Metrics for math.cube on complex, real part

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 12 computations (45.5% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample1.1s (14%)

Results

904.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 628.0ms

ival-mult: 499.0ms (79.4% of total)

ival-sub: 77.0ms (12.3% of total)

ival-add: 43.0ms (6.8% of total)

const: 6.0ms (1% of total)

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

Bogosity

preprocess244.0ms (3%)

Algorithm

2×	egg-herbie

Rules

2018×	`sum4-define`
1664×	`fma-lowering-fma.f32`
1664×	`fma-lowering-fma.f64`
1444×	`fnmadd-define`
1440×	`unsub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	102
1	152	92
2	428	90
3	1735	66
4	7883	66
0	11	16
1	33	15
2	81	15
3	263	11
4	910	10
5	5377	10
0	8193	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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

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

Call 2

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

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

Symmetry

(abs x.im)

(negabs x.re)

explain116.0ms (1.4%)

FPErrors

Click to see full error table

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

71.0ms

512×

valid

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 22.0ms (68.8% of total)

ival-sub: 7.0ms (21.9% of total)

ival-add: 2.0ms (6.3% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.5%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	88.5%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))

Status

Accuracy

Program

▶

83.5%

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

▶

88.5%

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

Compiler

Compiled 34 to 19 computations (44.1% saved)

simplify149.0ms (1.8%)

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

Rules

2018×	`sum4-define`
1684×	`fma-lowering-fma.f32`
1684×	`fma-lowering-fma.f64`
1456×	`fnmadd-define`
1396×	`sum5-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	84
1	49	82
2	122	82
3	321	82
4	967	82
5	5408	82
0	8271	82

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize62.0ms (0.8%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	96.2%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	93.9%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
✓	accuracy	92.8%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
✓	accuracy	96.2%	(+.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
✓	accuracy	92.8%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))

Results

41.0ms

256×

valid

Compiler

Compiled 102 to 16 computations (84.3% saved)

Precisions

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

ival-mult: 14.0ms (69.4% of total)

ival-sub: 3.0ms (14.9% of total)

ival-add: 2.0ms (9.9% of total)

const: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Counts

10 → 204

Calls

Call 1

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

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

rewrite87.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

498×	`-lowering-.f32`
498×	`-lowering-.f64`
258×	`+-lowering-+.f64`
258×	`+-lowering-+.f32`
220×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	73
1	112	64
0	925	64

Stop Event

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

Counts

10 → 136

Calls

Call 1

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

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

simplify289.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

4034×	`-lowering-.f32`
4034×	`-lowering-.f64`
1846×	`+-lowering-+.f64`
1846×	`+-lowering-+.f32`
1192×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	1410
1	241	1380
2	761	1368
3	3359	1368
0	8760	1368

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(pow x.re 3)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -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.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(* -3 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* -3 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 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)
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(pow x.re 3)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* 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 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(pow x.re 3)
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.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 (* (pow x.im 2) x.re))
(.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* -3 (* (pow x.im 2) x.re))
(.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* -3 (* (pow x.im 2) x.re))
(.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* -3 (pow x.im 2))
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))
(* -3 (pow x.im 2))
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
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(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
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(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
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(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
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eval54.0ms (0.7%)

Compiler: Compiled 7897 to 505 computations (93.6% saved)

prune27.0ms (0.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	362	10	372
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	364	10	374

Accuracy

99.9%

Counts

374 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.1%	(/.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 x.re x.re)) #s(literal 3 binary64)) (pow.f64 (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))) (-.f64 (.f64 (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))))
▶	39.1%	(/.f64 (.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) x.re) (+.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))
	82.6%	(+.f64 (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (.f64 x.re (*.f64 x.re x.re)))
	43.9%	(.f64 x.re (/.f64 (-.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64)) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (-.f64 (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))
	43.9%	(.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) (.f64 x.im x.im))) (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))))))
▶	88.5%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im #s(literal -3 binary64)) x.im)))
▶	65.9%	(.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
▶	55.5%	(.f64 x.re (.f64 x.re x.re))
▶	48.3%	(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
	55.3%	(.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re)))

Compiler

Compiled 452 to 220 computations (51.3% saved)

simplify204.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

4480×	`-lowering-.f32`
4480×	`-lowering-.f64`
1888×	`fma-define`
1512×	`fma-lowering-fma.f32`
1512×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	195
1	87	179
2	254	176
3	695	176
4	1410	176
5	2512	176
6	5434	176
0	8164	176

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize138.0ms (1.7%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	97.4%	(.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) x.re)
✓	accuracy	92.6%	(-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64)))
✓	accuracy	47.3%	(/.f64 (.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) x.re) (+.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	92.8%	(.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
✓	accuracy	82.4%	(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	80.5%	(.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
✓	accuracy	85.8%	(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
✓	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	99.9%	(.f64 x.re (.f64 x.re x.re))
✓	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x.im #s(literal -3 binary64)) x.im)
✓	accuracy	96.2%	(+.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im #s(literal -3 binary64)) x.im))
✓	accuracy	92.8%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im #s(literal -3 binary64)) x.im)))

Results

79.0ms

256×

valid

Compiler

Compiled 239 to 28 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 35.0ms (78.1% of total)

ival-div: 4.0ms (8.9% of total)

ival-add: 4.0ms (8.9% of total)

ival-sub: 1.0ms (2.2% of total)

const: 1.0ms (2.2% of total)

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

series22.0ms (0.3%)

Counts

18 → 336

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
3.0ms	x.re	@	-inf	(* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re)
3.0ms	x.re	@	-inf	(/ (* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re) (+ (* x.re x.re) (* 3 (* x.im x.im))))
1.0ms	x.re	@	0	(/ (* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re) (+ (* x.re x.re) (* 3 (* x.im x.im))))
1.0ms	x.im	@	0	(/ (* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re) (+ (* x.re x.re) (* 3 (* x.im x.im))))
1.0ms	x.im	@	inf	(/ (* (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)) x.re) (+ (* x.re x.re) (* 3 (* x.im x.im))))

rewrite416.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3636×	`-lowering-.f32`
3636×	`-lowering-.f64`
3384×	`/-lowering-/.f32`
3384×	`/-lowering-/.f64`
1764×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	135
1	163	119
2	1417	115
0	8303	115

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 650

Calls

Call 1

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

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

simplify191.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3184×	`-lowering-.f32`
3184×	`-lowering-.f64`
1674×	`fnmadd-define`
1260×	`times-frac`
1190×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	2211
1	202	2211
2	522	2196
3	1893	2196
4	5347	2196
0	8462	2196

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

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

eval172.0ms (2.1%)

Compiler: Compiled 37662 to 2057 computations (94.5% saved)

prune95.0ms (1.2%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1142	9	1151
Fresh	4	1	5
Picked	2	3	5
Done	0	0	0
Total	1148	13	1161

Accuracy

100.0%

Counts

1161 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.2%	(/.f64 (.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) x.re) (+.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))
▶	88.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))))))
	82.6%	(+.f64 (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (.f64 x.re (*.f64 x.re x.re)))
	41.6%	(.f64 (/.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 3 binary64)))) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64))))
	48.8%	(.f64 (.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))) (/.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))))) (+.f64 (.f64 x.re x.re) (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
▶	55.2%	(.f64 (.f64 (*.f64 x.re #s(literal -3 binary64)) x.im) x.im)
	48.3%	(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
▶	55.3%	(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
✓	88.5%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im #s(literal -3 binary64)) x.im)))
	31.0%	(.f64 x.re (.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal 9 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.re x.re) (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))))))
▶	67.9%	(.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re))))
✓	55.5%	(.f64 x.re (.f64 x.re x.re))
✓	48.3%	(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))

Compiler

Compiled 477 to 234 computations (50.9% saved)

simplify175.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

3946×	`-lowering-.f32`
3946×	`-lowering-.f64`
2200×	`fma-define`
1588×	`fma-lowering-fma.f32`
1588×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	233
1	104	214
2	286	206
3	733	206
4	1775	206
5	5289	206
0	8211	206

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize154.0ms (1.9%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	97.4%	(.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) x.re)
✓	accuracy	92.6%	(-.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (.f64 (.f64 x.im (.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64)))
✓	accuracy	47.3%	(/.f64 (.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) x.re) (+.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))
✓	accuracy	96.6%	(.f64 (/.f64 x.re (.f64 x.im x.im)) x.re)
✓	accuracy	92.8%	(.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re))))
✓	accuracy	91.0%	(/.f64 x.re (*.f64 x.im x.im))
✓	accuracy	80.5%	(.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (.f64 (/.f64 x.re (.f64 x.im x.im)) x.re)))
✓	accuracy	100.0%	(*.f64 x.re #s(literal -3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 x.re #s(literal -3 binary64)) x.im) x.im)
✓	accuracy	99.3%	(.f64 (.f64 x.re #s(literal -3 binary64)) x.im)
✓	accuracy	100.0%	(*.f64 x.re x.im)
✓	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))))))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64))))))
✓	accuracy	96.2%	(+.f64 (.f64 x.re x.re) (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
✓	accuracy	92.8%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))))

Results

94.0ms

256×

valid

Compiler

Compiled 272 to 34 computations (87.5% saved)

Precisions

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

ival-mult: 41.0ms (73.6% of total)

ival-div: 7.0ms (12.6% of total)

ival-add: 6.0ms (10.8% of total)

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

const: 1.0ms (1.8% of total)

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

series25.0ms (0.3%)

Counts

21 → 444

Calls

Call 1

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

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

Calls

111 calls:

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

rewrite375.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3146×	`-lowering-.f32`
3146×	`-lowering-.f64`
3014×	`/-lowering-/.f32`
3014×	`/-lowering-/.f64`
1642×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	165
1	190	152
2	1488	145
0	8342	145

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 955

Calls

Call 1

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

Outputs
(+.f64 (.f64 x.re (.f64 #s(literal -3 binary64) (.f64 x.im x.im))) (.f64 x.re (*.f64 x.re x.re)))
(+.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
(exp.f64 (log.f64 (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (.f64 x.im x.im))))))
(exp.f64 (.f64 (log.f64 (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (.f64 x.im x.im))) (-.f64 #s(literal 0 binary64) x.re)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (.f64 x.im x.im)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x.re x.re) (/.f64 #s(literal 1 binary64) x.re)) (/.f64 (.f64 (*.f64 x.im x.im) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x.re)))
(-.f64 (/.f64 (/.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x.re)) (/.f64 (/.f64 (.f64 x.im (.f64 x.im (.f64 (.f64 x.im x.im) #s(literal 9 binary64)))) (+.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x.re)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im x.im) #s(literal 3 binary64))) (.f64 x.re x.re))) (.f64 (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (-.f64 #s(literal 0 binary64) x.re)))
(-.f64 (/.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (-.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 #s(literal -3 binary64) (.f64 x.im x.im))))) (/.f64 (.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im (.f64 (.f64 x.im x.im) #s(literal 9 binary64))))) (-.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))))
(fma.f64 #s(literal 1 binary64) (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
(fma.f64 x.re (.f64 x.re x.re) (.f64 x.re (.f64 #s(literal -3 binary64) (.f64 x.im x.im))))
(fma.f64 x.re (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (.f64 x.re x.re) x.re (.f64 x.re (.f64 #s(literal -3 binary64) (.f64 x.im x.im))))
(fma.f64 x.im (.f64 x.re (.f64 x.im #s(literal -3 binary64))) (.f64 x.re (.f64 x.re x.re)))
(fma.f64 #s(literal -3 binary64) (.f64 x.re (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (.f64 x.im #s(literal -3 binary64)) (.f64 x.re x.im) (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (.f64 x.re #s(literal -3 binary64)) (.f64 x.im x.im) (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (.f64 x.re (.f64 x.im #s(literal -3 binary64))) x.im (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (.f64 x.im x.im) (.f64 x.re #s(literal -3 binary64)) (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (.f64 x.re (.f64 x.re x.re)) #s(literal 1 binary64) (.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
(fma.f64 (.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64) (.f64 x.re (.f64 x.re x.re)))
(neg.f64 (.f64 (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (.f64 x.im x.im))) (-.f64 #s(literal 0 binary64) x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x.re) (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))
(/.f64 #s(literal 1 binary64) (/.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)))) (.f64 (.f64 x.im (.f64 x.im (.f64 (.f64 x.im x.im) #s(literal 9 binary64)))) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.im (.f64 x.im (.f64 (.f64 x.im x.im) #s(literal 9 binary64))))))) (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 3 binary64)))) (.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.re (.f64 x.re (.f64 x.re x.re))))) (.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))))) #s(literal -729 binary64))) x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.im (.f64 x.im (.f64 (.f64 x.im x.im) #s(literal 9 binary64))))) (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 3 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)))) (.f64 #s(literal 81 binary64) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 x.im (.f64 x.im (*.f64 x.im x.im)))))) x.re)))
(/.f64 #s(literal 1 binary64) (/.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.im (.f64 x.im (.f64 (.f64 x.im x.im) #s(literal 9 binary64))))) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 #s(literal -3 binary64) (.f64 x.im x.im)))))) (+.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal -27 binary64))) (.f64 x.re (.f64 x.re x.re))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 #s(literal -3 binary64) (.f64 x.im x.im)))) (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im (.f64 (.f64 x.im x.im) #s(literal 9 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (-.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))) (.f64 x.re (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 (.f64 x.im (*.f64 x.im x.im)) #s(literal -27 binary64)))))))
(/.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)))) (.f64 (.f64 x.im (.f64 x.im (.f64 (.f64 x.im x.im) #s(literal 9 binary64)))) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.im (.f64 x.im (.f64 (.f64 x.im x.im) #s(literal 9 binary64))))))) (/.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.re (.f64 x.re (.f64 x.re x.re))))) (.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))))) #s(literal -729 binary64))) (/.f64 (+.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal 3 binary64))) x.re))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.im (.f64 x.im (.f64 (.f64 x.im x.im) #s(literal 9 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)))) (.f64 #s(literal 81 binary64) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))) (/.f64 (+.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal 3 binary64))) x.re))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (-.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))) (.f64 (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 (.f64 x.im (*.f64 x.im x.im)) #s(literal -27 binary64)))) x.re)))
(/.f64 x.re (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))
(/.f64 (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) x.re))
(/.f64 (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (.f64 x.im x.im)))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64))) (/.f64 (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 3 binary64))) x.re))
(/.f64 (.f64 x.re (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)))) (+.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (.f64 x.im x.im))))))
(/.f64 (.f64 x.re (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64))))) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im x.im) #s(literal 3 binary64))) (*.f64 x.re x.re)))
(/.f64 (.f64 (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (.f64 x.im x.im))) (-.f64 #s(literal 0 binary64) x.re)) #s(literal -1 binary64))
(/.f64 (/.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.re (.f64 x.re (.f64 x.re x.re))))) (.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))))) #s(literal -729 binary64))) x.re) (.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)))) (.f64 (.f64 x.im (.f64 x.im (.f64 (.f64 x.im x.im) #s(literal 9 binary64)))) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.im (.f64 x.im (.f64 (.f64 x.im x.im) #s(literal 9 binary64))))))) (+.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal 3 binary64)))))
(/.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)))) (.f64 #s(literal 81 binary64) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))) x.re) (.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.im (.f64 x.im (.f64 (.f64 x.im x.im) #s(literal 9 binary64))))) (+.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x.re)))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 x.re (-.f64 #s(literal 0 binary64) x.re))))
(/.f64 #s(literal 1 binary64) (/.f64 x.im (/.f64 x.re (/.f64 x.im x.re))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)) (.f64 (-.f64 #s(literal 0 binary64) x.re) x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 x.im (*.f64 (/.f64 x.re x.im) x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im)))
(/.f64 x.re (/.f64 (*.f64 x.im x.im) x.re))
(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
(/.f64 (-.f64 #s(literal 0 binary64) x.re) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)))
(/.f64 (/.f64 x.re x.im) (/.f64 x.im x.re))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x.re x.re)) (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)))
(/.f64 (.f64 x.re (-.f64 #s(literal 0 binary64) x.re)) (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)))
(/.f64 (/.f64 x.re (/.f64 x.im x.re)) x.im)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x.re) x.re) (-.f64 #s(literal 0 binary64) (.f64 x.im x.im)))
(/.f64 (*.f64 (/.f64 x.re x.im) x.re) x.im)
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x.re x.re))) (.f64 x.im x.im))
(/.f64 (neg.f64 (.f64 x.re (-.f64 #s(literal 0 binary64) x.re))) (.f64 x.im x.im))
(/.f64 (neg.f64 (/.f64 x.re (/.f64 x.im x.re))) (-.f64 #s(literal 0 binary64) x.im))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) x.re) x.re)) (.f64 x.im x.im))
(/.f64 (neg.f64 (*.f64 (/.f64 x.re x.im) x.re)) (-.f64 #s(literal 0 binary64) x.im))
(/.f64 (neg.f64 (/.f64 (*.f64 x.re x.re) x.im)) (-.f64 #s(literal 0 binary64) x.im))
(pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))
(pow.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 x.re (/.f64 (.f64 x.im x.im) x.re)))
(.f64 x.re (/.f64 x.re (.f64 x.im x.im)))
(.f64 (.f64 x.re x.re) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))
(.f64 (/.f64 x.re (.f64 x.im x.im)) x.re)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x.im x.im)) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)))
(*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
(*.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 x.im x.re)))
(.f64 (.f64 x.re (-.f64 #s(literal 0 binary64) x.re)) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
(*.f64 (/.f64 x.re (/.f64 x.im x.re)) (/.f64 #s(literal 1 binary64) x.im))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) x.re) x.re) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
(.f64 (.f64 (/.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) x.im))
(.f64 (/.f64 (.f64 x.re x.re) x.im) (/.f64 #s(literal 1 binary64) x.im))
(*.f64 (/.f64 x.re (-.f64 #s(literal 0 binary64) x.im)) (/.f64 (-.f64 #s(literal 0 binary64) x.re) x.im))
(.f64 (/.f64 x.re #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x.re (.f64 x.im x.im))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x.re) x.im) (/.f64 x.re (-.f64 #s(literal 0 binary64) x.im)))
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 3 binary64)))
(pow.f64 x.im #s(literal 3 binary64))
(pow.f64 (*.f64 x.im x.im) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x.im #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x.im)) #s(literal 3 binary64))
(.f64 x.im (.f64 x.im x.im))
(.f64 (.f64 x.im x.im) x.im)
(*.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64)))

simplify361.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

4006×	`-lowering-.f32`
4006×	`-lowering-.f64`
2070×	`fma-lowering-fma.f32`
2070×	`fma-lowering-fma.f64`
1820×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	174	3723
1	527	3668
2	1569	3643
3	5648	3640
0	8134	3640

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

Outputs
(* -3 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 x.im (/.f64 x.im (.f64 x.re x.re))))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 x.im (/.f64 x.im (.f64 x.re x.re))))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 x.im (/.f64 x.im (.f64 x.re x.re))))))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 x.im (/.f64 x.im (.f64 x.re x.re))))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 x.im (/.f64 x.im (.f64 x.re x.re))))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 x.im (/.f64 x.im (.f64 x.re x.re))))))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))
(* -3 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* -3 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 x.re x.re) x.im) x.im))))
(/ -1/3 (* (pow x.im 2) x.re))
(/.f64 #s(literal -1/3 binary64) (.f64 x.im (.f64 x.im x.re)))
(/ (- (* -1/9 (/ (pow x.re 2) (pow x.im 4))) (* 1/3 (/ 1 (pow x.im 2)))) x.re)
(/.f64 (+.f64 (/.f64 (.f64 x.re (.f64 x.re #s(literal -1/9 binary64))) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (/.f64 #s(literal -1/3 binary64) (.f64 x.im x.im))) x.re)
(/ (- (* (pow x.re 2) (- (* -1/27 (/ (pow x.re 2) (pow x.im 6))) (* 1/9 (/ 1 (pow x.im 4))))) (* 1/3 (/ 1 (pow x.im 2)))) x.re)
(/.f64 (+.f64 (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 (.f64 x.re x.re) #s(literal -1/27 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal -1/9 binary64) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))) (/.f64 #s(literal -1/3 binary64) (.f64 x.im x.im))) x.re)
(/ (- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1/81 (/ (pow x.re 2) (pow x.im 8))) (* 1/27 (/ 1 (pow x.im 6))))) (* 1/9 (/ 1 (pow x.im 4))))) (* 1/3 (/ 1 (pow x.im 2)))) x.re)
(/.f64 (+.f64 (.f64 (.f64 x.re x.re) (+.f64 (.f64 (.f64 x.re x.re) (+.f64 (/.f64 (.f64 x.re (.f64 x.re #s(literal -1/81 binary64))) (pow.f64 x.im #s(literal 8 binary64))) (/.f64 #s(literal -1/27 binary64) (pow.f64 x.im #s(literal 6 binary64))))) (/.f64 #s(literal -1/9 binary64) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))) (/.f64 #s(literal -1/3 binary64) (.f64 x.im x.im))) x.re)
(/ 1 (pow x.re 3))
(/.f64 #s(literal 1 binary64) (.f64 x.re (.f64 x.re x.re)))
(/ (+ 1 (* 3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 3))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x.im (.f64 (/.f64 x.im (.f64 x.re x.re)) #s(literal 3 binary64)))) (.f64 x.re (*.f64 x.re x.re)))
(/ (- (+ 1 (* 9 (/ (pow x.im 4) (pow x.re 4)))) (* -3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 3))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x.im (.f64 (/.f64 x.im (.f64 x.re x.re)) #s(literal 3 binary64))) (/.f64 (.f64 x.im (.f64 x.im (.f64 (.f64 x.im x.im) #s(literal 9 binary64)))) (.f64 (.f64 x.re (.f64 x.re x.re)) x.re)))) (.f64 x.re (.f64 x.re x.re)))
(/ (- (+ 1 (* 27 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (* -3 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 3))
(/.f64 (+.f64 (/.f64 (.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal 27 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x.im (.f64 (/.f64 x.im (.f64 x.re x.re)) #s(literal 3 binary64))) (/.f64 (.f64 x.im (.f64 x.im (.f64 (.f64 x.im x.im) #s(literal 9 binary64)))) (.f64 (.f64 x.re (.f64 x.re x.re)) x.re))))) (.f64 x.re (*.f64 x.re x.re)))
(/ 1 (pow x.re 3))
(/.f64 #s(literal 1 binary64) (.f64 x.re (.f64 x.re x.re)))
(* -1 (/ (- (* -3 (/ (pow x.im 2) (pow x.re 2))) 1) (pow x.re 3)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x.im (.f64 (/.f64 x.im (.f64 x.re x.re)) #s(literal 3 binary64)))) (.f64 x.re (*.f64 x.re x.re)))
(* -1 (/ (- (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (* -3 (/ (pow x.im 2) (pow x.re 2)))) 1) (pow x.re 3)))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x.im (.f64 (/.f64 x.im (.f64 x.re x.re)) #s(literal 3 binary64))) (/.f64 (.f64 x.im (.f64 x.im (.f64 (.f64 x.im x.im) #s(literal 9 binary64)))) (.f64 (.f64 x.re (.f64 x.re x.re)) x.re)))) (.f64 x.re (.f64 x.re x.re)))
(* -1 (/ (- (+ (* -27 (/ (pow x.im 6) (pow x.re 6))) (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (* -3 (/ (pow x.im 2) (pow x.re 2))))) 1) (pow x.re 3)))
(/.f64 (+.f64 (/.f64 (.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal 27 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x.im (.f64 (/.f64 x.im (.f64 x.re x.re)) #s(literal 3 binary64))) (/.f64 (.f64 x.im (.f64 x.im (.f64 (.f64 x.im x.im) #s(literal 9 binary64)))) (.f64 (.f64 x.re (.f64 x.re x.re)) x.re))))) (.f64 x.re (*.f64 x.re x.re)))
(/ 1 (pow x.re 3))
(/.f64 #s(literal 1 binary64) (.f64 x.re (.f64 x.re x.re)))
(+ (* 3 (/ (pow x.im 2) (pow x.re 5))) (/ 1 (pow x.re 3)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x.im (.f64 (/.f64 x.im (.f64 x.re x.re)) #s(literal 3 binary64)))) (.f64 x.re (*.f64 x.re x.re)))
(+ (* (pow x.im 2) (+ (* 9 (/ (pow x.im 2) (pow x.re 7))) (* 3 (/ 1 (pow x.re 5))))) (/ 1 (pow x.re 3)))
(+.f64 (/.f64 (.f64 x.im (.f64 x.im (.f64 (.f64 x.im x.im) #s(literal 9 binary64)))) (pow.f64 x.re #s(literal 7 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x.im (.f64 (/.f64 x.im (.f64 x.re x.re)) #s(literal 3 binary64)))) (.f64 x.re (*.f64 x.re x.re))))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 27 (/ (pow x.im 2) (pow x.re 9))) (* 9 (/ 1 (pow x.re 7))))) (* 3 (/ 1 (pow x.re 5))))) (/ 1 (pow x.re 3)))
(+.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (+.f64 (/.f64 (.f64 (.f64 x.im x.im) #s(literal 27 binary64)) (pow.f64 x.re #s(literal 9 binary64))) (/.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 7 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x.im (.f64 (/.f64 x.im (.f64 x.re x.re)) #s(literal 3 binary64)))) (.f64 x.re (*.f64 x.re x.re))))
(/ -1/3 (* (pow x.im 2) x.re))
(/.f64 #s(literal -1/3 binary64) (.f64 x.im (.f64 x.im x.re)))
(/ (- (* -1/9 (/ x.re (pow x.im 2))) (* 1/3 (/ 1 x.re))) (pow x.im 2))
(/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x.re) (.f64 #s(literal -1/9 binary64) (/.f64 x.re (.f64 x.im x.im)))) (*.f64 x.im x.im))
(/ (- (* -1/27 (/ (pow x.re 3) (pow x.im 4))) (+ (* 1/9 (/ x.re (pow x.im 2))) (* 1/3 (/ 1 x.re)))) (pow x.im 2))
(/.f64 (+.f64 (/.f64 (.f64 x.re (.f64 (.f64 x.re x.re) #s(literal -1/27 binary64))) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (+.f64 (/.f64 #s(literal -1/3 binary64) x.re) (.f64 #s(literal -1/9 binary64) (/.f64 x.re (.f64 x.im x.im))))) (*.f64 x.im x.im))
(/ (- (* -1/81 (/ (pow x.re 5) (pow x.im 6))) (+ (* 1/27 (/ (pow x.re 3) (pow x.im 4))) (+ (* 1/9 (/ x.re (pow x.im 2))) (* 1/3 (/ 1 x.re))))) (pow x.im 2))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/81 binary64) (.f64 x.re (.f64 (.f64 x.re (.f64 x.re x.re)) x.re))) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 (/.f64 (.f64 x.re (.f64 (.f64 x.re x.re) #s(literal -1/27 binary64))) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (+.f64 (/.f64 #s(literal -1/3 binary64) x.re) (.f64 #s(literal -1/9 binary64) (/.f64 x.re (.f64 x.im x.im)))))) (.f64 x.im x.im))
(/ -1/3 (* (pow x.im 2) x.re))
(/.f64 #s(literal -1/3 binary64) (.f64 x.im (.f64 x.im x.re)))
(/ (- (* -1/9 (/ x.re (pow x.im 2))) (* 1/3 (/ 1 x.re))) (pow x.im 2))
(/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x.re) (.f64 #s(literal -1/9 binary64) (/.f64 x.re (.f64 x.im x.im)))) (*.f64 x.im x.im))
(/ (- (* -1/27 (/ (pow x.re 3) (pow x.im 4))) (+ (* 1/9 (/ x.re (pow x.im 2))) (* 1/3 (/ 1 x.re)))) (pow x.im 2))
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(.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) x.re) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) (.f64 (.f64 x.re (.f64 x.re x.re)) x.re)))))
(* -1 (* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1)))
(.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) x.re) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) (.f64 (.f64 x.re (.f64 x.re x.re)) x.re)))))
(* -1 (* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1)))
(.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) x.re) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) (.f64 (.f64 x.re (.f64 x.re x.re)) x.re)))))
(pow x.re 5)
(.f64 x.re (.f64 (.f64 x.re (.f64 x.re x.re)) x.re))
(+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5))
(.f64 x.re (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) x.re) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64))))
(+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5))
(.f64 x.re (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) x.re) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64))))
(+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5))
(.f64 x.re (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) x.re) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64))))
(* -9 (* (pow x.im 4) x.re))
(.f64 x.re (.f64 (.f64 x.im (.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (+.f64 (.f64 x.re #s(literal -9 binary64)) (/.f64 (.f64 x.re (.f64 (.f64 x.re (.f64 x.re x.re)) x.re)) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (+.f64 (.f64 x.re #s(literal -9 binary64)) (/.f64 (.f64 x.re (.f64 (.f64 x.re (.f64 x.re x.re)) x.re)) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (+.f64 (.f64 x.re #s(literal -9 binary64)) (/.f64 (.f64 x.re (.f64 (.f64 x.re (.f64 x.re x.re)) x.re)) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))))
(* -9 (* (pow x.im 4) x.re))
(.f64 x.re (.f64 (.f64 x.im (.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (+.f64 (.f64 x.re #s(literal -9 binary64)) (/.f64 (.f64 x.re (.f64 (.f64 x.re (.f64 x.re x.re)) x.re)) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (+.f64 (.f64 x.re #s(literal -9 binary64)) (/.f64 (.f64 x.re (.f64 (.f64 x.re (.f64 x.re x.re)) x.re)) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (+.f64 (.f64 x.re #s(literal -9 binary64)) (/.f64 (.f64 x.re (.f64 (.f64 x.re (.f64 x.re x.re)) x.re)) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))))
(* -9 (pow x.im 4))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64))
(- (pow x.re 4) (* 9 (pow x.im 4)))
(+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) x.re) (.f64 (.f64 x.im (.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)))
(- (pow x.re 4) (* 9 (pow x.im 4)))
(+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) x.re) (.f64 (.f64 x.im (.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)))
(- (pow x.re 4) (* 9 (pow x.im 4)))
(+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) x.re) (.f64 (.f64 x.im (.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)))
(pow x.re 4)
(.f64 (.f64 x.re (*.f64 x.re x.re)) x.re)
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) x.re) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) (.f64 (.f64 x.re (*.f64 x.re x.re)) x.re))))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) x.re) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) (.f64 (.f64 x.re (*.f64 x.re x.re)) x.re))))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) x.re) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) (.f64 (.f64 x.re (*.f64 x.re x.re)) x.re))))
(pow x.re 4)
(.f64 (.f64 x.re (*.f64 x.re x.re)) x.re)
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) x.re) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) (.f64 (.f64 x.re (*.f64 x.re x.re)) x.re))))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) x.re) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) (.f64 (.f64 x.re (*.f64 x.re x.re)) x.re))))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) x.re) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)) (.f64 (.f64 x.re (*.f64 x.re x.re)) x.re))))
(pow x.re 4)
(.f64 (.f64 x.re (*.f64 x.re x.re)) x.re)
(+ (* -9 (pow x.im 4)) (pow x.re 4))
(+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) x.re) (.f64 (.f64 x.im (.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)))
(+ (* -9 (pow x.im 4)) (pow x.re 4))
(+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) x.re) (.f64 (.f64 x.im (.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)))
(+ (* -9 (pow x.im 4)) (pow x.re 4))
(+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) x.re) (.f64 (.f64 x.im (.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)))
(* -9 (pow x.im 4))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (+.f64 #s(literal -9 binary64) (/.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) x.re) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (+.f64 #s(literal -9 binary64) (/.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) x.re) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (+.f64 #s(literal -9 binary64) (/.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) x.re) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))))
(* -9 (pow x.im 4))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (+.f64 #s(literal -9 binary64) (/.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) x.re) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (+.f64 #s(literal -9 binary64) (/.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) x.re) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (+.f64 #s(literal -9 binary64) (/.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) x.re) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))))
(pow x.re 4)
(.f64 (.f64 x.re (*.f64 x.re x.re)) x.re)
(pow x.re 4)
(.f64 (.f64 x.re (*.f64 x.re x.re)) x.re)
(pow x.re 4)
(.f64 (.f64 x.re (*.f64 x.re x.re)) x.re)
(pow x.re 4)
(.f64 (.f64 x.re (*.f64 x.re x.re)) x.re)
(pow x.re 4)
(.f64 (.f64 x.re (*.f64 x.re x.re)) x.re)
(pow x.re 4)
(.f64 (.f64 x.re (*.f64 x.re x.re)) x.re)
(pow x.re 4)
(.f64 (.f64 x.re (*.f64 x.re x.re)) x.re)
(pow x.re 4)
(.f64 (.f64 x.re (*.f64 x.re x.re)) x.re)
(pow x.re 4)
(.f64 (.f64 x.re (*.f64 x.re x.re)) x.re)
(pow x.re 4)
(.f64 (.f64 x.re (*.f64 x.re x.re)) x.re)
(pow x.re 4)
(.f64 (.f64 x.re (*.f64 x.re x.re)) x.re)
(pow x.re 4)
(.f64 (.f64 x.re (*.f64 x.re x.re)) x.re)
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(pow x.im 3)
(.f64 x.im (.f64 x.im x.im))
(pow x.im 3)
(.f64 x.im (.f64 x.im x.im))
(pow x.im 3)
(.f64 x.im (.f64 x.im x.im))
(pow x.im 3)
(.f64 x.im (.f64 x.im x.im))
(pow x.im 3)
(.f64 x.im (.f64 x.im x.im))
(pow x.im 3)
(.f64 x.im (.f64 x.im x.im))
(pow x.im 3)
(.f64 x.im (.f64 x.im x.im))
(pow x.im 3)
(.f64 x.im (.f64 x.im x.im))
(pow x.im 3)
(.f64 x.im (.f64 x.im x.im))
(pow x.im 3)
(.f64 x.im (.f64 x.im x.im))
(pow x.im 3)
(.f64 x.im (.f64 x.im x.im))
(pow x.im 3)
(.f64 x.im (.f64 x.im x.im))

eval209.0ms (2.6%)

Compiler: Compiled 53236 to 3082 computations (94.2% saved)

prune185.0ms (2.3%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	1482	6	1488
Fresh	3	2	5
Picked	2	3	5
Done	0	3	3
Total	1487	14	1501

Accuracy

100.0%

Counts

1501 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.6%	(/.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64))) (/.f64 (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 3 binary64))) x.re))
▶	88.5%	(/.f64 (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) x.re))
	88.4%	(/.f64 x.re (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))
	55.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x.re (.f64 x.re x.re))))
▶	39.1%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x.re (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64))))) (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 3 binary64)))))
▶	82.6%	(+.f64 (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (.f64 x.re (*.f64 x.re x.re)))
✓	55.2%	(.f64 (.f64 (*.f64 x.re #s(literal -3 binary64)) x.im) x.im)
▶	65.8%	(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 x.im (/.f64 x.im (.f64 x.re x.re))))))
▶	48.3%	(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
✓	55.3%	(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
✓	88.5%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im #s(literal -3 binary64)) x.im)))
✓	67.9%	(.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re))))
✓	55.5%	(.f64 x.re (.f64 x.re x.re))
✓	48.3%	(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))

Compiler

Compiled 364 to 215 computations (40.9% saved)

simplify282.0ms (3.5%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

5878×	`-lowering-.f32`
5878×	`-lowering-.f64`
1460×	`cube-prod`
1458×	`fma-define`
1458×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	279
1	112	246
2	323	246
3	986	242
4	2454	242
5	3296	242
6	3984	242
7	4787	242
8	6399	242
9	6624	242
10	6914	242
11	7285	242
12	7744	242
0	8046	242

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize175.0ms (2.2%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (.f64 x.re (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64)))))
✓	accuracy	97.4%	(.f64 x.re (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64))))
✓	accuracy	92.6%	(+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)))
✓	accuracy	44.0%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x.re (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64))))) (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 3 binary64))))
✓	accuracy	99.9%	(.f64 #s(literal -3 binary64) (.f64 x.im (/.f64 x.im (*.f64 x.re x.re))))
✓	accuracy	96.3%	(.f64 x.im (/.f64 x.im (.f64 x.re x.re)))
✓	accuracy	91.5%	(/.f64 x.im (*.f64 x.re x.re))
✓	accuracy	74.0%	(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 x.im (/.f64 x.im (.f64 x.re x.re))))))
✓	accuracy	99.9%	(.f64 x.re (.f64 x.re x.re))
✓	accuracy	99.8%	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
✓	accuracy	91.3%	(+.f64 (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (.f64 x.re (*.f64 x.re x.re)))
✓	accuracy	85.8%	(.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.7%	(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
✓	accuracy	85.8%	(.f64 x.re (.f64 x.im x.im))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
✓	accuracy	96.2%	(+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
✓	accuracy	92.8%	(/.f64 (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) x.re))

Results

118.0ms

256×

valid

Compiler

Compiled 340 to 35 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 31.0ms (63.4% of total)

ival-div: 9.0ms (18.4% of total)

ival-add: 8.0ms (16.4% of total)

const: 1.0ms (2% of total)

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

series20.0ms (0.2%)

Counts

21 → 444

Calls

Call 1

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

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

Calls

111 calls:

Time	Variable		Point	Expression
1.0ms	x.re	@	0	(/ 1 (* (/ 1 (* x.re (+ (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) -9)))) (+ (* x.re x.re) (* (* x.im x.im) 3))))
1.0ms	x.im	@	0	(* (* x.re (* x.re x.re)) (+ 1 (* -3 (* x.im (/ x.im (* x.re x.re))))))
1.0ms	x.im	@	inf	(/ 1 (* x.re (+ (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) -9))))
1.0ms	x.im	@	inf	(* (* x.re (* x.re x.re)) (+ 1 (* -3 (* x.im (/ x.im (* x.re x.re))))))
0.0ms	x.im	@	0	(/ 1 (* x.re (+ (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) -9))))

rewrite453.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4048×	`-lowering-.f32`
4048×	`-lowering-.f64`
3028×	`/-lowering-/.f32`
3028×	`/-lowering-/.f64`
1928×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	205
1	210	178
2	1889	170
0	8346	170

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 901

Calls

Call 1

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

Outputs
(+.f64 (.f64 x.im (.f64 (.f64 #s(literal -3 binary64) x.im) x.re)) (.f64 x.re (*.f64 x.re x.re)))
(+.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) x.re) (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (.f64 x.im x.im))))) #s(literal -1 binary64)))
(-.f64 (.f64 (/.f64 (.f64 x.re x.re) x.re) (/.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64)) (-.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))) (.f64 (/.f64 (.f64 x.re x.re) x.re) (/.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (-.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re)))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 x.re x.re) x.re) (/.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64)) (-.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))) #s(literal 1 binary64)) (/.f64 (.f64 (/.f64 (.f64 x.re x.re) x.re) (/.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (-.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x.re)) (/.f64 (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (/.f64 #s(literal -1 binary64) x.re)))
(-.f64 (/.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (/.f64 #s(literal 1 binary64) x.re) (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal 3 binary64)))))) (/.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x.re) (+.f64 (.f64 x.re x.re) (.f64 x.im (*.f64 x.im #s(literal 3 binary64)))))))
(-.f64 (/.f64 (.f64 x.re x.re) (/.f64 #s(literal 1 binary64) x.re)) (/.f64 (.f64 x.im (*.f64 x.im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x.re)))
(-.f64 (/.f64 (/.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) x.re)) (/.f64 (/.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64)) (+.f64 (.f64 x.re x.re) (.f64 x.im (*.f64 x.im #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) x.re)))
(-.f64 (/.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))) (-.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 (.f64 #s(literal -3 binary64) x.im) x.re)))) (/.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) (-.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))))
(fma.f64 x.re (.f64 x.re x.re) (.f64 x.im (.f64 (.f64 #s(literal -3 binary64) x.im) x.re)))
(fma.f64 x.re (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (.f64 x.re x.re) x.re (.f64 x.im (.f64 (.f64 #s(literal -3 binary64) x.im) x.re)))
(fma.f64 #s(literal -3 binary64) (.f64 x.re (.f64 x.im x.im)) (.f64 x.re (.f64 x.re x.re)))
(fma.f64 x.im (.f64 (.f64 #s(literal -3 binary64) x.im) x.re) (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (.f64 x.im x.im) (.f64 x.re #s(literal -3 binary64)) (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (.f64 x.im x.im) (.f64 #s(literal -3 binary64) x.re) (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re (.f64 x.re (.f64 x.re x.re)))
(fma.f64 #s(literal 1 binary64) (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
(fma.f64 (.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64) (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (.f64 x.re (.f64 x.re x.re)) #s(literal 1 binary64) (.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
(fma.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.re x.im) (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (.f64 x.re x.im) (.f64 #s(literal -3 binary64) x.im) (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)) (.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
(fma.f64 (.f64 x.re #s(literal -3 binary64)) (.f64 x.im x.im) (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (.f64 x.re (.f64 #s(literal -3 binary64) x.im)) x.im (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (.f64 #s(literal -3 binary64) x.re) (.f64 x.im x.im) (.f64 x.re (.f64 x.re x.re)))
(fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.im)) x.im (.f64 x.re (.f64 x.re x.re)))
(neg.f64 (/.f64 (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (/.f64 #s(literal -1 binary64) x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x.re) (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) (.f64 (.f64 x.re (.f64 x.re x.re)) (-.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 (.f64 #s(literal -3 binary64) x.im) x.re))))) (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal 27 binary64)))) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (*.f64 x.re x.re)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x.re (-.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re))) (.f64 (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (.f64 x.im x.im)))) (.f64 x.re (-.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x.re) (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x.re) (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))))
(/.f64 (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (.f64 x.im x.im)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x.re) (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) (.f64 (.f64 x.re (.f64 x.re x.re)) (-.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 (.f64 #s(literal -3 binary64) x.im) x.re))))) (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal 27 binary64)))) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (*.f64 x.re x.re))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x.re (-.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re))) (.f64 (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (.f64 x.im x.im)))) (.f64 x.re (-.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x.re) (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) (/.f64 #s(literal -1 binary64) x.re))
(/.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal 27 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) x.re) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (-.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))))))
(/.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal 27 binary64)))) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))))) (+.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) (.f64 (.f64 x.re (.f64 x.re x.re)) (-.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re))))))
(/.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal 27 binary64)))) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))))) (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))) (-.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))))))
(/.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) (.f64 (/.f64 #s(literal 1 binary64) x.re) (+.f64 (.f64 x.re x.re) (.f64 x.im (*.f64 x.im #s(literal 3 binary64))))))
(/.f64 (.f64 (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (.f64 x.im x.im)))) (.f64 x.re (-.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))) (.f64 x.re (-.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re))))
(/.f64 (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) x.re))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal 27 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (-.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re)))) (/.f64 #s(literal 1 binary64) x.re)))
(/.f64 (.f64 (-.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x.re)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal 27 binary64)))) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re)))))) (neg.f64 (+.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) (.f64 (.f64 x.re (.f64 x.re x.re)) (-.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal 27 binary64)))) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re)))))) (neg.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))) (-.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re (.f64 x.re (.f64 x.re x.re))))))))
(/.f64 (neg.f64 (.f64 (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (.f64 x.im x.im)))) (.f64 x.re (-.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (.f64 x.re x.re))))) (neg.f64 (.f64 x.re (-.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (*.f64 x.re x.re)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) x.re))
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(/.f64 (+.f64 (.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re)))) (.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))))) #s(literal -729 binary64))) (+.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal -9 binary64))) (-.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal -9 binary64))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re)))) (.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))))) #s(literal -729 binary64))) (+.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)))) #s(literal 81 binary64)) (-.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re)))) (.f64 x.re (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal -9 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re)))) (.f64 (.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 81 binary64))) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re)))) (.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))))) #s(literal -729 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal -9 binary64))) (-.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal -9 binary64))) (.f64 x.re (.f64 x.re (.f64 x.re x.re))))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re)))) (.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))))) #s(literal -729 binary64)))) (neg.f64 (+.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)))) #s(literal 81 binary64)) (-.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re)))) (.f64 x.re (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal -9 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re)))) (.f64 (.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 81 binary64)))) (neg.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64)))))
(/.f64 (-.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)))) #s(literal 81 binary64)) (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))))) (-.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal -9 binary64))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re)))) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64)))) (.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) (.f64 (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) #s(literal 81 binary64)))) (.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re)))) (.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))))) #s(literal -729 binary64))))) (neg.f64 (neg.f64 (+.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal -9 binary64))) (-.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal -9 binary64))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re)))) (.f64 (.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 81 binary64))))) (neg.f64 (neg.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))))))
(/.f64 (neg.f64 (-.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)))) #s(literal 81 binary64)) (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re)))))) (neg.f64 (-.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal -9 binary64))) (.f64 x.re (.f64 x.re (.f64 x.re x.re))))))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal -9 binary64))) (-.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal -9 binary64))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))))) (+.f64 (.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re)))) (.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))))) #s(literal -729 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal 9 binary64))) (-.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re)))) (.f64 (.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 81 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re)))) (.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))))) #s(literal -729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal -9 binary64))) (-.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) #s(literal -9 binary64))) (.f64 x.re (.f64 x.re (*.f64 x.re x.re))))))))
(.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re x.re)))) (.f64 (.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 81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64)))))

simplify341.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

4860×	`-lowering-.f32`
4860×	`-lowering-.f64`
2032×	`/-lowering-/.f32`
2032×	`/-lowering-/.f64`
1514×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	273	4153
1	826	4082
2	2357	4068
3	7690	4068
0	8325	4068

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(pow x.re 3)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -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.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(* -3 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* -3 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 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)
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(pow x.re 3)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(pow x.re 3)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
1
(+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))
(+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))
(+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* (pow x.im 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(* (pow x.im 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(* (pow x.im 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* (pow x.im 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(* (pow x.im 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(* (pow x.im 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(* -3 (/ (pow x.im 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)) (pow x.re 2))
1
(+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))
(+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))
(+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))
1
(+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))
(+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))
(+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(pow x.re 3)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(/ -1/3 (* (pow x.im 2) x.re))
(/ (- (* -1/9 (/ (pow x.re 2) (pow x.im 4))) (* 1/3 (/ 1 (pow x.im 2)))) x.re)
(/ (- (* (pow x.re 2) (- (* -1/27 (/ (pow x.re 2) (pow x.im 6))) (* 1/9 (/ 1 (pow x.im 4))))) (* 1/3 (/ 1 (pow x.im 2)))) x.re)
(/ (- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1/81 (/ (pow x.re 2) (pow x.im 8))) (* 1/27 (/ 1 (pow x.im 6))))) (* 1/9 (/ 1 (pow x.im 4))))) (* 1/3 (/ 1 (pow x.im 2)))) x.re)
(/ 1 (pow x.re 3))
(/ (+ 1 (* 3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 3))
(/ (+ 1 (+ (* 3 (/ (pow x.im 2) (pow x.re 2))) (* 9 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 3))
(/ (- (+ 1 (+ (* 3 (/ (pow x.im 2) (pow x.re 2))) (* 27 (/ (pow x.im 6) (pow x.re 6))))) (* -9 (/ (pow x.im 4) (pow x.re 4)))) (pow x.re 3))
(/ 1 (pow x.re 3))
(* -1 (/ (- (* -3 (/ (pow x.im 2) (pow x.re 2))) 1) (pow x.re 3)))
(* -1 (/ (- (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (* -3 (/ (pow x.im 2) (pow x.re 2)))) 1) (pow x.re 3)))
(* -1 (/ (- (+ (* -27 (/ (pow x.im 6) (pow x.re 6))) (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (* -3 (/ (pow x.im 2) (pow x.re 2))))) 1) (pow x.re 3)))
(/ 1 (pow x.re 3))
(+ (* 3 (/ (pow x.im 2) (pow x.re 5))) (/ 1 (pow x.re 3)))
(+ (* (pow x.im 2) (+ (* 9 (/ (pow x.im 2) (pow x.re 7))) (* 3 (/ 1 (pow x.re 5))))) (/ 1 (pow x.re 3)))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 27 (/ (pow x.im 2) (pow x.re 9))) (* 9 (/ 1 (pow x.re 7))))) (* 3 (/ 1 (pow x.re 5))))) (/ 1 (pow x.re 3)))
(/ -1/3 (* (pow x.im 2) x.re))
(/ (- (* -1/9 (/ x.re (pow x.im 2))) (* 1/3 (/ 1 x.re))) (pow x.im 2))
(/ (- (+ (* -1/9 (/ x.re (pow x.im 2))) (* -1/27 (/ (pow x.re 3) (pow x.im 4)))) (* 1/3 (/ 1 x.re))) (pow x.im 2))
(/ (- (+ (* -1/9 (/ x.re (pow x.im 2))) (* -1/81 (/ (pow x.re 5) (pow x.im 6)))) (+ (* 1/27 (/ (pow x.re 3) (pow x.im 4))) (* 1/3 (/ 1 x.re)))) (pow x.im 2))
(/ -1/3 (* (pow x.im 2) x.re))
(/ (- (* -1/9 (/ x.re (pow x.im 2))) (* 1/3 (/ 1 x.re))) (pow x.im 2))
(/ (- (+ (* -1/9 (/ x.re (pow x.im 2))) (* -1/27 (/ (pow x.re 3) (pow x.im 4)))) (* 1/3 (/ 1 x.re))) (pow x.im 2))
(/ (- (+ (* -1/9 (/ x.re (pow x.im 2))) (* -1/81 (/ (pow x.re 5) (pow x.im 6)))) (+ (* 1/27 (/ (pow x.re 3) (pow x.im 4))) (* 1/3 (/ 1 x.re)))) (pow x.im 2))
(/ -1/9 (* (pow x.im 4) x.re))
(/ (- (* -1/81 (/ (pow x.re 4) (pow x.im 8))) (* 1/9 (/ 1 (pow x.im 4)))) x.re)
(/ (- (* (pow x.re 4) (- (* -1/729 (/ (pow x.re 4) (pow x.im 12))) (* 1/81 (/ 1 (pow x.im 8))))) (* 1/9 (/ 1 (pow x.im 4)))) x.re)
(/ (- (* (pow x.re 4) (- (* (pow x.re 4) (- (* -1/6561 (/ (pow x.re 4) (pow x.im 16))) (* 1/729 (/ 1 (pow x.im 12))))) (* 1/81 (/ 1 (pow x.im 8))))) (* 1/9 (/ 1 (pow x.im 4)))) x.re)
(/ 1 (pow x.re 5))
(/ (+ 1 (* 9 (/ (pow x.im 4) (pow x.re 4)))) (pow x.re 5))
(/ (- (+ 1 (* 81 (/ (pow x.im 8) (pow x.re 8)))) (* -9 (/ (pow x.im 4) (pow x.re 4)))) (pow x.re 5))
(/ (- (+ 1 (* 729 (/ (pow x.im 12) (pow x.re 12)))) (+ (* -81 (/ (pow x.im 8) (pow x.re 8))) (* -9 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 5))
(/ 1 (pow x.re 5))
(* -1 (/ (- (* -9 (/ (pow x.im 4) (pow x.re 4))) 1) (pow x.re 5)))
(* -1 (/ (- (+ (* -81 (/ (pow x.im 8) (pow x.re 8))) (* -9 (/ (pow x.im 4) (pow x.re 4)))) 1) (pow x.re 5)))
(* -1 (/ (- (+ (* -729 (/ (pow x.im 12) (pow x.re 12))) (+ (* -81 (/ (pow x.im 8) (pow x.re 8))) (* -9 (/ (pow x.im 4) (pow x.re 4))))) 1) (pow x.re 5)))
(/ 1 (pow x.re 5))
(+ (* 9 (/ (pow x.im 4) (pow x.re 9))) (/ 1 (pow x.re 5)))
(+ (* (pow x.im 4) (+ (* 81 (/ (pow x.im 4) (pow x.re 13))) (* 9 (/ 1 (pow x.re 9))))) (/ 1 (pow x.re 5)))
(+ (* (pow x.im 4) (+ (* (pow x.im 4) (+ (* 729 (/ (pow x.im 4) (pow x.re 17))) (* 81 (/ 1 (pow x.re 13))))) (* 9 (/ 1 (pow x.re 9))))) (/ 1 (pow x.re 5)))
(/ -1/9 (* (pow x.im 4) x.re))
(/ (- (* -1/81 (/ (pow x.re 3) (pow x.im 4))) (* 1/9 (/ 1 x.re))) (pow x.im 4))
(/ (- (* -1/729 (/ (pow x.re 7) (pow x.im 8))) (+ (* 1/81 (/ (pow x.re 3) (pow x.im 4))) (* 1/9 (/ 1 x.re)))) (pow x.im 4))
(/ (- (* -1/6561 (/ (pow x.re 11) (pow x.im 12))) (+ (* 1/729 (/ (pow x.re 7) (pow x.im 8))) (+ (* 1/81 (/ (pow x.re 3) (pow x.im 4))) (* 1/9 (/ 1 x.re))))) (pow x.im 4))
(/ -1/9 (* (pow x.im 4) x.re))
(/ (- (* -1/81 (/ (pow x.re 3) (pow x.im 4))) (* 1/9 (/ 1 x.re))) (pow x.im 4))
(/ (- (* -1/729 (/ (pow x.re 7) (pow x.im 8))) (+ (* 1/81 (/ (pow x.re 3) (pow x.im 4))) (* 1/9 (/ 1 x.re)))) (pow x.im 4))
(/ (- (* -1/6561 (/ (pow x.re 11) (pow x.im 12))) (+ (* 1/729 (/ (pow x.re 7) (pow x.im 8))) (+ (* 1/81 (/ (pow x.re 3) (pow x.im 4))) (* 1/9 (/ 1 x.re))))) (pow x.im 4))
(* -9 (* (pow x.im 4) x.re))
(* x.re (+ (* -9 (pow x.im 4)) (pow x.re 4)))
(* x.re (+ (* -9 (pow x.im 4)) (pow x.re 4)))
(* x.re (+ (* -9 (pow x.im 4)) (pow x.re 4)))
(pow x.re 5)
(* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 5) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(pow x.re 5)
(* -1 (* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1)))
(* -1 (* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1)))
(* -1 (* (pow x.re 5) (- (* 9 (/ (pow x.im 4) (pow x.re 4))) 1)))
(pow x.re 5)
(+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5))
(+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5))
(+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5))
(* -9 (* (pow x.im 4) x.re))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(* -9 (* (pow x.im 4) x.re))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(* (pow x.im 4) (+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4))))
(/ 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.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))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(* -9 (pow x.im 4))
(+ (* -9 (pow x.im 4)) (pow x.re 4))
(+ (* -9 (pow x.im 4)) (pow x.re 4))
(+ (* -9 (pow x.im 4)) (pow x.re 4))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(pow x.re 4)
(+ (* -9 (pow x.im 4)) (pow x.re 4))
(+ (* -9 (pow x.im 4)) (pow x.re 4))
(+ (* -9 (pow x.im 4)) (pow x.re 4))
(* -9 (pow x.im 4))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(* -9 (pow x.im 4))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))

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

eval240.0ms (3%)

Compiler: Compiled 51530 to 3383 computations (93.4% saved)

prune147.0ms (1.8%)

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	1590	2	1592
Fresh	0	3	3
Picked	1	4	5
Done	0	6	6
Total	1591	15	1606

Accuracy

100.0%

Counts

1606 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.6%	(/.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64))) (/.f64 (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 3 binary64))) x.re))
	55.5%	(/.f64 (*.f64 x.re x.re) (/.f64 #s(literal 1 binary64) x.re))
	48.3%	(/.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) x.re))
	88.4%	(/.f64 x.re (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))
	55.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x.re (.f64 x.re x.re))))
✓	39.1%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x.re (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im (.f64 x.im x.im))) #s(literal -9 binary64))))) (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal 3 binary64)))))
✓	82.6%	(+.f64 (.f64 x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (.f64 x.re (*.f64 x.re x.re)))
✓	55.2%	(.f64 (.f64 (*.f64 x.re #s(literal -3 binary64)) x.im) x.im)
✓	65.8%	(.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 x.im (/.f64 x.im (.f64 x.re x.re))))))
✓	48.3%	(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
✓	55.3%	(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
✓	88.5%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im #s(literal -3 binary64)) x.im)))
✓	67.9%	(.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re))))
✓	55.5%	(.f64 x.re (.f64 x.re x.re))
✓	48.3%	(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))

Compiler

Compiled 778 to 247 computations (68.3% saved)

regimes28.0ms (0.3%)

Counts

29 → 2

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	x.re
9.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
8.0ms	x.im

Results

Accuracy	Segments	Branch
96.5%	2	`x.re`
97.4%	2	`x.im`
97.1%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes7.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x.im
3.0ms	x.re

Results

Accuracy	Segments	Branch
82.5%	2	`x.re`
84.9%	2	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

x.im

Results

Accuracy	Segments	Branch
84.9%	2	`x.im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 x.re (.f64 x.re x.re))

Outputs
(.f64 x.re (.f64 x.re x.re))

Calls

2 calls:

1.0ms	x.re
1.0ms	x.im

Results

Accuracy	Segments	Branch
55.5%	1	`x.re`
55.5%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch24.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.0331171236024e+139	5.1655172014057645e+141

Results

18.0ms

128×

valid

Compiler

Compiled 218 to 143 computations (34.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 13.0ms (89.8% of total)

ival-sub: 1.0ms (6.9% of total)

ival-add: 1.0ms (6.9% of total)

const: 0.0ms (0% of total)

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

bsearch26.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	3.4387335405545363e+28	9.616954210294645e+30

Results

21.0ms

128×

valid

Compiler

Compiled 170 to 111 computations (34.7% saved)

Precisions

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

ival-mult: 5.0ms (71.7% of total)

ival-sub: 1.0ms (14.3% of total)

ival-add: 1.0ms (14.3% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.4387335405545363e+28	9.616954210294645e+30

Results

10.0ms

128×

valid

Compiler

Compiled 170 to 111 computations (34.7% saved)

Precisions

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

ival-mult: 5.0ms (71.4% of total)

ival-sub: 1.0ms (14.3% of total)

ival-add: 1.0ms (14.3% of total)

const: 0.0ms (0% of total)

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

simplify25.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	59
1	33	59

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.im #s(literal 5099999999999999731195029293381047694569660786805133360365707717494005007315613896166584493735921560063263584187956422040907365719062127575040 binary64)) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im #s(literal -3 binary64)) x.im))) (.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 69999999999999999280861413376 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 450000000000000023021830012928 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re))))
(.f64 x.re (.f64 x.re x.re))

Outputs
(if (<=.f64 x.im #s(literal 5099999999999999731195029293381047694569660786805133360365707717494005007315613896166584493735921560063263584187956422040907365719062127575040 binary64)) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im #s(literal -3 binary64)) x.im))) (.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 5099999999999999731195029293381047694569660786805133360365707717494005007315613896166584493735921560063263584187956422040907365719062127575040 binary64)) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64))))) (.f64 (.f64 x.im #s(literal -3 binary64)) (*.f64 x.im x.re)))
(if (<=.f64 x.im #s(literal 69999999999999999280861413376 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 69999999999999999280861413376 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.im #s(literal -3 binary64)) (*.f64 x.im x.re)))
(if (<=.f64 x.im #s(literal 450000000000000023021830012928 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re))))
(.f64 x.re (.f64 x.re x.re))

soundness1.3s (16%)

Rules

4034×	`-lowering-.f32`
4034×	`-lowering-.f64`
3636×	`-lowering-.f32`
3636×	`-lowering-.f64`
3384×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	75	1410
1	241	1380
2	761	1368
3	3359	1368
0	8760	1368
0	27	135
1	163	119
2	1417	115
0	8303	115
0	15	73
1	112	64
0	925	64
0	11	16
1	33	15
2	81	15
3	263	11
4	910	10
5	5377	10
0	8193	10

Stop Event

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

Compiler

Compiled 154 to 86 computations (44.2% saved)

preprocess73.0ms (0.9%)

Remove: (negabs x.re)
Compiler: Compiled 346 to 166 computations (52% saved)

analyze0.0ms (0%)

sample1.1s (14%)

preprocess244.0ms (3%)

explain116.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify149.0ms (1.8%)

localize62.0ms (0.8%)

series17.0ms (0.2%)

rewrite87.0ms (1.1%)

simplify289.0ms (3.6%)

eval54.0ms (0.7%)

prune27.0ms (0.3%)

simplify204.0ms (2.5%)

localize138.0ms (1.7%)

series22.0ms (0.3%)

rewrite416.0ms (5.2%)

simplify191.0ms (2.4%)

eval172.0ms (2.1%)

prune95.0ms (1.2%)

simplify175.0ms (2.2%)

localize154.0ms (1.9%)

series25.0ms (0.3%)

rewrite375.0ms (4.7%)

simplify361.0ms (4.5%)

eval209.0ms (2.6%)

prune185.0ms (2.3%)

simplify282.0ms (3.5%)

localize175.0ms (2.2%)

series20.0ms (0.2%)

rewrite453.0ms (5.6%)

simplify341.0ms (4.2%)

eval240.0ms (3%)

prune147.0ms (1.8%)

regimes28.0ms (0.3%)

regimes7.0ms (0.1%)

regimes12.0ms (0.1%)

regimes3.0ms (0%)

bsearch24.0ms (0.3%)

bsearch26.0ms (0.3%)

bsearch16.0ms (0.2%)

simplify25.0ms (0.3%)

soundness1.3s (16%)

preprocess73.0ms (0.9%)

end0.0ms (0%)

Profiling