Metrics for math.cube on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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 (12.9%)

Memory

36.7MiB live, 1 414.2MiB allocated

Samples

889.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 676.0ms

ival-mult: 499.0ms (73.9% of total)

ival-sub: 99.0ms (14.7% of total)

ival-add: 68.0ms (10.1% of total)

ival-true: 6.0ms (0.9% of total)

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

Bogosity

explain175.0ms (1.8%)

Memory

16.2MiB live, 250.6MiB 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.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
18	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
13	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`
0	-	-	`(*.f64 x.re x.im)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`
0	-	-	`x.re`
0	-	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`	nan-rescue	22	0
↳	`(*.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.re) (*.f64 x.im x.im)) x.im)`	overflow	116
↳	`(*.f64 x.im x.re)`	overflow	35
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`	overflow	65
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	35
↳	`(*.f64 x.re x.im)`	overflow	35
`-.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
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	*no**	13	0

Confusion

	Predicted +	Predicted -
+	44	0
-	0	212

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	44	0	0
-	0	0	212

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	212
1	35
2	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

43.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 19.0ms (73.7% of total)

ival-add: 4.0ms (15.5% of total)

ival-sub: 2.0ms (7.8% of total)

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

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

preprocess405.0ms (4.2%)

Memory

-36.9MiB live, 189.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	107
1	99	89
2	292	85
3	1259	57
4	3111	55
5	5133	55
6	6048	55
7	6433	55
8	6553	55
9	6657	55
10	6664	55
11	7747	55
0	11	19
0	20	19
1	34	17
2	65	17
3	151	11
4	358	11
5	1010	11
6	1929	11
7	4829	11
8	7194	11
0	8107	11

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x.re)

(negabs x.im)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.0%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify245.0ms (2.5%)

Memory

7.8MiB live, 163.7MiB 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.im)
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: 3 (0.0ms)

Iter	Nodes	Cost
0	11	65
0	20	65
1	34	59
2	65	59
3	151	53
4	358	53
5	1010	53
6	1929	53
7	4829	53
8	7194	53
0	8107	53

Stop Event

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

Calls

Call 1

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

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

localize82.0ms (0.8%)

Memory

12.0MiB live, 49.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	3.094775164616368	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy	4.050762672471853	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	5.5858920882645275	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Samples

74.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

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

ival-mult: 9.0ms (74.9% of total)

ival-add: 2.0ms (16.7% of total)

ival-sub: 1.0ms (8.3% of total)

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

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

series65.0ms (0.7%)

Memory

-9.3MiB live, 30.0MiB 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.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<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.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<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 (* x.im (pow x.re 2)) (taylor 0 x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2))) (taylor 0 x.im) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2)))) (taylor 0 x.im) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) 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 (* 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 3)) (taylor inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor inf x.im) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) (taylor inf x.im) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) (taylor inf x.im) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1)) (taylor inf x.im) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) 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 (* 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 3)) (taylor -inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) (taylor -inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) (taylor -inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))) (taylor -inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 3)) (taylor -inf x.im) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) (taylor -inf x.im) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) (taylor -inf x.im) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2))))))) (taylor -inf x.im) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) 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 (* 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 3)) (taylor 0 x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) (taylor 0 x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) (taylor 0 x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2))) (taylor 0 x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<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 (* -1 (pow x.im 3)) (taylor 0 x.re) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (taylor 0 x.re) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (taylor 0 x.re) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (taylor 0 x.re) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor 0 x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) 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 (* 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 (* x.im (pow x.re 2)) (taylor inf x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) (taylor inf x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) (taylor inf x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) (taylor inf x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<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 2) (+ x.im (* 2 x.im))) (taylor inf x.re) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor inf x.re) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor inf x.re) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor inf x.re) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) 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 (* 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 (* x.im (pow x.re 2)) (taylor -inf x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #<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 2) (+ x.im (* 2 x.im))) (taylor -inf x.re) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor -inf x.re) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor -inf x.re) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))) (taylor -inf x.re) (#s(alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im (pow x.re 2))) (taylor -inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify307.0ms (3.2%)

Memory

-15.6MiB live, 101.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	909
1	182	891
2	585	891
3	2559	891
4	6916	891
0	8750	891

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

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

rewrite87.0ms (0.9%)

Memory

2.8MiB live, 78.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	54
0	20	54
1	79	42
0	536	41

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

6 → 81

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

Outputs
#<batchref>
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eval19.0ms (0.2%)

Memory: 27.9MiB live, 27.9MiB allocated
Compiler: Compiled 4 344 to 318 computations (92.7% saved)

prune131.0ms (1.3%)

Memory

-26.3MiB live, 29.3MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	205	8	213
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	206	8	214

Accuracy

100.0%

Counts

214 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.6%	(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	83.0%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
▶	91.2%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	64.8%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	51.3%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	88.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))
▶	51.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
	58.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))

Compiler

Compiled 240 to 158 computations (34.2% saved)

simplify327.0ms (3.4%)

Memory

-9.1MiB live, 147.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im)
cost-diff	0	(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.im x.im (.f64 x.re x.re)))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	448	(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
cost-diff	128	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	704	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
cost-diff	0	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
cost-diff	0	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
cost-diff	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.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(.f64 (.f64 x.re x.re) x.im)
cost-diff	0	(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
cost-diff	0	(+.f64 x.im x.re)
cost-diff	0	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	704	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	336
0	70	316
1	111	316
2	182	316
3	397	294
4	957	294
5	2213	294
6	4957	294
7	7800	294
0	8043	292

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

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

localize189.0ms (2%)

Memory

20.5MiB live, 95.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.9861384025336001	(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im)
accuracy	5.5858920882645275	(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy	8.535117030773913	(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
accuracy	36.075879896598366	(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.im x.im (.f64 x.re x.re)))
accuracy	0.10546875	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy	3.094775164616368	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy	4.050762672471853	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	5.5858920882645275	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
accuracy	0.10546875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	3.094775164616368	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
accuracy	5.5858920882645275	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
accuracy	29.43737570773318	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
accuracy	0	(*.f64 x.re x.re)
accuracy	0.1796875	(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
accuracy	6.93079171998385	(.f64 (.f64 x.re x.re) x.im)
accuracy	28.090007627841683	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
accuracy	0.0078125	(*.f64 (-.f64 x.re x.im) x.im)
accuracy	0.07421875	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
accuracy	0.10546875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	5.5858920882645275	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Samples

163.0ms

256×

valid

Compiler

Compiled 321 to 33 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-mult: 65.0ms (45.2% of total)

ival-sub: 63.0ms (43.8% of total)

ival-add: 8.0ms (5.6% of total)

ival-pow: 5.0ms (3.5% of total)

ival-div: 2.0ms (1.4% of total)

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

exact: 0.0ms (0% of total)

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

series78.0ms (0.8%)

Memory

-20.3MiB live, 60.9MiB allocated

Counts

21 → 492

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	x.im	@	-inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (* (* x.re (+ x.im x.im)) x.re) (- (pow x.re 4) (pow x.im 4)))
5.0ms	x.re	@	inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (* (* x.re (+ x.im x.im)) x.re) (- (pow x.re 4) (pow x.im 4)))
4.0ms	x.im	@	inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (* (* x.re (+ x.im x.im)) x.re) (- (pow x.re 4) (pow x.im 4)))
3.0ms	x.re	@	-inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (* (* x.re (+ x.im x.im)) x.re) (- (pow x.re 4) (pow x.im 4)))
3.0ms	x.im	@	0	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (* (* x.re (+ x.im x.im)) x.re) (- (pow x.re 4) (pow x.im 4)))

simplify276.0ms (2.8%)

Memory

2.8MiB live, 194.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	5754
1	688	4854
2	2206	4212
0	8378	4136

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 486

Calls

Call 1

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

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

rewrite507.0ms (5.2%)

Memory

60.1MiB live, 659.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	239
0	70	209
1	262	183
2	1629	183
0	8710	178

Stop Event

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

Counts

21 → 2 392

Calls

Call 1

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

Outputs
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eval728.0ms (7.5%)

Memory: 14.9MiB live, 1 047.6MiB allocated
Compiler: Compiled 115 723 to 4 165 computations (96.4% saved)

prune140.0ms (1.4%)

Memory

12.8MiB live, 326.0MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	3 370	12	3 382
Fresh	3	0	3
Picked	4	1	5
Done	0	0	0
Total	3 377	13	3 390

Accuracy

100.0%

Counts

3 390 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.1%	(fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im))
▶	91.6%	(fma.f64 (.f64 x.re x.re) (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
▶	21.3%	(fma.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im (.f64 #s(literal 2 binary64) x.im))
	69.1%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
	88.0%	#s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
	56.0%	#s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
	58.3%	#s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
✓	51.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
▶	56.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
	51.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
▶	51.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
	56.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
▶	56.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))

Compiler

Compiled 260 to 201 computations (22.7% saved)

simplify171.0ms (1.8%)

Memory

-32.9MiB live, 235.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 2 binary64) x.im)
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
cost-diff	192	(fma.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im (.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 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
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.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
cost-diff	0	(.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))
cost-diff	0	(*.f64 #s(literal 2 binary64) x.im)
cost-diff	0	(*.f64 x.re x.re)
cost-diff	576	(fma.f64 (.f64 x.re x.re) (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	216
0	49	215
1	93	209
2	174	202
3	316	186
4	752	186
5	1889	186
6	4815	186
7	7637	186
0	8196	186

Stop Event

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

Calls

Call 1

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

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

localize76.0ms (0.8%)

Memory

13.1MiB live, 204.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x.re x.re)
accuracy	0	(*.f64 #s(literal 2 binary64) x.im)
accuracy	3.075243914616368	(fma.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im (.f64 #s(literal 2 binary64) x.im))
accuracy	29.43737570773318	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
accuracy	0	(*.f64 x.re x.im)
accuracy	0.10546875	(.f64 (.f64 x.re x.im) x.re)
accuracy	0.1796875	(.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
accuracy	28.090007627841683	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
accuracy	0	(*.f64 x.re x.re)
accuracy	0.1484375	(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
accuracy	6.9161719731671045	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)
accuracy	28.090007627841683	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
accuracy	0	(*.f64 x.re x.im)
accuracy	0.12890625	(.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))
accuracy	0.2109375	(.f64 (.f64 x.re x.im) #s(literal 3 binary64))
accuracy	28.090007627841683	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
accuracy	0	(*.f64 #s(literal 2 binary64) x.im)
accuracy	0.015625	(*.f64 (+.f64 x.re x.im) x.im)
accuracy	0.08203125	(.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))
accuracy	5.328447407582425	(fma.f64 (.f64 x.re x.re) (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))

Samples

59.0ms

256×

valid

Compiler

Compiled 188 to 29 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 34.0ms (81.6% of total)

ival-add: 5.0ms (12% of total)

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

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.3%)

Memory

-20.5MiB live, 61.5MiB allocated

Counts

17 → 372

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x.im	@	0	((+ (* (* x.re x.re) (* 2 x.im)) (* (* (+ x.re x.im) x.im) (- x.re x.im))) (* x.re x.re) (* 2 x.im) (* (* (+ x.re x.im) x.im) (- x.re x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* (* x.re x.im) 3)) (* (* x.re x.im) 3) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 (* x.re x.re)) x.im) (* 3 (* x.re x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (- (* x.re x.re) (* x.im x.im)) (* (+ x.re x.im) x.im))
2.0ms	x.im	@	-inf	((+ (* (* x.re x.re) (* 2 x.im)) (* (* (+ x.re x.im) x.im) (- x.re x.im))) (* x.re x.re) (* 2 x.im) (* (* (+ x.re x.im) x.im) (- x.re x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* (* x.re x.im) 3)) (* (* x.re x.im) 3) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 (* x.re x.re)) x.im) (* 3 (* x.re x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (- (* x.re x.re) (* x.im x.im)) (* (+ x.re x.im) x.im))
2.0ms	x.im	@	inf	((+ (* (* x.re x.re) (* 2 x.im)) (* (* (+ x.re x.im) x.im) (- x.re x.im))) (* x.re x.re) (* 2 x.im) (* (* (+ x.re x.im) x.im) (- x.re x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* (* x.re x.im) 3)) (* (* x.re x.im) 3) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 (* x.re x.re)) x.im) (* 3 (* x.re x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (- (* x.re x.re) (* x.im x.im)) (* (+ x.re x.im) x.im))
2.0ms	x.re	@	-inf	((+ (* (* x.re x.re) (* 2 x.im)) (* (* (+ x.re x.im) x.im) (- x.re x.im))) (* x.re x.re) (* 2 x.im) (* (* (+ x.re x.im) x.im) (- x.re x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* (* x.re x.im) 3)) (* (* x.re x.im) 3) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 (* x.re x.re)) x.im) (* 3 (* x.re x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (- (* x.re x.re) (* x.im x.im)) (* (+ x.re x.im) x.im))
2.0ms	x.re	@	inf	((+ (* (* x.re x.re) (* 2 x.im)) (* (* (+ x.re x.im) x.im) (- x.re x.im))) (* x.re x.re) (* 2 x.im) (* (* (+ x.re x.im) x.im) (- x.re x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* (* x.re x.im) 3)) (* (* x.re x.im) 3) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 (* x.re x.re)) x.im) (* 3 (* x.re x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (- (* x.re x.re) (* x.im x.im)) (* (+ x.re x.im) x.im))

simplify162.0ms (1.7%)

Memory

-13.2MiB live, 309.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	3861
1	583	3313
2	1946	2901
3	7185	2898
0	8074	2838

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

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

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

rewrite104.0ms (1.1%)

Memory

29.5MiB live, 108.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	183
0	49	182
1	172	170
0	1216	167

Stop Event

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

Counts

17 → 145

Calls

Call 1

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

Outputs
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#<batchref>

eval69.0ms (0.7%)

Memory: 14.4MiB live, 165.4MiB allocated
Compiler: Compiled 7 771 to 482 computations (93.8% saved)

prune57.0ms (0.6%)

Memory

-26.4MiB live, 133.6MiB allocated

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	584	5	589
Fresh	4	3	7
Picked	1	4	5
Done	0	1	1
Total	589	13	602

Accuracy

100.0%

Counts

602 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.6%	(fma.f64 (.f64 x.re x.re) (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
	69.1%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
▶	88.0%	#s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
▶	58.3%	#s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
✓	51.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
✓	56.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
	56.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
✓	51.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
✓	56.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
▶	56.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im))
▶	40.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) x.im))
	21.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
▶	34.7%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))

Compiler

Compiled 210 to 164 computations (21.9% saved)

simplify454.0ms (4.7%)

Memory

-8.3MiB live, 201.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	229
0	55	223
1	99	216
2	171	216
3	339	212
4	752	212
5	1886	212
6	3622	212
7	5454	212
8	7679	212
0	8171	208

Stop Event

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

Calls

Call 1

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

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

localize210.0ms (2.2%)

Memory

4.2MiB live, 209.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 x.im #s(literal 3 binary64))
accuracy	0	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
accuracy	26.66937179203671	#s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
accuracy	0	(neg.f64 x.im)
accuracy	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im))
accuracy	2.249975228450042	(fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64)))
accuracy	3.079150164616368	(*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im)
accuracy	0	(fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64))
accuracy	0	(neg.f64 x.im)
accuracy	0.03515625	(*.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) x.im)
accuracy	23.041378205043866	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) x.im))
accuracy	0	(*.f64 x.re x.re)
accuracy	6.93079171998385	(.f64 (.f64 x.re x.re) x.im)
accuracy	39.494338568066375	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))
accuracy	0	(neg.f64 x.im)
accuracy	0	#s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
accuracy	3.1175284851105722	(.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
accuracy	4.121075172471853	(fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))

Samples

134.0ms

256×

valid

Compiler

Compiled 198 to 37 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-mult: 86.0ms (72.5% of total)

ival-pow: 18.0ms (15.2% of total)

ival-add: 8.0ms (6.7% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.5%)

Memory

-0.9MiB live, 73.3MiB allocated

Counts

16 → 312

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x.im	@	inf	((+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) x.im) (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (* (* x.re x.re) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (* (+ (* (neg x.im) x.im) 2) x.im) (+ (* (neg x.im) x.im) 2) (neg x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (* (+ (* (neg x.im) x.im) (+ (* x.re x.re) 2)) x.im) (+ (* (neg x.im) x.im) (+ (* x.re x.re) 2)) (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3))
4.0ms	x.im	@	-inf	((+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) x.im) (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (* (* x.re x.re) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (* (+ (* (neg x.im) x.im) 2) x.im) (+ (* (neg x.im) x.im) 2) (neg x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (* (+ (* (neg x.im) x.im) (+ (* x.re x.re) 2)) x.im) (+ (* (neg x.im) x.im) (+ (* x.re x.re) 2)) (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3))
3.0ms	x.im	@	0	((+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) x.im) (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (* (* x.re x.re) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (* (+ (* (neg x.im) x.im) 2) x.im) (+ (* (neg x.im) x.im) 2) (neg x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (* (+ (* (neg x.im) x.im) (+ (* x.re x.re) 2)) x.im) (+ (* (neg x.im) x.im) (+ (* x.re x.re) 2)) (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3))
2.0ms	x.re	@	inf	((+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) x.im) (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (* (* x.re x.re) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (* (+ (* (neg x.im) x.im) 2) x.im) (+ (* (neg x.im) x.im) 2) (neg x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (* (+ (* (neg x.im) x.im) (+ (* x.re x.re) 2)) x.im) (+ (* (neg x.im) x.im) (+ (* x.re x.re) 2)) (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3))
2.0ms	x.re	@	-inf	((+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) x.im) (+ (* 3 (* x.re x.re)) (* (neg x.im) x.im)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (* (* x.re x.re) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (* (+ (* (neg x.im) x.im) 2) x.im) (+ (* (neg x.im) x.im) 2) (neg x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (* (+ (* (neg x.im) x.im) (+ (* x.re x.re) 2)) x.im) (+ (* (neg x.im) x.im) (+ (* x.re x.re) 2)) (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3))

simplify236.0ms (2.4%)

Memory

-12.8MiB live, 185.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	2871
1	365	2740
2	1095	2740
3	4730	2620
0	8397	2495

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

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

rewrite479.0ms (4.9%)

Memory

-13.4MiB live, 291.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	202
0	55	196
1	244	169
2	1816	169
0	8196	167

Stop Event

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

Counts

16 → 327

Calls

Call 1

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

Outputs
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eval81.0ms (0.8%)

Memory: 5.3MiB live, 198.4MiB allocated
Compiler: Compiled 11 082 to 1 406 computations (87.3% saved)

prune39.0ms (0.4%)

Memory

-5.1MiB live, 119.1MiB allocated

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	697	6	703
Fresh	0	3	3
Picked	2	3	5
Done	1	4	5
Total	700	16	716

Accuracy

100.0%

Counts

716 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.1%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
	83.0%	#s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 (neg.f64 x.im) x.im) x.im (.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) x.im)))
✓	88.0%	#s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
	58.3%	#s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
✓	58.3%	#s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
✓	51.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
✓	56.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
	56.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
✓	51.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
✓	56.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
	59.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	56.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64))) x.im))
	21.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
✓	34.7%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))
	35.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (.f64 (.f64 x.im x.re) x.re))
	3.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (.f64 #s(approx (+ ( (neg x.im) x.im) 2) #s(literal 2 binary64)) x.im))

Compiler

Compiled 507 to 234 computations (53.8% saved)

regimes53.0ms (0.5%)

Memory

22.5MiB live, 106.2MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

32.0ms	x.re
10.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
9.0ms	x.im

Results

Accuracy	Segments	Branch
96.4%	2	`x.re`
99.8%	2	`x.im`
99.8%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes43.0ms (0.4%)

Memory

-10.0MiB live, 29.2MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

33.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
8.0ms	x.im

Results

Accuracy	Segments	Branch
99.2%	3	`x.im`
99.9%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes31.0ms (0.3%)

Memory

-25.4MiB live, 14.3MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
99.9%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes7.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

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

Results

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes6.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

#s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))

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

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

Calls

1 calls:

5.0ms

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

Results

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes34.0ms (0.4%)

Memory

-12.5MiB live, 27.0MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

#s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))

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

#s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))

Calls

3 calls:

24.0ms	x.im
5.0ms	x.re
4.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
81.5%	2	`x.re`
82.0%	2	`x.im`
95.9%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes4.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

#s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))

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

#s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
95.9%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes8.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

#s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))

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

#s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))

Calls

3 calls:

3.0ms	x.im
3.0ms	x.re
2.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
72.3%	2	`x.re`
63.8%	2	`x.im`
75.2%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes28.0ms (0.3%)

Memory

-27.3MiB live, 13.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
35.3%	1	`x.im`
35.3%	1	`x.re`
35.3%	1	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes4.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
3.2%	1	`x.re`
3.2%	1	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
3.2%	1	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	7.03289378145796e+188	7.367191326410485e+209

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.0477978589382816e-30	3.6431925683007615e-9

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.0477978589382816e-30	3.6431925683007615e-9

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.085144063418719e-308	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.085144063418719e-308	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.085144063418719e-308	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.085144063418719e-308	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify69.0ms (0.7%)

Memory

-24.5MiB live, 54.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	1019
1	126	1019
2	142	1019
3	156	1019
4	162	1019
5	164	1019

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)) x.im)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 1000000000000000023093091302697871548929838224851699275430564578154842189679457688865761796867950761110782385438258574196599190113135873506876029716653690185712031431446635648758966669803520 binary64)) (fma.f64 (.f64 x.re x.re) (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (.f64 x.re x.im) #s(literal 3 binary64)))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 (neg.f64 x.im) x.im) x.im (.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) x.im))) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 x.re x.im) x.re) #s(literal 3 binary64))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im)) (neg.f64 x.im))) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 x.re x.im) x.re) #s(literal 3 binary64))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 x.re x.im) x.re) #s(literal 3 binary64))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 x.re x.im) x.re) #s(literal 3 binary64))) #s(approx (+ (/ ( (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (.f64 x.re x.im) #s(literal 3 binary64)))) #s(approx (+ (/ ( (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (.f64 (.f64 x.im x.re) x.re)) #s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (.f64 (.f64 x.im x.re) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (.f64 #s(approx (+ ( (neg x.im) x.im) 2) #s(literal 2 binary64)) x.im))

Outputs
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)) x.im)))
(if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.re)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)) x.im)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 1000000000000000023093091302697871548929838224851699275430564578154842189679457688865761796867950761110782385438258574196599190113135873506876029716653690185712031431446635648758966669803520 binary64)) (fma.f64 (.f64 x.re x.re) (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (.f64 x.re x.im) #s(literal 3 binary64)))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)) x.im))))
(if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal 1000000000000000023093091302697871548929838224851699275430564578154842189679457688865761796867950761110782385438258574196599190113135873506876029716653690185712031431446635648758966669803520 binary64)) (fma.f64 (.f64 x.re x.re) (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im))) (if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (.f64 x.im x.re)) x.re)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)) x.im))))
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(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im)) (neg.f64 x.im))) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 x.re x.im) x.re) #s(literal 3 binary64))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)) x.im))))
(if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal 178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im)) (neg.f64 x.im))) (if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 x.im x.re) x.re) #s(literal 3 binary64))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 x.re x.im) x.re) #s(literal 3 binary64))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)) x.im))))
(if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 x.im x.re) x.re) #s(literal 3 binary64))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 x.re x.im) x.re) #s(literal 3 binary64))) #s(approx (+ (/ ( (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))))
(if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 x.im x.re) x.re) #s(literal 3 binary64))) #s(approx (+ (/ ( (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (.f64 x.re x.im) #s(literal 3 binary64)))) #s(approx (+ (/ ( (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))))
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#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (.f64 (.f64 x.im x.re) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* 2 x.im)) (.f64 #s(approx (+ ( (neg x.im) x.im) 2) #s(literal 2 binary64)) x.im))

soundness2.1s (21.2%)

Memory

42.6MiB live, 1 232.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	909
1	182	891
2	585	891
3	2559	891
4	6916	891
0	8750	891
0	11	54
0	20	54
1	79	42
0	536	41
0	40	202
0	55	196
1	244	169
2	1816	169
0	8196	167
0	43	239
0	70	209
1	262	183
2	1629	183
0	8710	178
0	117	2871
1	365	2740
2	1095	2740
3	4730	2620
0	8397	2495
0	203	5754
1	688	4854
2	2206	4212
0	8378	4136
0	167	3861
1	583	3313
2	1946	2901
3	7185	2898
0	8074	2838

Stop Event

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

Compiler

Compiled 1 314 to 513 computations (61% saved)

preprocess126.0ms (1.3%)

Memory: -2.3MiB live, 229.8MiB allocated
Compiler: Compiled 1 508 to 298 computations (80.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (12.9%)

explain175.0ms (1.8%)

preprocess405.0ms (4.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify245.0ms (2.5%)

localize82.0ms (0.8%)

series65.0ms (0.7%)

simplify307.0ms (3.2%)

rewrite87.0ms (0.9%)

eval19.0ms (0.2%)

prune131.0ms (1.3%)

simplify327.0ms (3.4%)

localize189.0ms (2%)

series78.0ms (0.8%)

simplify276.0ms (2.8%)

rewrite507.0ms (5.2%)

eval728.0ms (7.5%)

prune140.0ms (1.4%)

simplify171.0ms (1.8%)

localize76.0ms (0.8%)

series33.0ms (0.3%)

simplify162.0ms (1.7%)

rewrite104.0ms (1.1%)

eval69.0ms (0.7%)

prune57.0ms (0.6%)

simplify454.0ms (4.7%)

localize210.0ms (2.2%)

series47.0ms (0.5%)

simplify236.0ms (2.4%)

rewrite479.0ms (4.9%)

eval81.0ms (0.8%)

prune39.0ms (0.4%)

regimes53.0ms (0.5%)

regimes43.0ms (0.4%)

regimes31.0ms (0.3%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes34.0ms (0.4%)

regimes4.0ms (0%)

regimes8.0ms (0.1%)

regimes28.0ms (0.3%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify69.0ms (0.7%)

soundness2.1s (21.2%)

preprocess126.0ms (1.3%)

end0.0ms (0%)

Profiling