Metrics for math.cube on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

sample1.4s (23.3%)

Memory

19.5MiB live, 1 623.2MiB allocated; 313ms collecting garbage

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 768.0ms

ival-mult: 588.0ms (76.5% of total)

ival-add: 88.0ms (11.5% of total)

ival-sub: 81.0ms (10.5% of total)

ival-true: 6.0ms (0.8% of total)

adjust: 3.0ms (0.4% of total)

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

Bogosity

explain338.0ms (5.7%)

Memory

-52.2MiB live, 424.0MiB allocated; 113ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`	nan-rescue	22	0
↳	`(*.f64 x.re x.re)`	overflow	66
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	120
↳	`(*.f64 x.im x.im)`	overflow	73
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	overflow	127
↳	`(*.f64 x.im x.re)`	overflow	39
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`	overflow	71
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	39
↳	`(*.f64 x.re x.im)`	overflow	39
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	19	0
↳	`(*.f64 x.re x.re)`	overflow	66
↳	`(*.f64 x.im x.im)`	overflow	73
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	*no**	13	0

Confusion

	Predicted +	Predicted -
+	44	0
-	0	212

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	212
1	34
2	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

135.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 19.0ms (71.2% of total)

ival-add: 4.0ms (15% of total)

ival-sub: 2.0ms (7.5% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess312.0ms (5.3%)

Memory

-0.4MiB live, 379.6MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x.re)

(negabs x.im)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify276.0ms (4.7%)

Memory

5.5MiB live, 324.8MiB allocated; 43ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	6	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize195.0ms (3.3%)

Memory

-30.1MiB live, 85.8MiB allocated; 32ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	3.1162783181402713	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy	4.292948108302059	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	5.5507358382645275	(+.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 67 to 13 computations (80.6% saved)

Precisions

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

ival-mult: 9.0ms (71.6% of total)

ival-add: 2.0ms (15.9% of total)

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

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

adjust: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

Counts

5 → 22

Calls

Call 1

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

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

Calls

6 calls:

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

simplify246.0ms (4.2%)

Memory

18.0MiB live, 207.0MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

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

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

rewrite73.0ms (1.2%)

Memory

-9.3MiB live, 36.8MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 119

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))))))
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eval12.0ms (0.2%)

Memory: 22.8MiB live, 22.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 305 to 482 computations (85.4% saved)

prune21.0ms (0.4%)

Memory

-31.0MiB live, 13.2MiB allocated; 7ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	129	6	135
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	6	136

Accuracy

100.0%

Counts

136 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.0%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #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)))
▶	69.9%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (neg.f64 x.re) x.re) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -1 binary64)))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	53.6%	(+.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))
	58.5%	#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)))
▶	53.6%	#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))
▶	91.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))) x.im))

Compiler

Compiled 334 to 190 computations (43.1% saved)

simplify86.0ms (1.4%)

Memory

8.1MiB live, 70.0MiB allocated; 5ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	395
0	77	397
1	157	375
2	465	369
3	2001	361
0	8311	358

Stop Event

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

Calls

Call 1

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

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

localize155.0ms (2.6%)

Memory

-8.3MiB live, 127.9MiB allocated; 12ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	3.1162783181402713	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (neg.f64 x.re) x.re) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -1 binary64)))) x.im)
accuracy	5.5507358382645275	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (neg.f64 x.re) x.re) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -1 binary64)))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy	13.321063995491212	(.f64 (.f64 (neg.f64 x.re) x.re) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -1 binary64)))
accuracy	3.1162783181402713	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy	4.292948108302059	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	5.5507358382645275	(+.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)))
accuracy	6.4818212120384215	(.f64 (.f64 (*.f64 x.re x.re) #s(literal 2 binary64)) x.im)
accuracy	0.1484375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	0.1484375	(.f64 (.f64 x.im x.re) x.re)
accuracy	5.5507358382645275	(+.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))
accuracy	29.619444241436376	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re))
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.11328125	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
accuracy	0.1953125	(.f64 (.f64 #s(literal 3 binary64) x.re) x.im)
accuracy	29.604083386781593	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
accuracy	0.0	(neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (.f64 x.im x.im)))
accuracy	0.0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))) x.im))
accuracy	2.312475228450042	(fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (.f64 x.im x.im))
accuracy	3.1429761560085225	(.f64 (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))) x.im)

Samples

105.0ms

256×

valid

Compiler

Compiled 312 to 34 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 25.0ms (52.9% of total)

ival-add: 16.0ms (33.8% of total)

ival-div: 2.0ms (4.2% of total)

ival-neg: 2.0ms (4.2% of total)

ival-sub: 1.0ms (2.1% of total)

exact: 1.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

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

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

series40.0ms (0.7%)

Memory

-16.1MiB live, 37.5MiB allocated; 7ms collecting garbage

Counts

22 → 40

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	x.im	@	-inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.im x.re) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (* (* x.re x.re) 2) x.im) (* (* (neg x.re) x.re) (+ (* (/ x.im x.re) (/ x.im x.re)) -1)))
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 (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.im x.re) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (* (* x.re x.re) 2) x.im) (* (* (neg x.re) x.re) (+ (* (/ x.im x.re) (/ x.im x.re)) -1)))
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 (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.im x.re) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (* (* x.re x.re) 2) x.im) (* (* (neg x.re) x.re) (+ (* (/ x.im x.re) (/ x.im x.re)) -1)))
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)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.im x.re) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (* (* x.re x.re) 2) x.im) (* (* (neg x.re) x.re) (+ (* (/ x.im x.re) (/ x.im x.re)) -1)))
3.0ms	x.im	@	0	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.im x.re) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (* (* x.re x.re) 2) x.im) (* (* (neg x.re) x.re) (+ (* (/ x.im x.re) (/ x.im x.re)) -1)))

simplify148.0ms (2.5%)

Memory

35.2MiB live, 126.5MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	399
1	283	384
2	1040	384
3	4810	384
0	8071	373

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 40

Calls

Call 1

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

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

rewrite57.0ms (1%)

Memory

-21.7MiB live, 25.4MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	305
0	77	301
0	255	289

Stop Event

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

Counts

22 → 87

Calls

Call 1

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

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

eval13.0ms (0.2%)

Memory: 25.9MiB live, 25.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 770 to 468 computations (90.2% saved)

prune97.0ms (1.6%)

Memory

-29.8MiB live, 69.6MiB allocated; 14ms collecting garbage

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	128	6	134
Fresh	0	1	1
Picked	3	2	5
Done	0	0	0
Total	131	9	140

Accuracy

100.0%

Counts

140 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.4%	(/.f64 (-.f64 (.f64 #s(approx ( (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re))) (.f64 (.f64 (fma.f64 x.im x.re (.f64 x.im x.re)) x.re) (.f64 (fma.f64 x.im x.re (.f64 x.im x.re)) x.re))) (-.f64 #s(approx ( (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (.f64 (fma.f64 x.im x.re (.f64 x.im x.re)) x.re)))
	58.5%	#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)))
▶	48.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
✓	53.6%	#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))
▶	53.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re))
▶	53.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re)))
✓	91.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))) x.im))
▶	86.5%	#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 (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re))) x.im))
▶	58.5%	#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 (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))) x.im))

Compiler

Compiled 578 to 280 computations (51.6% saved)

simplify111.0ms (1.9%)

Memory

31.4MiB live, 123.0MiB allocated; 7ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	367
0	58	367
1	122	357
2	305	357
3	998	327
4	2994	327
0	8175	319

Stop Event

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

Calls

Call 1

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

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

localize129.0ms (2.2%)

Memory

-28.2MiB live, 116.3MiB allocated; 18ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x.re x.re)
accuracy	0.1328125	(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
accuracy	6.478449082533549	(.f64 (.f64 x.re x.re) x.im)
accuracy	29.604083386781593	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.11328125	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)
accuracy	0.2265625	(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
accuracy	29.604083386781593	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re))
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.20703125	(.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re))
accuracy	29.604083386781593	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re)))
accuracy	0.0	(neg.f64 #s(approx (+ (* (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im)))
accuracy	0.0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))) x.im))
accuracy	3.1429761560085225	(.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))) x.im)
accuracy	28.87554524098009	#s(approx (+ (* (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))
accuracy	0.13347626953688402	(fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64))
accuracy	3.1429761560085225	(.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re))) x.im)
accuracy	3.6127991289977697	(.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)
accuracy	4.056486505889806	(*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re)

Samples

45.0ms	234×	0	valid
32.0ms	10×	3	valid
4.0ms	5×	4	valid
2.0ms	5×	1	valid
1.0ms	2×	2	valid

Compiler

Compiled 254 to 31 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 36.0ms (54.2% of total)

adjust: 21.0ms (31.6% of total)

ival-add: 5.0ms (7.5% of total)

ival-div: 2.0ms (3% of total)

ival-sub: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory

31.9MiB live, 31.9MiB allocated; 0ms collecting garbage

Counts

22 → 42

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
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 (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.re) (* x.im x.re)) (* 3 x.re) (* x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 (* x.im x.re)) x.re) (* 3 (* x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (+ (* (/ x.im x.re) (/ x.im x.re)) -3))
2.0ms	x.re	@	-inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.re) (* x.im x.re)) (* 3 x.re) (* x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 (* x.im x.re)) x.re) (* 3 (* x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (+ (* (/ x.im x.re) (/ x.im x.re)) -3))
2.0ms	x.im	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.re) (* x.im x.re)) (* 3 x.re) (* x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 (* x.im x.re)) x.re) (* 3 (* x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (+ (* (/ x.im x.re) (/ x.im x.re)) -3))
2.0ms	x.im	@	-inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.re) (* x.im x.re)) (* 3 x.re) (* x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 (* x.im x.re)) x.re) (* 3 (* x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (+ (* (/ x.im x.re) (/ x.im x.re)) -3))
2.0ms	x.re	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.re) (* x.im x.re)) (* 3 x.re) (* x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 (* x.im x.re)) x.re) (* 3 (* x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (+ (* (/ x.im x.re) (/ x.im x.re)) -3))

simplify189.0ms (3.2%)

Memory

-31.9MiB live, 157.8MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	382
1	280	376
2	1090	368
3	5261	368
0	8015	353

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 42

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

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

rewrite70.0ms (1.2%)

Memory

6.5MiB live, 52.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	345
0	58	338
1	193	318
0	1239	305

Stop Event

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

Counts

22 → 142

Calls

Call 1

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

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

eval16.0ms (0.3%)

Memory: 22.3MiB live, 22.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 5 678 to 714 computations (87.4% saved)

prune67.0ms (1.1%)

Memory

-13.2MiB live, 42.2MiB allocated; 4ms collecting garbage

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	0	2	2
Picked	1	4	5
Done	0	2	2
Total	142	10	152

Accuracy

100.0%

Counts

152 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.4%	(/.f64 (-.f64 (.f64 #s(approx ( (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re))) (.f64 (.f64 (fma.f64 x.im x.re (.f64 x.im x.re)) x.re) (.f64 (fma.f64 x.im x.re (.f64 x.im x.re)) x.re))) (-.f64 #s(approx ( (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (.f64 (fma.f64 x.im x.re (.f64 x.im x.re)) x.re)))
▶	58.5%	#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)))
✓	48.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
✓	53.6%	#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))
▶	53.6%	#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))
✓	53.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re)))
✓	91.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))) x.im))
✓	86.5%	#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 (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re))) x.im))
▶	72.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 #s(approx ( (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (.f64 (.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x.re)) x.im) x.im)) x.re))) x.im))
✓	58.5%	#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 (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))) x.im))

Compiler

Compiled 379 to 190 computations (49.9% saved)

simplify146.0ms (2.5%)

Memory

7.6MiB live, 100.6MiB allocated; 6ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	1	(fma.f64 x.im x.re (*.f64 x.im x.re))
cost-diff	1	(-.f64 (.f64 #s(approx ( (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re))) (.f64 (.f64 (fma.f64 x.im x.re (.f64 x.im x.re)) x.re) (.f64 (fma.f64 x.im x.re (*.f64 x.im x.re)) x.re)))
cost-diff	4	(.f64 (.f64 (fma.f64 x.im x.re (.f64 x.im x.re)) x.re) (.f64 (fma.f64 x.im x.re (*.f64 x.im x.re)) x.re))
cost-diff	21	(/.f64 (-.f64 (.f64 #s(approx ( (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re))) (.f64 (.f64 (fma.f64 x.im x.re (.f64 x.im x.re)) x.re) (.f64 (fma.f64 x.im x.re (.f64 x.im x.re)) x.re))) (-.f64 #s(approx ( (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (.f64 (fma.f64 x.im x.re (.f64 x.im x.re)) x.re)))
cost-diff	0	(neg.f64 x.im)
cost-diff	0	(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
cost-diff	0	(*.f64 #s(literal 3 binary64) x.im)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) x.im) x.re)
cost-diff	0	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
cost-diff	0	#s(approx (+ (* (* -3 x.re) x.re) (* x.im x.im)) (.f64 #s(approx ( (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (.f64 (.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x.re)) x.im) x.im)) x.re))
cost-diff	0	(neg.f64 #s(approx (+ (* (* -3 x.re) x.re) (* x.im x.im)) (.f64 #s(approx ( (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (.f64 (.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x.re)) x.im) x.im)) x.re)))
cost-diff	0	(.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 #s(approx ( (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (.f64 (.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x.re)) x.im) x.im)) x.re))) x.im)
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 #s(approx ( (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (.f64 (.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x.re)) x.im) x.im)) x.re))) x.im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	595
0	74	579
1	173	573
2	581	523
3	2920	519
0	8473	503

Stop Event

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

Calls

Call 1

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

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

localize224.0ms (3.8%)

Memory

7.2MiB live, 152.5MiB allocated; 14ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	12.2498988556801	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (.f64 (fma.f64 x.im x.re (.f64 x.im x.re)) x.re))
accuracy	24.5037617581144	(-.f64 (.f64 #s(approx ( (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re))) (.f64 (.f64 (fma.f64 x.im x.re (.f64 x.im x.re)) x.re) (.f64 (fma.f64 x.im x.re (*.f64 x.im x.re)) x.re)))
accuracy	29.619444241436376	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re))
accuracy	49.53478445514417	(/.f64 (-.f64 (.f64 #s(approx ( (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re))) (.f64 (.f64 (fma.f64 x.im x.re (.f64 x.im x.re)) x.re) (.f64 (fma.f64 x.im x.re (.f64 x.im x.re)) x.re))) (-.f64 #s(approx ( (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (.f64 (fma.f64 x.im x.re (.f64 x.im x.re)) x.re)))
accuracy	0.0	(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
accuracy	0.0	(neg.f64 x.im)
accuracy	26.54047318733144	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.im)
accuracy	0.11328125	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
accuracy	0.18359375	(.f64 (.f64 #s(literal 3 binary64) x.im) x.re)
accuracy	29.604083386781593	#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))
accuracy	3.6127991289977697	(.f64 #s(approx ( (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (.f64 (.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x.re)) x.im) x.im)) x.re)
accuracy	6.424764217175299	(.f64 (.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x.re)) x.im) x.im)
accuracy	6.7070112475802475	(.f64 (fma.f64 (/.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x.re)) x.im)
accuracy	7.076591629114905	(/.f64 x.re (*.f64 x.im x.im))

Samples

166.0ms	221×	0	valid
13.0ms	13×	3	valid
8.0ms	7×	4	valid
5.0ms	9×	1	valid
5.0ms	6×	2	valid

Compiler

Compiled 384 to 45 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-mult: 69.0ms (43.7% of total)

ival-add: 41.0ms (26% of total)

ival-div: 26.0ms (16.5% of total)

adjust: 10.0ms (6.3% of total)

ival-pow: 6.0ms (3.8% of total)

ival-sub: 3.0ms (1.9% of total)

ival-neg: 2.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.9%)

Memory

-28.9MiB live, 63.0MiB allocated; 15ms collecting garbage

Counts

21 → 87

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	x.im	@	-inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (neg x.im) (/ (- (* (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (- (* x.re x.re) (* x.im x.im)) x.im)) (* (* (+ (* x.im x.re) (* x.im x.re)) x.re) (* (+ (* x.im x.re) (* x.im x.re)) x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.im x.re) (* x.im x.re)) x.re))) (* (* (+ (* x.im x.re) (* x.im x.re)) x.re) (* (+ (* x.im x.re) (* x.im x.re)) x.re)) (- (* (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (- (* x.re x.re) (* x.im x.im)) x.im)) (* (* (+ (* x.im x.re) (* x.im x.re)) x.re) (* (+ (* x.im x.re) (* x.im x.re)) x.re))) (+ (* x.im x.re) (* x.im x.re)) (/ x.re (* x.im x.im)) (* (+ (* (/ x.re (* x.im x.im)) -3) (/ 1 x.re)) x.im) (* (* (+ (* (/ x.re (* x.im x.im)) -3) (/ 1 x.re)) x.im) x.im) (* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.im x.re) (* x.im x.re)) x.re)))
14.0ms	x.re	@	0	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (neg x.im) (/ (- (* (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (- (* x.re x.re) (* x.im x.im)) x.im)) (* (* (+ (* x.im x.re) (* x.im x.re)) x.re) (* (+ (* x.im x.re) (* x.im x.re)) x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.im x.re) (* x.im x.re)) x.re))) (* (* (+ (* x.im x.re) (* x.im x.re)) x.re) (* (+ (* x.im x.re) (* x.im x.re)) x.re)) (- (* (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (- (* x.re x.re) (* x.im x.im)) x.im)) (* (* (+ (* x.im x.re) (* x.im x.re)) x.re) (* (+ (* x.im x.re) (* x.im x.re)) x.re))) (+ (* x.im x.re) (* x.im x.re)) (/ x.re (* x.im x.im)) (* (+ (* (/ x.re (* x.im x.im)) -3) (/ 1 x.re)) x.im) (* (* (+ (* (/ x.re (* x.im x.im)) -3) (/ 1 x.re)) x.im) x.im) (* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.im x.re) (* x.im x.re)) x.re)))
6.0ms	x.im	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (neg x.im) (/ (- (* (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (- (* x.re x.re) (* x.im x.im)) x.im)) (* (* (+ (* x.im x.re) (* x.im x.re)) x.re) (* (+ (* x.im x.re) (* x.im x.re)) x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.im x.re) (* x.im x.re)) x.re))) (* (* (+ (* x.im x.re) (* x.im x.re)) x.re) (* (+ (* x.im x.re) (* x.im x.re)) x.re)) (- (* (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (- (* x.re x.re) (* x.im x.im)) x.im)) (* (* (+ (* x.im x.re) (* x.im x.re)) x.re) (* (+ (* x.im x.re) (* x.im x.re)) x.re))) (+ (* x.im x.re) (* x.im x.re)) (/ x.re (* x.im x.im)) (* (+ (* (/ x.re (* x.im x.im)) -3) (/ 1 x.re)) x.im) (* (* (+ (* (/ x.re (* x.im x.im)) -3) (/ 1 x.re)) x.im) x.im) (* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.im x.re) (* x.im x.re)) x.re)))
6.0ms	x.re	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (neg x.im) (/ (- (* (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (- (* x.re x.re) (* x.im x.im)) x.im)) (* (* (+ (* x.im x.re) (* x.im x.re)) x.re) (* (+ (* x.im x.re) (* x.im x.re)) x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.im x.re) (* x.im x.re)) x.re))) (* (* (+ (* x.im x.re) (* x.im x.re)) x.re) (* (+ (* x.im x.re) (* x.im x.re)) x.re)) (- (* (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (- (* x.re x.re) (* x.im x.im)) x.im)) (* (* (+ (* x.im x.re) (* x.im x.re)) x.re) (* (+ (* x.im x.re) (* x.im x.re)) x.re))) (+ (* x.im x.re) (* x.im x.re)) (/ x.re (* x.im x.im)) (* (+ (* (/ x.re (* x.im x.im)) -3) (/ 1 x.re)) x.im) (* (* (+ (* (/ x.re (* x.im x.im)) -3) (/ 1 x.re)) x.im) x.im) (* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.im x.re) (* x.im x.re)) x.re)))
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 (+ (* (* -3 x.re) x.re) (* x.im x.im))) x.im) (neg (+ (* (* -3 x.re) x.re) (* x.im x.im))) (+ (* (* -3 x.re) x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.im) x.re) x.re) (* (* 3 x.im) x.re) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (neg x.im) (/ (- (* (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (- (* x.re x.re) (* x.im x.im)) x.im)) (* (* (+ (* x.im x.re) (* x.im x.re)) x.re) (* (+ (* x.im x.re) (* x.im x.re)) x.re))) (- (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.im x.re) (* x.im x.re)) x.re))) (* (* (+ (* x.im x.re) (* x.im x.re)) x.re) (* (+ (* x.im x.re) (* x.im x.re)) x.re)) (- (* (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (- (* x.re x.re) (* x.im x.im)) x.im)) (* (* (+ (* x.im x.re) (* x.im x.re)) x.re) (* (+ (* x.im x.re) (* x.im x.re)) x.re))) (+ (* x.im x.re) (* x.im x.re)) (/ x.re (* x.im x.im)) (* (+ (* (/ x.re (* x.im x.im)) -3) (/ 1 x.re)) x.im) (* (* (+ (* (/ x.re (* x.im x.im)) -3) (/ 1 x.re)) x.im) x.im) (* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.im x.re) (* x.im x.re)) x.re)))

simplify222.0ms (3.7%)

Memory

35.9MiB live, 225.0MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	335	2225
1	1025	1712
2	4634	1614
0	8478	1538

Stop Event

1×	iter limit
1×	node limit

Counts

87 → 87

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

rewrite173.0ms (2.9%)

Memory

3.6MiB live, 138.0MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	495
0	74	396
1	303	380
0	2292	370

Stop Event

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

Counts

21 → 292

Calls

Call 1

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

eval105.0ms (1.8%)

Memory: -26.8MiB live, 74.1MiB allocated; 30ms collecting garbage
Compiler: Compiled 31 203 to 1 839 computations (94.1% saved)

prune42.0ms (0.7%)

Memory

-2.8MiB live, 45.8MiB allocated; 4ms collecting garbage

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	452	2	454
Fresh	0	0	0
Picked	2	2	4
Done	0	6	6
Total	454	10	464

Accuracy

100.0%

Counts

464 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.4%	(/.f64 (-.f64 (.f64 #s(approx ( (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re))) (.f64 (.f64 (fma.f64 x.im x.re (.f64 x.im x.re)) x.re) (.f64 (fma.f64 x.im x.re (.f64 x.im x.re)) x.re))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.im x.re) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.re) x.im) x.re)))
✓	58.5%	#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)))
✓	48.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
✓	53.6%	#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))
✓	53.6%	#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))
✓	53.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re)))
✓	91.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))) x.im))
✓	86.5%	#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 (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re))) x.im))
	55.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 #s(approx ( (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (.f64 #s(approx ( (+ (* (/ x.re (* x.im x.im)) -3) (/ 1 x.re)) x.im) (/.f64 x.im x.re)) x.im)) x.re))) x.im))
✓	58.5%	#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 (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))) x.im))

Compiler

Compiled 1 038 to 320 computations (69.2% saved)

regimes15.0ms (0.3%)

Memory

32.0MiB live, 32.0MiB allocated; 0ms collecting garbage

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.9%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
96.7%	2	`x.re`
99.3%	3	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes13.0ms (0.2%)

Memory

-25.1MiB live, 21.5MiB allocated; 3ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

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

(+.f64 #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))

Calls

3 calls:

5.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
3.0ms	x.im
3.0ms	x.re

Results

Accuracy	Segments	Branch
96.7%	2	`x.re`
95.8%	2	`x.im`
96.3%	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)

regimes3.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

x.re

Results

Accuracy	Segments	Branch
96.7%	2	`x.re`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
95.9%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
78.5%	2	`x.im`
85.0%	2	`x.re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes5.0ms (0.1%)

Memory

-42.6MiB live, 3.6MiB allocated; 4ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes1.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs

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

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

Outputs

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

#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 #s(approx (+ (* (* -3 x.re) x.re) (* x.im x.im)) (*.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
95.9%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes3.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
58.5%	1	`x.im`
58.5%	1	`x.re`
58.5%	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

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.3744190033231683e+226	3.378905306256933e+233

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch48.0ms (0.8%)

Memory

-3.9MiB live, 44.4MiB allocated; 49ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
45.0ms	7.204134044209397e+174	6.88930018720478e+185

Samples

39.0ms

160×

valid

Compiler

Compiled 582 to 346 computations (40.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (64.5% of total)

ival-sub: 1.0ms (12.9% of total)

ival-add: 1.0ms (12.9% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.204134044209397e+174	6.88930018720478e+185

Compiler

Compiled 602 to 376 computations (37.5% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-2.563498e-317	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-2.563498e-317	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-2.563498e-317	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-2.563498e-317	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify75.0ms (1.3%)

Memory

29.4MiB live, 64.4MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	723
1	134	697
2	274	697
3	755	645
4	1981	645
5	6068	645

Stop Event

1×	node limit

Calls

Call 1

Inputs
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(if (<=.f64 x.re #s(literal 6199999999999999821237989385700964186413443234916461065144927841042535430262681563043184199943830246180452430942721949463052158087375837574748226520205696339572782120376530370560 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (.f64 x.im x.im))) x.im)) (+.f64 #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)))
(if (<=.f64 x.re #s(literal 6199999999999999821237989385700964186413443234916461065144927841042535430262681563043184199943830246180452430942721949463052158087375837574748226520205696339572782120376530370560 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (.f64 x.im x.im))) x.im)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.im 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 -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 x.im x.im))) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) x.re)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.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 -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 x.im x.im))) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) x.re)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))) x.im))))
(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 -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 x.im x.im))) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (.f64 x.im x.re)) x.re)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))) x.im))))
(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 -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 x.im x.im))) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (.f64 x.im x.re))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))) x.im))

Outputs
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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 19999999999999999226601456666277228317312027608945821444520376213797755867253464449639851093277241451755357223170329126057960799481106437684193392085572710063277407375056830116569569494225707696575710713873448865384990225989632 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)) (+.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)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)))))
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(if (<=.f64 x.re #s(literal 6199999999999999821237989385700964186413443234916461065144927841042535430262681563043184199943830246180452430942721949463052158087375837574748226520205696339572782120376530370560 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (.f64 x.im x.im))) x.im)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re))))
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(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 -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 x.im x.im)) (neg.f64 x.im))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) 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 -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 x.im x.im))) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) x.re) x.re)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))) x.im))))
(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 -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 x.im x.im)) (neg.f64 x.im))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) 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 -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 x.im x.im))) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (.f64 x.im x.re)) x.re)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))) x.im))))
(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 -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 x.im x.im)) (neg.f64 x.im))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.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 -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 x.im x.im))) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (.f64 x.im x.re))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.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 -4048045/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (+ ( (* -3 x.re) x.re) (* x.im x.im)) (.f64 x.im x.im)) (neg.f64 x.im))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im))) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( (* -3 x.re) x.re) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))

derivations528.0ms (8.9%)

Memory

-10.2MiB live, 560.7MiB allocated; 133ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	399
1	283	384
2	1040	384
3	4810	384
0	8071	373
0	40	345
0	58	338
1	193	318
0	1239	305
0	57	215
1	202	207
2	807	206
3	4612	206
0	8723	201
0	47	305
0	77	301
0	255	289

Stop Event

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

Compiler

Compiled 723 to 76 computations (89.5% saved)

preprocess201.0ms (3.4%)

Memory: 8.5MiB live, 238.6MiB allocated; 90ms collecting garbage
Remove: (abs x.re)
Compiler: Compiled 3 114 to 700 computations (77.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (23.3%)

explain338.0ms (5.7%)

preprocess312.0ms (5.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify276.0ms (4.7%)

localize195.0ms (3.3%)

series13.0ms (0.2%)

simplify246.0ms (4.2%)

rewrite73.0ms (1.2%)

eval12.0ms (0.2%)

prune21.0ms (0.4%)

simplify86.0ms (1.4%)

localize155.0ms (2.6%)

series40.0ms (0.7%)

simplify148.0ms (2.5%)

rewrite57.0ms (1%)

eval13.0ms (0.2%)

prune97.0ms (1.6%)

simplify111.0ms (1.9%)

localize129.0ms (2.2%)

series17.0ms (0.3%)

simplify189.0ms (3.2%)

rewrite70.0ms (1.2%)

eval16.0ms (0.3%)

prune67.0ms (1.1%)

simplify146.0ms (2.5%)

localize224.0ms (3.8%)

series53.0ms (0.9%)

simplify222.0ms (3.7%)

rewrite173.0ms (2.9%)

eval105.0ms (1.8%)

prune42.0ms (0.7%)

regimes15.0ms (0.3%)

regimes13.0ms (0.2%)

regimes3.0ms (0.1%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

regimes1.0ms (0%)

regimes3.0ms (0.1%)

bsearch1.0ms (0%)

bsearch48.0ms (0.8%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify75.0ms (1.3%)

derivations528.0ms (8.9%)

preprocess201.0ms (3.4%)

end0.0ms (0%)

Profiling