Metrics for math.cube on complex, imaginary part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

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 21 to 13 computations (38.1% saved)

sample1.2s (17%)

Memory

27.2MiB live, 1 304.3MiB allocated

Samples

817.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 550.0ms

ival-mult: 411.0ms (74.7% of total)

ival-add: 95.0ms (17.3% of total)

ival-sub: 35.0ms (6.4% of total)

ival-true: 6.0ms (1.1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain239.0ms (3.3%)

Memory

-21.5MiB live, 260.4MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`	nan-rescue	23	0
↳	`(*.f64 x.re x.re)`	overflow	72
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	117
↳	`(*.f64 x.im x.im)`	overflow	64
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	overflow	117
↳	`(*.f64 x.im x.re)`	overflow	37
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`	overflow	73
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	37
↳	`(*.f64 x.re x.im)`	overflow	37
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	19	0
↳	`(*.f64 x.re x.re)`	overflow	72
↳	`(*.f64 x.im x.im)`	overflow	64
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	*no**	17	0

Confusion

	Predicted +	Predicted -
+	51	0
-	0	205

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	51	0	0
-	0	0	205

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	205
1	43
2	8

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

86.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 34.0ms (82.2% of total)

ival-add: 4.0ms (9.7% of total)

ival-sub: 2.0ms (4.8% of total)

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

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

preprocess410.0ms (5.6%)

Memory

9.1MiB live, 202.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	107
1	99	89
2	300	85
3	1273	57
4	3603	55
5	5588	55
6	6486	55
7	6869	55
8	6989	55
9	7093	55
10	7100	55
0	11	19
0	20	19
1	34	17
2	69	17
3	155	11
4	367	11
5	1039	11
6	1954	11
7	5177	11
8	7566	11
0	8011	11

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x.re)

(negabs x.im)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.3%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify315.0ms (4.3%)

Memory

-1.0MiB live, 162.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	6	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	65
0	20	65
1	34	59
2	69	59
3	155	53
4	367	53
5	1039	53
6	1954	53
7	5177	53
8	7566	53
0	8011	53

Stop Event

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

Calls

Call 1

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

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

localize78.0ms (1.1%)

Memory

0.6MiB live, 39.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.09375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	4.089672361701464	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy	4.195295986641647	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	5.816358774094734	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Samples

70.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-sub: 52.0ms (82.7% of total)

ival-mult: 9.0ms (14.3% of total)

ival-add: 2.0ms (3.2% of total)

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

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

series13.0ms (0.2%)

Memory

21.6MiB live, 21.6MiB allocated

Counts

5 → 22

Calls

Call 1

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

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

Calls

6 calls:

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

simplify208.0ms (2.8%)

Memory

-21.4MiB live, 100.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	198
1	182	192
2	585	192
3	2569	192
4	7315	192
0	8104	187

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

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

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

rewrite131.0ms (1.8%)

Memory

-5.7MiB live, 31.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
0	20	51
1	79	39
0	540	38

Stop Event

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

Counts

5 → 77

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))))
(.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (pow.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) (-.f64 (pow.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (pow.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (pow.f64 (.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (pow.f64 (.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (pow.f64 (.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))))
(fma.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(fma.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(fma.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.im (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(fma.f64 x.im (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))) (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))))
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(*.f64 x.im (+.f64 x.re x.re))
(*.f64 x.re (+.f64 x.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(fma.f64 x.im x.re (*.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.im x.re))
(-.f64 (/.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 x.im x.re) (.f64 x.im x.re))
(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.im)
(.f64 x.im (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.im x.im (.f64 x.re x.re)))
(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 (.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 x.im x.im (.f64 x.re x.re)))
(/.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 (.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 x.im (.f64 x.re x.re) (.f64 x.im (*.f64 (neg.f64 x.im) x.im)))
(fma.f64 (.f64 x.re x.re) x.im (.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(+.f64 (.f64 (.f64 x.re x.re) x.im) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
(+.f64 (.f64 x.im (.f64 x.re x.re)) (.f64 x.im (.f64 (neg.f64 x.im) x.im)))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (.f64 x.re x.re))))
(.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (neg.f64 x.im) x.im))) (-.f64 (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x.im x.im) (fma.f64 x.im x.im (.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 x.im) x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (neg.f64 x.im) x.im)) (.f64 (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 x.im x.im) (fma.f64 x.im x.im (.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (.f64 x.im x.im) (fma.f64 x.im x.im (.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)) (*.f64 (neg.f64 x.im) x.im))
(fma.f64 #s(literal -1 binary64) (.f64 x.im x.im) (.f64 x.re x.re))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(fma.f64 x.im (neg.f64 x.im) (*.f64 x.re x.re))
(fma.f64 x.re x.re (*.f64 (neg.f64 x.im) x.im))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 x.im x.im (.f64 x.re x.re))) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (fma.f64 x.im x.im (.f64 x.re x.re))))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (fma.f64 (.f64 x.im x.im) (fma.f64 x.im x.im (.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (fma.f64 (.f64 x.im x.im) (fma.f64 x.im x.im (.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(+.f64 (.f64 (neg.f64 x.im) x.im) (.f64 x.re x.re))
(+.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)
(*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))
(fma.f64 (.f64 x.im x.re) x.re (.f64 (*.f64 x.im x.re) x.re))
(fma.f64 x.re (.f64 x.im x.re) (.f64 x.re (*.f64 x.im x.re)))
(+.f64 (.f64 (.f64 x.im x.re) x.re) (.f64 (.f64 x.im x.re) x.re))
(+.f64 (.f64 x.re (.f64 x.im x.re)) (.f64 x.re (.f64 x.im x.re)))

eval8.0ms (0.1%)

Memory: 9.2MiB live, 9.2MiB allocated
Compiler: Compiled 2 351 to 322 computations (86.3% saved)

prune5.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	83	7	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	7	91

Accuracy

100.0%

Counts

91 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.6%	(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (neg.f64 x.im) x.im))) (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	90.8%	(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	50.0%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	56.1%	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	50.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))
▶	90.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
	61.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))

Compiler

Compiled 366 to 206 computations (43.7% saved)

simplify262.0ms (3.6%)

Memory

4.9MiB live, 86.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
cost-diff	0	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	3	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
cost-diff	0	(.f64 (.f64 x.im x.re) x.re)
cost-diff	0	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re))
cost-diff	1	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	0	(fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re)))
cost-diff	0	(neg.f64 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re))))
cost-diff	0	(.f64 (neg.f64 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im)
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))
cost-diff	0	(*.f64 x.im (+.f64 x.im x.re))
cost-diff	0	(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	6	(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	321
0	56	329
1	102	305
2	202	305
3	481	279
4	1090	279
5	2565	279
6	6702	279
0	8122	277

Stop Event

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

Calls

Call 1

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

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

localize215.0ms (2.9%)

Memory

6.3MiB live, 80.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	4.089672361701464	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
accuracy	5.816358774094734	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
accuracy	31.062258668783297	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
accuracy	0.09375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	0.09375	(.f64 (.f64 x.im x.re) x.re)
accuracy	5.816358774094734	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy	28.01373581684297	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re))
accuracy	0.0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
accuracy	0.12890625	(.f64 #s(literal -3 binary64) (.f64 x.re x.re))
accuracy	1.999977980844482	(fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re)))
accuracy	4.060938166271405	(.f64 (neg.f64 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im)
accuracy	0.0	(*.f64 x.re x.re)
accuracy	0.12890625	(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
accuracy	8.15086377029299	(.f64 (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)
accuracy	28.00622244894383	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))
accuracy	0.0078125	(*.f64 x.im (+.f64 x.im x.re))
accuracy	0.09375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	0.11328125	(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
accuracy	5.816358774094734	(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Samples

196.0ms

256×

valid

Compiler

Compiled 282 to 27 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-add: 62.0ms (74.1% of total)

ival-mult: 18.0ms (21.5% of total)

ival-sub: 2.0ms (2.4% of total)

ival-neg: 1.0ms (1.2% of total)

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

exact: 0.0ms (0% of total)

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

series74.0ms (1%)

Memory

-10.6MiB live, 26.7MiB allocated

Counts

20 → 63

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
57.0ms	x.re	@	inf	((+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* x.im (+ x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) 3) x.im) (* (* x.re x.re) 3) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.im x.re) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* -3 (* x.re x.re)))
5.0ms	x.im	@	-inf	((+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* x.im (+ x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) 3) x.im) (* (* x.re x.re) 3) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.im x.re) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* -3 (* x.re x.re)))
3.0ms	x.im	@	inf	((+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* x.im (+ x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) 3) x.im) (* (* x.re x.re) 3) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.im x.re) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* -3 (* x.re x.re)))
3.0ms	x.re	@	-inf	((+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* x.im (+ x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) 3) x.im) (* (* x.re x.re) 3) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.im x.re) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* -3 (* x.re x.re)))
3.0ms	x.re	@	0	((+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* x.im (+ x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) 3) x.im) (* (* x.re x.re) 3) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.im x.re) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* -3 (* x.re x.re)))

simplify161.0ms (2.2%)

Memory

-6.2MiB live, 79.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	865
1	617	688
2	2076	604
3	7089	604
0	8043	586

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 63

Calls

Call 1

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

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

rewrite59.0ms (0.8%)

Memory

15.8MiB live, 15.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	247
0	56	247
1	204	219
0	1288	214

Stop Event

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

Counts

20 → 229

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))))
(.f64 (+.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im))) (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im))) (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im))) (pow.f64 (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im))) (pow.f64 (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64))))
(fma.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(fma.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)))
(fma.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) x.im) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(fma.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(fma.f64 (+.f64 x.re x.im) (.f64 x.im (-.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)))
(fma.f64 x.im (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))) (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 x.re x.im))
(*.f64 x.re (+.f64 x.im x.im))
(*.f64 x.im (+.f64 x.re x.re))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(fma.f64 x.im x.re (*.f64 x.re x.im))
(-.f64 (/.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 x.re x.im) (.f64 x.re x.im))
(.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im))
(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
(.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) x.im))
(.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))
(.f64 (+.f64 x.re x.im) (.f64 x.im (-.f64 x.re x.im)))
(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im))
(.f64 x.im (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))
(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.re x.re (.f64 x.im x.im)))
(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 (.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (.f64 (+.f64 x.re x.im) x.im)) (fma.f64 (+.f64 x.re x.im) x.im (*.f64 x.re x.re)))
(/.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) x.im)) (+.f64 x.re x.im))
(/.f64 (.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 (+.f64 x.re x.im) x.im (*.f64 x.re x.re)))
(/.f64 (.f64 (.f64 (+.f64 x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (+.f64 x.re x.im))
(/.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 x.re x.re (.f64 x.im x.im)))
(/.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 (.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (.f64 x.re x.re) x.im (.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 (.f64 x.re x.re) x.im (.f64 x.im (*.f64 (neg.f64 x.im) x.im)))
(fma.f64 (.f64 x.im x.im) (-.f64 x.re x.im) (.f64 (*.f64 x.re x.im) (-.f64 x.re x.im)))
(fma.f64 (.f64 x.re x.im) x.re (.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 (.f64 x.re x.im) x.re (.f64 x.im (*.f64 (neg.f64 x.im) x.im)))
(fma.f64 (-.f64 x.re x.im) (.f64 x.im x.im) (.f64 (-.f64 x.re x.im) (*.f64 x.re x.im)))
(fma.f64 (.f64 (+.f64 x.re x.im) x.im) x.re (.f64 (*.f64 (+.f64 x.re x.im) x.im) (neg.f64 x.im)))
(fma.f64 x.re (.f64 x.re x.im) (.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 x.re (.f64 x.re x.im) (.f64 x.im (*.f64 (neg.f64 x.im) x.im)))
(fma.f64 x.re (.f64 (+.f64 x.re x.im) x.im) (.f64 (neg.f64 x.im) (*.f64 (+.f64 x.re x.im) x.im)))
(fma.f64 x.im (.f64 x.re x.re) (.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 x.im (.f64 x.re x.re) (.f64 x.im (*.f64 (neg.f64 x.im) x.im)))
(+.f64 (.f64 (.f64 x.im x.im) (-.f64 x.re x.im)) (.f64 (.f64 x.re x.im) (-.f64 x.re x.im)))
(+.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) x.im)) (.f64 (neg.f64 x.im) (.f64 (+.f64 x.re x.im) x.im)))
(+.f64 (.f64 (-.f64 x.re x.im) (.f64 x.im x.im)) (.f64 (-.f64 x.re x.im) (.f64 x.re x.im)))
(+.f64 (.f64 (.f64 (+.f64 x.re x.im) x.im) x.re) (.f64 (.f64 (+.f64 x.re x.im) x.im) (neg.f64 x.im)))
(+.f64 (.f64 (.f64 x.re x.re) x.im) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
(+.f64 (.f64 (.f64 x.re x.re) x.im) (.f64 x.im (.f64 (neg.f64 x.im) x.im)))
(*.f64 (+.f64 x.re x.im) x.im)
(*.f64 x.im (+.f64 x.re x.im))
(/.f64 (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) x.im) (-.f64 x.im x.re))
(/.f64 (.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) x.im) (fma.f64 x.re (-.f64 x.re x.im) (.f64 x.im x.im)))
(/.f64 (.f64 x.im (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re))
(/.f64 (.f64 x.im (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 x.re (-.f64 x.re x.im) (.f64 x.im x.im)))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (.f64 x.im x.im) (*.f64 x.re x.im)))))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (-.f64 (.f64 x.im x.im) (*.f64 x.re x.im)))
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(/.f64 (+.f64 (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.re x.re) x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(approx ( (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.re x.re) x.im))) (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.re x.re) x.im)) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.re x.re) x.im)))
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.re x.re) x.im)))
(-.f64 (/.f64 (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.re x.re) x.im)) #s(literal 2 binary64)) (-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.re x.re) x.im)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))) (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.re x.re) x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))))
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.re x.re) x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(approx ( (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.re x.re) x.im)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.re x.re) x.im))
(.f64 (.f64 x.re x.re) x.im)
(.f64 (.f64 x.re x.im) x.re)
(.f64 x.re (.f64 x.re x.im))
(.f64 x.im (.f64 x.re x.re))
(.f64 (-.f64 (pow.f64 (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im (.f64 (neg.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(.f64 (+.f64 (pow.f64 (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im)) (pow.f64 (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (pow.f64 (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im (.f64 (neg.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (pow.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im)) (pow.f64 (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im (.f64 (neg.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im)) (pow.f64 (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))) (fma.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im (.f64 (neg.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 2 binary64)) (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) (.f64 x.im (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im)) (pow.f64 (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) #s(literal 2 binary64))))
(fma.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im))
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im))
(fma.f64 x.im #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 2 binary64)) (fma.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im (.f64 (neg.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (fma.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im (.f64 (neg.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im))
(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
(.f64 x.im #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)))
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)
(*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))))
(fma.f64 (.f64 x.re x.re) x.im (.f64 (*.f64 x.re x.re) x.im))
(fma.f64 (.f64 x.re x.im) x.re (.f64 (*.f64 x.re x.re) x.im))
(fma.f64 x.re (.f64 x.re x.im) (.f64 (*.f64 x.re x.re) x.im))
(fma.f64 x.im (.f64 x.re x.re) (.f64 (*.f64 x.re x.re) x.im))
(+.f64 (.f64 (.f64 x.re x.re) x.im) (.f64 (.f64 x.re x.re) x.im))
(.f64 (.f64 #s(literal -3 binary64) x.re) x.re)
(.f64 #s(literal -3 binary64) (.f64 x.re x.re))
(.f64 (.f64 x.re x.re) #s(literal -3 binary64))
(.f64 x.re (.f64 #s(literal -3 binary64) x.re))

eval85.0ms (1.2%)

Memory: -25.9MiB live, 47.3MiB allocated
Compiler: Compiled 10 282 to 971 computations (90.6% saved)

prune13.0ms (0.2%)

Memory

33.0MiB live, 33.0MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	325	8	333
Fresh	1	1	2
Picked	3	2	5
Done	0	0	0
Total	329	11	340

Accuracy

100.0%

Counts

340 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.8%	(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
▶	88.6%	(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
✓	50.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))
▶	50.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
	50.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
▶	56.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.im) (*.f64 #s(literal 3 binary64) x.re)))
	70.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re))) (.f64 x.re x.re)))
✓	90.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
▶	61.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (neg (+ ( x.im x.im) (* -3 (* x.re x.re)))) (*.f64 (neg.f64 x.im) x.im)) x.im))
	56.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
	61.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))

Compiler

Compiled 556 to 322 computations (42.1% saved)

simplify259.0ms (3.5%)

Memory

-16.3MiB live, 144.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(approx ( x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (-.f64 x.re x.im))
cost-diff	1	(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	3	(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
cost-diff	0	(*.f64 #s(literal 3 binary64) x.re)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) x.re) x.re)
cost-diff	0	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
cost-diff	0	(*.f64 #s(literal 3 binary64) x.re)
cost-diff	0	(*.f64 x.re x.im)
cost-diff	0	(.f64 (.f64 x.re x.im) (*.f64 #s(literal 3 binary64) x.re))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.im) (*.f64 #s(literal 3 binary64) x.re)))
cost-diff	0	(*.f64 (neg.f64 x.im) x.im)
cost-diff	0	#s(approx (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (*.f64 (neg.f64 x.im) x.im))
cost-diff	0	(.f64 #s(approx (neg (+ ( x.im x.im) (* -3 (* x.re x.re)))) (*.f64 (neg.f64 x.im) x.im)) x.im)
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (neg (+ ( x.im x.im) (* -3 (* x.re x.re)))) (*.f64 (neg.f64 x.im) x.im)) x.im))
cost-diff	0	(+.f64 x.im x.re)
cost-diff	0	(*.f64 x.im (+.f64 x.im x.re))
cost-diff	0	(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
cost-diff	6	(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	322
0	71	307
1	131	304
2	240	304
3	566	280
4	1387	271
5	2595	271
6	6005	271
0	8172	270

Stop Event

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

Calls

Call 1

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

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

localize175.0ms (2.4%)

Memory

3.3MiB live, 123.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	0.11328125	(.f64 #s(approx ( x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (-.f64 x.re x.im))
accuracy	3.3174008278325426	(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
accuracy	5.816358774094734	(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.140625	(.f64 (.f64 #s(literal 3 binary64) x.re) x.re)
accuracy	8.15086377029299	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)
accuracy	28.00622244894383	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
accuracy	0.0	(*.f64 x.re x.im)
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.15625	(.f64 (.f64 x.re x.im) (*.f64 #s(literal 3 binary64) x.re))
accuracy	28.00622244894383	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.im) (*.f64 #s(literal 3 binary64) x.re)))
accuracy	0.0	(neg.f64 x.im)
accuracy	0.0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (neg (+ ( x.im x.im) (* -3 (* x.re x.re)))) (*.f64 (neg.f64 x.im) x.im)) x.im))
accuracy	4.060938166271405	(.f64 #s(approx (neg (+ ( x.im x.im) (* -3 (* x.re x.re)))) (*.f64 (neg.f64 x.im) x.im)) x.im)
accuracy	28.07205736319681	#s(approx (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (*.f64 (neg.f64 x.im) x.im))
accuracy	0.0078125	(*.f64 x.im (+.f64 x.im x.re))
accuracy	0.09375	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy	0.11328125	(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
accuracy	5.816358774094734	(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))

Samples

122.0ms

256×

valid

Compiler

Compiled 255 to 38 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 68.0ms (82.2% of total)

ival-add: 8.0ms (9.7% of total)

ival-sub: 2.0ms (2.4% of total)

ival-div: 2.0ms (2.4% of total)

ival-neg: 2.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series62.0ms (0.8%)

Memory

-5.6MiB live, 31.3MiB allocated

Counts

22 → 58

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
47.0ms	x.im	@	0	((+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* x.im (+ x.im x.re)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.im) (* 3 x.re)) (* x.re x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* (+ (* (/ x.im x.re) x.im) x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re) (neg x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms	x.im	@	inf	((+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* x.im (+ x.im x.re)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.im) (* 3 x.re)) (* x.re x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* (+ (* (/ x.im x.re) x.im) x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re) (neg x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms	x.re	@	-inf	((+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* x.im (+ x.im x.re)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.im) (* 3 x.re)) (* x.re x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* (+ (* (/ x.im x.re) x.im) x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re) (neg x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms	x.im	@	-inf	((+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* x.im (+ x.im x.re)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.im) (* 3 x.re)) (* x.re x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* (+ (* (/ x.im x.re) x.im) x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re) (neg x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms	x.re	@	inf	((+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* x.im (+ x.im x.re)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.im) (* 3 x.re)) (* x.re x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* (+ (* (/ x.im x.re) x.im) x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re) (neg x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify235.0ms (3.2%)

Memory

17.6MiB live, 140.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	729
1	603	578
2	1999	500
3	7220	500
0	8412	484

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 56

Calls

Call 1

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

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

rewrite513.0ms (7%)

Memory

-33.8MiB live, 225.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	265
0	71	255
1	252	220
2	1492	220
0	8450	215

Stop Event

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

Counts

22 → 1 022

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x.im x.im)) (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im)))))
(.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) x.im) (-.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im))) (pow.f64 (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x.im x.im))) (pow.f64 (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)))
(.f64 (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 x.im x.im) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)))))))
(.f64 (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 2 binary64) x.im) (-.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im))) (pow.f64 (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im) (.f64 #s(literal 2 binary64) x.im))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x.im x.im)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im))) (/.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im))) (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x.im x.im)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x.im x.im)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x.im x.im)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x.im x.im)) (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x.im x.im))))) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) x.im) (-.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im))) (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im))) (.f64 (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im)) (.f64 #s(literal 4 binary64) (.f64 x.im x.im)))) (.f64 (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.re) (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im))) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (fma.f64 x.re x.re (.f64 x.im x.im))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.re) (fma.f64 (.f64 x.im x.im) (fma.f64 x.re x.re (.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im))) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (fma.f64 (.f64 x.im x.im) (fma.f64 x.re x.re (.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.re) (fma.f64 (+.f64 x.re x.im) x.im (.f64 x.re x.re)) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (.f64 (+.f64 x.re x.im) x.im)))) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (fma.f64 (+.f64 x.re x.im) x.im (*.f64 x.re x.re))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.re) (+.f64 x.re x.im) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) x.im)))) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (+.f64 x.re x.im)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.re) (fma.f64 (+.f64 x.re x.im) x.im (.f64 x.re x.re)) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (fma.f64 (+.f64 x.re x.im) x.im (*.f64 x.re x.re))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.re) (+.f64 x.re x.im) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (.f64 (.f64 (+.f64 x.re x.im) x.im) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (+.f64 x.re x.im)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.re) (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (fma.f64 x.re x.re (.f64 x.im x.im))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.re) (fma.f64 (.f64 x.im x.im) (fma.f64 x.re x.re (.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))))) (.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (fma.f64 (.f64 x.im x.im) (fma.f64 x.re x.re (.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 #s(literal 0 binary64) (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im))) (.f64 #s(literal 0 binary64) (fma.f64 x.re x.re (.f64 x.im x.im))))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (fma.f64 (.f64 x.im x.im) (fma.f64 x.re x.re (.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im))) (.f64 #s(literal 0 binary64) (fma.f64 (.f64 x.im x.im) (fma.f64 x.re x.re (.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (fma.f64 (+.f64 x.re x.im) x.im (.f64 x.re x.re)) (.f64 #s(literal 0 binary64) (.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (.f64 (+.f64 x.re x.im) x.im)))) (.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x.re x.im) x.im (*.f64 x.re x.re))))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (+.f64 x.re x.im) (.f64 #s(literal 0 binary64) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) x.im)))) (.f64 #s(literal 0 binary64) (+.f64 x.re x.im)))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (fma.f64 (+.f64 x.re x.im) x.im (.f64 x.re x.re)) (.f64 #s(literal 0 binary64) (.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))) (.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x.re x.im) x.im (*.f64 x.re x.re))))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (+.f64 x.re x.im) (.f64 #s(literal 0 binary64) (.f64 (.f64 (+.f64 x.re x.im) x.im) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))) (.f64 #s(literal 0 binary64) (+.f64 x.re x.im)))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 #s(literal 0 binary64) (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))) (.f64 #s(literal 0 binary64) (fma.f64 x.re x.re (.f64 x.im x.im))))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (fma.f64 (.f64 x.im x.im) (fma.f64 x.re x.re (.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))))) (.f64 #s(literal 0 binary64) (fma.f64 (.f64 x.im x.im) (fma.f64 x.re x.re (.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im))) (.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.re x.re (*.f64 x.im x.im))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) (fma.f64 (.f64 x.im x.im) (fma.f64 x.re x.re (.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64))) (.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im))) (.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 (.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) (fma.f64 (+.f64 x.re x.im) x.im (.f64 x.re x.re)) (.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (.f64 (+.f64 x.re x.im) x.im)))) (.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 (+.f64 x.re x.im) x.im (.f64 x.re x.re))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) (+.f64 x.re x.im) (.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) x.im)))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (+.f64 x.re x.im)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) (fma.f64 (+.f64 x.re x.im) x.im (.f64 x.re x.re)) (.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))) (.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 (+.f64 x.re x.im) x.im (.f64 x.re x.re))))
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(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 4 binary64) (.f64 x.im x.im)) (.f64 #s(literal 2 binary64) x.im))
(.f64 #s(literal 2 binary64) (.f64 x.re x.im))
(*.f64 #s(literal 2 binary64) x.im)
(.f64 (.f64 #s(literal 2 binary64) x.im) (pow.f64 x.re #s(literal 9 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x.im) (pow.f64 x.re #s(literal 6 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 #s(literal 4 binary64) (.f64 x.im x.im)))
(.f64 (.f64 #s(literal 2 binary64) x.im) (*.f64 x.re x.re))
(.f64 (.f64 #s(literal 2 binary64) x.im) x.re)
(.f64 (.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im))
(.f64 x.re (.f64 #s(literal 2 binary64) x.im))
(*.f64 x.im (+.f64 x.re x.re))
(*.f64 x.im #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal 4 binary64) (.f64 x.im x.im)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 9 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x.im x.im) #s(literal 0 binary64)) (/.f64 (.f64 x.im x.im) #s(literal 0 binary64)) (fma.f64 (/.f64 (.f64 x.im x.im) #s(literal 0 binary64)) (/.f64 (.f64 x.im x.im) #s(literal 0 binary64)) (.f64 (/.f64 (.f64 x.im x.im) #s(literal 0 binary64)) (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (/.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 (/.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x.re x.im) x.re) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x.re x.im) x.re) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x.re x.im) x.re) (.f64 (.f64 x.re x.im) x.re) (-.f64 (.f64 (.f64 (.f64 x.re x.im) x.re) (.f64 (.f64 x.re x.im) x.re)) (.f64 (.f64 (.f64 x.re x.im) x.re) (.f64 (.f64 x.re x.im) x.re)))))
(/.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 x.re (.f64 x.re x.im)) #s(literal 3 binary64))) (fma.f64 (.f64 x.re (.f64 x.re x.im)) (.f64 x.re (.f64 x.re x.im)) (-.f64 (.f64 (.f64 x.re (.f64 x.re x.im)) (.f64 x.re (.f64 x.re x.im))) (.f64 (.f64 x.re (.f64 x.re x.im)) (.f64 x.re (.f64 x.re x.im))))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.re)) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) x.re)) #s(literal 0 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re)) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))))) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x.im x.im) #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (.f64 x.im x.im))) #s(literal 0 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.re) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 3 binary64)) #s(literal 0 binary64))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 (.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))) (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) x.im)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x.im))
(/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(fma.f64 (.f64 x.re x.im) x.re (.f64 (*.f64 x.re x.im) x.re))
(fma.f64 x.re (.f64 x.re x.im) (.f64 x.re (*.f64 x.re x.im)))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(fma.f64 x.im x.re (*.f64 x.re x.im))
(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)))) (/.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))
(-.f64 (/.f64 (fma.f64 x.im x.im (.f64 x.im x.im)) (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (/.f64 (.f64 x.im x.im) (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))))
(-.f64 (/.f64 (.f64 x.im x.im) #s(literal 0 binary64)) (/.f64 (.f64 x.im x.im) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (fma.f64 (log.f64 x.re) #s(literal 3 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64) (.f64 (log.f64 x.re) #s(literal 3 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 x.re x.im) x.re) (.f64 (.f64 x.re x.im) x.re))
(+.f64 (.f64 x.re (.f64 x.re x.im)) (.f64 x.re (.f64 x.re x.im)))
(+.f64 (.f64 x.re x.im) (.f64 x.re x.im))
(+.f64 x.im x.im)

eval188.0ms (2.6%)

Memory: -3.4MiB live, 150.8MiB allocated
Compiler: Compiled 32 286 to 2 661 computations (91.8% saved)

prune116.0ms (1.6%)

Memory

-9.2MiB live, 68.8MiB allocated

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	831	6	837
Fresh	1	3	4
Picked	1	4	5
Done	0	2	2
Total	833	15	848

Accuracy

100.0%

Counts

848 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.9%	(fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im))
	77.0%	(fma.f64 x.im (+.f64 x.re x.re) (.f64 #s(approx ( x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (-.f64 x.re x.im)))
▶	26.2%	(/.f64 (+.f64 (+.f64 x.re x.im) (.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) x.im)))) (.f64 (*.f64 #s(literal 2 binary64) x.im) (+.f64 x.re x.im)))
▶	62.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im) (.f64 #s(literal 2 binary64) x.im))))
✓	90.8%	(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
▶	89.7%	(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (.f64 x.re x.im))) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
✓	50.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))
	56.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
✓	50.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
✓	56.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.im) (*.f64 #s(literal 3 binary64) x.re)))
	70.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re))) (.f64 x.re x.re)))
✓	90.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
✓	61.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (neg (+ ( x.im x.im) (* -3 (* x.re x.re)))) (*.f64 (neg.f64 x.im) x.im)) x.im))
▶	56.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
	61.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))

Compiler

Compiled 628 to 358 computations (43% saved)

simplify382.0ms (5.2%)

Memory

34.0MiB live, 191.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) x.im)))
cost-diff	0	(+.f64 x.re x.im)
cost-diff	3	(+.f64 (+.f64 x.re x.im) (.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) x.im))))
cost-diff	8	(/.f64 (+.f64 (+.f64 x.re x.im) (.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) x.im)))) (.f64 (*.f64 #s(literal 2 binary64) x.im) (+.f64 x.re x.im)))
cost-diff	0	(*.f64 (-.f64 x.re x.im) x.im)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im) (.f64 #s(literal 2 binary64) x.im)))
cost-diff	2	(fma.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im) (.f64 #s(literal 2 binary64) x.im))
cost-diff	4	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im) (.f64 #s(literal 2 binary64) x.im))))
cost-diff	0	#s(approx (* x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))
cost-diff	0	(-.f64 x.re x.im)
cost-diff	0	(fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im))
cost-diff	3	(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
cost-diff	0	(*.f64 #s(literal 3 binary64) x.im)
cost-diff	0	(.f64 x.re (.f64 #s(literal 3 binary64) x.im))
cost-diff	0	(.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
cost-diff	0	(.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (.f64 x.re x.im))) (-.f64 x.re x.im))
cost-diff	1	(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (.f64 x.re x.im))) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	4	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (.f64 x.re x.im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	385
0	79	387
1	164	372
2	441	365
3	1826	359
4	3966	327
5	6391	327
0	8084	321

Stop Event

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

Calls

Call 1

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

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

localize210.0ms (2.9%)

Memory

-21.6MiB live, 180.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(.f64 (.f64 #s(literal 2 binary64) x.im) (+.f64 x.re x.im))
accuracy	1.033352426511263	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) x.im))
accuracy	2.3524090545754412	(.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 (+.f64 x.re x.im) x.im)))
accuracy	28.802792875431155	(/.f64 (+.f64 (+.f64 x.re x.im) (.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) x.im)))) (.f64 (*.f64 #s(literal 2 binary64) x.im) (+.f64 x.re x.im)))
accuracy	0.01171875	(*.f64 (-.f64 x.re x.im) x.im)
accuracy	0.09375	(fma.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im) (.f64 #s(literal 2 binary64) x.im))
accuracy	0.1640625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im) (.f64 #s(literal 2 binary64) x.im))))
accuracy	0.20668999898988333	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im) (.f64 #s(literal 2 binary64) x.im)))
accuracy	0.0	#s(approx (* x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))
accuracy	0.06640625	(fma.f64 (/.f64 x.im x.re) x.im x.im)
accuracy	0.08984375	(fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im))
accuracy	3.3174008278325426	(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.im)
accuracy	0.14453125	(.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
accuracy	0.14453125	(.f64 x.re (.f64 #s(literal 3 binary64) x.im))
accuracy	28.00622244894383	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
accuracy	0.09375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	0.11328125	(.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (.f64 x.re x.im))) (-.f64 x.re x.im))
accuracy	3.9998225497754776	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (.f64 x.re x.im))
accuracy	5.816358774094734	(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (.f64 x.re x.im))) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Samples

168.0ms

256×

valid

Compiler

Compiled 337 to 46 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-sub: 44.0ms (44.1% of total)

ival-mult: 39.0ms (39.1% of total)

ival-add: 10.0ms (10% of total)

ival-div: 6.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series52.0ms (0.7%)

Memory

-12.2MiB live, 69.6MiB allocated

Counts

24 → 172

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	x.re	@	-inf	((* (+ 1 (/ x.im x.re)) (* x.re x.im)) (+ (* x.re x.im) (* x.im x.re)) (+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 x.im) (* (+ (* (/ x.im x.re) x.im) x.im) x.re) (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (- x.re x.im) (* x.im (+ x.im x.re)) (/ 1 (/ 1 (+ (* (* (- x.re x.im) x.im) (+ x.re x.im)) (* 2 x.im)))) (+ (* (* (- x.re x.im) x.im) (+ x.re x.im)) (* 2 x.im)) (/ 1 (+ (* (* (- x.re x.im) x.im) (+ x.re x.im)) (* 2 x.im))) (* (- x.re x.im) x.im) (/ (+ (+ x.re x.im) (* (* 2 x.im) (* (* (- x.re x.im) (+ x.re x.im)) (* (+ x.re x.im) x.im)))) (* (* 2 x.im) (+ x.re x.im))) (+ (+ x.re x.im) (* (* 2 x.im) (* (* (- x.re x.im) (+ x.re x.im)) (* (+ x.re x.im) x.im)))) (+ x.re x.im) (* (* 2 x.im) (* (* (- x.re x.im) (+ x.re x.im)) (* (+ x.re x.im) x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (+ (* (/ x.im x.re) x.im) x.im) (* (* (- x.re x.im) (+ x.re x.im)) (* (+ x.re x.im) x.im)) (* (* 2 x.im) (+ x.re x.im)))
11.0ms	x.im	@	-inf	((* (+ 1 (/ x.im x.re)) (* x.re x.im)) (+ (* x.re x.im) (* x.im x.re)) (+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 x.im) (* (+ (* (/ x.im x.re) x.im) x.im) x.re) (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (- x.re x.im) (* x.im (+ x.im x.re)) (/ 1 (/ 1 (+ (* (* (- x.re x.im) x.im) (+ x.re x.im)) (* 2 x.im)))) (+ (* (* (- x.re x.im) x.im) (+ x.re x.im)) (* 2 x.im)) (/ 1 (+ (* (* (- x.re x.im) x.im) (+ x.re x.im)) (* 2 x.im))) (* (- x.re x.im) x.im) (/ (+ (+ x.re x.im) (* (* 2 x.im) (* (* (- x.re x.im) (+ x.re x.im)) (* (+ x.re x.im) x.im)))) (* (* 2 x.im) (+ x.re x.im))) (+ (+ x.re x.im) (* (* 2 x.im) (* (* (- x.re x.im) (+ x.re x.im)) (* (+ x.re x.im) x.im)))) (+ x.re x.im) (* (* 2 x.im) (* (* (- x.re x.im) (+ x.re x.im)) (* (+ x.re x.im) x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (+ (* (/ x.im x.re) x.im) x.im) (* (* (- x.re x.im) (+ x.re x.im)) (* (+ x.re x.im) x.im)) (* (* 2 x.im) (+ x.re x.im)))
6.0ms	x.re	@	0	((* (+ 1 (/ x.im x.re)) (* x.re x.im)) (+ (* x.re x.im) (* x.im x.re)) (+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 x.im) (* (+ (* (/ x.im x.re) x.im) x.im) x.re) (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (- x.re x.im) (* x.im (+ x.im x.re)) (/ 1 (/ 1 (+ (* (* (- x.re x.im) x.im) (+ x.re x.im)) (* 2 x.im)))) (+ (* (* (- x.re x.im) x.im) (+ x.re x.im)) (* 2 x.im)) (/ 1 (+ (* (* (- x.re x.im) x.im) (+ x.re x.im)) (* 2 x.im))) (* (- x.re x.im) x.im) (/ (+ (+ x.re x.im) (* (* 2 x.im) (* (* (- x.re x.im) (+ x.re x.im)) (* (+ x.re x.im) x.im)))) (* (* 2 x.im) (+ x.re x.im))) (+ (+ x.re x.im) (* (* 2 x.im) (* (* (- x.re x.im) (+ x.re x.im)) (* (+ x.re x.im) x.im)))) (+ x.re x.im) (* (* 2 x.im) (* (* (- x.re x.im) (+ x.re x.im)) (* (+ x.re x.im) x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (+ (* (/ x.im x.re) x.im) x.im) (* (* (- x.re x.im) (+ x.re x.im)) (* (+ x.re x.im) x.im)) (* (* 2 x.im) (+ x.re x.im)))
5.0ms	x.im	@	inf	((* (+ 1 (/ x.im x.re)) (* x.re x.im)) (+ (* x.re x.im) (* x.im x.re)) (+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 x.im) (* (+ (* (/ x.im x.re) x.im) x.im) x.re) (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (- x.re x.im) (* x.im (+ x.im x.re)) (/ 1 (/ 1 (+ (* (* (- x.re x.im) x.im) (+ x.re x.im)) (* 2 x.im)))) (+ (* (* (- x.re x.im) x.im) (+ x.re x.im)) (* 2 x.im)) (/ 1 (+ (* (* (- x.re x.im) x.im) (+ x.re x.im)) (* 2 x.im))) (* (- x.re x.im) x.im) (/ (+ (+ x.re x.im) (* (* 2 x.im) (* (* (- x.re x.im) (+ x.re x.im)) (* (+ x.re x.im) x.im)))) (* (* 2 x.im) (+ x.re x.im))) (+ (+ x.re x.im) (* (* 2 x.im) (* (* (- x.re x.im) (+ x.re x.im)) (* (+ x.re x.im) x.im)))) (+ x.re x.im) (* (* 2 x.im) (* (* (- x.re x.im) (+ x.re x.im)) (* (+ x.re x.im) x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (+ (* (/ x.im x.re) x.im) x.im) (* (* (- x.re x.im) (+ x.re x.im)) (* (+ x.re x.im) x.im)) (* (* 2 x.im) (+ x.re x.im)))
5.0ms	x.re	@	inf	((* (+ 1 (/ x.im x.re)) (* x.re x.im)) (+ (* x.re x.im) (* x.im x.re)) (+ (* (* x.im (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im (+ x.im x.re)) (- x.re x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 x.im) (* (+ (* (/ x.im x.re) x.im) x.im) x.re) (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (- x.re x.im) (* x.im (+ x.im x.re)) (/ 1 (/ 1 (+ (* (* (- x.re x.im) x.im) (+ x.re x.im)) (* 2 x.im)))) (+ (* (* (- x.re x.im) x.im) (+ x.re x.im)) (* 2 x.im)) (/ 1 (+ (* (* (- x.re x.im) x.im) (+ x.re x.im)) (* 2 x.im))) (* (- x.re x.im) x.im) (/ (+ (+ x.re x.im) (* (* 2 x.im) (* (* (- x.re x.im) (+ x.re x.im)) (* (+ x.re x.im) x.im)))) (* (* 2 x.im) (+ x.re x.im))) (+ (+ x.re x.im) (* (* 2 x.im) (* (* (- x.re x.im) (+ x.re x.im)) (* (+ x.re x.im) x.im)))) (+ x.re x.im) (* (* 2 x.im) (* (* (- x.re x.im) (+ x.re x.im)) (* (+ x.re x.im) x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (+ (* (/ x.im x.re) x.im) x.im) (* (* (- x.re x.im) (+ x.re x.im)) (* (+ x.re x.im) x.im)) (* (* 2 x.im) (+ x.re x.im)))

simplify156.0ms (2.1%)

Memory

20.7MiB live, 252.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	881	3900
1	3106	2913
0	9428	2755

Stop Event

1×	iter limit
1×	node limit

Counts

172 → 170

Calls

Call 1

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

Outputs
(pow x.im 2)
(*.f64 x.im x.im)
(+ (* x.im x.re) (pow x.im 2))
(*.f64 (+.f64 x.re x.im) x.im)
(* 2 (* x.im x.re))
(.f64 (.f64 #s(literal 2 binary64) x.im) x.re)
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.im) x.re #s(literal 0 binary64)) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(fma.f64 (fma.f64 x.re x.im #s(literal 0 binary64)) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(fma.f64 (.f64 (.f64 x.re x.re) x.im) #s(literal 3 binary64) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* 3 (* x.im (pow x.re 2)))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* 3 (* x.im x.re))
(.f64 (.f64 #s(literal 3 binary64) x.im) x.re)
(+ (* -1 (pow x.im 3)) (* 2 x.im))
(fma.f64 #s(literal 2 binary64) x.im (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im))))))
(fma.f64 #s(literal 2 binary64) x.im (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
(-.f64 (fma.f64 (fma.f64 x.re x.im #s(literal 0 binary64)) x.re (*.f64 #s(literal 2 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 x.im)
(neg.f64 x.im)
(- x.re x.im)
(-.f64 x.re x.im)
(/ 1 (+ (* -1 (pow x.im 3)) (* 2 x.im)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x.im (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))))
(+ (* -1 (/ (* x.im (* x.re (+ x.im (* -1 x.im)))) (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 2))) (/ 1 (+ (* -1 (pow x.im 3)) (* 2 x.im))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x.im (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))) (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x.im (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))))
(+ (* x.re (- (* -1 (* x.re (+ (* -1 (/ (* (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2)) (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 3))) (/ x.im (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 2))))) (/ (* x.im (+ x.im (* -1 x.im))) (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 2)))) (/ 1 (+ (* -1 (pow x.im 3)) (* 2 x.im))))
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(* (pow x.im 2) (+ (* 2 (pow x.re 3)) (* x.im (+ (* 2 (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2)))) (* x.im (+ (* -2 x.im) (* 2 (+ x.re (* -2 x.re)))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x.re (.f64 #s(literal -2 binary64) x.im)) x.im (.f64 (.f64 x.re x.re) #s(literal 2 binary64))) x.im (.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 2 binary64))) (.f64 x.im x.im))
(* x.im (+ 1 (/ x.im x.re)))
(fma.f64 (/.f64 x.im x.re) x.im x.im)
(* x.im (+ (* x.im (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2)))) (pow x.re 3)))
(.f64 (fma.f64 (.f64 x.re x.re) x.im (pow.f64 x.re #s(literal 3 binary64))) x.im)
(* x.im (+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* 2 (pow x.re 2)) (* x.im (+ x.re (* -2 x.re)))))) (pow x.re 3)))
(.f64 (fma.f64 (fma.f64 (neg.f64 x.re) x.im (.f64 x.re x.re)) x.im (pow.f64 x.re #s(literal 3 binary64))) x.im)
(* x.im (+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* 2 (pow x.re 2)) (* x.im (+ x.re (+ (* -2 x.re) (* -1 x.im))))))) (pow x.re 3)))
(.f64 (fma.f64 (fma.f64 x.re x.re (.f64 (-.f64 (neg.f64 x.re) x.im) x.im)) x.im (pow.f64 x.re #s(literal 3 binary64))) x.im)
(* x.im (+ (* 2 x.im) (* 2 x.re)))
(.f64 (.f64 #s(literal 2 binary64) (+.f64 x.re x.im)) x.im)
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(.f64 (+.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) (.f64 x.im x.im))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(.f64 (-.f64 (-.f64 (fma.f64 #s(literal 3 binary64) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) (/.f64 x.re x.im)) (/.f64 x.re x.im)) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(.f64 (-.f64 (+.f64 #s(literal 0 binary64) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 (fma.f64 #s(literal 3 binary64) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(.f64 (-.f64 (+.f64 (+.f64 #s(literal 0 binary64) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))) (/.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* x.im (- (/ x.re x.im) 1))
(*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im)
(/ -1 (pow x.im 3))
(/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(/ (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1) (pow x.im 3))
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x.im) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(/ (- (* -1 (/ (+ 2 (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) (pow x.im 2))) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))) (pow x.im 3))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x.im) (/.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(/ (- (* -1 (/ (+ (* (+ 2 (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) (+ x.re (* -1 x.re))) (* (+ 2 (pow x.re 2)) (+ x.re (* -1 x.re)))) (pow x.im 3))) (+ 1 (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.im 2)))))))) (pow x.im 3))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 0 binary64) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))) (/.f64 #s(literal 2 binary64) (.f64 x.im x.im))) (/.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) (.f64 x.im x.im))
(* (pow x.im 3) (- (* 1/2 (/ (- (* 2 (+ x.re (* -2 x.re))) (* -2 x.re)) x.im)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 0 binary64) x.im) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* 1/2 (/ (- (* 2 (+ x.re (* -2 x.re))) (* -2 x.re)) x.im)) (* 1/2 (/ (- (* 2 (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2)))) (* x.re (- (* 2 (+ x.re (* -2 x.re))) (* -2 x.re)))) (pow x.im 2)))) 1))
(.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (.f64 x.re x.re) #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 x.im x.im)) (/.f64 #s(literal 0 binary64) x.im)) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* 1/2 (/ (- (* 2 (+ x.re (* -2 x.re))) (* -2 x.re)) x.im)) (+ (* 1/2 (/ (- (* 2 (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2)))) (* x.re (- (* 2 (+ x.re (* -2 x.re))) (* -2 x.re)))) (pow x.im 2))) (* 1/2 (/ (- (* 2 (pow x.re 3)) (* x.re (- (* 2 (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2)))) (* x.re (- (* 2 (+ x.re (* -2 x.re))) (* -2 x.re)))))) (pow x.im 3))))) 1))
(.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 0 binary64) x.im) (/.f64 (fma.f64 (.f64 x.re x.re) #s(literal 2 binary64) #s(literal 0 binary64)) (.f64 x.im x.im))) (/.f64 (fma.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 (neg.f64 x.re) (.f64 (*.f64 x.re x.re) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 5) (- (* 2 (/ (+ x.re (* -2 x.re)) x.im)) 2))
(*.f64 (fma.f64 (/.f64 x.re x.im) #s(literal -2 binary64) #s(literal -2 binary64)) (pow.f64 x.im #s(literal 5 binary64)))
(* (pow x.im 5) (- (+ (* 2 (/ (+ x.re (* -2 x.re)) x.im)) (* 2 (/ (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2))) (pow x.im 2)))) 2))
(*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) (/.f64 (neg.f64 x.re) x.im)) #s(literal -2 binary64)) (pow.f64 x.im #s(literal 5 binary64)))
(* (pow x.im 5) (- (+ (* 2 (/ (+ x.re (* -2 x.re)) x.im)) (+ (* 2 (/ (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2))) (pow x.im 2))) (* 2 (/ (pow x.re 3) (pow x.im 3))))) 2))
(*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (/.f64 (neg.f64 x.re) x.im)) #s(literal -2 binary64)) (pow.f64 x.im #s(literal 5 binary64)))
(* x.im (+ 1 (/ x.re x.im)))
(fma.f64 (/.f64 x.re x.im) x.im x.im)
(* (pow x.im 2) (+ (/ 1 x.im) (/ 1 x.re)))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 #s(literal 1 binary64) x.im)) (.f64 x.im x.im))
(* (pow x.im 4) (- (+ (* -2 (/ x.re x.im)) (/ x.re x.im)) 1))
(*.f64 (fma.f64 (/.f64 x.re x.im) #s(literal -1 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (+ (* -2 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ x.re x.im)))) 1))
(.f64 (-.f64 (fma.f64 (/.f64 x.re x.im) #s(literal -2 binary64) (fma.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) #s(literal 1 binary64) (/.f64 x.re x.im))) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (+ (* -2 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 3) (pow x.im 3)))))) 1))
(.f64 (-.f64 (fma.f64 (/.f64 x.re x.im) #s(literal -2 binary64) (fma.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (/.f64 x.re x.im)))) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 2) (+ 2 (* 2 (/ x.re x.im))))
(.f64 (fma.f64 (/.f64 x.re x.im) #s(literal 2 binary64) #s(literal 2 binary64)) (.f64 x.im x.im))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (*.f64 x.re x.re) #s(literal -3 binary64)) (neg.f64 x.im)) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal 0 binary64)) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(.f64 (fma.f64 (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) #s(literal -3 binary64) #s(literal 1 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.re x.im)) (neg.f64 x.im))
(* -1 (/ (+ 1 (* -1 (/ (+ x.re (* -1 x.re)) x.im))) (pow x.im 3)))
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x.im) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- 2 (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2)))) x.im)) (* -1 (+ x.re (* -1 x.re)))) x.im))) (pow x.im 3)))
(/.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im) x.im) #s(literal -1 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 2 (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (- 2 (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2))))) x.im)) (/ (* (+ x.re (* -1 x.re)) (- (* -1 (pow x.re 2)) 2)) x.im))) (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2)))) x.im)) (* -1 (+ x.re (* -1 x.re)))) x.im))) (pow x.im 3)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) x.im)) (/.f64 #s(literal 0 binary64) x.im)) (*.f64 x.re x.re)) x.im) #s(literal -1 binary64) #s(literal 0 binary64)) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* -1 (* (pow x.im 3) (+ 1 (* 1/2 (/ (- (* -2 (+ x.re (* -2 x.re))) (* 2 x.re)) x.im)))))
(*.f64 (-.f64 (/.f64 #s(literal 0 binary64) x.im) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1/2 (- (* -2 (+ x.re (* -2 x.re))) (* 2 x.re))) (* 1/2 (/ (- (* -2 (+ (* -2 (pow x.re 2)) (pow x.re 2))) (* -1 (* x.re (- (* -2 (+ x.re (* -2 x.re))) (* 2 x.re))))) x.im))) x.im)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (neg.f64 x.re) x.re) #s(literal -2 binary64) #s(literal 0 binary64)) x.im) #s(literal 1/2 binary64) #s(literal 0 binary64)) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -2 (+ (* -2 (pow x.re 2)) (pow x.re 2))) (* -1 (* x.re (- (* -2 (+ x.re (* -2 x.re))) (* 2 x.re)))))) (* 1/2 (/ (- (* -2 (pow x.re 3)) (* -1 (* x.re (- (* -2 (+ (* -2 (pow x.re 2)) (pow x.re 2))) (* -1 (* x.re (- (* -2 (+ x.re (* -2 x.re))) (* 2 x.re)))))))) x.im))) x.im)) (* -1/2 (- (* -2 (+ x.re (* -2 x.re))) (* 2 x.re)))) x.im)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -2 binary64) (.f64 (fma.f64 (.f64 (neg.f64 x.re) x.re) #s(literal -2 binary64) #s(literal 0 binary64)) x.re)) x.im) #s(literal 1/2 binary64) (.f64 (fma.f64 (*.f64 (neg.f64 x.re) x.re) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))) (neg.f64 x.im)) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* -1 (* (pow x.im 5) (+ 2 (* -2 (/ (+ x.re (* -2 x.re)) x.im)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 x.re x.im) #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x.im #s(literal 5 binary64)))
(* -1 (* (pow x.im 5) (+ 2 (* -1 (/ (+ (* -2 (/ (+ (* -2 (pow x.re 2)) (pow x.re 2)) x.im)) (* 2 (+ x.re (* -2 x.re)))) x.im)))))
(.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x.re (/.f64 (.f64 (*.f64 (neg.f64 x.re) x.re) #s(literal -2 binary64)) x.im)) x.im))) (pow.f64 x.im #s(literal 5 binary64)))
(* -1 (* (pow x.im 5) (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x.re 3) x.im)) (* 2 (+ (* -2 (pow x.re 2)) (pow x.re 2)))) x.im)) (* 2 (+ x.re (* -2 x.re)))) x.im)))))
(.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x.re (/.f64 (fma.f64 (.f64 (neg.f64 x.re) x.re) #s(literal 2 binary64) (*.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) #s(literal -2 binary64))) (neg.f64 x.im))) x.im))) (pow.f64 x.im #s(literal 5 binary64)))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(*.f64 (fma.f64 (/.f64 x.re x.im) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x.im))
(* (pow x.im 4) (- (* -1 (/ (+ (* -2 (/ (pow x.re 2) x.im)) (+ (* -1 (+ x.re (* -2 x.re))) (/ (pow x.re 2) x.im))) x.im)) 1))
(.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 x.re x.re) x.im) #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re)) x.im) #s(literal -1 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (* -1 (/ (+ (* -1 (+ x.re (* -2 x.re))) (* -1 (/ (+ (* -1 (+ (* -2 (pow x.re 2)) (pow x.re 2))) (/ (pow x.re 3) x.im)) x.im))) x.im)) 1))
(*.f64 (fma.f64 (/.f64 (-.f64 x.re (/.f64 (fma.f64 x.re x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)) x.im)) x.im) #s(literal -1 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 4 binary64)))

rewrite177.0ms (2.4%)

Memory

-14.1MiB live, 307.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	304
0	79	301
1	322	273
2	2733	273
0	8342	269

Stop Event

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

Counts

24 → 746

Calls

Call 1

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

Outputs
(.f64 (.f64 (+.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.im)
(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
(.f64 (.f64 x.re x.im) (+.f64 (/.f64 x.im x.re) #s(literal 1 binary64)))
(.f64 (+.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.im))
(*.f64 x.re (fma.f64 (/.f64 x.im x.re) x.im x.im))
(.f64 x.im (.f64 (+.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) x.re))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) (.f64 x.re x.im))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 x.re x.im))) (neg.f64 (fma.f64 (/.f64 x.im x.re) (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal -2 binary64)) (.f64 (neg.f64 x.im) x.im)) x.re)) (neg.f64 (fma.f64 (/.f64 x.im x.re) x.im (neg.f64 x.im))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal -3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) x.re)) (neg.f64 (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal -2 binary64)) (.f64 x.im (-.f64 x.im (*.f64 (/.f64 x.im x.re) x.im))))))
(/.f64 (neg.f64 (.f64 (.f64 x.re x.im) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(/.f64 (neg.f64 (.f64 (.f64 x.re x.im) (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 x.im x.re) (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 x.re (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal -2 binary64)) (.f64 (neg.f64 x.im) x.im)))) (neg.f64 (fma.f64 (/.f64 x.im x.re) x.im (neg.f64 x.im))))
(/.f64 (neg.f64 (.f64 x.re (fma.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal -3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal -2 binary64)) (.f64 x.im (-.f64 x.im (*.f64 (/.f64 x.im x.re) x.im))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) (.f64 x.re x.im)) (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 x.re x.im)) (fma.f64 (/.f64 x.im x.re) (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal -2 binary64)) (.f64 (neg.f64 x.im) x.im)) x.re) (fma.f64 (/.f64 x.im x.re) x.im (neg.f64 x.im)))
(/.f64 (.f64 (fma.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal -3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) x.re) (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal -2 binary64)) (.f64 x.im (-.f64 x.im (*.f64 (/.f64 x.im x.re) x.im)))))
(/.f64 (.f64 (.f64 x.re x.im) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(/.f64 (.f64 (.f64 x.re x.im) (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 x.im x.re) (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x.re (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal -2 binary64)) (.f64 (neg.f64 x.im) x.im))) (fma.f64 (/.f64 x.im x.re) x.im (neg.f64 x.im)))
(/.f64 (.f64 x.re (fma.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal -3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal -2 binary64)) (.f64 x.im (-.f64 x.im (*.f64 (/.f64 x.im x.re) x.im)))))
(fma.f64 (.f64 (/.f64 x.im x.re) x.im) x.re (.f64 x.re x.im))
(fma.f64 (.f64 x.re x.im) (/.f64 x.im x.re) (.f64 (*.f64 x.re x.im) #s(literal 1 binary64)))
(fma.f64 (.f64 x.re x.im) #s(literal 1 binary64) (.f64 (*.f64 x.re x.im) (/.f64 x.im x.re)))
(fma.f64 (/.f64 x.im x.re) (.f64 x.re x.im) (.f64 #s(literal 1 binary64) (*.f64 x.re x.im)))
(fma.f64 x.re (.f64 (/.f64 x.im x.re) x.im) (.f64 x.re x.im))
(fma.f64 x.re x.im (.f64 (.f64 (/.f64 x.im x.re) x.im) x.re))
(fma.f64 x.re x.im (.f64 x.re (.f64 (/.f64 x.im x.re) x.im)))
(fma.f64 x.im x.re (.f64 (.f64 (/.f64 x.im x.re) x.im) x.re))
(fma.f64 x.im x.re (.f64 x.re (.f64 (/.f64 x.im x.re) x.im)))
(fma.f64 #s(literal 1 binary64) (.f64 x.re x.im) (.f64 (/.f64 x.im x.re) (*.f64 x.re x.im)))
(+.f64 (.f64 (/.f64 x.im x.re) (.f64 x.re x.im)) (.f64 #s(literal 1 binary64) (.f64 x.re x.im)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x.re x.im)) (.f64 (/.f64 x.im x.re) (.f64 x.re x.im)))
(+.f64 (.f64 (.f64 (/.f64 x.im x.re) x.im) x.re) (*.f64 x.re x.im))
(+.f64 (.f64 (.f64 x.re x.im) (/.f64 x.im x.re)) (.f64 (.f64 x.re x.im) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x.re x.im) #s(literal 1 binary64)) (.f64 (.f64 x.re x.im) (/.f64 x.im x.re)))
(+.f64 (.f64 x.re (.f64 (/.f64 x.im x.re) x.im)) (*.f64 x.re x.im))
(+.f64 (.f64 x.re x.im) (.f64 (*.f64 (/.f64 x.im x.re) x.im) x.re))
(+.f64 (.f64 x.re x.im) (.f64 x.re (*.f64 (/.f64 x.im x.re) x.im)))
(.f64 (pow.f64 (.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 x.re #s(literal 2 binary64)) x.im)
(*.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(.f64 #s(literal 8 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 8 binary64) (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (+.f64 x.im x.im) #s(literal 3 binary64)))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x.im #s(literal 3 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) (pow.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 8 binary64))
(.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x.re) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (+.f64 x.re x.re) #s(literal 3 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x.im) x.re)
(.f64 #s(literal 2 binary64) (.f64 x.re x.im))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re (+.f64 x.im x.im))
(.f64 x.re (.f64 #s(literal 2 binary64) x.im))
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(*.f64 x.im (+.f64 x.re x.re))
(pow.f64 (/.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 (pow.f64 (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(fma.f64 x.im x.re (*.f64 x.re x.im))
(-.f64 (/.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))
(+.f64 (.f64 x.re x.im) (.f64 x.re x.im))
(.f64 (-.f64 (pow.f64 (.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 (-.f64 x.re x.im) #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)))) (pow.f64 (.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 (-.f64 x.re x.im) #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) (-.f64 (pow.f64 (.f64 (-.f64 x.re x.im) #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (-.f64 x.re x.im) #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)))) (pow.f64 (.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))) #s(literal 2 binary64))) (fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (-.f64 x.re x.im) #s(approx ( x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 x.re x.im) #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 (-.f64 x.re x.im) #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (.f64 (-.f64 x.re x.im) #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)))) (pow.f64 (.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))) (.f64 (-.f64 (.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (-.f64 x.re x.im) #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) (-.f64 (.f64 (-.f64 x.re x.im) #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (fma.f64 (+.f64 x.re x.im) x.im (.f64 x.re x.re)) (.f64 #s(literal 0 binary64) (.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))))) (.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x.re x.im) x.im (*.f64 x.re x.re))))
(/.f64 (fma.f64 (.f64 #s(literal 0 binary64) x.re) (+.f64 x.re x.im) (.f64 #s(literal 0 binary64) (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re))))) (.f64 #s(literal 0 binary64) (+.f64 x.re x.im)))
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(.f64 (-.f64 x.re x.im) (.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(.f64 x.im (.f64 (-.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (.f64 (+.f64 x.re x.im) x.im))) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (.f64 (+.f64 x.re x.im) x.im))) (neg.f64 (fma.f64 (.f64 x.im x.im) (fma.f64 x.re x.re (.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) x.im))) (neg.f64 (fma.f64 (+.f64 x.re x.im) x.im (*.f64 x.re x.re))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) x.im))) (neg.f64 (+.f64 x.re x.im)))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))))) (neg.f64 (fma.f64 (.f64 x.im x.im) (fma.f64 x.re x.re (.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (.f64 (+.f64 x.re x.im) x.im)) (fma.f64 x.re x.re (*.f64 x.im x.im)))
(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (.f64 (+.f64 x.re x.im) x.im)) (fma.f64 (.f64 x.im x.im) (fma.f64 x.re x.re (.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) x.im)) (fma.f64 (+.f64 x.re x.im) x.im (*.f64 x.re x.re)))
(/.f64 (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) x.im)) (+.f64 x.re x.im))
(/.f64 (.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 x.re x.re (*.f64 x.im x.im)))
(/.f64 (.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 (.f64 x.im x.im) (fma.f64 x.re x.re (.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) x.im) (.f64 (.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) x.im)))
(fma.f64 (.f64 (+.f64 x.re x.im) x.im) (.f64 (-.f64 x.re x.im) x.re) (.f64 (.f64 (+.f64 x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.im)))
(fma.f64 (.f64 (+.f64 x.re x.im) x.im) (.f64 x.re x.re) (.f64 (.f64 (+.f64 x.re x.im) x.im) (*.f64 (neg.f64 x.im) x.im)))
(fma.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (.f64 x.im x.im) (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 x.re x.im)))
(fma.f64 (.f64 x.im x.im) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (.f64 (.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(fma.f64 (.f64 x.re x.re) (.f64 (+.f64 x.re x.im) x.im) (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 (+.f64 x.re x.im) x.im)))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) x.im)) (.f64 (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 x.re x.im) x.im)))
(+.f64 (.f64 (.f64 x.im x.im) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (.f64 (.f64 x.re x.im) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(+.f64 (.f64 (.f64 (+.f64 x.re x.im) x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (.f64 (+.f64 x.re x.im) x.im) (.f64 (-.f64 x.re x.im) x.im)))
(+.f64 (.f64 (.f64 (+.f64 x.re x.im) x.im) (.f64 x.re x.re)) (.f64 (.f64 (+.f64 x.re x.im) x.im) (.f64 (neg.f64 x.im) x.im)))
(+.f64 (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (.f64 x.im x.im)) (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (.f64 x.re x.im)))
(+.f64 (.f64 (.f64 x.re x.re) (.f64 (+.f64 x.re x.im) x.im)) (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (+.f64 x.re x.im) x.im)))
(.f64 (.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(.f64 (.f64 #s(literal 2 binary64) (+.f64 x.re x.im)) x.im)
(.f64 (.f64 (+.f64 x.re x.im) x.im) #s(literal 2 binary64))
(.f64 (+.f64 x.re x.im) (.f64 #s(literal 2 binary64) x.im))
(.f64 (.f64 #s(literal 2 binary64) x.im) (+.f64 x.re x.im))
(.f64 #s(literal 2 binary64) (.f64 (+.f64 x.re x.im) x.im))
(.f64 x.im (.f64 #s(literal 2 binary64) (+.f64 x.re x.im)))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im))) (neg.f64 (-.f64 x.im x.re)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) x.im))) (neg.f64 (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)))) (neg.f64 (-.f64 x.im x.re)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) x.im) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x.im) x.im) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (.f64 #s(literal 2 binary64) x.im) x.im))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x.im #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x.im) x.im) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (.f64 #s(literal 2 binary64) x.im) x.im))))))
(/.f64 (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im)) (-.f64 x.im x.re))
(/.f64 (.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) x.im)) (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x.im) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im)))
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 (+.f64 x.re x.im) x.im) #s(literal 2 binary64)) (-.f64 x.re x.im))) (neg.f64 (-.f64 x.re x.im)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x.im) x.im) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (.f64 #s(literal 2 binary64) x.im) x.im)))
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x.im) x.im) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (.f64 #s(literal 2 binary64) x.im) x.im)))))
(/.f64 (.f64 (.f64 (*.f64 (+.f64 x.re x.im) x.im) #s(literal 2 binary64)) (-.f64 x.re x.im)) (-.f64 x.re x.im))
(fma.f64 (pow.f64 (.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)) (.f64 (*.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (.f64 (*.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 (.f64 x.re #s(literal 2 binary64)) x.im (.f64 (*.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) (.f64 (*.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 (.f64 #s(literal 8 binary64) (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 x.re #s(literal 3 binary64)) (.f64 (*.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (+.f64 x.im x.im) #s(literal 3 binary64)) (.f64 (.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 (*.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) (pow.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (.f64 (*.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 8 binary64) (.f64 (*.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x.re) #s(literal 3 binary64)) (.f64 (*.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (+.f64 x.re x.re) #s(literal 3 binary64)) (.f64 (.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) (.f64 (.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 #s(literal 0 binary64) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 (.f64 #s(literal 2 binary64) x.im) x.re (.f64 (*.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 (*.f64 #s(literal 2 binary64) x.im) x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x.im x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 x.re x.im) (.f64 (*.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 (*.f64 x.im x.im) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 (.f64 x.re x.im) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 x.re (+.f64 x.im x.im) (.f64 (.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 x.re (.f64 #s(literal 2 binary64) x.im) (.f64 (*.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 x.im (.f64 #s(literal 2 binary64) x.re) (.f64 (*.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 x.im (+.f64 x.re x.re) (.f64 (.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 x.im (*.f64 #s(literal 2 binary64) x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) x.im) x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (.f64 #s(literal 2 binary64) x.im) x.im))

eval143.0ms (1.9%)

Memory: 26.8MiB live, 340.9MiB allocated
Compiler: Compiled 40 688 to 3 951 computations (90.3% saved)

prune32.0ms (0.4%)

Memory

-22.1MiB live, 101.2MiB allocated

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	1 062	7	1 069
Fresh	0	4	4
Picked	4	1	5
Done	0	6	6
Total	1 066	18	1 084

Accuracy

100.0%

Counts

1 084 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.2%	(fma.f64 (/.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (+.f64 x.re x.im)) #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im))
	37.8%	(fma.f64 #s(approx (- x.re x.im) (neg.f64 x.im)) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im))
	77.0%	(fma.f64 x.im (+.f64 x.re x.re) (.f64 #s(approx ( x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (-.f64 x.re x.im)))
	29.5%	(/.f64 (+.f64 (+.f64 x.re x.im) (.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) x.im)))) #s(approx ( (* 2 x.im) (+ x.re x.im)) (.f64 (.f64 #s(literal 2 binary64) x.im) x.im)))
	40.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(approx (- x.re x.im) (neg.f64 x.im)) x.im) (+.f64 x.re x.im) (.f64 #s(literal 2 binary64) x.im))))
✓	90.8%	(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
	89.7%	(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (.f64 x.re x.im))) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
	2.5%	#s(approx (/ (+ (+ x.re x.im) (* (* 2 x.im) (* (* (- x.re x.im) (+ x.re x.im)) (* (+ x.re x.im) x.im)))) (* (* 2 x.im) (+ x.re x.im))) (/.f64 #s(literal 1/2 binary64) x.im))
✓	50.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))
	56.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
✓	50.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
✓	56.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.im) (*.f64 #s(literal 3 binary64) x.re)))
	70.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re))) (.f64 x.re x.re)))
✓	90.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
✓	61.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (neg (+ ( x.im x.im) (* -3 (* x.re x.re)))) (*.f64 (neg.f64 x.im) x.im)) x.im))
✓	56.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
	61.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
	23.6%	#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))

Compiler

Compiled 1 248 to 429 computations (65.6% saved)

regimes24.0ms (0.3%)

Memory

18.4MiB live, 57.7MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (/ (+ (+ x.re x.im) (* (* 2 x.im) (* (* (- x.re x.im) (+ x.re x.im)) (* (+ x.re x.im) x.im)))) (* (* 2 x.im) (+ x.re x.im))) (/.f64 #s(literal 1/2 binary64) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (neg (+ ( x.im x.im) (* -3 (* x.re x.re)))) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.im) (*.f64 #s(literal 3 binary64) x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
(fma.f64 #s(approx (- x.re x.im) (neg.f64 x.im)) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im))
(fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im))
(+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(fma.f64 x.im (+.f64 x.re x.re) (.f64 #s(approx ( x.im (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (-.f64 x.re x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(approx (- x.re x.im) (neg.f64 x.im)) x.im) (+.f64 x.re x.im) (.f64 #s(literal 2 binary64) x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.re x.im) (.f64 #s(literal 2 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (.f64 x.im x.im) x.re) x.re))) (.f64 x.re x.re)))
(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (.f64 x.re x.im))) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(+.f64 (.f64 #s(approx ( x.im (+ x.im x.re)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (.f64 x.re x.im))) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (/.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (+.f64 x.re x.im)) #s(approx ( x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im))
(/.f64 (+.f64 (+.f64 x.re x.im) (.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) x.im)))) #s(approx ( (* 2 x.im) (+ x.re x.im)) (.f64 (.f64 #s(literal 2 binary64) x.im) x.im)))
(/.f64 (+.f64 (+.f64 x.re x.im) (.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) x.im)))) (.f64 (*.f64 #s(literal 2 binary64) x.im) (+.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (neg.f64 x.im) x.im))) (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Outputs

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

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

Calls

3 calls:

8.0ms	x.re
8.0ms	x.im
7.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
96.7%	2	`x.re`
99.8%	2	`x.im`
99.8%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes11.0ms (0.1%)

Memory

-16.2MiB live, 25.7MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (*.f64 (neg.f64 x.im) x.im)) x.im))

Calls

2 calls:

5.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
5.0ms	x.im

Results

Accuracy	Segments	Branch
96.7%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
98.6%	3	`x.im`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes5.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (*.f64 (neg.f64 x.im) x.im)) x.im))

Calls

1 calls:

4.0ms

x.im

Results

Accuracy	Segments	Branch
98.3%	3	`x.im`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.1%)

Memory

-2.4MiB live, 37.1MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (*.f64 (neg.f64 x.im) x.im)) x.im))

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

#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (*.f64 (neg.f64 x.im) x.im)) x.im))

Calls

3 calls:

4.0ms	x.re
3.0ms	x.im
3.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
95.2%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
87.5%	2	`x.re`
80.5%	2	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes5.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

#s(approx (/ (+ (+ x.re x.im) (* (* 2 x.im) (* (* (- x.re x.im) (+ x.re x.im)) (* (+ x.re x.im) x.im)))) (* (* 2 x.im) (+ x.re x.im))) (/.f64 #s(literal 1/2 binary64) x.im))

#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (*.f64 (neg.f64 x.im) x.im)) x.im))

Outputs

#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (*.f64 (neg.f64 x.im) x.im)) x.im))

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

Calls

3 calls:

2.0ms	x.im
2.0ms	x.re
1.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
61.0%	1	`x.im`
77.3%	2	`x.re`
78.2%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes5.0ms (0.1%)

Memory

-27.1MiB live, 12.6MiB allocated

Accuracy

Total -13.7b remaining (-28.1%)

Threshold costs -13.7b (-28.1%)

Counts

2 → 1

Calls

Call 1

Inputs

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

#s(approx (/ (+ (+ x.re x.im) (* (* 2 x.im) (* (* (- x.re x.im) (+ x.re x.im)) (* (+ x.re x.im) x.im)))) (* (* 2 x.im) (+ x.re x.im))) (/.f64 #s(literal 1/2 binary64) x.im))

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

Calls

3 calls:

2.0ms	x.re
1.0ms	x.im
1.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
23.6%	1	`x.im`
23.6%	1	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
23.6%	1	`x.re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch17.0ms (0.2%)

Memory

-4.7MiB live, 34.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.326457460615399e+99	1.5687257275197936e+102

Samples

10.0ms

128×

valid

Compiler

Compiled 326 to 208 computations (36.2% saved)

Precisions

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

ival-mult: 5.0ms (71.9% of total)

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

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

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

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

bsearch24.0ms (0.3%)

Memory

0.1MiB live, 47.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	7.475816954104059e+206	3.7801759828551066e+207
8.0ms	5.269258063525357e-59	1.4469387156920697e-58

Samples

12.0ms

176×

valid

Compiler

Compiled 670 to 406 computations (39.4% saved)

Precisions

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

ival-mult: 6.0ms (73.7% of total)

ival-sub: 1.0ms (12.3% of total)

ival-add: 1.0ms (12.3% of total)

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

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

bsearch14.0ms (0.2%)

Memory

-11.6MiB live, 27.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	7.475816954104059e+206	3.7801759828551066e+207
10.0ms	3.032179037580561e-118	3.0411779785950854e-117

Samples

6.0ms

96×

valid

Compiler

Compiled 778 to 472 computations (39.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (68.8% of total)

ival-add: 1.0ms (22.9% of total)

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

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

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

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.2153066190411634e-293	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch13.0ms (0.2%)

Memory

26.8MiB live, 26.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.0353991884394287e+138	8.589338406336808e+139

Samples

7.0ms

112×

valid

Compiler

Compiled 421 to 261 computations (38% saved)

Precisions

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

ival-mult: 4.0ms (77.7% of total)

ival-add: 1.0ms (19.4% of total)

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

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

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

simplify84.0ms (1.1%)

Memory

4.3MiB live, 81.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	428
1	130	412
2	226	408
3	527	376
4	1220	376
5	3276	376
6	7147	376

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x.im #s(literal 1549999999999999933344043285518606639381215706706130003222984336000357510851225806697586443163006926848 binary64)) (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im)))
(if (<=.f64 x.im #s(literal 6219301668019913/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (if (<=.f64 x.im #s(literal 1649999999999999992886268308949040620388858274303781268559293877368157440474967704414644944894397908735998918313101897766041228000843105537780291787659718793150337552673582877047929733947183267573907717095424 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re)))) x.im)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (neg (+ ( x.im x.im) (* -3 (* x.re x.re)))) (*.f64 (neg.f64 x.im) x.im)) x.im))))
(if (<=.f64 x.im #s(literal 8517641300339143/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)))) (if (<=.f64 x.im #s(literal 1649999999999999992886268308949040620388858274303781268559293877368157440474967704414644944894397908735998918313101897766041228000843105537780291787659718793150337552673582877047929733947183267573907717095424 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re)))) x.im)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (neg (+ ( x.im x.im) (* -3 (* x.re x.re)))) (*.f64 (neg.f64 x.im) x.im)) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -449423283715579/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (neg (+ ( x.im x.im) (* -3 (* x.re x.re)))) (.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (neg (+ ( x.im x.im) (* -3 (* x.re x.re)))) (*.f64 (neg.f64 x.im) x.im)) x.im))))
(if (<=.f64 x.re #s(literal 11200000000000000367825499879095172084654540743227650989737910374097966477266425550092814735030547022060234453584411278480863095103168708608 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (neg (+ ( x.im x.im) (* -3 (* x.re x.re)))) (.f64 (neg.f64 x.im) x.im)) x.im)) #s(approx (+ ( (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)))
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))

Outputs
(if (<=.f64 x.im #s(literal 1549999999999999933344043285518606639381215706706130003222984336000357510851225806697586443163006926848 binary64)) (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (fma.f64 (-.f64 x.re x.im) #s(approx (* x.im (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)) (.f64 #s(literal 2 binary64) x.im)))
(if (<=.f64 x.im #s(literal 6219301668019913/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (+.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (if (<=.f64 x.im #s(literal 1649999999999999992886268308949040620388858274303781268559293877368157440474967704414644944894397908735998918313101897766041228000843105537780291787659718793150337552673582877047929733947183267573907717095424 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re)))) x.im)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (neg (+ ( x.im x.im) (* -3 (* x.re x.re)))) (*.f64 (neg.f64 x.im) x.im)) x.im))))
(if (<=.f64 x.im #s(literal 8517641300339143/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)))) (if (<=.f64 x.im #s(literal 1649999999999999992886268308949040620388858274303781268559293877368157440474967704414644944894397908735998918313101897766041228000843105537780291787659718793150337552673582877047929733947183267573907717095424 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re)))) x.im)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (neg (+ ( x.im x.im) (* -3 (* x.re x.re)))) (*.f64 (neg.f64 x.im) x.im)) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -449423283715579/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (neg (+ ( x.im x.im) (* -3 (* x.re x.re)))) (.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (neg (+ ( x.im x.im) (* -3 (* x.re x.re)))) (*.f64 (neg.f64 x.im) x.im)) x.im))))
(if (or (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -449423283715579/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (not (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (neg (+ ( x.im x.im) (* -3 (* x.re x.re)))) (.f64 (neg.f64 x.im) x.im)) x.im)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))))
(if (<=.f64 x.re #s(literal 11200000000000000367825499879095172084654540743227650989737910374097966477266425550092814735030547022060234453584411278480863095103168708608 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (neg (+ ( x.im x.im) (* -3 (* x.re x.re)))) (.f64 (neg.f64 x.im) x.im)) x.im)) #s(approx (+ ( (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)))
#s(approx (+ (* (- x.re x.im) (* x.im (+ x.im x.re))) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))

soundness801.0ms (10.9%)

Memory

-20.5MiB live, 659.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	881	3900
1	3106	2913
0	9428	2755
0	57	198
1	182	192
2	585	192
3	2569	192
4	7315	192
0	8104	187
0	47	265
0	71	255
1	252	220
2	1492	220
0	8450	215
0	179	865
1	617	688
2	2076	604
3	7089	604
0	8043	586
0	11	51
0	20	51
1	79	39
0	540	38
0	37	247
0	56	247
1	204	219
0	1288	214

Stop Event

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

Compiler

Compiled 1 001 to 355 computations (64.5% saved)

preprocess99.0ms (1.4%)

Memory: 31.4MiB live, 145.5MiB allocated
Compiler: Compiled 1 096 to 306 computations (72.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (17%)

explain239.0ms (3.3%)

preprocess410.0ms (5.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify315.0ms (4.3%)

localize78.0ms (1.1%)

series13.0ms (0.2%)

simplify208.0ms (2.8%)

rewrite131.0ms (1.8%)

eval8.0ms (0.1%)

prune5.0ms (0.1%)

simplify262.0ms (3.6%)

localize215.0ms (2.9%)

series74.0ms (1%)

simplify161.0ms (2.2%)

rewrite59.0ms (0.8%)

eval85.0ms (1.2%)

prune13.0ms (0.2%)

simplify259.0ms (3.5%)

localize175.0ms (2.4%)

series62.0ms (0.8%)

simplify235.0ms (3.2%)

rewrite513.0ms (7%)

eval188.0ms (2.6%)

prune116.0ms (1.6%)

simplify382.0ms (5.2%)

localize210.0ms (2.9%)

series52.0ms (0.7%)

simplify156.0ms (2.1%)

rewrite177.0ms (2.4%)

eval143.0ms (1.9%)

prune32.0ms (0.4%)

regimes24.0ms (0.3%)

regimes11.0ms (0.1%)

regimes5.0ms (0.1%)

regimes11.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch17.0ms (0.2%)

bsearch24.0ms (0.3%)

bsearch14.0ms (0.2%)

bsearch1.0ms (0%)

bsearch13.0ms (0.2%)

simplify84.0ms (1.1%)

soundness801.0ms (10.9%)

preprocess99.0ms (1.4%)

end0.0ms (0%)

Profiling