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)

sample1.3s (13.8%)

Results

1.0s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 711.0ms

ival-mult: 469.0ms (65.9% of total)

ival-add: 150.0ms (21.1% of total)

ival-sub: 82.0ms (11.5% of total)

const: 7.0ms (1% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess237.0ms (2.5%)

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)

explain174.0ms (1.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
19	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`
16	-	-	`(+.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))`
8	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
0	-	-	`x.im`
0	-	-	`x.re`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.im)`

Results

84.0ms

512×

valid

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions

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

ival-mult: 22.0ms (67.6% of total)

ival-add: 7.0ms (21.5% of total)

ival-sub: 3.0ms (9.2% of total)

const: 1.0ms (3.1% 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
▶	85.5%	(+.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))
▶	89.7%	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))

Status

Accuracy

Program

▶

85.5%

(+.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))

▶

89.7%

(*.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)

simplify176.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.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)

localize95.0ms (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	97.1%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	93.7%	(+.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	92.9%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
✓	accuracy	97.1%	(-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
✓	accuracy	92.9%	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))

Results

74.0ms

256×

valid

Compiler

Compiled 102 to 17 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 15.0ms (75.4% of total)

ival-sub: 2.0ms (10.1% of total)

ival-add: 2.0ms (10.1% of total)

const: 0.0ms (0% of total)

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

series19.0ms (0.2%)

Counts

10 → 204

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Point	Expression
4.0ms	x.im	@	inf	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms	x.re	@	0	(+ (* x.re x.im) (* x.im x.re))
1.0ms	x.im	@	0	(* x.im (- (* x.re (* x.re 3)) (* x.im x.im)))
1.0ms	x.re	@	0	(* x.re 3)
1.0ms	x.im	@	0	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite102.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

10 → 122

Calls

Call 1

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

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

simplify286.0ms (3%)

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)))))

eval33.0ms (0.4%)

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

prune31.0ms (0.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	331	11	342
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	332	12	344

Accuracy

99.9%

Counts

344 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.9%	(/.f64 (.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) x.im) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
▶	59.2%	(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
	85.5%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 x.im (.f64 #s(literal 2 binary64) (.f64 x.re x.re))))
▶	93.5%	(+.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))
	48.7%	(+.f64 (.f64 (.f64 x.re x.re) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	75.8%	(.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))))
	55.6%	(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
	21.1%	(.f64 x.im (/.f64 (+.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) #s(literal 27 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (.f64 x.im x.im))) (.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))))))
	43.5%	(.f64 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)))))))
✓	89.7%	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
	43.5%	(.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)))))
▶	48.7%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))

Compiler

Compiled 531 to 286 computations (46.1% saved)

simplify226.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64))
✓	cost-diff	0	(-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (*.f64 x.im x.im))))
✓	cost-diff	0	(.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) x.im)
✓	cost-diff	0	(/.f64 (.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) x.im) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 x.re x.re) x.im)) x.im))
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	256	(.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)))
✓	cost-diff	384	(.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))))
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(.f64 x.im (.f64 x.im x.im))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
✓	cost-diff	0	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
✓	cost-diff	0	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
✓	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	cost-diff	256	(+.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

2784×	`-lowering-.f32`
2784×	`-lowering-.f64`
1856×	`fma-lowering-fma.f32`
1856×	`fma-lowering-fma.f64`
1640×	`fmsub-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	240
1	105	210
2	291	208
3	813	202
4	2512	198
5	7214	198
0	8533	198

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(* (+ x.im x.re) (* (- x.re x.im) x.im))
(+ x.im x.re)
x.im
x.re
(* (- x.re x.im) x.im)
(- x.re x.im)
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(+ (* x.re x.im) (* x.im x.re))
(* x.re x.im)
(* x.im x.re)
(* x.im (* 3 (* x.re x.re)))
x.im
(* 3 (* x.re x.re))
3
(* x.re x.re)
x.re
(- 0 (* x.im (* x.im x.im)))
0
(* x.im (* x.im x.im))
x.im
(* x.im x.im)
(* (* x.im x.im) (* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im))))
(* x.im x.im)
x.im
(* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im)))
(+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im))
-1
(/ (* 3 (/ (* x.re x.re) x.im)) x.im)
(* 3 (/ (* x.re x.re) x.im))
3
(/ (* x.re x.re) x.im)
(* x.re x.re)
x.re
(/ (* (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) x.im) (+ (* x.re (* x.re 3)) (* x.im x.im)))
(* (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) x.im)
(- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im))))
(* (* x.re (* x.re (* x.re x.re))) 9)
(* x.re (* x.re (* x.re x.re)))
x.re
(* x.re (* x.re x.re))
(* x.re x.re)
9
(* x.im (* x.im (* x.im x.im)))
x.im
(* x.im (* x.im x.im))
(* x.im x.im)
(+ (* x.re (* x.re 3)) (* x.im x.im))
(* x.re (* x.re 3))
(* x.re 3)
3

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

localize227.0ms (2.4%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
✓	accuracy	95.9%	(.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) x.im)
✓	accuracy	91.1%	(-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (*.f64 x.im x.im))))
✓	accuracy	48.0%	(/.f64 (.f64 (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) x.im) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
✓	accuracy	94.9%	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 (.f64 x.re x.re) x.im)) x.im)
✓	accuracy	92.6%	(.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.re x.re) x.im)) x.im)))
✓	accuracy	90.6%	(/.f64 (*.f64 x.re x.re) x.im)
✓	accuracy	83.7%	(.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))))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
✓	accuracy	85.3%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
✓	accuracy	100.0%	(*.f64 (-.f64 x.re x.im) x.im)
✓	accuracy	99.8%	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	93.7%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Results

176.0ms

256×

valid

Compiler

Compiled 298 to 38 computations (87.2% saved)

Precisions

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

ival-mult: 37.0ms (68.7% of total)

ival-add: 7.0ms (13% of total)

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

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

const: 1.0ms (1.9% of total)

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

series46.0ms (0.5%)

Counts

21 → 420

Calls

Call 1

Inputs
#<alt (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))>
#<alt (* (+ (* x.re x.im) (* x.im x.re)) x.re)>
#<alt (+ (* x.re x.im) (* x.im x.re))>
#<alt (* (+ x.im x.re) (* (- x.re x.im) x.im))>
#<alt (* x.im (* 3 (* x.re x.re)))>
#<alt (* 3 (* x.re x.re))>
#<alt (* x.re x.re)>
#<alt (- 0 (* x.im (* x.im x.im)))>
#<alt (* x.im (* x.im x.im))>
#<alt (* x.im x.im)>
#<alt (* (* x.im x.im) (* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im))))>
#<alt (* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im)))>
#<alt (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im))>
#<alt (/ (* (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) x.im) (+ (* x.re (* x.re 3)) (* x.im x.im)))>
#<alt (* (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) x.im)>
#<alt (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im))))>
#<alt (* (* x.re (* x.re (* x.re x.re))) 9)>
#<alt (* (- x.re x.im) x.im)>
#<alt (/ (* x.re x.re) x.im)>
#<alt (/ (* 3 (/ (* x.re x.re) x.im)) x.im)>
#<alt (* x.re (* x.re 3))>

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

Calls

105 calls:

Time	Variable		Point	Expression
20.0ms	x.im	@	0	(- 0 (* x.im (* x.im x.im)))
2.0ms	x.im	@	-inf	(* x.im (+ -1 (/ (* 3 (/ (* x.re x.re) x.im)) x.im)))
1.0ms	x.im	@	0	(/ (* (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) x.im) (+ (* x.re (* x.re 3)) (* x.im x.im)))
1.0ms	x.im	@	inf	(/ (* (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) x.im) (+ (* x.re (* x.re 3)) (* x.im x.im)))
1.0ms	x.re	@	0	(/ (* (- (* (* x.re (* x.re (* x.re x.re))) 9) (* x.im (* x.im (* x.im x.im)))) x.im) (+ (* x.re (* x.re 3)) (* x.im x.im)))

rewrite414.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3770×	`-lowering-.f32`
3770×	`-lowering-.f64`
3294×	`/-lowering-/.f32`
3294×	`/-lowering-/.f64`
1848×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	173
1	227	129
2	1956	129
0	8936	129

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 676

Calls

Call 1

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

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

simplify252.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2572×	`-lowering-.f32`
2572×	`-lowering-.f64`
2180×	`fma-lowering-fma.f32`
2180×	`fma-lowering-fma.f64`
1984×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	190	3946
1	669	3142
2	2470	2723
3	7793	2703
0	8672	2703

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

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

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

eval173.0ms (1.8%)

Compiler: Compiled 37257 to 2761 computations (92.6% saved)

prune134.0ms (1.4%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	1245	15	1260
Fresh	6	0	6
Picked	4	1	5
Done	0	1	1
Total	1255	17	1272

Accuracy

100.0%

Counts

1272 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.2%	(pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64))
	11.5%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) (.f64 x.im x.im)))) (.f64 x.im (*.f64 x.im x.im)))
▶	25.1%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im x.im))) (.f64 x.im x.im)) (/.f64 x.im x.im)))
	27.0%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) x.im) (/.f64 (.f64 x.im x.im) (.f64 x.im x.im))))
	18.3%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 x.im x.re) x.re) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x.im x.re) x.re) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x.im x.re) x.re) (.f64 (.f64 x.im x.re) x.re)) (-.f64 (.f64 (.f64 (.f64 x.im x.re) x.re) (.f64 (.f64 x.im x.re) x.re)) (.f64 (.f64 (.f64 x.im x.re) x.re) (.f64 (*.f64 x.im x.re) x.re))))))
▶	93.5%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
▶	91.3%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	38.9%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.im x.im) (.f64 #s(literal 3 binary64) (.f64 x.re x.re)))) (.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re x.re) #s(literal 9 binary64))) (.f64 (.f64 x.im x.im) (.f64 x.im x.im)))))
	52.7%	(.f64 (.f64 (/.f64 x.im (+.f64 (.f64 x.im x.im) (.f64 #s(literal 3 binary64) (.f64 x.re x.re)))) (+.f64 (.f64 x.im x.im) (.f64 #s(literal 3 binary64) (.f64 x.re x.re)))) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im)))
▶	55.6%	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
	60.4%	(.f64 (.f64 x.re x.re) (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
	55.6%	(.f64 (.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re))
	55.6%	(.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
	42.7%	(.f64 (.f64 x.im x.im) (.f64 x.im (.f64 (.f64 x.re x.re) (+.f64 (/.f64 #s(literal 3 binary64) (.f64 x.im x.im)) (/.f64 #s(literal -1 binary64) (*.f64 x.re x.re))))))
▶	59.2%	(.f64 (neg.f64 (.f64 x.im x.im)) x.im)
✓	89.7%	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
✓	48.7%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))

Compiler

Compiled 658 to 304 computations (53.8% saved)

simplify193.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

2592×	`-lowering-.f32`
2592×	`-lowering-.f64`
1782×	`--lowering--.f32`
1782×	`--lowering--.f64`
1662×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	210
1	110	196
2	312	180
3	1188	172
4	3996	172
5	6699	172
0	8082	172

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize196.0ms (2.1%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (+.f64 x.im x.re) (.f64 x.re (*.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	93.7%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
✓	accuracy	92.6%	(.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.9%	(.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im x.im)))
✓	accuracy	99.8%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	48.9%	(/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im x.im))) (*.f64 x.im x.im))
✓	accuracy	100.0%	(*.f64 x.im #s(literal 3 binary64))
✓	accuracy	99.7%	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
✓	accuracy	99.7%	(.f64 (.f64 x.im #s(literal 3 binary64)) x.re)
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	100.0%	(neg.f64 (*.f64 x.im x.im))
✓	accuracy	99.8%	(.f64 (neg.f64 (.f64 x.im x.im)) x.im)
✓	accuracy	100.0%	(*.f64 (-.f64 x.re x.im) x.im)
✓	accuracy	99.8%	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
✓	accuracy	99.8%	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
✓	accuracy	93.7%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))

Results

155.0ms

256×

valid

Compiler

Compiled 248 to 36 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 63.0ms (76.6% of total)

ival-div: 7.0ms (8.5% of total)

ival-add: 6.0ms (7.3% of total)

ival-sub: 4.0ms (4.9% of total)

const: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

series17.0ms (0.2%)

Counts

22 → 408

Calls

Call 1

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

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

Calls

102 calls:

Time	Variable		Point	Expression
3.0ms	x.im	@	0	(* (- x.re x.im) x.im)
1.0ms	x.im	@	0	(+ (* (+ x.im x.re) (* x.re (* x.im (- 1 (/ x.im x.re))))) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms	x.im	@	inf	(+ (* (+ x.im x.re) (* x.re (* x.im (- 1 (/ x.im x.re))))) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms	x.im	@	-inf	(+ (* (+ x.im x.re) (* x.re (* x.im (- 1 (/ x.im x.re))))) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0ms	x.re	@	-inf	(+ (* (+ x.im x.re) (* x.re (* x.im (- 1 (/ x.im x.re))))) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite382.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

3618×	`/-lowering-/.f32`
3618×	`/-lowering-/.f64`
3514×	`-lowering-.f32`
3514×	`-lowering-.f64`
1310×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	164
1	223	121
2	1760	112
0	8759	112

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1395

Calls

Call 1

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

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

simplify203.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2634×	`-lowering-.f32`
2634×	`-lowering-.f64`
2088×	`+-lowering-+.f64`
2088×	`+-lowering-+.f32`
1300×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	2975
1	577	2399
2	2240	2143
0	8422	2143

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

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

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

eval217.0ms (2.3%)

Compiler: Compiled 51531 to 3763 computations (92.7% saved)

prune278.0ms (2.9%)

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	1961	8	1969
Fresh	4	6	10
Picked	3	2	5
Done	0	2	2
Total	1968	18	1986

Accuracy

100.0%

Counts

1986 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.2%	(pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64))
	25.0%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (*.f64 x.im x.im))
	25.1%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im x.im))) (.f64 x.im x.im)) #s(literal 1 binary64)))
▶	27.0%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) x.im) (/.f64 (.f64 x.im x.im) (.f64 x.im x.im))))
	26.6%	(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) (.f64 x.im x.im)))))
	18.3%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 x.im x.re) x.re) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x.im x.re) x.re) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x.im x.re) x.re) (.f64 (.f64 x.im x.re) x.re)) (-.f64 (.f64 (.f64 (.f64 x.im x.re) x.re) (.f64 (.f64 x.im x.re) x.re)) (.f64 (.f64 (.f64 x.im x.re) x.re) (.f64 (*.f64 x.im x.re) x.re))))))
	55.3%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
▶	82.5%	(+.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	55.6%	(.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re)
✓	55.6%	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
▶	60.4%	(.f64 (.f64 x.re x.re) (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
▶	55.6%	(.f64 (.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re))
▶	24.6%	(.f64 (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x.im x.im))))
	42.7%	(.f64 (.f64 x.im x.im) (.f64 x.im (.f64 (.f64 x.re x.re) (+.f64 (/.f64 #s(literal 3 binary64) (.f64 x.im x.im)) (/.f64 #s(literal -1 binary64) (*.f64 x.re x.re))))))
	59.1%	(.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 x.im (.f64 x.im (*.f64 x.im x.im))))) x.im)
✓	59.2%	(.f64 (neg.f64 (.f64 x.im x.im)) x.im)
✓	89.7%	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
✓	48.7%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))

Compiler

Compiled 595 to 297 computations (50.1% saved)

simplify188.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(/.f64 (.f64 (.f64 x.im x.im) (*.f64 x.im x.im)) x.im)
✓	cost-diff	384	(/.f64 (.f64 x.im x.im) (.f64 x.im x.im))
✓	cost-diff	768	(.f64 (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) x.im) (/.f64 (.f64 x.im x.im) (.f64 x.im x.im)))
✓	cost-diff	768	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) x.im) (/.f64 (.f64 x.im x.im) (.f64 x.im x.im))))
✓	cost-diff	0	(.f64 x.im (.f64 x.im (*.f64 x.im x.im)))
✓	cost-diff	0	(.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im))))
✓	cost-diff	64	(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))
✓	cost-diff	576	(.f64 (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x.im x.im))))
✓	cost-diff	0	(-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)))
✓	cost-diff	0	(.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(.f64 (.f64 x.re x.re) (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
✓	cost-diff	0	(*.f64 x.im x.re)
✓	cost-diff	0	(*.f64 x.re #s(literal 3 binary64))
✓	cost-diff	0	(.f64 (.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re))
✓	cost-diff	0	(.f64 (.f64 x.re (+.f64 x.im x.re)) (*.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
✓	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	cost-diff	384	(+.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Rules

2692×	`-lowering-.f32`
2692×	`-lowering-.f64`
1954×	`sum4-define`
1910×	`sum5-define`
1574×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	192
1	117	181
2	362	167
3	1358	164
4	4374	163
0	8604	163

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize269.0ms (2.8%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.7%	(.f64 (.f64 x.im x.im) (*.f64 x.im x.im))
✓	accuracy	92.5%	(/.f64 (.f64 (.f64 x.im x.im) (*.f64 x.im x.im)) x.im)
✓	accuracy	57.6%	(/.f64 (.f64 x.im x.im) (.f64 x.im x.im))
✓	accuracy	99.9%	(.f64 x.im (.f64 x.im (*.f64 x.im x.im)))
✓	accuracy	99.8%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))
✓	accuracy	44.1%	(.f64 (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x.im x.im))))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.5%	(.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
✓	accuracy	79.2%	(/.f64 (.f64 x.im x.im) (.f64 x.re x.re))
✓	accuracy	70.6%	(.f64 (.f64 x.re x.re) (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
✓	accuracy	100.0%	(*.f64 x.re #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x.im x.re)
✓	accuracy	99.7%	(.f64 (.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re))
✓	accuracy	99.9%	(*.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	93.7%	(+.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
✓	accuracy	88.8%	(.f64 (.f64 x.re (+.f64 x.im x.re)) (*.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))

Results

170.0ms	243×	0	valid
9.0ms	5×	3	valid
5.0ms	2×	2	valid
5.0ms	2×	4	valid
4.0ms	4×	1	valid

Compiler

Compiled 271 to 36 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 33.0ms (58.7% of total)

ival-div: 10.0ms (17.8% of total)

ival-add: 5.0ms (8.9% of total)

ival-sub: 4.0ms (7.1% of total)

backward-pass: 3.0ms (5.3% of total)

ival-neg: 2.0ms (3.6% of total)

const: 1.0ms (1.8% of total)

series20.0ms (0.2%)

Counts

25 → 432

Calls

Call 1

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

108 calls:

Time	Variable		Point	Expression
9.0ms	x.im	@	inf	(* x.im (- 3 (/ (* x.im x.im) (* x.re x.re))))
1.0ms	x.re	@	0	(* (* x.re x.re) (* x.im (- 3 (/ (* x.im x.im) (* x.re x.re)))))
1.0ms	x.im	@	0	(* (* x.re x.re) (* x.im (- 3 (/ (* x.im x.im) (* x.re x.re)))))
1.0ms	x.im	@	inf	(* (* x.re x.re) (* x.im (- 3 (/ (* x.im x.im) (* x.re x.re)))))
0.0ms	x.re	@	inf	(* (* x.re x.re) (* x.im (- 3 (/ (* x.im x.im) (* x.re x.re)))))

rewrite401.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4480×	`-lowering-.f32`
4480×	`-lowering-.f64`
2486×	`/-lowering-/.f32`
2486×	`/-lowering-/.f64`
2084×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	165
1	224	134
2	1733	123
0	9146	123

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 664

Calls

Call 1

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

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

simplify304.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

3286×	`-lowering-.f32`
3286×	`-lowering-.f64`
2174×	`sum3-define`
2152×	`fma-lowering-fma.f32`
2152×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	2759
1	439	2281
2	1520	2098
3	6021	2098
0	8407	2098

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

eval162.0ms (1.7%)

Compiler: Compiled 25416 to 2183 computations (91.4% saved)

prune208.0ms (2.2%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	1337	9	1346
Fresh	6	3	9
Picked	3	2	5
Done	0	4	4
Total	1346	18	1364

Accuracy

100.0%

Counts

1364 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.2%	(pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64))
	36.6%	(/.f64 (.f64 (.f64 x.re (.f64 x.re x.im)) (-.f64 #s(literal 27 binary64) (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re x.re) (.f64 x.re x.re)))))) (+.f64 #s(literal 9 binary64) (.f64 (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re)))))
	25.0%	(/.f64 (neg.f64 (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (*.f64 x.im x.im))
	56.0%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) x.im) #s(literal 1 binary64)))
	24.6%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x.im x.im)) (.f64 x.im (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))
	85.2%	(.f64 (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re)) (.f64 x.re (.f64 x.re x.im)))
	26.6%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x.im x.im)) x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))
	55.6%	(.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
	55.6%	(.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re)
	24.7%	(.f64 (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.im x.im)) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x.im x.im))))
✓	55.6%	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
	90.4%	(.f64 (.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re)))) x.re)
✓	60.4%	(.f64 (.f64 x.re x.re) (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
✓	55.6%	(.f64 (.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re))
	59.1%	(.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 x.im (.f64 x.im (*.f64 x.im x.im))))) x.im)
✓	59.2%	(.f64 (neg.f64 (.f64 x.im x.im)) x.im)
✓	89.7%	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
✓	48.7%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))

Compiler

Compiled 1114 to 338 computations (69.7% saved)

regimes58.0ms (0.6%)

Counts

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

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

Calls

3 calls:

14.0ms	x.im
12.0ms	x.re
11.0ms	(+.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`
99.8%	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)

regimes41.0ms (0.4%)

Counts

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

Outputs

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

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

Calls

2 calls:

26.0ms	(+.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))
12.0ms	x.re

Results

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes9.0ms (0.1%)

Counts

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

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

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)

regimes12.0ms (0.1%)

Counts

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

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

Calls

2 calls:

5.0ms	x.re
5.0ms	x.im

Results

Accuracy	Segments	Branch
99.4%	3	`x.im`
99.8%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes255.0ms (2.7%)

Counts

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

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

Calls

2 calls:

249.0ms	x.im
5.0ms	x.re

Results

Accuracy	Segments	Branch
98.3%	3	`x.im`
97.8%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

9 → 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 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
(.f64 (.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re))
(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(.f64 (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re)
(.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))

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

2 calls:

3.0ms	x.re
3.0ms	x.im

Results

Accuracy	Segments	Branch
81.3%	2	`x.im`
85.7%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (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

2 calls:

2.0ms	x.re
1.0ms	x.im

Results

Accuracy	Segments	Branch
74.6%	2	`x.im`
78.8%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.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
59.2%	1	`x.im`
59.2%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch26.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	8.008572155794144e-80	3.6510668292994267e-78

Results

10.0ms

112×

valid

Compiler

Compiled 208 to 141 computations (32.2% saved)

Precisions

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

ival-mult: 4.0ms (66% of total)

ival-sub: 1.0ms (16.5% of total)

ival-add: 1.0ms (16.5% of total)

const: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.217064862352023e+202	1.3260132670269746e+203

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch9.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
8.0ms	0.35222543294665487	288.39235925188547

Results

6.0ms

64×

valid

Compiler

Compiled 154 to 95 computations (38.3% saved)

Precisions

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

ival-mult: 2.0ms (58.2% of total)

ival-add: 1.0ms (29.1% of total)

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

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.2471802982063077e+56	3.9976910353852414e+57

Results

10.0ms

112×

valid

Compiler

Compiled 250 to 155 computations (38% saved)

Precisions

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

ival-mult: 4.0ms (66.7% of total)

ival-sub: 1.0ms (16.7% of total)

ival-add: 1.0ms (16.7% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	4.8653375553083544e+151	8.529624068508843e+162

Results

25.0ms

160×

valid

Compiler

Compiled 266 to 175 computations (34.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (68.8% of total)

ival-sub: 1.0ms (11.5% of total)

ival-add: 1.0ms (11.5% of total)

const: 0.0ms (0% of total)

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

bsearch34.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	8.89028324869909e+27	1.7780317858974255e+28

Results

30.0ms

64×

valid

Compiler

Compiled 102 to 67 computations (34.3% saved)

Precisions

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

ival-mult: 2.0ms (58.8% of total)

ival-add: 1.0ms (29.4% of total)

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

const: 0.0ms (0% of total)

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

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	8.89028324869909e+27	1.7780317858974255e+28

Results

6.0ms

64×

valid

Compiler

Compiled 102 to 67 computations (34.3% saved)

Precisions

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

ival-mult: 2.0ms (59.1% of total)

ival-add: 1.0ms (29.6% of total)

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

const: 0.0ms (0% of total)

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

56×	`*-commutative_binary64`
26×	`+-commutative_binary64`
20×	`sub-neg_binary64`
14×	`neg-mul-1_binary64`
12×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	199
1	101	199
2	119	199
3	136	199
4	146	199
5	150	199
6	151	199

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.re #s(literal 3754664711579725/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re)) (.f64 x.re (.f64 x.re x.im))))
(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 99999999999999998876910787506329447650934459829549922997503484884029261182361866844442696946000689845185920534555642245481492613075738123641525387194542623914743194966239051177873087980216425864602058752 binary64)) (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 x.im (.f64 #s(literal 2 binary64) (.f64 x.re x.re)))) (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re)) (.f64 x.re (.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 100 binary64)) (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re)) (.f64 x.re (.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 2799999999999999995991080432733850726481266364441180504064 binary64)) (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (.f64 (.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re)))) 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 (.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re)))
(if (<=.f64 x.re #s(literal 9999999999999999583119736832 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 13000000000000000997371936768 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 x.re #s(literal 3754664711579725/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re)) (.f64 x.re (.f64 x.re x.im))))
(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 99999999999999998876910787506329447650934459829549922997503484884029261182361866844442696946000689845185920534555642245481492613075738123641525387194542623914743194966239051177873087980216425864602058752 binary64)) (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 x.im (.f64 #s(literal 2 binary64) (.f64 x.re x.re)))) (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re)) (.f64 x.re (.f64 x.re x.im))))
(if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal 99999999999999998876910787506329447650934459829549922997503484884029261182361866844442696946000689845185920534555642245481492613075738123641525387194542623914743194966239051177873087980216425864602058752 binary64)) (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (.f64 (.f64 x.re x.re) #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re)) (.f64 x.re (.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 100 binary64)) (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (.f64 (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re)) (.f64 x.re (.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 2799999999999999995991080432733850726481266364441180504064 binary64)) (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (.f64 (.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im (/.f64 x.im x.re)) x.re)))) x.re))
(if (<=.f64 x.re #s(literal 2799999999999999995991080432733850726481266364441180504064 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 #s(literal 3 binary64) (/.f64 (.f64 x.im (/.f64 x.im x.re)) 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 (.f64 x.re #s(literal 3 binary64)) (*.f64 x.im 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 (.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))))
(if (<=.f64 x.re #s(literal 9999999999999999583119736832 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 9999999999999999583119736832 binary64)) (.f64 x.im (.f64 x.im (-.f64 #s(literal 0 binary64) x.im))) (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 13000000000000000997371936768 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 13000000000000000997371936768 binary64)) (.f64 x.im (.f64 x.im (-.f64 #s(literal 0 binary64) 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)
(.f64 x.im (.f64 x.im (-.f64 #s(literal 0 binary64) x.im)))

soundness1.9s (19.7%)

Rules

4480×	`-lowering-.f32`
4480×	`-lowering-.f64`
4114×	`-lowering-.f32`
4114×	`-lowering-.f64`
3770×	`-lowering-.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	190	3946
1	669	3142
2	2470	2723
3	7793	2703
0	8672	2703
0	35	165
1	224	134
2	1733	123
0	9146	123
0	78	1509
1	254	1236
2	800	1206
3	3574	1206
0	8819	1206
0	37	173
1	227	129
2	1956	129
0	8936	129
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

Stop Event

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

Compiler

Compiled 617 to 310 computations (49.8% saved)

preprocess79.0ms (0.8%)

Remove: (negabs x.im)
Compiler: Compiled 802 to 354 computations (55.9% saved)

analyze0.0ms (0%)

sample1.3s (13.8%)

preprocess237.0ms (2.5%)

explain174.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify176.0ms (1.9%)

localize95.0ms (1%)

series19.0ms (0.2%)

rewrite102.0ms (1.1%)

simplify286.0ms (3%)

eval33.0ms (0.4%)

prune31.0ms (0.3%)

simplify226.0ms (2.4%)

localize227.0ms (2.4%)

series46.0ms (0.5%)

rewrite414.0ms (4.4%)

simplify252.0ms (2.7%)

eval173.0ms (1.8%)

prune134.0ms (1.4%)

simplify193.0ms (2%)

localize196.0ms (2.1%)

series17.0ms (0.2%)

rewrite382.0ms (4%)

simplify203.0ms (2.1%)

eval217.0ms (2.3%)

prune278.0ms (2.9%)

simplify188.0ms (2%)

localize269.0ms (2.8%)

series20.0ms (0.2%)

rewrite401.0ms (4.2%)

simplify304.0ms (3.2%)

eval162.0ms (1.7%)

prune208.0ms (2.2%)

regimes58.0ms (0.6%)

regimes41.0ms (0.4%)

regimes9.0ms (0.1%)

regimes12.0ms (0.1%)

regimes255.0ms (2.7%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch26.0ms (0.3%)

bsearch1.0ms (0%)

bsearch9.0ms (0.1%)

bsearch15.0ms (0.2%)

bsearch32.0ms (0.3%)

bsearch34.0ms (0.4%)

bsearch21.0ms (0.2%)

simplify13.0ms (0.1%)

soundness1.9s (19.7%)

preprocess79.0ms (0.8%)

end0.0ms (0%)

Profiling