Metrics for math.cube on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

sample1.9s (22.8%)

Memory

25.6MiB live, 1 020.2MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 832.0ms

ival-mult: 622.0ms (74.7% of total)

ival-sub: 132.0ms (15.9% of total)

ival-add: 69.0ms (8.3% of total)

ival-true: 6.0ms (0.7% of total)

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

Bogosity

explain413.0ms (4.9%)

Memory

-6.2MiB live, 231.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
21	-	-	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
18	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`
12	-	-	`(-.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 (.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	21	0
↳	`(*.f64 x.re x.re)`	overflow	70
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	115
↳	`(*.f64 x.im x.im)`	overflow	57
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	overflow	118
↳	`(*.f64 x.im x.re)`	overflow	27
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`	overflow	73
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	27
↳	`(*.f64 x.re x.im)`	overflow	27
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	*no**	18	0
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	12	0
↳	`(*.f64 x.re x.re)`	overflow	70
↳	`(*.f64 x.im x.im)`	overflow	57

Confusion

	Predicted +	Predicted -
+	46	0
-	0	210

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	210
1	41
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

132.0ms

512×

valid

Compiler

Compiled 218 to 48 computations (78% saved)

Precisions

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

ival-mult: 34.0ms (80.9% of total)

ival-add: 5.0ms (11.9% of total)

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

ival-true: 1.0ms (2.4% of total)

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

preprocess342.0ms (4.1%)

Memory

-12.0MiB live, 271.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	107
1	99	89
2	300	85
3	1273	57
4	3603	55
5	5588	55
6	6486	55
7	6869	55
8	6989	55
9	7093	55
10	7100	55
0	11	19
0	20	19
1	34	17
2	69	17
3	155	11
4	367	11
5	1039	11
6	1954	11
7	5177	11
8	7566	11
0	8011	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 (neg.f64 x.im) x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) 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
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.4%	(+.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)

simplify157.0ms (1.9%)

Memory

38.6MiB live, 228.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
cost-diff	128	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	704	(+.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	34	59
2	69	59
3	155	53
4	367	53
5	1039	53
6	1954	53
7	5177	53
8	7566	53
0	8011	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 (neg.f64 x.im) x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) x.im)
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(.f64 (.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.re)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.im x.re)

localize31.0ms (0.4%)

Memory

-31.7MiB live, 54.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	2.6484271791510294	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	4.276933106177641	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy	5.324175402434322	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Samples

20.0ms

256×

valid

Compiler

Compiled 132 to 24 computations (81.8% saved)

Precisions

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

ival-mult: 9.0ms (71.9% of total)

ival-add: 2.0ms (16% of total)

ival-sub: 1.0ms (8% of total)

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

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

series12.0ms (0.1%)

Memory

25.2MiB live, 25.2MiB allocated

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 x.re x.re) (.f64 x.im x.im))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(.f64 (+.f64 (.f64 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 2))
(- (pow x.re 2) (pow x.im 2))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 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))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* 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))))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* x.im (+ (* -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 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (* (pow x.im 3) (+ 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
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.re x.re) (* x.im 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.re x.re) (* x.im 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.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms	x.re	@	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.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms	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.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify211.0ms (2.5%)

Memory

-7.0MiB live, 195.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	198
1	182	192
2	585	192
3	2566	192
4	7286	192
0	8076	187

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

rewrite70.0ms (0.8%)

Memory

-5.3MiB live, 72.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
0	20	51
1	79	39
0	540	38

Stop Event

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

Counts

5 → 77

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

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

eval13.0ms (0.2%)

Memory: -20.7MiB live, 24.1MiB allocated
Compiler: Compiled 2 351 to 322 computations (86.3% saved)

prune6.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	82	8	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	8	91

Accuracy

100.0%

Counts

91 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.2%	(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (neg.f64 x.im) x.im))) (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	82.3%	(+.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)))
▶	73.0%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)) x.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))
	62.5%	(+.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))
▶	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) #s(literal 3 binary64)) x.im))
▶	91.3%	#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 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
	54.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))

Compiler

Compiled 446 to 248 computations (44.4% saved)

simplify112.0ms (1.3%)

Memory

-1.0MiB live, 194.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (neg.f64 x.im) x.im))) (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))) x.im)
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	256	(-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))
cost-diff	448	(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (neg.f64 x.im) x.im))) (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	448	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff	832	(.f64 (.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)
cost-diff	896	(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im)
cost-diff	0	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
cost-diff	0	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	448	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 (*.f64 x.re x.re) #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 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))
cost-diff	0	(fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re)))
cost-diff	0	(neg.f64 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re))))
cost-diff	0	(.f64 (neg.f64 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im)
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	468
0	75	464
1	147	432
2	308	422
3	1028	394
4	3566	371
0	8238	364

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

localize141.0ms (1.7%)

Memory

4.0MiB live, 160.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.276933106177641	(.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (neg.f64 x.im) x.im))) (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))) x.im)
accuracy	5.324175402434322	(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (neg.f64 x.im) x.im))) (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy	8.484337844943706	(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im)))
accuracy	44.929644400481585	(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (neg.f64 x.im) x.im))) (-.f64 (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))
accuracy	2.651314898482688	(.f64 (.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)
accuracy	4.276933106177641	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)) x.im)
accuracy	4.9667074052300935	(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im)
accuracy	5.324175402434322	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy	0.11328125	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	4.276933106177641	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
accuracy	5.324175402434322	(+.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	25.29152225970156	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
accuracy	0.0	(*.f64 x.re x.re)
accuracy	0.140625	(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
accuracy	7.9314832606760195	(.f64 (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)
accuracy	23.91119673798269	#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))
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 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
accuracy	0.140625	(.f64 #s(literal -3 binary64) (.f64 x.re x.re))
accuracy	1.249986238027801	(fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re)))
accuracy	4.274944033009906	(.f64 (neg.f64 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im)

Samples

109.0ms

256×

valid

Compiler

Compiled 873 to 84 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 65.0ms (74% of total)

ival-add: 9.0ms (10.2% of total)

ival-sub: 4.0ms (4.6% of total)

ival-div: 3.0ms (3.4% of total)

ival-pow: 3.0ms (3.4% of total)

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

exact: 1.0ms (1.1% of total)

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

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

series36.0ms (0.4%)

Memory

16.9MiB live, 53.7MiB allocated

Counts

23 → 57

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

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

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	x.im	@	0	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) 3) x.im) (* (* x.re 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)) (+ (* 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.re x.im)) -1) x.im) (* (* (+ (* (/ x.re x.im) (/ x.re x.im)) -1) 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 x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))
7.0ms	x.im	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) 3) x.im) (* (* x.re 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)) (+ (* 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.re x.im)) -1) x.im) (* (* (+ (* (/ x.re x.im) (/ x.re x.im)) -1) 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 x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))
5.0ms	x.re	@	0	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) 3) x.im) (* (* x.re 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)) (+ (* 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.re x.im)) -1) x.im) (* (* (+ (* (/ x.re x.im) (/ x.re x.im)) -1) 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 x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))
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 (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) 3) x.im) (* (* x.re 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)) (+ (* 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.re x.im)) -1) x.im) (* (* (+ (* (/ x.re x.im) (/ x.re x.im)) -1) 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 x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))
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 (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) 3) x.im) (* (* x.re 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)) (+ (* 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.re x.im)) -1) x.im) (* (* (+ (* (/ x.re x.im) (/ x.re x.im)) -1) 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 x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- (* x.re x.re) (* x.im x.im)) x.im) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))

simplify282.0ms (3.4%)

Memory

-9.0MiB live, 169.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	467
1	375	441
2	1055	441
3	4638	441
0	8760	434

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 57

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

rewrite404.0ms (4.8%)

Memory

-26.7MiB live, 215.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	346
0	75	326
1	288	262
2	2068	262
0	8713	252

Stop Event

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

Counts

23 → 719

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 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
(.f64 (neg.f64 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im)
(neg.f64 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re))))
(fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))
(.f64 (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)
(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
(*.f64 x.re x.re)
(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(+.f64 (.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 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im)
(.f64 (.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)
(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (neg.f64 x.im) x.im))) (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))
(.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (neg.f64 x.im) x.im))) (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))) x.im)
(.f64 #s(literal -3 binary64) (.f64 x.re x.re))
(.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 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)) x.im)
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (neg.f64 x.im) x.im))) (-.f64 (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 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 x.im) (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))))
(.f64 (neg.f64 x.im) (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))
(.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im)) x.im))
(.f64 (neg.f64 (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))) x.im)
(.f64 (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) (neg.f64 x.im))
(.f64 x.im (neg.f64 (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (-.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im) (.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im)) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im)))))
(neg.f64 (.f64 (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) x.im))
(fma.f64 (pow.f64 (.f64 (neg.f64 x.im) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64)) (.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3 binary64)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (pow.f64 (neg.f64 x.im) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x.im) #s(literal 3/2 binary64)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 (neg.f64 x.im) x.im) #s(literal 3/2 binary64)) (.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im))
(fma.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (.f64 (.f64 (neg.f64 x.im) x.im) #s(literal -1 binary64)) x.im (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal -1 binary64) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (.f64 (neg.f64 x.im) x.im) (neg.f64 x.im) (.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im))
(fma.f64 (.f64 (neg.f64 x.im) x.im) x.im (.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im))
(fma.f64 (neg.f64 x.im) (.f64 (neg.f64 x.im) x.im) (.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im))
(fma.f64 (neg.f64 x.im) (.f64 x.im x.im) (.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (.f64 x.im x.im) (neg.f64 x.im) (.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im))
(fma.f64 (.f64 x.im x.im) x.im (.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im))
(fma.f64 x.im (.f64 (neg.f64 x.im) x.im) (.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im))
(fma.f64 x.im (.f64 x.im x.im) (.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im))
(-.f64 #s(literal 0 binary64) (.f64 (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) x.im))
(+.f64 (pow.f64 x.im #s(literal 3 binary64)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(.f64 #s(literal -1 binary64) (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))
(.f64 (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x.re x.re) #s(literal -3 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x.im x.im) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 x.re x.re) #s(literal -3 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 x.re x.re) #s(literal -3 binary64)) #s(literal -1 binary64)) (-.f64 (.f64 (.f64 (.f64 x.im x.im) #s(literal -1 binary64)) (.f64 (.f64 x.im x.im) #s(literal -1 binary64))) (.f64 (.f64 (.f64 (.f64 x.re x.re) #s(literal -3 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x.im x.im) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x.im x.im) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x.re x.re) #s(literal -3 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x.im x.im) #s(literal -1 binary64)) (.f64 (.f64 x.im x.im) #s(literal -1 binary64)) (-.f64 (.f64 (.f64 (.f64 (.f64 x.re x.re) #s(literal -3 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 x.re x.re) #s(literal -3 binary64)) #s(literal -1 binary64))) (.f64 (.f64 (.f64 x.im x.im) #s(literal -1 binary64)) (.f64 (.f64 (.f64 x.re x.re) #s(literal -3 binary64)) #s(literal -1 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 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (.f64 (neg.f64 x.im) x.im)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (neg.f64 (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im))) (neg.f64 (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im)))) (.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im)))))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (.f64 #s(literal 27 binary64) (pow.f64 x.re #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 (.f64 (neg.f64 x.im) x.im) (.f64 #s(literal 3 binary64) (.f64 x.re x.re))))))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))))) (neg.f64 (fma.f64 x.im x.im (.f64 #s(literal 3 binary64) (.f64 x.re x.re)))))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))))) (neg.f64 (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 #s(literal 3 binary64) (.f64 x.re x.re)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))))) (neg.f64 (fma.f64 x.im x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))))
(/.f64 (neg.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 (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))))) (fma.f64 x.im x.im (.f64 #s(literal 3 binary64) (.f64 x.re x.re))))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 x.im #s(literal 4 binary64))))
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(/.f64 (-.f64 (.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))) (pow.f64 x.im #s(literal 12 binary64)))) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64)))) (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.im #s(literal 8 binary64)) (pow.f64 (*.f64 x.im 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.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.im #s(literal 8 binary64)) (pow.f64 (*.f64 x.im 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))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.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 12 binary64)) (pow.f64 x.im #s(literal 12 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))))))
(fma.f64 (exp.f64 (log.f64 (.f64 (neg.f64 x.im) x.im))) (exp.f64 (log.f64 (.f64 (neg.f64 x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (pow.f64 (.f64 (neg.f64 x.im) #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 x.im x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (pow.f64 x.re #s(literal 3 binary64)) x.re (pow.f64 x.im #s(literal 4 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) x.im (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (neg.f64 x.im) x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (.f64 (neg.f64 x.im) x.im) (.f64 x.im x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (neg.f64 x.im) (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (.f64 x.re x.re) (.f64 x.re x.re) (pow.f64 x.im #s(literal 4 binary64)))
(fma.f64 (.f64 x.im x.im) (.f64 (neg.f64 x.im) x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (.f64 x.im x.im) (.f64 x.im x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 x.im (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 x.re (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #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.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))

eval252.0ms (3%)

Memory: 28.3MiB live, 138.9MiB allocated
Compiler: Compiled 35 082 to 3 088 computations (91.2% saved)

prune140.0ms (1.7%)

Memory

-31.9MiB live, 52.8MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	859	8	867
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	864	11	875

Accuracy

100.0%

Counts

875 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.0%	(+.f64 (.f64 (.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (.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))
	62.5%	(+.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))
	54.8%	#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)))
✓	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) #s(literal 3 binary64)) x.im))
▶	62.5%	#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)))
✓	91.3%	#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 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
▶	54.7%	#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 (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))) x.im))
▶	62.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)))
	62.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))

Compiler

Compiled 552 to 310 computations (43.8% saved)

simplify217.0ms (2.6%)

Memory

19.1MiB live, 141.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re)))
cost-diff	0	(.f64 (.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	2432	(.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.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	448	(+.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))
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 (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))
cost-diff	0	(neg.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))
cost-diff	0	(.f64 (neg.f64 #s(approx (+ ( x.im x.im) (* -3 (* 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 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))) x.im))
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 x.re (.f64 (*.f64 #s(literal 3 binary64) 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 x.re (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	361
0	70	335
1	143	335
2	361	311
3	1311	281
4	5737	281
0	8452	276

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

localize183.0ms (2.2%)

Memory

-7.2MiB live, 154.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.276933106177641	(.f64 (.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
accuracy	5.324175402434322	(+.f64 (.f64 (.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
accuracy	16.925822311777146	(/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re)))
accuracy	32.55746223702837	(.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
accuracy	0.11328125	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy	4.276933106177641	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
accuracy	5.324175402434322	(+.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))
accuracy	25.29152225970156	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.171875	(.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))
accuracy	23.91119673798269	#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 (+ (* x.im x.im) (* -3 (* 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 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))) x.im))
accuracy	4.274944033009906	(.f64 (neg.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))) x.im)
accuracy	35.01037550339325	#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.0859375	(.f64 x.re (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im))
accuracy	0.21875	(.f64 (.f64 #s(literal 3 binary64) x.re) x.im)
accuracy	23.91119673798269	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)))

Samples

110.0ms

256×

valid

Compiler

Compiled 675 to 80 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 78.0ms (84.3% of total)

ival-add: 9.0ms (9.7% of total)

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

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

ival-neg: 1.0ms (1.1% of total)

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

exact: 0.0ms (0% of total)

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

series112.0ms (1.3%)

Memory

-11.5MiB live, 27.2MiB allocated

Counts

21 → 78

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 x.re (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)))
(.f64 x.re (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im))
(.f64 (.f64 #s(literal 3 binary64) x.re) x.im)
(*.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 (neg.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))) x.im))
(.f64 (neg.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))) x.im)
(neg.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))
#s(approx (+ (* x.im x.im) (* -3 (* 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 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 (.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)) (*.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)
(.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(.f64 (.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re)))
(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
(+.f64 (.f64 (.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (.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))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 x.re)
(+ (* -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))
(* x.im x.re)
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(- (pow x.re 2) (pow x.im 2))
(pow x.re 2)
x.im
(* 2 (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(/ 1 x.im)
(+ (* -1 (/ (pow x.re 2) (pow x.im 3))) (/ 1 x.im))
(+ (* (pow x.re 2) (- (/ (pow x.re 2) (pow x.im 5)) (/ 1 (pow x.im 3)))) (/ 1 x.im))
(+ (* (pow x.re 2) (- (* (pow x.re 2) (+ (* -1 (/ (pow x.re 2) (pow x.im 7))) (/ 1 (pow x.im 5)))) (/ 1 (pow x.im 3)))) (/ 1 x.im))
(* 2 (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* (pow x.re 2) (+ 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) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(/ x.im (pow x.re 2))
(/ (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ x.im (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2))) (pow x.re 2))
(/ (- (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* 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)))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* -1 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2))))
(* x.im (+ (* (pow x.im 2) (- (/ (pow x.im 2) (pow x.re 6)) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))))
(* x.im (+ (* (pow x.im 2) (- (* (pow x.im 2) (+ (* -1 (/ (pow x.im 2) (pow x.re 8))) (/ 1 (pow x.re 6)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* (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 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(/ (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))) x.im)
(/ (- (+ 1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2))) x.im)
(/ (- (+ 1 (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2)))) x.im)
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* -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 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (/ (- (/ (pow x.re 2) (pow x.im 2)) 1) x.im))
(* -1 (/ (- (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))) x.im))
(* -1 (/ (- (/ (pow x.re 6) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 4) (pow x.im 4))))) x.im))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))

Calls

6 calls:

Time	Variable		Point	Expression
96.0ms	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 (* (* 3 x.re) x.im)) (* (* 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)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im x.re) (* 3 x.re)) (* x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (* (- (* x.re x.re) (* x.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.re))) (+ (* x.im x.im) (* x.re x.re))) (+ (* x.re x.im) (* x.im x.re)) (* (* (/ x.im (+ (* x.im x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re x.re))) (* (- x.re x.im) (+ x.im x.re))) (/ x.im (+ (* x.im x.im) (* x.re x.re))) (* (* x.re (+ x.im x.im)) x.re) (+ (* (* (/ x.im (+ (* x.im x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re x.re))) (* (- x.re x.im) (+ x.im x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
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 (* (* 3 x.re) x.im)) (* (* 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)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im x.re) (* 3 x.re)) (* x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (* (- (* x.re x.re) (* x.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.re))) (+ (* x.im x.im) (* x.re x.re))) (+ (* x.re x.im) (* x.im x.re)) (* (* (/ x.im (+ (* x.im x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re x.re))) (* (- x.re x.im) (+ x.im x.re))) (/ x.im (+ (* x.im x.im) (* x.re x.re))) (* (* x.re (+ x.im x.im)) x.re) (+ (* (* (/ x.im (+ (* x.im x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re x.re))) (* (- x.re x.im) (+ x.im x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
3.0ms	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 (* (* 3 x.re) x.im)) (* (* 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)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im x.re) (* 3 x.re)) (* x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (* (- (* x.re x.re) (* x.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.re))) (+ (* x.im x.im) (* x.re x.re))) (+ (* x.re x.im) (* x.im x.re)) (* (* (/ x.im (+ (* x.im x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re x.re))) (* (- x.re x.im) (+ x.im x.re))) (/ x.im (+ (* x.im x.im) (* x.re x.re))) (* (* x.re (+ x.im x.im)) x.re) (+ (* (* (/ x.im (+ (* x.im x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re x.re))) (* (- x.re x.im) (+ x.im x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
3.0ms	x.re	@	0	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* (* 3 x.re) x.im)) (* (* 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)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im x.re) (* 3 x.re)) (* x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (* (- (* x.re x.re) (* x.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.re))) (+ (* x.im x.im) (* x.re x.re))) (+ (* x.re x.im) (* x.im x.re)) (* (* (/ x.im (+ (* x.im x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re x.re))) (* (- x.re x.im) (+ x.im x.re))) (/ x.im (+ (* x.im x.im) (* x.re x.re))) (* (* x.re (+ x.im x.im)) x.re) (+ (* (* (/ x.im (+ (* x.im x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re x.re))) (* (- x.re x.im) (+ x.im x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
3.0ms	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 (* (* 3 x.re) x.im)) (* (* 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)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im x.re) (* 3 x.re)) (* x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (* (- (* x.re x.re) (* x.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.re))) (+ (* x.im x.im) (* x.re x.re))) (+ (* x.re x.im) (* x.im x.re)) (* (* (/ x.im (+ (* x.im x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re x.re))) (* (- x.re x.im) (+ x.im x.re))) (/ x.im (+ (* x.im x.im) (* x.re x.re))) (* (* x.re (+ x.im x.im)) x.re) (+ (* (* (/ x.im (+ (* x.im x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re x.re))) (* (- x.re x.im) (+ x.im x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)))

simplify205.0ms (2.5%)

Memory

32.3MiB live, 152.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	253	937
1	808	897
2	2589	888
0	8367	864

Stop Event

1×	iter limit
1×	node limit

Counts

78 → 77

Calls

Call 1

Inputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 x.re)
(+ (* -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))
(* x.im x.re)
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(- (pow x.re 2) (pow x.im 2))
(pow x.re 2)
x.im
(* 2 (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(/ 1 x.im)
(+ (* -1 (/ (pow x.re 2) (pow x.im 3))) (/ 1 x.im))
(+ (* (pow x.re 2) (- (/ (pow x.re 2) (pow x.im 5)) (/ 1 (pow x.im 3)))) (/ 1 x.im))
(+ (* (pow x.re 2) (- (* (pow x.re 2) (+ (* -1 (/ (pow x.re 2) (pow x.im 7))) (/ 1 (pow x.im 5)))) (/ 1 (pow x.im 3)))) (/ 1 x.im))
(* 2 (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* (pow x.re 2) (+ 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) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(/ x.im (pow x.re 2))
(/ (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ x.im (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2))) (pow x.re 2))
(/ (- (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* 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)))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* -1 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2))))
(* x.im (+ (* (pow x.im 2) (- (/ (pow x.im 2) (pow x.re 6)) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))))
(* x.im (+ (* (pow x.im 2) (- (* (pow x.im 2) (+ (* -1 (/ (pow x.im 2) (pow x.re 8))) (/ 1 (pow x.re 6)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* (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 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(/ (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))) x.im)
(/ (- (+ 1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2))) x.im)
(/ (- (+ 1 (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2)))) x.im)
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* -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 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (/ (- (/ (pow x.re 2) (pow x.im 2)) 1) x.im))
(* -1 (/ (- (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))) x.im))
(* -1 (/ (- (/ (pow x.re 6) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 4) (pow x.im 4))))) x.im))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))

Outputs
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) 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 (.f64 #s(literal 3 binary64) x.re) x.im)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(- (* 3 (pow x.re 2)) (pow x.im 2))
(fma.f64 (neg.f64 x.im) x.im (.f64 (.f64 #s(literal 3 binary64) x.re) x.re))
(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))
(* x.im x.re)
(*.f64 x.im x.re)
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) x.im)
(- (pow x.re 2) (pow x.im 2))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(pow x.re 2)
(*.f64 x.re 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 (* x.re (+ x.im (* -1 x.im)))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) x.im)
(/ 1 x.im)
(/.f64 #s(literal 1 binary64) x.im)
(+ (* -1 (/ (pow x.re 2) (pow x.im 3))) (/ 1 x.im))
(/.f64 (fma.f64 (/.f64 (neg.f64 x.re) x.im) (/.f64 x.re x.im) #s(literal 1 binary64)) x.im)
(+ (* (pow x.re 2) (- (/ (pow x.re 2) (pow x.im 5)) (/ 1 (pow x.im 3)))) (/ 1 x.im))
(fma.f64 (fma.f64 (/.f64 x.re (pow.f64 x.im #s(literal 5 binary64))) x.re (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 x.re x.re) (/.f64 #s(literal 1 binary64) x.im))
(+ (* (pow x.re 2) (- (* (pow x.re 2) (+ (* -1 (/ (pow x.re 2) (pow x.im 7))) (/ 1 (pow x.im 5)))) (/ 1 (pow x.im 3)))) (/ 1 x.im))
(fma.f64 (fma.f64 (/.f64 x.re (pow.f64 x.im #s(literal 5 binary64))) x.re (fma.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 7 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))))) (*.f64 x.re x.re) (/.f64 #s(literal 1 binary64) x.im))
(* 2 (* x.im (pow x.re 2)))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) 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 (-.f64 (.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(.f64 (-.f64 (.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* 3 (pow x.re 2))
(.f64 (.f64 #s(literal 3 binary64) x.re) x.re)
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) (.f64 x.re x.re))
(* -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))
(.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) (.f64 x.re x.re))
(* x.im (pow x.re 2))
(.f64 (.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(.f64 (.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(.f64 (-.f64 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 x.im (*.f64 x.re x.re))
(/ (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))) (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))
(/ (- (+ x.im (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2))) (pow x.re 2))
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 5 binary64)) (pow.f64 x.re #s(literal 4 binary64))) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(/ (- (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))
(/.f64 (-.f64 (-.f64 x.im (/.f64 (pow.f64 x.im #s(literal 7 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (-.f64 (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re) (/.f64 (pow.f64 x.im #s(literal 5 binary64)) (pow.f64 x.re #s(literal 4 binary64))))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(.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) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(.f64 (-.f64 (.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(.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) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 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 (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)
(- (* -1 (pow x.im 2)) (* -3 (pow x.re 2)))
(fma.f64 (neg.f64 x.im) x.im (.f64 (.f64 #s(literal 3 binary64) x.re) x.re))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) x.im)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(.f64 (.f64 x.re x.re) x.im)
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) x.im)
(* x.im (+ (* -1 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (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))
(* x.im (+ (* (pow x.im 2) (- (/ (pow x.im 2) (pow x.re 6)) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))))
(fma.f64 (fma.f64 (/.f64 x.im (pow.f64 x.re #s(literal 6 binary64))) x.im (/.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.im #s(literal 3 binary64)) (/.f64 x.im (*.f64 x.re x.re)))
(* x.im (+ (* (pow x.im 2) (- (* (pow x.im 2) (+ (* -1 (/ (pow x.im 2) (pow x.re 8))) (/ 1 (pow x.re 6)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))))
(fma.f64 (fma.f64 x.im (+.f64 (/.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 x.re #s(literal 8 binary64))) (/.f64 x.im (pow.f64 x.re #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.im #s(literal 3 binary64)) (/.f64 x.im (*.f64 x.re x.re)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) 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) (+ 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 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) (- (/ (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) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(/ (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))) x.im)
(/.f64 (fma.f64 (/.f64 (neg.f64 x.re) x.im) (/.f64 x.re x.im) #s(literal 1 binary64)) x.im)
(/ (- (+ 1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2))) x.im)
(/.f64 (-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64))) x.im)
(/ (- (+ 1 (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2)))) x.im)
(/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64))) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) x.im)
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -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)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (/ (- (/ (pow x.re 2) (pow x.im 2)) 1) x.im))
(/.f64 (fma.f64 (/.f64 (neg.f64 x.re) x.im) (/.f64 x.re x.im) #s(literal 1 binary64)) x.im)
(* -1 (/ (- (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))) x.im))
(/.f64 (-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64))) x.im)
(* -1 (/ (- (/ (pow x.re 6) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 4) (pow x.im 4))))) x.im))
(/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64))) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) x.im)
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(.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)))

rewrite404.0ms (4.8%)

Memory

-7.7MiB live, 260.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	299
0	70	291
1	259	235
2	1952	223
0	8310	214

Stop Event

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

Counts

21 → 1 138

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 x.re (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)))
(.f64 x.re (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im))
(.f64 (.f64 #s(literal 3 binary64) x.re) x.im)
(*.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 (neg.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))) x.im))
(.f64 (neg.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))) x.im)
(neg.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))
#s(approx (+ (* x.im x.im) (* -3 (* 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 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 (.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)) (*.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)
(.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(.f64 (.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re)))
(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
(+.f64 (.f64 (.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 (-.f64 x.re x.im) (+.f64 x.im 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 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
(.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
(.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 #s(literal 3 binary64) x.re) x.im) x.re)
(.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re))
(.f64 #s(literal 3 binary64) (.f64 x.re (*.f64 x.im x.re)))
(.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(.f64 x.re (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im))
(.f64 (.f64 #s(literal 3 binary64) x.im) x.re)
(.f64 (.f64 x.im #s(literal 3 binary64)) x.re)
(.f64 (.f64 x.im x.re) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) x.re) x.im)
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 x.im (.f64 #s(literal 3 binary64) x.re))
(.f64 x.re (.f64 #s(literal 3 binary64) x.im))
(.f64 x.re (.f64 x.im #s(literal 3 binary64)))
(*.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 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)) (neg.f64 x.im)))
(.f64 (.f64 x.im #s(literal -1 binary64)) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))
(.f64 #s(literal -1 binary64) (.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)) x.im))
(.f64 (neg.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))) x.im)
(.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)) (neg.f64 x.im))
(.f64 x.im (neg.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
(neg.f64 (.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)) x.im))
(-.f64 #s(literal 0 binary64) (.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)) x.im))
(.f64 #s(literal -1 binary64) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))
(.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))))
(neg.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)))) (/.f64 (pow.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)))))) (/.f64 (pow.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))))))
(-.f64 #s(literal 0 binary64) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))
(+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
#s(approx (+ (* x.im x.im) (* -3 (* 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 x.im x.re) x.re) #s(literal 3 binary64))
(.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 #s(literal 3 binary64) x.re) x.im) x.re)
(.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re))
(.f64 #s(literal 3 binary64) (.f64 x.re (*.f64 x.im x.re)))
(.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(.f64 x.re (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im))
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(.f64 (-.f64 (pow.f64 (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x.im x.im))) (pow.f64 (fma.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im (neg.f64 (.f64 #s(literal 2 binary64) x.im))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 2 binary64) x.im) (-.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im)) (pow.f64 (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im (neg.f64 (.f64 #s(literal 2 binary64) x.im))) (-.f64 (pow.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 x.im x.im)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x.im) (-.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im)) (pow.f64 (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x.im x.im)) (pow.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x.im x.im))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im (neg.f64 (.f64 #s(literal 2 binary64) x.im))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) x.im) (-.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im)) (pow.f64 (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 2 binary64)) (fma.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im (neg.f64 (.f64 #s(literal 2 binary64) x.im)))) (.f64 (fma.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im (neg.f64 (.f64 #s(literal 2 binary64) x.im))) (.f64 #s(literal 4 binary64) (.f64 x.im x.im)))) (.f64 (fma.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im (neg.f64 (.f64 #s(literal 2 binary64) x.im))) (fma.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im (neg.f64 (.f64 #s(literal 2 binary64) x.im)))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x.im x.im)) (pow.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x.im x.im)))) (neg.f64 (fma.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im (neg.f64 (.f64 #s(literal 2 binary64) x.im)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 x.im x.im) (-.f64 (pow.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 2 binary64)) (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) (.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) x.im) (-.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im)) (pow.f64 (.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x.im x.im))) (fma.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im (neg.f64 (.f64 #s(literal 2 binary64) x.im))))
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(fma.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (.f64 x.im #s(literal 1 binary64)) (pow.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)) #s(literal -1 binary64))) (.f64 #s(literal 2 binary64) x.im))
(fma.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (/.f64 (.f64 x.im #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 x.im #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (/.f64 x.im (pow.f64 (+.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 x.im #s(literal 4 binary64))) #s(literal -1 binary64))) (.f64 #s(literal 2 binary64) x.im))
(fma.f64 (/.f64 (.f64 (fma.f64 x.im 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 x.re) (-.f64 x.re x.im)) (pow.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (/.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) x.im) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (/.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (pow.f64 (+.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 x.im #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re)))) (fma.f64 x.im x.im (.f64 x.re x.re)) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (.f64 (.f64 x.im #s(literal 1 binary64)) (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (.f64 x.re #s(literal 2 binary64)) x.im (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) x.im) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x.im) #s(literal 3/2 binary64)) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(fma.f64 (pow.f64 x.re #s(literal 9 binary64)) (.f64 #s(literal 2 binary64) x.im) (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(fma.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re) (.f64 #s(literal 2 binary64) x.im))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 #s(literal 2 binary64) x.im))
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(fma.f64 #s(literal 0 binary64) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(fma.f64 (pow.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.im #s(literal -1 binary64))) (.f64 #s(literal 2 binary64) x.im))
(fma.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im) (.f64 #s(literal 2 binary64) x.im))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(fma.f64 (pow.f64 x.re #s(literal 6 binary64)) (.f64 #s(literal 2 binary64) x.im) (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) x.im) (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal -1 binary64)) (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (+.f64 x.re x.re) #s(literal 3 binary64)) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 8 binary64) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 x.im x.im)) (.f64 #s(literal 2 binary64) x.im) (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(fma.f64 #s(literal 2 binary64) (.f64 x.im x.re) (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(fma.f64 #s(literal 2 binary64) x.im (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(fma.f64 (.f64 #s(literal 2 binary64) x.im) (pow.f64 x.re #s(literal 9 binary64)) (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(fma.f64 (.f64 #s(literal 2 binary64) x.im) (pow.f64 x.re #s(literal 6 binary64)) (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(fma.f64 (.f64 #s(literal 2 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64)) (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(fma.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 #s(literal 4 binary64) (.f64 x.im x.im)) (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(fma.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 x.re x.re) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(fma.f64 (.f64 #s(literal 2 binary64) x.im) x.re (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(fma.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (.f64 x.im #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im (.f64 #s(literal 2 binary64) x.im))
(fma.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im) (.f64 #s(literal 2 binary64) x.im))
(fma.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.im x.re) (.f64 x.im #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.im x.re) x.im) (.f64 #s(literal 2 binary64) x.im))
(fma.f64 (.f64 x.im #s(literal 1 binary64)) (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))
(fma.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 #s(literal 2 binary64) x.im))
(fma.f64 (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 (+.f64 x.im x.re) (-.f64 x.re x.im))) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (.f64 x.re x.re) (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(fma.f64 x.im (.f64 (pow.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) #s(literal -1 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 x.im (+.f64 x.re x.re) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(fma.f64 x.im #s(literal 2 binary64) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(fma.f64 x.im (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im))
(fma.f64 x.re (.f64 #s(literal 2 binary64) x.im) (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x.im x.im)) (-.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))) (/.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) (.f64 #s(literal 2 binary64) x.im))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x.im x.im)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) (.f64 #s(literal 2 binary64) x.im))))
(+.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im))

eval281.0ms (3.4%)

Memory: -12.9MiB live, 187.0MiB allocated
Compiler: Compiled 48 895 to 3 553 computations (92.7% saved)

prune43.0ms (0.5%)

Memory

0.6MiB live, 78.6MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	1 106	6	1 112
Fresh	3	1	4
Picked	2	3	5
Done	0	2	2
Total	1 111	12	1 123

Accuracy

100.0%

Counts

1 123 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.1%	(fma.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im (.f64 #s(literal 2 binary64) x.im))
	46.0%	(+.f64 (.f64 (fma.f64 (.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) x.im) x.im (.f64 (.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) x.re) x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	29.4%	(+.f64 (.f64 (.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (.f64 (+.f64 x.im x.im) x.re))
	54.8%	#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) #s(literal 3 binary64)) x.im))
▶	62.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)))
✓	62.5%	#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)))
✓	91.3%	#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 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
▶	79.2%	#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 (+ ( x.im x.im) (* -3 (* 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)))) x.im))
✓	54.7%	#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 (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))) x.im))
▶	62.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re)))
✓	62.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)))

Compiler

Compiled 560 to 303 computations (45.9% saved)

simplify149.0ms (1.8%)

Memory

32.0MiB live, 228.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re)))
cost-diff	0	(.f64 (.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
cost-diff	448	(+.f64 (.f64 (.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (.f64 (+.f64 x.im x.im) x.re))
cost-diff	2432	(.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
cost-diff	0	(-.f64 x.re x.im)
cost-diff	0	(+.f64 x.im x.re)
cost-diff	0	(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
cost-diff	320	(fma.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im (.f64 #s(literal 2 binary64) x.im))
cost-diff	0	(*.f64 x.im x.re)
cost-diff	0	(.f64 (.f64 x.im x.re) x.re)
cost-diff	0	(.f64 (.f64 (*.f64 x.im x.re) 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.im x.re) x.re) #s(literal 3 binary64)))
cost-diff	0	(*.f64 x.im #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 x.im #s(literal 3 binary64)) x.re)
cost-diff	0	(.f64 x.re (.f64 (*.f64 x.im #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 x.re (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re)))
cost-diff	0	#s(approx (+ (* x.im x.im) (* -3 (* 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)))
cost-diff	0	(neg.f64 #s(approx (+ (* x.im x.im) (* -3 (* 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))))
cost-diff	0	(.f64 (neg.f64 #s(approx (+ ( x.im x.im) (* -3 (* 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)))) 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 (+ ( x.im x.im) (* -3 (* 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)))) x.im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	372
0	73	357
1	151	351
2	406	327
3	1414	303
4	6342	303
0	8088	297

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

localize124.0ms (1.5%)

Memory

-17.7MiB live, 229.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.5038856083020584	(+.f64 (.f64 (.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (.f64 (+.f64 x.im x.im) x.re))
accuracy	4.276933106177641	(.f64 (.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
accuracy	16.925822311777146	(/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re)))
accuracy	32.55746223702837	(.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
accuracy	0.0	(+.f64 x.im x.re)
accuracy	0.0	(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
accuracy	0.0	(*.f64 #s(literal 2 binary64) x.im)
accuracy	4.241776856177641	(fma.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im (.f64 #s(literal 2 binary64) x.im))
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.11328125	(.f64 (.f64 x.im x.re) x.re)
accuracy	0.16015625	(.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
accuracy	23.91119673798269	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)))
accuracy	0.0	(*.f64 x.im #s(literal 3 binary64))
accuracy	0.0859375	(.f64 x.re (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re))
accuracy	0.21484375	(.f64 (.f64 x.im #s(literal 3 binary64)) x.re)
accuracy	23.91119673798269	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re)))
accuracy	0.0	#s(approx (+ (* x.im x.im) (* -3 (* 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)))
accuracy	0.12337875976844201	(fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64))
accuracy	4.274944033009906	(.f64 (neg.f64 #s(approx (+ ( x.im x.im) (* -3 (* 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)))) x.im)
accuracy	10.048995366551457	(.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) (.f64 x.re x.re))

Samples

92.0ms

256×

valid

Compiler

Compiled 676 to 89 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 32.0ms (63.6% of total)

ival-add: 10.0ms (19.9% of total)

ival-div: 3.0ms (6% of total)

ival-sub: 2.0ms (4% of total)

ival-neg: 1.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.3%)

Memory

3.2MiB live, 41.7MiB allocated

Counts

23 → 110

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

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))
(* x.im (pow x.re 2))
(* x.im x.re)
(+ (* -1 (pow x.im 3)) (* 2 x.im))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
(+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))
(+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))
x.im
(+ x.im x.re)
(* -1 x.im)
(- x.re x.im)
(+ (* -1 (pow x.im 3)) (* x.re (+ (* 2 x.im) (* x.im (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* 2 x.im) (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(/ 1 x.im)
(+ (* -1 (/ (pow x.re 2) (pow x.im 3))) (/ 1 x.im))
(+ (* (pow x.re 2) (- (/ (pow x.re 2) (pow x.im 5)) (/ 1 (pow x.im 3)))) (/ 1 x.im))
(+ (* (pow x.re 2) (- (* (pow x.re 2) (+ (* -1 (/ (pow x.re 2) (pow x.im 7))) (/ 1 (pow x.im 5)))) (/ 1 (pow x.im 3)))) (/ 1 x.im))
(/ (pow x.im 2) (pow x.re 2))
(/ (+ (* -3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ (* -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))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ x.im (+ (* 2 (/ x.im x.re)) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im x.re)) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(/ x.im (pow x.re 2))
(/ (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ x.im (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2))) (pow x.re 2))
(/ (- (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))
-3
(- (/ (pow x.im 2) (pow x.re 2)) 3)
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (/ (pow x.im 2) x.re)) x.re))))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -2 x.im) (* -1 (* x.im (+ x.im (* -1 x.im))))) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -2 x.im) (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re))) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* x.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)))
(* 3 x.im)
(* x.im (+ 2 (pow x.re 2)))
(* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))
(+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))
(+ x.re (* -1 x.im))
(* x.im (+ (* 2 x.re) (pow x.re 2)))
(* x.im (+ (* 2 x.re) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 x.re) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* -1 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2))))
(* x.im (+ (* (pow x.im 2) (- (/ (pow x.im 2) (pow x.re 6)) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))))
(* x.im (+ (* (pow x.im 2) (- (* (pow x.im 2) (+ (* -1 (/ (pow x.im 2) (pow x.re 8))) (/ 1 (pow x.re 6)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))))
(* 2 x.im)
(* (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) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (- (/ x.re x.im) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ x.re (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(/ (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))) x.im)
(/ (- (+ 1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2))) x.im)
(/ (- (+ 1 (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2)))) x.im)
(* (pow x.im 2) (- (/ 1 (pow x.re 2)) (* 3 (/ 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 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))
(* (pow x.im 2) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))
(* (pow x.im 2) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))) x.im)) 1))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 x.re) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (/ (- (/ (pow x.re 2) (pow x.im 2)) 1) x.im))
(* -1 (/ (- (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))) x.im))
(* -1 (/ (- (/ (pow x.re 6) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 4) (pow x.im 4))))) x.im))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x.im	@	0	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* (* x.im 3) x.re)) (* (* x.im 3) x.re) (* x.im 3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im x.re) x.re) 3) (* (* x.im x.re) x.re) (* x.im x.re) (+ (* (* (+ x.im x.re) (- x.re x.im)) x.im) (* 2 x.im)) (* (+ x.im x.re) (- x.re x.im)) (+ x.im x.re) (- x.re x.im) (* (/ 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.re))) (+ (* x.im x.im) (* x.re x.re))) (* (- x.re x.im) (+ x.im x.re))) (* (+ x.im x.im) x.re)) (* (* (/ x.im (+ (* x.im x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re x.re))) (* (- x.re x.im) (+ x.im x.re))) (/ x.im (+ (* x.im x.im) (* x.re x.re))) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) (* x.re x.re)) (+ (* (/ x.im x.re) (/ x.im x.re)) -3) (* 2 x.im))
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)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* (* x.im 3) x.re)) (* (* x.im 3) x.re) (* x.im 3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im x.re) x.re) 3) (* (* x.im x.re) x.re) (* x.im x.re) (+ (* (* (+ x.im x.re) (- x.re x.im)) x.im) (* 2 x.im)) (* (+ x.im x.re) (- x.re x.im)) (+ x.im x.re) (- x.re x.im) (* (/ 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.re))) (+ (* x.im x.im) (* x.re x.re))) (* (- x.re x.im) (+ x.im x.re))) (* (+ x.im x.im) x.re)) (* (* (/ x.im (+ (* x.im x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re x.re))) (* (- x.re x.im) (+ x.im x.re))) (/ x.im (+ (* x.im x.im) (* x.re x.re))) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) (* x.re x.re)) (+ (* (/ x.im x.re) (/ x.im x.re)) -3) (* 2 x.im))
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)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* (* x.im 3) x.re)) (* (* x.im 3) x.re) (* x.im 3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im x.re) x.re) 3) (* (* x.im x.re) x.re) (* x.im x.re) (+ (* (* (+ x.im x.re) (- x.re x.im)) x.im) (* 2 x.im)) (* (+ x.im x.re) (- x.re x.im)) (+ x.im x.re) (- x.re x.im) (* (/ 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.re))) (+ (* x.im x.im) (* x.re x.re))) (* (- x.re x.im) (+ x.im x.re))) (* (+ x.im x.im) x.re)) (* (* (/ x.im (+ (* x.im x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re x.re))) (* (- x.re x.im) (+ x.im x.re))) (/ x.im (+ (* x.im x.im) (* x.re x.re))) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) (* x.re x.re)) (+ (* (/ x.im x.re) (/ x.im x.re)) -3) (* 2 x.im))
3.0ms	x.re	@	-inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* (* x.im 3) x.re)) (* (* x.im 3) x.re) (* x.im 3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im x.re) x.re) 3) (* (* x.im x.re) x.re) (* x.im x.re) (+ (* (* (+ x.im x.re) (- x.re x.im)) x.im) (* 2 x.im)) (* (+ x.im x.re) (- x.re x.im)) (+ x.im x.re) (- x.re x.im) (* (/ 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.re))) (+ (* x.im x.im) (* x.re x.re))) (* (- x.re x.im) (+ x.im x.re))) (* (+ x.im x.im) x.re)) (* (* (/ x.im (+ (* x.im x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re x.re))) (* (- x.re x.im) (+ x.im x.re))) (/ x.im (+ (* x.im x.im) (* x.re x.re))) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) (* x.re x.re)) (+ (* (/ x.im x.re) (/ x.im x.re)) -3) (* 2 x.im))
3.0ms	x.re	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* (* x.im 3) x.re)) (* (* x.im 3) x.re) (* x.im 3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im x.re) x.re) 3) (* (* x.im x.re) x.re) (* x.im x.re) (+ (* (* (+ x.im x.re) (- x.re x.im)) x.im) (* 2 x.im)) (* (+ x.im x.re) (- x.re x.im)) (+ x.im x.re) (- x.re x.im) (* (/ 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.re))) (+ (* x.im x.im) (* x.re x.re))) (* (- x.re x.im) (+ x.im x.re))) (* (+ x.im x.im) x.re)) (* (* (/ x.im (+ (* x.im x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re x.re))) (* (- x.re x.im) (+ x.im x.re))) (/ x.im (+ (* x.im x.im) (* x.re x.re))) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) (* x.re x.re)) (+ (* (/ x.im x.re) (/ x.im x.re)) -3) (* 2 x.im))

simplify118.0ms (1.4%)

Memory

-9.1MiB live, 186.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	353	1392
1	1132	1177
2	3788	1139
0	8666	1101

Stop Event

1×	iter limit
1×	node limit

Counts

110 → 108

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))
(* x.im (pow x.re 2))
(* x.im x.re)
(+ (* -1 (pow x.im 3)) (* 2 x.im))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
(+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))
(+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))
x.im
(+ x.im x.re)
(* -1 x.im)
(- x.re x.im)
(+ (* -1 (pow x.im 3)) (* x.re (+ (* 2 x.im) (* x.im (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* 2 x.im) (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(/ 1 x.im)
(+ (* -1 (/ (pow x.re 2) (pow x.im 3))) (/ 1 x.im))
(+ (* (pow x.re 2) (- (/ (pow x.re 2) (pow x.im 5)) (/ 1 (pow x.im 3)))) (/ 1 x.im))
(+ (* (pow x.re 2) (- (* (pow x.re 2) (+ (* -1 (/ (pow x.re 2) (pow x.im 7))) (/ 1 (pow x.im 5)))) (/ 1 (pow x.im 3)))) (/ 1 x.im))
(/ (pow x.im 2) (pow x.re 2))
(/ (+ (* -3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ (* -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))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ x.im (+ (* 2 (/ x.im x.re)) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im x.re)) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(/ x.im (pow x.re 2))
(/ (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ x.im (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2))) (pow x.re 2))
(/ (- (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))
-3
(- (/ (pow x.im 2) (pow x.re 2)) 3)
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (/ (pow x.im 2) x.re)) x.re))))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -2 x.im) (* -1 (* x.im (+ x.im (* -1 x.im))))) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -2 x.im) (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re))) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* x.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)))
(* 3 x.im)
(* x.im (+ 2 (pow x.re 2)))
(* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))
(+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))
(+ x.re (* -1 x.im))
(* x.im (+ (* 2 x.re) (pow x.re 2)))
(* x.im (+ (* 2 x.re) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 x.re) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* -1 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2))))
(* x.im (+ (* (pow x.im 2) (- (/ (pow x.im 2) (pow x.re 6)) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))))
(* x.im (+ (* (pow x.im 2) (- (* (pow x.im 2) (+ (* -1 (/ (pow x.im 2) (pow x.re 8))) (/ 1 (pow x.re 6)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))))
(* 2 x.im)
(* (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) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (- (/ x.re x.im) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ x.re (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(/ (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))) x.im)
(/ (- (+ 1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2))) x.im)
(/ (- (+ 1 (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2)))) x.im)
(* (pow x.im 2) (- (/ 1 (pow x.re 2)) (* 3 (/ 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 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))
(* (pow x.im 2) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))
(* (pow x.im 2) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))) x.im)) 1))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 x.re) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (/ (- (/ (pow x.re 2) (pow x.im 2)) 1) x.im))
(* -1 (/ (- (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))) x.im))
(* -1 (/ (- (/ (pow x.re 6) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 4) (pow x.im 4))))) x.im))

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

rewrite159.0ms (1.9%)

Memory

-0.9MiB live, 277.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	322
0	73	297
1	292	259
2	2419	247
0	8299	238

Stop Event

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

Counts

23 → 862

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 (+ ( x.im x.im) (* -3 (* 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)))) x.im))
(.f64 (neg.f64 #s(approx (+ ( x.im x.im) (* -3 (* 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)))) x.im)
(neg.f64 #s(approx (+ (* x.im x.im) (* -3 (* 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))))
#s(approx (+ (* x.im x.im) (* -3 (* 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)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re)))
(.f64 x.re (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re))
(.f64 (.f64 x.im #s(literal 3 binary64)) x.re)
(*.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 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)))
(.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
(.f64 (.f64 x.im x.re) x.re)
(*.f64 x.im x.re)
(fma.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im (.f64 #s(literal 2 binary64) x.im))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(+.f64 x.im x.re)
(-.f64 x.re x.im)
(.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(+.f64 (.f64 (.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (.f64 (+.f64 x.im x.im) x.re))
(.f64 (.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(/.f64 x.im (fma.f64 x.im x.im (*.f64 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))
(fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64))
(*.f64 #s(literal 2 binary64) 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 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.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 (.f64 x.im #s(literal -1 binary64)) #s(approx (+ (* x.im x.im) (* -3 (* x.re 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 #s(literal -1 binary64) (.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (.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 (neg.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.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 (+ ( x.im x.im) (* -3 (* x.re x.re))) (.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 (+ ( x.im x.im) (* -3 (* x.re x.re))) (.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 (+ ( x.im x.im) (* -3 (* x.re x.re))) (.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(literal 0 binary64) (.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.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(literal -1 binary64) #s(approx (+ ( x.im x.im) (* -3 (* x.re 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 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (.f64 x.re x.re) (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (.f64 (.f64 x.re x.re) (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) #s(approx (+ (* x.im x.im) (* -3 (* x.re 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 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (.f64 (.f64 x.re x.re) (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (.f64 (.f64 x.re x.re) (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) #s(approx (+ ( x.im x.im) (* -3 (* x.re 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 #s(literal 0 binary64) (pow.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (.f64 (.f64 x.re x.re) (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) #s(approx (+ (* x.im x.im) (* -3 (* x.re 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 #s(literal 0 binary64) (pow.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (.f64 (.f64 x.re x.re) (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (.f64 (.f64 x.re x.re) (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (.f64 x.re x.re) (+.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))))))))
(neg.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re 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 #s(literal 0 binary64) #s(approx (+ (* x.im x.im) (* -3 (* x.re 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 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (.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.im x.im) (* -3 (* x.re x.re))) (.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 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
(.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re))
(.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
(.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(.f64 (.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re))
(.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
(.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(.f64 x.im (.f64 x.re (*.f64 #s(literal 3 binary64) x.re)))
(.f64 x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re))
(.f64 x.re (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re))
(.f64 (.f64 #s(literal 3 binary64) x.re) x.im)
(.f64 (.f64 x.im x.re) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) x.im) x.re)
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 x.im (.f64 #s(literal 3 binary64) x.re))
(.f64 x.re (.f64 #s(literal 3 binary64) x.im))
(*.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 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
(.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re))
(.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
(.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(.f64 (.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re))
(.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
(.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(.f64 x.im (.f64 x.re (*.f64 #s(literal 3 binary64) x.re)))
(.f64 x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re))
(.f64 x.re (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re))
(.f64 (.f64 x.im x.re) x.re)
(.f64 (.f64 x.re x.re) x.im)
(.f64 x.im (.f64 x.re x.re))
(.f64 x.re (.f64 x.im x.re))
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)) x.im)
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x.im)) (pow.f64 (.f64 x.im (-.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) #s(literal 0 binary64)) (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)))
(pow.f64 (/.f64 (.f64 x.im (-.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x.im))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) #s(literal 0 binary64)) (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x.im) (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x.im)))) (neg.f64 (neg.f64 (.f64 x.im (-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) #s(literal 0 binary64)) (pow.f64 (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)) (.f64 x.im (-.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)))) (.f64 (.f64 x.im (-.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) x.im))) (.f64 (.f64 x.im (-.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64))) (.f64 x.im (-.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) x.im) (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x.im))) (neg.f64 (.f64 x.im (-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) x.im (-.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) (.f64 #s(literal 2 binary64) x.im))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) #s(literal 0 binary64)) (pow.f64 (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x.im)) (.f64 x.im (-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x.im (-.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x.im)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 0 binary64))) #s(literal 0 binary64)) (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (-.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x.im))))
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(.f64 (.f64 x.im x.im) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64)))
(.f64 (.f64 x.im x.im) (pow.f64 (*.f64 #s(literal 2 binary64) x.re) #s(literal 2 binary64)))
(.f64 (.f64 x.im x.im) (pow.f64 (+.f64 x.re x.re) #s(literal 2 binary64)))
(.f64 (.f64 x.im x.im) #s(literal 4 binary64))
(.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x.im)))
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(*.f64 x.im (+.f64 x.re x.re))
(*.f64 x.im #s(literal 2 binary64))
(.f64 x.re (.f64 #s(literal 2 binary64) x.im))
(pow.f64 (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 5 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 9/2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal -2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3/2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 4 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 6 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 9 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal -3 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) x.im))) #s(literal 0 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im))) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.re)) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) x.re)) #s(literal 0 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re)) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))))) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))))) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 0 binary64))) (neg.f64 (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x.im #s(literal 9 binary64)))) (neg.f64 (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x.im x.im) #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (.f64 x.im x.im))) #s(literal 0 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 (pow.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64)) #s(literal 0 binary64))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.re) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 3 binary64)) #s(literal 0 binary64))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x.im #s(literal 9 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) x.im)) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im)) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 (.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x.im #s(literal 9 binary64))) (pow.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) x.im)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x.im))
(/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.im x.im #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) x.im) x.im (.f64 (*.f64 #s(literal 2 binary64) x.im) x.im))
(fma.f64 (.f64 x.im x.re) x.re (.f64 (*.f64 x.im x.re) x.re))
(fma.f64 (.f64 x.re x.re) x.im (.f64 (*.f64 x.im x.re) x.re))
(fma.f64 x.im (.f64 #s(literal 2 binary64) x.im) (.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(fma.f64 x.im (.f64 x.re x.re) (.f64 (*.f64 x.im x.re) x.re))
(fma.f64 x.im x.re (*.f64 x.im x.re))
(fma.f64 x.re (.f64 x.im x.re) (.f64 (*.f64 x.im x.re) x.re))
(fma.f64 x.re x.im (*.f64 x.im x.re))
(-.f64 (/.f64 (.f64 x.im x.im) #s(literal 0 binary64)) (/.f64 (.f64 x.im x.im) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (fma.f64 (log.f64 x.re) #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x.im))))
(exp.f64 (+.f64 (log.f64 (.f64 #s(literal 2 binary64) x.im)) (.f64 (log.f64 x.re) #s(literal 3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x.im)) #s(literal 3/2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.im)))
(+.f64 (.f64 x.im (.f64 #s(literal 2 binary64) x.im)) (.f64 x.im (.f64 #s(literal 2 binary64) x.im)))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) x.im) x.im) (.f64 (.f64 #s(literal 2 binary64) x.im) x.im))
(+.f64 (.f64 (.f64 x.im x.re) x.re) (.f64 (.f64 x.im x.re) x.re))
(+.f64 (.f64 x.im x.re) (.f64 x.im x.re))
(+.f64 x.im x.im)

eval117.0ms (1.4%)

Memory: 35.7MiB live, 192.4MiB allocated
Compiler: Compiled 25 387 to 2 919 computations (88.5% saved)

prune33.0ms (0.4%)

Memory

-32.1MiB live, 91.4MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	860	5	865
Fresh	0	2	2
Picked	3	2	5
Done	0	5	5
Total	863	14	877

Accuracy

100.0%

Counts

877 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.0%	(+.f64 (.f64 (fma.f64 (.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) x.im) x.im (.f64 (.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) x.re) x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	26.2%	(+.f64 (.f64 (.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 #s(approx (- x.re x.im) (neg.f64 x.im)) (+.f64 x.im x.re))) (.f64 (+.f64 x.im x.im) x.re))
	57.1%	(*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)) x.im)
	54.8%	#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) #s(literal 3 binary64)) x.im))
✓	62.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)))
✓	62.5%	#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)))
✓	91.3%	#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 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
	71.5%	#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 (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (fma.f64 x.im (/.f64 x.im (.f64 x.re x.re)) #s(literal -3 binary64)) (*.f64 x.re x.re)))) x.im))
✓	54.7%	#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 (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))) x.im))
✓	62.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re)))
✓	62.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)))
	36.7%	#s(approx (+ (* (* (/ x.im (+ (* x.im x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re x.re))) (* (- x.re x.im) (+ x.im x.re))) (* (+ x.im x.im) x.re)) (.f64 (.f64 x.im x.re) (+.f64 #s(literal 2 binary64) x.re)))
	40.8%	#s(approx (+ (* (* (+ x.im x.re) (- x.re x.im)) x.im) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))

Compiler

Compiled 1 204 to 378 computations (68.6% saved)

regimes25.0ms (0.3%)

Memory

4.5MiB live, 42.7MiB allocated

Counts

28 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

10.0ms	x.re
7.0ms	x.im
7.0ms	(+.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
97.9%	2	`x.re`
98.8%	3	`x.im`
99.8%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes5.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

18 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

4.0ms

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

Results

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes4.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

(+.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
99.6%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes13.0ms (0.2%)

Memory

-18.0MiB live, 20.5MiB allocated

Counts

10 → 3

Calls

Call 1

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

Calls

3 calls:

6.0ms	x.re
3.0ms	x.im
3.0ms	(+.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
83.6%	2	`x.im`
84.2%	2	`x.re`
96.9%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

4 → 3

Calls

Call 1

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

Calls

1 calls:

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
96.9%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes5.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
62.3%	2	`x.im`
73.0%	2	`x.re`
75.5%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs

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

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

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

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

Calls

1 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))

Results

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes6.0ms (0.1%)

Memory

-31.5MiB live, 10.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x.im
1.0ms	x.re
1.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
40.8%	1	`x.im`
40.8%	1	`x.re`
40.8%	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)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.7487912256983922e+248	2.615825550606795e+297

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.219077251484748e+233	2.0428682638893888e+235

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.4244115e-317	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.4244115e-317	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.4244115e-317	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	9.610166396160074e-276	3.1210048633462992e-235

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.4244115e-317	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify46.0ms (0.6%)

Memory

27.4MiB live, 66.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	780
1	167	758
2	409	744
3	1411	696
4	6236	696

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 499999999999999960548416541607351328777021384687611118643325884835920630831966800139023707085267707205518204055907116200520239285727065764214062887637864581182125170853648392988706023732518458057027666759600481533739104277734798607669877628825763840 binary64)) (+.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)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (.f64 #s(literal 3 binary64) x.re) x.im))) (.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)) x.im)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 500000000000000008932922589403465161869764464983330902721886700279835046843346211837913774809974621039574077870438123630035862892627704080387855403711076771169001716823298010480011962421165907982822736097060355087078349785802142121984 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 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re)))) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 x.im x.re) x.re) #s(literal 3 binary64))) (.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)) x.im)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -2024023/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im))) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (.f64 #s(literal 3 binary64) x.re) x.im))) (.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)) x.im)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -2024023/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im))) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (.f64 #s(literal 3 binary64) 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 (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -2024023/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im))) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 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 (neg.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 6237000967295999/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464 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 (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im))) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (* (/ x.im (+ (* x.im x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re x.re))) (* (- x.re x.im) (+ x.im x.re))) (* (+ x.im x.im) x.re)) (.f64 (.f64 x.im x.re) (+.f64 #s(literal 2 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 (neg.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -2024023/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im))) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (* (+ x.im x.re) (- x.re x.im)) x.im) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))) x.im))))
#s(approx (+ (* (* (+ x.im x.re) (- x.re x.im)) x.im) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))

Outputs
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 499999999999999960548416541607351328777021384687611118643325884835920630831966800139023707085267707205518204055907116200520239285727065764214062887637864581182125170853648392988706023732518458057027666759600481533739104277734798607669877628825763840 binary64)) (+.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)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (.f64 #s(literal 3 binary64) x.re) x.im))) (.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)) x.im)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 500000000000000008932922589403465161869764464983330902721886700279835046843346211837913774809974621039574077870438123630035862892627704080387855403711076771169001716823298010480011962421165907982822736097060355087078349785802142121984 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 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re)))) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 x.im x.re) x.re) #s(literal 3 binary64))) (.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)) x.im)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -2024023/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im))) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (.f64 #s(literal 3 binary64) x.re) x.im))) (.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)) x.im)))
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(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -2024023/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im))) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (.f64 #s(literal 3 binary64) 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 (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))) x.im))))
(if (or (<=.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 -2024023/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (not (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)) (neg.f64 x.im))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -2024023/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im))) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 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 (neg.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))) x.im))))
(if (or (<=.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 -2024023/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (not (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)) (neg.f64 x.im))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 6237000967295999/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464 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 (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im))) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (* (/ x.im (+ (* x.im x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re x.re))) (* (- x.re x.im) (+ x.im x.re))) (* (+ x.im x.im) x.re)) (.f64 (.f64 x.im x.re) (+.f64 #s(literal 2 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 (neg.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))) x.im))))
(if (or (<=.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 6237000967295999/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464 binary64)) (not (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)) (neg.f64 x.im))) #s(approx (+ ( (* (/ x.im (+ (* x.im x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re x.re))) (* (- x.re x.im) (+ x.im x.re))) (* (+ x.im x.im) x.re)) (.f64 (.f64 x.im x.re) (+.f64 #s(literal 2 binary64) 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 -2024023/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im))) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (* (+ x.im x.re) (- x.re x.im)) x.im) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))) x.im))))
(if (or (<=.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 -2024023/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (not (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)) (neg.f64 x.im))) #s(approx (+ ( (* (+ x.im x.re) (- x.re x.im)) x.im) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im)))
#s(approx (+ (* (* (+ x.im x.re) (- x.re x.im)) x.im) (* 2 x.im)) (.f64 (.f64 x.re x.re) x.im))

soundness1.4s (16.5%)

Memory

0.5MiB live, 784.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	346
0	75	326
1	288	262
2	2068	262
0	8713	252
0	45	299
0	70	291
1	259	235
2	1952	223
0	8310	214
0	11	51
0	20	51
1	79	39
0	540	38
0	353	1392
1	1132	1177
2	3788	1139
0	8666	1101
0	123	467
1	375	441
2	1055	441
3	4638	441
0	8760	434
0	45	322
0	73	297
1	292	259
2	2419	247
0	8299	238
0	57	198
1	182	192
2	585	192
3	2566	192
4	7286	192
0	8076	187

Stop Event

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

Compiler

Compiled 1 240 to 368 computations (70.3% saved)

preprocess179.0ms (2.1%)

Memory: -16.7MiB live, 223.8MiB allocated
Remove: (abs x.re)
Compiler: Compiled 2 240 to 444 computations (80.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.9s (22.8%)

explain413.0ms (4.9%)

preprocess342.0ms (4.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify157.0ms (1.9%)

localize31.0ms (0.4%)

series12.0ms (0.1%)

simplify211.0ms (2.5%)

rewrite70.0ms (0.8%)

eval13.0ms (0.2%)

prune6.0ms (0.1%)

simplify112.0ms (1.3%)

localize141.0ms (1.7%)

series36.0ms (0.4%)

simplify282.0ms (3.4%)

rewrite404.0ms (4.8%)

eval252.0ms (3%)

prune140.0ms (1.7%)

simplify217.0ms (2.6%)

localize183.0ms (2.2%)

series112.0ms (1.3%)

simplify205.0ms (2.5%)

rewrite404.0ms (4.8%)

eval281.0ms (3.4%)

prune43.0ms (0.5%)

simplify149.0ms (1.8%)

localize124.0ms (1.5%)

series21.0ms (0.3%)

simplify118.0ms (1.4%)

rewrite159.0ms (1.9%)

eval117.0ms (1.4%)

prune33.0ms (0.4%)

regimes25.0ms (0.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes13.0ms (0.2%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify46.0ms (0.6%)

soundness1.4s (16.5%)

preprocess179.0ms (2.1%)

end0.0ms (0%)

Profiling