Metrics for math.cube on complex, imaginary part

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 12 computations (45.5% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample1.2s (12.8%)

Results

900.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 555.0ms

ival-mult: 425.0ms (76.5% of total)

ival-add: 81.0ms (14.6% of total)

ival-sub: 41.0ms (7.4% of total)

const: 7.0ms (1.3% of total)

backward-pass: 2.0ms (0.4% of total)

Bogosity

preprocess243.0ms (2.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	102
1	133	92
2	393	90
3	1835	68
4	7913	66
0	11	16
1	28	15
2	64	15
3	177	11
4	477	10
5	2049	10
6	3268	10
7	7643	10
0	8101	10

Stop Event

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

Calls

Call 1

Inputs
(+ (* (- (* x.re x.re) (* x.im x.im)) x.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 (.f64 x.re 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))
(- (* (* x.re (* 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)))
(- (* (* x.re (* 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) (* (* x.re (* 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) (* (* x.re (* 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)))
(- (* (* x.re (* 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 (* x.im x.im)) 3) (pow x.re 3))

Symmetry

(abs x.re)

(negabs x.im)

explain130.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
18	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`
15	-	-	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
11	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
0	-	-	`x.im`
0	-	-	`x.re`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.im)`

Results

85.0ms

512×

valid

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions

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

ival-mult: 31.0ms (74.2% of total)

ival-add: 7.0ms (16.7% of total)

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

const: 1.0ms (2.4% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.1%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	89.0%	(.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im)))

Status

Accuracy

Program

▶

85.1%

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

▶

89.0%

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

Compiler

Compiled 34 to 19 computations (44.1% saved)

simplify181.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	cost-diff	512	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
✓	cost-diff	0	(-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
✓	cost-diff	0	(.f64 x.im (-.f64 (.f64 (.f64 x.re 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: 1 (0.0ms)

Iter	Nodes	Cost
0	15	84
1	40	82
2	91	82
3	234	82
4	589	82
5	2252	82
6	3527	82
0	8164	82

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

localize66.0ms (0.7%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	96.2%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	94.0%	(+.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))
✓	accuracy	93.3%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
✓	accuracy	96.2%	(-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
✓	accuracy	93.3%	(.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im)))

Results

39.0ms

256×

valid

Compiler

Compiled 102 to 16 computations (84.3% saved)

Precisions

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

ival-mult: 16.0ms (74.1% of total)

ival-sub: 3.0ms (13.9% of total)

ival-add: 2.0ms (9.3% of total)

const: 0.0ms (0% of total)

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

series15.0ms (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 x.re)>
#<alt (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))>
#<alt (* (+ (* x.re x.im) (* x.im x.re)) x.re)>
#<alt (+ (* x.re x.im) (* x.im x.re))>
#<alt (* (- (* x.re x.re) (* x.im x.im)) x.im)>
#<alt (* x.im x.im)>
#<alt (- (* x.re x.re) (* x.im x.im))>

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

Calls

51 calls:

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

rewrite92.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	73
1	99	64
0	826	64

Stop Event

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

Counts

10 → 124

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

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

simplify263.0ms (2.9%)

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	77	1509
1	252	1473
2	799	1461
3	3589	1461
0	8846	1461

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

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

eval37.0ms (0.4%)

Compiler: Compiled 7649 to 471 computations (93.8% saved)

prune39.0ms (0.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	347	13	360
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	348	14	362

Accuracy

99.9%

Counts

362 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.7%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re 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 (.f64 x.re 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)))))
	33.3%	(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x.re 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)))
▶	68.8%	(+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	93.8%	(+.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))
	83.9%	(+.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))
▶	89.0%	(.f64 (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)) x.im)
	67.6%	(.f64 (.f64 x.im (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im))))
	57.5%	(.f64 (.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im))
	89.0%	(.f64 x.im (fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))))
▶	40.3%	(.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)) (-.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (*.f64 x.im x.im)))))))
✓	89.0%	(.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im)))
	39.9%	(.f64 x.im (.f64 (-.f64 (.f64 (.f64 (.f64 x.re 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)))))
	44.7%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
▶	44.7%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))

Compiler

Compiled 573 to 314 computations (45.2% saved)

simplify186.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

2002×	`fnmadd-define`
1902×	`-lowering-.f32`
1902×	`-lowering-.f64`
1828×	`sum4-define`
1760×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	297
1	96	264
2	236	251
3	765	249
4	2720	249
5	6823	248
0	8046	248

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

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

localize169.0ms (1.9%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.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 (.f64 x.re x.re) (.f64 x.re x.re)) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))))
✓	accuracy	93.3%	(.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)) (-.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (*.f64 x.im x.im)))))))
✓	accuracy	92.6%	(-.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (*.f64 x.im x.im))))
✓	accuracy	34.0%	(/.f64 (+.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 x.re)) #s(literal 9 binary64)) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))
✓	accuracy	100.0%	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	accuracy	99.8%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) x.im)
✓	accuracy	99.7%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	91.3%	(+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
✓	accuracy	96.2%	(-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
✓	accuracy	93.3%	(.f64 (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im 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	87.7%	(.f64 x.im (.f64 x.re x.re))
✓	accuracy	100.0%	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	accuracy	99.7%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	99.7%	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
✓	accuracy	94.0%	(+.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

103.0ms

256×

valid

Compiler

Compiled 335 to 36 computations (89.3% saved)

Precisions

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

ival-mult: 41.0ms (72.2% of total)

ival-add: 6.0ms (10.6% of total)

ival-sub: 5.0ms (8.8% of total)

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

const: 1.0ms (1.8% of total)

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

series24.0ms (0.3%)

Counts

19 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
6.0ms	x.im	@	0	(* x.im (/ 1 (/ (+ (* x.re (* x.re 3)) (* x.im x.im)) (- (* (* (* x.re x.re) (* x.re x.re)) 9) (* x.im (* x.im (* x.im x.im)))))))
1.0ms	x.re	@	0	(* x.im (/ 1 (/ (+ (* x.re (* x.re 3)) (* x.im x.im)) (- (* (* (* x.re x.re) (* x.re x.re)) 9) (* x.im (* x.im (* x.im x.im)))))))
1.0ms	x.re	@	inf	(* x.im (/ 1 (/ (+ (* x.re (* x.re 3)) (* x.im x.im)) (- (* (* (* x.re x.re) (* x.re x.re)) 9) (* x.im (* x.im (* x.im x.im)))))))
1.0ms	x.im	@	inf	(* x.im (/ 1 (/ (+ (* x.re (* x.re 3)) (* x.im x.im)) (- (* (* (* x.re x.re) (* x.re x.re)) 9) (* x.im (* x.im (* x.im x.im)))))))
1.0ms	x.re	@	0	(/ (+ (* x.re (* x.re 3)) (* x.im x.im)) (- (* (* (* x.re x.re) (* x.re x.re)) 9) (* x.im (* x.im (* x.im x.im)))))

rewrite504.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3730×	`/-lowering-/.f32`
3730×	`/-lowering-/.f64`
3516×	`-lowering-.f32`
3516×	`-lowering-.f64`
2302×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	163
1	223	129
2	1882	129
0	8965	129

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1094

Calls

Call 1

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

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

simplify276.0ms (3%)

Algorithm

1×	egg-herbie

Rules

3378×	`-lowering-.f32`
3378×	`-lowering-.f64`
3296×	`+-lowering-+.f64`
3296×	`+-lowering-+.f32`
1346×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	4111
1	836	3732
2	3025	3356
0	8610	3356

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

eval258.0ms (2.8%)

Compiler: Compiled 71953 to 4241 computations (94.1% saved)

prune223.0ms (2.5%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	1873	17	1890
Fresh	8	0	8
Picked	4	1	5
Done	0	1	1
Total	1885	19	1904

Accuracy

100.0%

Counts

1904 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.2%	(/.f64 (/.f64 x.im (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re (.f64 x.re #s(literal 9 binary64))))) (.f64 (.f64 x.im x.im) (.f64 x.im x.im)))))
▶	88.9%	(/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
	88.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) x.im))
	57.5%	(-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im)))
	68.9%	(+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	29.3%	(+.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im x.im) (.f64 x.im x.im))) x.im) (.f64 x.im x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	38.3%	(.f64 (/.f64 x.im (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re (.f64 x.re #s(literal 9 binary64))))) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im))))
	52.2%	(.f64 (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im (.f64 x.im x.im))) #s(literal -1 binary64)) (/.f64 x.im (*.f64 x.im x.im)))) x.im)
	82.1%	(.f64 (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x.im)) (/.f64 (.f64 (.f64 x.im x.im) (*.f64 x.im x.im)) x.im))) x.im)
	51.1%	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
	70.1%	(.f64 (.f64 x.re (.f64 x.re (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))) x.im)
	44.7%	(.f64 (.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
	37.9%	(.f64 (.f64 x.im (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))) (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re (.f64 x.re #s(literal 9 binary64))))) (.f64 (.f64 x.im x.im) (.f64 x.im x.im))))
▶	51.1%	(.f64 (.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)))
▶	29.0%	(.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im))))))
	44.7%	(.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x.re x.re))))
▶	57.4%	(.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x.im x.im))))
✓	89.0%	(.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im)))
✓	44.7%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))

Compiler

Compiled 668 to 396 computations (40.7% saved)

simplify163.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

2280×	`-lowering-.f32`
2280×	`-lowering-.f64`
1990×	`fma-define`
1936×	`fma-lowering-fma.f32`
1936×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	283
1	90	262
2	217	236
3	707	228
4	2158	225
5	4054	225
6	6849	225
0	8181	225

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize179.0ms (2%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 x.im x.im) (*.f64 x.im x.im))
✓	accuracy	92.6%	(-.f64 (.f64 x.re (.f64 x.re (.f64 x.re (.f64 x.re #s(literal 9 binary64))))) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im)))
✓	accuracy	75.3%	(/.f64 x.im (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
✓	accuracy	69.0%	(.f64 (/.f64 x.im (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re (.f64 x.re #s(literal 9 binary64))))) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im))))
✓	accuracy	99.7%	(.f64 (.f64 x.im x.im) (*.f64 x.im x.im))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im x.im) (.f64 x.im x.im)))))
✓	accuracy	99.3%	(.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im))))))
✓	accuracy	60.5%	(/.f64 (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im x.im) (.f64 x.im x.im))))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x.im x.im))))
✓	accuracy	99.4%	(/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.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.im x.re) (*.f64 x.re #s(literal 3 binary64)))
✓	accuracy	99.8%	(.f64 x.re (.f64 x.re #s(literal 3 binary64)))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
✓	accuracy	96.2%	(-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
✓	accuracy	93.7%	(/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))

Results

121.0ms

256×

valid

Compiler

Compiled 310 to 32 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 55.0ms (75.5% of total)

ival-div: 12.0ms (16.5% of total)

ival-sub: 4.0ms (5.5% of total)

ival-add: 1.0ms (1.4% of total)

const: 1.0ms (1.4% of total)

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

series18.0ms (0.2%)

Counts

19 → 372

Calls

Call 1

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

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

Calls

93 calls:

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

rewrite526.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3234×	`/-lowering-/.f32`
3234×	`/-lowering-/.f64`
3140×	`-lowering-.f32`
3140×	`-lowering-.f64`
2062×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	162
1	181	144
2	1429	141
0	8228	141

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1202

Calls

Call 1

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

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

simplify383.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

4408×	`-lowering-.f32`
4408×	`-lowering-.f64`
2636×	`+-lowering-+.f64`
2636×	`+-lowering-+.f32`
2280×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	4019
1	990	3955
2	3148	3922
0	8180	3922

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

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 4))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* -9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(/ 1/3 (pow x.re 2))
(/ (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1/3 (* 1/27 (/ (pow x.im 4) (pow x.re 4)))) (* -1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1/3 (* 1/81 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/9 (/ (pow x.im 2) (pow x.re 2))) (* -1/27 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))
(/ 1/3 (pow x.re 2))
(/ (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1/3 (* 1/27 (/ (pow x.im 4) (pow x.re 4)))) (* -1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1/3 (* 1/81 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/9 (/ (pow x.im 2) (pow x.re 2))) (* -1/27 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))
(/ 1/3 (pow x.re 2))
(+ (* 1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))
(+ (* (pow x.im 2) (+ (* 1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(/ -1 (pow x.im 2))
(/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))
(/ (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/ (- (* -27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* 3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))) (pow x.im 2))
(/ -1 (pow x.im 2))
(/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))
(/ (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/ (- (* -27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* 3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))) (pow x.im 2))
(* -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.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow 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 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.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(/ -1 (pow x.im 2))
(/ -1 (pow x.im 2))
(/ -1 (pow x.im 2))
(/ -1 (pow x.im 2))
(/ -1 (pow x.im 2))
(/ -1 (pow x.im 2))
(/ -1 (pow x.im 2))
(/ -1 (pow x.im 2))
(/ -1 (pow x.im 2))
(/ -1 (pow x.im 2))
(/ -1 (pow x.im 2))
(/ -1 (pow x.im 2))
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* -1/3 (/ (pow x.im 5) (pow x.re 2)))
(* (pow x.im 5) (- (* 1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2)))))
(* (pow x.im 5) (- (* (pow x.im 2) (+ (* -1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2)))))
(* (pow x.im 5) (- (* (pow x.im 2) (+ (* (pow x.im 2) (- (* 1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (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) (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* (pow x.im 3) (- (* 27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* -3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))))
(* -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 (* 9 (/ (pow x.re 4) (pow x.im 4)))) (* 3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (- (+ 1 (* -27 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* 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)) (* (pow x.re 2) (+ (* -9 (/ (pow x.re 2) x.im)) (* 3 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ (* 3 x.im) (* (pow x.re 2) (- (* 27 (/ (pow x.re 2) (pow x.im 3))) (* 9 (/ 1 x.im)))))))
(* -1/3 (/ (pow x.im 5) (pow x.re 2)))
(/ (+ (* -1/3 (pow x.im 5)) (* 1/9 (/ (pow x.im 7) (pow x.re 2)))) (pow x.re 2))
(/ (+ (* -1/3 (pow x.im 5)) (+ (* -1/27 (/ (pow x.im 9) (pow x.re 4))) (* 1/9 (/ (pow x.im 7) (pow x.re 2))))) (pow x.re 2))
(/ (+ (* -1/3 (pow x.im 5)) (+ (* -1/27 (/ (pow x.im 9) (pow x.re 4))) (+ (* 1/81 (/ (pow x.im 11) (pow x.re 6))) (* 1/9 (/ (pow x.im 7) (pow x.re 2)))))) (pow x.re 2))
(* -1/3 (/ (pow x.im 5) (pow x.re 2)))
(/ (+ (* -1/3 (pow x.im 5)) (* 1/9 (/ (pow x.im 7) (pow x.re 2)))) (pow x.re 2))
(/ (+ (* -1/3 (pow x.im 5)) (+ (* -1/27 (/ (pow x.im 9) (pow x.re 4))) (* 1/9 (/ (pow x.im 7) (pow x.re 2))))) (pow x.re 2))
(/ (+ (* -1/3 (pow x.im 5)) (+ (* -1/27 (/ (pow x.im 9) (pow x.re 4))) (+ (* 1/81 (/ (pow x.im 11) (pow x.re 6))) (* 1/9 (/ (pow x.im 7) (pow x.re 2)))))) (pow x.re 2))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* (pow x.re 2) (+ 3 (* -9 (/ (pow x.re 2) (pow x.im 2))))))
(+ (* -1 (pow x.im 2)) (* (pow x.re 2) (+ 3 (* (pow x.re 2) (- (* 27 (/ (pow x.re 2) (pow x.im 4))) (* 9 (/ 1 (pow x.im 2))))))))
(* -1/3 (/ (pow x.im 4) (pow x.re 2)))
(/ (+ (* -1/3 (pow x.im 4)) (* 1/9 (/ (pow x.im 6) (pow x.re 2)))) (pow x.re 2))
(/ (+ (* -1/3 (pow x.im 4)) (+ (* -1/27 (/ (pow x.im 8) (pow x.re 4))) (* 1/9 (/ (pow x.im 6) (pow x.re 2))))) (pow x.re 2))
(/ (+ (* -1/3 (pow x.im 4)) (+ (* -1/27 (/ (pow x.im 8) (pow x.re 4))) (+ (* 1/81 (/ (pow x.im 10) (pow x.re 6))) (* 1/9 (/ (pow x.im 6) (pow x.re 2)))))) (pow x.re 2))
(* -1/3 (/ (pow x.im 4) (pow x.re 2)))
(/ (+ (* -1/3 (pow x.im 4)) (* 1/9 (/ (pow x.im 6) (pow x.re 2)))) (pow x.re 2))
(/ (+ (* -1/3 (pow x.im 4)) (+ (* -1/27 (/ (pow x.im 8) (pow x.re 4))) (* 1/9 (/ (pow x.im 6) (pow x.re 2))))) (pow x.re 2))
(/ (+ (* -1/3 (pow x.im 4)) (+ (* -1/27 (/ (pow x.im 8) (pow x.re 4))) (+ (* 1/81 (/ (pow x.im 10) (pow x.re 6))) (* 1/9 (/ (pow x.im 6) (pow x.re 2)))))) (pow x.re 2))
(* -1/3 (/ (pow x.im 4) (pow x.re 2)))
(* (pow x.im 4) (- (* 1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2)))))
(* (pow x.im 4) (- (* (pow x.im 2) (+ (* -1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2)))))
(* (pow x.im 4) (- (* (pow x.im 2) (+ (* (pow x.im 2) (- (* 1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (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) (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* (pow x.im 2) (- (* 27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* -3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* (pow x.im 2) (- (* 27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* -3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))))
(/ -1 (pow x.im 2))
(- (* -3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(- (* -3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(- (* -3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(* -3 (/ (pow x.re 2) (pow x.im 4)))
(* -1 (* (pow x.re 2) (+ (/ 1 (* (pow x.im 2) (pow x.re 2))) (* 3 (/ 1 (pow x.im 4))))))
(* -1 (* (pow x.re 2) (+ (/ 1 (* (pow x.im 2) (pow x.re 2))) (* 3 (/ 1 (pow x.im 4))))))
(* -1 (* (pow x.re 2) (+ (/ 1 (* (pow x.im 2) (pow x.re 2))) (* 3 (/ 1 (pow x.im 4))))))
(* -3 (/ (pow x.re 2) (pow x.im 4)))
(* -1 (* (pow x.re 2) (+ (/ 1 (* (pow x.im 2) (pow x.re 2))) (* 3 (/ 1 (pow x.im 4))))))
(* -1 (* (pow x.re 2) (+ (/ 1 (* (pow x.im 2) (pow x.re 2))) (* 3 (/ 1 (pow x.im 4))))))
(* -1 (* (pow x.re 2) (+ (/ 1 (* (pow x.im 2) (pow x.re 2))) (* 3 (/ 1 (pow x.im 4))))))
(* -3 (/ (pow x.re 2) (pow x.im 4)))
(/ (+ (* -3 (pow x.re 2)) (* -1 (pow x.im 2))) (pow x.im 4))
(/ (+ (* -3 (pow x.re 2)) (* -1 (pow x.im 2))) (pow x.im 4))
(/ (+ (* -3 (pow x.re 2)) (* -1 (pow x.im 2))) (pow x.im 4))
(/ -1 (pow x.im 2))
(/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))
(/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))
(/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))
(/ -1 (pow x.im 2))
(/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))
(/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))
(/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))
(pow x.im 2)
(+ (* 3 (pow x.re 2)) (pow x.im 2))
(+ (* 3 (pow x.re 2)) (pow x.im 2))
(+ (* 3 (pow x.re 2)) (pow x.im 2))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 2) (+ 3 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 2) (+ 3 (/ (pow x.im 2) (pow x.re 2))))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 2) (+ 3 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 2) (+ 3 (/ (pow x.im 2) (pow x.re 2))))
(* 3 (pow x.re 2))
(+ (* 3 (pow x.re 2)) (pow x.im 2))
(+ (* 3 (pow x.re 2)) (pow x.im 2))
(+ (* 3 (pow x.re 2)) (pow x.im 2))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))))
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 1/3 (/ x.im (pow x.re 2)))
(* x.im (+ (* -1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2)))))
(* x.im (+ (* (pow x.im 2) (- (* 1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2)))))
(* x.im (+ (* (pow x.im 2) (- (* (pow x.im 2) (+ (* -1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2)))))
(/ 1 x.im)
(/ (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))) x.im)
(/ (- (+ 1 (* 9 (/ (pow x.re 4) (pow x.im 4)))) (* 3 (/ (pow x.re 2) (pow x.im 2)))) x.im)
(/ (- (+ 1 (* -27 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* 3 (/ (pow x.re 2) (pow x.im 2))))) x.im)
(/ 1 x.im)
(* -1 (/ (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1) x.im))
(* -1 (/ (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))) x.im))
(* -1 (/ (- (* 27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* -3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))) x.im))
(/ 1 x.im)
(+ (* -3 (/ (pow x.re 2) (pow x.im 3))) (/ 1 x.im))
(+ (* (pow x.re 2) (- (* 9 (/ (pow x.re 2) (pow x.im 5))) (* 3 (/ 1 (pow x.im 3))))) (/ 1 x.im))
(+ (* (pow x.re 2) (- (* (pow x.re 2) (+ (* -27 (/ (pow x.re 2) (pow x.im 7))) (* 9 (/ 1 (pow x.im 5))))) (* 3 (/ 1 (pow x.im 3))))) (/ 1 x.im))
(* 1/3 (/ x.im (pow x.re 2)))
(/ (+ (* -1/9 (/ (pow x.im 3) (pow x.re 2))) (* 1/3 x.im)) (pow x.re 2))
(/ (- (+ (* 1/27 (/ (pow x.im 5) (pow x.re 4))) (* 1/3 x.im)) (* 1/9 (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ (* -1/81 (/ (pow x.im 7) (pow x.re 6))) (* 1/3 x.im)) (+ (* -1/27 (/ (pow x.im 5) (pow x.re 4))) (* 1/9 (/ (pow x.im 3) (pow x.re 2))))) (pow x.re 2))
(* 1/3 (/ x.im (pow x.re 2)))
(/ (+ (* -1/9 (/ (pow x.im 3) (pow x.re 2))) (* 1/3 x.im)) (pow x.re 2))
(/ (- (+ (* 1/27 (/ (pow x.im 5) (pow x.re 4))) (* 1/3 x.im)) (* 1/9 (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ (* -1/81 (/ (pow x.im 7) (pow x.re 6))) (* 1/3 x.im)) (+ (* -1/27 (/ (pow x.im 5) (pow x.re 4))) (* 1/9 (/ (pow x.im 3) (pow x.re 2))))) (pow x.re 2))
(pow x.im 4)
(pow x.im 4)
(pow x.im 4)
(pow x.im 4)
(pow x.im 4)
(pow x.im 4)
(pow x.im 4)
(pow x.im 4)
(pow x.im 4)
(pow x.im 4)
(pow x.im 4)
(pow x.im 4)
(* -1 (pow x.im 4))
(- (* 9 (pow x.re 4)) (pow x.im 4))
(- (* 9 (pow x.re 4)) (pow x.im 4))
(- (* 9 (pow x.re 4)) (pow x.im 4))
(* 9 (pow x.re 4))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* 9 (pow x.re 4))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* 9 (pow x.re 4))
(+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))
(+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))
(+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))
(* -1 (pow x.im 4))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* -1 (pow x.im 4))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))

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 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 x.im (.f64 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 x.im (.f64 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))))
(* -1 (pow x.im 3))
(-.f64 #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 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(.f64 x.im (.f64 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(.f64 x.im (.f64 (.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im x.im)))))
(* -1 (pow x.im 3))
(-.f64 #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 (.f64 x.re x.re) (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(.f64 (.f64 x.re x.re) (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(.f64 (.f64 x.re x.re) (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(* 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 (.f64 x.re x.re) (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(.f64 (.f64 x.re x.re) (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(.f64 (.f64 x.re x.re) (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(/ -1 (pow x.im 2))
(/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))
(- (* -3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 x.re x.re) #s(literal -3 binary64)) (.f64 x.im x.im))) (.f64 x.im x.im))
(- (* (pow x.re 2) (- (* -9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
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(+.f64 (/.f64 #s(literal 1 binary64) x.im) (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (/.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.im) (/.f64 (.f64 (*.f64 x.re x.re) #s(literal 9 binary64)) (pow.f64 x.im #s(literal 5 binary64))))))
(+ (* (pow x.re 2) (- (* (pow x.re 2) (+ (* -27 (/ (pow x.re 2) (pow x.im 7))) (* 9 (/ 1 (pow x.im 5))))) (* 3 (/ 1 (pow x.im 3))))) (/ 1 x.im))
(+.f64 (/.f64 #s(literal 1 binary64) x.im) (.f64 x.re (.f64 x.re (+.f64 (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 (.f64 x.re x.re) #s(literal -27 binary64)) (pow.f64 x.im #s(literal 7 binary64))) (/.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 5 binary64))))) (/.f64 (/.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.im)))))
(* 1/3 (/ x.im (pow x.re 2)))
(/.f64 (*.f64 (/.f64 x.im x.re) #s(literal 1/3 binary64)) x.re)
(/ (+ (* -1/9 (/ (pow x.im 3) (pow x.re 2))) (* 1/3 x.im)) (pow x.re 2))
(/.f64 (+.f64 (.f64 x.im #s(literal 1/3 binary64)) (/.f64 (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal -1/9 binary64)) (.f64 x.re x.re))) (.f64 x.re x.re))
(/ (- (+ (* 1/27 (/ (pow x.im 5) (pow x.re 4))) (* 1/3 x.im)) (* 1/9 (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))
(/.f64 (+.f64 (-.f64 (.f64 x.im #s(literal 1/3 binary64)) (/.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 x.im #s(literal 5 binary64))) (.f64 (.f64 x.re x.re) (.f64 x.re x.re)))) (/.f64 (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal -1/9 binary64)) (.f64 x.re x.re))) (.f64 x.re x.re))
(/ (- (+ (* -1/81 (/ (pow x.im 7) (pow x.re 6))) (* 1/3 x.im)) (+ (* -1/27 (/ (pow x.im 5) (pow x.re 4))) (* 1/9 (/ (pow x.im 3) (pow x.re 2))))) (pow x.re 2))
(/.f64 (+.f64 (+.f64 (.f64 x.im #s(literal 1/3 binary64)) (/.f64 (.f64 (pow.f64 x.im #s(literal 7 binary64)) #s(literal -1/81 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (+.f64 (/.f64 (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal -1/9 binary64)) (.f64 x.re x.re)) (/.f64 (.f64 #s(literal 1/27 binary64) (pow.f64 x.im #s(literal 5 binary64))) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))))) (*.f64 x.re x.re))
(* 1/3 (/ x.im (pow x.re 2)))
(/.f64 (*.f64 (/.f64 x.im x.re) #s(literal 1/3 binary64)) x.re)
(/ (+ (* -1/9 (/ (pow x.im 3) (pow x.re 2))) (* 1/3 x.im)) (pow x.re 2))
(/.f64 (+.f64 (.f64 x.im #s(literal 1/3 binary64)) (/.f64 (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal -1/9 binary64)) (.f64 x.re x.re))) (.f64 x.re x.re))
(/ (- (+ (* 1/27 (/ (pow x.im 5) (pow x.re 4))) (* 1/3 x.im)) (* 1/9 (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))
(/.f64 (+.f64 (-.f64 (.f64 x.im #s(literal 1/3 binary64)) (/.f64 (.f64 #s(literal -1/27 binary64) (pow.f64 x.im #s(literal 5 binary64))) (.f64 (.f64 x.re x.re) (.f64 x.re x.re)))) (/.f64 (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal -1/9 binary64)) (.f64 x.re x.re))) (.f64 x.re x.re))
(/ (- (+ (* -1/81 (/ (pow x.im 7) (pow x.re 6))) (* 1/3 x.im)) (+ (* -1/27 (/ (pow x.im 5) (pow x.re 4))) (* 1/9 (/ (pow x.im 3) (pow x.re 2))))) (pow x.re 2))
(/.f64 (+.f64 (+.f64 (.f64 x.im #s(literal 1/3 binary64)) (/.f64 (.f64 (pow.f64 x.im #s(literal 7 binary64)) #s(literal -1/81 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (+.f64 (/.f64 (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal -1/9 binary64)) (.f64 x.re x.re)) (/.f64 (.f64 #s(literal 1/27 binary64) (pow.f64 x.im #s(literal 5 binary64))) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))))) (*.f64 x.re x.re))
(pow x.im 4)
(.f64 (.f64 x.im x.im) (*.f64 x.im x.im))
(pow x.im 4)
(.f64 (.f64 x.im x.im) (*.f64 x.im x.im))
(pow x.im 4)
(.f64 (.f64 x.im x.im) (*.f64 x.im x.im))
(pow x.im 4)
(.f64 (.f64 x.im x.im) (*.f64 x.im x.im))
(pow x.im 4)
(.f64 (.f64 x.im x.im) (*.f64 x.im x.im))
(pow x.im 4)
(.f64 (.f64 x.im x.im) (*.f64 x.im x.im))
(pow x.im 4)
(.f64 (.f64 x.im x.im) (*.f64 x.im x.im))
(pow x.im 4)
(.f64 (.f64 x.im x.im) (*.f64 x.im x.im))
(pow x.im 4)
(.f64 (.f64 x.im x.im) (*.f64 x.im x.im))
(pow x.im 4)
(.f64 (.f64 x.im x.im) (*.f64 x.im x.im))
(pow x.im 4)
(.f64 (.f64 x.im x.im) (*.f64 x.im x.im))
(pow x.im 4)
(.f64 (.f64 x.im x.im) (*.f64 x.im x.im))
(* -1 (pow x.im 4))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im)))
(- (* 9 (pow x.re 4)) (pow x.im 4))
(-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im)))
(- (* 9 (pow x.re 4)) (pow x.im 4))
(-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im)))
(- (* 9 (pow x.re 4)) (pow x.im 4))
(-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im)))
(* 9 (pow x.re 4))
(.f64 #s(literal 9 binary64) (.f64 (.f64 x.re x.re) (.f64 x.re x.re)))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (-.f64 #s(literal 9 binary64) (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (.f64 (.f64 x.re x.re) (.f64 x.re x.re)))))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (-.f64 #s(literal 9 binary64) (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (.f64 (.f64 x.re x.re) (.f64 x.re x.re)))))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (-.f64 #s(literal 9 binary64) (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (.f64 (.f64 x.re x.re) (.f64 x.re x.re)))))
(* 9 (pow x.re 4))
(.f64 #s(literal 9 binary64) (.f64 (.f64 x.re x.re) (.f64 x.re x.re)))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (-.f64 #s(literal 9 binary64) (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (.f64 (.f64 x.re x.re) (.f64 x.re x.re)))))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (-.f64 #s(literal 9 binary64) (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (.f64 (.f64 x.re x.re) (.f64 x.re x.re)))))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (-.f64 #s(literal 9 binary64) (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (.f64 (.f64 x.re x.re) (.f64 x.re x.re)))))
(* 9 (pow x.re 4))
(.f64 #s(literal 9 binary64) (.f64 (.f64 x.re x.re) (.f64 x.re x.re)))
(+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))
(-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))
(-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))
(-.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im)))
(* -1 (pow x.im 4))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im)))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im)))))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im)))))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im)))))
(* -1 (pow x.im 4))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im)))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im)))))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im)))))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 9 binary64) (.f64 (.f64 x.re x.re) (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im)))))

eval294.0ms (3.2%)

Compiler: Compiled 78273 to 4409 computations (94.4% saved)

prune215.0ms (2.4%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	2012	7	2019
Fresh	9	3	12
Picked	3	2	5
Done	0	2	2
Total	2024	14	2038

Accuracy

100.0%

Counts

2038 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.8%	(/.f64 (/.f64 x.im (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (/.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))
✓	88.9%	(/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
▶	44.6%	(/.f64 x.im (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x.re x.re))))
▶	44.6%	(/.f64 x.im (/.f64 #s(literal 1/3 binary64) (*.f64 x.re x.re)))
	57.4%	(/.f64 x.im (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
▶	51.1%	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
▶	70.1%	(.f64 (.f64 x.re (.f64 x.re (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))) x.im)
	44.7%	(.f64 (.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
✓	51.1%	(.f64 (.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)))
	57.4%	(*.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x.im) x.im)))
	24.5%	(.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im))))))
✓	89.0%	(.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im)))
▶	57.5%	(.f64 x.im (neg.f64 (.f64 x.im x.im)))
✓	44.7%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))

Compiler

Compiled 296 to 186 computations (37.2% saved)

simplify174.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

1694×	`-lowering-.f32`
1694×	`-lowering-.f64`
1692×	`fma-define`
1608×	`sum3-define`
1370×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	138
1	63	136
2	147	132
3	439	132
4	1488	122
5	3296	122
6	5723	122
0	8226	122

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize135.0ms (1.5%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x.re x.re)))
✓	accuracy	87.6%	(/.f64 x.im (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x.re x.re))))
✓	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	99.3%	(/.f64 #s(literal 1/3 binary64) (*.f64 x.re x.re))
✓	accuracy	87.6%	(/.f64 x.im (/.f64 #s(literal 1/3 binary64) (*.f64 x.re x.re)))
✓	accuracy	100.0%	(*.f64 x.im #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
✓	accuracy	99.7%	(.f64 (.f64 x.im #s(literal 3 binary64)) x.re)
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	100.0%	(neg.f64 (*.f64 x.im x.im))
✓	accuracy	99.8%	(.f64 x.im (neg.f64 (.f64 x.im x.im)))
✓	accuracy	95.4%	(.f64 x.re (.f64 x.re (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))
✓	accuracy	93.3%	(.f64 (.f64 x.re (.f64 x.re (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))) x.im)
✓	accuracy	90.8%	(.f64 x.re (-.f64 #s(literal 3 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
✓	accuracy	82.2%	(/.f64 (.f64 x.im x.im) (.f64 x.re x.re))

Results

63.0ms	235×	0	valid
10.0ms	7×	4	valid
5.0ms	5×	3	valid
4.0ms	5×	1	valid
3.0ms	4×	2	valid

Compiler

Compiled 145 to 23 computations (84.1% saved)

Precisions

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

ival-mult: 26.0ms (54.5% of total)

ival-div: 12.0ms (25.1% of total)

...c/correct-round.rkt:119:19: 4.0ms (8.4% of total)

backward-pass: 2.0ms (4.2% of total)

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

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

const: 1.0ms (2.1% of total)

series15.0ms (0.2%)

Counts

17 → 312

Calls

Call 1

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

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

78 calls:

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

rewrite318.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4292×	`-lowering-.f32`
4292×	`-lowering-.f64`
3048×	`/-lowering-/.f32`
3048×	`/-lowering-/.f64`
1866×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	115
1	111	103
2	648	103
3	7084	103
0	8293	103

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 745

Calls

Call 1

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

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

simplify229.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

3376×	`-lowering-.f32`
3376×	`-lowering-.f64`
1790×	`fma-lowering-fma.f32`
1790×	`fma-lowering-fma.f64`
1368×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	2010
1	179	1956
2	538	1938
3	1932	1902
4	6706	1902
0	8005	1902

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

eval187.0ms (2.1%)

Compiler: Compiled 18853 to 2116 computations (88.8% saved)

prune103.0ms (1.1%)

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	1147	3	1150
Fresh	0	5	5
Picked	2	3	5
Done	0	4	4
Total	1149	15	1164

Accuracy

100.0%

Counts

1164 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.8%	(/.f64 (/.f64 x.im (+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im))) (/.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))
	51.1%	(/.f64 (*.f64 x.re x.im) (/.f64 #s(literal 1/3 binary64) x.re))
✓	88.9%	(/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
✓	44.6%	(/.f64 x.im (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x.re x.re))))
	57.4%	(/.f64 x.im (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
	74.4%	(.f64 (-.f64 #s(literal 3 binary64) (/.f64 x.im (/.f64 (.f64 x.re x.re) x.im))) (.f64 x.re (.f64 x.re x.im)))
✓	51.1%	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
	44.7%	(.f64 (.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
✓	51.1%	(.f64 (.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)))
	57.4%	(*.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x.im) x.im)))
	24.5%	(.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im x.im) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im))))))
✓	89.0%	(.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im)))
	57.4%	(*.f64 x.im (neg.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) x.im))))
✓	57.5%	(.f64 x.im (neg.f64 (.f64 x.im x.im)))
✓	44.7%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))

Compiler

Compiled 862 to 260 computations (69.8% saved)

regimes39.0ms (0.4%)

Counts

42 → 2

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	x.re
12.0ms	(+.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))
11.0ms	x.im

Results

Accuracy	Segments	Branch
97.8%	2	`x.re`
98.1%	2	`x.im`
97.8%	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)

regimes51.0ms (0.6%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

2 calls:

42.0ms	x.im
7.0ms	x.re

Results

Accuracy	Segments	Branch
97.8%	2	`x.re`
97.0%	3	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x.im
5.0ms	x.re

Results

Accuracy	Segments	Branch
80.7%	2	`x.im`
84.4%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes29.0ms (0.3%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
74.3%	2	`x.im`
77.9%	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 x.im (neg.f64 (.f64 x.im x.im)))

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

Calls

2 calls:

1.0ms	x.re
1.0ms	x.im

Results

Accuracy	Segments	Branch
57.5%	1	`x.im`
57.5%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	6.65948358980382e+180	2.834880558178168e+181

Results

8.0ms

96×

valid

Compiler

Compiled 212 to 123 computations (42% saved)

Precisions

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

ival-mult: 4.0ms (73% of total)

ival-add: 1.0ms (18.3% of total)

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

const: 0.0ms (0% of total)

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

bsearch33.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	2.3852814071959746e+145	4.082995736247059e+146

Results

28.0ms

112×

valid

Compiler

Compiled 194 to 127 computations (34.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-add: 20.0ms (80.1% of total)

ival-mult: 5.0ms (20% of total)

ival-sub: 1.0ms (4% of total)

const: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.825032012988432e+96	2.1589194832303666e+96

Results

4.0ms

48×

valid

Compiler

Compiled 83 to 54 computations (34.9% saved)

Precisions

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

ival-mult: 2.0ms (74.5% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.825032012988432e+96	2.1589194832303666e+96

Results

4.0ms

48×

valid

Compiler

Compiled 83 to 54 computations (34.9% saved)

Precisions

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

ival-mult: 2.0ms (76.4% of total)

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

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

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
16×	`+-commutative_binary64`
10×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	91
1	59	91
2	70	91
3	76	91
4	78	91

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.im #s(literal 17000000000000001539291600021827102357023005369311919515198818349116700285590124524600238229203611273122690680869068131898498314083327212799935218524186162579314928046788917151662080 binary64)) (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (.f64 x.im (neg.f64 (*.f64 x.im x.im))))
(if (<=.f64 x.re #s(literal 399999999999999973453466919889848968444078777271384730315704015582479494600573681037194049813300218132071108299721531164231622769709598852710924288 binary64)) (.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im))) (.f64 (.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64))))
(if (<=.f64 x.re #s(literal 1849999999999999955887295562167900350671804751830274692402817979373850325468464830742747714420736 binary64)) (.f64 x.im (neg.f64 (.f64 x.im x.im))) (.f64 (.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64))))
(if (<=.f64 x.re #s(literal 1849999999999999955887295562167900350671804751830274692402817979373850325468464830742747714420736 binary64)) (.f64 x.im (neg.f64 (.f64 x.im x.im))) (.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re))))
(.f64 x.im (neg.f64 (.f64 x.im x.im)))

Outputs
(if (<=.f64 x.im #s(literal 17000000000000001539291600021827102357023005369311919515198818349116700285590124524600238229203611273122690680869068131898498314083327212799935218524186162579314928046788917151662080 binary64)) (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (.f64 x.im (neg.f64 (*.f64 x.im x.im))))
(if (<=.f64 x.im #s(literal 17000000000000001539291600021827102357023005369311919515198818349116700285590124524600238229203611273122690680869068131898498314083327212799935218524186162579314928046788917151662080 binary64)) (+.f64 (.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)))) (.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))))
(if (<=.f64 x.re #s(literal 399999999999999973453466919889848968444078777271384730315704015582479494600573681037194049813300218132071108299721531164231622769709598852710924288 binary64)) (.f64 x.im (-.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im x.im))) (.f64 (.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64))))
(if (<=.f64 x.re #s(literal 1849999999999999955887295562167900350671804751830274692402817979373850325468464830742747714420736 binary64)) (.f64 x.im (neg.f64 (.f64 x.im x.im))) (.f64 (.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64))))
(if (<=.f64 x.re #s(literal 1849999999999999955887295562167900350671804751830274692402817979373850325468464830742747714420736 binary64)) (.f64 x.im (-.f64 #s(literal 0 binary64) (.f64 x.im x.im))) (.f64 (.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64))))
(if (<=.f64 x.re #s(literal 1849999999999999955887295562167900350671804751830274692402817979373850325468464830742747714420736 binary64)) (.f64 x.im (neg.f64 (.f64 x.im x.im))) (.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re))))
(if (<=.f64 x.re #s(literal 1849999999999999955887295562167900350671804751830274692402817979373850325468464830742747714420736 binary64)) (.f64 x.im (-.f64 #s(literal 0 binary64) (.f64 x.im x.im))) (.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re))))
(.f64 x.im (neg.f64 (.f64 x.im x.im)))
(.f64 x.im (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)))

soundness1.9s (21.3%)

Rules

4114×	`-lowering-.f32`
4114×	`-lowering-.f64`
3730×	`/-lowering-/.f32`
3730×	`/-lowering-/.f64`
3516×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	28	15
2	64	15
3	177	11
4	477	10
5	2049	10
6	3268	10
7	7643	10
0	8101	10
0	31	162
1	181	144
2	1429	141
0	8228	141
0	15	73
1	99	64
0	826	64
0	77	1509
1	252	1473
2	799	1461
3	3589	1461
0	8846	1461
0	35	163
1	223	129
2	1882	129
0	8965	129
0	247	4111
1	836	3732
2	3025	3356
0	8610	3356

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 351 to 198 computations (43.6% saved)

preprocess126.0ms (1.4%)

Remove: (abs x.re)
Compiler: Compiled 658 to 314 computations (52.3% saved)

analyze0.0ms (0%)

sample1.2s (12.8%)

preprocess243.0ms (2.7%)

explain130.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify181.0ms (2%)

localize66.0ms (0.7%)

series15.0ms (0.2%)

rewrite92.0ms (1%)

simplify263.0ms (2.9%)

eval37.0ms (0.4%)

prune39.0ms (0.4%)

simplify186.0ms (2%)

localize169.0ms (1.9%)

series24.0ms (0.3%)

rewrite504.0ms (5.6%)

simplify276.0ms (3%)

eval258.0ms (2.8%)

prune223.0ms (2.5%)

simplify163.0ms (1.8%)

localize179.0ms (2%)

series18.0ms (0.2%)

rewrite526.0ms (5.8%)

simplify383.0ms (4.2%)

eval294.0ms (3.2%)

prune215.0ms (2.4%)

simplify174.0ms (1.9%)

localize135.0ms (1.5%)

series15.0ms (0.2%)

rewrite318.0ms (3.5%)

simplify229.0ms (2.5%)

eval187.0ms (2.1%)

prune103.0ms (1.1%)

regimes39.0ms (0.4%)

regimes51.0ms (0.6%)

regimes11.0ms (0.1%)

regimes29.0ms (0.3%)

regimes3.0ms (0%)

bsearch13.0ms (0.1%)

bsearch33.0ms (0.4%)

bsearch6.0ms (0.1%)

bsearch6.0ms (0.1%)

simplify9.0ms (0.1%)

soundness1.9s (21.3%)

preprocess126.0ms (1.4%)

end0.0ms (0%)

Profiling