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 (12.2%)

Results

862.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 558.0ms

ival-mult: 406.0ms (72.7% of total)

ival-sub: 99.0ms (17.7% of total)

ival-add: 43.0ms (7.7% of total)

const: 7.0ms (1.3% of total)

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

Bogosity

preprocess184.0ms (2%)

Algorithm

2×	egg-herbie

Rules

2018×	`sum4-define`
1664×	`fma-lowering-fma.f32`
1664×	`fma-lowering-fma.f64`
1444×	`fnmadd-define`
1442×	`unsub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	96
1	156	86
2	432	78
3	1741	60
4	7881	60
0	11	15
1	35	14
2	83	13
3	265	10
4	909	9
5	5329	9
0	8135	9

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))
(fma x.re (square x.re) (* (* x.re (square 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))
(fnmadd x.re (square x.re) (* (* x.re (square x.im)) 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)))
(fma x.re (square x.re) (* (* x.re (square 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)))
(fma x.re (square x.re) (* (* x.re (square 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))))
(fnmadd x.re (square x.re) (* (* x.re (square x.im)) 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) (* (* (square x.re) x.im) -3))

Symmetry

(abs x.im)

(negabs x.re)

explain130.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
18	-	-	`(-.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))`
13	-	-	`(.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

80.0ms

512×

valid

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 26.0ms (75.5% of total)

ival-sub: 5.0ms (14.5% of total)

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

const: 1.0ms (2.9% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.1%	(-.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))
▶	90.8%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))

Status

Accuracy

Program

▶

86.1%

(-.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))

▶

90.8%

(*.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)

simplify145.0ms (1.6%)

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`
1686×	`fma-lowering-fma.f32`
1686×	`fma-lowering-fma.f64`
1456×	`fnmadd-define`
1396×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	51	69
2	124	68
3	324	68
4	975	68
5	5460	68
0	8112	68

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

localize81.0ms (0.9%)

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	95.1%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	accuracy	94.3%	(-.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	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	95.2%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))

Results

59.0ms

256×

valid

Compiler

Compiled 102 to 16 computations (84.3% saved)

Precisions

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

ival-mult: 17.0ms (77.8% of total)

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

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

const: 0.0ms (0% of total)

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

series15.0ms (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	@	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))
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))

rewrite98.0ms (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	65
1	114	54
0	933	54

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

simplify263.0ms (2.9%)

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	1137
2	763	1125
3	3363	1125
0	8770	1125

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 (*.f64 x.im 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 (*.f64 x.im 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 (*.f64 x.im 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))))
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(* -3 (pow x.im 2))
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(.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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(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
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eval35.0ms (0.4%)

Compiler: Compiled 7897 to 508 computations (93.6% saved)

prune57.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	360	12	372
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	362	12	374

Accuracy

100.0%

Counts

374 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.7%	(/.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 x.im (.f64 (.f64 x.im #s(literal -3 binary64)) x.re)) (.f64 x.im (.f64 (.f64 x.im #s(literal -3 binary64)) x.re)))) (-.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 (*.f64 x.im #s(literal -3 binary64)) x.re))))
	35.4%	(/.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))))
▶	55.1%	(-.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	92.7%	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	87.3%	(+.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)))
	90.8%	(.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))) x.re)
	39.2%	(.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 x.im (.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re))))
	19.7%	(.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (-.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (.f64 x.re x.re)))) (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (*.f64 x.im x.im)))) #s(literal -27 binary64))))))
	69.8%	(.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)))))
▶	56.8%	(.f64 x.re (.f64 x.re x.re))
▶	55.1%	(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
	55.1%	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))

Compiler

Compiled 540 to 268 computations (50.4% saved)

simplify175.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (.f64 (.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	640	(-.f64 (-.f64 #s(literal 0 binary64) (.f64 (.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 x.im (.f64 (*.f64 x.im #s(literal -3 binary64)) x.re))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(.f64 x.re (.f64 x.re x.re))
✓	cost-diff	128	(+.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)))
✓	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.re x.im) (.f64 (-.f64 x.re 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 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

Rules

1638×	`-lowering-.f32`
1638×	`-lowering-.f64`
1492×	`+-lowering-+.f64`
1492×	`+-lowering-+.f32`
1464×	`sum3-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	25	159
1	75	153
2	191	149
3	524	147
4	2083	145
5	6883	133
0	8211	133

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize161.0ms (1.8%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	99.8%	(-.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓	accuracy	89.8%	(.f64 (.f64 x.im x.im) x.re)
✓	accuracy	99.9%	(.f64 x.re (.f64 x.re x.re))
✓	accuracy	99.8%	(.f64 x.im (.f64 (*.f64 x.im #s(literal -3 binary64)) x.re))
✓	accuracy	99.7%	(.f64 (.f64 x.im #s(literal -3 binary64)) x.re)
✓	accuracy	88.9%	(+.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
✓	accuracy	89.8%	(.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 (.f64 x.re x.im) (.f64 x.im x.re))
✓	accuracy	99.8%	(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	94.3%	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

Results

125.0ms

256×

valid

Compiler

Compiled 189 to 26 computations (86.2% saved)

Precisions

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

ival-mult: 26.0ms (73.8% of total)

ival-sub: 5.0ms (14.2% of total)

ival-add: 4.0ms (11.3% of total)

const: 1.0ms (2.8% of total)

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

series21.0ms (0.2%)

Counts

15 → 312

Calls

Call 1

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

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

Calls

78 calls:

Time	Variable		Point	Expression
6.0ms	x.re	@	-inf	(* x.re (* x.re x.re))
4.0ms	x.re	@	0	(* x.re (* x.re x.re))
1.0ms	x.re	@	0	(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms	x.re	@	inf	(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.0ms	x.im	@	inf	(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

rewrite419.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3046×	`-lowering-.f32`
3046×	`-lowering-.f64`
2626×	`/-lowering-/.f32`
2626×	`/-lowering-/.f64`
2058×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	103
1	160	83
2	1409	79
0	9280	79

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 696

Calls

Call 1

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

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

simplify270.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2728×	`-lowering-.f32`
2728×	`-lowering-.f64`
2300×	`+-lowering-+.f64`
2300×	`+-lowering-+.f32`
1910×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	2528
1	503	1931
2	1963	1715
0	8804	1715

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

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

eval209.0ms (2.3%)

Compiler: Compiled 32078 to 1945 computations (93.9% saved)

prune214.0ms (2.3%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	1173	9	1182
Fresh	4	3	7
Picked	3	2	5
Done	0	0	0
Total	1180	14	1194

Accuracy

100.0%

Counts

1194 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.8%	(pow.f64 x.re #s(literal 3 binary64))
	20.0%	(/.f64 (-.f64 (.f64 (.f64 x.re (.f64 (.f64 x.im x.im) (.f64 x.re (.f64 x.im x.im)))) #s(literal 9 binary64)) (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re (.f64 x.re x.re)) x.re))) (-.f64 (.f64 x.re (.f64 x.im (.f64 x.im #s(literal -3 binary64)))) (.f64 x.re (.f64 x.re x.re))))
	35.4%	(/.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))))
	55.1%	(-.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im x.im) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
▶	55.1%	(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
	59.8%	(.f64 (.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im)
▶	59.7%	(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
	55.1%	(.f64 (.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
▶	55.1%	(.f64 (.f64 x.im (*.f64 x.im #s(literal -3 binary64))) x.re)
▶	69.0%	(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -3 binary64))))
▶	39.2%	(.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 x.im (.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re))))
	19.7%	(.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (-.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (.f64 x.re x.re)))) (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (*.f64 x.im x.im)))) #s(literal -27 binary64))))))
✓	56.8%	(.f64 x.re (.f64 x.re x.re))
✓	55.1%	(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))

Compiler

Compiled 500 to 266 computations (46.8% saved)

simplify189.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

3366×	`-lowering-.f32`
3366×	`-lowering-.f64`
2016×	`fma-lowering-fma.f32`
2016×	`fma-lowering-fma.f64`
1654×	`fmsub-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	185
1	89	160
2	252	160
3	613	160
4	1307	157
5	2222	157
6	5918	157
0	8497	157

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize271.0ms (3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
✓	accuracy	95.2%	(.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 x.im (.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re))))
✓	accuracy	88.8%	(-.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))))
✓	accuracy	32.9%	(/.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 x.im (.f64 x.im #s(literal -3 binary64))) (.f64 x.re x.re)))
✓	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	89.8%	(.f64 x.re (.f64 x.im x.im))
✓	accuracy	100.0%	(*.f64 x.re x.im)
✓	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))
✓	accuracy	99.6%	(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
✓	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))
✓	accuracy	99.8%	(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
✓	accuracy	89.8%	(.f64 (.f64 x.im (*.f64 x.im #s(literal -3 binary64))) x.re)
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.4%	(.f64 x.re (+.f64 (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -3 binary64)))
✓	accuracy	82.7%	(.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -3 binary64))))
✓	accuracy	76.2%	(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))

Results

104.0ms	225×	0	valid
40.0ms	7×	1	valid
28.0ms	9×	4	valid
25.0ms	8×	2	valid
18.0ms	7×	3	valid

Compiler

Compiled 239 to 27 computations (88.7% saved)

Precisions

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

ival-mult: 38.0ms (70.4% of total)

backward-pass: 6.0ms (11.1% of total)

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

ival-sub: 3.0ms (5.6% of total)

ival-add: 2.0ms (3.7% of total)

const: 1.0ms (1.9% of total)

series19.0ms (0.2%)

Counts

16 → 336

Calls

Call 1

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

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

Calls

84 calls:

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

rewrite414.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4034×	`-lowering-.f32`
4034×	`-lowering-.f64`
3424×	`/-lowering-/.f32`
3424×	`/-lowering-/.f64`
1702×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	128
1	154	90
2	1244	90
0	8451	90

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 493

Calls

Call 1

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

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

simplify203.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

3186×	`-lowering-.f32`
3186×	`-lowering-.f64`
1832×	`fnmadd-define`
1246×	`times-frac`
1224×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	2283
1	168	1908
2	479	1851
3	1835	1851
4	5675	1851
0	8037	1851

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

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

eval131.0ms (1.4%)

Compiler: Compiled 31056 to 1786 computations (94.2% saved)

prune91.0ms (1%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	923	4	927
Fresh	4	3	7
Picked	2	3	5
Done	0	2	2
Total	929	12	941

Accuracy

100.0%

Counts

941 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.8%	(pow.f64 x.re #s(literal 3 binary64))
▶	35.4%	(/.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))))
▶	90.8%	(/.f64 x.re (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.re x.re) (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))))
▶	55.1%	(-.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im x.im) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
	35.4%	(.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)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (.f64 x.re x.re))) x.re))
▶	59.8%	(.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im)
✓	59.7%	(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
✓	55.1%	(.f64 (.f64 x.im (*.f64 x.im #s(literal -3 binary64))) x.re)
▶	32.5%	(.f64 (.f64 x.im x.im) (.f64 x.re (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
✓	39.2%	(.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 x.im (.f64 x.im #s(literal -3 binary64))) (*.f64 x.re x.re))))
✓	56.8%	(.f64 x.re (.f64 x.re x.re))
✓	55.1%	(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))

Compiler

Compiled 315 to 181 computations (42.5% saved)

simplify179.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 19 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 x.im x.im)
✓	cost-diff	0	(.f64 (.f64 x.im x.im) x.re)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im x.im) x.re))
✓	cost-diff	512	(-.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im x.im) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
✓	cost-diff	0	(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	cost-diff	0	(.f64 x.re (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	512	(.f64 (.f64 x.im x.im) (.f64 x.re (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
✓	cost-diff	0	(*.f64 x.im x.re)
✓	cost-diff	0	(.f64 (.f64 x.im x.re) #s(literal -3 binary64))
✓	cost-diff	0	(.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im)
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(+.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 (.f64 x.re x.re) (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
✓	cost-diff	128	(/.f64 x.re (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.re x.re) (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))))

Rules

2924×	`-lowering-.f32`
2924×	`-lowering-.f64`
2170×	`sum3-define`
1854×	`fmm-def`
1802×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	214
1	115	189
2	325	186
3	946	178
4	2563	174
5	7082	174
0	8535	174

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize201.0ms (2.2%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 x.im x.im))
✓	accuracy	96.2%	(.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	88.7%	(-.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	45.2%	(/.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	99.8%	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
✓	accuracy	99.8%	(-.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im x.im) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
✓	accuracy	89.8%	(.f64 (.f64 x.im x.im) x.re)
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.1%	(.f64 x.re (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
✓	accuracy	76.2%	(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	72.7%	(.f64 (.f64 x.im x.im) (.f64 x.re (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
✓	accuracy	100.0%	(*.f64 x.im x.re)
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im)
✓	accuracy	99.7%	(.f64 (.f64 x.im x.re) #s(literal -3 binary64))
✓	accuracy	99.8%	(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (+.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	95.3%	(/.f64 x.re (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.re x.re) (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))))

Results

157.0ms

256×

valid

Compiler

Compiled 276 to 37 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 30.0ms (59.4% of total)

ival-div: 12.0ms (23.8% of total)

ival-sub: 3.0ms (5.9% of total)

ival-add: 3.0ms (5.9% of total)

const: 1.0ms (2% of total)

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

series16.0ms (0.2%)

Counts

21 → 444

Calls

Call 1

Inputs
#<alt (/ x.re (/ 1 (+ (* x.re x.re) (* x.im (* x.im -3)))))>
#<alt (/ 1 (+ (* 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.re) -3) x.im)>
#<alt (* (* x.im x.re) -3)>
#<alt (* x.im x.re)>
#<alt (* (* x.im x.im) (* x.re (/ (* x.re x.re) (* x.im x.im))))>
#<alt (* x.im x.im)>
#<alt (* x.re (/ (* x.re x.re) (* x.im x.im)))>
#<alt (/ (* x.re x.re) (* x.im x.im))>
#<alt (- (- 0 (* (* x.im x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im))>
#<alt (- 0 (* (* x.im x.im) x.re))>
#<alt (* (* 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.im (* x.im -3))>
#<alt (* (* x.re (+ x.im x.im)) x.im)>
#<alt (* 3 (* 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))>
#<alt (- (* -1/9 (/ (pow x.re 2) (pow x.im 4))) (* 1/3 (/ 1 (pow x.im 2))))>
#<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))))>
#<alt (- (* (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))))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ (+ 1 (* 3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 1 (* 9 (/ (pow x.im 4) (pow x.re 4)))) (* -3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 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 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ (+ 1 (* 3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 1 (* 9 (/ (pow x.im 4) (pow x.re 4)))) (* -3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 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 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (+ (* 3 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2)))>
#<alt (+ (* (pow x.im 2) (+ (* 9 (/ (pow x.im 2) (pow x.re 6))) (* 3 (/ 1 (pow x.re 4))))) (/ 1 (pow x.re 2)))>
#<alt (+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 27 (/ (pow x.im 2) (pow x.re 8))) (* 9 (/ 1 (pow x.re 6))))) (* 3 (/ 1 (pow x.re 4))))) (/ 1 (pow x.re 2)))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ (- (* -1/9 (/ (pow x.re 2) (pow x.im 2))) 1/3) (pow x.im 2))>
#<alt (/ (- (* -1/27 (/ (pow x.re 4) (pow x.im 4))) (+ 1/3 (* 1/9 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))>
#<alt (/ (- (* -1/81 (/ (pow x.re 6) (pow x.im 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.re 4) (pow x.im 4))) (* 1/9 (/ (pow x.re 2) (pow x.im 2)))))) (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ (- (* -1/9 (/ (pow x.re 2) (pow x.im 2))) 1/3) (pow x.im 2))>
#<alt (/ (- (* -1/27 (/ (pow x.re 4) (pow x.im 4))) (+ 1/3 (* 1/9 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))>
#<alt (/ (- (* -1/81 (/ (pow x.re 6) (pow x.im 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.re 4) (pow x.im 4))) (* 1/9 (/ (pow x.re 2) (pow x.im 2)))))) (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) 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 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* -3 (* x.im x.re))>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (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 (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 (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (/ (pow x.re 3) (pow x.im 2))>
#<alt (/ (pow x.re 3) (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 (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re))))>
#<alt (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re))))>
#<alt (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re))))>
#<alt (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re))))>
#<alt (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re))))>
#<alt (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re))))>
#<alt (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re))))>
#<alt (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re))))>
#<alt (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re))))>
#<alt (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re))))>
#<alt (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re))))>
#<alt (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re))))>
#<alt (* -1 (* x.re (+ (* 2 (pow x.im 2)) (pow x.im 2))))>
#<alt (* -1 (* x.re (+ (* 2 (pow x.im 2)) (pow x.im 2))))>
#<alt (* -1 (* x.re (+ (* 2 (pow x.im 2)) (pow x.im 2))))>
#<alt (* -1 (* x.re (+ (* 2 (pow x.im 2)) (pow x.im 2))))>
#<alt (* -1 (* x.re (+ (* 2 (pow x.im 2)) (pow x.im 2))))>
#<alt (* -1 (* x.re (+ (* 2 (pow x.im 2)) (pow x.im 2))))>
#<alt (* -1 (* x.re (+ (* 2 (pow x.im 2)) (pow x.im 2))))>
#<alt (* -1 (* x.re (+ (* 2 (pow x.im 2)) (pow x.im 2))))>
#<alt (* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))>
#<alt (* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))>
#<alt (* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))>
#<alt (* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* -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 (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 (* 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 (* 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))>

Calls

111 calls:

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

rewrite358.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3784×	`-lowering-.f32`
3784×	`-lowering-.f64`
3094×	`/-lowering-/.f32`
3094×	`/-lowering-/.f64`
1748×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	143
1	220	123
2	1868	119
0	9292	119

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 958

Calls

Call 1

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

Outputs
(+.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
(+.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
(+.f64 (.f64 x.re (.f64 #s(literal -3 binary64) (.f64 x.im x.im))) (.f64 x.re (*.f64 x.re x.re)))
(+.f64 (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re) (.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 #s(literal -3 binary64) (*.f64 x.im x.im)))))) #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 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 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (.f64 x.im x.im))))) (/.f64 x.re (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x.re 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 x.re x.re) (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im 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.re (.f64 #s(literal -3 binary64) (.f64 x.im x.im))))
(fma.f64 (.f64 x.re x.re) x.re (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re))
(fma.f64 x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.im)) (.f64 x.re (.f64 x.re x.re)))
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(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 (.f64 x.re x.re)) (.f64 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 x.im (.f64 x.im (.f64 x.im x.im)))) #s(literal 81 binary64)))) #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 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))) (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
(.f64 (+.f64 (.f64 (.f64 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 (.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)) (.f64 (.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 (.f64 x.re x.re)) (.f64 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))) #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 (-.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 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 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)))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x.re)))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x.re)) #s(literal 2 binary64)))
(pow.f64 x.re #s(literal 4 binary64))
(pow.f64 (*.f64 x.re x.re) #s(literal 2 binary64))
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(.f64 (.f64 x.re x.re) (*.f64 x.re x.re))
(.f64 (.f64 x.re (*.f64 x.re x.re)) x.re)
(.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 1 binary64))
(.f64 x.im (.f64 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 x.im x.im) #s(literal -3 binary64))
(+.f64 (.f64 x.re (.f64 x.im x.im)) (.f64 x.re (.f64 x.im x.im)))
(fma.f64 x.re (.f64 x.im x.im) (.f64 x.re (*.f64 x.im x.im)))
(fma.f64 x.im (.f64 x.re x.im) (.f64 x.re (*.f64 x.im x.im)))
(fma.f64 (.f64 x.re x.im) x.im (.f64 x.re (*.f64 x.im x.im)))
(fma.f64 (.f64 x.im x.im) x.re (.f64 x.re (*.f64 x.im x.im)))
(/.f64 (+.f64 (.f64 (.f64 (.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 x.re (.f64 x.im x.im))) (.f64 (.f64 x.re (.f64 x.im x.im)) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))))) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))))
(/.f64 (+.f64 (.f64 (.f64 (.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 x.re (.f64 x.im x.im))) (.f64 (.f64 (.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 x.re (.f64 x.im x.im)))) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (.f64 (.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))))) (.f64 (.f64 (.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 x.re (*.f64 x.im x.im))))
(/.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))) (.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im (*.f64 x.im x.im)))))
(/.f64 (+.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))) (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im (*.f64 x.im x.im)))))))
(.f64 x.re (/.f64 (.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64)))
(.f64 x.im (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)))
(.f64 (.f64 x.re x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.im))
(.f64 (/.f64 (.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64)) x.im)
(.f64 (/.f64 (.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64)) x.re)
(.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)

simplify318.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

3800×	`-lowering-.f32`
3800×	`-lowering-.f64`
2116×	`fma-lowering-fma.f32`
2116×	`fma-lowering-fma.f64`
1882×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	3320
1	501	2852
2	1484	2770
3	5138	2769
0	8137	2769

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

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

eval207.0ms (2.3%)

Compiler: Compiled 44464 to 2872 computations (93.5% saved)

prune194.0ms (2.1%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1526	5	1531
Fresh	1	1	2
Picked	4	1	5
Done	1	4	5
Total	1532	11	1543

Accuracy

100.0%

Counts

1543 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.8%	(pow.f64 x.re #s(literal 3 binary64))
	56.8%	(/.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
	55.1%	(/.f64 x.re (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)))
	55.1%	(-.f64 (neg.f64 (.f64 x.re (.f64 x.im x.im))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
	54.9%	(.f64 (/.f64 (.f64 x.re x.im) (/.f64 x.im x.re)) (/.f64 x.im (/.f64 x.im x.re)))
	53.8%	(.f64 (/.f64 x.im x.im) (/.f64 (.f64 x.re x.im) (/.f64 x.im (*.f64 x.re x.re))))
✓	59.8%	(.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im)
✓	59.7%	(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
✓	55.1%	(.f64 (.f64 x.im (*.f64 x.im #s(literal -3 binary64))) x.re)
✓	56.8%	(.f64 x.re (.f64 x.re x.re))
✓	55.1%	(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))

Compiler

Compiled 615 to 189 computations (69.3% saved)

regimes32.0ms (0.3%)

Counts

32 → 2

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	x.re
10.0ms	(-.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))
9.0ms	x.im

Results

Accuracy	Segments	Branch
98.2%	2	`x.re`
97.4%	2	`x.im`
97.9%	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)

regimes21.0ms (0.2%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	x.re
7.0ms	x.im

Results

Accuracy	Segments	Branch
97.4%	2	`x.im`
97.9%	3	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

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

Calls

1 calls:

4.0ms

x.im

Results

Accuracy	Segments	Branch
97.4%	2	`x.im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x.im
4.0ms	x.re

Results

Accuracy	Segments	Branch
83.0%	2	`x.re`
86.4%	2	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

x.im

Results

Accuracy	Segments	Branch
86.4%	2	`x.im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

x.im

Results

Accuracy	Segments	Branch
86.3%	2	`x.im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

x.im

Results

Accuracy	Segments	Branch
86.3%	2	`x.im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
78.3%	2	`x.re`
81.7%	2	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

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

Calls

1 calls:

2.0ms

x.im

Results

Accuracy	Segments	Branch
81.6%	2	`x.im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

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:

10.0ms	x.im
1.0ms	x.re

Results

Accuracy	Segments	Branch
56.8%	1	`x.re`
56.8%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.8488966816092296e+170	1.074108793284204e+172

Results

10.0ms

112×

valid

Compiler

Compiled 236 to 134 computations (43.2% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	1.1318711757346638e+148	2.1564793725444706e+150

Results

10.0ms

112×

valid

Compiler

Compiled 194 to 127 computations (34.5% saved)

Precisions

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

ival-mult: 4.0ms (66.4% of total)

ival-sub: 1.0ms (16.6% of total)

ival-add: 1.0ms (16.6% of total)

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.1318711757346638e+148	2.1564793725444706e+150

Results

14.0ms

112×

valid

Compiler

Compiled 194 to 127 computations (34.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 9.0ms (88.2% of total)

ival-sub: 1.0ms (9.8% of total)

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

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	7.688799603718667e-8	9.297013239378716e-7

Results

8.0ms

96×

valid

Compiler

Compiled 146 to 99 computations (32.2% saved)

Precisions

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

ival-mult: 4.0ms (74.9% of total)

ival-sub: 1.0ms (18.7% of total)

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

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	7.688799603718667e-8	9.297013239378716e-7

Results

9.0ms

96×

valid

Compiler

Compiled 134 to 87 computations (35.1% saved)

Precisions

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

ival-mult: 4.0ms (74.5% of total)

ival-sub: 1.0ms (18.6% of total)

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

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	7.688799603718667e-8	9.297013239378716e-7

Results

9.0ms

96×

valid

Compiler

Compiled 134 to 87 computations (35.1% saved)

Precisions

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

ival-mult: 4.0ms (75.5% of total)

ival-sub: 1.0ms (18.9% of total)

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

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	7.688799603718667e-8	9.297013239378716e-7

Results

13.0ms

96×

valid

Compiler

Compiled 134 to 87 computations (35.1% saved)

Precisions

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

ival-mult: 8.0ms (84.7% of total)

ival-sub: 1.0ms (10.6% of total)

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

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	7.688799603718667e-8	9.297013239378716e-7

Results

8.0ms

96×

valid

Compiler

Compiled 134 to 87 computations (35.1% saved)

Precisions

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

ival-mult: 4.0ms (75.9% of total)

ival-sub: 1.0ms (19% of total)

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

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	7.688799603718667e-8	9.297013239378716e-7

Results

8.0ms

96×

valid

Compiler

Compiled 134 to 87 computations (35.1% saved)

Precisions

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

ival-mult: 4.0ms (75.4% of total)

ival-sub: 1.0ms (18.8% of total)

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

const: 0.0ms (0% of total)

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

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

46×	`*-commutative_binary64`
22×	`+-commutative_binary64`
14×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	175
1	92	175
2	107	175
3	121	175
4	128	175
5	131	175
6	132	175

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.re #s(literal 1300000000000000004521346812278397353208204019248892334680919957998666140343524487035307365371041824734840433606206214825916237816259099894102005037664194341169831291650048 binary64)) (-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 x.im #s(literal 2099999999999999977925720069508658903936647226663782824332480118506561742664980003766208566929012502276450594403058750444253808052192096629655125098496 binary64)) (.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))) x.re) (.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 2099999999999999977925720069508658903936647226663782824332480118506561742664980003766208566929012502276450594403058750444253808052192096629655125098496 binary64)) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))) (.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 8689154328480147/9444732965739290427392 binary64)) (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 x.re x.re))) (.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) x.im))
(if (<=.f64 x.im #s(literal 519460313115661/1180591620717411303424 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
(if (<=.f64 x.im #s(literal 6139076427730539/9444732965739290427392 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im))
(if (<=.f64 x.im #s(literal 4911261142184431/18889465931478580854784 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 2833419889721787/18889465931478580854784 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.im (*.f64 x.im #s(literal -3 binary64))) x.re))
(if (<=.f64 x.im #s(literal 2833419889721787/9444732965739290427392 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))
(.f64 x.re (.f64 x.re x.re))

Outputs
(if (<=.f64 x.re #s(literal 1300000000000000004521346812278397353208204019248892334680919957998666140343524487035307365371041824734840433606206214825916237816259099894102005037664194341169831291650048 binary64)) (-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 1300000000000000004521346812278397353208204019248892334680919957998666140343524487035307365371041824734840433606206214825916237816259099894102005037664194341169831291650048 binary64)) (-.f64 (.f64 (+.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) (.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 x.im #s(literal 2099999999999999977925720069508658903936647226663782824332480118506561742664980003766208566929012502276450594403058750444253808052192096629655125098496 binary64)) (.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))) x.re) (.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 2099999999999999977925720069508658903936647226663782824332480118506561742664980003766208566929012502276450594403058750444253808052192096629655125098496 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.im) (*.f64 x.im #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 2099999999999999977925720069508658903936647226663782824332480118506561742664980003766208566929012502276450594403058750444253808052192096629655125098496 binary64)) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))) (.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 2099999999999999977925720069508658903936647226663782824332480118506561742664980003766208566929012502276450594403058750444253808052192096629655125098496 binary64)) (.f64 x.re (+.f64 (.f64 x.re 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))))
(if (<=.f64 x.im #s(literal 8689154328480147/9444732965739290427392 binary64)) (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 x.re x.re))) (.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) x.im))
(if (<=.f64 x.im #s(literal 8689154328480147/9444732965739290427392 binary64)) (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 x.re x.re))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 519460313115661/1180591620717411303424 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
(if (<=.f64 x.im #s(literal 519460313115661/1180591620717411303424 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 6139076427730539/9444732965739290427392 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im))
(if (<=.f64 x.im #s(literal 6139076427730539/9444732965739290427392 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal -3 binary64)))))
(if (<=.f64 x.im #s(literal 4911261142184431/18889465931478580854784 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 2833419889721787/18889465931478580854784 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.im (*.f64 x.im #s(literal -3 binary64))) x.re))
(if (<=.f64 x.im #s(literal 2833419889721787/18889465931478580854784 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(if (<=.f64 x.im #s(literal 2833419889721787/9444732965739290427392 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))
(if (<=.f64 x.im #s(literal 2833419889721787/9444732965739290427392 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 #s(literal -3 binary64) (.f64 x.re (*.f64 x.im x.im))))
(.f64 x.re (.f64 x.re x.re))

soundness2.3s (25.5%)

Rules

4034×	`-lowering-.f32`
4034×	`-lowering-.f64`
4034×	`-lowering-.f32`
4034×	`-lowering-.f64`
3800×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	75	1410
1	241	1137
2	763	1125
3	3363	1125
0	8770	1125
0	15	65
1	114	54
0	933	54
0	25	103
1	160	83
2	1409	79
0	9280	79
0	163	3320
1	501	2852
2	1484	2770
3	5138	2769
0	8137	2769
0	26	128
1	154	90
2	1244	90
0	8451	90
0	11	15
1	35	14
2	83	13
3	265	10
4	909	9
5	5329	9
0	8135	9

Stop Event

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

Compiler

Compiled 462 to 252 computations (45.5% saved)

preprocess147.0ms (1.6%)

Remove: (abs x.im)
Compiler: Compiled 614 to 248 computations (59.6% saved)

analyze0.0ms (0%)

sample1.1s (12.2%)

preprocess184.0ms (2%)

explain130.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify145.0ms (1.6%)

localize81.0ms (0.9%)

series15.0ms (0.2%)

rewrite98.0ms (1.1%)

simplify263.0ms (2.9%)

eval35.0ms (0.4%)

prune57.0ms (0.6%)

simplify175.0ms (1.9%)

localize161.0ms (1.8%)

series21.0ms (0.2%)

rewrite419.0ms (4.6%)

simplify270.0ms (3%)

eval209.0ms (2.3%)

prune214.0ms (2.3%)

simplify189.0ms (2.1%)

localize271.0ms (3%)

series19.0ms (0.2%)

rewrite414.0ms (4.5%)

simplify203.0ms (2.2%)

eval131.0ms (1.4%)

prune91.0ms (1%)

simplify179.0ms (2%)

localize201.0ms (2.2%)

series16.0ms (0.2%)

rewrite358.0ms (3.9%)

simplify318.0ms (3.5%)

eval207.0ms (2.3%)

prune194.0ms (2.1%)

regimes32.0ms (0.3%)

regimes21.0ms (0.2%)

regimes5.0ms (0.1%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes12.0ms (0.1%)

bsearch15.0ms (0.2%)

bsearch27.0ms (0.3%)

bsearch19.0ms (0.2%)

bsearch13.0ms (0.1%)

bsearch18.0ms (0.2%)

bsearch13.0ms (0.1%)

bsearch17.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch13.0ms (0.1%)

simplify16.0ms (0.2%)

soundness2.3s (25.5%)

preprocess147.0ms (1.6%)

end0.0ms (0%)

Profiling