Metrics for math.cube on complex, imaginary part

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 12 computations (45.5% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample1.2s (13.1%)

Results

915.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 613.0ms

ival-mult: 457.0ms (74.5% of total)

ival-add: 101.0ms (16.5% of total)

ival-sub: 46.0ms (7.5% of total)

const: 7.0ms (1.1% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess256.0ms (2.9%)

Algorithm

2×	egg-herbie

Rules

2576×	`+-lowering-+.f64`
2576×	`+-lowering-+.f32`
1618×	`fnmadd-define`
1464×	`-lowering-.f32`
1464×	`-lowering-.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	36	96
1	137	86
2	397	78
3	1838	62
4	7895	60
0	11	15
1	30	14
2	66	13
3	179	10
4	482	9
5	2059	8
6	3275	8
7	7650	8
0	8110	8

Stop Event

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

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs x.re)

(negabs x.im)

explain134.0ms (1.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
23	-	-	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
17	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`
9	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
0	-	-	`x.im`
0	-	-	`x.re`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`
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

89.0ms

512×

valid

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 53.0ms (86.8% of total)

ival-add: 5.0ms (8.2% of total)

ival-sub: 3.0ms (4.9% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.1%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	90.1%	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))

Status

Accuracy

Program

▶

83.1%

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

▶

90.1%

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

Compiler

Compiled 34 to 19 computations (44.1% saved)

simplify178.0ms (2%)

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

Rules

2236×	`+-lowering-+.f64`
2236×	`+-lowering-+.f32`
1742×	`--lowering--.f32`
1742×	`--lowering--.f64`
1638×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	75
1	43	70
2	92	69
3	235	69
4	590	69
5	2258	69
6	3531	69
0	8164	69

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize108.0ms (1.2%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	96.8%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	93.6%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	accuracy	90.9%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
✓	accuracy	96.8%	(-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
✓	accuracy	93.6%	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))

Results

75.0ms

256×

valid

Compiler

Compiled 102 to 17 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 42.0ms (89.4% of total)

ival-sub: 2.0ms (4.3% of total)

ival-add: 2.0ms (4.3% of total)

const: 0.0ms (0% of total)

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

series19.0ms (0.2%)

Counts

10 → 204

Calls

Call 1

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

Outputs
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* -1 (pow x.im 2))>
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))>
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))>
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* 3 (pow x.re 2))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* 3 (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<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 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (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
4.0ms	x.re	@	inf	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms	x.re	@	0	(+ (* x.re x.im) (* x.im x.re))
1.0ms	x.im	@	0	(* x.im (- (* x.re (* x.re 3)) (* x.im x.im)))
1.0ms	x.re	@	0	(* x.re 3)
1.0ms	x.re	@	0	(* x.im (- (* x.re (* x.re 3)) (* x.im x.im)))

rewrite88.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

470×	`-lowering-.f32`
470×	`-lowering-.f64`
254×	`+-lowering-+.f64`
254×	`+-lowering-+.f32`
218×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	66
1	102	55
0	833	55

Stop Event

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

Counts

10 → 122

Calls

Call 1

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

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

simplify224.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

4114×	`-lowering-.f32`
4114×	`-lowering-.f64`
1888×	`fnmadd-define`
1578×	`+-lowering-+.f64`
1578×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	78	1509
1	254	1236
2	800	1206
3	3574	1206
0	8819	1206

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

eval44.0ms (0.5%)

Compiler: Compiled 7311 to 458 computations (93.7% saved)

prune28.0ms (0.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	332	10	342
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	333	11	344

Accuracy

99.9%

Counts

344 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.5%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) #s(literal 27 binary64)) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) x.im) (+.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 (.f64 x.im x.im) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))))
▶	39.3%	(/.f64 (.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) x.im) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
▶	59.8%	(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
▶	83.1%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 x.im (.f64 #s(literal 2 binary64) (.f64 x.re x.re))))
▶	90.7%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	46.3%	(+.f64 (.f64 (.f64 x.re x.re) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	52.5%	(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
	43.1%	(.f64 x.im (/.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
	18.5%	(.f64 x.im (/.f64 (+.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) #s(literal 27 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (-.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 (.f64 x.re #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))))))
✓	90.1%	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
▶	46.4%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))

Compiler

Compiled 529 to 266 computations (49.7% saved)

simplify187.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64))
✓	cost-diff	0	(-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (*.f64 x.im x.im))))
✓	cost-diff	0	(.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) x.im)
✓	cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) x.im) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	cost-diff	384	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 x.im (.f64 #s(literal 2 binary64) (.f64 x.re x.re))))
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(.f64 x.im (.f64 x.im x.im))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
✓	cost-diff	0	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
✓	cost-diff	0	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
✓	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	cost-diff	512	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Rules

2162×	`--lowering--.f32`
2162×	`--lowering--.f64`
2034×	`-lowering-.f32`
2034×	`-lowering-.f64`
1924×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	222
1	104	195
2	247	187
3	690	183
4	1994	181
5	4883	181
0	8502	181

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(* (+ x.im x.re) (* (- x.re x.im) x.im))
(+ x.im x.re)
x.im
x.re
(* (- x.re x.im) x.im)
(- x.re x.im)
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(+ (* x.re x.im) (* x.im x.re))
(* x.re x.im)
(* x.im x.re)
(* x.im (* 3 (* x.re x.re)))
x.im
(* 3 (* x.re x.re))
3
(* x.re x.re)
x.re
(- 0 (* x.im (* x.im x.im)))
0
(* x.im (* x.im x.im))
x.im
(* x.im x.im)
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.im (* 2 (* x.re x.re))))
(* (- (* x.re x.re) (* x.im x.im)) x.im)
(- (* x.re x.re) (* x.im x.im))
(* x.re x.re)
x.re
(* x.im x.im)
x.im
(* x.im (* 2 (* x.re x.re)))
(* 2 (* x.re x.re))
2
(/ (* (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) x.im) (+ (* x.re (* x.re 3)) (* x.im x.im)))
(* (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) x.im)
(- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im))))
(* (* x.re (* x.re (* x.re x.re))) 9)
(* x.re (* x.re (* x.re x.re)))
x.re
(* x.re (* x.re x.re))
(* x.re x.re)
9
(* x.im (* x.im (* x.im x.im)))
x.im
(* x.im (* x.im x.im))
(* x.im x.im)
(+ (* x.re (* x.re 3)) (* x.im x.im))
(* x.re (* x.re 3))
(* x.re 3)
3

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

localize151.0ms (1.7%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
✓	accuracy	97.3%	(.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) x.im)
✓	accuracy	88.2%	(-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (*.f64 x.im x.im))))
✓	accuracy	47.1%	(/.f64 (.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) x.im) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
✓	accuracy	96.8%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	93.6%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	accuracy	90.9%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 x.im (.f64 #s(literal 2 binary64) (.f64 x.re x.re))))
✓	accuracy	85.4%	(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
✓	accuracy	85.4%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
✓	accuracy	100.0%	(*.f64 (-.f64 x.re x.im) x.im)
✓	accuracy	99.8%	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
✓	accuracy	99.7%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	90.9%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Results

99.0ms

256×

valid

Compiler

Compiled 280 to 37 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 36.0ms (63% of total)

ival-sub: 12.0ms (21% of total)

ival-add: 6.0ms (10.5% of total)

ival-div: 2.0ms (3.5% of total)

const: 1.0ms (1.7% of total)

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

series21.0ms (0.2%)

Counts

20 → 396

Calls

Call 1

Inputs
#<alt (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))>
#<alt (* (+ (* x.re x.im) (* x.im x.re)) x.re)>
#<alt (+ (* x.re x.im) (* x.im x.re))>
#<alt (* (+ x.im x.re) (* (- x.re x.im) x.im))>
#<alt (* x.im (* 3 (* x.re x.re)))>
#<alt (* 3 (* x.re x.re))>
#<alt (* x.re x.re)>
#<alt (- 0 (* x.im (* x.im x.im)))>
#<alt (* x.im (* x.im x.im))>
#<alt (* x.im x.im)>
#<alt (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.im (* 2 (* x.re x.re))))>
#<alt (* (- (* x.re x.re) (* x.im x.im)) x.im)>
#<alt (- (* x.re x.re) (* x.im x.im))>
#<alt (/ (* (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) x.im) (+ (* x.re (* x.re 3)) (* x.im x.im)))>
#<alt (* (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) x.im)>
#<alt (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im))))>
#<alt (* (* x.re (* x.re (* x.re x.re))) 9)>
#<alt (* (- x.re x.im) x.im)>
#<alt (* x.im (* 2 (* x.re x.re)))>
#<alt (* x.re (* x.re 3))>

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

Calls

99 calls:

Time	Variable		Point	Expression
5.0ms	x.re	@	inf	(/ (* (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) x.im) (+ (* x.re (* x.re 3)) (* x.im x.im)))
1.0ms	x.re	@	0	(/ (* (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) x.im) (+ (* x.re (* x.re 3)) (* x.im x.im)))
1.0ms	x.im	@	0	(/ (* (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) x.im) (+ (* x.re (* x.re 3)) (* x.im x.im)))
1.0ms	x.im	@	inf	(/ (* (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) x.im) (+ (* x.re (* x.re 3)) (* x.im x.im)))
0.0ms	x.im	@	inf	(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite399.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3374×	`-lowering-.f32`
3374×	`-lowering-.f64`
2912×	`/-lowering-/.f32`
2912×	`/-lowering-/.f64`
2426×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	153
1	232	118
2	1943	117
0	9065	117

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 751

Calls

Call 1

Inputs
(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(+ (* x.re x.im) (* x.im x.re))
(* (+ x.im x.re) (* (- x.re x.im) x.im))
(* x.im (* 3 (* x.re x.re)))
(* 3 (* x.re x.re))
(* x.re x.re)
(- 0 (* x.im (* x.im x.im)))
(* x.im (* x.im x.im))
(* x.im x.im)
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.im (* 2 (* x.re x.re))))
(* (- (* x.re x.re) (* x.im x.im)) x.im)
(- (* x.re x.re) (* x.im x.im))
(/ (* (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) x.im) (+ (* x.re (* x.re 3)) (* x.im x.im)))
(* (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) x.im)
(- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im))))
(* (* x.re (* x.re (* x.re x.re))) 9)
(* (- x.re x.im) x.im)
(* x.im (* 2 (* x.re x.re)))
(* x.re (* x.re 3))

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

simplify287.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2658×	`-lowering-.f32`
2658×	`-lowering-.f64`
2204×	`+-lowering-+.f64`
2204×	`+-lowering-+.f32`
1302×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	203	3865
1	719	3040
2	2615	2580
0	8664	2580

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

eval183.0ms (2%)

Compiler: Compiled 43468 to 2791 computations (93.6% saved)

prune187.0ms (2.1%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	1314	15	1329
Fresh	5	0	5
Picked	3	2	5
Done	0	1	1
Total	1322	18	1340

Accuracy

100.0%

Counts

1340 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.9%	(pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64))
	20.3%	(/.f64 (-.f64 (.f64 x.im (.f64 (.f64 (.f64 x.re x.re) #s(literal 2 binary64)) (.f64 x.im (.f64 (.f64 x.re x.re) #s(literal 2 binary64))))) (.f64 x.im (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))) (-.f64 (.f64 x.im (.f64 (.f64 x.re x.re) #s(literal 2 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))
	10.4%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (.f64 x.im (*.f64 x.im x.im)))
✓	39.3%	(/.f64 (.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) x.im) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
	90.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))))
▶	25.6%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im x.im))) (.f64 x.im x.im)) (/.f64 x.im x.im)))
	27.9%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 x.im x.im)) (/.f64 (.f64 x.im x.im) x.im)))
▶	90.4%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
	62.0%	(+.f64 (.f64 x.re (.f64 x.re (-.f64 x.im (/.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re x.re))))) (.f64 x.im (.f64 #s(literal 2 binary64) (.f64 x.re x.re))))
	52.5%	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
	46.4%	(.f64 (.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
▶	62.2%	(.f64 (.f64 x.re x.re) (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
▶	46.4%	(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
	52.5%	(.f64 (.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re))
	52.5%	(.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
✓	90.1%	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
✓	46.4%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
▶	59.8%	(neg.f64 (.f64 x.im (.f64 x.im x.im)))

Compiler

Compiled 565 to 289 computations (48.8% saved)

simplify184.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(/.f64 x.im x.im)
✓	cost-diff	512	(/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im x.im))) (*.f64 x.im x.im))
✓	cost-diff	768	(.f64 (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im x.im))) (.f64 x.im x.im)) (/.f64 x.im x.im))
✓	cost-diff	768	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im x.im))) (.f64 x.im x.im)) (/.f64 x.im x.im)))
✓	cost-diff	0	(-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)))
✓	cost-diff	0	(.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(.f64 (.f64 x.re x.re) (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
✓	cost-diff	0	(*.f64 x.im #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
✓	cost-diff	-64	(neg.f64 (.f64 x.im (.f64 x.im x.im)))
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(.f64 x.im (.f64 x.im x.im))
✓	cost-diff	0	(*.f64 (-.f64 x.re x.im) x.im)
✓	cost-diff	0	(+.f64 x.im x.re)
✓	cost-diff	0	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
✓	cost-diff	128	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))

Rules

2630×	`-lowering-.f32`
2630×	`-lowering-.f64`
2474×	`+-lowering-+.f64`
2474×	`+-lowering-+.f32`
1224×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	141
1	95	135
2	303	134
3	1099	131
4	3341	131
5	7770	131
0	8045	131

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize165.0ms (1.8%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.9%	(.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im x.im)))
✓	accuracy	99.8%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	51.2%	(/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im x.im))) (*.f64 x.im x.im))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.1%	(.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
✓	accuracy	79.2%	(/.f64 (.f64 x.im x.im) (.f64 x.re x.re))
✓	accuracy	70.3%	(.f64 (.f64 x.re x.re) (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
✓	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	100.0%	(*.f64 x.im #s(literal 3 binary64))
✓	accuracy	84.9%	(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	100.0%	(neg.f64 (.f64 x.im (.f64 x.im x.im)))
✓	accuracy	99.8%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	99.8%	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
✓	accuracy	99.7%	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
✓	accuracy	99.6%	(*.f64 x.re (+.f64 x.im x.im))
✓	accuracy	90.9%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))

Results

91.0ms	234×	0	valid
14.0ms	5×	4	valid
6.0ms	8×	2	valid
3.0ms	6×	1	valid
3.0ms	3×	3	valid

Compiler

Compiled 210 to 28 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 29.0ms (60.5% of total)

ival-div: 5.0ms (10.4% of total)

ival-sub: 4.0ms (8.3% of total)

ival-add: 4.0ms (8.3% of total)

backward-pass: 3.0ms (6.3% of total)

ival-neg: 2.0ms (4.2% of total)

const: 1.0ms (2.1% of total)

series14.0ms (0.2%)

Counts

21 → 384

Calls

Call 1

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

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

Calls

96 calls:

Time	Variable		Point	Expression
2.0ms	x.im	@	0	(- 0 (* (/ (* (* x.im x.im) (* x.im (* x.im x.im))) (* x.im x.im)) (/ x.im x.im)))
1.0ms	x.im	@	inf	(* (* x.re x.re) (* x.im (- 3 (/ (* x.im x.im) (* x.re x.re)))))
1.0ms	x.re	@	0	(* (* x.re x.re) (* x.im (- 3 (/ (* x.im x.im) (* x.re x.re)))))
1.0ms	x.im	@	0	(* (* x.re x.re) (* x.im (- 3 (/ (* x.im x.im) (* x.re x.re)))))
0.0ms	x.re	@	inf	(* (* x.re x.re) (* x.im (- 3 (/ (* x.im x.im) (* x.re x.re)))))

rewrite429.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3544×	`-lowering-.f32`
3544×	`-lowering-.f64`
3052×	`/-lowering-/.f32`
3052×	`/-lowering-/.f64`
2078×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	115
1	178	102
2	1537	102
0	8863	102

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 942

Calls

Call 1

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

Outputs
(+.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im))))
(-.f64 (/.f64 (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.im x.re) (.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im))))) (-.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))) (/.f64 (.f64 x.re (.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))) (-.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))))
(-.f64 (/.f64 (.f64 x.re (.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im))))) (/.f64 (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.im x.re) (.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im))))) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im))))))
(fma.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))
(fma.f64 x.re (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))))
(fma.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re x.re)))
(fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.im x.re)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re x.re)))
(fma.f64 (.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.re) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re x.re)))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re) (.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))))
(fma.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) x.re (.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))))
(fma.f64 (.f64 x.re x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))))
(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))
(fma.f64 (.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re x.re)))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im))) (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.im x.re) (.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im)))))) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))))) (+.f64 (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.im x.re) (.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im))))) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im)))))))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im))) (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.im x.re) (.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im)))))) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))))) (+.f64 (.f64 x.re (.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))) (-.f64 (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.im x.re) (.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im))))) (.f64 (+.f64 x.im x.re) (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re x.re)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.im x.re) (.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im))))) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im)))))) (+.f64 (.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im))) (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.im x.re) (.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im)))))) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re))) (-.f64 (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.im x.re) (.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im))))) (.f64 x.re (.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))))))
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(*.f64 x.im (+.f64 x.re x.re))
(*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.re #s(literal 2 binary64)) x.im)
(+.f64 (.f64 x.im (.f64 x.re x.re)) (.f64 x.im (.f64 x.re x.re)))
(+.f64 (.f64 (.f64 x.im x.re) x.re) (.f64 (.f64 x.im x.re) x.re))
(fma.f64 x.im (.f64 x.re x.re) (.f64 x.im (*.f64 x.re x.re)))
(fma.f64 x.re (.f64 x.im x.re) (.f64 x.im (*.f64 x.re x.re)))
(fma.f64 (.f64 x.re x.re) x.im (.f64 x.im (*.f64 x.re x.re)))
(fma.f64 (.f64 x.im x.re) x.re (.f64 (*.f64 x.im x.re) x.re))
(/.f64 (+.f64 (pow.f64 (.f64 x.im (.f64 x.re x.re)) #s(literal 3 binary64)) (pow.f64 (.f64 x.im (.f64 x.re x.re)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x.im (.f64 x.re x.re)) (.f64 x.im (.f64 x.re x.re))) (-.f64 (.f64 (.f64 x.im (.f64 x.re x.re)) (.f64 x.im (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.re x.re)) (.f64 x.im (*.f64 x.re x.re))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x.im x.re) x.re) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x.im x.re) x.re) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x.im x.re) x.re) (.f64 (.f64 x.im x.re) x.re)) (-.f64 (.f64 (.f64 (.f64 x.im x.re) x.re) (.f64 (.f64 x.im x.re) x.re)) (.f64 (.f64 (.f64 x.im x.re) x.re) (.f64 (*.f64 x.im x.re) x.re)))))
(.f64 x.re (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))
(.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re))
(.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) x.re)
(.f64 (.f64 x.re x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x.im x.re)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 x.im) #s(literal 2 binary64)) (.f64 (log.f64 x.re) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 x.re x.re))) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
(/.f64 (.f64 x.im x.im) (.f64 x.re x.re))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (.f64 x.re x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x.re (/.f64 (*.f64 x.im x.im) x.re)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x.re (/.f64 (*.f64 x.im x.im) x.re))))
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x.re x.re))))
(/.f64 (neg.f64 (/.f64 (*.f64 x.im x.im) x.re)) (neg.f64 x.re))
(/.f64 (*.f64 (/.f64 x.im x.re) x.im) x.re)
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x.re x.re)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 x.im x.im) x.re))) (neg.f64 (neg.f64 x.re)))
(/.f64 (neg.f64 (*.f64 (/.f64 x.im x.re) x.im)) (neg.f64 x.re))
(pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))
(pow.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x.re (/.f64 (*.f64 x.im x.im) x.re)) #s(literal -1 binary64))
(.f64 x.im (/.f64 x.im (.f64 x.re x.re)))
(.f64 (.f64 x.im x.im) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(.f64 (.f64 x.im x.im) (pow.f64 (/.f64 #s(literal 1 binary64) x.re) #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x.re x.re))))
(*.f64 (/.f64 x.im x.re) (/.f64 x.im x.re))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x.re x.re)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x.im x.im) x.re) (/.f64 #s(literal 1 binary64) x.re))
(.f64 (/.f64 x.im (.f64 x.re x.re)) x.im)
(.f64 (/.f64 x.im #s(literal 1 binary64)) (/.f64 x.im (.f64 x.re x.re)))
(.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 (.f64 x.im x.im) x.re))
(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 (-.f64 #s(literal 0 binary64) x.im) x.re))
(.f64 (/.f64 x.im #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x.im) (.f64 x.re x.re)))
(.f64 (/.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im x.im) (neg.f64 x.re)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x.im) x.re) (/.f64 x.im (neg.f64 x.re)))
(.f64 (/.f64 (.f64 x.im (*.f64 x.im x.im)) x.re) (/.f64 (/.f64 #s(literal 1 binary64) x.im) x.re))
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 5 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x.im) #s(literal 2 binary64)) (.f64 (log.f64 x.im) #s(literal 3 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 x.im) #s(literal 3 binary64)) (.f64 (log.f64 x.im) #s(literal 2 binary64))))
(pow.f64 x.im #s(literal 5 binary64))
(.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im))))
(.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im x.im)))
(.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.im x.im))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im (*.f64 x.im x.im)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x.im (.f64 x.im (.f64 x.im (*.f64 x.im x.im)))))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) x.im)

simplify230.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

2934×	`-lowering-.f32`
2934×	`-lowering-.f64`
2080×	`+-lowering-+.f64`
2080×	`+-lowering-+.f32`
1220×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	2798
1	611	2233
2	2322	1950
0	8477	1950

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

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

eval255.0ms (2.9%)

Compiler: Compiled 36022 to 3113 computations (91.4% saved)

prune302.0ms (3.4%)

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	1643	12	1655
Fresh	6	4	10
Picked	3	2	5
Done	1	2	3
Total	1653	20	1673

Accuracy

100.0%

Counts

1673 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.9%	(/.f64 (.f64 (.f64 x.im (.f64 x.re x.re)) (-.f64 #s(literal 9 binary64) (/.f64 (.f64 x.im x.im) (.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re x.re))))) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
	56.3%	(/.f64 (neg.f64 (.f64 x.im (.f64 x.im (*.f64 x.im x.im)))) x.im)
▶	59.8%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x.im (.f64 x.im x.im))))
	25.6%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im x.im))) (.f64 x.im x.im)) #s(literal 1 binary64)))
	52.0%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
▶	89.6%	(+.f64 (.f64 (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
	56.3%	(.f64 (/.f64 #s(literal -1 binary64) x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))
	52.5%	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
	46.4%	(.f64 (.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
▶	29.8%	(.f64 (.f64 x.re x.re) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x.im (.f64 x.im x.im)) (*.f64 x.re x.re))))
✓	46.4%	(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
	52.5%	(.f64 (.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re))
▶	52.5%	(.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
	24.4%	(.f64 (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x.im x.im))))
✓	90.1%	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
✓	46.4%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
	59.9%	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
▶	10.3%	(neg.f64 (/.f64 (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (.f64 x.im (*.f64 x.im x.im))))
	25.6%	(neg.f64 (/.f64 (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (*.f64 x.im x.im)))
✓	59.8%	(neg.f64 (.f64 x.im (.f64 x.im x.im)))

Compiler

Compiled 525 to 295 computations (43.8% saved)

simplify196.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im))))
✓	cost-diff	0	(.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (*.f64 x.im x.im)))))
✓	cost-diff	704	(neg.f64 (/.f64 (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (.f64 x.im (*.f64 x.im x.im))))
✓	cost-diff	768	(/.f64 (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (.f64 x.im (*.f64 x.im x.im)))
✓	cost-diff	0	(/.f64 (.f64 x.im (.f64 x.im x.im)) (*.f64 x.re x.re))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (/.f64 (.f64 x.im (.f64 x.im x.im)) (*.f64 x.re x.re)))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	512	(.f64 (.f64 x.re x.re) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x.im (.f64 x.im x.im)) (*.f64 x.re x.re))))
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(.f64 x.im (.f64 x.im x.im))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x.im (.f64 x.im x.im)))
✓	cost-diff	128	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x.im (.f64 x.im x.im))))
✓	cost-diff	0	(*.f64 x.re #s(literal 3 binary64))
✓	cost-diff	0	(.f64 x.im (.f64 x.re #s(literal 3 binary64)))
✓	cost-diff	0	(.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
✓	cost-diff	256	(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
✓	cost-diff	256	(.f64 (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) x.im))
✓	cost-diff	384	(+.f64 (.f64 (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))

Rules

2888×	`-lowering-.f32`
2888×	`-lowering-.f64`
1808×	`/-lowering-/.f32`
1808×	`/-lowering-/.f64`
1444×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	170
1	106	157
2	371	150
3	1677	141
4	4801	141
5	7276	141
0	8539	141

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize257.0ms (2.9%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x.im (.f64 x.im (*.f64 x.im x.im)))
✓	accuracy	99.9%	(.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im))))
✓	accuracy	99.8%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	29.1%	(/.f64 (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (.f64 x.im (*.f64 x.im x.im)))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	79.8%	(/.f64 (.f64 x.im (.f64 x.im x.im)) (*.f64 x.re x.re))
✓	accuracy	59.8%	(.f64 (.f64 x.re x.re) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x.im (.f64 x.im x.im)) (*.f64 x.re x.re))))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	99.7%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x.im (.f64 x.im x.im))))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (.f64 x.im (.f64 x.im x.im)))
✓	accuracy	100.0%	(*.f64 x.re #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
✓	accuracy	99.6%	(.f64 x.im (.f64 x.re #s(literal 3 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
✓	accuracy	99.6%	(*.f64 x.re (+.f64 x.im x.im))
✓	accuracy	90.9%	(+.f64 (.f64 (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
✓	accuracy	87.5%	(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))

Results

167.0ms

256×

valid

Compiler

Compiled 243 to 33 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 46.0ms (49.9% of total)

ival-add: 33.0ms (35.8% of total)

ival-div: 8.0ms (8.7% of total)

ival-sub: 3.0ms (3.3% of total)

const: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

series16.0ms (0.2%)

Counts

22 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
2.0ms	x.im	@	-inf	(/ (* x.im (* x.im x.im)) (* x.re x.re))
1.0ms	x.im	@	inf	(+ (* (* x.re (+ 1 (/ x.im x.re))) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re))
1.0ms	x.im	@	0	(+ (* (* x.re (+ 1 (/ x.im x.re))) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re))
1.0ms	x.re	@	0	(* (* x.re x.re) (- 0 (/ (* x.im (* x.im x.im)) (* x.re x.re))))
1.0ms	x.im	@	-inf	(+ (* (* x.re (+ 1 (/ x.im x.re))) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re))

rewrite317.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3154×	`-lowering-.f32`
3154×	`-lowering-.f64`
2872×	`/-lowering-/.f32`
2872×	`/-lowering-/.f64`
2162×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	138
1	187	123
2	1608	113
0	8332	113

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 684

Calls

Call 1

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

Outputs
(+.f64 (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re x.re)))
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (*.f64 x.im (-.f64 x.re x.im))))
(-.f64 (/.f64 (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))))) (-.f64 (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))) (/.f64 (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re))) (-.f64 (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))))
(-.f64 (/.f64 (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re))) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))))) (/.f64 (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))))) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))))))
(fma.f64 x.re (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))))
(fma.f64 x.re (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (.f64 x.im (-.f64 x.re x.im))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))
(fma.f64 x.im (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (-.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (.f64 x.re (.f64 x.im (-.f64 x.re x.im))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))
(fma.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))
(fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.re (.f64 x.im #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))
(fma.f64 (.f64 x.im (-.f64 x.re x.im)) (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))))
(fma.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) x.re (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))))
(fma.f64 (.f64 x.re x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))))
(fma.f64 (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (-.f64 x.re x.im)) x.im (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))
(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (.f64 x.im (-.f64 x.re x.im))) x.re (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))
(fma.f64 (.f64 (.f64 x.im (-.f64 x.re x.im)) x.re) (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))
(fma.f64 (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) x.im) (-.f64 x.re x.im) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))))) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im)))))) (+.f64 (.f64 (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))) (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im)))))) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re))) (-.f64 (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))))) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re x.re))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))))) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im)))))) (+.f64 (.f64 (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))) (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im)))))) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re))) (-.f64 (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))))) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re x.re)))))))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))) (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im)))))) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re))))) (+.f64 (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))))) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im)))))))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))) (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im)))))) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re))))) (+.f64 (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re))) (-.f64 (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))))) (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re x.re)))))))
(/.f64 (-.f64 (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))))) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))) (-.f64 (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re x.re))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))) (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im)))))) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))))) (neg.f64 (+.f64 (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))))) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))) (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im)))))) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)))))) (neg.f64 (+.f64 (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re))) (-.f64 (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 x.im (-.f64 x.re x.im))))) (.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 (+.f64 x.re (.f64 x.im #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re x.re))))))))
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(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))) (neg.f64 (.f64 x.im x.im)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) x.im) (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))) (neg.f64 (*.f64 x.im x.im)))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))) (.f64 x.im x.im))) (-.f64 #s(literal 0 binary64) x.im))
(/.f64 (neg.f64 (neg.f64 (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))) (neg.f64 (*.f64 x.im x.im)))
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (.f64 #s(literal 0 binary64) (.f64 (.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.im x.im))) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64))
(pow.f64 (/.f64 (.f64 x.im (.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (*.f64 x.im x.im))))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im)))
(.f64 x.im (neg.f64 (.f64 x.im x.im)))
(.f64 x.im (/.f64 (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im))))
(.f64 #s(literal -1 binary64) (.f64 x.im (*.f64 x.im x.im)))
(.f64 (.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im))
(.f64 (.f64 x.im x.im) (/.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im))))
(.f64 (.f64 x.im (*.f64 x.im x.im)) #s(literal -1 binary64))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (/.f64 x.im (.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im))))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (/.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.im x.im))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))) (/.f64 (/.f64 #s(literal 1 binary64) x.im) (*.f64 x.im x.im)))
(.f64 (-.f64 #s(literal 0 binary64) x.im) (.f64 x.im x.im))
(.f64 (neg.f64 (.f64 x.im x.im)) x.im)
(.f64 (.f64 #s(literal -1 binary64) (*.f64 x.im x.im)) x.im)
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x.im)) (.f64 x.im x.im))
(exp.f64 (.f64 (log.f64 (.f64 x.im x.im)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x.im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 3 binary64) (log.f64 x.im)) (.f64 #s(literal 3 binary64) (log.f64 x.im))))
(pow.f64 x.im #s(literal 6 binary64))
(pow.f64 (*.f64 x.im x.im) #s(literal 3 binary64))
(pow.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x.im) (*.f64 x.im x.im)) #s(literal -2 binary64))
(pow.f64 (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (*.f64 x.im x.im))))) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.im x.im))) #s(literal -2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.im x.im))) (/.f64 #s(literal -1 binary64) (.f64 x.im (*.f64 x.im x.im)))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x.im) (.f64 x.im x.im)) (/.f64 (/.f64 #s(literal 1 binary64) x.im) (*.f64 x.im x.im))) #s(literal -1 binary64))
(.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (*.f64 x.im x.im)))))
(.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (*.f64 x.im x.im))))
(.f64 (.f64 x.im (.f64 x.im 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 x.im))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im (*.f64 x.im x.im)))) x.im)
(.f64 (.f64 (.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im)) (.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im)))
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 5 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x.im) #s(literal 2 binary64)) (.f64 #s(literal 3 binary64) (log.f64 x.im))))
(exp.f64 (+.f64 (.f64 #s(literal 3 binary64) (log.f64 x.im)) (.f64 (log.f64 x.im) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x.im)) (/.f64 (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (*.f64 x.im x.im))))) (-.f64 #s(literal 0 binary64) x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (*.f64 x.im x.im)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (*.f64 x.im x.im))))))))
(/.f64 (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (*.f64 x.im x.im))))) x.im)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (*.f64 x.im x.im)))))) (-.f64 #s(literal 0 binary64) x.im))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (*.f64 x.im x.im))))))) (neg.f64 (-.f64 #s(literal 0 binary64) x.im)))
(pow.f64 x.im #s(literal 5 binary64))
(pow.f64 (/.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (*.f64 x.im x.im)))))) #s(literal -1 binary64))
(.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im))))
(.f64 x.im (/.f64 (.f64 x.im (.f64 x.im (.f64 x.im (*.f64 x.im x.im)))) x.im))
(.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im x.im)))
(.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.im x.im))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) x.im)
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im (*.f64 x.im x.im)))) #s(literal 1 binary64))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) x.im))
(+.f64 (.f64 x.re x.im) (.f64 x.re x.im))
(-.f64 (/.f64 (.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (-.f64 (.f64 x.re x.im) (.f64 x.re x.im))) (/.f64 (.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (-.f64 (.f64 x.re x.im) (.f64 x.re x.im))))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(fma.f64 x.im x.re (*.f64 x.re x.im))
(/.f64 (+.f64 (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re)))) (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (-.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 x.re x.re) (.f64 x.im x.im)) (.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 #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))
(/.f64 (.f64 x.re (.f64 (.f64 x.im x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (.f64 x.im x.im) #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 (.f64 x.im x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) x.re) (+.f64 (.f64 x.im x.im) #s(literal 0 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re))))) (neg.f64 (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (neg.f64 (-.f64 (.f64 x.re x.im) (.f64 x.re x.im))))
(/.f64 (neg.f64 (*.f64 x.re #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) x.re)) #s(literal 0 binary64))
(/.f64 (neg.f64 (.f64 x.re (.f64 (.f64 x.im x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (neg.f64 (+.f64 (.f64 x.im x.im) #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x.im x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) x.re)) (neg.f64 (+.f64 (.f64 x.im x.im) #s(literal 0 binary64))))
(*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 x.im (+.f64 x.re x.re))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)
(.f64 #s(literal 2 binary64) (.f64 x.re x.im))
(.f64 (.f64 x.re #s(literal 2 binary64)) x.im)
(+.f64 (.f64 x.re (.f64 x.re x.im)) (.f64 x.re (.f64 x.re x.im)))
(+.f64 (.f64 (.f64 x.re x.im) x.re) (.f64 (.f64 x.re x.im) x.re))
(fma.f64 x.re (.f64 x.re x.im) (.f64 x.re (*.f64 x.re x.im)))
(fma.f64 (.f64 x.re x.im) x.re (.f64 (*.f64 x.re x.im) x.re))
(/.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 x.re (.f64 x.re x.im)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x.re (.f64 x.re x.im)) (.f64 x.re (.f64 x.re x.im))) (-.f64 (.f64 (.f64 x.re (.f64 x.re x.im)) (.f64 x.re (.f64 x.re x.im))) (.f64 (.f64 x.re (.f64 x.re x.im)) (.f64 x.re (*.f64 x.re x.im))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x.re x.im) x.re) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x.re x.im) x.re) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x.re x.im) x.re) (.f64 (.f64 x.re x.im) x.re)) (-.f64 (.f64 (.f64 (.f64 x.re x.im) x.re) (.f64 (.f64 x.re x.im) x.re)) (.f64 (.f64 (.f64 x.re x.im) x.re) (.f64 (*.f64 x.re x.im) x.re)))))
(.f64 x.re (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))
(.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re))
(.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) x.re)
(.f64 (.f64 x.re x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x.im x.im)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x.im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x.im) #s(literal 2 binary64)) (.f64 (log.f64 x.im) #s(literal 2 binary64))))
(pow.f64 x.im #s(literal 4 binary64))
(pow.f64 (*.f64 x.im x.im) #s(literal 2 binary64))
(.f64 x.im (.f64 x.im (*.f64 x.im x.im)))
(.f64 (.f64 x.im x.im) (*.f64 x.im x.im))
(.f64 (.f64 x.im (*.f64 x.im x.im)) x.im)

simplify307.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

2652×	`-lowering-.f32`
2652×	`-lowering-.f64`
1736×	`fma-lowering-fma.f32`
1736×	`fma-lowering-fma.f64`
1506×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	2247
1	398	1958
2	1393	1849
3	5793	1841
0	8496	1841

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

Outputs
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(.f64 (.f64 x.re x.re) (-.f64 (.f64 x.im #s(literal 3 binary64)) (.f64 (/.f64 x.im x.re) (/.f64 (*.f64 x.im x.im) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(.f64 (.f64 x.re x.re) (-.f64 (.f64 x.im #s(literal 3 binary64)) (.f64 (/.f64 x.im x.re) (/.f64 (*.f64 x.im x.im) x.re))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (* 2 x.im))))
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* x.im (+ x.im (* -1 x.im))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(.f64 (.f64 x.re x.re) (-.f64 (.f64 x.im #s(literal 3 binary64)) (.f64 (/.f64 x.im x.re) (/.f64 (*.f64 x.im x.im) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* x.im (+ x.im (* -1 x.im))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(.f64 (.f64 x.re x.re) (-.f64 (.f64 x.im #s(literal 3 binary64)) (.f64 (/.f64 x.im x.re) (/.f64 (*.f64 x.im x.im) x.re))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(.f64 x.im (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(* x.im (pow x.re 2))
(.f64 x.re (.f64 x.im x.re))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(.f64 x.re (.f64 x.im x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(.f64 (.f64 x.re x.re) (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(.f64 (.f64 x.re x.re) (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(* x.im (pow x.re 2))
(.f64 x.re (.f64 x.im x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(.f64 x.re (.f64 x.im x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* x.im (+ x.im (* -1 x.im))) (/ (pow x.im 3) x.re)) x.re))))
(.f64 (.f64 x.re x.re) (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* x.im (+ x.im (* -1 x.im))) (/ (pow x.im 3) x.re)) x.re))))
(.f64 (.f64 x.re x.re) (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(* x.im (pow x.re 2))
(.f64 x.re (.f64 x.im x.re))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
x.im
(+ x.im x.re)
(+.f64 x.im x.re)
(+ x.im x.re)
(+.f64 x.im x.re)
(+ x.im x.re)
(+.f64 x.im x.re)
x.re
(* x.re (+ 1 (/ x.im x.re)))
(+.f64 x.im x.re)
(* x.re (+ 1 (/ x.im x.re)))
(+.f64 x.im x.re)
(* x.re (+ 1 (/ x.im x.re)))
(+.f64 x.im x.re)
x.re
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(+.f64 x.im x.re)
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(+.f64 x.im x.re)
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(+.f64 x.im x.re)
x.re
(+ x.im x.re)
(+.f64 x.im x.re)
(+ x.im x.re)
(+.f64 x.im x.re)
(+ x.im x.re)
(+.f64 x.im x.re)
x.im
(* x.im (+ 1 (/ x.re x.im)))
(+.f64 x.im x.re)
(* x.im (+ 1 (/ x.re x.im)))
(+.f64 x.im x.re)
(* x.im (+ 1 (/ x.re x.im)))
(+.f64 x.im x.re)
x.im
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(+.f64 x.im x.re)
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(+.f64 x.im x.re)
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(+.f64 x.im x.re)
1
#s(literal 1 binary64)
(+ 1 (/ x.im x.re))
(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
(+ 1 (/ x.im x.re))
(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
(+ 1 (/ x.im x.re))
(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
(/ x.im x.re)
(/.f64 x.im x.re)
(* x.im (+ (/ 1 x.im) (/ 1 x.re)))
(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
(* x.im (+ (/ 1 x.im) (/ 1 x.re)))
(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
(* x.im (+ (/ 1 x.im) (/ 1 x.re)))
(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
(/ x.im x.re)
(/.f64 x.im x.re)
(* x.im (+ (/ 1 x.im) (/ 1 x.re)))
(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
(* x.im (+ (/ 1 x.im) (/ 1 x.re)))
(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
(* x.im (+ (/ 1 x.im) (/ 1 x.re)))
(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
(/ x.im x.re)
(/.f64 x.im x.re)
(/ (+ x.im x.re) x.re)
(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
(/ (+ x.im x.re) x.re)
(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
(/ (+ x.im x.re) x.re)
(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
1
#s(literal 1 binary64)
(+ 1 (/ x.im x.re))
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(pow x.im 3)
(.f64 x.im (.f64 x.im x.im))
(pow x.im 3)
(.f64 x.im (.f64 x.im x.im))
(pow x.im 3)
(.f64 x.im (.f64 x.im x.im))
(pow x.im 3)
(.f64 x.im (.f64 x.im x.im))
(pow x.im 3)
(.f64 x.im (.f64 x.im x.im))
(pow x.im 3)
(.f64 x.im (.f64 x.im x.im))
(pow x.im 3)
(.f64 x.im (.f64 x.im x.im))
(pow x.im 3)
(.f64 x.im (.f64 x.im x.im))
(pow x.im 3)
(.f64 x.im (.f64 x.im x.im))
(pow x.im 3)
(.f64 x.im (.f64 x.im x.im))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
(pow x.im 6)
(pow.f64 x.im #s(literal 6 binary64))
(pow x.im 6)
(pow.f64 x.im #s(literal 6 binary64))
(pow x.im 6)
(pow.f64 x.im #s(literal 6 binary64))
(pow x.im 6)
(pow.f64 x.im #s(literal 6 binary64))
(pow x.im 6)
(pow.f64 x.im #s(literal 6 binary64))
(pow x.im 6)
(pow.f64 x.im #s(literal 6 binary64))
(pow x.im 6)
(pow.f64 x.im #s(literal 6 binary64))
(pow x.im 6)
(pow.f64 x.im #s(literal 6 binary64))
(pow x.im 6)
(pow.f64 x.im #s(literal 6 binary64))
(pow x.im 6)
(pow.f64 x.im #s(literal 6 binary64))
(pow x.im 6)
(pow.f64 x.im #s(literal 6 binary64))
(pow x.im 6)
(pow.f64 x.im #s(literal 6 binary64))
(pow x.im 5)
(pow.f64 x.im #s(literal 5 binary64))
(pow x.im 5)
(pow.f64 x.im #s(literal 5 binary64))
(pow x.im 5)
(pow.f64 x.im #s(literal 5 binary64))
(pow x.im 5)
(pow.f64 x.im #s(literal 5 binary64))
(pow x.im 5)
(pow.f64 x.im #s(literal 5 binary64))
(pow x.im 5)
(pow.f64 x.im #s(literal 5 binary64))
(pow x.im 5)
(pow.f64 x.im #s(literal 5 binary64))
(pow x.im 5)
(pow.f64 x.im #s(literal 5 binary64))
(pow x.im 5)
(pow.f64 x.im #s(literal 5 binary64))
(pow x.im 5)
(pow.f64 x.im #s(literal 5 binary64))
(pow x.im 5)
(pow.f64 x.im #s(literal 5 binary64))
(pow x.im 5)
(pow.f64 x.im #s(literal 5 binary64))
(* 2 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(* 2 (* x.im (pow x.re 2)))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(pow x.im 4)
(pow.f64 x.im #s(literal 4 binary64))
(pow x.im 4)
(pow.f64 x.im #s(literal 4 binary64))
(pow x.im 4)
(pow.f64 x.im #s(literal 4 binary64))
(pow x.im 4)
(pow.f64 x.im #s(literal 4 binary64))
(pow x.im 4)
(pow.f64 x.im #s(literal 4 binary64))
(pow x.im 4)
(pow.f64 x.im #s(literal 4 binary64))
(pow x.im 4)
(pow.f64 x.im #s(literal 4 binary64))
(pow x.im 4)
(pow.f64 x.im #s(literal 4 binary64))
(pow x.im 4)
(pow.f64 x.im #s(literal 4 binary64))
(pow x.im 4)
(pow.f64 x.im #s(literal 4 binary64))
(pow x.im 4)
(pow.f64 x.im #s(literal 4 binary64))
(pow x.im 4)
(pow.f64 x.im #s(literal 4 binary64))

eval170.0ms (1.9%)

Compiler: Compiled 30317 to 3007 computations (90.1% saved)

prune438.0ms (4.9%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	1499	5	1504
Fresh	5	6	11
Picked	3	2	5
Done	0	4	4
Total	1507	17	1524

Accuracy

100.0%

Counts

1524 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.9%	(/.f64 (.f64 (.f64 x.im (.f64 x.re x.re)) (-.f64 #s(literal 9 binary64) (/.f64 (.f64 x.im x.im) (.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re x.re))))) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
	56.3%	(/.f64 (neg.f64 (.f64 x.im (.f64 x.im (*.f64 x.im x.im)))) x.im)
	59.8%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x.im) x.im) x.im))
	59.8%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) x.im))
	25.6%	(/.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im (*.f64 x.im x.im))))))
	56.3%	(.f64 (/.f64 #s(literal -1 binary64) x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))
	52.5%	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
	52.5%	(.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
	46.4%	(.f64 (.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
✓	46.4%	(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
✓	52.5%	(.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
✓	90.1%	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
✓	46.4%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
	59.9%	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
✓	10.3%	(neg.f64 (/.f64 (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (.f64 x.im (*.f64 x.im x.im))))
	59.8%	(neg.f64 (/.f64 (*.f64 x.im x.im) (/.f64 #s(literal 1 binary64) x.im)))
✓	59.8%	(neg.f64 (.f64 x.im (.f64 x.im x.im)))

Compiler

Compiled 937 to 285 computations (69.6% saved)

regimes66.0ms (0.7%)

Counts

44 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

28.0ms	x.im
21.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
13.0ms	x.re

Results

Accuracy	Segments	Branch
97.8%	2	`x.re`
97.4%	2	`x.im`
98.2%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes13.0ms (0.1%)

Counts

29 → 2

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

x.re

Results

Accuracy	Segments	Branch
97.8%	2	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x.im
5.0ms	x.re

Results

Accuracy	Segments	Branch
81.5%	2	`x.im`
84.6%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

x.re

Results

Accuracy	Segments	Branch
84.6%	2	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

x.re

Results

Accuracy	Segments	Branch
84.6%	2	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

x.re

Results

Accuracy	Segments	Branch
84.6%	2	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

x.re

Results

Accuracy	Segments	Branch
84.6%	2	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x.im
2.0ms	x.re

Results

Accuracy	Segments	Branch
75.3%	2	`x.im`
78.4%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 (.f64 x.im (.f64 x.im x.im)))

Outputs
(neg.f64 (.f64 x.im (.f64 x.im x.im)))

Calls

2 calls:

1.0ms	x.re
1.0ms	x.im

Results

Accuracy	Segments	Branch
59.8%	1	`x.im`
59.8%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	6.001130387391679e+150	4.0357994207283496e+155

Results

14.0ms

144×

valid

Compiler

Compiled 242 to 159 computations (34.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 8.0ms (80.5% of total)

ival-sub: 1.0ms (10.1% of total)

ival-add: 1.0ms (10.1% of total)

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	5.540931391222235e-45	2.5942876248553428e-43

Results

12.0ms

112×

valid

Compiler

Compiled 159 to 106 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 5.0ms (74.5% of total)

ival-sub: 1.0ms (14.9% of total)

ival-add: 1.0ms (14.9% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.540931391222235e-45	2.5942876248553428e-43

Results

10.0ms

112×

valid

Compiler

Compiled 159 to 106 computations (33.3% saved)

Precisions

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

ival-mult: 5.0ms (79.3% of total)

ival-sub: 1.0ms (15.9% of total)

ival-add: 1.0ms (15.9% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.540931391222235e-45	2.5942876248553428e-43

Results

10.0ms

112×

valid

Compiler

Compiled 159 to 106 computations (33.3% saved)

Precisions

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

ival-mult: 5.0ms (77.4% of total)

ival-sub: 1.0ms (15.5% of total)

ival-add: 1.0ms (15.5% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.540931391222235e-45	2.5942876248553428e-43

Results

11.0ms

112×

valid

Compiler

Compiled 159 to 106 computations (33.3% saved)

Precisions

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

ival-mult: 5.0ms (77.1% of total)

ival-sub: 1.0ms (15.4% of total)

ival-add: 1.0ms (15.4% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5.540931391222235e-45	2.5942876248553428e-43

Results

11.0ms

112×

valid

Compiler

Compiled 159 to 106 computations (33.3% saved)

Precisions

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

ival-mult: 5.0ms (78.6% of total)

ival-sub: 1.0ms (15.7% of total)

ival-add: 1.0ms (15.7% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.540931391222235e-45	2.5942876248553428e-43

Results

10.0ms

112×

valid

Compiler

Compiled 159 to 106 computations (33.3% saved)

Precisions

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

ival-mult: 5.0ms (78.8% of total)

ival-sub: 1.0ms (15.8% of total)

ival-add: 1.0ms (15.8% of total)

const: 0.0ms (0% of total)

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

48×	`*-commutative_binary64`
20×	`+-commutative_binary64`
12×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	180
1	101	180
2	114	180
3	119	180
4	121	180

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x.im (*.f64 x.im x.im)))))
(if (<=.f64 x.re #s(literal 7799999999999999662993259276744944044744793674331316722871614461873921322564221558610190161949860767151784985925172927759692277766751643944293093240471552 binary64)) (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)))
(if (<=.f64 x.re #s(literal 1908238927557551/12554203470773361527671578846415332832204710888928069025792 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re))
(if (<=.f64 x.re #s(literal 1908238927557551/12554203470773361527671578846415332832204710888928069025792 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)))
(if (<=.f64 x.re #s(literal 1908238927557551/50216813883093446110686315385661331328818843555712276103168 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (.f64 (.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re)))
(if (<=.f64 x.re #s(literal 3201321885047207/12554203470773361527671578846415332832204710888928069025792 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re))
(if (<=.f64 x.re #s(literal 6277101735386681/25108406941546723055343157692830665664409421777856138051584 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))))
(if (<=.f64 x.re #s(literal 3201321885047207/12554203470773361527671578846415332832204710888928069025792 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(neg.f64 (.f64 x.im (.f64 x.im x.im)))

Outputs
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x.im (*.f64 x.im x.im)))))
(if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal +inf.0 binary64)) (+.f64 (.f64 x.re (+.f64 (.f64 x.re x.im) (.f64 x.re x.im))) (.f64 (+.f64 x.re x.im) (.f64 x.im (-.f64 x.re x.im)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x.im (*.f64 x.im x.im)))))
(if (<=.f64 x.re #s(literal 7799999999999999662993259276744944044744793674331316722871614461873921322564221558610190161949860767151784985925172927759692277766751643944293093240471552 binary64)) (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)))
(if (<=.f64 x.re #s(literal 7799999999999999662993259276744944044744793674331316722871614461873921322564221558610190161949860767151784985925172927759692277766751643944293093240471552 binary64)) (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (.f64 #s(literal 3 binary64) (.f64 x.re (*.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 1908238927557551/12554203470773361527671578846415332832204710888928069025792 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re))
(if (<=.f64 x.re #s(literal 1908238927557551/12554203470773361527671578846415332832204710888928069025792 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im))) (.f64 x.re (.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
(if (<=.f64 x.re #s(literal 1908238927557551/12554203470773361527671578846415332832204710888928069025792 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)))
(if (<=.f64 x.re #s(literal 1908238927557551/12554203470773361527671578846415332832204710888928069025792 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im))) (.f64 #s(literal 3 binary64) (.f64 x.re (*.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 1908238927557551/50216813883093446110686315385661331328818843555712276103168 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (.f64 (.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re)))
(if (<=.f64 x.re #s(literal 1908238927557551/50216813883093446110686315385661331328818843555712276103168 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im))) (.f64 (.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))))
(if (<=.f64 x.re #s(literal 3201321885047207/12554203470773361527671578846415332832204710888928069025792 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re))
(if (<=.f64 x.re #s(literal 3201321885047207/12554203470773361527671578846415332832204710888928069025792 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im))) (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(if (<=.f64 x.re #s(literal 6277101735386681/25108406941546723055343157692830665664409421777856138051584 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))))
(if (<=.f64 x.re #s(literal 6277101735386681/25108406941546723055343157692830665664409421777856138051584 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im))) (.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
(if (<=.f64 x.re #s(literal 3201321885047207/12554203470773361527671578846415332832204710888928069025792 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(if (<=.f64 x.re #s(literal 3201321885047207/12554203470773361527671578846415332832204710888928069025792 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im))) (.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64))))
(neg.f64 (.f64 x.im (.f64 x.im x.im)))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))

soundness1.7s (18.6%)

Rules

4114×	`-lowering-.f32`
4114×	`-lowering-.f64`
3544×	`-lowering-.f32`
3544×	`-lowering-.f64`
3374×	`-lowering-.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	27	115
1	178	102
2	1537	102
0	8863	102
0	78	1509
1	254	1236
2	800	1206
3	3574	1206
0	8819	1206
0	11	15
1	30	14
2	66	13
3	179	10
4	482	9
5	2059	8
6	3275	8
7	7650	8
0	8110	8
0	16	66
1	102	55
0	833	55
0	36	153
1	232	118
2	1943	117
0	9065	117
0	32	138
1	187	123
2	1608	113
0	8332	113

Stop Event

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

Compiler

Compiled 691 to 378 computations (45.3% saved)

preprocess99.0ms (1.1%)

Remove

(negabs x.im)

(abs x.re)

Compiler

Compiled 874 to 346 computations (60.4% saved)

analyze0.0ms (0%)

sample1.2s (13.1%)

preprocess256.0ms (2.9%)

explain134.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify178.0ms (2%)

localize108.0ms (1.2%)

series19.0ms (0.2%)

rewrite88.0ms (1%)

simplify224.0ms (2.5%)

eval44.0ms (0.5%)

prune28.0ms (0.3%)

simplify187.0ms (2.1%)

localize151.0ms (1.7%)

series21.0ms (0.2%)

rewrite399.0ms (4.5%)

simplify287.0ms (3.2%)

eval183.0ms (2%)

prune187.0ms (2.1%)

simplify184.0ms (2.1%)

localize165.0ms (1.8%)

series14.0ms (0.2%)

rewrite429.0ms (4.8%)

simplify230.0ms (2.6%)

eval255.0ms (2.9%)

prune302.0ms (3.4%)

simplify196.0ms (2.2%)

localize257.0ms (2.9%)

series16.0ms (0.2%)

rewrite317.0ms (3.5%)

simplify307.0ms (3.4%)

eval170.0ms (1.9%)

prune438.0ms (4.9%)

regimes66.0ms (0.7%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch21.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch16.0ms (0.2%)

bsearch16.0ms (0.2%)

bsearch15.0ms (0.2%)

simplify12.0ms (0.1%)

soundness1.7s (18.6%)

preprocess99.0ms (1.1%)

end0.0ms (0%)

Profiling