Metrics for math.cube on complex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

-37.7MiB live, 0.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 21 to 13 computations (38.1% saved)

sample1.2s (14.2%)

Memory

43.2MiB live, 1 857.7MiB allocated

Samples

893.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 673.0ms

ival-mult: 409.0ms (60.8% of total)

ival-sub: 217.0ms (32.2% of total)

ival-add: 36.0ms (5.3% of total)

ival-true: 7.0ms (1% of total)

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

Bogosity

explain211.0ms (2.6%)

Memory

-0.5MiB live, 298.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
22	-	-	`(-.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))`
20	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
18	-	-	`(-.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	22	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	104
↳	`(*.f64 x.re x.re)`	overflow	64
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	111
↳	`(*.f64 x.im x.im)`	overflow	65
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	58
↳	`(*.f64 x.im x.re)`	overflow	35
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	35
↳	`(*.f64 x.re x.im)`	overflow	35
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	20	0
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	18	0
↳	`(*.f64 x.re x.re)`	overflow	64
↳	`(*.f64 x.im x.im)`	overflow	65

Confusion

	Predicted +	Predicted -
+	51	0
-	0	205

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	205
1	42
2	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

94.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-sub: 42.0ms (59.1% of total)

ival-mult: 26.0ms (36.6% of total)

ival-add: 2.0ms (2.8% of total)

ival-true: 1.0ms (1.4% of total)

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

preprocess310.0ms (3.8%)

Memory

-18.7MiB live, 289.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x.im)

(negabs x.re)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.4%	(-.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)

simplify191.0ms (2.3%)

Memory

36.5MiB live, 190.1MiB 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))

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)

localize76.0ms (0.9%)

Memory

-40.1MiB live, 87.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	4.050762672471853	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	4.484375000000001	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
accuracy	4.760223912668436	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)

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 (68.5% of total)

ival-sub: 2.0ms (15.2% of total)

ival-add: 1.0ms (7.6% of total)

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

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

series15.0ms (0.2%)

Memory

23.3MiB live, 23.3MiB 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
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.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))

simplify121.0ms (1.5%)

Memory

-7.1MiB live, 144.2MiB allocated

Algorithm

1×	egg-herbie

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))

rewrite43.0ms (0.5%)

Memory

16.6MiB live, 54.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 96

Calls

Call 1

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

Outputs
#<batchref>
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eval24.0ms (0.3%)

Memory: 10.8MiB live, 48.5MiB allocated
Compiler: Compiled 4 631 to 354 computations (92.4% saved)

prune19.0ms (0.2%)

Memory

-5.1MiB live, 40.3MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	218	10	228
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	219	10	229

Accuracy

99.9%

Counts

229 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.9%	(-.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))
	80.4%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
▶	91.1%	(-.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))
	40.6%	(-.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))
▶	48.2%	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	62.6%	(-.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))
	55.4%	(-.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))
▶	58.8%	#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)))
	85.5%	#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))
▶	48.2%	#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 326 to 210 computations (35.6% saved)

simplify170.0ms (2.1%)

Memory

-23.4MiB live, 171.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	290
0	55	290
1	95	268
2	167	268
3	424	246
4	1390	246
5	3499	246
6	5838	246
7	7844	246
0	8177	241

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

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

localize66.0ms (0.8%)

Memory

33.8MiB live, 111.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 x.re #s(literal 3 binary64))
accuracy	26.363427301915888	#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	0.12890625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	4.484375000000001	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
accuracy	4.760223912668436	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re)
accuracy	29.909930224994522	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))
accuracy	0.12890625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	4.484375000000001	(-.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	4.760223912668436	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.re)
accuracy	29.43737570773318	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
accuracy	0	(*.f64 x.im x.im)
accuracy	0.21484375	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
accuracy	7.883610017118883	(.f64 (.f64 x.im x.im) x.re)
accuracy	28.400280425429763	#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	0.0078125	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
accuracy	0.125	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re))
accuracy	0.12890625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	4.484375000000001	(-.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

46.0ms

256×

valid

Compiler

Compiled 253 to 25 computations (90.1% saved)

Precisions

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

ival-mult: 16.0ms (57.3% of total)

ival-sub: 4.0ms (14.3% of total)

ival-add: 3.0ms (10.7% of total)

ival-pow: 3.0ms (10.7% of total)

ival-neg: 1.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series98.0ms (1.2%)

Memory

-34.9MiB live, 35.8MiB allocated

Counts

17 → 384

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 (-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) 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 (neg.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 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) (patch (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) #<representation binary64>) () ())
#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) (patch #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) #<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 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 (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>) () ())) ())
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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 #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 (pow x.re 3) (taylor -inf x.re) (#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 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#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 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#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 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#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 (pow x.re 2) (taylor -inf x.re) (#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 (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#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 (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#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 (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#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 (pow x.re 3) (taylor -inf x.re) (#s(alt (-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) 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 (neg.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 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) 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 (neg.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 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) 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 (neg.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 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) 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 (neg.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) (taylor -inf x.re) (#s(alt (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) (patch (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.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 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) (patch (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.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 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) (patch (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.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 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) (patch (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) (patch #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.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 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) (patch #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.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 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) (patch #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.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 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) (patch #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#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 (* -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 #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 (* -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 #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 (* -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 #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 x.re 3) (taylor -inf x.re) (#s(alt (pow.f64 x.re #s(literal 3 binary64)) (patch (pow.f64 x.re #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (pow.f64 x.re #s(literal 3 binary64)) (patch (pow.f64 x.re #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (pow.f64 x.re #s(literal 3 binary64)) (patch (pow.f64 x.re #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (pow.f64 x.re #s(literal 3 binary64)) (patch (pow.f64 x.re #s(literal 3 binary64)) #<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
76.0ms	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)) (* (- (* 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) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
3.0ms	x.re	@	-inf	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* 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)) (* (- (* 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) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	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)) (* (- (* 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) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	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)) (* (- (* 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) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	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)) (* (- (* 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) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify302.0ms (3.7%)

Memory

-7.7MiB live, 147.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	3934
1	522	2982
2	1693	2758
3	5844	2758
0	8422	2674

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 378

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

rewrite76.0ms (0.9%)

Memory

11.9MiB live, 51.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	212
0	55	212
1	194	184
0	1162	179

Stop Event

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

Counts

17 → 180

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

Outputs
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eval175.0ms (2.1%)

Memory: 3.7MiB live, 120.5MiB allocated
Compiler: Compiled 12 123 to 606 computations (95% saved)

prune148.0ms (1.8%)

Memory

3.5MiB live, 79.8MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	718	8	726
Fresh	4	1	5
Picked	3	2	5
Done	0	0	0
Total	725	11	736

Accuracy

100.0%

Counts

736 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.1%	(-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	32.3%	(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))
▶	91.1%	(-.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))
✓	58.8%	#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)))
	85.5%	#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))
▶	58.7%	#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))
▶	48.3%	#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.im x.im) (*.f64 x.re #s(literal -3 binary64))))
	55.5%	#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)))
▶	55.4%	#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))))
	55.4%	#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)))
✓	48.2%	#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 252 to 176 computations (30.2% saved)

simplify245.0ms (3%)

Memory

0.9MiB live, 82.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (-.f64 x.re x.im) x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	832	(-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
cost-diff	1408	(/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re))
cost-diff	0	(*.f64 x.re #s(literal -3 binary64))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	(.f64 (.f64 x.im x.im) (*.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)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
cost-diff	0	(*.f64 x.re x.im)
cost-diff	0	(.f64 (.f64 x.re x.im) #s(literal -3 binary64))
cost-diff	0	(.f64 x.im (.f64 (*.f64 x.re x.im) #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)) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -3 binary64))))
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	0	(+.f64 x.im x.re)
cost-diff	0	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re))
cost-diff	832	(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	278
0	63	250
1	127	236
2	277	236
3	950	216
4	3616	216
5	7377	216
0	8016	211

Stop Event

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

Calls

Call 1

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

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

localize155.0ms (1.9%)

Memory

-5.4MiB live, 105.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	1.232769291302705	(.f64 (.f64 (-.f64 x.re x.im) x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)))
accuracy	4.484375000000001	(-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
accuracy	6.695461215910059	(/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re))
accuracy	0	(*.f64 x.re #s(literal -3 binary64))
accuracy	0	(*.f64 x.im x.im)
accuracy	7.972947238710601	(.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))
accuracy	28.400280425429763	#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.im x.im) (*.f64 x.re #s(literal -3 binary64))))
accuracy	0	(*.f64 x.re x.im)
accuracy	0.18359375	(.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))
accuracy	0.2109375	(.f64 (.f64 x.re x.im) #s(literal -3 binary64))
accuracy	28.400280425429763	#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))))
accuracy	0	(*.f64 x.re x.re)
accuracy	0.09375	(.f64 (.f64 x.re x.re) x.re)
accuracy	26.363427301915888	#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	0.00390625	(*.f64 (-.f64 x.re x.im) x.re)
accuracy	0.125	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re))
accuracy	0.12890625	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy	4.484375000000001	(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))

Samples

134.0ms

256×

valid

Compiler

Compiled 258 to 33 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-mult: 94.0ms (81.1% of total)

ival-add: 13.0ms (11.2% of total)

ival-sub: 7.0ms (6% of total)

ival-div: 2.0ms (1.7% of total)

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

exact: 0.0ms (0% of total)

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

series102.0ms (1.2%)

Memory

-25.5MiB live, 30.1MiB allocated

Counts

21 → 456

Calls

Call 1

Inputs
#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 #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 x.im (.f64 (.f64 x.re x.im) #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)) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -3 binary64))) (patch (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x.re x.im) #s(literal -3 binary64)) (patch (.f64 (.f64 x.re x.im) #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x.re x.im) (patch (.f64 x.re x.im) #<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.im x.im) (.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)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x.im x.im) (.f64 x.re #s(literal -3 binary64))) (patch (.f64 (.f64 x.im x.im) (.f64 x.re #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x.im x.im) (patch (.f64 x.im x.im) #<representation binary64>) () ())
#s(alt (.f64 x.re #s(literal -3 binary64)) (patch (.f64 x.re #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (patch (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 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 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (patch (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) #<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 (+.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 (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 #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 x.im (.f64 (.f64 x.re x.im) #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)) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) #<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 x.im (.f64 (.f64 x.re x.im) #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)) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) #<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 x.im (.f64 (.f64 x.re x.im) #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)) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) #<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 x.im (.f64 (.f64 x.re x.im) #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)) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -3 binary64))) (patch (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -3 binary64))) (patch (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -3 binary64))) (patch (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -3 binary64))) (patch (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 x.re x.im) #s(literal -3 binary64)) (patch (.f64 (.f64 x.re x.im) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 x.re x.im) #s(literal -3 binary64)) (patch (.f64 (.f64 x.re x.im) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 x.re x.im) #s(literal -3 binary64)) (patch (.f64 (.f64 x.re x.im) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 x.re x.im) #s(literal -3 binary64)) (patch (.f64 (.f64 x.re x.im) #s(literal -3 binary64)) #<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 #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.im x.im) (.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)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) #<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.im x.im) (.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)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) #<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.im x.im) (.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)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) #<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.im x.im) (.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)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 x.im x.im) (.f64 x.re #s(literal -3 binary64))) (patch (.f64 (.f64 x.im x.im) (.f64 x.re #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 x.im x.im) (.f64 x.re #s(literal -3 binary64))) (patch (.f64 (.f64 x.im x.im) (.f64 x.re #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 x.im x.im) (.f64 x.re #s(literal -3 binary64))) (patch (.f64 (.f64 x.im x.im) (.f64 x.re #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (.f64 x.im x.im) (.f64 x.re #s(literal -3 binary64))) (patch (.f64 (.f64 x.im x.im) (.f64 x.re #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor 0 x.im) (#s(alt (.f64 x.im x.im) (patch (.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor 0 x.im) (#s(alt (.f64 x.im x.im) (patch (.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor 0 x.im) (#s(alt (.f64 x.im x.im) (patch (.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.im 2) (taylor 0 x.im) (#s(alt (.f64 x.im x.im) (patch (.f64 x.im 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 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (patch (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) #<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 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (patch (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) #<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 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (patch (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) #<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 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (patch (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 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 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 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 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 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 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 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>) () ())) ())
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#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>) () ())) ())
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#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#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>) () ())) ())
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#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#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.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 (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (taylor -inf 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>) () ())) ())
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#s(alt x.im (taylor -inf x.im) (#s(alt (+.f64 x.im x.re) (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
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#s(alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (taylor -inf 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 x.im (.f64 (.f64 x.re x.im) #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)) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -3 (* x.im x.re)) (taylor -inf x.im) (#s(alt (.f64 (.f64 x.re x.im) #s(literal -3 binary64)) (patch (.f64 (.f64 x.re x.im) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* x.im x.re)) (taylor -inf x.im) (#s(alt (.f64 (.f64 x.re x.im) #s(literal -3 binary64)) (patch (.f64 (.f64 x.re x.im) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* x.im x.re) (taylor -inf x.re) (#s(alt (.f64 x.re x.im) (patch (.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor -inf x.re) (#s(alt (.f64 x.re x.im) (patch (.f64 x.re x.im) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#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.im x.im) (.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)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) #<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 #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.im x.im) (.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)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) #<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 #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.im x.im) (.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)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) #<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 #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.im x.im) (.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)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.im x.im) (.f64 x.re #s(literal -3 binary64))) (patch (.f64 (.f64 x.im x.im) (.f64 x.re #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.im x.im) (.f64 x.re #s(literal -3 binary64))) (patch (.f64 (.f64 x.im x.im) (.f64 x.re #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.im x.im) (.f64 x.re #s(literal -3 binary64))) (patch (.f64 (.f64 x.im x.im) (.f64 x.re #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (.f64 x.im x.im) (.f64 x.re #s(literal -3 binary64))) (patch (.f64 (.f64 x.im x.im) (.f64 x.re #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3 x.re) (taylor -inf x.re) (#s(alt (.f64 x.re #s(literal -3 binary64)) (patch (.f64 x.re #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 x.re) (taylor -inf x.re) (#s(alt (.f64 x.re #s(literal -3 binary64)) (patch (.f64 x.re #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 x.re) (taylor -inf x.re) (#s(alt (.f64 x.re #s(literal -3 binary64)) (patch (.f64 x.re #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 x.re) (taylor -inf x.re) (#s(alt (.f64 x.re #s(literal -3 binary64)) (patch (.f64 x.re #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (patch (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) #<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 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (patch (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) #<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 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (patch (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) #<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 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (patch (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im 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 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) 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 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) 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 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 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 (* -1 (pow x.re 4)) (taylor -inf x.re) (#s(alt (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (patch (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (- (* -1 (/ (+ x.im (* -2 x.im)) x.re)) 1)) (taylor -inf x.re) (#s(alt (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (patch (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (- (* -1 (/ (+ x.im (+ (* -2 x.im) (* -1 (/ (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2))) x.re)))) x.re)) 1)) (taylor -inf x.re) (#s(alt (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (patch (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (- (* -1 (/ (+ x.im (+ (* -2 x.im) (* -1 (/ (+ (* -1 (/ (pow x.im 3) x.re)) (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) x.re)))) x.re)) 1)) (taylor -inf x.re) (#s(alt (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (patch (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) #<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 (* 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
74.0ms	x.re	@	inf	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* 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)) (* x.im (* (* x.re x.im) -3)) (* (* x.re x.im) -3) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (- (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* (* x.re (+ x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
4.0ms	x.re	@	-inf	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* 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)) (* x.im (* (* x.re x.im) -3)) (* (* x.re x.im) -3) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (- (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* (* x.re (+ x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
3.0ms	x.re	@	0	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* 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)) (* x.im (* (* x.re x.im) -3)) (* (* x.re x.im) -3) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (- (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* (* x.re (+ x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.im	@	-inf	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* 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)) (* x.im (* (* x.re x.im) -3)) (* (* x.re x.im) -3) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (- (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* (* x.re (+ x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.im	@	inf	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* 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)) (* x.im (* (* x.re x.im) -3)) (* (* x.re x.im) -3) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (- (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* (* x.re (+ x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify287.0ms (3.5%)

Memory

36.8MiB live, 142.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	281	4652
1	943	3810
2	3537	3363
0	8093	3291

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 450

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

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

rewrite452.0ms (5.5%)

Memory

-22.0MiB live, 257.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	229
0	63	193
1	241	167
2	1690	167
0	8918	162

Stop Event

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

Counts

21 → 2 397

Calls

Call 1

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

Outputs
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eval553.0ms (6.7%)

Memory: 62.2MiB live, 541.5MiB allocated
Compiler: Compiled 101 409 to 4 134 computations (95.9% saved)

prune121.0ms (1.5%)

Memory

-13.7MiB live, 225.3MiB allocated

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	2 923	9	2 932
Fresh	1	3	4
Picked	1	4	5
Done	0	2	2
Total	2 925	18	2 943

Accuracy

100.0%

Counts

2 943 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.8%	(fma.f64 (/.f64 (.f64 (-.f64 x.im x.re) (.f64 (.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im))) (.f64 (-.f64 x.im x.re) (+.f64 x.re x.im))) (+.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im))
▶	58.3%	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (.f64 #s(literal 2 binary64) x.im))
	57.5%	(-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (+.f64 x.im x.im))
	76.9%	(-.f64 (/.f64 (.f64 #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 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	91.1%	(-.f64 (.f64 (-.f64 x.re x.im) (.f64 (.f64 (.f64 x.re (-.f64 x.im x.re)) (+.f64 x.re x.im)) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
	32.3%	(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))
✓	91.1%	(-.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))
	88.5%	(-.f64 (.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 (*.f64 x.re (+.f64 x.im x.im)) x.im))
▶	75.9%	#s(approx (- (/ (* (* (- x.re 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.im)) (.f64 (.f64 x.re (+.f64 (/.f64 (.f64 (/.f64 x.re x.im) x.re) x.im) #s(literal -3 binary64))) (.f64 x.im x.im)))
✓	58.8%	#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)))
	85.5%	#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))
✓	58.7%	#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))
▶	55.5%	#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.im) (*.f64 #s(literal -3 binary64) x.im)))
✓	48.3%	#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.im x.im) (*.f64 x.re #s(literal -3 binary64))))
✓	55.4%	#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))))
	55.5%	#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 #s(literal -3 binary64) x.re) x.im)))
▶	55.4%	#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)))
✓	48.2%	#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 491 to 309 computations (37.1% saved)

simplify157.0ms (1.9%)

Memory

-37.0MiB live, 194.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 x.re (+.f64 (/.f64 (.f64 (/.f64 x.re x.im) x.re) x.im) #s(literal -3 binary64)))
cost-diff	0	(.f64 (.f64 x.re (+.f64 (/.f64 (.f64 (/.f64 x.re x.im) x.re) x.im) #s(literal -3 binary64))) (.f64 x.im x.im))
cost-diff	0	#s(approx (- (/ (* (* (- x.re 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.im)) (.f64 (.f64 x.re (+.f64 (/.f64 (.f64 (/.f64 x.re x.im) x.re) x.im) #s(literal -3 binary64))) (.f64 x.im x.im)))
cost-diff	128	(+.f64 (/.f64 (*.f64 (/.f64 x.re x.im) x.re) x.im) #s(literal -3 binary64))
cost-diff	0	(*.f64 #s(literal 2 binary64) x.im)
cost-diff	0	(-.f64 x.re x.im)
cost-diff	0	(*.f64 (-.f64 x.re x.im) x.re)
cost-diff	0	(+.f64 x.re x.im)
cost-diff	0	(*.f64 #s(literal -3 binary64) x.im)
cost-diff	0	(*.f64 x.re x.im)
cost-diff	0	(.f64 (.f64 x.re x.im) (*.f64 #s(literal -3 binary64) 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 x.re x.im) (*.f64 #s(literal -3 binary64) x.im)))
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.re x.im)
cost-diff	0	(.f64 (-.f64 x.re x.im) (.f64 (.f64 (.f64 x.re (-.f64 x.im x.re)) (+.f64 x.re x.im)) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))
cost-diff	832	(-.f64 (.f64 (-.f64 x.re x.im) (.f64 (.f64 (.f64 x.re (-.f64 x.im x.re)) (+.f64 x.re x.im)) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
cost-diff	7488	(.f64 (.f64 (*.f64 x.re (-.f64 x.im x.re)) (+.f64 x.re x.im)) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	323
0	80	317
1	174	313
2	451	271
3	1809	255
4	4096	255
0	8792	245

Stop Event

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

Calls

Call 1

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

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

localize136.0ms (1.7%)

Memory

17.5MiB live, 285.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.171875	(*.f64 (/.f64 x.re x.im) x.re)
accuracy	0.5832439225468549	(.f64 x.re (+.f64 (/.f64 (.f64 (/.f64 x.re x.im) x.re) x.im) #s(literal -3 binary64)))
accuracy	4.014771380624152	(/.f64 (*.f64 (/.f64 x.re x.im) x.re) x.im)
accuracy	14.460582254173755	(.f64 (.f64 x.re (+.f64 (/.f64 (.f64 (/.f64 x.re x.im) x.re) x.im) #s(literal -3 binary64))) (.f64 x.im x.im))
accuracy	0	(+.f64 x.re x.im)
accuracy	0	(*.f64 #s(literal 2 binary64) x.im)
accuracy	0.00390625	(*.f64 (-.f64 x.re x.im) x.re)
accuracy	0.08203125	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (.f64 #s(literal 2 binary64) x.im))
accuracy	0	(*.f64 x.re x.im)
accuracy	0	(*.f64 #s(literal -3 binary64) x.im)
accuracy	0.213222509768442	(.f64 (.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im))
accuracy	28.400280425429763	#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.im) (*.f64 #s(literal -3 binary64) x.im)))
accuracy	0	(*.f64 x.re x.im)
accuracy	0.125	(.f64 (.f64 x.re x.im) x.im)
accuracy	0.21484375	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.re x.im) x.im))
accuracy	28.400280425429763	#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	0.12890625	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy	0.1328125	(.f64 (-.f64 x.re x.im) (.f64 (.f64 (.f64 x.re (-.f64 x.im x.re)) (+.f64 x.re x.im)) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))
accuracy	4.484375000000001	(-.f64 (.f64 (-.f64 x.re x.im) (.f64 (.f64 (.f64 x.re (-.f64 x.im x.re)) (+.f64 x.re x.im)) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
accuracy	10.727741857903252	(.f64 (.f64 (*.f64 x.re (-.f64 x.im x.re)) (+.f64 x.re x.im)) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))

Samples

85.0ms	237×	0	valid
8.0ms	6×	4	valid
4.0ms	5×	2	valid
3.0ms	4×	3	valid
2.0ms	4×	1	valid

Compiler

Compiled 294 to 46 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 43.0ms (55.4% of total)

ival-add: 11.0ms (14.2% of total)

ival-sub: 10.0ms (12.9% of total)

ival-div: 5.0ms (6.4% of total)

ival-pow: 5.0ms (6.4% of total)

adjust: 4.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory

-0.2MiB live, 73.3MiB allocated

Counts

22 → 504

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x.re	@	inf	((* (* (* x.re (- x.im x.re)) (+ x.re x.im)) (pow (- x.im x.re) -1)) (- (* (- x.re x.im) (* (* (* x.re (- x.im x.re)) (+ x.re x.im)) (pow (- x.im x.re) -1))) (* (* x.re (+ x.im x.im)) x.im)) (* (- x.re x.im) (* (* (* x.re (- x.im x.re)) (+ x.re x.im)) (pow (- x.im x.re) -1))) (- x.re x.im) (- (* (- (* 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) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re x.im) (* -3 x.im)) (* -3 x.im) (+ x.re x.im) (* (- x.re x.im) x.re) (* 2 x.im) (+ (/ (* (/ x.re x.im) x.re) x.im) -3) (- (/ (* (* (- x.re 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.im)) (* (* x.re (+ (/ (* (/ x.re x.im) x.re) x.im) -3)) (* x.im x.im)) (* x.re (+ (/ (* (/ x.re x.im) x.re) x.im) -3)) (* (* x.re (+ x.im x.im)) x.im) (+ (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* 2 x.im)) (/ (* (/ x.re x.im) x.re) x.im) (* (/ x.re x.im) x.re))
4.0ms	x.re	@	-inf	((* (* (* x.re (- x.im x.re)) (+ x.re x.im)) (pow (- x.im x.re) -1)) (- (* (- x.re x.im) (* (* (* x.re (- x.im x.re)) (+ x.re x.im)) (pow (- x.im x.re) -1))) (* (* x.re (+ x.im x.im)) x.im)) (* (- x.re x.im) (* (* (* x.re (- x.im x.re)) (+ x.re x.im)) (pow (- x.im x.re) -1))) (- x.re x.im) (- (* (- (* 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) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re x.im) (* -3 x.im)) (* -3 x.im) (+ x.re x.im) (* (- x.re x.im) x.re) (* 2 x.im) (+ (/ (* (/ x.re x.im) x.re) x.im) -3) (- (/ (* (* (- x.re 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.im)) (* (* x.re (+ (/ (* (/ x.re x.im) x.re) x.im) -3)) (* x.im x.im)) (* x.re (+ (/ (* (/ x.re x.im) x.re) x.im) -3)) (* (* x.re (+ x.im x.im)) x.im) (+ (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* 2 x.im)) (/ (* (/ x.re x.im) x.re) x.im) (* (/ x.re x.im) x.re))
3.0ms	x.im	@	inf	((* (* (* x.re (- x.im x.re)) (+ x.re x.im)) (pow (- x.im x.re) -1)) (- (* (- x.re x.im) (* (* (* x.re (- x.im x.re)) (+ x.re x.im)) (pow (- x.im x.re) -1))) (* (* x.re (+ x.im x.im)) x.im)) (* (- x.re x.im) (* (* (* x.re (- x.im x.re)) (+ x.re x.im)) (pow (- x.im x.re) -1))) (- x.re x.im) (- (* (- (* 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) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re x.im) (* -3 x.im)) (* -3 x.im) (+ x.re x.im) (* (- x.re x.im) x.re) (* 2 x.im) (+ (/ (* (/ x.re x.im) x.re) x.im) -3) (- (/ (* (* (- x.re 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.im)) (* (* x.re (+ (/ (* (/ x.re x.im) x.re) x.im) -3)) (* x.im x.im)) (* x.re (+ (/ (* (/ x.re x.im) x.re) x.im) -3)) (* (* x.re (+ x.im x.im)) x.im) (+ (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* 2 x.im)) (/ (* (/ x.re x.im) x.re) x.im) (* (/ x.re x.im) x.re))
3.0ms	x.im	@	-inf	((* (* (* x.re (- x.im x.re)) (+ x.re x.im)) (pow (- x.im x.re) -1)) (- (* (- x.re x.im) (* (* (* x.re (- x.im x.re)) (+ x.re x.im)) (pow (- x.im x.re) -1))) (* (* x.re (+ x.im x.im)) x.im)) (* (- x.re x.im) (* (* (* x.re (- x.im x.re)) (+ x.re x.im)) (pow (- x.im x.re) -1))) (- x.re x.im) (- (* (- (* 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) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re x.im) (* -3 x.im)) (* -3 x.im) (+ x.re x.im) (* (- x.re x.im) x.re) (* 2 x.im) (+ (/ (* (/ x.re x.im) x.re) x.im) -3) (- (/ (* (* (- x.re 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.im)) (* (* x.re (+ (/ (* (/ x.re x.im) x.re) x.im) -3)) (* x.im x.im)) (* x.re (+ (/ (* (/ x.re x.im) x.re) x.im) -3)) (* (* x.re (+ x.im x.im)) x.im) (+ (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* 2 x.im)) (/ (* (/ x.re x.im) x.re) x.im) (* (/ x.re x.im) x.re))
3.0ms	x.im	@	0	((* (* (* x.re (- x.im x.re)) (+ x.re x.im)) (pow (- x.im x.re) -1)) (- (* (- x.re x.im) (* (* (* x.re (- x.im x.re)) (+ x.re x.im)) (pow (- x.im x.re) -1))) (* (* x.re (+ x.im x.im)) x.im)) (* (- x.re x.im) (* (* (* x.re (- x.im x.re)) (+ x.re x.im)) (pow (- x.im x.re) -1))) (- x.re x.im) (- (* (- (* 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) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re x.im) (* -3 x.im)) (* -3 x.im) (+ x.re x.im) (* (- x.re x.im) x.re) (* 2 x.im) (+ (/ (* (/ x.re x.im) x.re) x.im) -3) (- (/ (* (* (- x.re 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.im)) (* (* x.re (+ (/ (* (/ x.re x.im) x.re) x.im) -3)) (* x.im x.im)) (* x.re (+ (/ (* (/ x.re x.im) x.re) x.im) -3)) (* (* x.re (+ x.im x.im)) x.im) (+ (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* 2 x.im)) (/ (* (/ x.re x.im) x.re) x.im) (* (/ x.re x.im) x.re))

simplify274.0ms (3.3%)

Memory

33.9MiB live, 340.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	248	4962
1	813	4200
2	2604	3793
0	8311	3667

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 495

Calls

Call 1

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

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

rewrite242.0ms (2.9%)

Memory

18.9MiB live, 409.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	263
0	80	262
1	329	185
2	2446	185
0	8141	185

Stop Event

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

Counts

22 → 1 604

Calls

Call 1

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

Outputs
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eval431.0ms (5.2%)

Memory: -56.5MiB live, 763.1MiB allocated
Compiler: Compiled 50 943 to 3 920 computations (92.3% saved)

prune133.0ms (1.6%)

Memory

7.8MiB live, 206.3MiB allocated

Pruning

24 alts after pruning (15 fresh and 9 done)

	Pruned	Kept	Total
New	2 234	12	2 246
Fresh	4	3	7
Picked	2	3	5
Done	0	6	6
Total	2 240	24	2 264

Accuracy

100.0%

Counts

2 264 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.3%	(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.im))
	55.7%	(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.re) (.f64 (.f64 x.re (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64))) x.im)) (*.f64 #s(literal 2 binary64) x.im))
	57.6%	(fma.f64 #s(approx (+ x.re x.im) (fma.f64 (/.f64 x.re x.im) x.im x.im)) (.f64 (-.f64 x.re x.im) x.re) (.f64 #s(literal 2 binary64) x.im))
	57.5%	(-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (+.f64 x.im x.im))
	76.9%	(-.f64 (/.f64 (.f64 #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 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	79.1%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x.re x.im) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (-.f64 x.re x.im) x.re)))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
	32.3%	(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))
✓	91.1%	(-.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))
	54.5%	(-.f64 (.f64 #s(approx (- x.re x.im) (neg.f64 x.im)) (.f64 (.f64 (.f64 x.re (-.f64 x.im x.re)) (+.f64 x.re x.im)) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
	89.0%	#s(approx (- (/ (* (* (- x.re 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.im)) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
	73.9%	#s(approx (- (/ (* (* (- x.re 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.im)) (.f64 (.f64 x.re (fma.f64 x.re (/.f64 (/.f64 x.re x.im) x.im) #s(literal -3 binary64))) (*.f64 x.im x.im)))
✓	75.9%	#s(approx (- (/ (* (* (- x.re 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.im)) (.f64 (.f64 x.re (+.f64 (/.f64 (.f64 (/.f64 x.re x.im) x.re) x.im) #s(literal -3 binary64))) (.f64 x.im x.im)))
	61.0%	#s(approx (- (/ (* (* (- x.re 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.im)) (.f64 (.f64 x.re (+.f64 (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal -3 binary64))) (*.f64 x.im x.im)))
✓	58.8%	#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)))
	55.5%	#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.re) x.im) x.im))
✓	58.7%	#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))
✓	55.5%	#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.im) (*.f64 #s(literal -3 binary64) x.im)))
✓	48.3%	#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.im x.im) (*.f64 x.re #s(literal -3 binary64))))
✓	55.4%	#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))))
✓	55.4%	#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)))
✓	48.2%	#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)))
	18.1%	#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.re #s(literal 2 binary64)) x.im))
	32.1%	#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* 2 x.im)) (.f64 (.f64 (neg.f64 x.im) x.im) x.re))
	3.0%	#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* 2 x.im)) (*.f64 x.im #s(literal 2 binary64)))

Compiler

Compiled 964 to 385 computations (60.1% saved)

regimes41.0ms (0.5%)

Memory

16.4MiB live, 92.5MiB allocated

Counts

40 → 2

Calls

Call 1

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

Calls

3 calls:

15.0ms	x.re
13.0ms	x.im
10.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
99.7%	2	`x.re`
96.2%	2	`x.im`
99.7%	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)

regimes14.0ms (0.2%)

Memory

-4.6MiB live, 32.3MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

8.0ms	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
98.5%	3	`x.re`
99.7%	3	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes5.0ms (0.1%)

Memory

14.2MiB live, 14.1MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

1 calls:

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
99.4%	3	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes15.0ms (0.2%)

Memory

4.6MiB live, 42.6MiB allocated

Counts

12 → 2

Calls

Call 1

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

Calls

3 calls:

6.0ms	x.re
4.0ms	x.im
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
84.4%	2	`x.im`
79.8%	2	`x.re`
95.9%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes3.0ms (0%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
95.8%	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 19 to 11 computations (42.1% saved)

regimes5.0ms (0.1%)

Memory

-25.8MiB live, 8.4MiB allocated

Counts

5 → 2

Calls

Call 1

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

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
88.6%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes7.0ms (0.1%)

Memory

24.3MiB live, 24.3MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

3 calls:

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

Results

Accuracy	Segments	Branch
63.0%	2	`x.re`
69.7%	2	`x.im`
72.4%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes10.0ms (0.1%)

Memory

-26.9MiB live, 20.3MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

6.0ms	x.im
2.0ms	x.re
1.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
58.7%	1	`x.re`
58.7%	1	`x.im`
58.7%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes4.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
3.0%	1	`x.re`
3.0%	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))`
3.0%	1	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2866257197300457e-24	1.633277635445342e-15

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2866257197300457e-24	1.633277635445342e-15
0.0ms	-1.4672241024999793e+274	-2.8458043821869836e+254

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2866257197300457e-24	1.633277635445342e-15
0.0ms	-1.088061589634e-312	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.088061589634e-312	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.088061589634e-312	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.088061589634e-312	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.088061589634e-312	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify36.0ms (0.4%)

Memory

-12.0MiB live, 66.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	603
1	113	603
2	146	603
3	173	603
4	187	603
5	191	603

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 5444517870735015/2722258935367507707706996859454145691648 binary64)) (-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re) (+.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 -9999999999999999213782878444176341486712719163258207029349796604673073768736360688744211624391338142173265718425108901184740478000812045911233791501695173449709921389782217629235579129702792695009666351450002856415308090320884466574359759805482716570229159677380024223137792 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (.f64 #s(literal -3 binary64) x.re) x.im))) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 5444517870735015/2722258935367507707706996859454145691648 binary64)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re)) x.re)) (fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (+.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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (.f64 #s(literal -3 binary64) x.re) x.im))) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 5444517870735015/2722258935367507707706996859454145691648 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)) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re) (+.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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (.f64 #s(literal -3 binary64) 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 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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* 2 x.im)) (.f64 (.f64 (neg.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))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* 2 x.im)) (*.f64 x.im #s(literal 2 binary64)))

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 5444517870735015/2722258935367507707706996859454145691648 binary64)) (-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re) (+.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 5444517870735015/2722258935367507707706996859454145691648 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) (*.f64 (-.f64 x.re x.im) x.re) (+.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 -9999999999999999213782878444176341486712719163258207029349796604673073768736360688744211624391338142173265718425108901184740478000812045911233791501695173449709921389782217629235579129702792695009666351450002856415308090320884466574359759805482716570229159677380024223137792 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (.f64 #s(literal -3 binary64) x.re) x.im))) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 5444517870735015/2722258935367507707706996859454145691648 binary64)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re)) x.re)) (fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (+.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 -9999999999999999213782878444176341486712719163258207029349796604673073768736360688744211624391338142173265718425108901184740478000812045911233791501695173449709921389782217629235579129702792695009666351450002856415308090320884466574359759805482716570229159677380024223137792 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.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.im x.re) (.f64 x.im x.re)) x.im)) #s(literal 5444517870735015/2722258935367507707706996859454145691648 binary64)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re)) x.re)) (fma.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re) (+.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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (.f64 #s(literal -3 binary64) x.re) x.im))) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 5444517870735015/2722258935367507707706996859454145691648 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)) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re) (+.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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.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.im x.re) (.f64 x.im x.re)) x.im)) #s(literal 5444517870735015/2722258935367507707706996859454145691648 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)) (fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re) (+.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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (.f64 #s(literal -3 binary64) 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 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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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)))
(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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* 2 x.im)) (.f64 (.f64 (neg.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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* 2 x.im)) (.f64 (.f64 (neg.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))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* 2 x.im)) (*.f64 x.im #s(literal 2 binary64)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* 2 x.im)) (*.f64 #s(literal 2 binary64) x.im))

soundness1.4s (17.1%)

Memory

-42.4MiB live, 911.6MiB allocated

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	52	263
0	80	262
1	329	185
2	2446	185
0	8141	185
0	37	212
0	55	212
1	194	184
0	1162	179
0	248	4962
1	813	4200
2	2604	3793
0	8311	3667
0	40	229
0	63	193
1	241	167
2	1690	167
0	8918	162
0	11	54
0	20	54
1	83	42
0	572	41

Stop Event

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

Compiler

Compiled 1 092 to 467 computations (57.2% saved)

preprocess136.0ms (1.7%)

Memory: 10.4MiB live, 366.7MiB allocated
Compiler: Compiled 1 370 to 390 computations (71.5% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample1.2s (14.2%)

explain211.0ms (2.6%)

preprocess310.0ms (3.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify191.0ms (2.3%)

localize76.0ms (0.9%)

series15.0ms (0.2%)

simplify121.0ms (1.5%)

rewrite43.0ms (0.5%)

eval24.0ms (0.3%)

prune19.0ms (0.2%)

simplify170.0ms (2.1%)

localize66.0ms (0.8%)

series98.0ms (1.2%)

simplify302.0ms (3.7%)

rewrite76.0ms (0.9%)

eval175.0ms (2.1%)

prune148.0ms (1.8%)

simplify245.0ms (3%)

localize155.0ms (1.9%)

series102.0ms (1.2%)

simplify287.0ms (3.5%)

rewrite452.0ms (5.5%)

eval553.0ms (6.7%)

prune121.0ms (1.5%)

simplify157.0ms (1.9%)

localize136.0ms (1.7%)

series38.0ms (0.5%)

simplify274.0ms (3.3%)

rewrite242.0ms (2.9%)

eval431.0ms (5.2%)

prune133.0ms (1.6%)

regimes41.0ms (0.5%)

regimes14.0ms (0.2%)

regimes5.0ms (0.1%)

regimes15.0ms (0.2%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes10.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify36.0ms (0.4%)

soundness1.4s (17.1%)

preprocess136.0ms (1.7%)

end0.0ms (0%)

Profiling