Metrics for math.cube on complex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample1.8s (23.1%)

Memory

13.0MiB live, 868.2MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 737.0ms

ival-mult: 536.0ms (72.7% of total)

ival-add: 97.0ms (13.2% of total)

ival-sub: 95.0ms (12.9% of total)

ival-true: 6.0ms (0.8% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain338.0ms (4.3%)

Memory

-23.1MiB live, 159.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
28	-	-	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
23	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
14	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
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.im)`
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.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`	nan-rescue	28	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	120
↳	`(*.f64 x.re x.re)`	overflow	71
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	117
↳	`(*.f64 x.im x.im)`	overflow	69
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	71
↳	`(*.f64 x.im x.re)`	overflow	34
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	35
↳	`(*.f64 x.re x.im)`	overflow	34
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	23	0
↳	`(*.f64 x.re x.re)`	overflow	71
↳	`(*.f64 x.im x.im)`	overflow	69
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	14	0

Confusion

	Predicted +	Predicted -
+	53	0
-	0	203

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	53	0	0
-	0	0	203

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	203
1	41
2	12

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

100.0ms

512×

valid

Compiler

Compiled 283 to 59 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 19.0ms (71.6% of total)

ival-sub: 4.0ms (15.1% of total)

ival-add: 2.0ms (7.5% of total)

ival-true: 1.0ms (3.8% of total)

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

preprocess380.0ms (4.8%)

Memory

18.9MiB live, 245.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	107
1	106	89
2	308	85
3	1267	55
4	3190	55
5	5166	55
6	6218	55
7	6536	55
8	6791	55
9	6886	55
10	6903	55
11	7825	55
0	11	19
0	20	19
1	38	17
2	80	17
3	236	11
4	666	11
5	2137	11
6	4288	11
7	6316	11
8	7399	11
9	7722	11
10	7761	11
11	7761	11
0	8052	10

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

Outputs

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

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

Symmetry

(abs x.im)

(negabs x.re)

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

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.5%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify299.0ms (3.8%)

Memory

-3.3MiB live, 193.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
cost-diff	128	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	65
0	20	65
1	38	59
2	80	59
3	236	53
4	666	53
5	2137	53
6	4288	53
7	6316	53
8	7399	53
9	7722	53
10	7761	53
11	7761	53
0	8052	52

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

localize45.0ms (0.6%)

Memory

4.7MiB live, 44.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1640625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	3.3509012189225587	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy	5.140602294132265	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	5.671875000000001	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Samples

20.0ms

256×

valid

Compiler

Compiled 132 to 24 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 9.0ms (72.1% of total)

ival-sub: 2.0ms (16% of total)

ival-add: 1.0ms (8% of total)

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

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

series11.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

6 → 22

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x.re	@	inf	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.re	@	0	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.re	@	-inf	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms	x.im	@	0	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms	x.im	@	inf	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify250.0ms (3.2%)

Memory

-2.1MiB live, 171.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	190
1	169	170
2	519	170
3	2113	170
4	5800	170
0	8265	165

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

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

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

rewrite60.0ms (0.8%)

Memory

-9.3MiB live, 69.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	54
0	20	54
1	83	42
0	572	41

Stop Event

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

Counts

6 → 96

Calls

Call 1

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

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

eval12.0ms (0.2%)

Memory: 0.4MiB live, 37.2MiB allocated
Compiler: Compiled 2 642 to 356 computations (86.5% saved)

prune5.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	100	6	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	6	107

Accuracy

95.3%

Counts

107 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.2%	(-.f64 (/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	88.8%	(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	60.8%	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	56.8%	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	85.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
▶	51.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))

Compiler

Compiled 302 to 176 computations (41.7% saved)

simplify237.0ms (3%)

Memory

-35.4MiB live, 247.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x.re #s(literal 3 binary64))
cost-diff	0	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
cost-diff	128	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	0	(.f64 (.f64 (neg.f64 x.im) x.re) x.im)
cost-diff	0	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
cost-diff	128	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re))
cost-diff	0	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	(.f64 (.f64 x.im x.im) x.re)
cost-diff	0	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))
cost-diff	0	(+.f64 x.im x.re)
cost-diff	0	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	832	(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	307
0	58	316
1	106	292
2	190	292
3	453	264
4	1345	264
5	3466	264
6	5808	264
7	7433	264
8	7944	264
0	8152	262

Stop Event

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

Calls

Call 1

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

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

localize113.0ms (1.4%)

Memory

16.5MiB live, 135.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x.im x.re)
accuracy	0.1640625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	5.671875000000001	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy	28.87050914055652	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
accuracy	0.1640625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	0.1640625	(.f64 (.f64 (neg.f64 x.im) x.re) x.im)
accuracy	5.671875000000001	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy	27.501268097410083	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
accuracy	0	(*.f64 x.im x.im)
accuracy	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
accuracy	3.3572787292969277	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
accuracy	5.230446044132265	(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re))
accuracy	0	(*.f64 x.im x.im)
accuracy	0.1328125	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
accuracy	6.482346521396532	(.f64 (.f64 x.im x.im) x.re)
accuracy	27.497593576260005	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))
accuracy	0.01171875	(*.f64 (-.f64 x.re x.im) x.re)
accuracy	0.125	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re))
accuracy	0.1640625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	5.671875000000001	(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

Samples

85.0ms

256×

valid

Compiler

Compiled 577 to 67 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 54.0ms (80.7% of total)

ival-sub: 4.0ms (6% of total)

ival-add: 4.0ms (6% of total)

ival-pow: 3.0ms (4.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.3%)

Memory

-3.4MiB live, 35.1MiB allocated

Counts

20 → 64

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x.im	@	0	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (- x.re x.im) x.re) (* x.im x.re))
4.0ms	x.re	@	0	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (- x.re x.im) x.re) (* x.im x.re))
4.0ms	x.re	@	-inf	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (- x.re x.im) x.re) (* x.im x.re))
3.0ms	x.re	@	inf	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (- x.re x.im) x.re) (* x.im x.re))
3.0ms	x.im	@	inf	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (- x.re x.im) x.re) (* x.im x.re))

simplify176.0ms (2.2%)

Memory

11.2MiB live, 171.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	688
1	605	511
2	1884	457
3	6277	457
0	8693	438

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 62

Calls

Call 1

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

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

rewrite64.0ms (0.8%)

Memory

-1.1MiB live, 75.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	232
0	58	232
1	215	204
0	1302	199

Stop Event

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

Counts

20 → 235

Calls

Call 1

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

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

eval38.0ms (0.5%)

Memory: 1.4MiB live, 81.7MiB allocated
Compiler: Compiled 10 302 to 851 computations (91.7% saved)

prune14.0ms (0.2%)

Memory

-3.1MiB live, 35.2MiB allocated

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	347	8	355
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	351	10	361

Accuracy

100.0%

Counts

361 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.2%	(-.f64 (/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.re x.re (.f64 x.im x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	88.8%	(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
▶	51.9%	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) #s(approx (* (+ (* x.re x.im) (* x.im x.re)) x.im) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64))))
✓	85.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
	51.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
▶	56.9%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im)))
▶	54.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
	56.9%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -3 binary64))))
✓	51.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))
	54.9%	#s(approx (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))

Compiler

Compiled 489 to 283 computations (42.1% saved)

simplify148.0ms (1.9%)

Memory

-7.2MiB live, 189.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
cost-diff	0	(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.re x.re (.f64 x.im x.im)))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	448	(-.f64 (/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.re x.re (.f64 x.im x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
cost-diff	0	(*.f64 (neg.f64 x.im) x.re)
cost-diff	0	(.f64 (.f64 (neg.f64 x.im) x.re) x.im)
cost-diff	0	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
cost-diff	0	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) #s(approx (* (+ (* x.re x.im) (* x.im x.re)) x.im) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64))))
cost-diff	0	(*.f64 x.re x.im)
cost-diff	0	(*.f64 #s(literal -3 binary64) x.im)
cost-diff	0	(.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im)))
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re))
cost-diff	0	(.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
cost-diff	0	(*.f64 (-.f64 x.re x.im) x.re)
cost-diff	0	(+.f64 x.im x.re)
cost-diff	0	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re))
cost-diff	832	(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	359
0	82	345
1	154	339
2	280	337
3	657	325
4	1681	325
5	4153	325
6	6642	325
0	8011	318

Stop Event

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

Calls

Call 1

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

localize156.0ms (2%)

Memory

9.7MiB live, 217.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.6439508751394296	(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
accuracy	5.671875000000001	(-.f64 (/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.re x.re (.f64 x.im x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy	8.031223165792676	(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
accuracy	36.70303750725267	(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.re x.re (.f64 x.im x.im)))
accuracy	0.1640625	(.f64 (.f64 (neg.f64 x.im) x.re) x.im)
accuracy	5.671875000000001	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) #s(approx (* (+ (* x.re x.im) (* x.im x.re)) x.im) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64))))
accuracy	6.482346521396532	(.f64 (.f64 x.im x.im) x.re)
accuracy	27.501268097410083	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
accuracy	0	(*.f64 x.re x.im)
accuracy	0	(*.f64 #s(literal -3 binary64) x.im)
accuracy	0.174160009768442	(.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im))
accuracy	27.497593576260005	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im)))
accuracy	0	(*.f64 x.re x.re)
accuracy	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
accuracy	3.3572787292969277	(.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)
accuracy	32.73042089313894	#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re))
accuracy	0.01171875	(*.f64 (-.f64 x.re x.im) x.re)
accuracy	0.125	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re))
accuracy	0.1640625	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy	5.671875000000001	(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))

Samples

124.0ms

256×

valid

Compiler

Compiled 661 to 93 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 26.0ms (42.6% of total)

ival-sub: 16.0ms (26.2% of total)

ival-pow: 7.0ms (11.5% of total)

ival-add: 6.0ms (9.8% of total)

ival-neg: 4.0ms (6.5% of total)

ival-div: 2.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series45.0ms (0.6%)

Memory

-20.0MiB live, 55.7MiB allocated

Counts

23 → 79

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	x.im	@	-inf	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 x.im) (* x.re x.im)) (* -3 x.im) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (* (neg x.im) x.re) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.re x.re) (* x.im x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.re x.re) (* x.im x.im))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (* x.re (+ x.im x.im)) x.im) (* (* x.im x.im) x.re) (- (pow x.re 4) (pow x.im 4)))
7.0ms	x.re	@	inf	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 x.im) (* x.re x.im)) (* -3 x.im) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (* (neg x.im) x.re) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.re x.re) (* x.im x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.re x.re) (* x.im x.im))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (* x.re (+ x.im x.im)) x.im) (* (* x.im x.im) x.re) (- (pow x.re 4) (pow x.im 4)))
5.0ms	x.re	@	0	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 x.im) (* x.re x.im)) (* -3 x.im) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (* (neg x.im) x.re) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.re x.re) (* x.im x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.re x.re) (* x.im x.im))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (* x.re (+ x.im x.im)) x.im) (* (* x.im x.im) x.re) (- (pow x.re 4) (pow x.im 4)))
4.0ms	x.re	@	-inf	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 x.im) (* x.re x.im)) (* -3 x.im) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (* (neg x.im) x.re) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.re x.re) (* x.im x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.re x.re) (* x.im x.im))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (* x.re (+ x.im x.im)) x.im) (* (* x.im x.im) x.re) (- (pow x.re 4) (pow x.im 4)))
3.0ms	x.im	@	inf	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 x.im) (* x.re x.im)) (* -3 x.im) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (* (neg x.im) x.re) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.re x.re) (* x.im x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.re x.re) (* x.im x.im))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (* x.re (+ x.im x.im)) x.im) (* (* x.im x.im) x.re) (- (pow x.re 4) (pow x.im 4)))

simplify133.0ms (1.7%)

Memory

12.2MiB live, 164.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	1046
1	724	812
2	2188	704
3	7145	704
0	8033	681

Stop Event

1×	iter limit
1×	node limit

Counts

79 → 77

Calls

Call 1

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

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

rewrite316.0ms (4%)

Memory

22.7MiB live, 545.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	277
0	82	255
1	311	223
2	1909	223
0	8264	216

Stop Event

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

Counts

23 → 2 406

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (fma.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) x.im)) (pow.f64 (+.f64 (pow.f64 (fma.f64 (.f64 x.re (+.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 #s(literal 2 binary64) x.im))) #s(literal -1 binary64)))
(.f64 x.re (-.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)))
(.f64 x.re (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) (.f64 #s(literal 2 binary64) x.im)))
(pow.f64 (/.f64 (fma.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (.f64 #s(literal 2 binary64) x.im)) (pow.f64 (fma.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 x.re (+.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 #s(literal 2 binary64) x.im))) (-.f64 (pow.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) x.im))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (fma.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (.f64 #s(literal 2 binary64) x.im))) (.f64 (fma.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (.f64 #s(literal 2 binary64) x.im)) (.f64 #s(literal 4 binary64) (pow.f64 x.im #s(literal 4 binary64))))) (pow.f64 (fma.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (.f64 x.re (+.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 #s(literal 2 binary64) x.im)))) (.f64 (+.f64 (pow.f64 (fma.f64 (.f64 x.re (+.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 #s(literal 2 binary64) x.im))) (.f64 #s(literal 2 binary64) x.im))) (.f64 (+.f64 (pow.f64 (fma.f64 (.f64 x.re (+.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 #s(literal 2 binary64) x.im))) (+.f64 (pow.f64 (fma.f64 (.f64 x.re (+.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 #s(literal 2 binary64) x.im)))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) #s(literal 0 binary64)) (.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 #s(literal 0 binary64) x.re))) (.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))) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) (.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 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re))) (.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))) (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) (.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 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.im))) (.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))) (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))) (.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 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.im))) (.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 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) (.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 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))))) (.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))) (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))) (.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 x.im (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)))))) (.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 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) #s(literal 0 binary64)) (.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 #s(literal 0 binary64) x.im))) (.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))) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64)))) (.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))) (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))))) (.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))) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))))) (.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))) (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)))))) (.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))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))))))
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(-.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(+.f64 (neg.f64 (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
(+.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))

eval184.0ms (2.3%)

Memory: 16.6MiB live, 283.8MiB allocated
Compiler: Compiled 57 166 to 3 764 computations (93.4% saved)

prune38.0ms (0.5%)

Memory

-40.5MiB live, 96.6MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1 315	4	1 319
Fresh	1	2	3
Picked	2	3	5
Done	0	2	2
Total	1 318	11	1 329

Accuracy

100.0%

Counts

1 329 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.6%	(fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im))
▶	26.7%	(/.f64 (fma.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (.f64 #s(literal 2 binary64) x.im) (.f64 (-.f64 x.im x.re) #s(literal 1 binary64))) (.f64 (-.f64 x.im x.re) (*.f64 #s(literal 2 binary64) x.im)))
	20.7%	(-.f64 (/.f64 (.f64 #s(approx (- (pow x.re 4) (pow x.im 4)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (fma.f64 x.re x.re (.f64 x.im x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓	51.9%	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) #s(approx (* (+ (* x.re x.im) (* x.im x.re)) x.im) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64))))
✓	85.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
▶	51.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
▶	56.9%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
✓	56.9%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im)))
✓	54.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
✓	51.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))
▶	54.9%	#s(approx (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))

Compiler

Compiled 453 to 263 computations (41.9% saved)

simplify153.0ms (1.9%)

Memory

-1.1MiB live, 192.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x.re #s(literal 3 binary64))
cost-diff	0	#s(approx (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
cost-diff	0	(.f64 (.f64 (-.f64 x.re x.im) x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)))
cost-diff	192	(fma.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (.f64 #s(literal 2 binary64) x.im) (*.f64 (-.f64 x.im x.re) #s(literal 1 binary64)))
cost-diff	320	(*.f64 (-.f64 x.im x.re) #s(literal 1 binary64))
cost-diff	704	(/.f64 (fma.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (.f64 #s(literal 2 binary64) x.im) (.f64 (-.f64 x.im x.re) #s(literal 1 binary64))) (.f64 (-.f64 x.im x.re) (*.f64 #s(literal 2 binary64) x.im)))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
cost-diff	0	(.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
cost-diff	0	(*.f64 #s(literal -3 binary64) x.im)
cost-diff	0	(.f64 (.f64 #s(literal -3 binary64) x.im) x.re)
cost-diff	0	(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
cost-diff	0	(*.f64 #s(literal 2 binary64) x.im)
cost-diff	0	(+.f64 x.re x.im)
cost-diff	0	(*.f64 x.re (+.f64 x.re x.im))
cost-diff	0	(-.f64 x.re x.im)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	252
0	65	246
1	135	240
2	349	238
3	1832	220
4	4760	214
0	8094	207

Stop Event

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

Calls

Call 1

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

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

localize114.0ms (1.4%)

Memory

5.0MiB live, 207.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 x.re #s(literal 3 binary64))
accuracy	28.88425978324186	#s(approx (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
accuracy	0.01171875	(*.f64 (-.f64 x.re x.im) x.re)
accuracy	0.5266059549247376	(.f64 (.f64 (-.f64 x.re x.im) x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)))
accuracy	2.3920717460232797	(fma.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (.f64 #s(literal 2 binary64) x.im) (*.f64 (-.f64 x.im x.re) #s(literal 1 binary64)))
accuracy	25.667537501797078	(/.f64 (fma.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (.f64 #s(literal 2 binary64) x.im) (.f64 (-.f64 x.im x.re) #s(literal 1 binary64))) (.f64 (-.f64 x.im x.re) (*.f64 #s(literal 2 binary64) x.im)))
accuracy	0	(*.f64 x.im x.im)
accuracy	0.16796875	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
accuracy	6.44155312421885	(.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
accuracy	27.497593576260005	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
accuracy	0	(*.f64 #s(literal -3 binary64) x.im)
accuracy	0.1328125	(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)
accuracy	0.14453125	(.f64 (.f64 #s(literal -3 binary64) x.im) x.re)
accuracy	27.497593576260005	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
accuracy	0	(+.f64 x.re x.im)
accuracy	0	(*.f64 #s(literal 2 binary64) x.im)
accuracy	0.0078125	(*.f64 x.re (+.f64 x.re x.im))
accuracy	0.0546875	(fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im))

Samples

89.0ms

256×

valid

Compiler

Compiled 489 to 84 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 48.0ms (73.4% of total)

ival-sub: 6.0ms (9.2% of total)

ival-add: 6.0ms (9.2% of total)

ival-pow: 3.0ms (4.6% of total)

ival-div: 2.0ms (3.1% of total)

exact: 1.0ms (1.5% of total)

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

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

series29.0ms (0.4%)

Memory

25.8MiB live, 67.3MiB allocated

Counts

20 → 133

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x.re	@	-inf	((- x.re x.im) (* x.re (+ x.re x.im)) (+ x.re x.im) (* 2 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (* x.im x.im) (/ (+ (* (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* 2 x.im)) (* (- x.im x.re) 1)) (* (- x.im x.re) (* 2 x.im))) (* (- x.im x.re) 1) (+ (* (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* 2 x.im)) (* (- x.im x.re) 1)) (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (+ (* (- x.re x.im) (* x.re (+ x.re x.im))) (* 2 x.im)) (* (- x.re x.im) x.re))
4.0ms	x.im	@	inf	((- x.re x.im) (* x.re (+ x.re x.im)) (+ x.re x.im) (* 2 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (* x.im x.im) (/ (+ (* (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* 2 x.im)) (* (- x.im x.re) 1)) (* (- x.im x.re) (* 2 x.im))) (* (- x.im x.re) 1) (+ (* (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* 2 x.im)) (* (- x.im x.re) 1)) (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (+ (* (- x.re x.im) (* x.re (+ x.re x.im))) (* 2 x.im)) (* (- x.re x.im) x.re))
4.0ms	x.im	@	-inf	((- x.re x.im) (* x.re (+ x.re x.im)) (+ x.re x.im) (* 2 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (* x.im x.im) (/ (+ (* (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* 2 x.im)) (* (- x.im x.re) 1)) (* (- x.im x.re) (* 2 x.im))) (* (- x.im x.re) 1) (+ (* (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* 2 x.im)) (* (- x.im x.re) 1)) (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (+ (* (- x.re x.im) (* x.re (+ x.re x.im))) (* 2 x.im)) (* (- x.re x.im) x.re))
4.0ms	x.re	@	inf	((- x.re x.im) (* x.re (+ x.re x.im)) (+ x.re x.im) (* 2 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (* x.im x.im) (/ (+ (* (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* 2 x.im)) (* (- x.im x.re) 1)) (* (- x.im x.re) (* 2 x.im))) (* (- x.im x.re) 1) (+ (* (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* 2 x.im)) (* (- x.im x.re) 1)) (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (+ (* (- x.re x.im) (* x.re (+ x.re x.im))) (* 2 x.im)) (* (- x.re x.im) x.re))
4.0ms	x.im	@	0	((- x.re x.im) (* x.re (+ x.re x.im)) (+ x.re x.im) (* 2 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (* x.im x.im) (/ (+ (* (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* 2 x.im)) (* (- x.im x.re) 1)) (* (- x.im x.re) (* 2 x.im))) (* (- x.im x.re) 1) (+ (* (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* 2 x.im)) (* (- x.im x.re) 1)) (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (+ (* (- x.re x.im) (* x.re (+ x.re x.im))) (* 2 x.im)) (* (- x.re x.im) x.re))

simplify200.0ms (2.5%)

Memory

-18.8MiB live, 303.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	633	2536
1	2178	1872
0	8540	1767

Stop Event

1×	iter limit
1×	node limit

Counts

133 → 131

Calls

Call 1

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

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

rewrite171.0ms (2.2%)

Memory

23.0MiB live, 255.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	211
0	65	205
1	264	193
2	1833	193
0	8170	190

Stop Event

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

Counts

20 → 556

Calls

Call 1

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

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

eval130.0ms (1.6%)

Memory: -1.4MiB live, 187.9MiB allocated
Compiler: Compiled 30 711 to 2 903 computations (90.5% saved)

prune68.0ms (0.9%)

Memory

-26.8MiB live, 100.3MiB allocated

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	779	5	784
Fresh	0	1	1
Picked	1	4	5
Done	0	5	5
Total	780	15	795

Accuracy

100.0%

Counts

795 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.6%	(fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im))
	27.8%	(/.f64 (fma.f64 (-.f64 x.re x.im) (.f64 (.f64 (.f64 x.re (-.f64 x.im x.re)) (+.f64 x.im x.re)) (.f64 #s(literal 2 binary64) x.im)) (-.f64 x.im x.re)) (.f64 (-.f64 x.im x.re) (.f64 #s(literal 2 binary64) x.im)))
	27.9%	(/.f64 (fma.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (.f64 #s(literal 2 binary64) x.im) #s(approx (* (- x.im x.re) 1) (neg.f64 x.re))) (.f64 (-.f64 x.im x.re) (.f64 #s(literal 2 binary64) x.im)))
	20.7%	(-.f64 (/.f64 (.f64 #s(approx (- (pow x.re 4) (pow x.im 4)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (fma.f64 x.re x.re (.f64 x.im x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓	51.9%	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) #s(approx (* (+ (* x.re x.im) (* x.im x.re)) x.im) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64))))
	2.8%	#s(approx (/ (+ (* (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* 2 x.im)) (* (- x.im x.re) 1)) (* (- x.im x.re) (* 2 x.im))) (/.f64 #s(literal 1/2 binary64) x.im))
	33.3%	#s(approx (/ (+ (* (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* 2 x.im)) (* (- x.im x.re) 1)) (* (- x.im x.re) (* 2 x.im))) (.f64 (.f64 (neg.f64 x.re) x.im) x.im))
✓	85.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
✓	51.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
✓	56.9%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
✓	56.9%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im)))
✓	54.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
✓	51.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))
✓	54.9%	#s(approx (- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
	2.7%	#s(approx (+ (* (- x.re x.im) (* x.re (+ x.re x.im))) (* 2 x.im)) (*.f64 #s(literal 2 binary64) x.im))

Compiler

Compiled 1 061 to 378 computations (64.4% saved)

regimes26.0ms (0.3%)

Memory

25.6MiB live, 61.6MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

10.0ms	x.re
7.0ms	x.im
7.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
99.8%	2	`x.re`
97.6%	3	`x.im`
99.8%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes13.0ms (0.2%)

Memory

-21.1MiB live, 25.6MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

9.0ms	x.re
4.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
98.9%	3	`x.re`
99.8%	3	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes14.0ms (0.2%)

Memory

-7.1MiB live, 31.1MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

6.0ms	x.im
4.0ms	x.re
3.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
95.1%	2	`x.im`
94.6%	3	`x.re`
95.0%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes7.0ms (0.1%)

Memory

22.8MiB live, 22.8MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.0%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
80.8%	2	`x.im`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes3.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
95.0%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes7.0ms (0.1%)

Memory

-27.0MiB live, 10.7MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

5.0ms	x.re
2.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
81.4%	2	`x.re`
89.9%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes7.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.7%	2	`x.im`
63.2%	2	`x.re`
71.4%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes6.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.8%	1	`x.re`
54.8%	1	`x.im`
54.8%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes4.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
2.7%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
2.7%	1	`x.re`
2.7%	1	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.5895352273223605e+239	4.3734095373233667e+248

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch3.0ms (0%)

Memory

-36.4MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.5895352273223605e+239	4.3734095373233667e+248
2.0ms	-1.51050872272171e+70	-1.430182736533627e+67

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch16.0ms (0.2%)

Memory

25.3MiB live, 25.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.332779724413103e+153	9.839690616129504e+156

Samples

9.0ms

128×

valid

Compiler

Compiled 478 to 296 computations (38.1% saved)

Precisions

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

ival-mult: 4.0ms (64.5% of total)

ival-sub: 1.0ms (16.1% of total)

ival-add: 1.0ms (16.1% of total)

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

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.354839699e-313	-0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.354839699e-313	-0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.354839699e-313	-0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.354839699e-313	-0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify36.0ms (0.5%)

Memory

-24.9MiB live, 53.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	624
1	137	624
2	178	624
3	203	624
4	215	624
5	217	624

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 500000000000000006973056902059962218987082928493319165556047085454840244713065271819204256539302862104897576699748505732232744236818610455170287378791473453516173873413357412617039474932160920305416077787124106846790742307490978048163971072 binary64)) (-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -10000000000000000725314363815292351261583744096465219555182101554790400 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.re) x.im)) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 500000000000000006973056902059962218987082928493319165556047085454840244713065271819204256539302862104897576699748505732232744236818610455170287378791473453516173873413357412617039474932160920305416077787124106846790742307490978048163971072 binary64)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re)) x.re)) (fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 x.im #s(literal 7599999999999999328119294520504658130645275195715139955456507419552885208949053023837022247383184266754214941258116175356243802780471046127522059602886656 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re)) x.re)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -50600563327/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.re x.im))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -50600563327/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -3 binary64)))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -50600563327/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) x.re))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -50600563327/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (* (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* 2 x.im)) (* (- x.im x.re) 1)) (* (- x.im x.re) (* 2 x.im))) (.f64 (.f64 (neg.f64 x.re) x.im) x.im)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
#s(approx (+ (* (- x.re x.im) (* x.re (+ x.re x.im))) (* 2 x.im)) (*.f64 #s(literal 2 binary64) x.im))

Outputs
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 500000000000000006973056902059962218987082928493319165556047085454840244713065271819204256539302862104897576699748505732232744236818610455170287378791473453516173873413357412617039474932160920305416077787124106846790742307490978048163971072 binary64)) (-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.im)) #s(literal 500000000000000006973056902059962218987082928493319165556047085454840244713065271819204256539302862104897576699748505732232744236818610455170287378791473453516173873413357412617039474932160920305416077787124106846790742307490978048163971072 binary64)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)) (.f64 (.f64 (+.f64 x.im x.im) x.re) x.im)) (fma.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.im x.re) x.re) (.f64 #s(literal 2 binary64) x.im)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -10000000000000000725314363815292351261583744096465219555182101554790400 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.re) x.im)) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 500000000000000006973056902059962218987082928493319165556047085454840244713065271819204256539302862104897576699748505732232744236818610455170287378791473453516173873413357412617039474932160920305416077787124106846790742307490978048163971072 binary64)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re)) x.re)) (fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.im)) #s(literal -10000000000000000725314363815292351261583744096465219555182101554790400 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.re) x.im)) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.im)) #s(literal 500000000000000006973056902059962218987082928493319165556047085454840244713065271819204256539302862104897576699748505732232744236818610455170287378791473453516173873413357412617039474932160920305416077787124106846790742307490978048163971072 binary64)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re)) x.re)) (fma.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.im x.re) x.re) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 x.im #s(literal 7599999999999999328119294520504658130645275195715139955456507419552885208949053023837022247383184266754214941258116175356243802780471046127522059602886656 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re)) x.re)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im))))
(if (<=.f64 x.im #s(literal 7599999999999999328119294520504658130645275195715139955456507419552885208949053023837022247383184266754214941258116175356243802780471046127522059602886656 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re)) x.re)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -50600563327/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.re x.im))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.im)) #s(literal -50600563327/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.im x.re))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -50600563327/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -3 binary64)))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.im)) #s(literal -50600563327/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.re)) x.im)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -50600563327/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) x.re))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.im)) #s(literal -50600563327/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -50600563327/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (* (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* 2 x.im)) (* (- x.im x.re) 1)) (* (- x.im x.re) (* 2 x.im))) (.f64 (.f64 (neg.f64 x.re) x.im) x.im)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.im)) #s(literal -50600563327/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (* (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* 2 x.im)) (* (- x.im x.re) 1)) (* (- x.im x.re) (* 2 x.im))) (.f64 (.f64 (neg.f64 x.re) x.im) x.im)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
#s(approx (+ (* (- x.re x.im) (* x.re (+ x.re x.im))) (* 2 x.im)) (*.f64 #s(literal 2 binary64) x.im))

soundness1.8s (22.9%)

Memory

1.4MiB live, 524.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	633	2536
1	2178	1872
0	8540	1767
0	11	54
0	20	54
1	83	42
0	572	41
0	56	190
1	169	170
2	519	170
3	2113	170
4	5800	170
0	8265	165
0	51	277
0	82	255
1	311	223
2	1909	223
0	8264	216
0	182	688
1	605	511
2	1884	457
3	6277	457
0	8693	438
0	38	232
0	58	232
1	215	204
0	1302	199

Stop Event

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

Compiler

Compiled 1 294 to 454 computations (64.9% saved)

preprocess196.0ms (2.5%)

Memory: -0.5MiB live, 113.6MiB allocated
Remove: (abs x.im)
Compiler: Compiled 1 998 to 460 computations (77% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (23.1%)

explain338.0ms (4.3%)

preprocess380.0ms (4.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify299.0ms (3.8%)

localize45.0ms (0.6%)

series11.0ms (0.1%)

simplify250.0ms (3.2%)

rewrite60.0ms (0.8%)

eval12.0ms (0.2%)

prune5.0ms (0.1%)

simplify237.0ms (3%)

localize113.0ms (1.4%)

series22.0ms (0.3%)

simplify176.0ms (2.2%)

rewrite64.0ms (0.8%)

eval38.0ms (0.5%)

prune14.0ms (0.2%)

simplify148.0ms (1.9%)

localize156.0ms (2%)

series45.0ms (0.6%)

simplify133.0ms (1.7%)

rewrite316.0ms (4%)

eval184.0ms (2.3%)

prune38.0ms (0.5%)

simplify153.0ms (1.9%)

localize114.0ms (1.4%)

series29.0ms (0.4%)

simplify200.0ms (2.5%)

rewrite171.0ms (2.2%)

eval130.0ms (1.6%)

prune68.0ms (0.9%)

regimes26.0ms (0.3%)

regimes13.0ms (0.2%)

regimes14.0ms (0.2%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch3.0ms (0%)

bsearch16.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify36.0ms (0.5%)

soundness1.8s (22.9%)

preprocess196.0ms (2.5%)

end0.0ms (0%)

Profiling