Metrics for math.cube on complex, imaginary part

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 12 computations (45.5% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample1.1s (11.8%)

Results

878.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 571.0ms

ival-mult: 428.0ms (75% of total)

ival-add: 84.0ms (14.7% of total)

ival-sub: 48.0ms (8.4% of total)

const: 7.0ms (1.2% of total)

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

Bogosity

preprocess285.0ms (3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs x.re)

(negabs x.im)

explain143.0ms (1.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
19	-	1	(1.0703069389798611e-60 1.8684451409812775e-60)	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
17	-	0	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
11	-	0	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`
0	-	0	-	`x.im`
0	-	0	-	`x.re`
0	-	0	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`
0	-	0	-	`(*.f64 x.im x.re)`
0	-	0	-	`(*.f64 x.re x.re)`
0	-	0	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	0	-	`(*.f64 x.im x.im)`
0	-	0	-	`(*.f64 x.re x.im)`

Results

95.0ms

512×

valid

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions

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

ival-mult: 20.0ms (65.2% of total)

ival-add: 7.0ms (22.8% of total)

ival-sub: 3.0ms (9.8% of total)

const: 1.0ms (3.3% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.0%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	89.0%	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))

Status

Accuracy

Program

▶

86.0%

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

▶

89.0%

(*.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)

simplify223.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	cost-diff	384	(+.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)

localize98.0ms (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	95.8%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	accuracy	93.9%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	92.8%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
✓	accuracy	95.8%	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
✓	accuracy	93.9%	(-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))

Results

55.0ms

256×

valid

Compiler

Compiled 102 to 17 computations (83.3% saved)

Precisions

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

ival-mult: 17.0ms (78.2% of total)

ival-sub: 2.0ms (9.2% of total)

ival-add: 2.0ms (9.2% of total)

const: 0.0ms (0% of total)

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

series17.0ms (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))>
#<alt (* (- (* x.re x.re) (* x.im x.im)) x.im)>
#<alt (- (* x.re x.re) (* x.im x.im))>
#<alt (* x.im x.im)>
#<alt (* (+ (* x.re x.im) (* x.im x.re)) x.re)>

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

Calls

51 calls:

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

rewrite140.0ms (1.5%)

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

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.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))
(+.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))
(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 (.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)

simplify324.0ms (3.4%)

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	799	1206
3	3579	1206
0	8858	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 x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* 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))))))
(* -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))
(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)
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))

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

eval37.0ms (0.4%)

Compiler: Compiled 7311 to 456 computations (93.8% saved)

prune142.0ms (1.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

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

Accuracy

99.9%

Counts

344 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.4%	(/.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)))))
	35.2%	(/.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)))
▶	52.7%	(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
▶	65.3%	(+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	92.8%	(+.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))
▶	83.6%	(+.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))
	89.1%	(.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im)))
✓	89.0%	(.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))
	78.3%	(.f64 x.im (.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (.f64 #s(literal 3 binary64) (*.f64 x.re (/.f64 (/.f64 x.re x.im) x.im)))))))
	56.5%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
▶	56.5%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))

Compiler

Compiled 413 to 230 computations (44.3% saved)

simplify164.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

1950×	`+-lowering-+.f64`
1950×	`+-lowering-+.f32`
1928×	`fnmsub-define`
1926×	`-lowering-.f32`
1926×	`-lowering-.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	26	173
1	72	165
2	182	160
3	506	157
4	1821	148
5	4894	142
0	8052	142

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)
(* 3 (* x.im (* x.re x.re)))
3
(* x.im (* x.re x.re))
x.im
(* x.re x.re)
x.re
(- 0 (* x.im (* x.im x.im)))
0
(* x.im (* x.im x.im))
x.im
(* x.im x.im)
(+ (* (* x.re (* x.re 3)) x.im) (* (- 0 (* x.im x.im)) x.im))
(* (* x.re (* x.re 3)) x.im)
(* x.re (* x.re 3))
x.re
(* x.re 3)
3
x.im
(* (- 0 (* x.im x.im)) x.im)
(- 0 (* x.im x.im))
0
(* x.im x.im)
(+ (- 0 (* x.im (* x.im x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(- 0 (* x.im (* x.im x.im)))
0
(* x.im (* x.im x.im))
x.im
(* x.im x.im)
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(+ (* x.re x.im) (* x.im x.re))
(* x.re x.im)
x.re
(* x.im x.re)

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

localize171.0ms (1.8%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	accuracy	99.9%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	88.9%	(+.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
✓	accuracy	99.9%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) x.im)
✓	accuracy	99.8%	(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
✓	accuracy	91.2%	(.f64 (.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
✓	accuracy	88.9%	(+.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))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.9%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
✓	accuracy	91.2%	(.f64 x.im (.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	92.8%	(+.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

125.0ms

256×

valid

Compiler

Compiled 207 to 27 computations (87% saved)

Precisions

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

ival-mult: 22.0ms (66.5% of total)

ival-add: 6.0ms (18.1% of total)

ival-sub: 4.0ms (12.1% of total)

const: 1.0ms (3% of total)

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

series17.0ms (0.2%)

Counts

18 → 348

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

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

Calls

87 calls:

Time	Variable		Point	Expression
3.0ms	x.re	@	-inf	(* (- x.re x.im) x.im)
2.0ms	x.im	@	0	(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0ms	x.re	@	0	(+ (* (* x.re (* x.re 3)) x.im) (* (- 0 (* x.im x.im)) x.im))
0.0ms	x.im	@	inf	(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0ms	x.re	@	-inf	(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite369.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2786×	`-lowering-.f32`
2786×	`-lowering-.f64`
2466×	`/-lowering-/.f32`
2466×	`/-lowering-/.f64`
1724×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	110
1	164	92
2	1559	87
0	9430	87

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 771

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.im x.re) (* (- x.re x.im) x.im))
(+ x.im x.re)
(* 3 (* x.im (* x.re x.re)))
(* x.im (* x.re x.re))
(* x.re x.re)
(- 0 (* x.im (* x.im x.im)))
(* x.im (* x.im x.im))
(* x.im x.im)
(+ (* (* x.re (* x.re 3)) x.im) (* (- 0 (* x.im x.im)) x.im))
(* (* x.re (* x.re 3)) x.im)
(* x.re (* x.re 3))
(* x.re 3)
(+ (- 0 (* 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)
(* (- 0 (* x.im x.im)) x.im)

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

simplify228.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2862×	`-lowering-.f32`
2862×	`-lowering-.f64`
2114×	`+-lowering-+.f64`
2114×	`+-lowering-+.f32`
1204×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	2749
1	600	2197
2	2297	1943
0	8338	1943

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

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

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

eval308.0ms (3.2%)

Compiler: Compiled 39741 to 2408 computations (93.9% saved)

prune179.0ms (1.9%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	1540	14	1554
Fresh	4	1	5
Picked	4	1	5
Done	1	0	1
Total	1549	16	1565

Accuracy

100.0%

Counts

1565 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.8%	(pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64))
	19.7%	(/.f64 (neg.f64 (.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) x.im)) (*.f64 x.im x.im))
▶	83.6%	(-.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (.f64 x.re x.re))) (.f64 x.im (*.f64 x.im x.im)))
	8.4%	(-.f64 #s(literal 0 binary64) (/.f64 (.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))))
	51.4%	(+.f64 (.f64 (+.f64 x.im x.re) (.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.re x.im) (.f64 x.im x.re)) x.re))
▶	92.8%	(+.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.re (+.f64 #s(literal 1 binary64) (/.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))
	60.5%	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
▶	44.8%	(.f64 (.f64 x.re x.re) (.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
▶	60.5%	(.f64 (.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re))
▶	20.5%	(.f64 (.f64 x.im x.im) x.im)
	75.2%	(.f64 x.re (.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
	89.1%	(.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im)))
	60.5%	(.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re))
✓	56.5%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
	52.7%	(neg.f64 (.f64 x.im (.f64 x.im x.im)))

Compiler

Compiled 471 to 264 computations (43.9% saved)

simplify223.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

2550×	`-lowering-.f32`
2550×	`-lowering-.f64`
2198×	`fma-lowering-fma.f32`
2198×	`fma-lowering-fma.f64`
2010×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	145
1	79	136
2	221	136
3	640	135
4	2112	134
5	6869	134
0	8138	134

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)
(* (* x.im x.im) x.im)
(* x.im x.im)
x.im
(* (* x.re 3) (* x.im x.re))
(* x.re 3)
x.re
3
(* x.im x.re)
x.im
(- (* x.im (* 3 (* x.re x.re))) (* x.im (* x.im x.im)))
(* x.im (* 3 (* x.re x.re)))
x.im
(* 3 (* x.re x.re))
3
(* x.re x.re)
x.re
(* x.im (* x.im x.im))
(* x.im x.im)
(* (* x.re x.re) (* x.im (- 2 (/ (* x.im x.im) (* x.re x.re)))))
(* x.re x.re)
x.re
(* x.im (- 2 (/ (* x.im x.im) (* x.re x.re))))
x.im
(- 2 (/ (* x.im x.im) (* x.re x.re)))
2
(/ (* x.im x.im) (* x.re x.re))
(* x.im x.im)

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

localize136.0ms (1.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)))
✓	accuracy	98.5%	(.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
✓	accuracy	80.8%	(.f64 (.f64 x.re x.re) (.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
✓	accuracy	76.6%	(/.f64 (.f64 x.im x.im) (.f64 x.re x.re))
✓	accuracy	99.9%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
✓	accuracy	91.2%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
✓	accuracy	88.9%	(-.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (.f64 x.re x.re))) (.f64 x.im (*.f64 x.im x.im)))
✓	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	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.9%	(.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	92.8%	(+.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

96.0ms

256×

valid

Compiler

Compiled 172 to 27 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 23.0ms (66.2% of total)

ival-sub: 5.0ms (14.4% of total)

ival-add: 4.0ms (11.5% of total)

ival-div: 2.0ms (5.8% of total)

const: 1.0ms (2.9% of total)

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

series12.0ms (0.1%)

Counts

19 → 384

Calls

Call 1

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

Calls

96 calls:

Time	Variable		Point	Expression
2.0ms	x.im	@	0	(* (* x.re x.re) (* x.im (- 2 (/ (* x.im x.im) (* x.re x.re)))))
1.0ms	x.im	@	inf	(* (* x.re x.re) (* x.im (- 2 (/ (* x.im x.im) (* x.re x.re)))))
1.0ms	x.re	@	0	(* (* x.re x.re) (* x.im (- 2 (/ (* x.im x.im) (* x.re x.re)))))
1.0ms	x.re	@	inf	(* (* x.re x.re) (* x.im (- 2 (/ (* x.im x.im) (* x.re x.re)))))
0.0ms	x.im	@	0	(* x.im (- 2 (/ (* x.im x.im) (* x.re x.re))))

rewrite384.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

3430×	`-lowering-.f32`
3430×	`-lowering-.f64`
2692×	`/-lowering-/.f32`
2692×	`/-lowering-/.f64`
2430×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	116
1	154	103
2	1327	103
0	8612	103

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 400

Calls

Call 1

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

Outputs
(+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))))
(+.f64 (.f64 x.re (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(-.f64 (/.f64 (.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (-.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 (.f64 (.f64 x.re (/.f64 (.f64 x.re #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 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x.re (/.f64 (.f64 x.re #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 x.re (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (/.f64 (.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (-.f64 (.f64 x.re (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))
(fma.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))))
(fma.f64 x.re (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(fma.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im)) (.f64 x.re (/.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 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 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)) (.f64 x.re x.re) (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(fma.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) x.re (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(fma.f64 (.f64 x.re x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im (.f64 x.re (/.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 x.re (/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))))
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(pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)))) (-.f64 #s(literal 8 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)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)) (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 8 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 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re))))))
(.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))
(+.f64 (.f64 x.im (.f64 x.re x.re)) (.f64 x.im (.f64 x.re x.re)))
(+.f64 (.f64 (.f64 x.im x.re) x.re) (.f64 (.f64 x.im x.re) x.re))
(fma.f64 x.im (.f64 x.re x.re) (.f64 x.im (*.f64 x.re x.re)))
(fma.f64 x.re (.f64 x.im x.re) (.f64 x.im (*.f64 x.re x.re)))
(fma.f64 (.f64 x.im x.re) x.re (.f64 (*.f64 x.im x.re) x.re))
(fma.f64 (.f64 x.re x.re) x.im (.f64 x.im (*.f64 x.re x.re)))
(/.f64 (+.f64 (pow.f64 (.f64 x.im (.f64 x.re x.re)) #s(literal 3 binary64)) (pow.f64 (.f64 x.im (.f64 x.re x.re)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x.im (.f64 x.re x.re)) (.f64 x.im (.f64 x.re x.re))) (-.f64 (.f64 (.f64 x.im (.f64 x.re x.re)) (.f64 x.im (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.re x.re)) (.f64 x.im (*.f64 x.re x.re))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x.im x.re) x.re) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x.im x.re) x.re) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x.im x.re) x.re) (.f64 (.f64 x.im x.re) x.re)) (-.f64 (.f64 (.f64 (.f64 x.im x.re) x.re) (.f64 (.f64 x.im x.re) x.re)) (.f64 (.f64 (.f64 x.im x.re) x.re) (.f64 (*.f64 x.im x.re) x.re)))))
(.f64 x.re (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)))
(.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.re))
(.f64 (/.f64 (.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64)) x.re)
(.f64 (.f64 x.re x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x.im)))
(pow.f64 x.im #s(literal 3 binary64))
(pow.f64 (*.f64 x.im x.im) #s(literal 3/2 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 (.f64 x.im x.im) x.im)
(*.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x.im x.re)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 x.im) #s(literal 2 binary64)) (.f64 (log.f64 x.re) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 x.re x.re))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))
(/.f64 (.f64 x.im x.im) (.f64 x.re x.re))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (.f64 x.re x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x.re (/.f64 (*.f64 x.im x.im) x.re)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)))))
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x.re (/.f64 (*.f64 x.im x.im) x.re))))
(/.f64 (.f64 (.f64 x.im x.im) #s(literal 1 binary64)) (*.f64 x.re x.re))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x.re x.re))))
(/.f64 (neg.f64 (/.f64 (*.f64 x.im x.im) x.re)) (neg.f64 x.re))
(/.f64 (*.f64 (/.f64 x.im x.re) x.im) x.re)
(/.f64 (neg.f64 (.f64 (.f64 x.im x.im) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x.re x.re)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x.re x.re)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 x.im x.im) x.re))) (neg.f64 (neg.f64 x.re)))
(/.f64 (neg.f64 (*.f64 (/.f64 x.im x.re) x.im)) (neg.f64 x.re))
(pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))
(pow.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x.re (/.f64 (*.f64 x.im x.im) x.re)) #s(literal -1 binary64))
(.f64 x.im (/.f64 x.im (.f64 x.re x.re)))
(.f64 (.f64 x.im x.im) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(.f64 (.f64 x.im x.im) (pow.f64 (/.f64 #s(literal 1 binary64) x.re) #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x.re x.re))))
(*.f64 (/.f64 x.im x.re) (/.f64 x.im x.re))
(.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x.re x.re)) (*.f64 x.im x.im))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x.re x.re)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x.im x.im) x.re) (/.f64 #s(literal 1 binary64) x.re))
(.f64 (/.f64 x.im (.f64 x.re x.re)) x.im)
(.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 (.f64 x.im x.im) x.re))
(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 (-.f64 #s(literal 0 binary64) x.im) x.re))
(.f64 (/.f64 x.im #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x.im) (.f64 x.re x.re)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x.im) x.re) (/.f64 x.im (neg.f64 x.re)))
(.f64 (/.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im x.im) (neg.f64 x.re)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal -1 binary64)) (/.f64 x.im (.f64 x.re x.re)))

simplify501.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

3702×	`-lowering-.f32`
3702×	`-lowering-.f64`
2954×	`+-lowering-+.f64`
2954×	`+-lowering-+.f32`
1342×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	3193
1	651	2488
2	2460	2178
0	8657	2178

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

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

eval195.0ms (2%)

Compiler: Compiled 20792 to 1451 computations (93% saved)

prune87.0ms (0.9%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	855	5	860
Fresh	4	6	10
Picked	1	4	5
Done	0	1	1
Total	860	16	876

Accuracy

100.0%

Counts

876 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.8%	(pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64))
	19.7%	(/.f64 (neg.f64 (.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) x.im)) (*.f64 x.im x.im))
▶	83.6%	(-.f64 (.f64 (.f64 x.im (.f64 x.re x.re)) #s(literal 3 binary64)) (.f64 x.im (*.f64 x.im x.im)))
	8.4%	(-.f64 #s(literal 0 binary64) (/.f64 (.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))))
	50.6%	(+.f64 (.f64 (+.f64 x.im x.re) (.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.re (+.f64 x.im x.im)) x.re))
✓	92.8%	(+.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.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
	89.1%	(.f64 (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)) x.im)
▶	60.5%	(.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
	60.5%	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
✓	44.8%	(.f64 (.f64 x.re x.re) (.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
✓	60.5%	(.f64 (.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re))
✓	20.5%	(.f64 (.f64 x.im x.im) x.im)
▶	75.2%	(.f64 x.re (.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
✓	56.5%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
▶	52.7%	(neg.f64 (.f64 x.im (.f64 x.im x.im)))

Compiler

Compiled 411 to 229 computations (44.3% saved)

simplify183.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

2892×	`-lowering-.f32`
2892×	`-lowering-.f64`
1760×	`sum3-define`
1668×	`+-lowering-+.f64`
1668×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	177
1	91	171
2	245	165
3	906	156
4	3839	156
0	8153	156

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize206.0ms (2.1%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
✓	accuracy	97.3%	(.f64 x.re (.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
✓	accuracy	96.1%	(.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))
✓	accuracy	76.6%	(/.f64 (.f64 x.im x.im) (.f64 x.re x.re))
✓	accuracy	99.9%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	99.7%	(.f64 (.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))
✓	accuracy	91.2%	(.f64 x.im (.f64 x.re x.re))
✓	accuracy	88.9%	(-.f64 (.f64 (.f64 x.im (.f64 x.re x.re)) #s(literal 3 binary64)) (.f64 x.im (*.f64 x.im x.im)))
✓	accuracy	100.0%	(*.f64 x.im x.re)
✓	accuracy	99.8%	(.f64 (.f64 x.im x.re) x.re)
✓	accuracy	99.7%	(.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	100.0%	(neg.f64 (.f64 x.im (.f64 x.im x.im)))
✓	accuracy	99.9%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	99.8%	(.f64 (.f64 x.re (+.f64 #s(literal 1 binary64) (/.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	92.9%	(+.f64 (.f64 (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
✓	accuracy	89.3%	(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))

Results

117.0ms	234×	0	valid
26.0ms	10×	3	valid
8.0ms	4×	4	valid
5.0ms	3×	2	valid
4.0ms	2×	5	exit
2.0ms	3×	1	valid

Compiler

Compiled 214 to 30 computations (86% saved)

Precisions

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

ival-mult: 29.0ms (47.7% of total)

ival-neg: 12.0ms (19.7% of total)

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

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

backward-pass: 5.0ms (8.2% of total)

ival-add: 4.0ms (6.6% of total)

const: 1.0ms (1.6% of total)

series15.0ms (0.2%)

Counts

20 → 432

Calls

Call 1

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

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

Calls

108 calls:

Time	Variable		Point	Expression
1.0ms	x.im	@	0	(+ (* (* x.re (+ 1 (/ x.im x.re))) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re))
1.0ms	x.im	@	inf	(+ (* (* x.re (+ 1 (/ x.im x.re))) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re))
0.0ms	x.re	@	-inf	(* x.re (+ 1 (/ x.im x.re)))
0.0ms	x.im	@	-inf	(+ (* (* x.re (+ 1 (/ x.im x.re))) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re))
0.0ms	x.im	@	0	(* x.re (* x.im (- 3 (/ (* x.im x.im) (* x.re x.re)))))

rewrite450.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4968×	`-lowering-.f32`
4968×	`-lowering-.f64`
3822×	`/-lowering-/.f32`
3822×	`/-lowering-/.f64`
2122×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	139
1	174	132
2	1473	122
0	9096	122

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 337

Calls

Call 1

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

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

simplify258.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2480×	`fma-lowering-fma.f32`
2480×	`fma-lowering-fma.f64`
2408×	`-lowering-.f32`
2408×	`-lowering-.f64`
1746×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	157	3305
1	572	2692
2	1965	2431
3	6691	2428
0	8299	2428

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

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

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

eval120.0ms (1.2%)

Compiler: Compiled 15861 to 1230 computations (92.2% saved)

prune94.0ms (1%)

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	846	5	851
Fresh	1	5	6
Picked	1	4	5
Done	1	4	5
Total	849	18	867

Accuracy

100.0%

Counts

867 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.7%	(/.f64 (neg.f64 (.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) x.im)) (*.f64 x.im x.im))
✓	83.6%	(-.f64 (.f64 (.f64 x.im (.f64 x.re x.re)) #s(literal 3 binary64)) (.f64 x.im (*.f64 x.im x.im)))
	8.4%	(-.f64 #s(literal 0 binary64) (/.f64 (.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))))
	50.6%	(+.f64 (.f64 (+.f64 x.im x.re) (.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.re (+.f64 x.im x.im)) x.re))
	89.1%	(.f64 (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)) x.im)
✓	60.5%	(.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
	60.5%	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
✓	44.8%	(.f64 (.f64 x.re x.re) (.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
✓	60.5%	(.f64 (.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re))
✓	20.5%	(.f64 (.f64 x.im x.im) x.im)
	47.5%	(.f64 x.re (/.f64 (.f64 (.f64 x.re x.im) (-.f64 #s(literal 27 binary64) (/.f64 (/.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re))) (/.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 x.im x.im)))))) (+.f64 #s(literal 9 binary64) (.f64 (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re) (+.f64 #s(literal 3 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re))))))
	50.2%	(.f64 x.re (-.f64 #s(literal 0 binary64) (.f64 x.im (/.f64 (*.f64 x.im x.im) x.re))))
	89.2%	(.f64 x.re (.f64 x.re (+.f64 (.f64 x.im #s(literal 3 binary64)) (.f64 x.im (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))))
✓	75.2%	(.f64 x.re (.f64 x.re (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))))
	94.5%	(.f64 x.re (.f64 x.im (-.f64 (.f64 x.re #s(literal 3 binary64)) (/.f64 (.f64 x.im x.im) x.re))))
✓	56.5%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
	52.8%	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
✓	52.7%	(neg.f64 (.f64 x.im (.f64 x.im x.im)))

Compiler

Compiled 882 to 305 computations (65.4% saved)

regimes39.0ms (0.4%)

Counts

36 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

17.0ms	x.im
10.0ms	x.re
9.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
99.1%	3	`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)

regimes10.0ms (0.1%)

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

7.0ms

x.im

Results

Accuracy	Segments	Branch
99.7%	2	`x.im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

6.0ms	x.im
6.0ms	x.re

Results

Accuracy	Segments	Branch
99.0%	3	`x.re`
94.5%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes19.0ms (0.2%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	x.im
5.0ms	x.re

Results

Accuracy	Segments	Branch
96.7%	3	`x.im`
95.9%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

x.re

Results

Accuracy	Segments	Branch
95.9%	2	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x.im
3.0ms	x.re

Results

Accuracy	Segments	Branch
81.1%	2	`x.im`
84.8%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
77.0%	2	`x.im`
80.7%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes31.0ms (0.3%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
52.7%	1	`x.im`
56.2%	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 (.f64 x.im x.im) x.im)

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

Calls

2 calls:

1.0ms	x.re
1.0ms	x.im

Results

Accuracy	Segments	Branch
20.5%	1	`x.im`
20.5%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.6599182824053264e-29	1.0870623954169846e-27

Results

10.0ms

112×

valid

Compiler

Compiled 278 to 176 computations (36.7% saved)

Precisions

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

ival-mult: 4.0ms (67% 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)

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
23.0ms	2.6053399908122677e+210	1.6573603205093035e+213
15.0ms	6.893217382615378e+75	8.437125210854342e+76

Results

24.0ms

192×

valid

Compiler

Compiled 354 to 227 computations (35.9% saved)

Precisions

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

ival-add: 9.0ms (50.6% of total)

ival-mult: 7.0ms (39.4% of total)

ival-sub: 1.0ms (5.6% of total)

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	6.747911809413545e+100	6.979509016493544e+101

Results

8.0ms

96×

valid

Compiler

Compiled 170 to 111 computations (34.7% saved)

Precisions

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

ival-mult: 4.0ms (80.5% of total)

ival-add: 1.0ms (20.1% of total)

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

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	6.747911809413545e+100	6.979509016493544e+101

Results

13.0ms

96×

valid

Compiler

Compiled 170 to 111 computations (34.7% saved)

Precisions

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

ival-mult: 4.0ms (81.3% of total)

ival-add: 1.0ms (20.3% of total)

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

const: 0.0ms (0% of total)

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

bsearch54.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.3527244253562044e-25	5.065631212096745e-23

Results

10.0ms

112×

valid

Compiler

Compiled 159 to 106 computations (33.3% saved)

Precisions

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

ival-mult: 4.0ms (67.5% of total)

ival-sub: 1.0ms (16.9% of total)

ival-add: 1.0ms (16.9% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.3527244253562044e-25	5.065631212096745e-23

Results

10.0ms

112×

valid

Compiler

Compiled 159 to 106 computations (33.3% saved)

Precisions

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

ival-mult: 4.0ms (68.2% of total)

ival-sub: 1.0ms (17.1% of total)

ival-add: 1.0ms (17.1% of total)

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.6053399908122677e+210	1.6573603205093035e+213

Results

11.0ms

128×

valid

Compiler

Compiled 162 to 103 computations (36.4% saved)

Precisions

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

ival-mult: 5.0ms (74.9% of total)

ival-sub: 1.0ms (15% of total)

ival-add: 1.0ms (15% of total)

const: 0.0ms (0% of total)

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

simplify32.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

58×	`*-commutative_binary64`
30×	`+-commutative_binary64`
20×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	227
1	118	227
2	138	227
3	147	227
4	152	227
5	153	227

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (.f64 x.im (.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (.f64 #s(literal 3 binary64) (*.f64 x.re (/.f64 (/.f64 x.re x.im) x.im))))))))
(if (<=.f64 x.im #s(literal 4906163943676737/22300745198530623141535718272648361505980416 binary64)) (.f64 x.re (.f64 x.im (-.f64 (.f64 x.re #s(literal 3 binary64)) (/.f64 (.f64 x.im x.im) x.re)))) (.f64 x.im (.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (.f64 #s(literal 3 binary64) (*.f64 x.re (/.f64 (/.f64 x.re x.im) x.im))))))))
(if (<=.f64 x.re #s(literal 49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) (.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im))) (if (<=.f64 x.re #s(literal 5699999999999999540749129861091177676257161059058034519740881067590834135550455819028739333753929043070121148662967740644766020991372649893989867266328208360993069448428698185430082832766845134632394525016850432 binary64)) (.f64 x.re (.f64 x.im (-.f64 (.f64 x.re #s(literal 3 binary64)) (/.f64 (.f64 x.im x.im) x.re)))) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re))))
(if (<=.f64 x.re #s(literal 680000000000000034125992661345493122882077864230506014214012342552527291529334829002167381500765405184 binary64)) (.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im))) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re)))
(if (<=.f64 x.re #s(literal 680000000000000034125992661345493122882077864230506014214012342552527291529334829002167381500765405184 binary64)) (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re)))
(if (<=.f64 x.re #s(literal 1786482426334927/42535295865117307932921825928971026432 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re)))
(if (<=.f64 x.re #s(literal 1973637728141443/680564733841876926926749214863536422912 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re))))
(if (<=.f64 x.re #s(literal 83999999999999999133489314725715760140917814643505750847548973319265390098334892064243869619555556990997219608492130965286730839907394528305408950899719083480813896792272178021128647908030950049146663981960658944 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (.f64 (.f64 x.im x.im) x.im))
(.f64 (.f64 x.im x.im) x.im)

Outputs
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.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 x.im (.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (.f64 #s(literal 3 binary64) (*.f64 x.re (/.f64 (/.f64 x.re x.im) x.im))))))))
(if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal +inf.0 binary64)) (+.f64 (.f64 (+.f64 x.re x.im) (.f64 x.im (-.f64 x.re x.im))) (.f64 x.re (.f64 x.re (+.f64 x.im x.im)))) (.f64 x.im (.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (.f64 #s(literal 3 binary64) (*.f64 x.re (/.f64 (/.f64 x.re x.im) x.im))))))))
(if (<=.f64 x.im #s(literal 4906163943676737/22300745198530623141535718272648361505980416 binary64)) (.f64 x.re (.f64 x.im (-.f64 (.f64 x.re #s(literal 3 binary64)) (/.f64 (.f64 x.im x.im) x.re)))) (.f64 x.im (.f64 x.im (.f64 x.im (+.f64 #s(literal -1 binary64) (.f64 #s(literal 3 binary64) (*.f64 x.re (/.f64 (/.f64 x.re x.im) x.im))))))))
(if (<=.f64 x.re #s(literal 49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) (.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im))) (if (<=.f64 x.re #s(literal 5699999999999999540749129861091177676257161059058034519740881067590834135550455819028739333753929043070121148662967740644766020991372649893989867266328208360993069448428698185430082832766845134632394525016850432 binary64)) (.f64 x.re (.f64 x.im (-.f64 (.f64 x.re #s(literal 3 binary64)) (/.f64 (.f64 x.im x.im) x.re)))) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re))))
(if (<=.f64 x.re #s(literal 49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) (.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im))) (if (<=.f64 x.re #s(literal 5699999999999999540749129861091177676257161059058034519740881067590834135550455819028739333753929043070121148662967740644766020991372649893989867266328208360993069448428698185430082832766845134632394525016850432 binary64)) (.f64 x.re (.f64 x.im (-.f64 (.f64 x.re #s(literal 3 binary64)) (/.f64 (.f64 x.im x.im) x.re)))) (.f64 #s(literal 3 binary64) (.f64 x.re (*.f64 x.re x.im)))))
(if (<=.f64 x.re #s(literal 680000000000000034125992661345493122882077864230506014214012342552527291529334829002167381500765405184 binary64)) (.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im))) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re)))
(if (<=.f64 x.re #s(literal 680000000000000034125992661345493122882077864230506014214012342552527291529334829002167381500765405184 binary64)) (.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im))) (.f64 #s(literal 3 binary64) (.f64 x.re (*.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 680000000000000034125992661345493122882077864230506014214012342552527291529334829002167381500765405184 binary64)) (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re)))
(if (<=.f64 x.re #s(literal 680000000000000034125992661345493122882077864230506014214012342552527291529334829002167381500765405184 binary64)) (.f64 x.im (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (.f64 #s(literal 3 binary64) (.f64 x.re (*.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 1786482426334927/42535295865117307932921825928971026432 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re)))
(if (<=.f64 x.re #s(literal 1786482426334927/42535295865117307932921825928971026432 binary64)) (.f64 (.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im)) (.f64 #s(literal 3 binary64) (.f64 x.re (*.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 1973637728141443/680564733841876926926749214863536422912 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re))))
(if (<=.f64 x.re #s(literal 1973637728141443/680564733841876926926749214863536422912 binary64)) (.f64 (.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.re) x.im)))
(if (<=.f64 x.re #s(literal 83999999999999999133489314725715760140917814643505750847548973319265390098334892064243869619555556990997219608492130965286730839907394528305408950899719083480813896792272178021128647908030950049146663981960658944 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (.f64 (.f64 x.im x.im) x.im))
(if (<=.f64 x.re #s(literal 83999999999999999133489314725715760140917814643505750847548973319265390098334892064243869619555556990997219608492130965286730839907394528305408950899719083480813896792272178021128647908030950049146663981960658944 binary64)) (.f64 (.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im)) (.f64 x.im (.f64 x.im x.im)))
(.f64 (.f64 x.im x.im) x.im)
(.f64 x.im (.f64 x.im x.im))

soundness2.3s (24.4%)

Rules

4114×	`-lowering-.f32`
4114×	`-lowering-.f64`
2862×	`-lowering-.f32`
2862×	`-lowering-.f64`
2786×	`-lowering-.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	157	3305
1	572	2692
2	1965	2431
3	6691	2428
0	8299	2428
0	26	110
1	164	92
2	1559	87
0	9430	87
0	16	66
1	102	55
0	833	55
0	163	2749
1	600	2197
2	2297	1943
0	8338	1943
0	78	1509
1	254	1236
2	799	1206
3	3579	1206
0	8858	1206
0	11	15
1	30	14
2	66	13
3	179	10
4	482	9
5	2059	8
6	3275	8
7	7650	8
0	8110	8

Stop Event

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

Compiler

Compiled 719 to 372 computations (48.3% saved)

preprocess100.0ms (1%)

Remove

(negabs x.im)

(abs x.re)

Compiler

Compiled 1008 to 436 computations (56.7% saved)

analyze0.0ms (0%)

sample1.1s (11.8%)

preprocess285.0ms (3%)

explain143.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify223.0ms (2.3%)

localize98.0ms (1%)

series17.0ms (0.2%)

rewrite140.0ms (1.5%)

simplify324.0ms (3.4%)

eval37.0ms (0.4%)

prune142.0ms (1.5%)

simplify164.0ms (1.7%)

localize171.0ms (1.8%)

series17.0ms (0.2%)

rewrite369.0ms (3.8%)

simplify228.0ms (2.4%)

eval308.0ms (3.2%)

prune179.0ms (1.9%)

simplify223.0ms (2.3%)

localize136.0ms (1.4%)

series12.0ms (0.1%)

rewrite384.0ms (4%)

simplify501.0ms (5.2%)

eval195.0ms (2%)

prune87.0ms (0.9%)

simplify183.0ms (1.9%)

localize206.0ms (2.1%)

series15.0ms (0.2%)

rewrite450.0ms (4.7%)

simplify258.0ms (2.7%)

eval120.0ms (1.2%)

prune94.0ms (1%)

regimes39.0ms (0.4%)

regimes10.0ms (0.1%)

regimes14.0ms (0.1%)

regimes19.0ms (0.2%)

regimes5.0ms (0%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes31.0ms (0.3%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch15.0ms (0.2%)

bsearch40.0ms (0.4%)

bsearch13.0ms (0.1%)

bsearch18.0ms (0.2%)

bsearch54.0ms (0.6%)

bsearch15.0ms (0.2%)

bsearch17.0ms (0.2%)

simplify32.0ms (0.3%)

soundness2.3s (24.4%)

preprocess100.0ms (1%)

end0.0ms (0%)

Profiling