Metrics for math.cube on complex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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 (19.4%)

Memory

20.1MiB live, 1 316.6MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-mult: 843.0ms (81.2% of total)

ival-sub: 104.0ms (10% of total)

ival-add: 83.0ms (8% of total)

ival-true: 5.0ms (0.5% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain181.0ms (2%)

Memory

-6.7MiB live, 346.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
19	-	-	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
14	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
11	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
0	-	-	`(*.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	19	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	110
↳	`(*.f64 x.re x.re)`	overflow	65
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	104
↳	`(*.f64 x.im x.im)`	overflow	50
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	52
↳	`(*.f64 x.im x.re)`	overflow	28
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	28
↳	`(*.f64 x.re x.im)`	overflow	28
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	14	0
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	11	0
↳	`(*.f64 x.re x.re)`	overflow	65
↳	`(*.f64 x.im x.im)`	overflow	50

Confusion

	Predicted +	Predicted -
+	39	0
-	0	217

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	39	0	0
-	0	0	217

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	217
1	34
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

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

ival-mult: 24.0ms (76.1% of total)

ival-sub: 4.0ms (12.7% of total)

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

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

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

preprocess303.0ms (3.3%)

Memory

8.7MiB live, 292.0MiB allocated

Algorithm

1×	egg-herbie

Rules

22 902×	`lower-fma.f64`
22 902×	`lower-fma.f32`
3 052×	`lower-*.f32`
3 040×	`lower-*.f64`
2 270×	`lower-+.f32`

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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.0%	(-.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)

simplify200.0ms (2.2%)

Memory

-12.9MiB live, 262.1MiB 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))

Rules

22 902×	`lower-fma.f64`
22 902×	`lower-fma.f32`
3 052×	`lower-*.f32`
3 040×	`lower-*.f64`
2 270×	`lower-+.f32`

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)

localize29.0ms (0.3%)

Memory

5.9MiB live, 84.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	2.4999876149812352	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	3.3727023412148966	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy	3.8632812500000004	(-.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

22.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 9.0ms (71.9% 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)

series17.0ms (0.2%)

Memory

-2.0MiB live, 35.3MiB allocated

Counts

6 → 132

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())
#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())
#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())

Outputs
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor 0 x.im) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 2)) (pow x.re 2)) (taylor 0 x.im) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 2)) (pow x.re 2)) (taylor 0 x.im) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 2)) (pow x.re 2)) (taylor 0 x.im) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) (taylor 0 x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) (taylor 0 x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) (taylor 0 x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 2)) (taylor inf x.im) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor inf x.im) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor inf x.im) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor inf x.im) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (taylor inf x.im) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor inf x.im) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor inf x.im) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor inf x.im) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 2)) (taylor -inf x.im) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor -inf x.im) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor -inf x.im) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor -inf x.im) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor -inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor -inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor -inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (taylor -inf x.im) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor -inf x.im) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor -inf x.im) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor -inf x.im) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 2)) (taylor 0 x.re) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (- (pow x.re 2) (pow x.im 2)) (taylor 0 x.re) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (- (pow x.re 2) (pow x.im 2)) (taylor 0 x.re) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (- (pow x.re 2) (pow x.im 2)) (taylor 0 x.re) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor 0 x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor 0 x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor 0 x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor 0 x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	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))
2.0ms	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))
2.0ms	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))

simplify122.0ms (1.3%)

Memory

27.5MiB live, 179.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 920×	`lower-fma.f64`
12 920×	`lower-fma.f32`
2 972×	`lower-*.f64`
2 972×	`lower-*.f32`
1 386×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	888
1	169	888
2	519	888
3	2112	888
4	5776	888
0	8249	870

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

rewrite110.0ms (1.2%)

Memory

-24.0MiB live, 124.7MiB allocated

Rules

348×	`lower-fma.f64`
348×	`lower-fma.f32`
336×	`lower-*.f32`
324×	`lower-*.f64`
152×	`lower-/.f64`

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)))

eval28.0ms (0.3%)

Memory: -23.2MiB live, 57.3MiB allocated
Compiler: Compiled 4 631 to 354 computations (92.4% saved)

prune14.0ms (0.1%)

Memory

3.1MiB live, 41.9MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	219	9	228
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	220	9	229

Accuracy

100.0%

Counts

229 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.5%	(-.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))
	42.2%	(-.f64 (.f64 (/.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))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	92.4%	(-.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))
	41.4%	(-.f64 (.f64 (.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)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	64.6%	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	53.1%	(-.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))
▶	59.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
	90.4%	#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))
▶	48.1%	#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 310 to 198 computations (36.1% saved)

simplify187.0ms (2%)

Memory

22.4MiB live, 302.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 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.im x.im (.f64 x.re x.re)))
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.im x.im (.f64 x.re x.re))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
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) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
cost-diff	0	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
cost-diff	0	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re)
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	448	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	(.f64 (.f64 x.im x.im) x.re)
cost-diff	0	(.f64 #s(literal -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))

Rules

28 230×	`lower-fma.f32`
28 228×	`lower-fma.f64`
3 356×	`lower-*.f32`
3 334×	`lower-*.f64`
2 518×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	308
0	61	308
1	103	286
2	187	286
3	456	264
4	1380	264
5	3947	264
6	7079	264
0	8122	259

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

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

localize105.0ms (1.1%)

Memory

-16.4MiB live, 225.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	2.414092212539007	(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
accuracy	3.8632812500000004	(-.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))
accuracy	7.339812787453088	(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
accuracy	33.0023528467248	(/.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)))
accuracy	0	(pow.f64 x.re #s(literal 3 binary64))
accuracy	25.794941266800524	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
accuracy	0.15234375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	3.3727023412148966	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re)
accuracy	3.8632812500000004	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
accuracy	28.852257075697807	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
accuracy	0	(*.f64 x.im x.im)
accuracy	0.18359375	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
accuracy	7.4546027106772765	(.f64 (.f64 x.im x.im) x.re)
accuracy	29.89658550327888	#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) (.f64 x.im x.re))
accuracy	0.12890625	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re))
accuracy	0.15234375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	3.8632812500000004	(-.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

54.0ms

256×

valid

Compiler

Compiled 289 to 31 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 15.0ms (41.2% of total)

ival-pow: 8.0ms (22% of total)

ival-sub: 6.0ms (16.5% of total)

ival-add: 5.0ms (13.7% of total)

ival-div: 2.0ms (5.5% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.4%)

Memory

13.2MiB live, 93.8MiB allocated

Counts

18 → 408

Calls

Call 1

Inputs
#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())
#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) x.re)) (patch (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) x.re)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x.im x.im) x.re) (patch (.f64 (.f64 x.im x.im) x.re) #<representation binary64>) () ())
#s(alt (.f64 x.im x.im) (patch (.f64 x.im x.im) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.re) (patch (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re) #<representation binary64>) () ())
#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) (patch #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ())
#s(alt #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) (patch #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 x.re #s(literal 3 binary64)) (patch (pow.f64 x.re #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())
#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (patch (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt x.re (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 5) (taylor -inf x.re) (#s(alt (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (patch (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 5) (- (/ (pow x.im 4) (pow x.re 4)) 1))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (patch (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 5) (- (/ (pow x.im 4) (pow x.re 4)) 1))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (patch (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 5) (- (/ (pow x.im 4) (pow x.re 4)) 1))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (patch (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.re 4) (taylor -inf x.re) (#s(alt (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4))))) (taylor -inf x.re) (#s(alt (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4))))) (taylor -inf x.re) (#s(alt (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4))))) (taylor -inf x.re) (#s(alt (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	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)) (* (- (* x.re 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.im) (* x.im x.re)) x.im)) (pow x.re 3) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (- (pow x.re 4) (pow x.im 4)))
4.0ms	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)) (* (- (* x.re 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.im) (* x.im x.re)) x.im)) (pow x.re 3) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (- (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.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)) (* (- (* x.re 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.im) (* x.im x.re)) x.im)) (pow x.re 3) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (- (pow x.re 4) (pow x.im 4)))
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)) (* (- (* x.re 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.im) (* x.im x.re)) x.im)) (pow x.re 3) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (- (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.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)) (* (- (* x.re 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.im) (* x.im x.re)) x.im)) (pow x.re 3) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (- (pow x.re 4) (pow x.im 4)))

simplify140.0ms (1.5%)

Memory

-0.7MiB live, 231.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 090×	`lower-fma.f64`
11 090×	`lower-fma.f32`
2 986×	`lower-*.f64`
2 986×	`lower-*.f32`
2 598×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	4865
1	637	3839
2	2016	3433
3	6658	3433
0	8035	3337

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 402

Calls

Call 1

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

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

rewrite271.0ms (2.9%)

Memory

19.5MiB live, 334.0MiB allocated

Rules

5 562×	`lower-fma.f32`
5 560×	`lower-fma.f64`
4 782×	`lower-/.f32`
4 780×	`lower-/.f64`
4 218×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	220
0	61	206
1	241	178
2	1596	178
0	8208	173

Stop Event

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

Counts

18 → 1 167

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)
(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) 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))
(-.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 (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 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))

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

eval494.0ms (5.3%)

Memory: 14.3MiB live, 306.7MiB allocated
Compiler: Compiled 62 373 to 2 748 computations (95.6% saved)

prune229.0ms (2.5%)

Memory

-24.2MiB live, 136.7MiB allocated

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	1 827	14	1 841
Fresh	3	1	4
Picked	3	2	5
Done	0	0	0
Total	1 833	17	1 850

Accuracy

100.0%

Counts

1 850 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.4%	(-.f64 (/.f64 (.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	39.3%	(-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) 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))
▶	87.3%	(-.f64 (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	92.3%	(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal -1 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	42.2%	(-.f64 (.f64 (/.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))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	92.4%	(-.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))
	76.8%	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	91.3%	(-.f64 (.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	90.4%	#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re 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))
	73.1%	#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
	48.1%	#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
✓	59.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
▶	59.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))
▶	53.1%	#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)))
	53.1%	#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))))
	53.1%	#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.re x.im) x.im)))
✓	48.1%	#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 518 to 334 computations (35.5% saved)

simplify398.0ms (4.3%)

Memory

14.9MiB live, 185.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	832	(-.f64 (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
cost-diff	1472	(/.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
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))
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	-5824	(.f64 (.f64 x.re x.re) x.re)
cost-diff	0	(*.f64 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 (.f64 x.re x.re) x.re))
cost-diff	0	(*.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 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
cost-diff	1088	(/.f64 (*.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im)))

Rules

23 320×	`lower-fma.f64`
23 320×	`lower-fma.f32`
2 940×	`lower-*.f32`
2 916×	`lower-*.f64`
2 136×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	283
0	64	271
1	131	245
2	247	245
3	624	225
4	1595	225
5	4287	225
6	7414	225
0	8147	220

Stop Event

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

Calls

Call 1

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

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

localize175.0ms (1.9%)

Memory

4.5MiB live, 130.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	1.087234648874133	(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))
accuracy	2.9473363847106984	(/.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
accuracy	3.8632812500000004	(-.f64 (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
accuracy	0.12890625	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re))
accuracy	0.15234375	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy	0.2275188419631097	(*.f64 x.re (+.f64 x.im x.im))
accuracy	3.8632812500000004	(-.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))
accuracy	0	(*.f64 x.re x.im)
accuracy	0	(*.f64 #s(literal -3 binary64) x.im)
accuracy	0.23828125	(.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im))
accuracy	29.89658550327888	#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	0.09375	(.f64 (.f64 x.re x.re) x.re)
accuracy	25.794941266800524	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))
accuracy	0.01171875	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
accuracy	0.15234375	(/.f64 (*.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im)))
accuracy	0.15234375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	3.8632812500000004	(-.f64 (/.f64 (.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Samples

152.0ms

256×

valid

Compiler

Compiled 271 to 35 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult: 82.0ms (73.3% of total)

ival-sub: 19.0ms (17% of total)

ival-div: 6.0ms (5.4% of total)

ival-add: 5.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

series67.0ms (0.7%)

Memory

-10.2MiB live, 28.1MiB allocated

Counts

22 → 492

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (patch (/.f64 (.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 (.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 x.re x.im) x.re) (patch (.f64 (+.f64 x.re x.im) x.re) #<representation binary64>) () ())
#s(alt #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)) (patch #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)) #<representation binary64>) () ())
#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x.re x.re) x.re) (patch (.f64 (.f64 x.re x.re) x.re) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.re x.im)) (patch (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.re x.im)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -3 binary64) x.im) (patch (.f64 #s(literal -3 binary64) x.im) #<representation binary64>) () ())
#s(alt (.f64 x.re x.im) (patch (.f64 x.re x.im) #<representation binary64>) () ())
#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())
#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 x.re x.im) x.re) (patch (.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())
#s(alt (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (patch (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (patch (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())
#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im) (patch (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (patch (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) #<representation binary64>) () ())

Outputs
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (/.f64 (.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (patch (/.f64 (.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (/.f64 (.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (patch (/.f64 (.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (/.f64 (.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (patch (/.f64 (.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (/.f64 (.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (patch (/.f64 (.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (-.f64 (/.f64 (.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 (.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (/.f64 (.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 (.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (/.f64 (.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 (.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (/.f64 (.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 (.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor 0 x.im) (#s(alt (.f64 (+.f64 x.re x.im) x.re) (patch (.f64 (+.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im x.re) (pow x.re 2)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 x.re x.im) x.re) (patch (.f64 (+.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im x.re) (pow x.re 2)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 x.re x.im) x.re) (patch (.f64 (+.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im x.re) (pow x.re 2)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 x.re x.im) x.re) (patch (.f64 (+.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)) (patch #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)) (patch #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)) (patch #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)) (patch #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.re x.im)) (patch (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.re x.im)) (patch (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.re x.im)) (patch (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.re x.im)) (patch (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* -3 x.im) (taylor 0 x.im) (#s(alt (.f64 #s(literal -3 binary64) x.im) (patch (.f64 #s(literal -3 binary64) x.im) #<representation binary64>) () ())) ())
#s(alt (* -3 x.im) (taylor 0 x.im) (#s(alt (.f64 #s(literal -3 binary64) x.im) (patch (.f64 #s(literal -3 binary64) x.im) #<representation binary64>) () ())) ())
#s(alt (* -3 x.im) (taylor 0 x.im) (#s(alt (.f64 #s(literal -3 binary64) x.im) (patch (.f64 #s(literal -3 binary64) x.im) #<representation binary64>) () ())) ())
#s(alt (* -3 x.im) (taylor 0 x.im) (#s(alt (.f64 #s(literal -3 binary64) x.im) (patch (.f64 #s(literal -3 binary64) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor 0 x.im) (#s(alt (.f64 x.re x.im) (patch (.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor 0 x.im) (#s(alt (.f64 x.re x.im) (patch (.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor 0 x.im) (#s(alt (.f64 x.re x.im) (patch (.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor 0 x.im) (#s(alt (.f64 x.re x.im) (patch (.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt x.re (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor 0 x.im) (#s(alt (.f64 (-.f64 x.re x.im) x.re) (patch (.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x.im x.re)) (pow x.re 2)) (taylor 0 x.im) (#s(alt (.f64 (-.f64 x.re x.im) x.re) (patch (.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x.im x.re)) (pow x.re 2)) (taylor 0 x.im) (#s(alt (.f64 (-.f64 x.re x.im) x.re) (patch (.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x.im x.re)) (pow x.re 2)) (taylor 0 x.im) (#s(alt (.f64 (-.f64 x.re x.im) x.re) (patch (.f64 (-.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (patch (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (patch (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (patch (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (patch (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (-.f64 (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
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#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im) (patch (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x.re 2)) (taylor -inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (patch (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re))) (pow x.re 2)) (taylor -inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (patch (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x.im 2) x.re)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) x.re))) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2)) (taylor -inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (patch (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) x.re)) (/ (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2)) (taylor -inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (patch (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
39.0ms	x.im	@	0	((/ (* (+ x.re x.im) x.re) (/ 1 (- x.re x.im))) (- (/ (* (+ x.re x.im) x.re) (/ 1 (- x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re 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.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 (/ 1 (* (- x.re x.im) (+ x.re x.im)))) (- (/ x.re (/ 1 (* (- x.re x.im) (+ x.re x.im)))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- x.re x.im) (+ x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* x.re (+ x.im x.im)) (* (* x.re (+ x.im x.im)) x.im) (/ 1 (* (- x.re x.im) (+ x.re x.im))))
3.0ms	x.re	@	-inf	((/ (* (+ x.re x.im) x.re) (/ 1 (- x.re x.im))) (- (/ (* (+ x.re x.im) x.re) (/ 1 (- x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re 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.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 (/ 1 (* (- x.re x.im) (+ x.re x.im)))) (- (/ x.re (/ 1 (* (- x.re x.im) (+ x.re x.im)))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- x.re x.im) (+ x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* x.re (+ x.im x.im)) (* (* x.re (+ x.im x.im)) x.im) (/ 1 (* (- x.re x.im) (+ x.re x.im))))
3.0ms	x.re	@	inf	((/ (* (+ x.re x.im) x.re) (/ 1 (- x.re x.im))) (- (/ (* (+ x.re x.im) x.re) (/ 1 (- x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re 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.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 (/ 1 (* (- x.re x.im) (+ x.re x.im)))) (- (/ x.re (/ 1 (* (- x.re x.im) (+ x.re x.im)))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- x.re x.im) (+ x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* x.re (+ x.im x.im)) (* (* x.re (+ x.im x.im)) x.im) (/ 1 (* (- x.re x.im) (+ x.re x.im))))
2.0ms	x.im	@	-inf	((/ (* (+ x.re x.im) x.re) (/ 1 (- x.re x.im))) (- (/ (* (+ x.re x.im) x.re) (/ 1 (- x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re 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.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 (/ 1 (* (- x.re x.im) (+ x.re x.im)))) (- (/ x.re (/ 1 (* (- x.re x.im) (+ x.re x.im)))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- x.re x.im) (+ x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* x.re (+ x.im x.im)) (* (* x.re (+ x.im x.im)) x.im) (/ 1 (* (- x.re x.im) (+ x.re x.im))))
2.0ms	x.im	@	inf	((/ (* (+ x.re x.im) x.re) (/ 1 (- x.re x.im))) (- (/ (* (+ x.re x.im) x.re) (/ 1 (- x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re 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.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 (/ 1 (* (- x.re x.im) (+ x.re x.im)))) (- (/ x.re (/ 1 (* (- x.re x.im) (+ x.re x.im)))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- x.re x.im) (+ x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* x.re (+ x.im x.im)) (* (* x.re (+ x.im x.im)) x.im) (/ 1 (* (- x.re x.im) (+ x.re x.im))))

simplify182.0ms (2%)

Memory

12.8MiB live, 91.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 160×	`lower-fma.f64`
7 160×	`lower-fma.f32`
2 430×	`lower-+.f64`
2 430×	`lower-+.f32`
2 390×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	323	5004
1	1035	3870
2	3897	3615
0	8289	3503

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 486

Calls

Call 1

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

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

rewrite158.0ms (1.7%)

Memory

-26.0MiB live, 87.1MiB allocated

Rules

870×	`lower-*.f32`
858×	`lower-fma.f64`
858×	`lower-fma.f32`
846×	`lower-*.f64`
664×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	220
0	64	204
1	271	164
0	1973	159

Stop Event

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

Counts

22 → 747

Calls

Call 1

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

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

eval375.0ms (4.1%)

Memory: 7.7MiB live, 216.6MiB allocated
Compiler: Compiled 28 795 to 1 758 computations (93.9% saved)

prune161.0ms (1.7%)

Memory

16.0MiB live, 93.0MiB allocated

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	1 426	7	1 433
Fresh	5	5	10
Picked	2	3	5
Done	1	1	2
Total	1 434	16	1 450

Accuracy

100.0%

Counts

1 450 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.0%	(fma.f64 (neg.f64 x.re) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (+.f64 x.im x.re))) (*.f64 #s(literal 2 binary64) x.im))
	61.4%	(-.f64 (/.f64 (*.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (+.f64 x.im x.im))
	39.3%	(-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) 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))
▶	61.1%	(-.f64 (/.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (+.f64 x.im x.im))
	92.3%	(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal -1 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	92.3%	(-.f64 (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
	43.6%	(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (/.f64 (.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) x.im))
✓	92.4%	(-.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))
▶	90.2%	(-.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.re) (.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
	90.4%	#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re 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))
▶	48.1%	#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
	53.1%	#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.re) #s(literal -3 binary64)) x.im))
✓	59.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))
✓	53.1%	#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)))
▶	53.1%	#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.re x.im) x.im)))
✓	48.1%	#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 447 to 301 computations (32.7% saved)

simplify307.0ms (3.3%)

Memory

-10.1MiB live, 142.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x.im x.re)
cost-diff	0	(.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.re) (*.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im)))
cost-diff	128	(-.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.re) (.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
cost-diff	1024	(*.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im)
cost-diff	0	(+.f64 x.re x.im)
cost-diff	0	(-.f64 x.re x.im)
cost-diff	0	(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
cost-diff	1472	(/.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
cost-diff	0	(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
cost-diff	0	#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
cost-diff	0	(*.f64 x.re x.im)
cost-diff	0	(.f64 (.f64 x.re x.im) x.im)
cost-diff	0	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.re x.im) 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 #s(literal -3 binary64) (.f64 (*.f64 x.re x.im) x.im)))
cost-diff	0	(+.f64 x.im x.re)
cost-diff	0	(*.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im))))
cost-diff	832	(-.f64 (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
cost-diff	1216	(/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))

Rules

16 572×	`lower-fma.f32`
16 570×	`lower-fma.f64`
3 144×	`lower-*.f32`
3 120×	`lower-*.f64`
1 754×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	325
0	80	321
1	172	317
2	377	298
3	1195	289
4	4080	276
0	8270	270

Stop Event

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

Calls

Call 1

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

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

localize213.0ms (2.3%)

Memory

-3.6MiB live, 244.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy	0.2275188419631097	(*.f64 x.re (+.f64 x.im x.im))
accuracy	3.7902515279873343	(*.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im)
accuracy	3.8632812500000004	(-.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.re) (.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
accuracy	0	(+.f64 x.im x.im)
accuracy	0.00390625	(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
accuracy	1.087234648874133	(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))
accuracy	2.9473363847106984	(/.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
accuracy	0	(*.f64 x.im x.im)
accuracy	0.19921875	(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
accuracy	7.407681144103464	(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
accuracy	29.89658550327888	#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
accuracy	0	(*.f64 x.re x.im)
accuracy	0.15234375	(.f64 (.f64 x.re x.im) x.im)
accuracy	0.18359375	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.re x.im) x.im))
accuracy	29.89658550327888	#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.re x.im) x.im)))
accuracy	0.15234375	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy	0.185878759768442	(/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))
accuracy	0.2275188419631097	(*.f64 x.re (+.f64 x.im x.im))
accuracy	3.8632812500000004	(-.f64 (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))

Samples

148.0ms

256×

valid

Compiler

Compiled 283 to 50 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-sub: 29.0ms (35.5% of total)

ival-mult: 28.0ms (34.2% of total)

ival-div: 9.0ms (11% of total)

ival-add: 8.0ms (9.8% of total)

ival-pow: 5.0ms (6.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series55.0ms (0.6%)

Memory

-9.0MiB live, 64.7MiB allocated

Counts

23 → 516

Calls

Call 1

Inputs
#s(alt (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im))) (patch (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (patch (-.f64 (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) (patch (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) #<representation binary64>) () ())
#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())
#s(alt #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.re x.im) x.im))) (patch #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.re x.im) x.im))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -3 binary64) (.f64 (.f64 x.re x.im) x.im)) (patch (.f64 #s(literal -3 binary64) (.f64 (.f64 x.re x.im) x.im)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x.re x.im) x.im) (patch (.f64 (.f64 x.re x.im) x.im) #<representation binary64>) () ())
#s(alt (.f64 x.re x.im) (patch (.f64 x.re x.im) #<representation binary64>) () ())
#s(alt #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re)) (patch #s(approx (- (/ ( (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re) (patch (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) (patch (.f64 #s(literal -3 binary64) (.f64 x.im x.im)) #<representation binary64>) () ())
#s(alt (.f64 x.im x.im) (patch (.f64 x.im x.im) #<representation binary64>) () ())
#s(alt (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (patch (/.f64 x.re (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (patch (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) #<representation binary64>) () ())
#s(alt (-.f64 x.re x.im) (patch (-.f64 x.re x.im) #<representation binary64>) () ())
#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im) (patch (.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.re) (.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (patch (-.f64 (.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.re) (.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.re) (.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im))) (patch (.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.re) (*.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im))) #<representation binary64>) () ())
#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im) (patch (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (patch (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) #<representation binary64>) () ())
#s(alt (+.f64 x.im x.im) (patch (+.f64 x.im x.im) #<representation binary64>) () ())

Outputs
#s(alt (pow x.re 2) (taylor 0 x.im) (#s(alt (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im))) (patch (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x.im x.re)) (pow x.re 2)) (taylor 0 x.im) (#s(alt (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im))) (patch (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x.im x.re)) (pow x.re 2)) (taylor 0 x.im) (#s(alt (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im))) (patch (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x.im x.re)) (pow x.re 2)) (taylor 0 x.im) (#s(alt (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im))) (patch (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (-.f64 (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (patch (-.f64 (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (patch (-.f64 (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (patch (-.f64 (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (patch (-.f64 (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) (patch (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) (patch (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) (patch (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) (patch (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) #<representation binary64>) () ())) ())
#s(alt x.re (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt (+ x.im x.re) (taylor 0 x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (-.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.re) (.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (patch (-.f64 (.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.re) (.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (-.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.re) (.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (patch (-.f64 (.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.re) (.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.re) (.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im))) (patch (.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.re) (*.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) (taylor -inf x.re) (#s(alt (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.re) (.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im))) (patch (.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.re) (*.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.re) (.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im))) (patch (.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.re) (*.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.re) (.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im))) (patch (.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.re) (*.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im) (patch (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im) (patch (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im) (patch (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im) (patch (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x.re 2)) (taylor -inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (patch (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re))) (pow x.re 2)) (taylor -inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (patch (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x.im 2) x.re)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) x.re))) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2)) (taylor -inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (patch (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) x.re)) (/ (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2)))) x.re)) (* -1 (+ x.im (* -1 x.im)))) x.re))) (pow x.re 2)) (taylor -inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (patch (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x.im	@	-inf	((/ (neg x.re) (/ -1 (- x.re x.im))) (- (* (+ x.im x.re) (/ (neg x.re) (/ -1 (- x.re x.im)))) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (/ (neg x.re) (/ -1 (- 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.im)) (* -3 (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im) (* x.re x.im) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.im x.im)) x.re) (* -3 (* x.im x.im)) (* x.im x.im) (/ x.re (/ 1 (* (- x.re x.im) (+ x.re x.im)))) (* (- x.re x.im) (+ x.re x.im)) (- x.re x.im) (+ x.re x.im) (* (+ (* x.re (/ x.re x.im)) (neg x.re)) x.im) (- (* (+ 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.re (+ x.im x.im)) (* (* x.re (+ x.im x.im)) x.im) (/ 1 (* (- x.re x.im) (+ x.re x.im))) (+ x.im x.im))
3.0ms	x.im	@	inf	((/ (neg x.re) (/ -1 (- x.re x.im))) (- (* (+ x.im x.re) (/ (neg x.re) (/ -1 (- x.re x.im)))) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (/ (neg x.re) (/ -1 (- 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.im)) (* -3 (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im) (* x.re x.im) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.im x.im)) x.re) (* -3 (* x.im x.im)) (* x.im x.im) (/ x.re (/ 1 (* (- x.re x.im) (+ x.re x.im)))) (* (- x.re x.im) (+ x.re x.im)) (- x.re x.im) (+ x.re x.im) (* (+ (* x.re (/ x.re x.im)) (neg x.re)) x.im) (- (* (+ 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.re (+ x.im x.im)) (* (* x.re (+ x.im x.im)) x.im) (/ 1 (* (- x.re x.im) (+ x.re x.im))) (+ x.im x.im))
3.0ms	x.re	@	-inf	((/ (neg x.re) (/ -1 (- x.re x.im))) (- (* (+ x.im x.re) (/ (neg x.re) (/ -1 (- x.re x.im)))) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (/ (neg x.re) (/ -1 (- 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.im)) (* -3 (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im) (* x.re x.im) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.im x.im)) x.re) (* -3 (* x.im x.im)) (* x.im x.im) (/ x.re (/ 1 (* (- x.re x.im) (+ x.re x.im)))) (* (- x.re x.im) (+ x.re x.im)) (- x.re x.im) (+ x.re x.im) (* (+ (* x.re (/ x.re x.im)) (neg x.re)) x.im) (- (* (+ 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.re (+ x.im x.im)) (* (* x.re (+ x.im x.im)) x.im) (/ 1 (* (- x.re x.im) (+ x.re x.im))) (+ x.im x.im))
3.0ms	x.im	@	0	((/ (neg x.re) (/ -1 (- x.re x.im))) (- (* (+ x.im x.re) (/ (neg x.re) (/ -1 (- x.re x.im)))) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (/ (neg x.re) (/ -1 (- 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.im)) (* -3 (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im) (* x.re x.im) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.im x.im)) x.re) (* -3 (* x.im x.im)) (* x.im x.im) (/ x.re (/ 1 (* (- x.re x.im) (+ x.re x.im)))) (* (- x.re x.im) (+ x.re x.im)) (- x.re x.im) (+ x.re x.im) (* (+ (* x.re (/ x.re x.im)) (neg x.re)) x.im) (- (* (+ 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.re (+ x.im x.im)) (* (* x.re (+ x.im x.im)) x.im) (/ 1 (* (- x.re x.im) (+ x.re x.im))) (+ x.im x.im))
3.0ms	x.re	@	inf	((/ (neg x.re) (/ -1 (- x.re x.im))) (- (* (+ x.im x.re) (/ (neg x.re) (/ -1 (- x.re x.im)))) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (/ (neg x.re) (/ -1 (- 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.im)) (* -3 (* (* x.re x.im) x.im)) (* (* x.re x.im) x.im) (* x.re x.im) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.im x.im)) x.re) (* -3 (* x.im x.im)) (* x.im x.im) (/ x.re (/ 1 (* (- x.re x.im) (+ x.re x.im)))) (* (- x.re x.im) (+ x.re x.im)) (- x.re x.im) (+ x.re x.im) (* (+ (* x.re (/ x.re x.im)) (neg x.re)) x.im) (- (* (+ 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.re (+ x.im x.im)) (* (* x.re (+ x.im x.im)) x.im) (/ 1 (* (- x.re x.im) (+ x.re x.im))) (+ x.im x.im))

simplify186.0ms (2%)

Memory

8.6MiB live, 171.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 116×	`lower-fma.f64`
6 116×	`lower-fma.f32`
2 784×	`lower-*.f64`
2 784×	`lower-*.f32`
1 810×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	339	4894
1	1081	3676
2	4094	3637
0	8261	3537

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 501

Calls

Call 1

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

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

rewrite263.0ms (2.8%)

Memory

0.7MiB live, 399.1MiB allocated

Rules

6 188×	`lower-fma.f32`
6 186×	`lower-fma.f64`
3 650×	`lower-/.f32`
3 640×	`lower-/.f64`
3 300×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	238
0	79	227
1	364	193
2	2825	193
0	8350	189

Stop Event

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

Counts

23 → 1 389

Calls

Call 1

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

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

eval482.0ms (5.2%)

Memory: 66.6MiB live, 772.9MiB allocated
Compiler: Compiled 63 008 to 5 239 computations (91.7% saved)

prune113.0ms (1.2%)

Memory

-17.6MiB live, 280.7MiB allocated

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	2 568	6	2 574
Fresh	2	5	7
Picked	3	2	5
Done	1	3	4
Total	2 574	16	2 590

Accuracy

100.0%

Counts

2 590 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.9%	(fma.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.re) (.f64 (fma.f64 (/.f64 x.re x.im) x.re (neg.f64 x.re)) x.im)) (.f64 #s(literal 2 binary64) x.im))
	61.4%	(-.f64 (/.f64 (*.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (+.f64 x.im x.im))
	39.3%	(-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) 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))
	61.1%	(-.f64 (/.f64 (neg.f64 x.re) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (+.f64 x.im x.re))) (+.f64 x.im x.im))
	48.5%	(-.f64 (/.f64 x.re (/.f64 #s(literal 1 binary64) #s(approx (* (- x.re x.im) (+ x.re x.im)) (*.f64 x.re x.re)))) (+.f64 x.im x.im))
	92.3%	(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #s(literal -1 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	61.4%	(-.f64 (*.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) (+.f64 x.im x.im))
	43.6%	(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (/.f64 (.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) x.im))
	92.7%	#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 x.re x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re))
	90.4%	#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re 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))
	53.1%	#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
✓	48.1%	#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
✓	59.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))
✓	53.1%	#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)))
✓	53.1%	#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.re x.im) x.im)))
✓	48.1%	#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 826 to 304 computations (63.2% saved)

regimes38.0ms (0.4%)

Memory

0.1MiB live, 118.6MiB allocated

Counts

37 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

14.0ms	x.im
11.0ms	(-.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))
10.0ms	x.re

Results

Accuracy	Segments	Branch
99.8%	2	`x.re`
97.8%	2	`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)

regimes31.0ms (0.3%)

Memory

-20.6MiB live, 18.7MiB allocated

Counts

25 → 2

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	x.re
6.0ms	(-.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`
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 20 to 13 computations (35% saved)

regimes12.0ms (0.1%)

Memory

25.7MiB live, 25.7MiB allocated

Counts

19 → 2

Calls

Call 1

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

Calls

2 calls:

6.0ms	x.re
5.0ms	(-.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`
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 20 to 13 computations (35% saved)

regimes43.0ms (0.5%)

Memory

-13.1MiB live, 26.1MiB allocated

Counts

16 → 2

Calls

Call 1

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

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))

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

Calls

2 calls:

36.0ms	(-.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))
5.0ms	x.re

Results

Accuracy	Segments	Branch
97.8%	2	`x.re`
97.8%	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 20 to 13 computations (35% saved)

regimes16.0ms (0.2%)

Memory

-10.8MiB live, 29.9MiB allocated

Counts

12 → 2

Calls

Call 1

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

Calls

3 calls:

7.0ms	x.im
4.0ms	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
97.8%	2	`x.im`
97.8%	2	`x.re`
97.8%	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)

regimes10.0ms (0.1%)

Memory

26.0MiB live, 26.0MiB allocated

Counts

8 → 2

Calls

Call 1

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

Calls

3 calls:

3.0ms	x.re
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
97.0%	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))`
83.3%	2	`x.re`
83.2%	2	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

Calls

1 calls:

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
92.0%	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)

regimes6.0ms (0.1%)

Memory

-26.3MiB live, 11.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Calls

3 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))
1.0ms	x.re
1.0ms	x.im

Results

Accuracy	Segments	Branch
59.6%	1	`x.im`
59.6%	1	`x.re`
59.6%	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)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0379488368819014e+51	7.517179267363894e+80

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.62410572580156e-7	0.04979793788698536

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.72517310880464e+296	+inf

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-9.669455473403966e-118	-1.4830494139022613e-130

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch11.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	7.294401893498286e+150	4.69594491591243e+151

Samples

7.0ms

96×

valid

Compiler

Compiled 136 to 118 computations (13.2% saved)

Precisions

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

ival-mult: 3.0ms (66.5% of total)

ival-sub: 1.0ms (22.2% of total)

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

ival-add: 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	-8.600947341005619e-305	-5e-324

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.600947341005619e-305	-5e-324

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify78.0ms (0.8%)

Memory

-73.7MiB live, 91.1MiB allocated

Algorithm

1×	egg-herbie

Rules

440×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
324×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
298×	`neg-mul-1-binary64-*.f64-neg.f64`
232×	`neg-sub0-binary64--.f64-neg.f64`
168×	`cancel-sign-sub-binary64-+.f64-neg.f64-*.f64--.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	92	483
1	140	483
2	187	483
3	235	483
4	264	482
5	289	482
6	353	482
7	492	482
8	662	482
9	821	482
10	1000	482
11	1187	482
12	1329	482
13	1433	482
14	1478	482
15	1491	482
16	1493	482

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 1999999999999999986441897348723255952923416883888128 binary64)) (-.f64 (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (-.f64 (/.f64 (.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (+.f64 x.im 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 4722366482869645/9444732965739290427392 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 (/.f64 (*.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (+.f64 x.im 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 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696 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.im x.re) #s(approx (* (- x.re x.im) x.re) (.f64 (fma.f64 (/.f64 x.re x.im) x.re (neg.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 -5678427533559429/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104 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)) #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 x.re x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re)))
(if (<=.f64 x.im #s(literal 46000000000000001662372958966743348088996848253410534719938343672701816146584911949147228753238904631952972270416575712934909109167209348989840881876992 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 #s(literal -3 binary64) (.f64 (*.f64 x.re x.im) 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 -4941461262385513/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 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.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 (.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 -4941461262385513/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 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 (.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 x.re x.re) x.re))

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 1999999999999999986441897348723255952923416883888128 binary64)) (-.f64 (.f64 (+.f64 x.im x.re) (/.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (-.f64 (/.f64 (.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (+.f64 x.im 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 1999999999999999986441897348723255952923416883888128 binary64)) (-.f64 (.f64 (/.f64 x.re (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (+.f64 x.im x.re)) (.f64 (.f64 (+.f64 x.im x.im) x.re) x.im)) (-.f64 (/.f64 (.f64 (+.f64 x.im x.re) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (+.f64 x.im 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 4722366482869645/9444732965739290427392 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 (/.f64 (*.f64 (+.f64 x.re x.im) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (+.f64 x.im 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 4722366482869645/9444732965739290427392 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)) (-.f64 (/.f64 (*.f64 (+.f64 x.im x.re) x.re) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (+.f64 x.im 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 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696 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.im x.re) #s(approx (* (- x.re x.im) x.re) (.f64 (fma.f64 (/.f64 x.re x.im) x.re (neg.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 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696 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.im x.re) #s(approx (* (- x.re x.im) x.re) (.f64 (fma.f64 (/.f64 x.re x.im) x.re (neg.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 -5678427533559429/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104 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)) #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 x.re x.re (.f64 #s(literal -3 binary64) (*.f64 x.im 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.im x.re) (.f64 x.im x.re)) x.im)) #s(literal -5678427533559429/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104 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)) #s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 x.re x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re)))
(if (<=.f64 x.im #s(literal 46000000000000001662372958966743348088996848253410534719938343672701816146584911949147228753238904631952972270416575712934909109167209348989840881876992 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 #s(literal -3 binary64) (.f64 (*.f64 x.re x.im) x.im))))
(if (<=.f64 x.im #s(literal 46000000000000001662372958966743348088996848253410534719938343672701816146584911949147228753238904631952972270416575712934909109167209348989840881876992 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 (*.f64 x.im x.re) x.im) #s(literal -3 binary64))))
(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 -4941461262385513/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 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.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 (.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 -4941461262385513/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 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.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 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 -4941461262385513/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 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 (.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 -4941461262385513/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808 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 (.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 x.re x.re) x.re))

soundness1.4s (15.2%)

Memory

39.2MiB live, 1 205.7MiB allocated

Rules

12 920×	`lower-fma.f64`
12 920×	`lower-fma.f32`
11 090×	`lower-fma.f64`
11 090×	`lower-fma.f32`
7 160×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	888
1	169	888
2	519	888
3	2112	888
4	5776	888
0	8249	870
0	323	5004
1	1035	3870
2	3897	3615
0	8289	3503
0	40	220
0	61	206
1	241	178
2	1596	178
0	8208	173
0	195	4865
1	637	3839
2	2016	3433
3	6658	3433
0	8035	3337
0	11	54
0	20	54
1	83	42
0	572	41
0	52	238
0	79	227
1	364	193
2	2825	193
0	8350	189
0	40	220
0	64	204
1	271	164
0	1973	159
0	339	4894
1	1081	3676
2	4094	3637
0	8261	3537

Stop Event

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

Compiler

Compiled 1 036 to 418 computations (59.7% saved)

preprocess200.0ms (2.2%)

Memory: 11.7MiB live, 337.4MiB allocated
Remove: (abs x.im)
Compiler: Compiled 1 042 to 338 computations (67.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (19.4%)

explain181.0ms (2%)

preprocess303.0ms (3.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify200.0ms (2.2%)

localize29.0ms (0.3%)

series17.0ms (0.2%)

simplify122.0ms (1.3%)

rewrite110.0ms (1.2%)

eval28.0ms (0.3%)

prune14.0ms (0.1%)

simplify187.0ms (2%)

localize105.0ms (1.1%)

series38.0ms (0.4%)

simplify140.0ms (1.5%)

rewrite271.0ms (2.9%)

eval494.0ms (5.3%)

prune229.0ms (2.5%)

simplify398.0ms (4.3%)

localize175.0ms (1.9%)

series67.0ms (0.7%)

simplify182.0ms (2%)

rewrite158.0ms (1.7%)

eval375.0ms (4.1%)

prune161.0ms (1.7%)

simplify307.0ms (3.3%)

localize213.0ms (2.3%)

series55.0ms (0.6%)

simplify186.0ms (2%)

rewrite263.0ms (2.8%)

eval482.0ms (5.2%)

prune113.0ms (1.2%)

regimes38.0ms (0.4%)

regimes31.0ms (0.3%)

regimes12.0ms (0.1%)

regimes43.0ms (0.5%)

regimes16.0ms (0.2%)

regimes10.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch11.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify78.0ms (0.8%)

soundness1.4s (15.2%)

preprocess200.0ms (2.2%)

end0.0ms (0%)

Profiling