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)

sample5.2s (42%)

Results

5.0s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 4.7s

ival-mult: 4.5s (96.4% of total)

ival-sub: 106.0ms (2.3% of total)

ival-add: 53.0ms (1.1% of total)

const: 7.0ms (0.1% of total)

backward-pass: 3.0ms (0.1% of total)

Bogosity

preprocess218.0ms (1.7%)

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)

explain123.0ms (1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
24	-	-	`(-.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))`
17	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
12	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
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

75.0ms

512×

valid

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions

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

ival-mult: 22.0ms (70.5% of total)

ival-sub: 6.0ms (19.2% of total)

ival-add: 3.0ms (9.6% of total)

const: 1.0ms (3.2% 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
▶	82.2%	(-.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))
▶	88.8%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))

Status

Accuracy

Program

▶

82.2%

(-.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))

▶

88.8%

(*.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)

simplify138.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

localize96.0ms (0.8%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	95.5%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	accuracy	93.9%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	92.5%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
✓	accuracy	95.5%	(.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))
✓	accuracy	93.9%	(+.f64 (.f64 x.re x.re) (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))

Results

60.0ms

256×

valid

Compiler

Compiled 102 to 16 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 16.0ms (56.9% of total)

ival-add: 9.0ms (32% of total)

ival-sub: 2.0ms (7.1% of total)

const: 0.0ms (0% of total)

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

series27.0ms (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))>
#<alt (* (- (* x.re x.re) (* x.im x.im)) x.re)>
#<alt (- (* x.re x.re) (* x.im x.im))>
#<alt (* x.im x.im)>
#<alt (* (+ (* x.re x.im) (* x.im x.re)) 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 (* 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 (* -1 (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (* 2 (* (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))>

Calls

51 calls:

Time	Variable		Point	Expression
13.0ms	x.re	@	0	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.re	@	inf	(+ (* x.re x.im) (* x.im x.re))
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))

rewrite87.0ms (0.7%)

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

simplify290.0ms (2.3%)

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	3361	1125
0	8767	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 (* 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))))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* 2 (* (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))

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

eval57.0ms (0.5%)

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

prune34.0ms (0.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	364	8	372
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	366	8	374

Accuracy

100.0%

Counts

374 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.5%	(/.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))))
	86.5%	(+.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)))
▶	88.8%	(.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))) x.re)
▶	88.8%	(.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)))
▶	62.8%	(.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)))))
▶	63.3%	(.f64 x.re (.f64 x.re x.re))
▶	46.5%	(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
	51.0%	(.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re)))

Compiler

Compiled 226 to 130 computations (42.5% saved)

simplify312.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)))
✓	cost-diff	6272	(fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))
✓	cost-diff	0	(+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
✓	cost-diff	256	(.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
✓	cost-diff	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 x.im (.f64 x.im #s(literal -3 binary64)))
✓	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 (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))) x.re)

Rules

5542×	`-lowering-.f32`
5542×	`-lowering-.f64`
1816×	`fma-define`
1648×	`/-lowering-/.f32`
1648×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	101
1	57	99
2	159	99
3	426	99
4	661	99
5	832	99
6	1124	99
7	2637	99
8	3472	99
9	4451	99
10	4996	99
11	5477	99
12	6413	99
13	7018	99
14	7607	99
15	7931	99
0	8025	99

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize165.0ms (1.3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	95.5%	(.f64 x.re (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)))
✓	accuracy	93.8%	(fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	95.5%	(.f64 x.re (.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))))
✓	accuracy	79.6%	(.f64 (.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
✓	accuracy	76.5%	(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
✓	accuracy	89.6%	(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
✓	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	99.9%	(.f64 x.re (.f64 x.re x.re))
✓	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))
✓	accuracy	99.8%	(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
✓	accuracy	95.5%	(.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))) x.re)
✓	accuracy	93.9%	(+.f64 (.f64 x.re x.re) (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))

Results

119.0ms

256×

valid

Compiler

Compiled 144 to 19 computations (86.8% saved)

Precisions

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

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

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

compiled-spec: 3.0ms (6.7% of total)

ival-div: 2.0ms (4.5% of total)

const: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Counts

15 → 288

Calls

Call 1

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

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	x.re	@	0	(* x.re (* (* x.im x.im) (+ -3 (/ (* x.re x.re) (* x.im x.im)))))
1.0ms	x.re	@	inf	(* (* x.im x.im) (+ -3 (/ (* x.re x.re) (* x.im x.im))))
0.0ms	x.im	@	inf	(* (* x.im x.im) (+ -3 (/ (* x.re x.re) (* x.im x.im))))
0.0ms	x.re	@	0	(* (* x.im x.im) (+ -3 (/ (* x.re x.re) (* x.im x.im))))
0.0ms	x.im	@	0	(* (* x.im x.im) (+ -3 (/ (* x.re x.re) (* x.im x.im))))

rewrite446.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4334×	`-lowering-.f32`
4334×	`-lowering-.f64`
2460×	`/-lowering-/.f32`
2460×	`/-lowering-/.f64`
1746×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	78
1	109	76
2	889	76
0	8657	76

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 766

Calls

Call 1

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

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

simplify202.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

3210×	`-lowering-.f32`
3210×	`-lowering-.f64`
1362×	`fma-define`
1108×	`fma-lowering-fma.f32`
1108×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	1929
1	110	1521
2	325	1479
3	1292	1479
4	3952	1479
0	8397	1479

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

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

eval190.0ms (1.5%)

Compiler: Compiled 31690 to 2026 computations (93.6% saved)

prune119.0ms (1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	1401	7	1408
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	1405	11	1416

Accuracy

100.0%

Counts

1416 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.4%	(pow.f64 x.re #s(literal 3 binary64))
▶	88.7%	(/.f64 x.re (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.re x.re) (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))))
	59.3%	(.f64 (/.f64 x.re (/.f64 x.im x.re)) (.f64 (*.f64 (/.f64 x.re x.im) x.im) x.im))
✓	88.8%	(.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))) x.re)
▶	34.0%	(.f64 (.f64 x.re (.f64 x.re (.f64 x.im x.im))) (/.f64 x.re (*.f64 x.im x.im)))
	46.6%	(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
▶	50.9%	(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
	50.9%	(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.re x.im)) x.im)
✓	62.8%	(.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)))))
✓	63.3%	(.f64 x.re (.f64 x.re x.re))
▶	51.0%	(.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re)))

Compiler

Compiled 209 to 127 computations (39.2% saved)

simplify364.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	6208	(pow.f64 x.re #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(.f64 x.re (.f64 x.im x.im))
✓	cost-diff	0	(.f64 x.re (.f64 x.re (*.f64 x.im x.im)))
✓	cost-diff	512	(.f64 (.f64 x.re (.f64 x.re (.f64 x.im x.im))) (/.f64 x.re (*.f64 x.im x.im)))
✓	cost-diff	0	(*.f64 x.im #s(literal -3 binary64))
✓	cost-diff	0	(*.f64 x.re x.im)
✓	cost-diff	0	(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
✓	cost-diff	0	(*.f64 x.im x.re)
✓	cost-diff	0	(.f64 x.im (.f64 x.im x.re))
✓	cost-diff	0	(.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re)))
✓	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

6208×	`-lowering-.f32`
6208×	`-lowering-.f64`
3484×	`cube-prod`
1712×	`pow-lowering-pow.f64`
1712×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	108
1	53	104
2	120	101
3	341	93
4	674	89
5	1179	89
6	2491	89
7	3174	89
8	3751	89
9	4044	89
10	4366	89
11	4772	89
12	5268	89
13	5726	89
14	5964	89
15	6052	89
16	6144	89
17	6251	89
18	6637	89
19	7431	89
0	8083	89

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

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

localize113.0ms (0.9%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x.re #s(literal 3 binary64))
✓	accuracy	93.6%	(.f64 x.re (.f64 x.re (*.f64 x.im x.im)))
✓	accuracy	89.6%	(.f64 x.re (.f64 x.im x.im))
✓	accuracy	86.9%	(/.f64 x.re (*.f64 x.im x.im))
✓	accuracy	77.8%	(.f64 (.f64 x.re (.f64 x.re (.f64 x.im x.im))) (/.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	99.7%	(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
✓	accuracy	100.0%	(*.f64 x.im x.re)
✓	accuracy	99.8%	(.f64 x.im (.f64 x.im x.re))
✓	accuracy	99.8%	(.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re)))
✓	accuracy	99.8%	(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
✓	accuracy	98.7%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.re x.re) (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
✓	accuracy	95.6%	(/.f64 x.re (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x.re x.re) (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))))
✓	accuracy	93.9%	(+.f64 (.f64 x.re x.re) (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))

Results

86.0ms

256×

valid

Compiler

Compiled 125 to 23 computations (81.6% saved)

Precisions

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

ival-mult: 21.0ms (60.8% of total)

ival-div: 7.0ms (20.3% of total)

ival-add: 3.0ms (8.7% of total)

ival-pow: 3.0ms (8.7% of total)

const: 1.0ms (2.9% of total)

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

series12.0ms (0.1%)

Counts

17 → 348

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

Calls

87 calls:

Time	Variable		Point	Expression
3.0ms	x.im	@	0	(/ 1 (+ (* x.re x.re) (* x.im (* x.im -3))))
2.0ms	x.re	@	inf	(/ 1 (+ (* x.re x.re) (* x.im (* x.im -3))))
0.0ms	x.re	@	0	(/ 1 (+ (* x.re x.re) (* x.im (* x.im -3))))
0.0ms	x.im	@	inf	(/ 1 (+ (* x.re x.re) (* x.im (* x.im -3))))
0.0ms	x.re	@	-inf	(/ x.re (* x.im x.im))

rewrite286.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3286×	`-lowering-.f32`
3286×	`-lowering-.f64`
1876×	`/-lowering-/.f32`
1876×	`/-lowering-/.f64`
1688×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	84
1	96	80
2	541	78
3	5297	77
0	8035	77

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 589

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

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

simplify257.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

4012×	`-lowering-.f32`
4012×	`-lowering-.f64`
1788×	`/-lowering-/.f32`
1788×	`/-lowering-/.f64`
1608×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	127	2146
1	371	1787
2	1106	1734
3	3697	1734
0	8537	1734

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

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

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

eval123.0ms (1%)

Compiler: Compiled 20505 to 1662 computations (91.9% saved)

prune82.0ms (0.7%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	979	2	981
Fresh	0	3	3
Picked	2	3	5
Done	0	3	3
Total	981	11	992

Accuracy

100.0%

Counts

992 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.3%	(/.f64 (*.f64 x.re x.re) (/.f64 #s(literal 1 binary64) x.re))
▶	63.3%	(/.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
▶	59.3%	(.f64 (/.f64 x.re (/.f64 x.im x.re)) (.f64 (*.f64 (/.f64 x.re x.im) x.im) x.im))
✓	88.8%	(.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))) x.re)
✓	34.0%	(.f64 (.f64 x.re (.f64 x.re (.f64 x.im x.im))) (/.f64 x.re (*.f64 x.im x.im)))
▶	46.6%	(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
✓	50.9%	(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
▶	50.9%	(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.re x.im)) x.im)
✓	62.8%	(.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)))))
✓	63.3%	(.f64 x.re (.f64 x.re x.re))
✓	51.0%	(.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re)))

Compiler

Compiled 172 to 104 computations (39.5% saved)

simplify424.0ms (3.4%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

6030×	`-lowering-.f32`
6030×	`-lowering-.f64`
2548×	`cube-prod`
2462×	`/-lowering-/.f32`
2462×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	77
1	54	73
2	114	70
3	295	70
4	584	70
5	1577	70
6	1982	70
7	2180	70
8	2227	70
9	2252	70
10	2296	70
11	4198	70
12	4586	70
13	4881	70
14	5159	70
15	5506	70
16	5912	70
17	6388	70
18	6648	70
19	6792	70
20	6857	70
21	6913	70
22	6969	70
23	7398	70
0	8172	70

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize152.0ms (1.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 (/.f64 x.re x.im) x.im) x.im)
✓	accuracy	99.8%	(/.f64 x.re (/.f64 x.im x.re))
✓	accuracy	92.9%	(.f64 (/.f64 x.re (/.f64 x.im x.re)) (.f64 (*.f64 (/.f64 x.re x.im) x.im) x.im))
✓	accuracy	76.4%	(*.f64 (/.f64 x.re x.im) x.im)
✓	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	99.8%	(/.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
✓	accuracy	89.6%	(.f64 x.re (.f64 x.im x.im))
✓	accuracy	100.0%	(*.f64 x.re x.im)
✓	accuracy	99.8%	(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.re x.im)) x.im)
✓	accuracy	99.7%	(.f64 #s(literal -3 binary64) (.f64 x.re x.im))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x.re)
✓	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	99.8%	(/.f64 (*.f64 x.re x.re) (/.f64 #s(literal 1 binary64) x.re))

Results

81.0ms

256×

valid

Compiler

Compiled 109 to 22 computations (79.8% saved)

Precisions

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

ival-mult: 17.0ms (53.2% of total)

ival-div: 14.0ms (43.8% of total)

const: 1.0ms (3.1% of total)

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

series8.0ms (0.1%)

Counts

16 → 312

Calls

Call 1

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

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

Calls

78 calls:

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

rewrite236.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1716×	`/-lowering-/.f32`
1716×	`/-lowering-/.f64`
1528×	`-lowering-.f32`
1528×	`-lowering-.f64`
1352×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	64
1	94	57
2	453	53
3	3707	53
0	8896	53

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1412

Calls

Call 1

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

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

simplify87.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

72×	`-lowering-.f32`
72×	`-lowering-.f64`
20×	`*-commutative`
20×	`associate-r`
20×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	1224
1	33	1092
2	54	1092
3	64	1092
0	64	1092

Stop Event

1×	iter limit
1×	saturated

Counts

312 → 312

Calls

Call 1

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

Outputs
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
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(/.f64 x.im x.re)
(/ x.im x.re)
(/.f64 x.im x.re)
(/ x.im x.re)
(/.f64 x.im x.re)
(/ x.im x.re)
(/.f64 x.im x.re)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)

eval278.0ms (2.2%)

Compiler: Compiled 26899 to 2344 computations (91.3% saved)

prune150.0ms (1.2%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	1836	4	1840
Fresh	0	0	0
Picked	1	4	5
Done	1	5	6
Total	1838	13	1851

Accuracy

100.0%

Counts

1851 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.2%	(/.f64 (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) (/.f64 #s(literal 1 binary64) x.re))
✓	63.3%	(/.f64 (*.f64 x.re x.re) (/.f64 #s(literal 1 binary64) x.re))
	60.2%	(/.f64 (.f64 x.re x.im) (/.f64 x.im (.f64 x.re x.re)))
✓	63.3%	(/.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
	63.2%	(/.f64 x.re (*.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 #s(literal 1 binary64) x.re)))
✓	88.8%	(.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))) x.re)
✓	46.6%	(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
✓	50.9%	(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
✓	50.9%	(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.re x.im)) x.im)
✓	62.8%	(.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)))))
✓	63.3%	(.f64 x.re (.f64 x.re x.re))
✓	51.0%	(.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re)))
	20.0%	(neg.f64 (.f64 x.re (.f64 x.re x.re)))

Compiler

Compiled 371 to 153 computations (58.8% saved)

regimes22.0ms (0.2%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	(-.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))
7.0ms	x.im
7.0ms	x.re

Results

Accuracy	Segments	Branch
95.9%	2	`x.re`
97.1%	2	`x.im`
95.9%	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)

regimes5.0ms (0%)

Counts

13 → 2

Calls

Call 1

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

Calls

1 calls:

4.0ms

x.im

Results

Accuracy	Segments	Branch
97.1%	2	`x.im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes25.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	x.im
4.0ms	x.re

Results

Accuracy	Segments	Branch
83.4%	2	`x.re`
83.7%	2	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	x.re
1.0ms	x.im

Results

Accuracy	Segments	Branch
63.3%	1	`x.re`
66.6%	2	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	x.im
1.0ms	x.re

Results

Accuracy	Segments	Branch
63.3%	1	`x.re`
63.3%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	2.4855114947552542e+141	4.620938947708969e+144

Results

11.0ms

128×

valid

Compiler

Compiled 218 to 143 computations (34.4% saved)

Precisions

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

ival-mult: 5.0ms (72.8% of total)

ival-sub: 1.0ms (14.6% of total)

ival-add: 1.0ms (14.6% of total)

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.4855114947552542e+141	4.620938947708969e+144

Results

11.0ms

128×

valid

Compiler

Compiled 218 to 143 computations (34.4% saved)

Precisions

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

ival-mult: 5.0ms (72.2% of total)

ival-sub: 1.0ms (14.4% of total)

ival-add: 1.0ms (14.4% 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	1.5458863588177714e+100	5.531741190326483e+100

Results

10.0ms

80×

valid

Compiler

Compiled 116 to 75 computations (35.3% saved)

Precisions

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

ival-mult: 6.0ms (86.7% of total)

ival-sub: 1.0ms (14.5% of total)

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

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.0985132949114195e+223	6.772080625064525e+224

Results

11.0ms

112×

valid

Compiler

Compiled 145 to 92 computations (36.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 6.0ms (78.8% of total)

ival-sub: 1.0ms (13.1% of total)

ival-add: 1.0ms (13.1% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	80
1	46	80
2	57	80
3	62	80
4	64	80

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.im #s(literal 4499999999999999673624805907552652299211744402872241181687299421544728562551658105522219982343371223586055907330471444623693646545197268803256320 binary64)) (.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))) x.re) (.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re))))
(if (<=.f64 x.im #s(literal 4499999999999999673624805907552652299211744402872241181687299421544728562551658105522219982343371223586055907330471444623693646545197268803256320 binary64)) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))) (.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re))))
(if (<=.f64 x.im #s(literal 18999999999999998165219149637136464878477438765625237333936999402367420290130073302750879247398600704 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re))))
(if (<=.f64 x.im #s(literal 170000000000000009206520086308476962420121883316425478929442606286802503366497157028135197184099018680920145229713151252441573364124057859373940583278779624921302274643625605856512354086252309995884814720892467169652172128256 binary64)) (.f64 x.re (.f64 x.re x.re)) (neg.f64 (.f64 x.re (.f64 x.re x.re))))
(.f64 x.re (.f64 x.re x.re))

Outputs
(if (<=.f64 x.im #s(literal 4499999999999999673624805907552652299211744402872241181687299421544728562551658105522219982343371223586055907330471444623693646545197268803256320 binary64)) (.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64)))) x.re) (.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re))))
(if (<=.f64 x.im #s(literal 4499999999999999673624805907552652299211744402872241181687299421544728562551658105522219982343371223586055907330471444623693646545197268803256320 binary64)) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal -3 binary64))))) (.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re))))
(if (<=.f64 x.im #s(literal 4499999999999999673624805907552652299211744402872241181687299421544728562551658105522219982343371223586055907330471444623693646545197268803256320 binary64)) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))) (.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re))))
(if (<=.f64 x.im #s(literal 4499999999999999673624805907552652299211744402872241181687299421544728562551658105522219982343371223586055907330471444623693646545197268803256320 binary64)) (.f64 x.re (+.f64 (.f64 x.re x.re) (.f64 #s(literal -3 binary64) (.f64 x.im x.im)))) (.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re))))
(if (<=.f64 x.im #s(literal 18999999999999998165219149637136464878477438765625237333936999402367420290130073302750879247398600704 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im x.re))))
(if (<=.f64 x.im #s(literal 170000000000000009206520086308476962420121883316425478929442606286802503366497157028135197184099018680920145229713151252441573364124057859373940583278779624921302274643625605856512354086252309995884814720892467169652172128256 binary64)) (.f64 x.re (.f64 x.re x.re)) (neg.f64 (.f64 x.re (.f64 x.re x.re))))
(if (<=.f64 x.im #s(literal 170000000000000009206520086308476962420121883316425478929442606286802503366497157028135197184099018680920145229713151252441573364124057859373940583278779624921302274643625605856512354086252309995884814720892467169652172128256 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re (-.f64 #s(literal 0 binary64) x.re))))
(.f64 x.re (.f64 x.re x.re))

soundness1.9s (15.6%)

Rules

4334×	`-lowering-.f32`
4334×	`-lowering-.f64`
4034×	`-lowering-.f32`
4034×	`-lowering-.f64`
3286×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	75	1410
1	241	1137
2	763	1125
3	3361	1125
0	8767	1125
0	19	78
1	109	76
2	889	76
0	8657	76
0	21	64
1	94	57
2	453	53
3	3707	53
0	8896	53
0	22	84
1	96	80
2	541	78
3	5297	77
0	8035	77
0	15	65
1	114	54
0	933	54
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×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 191 to 105 computations (45% saved)

preprocess51.0ms (0.4%)

Remove: (negabs x.re)
Compiler: Compiled 390 to 188 computations (51.8% saved)

analyze0.0ms (0%)

sample5.2s (42%)

preprocess218.0ms (1.7%)

explain123.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify138.0ms (1.1%)

localize96.0ms (0.8%)

series27.0ms (0.2%)

rewrite87.0ms (0.7%)

simplify290.0ms (2.3%)

eval57.0ms (0.5%)

prune34.0ms (0.3%)

simplify312.0ms (2.5%)

localize165.0ms (1.3%)

series12.0ms (0.1%)

rewrite446.0ms (3.6%)

simplify202.0ms (1.6%)

eval190.0ms (1.5%)

prune119.0ms (1%)

simplify364.0ms (2.9%)

localize113.0ms (0.9%)

series12.0ms (0.1%)

rewrite286.0ms (2.3%)

simplify257.0ms (2.1%)

eval123.0ms (1%)

prune82.0ms (0.7%)

simplify424.0ms (3.4%)

localize152.0ms (1.2%)

series8.0ms (0.1%)

rewrite236.0ms (1.9%)

simplify87.0ms (0.7%)

eval278.0ms (2.2%)

prune150.0ms (1.2%)

regimes22.0ms (0.2%)

regimes5.0ms (0%)

regimes25.0ms (0.2%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch23.0ms (0.2%)

bsearch17.0ms (0.1%)

bsearch13.0ms (0.1%)

bsearch16.0ms (0.1%)

simplify9.0ms (0.1%)

soundness1.9s (15.6%)

preprocess51.0ms (0.4%)

end0.0ms (0%)

Profiling