Metrics for math.cube on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

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)

sample1.4s (25.8%)

Memory

54.9MiB live, 1 814.0MiB allocated; 366ms collecting garbage

Samples

913.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 629.0ms

ival-mult: 447.0ms (71.1% of total)

ival-add: 136.0ms (21.6% of total)

ival-sub: 35.0ms (5.6% of total)

ival-true: 6.0ms (1% of total)

ival-assert: 3.0ms (0.5% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

explain253.0ms (4.8%)

Memory

2.3MiB live, 320.3MiB allocated; 48ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
17	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`
12	-	-	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
11	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
0	-	-	`(*.f64 x.re x.im)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`
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.im)`	*no**	17	0
`+.f64`	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`	nan-rescue	12	0
↳	`(*.f64 x.re x.re)`	overflow	56
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	96
↳	`(*.f64 x.im x.im)`	overflow	51
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	overflow	99
↳	`(*.f64 x.im x.re)`	overflow	28
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`	overflow	54
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	28
↳	`(*.f64 x.re x.im)`	overflow	28
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	11	0
↳	`(*.f64 x.re x.re)`	overflow	56
↳	`(*.f64 x.im x.im)`	overflow	51

Confusion

	Predicted +	Predicted -
+	37	0
-	0	219

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	37	0	0
-	0	0	219

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	219
1	34
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

106.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 78.0ms (87% of total)

ival-add: 9.0ms (10% of total)

ival-sub: 2.0ms (2.2% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess343.0ms (6.5%)

Memory

-1.3MiB live, 439.9MiB allocated; 98ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	103
1	114	87
2	408	85
3	1278	57
4	4753	57
0	11	19
0	20	19
1	44	17
2	145	17
3	565	11
4	1728	11
5	5819	11
0	9144	11

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x.re)

(negabs x.im)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.8%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify290.0ms (5.5%)

Memory

12.7MiB live, 281.7MiB allocated; 48ms collecting garbage

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.im)
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	6	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	65
0	20	65
1	44	59
2	145	59
3	565	53
4	1728	53
5	5819	53
0	9144	53

Stop Event

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

Calls

Call 1

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

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

localize50.0ms (1%)

Memory

16.9MiB live, 60.0MiB allocated; 9ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.09375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	2.347650057490618	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	3.0585689799624696	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
accuracy	4.1003383241742695	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)

Samples

42.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 31.0ms (89.9% of total)

ival-add: 2.0ms (5.8% of total)

ival-sub: 1.0ms (2.9% of total)

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

adjust: 0.0ms (0% of total)

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

series96.0ms (1.8%)

Memory

-49.7MiB live, 76.7MiB allocated; 27ms collecting garbage

Counts

5 → 22

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
76.0ms	x.re	@	-inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
10.0ms	x.re	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms	x.im	@	-inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms	x.im	@	0	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms	x.im	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify241.0ms (4.6%)

Memory

28.6MiB live, 251.1MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	215
1	202	207
2	807	206
3	4612	206
0	8723	201

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

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

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

rewrite60.0ms (1.1%)

Memory

-18.0MiB live, 135.1MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
0	20	51
1	89	39
0	691	38

Stop Event

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

Counts

5 → 119

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x.im (+.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.re) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 x.im (+.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.re) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))))))
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eval38.0ms (0.7%)

Memory: -9.0MiB live, 37.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 305 to 482 computations (85.4% saved)

prune6.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	127	8	135
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	8	136

Accuracy

100.0%

Counts

136 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.4%	(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	85.7%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #s(approx ( (+ (* x.re x.im) (* x.im x.re)) x.re) (.f64 (.f64 (*.f64 x.re x.re) #s(literal 2 binary64)) x.im)))
▶	76.6%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (neg.f64 x.re) x.re) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -1 binary64)))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	56.0%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	62.2%	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	59.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
▶	62.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
▶	90.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))) x.im))

Compiler

Compiled 432 to 246 computations (43.1% saved)

simplify116.0ms (2.2%)

Memory

21.9MiB live, 164.9MiB allocated; 17ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	417
0	77	417
1	154	395
2	446	395
3	1812	377
4	6566	377
0	8215	374

Stop Event

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

Calls

Call 1

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

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

localize176.0ms (3.3%)

Memory

-70.8MiB live, 196.3MiB allocated; 71ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.1612562133812716	(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im)
accuracy	3.0585689799624696	(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy	7.035129415792676	(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
accuracy	34.201588010981524	(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.im x.im (.f64 x.re x.re)))
accuracy	0.15919877930532603	(fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -1 binary64))
accuracy	3.0585689799624696	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (neg.f64 x.re) x.re) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -1 binary64)))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy	4.1003383241742695	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (neg.f64 x.re) x.re) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -1 binary64)))) x.im)
accuracy	9.7125558243628	(.f64 (.f64 (neg.f64 x.re) x.re) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -1 binary64)))
accuracy	0.09375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	3.0585689799624696	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
accuracy	4.1003383241742695	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
accuracy	26.0509222637776	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.1015625	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
accuracy	0.203125	(.f64 (.f64 #s(literal 3 binary64) x.re) x.im)
accuracy	24.126848497317233	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
accuracy	0.0	(neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (.f64 x.im x.im)))
accuracy	0.0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))) x.im))
accuracy	2.066384230844482	(fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (.f64 x.im x.im))
accuracy	4.115058670357382	(.f64 (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))) x.im)

Samples

121.0ms

256×

valid

Compiler

Compiled 353 to 38 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 61.0ms (71.4% of total)

ival-neg: 7.0ms (8.2% of total)

ival-add: 6.0ms (7% of total)

ival-pow: 5.0ms (5.9% of total)

ival-div: 3.0ms (3.5% of total)

ival-sub: 2.0ms (2.3% of total)

exact: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

series64.0ms (1.2%)

Memory

12.9MiB live, 58.5MiB allocated; 6ms collecting garbage

Counts

22 → 60

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
40.0ms	x.im	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (* (neg x.re) x.re) (+ (* (/ x.im x.re) (/ x.im x.re)) -1)) (+ (* (/ x.im x.re) (/ x.im x.re)) -1) (- (pow x.re 4) (pow x.im 4)))
6.0ms	x.im	@	0	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (* (neg x.re) x.re) (+ (* (/ x.im x.re) (/ x.im x.re)) -1)) (+ (* (/ x.im x.re) (/ x.im x.re)) -1) (- (pow x.re 4) (pow x.im 4)))
4.0ms	x.re	@	0	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (* (neg x.re) x.re) (+ (* (/ x.im x.re) (/ x.im x.re)) -1)) (+ (* (/ x.im x.re) (/ x.im x.re)) -1) (- (pow x.re 4) (pow x.im 4)))
4.0ms	x.re	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (* (neg x.re) x.re) (+ (* (/ x.im x.re) (/ x.im x.re)) -1)) (+ (* (/ x.im x.re) (/ x.im x.re)) -1) (- (pow x.re 4) (pow x.im 4)))
4.0ms	x.im	@	-inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (* (neg x.re) x.re) (+ (* (/ x.im x.re) (/ x.im x.re)) -1)) (+ (* (/ x.im x.re) (/ x.im x.re)) -1) (- (pow x.re 4) (pow x.im 4)))

simplify244.0ms (4.6%)

Memory

23.1MiB live, 313.5MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	581
1	408	563
2	1436	552
3	6107	552
0	9816	538

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

Outputs
(* -1 (pow x.im 3))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(.f64 (neg.f64 x.im) (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(.f64 (neg.f64 x.im) (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)))
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(- (* 3 (pow x.re 2)) (pow x.im 2))
(neg.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im)))
(pow x.im 2)
(*.f64 x.im x.im)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im))
(* 3 (* x.im (pow x.re 2)))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* 3 (* x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 2 (* x.im x.re))
(.f64 (.f64 #s(literal 2 binary64) x.im) x.re)
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.im)
(- (pow x.re 2) (pow x.im 2))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(.f64 (neg.f64 x.im) (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)))
(* -1 (pow x.im 5))
(neg.f64 (pow.f64 x.im #s(literal 5 binary64)))
(+ (* -1 (pow x.im 5)) (* x.im (pow x.re 4)))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im)
(* 2 (* x.im (pow x.re 2)))
(.f64 (.f64 (*.f64 x.re x.re) #s(literal 2 binary64)) 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) (pow x.re 2))
(*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im)
(/ (+ (* -1 (pow x.re 2)) (pow x.im 2)) (pow x.re 2))
(fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -1 binary64))
(* -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 2) (+ x.im (* 2 x.im)))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(.f64 (neg.f64 x.im) (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(.f64 (neg.f64 x.im) (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)))
(* 3 (pow x.re 2))
(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(neg.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im)))
(* -3 (pow x.re 2))
(.f64 #s(literal -3 binary64) (.f64 x.re x.re))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)
(* x.im (pow x.re 2))
(.f64 (.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im 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))
(* x.im (pow x.re 4))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) x.im)
(* (pow x.re 4) (+ x.im (* -1 (/ (pow x.im 5) (pow x.re 4)))))
(*.f64 (-.f64 x.im (/.f64 (pow.f64 x.im #s(literal 5 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.re #s(literal 4 binary64)))
-1
#s(literal -1 binary64)
(- (/ (pow x.im 2) (pow x.re 2)) 1)
(fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -1 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)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(.f64 (neg.f64 x.im) (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(.f64 (neg.f64 x.im) (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)))
(- (* -1 (pow x.im 2)) (* -3 (pow x.re 2)))
(neg.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.im)
(* x.im (+ (* -1 (pow x.im 4)) (pow x.re 4)))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im)
(+ (* -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 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (*.f64 x.im x.im))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal 1 binary64)) (*.f64 x.im x.im))
(* (pow x.im 3) (- (/ (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)) (pow.f64 x.im #s(literal 3 binary64)))
(* (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 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im))) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 5) (- (/ (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 5 binary64)))
(* (pow x.im 2) (- (/ 1 (pow x.re 2)) (/ 1 (pow x.im 2))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x.re x.re)) (/.f64 #s(literal 1 binary64) (.f64 x.im x.im))) (.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)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 5) (+ 1 (* -1 (/ (pow x.re 4) (pow x.im 4))))))
(*.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 5 binary64)))

rewrite119.0ms (2.2%)

Memory

3.6MiB live, 236.3MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	320
0	77	315
1	291	273
0	2248	268

Stop Event

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

Counts

22 → 331

Calls

Call 1

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

Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)) (neg.f64 x.im)))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))) x.im)
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)) (neg.f64 x.im))
(.f64 x.im (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))))
(neg.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)) x.im))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 x.im (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 x.im (.f64 (neg.f64 x.im) x.im)))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im) (.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(+.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (.f64 x.re x.re))) (.f64 x.im (*.f64 (neg.f64 x.im) x.im)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x.im) x.im) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 (neg.f64 x.im) x.im)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (*.f64 (neg.f64 x.im) x.im)))
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 (neg.f64 x.im) x.im)))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))) (neg.f64 (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (*.f64 (neg.f64 x.im) x.im))))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)))))))
(neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (.f64 x.im x.im)))
(fma.f64 (neg.f64 (.f64 #s(literal -3 binary64) x.re)) x.re (.f64 (neg.f64 x.im) x.im))
(fma.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im) (.f64 #s(literal 3 binary64) (.f64 x.re x.re)))
(fma.f64 (neg.f64 (fabs.f64 x.im)) (fabs.f64 x.im) (.f64 #s(literal 3 binary64) (.f64 x.re x.re)))
(fma.f64 (neg.f64 x.im) (neg.f64 (neg.f64 x.im)) (.f64 #s(literal 3 binary64) (.f64 x.re x.re)))
(fma.f64 (neg.f64 x.im) x.im (.f64 #s(literal 3 binary64) (.f64 x.re x.re)))
(fma.f64 (fabs.f64 x.im) (neg.f64 (fabs.f64 x.im)) (.f64 #s(literal 3 binary64) (.f64 x.re x.re)))
(fma.f64 (neg.f64 x.re) (.f64 #s(literal -3 binary64) x.re) (.f64 (neg.f64 x.im) x.im))
(fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))
(fma.f64 (.f64 #s(literal -3 binary64) x.re) (neg.f64 x.re) (.f64 (neg.f64 x.im) x.im))
(fma.f64 #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re) (.f64 (neg.f64 x.im) x.im))
(fma.f64 x.im (neg.f64 x.im) (.f64 #s(literal 3 binary64) (.f64 x.re x.re)))
(fma.f64 x.re (neg.f64 (.f64 #s(literal -3 binary64) x.re)) (.f64 (neg.f64 x.im) x.im))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (*.f64 (neg.f64 x.im) x.im))
(+.f64 (.f64 (neg.f64 x.im) x.im) (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (-.f64 (.f64 x.im x.im) (.f64 (.f64 x.re x.re) #s(literal -3 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64))) (pow.f64 (.f64 (neg.f64 x.im) x.im) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (.f64 (.f64 x.re x.re) #s(literal -3 binary64)) (.f64 (neg.f64 x.im) x.im)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))) (neg.f64 (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (*.f64 (neg.f64 x.im) x.im))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (*.f64 (neg.f64 x.im) x.im)))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))))
(fma.f64 (.f64 #s(literal -3 binary64) (fabs.f64 x.re)) (fabs.f64 x.re) (.f64 (neg.f64 (neg.f64 x.im)) x.im))
(fma.f64 (.f64 #s(literal -3 binary64) (fabs.f64 x.re)) (fabs.f64 x.re) (.f64 x.im x.im))
(fma.f64 (.f64 #s(literal -3 binary64) (neg.f64 x.re)) (neg.f64 x.re) (.f64 (neg.f64 (neg.f64 x.im)) x.im))
(fma.f64 (.f64 #s(literal -3 binary64) (neg.f64 x.re)) (neg.f64 x.re) (.f64 x.im x.im))
(fma.f64 (pow.f64 x.im #s(literal 1 binary64)) (pow.f64 x.im #s(literal 1 binary64)) (.f64 (.f64 x.re x.re) #s(literal -3 binary64)))
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(fma.f64 (/.f64 (fabs.f64 x.im) (neg.f64 x.re)) (/.f64 (fabs.f64 x.im) (neg.f64 x.re)) #s(literal -1 binary64))
(fma.f64 (/.f64 (fabs.f64 x.im) x.re) (/.f64 (fabs.f64 x.im) x.re) #s(literal -1 binary64))
(fma.f64 (/.f64 x.im (fabs.f64 x.re)) (/.f64 x.im (fabs.f64 x.re)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fabs.f64 (/.f64 x.im x.re))) (neg.f64 (fabs.f64 (/.f64 x.im x.re))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 (/.f64 x.im x.re))) (fabs.f64 (fabs.f64 (/.f64 x.im x.re))) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 (neg.f64 x.im) x.re) #s(literal -1 binary64))
(fma.f64 (neg.f64 x.im) (/.f64 (neg.f64 x.im) (*.f64 x.re x.re)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (/.f64 x.im x.re)) (fabs.f64 (/.f64 x.im x.re)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x.im) (/.f64 (fabs.f64 x.im) (*.f64 x.re x.re)) #s(literal -1 binary64))
(fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -1 binary64))
(fma.f64 x.im (/.f64 (/.f64 x.im x.re) x.re) #s(literal -1 binary64))
(fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (/.f64 x.im x.re)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fabs.f64 (/.f64 x.im x.re))) (fabs.f64 (/.f64 x.im x.re))))
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re)))
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x.im x.re) (/.f64 (neg.f64 x.im) x.re)))
(+.f64 (/.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 6 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 (/.f64 x.im x.re) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 (/.f64 x.im x.re) #s(literal 4 binary64)))))
(+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 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 x.re x.im) (+.f64 x.im x.re)))
(/.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 (+.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.im #s(literal 4 binary64)) (pow.f64 x.re #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 (.f64 (.f64 x.re x.re) (fabs.f64 x.re)) (fabs.f64 x.re) (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im)))
(fma.f64 (.f64 (.f64 x.re x.re) (neg.f64 x.re)) (neg.f64 x.re) (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im)))
(fma.f64 (.f64 (fabs.f64 x.re) (neg.f64 x.re)) (.f64 (fabs.f64 x.re) (neg.f64 x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im)))
(fma.f64 (.f64 (fabs.f64 x.re) x.re) (.f64 (fabs.f64 x.re) x.re) (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im)))
(fma.f64 (.f64 (neg.f64 x.re) (fabs.f64 x.re)) (.f64 (neg.f64 x.re) (fabs.f64 x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im)))
(fma.f64 (.f64 x.re (fabs.f64 x.re)) (.f64 x.re (fabs.f64 x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im)))
(fma.f64 (.f64 (.f64 x.re x.re) x.re) x.re (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im)))
(fma.f64 (fabs.f64 x.re) (.f64 (fabs.f64 x.re) (.f64 x.re x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im)))
(fma.f64 (.f64 (neg.f64 x.re) x.re) (.f64 (neg.f64 x.re) x.re) (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im)))
(fma.f64 (neg.f64 x.re) (.f64 (neg.f64 x.re) (.f64 x.re x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im)))
(fma.f64 (.f64 x.re x.re) (.f64 x.re x.re) (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im)))
(fma.f64 x.re (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im)))
(-.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 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im)))

eval72.0ms (1.4%)

Memory: -25.3MiB live, 135.3MiB allocated; 15ms collecting garbage
Compiler: Compiled 15 295 to 1 533 computations (90% saved)

prune37.0ms (0.7%)

Memory

1.9MiB live, 48.5MiB allocated; 3ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	439	9	448
Fresh	2	1	3
Picked	5	0	5
Done	0	0	0
Total	446	10	456

Accuracy

100.0%

Counts

456 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.5%	(+.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.im) (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	66.1%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (neg.f64 x.re) x.re) (fma.f64 x.im (/.f64 x.im (.f64 x.re x.re)) #s(literal -1 binary64)))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	56.0%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
	59.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
▶	56.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
	62.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re))
▶	62.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
▶	88.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re))) x.im))
▶	59.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))) x.im))
	62.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re)))

Compiler

Compiled 600 to 338 computations (43.7% saved)

simplify121.0ms (2.3%)

Memory

-12.3MiB live, 126.5MiB allocated; 25ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (neg.f64 x.re) x.re) (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -1 binary64)))) x.im)
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 (.f64 (neg.f64 x.re) x.re) (fma.f64 x.im (/.f64 x.im (.f64 x.re x.re)) #s(literal -1 binary64)))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
cost-diff	5	(.f64 (.f64 (neg.f64 x.re) x.re) (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -1 binary64)))
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(.f64 (.f64 x.re x.re) x.im)
cost-diff	0	(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
cost-diff	0	(*.f64 #s(literal 3 binary64) x.re)
cost-diff	0	(*.f64 x.im x.re)
cost-diff	0	(.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
cost-diff	0	#s(approx (+ (* (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))
cost-diff	0	(neg.f64 #s(approx (+ (* (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im)))
cost-diff	0	(.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))) x.im)
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))) x.im))
cost-diff	0	(neg.f64 #s(approx (+ (* (* -3 x.re) x.re) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)))
cost-diff	0	(.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re))) x.im)
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re))) x.im))
cost-diff	2	(.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	459
0	75	459
1	152	445
2	439	445
3	2229	398
0	8497	380

Stop Event

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

Calls

Call 1

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

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

localize127.0ms (2.4%)

Memory

25.7MiB live, 216.6MiB allocated; 29ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.0963384618775933	(fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -1 binary64))
accuracy	4.1003383241742695	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (neg.f64 x.re) x.re) (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -1 binary64)))) x.im)
accuracy	6.202939294128535	(/.f64 x.im (*.f64 x.re x.re))
accuracy	9.7125558243628	(.f64 (.f64 (neg.f64 x.re) x.re) (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -1 binary64)))
accuracy	0.0	(*.f64 x.re x.re)
accuracy	0.15234375	(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
accuracy	6.693150817100605	(.f64 (.f64 x.re x.re) x.im)
accuracy	24.126848497317233	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.20931625976844204	(.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))
accuracy	24.126848497317233	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
accuracy	0.0	(neg.f64 #s(approx (+ (* (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im)))
accuracy	0.0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))) x.im))
accuracy	4.115058670357382	(.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))) x.im)
accuracy	31.174533854946073	#s(approx (+ (* (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))
accuracy	0.15919877930532603	(fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64))
accuracy	1.8019046500558495	(.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)
accuracy	2.7153217807323387	(*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re)
accuracy	4.115058670357382	(.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re))) x.im)

Samples

62.0ms	233×	0	valid
11.0ms	9×	4	valid
3.0ms	5×	2	valid
3.0ms	6×	1	valid
2.0ms	3×	3	valid

Compiler

Compiled 314 to 36 computations (88.5% saved)

Precisions

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

ival-mult: 36.0ms (62.8% of total)

ival-add: 9.0ms (15.7% of total)

adjust: 4.0ms (7% of total)

ival-div: 4.0ms (7% of total)

ival-neg: 2.0ms (3.5% of total)

ival-sub: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.4%)

Memory

15.5MiB live, 61.4MiB allocated; 4ms collecting garbage

Counts

24 → 55

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x.re	@	inf	((* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im x.re) (* 3 x.re)) (* x.im x.re) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (* (* (neg x.re) x.re) (+ (* x.im (/ x.im (* x.re x.re))) -1)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (+ (* (/ x.im x.re) (/ x.im x.re)) -3) (/ x.im (* x.re x.re)) (+ (* x.im (/ x.im (* x.re x.re))) -1))
3.0ms	x.im	@	inf	((* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im x.re) (* 3 x.re)) (* x.im x.re) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (* (* (neg x.re) x.re) (+ (* x.im (/ x.im (* x.re x.re))) -1)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (+ (* (/ x.im x.re) (/ x.im x.re)) -3) (/ x.im (* x.re x.re)) (+ (* x.im (/ x.im (* x.re x.re))) -1))
3.0ms	x.im	@	-inf	((* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im x.re) (* 3 x.re)) (* x.im x.re) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (* (* (neg x.re) x.re) (+ (* x.im (/ x.im (* x.re x.re))) -1)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (+ (* (/ x.im x.re) (/ x.im x.re)) -3) (/ x.im (* x.re x.re)) (+ (* x.im (/ x.im (* x.re x.re))) -1))
3.0ms	x.re	@	-inf	((* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im x.re) (* 3 x.re)) (* x.im x.re) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (* (* (neg x.re) x.re) (+ (* x.im (/ x.im (* x.re x.re))) -1)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (+ (* (/ x.im x.re) (/ x.im x.re)) -3) (/ x.im (* x.re x.re)) (+ (* x.im (/ x.im (* x.re x.re))) -1))
3.0ms	x.re	@	0	((* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im x.re) (* 3 x.re)) (* x.im x.re) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (* (* (neg x.re) x.re) (+ (* x.im (/ x.im (* x.re x.re))) -1)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (+ (* (/ x.im x.re) (/ x.im x.re)) -3) (/ x.im (* x.re x.re)) (+ (* x.im (/ x.im (* x.re x.re))) -1))

simplify203.0ms (3.8%)

Memory

-29.2MiB live, 206.1MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	512
1	338	499
2	1272	487
3	6202	487
0	8529	467

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 55

Calls

Call 1

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

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

rewrite91.0ms (1.7%)

Memory

-4.9MiB live, 99.5MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	373
0	75	363
1	253	339
0	1700	327

Stop Event

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

Counts

24 → 265

Calls

Call 1

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

Outputs
(.f64 (.f64 (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)) (fabs.f64 x.re)) (fabs.f64 x.re))
(.f64 (.f64 (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)) (neg.f64 x.re)) (neg.f64 x.re))
(.f64 (.f64 x.re x.re) (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.re)
(.f64 (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)) (.f64 x.re x.re))
(.f64 x.re (.f64 (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 x.re x.re)) (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 6 binary64)) #s(literal -27 binary64)) (.f64 x.re x.re)) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 (/.f64 x.im x.re) #s(literal 4 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (.f64 x.re x.re) (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)))) (neg.f64 x.im)))
(.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (.f64 x.re x.re) (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))))) x.im)
(.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (.f64 x.re x.re) (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)))) (neg.f64 x.im))
(.f64 x.im (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (.f64 x.re x.re) (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))))))
(neg.f64 (.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (.f64 x.re x.re) (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)))) x.im))
(neg.f64 #s(approx (+ (* (* -3 x.re) x.re) (* x.im x.im)) (.f64 (.f64 x.re x.re) (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))
(.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))) x.im)
(.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im))
(.f64 x.im (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))))
(neg.f64 (.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im)) x.im))
(neg.f64 #s(approx (+ (* (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im)))
#s(approx (+ (* (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)
(.f64 (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)
(.f64 (.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re)
(.f64 (fabs.f64 x.re) (.f64 (fabs.f64 x.re) (*.f64 #s(literal 3 binary64) x.im)))
(.f64 (neg.f64 x.re) (.f64 (neg.f64 x.re) (*.f64 #s(literal 3 binary64) x.im)))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
(.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.re) x.im))
(.f64 (.f64 x.re x.im) (*.f64 #s(literal 3 binary64) x.re))
(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.re x.im)))
(.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 #s(literal 3 binary64) x.re)
(*.f64 x.re #s(literal 3 binary64))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)
(.f64 (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)
(.f64 (.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re)
(.f64 (fabs.f64 x.re) (.f64 (fabs.f64 x.re) (*.f64 #s(literal 3 binary64) x.im)))
(.f64 (neg.f64 x.re) (.f64 (neg.f64 x.re) (*.f64 #s(literal 3 binary64) x.im)))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
(.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.re) x.im))
(.f64 (.f64 x.re x.im) (*.f64 #s(literal 3 binary64) x.re))
(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.re x.im)))
(.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(.f64 (.f64 x.im (fabs.f64 x.re)) (fabs.f64 x.re))
(.f64 (.f64 x.im (neg.f64 x.re)) (neg.f64 x.re))
(.f64 (fabs.f64 x.re) (.f64 (fabs.f64 x.re) x.im))
(.f64 (neg.f64 x.re) (.f64 (neg.f64 x.re) x.im))
(.f64 (.f64 x.re x.re) x.im)
(.f64 (.f64 x.re x.im) x.re)
(.f64 x.re (.f64 x.re x.im))
(.f64 x.im (.f64 x.re x.re))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 x.re)) x.re)
(.f64 (.f64 #s(literal -1 binary64) x.re) (neg.f64 x.re))
(*.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 x.re)) (neg.f64 (fabs.f64 x.re)))
(*.f64 (neg.f64 (neg.f64 x.re)) (neg.f64 (neg.f64 x.re)))
(*.f64 (fabs.f64 (fabs.f64 x.re)) (fabs.f64 (fabs.f64 x.re)))
(*.f64 (fabs.f64 x.re) (fabs.f64 x.re))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x.re) x.re))
(.f64 (.f64 (neg.f64 x.re) x.re) #s(literal -1 binary64))
(.f64 (neg.f64 x.re) (.f64 x.re #s(literal -1 binary64)))
(*.f64 (neg.f64 x.re) (neg.f64 x.re))
(.f64 x.re (.f64 (neg.f64 x.re) #s(literal -1 binary64)))
(*.f64 x.re x.re)
(pow.f64 (fabs.f64 x.re) #s(literal 2 binary64))
(pow.f64 (neg.f64 x.re) #s(literal 2 binary64))
(pow.f64 x.re #s(literal 2 binary64))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 x.re x.re)))
(neg.f64 (.f64 (.f64 x.re x.re) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 x.re) x.re))
(fabs.f64 (*.f64 x.re x.re))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 x.re)) x.re)
(.f64 (.f64 (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64)) x.re) (neg.f64 x.re))
(.f64 (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 x.re) x.re))
(.f64 (.f64 (neg.f64 x.re) x.re) (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (neg.f64 x.re) (.f64 (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64)) x.re))
(.f64 x.re (.f64 (neg.f64 x.re) (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (neg.f64 x.re) x.re)) (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 6 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 x.re) x.re)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 (/.f64 x.im x.re) #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 (neg.f64 x.re) x.re) (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (neg.f64 x.re) x.re) (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 (/.f64 x.im x.re) #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.re) (neg.f64 x.re)) (.f64 (.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.re) (neg.f64 x.re))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (.f64 (.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.re) (neg.f64 x.re)) (.f64 x.re x.re)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.re) (neg.f64 x.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.re) (neg.f64 x.re)) (.f64 (.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.re) (neg.f64 x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.re) (neg.f64 x.re)) (.f64 x.re x.re)))))
(neg.f64 (.f64 (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 x.re x.re)))
(neg.f64 (.f64 (.f64 x.re x.re) (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64))))
(neg.f64 (.f64 x.re (.f64 (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64)) x.re)))
(fma.f64 (.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) (neg.f64 x.re)) x.re (.f64 x.re x.re))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 x.re)) x.re (.f64 (*.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.re) (neg.f64 x.re)))
(fma.f64 (.f64 (.f64 (neg.f64 x.re) x.re) (/.f64 (neg.f64 x.im) x.re)) (/.f64 (neg.f64 x.im) x.re) (*.f64 x.re x.re))
(fma.f64 (.f64 (.f64 (neg.f64 x.re) x.re) (fabs.f64 (/.f64 x.im x.re))) (fabs.f64 (/.f64 x.im x.re)) (*.f64 x.re x.re))
(fma.f64 (.f64 (.f64 (neg.f64 x.re) x.re) (/.f64 (/.f64 x.im x.re) x.re)) x.im (*.f64 x.re x.re))
(fma.f64 (.f64 (.f64 (neg.f64 x.re) x.re) (/.f64 x.im x.re)) (/.f64 x.im x.re) (*.f64 x.re x.re))
(fma.f64 (.f64 (.f64 (neg.f64 x.re) x.re) x.im) (/.f64 (/.f64 x.im x.re) x.re) (*.f64 x.re x.re))
(fma.f64 (.f64 #s(literal -1 binary64) x.re) (neg.f64 x.re) (.f64 (*.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.re) (neg.f64 x.re)))
(fma.f64 (.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.re) (neg.f64 x.re) (.f64 x.re x.re))
(fma.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.re) (neg.f64 x.re)))
(fma.f64 (neg.f64 (fabs.f64 x.re)) (neg.f64 (fabs.f64 x.re)) (.f64 (.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.re) (neg.f64 x.re)))
(fma.f64 (neg.f64 (neg.f64 x.re)) (neg.f64 (neg.f64 x.re)) (.f64 (.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.re) (neg.f64 x.re)))
(fma.f64 (fabs.f64 (fabs.f64 x.re)) (fabs.f64 (fabs.f64 x.re)) (.f64 (.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.re) (neg.f64 x.re)))
(fma.f64 (/.f64 (neg.f64 x.im) x.re) (.f64 (/.f64 (neg.f64 x.im) x.re) (.f64 (neg.f64 x.re) x.re)) (*.f64 x.re x.re))
(fma.f64 (fabs.f64 x.re) (fabs.f64 x.re) (.f64 (.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.re) (neg.f64 x.re)))
(fma.f64 (fabs.f64 (/.f64 x.im x.re)) (.f64 (fabs.f64 (/.f64 x.im x.re)) (.f64 (neg.f64 x.re) x.re)) (*.f64 x.re x.re))
(fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) (.f64 (neg.f64 x.re) x.re) (.f64 x.re x.re))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x.re) x.re) (.f64 (*.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.re) (neg.f64 x.re)))
(fma.f64 (/.f64 (/.f64 x.im x.re) x.re) (.f64 x.im (.f64 (neg.f64 x.re) x.re)) (*.f64 x.re x.re))
(fma.f64 (.f64 (neg.f64 x.re) x.re) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) (.f64 x.re x.re))
(fma.f64 (.f64 (neg.f64 x.re) x.re) #s(literal -1 binary64) (.f64 (*.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.re) (neg.f64 x.re)))
(fma.f64 (neg.f64 x.re) (.f64 x.re #s(literal -1 binary64)) (.f64 (*.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.re) (neg.f64 x.re)))
(fma.f64 (neg.f64 x.re) (.f64 x.re (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) (.f64 x.re x.re))
(fma.f64 (neg.f64 x.re) (neg.f64 x.re) (.f64 (.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.re) (neg.f64 x.re)))
(fma.f64 (/.f64 x.im x.re) (.f64 (/.f64 x.im x.re) (.f64 (neg.f64 x.re) x.re)) (*.f64 x.re x.re))
(fma.f64 x.re (.f64 (neg.f64 x.re) #s(literal -1 binary64)) (.f64 (*.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.re) (neg.f64 x.re)))
(fma.f64 x.re (.f64 (neg.f64 x.re) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) (.f64 x.re x.re))
(fma.f64 x.re x.re (.f64 (.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.re) (neg.f64 x.re)))
(fma.f64 x.im (.f64 (/.f64 (/.f64 x.im x.re) x.re) (.f64 (neg.f64 x.re) x.re)) (*.f64 x.re x.re))
(-.f64 (.f64 (.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.re) (neg.f64 x.re)) (.f64 (.f64 x.re x.re) #s(literal -1 binary64)))
(-.f64 (.f64 (.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.re) (neg.f64 x.re)) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x.re) x.re)))
(+.f64 (.f64 (.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.re) (neg.f64 x.re)) (*.f64 x.re x.re))
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(fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) #s(literal -3 binary64))
(fma.f64 (/.f64 (neg.f64 x.im) (fabs.f64 x.re)) (/.f64 (neg.f64 x.im) (fabs.f64 x.re)) #s(literal -3 binary64))
(fma.f64 (/.f64 (fabs.f64 x.im) (neg.f64 x.re)) (/.f64 (fabs.f64 x.im) (neg.f64 x.re)) #s(literal -3 binary64))
(fma.f64 (/.f64 (fabs.f64 x.im) x.re) (/.f64 (fabs.f64 x.im) x.re) #s(literal -3 binary64))
(fma.f64 (/.f64 x.im (fabs.f64 x.re)) (/.f64 x.im (fabs.f64 x.re)) #s(literal -3 binary64))
(fma.f64 (neg.f64 (fabs.f64 (/.f64 x.im x.re))) (neg.f64 (fabs.f64 (/.f64 x.im x.re))) #s(literal -3 binary64))
(fma.f64 (fabs.f64 (fabs.f64 (/.f64 x.im x.re))) (fabs.f64 (fabs.f64 (/.f64 x.im x.re))) #s(literal -3 binary64))
(fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 (neg.f64 x.im) x.re) #s(literal -3 binary64))
(fma.f64 (neg.f64 x.im) (/.f64 (neg.f64 x.im) (*.f64 x.re x.re)) #s(literal -3 binary64))
(fma.f64 (fabs.f64 (/.f64 x.im x.re)) (fabs.f64 (/.f64 x.im x.re)) #s(literal -3 binary64))
(fma.f64 (fabs.f64 x.im) (/.f64 (fabs.f64 x.im) (*.f64 x.re x.re)) #s(literal -3 binary64))
(fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #s(literal -3 binary64))
(fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64))
(fma.f64 x.im (/.f64 (/.f64 x.im x.re) x.re) #s(literal -3 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))))
(-.f64 #s(literal -3 binary64) (*.f64 (neg.f64 (fabs.f64 (/.f64 x.im x.re))) (fabs.f64 (/.f64 x.im x.re))))
(-.f64 #s(literal -3 binary64) (*.f64 (neg.f64 (/.f64 (/.f64 x.im x.re) x.re)) x.im))
(-.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re)))
(-.f64 #s(literal -3 binary64) (*.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re)))
(-.f64 #s(literal -3 binary64) (*.f64 (/.f64 x.im x.re) (/.f64 (neg.f64 x.im) x.re)))
(+.f64 (/.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 (/.f64 x.im x.re) #s(literal 4 binary64)))) (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 (/.f64 x.im x.re) #s(literal 4 binary64)))))
(+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))
(/.f64 (/.f64 x.im (fabs.f64 x.re)) (fabs.f64 x.re))
(/.f64 (neg.f64 (neg.f64 x.im)) (*.f64 x.re x.re))
(/.f64 (/.f64 (neg.f64 x.im) x.re) (neg.f64 x.re))
(/.f64 (neg.f64 x.im) (*.f64 (neg.f64 x.re) x.re))
(/.f64 (/.f64 x.im x.re) x.re)
(/.f64 x.im (*.f64 x.re x.re))
(neg.f64 (/.f64 (neg.f64 x.im) (*.f64 x.re x.re)))
(neg.f64 (/.f64 x.im (*.f64 (neg.f64 x.re) x.re)))
(*.f64 (+.f64 (/.f64 (neg.f64 x.im) x.re) #s(literal 1 binary64)) (-.f64 (/.f64 (neg.f64 x.im) x.re) #s(literal 1 binary64)))
(*.f64 (+.f64 (fabs.f64 (/.f64 x.im x.re)) #s(literal 1 binary64)) (-.f64 (fabs.f64 (/.f64 x.im x.re)) #s(literal 1 binary64)))
(*.f64 (+.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 (/.f64 x.im x.re) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 (/.f64 x.im x.re) #s(literal 4 binary64))))
(fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 x.im) (fabs.f64 x.re)) (/.f64 (neg.f64 x.im) (fabs.f64 x.re)) #s(literal -1 binary64))
(fma.f64 (/.f64 (fabs.f64 x.im) (neg.f64 x.re)) (/.f64 (fabs.f64 x.im) (neg.f64 x.re)) #s(literal -1 binary64))
(fma.f64 (/.f64 (fabs.f64 x.im) x.re) (/.f64 (fabs.f64 x.im) x.re) #s(literal -1 binary64))
(fma.f64 (/.f64 x.im (fabs.f64 x.re)) (/.f64 x.im (fabs.f64 x.re)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fabs.f64 (/.f64 x.im x.re))) (neg.f64 (fabs.f64 (/.f64 x.im x.re))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 (/.f64 x.im x.re))) (fabs.f64 (fabs.f64 (/.f64 x.im x.re))) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 (neg.f64 x.im) x.re) #s(literal -1 binary64))
(fma.f64 (neg.f64 x.im) (/.f64 (neg.f64 x.im) (*.f64 x.re x.re)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (/.f64 x.im x.re)) (fabs.f64 (/.f64 x.im x.re)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x.im) (/.f64 (fabs.f64 x.im) (*.f64 x.re x.re)) #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #s(literal -1 binary64))
(fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -1 binary64))
(fma.f64 x.im (/.f64 (/.f64 x.im x.re) x.re) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fabs.f64 (/.f64 x.im x.re))) (fabs.f64 (/.f64 x.im x.re))))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 (/.f64 x.im x.re) x.re)) x.im))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re)))
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re)))
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x.im x.re) (/.f64 (neg.f64 x.im) x.re)))
(+.f64 (/.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 6 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 (/.f64 x.im x.re) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 (/.f64 x.im x.re) #s(literal 4 binary64)))))
(+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))

eval48.0ms (0.9%)

Memory: 13.8MiB live, 59.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 12 377 to 1 524 computations (87.7% saved)

prune34.0ms (0.6%)

Memory

1.7MiB live, 47.3MiB allocated; 5ms collecting garbage

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	308	5	313
Fresh	2	3	5
Picked	1	4	5
Done	0	0	0
Total	311	12	323

Accuracy

100.0%

Counts

323 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.5%	(+.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.im) (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	66.1%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (neg.f64 x.re) x.re) (fma.f64 x.im (/.f64 x.im (.f64 x.re x.re)) #s(literal -1 binary64)))) x.im) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
▶	59.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
✓	56.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
▶	62.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
	62.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re))
▶	55.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
✓	62.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
✓	88.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re))) x.im))
▶	75.7%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (.f64 (fma.f64 (neg.f64 x.im) (/.f64 (neg.f64 x.im) (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re))) x.im))
	63.7%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 #s(approx ( (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (.f64 (.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x.re)) x.im) x.im)) x.re))) x.im))
✓	59.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))) x.im))

Compiler

Compiled 689 to 386 computations (44% saved)

simplify133.0ms (2.5%)

Memory

-19.0MiB live, 130.4MiB allocated; 10ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x.im)
cost-diff	0	(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
cost-diff	0	#s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 (.f64 (neg.f64 x.re) x.re) (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -1 binary64))))
cost-diff	0	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (neg.f64 x.re) x.re) (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -1 binary64)))) x.im)
cost-diff	3	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (neg.f64 x.re) x.re) (fma.f64 x.im (/.f64 x.im (.f64 x.re x.re)) #s(literal -1 binary64)))) x.im) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
cost-diff	5	(.f64 (.f64 (neg.f64 x.re) x.re) (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -1 binary64)))
cost-diff	0	(*.f64 x.re x.im)
cost-diff	0	(.f64 (.f64 x.re x.im) x.re)
cost-diff	0	(.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
cost-diff	0	(*.f64 #s(literal 3 binary64) x.im)
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
cost-diff	0	(.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (.f64 (fma.f64 (neg.f64 x.im) (/.f64 (neg.f64 x.im) (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re))) x.im)
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (.f64 (fma.f64 (neg.f64 x.im) (/.f64 (neg.f64 x.im) (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re))) x.im))
cost-diff	2	(fma.f64 (neg.f64 x.im) (/.f64 (neg.f64 x.im) (*.f64 x.re x.re)) #s(literal -3 binary64))
cost-diff	2	(.f64 (.f64 (fma.f64 (neg.f64 x.im) (/.f64 (neg.f64 x.im) (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	421
0	73	406
1	160	406
2	486	406
3	2471	354
0	8543	338

Stop Event

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

Calls

Call 1

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

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

localize164.0ms (3.1%)

Memory

27.2MiB live, 166.1MiB allocated; 11ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
accuracy	0.0	(neg.f64 x.im)
accuracy	25.686342739734574	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
accuracy	3.0963384618775933	(fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -1 binary64))
accuracy	4.1003383241742695	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (neg.f64 x.re) x.re) (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -1 binary64)))) x.im)
accuracy	6.202939294128535	(/.f64 x.im (*.f64 x.re x.re))
accuracy	9.7125558243628	(.f64 (.f64 (neg.f64 x.re) x.re) (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -1 binary64)))
accuracy	0.0	(*.f64 x.re x.im)
accuracy	0.09765625	(.f64 (.f64 x.re x.im) x.re)
accuracy	0.15234375	(.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
accuracy	24.126848497317233	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
accuracy	0.0	(*.f64 x.re x.re)
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.im)
accuracy	6.793323988124748	(.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
accuracy	24.126848497317233	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
accuracy	2.7153217807323387	(.f64 (fma.f64 (neg.f64 x.im) (/.f64 (neg.f64 x.im) (.f64 x.re x.re)) #s(literal -3 binary64)) x.re)
accuracy	3.0963384618775933	(fma.f64 (neg.f64 x.im) (/.f64 (neg.f64 x.im) (*.f64 x.re x.re)) #s(literal -3 binary64))
accuracy	4.115058670357382	(.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (.f64 (fma.f64 (neg.f64 x.im) (/.f64 (neg.f64 x.im) (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re))) x.im)
accuracy	6.202939294128535	(/.f64 (neg.f64 x.im) (*.f64 x.re x.re))

Samples

74.0ms	233×	0	valid
24.0ms	3×	3	valid
10.0ms	9×	4	valid
4.0ms	5×	2	valid
3.0ms	6×	1	valid

Compiler

Compiled 292 to 42 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 32.0ms (39.4% of total)

ival-pow: 27.0ms (33.3% of total)

ival-add: 8.0ms (9.9% of total)

adjust: 6.0ms (7.4% of total)

ival-div: 4.0ms (4.9% of total)

ival-neg: 3.0ms (3.7% of total)

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

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

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

exact: 0.0ms (0% of total)

series34.0ms (0.6%)

Memory

-29.4MiB live, 17.2MiB allocated; 3ms collecting garbage

Counts

23 → 52

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	x.im	@	-inf	((* (* (+ (* (neg x.im) (/ (neg x.im) (* x.re x.re))) -3) x.re) x.re) (+ (* (neg x.im) (/ (neg x.im) (* x.re x.re))) -3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.re) (* 3 x.im)) (* x.re x.re) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (* (* (neg x.re) x.re) (+ (* x.im (/ x.im (* x.re x.re))) -1)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (neg x.im) (/ (neg x.im) (* x.re x.re)) (* (+ (* (neg x.im) (/ (neg x.im) (* x.re x.re))) -3) x.re) (/ x.im (* x.re x.re)) (+ (* x.im (/ x.im (* x.re x.re))) -1))
4.0ms	x.im	@	inf	((* (* (+ (* (neg x.im) (/ (neg x.im) (* x.re x.re))) -3) x.re) x.re) (+ (* (neg x.im) (/ (neg x.im) (* x.re x.re))) -3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.re) (* 3 x.im)) (* x.re x.re) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (* (* (neg x.re) x.re) (+ (* x.im (/ x.im (* x.re x.re))) -1)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (neg x.im) (/ (neg x.im) (* x.re x.re)) (* (+ (* (neg x.im) (/ (neg x.im) (* x.re x.re))) -3) x.re) (/ x.im (* x.re x.re)) (+ (* x.im (/ x.im (* x.re x.re))) -1))
3.0ms	x.im	@	0	((* (* (+ (* (neg x.im) (/ (neg x.im) (* x.re x.re))) -3) x.re) x.re) (+ (* (neg x.im) (/ (neg x.im) (* x.re x.re))) -3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.re) (* 3 x.im)) (* x.re x.re) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (* (* (neg x.re) x.re) (+ (* x.im (/ x.im (* x.re x.re))) -1)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (neg x.im) (/ (neg x.im) (* x.re x.re)) (* (+ (* (neg x.im) (/ (neg x.im) (* x.re x.re))) -3) x.re) (/ x.im (* x.re x.re)) (+ (* x.im (/ x.im (* x.re x.re))) -1))
2.0ms	x.re	@	-inf	((* (* (+ (* (neg x.im) (/ (neg x.im) (* x.re x.re))) -3) x.re) x.re) (+ (* (neg x.im) (/ (neg x.im) (* x.re x.re))) -3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.re) (* 3 x.im)) (* x.re x.re) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (* (* (neg x.re) x.re) (+ (* x.im (/ x.im (* x.re x.re))) -1)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (neg x.im) (/ (neg x.im) (* x.re x.re)) (* (+ (* (neg x.im) (/ (neg x.im) (* x.re x.re))) -3) x.re) (/ x.im (* x.re x.re)) (+ (* x.im (/ x.im (* x.re x.re))) -1))
2.0ms	x.re	@	inf	((* (* (+ (* (neg x.im) (/ (neg x.im) (* x.re x.re))) -3) x.re) x.re) (+ (* (neg x.im) (/ (neg x.im) (* x.re x.re))) -3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.re) (* 3 x.im)) (* x.re x.re) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (* (* (neg x.re) x.re) (+ (* x.im (/ x.im (* x.re x.re))) -1)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (neg x.im) (/ (neg x.im) (* x.re x.re)) (* (+ (* (neg x.im) (/ (neg x.im) (* x.re x.re))) -3) x.re) (/ x.im (* x.re x.re)) (+ (* x.im (/ x.im (* x.re x.re))) -1))

simplify204.0ms (3.8%)

Memory

18.2MiB live, 161.3MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	476
1	332	462
2	1244	450
3	5908	450
0	8255	431

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 52

Calls

Call 1

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

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

rewrite84.0ms (1.6%)

Memory

-11.4MiB live, 80.7MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	329
0	73	316
1	280	296
0	1819	284

Stop Event

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

Counts

23 → 250

Calls

Call 1

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

Outputs
(.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) (fabs.f64 x.re)) (fabs.f64 x.re))
(.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) (neg.f64 x.re)) (neg.f64 x.re))
(.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)
(.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) (.f64 x.re x.re))
(.f64 (.f64 x.re x.re) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)))
(.f64 x.re (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re))
(/.f64 (.f64 (-.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) #s(literal 9 binary64)) (.f64 x.re x.re)) (-.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal -3 binary64)))
(/.f64 (.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) #s(literal -27 binary64)) (.f64 x.re x.re)) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im)) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 9 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (-.f64 #s(literal -3 binary64) (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im)))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) #s(literal 9 binary64))) (neg.f64 (-.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal -3 binary64))))
(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) #s(literal -27 binary64))) (neg.f64 (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im)) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))))
(/.f64 (-.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) #s(literal 9 binary64)) (-.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal -3 binary64)))
(/.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) #s(literal -27 binary64)) (+.f64 #s(literal 9 binary64) (-.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (.f64 (.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal -3 binary64)))))
(/.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) #s(literal -27 binary64)) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im)) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(fma.f64 (/.f64 (fabs.f64 x.im) (fabs.f64 x.re)) (/.f64 (fabs.f64 x.im) (fabs.f64 x.re)) #s(literal -3 binary64))
(fma.f64 (/.f64 (fabs.f64 x.im) (neg.f64 x.re)) (/.f64 (fabs.f64 x.im) (neg.f64 x.re)) #s(literal -3 binary64))
(fma.f64 (/.f64 (fabs.f64 x.im) x.re) (/.f64 (fabs.f64 x.im) x.re) #s(literal -3 binary64))
(fma.f64 (/.f64 (neg.f64 x.im) (fabs.f64 x.re)) (/.f64 (neg.f64 x.im) (fabs.f64 x.re)) #s(literal -3 binary64))
(fma.f64 (/.f64 x.im (fabs.f64 x.re)) (/.f64 x.im (fabs.f64 x.re)) #s(literal -3 binary64))
(fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64))
(fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 (neg.f64 x.im) x.re) #s(literal -3 binary64))
(fma.f64 (fabs.f64 x.im) (/.f64 (fabs.f64 x.im) (*.f64 x.re x.re)) #s(literal -3 binary64))
(fma.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im #s(literal -3 binary64))
(fma.f64 (/.f64 (/.f64 x.im x.re) (neg.f64 x.re)) (neg.f64 x.im) #s(literal -3 binary64))
(fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) (neg.f64 x.re)) #s(literal -3 binary64))
(fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64))
(-.f64 (/.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal -3 binary64))))
(-.f64 #s(literal -3 binary64) (.f64 (/.f64 x.im (.f64 x.re x.re)) (neg.f64 x.im)))
(-.f64 #s(literal -3 binary64) (.f64 (neg.f64 x.im) (/.f64 x.im (.f64 x.re x.re))))
(-.f64 #s(literal -3 binary64) (/.f64 (*.f64 x.im (/.f64 (neg.f64 x.im) x.re)) x.re))
(+.f64 (/.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im)) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))) (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im)) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))))
(+.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) (.f64 x.re x.re))) (neg.f64 x.im)))
(.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) (.f64 x.re x.re)))) x.im)
(.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) (.f64 x.re x.re))) (neg.f64 x.im))
(.f64 x.im (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) (.f64 x.re x.re)))))
(neg.f64 (.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) (.f64 x.re x.re))) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) (fabs.f64 x.re)) (fabs.f64 x.re))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) (neg.f64 x.re)) (neg.f64 x.re))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re)
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
(.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)
(.f64 (fabs.f64 x.re) (.f64 (fabs.f64 x.re) (*.f64 #s(literal 3 binary64) x.im)))
(.f64 (neg.f64 x.re) (.f64 (neg.f64 x.re) (*.f64 #s(literal 3 binary64) x.im)))
(.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
(.f64 (.f64 x.re x.im) (*.f64 #s(literal 3 binary64) x.re))
(.f64 (.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) x.re))
(.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
(.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re)))
(.f64 x.re (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im))
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 x.re)) x.re)
(.f64 (.f64 #s(literal -1 binary64) x.re) (neg.f64 x.re))
(*.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 x.re)) (neg.f64 (fabs.f64 x.re)))
(*.f64 (neg.f64 (neg.f64 x.re)) (neg.f64 (neg.f64 x.re)))
(*.f64 (fabs.f64 (fabs.f64 x.re)) (fabs.f64 (fabs.f64 x.re)))
(*.f64 (fabs.f64 x.re) (fabs.f64 x.re))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x.re) x.re))
(.f64 (.f64 (neg.f64 x.re) x.re) #s(literal -1 binary64))
(.f64 (neg.f64 x.re) (.f64 x.re #s(literal -1 binary64)))
(*.f64 (neg.f64 x.re) (neg.f64 x.re))
(.f64 x.re (.f64 (neg.f64 x.re) #s(literal -1 binary64)))
(*.f64 x.re x.re)
(pow.f64 (fabs.f64 x.re) #s(literal 2 binary64))
(pow.f64 (neg.f64 x.re) #s(literal 2 binary64))
(pow.f64 x.re #s(literal 2 binary64))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 x.re x.re)))
(neg.f64 (.f64 (.f64 x.re x.re) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 x.re) x.re))
(fabs.f64 (*.f64 x.re x.re))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 x.im #s(literal 3 binary64))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) (fabs.f64 x.re)) (fabs.f64 x.re))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) (neg.f64 x.re)) (neg.f64 x.re))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re)
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
(.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)
(.f64 (fabs.f64 x.re) (.f64 (fabs.f64 x.re) (*.f64 #s(literal 3 binary64) x.im)))
(.f64 (neg.f64 x.re) (.f64 (neg.f64 x.re) (*.f64 #s(literal 3 binary64) x.im)))
(.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
(.f64 (.f64 x.re x.im) (*.f64 #s(literal 3 binary64) x.re))
(.f64 (.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.im) x.re))
(.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
(.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re)))
(.f64 x.re (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im))
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(.f64 (.f64 x.re x.im) x.re)
(.f64 (.f64 x.re x.re) x.im)
(.f64 x.re (.f64 x.re x.im))
(.f64 x.im (.f64 x.re x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(.f64 (.f64 (fma.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im #s(literal -1 binary64)) (neg.f64 x.re)) x.re)
(.f64 (.f64 (fma.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im #s(literal -1 binary64)) x.re) (neg.f64 x.re))
(.f64 (fma.f64 (/.f64 x.im (.f64 x.re x.re)) x.im #s(literal -1 binary64)) (*.f64 (neg.f64 x.re) x.re))
(.f64 (.f64 (neg.f64 x.re) x.re) (fma.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im #s(literal -1 binary64)))
(.f64 (neg.f64 x.re) (.f64 (fma.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im #s(literal -1 binary64)) x.re))
(.f64 x.re (.f64 (neg.f64 x.re) (fma.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (neg.f64 x.re) x.re)) (-.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) #s(literal -1 binary64)) (.f64 (neg.f64 x.re) x.re)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im)) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 (neg.f64 x.re) x.re) (-.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (neg.f64 x.re) x.re) (+.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im)) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (neg.f64 x.re) x.re) x.im) (/.f64 x.im (.f64 x.re x.re))) (.f64 (.f64 (.f64 (neg.f64 x.re) x.re) x.im) (/.f64 x.im (.f64 x.re x.re)))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (.f64 (.f64 (.f64 (neg.f64 x.re) x.re) x.im) (/.f64 x.im (.f64 x.re x.re))) (.f64 x.re x.re)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (neg.f64 x.re) x.re) x.im) (/.f64 x.im (.f64 x.re x.re))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 (.f64 (neg.f64 x.re) x.re) x.im) (/.f64 x.im (.f64 x.re x.re))) (.f64 (.f64 (.f64 (neg.f64 x.re) x.re) x.im) (/.f64 x.im (.f64 x.re x.re))) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (neg.f64 x.re) x.re) x.im) (/.f64 x.im (.f64 x.re x.re))) (.f64 x.re x.re)))))
(neg.f64 (.f64 (fma.f64 (/.f64 x.im (.f64 x.re x.re)) x.im #s(literal -1 binary64)) (*.f64 x.re x.re)))
(neg.f64 (.f64 (.f64 x.re x.re) (fma.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im #s(literal -1 binary64))))
(neg.f64 (.f64 x.re (.f64 (fma.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im #s(literal -1 binary64)) x.re)))
(fma.f64 (.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) (neg.f64 x.re)) x.re (.f64 x.re x.re))
(fma.f64 (.f64 (.f64 (neg.f64 x.re) x.re) (/.f64 x.im (.f64 x.re x.re))) x.im (.f64 x.re x.re))
(fma.f64 (.f64 (.f64 (neg.f64 x.re) x.re) (/.f64 (/.f64 x.im x.re) (neg.f64 x.re))) (neg.f64 x.im) (*.f64 x.re x.re))
(fma.f64 (.f64 (.f64 (neg.f64 x.re) x.re) (neg.f64 x.im)) (/.f64 (/.f64 x.im x.re) (neg.f64 x.re)) (*.f64 x.re x.re))
(fma.f64 (.f64 (.f64 (neg.f64 x.re) x.re) x.im) (/.f64 x.im (.f64 x.re x.re)) (.f64 x.re x.re))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 x.re)) x.re (.f64 (.f64 (.f64 (neg.f64 x.re) x.re) x.im) (/.f64 x.im (*.f64 x.re x.re))))
(fma.f64 (.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) x.re) (neg.f64 x.re) (.f64 x.re x.re))
(fma.f64 (.f64 #s(literal -1 binary64) x.re) (neg.f64 x.re) (.f64 (.f64 (.f64 (neg.f64 x.re) x.re) x.im) (/.f64 x.im (*.f64 x.re x.re))))
(fma.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)) (.f64 (.f64 (.f64 (neg.f64 x.re) x.re) x.im) (/.f64 x.im (.f64 x.re x.re))))
(fma.f64 (neg.f64 (fabs.f64 x.re)) (neg.f64 (fabs.f64 x.re)) (.f64 (.f64 (.f64 (neg.f64 x.re) x.re) x.im) (/.f64 x.im (.f64 x.re x.re))))
(fma.f64 (neg.f64 (neg.f64 x.re)) (neg.f64 (neg.f64 x.re)) (.f64 (.f64 (.f64 (neg.f64 x.re) x.re) x.im) (/.f64 x.im (.f64 x.re x.re))))
(fma.f64 (fabs.f64 (fabs.f64 x.re)) (fabs.f64 (fabs.f64 x.re)) (.f64 (.f64 (.f64 (neg.f64 x.re) x.re) x.im) (/.f64 x.im (.f64 x.re x.re))))
(fma.f64 (fabs.f64 x.re) (fabs.f64 x.re) (.f64 (.f64 (.f64 (neg.f64 x.re) x.re) x.im) (/.f64 x.im (.f64 x.re x.re))))
(fma.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) (.f64 (neg.f64 x.re) x.re) (.f64 x.re x.re))
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(fma.f64 (/.f64 x.im (.f64 x.re x.re)) (.f64 x.im (.f64 (neg.f64 x.re) x.re)) (.f64 x.re x.re))
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(fma.f64 #s(literal -3 binary64) x.re (.f64 x.re (.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im)))
(fma.f64 x.re (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) (*.f64 #s(literal -3 binary64) x.re))
(fma.f64 x.re #s(literal -3 binary64) (.f64 (.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) x.re))
(fma.f64 x.re #s(literal -3 binary64) (.f64 x.re (.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im)))
(+.f64 (.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) x.re) (.f64 #s(literal -3 binary64) x.re))
(+.f64 (.f64 x.re (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im)) (.f64 #s(literal -3 binary64) x.re))
(+.f64 (.f64 #s(literal -3 binary64) x.re) (.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) x.re))
(+.f64 (.f64 #s(literal -3 binary64) x.re) (.f64 x.re (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im)))
(/.f64 (/.f64 x.im (fabs.f64 x.re)) (fabs.f64 x.re))
(/.f64 (/.f64 x.im x.re) x.re)
(/.f64 (/.f64 (neg.f64 x.im) x.re) (neg.f64 x.re))
(/.f64 (neg.f64 x.im) (*.f64 (neg.f64 x.re) x.re))
(/.f64 x.im (*.f64 x.re x.re))
(neg.f64 (/.f64 (/.f64 x.im x.re) (neg.f64 x.re)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im)))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im)) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))))
(/.f64 (-.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (.f64 (.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal -1 binary64)))))
(/.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im)) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(fma.f64 (/.f64 (fabs.f64 x.im) (fabs.f64 x.re)) (/.f64 (fabs.f64 x.im) (fabs.f64 x.re)) #s(literal -1 binary64))
(fma.f64 (/.f64 (fabs.f64 x.im) (neg.f64 x.re)) (/.f64 (fabs.f64 x.im) (neg.f64 x.re)) #s(literal -1 binary64))
(fma.f64 (/.f64 (fabs.f64 x.im) x.re) (/.f64 (fabs.f64 x.im) x.re) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 x.im) (fabs.f64 x.re)) (/.f64 (neg.f64 x.im) (fabs.f64 x.re)) #s(literal -1 binary64))
(fma.f64 (/.f64 x.im (fabs.f64 x.re)) (/.f64 x.im (fabs.f64 x.re)) #s(literal -1 binary64))
(fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 (neg.f64 x.im) x.re) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x.im) (/.f64 (fabs.f64 x.im) (*.f64 x.re x.re)) #s(literal -1 binary64))
(fma.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 x.im x.re) (neg.f64 x.re)) (neg.f64 x.im) #s(literal -1 binary64))
(fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) (neg.f64 x.re)) #s(literal -1 binary64))
(fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -1 binary64))
(-.f64 (/.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal -1 binary64))))
(-.f64 #s(literal -1 binary64) (.f64 (/.f64 x.im (.f64 x.re x.re)) (neg.f64 x.im)))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 x.im) (/.f64 x.im (.f64 x.re x.re))))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (/.f64 (neg.f64 x.im) x.re)) x.re))
(+.f64 (/.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im)) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im)) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))))
(+.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im))

eval61.0ms (1.2%)

Memory: -5.2MiB live, 53.8MiB allocated; 12ms collecting garbage
Compiler: Compiled 12 700 to 1 578 computations (87.6% saved)

prune24.0ms (0.5%)

Memory

34.2MiB live, 34.2MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	315	2	317
Fresh	0	3	3
Picked	1	4	5
Done	1	3	4
Total	317	12	329

Accuracy

100.0%

Counts

329 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.5%	(+.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.im) (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
✓	66.1%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (neg.f64 x.re) x.re) (fma.f64 x.im (/.f64 x.im (.f64 x.re x.re)) #s(literal -1 binary64)))) x.im) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
✓	59.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
✓	56.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
✓	62.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
	62.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re))
✓	55.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
✓	62.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
	75.7%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im #s(literal -3 binary64)) x.re) x.re))) x.im))
	54.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (.f64 #s(approx (+ (* (neg x.im) (/ (neg x.im) (* x.re x.re))) -3) (*.f64 (/.f64 x.im x.re) (/.f64 x.im x.re))) x.re) x.re))) x.im))
	63.7%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 #s(approx ( (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (.f64 (.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x.re)) x.im) x.im)) x.re))) x.im))
✓	59.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))) x.im))

Compiler

Compiled 1 226 to 389 computations (68.3% saved)

regimes54.0ms (1%)

Memory

-28.8MiB live, 18.2MiB allocated; 2ms collecting garbage

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

40.0ms	x.im
7.0ms	x.re
6.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
99.9%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
98.6%	2	`x.re`
99.1%	3	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes8.0ms (0.2%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
80.6%	2	`x.im`
95.1%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
87.3%	2	`x.re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes3.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
59.8%	1	`x.im`
59.8%	1	`x.re`
59.8%	1	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch16.0ms (0.3%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.373128018755239e+153	1.773449273095318e+156

Samples

9.0ms

128×

valid

Compiler

Compiled 486 to 304 computations (37.4% saved)

Precisions

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

ival-mult: 4.0ms (67.7% of total)

ival-sub: 1.0ms (16.9% of total)

ival-add: 1.0ms (16.9% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.321320320143585e-279	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify71.0ms (1.3%)

Memory

-16.3MiB live, 31.3MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	183
1	88	173
2	223	173
3	705	153
4	1927	153
5	5999	153

Stop Event

1×	node limit

Calls

Call 1

Inputs

(if (<=.f64 x.re #s(literal 7799999999999999662993259276744944044744793674331316722871614461873921322564221558610190161949860767151784985925172927759692277766751643944293093240471552 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))) x.im)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))))

(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -6386688990511103/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 #s(approx (+ (* (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))) x.im)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))))

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

Outputs
(if (<=.f64 x.re #s(literal 7799999999999999662993259276744944044744793674331316722871614461873921322564221558610190161949860767151784985925172927759692277766751643944293093240471552 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (.f64 x.im x.im))) x.im)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -6386688990511103/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 x.im x.im))) x.im)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -6386688990511103/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 x.im x.im)) (neg.f64 x.im))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))

derivations173.0ms (3.3%)

Memory

-24.4MiB live, 73.4MiB allocated; 6ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 183 to 44 computations (76% saved)

preprocess56.0ms (1%)

Memory: 26.3MiB live, 72.1MiB allocated; 6ms collecting garbage
Remove: (negabs x.im)
Compiler: Compiled 1 182 to 444 computations (62.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (25.8%)

explain253.0ms (4.8%)

preprocess343.0ms (6.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify290.0ms (5.5%)

localize50.0ms (1%)

series96.0ms (1.8%)

simplify241.0ms (4.6%)

rewrite60.0ms (1.1%)

eval38.0ms (0.7%)

prune6.0ms (0.1%)

simplify116.0ms (2.2%)

localize176.0ms (3.3%)

series64.0ms (1.2%)

simplify244.0ms (4.6%)

rewrite119.0ms (2.2%)

eval72.0ms (1.4%)

prune37.0ms (0.7%)

simplify121.0ms (2.3%)

localize127.0ms (2.4%)

series21.0ms (0.4%)

simplify203.0ms (3.8%)

rewrite91.0ms (1.7%)

eval48.0ms (0.9%)

prune34.0ms (0.6%)

simplify133.0ms (2.5%)

localize164.0ms (3.1%)

series34.0ms (0.6%)

simplify204.0ms (3.8%)

rewrite84.0ms (1.6%)

eval61.0ms (1.2%)

prune24.0ms (0.5%)

regimes54.0ms (1%)

regimes8.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch16.0ms (0.3%)

bsearch0.0ms (0%)

simplify71.0ms (1.3%)

derivations173.0ms (3.3%)

preprocess56.0ms (1%)

end0.0ms (0%)

Profiling