Metrics for math.cube on complex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

sample1.8s (23.9%)

Memory

-6.6MiB live, 1 017.9MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 732.0ms (66.9% of total)

ival-sub: 202.0ms (18.5% of total)

ival-add: 150.0ms (13.7% of total)

ival-true: 6.0ms (0.5% of total)

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

Bogosity

explain350.0ms (4.5%)

Memory

-11.1MiB live, 240.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
22	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
20	-	-	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
16	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
0	-	-	`(*.f64 x.re x.im)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`
0	-	-	`x.re`
0	-	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	22	0
`-.f64`	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`	nan-rescue	20	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	98
↳	`(*.f64 x.re x.re)`	overflow	54
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	104
↳	`(*.f64 x.im x.im)`	overflow	66
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	53
↳	`(*.f64 x.im x.re)`	overflow	32
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	32
↳	`(*.f64 x.re x.im)`	overflow	32
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	16	0
↳	`(*.f64 x.re x.re)`	overflow	54
↳	`(*.f64 x.im x.im)`	overflow	66

Confusion

	Predicted +	Predicted -
+	46	0
-	0	210

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	46	0	0
-	0	0	210

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	210
1	34
2	12

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

97.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 18.0ms (70.6% of total)

ival-sub: 4.0ms (15.7% of total)

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

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

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

preprocess369.0ms (4.8%)

Memory

31.4MiB live, 229.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	107
1	106	89
2	324	85
3	1294	55
4	3711	55
5	5643	55
6	6680	55
7	7003	55
8	7258	55
9	7353	55
10	7370	55
0	11	19
0	20	19
1	38	17
2	84	17
3	240	11
4	676	11
5	2155	11
6	4296	11
7	6270	11
8	7337	11
9	7658	11
10	7697	11
11	7697	11
0	8216	10

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x.im)

(negabs x.re)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.5%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify220.0ms (2.8%)

Memory

-10.4MiB live, 219.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	7	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	65
0	20	65
1	38	59
2	84	59
3	240	53
4	676	53
5	2155	53
6	4296	53
7	6270	53
8	7337	53
9	7658	53
10	7697	53
11	7697	53
0	8216	52

Stop Event

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

Calls

Call 1

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

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

localize29.0ms (0.4%)

Memory

16.4MiB live, 54.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	3.3945229933208236	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	4.039062500000001	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
accuracy	5.222635190304869	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)

Samples

21.0ms

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 (74.5% of total)

ival-sub: 2.0ms (16.6% of total)

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

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

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

series74.0ms (1%)

Memory

-21.6MiB live, 100.4MiB allocated

Counts

5 → 22

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
64.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
3.0ms	x.re	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.re	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms	x.im	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms	x.im	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify108.0ms (1.4%)

Memory

22.2MiB live, 179.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	190
1	169	170
2	543	170
3	2202	170
4	6104	170
0	8203	165

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

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

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

rewrite57.0ms (0.7%)

Memory

-28.1MiB live, 92.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
0	20	51
1	83	39
0	576	38

Stop Event

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

Counts

5 → 92

Calls

Call 1

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

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

eval8.0ms (0.1%)

Memory: 21.8MiB live, 21.8MiB allocated
Compiler: Compiled 2 560 to 337 computations (86.8% saved)

prune8.0ms (0.1%)

Memory

-21.1MiB live, 18.2MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	92	10	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	10	103

Accuracy

99.9%

Counts

103 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.5%	(-.f64 (/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (fma.f64 (.f64 x.im x.im) (fma.f64 x.im x.im (.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	39.5%	(-.f64 (.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (.f64 x.re x.re))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	52.7%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (neg.f64 (.f64 x.im x.re)) (neg.f64 (.f64 x.im x.re))) x.im))
	82.5%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
	39.1%	(-.f64 (.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (.f64 x.re x.re)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	92.0%	(-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	50.5%	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	62.8%	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	57.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
▶	58.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))

Compiler

Compiled 482 to 280 computations (41.9% saved)

simplify255.0ms (3.3%)

Memory

35.3MiB live, 310.2MiB 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))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
cost-diff	0	(.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (.f64 x.re x.re))) x.re)
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	3	(-.f64 (.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (.f64 x.re x.re))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
cost-diff	4	(+.f64 (neg.f64 (.f64 x.im x.re)) (neg.f64 (.f64 x.im x.re)))
cost-diff	9	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (neg.f64 (.f64 x.im x.re)) (neg.f64 (.f64 x.im x.re))) x.im))
cost-diff	0	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))
cost-diff	0	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re)
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	3	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
cost-diff	0	(*.f64 x.im x.re)
cost-diff	0	(.f64 (.f64 x.im x.re) x.im)
cost-diff	0	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
cost-diff	0	(*.f64 x.re (+.f64 x.im x.re))
cost-diff	0	(.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	7	(-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	363
0	74	350
1	141	331
2	273	331
3	892	307
4	3026	306
5	6286	306
0	8039	302

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (1.4%)

Memory

0.7MiB live, 157.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.039062500000001	(-.f64 (.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (.f64 x.re x.re))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy	5.222635190304869	(.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (.f64 x.re x.re))) x.re)
accuracy	7.539031537453088	(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
accuracy	43.34627631599842	(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
accuracy	0.13671875	(.f64 (+.f64 (neg.f64 (.f64 x.im x.re)) (neg.f64 (*.f64 x.im x.re))) x.im)
accuracy	3.3945229933208236	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	5.222635190304869	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy	6.589843750000001	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (neg.f64 (.f64 x.im x.re)) (neg.f64 (.f64 x.im x.re))) x.im))
accuracy	0.13671875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	4.039062500000001	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
accuracy	5.222635190304869	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re)
accuracy	28.593813351446464	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.1328125	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im))
accuracy	0.13671875	(.f64 (.f64 x.im x.re) x.im)
accuracy	26.49112538689664	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
accuracy	0.0078125	(*.f64 x.re (+.f64 x.im x.re))
accuracy	0.12109375	(.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
accuracy	0.13671875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	4.039062500000001	(-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

Samples

81.0ms

256×

valid

Compiler

Compiled 346 to 35 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 23.0ms (44.8% of total)

ival-pow: 12.0ms (23.4% of total)

ival-sub: 7.0ms (13.6% of total)

ival-add: 5.0ms (9.7% of total)

ival-neg: 2.0ms (3.9% of total)

ival-div: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series35.0ms (0.5%)

Memory

-21.3MiB live, 55.6MiB allocated

Counts

21 → 68

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x.re	@	0	((- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) 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.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (+ (neg (* x.im x.re)) (neg (* x.im x.re))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im) (- (pow x.re 4) (pow x.im 4)))
6.0ms	x.im	@	inf	((- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) 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.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (+ (neg (* x.im x.re)) (neg (* x.im x.re))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im) (- (pow x.re 4) (pow x.im 4)))
6.0ms	x.im	@	0	((- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) 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.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (+ (neg (* x.im x.re)) (neg (* x.im x.re))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im) (- (pow x.re 4) (pow x.im 4)))
4.0ms	x.re	@	inf	((- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) 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.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (+ (neg (* x.im x.re)) (neg (* x.im x.re))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im) (- (pow x.re 4) (pow x.im 4)))
4.0ms	x.re	@	-inf	((- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) 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.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (+ (neg (* x.im x.re)) (neg (* x.im x.re))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im) (- (pow x.re 4) (pow x.im 4)))

simplify146.0ms (1.9%)

Memory

20.0MiB live, 224.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	897
1	664	692
2	2318	610
3	7250	610
0	8369	589

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 68

Calls

Call 1

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

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

rewrite336.0ms (4.3%)

Memory

-26.7MiB live, 314.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	261
0	74	229
1	295	198
2	1827	198
0	8487	193

Stop Event

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

Counts

21 → 1 841

Calls

Call 1

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

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

eval131.0ms (1.7%)

Memory: 23.3MiB live, 207.3MiB allocated
Compiler: Compiled 41 036 to 3 210 computations (92.2% saved)

prune25.0ms (0.3%)

Memory

-0.8MiB live, 77.8MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	1 123	10	1 133
Fresh	4	1	5
Picked	4	1	5
Done	0	0	0
Total	1 131	12	1 143

Accuracy

100.0%

Counts

1 143 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.3%	(-.f64 (/.f64 (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) (.f64 (+.f64 x.im x.re) x.re)) (+.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	92.0%	(-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
	90.1%	(-.f64 (.f64 #s(approx ( x.re (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.re x.im) x.re x.re) x.im)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	85.5%	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
	57.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
▶	72.1%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
	58.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64))))
▶	58.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im))
✓	58.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
	58.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(approx (* -3 (* (* x.im x.re) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)))
▶	56.9%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) x.re))
▶	24.9%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (.f64 x.im x.im) x.re))

Compiler

Compiled 653 to 366 computations (44% saved)

simplify167.0ms (2.2%)

Memory

4.9MiB live, 163.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))
cost-diff	0	(*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)))
cost-diff	0	(.f64 (.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(fma.f64 x.im x.im (*.f64 x.re x.re))
cost-diff	0	(.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) x.re)
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) x.re))
cost-diff	0	(*.f64 x.im x.re)
cost-diff	0	(.f64 #s(literal -3 binary64) (.f64 x.im x.re))
cost-diff	0	(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im)
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	(.f64 (.f64 x.im x.im) x.re)
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (.f64 x.im x.im) x.re))
cost-diff	0	(+.f64 x.im x.re)
cost-diff	0	(*.f64 x.re (+.f64 x.im x.re))
cost-diff	0	(.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
cost-diff	7	(-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	265
0	63	255
1	145	247
2	328	243
3	921	217
4	2682	217
5	7014	217
0	8143	214

Stop Event

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

Calls

Call 1

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

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

localize124.0ms (1.6%)

Memory

-23.8MiB live, 183.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(/.f64 (/.f64 x.re x.im) x.im)
accuracy	0.6033209249613997	(*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)))
accuracy	2.6180609663069	(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))
accuracy	14.527195949540243	(.f64 (.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))
accuracy	0.0	(*.f64 x.re x.re)
accuracy	0.0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) x.re))
accuracy	0.00390625	(fma.f64 x.im x.im (*.f64 x.re x.re))
accuracy	5.226541440304869	(.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) x.re)
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.125	(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im)
accuracy	0.24609375	(.f64 #s(literal -3 binary64) (.f64 x.im x.re))
accuracy	26.49112538689664	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im))
accuracy	0.0	(*.f64 x.im x.im)
accuracy	8.423744906417543	(.f64 (.f64 x.im x.im) x.re)
accuracy	20.998546360892966	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (.f64 x.im x.im) x.re))
accuracy	0.0078125	(*.f64 x.re (+.f64 x.im x.re))
accuracy	0.12109375	(.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
accuracy	0.13671875	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy	4.039062500000001	(-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))

Samples

87.0ms	234×	0	valid
6.0ms	8×	3	valid
4.0ms	9×	1	valid
2.0ms	4×	2	valid
1.0ms	1×	4	valid

Compiler

Compiled 234 to 37 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 28.0ms (49.2% of total)

ival-sub: 14.0ms (24.6% of total)

ival-add: 7.0ms (12.3% of total)

ival-div: 3.0ms (5.3% of total)

adjust: 3.0ms (5.3% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.4%)

Memory

-5.4MiB live, 33.1MiB allocated

Counts

21 → 82

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	x.im	@	0	((- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.im)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.im x.re)) x.im) (* -3 (* x.im x.re)) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (* (+ (* x.im x.im) (* x.re x.re)) x.re) (+ (* x.im x.im) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (* (* x.re (+ x.im x.im)) x.im) (/ (/ x.re x.im) x.im))
4.0ms	x.re	@	-inf	((- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.im)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.im x.re)) x.im) (* -3 (* x.im x.re)) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (* (+ (* x.im x.im) (* x.re x.re)) x.re) (+ (* x.im x.im) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (* (* x.re (+ x.im x.im)) x.im) (/ (/ x.re x.im) x.im))
4.0ms	x.re	@	inf	((- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.im)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.im x.re)) x.im) (* -3 (* x.im x.re)) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (* (+ (* x.im x.im) (* x.re x.re)) x.re) (+ (* x.im x.im) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (* (* x.re (+ x.im x.im)) x.im) (/ (/ x.re x.im) x.im))
3.0ms	x.re	@	0	((- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.im)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.im x.re)) x.im) (* -3 (* x.im x.re)) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (* (+ (* x.im x.im) (* x.re x.re)) x.re) (+ (* x.im x.im) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (* (* x.re (+ x.im x.im)) x.im) (/ (/ x.re x.im) x.im))
3.0ms	x.im	@	inf	((- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.im)) (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* x.re (+ x.im x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.im x.re)) x.im) (* -3 (* x.im x.re)) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (* (+ (* x.im x.im) (* x.re x.re)) x.re) (+ (* x.im x.im) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (* (* x.re (+ x.im x.im)) x.im) (/ (/ x.re x.im) x.im))

simplify155.0ms (2%)

Memory

11.4MiB live, 203.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	216	1052
1	711	840
2	2363	744
3	7498	744
0	8428	705

Stop Event

1×	iter limit
1×	node limit

Counts

82 → 80

Calls

Call 1

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

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

rewrite272.0ms (3.5%)

Memory

-0.7MiB live, 315.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	236
0	63	226
1	281	200
2	1849	196
0	8561	191

Stop Event

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

Counts

21 → 1 039

Calls

Call 1

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

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

eval136.0ms (1.8%)

Memory: 33.3MiB live, 224.5MiB allocated
Compiler: Compiled 40 616 to 3 426 computations (91.6% saved)

prune92.0ms (1.2%)

Memory

-6.8MiB live, 79.2MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	1 088	6	1 094
Fresh	3	3	6
Picked	2	3	5
Done	0	1	1
Total	1 093	13	1 106

Accuracy

100.0%

Counts

1 106 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.9%	(-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (+.f64 x.im x.re) x.re)) (+.f64 x.im x.re)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
✓	92.0%	(-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
▶	90.1%	(-.f64 (.f64 #s(approx ( x.re (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.re x.im) x.re x.re) x.im)) (-.f64 x.re x.im)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
▶	85.5%	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
	57.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
▶	58.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
	62.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64))) (.f64 x.im x.im)))
	58.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64))))
✓	58.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im))
✓	58.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
	56.9%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.re))
▶	25.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (.f64 x.im x.re) x.im))
✓	24.9%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (.f64 x.im x.im) x.re))

Compiler

Compiled 612 to 338 computations (44.8% saved)

simplify190.0ms (2.5%)

Memory

-8.2MiB live, 186.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
cost-diff	0	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 (+.f64 x.im x.re) x.re))
cost-diff	7	(-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (+.f64 x.im x.re) x.re)) (+.f64 x.im x.re)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
cost-diff	8	(/.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 (+.f64 x.im x.re) x.re)) (+.f64 x.im x.re))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re))
cost-diff	0	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
cost-diff	0	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
cost-diff	0	(*.f64 #s(literal -3 binary64) x.re)
cost-diff	0	(.f64 (.f64 #s(literal -3 binary64) x.re) x.im)
cost-diff	0	(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
cost-diff	0	(*.f64 x.im x.re)
cost-diff	0	(.f64 (.f64 x.im x.re) x.im)
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (.f64 x.im x.re) x.im))
cost-diff	0	#s(approx (* x.re (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.re x.im) x.re x.re) x.im))
cost-diff	0	(.f64 #s(approx ( x.re (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.re x.im) x.re x.re) x.im)) (-.f64 x.re x.im))
cost-diff	1	(-.f64 (.f64 #s(approx ( x.re (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.re x.im) x.re x.re) x.im)) (-.f64 x.re x.im)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
cost-diff	3	(*.f64 (fma.f64 (/.f64 x.re x.im) x.re x.re) x.im)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	332
0	79	313
1	184	308
2	443	300
3	1457	287
4	4916	272
0	8326	268

Stop Event

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

Calls

Call 1

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

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

localize240.0ms (3.1%)

Memory

-14.2MiB live, 153.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy	1.480093081807263	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 (+.f64 x.im x.re) x.re))
accuracy	4.039062500000001	(-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (+.f64 x.im x.re) x.re)) (+.f64 x.im x.re)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
accuracy	9.640313078297883	(/.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 (+.f64 x.im x.re) x.re)) (+.f64 x.im x.re))
accuracy	0.0	(*.f64 x.im x.im)
accuracy	0.0	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
accuracy	3.496085493320823	(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re))
accuracy	5.24170768899065	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
accuracy	0.0	(*.f64 #s(literal -3 binary64) x.re)
accuracy	0.125	(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
accuracy	0.19921875	(.f64 (.f64 #s(literal -3 binary64) x.re) x.im)
accuracy	26.49112538689664	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.13671875	(.f64 (.f64 x.im x.re) x.im)
accuracy	20.998546360892966	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (.f64 x.im x.re) x.im))
accuracy	0.12109375	(.f64 #s(approx ( x.re (+ x.im x.re)) (*.f64 (fma.f64 (/.f64 x.re x.im) x.re x.re) x.im)) (-.f64 x.re x.im))
accuracy	0.13671875	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy	3.303301722472928	(*.f64 (fma.f64 (/.f64 x.re x.im) x.re x.re) x.im)
accuracy	4.039062500000001	(-.f64 (.f64 #s(approx ( x.re (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.re x.im) x.re x.re) x.im)) (-.f64 x.re x.im)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))

Samples

202.0ms

256×

valid

Compiler

Compiled 286 to 50 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-mult: 117.0ms (63.7% of total)

ival-sub: 47.0ms (25.6% of total)

ival-add: 8.0ms (4.4% of total)

ival-div: 5.0ms (2.7% of total)

ival-pow: 5.0ms (2.7% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory

14.8MiB live, 51.1MiB allocated

Counts

20 → 93

Calls

Call 1

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

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

Calls

6 calls:

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

simplify143.0ms (1.8%)

Memory

3.6MiB live, 125.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	1434
1	1192	1059
2	4438	937
0	8103	896

Stop Event

1×	iter limit
1×	node limit

Counts

93 → 93

Calls

Call 1

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

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

rewrite226.0ms (2.9%)

Memory

-23.4MiB live, 221.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	271
0	79	256
1	386	215
2	2877	213
0	8442	208

Stop Event

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

Counts

20 → 980

Calls

Call 1

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

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

eval188.0ms (2.4%)

Memory: 3.7MiB live, 200.2MiB allocated
Compiler: Compiled 40 380 to 3 471 computations (91.4% saved)

prune59.0ms (0.8%)

Memory

3.1MiB live, 80.3MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	1 197	3	1 200
Fresh	0	4	4
Picked	3	2	5
Done	1	3	4
Total	1 201	12	1 213

Accuracy

100.0%

Counts

1 213 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.5%	(fma.f64 (-.f64 x.re x.im) #s(approx (* x.re (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.re x.im) x.re x.re) x.im)) (.f64 #s(literal 2 binary64) x.im))
	50.5%	(-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 (+.f64 x.im x.re) x.re)) (+.f64 x.im x.re)) (+.f64 x.im x.im))
	87.1%	#s(approx (- (* (/ (- (pow x.re 4) (pow x.im 4)) (+ (* x.im x.im) (* x.re x.re))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 x.re x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re))
	57.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
✓	58.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
	62.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64))) (.f64 x.im x.im)))
	58.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64))))
✓	58.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im))
✓	58.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
	56.9%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.re))
✓	25.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (.f64 x.im x.re) x.im))
✓	24.9%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (.f64 x.im x.im) x.re))

Compiler

Compiled 1 128 to 327 computations (71% saved)

regimes33.0ms (0.4%)

Memory

2.2MiB live, 48.8MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

15.0ms	x.im
9.0ms	x.re
8.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
99.8%	2	`x.re`
95.1%	2	`x.im`
99.8%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes13.0ms (0.2%)

Memory

-14.3MiB live, 22.6MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

7.0ms	x.re
4.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
98.3%	2	`x.re`
98.3%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes9.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.6%	3	`x.re`
97.4%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes3.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
97.4%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes9.0ms (0.1%)

Memory

-22.5MiB live, 16.7MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

4.0ms	x.re
3.0ms	x.im
2.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
58.5%	1	`x.im`
65.1%	2	`x.re`
65.5%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes5.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Results

Accuracy	Segments	Branch
25.0%	1	`x.im`
25.0%	1	`x.re`
25.0%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes4.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

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

Results

Accuracy	Segments	Branch
24.9%	1	`x.im`
24.9%	1	`x.re`
24.9%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6643680859114578e+301	1.3616124078263788e+304

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.65e-321	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.65e-321	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.65e-321	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify70.0ms (0.9%)

Memory

-5.1MiB live, 33.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	70	417
1	129	408
2	265	408
3	771	372
4	1941	348
5	4466	348
6	6524	348

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) (-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (fma.f64 (-.f64 x.re x.im) #s(approx (* x.re (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.re x.im) x.re x.re) x.im)) (.f64 #s(literal 2 binary64) x.im)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (.f64 x.im x.im) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(approx (* -3 (* (* x.im x.re) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.im) x.im))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(approx (* -3 (* (* x.im x.re) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.im) x.im))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(approx (* -3 (* (* x.im x.re) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.im) x.im))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (.f64 x.im x.re) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (.f64 x.im x.re) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (.f64 x.im x.im) x.re))

Outputs
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) (-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (fma.f64 (-.f64 x.re x.im) #s(approx (* x.re (+ x.im x.re)) (.f64 (fma.f64 (/.f64 x.re x.im) x.re x.re) x.im)) (.f64 #s(literal 2 binary64) x.im)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (.f64 x.im x.im) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(approx (* -3 (* (* x.im x.re) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.im) x.im))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(approx (* -3 (* (* x.im x.re) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.im) x.im))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(approx (* -3 (* (* x.im x.re) x.im)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.im) x.im))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (.f64 x.im x.re) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (.f64 x.im x.re) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (.f64 x.im x.im) x.re))

soundness1.3s (17%)

Memory

25.3MiB live, 777.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	897
1	664	692
2	2318	610
3	7250	610
0	8369	589
0	216	1052
1	711	840
2	2363	744
3	7498	744
0	8428	705
0	45	261
0	74	229
1	295	198
2	1827	198
0	8487	193
0	41	236
0	63	226
1	281	200
2	1849	196
0	8561	191
0	54	271
0	79	256
1	386	215
2	2877	213
0	8442	208
0	56	190
1	169	170
2	543	170
3	2202	170
4	6104	170
0	8203	165
0	11	51
0	20	51
1	83	39
0	576	38

Stop Event

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

Compiler

Compiled 961 to 348 computations (63.8% saved)

preprocess121.0ms (1.6%)

Memory: -8.0MiB live, 189.2MiB allocated
Compiler: Compiled 1 188 to 310 computations (73.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (23.9%)

explain350.0ms (4.5%)

preprocess369.0ms (4.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify220.0ms (2.8%)

localize29.0ms (0.4%)

series74.0ms (1%)

simplify108.0ms (1.4%)

rewrite57.0ms (0.7%)

eval8.0ms (0.1%)

prune8.0ms (0.1%)

simplify255.0ms (3.3%)

localize107.0ms (1.4%)

series35.0ms (0.5%)

simplify146.0ms (1.9%)

rewrite336.0ms (4.3%)

eval131.0ms (1.7%)

prune25.0ms (0.3%)

simplify167.0ms (2.2%)

localize124.0ms (1.6%)

series33.0ms (0.4%)

simplify155.0ms (2%)

rewrite272.0ms (3.5%)

eval136.0ms (1.8%)

prune92.0ms (1.2%)

simplify190.0ms (2.5%)

localize240.0ms (3.1%)

series26.0ms (0.3%)

simplify143.0ms (1.8%)

rewrite226.0ms (2.9%)

eval188.0ms (2.4%)

prune59.0ms (0.8%)

regimes33.0ms (0.4%)

regimes13.0ms (0.2%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify70.0ms (0.9%)

soundness1.3s (17%)

preprocess121.0ms (1.6%)

end0.0ms (0%)

Profiling