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)

sample1.1s (13.6%)

Results

899.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 580.0ms

ival-mult: 446.0ms (76.9% of total)

ival-add: 79.0ms (13.6% of total)

ival-sub: 44.0ms (7.6% of total)

const: 7.0ms (1.2% of total)

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

Bogosity

preprocess251.0ms (3%)

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)

explain202.0ms (2.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
22	-	-	`(+.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))`
11	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
8	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im 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

132.0ms

512×

valid

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions

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

ival-mult: 32.0ms (76.6% of total)

ival-add: 6.0ms (14.4% of total)

ival-sub: 3.0ms (7.2% of total)

const: 1.0ms (2.4% 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
▶	86.0%	(+.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))
▶	92.7%	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))

Status

Accuracy

Program

▶

86.0%

(+.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))

▶

92.7%

(*.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)

simplify191.0ms (2.3%)

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)

localize91.0ms (1.1%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	97.0%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	accuracy	96.2%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	91.3%	(+.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	97.0%	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
✓	accuracy	96.2%	(-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))

Results

70.0ms

256×

valid

Compiler

Compiled 102 to 17 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 19.0ms (78.6% of total)

ival-sub: 2.0ms (8.3% of total)

ival-add: 2.0ms (8.3% of total)

const: 0.0ms (0% of total)

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

series27.0ms (0.3%)

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
7.0ms	x.re	@	inf	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
5.0ms	x.re	@	0	(+ (* (- (* 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)

rewrite102.0ms (1.2%)

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))

simplify269.0ms (3.2%)

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)))))

eval45.0ms (0.5%)

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

prune40.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	335	7	342
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	336	8	344

Accuracy

100.0%

Counts

344 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.3%	(/.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)))
▶	62.4%	(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
▶	91.2%	(+.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))
▶	48.3%	(+.f64 (.f64 (.f64 x.re x.re) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	51.1%	(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
✓	92.7%	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
	35.5%	(.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 #s(literal 1 binary64) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))))
▶	48.3%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))

Compiler

Compiled 271 to 156 computations (42.4% saved)

simplify217.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

2180×	`+-lowering-+.f64`
2180×	`+-lowering-+.f32`
1880×	`fnmadd-define`
1306×	`fma-lowering-fma.f32`
1306×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	23	136
1	61	131
2	143	128
3	337	127
4	998	126
5	3588	120
6	6473	120
0	8247	120

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

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

localize225.0ms (2.7%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	accuracy	99.8%	(+.f64 (.f64 (.f64 x.re x.re) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	91.6%	(.f64 (.f64 x.re x.re) x.im)
✓	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	99.9%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	100.0%	(*.f64 x.im x.re)
✓	accuracy	99.8%	(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
✓	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
✓	accuracy	91.6%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
✓	accuracy	100.0%	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	accuracy	99.9%	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	91.3%	(+.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

150.0ms

256×

valid

Compiler

Compiled 166 to 24 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 22.0ms (71.2% of total)

ival-add: 5.0ms (16.2% of total)

ival-sub: 3.0ms (9.7% of total)

const: 1.0ms (3.2% of total)

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

series10.0ms (0.1%)

Counts

15 → 300

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

Calls

75 calls:

Time	Variable		Point	Expression
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))
0.0ms	x.re	@	-inf	(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0ms	x.im	@	0	(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0ms	x.re	@	inf	(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
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))

rewrite126.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

590×	`-lowering-.f32`
590×	`-lowering-.f64`
312×	`/-lowering-/.f32`
312×	`/-lowering-/.f64`
304×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	91
1	131	75
0	1072	75

Stop Event

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

Counts

15 → 148

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)
(* x.re (* 3 (* x.im x.re)))
(* 3 (* x.im x.re))
(* x.im 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.re x.im) (* x.im x.re)) x.re))
(* (* x.re x.re) x.im)

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

simplify236.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2782×	`-lowering-.f32`
2782×	`-lowering-.f64`
2210×	`fma-lowering-fma.f32`
2210×	`fma-lowering-fma.f64`
1758×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	1944
1	429	1614
2	1739	1522
3	7171	1512
0	8067	1512

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

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

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

eval72.0ms (0.8%)

Compiler: Compiled 8520 to 427 computations (95% saved)

prune56.0ms (0.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	575	10	585
Fresh	2	0	2
Picked	4	1	5
Done	1	0	1
Total	582	11	593

Accuracy

100.0%

Counts

593 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	11.7%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im x.im))))) (.f64 x.im (*.f64 x.im x.im)))
	11.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 (.f64 x.im x.im) (.f64 x.im (*.f64 x.im x.im)))))))
	62.4%	(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 3 binary64)))
	35.4%	(+.f64 (/.f64 (.f64 (+.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re))) (.f64 x.im (-.f64 x.re x.im))) (+.f64 (.f64 x.im x.im) (.f64 x.re (-.f64 x.re x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	63.2%	(+.f64 (.f64 (.f64 x.re x.re) (-.f64 x.im (/.f64 (/.f64 (.f64 x.im (.f64 x.im x.im)) x.re) x.re))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	51.1%	(.f64 (.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))
▶	48.3%	(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
▶	62.4%	(.f64 (neg.f64 (.f64 x.im x.im)) x.im)
	51.2%	(.f64 x.re (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re))
▶	85.5%	(.f64 x.re (.f64 x.re (+.f64 x.im (.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re))))))
✓	48.3%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))

Compiler

Compiled 351 to 190 computations (45.9% saved)

simplify188.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	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	256	(.f64 (.f64 x.re x.re) (-.f64 x.im (/.f64 (/.f64 (.f64 x.im (.f64 x.im x.im)) x.re) x.re)))
✓	cost-diff	768	(+.f64 (.f64 (.f64 x.re x.re) (-.f64 x.im (/.f64 (/.f64 (.f64 x.im (.f64 x.im x.im)) x.re) x.re))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
✓	cost-diff	0	(.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im x.im)))
✓	cost-diff	0	(.f64 x.im (.f64 (.f64 x.im x.im) (.f64 x.im (*.f64 x.im x.im))))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 (.f64 x.im x.im) (.f64 x.im (*.f64 x.im x.im)))))
✓	cost-diff	768	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im x.im))))) (.f64 x.im (*.f64 x.im x.im)))
✓	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 x.im))
✓	cost-diff	-64	(.f64 (neg.f64 (.f64 x.im x.im)) x.im)
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)))
✓	cost-diff	128	(+.f64 x.im (.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re))))
✓	cost-diff	128	(.f64 x.re (+.f64 x.im (.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))))
✓	cost-diff	256	(.f64 x.re (.f64 x.re (+.f64 x.im (.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re))))))

Rules

2452×	`-lowering-.f32`
2452×	`-lowering-.f64`
2050×	`fma-lowering-fma.f32`
2050×	`fma-lowering-fma.f64`
1750×	`fmsub-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	197
1	95	183
2	285	172
3	987	166
4	3845	162
5	6700	162
0	8578	162

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x.re (* x.re (+ x.im (* x.im (- 2 (/ (/ (* x.im x.im) x.re) x.re))))))
x.re
(* x.re (+ x.im (* x.im (- 2 (/ (/ (* x.im x.im) x.re) x.re)))))
(+ x.im (* x.im (- 2 (/ (/ (* x.im x.im) x.re) x.re))))
x.im
(* x.im (- 2 (/ (/ (* x.im x.im) x.re) x.re)))
(- 2 (/ (/ (* x.im x.im) x.re) x.re))
2
(/ (/ (* x.im x.im) x.re) x.re)
(/ (* x.im x.im) x.re)
(* x.im x.im)
(* (neg (* x.im x.im)) x.im)
(neg (* 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
(/ (- 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)))))
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.re x.re) (- x.im (/ (/ (* x.im (* x.im x.im)) x.re) x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(* (* x.re x.re) (- x.im (/ (/ (* x.im (* x.im x.im)) x.re) x.re)))
(* x.re x.re)
x.re
(- x.im (/ (/ (* x.im (* x.im x.im)) x.re) x.re))
x.im
(/ (/ (* x.im (* x.im x.im)) x.re) x.re)
(/ (* x.im (* x.im x.im)) x.re)
(* x.im (* x.im x.im))
(* x.im x.im)
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(+ (* x.re x.im) (* x.im x.re))
(* x.re x.im)
(* x.im x.re)

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

localize264.0ms (3.1%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.1%	(/.f64 (/.f64 (.f64 x.im (.f64 x.im x.im)) x.re) x.re)
✓	accuracy	94.0%	(/.f64 (.f64 x.im (.f64 x.im x.im)) x.re)
✓	accuracy	91.3%	(+.f64 (.f64 (.f64 x.re x.re) (-.f64 x.im (/.f64 (/.f64 (.f64 x.im (.f64 x.im x.im)) x.re) x.re))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
✓	accuracy	76.1%	(.f64 (.f64 x.re x.re) (-.f64 x.im (/.f64 (/.f64 (.f64 x.im (.f64 x.im x.im)) x.re) x.re)))
✓	accuracy	100.0%	(.f64 x.im (.f64 (.f64 x.im x.im) (.f64 x.im (*.f64 x.im x.im))))
✓	accuracy	99.9%	(.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im x.im)))
✓	accuracy	99.9%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	21.2%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im x.im))))) (.f64 x.im (*.f64 x.im x.im)))
✓	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	100.0%	(*.f64 x.im #s(literal 3 binary64))
✓	accuracy	91.5%	(.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 x.im))
✓	accuracy	99.9%	(.f64 (neg.f64 (.f64 x.im x.im)) x.im)
✓	accuracy	95.0%	(.f64 x.re (+.f64 x.im (.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))))
✓	accuracy	94.7%	(.f64 x.re (.f64 x.re (+.f64 x.im (.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re))))))
✓	accuracy	91.8%	(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)
✓	accuracy	90.7%	(/.f64 (*.f64 x.im x.im) x.re)

Results

169.0ms	239×	0	valid
23.0ms	3×	1	valid
12.0ms	5×	3	valid
8.0ms	6×	2	valid
6.0ms	3×	4	valid

Compiler

Compiled 280 to 33 computations (88.2% saved)

Precisions

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

ival-mult: 28.0ms (48.8% of total)

ival-div: 10.0ms (17.4% of total)

ival-sub: 10.0ms (17.4% of total)

backward-pass: 4.0ms (7% of total)

ival-add: 4.0ms (7% of total)

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

const: 1.0ms (1.7% of total)

series24.0ms (0.3%)

Counts

23 → 432

Calls

Call 1

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

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

Calls

108 calls:

Time	Variable		Point	Expression
3.0ms	x.re	@	0	(* x.re (* x.re (+ x.im (* x.im (- 2 (/ (/ (* x.im x.im) x.re) x.re))))))
2.0ms	x.re	@	inf	(* (* x.re x.re) (- x.im (/ (/ (* x.im (* x.im x.im)) x.re) x.re)))
1.0ms	x.im	@	-inf	(* x.re (* x.re (+ x.im (* x.im (- 2 (/ (/ (* x.im x.im) x.re) x.re))))))
1.0ms	x.re	@	0	(+ (* (* x.re x.re) (- x.im (/ (/ (* x.im (* x.im x.im)) x.re) x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms	x.im	@	0	(* x.re (* x.re (+ x.im (* x.im (- 2 (/ (/ (* x.im x.im) x.re) x.re))))))

rewrite358.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3796×	`-lowering-.f32`
3796×	`-lowering-.f64`
3398×	`/-lowering-/.f32`
3398×	`/-lowering-/.f64`
1974×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	159
1	199	136
2	1727	128
0	8792	128

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 636

Calls

Call 1

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

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

simplify281.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

4418×	`-lowering-.f32`
4418×	`-lowering-.f64`
1658×	`fma-lowering-fma.f32`
1658×	`fma-lowering-fma.f64`
1536×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	3030
1	386	2532
2	1281	2430
3	4963	2418
0	8296	2418

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

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

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

eval145.0ms (1.7%)

Compiler: Compiled 33200 to 2583 computations (92.2% saved)

prune97.0ms (1.1%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1264	8	1272
Fresh	3	2	5
Picked	3	2	5
Done	0	1	1
Total	1270	13	1283

Accuracy

100.0%

Counts

1283 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.7%	(/.f64 (neg.f64 (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) x.im)) (.f64 x.im x.im))
▶	21.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (neg.f64 (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) x.im))))
	61.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))))
	62.4%	(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 3 binary64)))
▶	26.2%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (+.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) x.im)
	51.1%	(.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
✓	48.3%	(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
✓	62.4%	(.f64 (neg.f64 (.f64 x.im x.im)) x.im)
	24.1%	(.f64 x.re (/.f64 (-.f64 (.f64 x.re (.f64 x.im (.f64 x.re x.im))) (.f64 (.f64 x.re (.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.re x.re))))) (.f64 x.re (.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))) (-.f64 (.f64 x.re x.im) (.f64 x.re (.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))))
▶	51.2%	(.f64 x.re (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re))
▶	86.3%	(.f64 x.re (.f64 x.re (+.f64 x.im (.f64 x.im (-.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 (/.f64 x.im x.re) (/.f64 #s(literal 1 binary64) x.re))))))))
▶	57.2%	(.f64 x.re (.f64 x.im (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re))))
✓	48.3%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))

Compiler

Compiled 406 to 207 computations (49% saved)

simplify152.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(neg.f64 (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (*.f64 x.im x.im)))) x.im))
✓	cost-diff	256	(/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (*.f64 x.im x.im)))) x.im)
✓	cost-diff	704	(/.f64 (.f64 x.im x.im) (neg.f64 (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) x.im)))
✓	cost-diff	832	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (neg.f64 (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) x.im))))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im (*.f64 x.im x.im))))
✓	cost-diff	128	(+.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
✓	cost-diff	640	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (+.f64 #s(literal 0 binary64) (.f64 x.im x.im)))
✓	cost-diff	640	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (+.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) x.im)
✓	cost-diff	0	(/.f64 (*.f64 x.im x.im) x.re)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re))
✓	cost-diff	0	(.f64 x.im (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x.im x.im) x.re)))
✓	cost-diff	256	(.f64 x.re (.f64 x.im (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re))))
✓	cost-diff	0	(*.f64 x.im #s(literal 3 binary64))
✓	cost-diff	0	(.f64 (.f64 x.im #s(literal 3 binary64)) x.re)
✓	cost-diff	0	(.f64 x.re (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re))
✓	cost-diff	128	(.f64 x.im (-.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 (/.f64 x.im x.re) (/.f64 #s(literal 1 binary64) x.re)))))
✓	cost-diff	256	(+.f64 x.im (.f64 x.im (-.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 (/.f64 x.im x.re) (/.f64 #s(literal 1 binary64) x.re))))))
✓	cost-diff	256	(.f64 x.re (+.f64 x.im (.f64 x.im (-.f64 #s(literal 2 binary64) (.f64 x.im (.f64 (/.f64 x.im x.re) (/.f64 #s(literal 1 binary64) x.re)))))))
✓	cost-diff	256	(.f64 x.re (.f64 x.re (+.f64 x.im (.f64 x.im (-.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 (/.f64 x.im x.re) (/.f64 #s(literal 1 binary64) x.re))))))))

Rules

2248×	`-lowering-.f32`
2248×	`-lowering-.f64`
1754×	`sum3-define`
1270×	`fnmadd-define`
1188×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	233
1	115	197
2	403	168
3	1811	165
4	4936	153
5	7989	153
0	8001	153

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x.re (* x.re (+ x.im (* x.im (- 2 (* x.im (* (/ x.im x.re) (/ 1 x.re))))))))
x.re
(* x.re (+ x.im (* x.im (- 2 (* x.im (* (/ x.im x.re) (/ 1 x.re)))))))
(+ x.im (* x.im (- 2 (* x.im (* (/ x.im x.re) (/ 1 x.re))))))
x.im
(* x.im (- 2 (* x.im (* (/ x.im x.re) (/ 1 x.re)))))
(- 2 (* x.im (* (/ x.im x.re) (/ 1 x.re))))
2
(* x.im (* (/ x.im x.re) (/ 1 x.re)))
(* (/ x.im x.re) (/ 1 x.re))
(/ x.im x.re)
(/ 1 x.re)
1
(* x.re (* (* x.im 3) x.re))
x.re
(* (* x.im 3) x.re)
(* x.im 3)
x.im
3
(* x.re (* x.im (- 0 (/ (* x.im x.im) x.re))))
x.re
(* x.im (- 0 (/ (* x.im x.im) x.re)))
x.im
(- 0 (/ (* x.im x.im) x.re))
0
(/ (* x.im x.im) x.re)
(* x.im x.im)
(* (/ (- 0 (* x.im (* x.im (* x.im x.im)))) (+ 0 (* x.im x.im))) x.im)
(/ (- 0 (* x.im (* x.im (* x.im x.im)))) (+ 0 (* x.im x.im)))
(- 0 (* 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)
(+ 0 (* x.im x.im))
(/ 1 (/ (* x.im x.im) (neg (/ (* (* x.im x.im) (* x.im (* x.im (* x.im x.im)))) x.im))))
1
(/ (* 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
(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))

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

localize201.0ms (2.4%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (neg.f64 (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) x.im))))
✓	accuracy	96.4%	(/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (*.f64 x.im x.im)))) x.im)
✓	accuracy	43.2%	(/.f64 (.f64 x.im x.im) (neg.f64 (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) x.im)))
✓	accuracy	99.9%	(.f64 x.im (.f64 x.im (*.f64 x.im x.im)))
✓	accuracy	99.9%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (+.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) x.im)
✓	accuracy	99.9%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	31.2%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (+.f64 #s(literal 0 binary64) (.f64 x.im x.im)))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 x.im (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x.im x.im) x.re)))
✓	accuracy	90.7%	(/.f64 (*.f64 x.im x.im) x.re)
✓	accuracy	90.2%	(.f64 x.re (.f64 x.im (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re))))
✓	accuracy	100.0%	(*.f64 x.im #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 x.re (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re))
✓	accuracy	99.7%	(.f64 (.f64 x.im #s(literal 3 binary64)) x.re)
✓	accuracy	98.1%	(.f64 x.im (-.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 (/.f64 x.im x.re) (/.f64 #s(literal 1 binary64) x.re)))))
✓	accuracy	96.3%	(.f64 x.im (.f64 (/.f64 x.im x.re) (/.f64 #s(literal 1 binary64) x.re)))
✓	accuracy	95.0%	(.f64 x.re (+.f64 x.im (.f64 x.im (-.f64 #s(literal 2 binary64) (.f64 x.im (.f64 (/.f64 x.im x.re) (/.f64 #s(literal 1 binary64) x.re)))))))
✓	accuracy	94.7%	(.f64 x.re (.f64 x.re (+.f64 x.im (.f64 x.im (-.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 (/.f64 x.im x.re) (/.f64 #s(literal 1 binary64) x.re))))))))

Results

123.0ms	239×	0	valid
9.0ms	5×	3	valid
8.0ms	3×	4	valid
8.0ms	6×	2	valid
3.0ms	3×	1	valid

Compiler

Compiled 316 to 35 computations (88.9% saved)

Precisions

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

ival-mult: 27.0ms (47.4% of total)

ival-div: 15.0ms (26.4% of total)

backward-pass: 5.0ms (8.8% of total)

ival-sub: 4.0ms (7% of total)

ival-add: 3.0ms (5.3% of total)

const: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

series11.0ms (0.1%)

Counts

23 → 408

Calls

Call 1

Inputs
#<alt (* x.re (* x.re (+ x.im (* x.im (- 2 (* x.im (* (/ x.im x.re) (/ 1 x.re))))))))>
#<alt (* x.re (+ x.im (* x.im (- 2 (* x.im (* (/ x.im x.re) (/ 1 x.re)))))))>
#<alt (+ x.im (* x.im (- 2 (* x.im (* (/ x.im x.re) (/ 1 x.re))))))>
#<alt (* x.im (- 2 (* x.im (* (/ x.im x.re) (/ 1 x.re)))))>
#<alt (* x.re (* (* x.im 3) x.re))>
#<alt (* (* x.im 3) x.re)>
#<alt (* x.im 3)>
#<alt (* x.re (* x.im (- 0 (/ (* x.im x.im) x.re))))>
#<alt (* x.im (- 0 (/ (* x.im x.im) x.re)))>
#<alt (- 0 (/ (* x.im x.im) x.re))>
#<alt (/ (* x.im x.im) x.re)>
#<alt (* (/ (- 0 (* x.im (* x.im (* x.im x.im)))) (+ 0 (* x.im x.im))) x.im)>
#<alt (/ (- 0 (* x.im (* x.im (* x.im x.im)))) (+ 0 (* x.im x.im)))>
#<alt (+ 0 (* x.im x.im))>
#<alt (- 0 (* x.im (* x.im (* x.im x.im))))>
#<alt (/ 1 (/ (* x.im x.im) (neg (/ (* (* x.im x.im) (* x.im (* x.im (* x.im x.im)))) x.im))))>
#<alt (/ (* x.im x.im) (neg (/ (* (* 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 (neg (/ (* (* x.im x.im) (* x.im (* x.im (* x.im x.im)))) x.im))>
#<alt (* x.im (* (/ x.im x.re) (/ 1 x.re)))>
#<alt (* x.im x.im)>
#<alt (* x.im (* x.im x.im))>
#<alt (* x.im (* x.im (* x.im x.im)))>

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

102 calls:

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

rewrite342.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

3456×	`/-lowering-/.f32`
3456×	`/-lowering-/.f64`
2540×	`-lowering-.f32`
2540×	`-lowering-.f64`
1454×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	184
1	217	135
2	1944	120
0	8402	120

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 1018

Calls

Call 1

Inputs
(* x.re (* x.re (+ x.im (* x.im (- 2 (* x.im (* (/ x.im x.re) (/ 1 x.re))))))))
(* x.re (+ x.im (* x.im (- 2 (* x.im (* (/ x.im x.re) (/ 1 x.re)))))))
(+ x.im (* x.im (- 2 (* x.im (* (/ x.im x.re) (/ 1 x.re))))))
(* x.im (- 2 (* x.im (* (/ x.im x.re) (/ 1 x.re)))))
(* x.re (* (* x.im 3) x.re))
(* (* x.im 3) x.re)
(* x.im 3)
(* x.re (* x.im (- 0 (/ (* x.im x.im) x.re))))
(* x.im (- 0 (/ (* x.im x.im) x.re)))
(- 0 (/ (* x.im x.im) x.re))
(/ (* x.im x.im) x.re)
(* (/ (- 0 (* x.im (* x.im (* x.im x.im)))) (+ 0 (* x.im x.im))) x.im)
(/ (- 0 (* x.im (* x.im (* x.im x.im)))) (+ 0 (* x.im x.im)))
(+ 0 (* x.im x.im))
(- 0 (* x.im (* x.im (* x.im x.im))))
(/ 1 (/ (* x.im x.im) (neg (/ (* (* 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)
(neg (/ (* (* x.im x.im) (* x.im (* x.im (* x.im x.im)))) x.im))
(* x.im (* (/ x.im x.re) (/ 1 x.re)))
(* x.im x.im)
(* x.im (* x.im x.im))
(* x.im (* x.im (* x.im x.im)))

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

simplify300.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

4686×	`-lowering-.f32`
4686×	`-lowering-.f64`
1530×	`times-frac`
1432×	`fnmadd-define`
1238×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	2616
1	294	2226
2	992	2148
3	3737	2136
0	8222	2136

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

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

eval250.0ms (3%)

Compiler: Compiled 48769 to 5671 computations (88.4% saved)

prune233.0ms (2.8%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	1949	6	1955
Fresh	4	1	5
Picked	4	1	5
Done	0	3	3
Total	1957	11	1968

Accuracy

100.0%

Counts

1968 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.3%	(/.f64 x.im (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
	61.9%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)) x.im))
	61.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.im x.im))))
	51.1%	(.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
✓	48.3%	(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
✓	62.4%	(.f64 (neg.f64 (.f64 x.im x.im)) x.im)
	29.5%	(.f64 x.re (/.f64 (-.f64 (.f64 (.f64 x.re x.im) (.f64 x.re x.im)) (.f64 (.f64 x.re (.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)))) (.f64 x.re (.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)))))) (-.f64 (.f64 x.re x.im) (.f64 x.re (.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))))))
✓	51.2%	(.f64 x.re (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re))
	57.2%	(.f64 x.re (.f64 x.im (*.f64 x.im (neg.f64 (/.f64 x.im x.re)))))
	57.2%	(.f64 x.re (.f64 x.im (neg.f64 (/.f64 (*.f64 x.im x.im) x.re))))
✓	48.3%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))

Compiler

Compiled 712 to 218 computations (69.4% saved)

regimes36.0ms (0.4%)

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

12.0ms	x.im
9.0ms	x.re
9.0ms	(+.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))

Results

Accuracy	Segments	Branch
99.8%	2	`x.re`
99.8%	2	`x.im`
99.9%	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)

regimes12.0ms (0.1%)

Counts

32 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

9.0ms

(+.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))

Results

Accuracy	Segments	Branch
99.9%	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 21 to 11 computations (47.6% saved)

regimes9.0ms (0.1%)

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

x.re

Results

Accuracy	Segments	Branch
99.8%	2	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.2%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x.im
6.0ms	x.re

Results

Accuracy	Segments	Branch
97.2%	3	`x.im`
99.9%	3	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

x.re

Results

Accuracy	Segments	Branch
97.9%	2	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x.re
4.0ms	x.im

Results

Accuracy	Segments	Branch
81.3%	2	`x.im`
85.3%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

Inputs
(.f64 (neg.f64 (.f64 x.im 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
(.f64 (neg.f64 (.f64 x.im 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
85.3%	2	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

x.re

Results

Accuracy	Segments	Branch
82.4%	2	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	x.im
1.0ms	x.re

Results

Accuracy	Segments	Branch
62.4%	1	`x.im`
62.4%	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	0.0	4.2475e-320

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.013975659795039e+295	+inf

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
14.0ms	800767095.6204323	255005203540316.34

Results

11.0ms

112×

valid

Compiler

Compiled 278 to 176 computations (36.7% saved)

Precisions

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

ival-mult: 5.0ms (75.8% of total)

ival-sub: 1.0ms (15.2% of total)

ival-add: 1.0ms (15.2% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
14.0ms	5.956319705062388e+251	1.0750695693411145e+254
12.0ms	800767095.6204323	255005203540316.34

Results

19.0ms

192×

valid

Compiler

Compiled 406 to 253 computations (37.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 8.0ms (63.7% of total)

ival-add: 3.0ms (23.9% of total)

ival-sub: 1.0ms (8% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	3.630516835411488e+153	9.863502176735331e+160

Results

13.0ms

144×

valid

Compiler

Compiled 242 to 159 computations (34.3% saved)

Precisions

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

ival-mult: 6.0ms (73.6% of total)

ival-sub: 1.0ms (12.3% of total)

ival-add: 1.0ms (12.3% of total)

const: 0.0ms (0% of total)

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

bsearch44.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
43.0ms	5.724356247481417e+54	1.8791960561566012e+61

Results

38.0ms

144×

valid

Compiler

Compiled 197 to 132 computations (33% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 31.0ms (94.6% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	5.724356247481417e+54	1.8791960561566012e+61

Results

13.0ms

144×

valid

Compiler

Compiled 197 to 132 computations (33% saved)

Precisions

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

ival-mult: 6.0ms (71.8% of total)

ival-sub: 1.0ms (12% of total)

ival-add: 1.0ms (12% of total)

const: 0.0ms (0% of total)

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

bsearch37.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	5.724356247481417e+54	1.8791960561566012e+61

Results

13.0ms

144×

valid

Compiler

Compiled 197 to 132 computations (33% saved)

Precisions

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

ival-mult: 6.0ms (74.1% of total)

ival-sub: 1.0ms (12.3% of total)

ival-add: 1.0ms (12.3% of total)

const: 0.0ms (0% of total)

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

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

74×	`*-commutative_binary64`
70×	`neg-mul-1_binary64`
62×	`unsub-neg_binary64`
40×	`+-commutative_binary64`
34×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	261
1	125	261
2	153	261
3	179	261
4	198	261
5	207	261
6	213	261
7	260	261
8	336	261

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 0 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 x.re (.f64 x.re (+.f64 x.im (.f64 x.im (-.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 (/.f64 x.im x.re) (/.f64 #s(literal 1 binary64) x.re)))))))))
(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 49999999999999999067433886031150207889077803599102906650492418602234239416397504199421488633914272903686813485020112907863851468435224679550077644800840247494436036119701023420994481322281698292439439757422900024513792605502072322454919813065954179431216451302123639622852552650706902919225016320 binary64)) (+.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 x.re (.f64 x.re (+.f64 x.im (.f64 x.im (-.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 (/.f64 x.im x.re) (/.f64 #s(literal 1 binary64) x.re)))))))))
(if (<=.f64 x.re #s(literal 15000000000 binary64)) (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (.f64 x.re (.f64 x.re (+.f64 x.im (.f64 x.im (-.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 (/.f64 x.im x.re) (/.f64 #s(literal 1 binary64) x.re)))))))))
(if (<=.f64 x.re #s(literal 10000000000 binary64)) (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (if (<=.f64 x.re #s(literal 11000000000000000276705703006828412939734067716761328549950092166188331338903556198905367952487840312551433750414431819747039352666793100258891918453003375310050875901142294958412097242767624441354198459176111994512164339653443650027015436215669940551680 binary64)) (.f64 x.re (.f64 x.re (+.f64 x.im (.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)))))) (.f64 (.f64 x.re (*.f64 x.im x.re)) #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 x.re (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re)))
(if (<=.f64 x.re #s(literal 8199999999999999348917637018123038346080446218346954752 binary64)) (.f64 (neg.f64 (.f64 x.im x.im)) x.im) (.f64 x.re (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re)))
(if (<=.f64 x.re #s(literal 13499999999999998845100410475949279359187415741969203200 binary64)) (.f64 (neg.f64 (.f64 x.im x.im)) x.im) (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))))
(if (<=.f64 x.re #s(literal 32000000000000001547094147697717089840908635068496456187904 binary64)) (.f64 (neg.f64 (.f64 x.im x.im)) x.im) (.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(.f64 (neg.f64 (.f64 x.im 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 0 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 x.re (.f64 x.re (+.f64 x.im (.f64 x.im (-.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 (/.f64 x.im x.re) (/.f64 #s(literal 1 binary64) x.re)))))))))
(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 0 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 x.re (.f64 x.re (+.f64 x.im (.f64 x.im (+.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 (/.f64 x.im x.re) (/.f64 #s(literal -1 binary64) x.re)))))))))
(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 49999999999999999067433886031150207889077803599102906650492418602234239416397504199421488633914272903686813485020112907863851468435224679550077644800840247494436036119701023420994481322281698292439439757422900024513792605502072322454919813065954179431216451302123639622852552650706902919225016320 binary64)) (+.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 x.re (.f64 x.re (+.f64 x.im (.f64 x.im (-.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 (/.f64 x.im x.re) (/.f64 #s(literal 1 binary64) x.re)))))))))
(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 49999999999999999067433886031150207889077803599102906650492418602234239416397504199421488633914272903686813485020112907863851468435224679550077644800840247494436036119701023420994481322281698292439439757422900024513792605502072322454919813065954179431216451302123639622852552650706902919225016320 binary64)) (+.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)))) (.f64 x.re (.f64 x.re (+.f64 x.im (.f64 x.im (+.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 (/.f64 x.im x.re) (/.f64 #s(literal -1 binary64) x.re)))))))))
(if (<=.f64 x.re #s(literal 15000000000 binary64)) (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (.f64 x.re (.f64 x.re (+.f64 x.im (.f64 x.im (-.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 (/.f64 x.im x.re) (/.f64 #s(literal 1 binary64) x.re)))))))))
(if (<=.f64 x.re #s(literal 15000000000 binary64)) (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (.f64 x.re (.f64 x.re (+.f64 x.im (.f64 x.im (+.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 (/.f64 x.im x.re) (/.f64 #s(literal -1 binary64) x.re)))))))))
(if (<=.f64 x.re #s(literal 10000000000 binary64)) (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (if (<=.f64 x.re #s(literal 11000000000000000276705703006828412939734067716761328549950092166188331338903556198905367952487840312551433750414431819747039352666793100258891918453003375310050875901142294958412097242767624441354198459176111994512164339653443650027015436215669940551680 binary64)) (.f64 x.re (.f64 x.re (+.f64 x.im (.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)))))) (.f64 (.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))))
(if (<=.f64 x.re #s(literal 10000000000 binary64)) (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (if (<=.f64 x.re #s(literal 11000000000000000276705703006828412939734067716761328549950092166188331338903556198905367952487840312551433750414431819747039352666793100258891918453003375310050875901142294958412097242767624441354198459176111994512164339653443650027015436215669940551680 binary64)) (.f64 x.re (.f64 x.re (+.f64 x.im (.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)))))) (.f64 #s(literal 3 binary64) (.f64 x.re (*.f64 x.re 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 x.re (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re)))
(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 x.re (.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
(if (<=.f64 x.re #s(literal 8199999999999999348917637018123038346080446218346954752 binary64)) (.f64 (neg.f64 (.f64 x.im x.im)) x.im) (.f64 x.re (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re)))
(if (<=.f64 x.re #s(literal 8199999999999999348917637018123038346080446218346954752 binary64)) (.f64 (.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im)) (.f64 x.re (.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
(if (<=.f64 x.re #s(literal 13499999999999998845100410475949279359187415741969203200 binary64)) (.f64 (neg.f64 (.f64 x.im x.im)) x.im) (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))))
(if (<=.f64 x.re #s(literal 13499999999999998845100410475949279359187415741969203200 binary64)) (.f64 (.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im)) (.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
(if (<=.f64 x.re #s(literal 32000000000000001547094147697717089840908635068496456187904 binary64)) (.f64 (neg.f64 (.f64 x.im x.im)) x.im) (.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
(if (<=.f64 x.re #s(literal 32000000000000001547094147697717089840908635068496456187904 binary64)) (.f64 (.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im)) (.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64))))
(.f64 (neg.f64 (.f64 x.im x.im)) x.im)
(.f64 (.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im))

soundness1.6s (19.1%)

Rules

4114×	`-lowering-.f32`
4114×	`-lowering-.f64`
3796×	`-lowering-.f32`
3796×	`-lowering-.f64`
3398×	`/-lowering-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	16	66
1	102	55
0	833	55
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	32	159
1	199	136
2	1727	128
0	8792	128
0	114	1944
1	429	1614
2	1739	1522
3	7171	1512
0	8067	1512
0	78	1509
1	254	1236
2	800	1206
3	3574	1206
0	8819	1206
0	23	91
1	131	75
0	1072	75

Stop Event

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

Compiler

Compiled 740 to 364 computations (50.8% saved)

preprocess406.0ms (4.8%)

Remove: (abs x.re)
Compiler: Compiled 1192 to 514 computations (56.9% saved)

Iter	Nodes	Cost
0	74	261
1	125	261
2	153	261
3	179	261
4	198	261
5	207	261
6	213	261
7	260	261
8	336	261

Iter	Nodes	Cost
0	74	261
1	125	261
2	153	261
3	179	261
4	198	261
5	207	261
6	213	261
7	260	261
8	336	261

analyze0.0ms (0%)

sample1.1s (13.6%)

preprocess251.0ms (3%)

explain202.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify191.0ms (2.3%)

localize91.0ms (1.1%)

series27.0ms (0.3%)

rewrite102.0ms (1.2%)

simplify269.0ms (3.2%)

eval45.0ms (0.5%)

prune40.0ms (0.5%)

simplify217.0ms (2.6%)

localize225.0ms (2.7%)

series10.0ms (0.1%)

rewrite126.0ms (1.5%)

simplify236.0ms (2.8%)

eval72.0ms (0.8%)

prune56.0ms (0.7%)

simplify188.0ms (2.2%)

localize264.0ms (3.1%)

series24.0ms (0.3%)

rewrite358.0ms (4.2%)

simplify281.0ms (3.3%)

eval145.0ms (1.7%)

prune97.0ms (1.1%)

simplify152.0ms (1.8%)

localize201.0ms (2.4%)

series11.0ms (0.1%)

rewrite342.0ms (4%)

simplify300.0ms (3.5%)

eval250.0ms (3%)

prune233.0ms (2.8%)

regimes36.0ms (0.4%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes14.0ms (0.2%)

regimes6.0ms (0.1%)

regimes12.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch16.0ms (0.2%)

bsearch29.0ms (0.3%)

bsearch20.0ms (0.2%)

bsearch44.0ms (0.5%)

bsearch20.0ms (0.2%)

bsearch37.0ms (0.4%)

simplify18.0ms (0.2%)

soundness1.6s (19.1%)

preprocess406.0ms (4.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	74	261
1	125	261
2	153	261
3	179	261
4	198	261
5	207	261
6	213	261
7	260	261
8	336	261