
(pow.f64 x.re #s(literal 6 binary64))
(pow x.re 6)
(pow.f64 x.re #s(literal 6 binary64))
(pow x.re 6)
(pow.f64 x.re #s(literal 6 binary64))
(pow x.re 6)
(pow.f64 x.re #s(literal 6 binary64))
(pow x.re 6)
(pow.f64 x.re #s(literal 6 binary64))
(pow x.re 6)
(pow.f64 x.re #s(literal 6 binary64))
(pow x.re 6)
(pow.f64 x.re #s(literal 6 binary64))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.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))
(* -3 (pow x.im 2))
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
(* -3 (pow x.im 2))
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
(* -3 (pow x.im 2))
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
(* -3 (pow x.im 2))
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
(* -3 (pow x.im 2))
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
(* -3 (pow x.im 2))
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
(* -3 (pow x.im 2))
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
(* -3 (pow x.im 2))
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
(* -3 (pow x.im 2))
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
(* -3 (pow x.im 2))
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
(* -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 x.im x.im) (.f64 x.re (.f64 x.re #s(literal 3 binary64))))
(* (pow x.im 2) (+ (* 3 (pow x.re 2)) (* 9 (pow x.im 2))))
(.f64 (.f64 x.im x.im) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))))
(* (pow x.im 2) (+ (* 3 (pow x.re 2)) (* 9 (pow x.im 2))))
(.f64 (.f64 x.im x.im) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))))
(* (pow x.im 2) (+ (* 3 (pow x.re 2)) (* 9 (pow x.im 2))))
(.f64 (.f64 x.im x.im) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))))
(* 9 (pow x.im 4))
(.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64)))
(* (pow x.im 4) (+ 9 (* 3 (/ (pow x.re 2) (pow x.im 2)))))
(.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (+.f64 #s(literal 9 binary64) (/.f64 (.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 3 binary64)) x.im)))
(* (pow x.im 4) (+ 9 (* 3 (/ (pow x.re 2) (pow x.im 2)))))
(.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (+.f64 #s(literal 9 binary64) (/.f64 (.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 3 binary64)) x.im)))
(* (pow x.im 4) (+ 9 (* 3 (/ (pow x.re 2) (pow x.im 2)))))
(.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (+.f64 #s(literal 9 binary64) (/.f64 (.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 3 binary64)) x.im)))
(* 9 (pow x.im 4))
(.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64)))
(* (pow x.im 4) (+ 9 (* 3 (/ (pow x.re 2) (pow x.im 2)))))
(.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (+.f64 #s(literal 9 binary64) (/.f64 (.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 3 binary64)) x.im)))
(* (pow x.im 4) (+ 9 (* 3 (/ (pow x.re 2) (pow x.im 2)))))
(.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (+.f64 #s(literal 9 binary64) (/.f64 (.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 3 binary64)) x.im)))
(* (pow x.im 4) (+ 9 (* 3 (/ (pow x.re 2) (pow x.im 2)))))
(.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (+.f64 #s(literal 9 binary64) (/.f64 (.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 3 binary64)) x.im)))
(* 9 (pow x.im 4))
(.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64)))
(+ (* 3 (* (pow x.im 2) (pow x.re 2))) (* 9 (pow x.im 4)))
(.f64 (.f64 x.im x.im) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))))
(+ (* 3 (* (pow x.im 2) (pow x.re 2))) (* 9 (pow x.im 4)))
(.f64 (.f64 x.im x.im) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))))
(+ (* 3 (* (pow x.im 2) (pow x.re 2))) (* 9 (pow x.im 4)))
(.f64 (.f64 x.im x.im) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))))
(* 3 (* (pow x.im 2) (pow x.re 2)))
(.f64 (.f64 x.im x.im) (.f64 x.re (.f64 x.re #s(literal 3 binary64))))
(* (pow x.re 2) (+ (* 3 (pow x.im 2)) (* 9 (/ (pow x.im 4) (pow x.re 2)))))
(.f64 (.f64 x.re x.re) (+.f64 (.f64 (.f64 x.im x.im) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (*.f64 x.re x.re))))
(* (pow x.re 2) (+ (* 3 (pow x.im 2)) (* 9 (/ (pow x.im 4) (pow x.re 2)))))
(.f64 (.f64 x.re x.re) (+.f64 (.f64 (.f64 x.im x.im) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (*.f64 x.re x.re))))
(* (pow x.re 2) (+ (* 3 (pow x.im 2)) (* 9 (/ (pow x.im 4) (pow x.re 2)))))
(.f64 (.f64 x.re x.re) (+.f64 (.f64 (.f64 x.im x.im) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (*.f64 x.re x.re))))
(* 3 (* (pow x.im 2) (pow x.re 2)))
(.f64 (.f64 x.im x.im) (.f64 x.re (.f64 x.re #s(literal 3 binary64))))
(* (pow x.re 2) (+ (* 3 (pow x.im 2)) (* 9 (/ (pow x.im 4) (pow x.re 2)))))
(.f64 (.f64 x.re x.re) (+.f64 (.f64 (.f64 x.im x.im) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (*.f64 x.re x.re))))
(* (pow x.re 2) (+ (* 3 (pow x.im 2)) (* 9 (/ (pow x.im 4) (pow x.re 2)))))
(.f64 (.f64 x.re x.re) (+.f64 (.f64 (.f64 x.im x.im) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (*.f64 x.re x.re))))
(* (pow x.re 2) (+ (* 3 (pow x.im 2)) (* 9 (/ (pow x.im 4) (pow x.re 2)))))
(.f64 (.f64 x.re x.re) (+.f64 (.f64 (.f64 x.im x.im) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (*.f64 x.re x.re))))

eval584.0ms (2.8%)

Compiler: Compiled 70307 to 2812 computations (96% saved)

prune314.0ms (1.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	1636	8	1644
Fresh	6	2	8
Picked	4	1	5
Done	0	1	1
Total	1646	12	1658

Accuracy

100.0%

Counts

1658 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.8%	(pow.f64 x.re #s(literal 3 binary64))
▶	38.2%	(/.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))))
▶	90.9%	(/.f64 x.re (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))
	42.1%	(.f64 (-.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.re x.re))) x.re))
▶	67.4%	(.f64 (+.f64 #s(literal -3 binary64) (.f64 x.re (/.f64 x.re (.f64 x.im x.im)))) (.f64 x.re (*.f64 x.im x.im)))
	80.5%	(.f64 (.f64 x.re x.im) (.f64 x.im (+.f64 #s(literal -3 binary64) (.f64 x.re (/.f64 x.re (*.f64 x.im x.im))))))
	24.4%	(.f64 x.re (/.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.re x.re))))
✓	91.0%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))
▶	76.5%	(.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 (/.f64 x.re x.im) x.re) x.im))))
	49.0%	(.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
✓	62.7%	(.f64 x.re (.f64 x.re x.re))
▶	51.2%	(.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re)))

Compiler

Compiled 372 to 212 computations (43% saved)

simplify414.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 19 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 (*.f64 x.im x.im))
✓	cost-diff	0	(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
✓	cost-diff	0	(+.f64 #s(literal -3 binary64) (.f64 x.re (/.f64 x.re (.f64 x.im x.im))))
✓	cost-diff	256	(.f64 (+.f64 #s(literal -3 binary64) (.f64 x.re (/.f64 x.re (.f64 x.im x.im)))) (.f64 x.re (*.f64 x.im x.im)))
✓	cost-diff	0	(+.f64 #s(literal -3 binary64) (/.f64 (*.f64 (/.f64 x.re x.im) x.re) x.im))
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	256	(.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (*.f64 (/.f64 x.re x.im) x.re) x.im)))
✓	cost-diff	256	(.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 (/.f64 x.re x.im) x.re) x.im))))
✓	cost-diff	0	(*.f64 x.im x.re)
✓	cost-diff	0	(.f64 x.im (.f64 x.im x.re))
✓	cost-diff	0	(.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re)))
✓	cost-diff	0	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
✓	cost-diff	0	(+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
✓	cost-diff	128	(/.f64 x.re (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))

Rules

2944×	`-lowering-.f32`
2944×	`-lowering-.f64`
1436×	`/-lowering-/.f32`
1436×	`/-lowering-/.f64`
1018×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	248
1	101	228
2	277	225
3	720	225
4	1513	225
5	3242	225
6	5200	225
0	8111	225

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize426.0ms (2%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 x.im x.im))
✓	accuracy	97.0%	(.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)
✓	accuracy	85.3%	(-.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	47.0%	(/.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))))
✓	accuracy	92.2%	(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
✓	accuracy	90.6%	(.f64 x.re (.f64 x.im x.im))
✓	accuracy	89.2%	(/.f64 x.re (*.f64 x.im x.im))
✓	accuracy	87.2%	(.f64 (+.f64 #s(literal -3 binary64) (.f64 x.re (/.f64 x.re (.f64 x.im x.im)))) (.f64 x.re (*.f64 x.im x.im)))
✓	accuracy	99.8%	(*.f64 (/.f64 x.re x.im) x.re)
✓	accuracy	97.6%	(.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 (/.f64 x.re x.im) x.re) x.im))))
✓	accuracy	92.3%	(/.f64 (*.f64 (/.f64 x.re x.im) x.re) x.im)
✓	accuracy	77.7%	(.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (*.f64 (/.f64 x.re x.im) x.re) x.im)))
✓	accuracy	100.0%	(*.f64 x.im x.re)
✓	accuracy	99.8%	(.f64 x.im (.f64 x.im x.re))
✓	accuracy	99.8%	(.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re)))
✓	accuracy	99.7%	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
✓	accuracy	97.8%	(/.f64 x.re (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))
✓	accuracy	94.0%	(+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))

Results

274.0ms

256×

valid

Compiler

Compiled 296 to 37 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-mult: 91.0ms (67% of total)

ival-div: 27.0ms (19.9% of total)

ival-add: 14.0ms (10.3% of total)

ival-sub: 3.0ms (2.2% of total)

const: 2.0ms (1.5% of total)

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

series63.0ms (0.3%)

Counts

23 → 504

Calls

Call 1

Inputs
#<alt (/ x.re (/ 1 (+ (* (* x.im x.im) -3) (* x.re x.re))))>
#<alt (/ 1 (+ (* (* x.im x.im) -3) (* x.re x.re)))>
#<alt (+ (* (* x.im x.im) -3) (* x.re x.re))>
#<alt (* (* x.im x.im) -3)>
#<alt (* -3 (* x.im (* x.im x.re)))>
#<alt (* x.im (* x.im x.re))>
#<alt (* x.im x.re)>
#<alt (* x.re (* (* x.im x.im) (+ -3 (/ (* (/ x.re x.im) x.re) x.im))))>
#<alt (* (* x.im x.im) (+ -3 (/ (* (/ x.re x.im) x.re) x.im)))>
#<alt (* x.im x.im)>
#<alt (+ -3 (/ (* (/ x.re x.im) x.re) x.im))>
#<alt (* (+ -3 (* x.re (/ x.re (* x.im x.im)))) (* x.re (* x.im x.im)))>
#<alt (+ -3 (* x.re (/ x.re (* x.im x.im))))>
#<alt (* x.re (/ x.re (* x.im x.im)))>
#<alt (/ 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) x.im)>
#<alt (* (/ x.re x.im) x.re)>
#<alt (* x.re (* x.im x.im))>
#<alt (* 3 (* 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 (/ 1 (pow x.re 2))>
#<alt (+ (* 3 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2)))>
#<alt (+ (* (pow x.im 2) (+ (* 9 (/ (pow x.im 2) (pow x.re 6))) (* 3 (/ 1 (pow x.re 4))))) (/ 1 (pow x.re 2)))>
#<alt (+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 27 (/ (pow x.im 2) (pow x.re 8))) (* 9 (/ 1 (pow x.re 6))))) (* 3 (/ 1 (pow x.re 4))))) (/ 1 (pow x.re 2)))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ (- (* -1/9 (/ (pow x.re 2) (pow x.im 2))) 1/3) (pow x.im 2))>
#<alt (/ (- (* -1/27 (/ (pow x.re 4) (pow x.im 4))) (+ 1/3 (* 1/9 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))>
#<alt (/ (- (* -1/81 (/ (pow x.re 6) (pow x.im 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.re 4) (pow x.im 4))) (* 1/9 (/ (pow x.re 2) (pow x.im 2)))))) (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ (- (* -1/9 (/ (pow x.re 2) (pow x.im 2))) 1/3) (pow x.im 2))>
#<alt (/ (- (* -1/27 (/ (pow x.re 4) (pow x.im 4))) (+ 1/3 (* 1/9 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))>
#<alt (/ (- (* -1/81 (/ (pow x.re 6) (pow x.im 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.re 4) (pow x.im 4))) (* 1/9 (/ (pow x.re 2) (pow x.im 2)))))) (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (- (* -1/9 (/ (pow x.re 2) (pow x.im 4))) (* 1/3 (/ 1 (pow x.im 2))))>
#<alt (- (* (pow x.re 2) (- (* -1/27 (/ (pow x.re 2) (pow x.im 6))) (* 1/9 (/ 1 (pow x.im 4))))) (* 1/3 (/ 1 (pow x.im 2))))>
#<alt (- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1/81 (/ (pow x.re 2) (pow x.im 8))) (* 1/27 (/ 1 (pow x.im 6))))) (* 1/9 (/ 1 (pow x.im 4))))) (* 1/3 (/ 1 (pow x.im 2))))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ (+ 1 (* 3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 1 (* 9 (/ (pow x.im 4) (pow x.re 4)))) (* -3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 1 (* 27 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (* -3 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ (+ 1 (* 3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 1 (* 9 (/ (pow x.im 4) (pow x.re 4)))) (* -3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 1 (* 27 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (* -3 (/ (pow x.im 2) (pow x.re 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 (* -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 (* -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 (* -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 (* 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 (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 (* -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.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>
#<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 (* -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>
#<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 (/ (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 (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (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.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 (/ (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 (/ (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.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 (* 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

126 calls:

Time	Variable		Point	Expression
16.0ms	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))))
2.0ms	x.im	@	-inf	(/ 1 (+ (* (* x.im x.im) -3) (* x.re x.re)))
2.0ms	x.re	@	0	(* (/ x.re x.im) x.re)
2.0ms	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))))
2.0ms	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))))

rewrite900.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3404×	`-lowering-.f32`
3404×	`-lowering-.f64`
2998×	`/-lowering-/.f32`
2998×	`/-lowering-/.f64`
1924×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	188
1	211	164
2	1756	162
0	8203	162

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 887

Calls

Call 1

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

Outputs
(+.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 x.im x.im) #s(literal -3 binary64))) (.f64 x.re (*.f64 x.re x.re)))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.re x.re))) x.re)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 3 binary64))))) (/.f64 x.re (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.re x.re)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.re x.re)))) (/.f64 x.re (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.re x.re)))))
(fma.f64 x.re (.f64 (.f64 x.im 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.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))
(fma.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -3 binary64)) (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (.f64 x.im x.im) (.f64 x.re #s(literal -3 binary64)) (.f64 x.re (.f64 x.re x.re)))
(fma.f64 #s(literal -3 binary64) (.f64 x.re (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) x.re (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (.f64 x.re x.re) x.re (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))
(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64) (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (.f64 x.im #s(literal -3 binary64)) (.f64 x.re x.im) (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)) (.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(fma.f64 (.f64 #s(literal -3 binary64) x.re) (.f64 x.im x.im) (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.im)) x.im (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (.f64 (.f64 x.im #s(literal -3 binary64)) x.re) x.im (.f64 x.re (.f64 x.re x.re)))
(neg.f64 (/.f64 x.re (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 3 binary64)))) (.f64 x.re (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))))
(/.f64 x.re (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))) x.re))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))) x.re) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re 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 (*.f64 x.im x.im) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))) x.re)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))) x.re) #s(literal 1 binary64))))
(/.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))) (-.f64 #s(literal 0 binary64) x.re)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) x.re) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.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 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) #s(literal -729 binary64))) x.re) (.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re (.f64 x.re (.f64 x.re x.re))))) (.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64)))))) (+.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re (.f64 x.re (.f64 x.re x.re))))) (.f64 #s(literal 81 binary64) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))) x.re) (.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64)))) (+.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal 3 binary64)))))
(/.f64 (.f64 x.re (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal 27 binary64))))) (+.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (.f64 (.f64 x.re x.re) (-.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))))
(/.f64 (.f64 x.re (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal 27 binary64))))) (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (.f64 (.f64 x.re x.re) (-.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))))))
(/.f64 (.f64 x.re (-.f64 (.f64 (.f64 x.im x.im) (.f64 (.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 x.re (-.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (.f64 x.re (.f64 x.re (.f64 x.re x.re))))) (.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.re x.re))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x.re)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))
(/.f64 (neg.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))) (-.f64 #s(literal 0 binary64) x.re))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal 3 binary64))))))
(/.f64 (.f64 x.re (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.re x.re))) #s(literal 1 binary64))
(/.f64 (.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)))) #s(literal 1 binary64)) (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.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 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) #s(literal -729 binary64))) (/.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 3 binary64))))) (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re (.f64 x.re (.f64 x.re x.re))))) (.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re (.f64 x.re (.f64 x.re x.re))))) (.f64 #s(literal 81 binary64) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 x.im (.f64 x.im (.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 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.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 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) #s(literal -729 binary64))) x.re)) (neg.f64 (.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re (.f64 x.re (.f64 x.re x.re))))) (.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64)))))) (+.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re (.f64 x.re (.f64 x.re x.re))))) (.f64 #s(literal 81 binary64) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))) x.re)) (neg.f64 (.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64)))) (+.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x.re))) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))
(/.f64 (neg.f64 (.f64 x.re (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal 27 binary64)))))) (neg.f64 (+.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (.f64 (.f64 x.re x.re) (-.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))))
(/.f64 (neg.f64 (.f64 x.re (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal 27 binary64)))))) (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (.f64 (.f64 x.re x.re) (-.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))))))
(/.f64 (neg.f64 (.f64 x.re (-.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))))) (neg.f64 (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))
(/.f64 (neg.f64 (.f64 x.re (-.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))))) (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.re x.re)))))
(/.f64 (neg.f64 (neg.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))) (-.f64 #s(literal 0 binary64) x.re)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (.f64 x.re (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.re x.re)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.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)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.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 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) #s(literal -729 binary64))) (/.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 3 binary64)))))) (neg.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re (.f64 x.re (.f64 x.re x.re))))) (.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re (.f64 x.re (.f64 x.re x.re))))) (.f64 #s(literal 81 binary64) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))) (/.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 3 binary64)))))) (neg.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))))))
(/.f64 (+.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))))) (pow.f64 (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x.re x.re) (.f64 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 (pow.f64 (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) #s(literal 3 binary64)) (.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 (.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 (.f64 x.re x.re) (.f64 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 x.re x.re))))))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))) x.re) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))) x.re) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 x.re (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.re x.re)))
(.f64 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 (.f64 x.im x.im) #s(literal 3 binary64))))))
(.f64 #s(literal 1 binary64) (.f64 x.re (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))
(.f64 (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.re 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 x.re (+.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal 3 binary64)))))
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(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
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(.f64 (.f64 x.re x.re) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))
(.f64 (.f64 x.re x.re) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.im)) #s(literal 2 binary64)))
(*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))
(*.f64 (/.f64 x.re x.im) (/.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)))
(*.f64 (/.f64 x.re (/.f64 x.im x.re)) (/.f64 #s(literal 1 binary64) x.im))
(.f64 (/.f64 x.re (.f64 x.im x.im)) x.re)
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x.re (/.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.im)))
(*.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 x.im x.re)))
(*.f64 (/.f64 #s(literal 1 binary64) x.im) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 x.re (/.f64 x.im x.re))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 (/.f64 x.re x.im) (/.f64 #s(literal 1 binary64) x.re)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x.im x.im)) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)))
(*.f64 (/.f64 x.re (-.f64 #s(literal 0 binary64) x.im)) (/.f64 x.re (-.f64 #s(literal 0 binary64) x.im)))
(*.f64 (/.f64 x.re (-.f64 #s(literal 0 binary64) x.im)) (/.f64 (-.f64 #s(literal 0 binary64) x.re) x.im))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x.re) x.im) (/.f64 x.re (-.f64 #s(literal 0 binary64) x.im)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x.re) x.im) (/.f64 (-.f64 #s(literal 0 binary64) x.re) x.im))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x.re) x.im) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.im)) (/.f64 #s(literal 1 binary64) x.re)))
(.f64 (/.f64 x.re #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x.re) (.f64 x.im x.im)))
(*.f64 (/.f64 x.re #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 x.re x.im)) x.im))
(*.f64 (/.f64 (/.f64 x.re x.im) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x.re) x.im))
(*.f64 (/.f64 (neg.f64 (/.f64 x.re x.im)) #s(literal -1 binary64)) (/.f64 x.re x.im))
(/.f64 x.re (/.f64 x.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 x.im (*.f64 x.re x.re)))
(/.f64 (*.f64 x.re x.re) x.im)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x.im (*.f64 x.re x.re))))
(/.f64 (-.f64 #s(literal 0 binary64) x.re) (neg.f64 (/.f64 x.im x.re)))
(/.f64 (neg.f64 (*.f64 x.re x.re)) (-.f64 #s(literal 0 binary64) x.im))
(/.f64 (*.f64 x.re (-.f64 #s(literal 0 binary64) x.re)) (-.f64 #s(literal 0 binary64) x.im))
(/.f64 (*.f64 #s(literal 1 binary64) x.re) (/.f64 x.im x.re))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x.re) x.re) (-.f64 #s(literal 0 binary64) x.im))
(/.f64 (neg.f64 (neg.f64 (*.f64 x.re x.re))) (neg.f64 (-.f64 #s(literal 0 binary64) x.im)))
(/.f64 (neg.f64 (*.f64 x.re (-.f64 #s(literal 0 binary64) x.re))) (neg.f64 (-.f64 #s(literal 0 binary64) x.im)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x.re)) (neg.f64 (/.f64 x.im x.re)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x.re) x.re)) (neg.f64 (-.f64 #s(literal 0 binary64) x.im)))
(pow.f64 (/.f64 x.im (*.f64 x.re x.re)) #s(literal -1 binary64))
(*.f64 x.re (/.f64 x.re x.im))
(.f64 (.f64 x.re x.re) (/.f64 #s(literal 1 binary64) x.im))
(*.f64 (/.f64 x.re x.im) x.re)
(*.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)))
(*.f64 (/.f64 x.re #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x.re) x.im))
(.f64 x.re (.f64 x.im x.im))
(.f64 x.im (.f64 x.re x.im))
(.f64 (.f64 x.im x.im) x.re)
(.f64 (.f64 x.re x.im) x.im)
(.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)

simplify635.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

4110×	`-lowering-.f32`
4110×	`-lowering-.f64`
1688×	`fnmadd-define`
1470×	`fma-lowering-fma.f32`
1470×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	3730
1	454	3724
2	1303	3676
3	4540	3676
0	8248	3676

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

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))))
(/ 1 (pow x.re 2))
(+ (* 3 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2)))
(+ (* (pow x.im 2) (+ (* 9 (/ (pow x.im 2) (pow x.re 6))) (* 3 (/ 1 (pow x.re 4))))) (/ 1 (pow x.re 2)))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 27 (/ (pow x.im 2) (pow x.re 8))) (* 9 (/ 1 (pow x.re 6))))) (* 3 (/ 1 (pow x.re 4))))) (/ 1 (pow x.re 2)))
(/ -1/3 (pow x.im 2))
(/ (- (* -1/9 (/ (pow x.re 2) (pow x.im 2))) 1/3) (pow x.im 2))
(/ (- (* -1/27 (/ (pow x.re 4) (pow x.im 4))) (+ 1/3 (* 1/9 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/ (- (* -1/81 (/ (pow x.re 6) (pow x.im 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.re 4) (pow x.im 4))) (* 1/9 (/ (pow x.re 2) (pow x.im 2)))))) (pow x.im 2))
(/ -1/3 (pow x.im 2))
(/ (- (* -1/9 (/ (pow x.re 2) (pow x.im 2))) 1/3) (pow x.im 2))
(/ (- (* -1/27 (/ (pow x.re 4) (pow x.im 4))) (+ 1/3 (* 1/9 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/ (- (* -1/81 (/ (pow x.re 6) (pow x.im 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.re 4) (pow x.im 4))) (* 1/9 (/ (pow x.re 2) (pow x.im 2)))))) (pow x.im 2))
(/ -1/3 (pow x.im 2))
(- (* -1/9 (/ (pow x.re 2) (pow x.im 4))) (* 1/3 (/ 1 (pow x.im 2))))
(- (* (pow x.re 2) (- (* -1/27 (/ (pow x.re 2) (pow x.im 6))) (* 1/9 (/ 1 (pow x.im 4))))) (* 1/3 (/ 1 (pow x.im 2))))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1/81 (/ (pow x.re 2) (pow x.im 8))) (* 1/27 (/ 1 (pow x.im 6))))) (* 1/9 (/ 1 (pow x.im 4))))) (* 1/3 (/ 1 (pow x.im 2))))
(/ 1 (pow x.re 2))
(/ (+ 1 (* 3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1 (* 9 (/ (pow x.im 4) (pow x.re 4)))) (* -3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1 (* 27 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (* -3 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))
(/ 1 (pow x.re 2))
(/ (+ 1 (* 3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1 (* 9 (/ (pow x.im 4) (pow x.re 4)))) (* -3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1 (* 27 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (* -3 (/ (pow x.im 2) (pow x.re 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))
(* -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)))))
(* -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))
(* -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))
(* 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))))
(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))
(* -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.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.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)
(* -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.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)
(/ (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))
(/ 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))
(* -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)
(/ (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))
(/ (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.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)
(* 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
(* -3 (* (pow x.im 2) x.re))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im 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 (*.f64 x.im 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 (*.f64 x.im 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)))
(/ 1 (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(+ (* 3 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x.im (/.f64 x.im (*.f64 x.re x.re))))) x.re) x.re)
(+ (* (pow x.im 2) (+ (* 9 (/ (pow x.im 2) (pow x.re 6))) (* 3 (/ 1 (pow x.re 4))))) (/ 1 (pow x.re 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 (.f64 x.im x.im) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (/.f64 #s(literal 3 binary64) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))))))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 27 (/ (pow x.im 2) (pow x.re 8))) (* 9 (/ 1 (pow x.re 6))))) (* 3 (/ 1 (pow x.re 4))))) (/ 1 (pow x.re 2)))
(+.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 x.im x.im) #s(literal 27 binary64)) (pow.f64 x.re #s(literal 8 binary64))) (/.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 6 binary64)))) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x.im (/.f64 x.im (*.f64 x.re x.re))))) x.re) x.re))
(/ -1/3 (pow x.im 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im))
(/ (- (* -1/9 (/ (pow x.re 2) (pow x.im 2))) 1/3) (pow x.im 2))
(/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 x.re (.f64 (/.f64 x.re (.f64 x.im x.im)) #s(literal -1/9 binary64)))) (.f64 x.im x.im))
(/ (- (* -1/27 (/ (pow x.re 4) (pow x.im 4))) (+ 1/3 (* 1/9 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/.f64 (+.f64 (+.f64 #s(literal -1/3 binary64) (.f64 x.re (.f64 (/.f64 x.re (.f64 x.im x.im)) #s(literal -1/9 binary64)))) (/.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal -1/27 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (*.f64 x.im x.im))
(/ (- (* -1/81 (/ (pow x.re 6) (pow x.im 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.re 4) (pow x.im 4))) (* 1/9 (/ (pow x.re 2) (pow x.im 2)))))) (pow x.im 2))
(/.f64 (+.f64 (/.f64 (.f64 (pow.f64 x.re #s(literal 6 binary64)) #s(literal -1/81 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal -1/3 binary64) (.f64 x.re (.f64 (/.f64 x.re (.f64 x.im x.im)) #s(literal -1/9 binary64)))) (/.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal -1/27 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))) (.f64 x.im x.im))
(/ -1/3 (pow x.im 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im))
(/ (- (* -1/9 (/ (pow x.re 2) (pow x.im 2))) 1/3) (pow x.im 2))
(/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 x.re (.f64 (/.f64 x.re (.f64 x.im x.im)) #s(literal -1/9 binary64)))) (.f64 x.im x.im))
(/ (- (* -1/27 (/ (pow x.re 4) (pow x.im 4))) (+ 1/3 (* 1/9 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/.f64 (+.f64 (+.f64 #s(literal -1/3 binary64) (.f64 x.re (.f64 (/.f64 x.re (.f64 x.im x.im)) #s(literal -1/9 binary64)))) (/.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal -1/27 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (*.f64 x.im x.im))
(/ (- (* -1/81 (/ (pow x.re 6) (pow x.im 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.re 4) (pow x.im 4))) (* 1/9 (/ (pow x.re 2) (pow x.im 2)))))) (pow x.im 2))
(/.f64 (+.f64 (/.f64 (.f64 (pow.f64 x.re #s(literal 6 binary64)) #s(literal -1/81 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal -1/3 binary64) (.f64 x.re (.f64 (/.f64 x.re (.f64 x.im x.im)) #s(literal -1/9 binary64)))) (/.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal -1/27 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))) (.f64 x.im x.im))
(/ -1/3 (pow x.im 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im))
(- (* -1/9 (/ (pow x.re 2) (pow x.im 4))) (* 1/3 (/ 1 (pow x.im 2))))
(/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 x.re (.f64 (/.f64 x.re (.f64 x.im x.im)) #s(literal -1/9 binary64)))) (.f64 x.im x.im))
(- (* (pow x.re 2) (- (* -1/27 (/ (pow x.re 2) (pow x.im 6))) (* 1/9 (/ 1 (pow x.im 4))))) (* 1/3 (/ 1 (pow x.im 2))))
(+.f64 (/.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re x.re) #s(literal -1/27 binary64))) (pow.f64 x.im #s(literal 6 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 x.re (.f64 (/.f64 x.re (.f64 x.im x.im)) #s(literal -1/9 binary64)))) (.f64 x.im x.im)))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1/81 (/ (pow x.re 2) (pow x.im 8))) (* 1/27 (/ 1 (pow x.im 6))))) (* 1/9 (/ 1 (pow x.im 4))))) (* 1/3 (/ 1 (pow x.im 2))))
(+.f64 (.f64 (.f64 x.re x.re) (+.f64 (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 x.re (.f64 x.re #s(literal -1/81 binary64))) (pow.f64 x.im #s(literal 8 binary64))) (/.f64 #s(literal -1/27 binary64) (pow.f64 x.im #s(literal 6 binary64))))) (/.f64 #s(literal -1/9 binary64) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))) (/.f64 #s(literal -1/3 binary64) (.f64 x.im x.im)))
(/ 1 (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(/ (+ 1 (* 3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
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(.f64 x.re (.f64 (.f64 x.im (.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)))
(* x.re (+ (* -9 (pow x.im 4)) (pow x.re 4)))
(.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))))
(* x.re (+ (* -9 (pow x.im 4)) (pow x.re 4)))
(.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))))
(* x.re (+ (* -9 (pow x.im 4)) (pow x.re 4)))
(.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))))
(pow x.re 5)
(.f64 x.re (.f64 x.re (.f64 x.re (.f64 x.re x.re))))
(* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(.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))))
(* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(.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))))
(* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(.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))))
(pow x.re 5)
(.f64 x.re (.f64 x.re (.f64 x.re (.f64 x.re x.re))))
(* -1 (* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1)))
(.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))))
(* -1 (* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1)))
(.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))))
(* -1 (* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1)))
(.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))))
(pow x.re 5)
(.f64 x.re (.f64 x.re (.f64 x.re (.f64 x.re x.re))))
(+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5))
(.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))))
(+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5))
(.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))))
(+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5))
(.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))))
(* -9 (* (pow x.im 4) x.re))
(.f64 x.re (.f64 (.f64 x.im (.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(.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))))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(.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))))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(.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))))
(* -9 (* (pow x.im 4) x.re))
(.f64 x.re (.f64 (.f64 x.im (.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(.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))))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(.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))))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(.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))))
(* -9 (pow x.im 4))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64))
(- (pow x.re 4) (* 9 (pow x.im 4)))
(+.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)))
(- (pow x.re 4) (* 9 (pow x.im 4)))
(+.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)))
(- (pow x.re 4) (* 9 (pow x.im 4)))
(+.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)))
(pow x.re 4)
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(+.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)))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(+.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)))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(+.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)))
(pow x.re 4)
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(+.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)))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(+.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)))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(+.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)))
(pow x.re 4)
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(+ (* -9 (pow x.im 4)) (pow x.re 4))
(+.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)))
(+ (* -9 (pow x.im 4)) (pow x.re 4))
(+.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)))
(+ (* -9 (pow x.im 4)) (pow x.re 4))
(+.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)))
(* -9 (pow x.im 4))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(.f64 (.f64 x.im (.f64 x.im (.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)))) #s(literal -9 binary64)))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(.f64 (.f64 x.im (.f64 x.im (.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)))) #s(literal -9 binary64)))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(.f64 (.f64 x.im (.f64 x.im (.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)))) #s(literal -9 binary64)))
(* -9 (pow x.im 4))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(.f64 (.f64 x.im (.f64 x.im (.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)))) #s(literal -9 binary64)))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(.f64 (.f64 x.im (.f64 x.im (.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)))) #s(literal -9 binary64)))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(.f64 (.f64 x.im (.f64 x.im (.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)))) #s(literal -9 binary64)))
(pow x.re 4)
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(pow x.re 4)
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(pow x.re 4)
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(pow x.re 4)
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(pow x.re 4)
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(pow x.re 4)
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(pow x.re 4)
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(pow x.re 4)
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(pow x.re 4)
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(pow x.re 4)
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(pow x.re 4)
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(pow x.re 4)
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(/ (pow x.re 2) (pow x.im 2))
(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
(/ (pow x.re 2) (pow x.im 2))
(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
(/ (pow x.re 2) (pow x.im 2))
(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
(/ (pow x.re 2) (pow x.im 2))
(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
(/ (pow x.re 2) (pow x.im 2))
(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
(/ (pow x.re 2) (pow x.im 2))
(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
(/ (pow x.re 2) (pow x.im 2))
(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
(/ (pow x.re 2) (pow x.im 2))
(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
(/ (pow x.re 2) (pow x.im 2))
(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
(/ (pow x.re 2) (pow x.im 2))
(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
(/ (pow x.re 2) (pow x.im 2))
(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
(/ (pow x.re 2) (pow x.im 2))
(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
(/ (pow x.re 2) (pow x.im 2))
(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
(/ (pow x.re 2) (pow x.im 2))
(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
(/ (pow x.re 2) (pow x.im 2))
(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
(/ (pow x.re 2) (pow x.im 2))
(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
(/ (pow x.re 2) (pow x.im 2))
(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
(/ (pow x.re 2) (pow x.im 2))
(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
(/ (pow x.re 2) (pow x.im 2))
(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
(/ (pow x.re 2) (pow x.im 2))
(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
(/ (pow x.re 2) (pow x.im 2))
(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
(/ (pow x.re 2) (pow x.im 2))
(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
(/ (pow x.re 2) (pow x.im 2))
(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
(/ (pow x.re 2) (pow x.im 2))
(.f64 x.re (/.f64 x.re (.f64 x.im 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) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) 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)))

eval473.0ms (2.3%)

Compiler: Compiled 41583 to 2555 computations (93.9% saved)

prune311.0ms (1.5%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	1484	7	1491
Fresh	4	1	5
Picked	2	3	5
Done	0	2	2
Total	1490	13	1503

Accuracy

100.0%

Counts

1503 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.1%	(/.f64 x.re (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x.im (/.f64 x.im (*.f64 x.re x.re))))) x.re) x.re))
✓	90.9%	(/.f64 x.re (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))
	62.7%	(/.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
▶	48.9%	(/.f64 x.re (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)))
▶	89.4%	(.f64 (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im)) x.re)
	49.0%	(.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
▶	32.4%	(.f64 (.f64 x.re (/.f64 x.re (.f64 x.im x.im))) (.f64 x.re (*.f64 x.im x.im)))
▶	49.0%	(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
▶	24.4%	(.f64 x.re (/.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.re x.re))))
✓	91.0%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))
✓	76.5%	(.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 (/.f64 x.re x.im) x.re) x.im))))
✓	62.7%	(.f64 x.re (.f64 x.re x.re))
✓	51.2%	(.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re)))

Compiler

Compiled 281 to 168 computations (40.2% saved)

simplify587.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64)))
✓	cost-diff	0	(/.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
✓	cost-diff	0	(.f64 x.re (/.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.re x.re))))
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(/.f64 x.re (*.f64 x.im x.im))
✓	cost-diff	0	(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
✓	cost-diff	512	(.f64 (.f64 x.re (/.f64 x.re (.f64 x.im x.im))) (.f64 x.re (*.f64 x.im x.im)))
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im))
✓	cost-diff	0	(/.f64 x.re (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)))
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(.f64 x.re (.f64 x.im x.im))
✓	cost-diff	0	(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
✓	cost-diff	0	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
✓	cost-diff	256	(*.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im)
✓	cost-diff	256	(+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im))
✓	cost-diff	256	(.f64 (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im)) x.re)

Rules

5472×	`-lowering-.f32`
5472×	`-lowering-.f64`
2110×	`/-lowering-/.f32`
2110×	`/-lowering-/.f64`
1890×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	202
1	72	200
2	209	192
3	555	176
4	1047	164
5	1420	164
6	3491	164
7	7705	164
0	8349	164

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (+ (* (* x.im x.im) -3) (* (/ x.re (/ x.im x.re)) x.im)) x.re)
(+ (* (* x.im x.im) -3) (* (/ x.re (/ x.im x.re)) x.im))
(* (* x.im x.im) -3)
(* x.im x.im)
x.im
-3
(* (/ x.re (/ x.im x.re)) x.im)
(/ x.re (/ x.im x.re))
x.re
(/ x.im x.re)
(* (* x.re (* x.im x.im)) -3)
(* x.re (* x.im x.im))
x.re
(* x.im x.im)
x.im
-3
(/ x.re (/ -1/3 (* x.im x.im)))
x.re
(/ -1/3 (* x.im x.im))
-1/3
(* x.im x.im)
x.im
(* (* x.re (/ x.re (* x.im x.im))) (* x.re (* x.im x.im)))
(* x.re (/ x.re (* x.im x.im)))
x.re
(/ x.re (* x.im x.im))
(* x.im x.im)
x.im
(* x.re (* x.im x.im))
(* x.re (/ (* (* x.im x.im) (* (* x.im x.im) 9)) (- (* (* x.im x.im) -3) (* x.re x.re))))
x.re
(/ (* (* x.im x.im) (* (* x.im x.im) 9)) (- (* (* x.im x.im) -3) (* x.re x.re)))
(* (* x.im x.im) (* (* x.im x.im) 9))
(* x.im x.im)
x.im
(* (* x.im x.im) 9)
9
(- (* (* x.im x.im) -3) (* x.re x.re))
(* (* x.im x.im) -3)
-3
(* x.re x.re)

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

localize331.0ms (1.6%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 x.im x.im) #s(literal 9 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
✓	accuracy	94.4%	(.f64 x.re (/.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.re x.re))))
✓	accuracy	58.3%	(/.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
✓	accuracy	92.2%	(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
✓	accuracy	90.6%	(.f64 x.re (.f64 x.im x.im))
✓	accuracy	89.2%	(/.f64 x.re (*.f64 x.im x.im))
✓	accuracy	78.5%	(.f64 (.f64 x.re (/.f64 x.re (.f64 x.im x.im))) (.f64 x.re (*.f64 x.im x.im)))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.5%	(/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im))
✓	accuracy	90.8%	(/.f64 x.re (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
✓	accuracy	90.6%	(.f64 x.re (.f64 x.im x.im))
✓	accuracy	99.7%	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
✓	accuracy	97.6%	(.f64 (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im)) x.re)
✓	accuracy	94.0%	(+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im))
✓	accuracy	91.8%	(*.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im)

Results

213.0ms

256×

valid

Compiler

Compiled 206 to 26 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-mult: 55.0ms (57% of total)

ival-div: 28.0ms (29% of total)

...c/correct-round.rkt:119:19: 7.0ms (7.2% of total)

ival-sub: 3.0ms (3.1% of total)

ival-add: 3.0ms (3.1% of total)

const: 1.0ms (1% of total)

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

series26.0ms (0.1%)

Counts

16 → 324

Calls

Call 1

Inputs
#<alt (* (+ (* (* x.im x.im) -3) (* (/ x.re (/ x.im x.re)) x.im)) x.re)>
#<alt (+ (* (* x.im x.im) -3) (* (/ x.re (/ x.im x.re)) x.im))>
#<alt (* (/ x.re (/ x.im x.re)) x.im)>
#<alt (* (* x.im x.im) -3)>
#<alt (* (* x.re (* x.im x.im)) -3)>
#<alt (* x.re (* x.im x.im))>
#<alt (* x.im x.im)>
#<alt (/ x.re (/ -1/3 (* x.im x.im)))>
#<alt (/ -1/3 (* x.im x.im))>
#<alt (* (* x.re (/ x.re (* x.im x.im))) (* x.re (* x.im x.im)))>
#<alt (* x.re (/ x.re (* x.im x.im)))>
#<alt (/ x.re (* x.im x.im))>
#<alt (* x.re (/ (* (* x.im x.im) (* (* x.im x.im) 9)) (- (* (* x.im x.im) -3) (* x.re x.re))))>
#<alt (/ (* (* x.im x.im) (* (* x.im x.im) 9)) (- (* (* x.im x.im) -3) (* x.re x.re)))>
#<alt (* (* x.im x.im) (* (* x.im x.im) 9))>
#<alt (* (* x.im x.im) 9)>

Outputs
#<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.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 (* -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 (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 (* -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 (* -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 (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 (/ -1/3 (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 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 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) (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 (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (pow x.im 2))>
#<alt (/ x.re (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) (+ 1 (* -1/3 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (* (pow x.re 2) (+ 1 (* (pow x.re 2) (- (* 1/9 (/ (pow x.re 2) (pow x.im 4))) (* 1/3 (/ 1 (pow x.im 2)))))))))>
#<alt (* -9 (/ (pow x.im 4) x.re))>
#<alt (/ (+ (* -9 (pow x.im 4)) (* 27 (/ (pow x.im 6) (pow x.re 2)))) x.re)>
#<alt (/ (+ (* -81 (/ (pow x.im 8) (pow x.re 4))) (+ (* -9 (pow x.im 4)) (* 27 (/ (pow x.im 6) (pow x.re 2))))) x.re)>
#<alt (/ (+ (* -81 (/ (pow x.im 8) (pow x.re 4))) (+ (* -9 (pow x.im 4)) (+ (* 27 (/ (pow x.im 6) (pow x.re 2))) (* 243 (/ (pow x.im 10) (pow x.re 6)))))) x.re)>
#<alt (* -9 (/ (pow x.im 4) x.re))>
#<alt (* -1 (/ (+ (* -27 (/ (pow x.im 6) (pow x.re 2))) (* 9 (pow x.im 4))) x.re))>
#<alt (* -1 (/ (+ (* -27 (/ (pow x.im 6) (pow x.re 2))) (+ (* 9 (pow x.im 4)) (* 81 (/ (pow x.im 8) (pow x.re 4))))) x.re))>
#<alt (* -1 (/ (+ (* -243 (/ (pow x.im 10) (pow x.re 6))) (+ (* -27 (/ (pow x.im 6) (pow x.re 2))) (+ (* 9 (pow x.im 4)) (* 81 (/ (pow x.im 8) (pow x.re 4)))))) x.re))>
#<alt (* -9 (/ (pow x.im 4) x.re))>
#<alt (* (pow x.im 4) (- (* 27 (/ (pow x.im 2) (pow x.re 3))) (* 9 (/ 1 x.re))))>
#<alt (* (pow x.im 4) (- (* (pow x.im 2) (+ (* -81 (/ (pow x.im 2) (pow x.re 5))) (* 27 (/ 1 (pow x.re 3))))) (* 9 (/ 1 x.re))))>
#<alt (* (pow x.im 4) (- (* (pow x.im 2) (+ (* (pow x.im 2) (- (* 243 (/ (pow x.im 2) (pow x.re 7))) (* 81 (/ 1 (pow x.re 5))))) (* 27 (/ 1 (pow x.re 3))))) (* 9 (/ 1 x.re))))>
#<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) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2)))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (+ (* 1/9 (/ (pow x.re 7) (pow x.im 6))) (/ (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) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2)))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (+ (* 1/9 (/ (pow x.re 7) (pow x.im 6))) (/ (pow x.re 3) (pow x.im 2))))))>
#<alt (* -9 (/ (pow x.im 4) (pow x.re 2)))>
#<alt (* (pow x.im 4) (- (* 27 (/ (pow x.im 2) (pow x.re 4))) (* 9 (/ 1 (pow x.re 2)))))>
#<alt (* (pow x.im 4) (- (* (pow x.im 2) (+ (* -81 (/ (pow x.im 2) (pow x.re 6))) (* 27 (/ 1 (pow x.re 4))))) (* 9 (/ 1 (pow x.re 2)))))>
#<alt (* (pow x.im 4) (- (* (pow x.im 2) (+ (* (pow x.im 2) (- (* 243 (/ (pow x.im 2) (pow x.re 8))) (* 81 (/ 1 (pow x.re 6))))) (* 27 (/ 1 (pow x.re 4))))) (* 9 (/ 1 (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) (- (* -1/3 (/ (pow x.re 4) (pow x.im 4))) (+ 3 (* -1 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* (pow x.im 2) (- (* 1/9 (/ (pow x.re 6) (pow x.im 6))) (+ 3 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (* 1/3 (/ (pow x.re 4) (pow x.im 4)))))))>
#<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) (- (* -1/3 (/ (pow x.re 4) (pow x.im 4))) (+ 3 (* -1 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* (pow x.im 2) (- (* 1/9 (/ (pow x.re 6) (pow x.im 6))) (+ 3 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (* 1/3 (/ (pow x.re 4) (pow x.im 4)))))))>
#<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) (+ 1 (* -1/3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (+ (* -3 (pow x.im 2)) (* (pow x.re 2) (+ 1 (* (pow x.re 2) (- (* 1/9 (/ (pow x.re 2) (pow x.im 4))) (* 1/3 (/ 1 (pow x.im 2))))))))>
#<alt (* -9 (/ (pow x.im 4) (pow x.re 2)))>
#<alt (/ (+ (* -9 (pow x.im 4)) (* 27 (/ (pow x.im 6) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (+ (* -81 (/ (pow x.im 8) (pow x.re 4))) (+ (* -9 (pow x.im 4)) (* 27 (/ (pow x.im 6) (pow x.re 2))))) (pow x.re 2))>
#<alt (/ (+ (* -81 (/ (pow x.im 8) (pow x.re 4))) (+ (* -9 (pow x.im 4)) (+ (* 27 (/ (pow x.im 6) (pow x.re 2))) (* 243 (/ (pow x.im 10) (pow x.re 6)))))) (pow x.re 2))>
#<alt (* -9 (/ (pow x.im 4) (pow x.re 2)))>
#<alt (/ (+ (* -9 (pow x.im 4)) (* 27 (/ (pow x.im 6) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (+ (* -81 (/ (pow x.im 8) (pow x.re 4))) (+ (* -9 (pow x.im 4)) (* 27 (/ (pow x.im 6) (pow x.re 2))))) (pow x.re 2))>
#<alt (/ (+ (* -81 (/ (pow x.im 8) (pow x.re 4))) (+ (* -9 (pow x.im 4)) (+ (* 27 (/ (pow x.im 6) (pow x.re 2))) (* 243 (/ (pow x.im 10) (pow x.re 6)))))) (pow x.re 2))>
#<alt (* 9 (pow x.im 4))>
#<alt (* 9 (pow x.im 4))>
#<alt (* 9 (pow x.im 4))>
#<alt (* 9 (pow x.im 4))>
#<alt (* 9 (pow x.im 4))>
#<alt (* 9 (pow x.im 4))>
#<alt (* 9 (pow x.im 4))>
#<alt (* 9 (pow x.im 4))>
#<alt (* 9 (pow x.im 4))>
#<alt (* 9 (pow x.im 4))>
#<alt (* 9 (pow x.im 4))>
#<alt (* 9 (pow x.im 4))>
#<alt (* 9 (pow x.im 2))>
#<alt (* 9 (pow x.im 2))>
#<alt (* 9 (pow x.im 2))>
#<alt (* 9 (pow x.im 2))>
#<alt (* 9 (pow x.im 2))>
#<alt (* 9 (pow x.im 2))>
#<alt (* 9 (pow x.im 2))>
#<alt (* 9 (pow x.im 2))>
#<alt (* 9 (pow x.im 2))>
#<alt (* 9 (pow x.im 2))>
#<alt (* 9 (pow x.im 2))>
#<alt (* 9 (pow x.im 2))>

Calls

81 calls:

Time	Variable		Point	Expression
2.0ms	x.re	@	inf	(* x.re (/ (* (* x.im x.im) (* (* x.im x.im) 9)) (- (* (* x.im x.im) -3) (* x.re x.re))))
1.0ms	x.im	@	inf	(* x.re (/ (* (* x.im x.im) (* (* x.im x.im) 9)) (- (* (* x.im x.im) -3) (* x.re x.re))))
1.0ms	x.im	@	0	(* x.re (/ (* (* x.im x.im) (* (* x.im x.im) 9)) (- (* (* x.im x.im) -3) (* x.re x.re))))
1.0ms	x.im	@	0	(/ (* (* x.im x.im) (* (* x.im x.im) 9)) (- (* (* x.im x.im) -3) (* x.re x.re)))
1.0ms	x.re	@	0	(* x.re (/ (* (* x.im x.im) (* (* x.im x.im) 9)) (- (* (* x.im x.im) -3) (* x.re x.re))))

rewrite782.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4650×	`/-lowering-/.f32`
4650×	`/-lowering-/.f64`
4408×	`-lowering-.f32`
4408×	`-lowering-.f64`
1896×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	142
1	138	128
2	1038	122
0	8372	122

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 713

Calls

Call 1

Inputs
(* (+ (* (* x.im x.im) -3) (* (/ x.re (/ x.im x.re)) x.im)) x.re)
(+ (* (* x.im x.im) -3) (* (/ x.re (/ x.im x.re)) x.im))
(* (/ x.re (/ x.im x.re)) x.im)
(* (* x.im x.im) -3)
(* (* x.re (* x.im x.im)) -3)
(* x.re (* x.im x.im))
(* x.im x.im)
(/ x.re (/ -1/3 (* x.im x.im)))
(/ -1/3 (* x.im x.im))
(* (* x.re (/ x.re (* x.im x.im))) (* x.re (* x.im x.im)))
(* x.re (/ x.re (* x.im x.im)))
(/ x.re (* x.im x.im))
(* x.re (/ (* (* x.im x.im) (* (* x.im x.im) 9)) (- (* (* x.im x.im) -3) (* x.re x.re))))
(/ (* (* x.im x.im) (* (* x.im x.im) 9)) (- (* (* x.im x.im) -3) (* x.re x.re)))
(* (* x.im x.im) (* (* x.im x.im) 9))
(* (* x.im x.im) 9)

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

simplify605.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

4100×	`-lowering-.f32`
4100×	`-lowering-.f64`
1548×	`fma-lowering-fma.f32`
1548×	`fma-lowering-fma.f64`
1438×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	184	2512
1	531	2504
2	1614	2482
3	5507	2468
0	8245	2468

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
(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.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))
(* -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)
(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)
(* -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))
(* -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)
(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))
(/ -1/3 (pow x.im 2))
(/ -1/3 (pow x.im 2))
(/ -1/3 (pow x.im 2))
(/ -1/3 (pow x.im 2))
(/ -1/3 (pow x.im 2))
(/ -1/3 (pow x.im 2))
(/ -1/3 (pow x.im 2))
(/ -1/3 (pow x.im 2))
(/ -1/3 (pow x.im 2))
(/ -1/3 (pow x.im 2))
(/ -1/3 (pow x.im 2))
(/ -1/3 (pow x.im 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 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.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))
(/ 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))
(* -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) (+ 1 (* -1/3 (/ (pow x.re 2) (pow x.im 2)))))))
(* x.re (+ (* -3 (pow x.im 2)) (* (pow x.re 2) (+ 1 (* (pow x.re 2) (- (* 1/9 (/ (pow x.re 2) (pow x.im 4))) (* 1/3 (/ 1 (pow x.im 2)))))))))
(* -9 (/ (pow x.im 4) x.re))
(/ (+ (* -9 (pow x.im 4)) (* 27 (/ (pow x.im 6) (pow x.re 2)))) x.re)
(/ (+ (* -81 (/ (pow x.im 8) (pow x.re 4))) (+ (* -9 (pow x.im 4)) (* 27 (/ (pow x.im 6) (pow x.re 2))))) x.re)
(/ (+ (* -81 (/ (pow x.im 8) (pow x.re 4))) (+ (* -9 (pow x.im 4)) (+ (* 27 (/ (pow x.im 6) (pow x.re 2))) (* 243 (/ (pow x.im 10) (pow x.re 6)))))) x.re)
(* -9 (/ (pow x.im 4) x.re))
(* -1 (/ (+ (* -27 (/ (pow x.im 6) (pow x.re 2))) (* 9 (pow x.im 4))) x.re))
(* -1 (/ (+ (* -27 (/ (pow x.im 6) (pow x.re 2))) (+ (* 9 (pow x.im 4)) (* 81 (/ (pow x.im 8) (pow x.re 4))))) x.re))
(* -1 (/ (+ (* -243 (/ (pow x.im 10) (pow x.re 6))) (+ (* -27 (/ (pow x.im 6) (pow x.re 2))) (+ (* 9 (pow x.im 4)) (* 81 (/ (pow x.im 8) (pow x.re 4)))))) x.re))
(* -9 (/ (pow x.im 4) x.re))
(* (pow x.im 4) (- (* 27 (/ (pow x.im 2) (pow x.re 3))) (* 9 (/ 1 x.re))))
(* (pow x.im 4) (- (* (pow x.im 2) (+ (* -81 (/ (pow x.im 2) (pow x.re 5))) (* 27 (/ 1 (pow x.re 3))))) (* 9 (/ 1 x.re))))
(* (pow x.im 4) (- (* (pow x.im 2) (+ (* (pow x.im 2) (- (* 243 (/ (pow x.im 2) (pow x.re 7))) (* 81 (/ 1 (pow x.re 5))))) (* 27 (/ 1 (pow x.re 3))))) (* 9 (/ 1 x.re))))
(* -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) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (+ (* -3 x.re) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (+ (* 1/9 (/ (pow x.re 7) (pow x.im 6))) (/ (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) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (+ (* -3 x.re) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (+ (* 1/9 (/ (pow x.re 7) (pow x.im 6))) (/ (pow x.re 3) (pow x.im 2))))))
(* -9 (/ (pow x.im 4) (pow x.re 2)))
(* (pow x.im 4) (- (* 27 (/ (pow x.im 2) (pow x.re 4))) (* 9 (/ 1 (pow x.re 2)))))
(* (pow x.im 4) (- (* (pow x.im 2) (+ (* -81 (/ (pow x.im 2) (pow x.re 6))) (* 27 (/ 1 (pow x.re 4))))) (* 9 (/ 1 (pow x.re 2)))))
(* (pow x.im 4) (- (* (pow x.im 2) (+ (* (pow x.im 2) (- (* 243 (/ (pow x.im 2) (pow x.re 8))) (* 81 (/ 1 (pow x.re 6))))) (* 27 (/ 1 (pow x.re 4))))) (* 9 (/ 1 (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) (- (* -1/3 (/ (pow x.re 4) (pow x.im 4))) (+ 3 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* (pow x.im 2) (- (* 1/9 (/ (pow x.re 6) (pow x.im 6))) (+ 3 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (* 1/3 (/ (pow x.re 4) (pow x.im 4)))))))
(* -3 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (* -1/3 (/ (pow x.re 4) (pow x.im 4))) (+ 3 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* (pow x.im 2) (- (* 1/9 (/ (pow x.re 6) (pow x.im 6))) (+ 3 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (* 1/3 (/ (pow x.re 4) (pow x.im 4)))))))
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (* (pow x.re 2) (+ 1 (* -1/3 (/ (pow x.re 2) (pow x.im 2))))))
(+ (* -3 (pow x.im 2)) (* (pow x.re 2) (+ 1 (* (pow x.re 2) (- (* 1/9 (/ (pow x.re 2) (pow x.im 4))) (* 1/3 (/ 1 (pow x.im 2))))))))
(* -9 (/ (pow x.im 4) (pow x.re 2)))
(/ (+ (* -9 (pow x.im 4)) (* 27 (/ (pow x.im 6) (pow x.re 2)))) (pow x.re 2))
(/ (+ (* -81 (/ (pow x.im 8) (pow x.re 4))) (+ (* -9 (pow x.im 4)) (* 27 (/ (pow x.im 6) (pow x.re 2))))) (pow x.re 2))
(/ (+ (* -81 (/ (pow x.im 8) (pow x.re 4))) (+ (* -9 (pow x.im 4)) (+ (* 27 (/ (pow x.im 6) (pow x.re 2))) (* 243 (/ (pow x.im 10) (pow x.re 6)))))) (pow x.re 2))
(* -9 (/ (pow x.im 4) (pow x.re 2)))
(/ (+ (* -9 (pow x.im 4)) (* 27 (/ (pow x.im 6) (pow x.re 2)))) (pow x.re 2))
(/ (+ (* -81 (/ (pow x.im 8) (pow x.re 4))) (+ (* -9 (pow x.im 4)) (* 27 (/ (pow x.im 6) (pow x.re 2))))) (pow x.re 2))
(/ (+ (* -81 (/ (pow x.im 8) (pow x.re 4))) (+ (* -9 (pow x.im 4)) (+ (* 27 (/ (pow x.im 6) (pow x.re 2))) (* 243 (/ (pow x.im 10) (pow x.re 6)))))) (pow x.re 2))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 4))
(* 9 (pow x.im 2))
(* 9 (pow x.im 2))
(* 9 (pow x.im 2))
(* 9 (pow x.im 2))
(* 9 (pow x.im 2))
(* 9 (pow x.im 2))
(* 9 (pow x.im 2))
(* 9 (pow x.im 2))
(* 9 (pow x.im 2))
(* 9 (pow x.im 2))
(* 9 (pow x.im 2))
(* 9 (pow x.im 2))

Outputs
(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 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* (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 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* (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 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* 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 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))))
(* (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))
(+ (* -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)))))
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(/.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) x.re)
(/ (+ (* -9 (pow x.im 4)) (* 27 (/ (pow x.im 6) (pow x.re 2)))) x.re)
(/.f64 (+.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 x.re x.re))) x.re)
(/ (+ (* -81 (/ (pow x.im 8) (pow x.re 4))) (+ (* -9 (pow x.im 4)) (* 27 (/ (pow x.im 6) (pow x.re 2))))) x.re)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 x.re x.re)) (+.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) (/.f64 (.f64 #s(literal -81 binary64) (pow.f64 x.im #s(literal 8 binary64))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))))) x.re)
(/ (+ (* -81 (/ (pow x.im 8) (pow x.re 4))) (+ (* -9 (pow x.im 4)) (+ (* 27 (/ (pow x.im 6) (pow x.re 2))) (* 243 (/ (pow x.im 10) (pow x.re 6)))))) x.re)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 x.re x.re)) (+.f64 (/.f64 (.f64 #s(literal -81 binary64) (pow.f64 x.im #s(literal 8 binary64))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (+.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) (/.f64 (*.f64 #s(literal 243 binary64) (pow.f64 x.im #s(literal 10 binary64))) (pow.f64 x.re #s(literal 6 binary64)))))) x.re)
(* -9 (/ (pow x.im 4) x.re))
(/.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) x.re)
(* -1 (/ (+ (* -27 (/ (pow x.im 6) (pow x.re 2))) (* 9 (pow x.im 4))) x.re))
(/.f64 (+.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 x.re x.re))) x.re)
(* -1 (/ (+ (* -27 (/ (pow x.im 6) (pow x.re 2))) (+ (* 9 (pow x.im 4)) (* 81 (/ (pow x.im 8) (pow x.re 4))))) x.re))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 x.re x.re)) (+.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) (/.f64 (.f64 #s(literal -81 binary64) (pow.f64 x.im #s(literal 8 binary64))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))))) x.re)
(* -1 (/ (+ (* -243 (/ (pow x.im 10) (pow x.re 6))) (+ (* -27 (/ (pow x.im 6) (pow x.re 2))) (+ (* 9 (pow x.im 4)) (* 81 (/ (pow x.im 8) (pow x.re 4)))))) x.re))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 x.re x.re)) (+.f64 (/.f64 (.f64 #s(literal -81 binary64) (pow.f64 x.im #s(literal 8 binary64))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (+.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) (/.f64 (*.f64 #s(literal 243 binary64) (pow.f64 x.im #s(literal 10 binary64))) (pow.f64 x.re #s(literal 6 binary64)))))) x.re)
(* -9 (/ (pow x.im 4) x.re))
(/.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) x.re)
(* (pow x.im 4) (- (* 27 (/ (pow x.im 2) (pow x.re 3))) (* 9 (/ 1 x.re))))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (+.f64 (/.f64 #s(literal -9 binary64) x.re) (/.f64 (.f64 x.im (.f64 x.im #s(literal 27 binary64))) (.f64 x.re (.f64 x.re x.re)))))
(* (pow x.im 4) (- (* (pow x.im 2) (+ (* -81 (/ (pow x.im 2) (pow x.re 5))) (* 27 (/ 1 (pow x.re 3))))) (* 9 (/ 1 x.re))))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (+.f64 (.f64 x.im (.f64 x.im (+.f64 (/.f64 (.f64 x.im (.f64 x.im #s(literal -81 binary64))) (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) x.re)) (/.f64 #s(literal 27 binary64) (.f64 x.re (.f64 x.re x.re)))))) (/.f64 #s(literal -9 binary64) x.re)))
(* (pow x.im 4) (- (* (pow x.im 2) (+ (* (pow x.im 2) (- (* 243 (/ (pow x.im 2) (pow x.re 7))) (* 81 (/ 1 (pow x.re 5))))) (* 27 (/ 1 (pow x.re 3))))) (* 9 (/ 1 x.re))))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (+.f64 (.f64 x.im (.f64 x.im (+.f64 (/.f64 #s(literal 27 binary64) (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 (.f64 x.im x.im) #s(literal 243 binary64)) (pow.f64 x.re #s(literal 7 binary64))) (/.f64 #s(literal -81 binary64) (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) x.re))))))) (/.f64 #s(literal -9 binary64) x.re)))
(* -3 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* (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) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2)))))
(+.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 x.im (+.f64 (.f64 x.re #s(literal -3 binary64)) (/.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) x.re)) (.f64 x.im (.f64 x.im (*.f64 x.im x.im))))))))
(* (pow x.im 2) (+ (* -3 x.re) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (+ (* 1/9 (/ (pow x.re 7) (pow x.im 6))) (/ (pow x.re 3) (pow x.im 2))))))
(+.f64 (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.re #s(literal -3 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) x.re)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (/.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x.re #s(literal 7 binary64))) (pow.f64 x.im #s(literal 6 binary64)))))) (.f64 x.re (.f64 x.re x.re)))
(* -3 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* (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) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2)))))
(+.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 x.im (+.f64 (.f64 x.re #s(literal -3 binary64)) (/.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) x.re)) (.f64 x.im (.f64 x.im (*.f64 x.im x.im))))))))
(* (pow x.im 2) (+ (* -3 x.re) (+ (* -1/3 (/ (pow x.re 5) (pow x.im 4))) (+ (* 1/9 (/ (pow x.re 7) (pow x.im 6))) (/ (pow x.re 3) (pow x.im 2))))))
(+.f64 (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.re #s(literal -3 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) x.re)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (/.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x.re #s(literal 7 binary64))) (pow.f64 x.im #s(literal 6 binary64)))))) (.f64 x.re (.f64 x.re x.re)))
(* -9 (/ (pow x.im 4) (pow x.re 2)))
(/.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) (*.f64 x.re x.re))
(* (pow x.im 4) (- (* 27 (/ (pow x.im 2) (pow x.re 4))) (* 9 (/ 1 (pow x.re 2)))))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (+.f64 (/.f64 #s(literal -9 binary64) (.f64 x.re x.re)) (/.f64 (.f64 x.im (.f64 x.im #s(literal 27 binary64))) (.f64 x.re (.f64 x.re (.f64 x.re x.re))))))
(* (pow x.im 4) (- (* (pow x.im 2) (+ (* -81 (/ (pow x.im 2) (pow x.re 6))) (* 27 (/ 1 (pow x.re 4))))) (* 9 (/ 1 (pow x.re 2)))))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (+.f64 (.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 x.im (.f64 x.im #s(literal -81 binary64))) (pow.f64 x.re #s(literal 6 binary64))) (/.f64 #s(literal 27 binary64) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))))) (/.f64 #s(literal -9 binary64) (.f64 x.re x.re))))
(* (pow x.im 4) (- (* (pow x.im 2) (+ (* (pow x.im 2) (- (* 243 (/ (pow x.im 2) (pow x.re 8))) (* 81 (/ 1 (pow x.re 6))))) (* 27 (/ 1 (pow x.re 4))))) (* 9 (/ 1 (pow x.re 2)))))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (+.f64 (.f64 x.im (.f64 x.im (+.f64 (/.f64 #s(literal 27 binary64) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 (.f64 x.im x.im) #s(literal 243 binary64)) (pow.f64 x.re #s(literal 8 binary64))) (/.f64 #s(literal -81 binary64) (pow.f64 x.re #s(literal 6 binary64)))))))) (/.f64 #s(literal -9 binary64) (.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) (- (* -1/3 (/ (pow x.re 4) (pow x.im 4))) (+ 3 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 x.re (.f64 x.re (.f64 (.f64 x.re x.re) #s(literal -1/3 binary64)))) (.f64 x.im (.f64 x.im (.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) (- (* 1/9 (/ (pow x.re 6) (pow x.im 6))) (+ 3 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (* 1/3 (/ (pow x.re 4) (pow x.im 4)))))))
(.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x.re #s(literal 6 binary64))) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 (/.f64 (.f64 x.re (.f64 x.re (.f64 (.f64 x.re x.re) #s(literal -1/3 binary64)))) (.f64 x.im (.f64 x.im (.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))))
(* (pow x.im 2) (- (* -1/3 (/ (pow x.re 4) (pow x.im 4))) (+ 3 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 x.re (.f64 x.re (.f64 (.f64 x.re x.re) #s(literal -1/3 binary64)))) (.f64 x.im (.f64 x.im (.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) (- (* 1/9 (/ (pow x.re 6) (pow x.im 6))) (+ 3 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (* 1/3 (/ (pow x.re 4) (pow x.im 4)))))))
(.f64 (.f64 x.im x.im) (+.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x.re #s(literal 6 binary64))) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 (/.f64 (.f64 x.re (.f64 x.re (.f64 (.f64 x.re x.re) #s(literal -1/3 binary64)))) (.f64 x.im (.f64 x.im (.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))
(+ (* -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) (+ 1 (* -1/3 (/ (pow x.re 2) (pow x.im 2))))))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 x.re x.re) #s(literal -1/3 binary64)) x.im) x.im)))))
(+ (* -3 (pow x.im 2)) (* (pow x.re 2) (+ 1 (* (pow x.re 2) (- (* 1/9 (/ (pow x.re 2) (pow x.im 4))) (* 1/3 (/ 1 (pow x.im 2))))))))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re (.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 x.re (.f64 x.re #s(literal 1/9 binary64))) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (/.f64 #s(literal -1/3 binary64) (.f64 x.im x.im))))))))
(* -9 (/ (pow x.im 4) (pow x.re 2)))
(/.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) (*.f64 x.re x.re))
(/ (+ (* -9 (pow x.im 4)) (* 27 (/ (pow x.im 6) (pow x.re 2)))) (pow x.re 2))
(/.f64 (+.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 x.re x.re))) (*.f64 x.re x.re))
(/ (+ (* -81 (/ (pow x.im 8) (pow x.re 4))) (+ (* -9 (pow x.im 4)) (* 27 (/ (pow x.im 6) (pow x.re 2))))) (pow x.re 2))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 x.re x.re)) (+.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) (/.f64 (.f64 #s(literal -81 binary64) (pow.f64 x.im #s(literal 8 binary64))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))))) (*.f64 x.re x.re))
(/ (+ (* -81 (/ (pow x.im 8) (pow x.re 4))) (+ (* -9 (pow x.im 4)) (+ (* 27 (/ (pow x.im 6) (pow x.re 2))) (* 243 (/ (pow x.im 10) (pow x.re 6)))))) (pow x.re 2))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 x.re x.re)) (+.f64 (/.f64 (.f64 #s(literal -81 binary64) (pow.f64 x.im #s(literal 8 binary64))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (+.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) (/.f64 (.f64 #s(literal 243 binary64) (pow.f64 x.im #s(literal 10 binary64))) (pow.f64 x.re #s(literal 6 binary64)))))) (.f64 x.re x.re))
(* -9 (/ (pow x.im 4) (pow x.re 2)))
(/.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) (*.f64 x.re x.re))
(/ (+ (* -9 (pow x.im 4)) (* 27 (/ (pow x.im 6) (pow x.re 2)))) (pow x.re 2))
(/.f64 (+.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 x.re x.re))) (*.f64 x.re x.re))
(/ (+ (* -81 (/ (pow x.im 8) (pow x.re 4))) (+ (* -9 (pow x.im 4)) (* 27 (/ (pow x.im 6) (pow x.re 2))))) (pow x.re 2))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 x.re x.re)) (+.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) (/.f64 (.f64 #s(literal -81 binary64) (pow.f64 x.im #s(literal 8 binary64))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))))) (*.f64 x.re x.re))
(/ (+ (* -81 (/ (pow x.im 8) (pow x.re 4))) (+ (* -9 (pow x.im 4)) (+ (* 27 (/ (pow x.im 6) (pow x.re 2))) (* 243 (/ (pow x.im 10) (pow x.re 6)))))) (pow x.re 2))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 x.re x.re)) (+.f64 (/.f64 (.f64 #s(literal -81 binary64) (pow.f64 x.im #s(literal 8 binary64))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (+.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) (/.f64 (.f64 #s(literal 243 binary64) (pow.f64 x.im #s(literal 10 binary64))) (pow.f64 x.re #s(literal 6 binary64)))))) (.f64 x.re x.re))
(* 9 (pow x.im 4))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))
(* 9 (pow x.im 4))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))
(* 9 (pow x.im 4))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))
(* 9 (pow x.im 4))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))
(* 9 (pow x.im 4))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))
(* 9 (pow x.im 4))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))
(* 9 (pow x.im 4))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))
(* 9 (pow x.im 4))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))
(* 9 (pow x.im 4))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))
(* 9 (pow x.im 4))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))
(* 9 (pow x.im 4))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))
(* 9 (pow x.im 4))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))
(* 9 (pow x.im 2))
(.f64 (.f64 x.im x.im) #s(literal 9 binary64))
(* 9 (pow x.im 2))
(.f64 (.f64 x.im x.im) #s(literal 9 binary64))
(* 9 (pow x.im 2))
(.f64 (.f64 x.im x.im) #s(literal 9 binary64))
(* 9 (pow x.im 2))
(.f64 (.f64 x.im x.im) #s(literal 9 binary64))
(* 9 (pow x.im 2))
(.f64 (.f64 x.im x.im) #s(literal 9 binary64))
(* 9 (pow x.im 2))
(.f64 (.f64 x.im x.im) #s(literal 9 binary64))
(* 9 (pow x.im 2))
(.f64 (.f64 x.im x.im) #s(literal 9 binary64))
(* 9 (pow x.im 2))
(.f64 (.f64 x.im x.im) #s(literal 9 binary64))
(* 9 (pow x.im 2))
(.f64 (.f64 x.im x.im) #s(literal 9 binary64))
(* 9 (pow x.im 2))
(.f64 (.f64 x.im x.im) #s(literal 9 binary64))
(* 9 (pow x.im 2))
(.f64 (.f64 x.im x.im) #s(literal 9 binary64))
(* 9 (pow x.im 2))
(.f64 (.f64 x.im x.im) #s(literal 9 binary64))

eval789.0ms (3.8%)

Compiler: Compiled 24921 to 2519 computations (89.9% saved)

prune358.0ms (1.7%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	1226	3	1229
Fresh	1	2	3
Picked	3	2	5
Done	0	5	5
Total	1230	12	1242

Accuracy

100.0%

Counts

1242 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.9%	(/.f64 x.re (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))
	62.7%	(/.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
✓	89.4%	(.f64 (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im)) x.re)
	54.1%	(.f64 (.f64 (/.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im) (*.f64 x.im x.re)) x.im)
	51.1%	(.f64 (.f64 (/.f64 x.re #s(literal -1/3 binary64)) x.im) x.im)
	49.0%	(.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
✓	32.4%	(.f64 (.f64 x.re (/.f64 x.re (.f64 x.im x.im))) (.f64 x.re (*.f64 x.im x.im)))
	96.0%	(.f64 (.f64 x.im (+.f64 (/.f64 x.re (/.f64 x.im x.re)) (*.f64 x.im #s(literal -3 binary64)))) x.re)
✓	91.0%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))
✓	76.5%	(.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 (/.f64 x.re x.im) x.re) x.im))))
✓	62.7%	(.f64 x.re (.f64 x.re x.re))
✓	51.2%	(.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re)))

Compiler

Compiled 774 to 231 computations (70.2% saved)

regimes50.0ms (0.2%)

Counts

33 → 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 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
(.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(.f64 (.f64 (/.f64 x.re #s(literal -1/3 binary64)) x.im) x.im)
(/.f64 x.re (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)))
(/.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))
(.f64 (.f64 x.im (+.f64 (/.f64 x.re (/.f64 x.im x.re)) (*.f64 x.im #s(literal -3 binary64)))) x.re)
(.f64 (.f64 x.re (/.f64 x.re (.f64 x.im x.im))) (.f64 x.re (*.f64 x.im x.im)))
(.f64 (.f64 (/.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im) (*.f64 x.im x.re)) x.im)
(/.f64 x.re (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))
(.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
(.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 (/.f64 x.re x.im) x.re) x.im))))
(.f64 (.f64 x.re x.im) (.f64 x.im (+.f64 #s(literal -3 binary64) (.f64 x.re (/.f64 x.re (*.f64 x.im x.im))))))
(.f64 (+.f64 #s(literal -3 binary64) (.f64 x.re (/.f64 x.re (.f64 x.im x.im)))) (.f64 x.re (*.f64 x.im x.im)))
(.f64 (+.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 (/.f64 x.re (/.f64 x.im x.re)) 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 x.re (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x.im (/.f64 x.im (*.f64 x.re x.re))))) x.re) x.re))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.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 x.re (/.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.re x.re))))
(.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))))
(.f64 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))))))
(.f64 (-.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (.f64 x.re x.re))) x.re))
(/.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)))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)))
(/.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 (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)))))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) 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 x.im (+.f64 (/.f64 x.re (/.f64 x.im x.re)) (*.f64 x.im #s(literal -3 binary64)))) x.re)

Calls

3 calls:

18.0ms	(-.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))
13.0ms	x.re
13.0ms	x.im

Results

Accuracy	Segments	Branch
99.8%	3	`x.re`
97.6%	2	`x.im`
99.8%	3	`(-.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)

regimes12.0ms (0.1%)

Counts

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

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 x.im) #s(literal -3 binary64))))

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

Calls

1 calls:

9.0ms

x.re

Results

Accuracy	Segments	Branch
99.8%	3	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts

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

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

Calls

2 calls:

6.0ms	x.re
5.0ms	x.im

Results

Accuracy	Segments	Branch
96.7%	2	`x.im`
96.3%	3	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts

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

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:

5.0ms	x.re
5.0ms	x.im

Results

Accuracy	Segments	Branch
77.7%	2	`x.re`
83.3%	2	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (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:

2.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
62.7%	1	`x.re`
62.7%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.519927723721678e+307	+inf
0.0ms	-inf	-1.2012019546052119e+287

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch74.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	4.024830485248635e+102	5.090563914824048e+105
65.0ms	2.5561268367839174e-107	1.1001118095091618e-105

Results

26.0ms

128×

valid

Compiler

Compiled 224 to 146 computations (34.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 14.0ms (75.8% of total)

ival-sub: 3.0ms (16.2% of total)

ival-add: 1.0ms (5.4% of total)

const: 0.0ms (0% of total)

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

bsearch49.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
44.0ms	1.1307456895859872e+144	7.0031260956063965e+149

Results

31.0ms

144×

valid

Compiler

Compiled 242 to 159 computations (34.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 17.0ms (76.5% of total)

ival-sub: 3.0ms (13.5% of total)

ival-add: 2.0ms (9% of total)

const: 0.0ms (0% of total)

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

bsearch44.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
38.0ms	826717435.7908939	991320455737.05

Results

26.0ms

128×

valid

Compiler

Compiled 170 to 111 computations (34.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 14.0ms (75.5% of total)

ival-sub: 3.0ms (16.2% of total)

ival-add: 1.0ms (5.4% of total)

const: 0.0ms (0% of total)

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

simplify27.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

44×	`*-commutative_binary64`
30×	`+-commutative_binary64`
24×	`sub-neg_binary64`
18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	163
1	77	163
2	111	163
3	135	163
4	148	163
5	151	163

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 #s(literal -3 binary64) (.f64 x.im (.f64 x.im x.re))) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 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 x.im (+.f64 (/.f64 x.re (/.f64 x.im x.re)) (*.f64 x.im #s(literal -3 binary64)))) x.re)))
(if (<=.f64 x.re #s(literal 8263199609878107/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) (.f64 #s(literal -3 binary64) (.f64 x.im (.f64 x.im x.re))) (if (<=.f64 x.re #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))) (.f64 (.f64 x.im (+.f64 (/.f64 x.re (/.f64 x.im x.re)) (.f64 x.im #s(literal -3 binary64)))) x.re)))
(if (<=.f64 x.im #s(literal 700000000000000022926853535486506740867374404221449872845883401473773092617084967115373193701250972683443977874501481846523002945154779440493442891776 binary64)) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))) (.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re))))
(if (<=.f64 x.im #s(literal 800000000000 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 #s(literal -3 binary64) (.f64 x.im (.f64 x.im x.re))) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 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 x.im (+.f64 (/.f64 x.re (/.f64 x.im x.re)) (*.f64 x.im #s(literal -3 binary64)))) x.re)))
(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 #s(literal -3 binary64) (.f64 x.im (.f64 x.re 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 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 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 x.re (.f64 x.im (+.f64 (/.f64 x.re (/.f64 x.im x.re)) (*.f64 x.im #s(literal -3 binary64)))))))
(if (<=.f64 x.re #s(literal 8263199609878107/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) (.f64 #s(literal -3 binary64) (.f64 x.im (.f64 x.im x.re))) (if (<=.f64 x.re #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))) (.f64 (.f64 x.im (+.f64 (/.f64 x.re (/.f64 x.im x.re)) (.f64 x.im #s(literal -3 binary64)))) x.re)))
(if (<=.f64 x.re #s(literal 8263199609878107/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) (.f64 #s(literal -3 binary64) (.f64 x.im (.f64 x.re x.im))) (if (<=.f64 x.re #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))) (.f64 x.re (.f64 x.im (+.f64 (/.f64 x.re (/.f64 x.im x.re)) (.f64 x.im #s(literal -3 binary64)))))))
(if (<=.f64 x.im #s(literal 700000000000000022926853535486506740867374404221449872845883401473773092617084967115373193701250972683443977874501481846523002945154779440493442891776 binary64)) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))) (.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re))))
(if (<=.f64 x.im #s(literal 700000000000000022926853535486506740867374404221449872845883401473773092617084967115373193701250972683443977874501481846523002945154779440493442891776 binary64)) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im 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 800000000000 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 800000000000 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))

soundness4.6s (22%)

Rules

4650×	`/-lowering-/.f32`
4650×	`/-lowering-/.f64`
4408×	`-lowering-.f32`
4408×	`-lowering-.f64`
4334×	`-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	31	201
1	214	162
2	2046	160
0	9545	160
0	36	188
1	211	164
2	1756	162
0	8203	162
0	11	16
1	33	15
2	81	15
3	263	11
4	910	10
5	5377	10
0	8193	10
0	15	73
1	112	64
0	925	64
0	25	142
1	138	128
2	1038	122
0	8372	122

Stop Event

1×	fuel
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 356 to 167 computations (53.1% saved)

preprocess386.0ms (1.9%)

Remove: (abs x.im)
Compiler: Compiled 908 to 308 computations (66.1% saved)

analyze1.0ms (0%)

sample2.7s (13.1%)

preprocess457.0ms (2.2%)

explain334.0ms (1.6%)

eval1.0ms (0%)

prune3.0ms (0%)

simplify387.0ms (1.9%)

localize181.0ms (0.9%)

series64.0ms (0.3%)

rewrite219.0ms (1.1%)

simplify639.0ms (3.1%)

eval101.0ms (0.5%)

prune80.0ms (0.4%)

simplify498.0ms (2.4%)

localize540.0ms (2.6%)

series144.0ms (0.7%)

rewrite1.0s (5%)

simplify534.0ms (2.6%)

eval584.0ms (2.8%)

prune314.0ms (1.5%)

simplify414.0ms (2%)

localize426.0ms (2%)

series63.0ms (0.3%)

rewrite900.0ms (4.3%)

simplify635.0ms (3.1%)

eval473.0ms (2.3%)

prune311.0ms (1.5%)

simplify587.0ms (2.8%)

localize331.0ms (1.6%)

series26.0ms (0.1%)

rewrite782.0ms (3.8%)

simplify605.0ms (2.9%)

eval789.0ms (3.8%)

prune358.0ms (1.7%)

regimes50.0ms (0.2%)

regimes12.0ms (0.1%)

regimes13.0ms (0.1%)

regimes13.0ms (0.1%)

regimes5.0ms (0%)

bsearch1.0ms (0%)

bsearch74.0ms (0.4%)

bsearch49.0ms (0.2%)

bsearch44.0ms (0.2%)

simplify27.0ms (0.1%)

soundness4.6s (22%)

preprocess386.0ms (1.9%)

end0.0ms (0%)

Profiling