Metrics for math.cube on complex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

sample4.9s (38.7%)

Memory

32.1MiB live, 1 301.9MiB allocated

Samples

746.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 495.0ms

ival-mult: 348.0ms (70.3% of total)

ival-sub: 102.0ms (20.6% of total)

ival-add: 36.0ms (7.3% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain212.0ms (1.7%)

Memory

-8.0MiB live, 246.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
17	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
15	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
11	-	-	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
0	-	-	`(*.f64 x.re x.im)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`
0	-	-	`x.re`
0	-	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	17	0
↳	`(*.f64 x.re x.re)`	overflow	57
↳	`(*.f64 x.im x.im)`	overflow	63
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	15	0
`-.f64`	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`	nan-rescue	11	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	111
↳	`(*.f64 x.re x.re)`	overflow	57
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	103
↳	`(*.f64 x.im x.im)`	overflow	63
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	55
↳	`(*.f64 x.im x.re)`	overflow	27
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	27
↳	`(*.f64 x.re x.im)`	overflow	27

Confusion

	Predicted +	Predicted -
+	38	0
-	0	218

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	38	0	0
-	0	0	218

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	218
1	33
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms

512×

valid

Compiler

Compiled 218 to 48 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 29.0ms (78.6% of total)

ival-sub: 5.0ms (13.6% of total)

ival-add: 2.0ms (5.4% of total)

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

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

preprocess384.0ms (3%)

Memory

-12.0MiB live, 299.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	107
1	106	89
2	308	85
3	1267	55
4	3190	55
5	5166	55
6	6218	55
7	6536	55
8	6791	55
9	6886	55
10	6903	55
11	7825	55
0	11	19
0	20	19
1	38	17
2	80	17
3	236	11
4	666	11
5	2137	11
6	4288	11
7	6316	11
8	7399	11
9	7722	11
10	7761	11
11	7761	11
0	8052	10

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x.im)

(negabs x.re)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.4%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify209.0ms (1.6%)

Memory

8.3MiB live, 208.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
cost-diff	128	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	65
0	20	65
1	38	59
2	80	59
3	236	53
4	666	53
5	2137	53
6	4288	53
7	6316	53
8	7399	53
9	7722	53
10	7761	53
11	7761	53
0	8052	52

Stop Event

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

Calls

Call 1

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

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

localize29.0ms (0.2%)

Memory

18.0MiB live, 57.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	2.2656250000000004	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
accuracy	3.623087535964665	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy	3.99997522996247	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))

Samples

21.0ms

256×

valid

Compiler

Compiled 132 to 24 computations (81.8% saved)

Precisions

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

ival-mult: 10.0ms (75.9% of total)

ival-sub: 2.0ms (15.2% of total)

ival-add: 1.0ms (7.6% of total)

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

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

series14.0ms (0.1%)

Memory

-22.7MiB live, 26.4MiB allocated

Counts

6 → 22

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x.re	@	0	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
3.0ms	x.re	@	inf	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.re	@	-inf	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms	x.im	@	0	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms	x.im	@	inf	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify156.0ms (1.2%)

Memory

-6.1MiB live, 149.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	190
1	169	170
2	519	170
3	2113	170
4	5800	170
0	8265	165

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

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

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

rewrite93.0ms (0.7%)

Memory

8.4MiB live, 45.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	54
0	20	54
1	83	42
0	572	41

Stop Event

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

Counts

6 → 96

Calls

Call 1

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

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

eval9.0ms (0.1%)

Memory: 11.6MiB live, 11.6MiB allocated
Compiler: Compiled 2 642 to 356 computations (86.5% saved)

prune21.0ms (0.2%)

Memory

-28.9MiB live, 10.3MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	100	6	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	6	107

Accuracy

98.0%

Counts

107 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.4%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
▶	95.5%	(-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	70.0%	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	54.2%	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	87.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
▶	48.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))

Compiler

Compiled 284 to 166 computations (41.5% saved)

simplify181.0ms (1.4%)

Memory

40.3MiB live, 189.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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.re)
cost-diff	960	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
cost-diff	0	(.f64 (.f64 (neg.f64 x.im) x.re) x.im)
cost-diff	0	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
cost-diff	128	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re))
cost-diff	0	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	(.f64 (.f64 x.im x.im) x.re)
cost-diff	0	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))
cost-diff	0	(+.f64 x.im x.re)
cost-diff	0	(*.f64 x.re (+.f64 x.im x.re))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	960	(-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	299
0	65	290
1	123	280
2	232	280
3	570	255
4	1461	255
5	3772	255
6	6080	255
7	7479	255
0	8106	254

Stop Event

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

Calls

Call 1

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

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

localize171.0ms (1.3%)

Memory

-1.3MiB live, 207.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy	2.2656250000000004	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
accuracy	3.623087535964665	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy	3.99997522996247	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	0.12109375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	0.12109375	(.f64 (.f64 (neg.f64 x.im) x.re) x.im)
accuracy	2.2656250000000004	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy	29.229440377633185	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im))
accuracy	0	(*.f64 x.im x.im)
accuracy	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
accuracy	3.606744684549777	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
accuracy	4.07028772996247	(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re))
accuracy	0	(*.f64 x.im x.im)
accuracy	0.1796875	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
accuracy	6.494170993919216	(.f64 (.f64 x.im x.im) x.re)
accuracy	29.21802061228651	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))
accuracy	0.00390625	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
accuracy	0.109375	(.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
accuracy	0.12109375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	2.2656250000000004	(-.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

Samples

123.0ms

256×

valid

Compiler

Compiled 569 to 71 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 22.0ms (61.4% of total)

ival-sub: 7.0ms (19.5% of total)

ival-add: 5.0ms (13.9% of total)

ival-neg: 1.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.2%)

Memory

-14.6MiB live, 36.5MiB allocated

Counts

21 → 68

Calls

Call 1

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

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

Calls

6 calls:

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

simplify153.0ms (1.2%)

Memory

-7.9MiB live, 149.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	645
1	618	517
2	1931	485
3	6391	485
0	8462	466

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 66

Calls

Call 1

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

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

rewrite275.0ms (2.2%)

Memory

-38.2MiB live, 297.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	233
0	65	217
1	235	191
2	1342	191
0	8453	186

Stop Event

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

Counts

21 → 1 908

Calls

Call 1

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

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

eval384.0ms (3%)

Memory: 39.8MiB live, 229.1MiB allocated
Compiler: Compiled 45 224 to 3 511 computations (92.2% saved)

prune108.0ms (0.8%)

Memory

-17.2MiB live, 60.2MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	1 256	13	1 269
Fresh	1	0	1
Picked	4	1	5
Done	0	0	0
Total	1 261	14	1 275

Accuracy

100.0%

Counts

1 275 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.5%	(fma.f64 x.im #s(literal 2 binary64) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)))
▶	79.3%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x.im x.re) (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) (.f64 (+.f64 x.im x.re) x.re)))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
▶	95.5%	(-.f64 (.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.im x.re) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
	44.3%	(-.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)) (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x.im x.re) (+.f64 x.im x.re)))) x.re) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
	85.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 x.re x.re) x.re (.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64))))
▶	89.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
	87.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)))) x.re))
	48.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
▶	48.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
	54.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
	54.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
▶	54.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
✓	48.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))
	58.9%	#s(approx (- (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))

Compiler

Compiled 731 to 424 computations (42% saved)

simplify243.0ms (1.9%)

Memory

1.3MiB live, 84.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x.im x.re)
cost-diff	448	(/.f64 (+.f64 x.im x.re) (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) (*.f64 (+.f64 x.im x.re) x.re)))
cost-diff	832	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x.im x.re) (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) (.f64 (+.f64 x.im x.re) x.re)))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
cost-diff	1792	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x.im x.re) (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) (*.f64 (+.f64 x.im x.re) x.re))))
cost-diff	0	(*.f64 #s(literal -3 binary64) x.im)
cost-diff	0	(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
cost-diff	0	(*.f64 x.re #s(literal -3 binary64))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	(.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
cost-diff	0	(*.f64 x.im x.re)
cost-diff	0	(.f64 (.f64 x.im x.re) x.im)
cost-diff	0	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
cost-diff	0	(*.f64 (+.f64 x.im x.re) x.re)
cost-diff	0	(-.f64 x.re x.im)
cost-diff	0	(.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.im x.re) x.re))
cost-diff	832	(-.f64 (.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.im x.re) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	313
0	65	294
1	132	282
2	276	276
3	1122	246
4	5629	246
0	8189	246

Stop Event

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

Calls

Call 1

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

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

localize313.0ms (2.5%)

Memory

-13.6MiB live, 107.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3822204744463492	(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) (*.f64 (+.f64 x.im x.re) x.re))
accuracy	2.2656250000000004	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x.im x.re) (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) (.f64 (+.f64 x.im x.re) x.re)))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
accuracy	3.0038732212667223	(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
accuracy	7.854046586622565	(/.f64 (+.f64 x.im x.re) (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) (*.f64 (+.f64 x.im x.re) x.re)))
accuracy	0	(*.f64 #s(literal -3 binary64) x.im)
accuracy	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
accuracy	3.0585607212667223	(fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (.f64 x.re x.re))
accuracy	3.606744684549777	(.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
accuracy	0	(*.f64 x.re #s(literal -3 binary64))
accuracy	0	(*.f64 x.im x.im)
accuracy	6.538413685352186	(.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))
accuracy	29.21802061228651	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
accuracy	0	(*.f64 x.im x.re)
accuracy	0.12109375	(.f64 (.f64 x.im x.re) x.im)
accuracy	0.1796875	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im))
accuracy	29.21802061228651	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
accuracy	0	(*.f64 x.re (+.f64 x.im x.im))
accuracy	0.109375	(.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.im x.re) x.re))
accuracy	0.12109375	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy	2.2656250000000004	(-.f64 (.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.im x.re) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))

Samples

106.0ms

256×

valid

Compiler

Compiled 608 to 78 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-div: 50.0ms (56.4% of total)

ival-mult: 25.0ms (28.2% of total)

ival-sub: 6.0ms (6.8% of total)

ival-add: 6.0ms (6.8% of total)

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

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.2%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

24 → 113

Calls

Call 1

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

Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(* -1 x.im)
(- x.re x.im)
(* x.im x.re)
(* x.re (+ x.im x.re))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) x.re)
(* -3 x.re)
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(/ -1 (* (pow x.im 2) x.re))
(/ (- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2))) x.re)
(/ (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) x.re)
(/ (- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) x.re)
x.im
(+ x.im x.re)
(* 2 (* (pow x.im 2) x.re))
(* 2 (* x.im x.re))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* -1 (* (pow x.im 3) x.re))
(* x.re (+ (* -1 (* (pow x.im 2) x.re)) (* -1 (pow x.im 3))))
(* x.re (+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (* x.im x.re)))))
(* x.re (+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im x.re))))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
x.re
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(/ 1 (pow x.re 3))
(/ (+ 1 (/ (pow x.im 2) (pow x.re 2))) (pow x.re 3))
(/ (- (+ 1 (/ (pow x.im 4) (pow x.re 4))) (* -1 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 3))
(/ (- (+ 1 (/ (pow x.im 6) (pow x.re 6))) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (* -1 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 3))
(* x.re (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (/ x.im x.re)))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (/ x.im x.re)))))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (/ (- (* -1 (/ (pow x.im 2) (pow x.re 2))) 1) (pow x.re 3)))
(* -1 (/ (- (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (* -1 (/ (pow x.im 4) (pow x.re 4)))) 1) (pow x.re 3)))
(* -1 (/ (- (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (* -1 (/ (pow x.im 6) (pow x.re 6))))) 1) (pow x.re 3)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 x.im) (/ (pow x.im 2) x.re)) x.re))))
(* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 x.im) (* -1 (/ (+ (* -1 (/ (pow x.im 3) x.re)) (* -1 (pow x.im 2))) x.re))) x.re))))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ x.re (* -1 x.im))
(+ (* x.im x.re) (pow x.re 2))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(pow x.im 2)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -3 x.im)
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (/ 1 (pow x.re 3)) (/ (pow x.im 2) (pow x.re 5)))
(+ (* (pow x.im 2) (+ (/ 1 (pow x.re 5)) (/ (pow x.im 2) (pow x.re 7)))) (/ 1 (pow x.re 3)))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 7)) (/ (pow x.im 2) (pow x.re 9)))) (/ 1 (pow x.re 5)))) (/ 1 (pow x.re 3)))
(+ (* x.im (pow x.re 3)) (pow x.re 4))
(+ (* x.im (+ (* -1 (* x.im (pow x.re 2))) (pow x.re 3))) (pow x.re 4))
(+ (* x.im (+ (* x.im (+ (* -1 (* x.im x.re)) (* -1 (pow x.re 2)))) (pow x.re 3))) (pow x.re 4))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* x.im (- (/ x.re x.im) 1))
(* x.im (+ x.re (/ (pow x.re 2) x.im)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(/ (- (* -1 (/ x.re (pow x.im 2))) (/ 1 x.re)) (pow x.im 2))
(/ (- (* -1 (/ (pow x.re 3) (pow x.im 4))) (+ (/ 1 x.re) (/ x.re (pow x.im 2)))) (pow x.im 2))
(/ (- (* -1 (/ (pow x.re 5) (pow x.im 6))) (+ (/ 1 x.re) (+ (/ x.re (pow x.im 2)) (/ (pow x.re 3) (pow x.im 4))))) (pow x.im 2))
(* x.im (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))))
(* (pow x.im 3) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 3) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 3) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 3))))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* (pow x.im 3) (+ x.re (/ (pow x.re 2) x.im))))
(* -1 (* (pow x.im 3) (+ x.re (* -1 (/ (+ (* -1 (pow x.re 2)) (/ (pow x.re 3) x.im)) x.im)))))
(* -1 (* (pow x.im 3) (+ x.re (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x.re 4) x.im)) (* -1 (pow x.re 3))) x.im)) (* -1 (pow x.re 2))) x.im)))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x.re	@	0	((- (* (- 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.im) (* (+ x.im x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (* -3 x.im) x.im) (* x.re x.re)) x.re) (+ (* (* -3 x.im) x.im) (* x.re x.re)) (* -3 x.im) (/ 1 (/ (+ x.im x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ x.im x.re) x.re)))) (- (/ 1 (/ (+ x.im x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ x.im x.re) x.re)))) (* (* x.re (+ x.im x.im)) x.im)) (/ (+ x.im x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ x.im x.re) x.re))) (+ x.im x.re) (* (* x.re (+ x.im x.im)) x.im) (* x.re (+ x.im x.im)) (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ x.im x.re) x.re)))
4.0ms	x.re	@	inf	((- (* (- 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.im) (* (+ x.im x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (* -3 x.im) x.im) (* x.re x.re)) x.re) (+ (* (* -3 x.im) x.im) (* x.re x.re)) (* -3 x.im) (/ 1 (/ (+ x.im x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ x.im x.re) x.re)))) (- (/ 1 (/ (+ x.im x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ x.im x.re) x.re)))) (* (* x.re (+ x.im x.im)) x.im)) (/ (+ x.im x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ x.im x.re) x.re))) (+ x.im x.re) (* (* x.re (+ x.im x.im)) x.im) (* x.re (+ x.im x.im)) (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ x.im x.re) x.re)))
4.0ms	x.re	@	-inf	((- (* (- 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.im) (* (+ x.im x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (* -3 x.im) x.im) (* x.re x.re)) x.re) (+ (* (* -3 x.im) x.im) (* x.re x.re)) (* -3 x.im) (/ 1 (/ (+ x.im x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ x.im x.re) x.re)))) (- (/ 1 (/ (+ x.im x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ x.im x.re) x.re)))) (* (* x.re (+ x.im x.im)) x.im)) (/ (+ x.im x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ x.im x.re) x.re))) (+ x.im x.re) (* (* x.re (+ x.im x.im)) x.im) (* x.re (+ x.im x.im)) (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ x.im x.re) x.re)))
3.0ms	x.im	@	inf	((- (* (- x.re x.im) (* (+ x.im x.re) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (- x.re x.im) (* (+ x.im x.re) x.re)) (- x.re x.im) (* (+ x.im x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (* -3 x.im) x.im) (* x.re x.re)) x.re) (+ (* (* -3 x.im) x.im) (* x.re x.re)) (* -3 x.im) (/ 1 (/ (+ x.im x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ x.im x.re) x.re)))) (- (/ 1 (/ (+ x.im x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ x.im x.re) x.re)))) (* (* x.re (+ x.im x.im)) x.im)) (/ (+ x.im x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ x.im x.re) x.re))) (+ x.im x.re) (* (* x.re (+ x.im x.im)) x.im) (* x.re (+ x.im x.im)) (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ x.im x.re) x.re)))
3.0ms	x.im	@	-inf	((- (* (- x.re x.im) (* (+ x.im x.re) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (- x.re x.im) (* (+ x.im x.re) x.re)) (- x.re x.im) (* (+ x.im x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (* -3 x.im) x.im) (* x.re x.re)) x.re) (+ (* (* -3 x.im) x.im) (* x.re x.re)) (* -3 x.im) (/ 1 (/ (+ x.im x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ x.im x.re) x.re)))) (- (/ 1 (/ (+ x.im x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ x.im x.re) x.re)))) (* (* x.re (+ x.im x.im)) x.im)) (/ (+ x.im x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ x.im x.re) x.re))) (+ x.im x.re) (* (* x.re (+ x.im x.im)) x.im) (* x.re (+ x.im x.im)) (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (* (+ x.im x.re) x.re)))

simplify371.0ms (2.9%)

Memory

-15.3MiB live, 176.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	369	1657
1	1193	1356
2	3803	1271
0	8196	1225

Stop Event

1×	iter limit
1×	node limit

Counts

113 → 111

Calls

Call 1

Inputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(* -1 x.im)
(- x.re x.im)
(* x.im x.re)
(* x.re (+ x.im x.re))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) x.re)
(* -3 x.re)
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(/ -1 (* (pow x.im 2) x.re))
(/ (- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2))) x.re)
(/ (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) x.re)
(/ (- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) x.re)
x.im
(+ x.im x.re)
(* 2 (* (pow x.im 2) x.re))
(* 2 (* x.im x.re))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* -1 (* (pow x.im 3) x.re))
(* x.re (+ (* -1 (* (pow x.im 2) x.re)) (* -1 (pow x.im 3))))
(* x.re (+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (* x.im x.re)))))
(* x.re (+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im x.re))))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
x.re
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(/ 1 (pow x.re 3))
(/ (+ 1 (/ (pow x.im 2) (pow x.re 2))) (pow x.re 3))
(/ (- (+ 1 (/ (pow x.im 4) (pow x.re 4))) (* -1 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 3))
(/ (- (+ 1 (/ (pow x.im 6) (pow x.re 6))) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (* -1 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 3))
(* x.re (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (/ x.im x.re)))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (/ x.im x.re)))))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (/ (- (* -1 (/ (pow x.im 2) (pow x.re 2))) 1) (pow x.re 3)))
(* -1 (/ (- (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (* -1 (/ (pow x.im 4) (pow x.re 4)))) 1) (pow x.re 3)))
(* -1 (/ (- (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (* -1 (/ (pow x.im 6) (pow x.re 6))))) 1) (pow x.re 3)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 x.im) (/ (pow x.im 2) x.re)) x.re))))
(* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 x.im) (* -1 (/ (+ (* -1 (/ (pow x.im 3) x.re)) (* -1 (pow x.im 2))) x.re))) x.re))))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ x.re (* -1 x.im))
(+ (* x.im x.re) (pow x.re 2))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(pow x.im 2)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -3 x.im)
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (/ 1 (pow x.re 3)) (/ (pow x.im 2) (pow x.re 5)))
(+ (* (pow x.im 2) (+ (/ 1 (pow x.re 5)) (/ (pow x.im 2) (pow x.re 7)))) (/ 1 (pow x.re 3)))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 7)) (/ (pow x.im 2) (pow x.re 9)))) (/ 1 (pow x.re 5)))) (/ 1 (pow x.re 3)))
(+ (* x.im (pow x.re 3)) (pow x.re 4))
(+ (* x.im (+ (* -1 (* x.im (pow x.re 2))) (pow x.re 3))) (pow x.re 4))
(+ (* x.im (+ (* x.im (+ (* -1 (* x.im x.re)) (* -1 (pow x.re 2)))) (pow x.re 3))) (pow x.re 4))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* x.im (- (/ x.re x.im) 1))
(* x.im (+ x.re (/ (pow x.re 2) x.im)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(/ (- (* -1 (/ x.re (pow x.im 2))) (/ 1 x.re)) (pow x.im 2))
(/ (- (* -1 (/ (pow x.re 3) (pow x.im 4))) (+ (/ 1 x.re) (/ x.re (pow x.im 2)))) (pow x.im 2))
(/ (- (* -1 (/ (pow x.re 5) (pow x.im 6))) (+ (/ 1 x.re) (+ (/ x.re (pow x.im 2)) (/ (pow x.re 3) (pow x.im 4))))) (pow x.im 2))
(* x.im (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))))
(* (pow x.im 3) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 3) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 3) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 3))))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* (pow x.im 3) (+ x.re (/ (pow x.re 2) x.im))))
(* -1 (* (pow x.im 3) (+ x.re (* -1 (/ (+ (* -1 (pow x.re 2)) (/ (pow x.re 3) x.im)) x.im)))))
(* -1 (* (pow x.im 3) (+ x.re (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x.re 4) x.im)) (* -1 (pow x.re 3))) x.im)) (* -1 (pow x.re 2))) x.im)))))

Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* -1 (* (pow x.im 2) x.re))
(.f64 (.f64 (neg.f64 x.re) x.im) x.im)
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(.f64 (.f64 (neg.f64 x.re) x.im) x.im)
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) x.re)
(* -1 x.im)
(neg.f64 x.im)
(- x.re x.im)
(-.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.im x.re)
(* x.re (+ x.im x.re))
(*.f64 (+.f64 x.im x.re) x.re)
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(* (pow x.im 2) x.re)
(.f64 (.f64 x.im x.im) x.re)
(* -3 x.re)
(*.f64 #s(literal -3 binary64) x.re)
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* -3 (pow x.im 2))
(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) x.re)
(/ -1 (* (pow x.im 2) x.re))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)) x.re)
(/ (- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2))) x.re)
(/.f64 (fma.f64 (neg.f64 x.re) (/.f64 x.re (pow.f64 x.im #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))) x.re)
(/ (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) x.re)
(/.f64 (fma.f64 (fma.f64 (neg.f64 x.re) (/.f64 x.re (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 x.re x.re) (/.f64 #s(literal -1 binary64) (.f64 x.im x.im))) x.re)
(/ (- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) x.re)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x.re) (/.f64 x.re (pow.f64 x.im #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 x.re x.re) (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 x.re x.re) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))) x.re)
x.im
(+ x.im x.re)
(+.f64 x.im x.re)
(* 2 (* (pow x.im 2) x.re))
(.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64))
(* 2 (* x.im x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* -1 (* (pow x.im 3) x.re))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 3 binary64)))
(* x.re (+ (* -1 (* (pow x.im 2) x.re)) (* -1 (pow x.im 3))))
(.f64 (.f64 (*.f64 (neg.f64 x.re) x.im) x.im) (+.f64 x.im x.re))
(* x.re (+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (* x.im x.re)))))
(.f64 (fma.f64 (.f64 (neg.f64 x.re) (+.f64 x.im x.re)) x.im (pow.f64 x.re #s(literal 3 binary64))) x.im)
(* x.re (+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im x.re))))))
(.f64 (fma.f64 (fma.f64 x.im (-.f64 x.re x.im) (.f64 x.re x.re)) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) x.re)
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(pow.f64 x.re #s(literal 3 binary64))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (.f64 x.im (/.f64 x.im x.re)) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
x.re
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(*.f64 (fma.f64 (/.f64 x.im x.re) x.re x.re) x.re)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (.f64 x.im (/.f64 x.im x.re)) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (.f64 x.im (/.f64 x.im x.re)) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (.f64 x.im (/.f64 x.im x.re)) #s(literal 1 binary64)) (*.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (.f64 x.im (/.f64 x.im x.re)) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(/ 1 (pow x.re 3))
(/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64)))
(/ (+ 1 (/ (pow x.im 2) (pow x.re 2))) (pow x.re 3))
(/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(/ (- (+ 1 (/ (pow x.im 4) (pow x.re 4))) (* -1 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 3))
(/.f64 (+.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(/ (- (+ 1 (/ (pow x.im 6) (pow x.re 6))) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (* -1 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 3))
(/.f64 (+.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64))) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(* x.re (+ 1 (/ x.im x.re)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.re)
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(* (pow x.re 4) (+ 1 (/ x.im x.re)))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (/.f64 x.im x.re) #s(literal 1 binary64)))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))) x.re)) (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (/ x.im x.re)))))
(.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))) x.re)) (pow.f64 (/.f64 x.im x.re) #s(literal 3 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(pow.f64 x.re #s(literal 3 binary64))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (.f64 x.im (/.f64 x.im x.re)) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.re)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (.f64 x.im (/.f64 x.im x.re)) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (.f64 x.im (/.f64 x.im x.re)) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (pow x.im 2) (pow x.re 2))) 1) (pow x.re 3)))
(/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (/ (- (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (* -1 (/ (pow x.im 4) (pow x.re 4)))) 1) (pow x.re 3)))
(/.f64 (+.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (/ (- (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (* -1 (/ (pow x.im 6) (pow x.re 6))))) 1) (pow x.re 3)))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (neg.f64 (pow.f64 x.re #s(literal 3 binary64))))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(*.f64 (neg.f64 x.re) (-.f64 #s(literal -1 binary64) (/.f64 x.im x.re)))
(* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 x.im) (/ (pow x.im 2) x.re)) x.re))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))) x.re)) (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 x.im) (* -1 (/ (+ (* -1 (/ (pow x.im 3) x.re)) (* -1 (pow x.im 2))) x.re))) x.re))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x.im (fma.f64 x.im (/.f64 x.im x.re) x.im)) x.re) x.im) x.re)) (pow.f64 x.re #s(literal 4 binary64)))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(pow.f64 x.re #s(literal 3 binary64))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) x.re)
(+ x.re (* -1 x.im))
(-.f64 x.re x.im)
(+ (* x.im x.re) (pow x.re 2))
(*.f64 (+.f64 x.im x.re) x.re)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(pow x.im 2)
(*.f64 x.im x.im)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* -3 x.im)
(*.f64 #s(literal -3 binary64) x.im)
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) x.re)
(+ (/ 1 (pow x.re 3)) (/ (pow x.im 2) (pow x.re 5)))
(fma.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64))))
(+ (* (pow x.im 2) (+ (/ 1 (pow x.re 5)) (/ (pow x.im 2) (pow x.re 7)))) (/ 1 (pow x.re 3)))
(fma.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 5 binary64))) (+.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64)))))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 7)) (/ (pow x.im 2) (pow x.re 9)))) (/ 1 (pow x.re 5)))) (/ 1 (pow x.re 3)))
(fma.f64 (fma.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 7 binary64)))) (pow.f64 x.im #s(literal 4 binary64)) (fma.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64)))))
(+ (* x.im (pow x.re 3)) (pow x.re 4))
(fma.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im (pow.f64 x.re #s(literal 4 binary64)))
(+ (* x.im (+ (* -1 (* x.im (pow x.re 2))) (pow x.re 3))) (pow x.re 4))
(fma.f64 (.f64 (.f64 x.im (-.f64 x.re x.im)) x.re) x.re (pow.f64 x.re #s(literal 4 binary64)))
(+ (* x.im (+ (* x.im (+ (* -1 (* x.im x.re)) (* -1 (pow x.re 2)))) (pow x.re 3))) (pow x.re 4))
(fma.f64 (fma.f64 (*.f64 (neg.f64 x.re) (+.f64 x.im x.re)) x.im (pow.f64 x.re #s(literal 3 binary64))) x.im (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(.f64 (.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(.f64 (.f64 (neg.f64 x.re) x.im) x.im)
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im) x.re) (.f64 x.im x.im))
(* x.im (- (/ x.re x.im) 1))
(*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im)
(* x.im (+ x.re (/ (pow x.re 2) x.im)))
(*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im)
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(.f64 (.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 (.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(.f64 (.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64)) x.im) x.im)
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im) x.re) (.f64 x.im x.im))
(/ (- (* -1 (/ x.re (pow x.im 2))) (/ 1 x.re)) (pow x.im 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x.re) (/.f64 (/.f64 x.re x.im) x.im)) (*.f64 x.im x.im))
(/ (- (* -1 (/ (pow x.re 3) (pow x.im 4))) (+ (/ 1 x.re) (/ x.re (pow x.im 2)))) (pow x.im 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 (/.f64 x.re x.im) x.im))) (*.f64 x.im x.im))
(/ (- (* -1 (/ (pow x.re 5) (pow x.im 6))) (+ (/ 1 x.re) (+ (/ x.re (pow x.im 2)) (/ (pow x.re 3) (pow x.im 4))))) (pow x.im 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 (/.f64 x.re x.im) x.im))) (/.f64 (pow.f64 x.re #s(literal 5 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 x.im x.im))
(* x.im (+ 1 (/ x.re x.im)))
(fma.f64 (/.f64 x.re x.im) x.im x.im)
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(.f64 (.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)
(* (pow x.im 3) (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))))
(.f64 (.f64 x.re (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (/ (pow x.re 3) (pow x.im 2)))))
(.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) (neg.f64 x.re)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (+ (* -1 x.re) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (/ (pow x.re 3) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 3))))))
(.f64 (-.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) x.re) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(.f64 (.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(.f64 (.f64 (neg.f64 x.re) x.im) x.im)
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im) x.re) (.f64 x.im x.im))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im)
(* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))))
(*.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im)
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (neg.f64 x.im))
(* -1 (* (pow x.im 3) (+ x.re (/ (pow x.re 2) x.im))))
(.f64 (.f64 x.re (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ x.re (* -1 (/ (+ (* -1 (pow x.re 2)) (/ (pow x.re 3) x.im)) x.im)))))
(.f64 (fma.f64 (.f64 x.re (/.f64 x.re x.im)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) (neg.f64 x.re)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ x.re (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x.re 4) x.im)) (* -1 (pow x.re 3))) x.im)) (* -1 (pow x.re 2))) x.im)))))
(*.f64 (-.f64 x.re (/.f64 (fma.f64 (neg.f64 x.re) x.re (/.f64 (+.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) x.im) (pow.f64 x.re #s(literal 3 binary64))) x.im)) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))

rewrite462.0ms (3.6%)

Memory

2.1MiB live, 200.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	265
0	65	237
1	259	207
2	1981	207
0	8368	202

Stop Event

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

Counts

24 → 1 730

Calls

Call 1

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

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

eval286.0ms (2.2%)

Memory: 24.9MiB live, 178.3MiB allocated
Compiler: Compiled 52 004 to 4 862 computations (90.7% saved)

prune168.0ms (1.3%)

Memory

3.2MiB live, 91.6MiB allocated

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	1 433	11	1 444
Fresh	3	5	8
Picked	1	4	5
Done	0	1	1
Total	1 437	21	1 458

Accuracy

100.0%

Counts

1 458 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.5%	(fma.f64 (.f64 (/.f64 x.re (fma.f64 x.im x.im (.f64 x.re (-.f64 x.re x.im)))) (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (.f64 x.re (-.f64 x.re x.im))) (*.f64 #s(literal 2 binary64) x.im))
	20.5%	(fma.f64 x.im #s(literal 2 binary64) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (.f64 (.f64 (neg.f64 x.im) x.re) x.im)))
	81.2%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x.im x.re) (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) (+.f64 x.im x.re))) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
	55.2%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x.im x.re) (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) (*.f64 (+.f64 x.im x.re) x.re)))) (+.f64 x.im x.im))
▶	95.4%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
✓	95.5%	(-.f64 (.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.im x.re) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
	93.2%	(-.f64 (.f64 (-.f64 x.re x.im) #s(approx ( (+ x.im x.re) x.re) (.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
	85.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 x.re x.re) x.re (.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64))))
✓	89.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
	87.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)))) x.re))
	48.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
▶	54.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
	48.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) x.re))
▶	75.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im)))
	54.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
✓	48.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
	54.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
✓	54.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
✓	48.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))
▶	54.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(approx (* -3 (* (* x.im x.re) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)))
	58.9%	#s(approx (- (* (- x.re x.im) (* (+ x.im x.re) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))

Compiler

Compiled 1 002 to 573 computations (42.8% saved)

simplify411.0ms (3.2%)

Memory

-7.5MiB live, 154.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x.re (-.f64 x.re x.im))
cost-diff	0	(fma.f64 x.im x.im (*.f64 x.re (-.f64 x.re x.im)))
cost-diff	0	(/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re (-.f64 x.re x.im))))
cost-diff	0	(.f64 (/.f64 x.re (fma.f64 x.im x.im (.f64 x.re (-.f64 x.re x.im)))) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))
cost-diff	0	(fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))
cost-diff	0	(*.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64)))
cost-diff	0	(.f64 (.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im)))
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.im)
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
cost-diff	0	(.f64 (.f64 #s(literal -3 binary64) x.re) x.im)
cost-diff	0	(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
cost-diff	0	#s(approx (* -3 (* (* x.im x.re) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(approx (* -3 (* (* x.im x.re) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)))
cost-diff	0	(*.f64 (-.f64 x.re x.im) x.re)
cost-diff	0	(.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re))
cost-diff	832	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
cost-diff	2176	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	363
0	82	349
1	195	341
2	512	341
3	1846	308
4	4784	308
0	8391	303

Stop Event

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

Calls

Call 1

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

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

localize138.0ms (1.1%)

Memory

16.6MiB live, 279.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.678346764801305	(fma.f64 (.f64 (/.f64 x.re (fma.f64 x.im x.im (.f64 x.re (-.f64 x.re x.im)))) (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (.f64 x.re (-.f64 x.re x.im))) (*.f64 #s(literal 2 binary64) x.im))
accuracy	4.753853954505645	(fma.f64 x.im x.im (*.f64 x.re (-.f64 x.re x.im)))
accuracy	16.062078681569723	(/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re (-.f64 x.re x.im))))
accuracy	31.245114833841523	(.f64 (/.f64 x.re (fma.f64 x.im x.im (.f64 x.re (-.f64 x.re x.im)))) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))
accuracy	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im)))
accuracy	0.11785126953688403	(fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))
accuracy	0.3563825116768685	(*.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64)))
accuracy	13.946036189089122	(.f64 (.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im))
accuracy	0	(*.f64 #s(literal -3 binary64) x.im)
accuracy	0.1171875	(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)
accuracy	0.20703125	(.f64 (.f64 #s(literal -3 binary64) x.im) x.re)
accuracy	29.21802061228651	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
accuracy	0	#s(approx (* -3 (* (* x.im x.re) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
accuracy	0.1171875	(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
accuracy	0.2734375	(.f64 (.f64 #s(literal -3 binary64) x.re) x.im)
accuracy	29.21802061228651	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(approx (* -3 (* (* x.im x.re) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)))
accuracy	0.12109375	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy	0.13851340476030194	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re))))
accuracy	0.7047304481025473	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)))
accuracy	2.2656250000000004	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))

Samples

76.0ms	240×	0	valid
7.0ms	5×	4	valid
4.0ms	5×	3	valid
2.0ms	3×	2	valid
1.0ms	3×	1	valid

Compiler

Compiled 693 to 100 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 43.0ms (62.7% of total)

ival-add: 8.0ms (11.7% of total)

ival-div: 6.0ms (8.7% of total)

ival-sub: 5.0ms (7.3% of total)

adjust: 3.0ms (4.4% of total)

ival-neg: 3.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.2%)

Memory

-1.3MiB live, 81.0MiB allocated

Counts

23 → 136

Calls

Call 1

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

Outputs
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(* -1 (* x.im x.re))
(* x.re (+ x.re (* -1 x.im)))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* x.im x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* -3 x.re)
(* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3))
-3
(- (/ (pow x.re 2) (pow x.im 2)) 3)
(* -1 x.re)
(* x.re (- (* -1 (/ x.re x.im)) 1))
(* x.re (- (* x.re (- (/ x.re (pow x.im 2)) (/ 1 x.im))) 1))
(* x.re (- (* x.re (- (* x.re (+ (* 2 (/ x.re (pow x.im 3))) (/ 1 (pow x.im 2)))) (/ 1 x.im))) 1))
(/ x.re (pow x.im 2))
(* x.re (+ (/ 1 (pow x.im 2)) (/ x.re (pow x.im 3))))
(* x.re (+ (* x.re (+ (* -1 (/ (pow x.re 2) (pow x.im 5))) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2))))
(* x.re (+ (* x.re (+ (* (pow x.re 2) (- (* -1 (/ x.re (pow x.im 6))) (/ 1 (pow x.im 5)))) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2))))
(pow x.im 2)
(+ (* -1 (* x.im x.re)) (pow x.im 2))
(+ (* x.re (+ x.re (* -1 x.im))) (pow x.im 2))
(/ -1 (* (pow x.im 2) x.re))
(/ (- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2))) x.re)
(/ (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) x.re)
(/ (- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) x.re)
(* 2 (* (pow x.im 2) x.re))
(* 2 x.im)
(+ (* -1 (* (pow x.im 2) x.re)) (* 2 x.im))
(+ (* 2 x.im) (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(/ (pow x.re 3) (pow x.im 2))
(* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(/ (pow x.re 2) (pow x.im 2))
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* -1 (/ x.im x.re))))
(* x.re (- (+ 1 (* -2 (/ (pow x.im 3) (pow x.re 3)))) (+ (* -1 (/ x.im x.re)) (/ (pow x.im 2) (pow x.re 2)))))
(/ 1 x.re)
(/ (+ 1 (/ x.im x.re)) x.re)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))) (* -1 (/ x.im x.re))) x.re)
(/ (- (+ 1 (* -1 (/ (+ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3)) (pow x.re 3)))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))))) x.re)
(* (pow x.re 2) (- (+ 1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))
(/ 1 (pow x.re 3))
(/ (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re))) (pow x.re 3))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))) (pow x.re 2)))) (+ (* -1 (/ x.im x.re)) (/ x.im x.re))) (pow x.re 3))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))))) (* (pow x.im 2) (+ x.im (* -1 x.im)))) (pow x.re 3)))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.re 2))) (/ x.im x.re))))) (pow x.re 3))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (* 2 (/ x.im (pow x.re 3))))))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ (+ x.im (* -1 (/ (pow x.im 2) x.re))) x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ (+ x.im (* -1 (/ (+ (* 2 (/ (pow x.im 3) x.re)) (pow x.im 2)) x.re))) x.re)) 1)))
(* -1 (/ (- (* -1 (/ x.im x.re)) 1) x.re))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow x.im 2) x.re)) (/ (pow x.im 2) x.re)) (* -1 x.im)) x.re)) 1) x.re))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) x.re)) (/ (pow x.im 3) x.re)) (+ (* -1 (pow x.im 2)) (pow x.im 2))) x.re)) (* -1 x.im)) x.re)) 1) x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (+ x.im (* -1 (/ (pow x.im 2) x.re))) x.re))))
(* -1 (/ (- (+ (* -1 (/ x.im x.re)) (/ x.im x.re)) 1) (pow x.re 3)))
(* -1 (/ (- (* -1 (/ (- (+ (/ (pow x.im 2) x.re) (/ (pow (+ x.im (* -1 x.im)) 2) x.re)) (+ x.im (* -1 x.im))) x.re)) 1) (pow x.re 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.im (* -1 x.im)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2))) x.re) (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) x.re)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2))) x.re)) (+ x.im (* -1 x.im))) x.re)) 1) (pow x.re 3)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (+ (* -2 (/ x.im (pow x.re 3))) (/ (pow x.im 2) (pow x.re 2))) 1)))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(* -3 x.im)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2))
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2))
(+ x.im x.re)
(+ x.re (* x.im (+ 1 (* -1 (/ x.im x.re)))))
(+ x.re (* x.im (+ 1 (* x.im (- (* -2 (/ x.im (pow x.re 2))) (/ 1 x.re))))))
(+ (/ 1 x.re) (/ x.im (pow x.re 2)))
(+ (* x.im (+ (* -1 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2)))) (/ 1 x.re))
(+ (* x.im (+ (* (pow x.im 2) (- (* -1 (/ x.im (pow x.re 5))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))) (/ 1 x.re))
(+ (* x.im (+ x.im (* -1 x.re))) (pow x.re 2))
(+ (/ 1 (pow x.re 3)) (/ (pow x.im 2) (pow x.re 5)))
(+ (* (pow x.im 2) (+ (/ 1 (pow x.re 5)) (/ (pow x.im 2) (pow x.re 7)))) (/ 1 (pow x.re 3)))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 7)) (/ (pow x.im 2) (pow x.re 9)))) (/ 1 (pow x.re 5)))) (/ 1 (pow x.re 3)))
(+ (* 2 x.im) (pow x.re 3))
(+ (* x.im (+ 2 (* -1 (* x.im x.re)))) (pow x.re 3))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))
(+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))
(- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (/ (pow x.re 2) x.im))
(- (+ (* -1 x.re) (* 2 (/ (pow x.re 4) (pow x.im 3)))) (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (/ (pow x.re 2) x.im)))
(/ (+ x.re (/ (pow x.re 2) x.im)) (pow x.im 2))
(/ (- (+ x.re (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) (pow x.im 2)))) (* -1 (/ (pow x.re 2) x.im))) (pow x.im 2))
(/ (- (+ x.re (* -1 (/ (+ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.re 4)) (pow x.im 3)))) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (/ (pow x.re 3) (pow x.im 2))))) (pow x.im 2))
(* (pow x.im 2) (+ 1 (* -1 (/ x.re x.im))))
(* (pow x.im 2) (+ 1 (+ (* -1 (/ x.re x.im)) (/ (pow x.re 2) (pow x.im 2)))))
(/ (- (* -1 (/ x.re (pow x.im 2))) (/ 1 x.re)) (pow x.im 2))
(/ (- (* -1 (/ (* x.re (+ x.re (* -1 x.re))) (pow x.im 3))) (+ (/ 1 x.re) (/ x.re (pow x.im 2)))) (pow x.im 2))
(/ (- (* -1 (/ (+ (* x.re (pow (+ x.re (* -1 x.re)) 2)) (pow x.re 3)) (pow x.im 4))) (+ (/ 1 x.re) (+ (/ x.re (pow x.im 2)) (/ (* x.re (+ x.re (* -1 x.re))) (pow x.im 3))))) (pow x.im 2))
(* (pow x.im 2) (+ (* -1 x.re) (* 2 (/ 1 x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (* 2 (/ 1 x.im)) (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(+ (* -1 x.re) (* -1 (/ (- (* -1 (/ (pow x.re 3) x.im)) (* -1 (pow x.re 2))) x.im)))
(+ (* -1 x.re) (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x.re 4) x.im)) (* -1 (pow x.re 3))) x.im)) (* -1 (pow x.re 2))) x.im)))
(/ (+ x.re (* -1 (/ (- (+ (* -1 (/ (pow x.re 3) x.im)) (/ (pow x.re 3) x.im)) (pow x.re 2)) x.im))) (pow x.im 2))
(/ (+ x.re (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) x.im)) (* -1 (/ (pow x.re 4) x.im))) (+ (* -1 (pow x.re 3)) (pow x.re 3))) x.im)) (pow x.re 2)) x.im))) (pow x.im 2))
(* (pow x.im 2) (+ 1 (* -1 (/ (+ x.re (* -1 (/ (pow x.re 2) x.im))) x.im))))
(/ (- (/ (* x.re (+ x.re (* -1 x.re))) (pow x.im 3)) (+ (/ 1 x.re) (/ x.re (pow x.im 2)))) (pow x.im 2))
(/ (- (* -1 (/ (- (+ (/ (* x.re (pow (+ x.re (* -1 x.re)) 2)) x.im) (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) (pow x.im 3))) (+ (/ 1 x.re) (/ x.re (pow x.im 2)))) (pow x.im 2))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (- (* -1 (/ (pow x.re 3) x.im)) 2) x.im))))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x.re	@	inf	((/ 1 (/ 1 (* (* (- x.re x.im) x.re) (+ x.im x.re)))) (- (/ 1 (/ 1 (* (* (- x.re x.im) x.re) (+ x.im x.re)))) (* (* x.re (+ x.im x.im)) x.im)) (* (* (- x.re x.im) x.re) (+ x.im x.re)) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ x.re x.im) (/ x.re x.im)) -3)) (* x.im x.im)) (* x.re (+ (* (/ x.re x.im) (/ x.re x.im)) -3)) (+ (* (/ x.re x.im) (/ x.re x.im)) -3) (* (/ x.re (+ (* x.im x.im) (* x.re (- x.re x.im)))) (+ (* (neg x.im) x.im) (* x.re x.re))) (/ x.re (+ (* x.im x.im) (* x.re (- x.re x.im)))) (+ (* x.im x.im) (* x.re (- x.re x.im))) (* x.re (- x.re x.im)) (/ 1 (* (* (- x.re x.im) x.re) (+ x.im x.re))) (* (* x.re (+ x.im x.im)) x.im) (+ (* (* (/ x.re (+ (* x.im x.im) (* x.re (- x.re x.im)))) (+ (* (neg x.im) x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re (- x.re x.im)))) (* 2 x.im)))
5.0ms	x.im	@	inf	((/ 1 (/ 1 (* (* (- x.re x.im) x.re) (+ x.im x.re)))) (- (/ 1 (/ 1 (* (* (- x.re x.im) x.re) (+ x.im x.re)))) (* (* x.re (+ x.im x.im)) x.im)) (* (* (- x.re x.im) x.re) (+ x.im x.re)) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ x.re x.im) (/ x.re x.im)) -3)) (* x.im x.im)) (* x.re (+ (* (/ x.re x.im) (/ x.re x.im)) -3)) (+ (* (/ x.re x.im) (/ x.re x.im)) -3) (* (/ x.re (+ (* x.im x.im) (* x.re (- x.re x.im)))) (+ (* (neg x.im) x.im) (* x.re x.re))) (/ x.re (+ (* x.im x.im) (* x.re (- x.re x.im)))) (+ (* x.im x.im) (* x.re (- x.re x.im))) (* x.re (- x.re x.im)) (/ 1 (* (* (- x.re x.im) x.re) (+ x.im x.re))) (* (* x.re (+ x.im x.im)) x.im) (+ (* (* (/ x.re (+ (* x.im x.im) (* x.re (- x.re x.im)))) (+ (* (neg x.im) x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re (- x.re x.im)))) (* 2 x.im)))
4.0ms	x.re	@	-inf	((/ 1 (/ 1 (* (* (- x.re x.im) x.re) (+ x.im x.re)))) (- (/ 1 (/ 1 (* (* (- x.re x.im) x.re) (+ x.im x.re)))) (* (* x.re (+ x.im x.im)) x.im)) (* (* (- x.re x.im) x.re) (+ x.im x.re)) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ x.re x.im) (/ x.re x.im)) -3)) (* x.im x.im)) (* x.re (+ (* (/ x.re x.im) (/ x.re x.im)) -3)) (+ (* (/ x.re x.im) (/ x.re x.im)) -3) (* (/ x.re (+ (* x.im x.im) (* x.re (- x.re x.im)))) (+ (* (neg x.im) x.im) (* x.re x.re))) (/ x.re (+ (* x.im x.im) (* x.re (- x.re x.im)))) (+ (* x.im x.im) (* x.re (- x.re x.im))) (* x.re (- x.re x.im)) (/ 1 (* (* (- x.re x.im) x.re) (+ x.im x.re))) (* (* x.re (+ x.im x.im)) x.im) (+ (* (* (/ x.re (+ (* x.im x.im) (* x.re (- x.re x.im)))) (+ (* (neg x.im) x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re (- x.re x.im)))) (* 2 x.im)))
4.0ms	x.re	@	0	((/ 1 (/ 1 (* (* (- x.re x.im) x.re) (+ x.im x.re)))) (- (/ 1 (/ 1 (* (* (- x.re x.im) x.re) (+ x.im x.re)))) (* (* x.re (+ x.im x.im)) x.im)) (* (* (- x.re x.im) x.re) (+ x.im x.re)) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ x.re x.im) (/ x.re x.im)) -3)) (* x.im x.im)) (* x.re (+ (* (/ x.re x.im) (/ x.re x.im)) -3)) (+ (* (/ x.re x.im) (/ x.re x.im)) -3) (* (/ x.re (+ (* x.im x.im) (* x.re (- x.re x.im)))) (+ (* (neg x.im) x.im) (* x.re x.re))) (/ x.re (+ (* x.im x.im) (* x.re (- x.re x.im)))) (+ (* x.im x.im) (* x.re (- x.re x.im))) (* x.re (- x.re x.im)) (/ 1 (* (* (- x.re x.im) x.re) (+ x.im x.re))) (* (* x.re (+ x.im x.im)) x.im) (+ (* (* (/ x.re (+ (* x.im x.im) (* x.re (- x.re x.im)))) (+ (* (neg x.im) x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re (- x.re x.im)))) (* 2 x.im)))
3.0ms	x.im	@	-inf	((/ 1 (/ 1 (* (* (- x.re x.im) x.re) (+ x.im x.re)))) (- (/ 1 (/ 1 (* (* (- x.re x.im) x.re) (+ x.im x.re)))) (* (* x.re (+ x.im x.im)) x.im)) (* (* (- x.re x.im) x.re) (+ x.im x.re)) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ x.re x.im) (/ x.re x.im)) -3)) (* x.im x.im)) (* x.re (+ (* (/ x.re x.im) (/ x.re x.im)) -3)) (+ (* (/ x.re x.im) (/ x.re x.im)) -3) (* (/ x.re (+ (* x.im x.im) (* x.re (- x.re x.im)))) (+ (* (neg x.im) x.im) (* x.re x.re))) (/ x.re (+ (* x.im x.im) (* x.re (- x.re x.im)))) (+ (* x.im x.im) (* x.re (- x.re x.im))) (* x.re (- x.re x.im)) (/ 1 (* (* (- x.re x.im) x.re) (+ x.im x.re))) (* (* x.re (+ x.im x.im)) x.im) (+ (* (* (/ x.re (+ (* x.im x.im) (* x.re (- x.re x.im)))) (+ (* (neg x.im) x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re (- x.re x.im)))) (* 2 x.im)))

simplify174.0ms (1.4%)

Memory

-5.0MiB live, 152.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	537	2133
1	1714	1690
2	5874	1568
0	8469	1505

Stop Event

1×	iter limit
1×	node limit

Counts

136 → 135

Calls

Call 1

Inputs
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(* -1 (* x.im x.re))
(* x.re (+ x.re (* -1 x.im)))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* x.im x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* -3 x.re)
(* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3))
-3
(- (/ (pow x.re 2) (pow x.im 2)) 3)
(* -1 x.re)
(* x.re (- (* -1 (/ x.re x.im)) 1))
(* x.re (- (* x.re (- (/ x.re (pow x.im 2)) (/ 1 x.im))) 1))
(* x.re (- (* x.re (- (* x.re (+ (* 2 (/ x.re (pow x.im 3))) (/ 1 (pow x.im 2)))) (/ 1 x.im))) 1))
(/ x.re (pow x.im 2))
(* x.re (+ (/ 1 (pow x.im 2)) (/ x.re (pow x.im 3))))
(* x.re (+ (* x.re (+ (* -1 (/ (pow x.re 2) (pow x.im 5))) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2))))
(* x.re (+ (* x.re (+ (* (pow x.re 2) (- (* -1 (/ x.re (pow x.im 6))) (/ 1 (pow x.im 5)))) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2))))
(pow x.im 2)
(+ (* -1 (* x.im x.re)) (pow x.im 2))
(+ (* x.re (+ x.re (* -1 x.im))) (pow x.im 2))
(/ -1 (* (pow x.im 2) x.re))
(/ (- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2))) x.re)
(/ (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) x.re)
(/ (- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) x.re)
(* 2 (* (pow x.im 2) x.re))
(* 2 x.im)
(+ (* -1 (* (pow x.im 2) x.re)) (* 2 x.im))
(+ (* 2 x.im) (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(/ (pow x.re 3) (pow x.im 2))
(* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(/ (pow x.re 2) (pow x.im 2))
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* -1 (/ x.im x.re))))
(* x.re (- (+ 1 (* -2 (/ (pow x.im 3) (pow x.re 3)))) (+ (* -1 (/ x.im x.re)) (/ (pow x.im 2) (pow x.re 2)))))
(/ 1 x.re)
(/ (+ 1 (/ x.im x.re)) x.re)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))) (* -1 (/ x.im x.re))) x.re)
(/ (- (+ 1 (* -1 (/ (+ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3)) (pow x.re 3)))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))))) x.re)
(* (pow x.re 2) (- (+ 1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))
(/ 1 (pow x.re 3))
(/ (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re))) (pow x.re 3))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))) (pow x.re 2)))) (+ (* -1 (/ x.im x.re)) (/ x.im x.re))) (pow x.re 3))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))))) (* (pow x.im 2) (+ x.im (* -1 x.im)))) (pow x.re 3)))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.re 2))) (/ x.im x.re))))) (pow x.re 3))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (* 2 (/ x.im (pow x.re 3))))))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ (+ x.im (* -1 (/ (pow x.im 2) x.re))) x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ (+ x.im (* -1 (/ (+ (* 2 (/ (pow x.im 3) x.re)) (pow x.im 2)) x.re))) x.re)) 1)))
(* -1 (/ (- (* -1 (/ x.im x.re)) 1) x.re))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow x.im 2) x.re)) (/ (pow x.im 2) x.re)) (* -1 x.im)) x.re)) 1) x.re))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) x.re)) (/ (pow x.im 3) x.re)) (+ (* -1 (pow x.im 2)) (pow x.im 2))) x.re)) (* -1 x.im)) x.re)) 1) x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (+ x.im (* -1 (/ (pow x.im 2) x.re))) x.re))))
(* -1 (/ (- (+ (* -1 (/ x.im x.re)) (/ x.im x.re)) 1) (pow x.re 3)))
(* -1 (/ (- (* -1 (/ (- (+ (/ (pow x.im 2) x.re) (/ (pow (+ x.im (* -1 x.im)) 2) x.re)) (+ x.im (* -1 x.im))) x.re)) 1) (pow x.re 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.im (* -1 x.im)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2))) x.re) (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) x.re)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2))) x.re)) (+ x.im (* -1 x.im))) x.re)) 1) (pow x.re 3)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (+ (* -2 (/ x.im (pow x.re 3))) (/ (pow x.im 2) (pow x.re 2))) 1)))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(* -3 x.im)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2))
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2))
(+ x.im x.re)
(+ x.re (* x.im (+ 1 (* -1 (/ x.im x.re)))))
(+ x.re (* x.im (+ 1 (* x.im (- (* -2 (/ x.im (pow x.re 2))) (/ 1 x.re))))))
(+ (/ 1 x.re) (/ x.im (pow x.re 2)))
(+ (* x.im (+ (* -1 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2)))) (/ 1 x.re))
(+ (* x.im (+ (* (pow x.im 2) (- (* -1 (/ x.im (pow x.re 5))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))) (/ 1 x.re))
(+ (* x.im (+ x.im (* -1 x.re))) (pow x.re 2))
(+ (/ 1 (pow x.re 3)) (/ (pow x.im 2) (pow x.re 5)))
(+ (* (pow x.im 2) (+ (/ 1 (pow x.re 5)) (/ (pow x.im 2) (pow x.re 7)))) (/ 1 (pow x.re 3)))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 7)) (/ (pow x.im 2) (pow x.re 9)))) (/ 1 (pow x.re 5)))) (/ 1 (pow x.re 3)))
(+ (* 2 x.im) (pow x.re 3))
(+ (* x.im (+ 2 (* -1 (* x.im x.re)))) (pow x.re 3))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))
(+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))
(- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (/ (pow x.re 2) x.im))
(- (+ (* -1 x.re) (* 2 (/ (pow x.re 4) (pow x.im 3)))) (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (/ (pow x.re 2) x.im)))
(/ (+ x.re (/ (pow x.re 2) x.im)) (pow x.im 2))
(/ (- (+ x.re (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) (pow x.im 2)))) (* -1 (/ (pow x.re 2) x.im))) (pow x.im 2))
(/ (- (+ x.re (* -1 (/ (+ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.re 4)) (pow x.im 3)))) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (/ (pow x.re 3) (pow x.im 2))))) (pow x.im 2))
(* (pow x.im 2) (+ 1 (* -1 (/ x.re x.im))))
(* (pow x.im 2) (+ 1 (+ (* -1 (/ x.re x.im)) (/ (pow x.re 2) (pow x.im 2)))))
(/ (- (* -1 (/ x.re (pow x.im 2))) (/ 1 x.re)) (pow x.im 2))
(/ (- (* -1 (/ (* x.re (+ x.re (* -1 x.re))) (pow x.im 3))) (+ (/ 1 x.re) (/ x.re (pow x.im 2)))) (pow x.im 2))
(/ (- (* -1 (/ (+ (* x.re (pow (+ x.re (* -1 x.re)) 2)) (pow x.re 3)) (pow x.im 4))) (+ (/ 1 x.re) (+ (/ x.re (pow x.im 2)) (/ (* x.re (+ x.re (* -1 x.re))) (pow x.im 3))))) (pow x.im 2))
(* (pow x.im 2) (+ (* -1 x.re) (* 2 (/ 1 x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (* 2 (/ 1 x.im)) (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(+ (* -1 x.re) (* -1 (/ (- (* -1 (/ (pow x.re 3) x.im)) (* -1 (pow x.re 2))) x.im)))
(+ (* -1 x.re) (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x.re 4) x.im)) (* -1 (pow x.re 3))) x.im)) (* -1 (pow x.re 2))) x.im)))
(/ (+ x.re (* -1 (/ (- (+ (* -1 (/ (pow x.re 3) x.im)) (/ (pow x.re 3) x.im)) (pow x.re 2)) x.im))) (pow x.im 2))
(/ (+ x.re (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) x.im)) (* -1 (/ (pow x.re 4) x.im))) (+ (* -1 (pow x.re 3)) (pow x.re 3))) x.im)) (pow x.re 2)) x.im))) (pow x.im 2))
(* (pow x.im 2) (+ 1 (* -1 (/ (+ x.re (* -1 (/ (pow x.re 2) x.im))) x.im))))
(/ (- (/ (* x.re (+ x.re (* -1 x.re))) (pow x.im 3)) (+ (/ 1 x.re) (/ x.re (pow x.im 2)))) (pow x.im 2))
(/ (- (* -1 (/ (- (+ (/ (* x.re (pow (+ x.re (* -1 x.re)) 2)) x.im) (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) (pow x.im 3))) (+ (/ 1 x.re) (/ x.re (pow x.im 2)))) (pow x.im 2))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (- (* -1 (/ (pow x.re 3) x.im)) 2) x.im))))

Outputs
(* -1 (* (pow x.im 2) x.re))
(.f64 (.f64 (neg.f64 x.im) x.re) x.im)
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(.f64 (.f64 (neg.f64 x.im) x.re) x.im)
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) x.re)
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(* -1 (* x.im x.re))
(*.f64 (neg.f64 x.im) x.re)
(* x.re (+ x.re (* -1 x.im)))
(*.f64 (-.f64 x.re x.im) x.re)
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(* -3 (* (pow x.im 2) x.re))
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(* -3 (* x.im x.re))
(.f64 (.f64 #s(literal -3 binary64) x.re) x.im)
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(* -3 x.re)
(*.f64 #s(literal -3 binary64) x.re)
(* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3))
(fma.f64 #s(literal -3 binary64) x.re (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im))
-3
#s(literal -3 binary64)
(- (/ (pow x.re 2) (pow x.im 2)) 3)
(fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))
(* -1 x.re)
(neg.f64 x.re)
(* x.re (- (* -1 (/ x.re x.im)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) x.re)
(* x.re (- (* x.re (- (/ x.re (pow x.im 2)) (/ 1 x.im))) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im) #s(literal 1 binary64)) x.re)
(* x.re (- (* x.re (- (* x.re (+ (* 2 (/ x.re (pow x.im 3))) (/ 1 (pow x.im 2)))) (/ 1 x.im))) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x.im) x.im)) x.re (/.f64 #s(literal -1 binary64) x.im)) x.re #s(literal -1 binary64)) x.re)
(/ x.re (pow x.im 2))
(/.f64 (/.f64 x.re x.im) x.im)
(* x.re (+ (/ 1 (pow x.im 2)) (/ x.re (pow x.im 3))))
(/.f64 (/.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im) x.im)
(* x.re (+ (* x.re (+ (* -1 (/ (pow x.re 2) (pow x.im 5))) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2))))
(fma.f64 (+.f64 (/.f64 (neg.f64 (pow.f64 x.re #s(literal 3 binary64))) (pow.f64 x.im #s(literal 5 binary64))) (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64)))) x.re (/.f64 (/.f64 x.re x.im) x.im))
(* x.re (+ (* x.re (+ (* (pow x.re 2) (- (* -1 (/ x.re (pow x.im 6))) (/ 1 (pow x.im 5)))) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2))))
(fma.f64 (fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 5 binary64))) (/.f64 x.re (pow.f64 x.im #s(literal 6 binary64)))) (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64)))) x.re (/.f64 (/.f64 x.re x.im) x.im))
(pow x.im 2)
(*.f64 x.im x.im)
(+ (* -1 (* x.im x.re)) (pow x.im 2))
(*.f64 (-.f64 x.im x.re) x.im)
(+ (* x.re (+ x.re (* -1 x.im))) (pow x.im 2))
(fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im))
(/ -1 (* (pow x.im 2) x.re))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)) x.re)
(/ (- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2))) x.re)
(/.f64 (fma.f64 (neg.f64 x.re) (/.f64 x.re (pow.f64 x.im #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))) x.re)
(/ (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) x.re)
(/.f64 (fma.f64 (neg.f64 (fma.f64 x.re (/.f64 x.re (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 4 binary64))))) (.f64 x.re x.re) (/.f64 #s(literal -1 binary64) (.f64 x.im x.im))) x.re)
(/ (- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))) x.re)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x.re) (/.f64 x.re (pow.f64 x.im #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 x.re x.re) (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 x.re x.re) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))) x.re)
(* 2 (* (pow x.im 2) x.re))
(.f64 (.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re)
(* 2 x.im)
(*.f64 #s(literal 2 binary64) x.im)
(+ (* -1 (* (pow x.im 2) x.re)) (* 2 x.im))
(*.f64 (fma.f64 (neg.f64 x.re) x.im #s(literal 2 binary64)) x.im)
(+ (* 2 x.im) (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))))
(fma.f64 (fma.f64 (neg.f64 x.re) x.im #s(literal 2 binary64)) x.im (pow.f64 x.re #s(literal 3 binary64)))
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(pow.f64 x.re #s(literal 3 binary64))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (.f64 (/.f64 x.im x.re) x.im) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.re) x.re)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (.f64 (/.f64 x.im x.re) x.im) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (.f64 (/.f64 x.im x.re) x.im) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(/ (pow x.re 3) (pow x.im 2))
(/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im)
(* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x.im) x.im) (/.f64 #s(literal 3 binary64) (.f64 x.re x.re))) (pow.f64 x.re #s(literal 3 binary64)))
(/ (pow x.re 2) (pow x.im 2))
(*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x.im) x.im) (/.f64 #s(literal 3 binary64) (.f64 x.re x.re))) (*.f64 x.re x.re))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* x.re (- (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (* -1 (/ x.im x.re))))
(.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.im) x.re) #s(literal 1 binary64)) x.re)
(* x.re (- (+ 1 (* -2 (/ (pow x.im 3) (pow x.re 3)))) (+ (* -1 (/ x.im x.re)) (/ (pow x.im 2) (pow x.re 2)))))
(.f64 (fma.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 3 binary64)) #s(literal -2 binary64) (+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.im) x.re) #s(literal 1 binary64))) x.re)
(/ 1 x.re)
(/.f64 #s(literal 1 binary64) x.re)
(/ (+ 1 (/ x.im x.re)) x.re)
(/.f64 (+.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) x.re)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))) (* -1 (/ x.im x.re))) x.re)
(/.f64 (+.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) x.re)
(/ (- (+ 1 (* -1 (/ (+ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3)) (pow x.re 3)))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2))))) x.re)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 x.im x.re)) x.re)
(* (pow x.re 2) (- (+ 1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.im) x.re)) (*.f64 x.re x.re))
(/ 1 (pow x.re 3))
(/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64)))
(/ (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re))) (pow x.re 3))
(/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64)))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))) (pow x.re 2)))) (+ (* -1 (/ x.im x.re)) (/ x.im x.re))) (pow x.re 3))
(/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 2)) (* -1 (pow (+ x.im (* -1 x.im)) 2))))) (* (pow x.im 2) (+ x.im (* -1 x.im)))) (pow x.re 3)))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.re 2))) (/ x.im x.re))))) (pow x.re 3))
(/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (* 2 (/ x.im (pow x.re 3))))))
(*.f64 (fma.f64 (/.f64 x.im (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64) (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(pow.f64 x.re #s(literal 3 binary64))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (.f64 (/.f64 x.im x.re) x.im) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (.f64 (/.f64 x.im x.re) x.im) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (.f64 (/.f64 x.im x.re) x.im) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))
(.f64 (neg.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 x.re x.re)) (/.f64 (/.f64 #s(literal 1 binary64) x.im) x.im))) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* -1 (* x.re (- (* -1 (/ (+ x.im (* -1 (/ (pow x.im 2) x.re))) x.re)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x.im x.re) x.im (neg.f64 x.im)) x.re) #s(literal 1 binary64)) (neg.f64 x.re))
(* -1 (* x.re (- (* -1 (/ (+ x.im (* -1 (/ (+ (* 2 (/ (pow x.im 3) x.re)) (pow x.im 2)) x.re))) x.re)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 x.im (/.f64 (fma.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) #s(literal 2 binary64) (.f64 x.im x.im)) x.re)) x.re)) (neg.f64 x.re))
(* -1 (/ (- (* -1 (/ x.im x.re)) 1) x.re))
(/.f64 (+.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) x.re)
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow x.im 2) x.re)) (/ (pow x.im 2) x.re)) (* -1 x.im)) x.re)) 1) x.re))
(/.f64 (+.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) x.re)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) x.re)) (/ (pow x.im 3) x.re)) (+ (* -1 (pow x.im 2)) (pow x.im 2))) x.re)) (* -1 x.im)) x.re)) 1) x.re))
(/.f64 (+.f64 (/.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) x.re) #s(literal 1 binary64)) x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (+ x.im (* -1 (/ (pow x.im 2) x.re))) x.re))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.im) x.re)) (*.f64 x.re x.re))
(* -1 (/ (- (+ (* -1 (/ x.im x.re)) (/ x.im x.re)) 1) (pow x.re 3)))
(/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (- (+ (/ (pow x.im 2) x.re) (/ (pow (+ x.im (* -1 x.im)) 2) x.re)) (+ x.im (* -1 x.im))) x.re)) 1) (pow x.re 3)))
(/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.im (* -1 x.im)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2))) x.re) (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) x.re)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2))) x.re)) (+ x.im (* -1 x.im))) x.re)) 1) (pow x.re 3)))
(/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (+ (* -2 (/ x.im (pow x.re 3))) (/ (pow x.im 2) (pow x.re 2))) 1)))
(*.f64 (neg.f64 (fma.f64 (/.f64 x.im (pow.f64 x.re #s(literal 3 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -1 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(pow.f64 x.re #s(literal 3 binary64))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) x.re)
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(*.f64 (-.f64 x.re x.im) x.re)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(* -3 x.im)
(*.f64 #s(literal -3 binary64) x.im)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2))
(.f64 (/.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.im) (/.f64 x.re x.im))
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2))
(/.f64 (/.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re)) x.im) x.im)
(+ x.im x.re)
(+.f64 x.im x.re)
(+ x.re (* x.im (+ 1 (* -1 (/ x.im x.re)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.im x.re)
(+ x.re (* x.im (+ 1 (* x.im (- (* -2 (/ x.im (pow x.re 2))) (/ 1 x.re))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x.re) (/.f64 x.im x.re) (/.f64 #s(literal -1 binary64) x.re)) x.im #s(literal 1 binary64)) x.im x.re)
(+ (/ 1 x.re) (/ x.im (pow x.re 2)))
(/.f64 (+.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) x.re)
(+ (* x.im (+ (* -1 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2)))) (/ 1 x.re))
(+.f64 (/.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) x.re))
(+ (* x.im (+ (* (pow x.im 2) (- (* -1 (/ x.im (pow x.re 5))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))) (/ 1 x.re))
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 x.re #s(literal 5 binary64)))) (pow.f64 x.im #s(literal 3 binary64)) (/.f64 (+.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) x.re))
(+ (* x.im (+ x.im (* -1 x.re))) (pow x.re 2))
(fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im))
(+ (/ 1 (pow x.re 3)) (/ (pow x.im 2) (pow x.re 5)))
(fma.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64))))
(+ (* (pow x.im 2) (+ (/ 1 (pow x.re 5)) (/ (pow x.im 2) (pow x.re 7)))) (/ 1 (pow x.re 3)))
(fma.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 5 binary64))) (-.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 7 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 3 binary64)))))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 7)) (/ (pow x.im 2) (pow x.re 9)))) (/ 1 (pow x.re 5)))) (/ 1 (pow x.re 3)))
(fma.f64 (fma.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 7 binary64)))) (pow.f64 x.im #s(literal 4 binary64)) (fma.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64)))))
(+ (* 2 x.im) (pow x.re 3))
(fma.f64 #s(literal 2 binary64) x.im (pow.f64 x.re #s(literal 3 binary64)))
(+ (* x.im (+ 2 (* -1 (* x.im x.re)))) (pow x.re 3))
(fma.f64 (fma.f64 (neg.f64 x.re) x.im #s(literal 2 binary64)) x.im (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(.f64 (.f64 (neg.f64 x.im) x.re) x.im)
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(.f64 (.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im) x.re) x.im) x.im)
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(.f64 (fma.f64 #s(literal -3 binary64) x.re (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im)) (.f64 x.im x.im))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(*.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im)
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(.f64 (fma.f64 #s(literal -3 binary64) x.re (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im)) (.f64 x.im x.im))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(.f64 (fma.f64 #s(literal -3 binary64) x.re (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im)) (.f64 x.im x.im))
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))
(fma.f64 #s(literal -3 binary64) x.re (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im))
(+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) x.re)
(- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (/ (pow x.re 2) x.im))
(-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) (*.f64 x.re x.re)) x.im) x.re)
(- (+ (* -1 x.re) (* 2 (/ (pow x.re 4) (pow x.im 3)))) (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (/ (pow x.re 2) x.im)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) x.im) #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64))) x.im) (*.f64 x.re x.re)) x.im) x.re)
(/ (+ x.re (/ (pow x.re 2) x.im)) (pow x.im 2))
(/.f64 (/.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im) x.im)
(/ (- (+ x.re (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) (pow x.im 2)))) (* -1 (/ (pow x.re 2) x.im))) (pow x.im 2))
(/.f64 (/.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im) x.im)
(/ (- (+ x.re (* -1 (/ (+ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.re 4)) (pow x.im 3)))) (+ (* -1 (/ (pow x.re 2) x.im)) (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (/ (pow x.re 3) (pow x.im 2))))) (pow x.im 2))
(/.f64 (fma.f64 x.re (/.f64 x.re x.im) (-.f64 x.re (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 3 binary64))))) (*.f64 x.im x.im))
(* (pow x.im 2) (+ 1 (* -1 (/ x.re x.im))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.re x.im)) x.im) x.im)
(* (pow x.im 2) (+ 1 (+ (* -1 (/ x.re x.im)) (/ (pow x.re 2) (pow x.im 2)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x.re) (/.f64 x.re x.im) x.re) x.im)) (.f64 x.im x.im))
(/ (- (* -1 (/ x.re (pow x.im 2))) (/ 1 x.re)) (pow x.im 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x.re) (/.f64 (/.f64 x.re x.im) x.im)) (*.f64 x.im x.im))
(/ (- (* -1 (/ (* x.re (+ x.re (* -1 x.re))) (pow x.im 3))) (+ (/ 1 x.re) (/ x.re (pow x.im 2)))) (pow x.im 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x.re) (/.f64 (/.f64 x.re x.im) x.im)) (*.f64 x.im x.im))
(/ (- (* -1 (/ (+ (* x.re (pow (+ x.re (* -1 x.re)) 2)) (pow x.re 3)) (pow x.im 4))) (+ (/ 1 x.re) (+ (/ x.re (pow x.im 2)) (/ (* x.re (+ x.re (* -1 x.re))) (pow x.im 3))))) (pow x.im 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x.re) (/.f64 (/.f64 x.re x.im) x.im)) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 x.im x.im))
(* (pow x.im 2) (+ (* -1 x.re) (* 2 (/ 1 x.im))))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) x.im) x.re) x.im) x.im)
(* (pow x.im 2) (+ (* -1 x.re) (+ (* 2 (/ 1 x.im)) (/ (pow x.re 3) (pow x.im 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im)) x.re) (.f64 x.im x.im))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(.f64 (.f64 (neg.f64 x.im) x.re) x.im)
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(.f64 (.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im) x.re) x.im) x.im)
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(.f64 (fma.f64 #s(literal -3 binary64) x.re (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im)) (.f64 x.im x.im))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(*.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im)
(+ (* -1 x.re) (* -1 (/ (- (* -1 (/ (pow x.re 3) x.im)) (* -1 (pow x.re 2))) x.im)))
(-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) (*.f64 x.re x.re)) x.im) x.re)
(+ (* -1 x.re) (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x.re 4) x.im)) (* -1 (pow x.re 3))) x.im)) (* -1 (pow x.re 2))) x.im)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) x.im) #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64))) x.im) (*.f64 x.re x.re)) x.im) x.re)
(/ (+ x.re (* -1 (/ (- (+ (* -1 (/ (pow x.re 3) x.im)) (/ (pow x.re 3) x.im)) (pow x.re 2)) x.im))) (pow x.im 2))
(/.f64 (/.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im) x.im)
(/ (+ x.re (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) x.im)) (* -1 (/ (pow x.re 4) x.im))) (+ (* -1 (pow x.re 3)) (pow x.re 3))) x.im)) (pow x.re 2)) x.im))) (pow x.im 2))
(/.f64 (/.f64 (-.f64 x.re (/.f64 (fma.f64 (neg.f64 x.re) x.re (/.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) x.im) x.im)) x.im)) x.im) x.im)
(* (pow x.im 2) (+ 1 (* -1 (/ (+ x.re (* -1 (/ (pow x.re 2) x.im))) x.im))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x.re) (/.f64 x.re x.im) x.re) x.im)) (.f64 x.im x.im))
(/ (- (/ (* x.re (+ x.re (* -1 x.re))) (pow x.im 3)) (+ (/ 1 x.re) (/ x.re (pow x.im 2)))) (pow x.im 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x.re) (/.f64 (/.f64 x.re x.im) x.im)) (*.f64 x.im x.im))
(/ (- (* -1 (/ (- (+ (/ (* x.re (pow (+ x.re (* -1 x.re)) 2)) x.im) (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) (pow x.im 3))) (+ (/ 1 x.re) (/ x.re (pow x.im 2)))) (pow x.im 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x.re) (/.f64 (/.f64 x.re x.im) x.im)) (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 x.im x.im))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (- (* -1 (/ (pow x.re 3) x.im)) 2) x.im))))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) #s(literal 2 binary64)) x.im) x.re) (.f64 x.im x.im))

rewrite233.0ms (1.8%)

Memory

-14.9MiB live, 350.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	307
0	82	289
1	356	269
2	2893	269
0	8532	265

Stop Event

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

Counts

23 → 1 359

Calls

Call 1

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

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

eval218.0ms (1.7%)

Memory: 38.1MiB live, 309.1MiB allocated
Compiler: Compiled 42 582 to 3 692 computations (91.3% saved)

prune91.0ms (0.7%)

Memory

-34.5MiB live, 135.9MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	1 304	7	1 311
Fresh	5	6	11
Picked	5	0	5
Done	0	5	5
Total	1 314	18	1 332

Accuracy

100.0%

Counts

1 332 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.4%	(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x.re x.im) x.re (.f64 x.im x.im)) x.re)) (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (.f64 x.re (-.f64 x.re x.im))) (*.f64 #s(literal 2 binary64) x.im))
	27.5%	(fma.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) (/.f64 x.re (fma.f64 (-.f64 x.re x.im) x.re (.f64 x.im x.im))))) (fma.f64 x.im x.im (.f64 x.re (-.f64 x.re x.im))) (*.f64 #s(literal 2 binary64) x.im))
	81.2%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x.im x.re) (.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 x.re x.re)) (+.f64 x.im x.re))) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
	63.3%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)))) (+.f64 x.im x.im))
✓	95.5%	(-.f64 (.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.im x.re) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
	93.2%	(-.f64 (.f64 (-.f64 x.re x.im) #s(approx ( (+ x.im x.re) x.re) (.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
	85.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 x.re x.re) x.re (.f64 (.f64 (.f64 x.im x.im) x.re) #s(literal -3 binary64))))
✓	89.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
	87.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)))) x.re))
	68.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 x.re (/.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64))) (.f64 x.im x.im)))
	40.1%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(approx (+ (* (/ x.re x.im) (/ x.re x.im)) -3) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)))) (.f64 x.im x.im)))
	54.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
✓	48.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
✓	54.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
✓	48.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))
	58.9%	#s(approx (- (* (- x.re x.im) (* (+ x.im x.re) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
	20.5%	#s(approx (+ (* (* (/ x.re (+ (* x.im x.im) (* x.re (- x.re x.im)))) (+ (* (neg x.im) x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re (- x.re x.im)))) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.re) x.im #s(literal 2 binary64)) x.im))
	2.8%	#s(approx (+ (* (* (/ x.re (+ (* x.im x.im) (* x.re (- x.re x.im)))) (+ (* (neg x.im) x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re (- x.re x.im)))) (* 2 x.im)) (*.f64 #s(literal 2 binary64) x.im))

Compiler

Compiled 1 578 to 478 computations (69.7% saved)

regimes38.0ms (0.3%)

Memory

2.1MiB live, 76.6MiB allocated

Counts

38 → 2

Calls

Call 1

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

Outputs

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

(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)))) (+.f64 x.im x.im))

Calls

3 calls:

14.0ms	x.re
12.0ms	x.im
10.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
99.8%	2	`x.re`
97.9%	2	`x.im`
99.8%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes18.0ms (0.1%)

Memory

-2.8MiB live, 42.1MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

10.0ms	x.re
7.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
97.1%	2	`x.re`
99.8%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes16.0ms (0.1%)

Memory

0.2MiB live, 38.2MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

9.0ms	x.im
6.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
97.9%	2	`x.im`
97.9%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes16.0ms (0.1%)

Memory

-2.7MiB live, 36.2MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x.re
5.0ms	x.im
4.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
54.3%	1	`x.re`
54.3%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
54.3%	1	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes9.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.2%	1	`x.im`
54.2%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
54.2%	1	`x.re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes9.0ms (0.1%)

Memory

-18.1MiB live, 20.3MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.2%	1	`x.im`
54.2%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
54.2%	1	`x.re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes7.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.2%	1	`x.im`
54.2%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
54.2%	1	`x.re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes5.0ms (0%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
20.5%	1	`x.im`
20.5%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
20.5%	1	`x.re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes8.0ms (0.1%)

Memory

-29.1MiB live, 11.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x.im
1.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
1.0ms	x.re

Results

Accuracy	Segments	Branch
2.8%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
2.8%	1	`x.re`
2.8%	1	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.8802608537711812e+246	1.185472485864769e+251

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch17.0ms (0.1%)

Memory

-3.1MiB live, 35.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.3186867810373787e+126	1.83353019297462e+130

Samples

10.0ms

128×

valid

Compiler

Compiled 478 to 296 computations (38.1% saved)

Precisions

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

ival-mult: 4.0ms (66.1% of total)

ival-sub: 1.0ms (16.5% of total)

ival-add: 1.0ms (16.5% of total)

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

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

simplify28.0ms (0.2%)

Memory

32.4MiB live, 71.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	386
1	135	386
2	172	386
3	195	386
4	204	386
5	205	386

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) (-.f64 (.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.im x.re) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)))) (+.f64 x.im x.im)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (-.f64 (.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.im x.re) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im))))
(if (<=.f64 x.im #s(literal 18000000000000000583570330973998083179660721202413390712228706216161531420998368132287486470204749883523899399978336864375742136320 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re)) x.re)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(approx (* -3 (* (* x.im x.re) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)))
#s(approx (+ (* (* (/ x.re (+ (* x.im x.im) (* x.re (- x.re x.im)))) (+ (* (neg x.im) x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re (- x.re x.im)))) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.re) x.im #s(literal 2 binary64)) x.im))
#s(approx (+ (* (* (/ x.re (+ (* x.im x.im) (* x.re (- x.re x.im)))) (+ (* (neg x.im) x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re (- x.re x.im)))) (* 2 x.im)) (*.f64 #s(literal 2 binary64) x.im))

Outputs
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) (-.f64 (.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.im x.re) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)))) (+.f64 x.im x.im)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.im)) #s(literal 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424 binary64)) (-.f64 (.f64 (.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im)) (.f64 (.f64 (+.f64 x.im x.im) x.re) x.im)) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x.re x.im) x.re) (+.f64 x.im x.re)))) (+.f64 x.im x.im)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (-.f64 (.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.im x.re) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (-.f64 (.f64 (.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im)) (.f64 (.f64 (+.f64 x.im x.im) x.re) x.im)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64)) x.re) (*.f64 x.im x.im))))
(if (<=.f64 x.im #s(literal 18000000000000000583570330973998083179660721202413390712228706216161531420998368132287486470204749883523899399978336864375742136320 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re)) x.re)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(approx (* -3 (* (* x.im x.re) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)))
#s(approx (+ (* (* (/ x.re (+ (* x.im x.im) (* x.re (- x.re x.im)))) (+ (* (neg x.im) x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re (- x.re x.im)))) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.re) x.im #s(literal 2 binary64)) x.im))
#s(approx (+ (* (* (/ x.re (+ (* x.im x.im) (* x.re (- x.re x.im)))) (+ (* (neg x.im) x.im) (* x.re x.re))) (+ (* x.im x.im) (* x.re (- x.re x.im)))) (* 2 x.im)) (*.f64 #s(literal 2 binary64) x.im))

soundness1.9s (14.9%)

Memory

-12.7MiB live, 1 076.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	537	2133
1	1714	1690
2	5874	1568
0	8469	1505
0	11	54
0	20	54
1	83	42
0	572	41
0	40	233
0	65	217
1	235	191
2	1342	191
0	8453	186
0	369	1657
1	1193	1356
2	3803	1271
0	8196	1225
0	56	190
1	169	170
2	519	170
3	2113	170
4	5800	170
0	8265	165
0	50	307
0	82	289
1	356	269
2	2893	269
0	8532	265
0	40	265
0	65	237
1	259	207
2	1981	207
0	8368	202

Stop Event

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

Compiler

Compiled 1 076 to 426 computations (60.4% saved)

preprocess177.0ms (1.4%)

Memory: -3.3MiB live, 227.4MiB allocated
Compiler: Compiled 1 516 to 542 computations (64.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample4.9s (38.7%)

explain212.0ms (1.7%)

preprocess384.0ms (3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify209.0ms (1.6%)

localize29.0ms (0.2%)

series14.0ms (0.1%)

simplify156.0ms (1.2%)

rewrite93.0ms (0.7%)

eval9.0ms (0.1%)

prune21.0ms (0.2%)

simplify181.0ms (1.4%)

localize171.0ms (1.3%)

series22.0ms (0.2%)

simplify153.0ms (1.2%)

rewrite275.0ms (2.2%)

eval384.0ms (3%)

prune108.0ms (0.8%)

simplify243.0ms (1.9%)

localize313.0ms (2.5%)

series23.0ms (0.2%)

simplify371.0ms (2.9%)

rewrite462.0ms (3.6%)

eval286.0ms (2.2%)

prune168.0ms (1.3%)

simplify411.0ms (3.2%)

localize138.0ms (1.1%)

series31.0ms (0.2%)

simplify174.0ms (1.4%)

rewrite233.0ms (1.8%)

eval218.0ms (1.7%)

prune91.0ms (0.7%)

regimes38.0ms (0.3%)

regimes18.0ms (0.1%)

regimes16.0ms (0.1%)

regimes16.0ms (0.1%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch17.0ms (0.1%)

simplify28.0ms (0.2%)

soundness1.9s (14.9%)

preprocess177.0ms (1.4%)

end0.0ms (0%)

Profiling