Metrics for math.cube on complex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

sample5.1s (46%)

Memory

41.3MiB live, 1 406.7MiB allocated

Samples

4.8s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 4.6s

ival-mult: 4.4s (95.9% of total)

ival-sub: 102.0ms (2.2% of total)

ival-add: 78.0ms (1.7% of total)

ival-true: 6.0ms (0.1% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain174.0ms (1.6%)

Memory

2.7MiB live, 248.6MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 (-.f64 (.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	15	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	104
↳	`(*.f64 x.re x.re)`	overflow	55
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	97
↳	`(*.f64 x.im x.im)`	overflow	54
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	55
↳	`(*.f64 x.im x.re)`	overflow	25
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	25
↳	`(*.f64 x.re x.im)`	overflow	25
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	12	0
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	12	0
↳	`(*.f64 x.re x.re)`	overflow	55
↳	`(*.f64 x.im x.im)`	overflow	54

Confusion

	Predicted +	Predicted -
+	33	0
-	0	223

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	33	0	0
-	0	0	223

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	223
1	27
2	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 21.0ms (73.9% of total)

ival-sub: 4.0ms (14.1% of total)

ival-add: 2.0ms (7% of total)

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

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

preprocess359.0ms (3.2%)

Memory

-35.1MiB live, 285.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x.im)

(negabs x.re)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.2%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify207.0ms (1.9%)

Memory

48.7MiB live, 235.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize36.0ms (0.3%)

Memory

-28.3MiB live, 61.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.15625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	2.6953001149812352	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	2.922595031585764	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy	3.0820312500000004	(-.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))

Samples

23.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 9.0ms (72.4% of total)

ival-sub: 2.0ms (16.1% of total)

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

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

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

series14.0ms (0.1%)

Memory

-10.5MiB live, 26.9MiB allocated

Counts

5 → 22

Calls

Call 1

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

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

Calls

6 calls:

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

simplify143.0ms (1.3%)

Memory

-29.9MiB live, 199.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

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

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

rewrite41.0ms (0.4%)

Memory

17.3MiB live, 56.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 92

Calls

Call 1

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

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

eval83.0ms (0.7%)

Memory: -23.3MiB live, 22.1MiB allocated
Compiler: Compiled 2 560 to 337 computations (86.8% saved)

prune7.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

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

Accuracy

99.9%

Counts

103 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.4%	(-.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 (.f64 x.re x.re))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	45.5%	(-.f64 (.f64 (/.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))))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	56.5%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (neg.f64 (.f64 x.im x.re)) (neg.f64 (.f64 x.im x.re))) x.im))
	87.2%	(-.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))
▶	93.9%	(-.f64 (.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.im))
▶	54.0%	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	67.4%	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	88.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* 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))))
	59.1%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
▶	58.2%	#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)))

Compiler

Compiled 476 to 278 computations (41.6% saved)

simplify168.0ms (1.5%)

Memory

-9.1MiB live, 183.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x.im x.re)
cost-diff	0	(.f64 (.f64 x.im x.re) x.im)
cost-diff	0	(fma.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.re) x.im) (pow.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)) (fma.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.re) x.im) (pow.f64 x.re #s(literal 3 binary64))))
cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
cost-diff	4	(+.f64 (neg.f64 (.f64 x.im x.re)) (neg.f64 (.f64 x.im x.re)))
cost-diff	9	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (neg.f64 (.f64 x.im x.re)) (neg.f64 (.f64 x.im x.re))) x.im))
cost-diff	0	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))
cost-diff	0	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re)
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	3	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
cost-diff	0	(*.f64 x.im x.re)
cost-diff	0	(.f64 (.f64 x.im x.re) x.im)
cost-diff	0	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
cost-diff	0	(+.f64 x.im x.re)
cost-diff	0	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re))
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	7	(-.f64 (.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.im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	315
0	65	310
1	122	294
2	238	294
3	772	256
4	2827	256
5	5686	256
6	7404	256
0	8181	254

Stop Event

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

Calls

Call 1

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

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

localize100.0ms (0.9%)

Memory

32.4MiB live, 110.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* 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))))
accuracy	0.15625	(.f64 (.f64 x.im x.re) x.im)
accuracy	6.570283601622882	(fma.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.re) x.im) (pow.f64 x.re #s(literal 3 binary64)))
accuracy	0.15625	(.f64 (+.f64 (neg.f64 (.f64 x.im x.re)) (neg.f64 (*.f64 x.im x.re))) x.im)
accuracy	2.6953001149812352	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	2.922595031585764	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy	7.968750000000001	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (neg.f64 (.f64 x.im x.re)) (neg.f64 (.f64 x.im x.re))) x.im))
accuracy	0.15625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	2.922595031585764	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re)
accuracy	3.0820312500000004	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
accuracy	27.49129879663431	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.15625	(.f64 (.f64 x.im x.re) x.im)
accuracy	0.1640625	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im))
accuracy	26.60857764995904	#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	0.0	(*.f64 x.im x.re)
accuracy	0.12890625	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re))
accuracy	0.15625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	3.0820312500000004	(-.f64 (.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.im))

Samples

77.0ms

256×

valid

Compiler

Compiled 284 to 30 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 17.0ms (51.6% of total)

ival-sub: 5.0ms (15.2% of total)

ival-add: 5.0ms (15.2% of total)

ival-pow: 3.0ms (9.1% of total)

ival-neg: 2.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

series91.0ms (0.8%)

Memory

-9.8MiB live, 33.4MiB allocated

Counts

19 → 67

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
78.0ms	x.re	@	0	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (+ (neg (* x.im x.re)) (neg (* x.im x.re))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* 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)) (pow x.re 3)) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im))
3.0ms	x.re	@	-inf	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (+ (neg (* x.im x.re)) (neg (* x.im x.re))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* 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)) (pow x.re 3)) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im))
3.0ms	x.re	@	inf	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (+ (neg (* x.im x.re)) (neg (* x.im x.re))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* 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)) (pow x.re 3)) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im))
2.0ms	x.im	@	-inf	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (+ (neg (* x.im x.re)) (neg (* x.im x.re))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* 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)) (pow x.re 3)) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im))
2.0ms	x.im	@	inf	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (+ (neg (* x.im x.re)) (neg (* x.im x.re))) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (- (* (- (* 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)) (pow x.re 3)) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im))

simplify192.0ms (1.7%)

Memory

16.7MiB live, 129.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	925
1	635	696
2	2161	600
3	6800	600
0	8201	575

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 65

Calls

Call 1

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

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

rewrite166.0ms (1.5%)

Memory

-41.1MiB live, 85.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	236
0	65	225
1	240	194
0	1588	189

Stop Event

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

Counts

19 → 365

Calls

Call 1

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

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

eval51.0ms (0.5%)

Memory: 26.0MiB live, 64.5MiB allocated
Compiler: Compiled 10 090 to 950 computations (90.6% saved)

prune27.0ms (0.2%)

Memory

-10.5MiB live, 35.5MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	351	11	362
Fresh	4	1	5
Picked	5	0	5
Done	0	0	0
Total	360	12	372

Accuracy

100.0%

Counts

372 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.3%	(-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	34.3%	(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))) x.im))
	73.6%	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.re)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	81.0%	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	59.1%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
▶	90.8%	#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))
	76.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
	58.3%	#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.re x.im) (*.f64 x.im #s(literal -3 binary64))))
▶	58.3%	#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) (*.f64 x.re x.im)) x.im))
	53.9%	#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)))
▶	58.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.re))
▶	23.9%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (.f64 x.im x.im) x.re))

Compiler

Compiled 688 to 388 computations (43.6% saved)

simplify235.0ms (2.1%)

Memory

0.9MiB live, 112.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (-.f64 x.re x.im) x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)))
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	7	(-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
cost-diff	8	(/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	(fma.f64 x.re x.re (*.f64 x.im x.im))
cost-diff	0	(.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.re)
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.re))
cost-diff	0	(*.f64 x.re x.im)
cost-diff	0	(.f64 #s(literal -3 binary64) (.f64 x.re x.im))
cost-diff	0	(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.re x.im)) x.im)
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.re x.im)) x.im))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	(.f64 (.f64 x.im x.im) x.re)
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (.f64 x.im x.im) x.re))
cost-diff	0	(*.f64 x.im x.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))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	290
0	62	265
1	129	257
2	319	251
3	1235	217
4	4744	217
0	8306	217

Stop Event

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

Calls

Call 1

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

localize218.0ms (2%)

Memory

-3.6MiB live, 83.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.142910009768442	(.f64 (.f64 (-.f64 x.re x.im) x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)))
accuracy	0.15625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	3.0820312500000004	(-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
accuracy	7.015663914827676	(/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re))
accuracy	0.0	(fma.f64 x.re x.re (*.f64 x.im x.im))
accuracy	0.0	(*.f64 x.im x.im)
accuracy	0.0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.re))
accuracy	2.922595031585764	(.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.re)
accuracy	0.0	(*.f64 x.re x.im)
accuracy	0.12890625	(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.re x.im)) x.im)
accuracy	0.22265625	(.f64 #s(literal -3 binary64) (.f64 x.re x.im))
accuracy	26.60857764995904	#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.re x.im)) x.im))
accuracy	0.0	(*.f64 x.im x.im)
accuracy	6.518094696023963	(.f64 (.f64 x.im x.im) x.re)
accuracy	22.334127513519398	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (.f64 x.im x.im) x.re))
accuracy	0.0	(*.f64 x.im x.im)
accuracy	0.0	#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	2.785143864981235	(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re))
accuracy	2.9063495046233663	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)

Samples

97.0ms

256×

valid

Compiler

Compiled 262 to 34 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 45.0ms (75.1% of total)

ival-sub: 7.0ms (11.7% of total)

ival-add: 5.0ms (8.3% of total)

ival-div: 2.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

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

series51.0ms (0.5%)

Memory

-12.9MiB live, 25.3MiB allocated

Counts

18 → 82

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
33.0ms	x.im	@	-inf	((- (* (- (* 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.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (* (* x.im x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.re x.im)) x.im) (* -3 (* x.re x.im)) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (* (+ (* x.re x.re) (* x.im x.im)) x.re) (+ (* x.re x.re) (* x.im x.im)) (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (- (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
5.0ms	x.re	@	-inf	((- (* (- (* 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.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (* (* x.im x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.re x.im)) x.im) (* -3 (* x.re x.im)) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (* (+ (* x.re x.re) (* x.im x.im)) x.re) (+ (* x.re x.re) (* x.im x.im)) (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (- (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
3.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (* (* x.im x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.re x.im)) x.im) (* -3 (* x.re x.im)) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (* (+ (* x.re x.re) (* x.im x.im)) x.re) (+ (* x.re x.re) (* x.im x.im)) (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (- (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
3.0ms	x.re	@	0	((- (* (- (* 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.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (* (* x.im x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.re x.im)) x.im) (* -3 (* x.re x.im)) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (* (+ (* x.re x.re) (* x.im x.im)) x.re) (+ (* x.re x.re) (* x.im x.im)) (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (- (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
3.0ms	x.im	@	inf	((- (* (- (* 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.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (* (* x.im x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* -3 (* x.re x.im)) x.im) (* -3 (* x.re x.im)) (* x.re x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (* (+ (* x.re x.re) (* x.im x.im)) x.re) (+ (* x.re x.re) (* x.im x.im)) (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (- (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify308.0ms (2.8%)

Memory

5.8MiB live, 85.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	305	1175
1	1030	953
2	3909	878
0	8303	840

Stop Event

1×	iter limit
1×	node limit

Counts

82 → 82

Calls

Call 1

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

rewrite65.0ms (0.6%)

Memory

24.9MiB live, 24.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	242
0	62	233
1	244	194
0	1997	189

Stop Event

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

Counts

18 → 275

Calls

Call 1

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

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

eval71.0ms (0.6%)

Memory: 5.8MiB live, 44.2MiB allocated
Compiler: Compiled 10 787 to 1 071 computations (90.1% saved)

prune89.0ms (0.8%)

Memory

-4.9MiB live, 30.5MiB allocated

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	332	8	340
Fresh	4	3	7
Picked	3	2	5
Done	0	0	0
Total	339	13	352

Accuracy

100.0%

Counts

352 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.3%	(-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
	93.4%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	50.1%	(-.f64 (.f64 (/.f64 (.f64 (-.f64 x.im x.re) (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))) (.f64 (-.f64 x.im x.re) (+.f64 x.im x.re))) (+.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	93.9%	(-.f64 (.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (-.f64 x.im x.re) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	59.1%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
✓	90.8%	#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))
	53.9%	#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)))
▶	58.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
	76.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
	58.3%	#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.re x.im) (*.f64 x.im #s(literal -3 binary64))))
✓	58.3%	#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) (*.f64 x.re x.im)) x.im))
▶	78.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64)) (.f64 x.im x.im))) x.re))
▶	59.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))

Compiler

Compiled 715 to 393 computations (45% saved)

simplify227.0ms (2.1%)

Memory

-14.7MiB live, 107.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (-.f64 x.re x.im) x.re)
cost-diff	0	(.f64 (.f64 (-.f64 x.re x.im) x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)))
cost-diff	7	(-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
cost-diff	8	(/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re))
cost-diff	0	(.f64 (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 (+ (* -3 (* x.im x.im)) (* x.re x.re)) (.f64 (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(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64)) (.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(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64)) (.f64 x.im x.im))) x.re))
cost-diff	0	(*.f64 #s(literal -3 binary64) x.re)
cost-diff	0	(.f64 (.f64 #s(literal -3 binary64) x.re) x.im)
cost-diff	0	(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re))
cost-diff	0	(.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.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 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	2	(.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (-.f64 x.im x.re) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))
cost-diff	7	(-.f64 (.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (-.f64 x.im x.re) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
cost-diff	8	(*.f64 (-.f64 x.im x.re) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	434
0	84	406
1	168	376
2	400	368
3	1632	348
4	3758	348
0	8260	337

Stop Event

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

Calls

Call 1

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

localize288.0ms (2.6%)

Memory

11.3MiB live, 134.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.142910009768442	(.f64 (.f64 (-.f64 x.re x.im) x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)))
accuracy	0.15625	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy	3.0820312500000004	(-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
accuracy	7.015663914827676	(/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re))
accuracy	0.0	#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64)) (.f64 x.im x.im)))
accuracy	0.11003876953688403	(fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))
accuracy	2.9063495046233663	(.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64)) (.f64 x.im x.im))) x.re)
accuracy	11.680792329578956	(.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64)) (.f64 x.im x.im))
accuracy	0.0	(*.f64 #s(literal -3 binary64) x.re)
accuracy	0.12890625	(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
accuracy	0.43106889689635997	(.f64 (.f64 #s(literal -3 binary64) x.re) x.im)
accuracy	26.60857764995904	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
accuracy	0.0	(*.f64 x.re x.re)
accuracy	0.0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
accuracy	2.9063495046233663	(.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)
accuracy	31.338651436725367	#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re))
accuracy	0.125	(.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
accuracy	0.13900375976844204	(*.f64 (-.f64 x.im x.re) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))
accuracy	0.15625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	3.0820312500000004	(-.f64 (.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (-.f64 x.im x.re) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

Samples

260.0ms

256×

valid

Compiler

Compiled 355 to 43 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 240.0ms

ival-mult: 201.0ms (83.7% of total)

ival-sub: 24.0ms (10% of total)

ival-add: 7.0ms (2.9% of total)

ival-pow: 4.0ms (1.7% of total)

ival-div: 3.0ms (1.2% of total)

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

exact: 0.0ms (0% of total)

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

series49.0ms (0.4%)

Memory

-24.6MiB live, 14.1MiB allocated

Counts

24 → 77

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	x.im	@	inf	((* (- x.im x.re) (pow (- x.im x.re) -1)) (- (* (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (- x.im x.re) (pow (- x.im x.re) -1))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (- x.im x.re) (pow (- x.im x.re) -1))) (+ (* x.re x.im) (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 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.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* (+ (* (/ x.re x.im) (/ x.re x.im)) -3) (* x.im x.im)) (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (- (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* (- x.re x.im) 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.re x.im)) -3) (* (* x.re (+ x.im x.im)) x.im))
4.0ms	x.re	@	inf	((* (- x.im x.re) (pow (- x.im x.re) -1)) (- (* (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (- x.im x.re) (pow (- x.im x.re) -1))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (- x.im x.re) (pow (- x.im x.re) -1))) (+ (* x.re x.im) (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 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.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* (+ (* (/ x.re x.im) (/ x.re x.im)) -3) (* x.im x.im)) (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (- (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* (- x.re x.im) 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.re x.im)) -3) (* (* x.re (+ x.im x.im)) x.im))
3.0ms	x.re	@	-inf	((* (- x.im x.re) (pow (- x.im x.re) -1)) (- (* (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (- x.im x.re) (pow (- x.im x.re) -1))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (- x.im x.re) (pow (- x.im x.re) -1))) (+ (* x.re x.im) (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 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.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* (+ (* (/ x.re x.im) (/ x.re x.im)) -3) (* x.im x.im)) (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (- (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* (- x.re x.im) 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.re x.im)) -3) (* (* x.re (+ x.im x.im)) x.im))
3.0ms	x.re	@	0	((* (- x.im x.re) (pow (- x.im x.re) -1)) (- (* (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (- x.im x.re) (pow (- x.im x.re) -1))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (- x.im x.re) (pow (- x.im x.re) -1))) (+ (* x.re x.im) (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 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.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* (+ (* (/ x.re x.im) (/ x.re x.im)) -3) (* x.im x.im)) (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (- (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* (- x.re x.im) 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.re x.im)) -3) (* (* x.re (+ x.im x.im)) x.im))
3.0ms	x.im	@	-inf	((* (- x.im x.re) (pow (- x.im x.re) -1)) (- (* (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (- x.im x.re) (pow (- x.im x.re) -1))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.re (+ x.im x.re)) (- x.re x.im)) (* (- x.im x.re) (pow (- x.im x.re) -1))) (+ (* x.re x.im) (* x.im x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 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.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* (+ (* (/ x.re x.im) (/ x.re x.im)) -3) (* x.im x.im)) (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (- (/ (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (* (- x.re x.im) x.re) (* (+ x.re x.im) (- x.im x.re))) (* (- x.re x.im) 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.re x.im)) -3) (* (* x.re (+ x.im x.im)) x.im))

simplify199.0ms (1.8%)

Memory

22.6MiB live, 100.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	1220
1	977	957
2	3758	800
0	8165	771

Stop Event

1×	iter limit
1×	node limit

Counts

77 → 77

Calls

Call 1

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

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

rewrite544.0ms (4.9%)

Memory

2.1MiB live, 276.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	367
0	84	330
1	316	276
2	2483	276
0	9420	265

Stop Event

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

Counts

24 → 2 601

Calls

Call 1

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

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

eval407.0ms (3.7%)

Memory: -13.7MiB live, 220.5MiB allocated
Compiler: Compiled 53 715 to 3 898 computations (92.7% saved)

prune60.0ms (0.5%)

Memory

10.6MiB live, 89.6MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	1 321	5	1 326
Fresh	1	5	6
Picked	2	3	5
Done	1	1	2
Total	1 325	14	1 339

Accuracy

100.0%

Counts

1 339 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.6%	(fma.f64 (/.f64 (.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (-.f64 x.im x.re)) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (+.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im))
✓	83.3%	(-.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
	93.4%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	50.1%	(-.f64 (.f64 (/.f64 (.f64 (-.f64 x.im x.re) (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))) (.f64 (-.f64 x.im x.re) (+.f64 x.im x.re))) (+.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	93.5%	(-.f64 (.f64 (.f64 (.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (.f64 (-.f64 x.im x.re) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))) (.f64 (.f64 x.im (+.f64 x.re x.re)) x.im))
	59.1%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
✓	90.8%	#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))
✓	58.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
	76.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
	58.3%	#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.re x.im) (*.f64 x.im #s(literal -3 binary64))))
	53.9%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) x.re))
	41.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 #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))) x.re))
✓	59.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
	58.2%	#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.re x.im) x.im)))

Compiler

Compiled 1 426 to 408 computations (71.4% saved)

regimes45.0ms (0.4%)

Memory

11.1MiB live, 50.1MiB allocated

Counts

35 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

24.0ms	x.im
10.0ms	x.re
9.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
98.2%	2	`x.re`
97.4%	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)

regimes52.0ms (0.5%)

Memory

-22.5MiB live, 20.3MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

46.0ms	x.re
5.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
98.2%	2	`x.re`
97.4%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes11.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

5.0ms	x.re
5.0ms	x.im

Results

Accuracy	Segments	Branch
97.4%	2	`x.im`
96.7%	3	`x.re`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.3%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
83.9%	2	`x.im`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes3.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
97.3%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes58.0ms (0.5%)

Memory

-35.7MiB live, 3.9MiB allocated

Counts

6 → 2

Calls

Call 1

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

Calls

1 calls:

58.0ms

(-.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
97.3%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes4.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

Calls

2 calls:

2.0ms	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
78.8%	2	`x.re`
92.9%	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)

regimes5.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
59.0%	1	`x.re`
59.0%	1	`x.im`
59.0%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes4.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	x.im
1.0ms	x.re
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
23.9%	1	`x.re`
23.9%	1	`x.im`
23.9%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch16.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	7.489005140481403e+191	1.0225071405100184e+195

Samples

9.0ms

128×

valid

Compiler

Compiled 454 to 264 computations (41.9% saved)

Precisions

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

ival-mult: 4.0ms (65.3% of total)

ival-sub: 1.0ms (16.3% of total)

ival-add: 1.0ms (16.3% of total)

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

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

bsearch52.0ms (0.5%)

Memory

-11.6MiB live, 28.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
49.0ms	5.7213063410664e+150	1.3810941992721734e+163

Samples

43.0ms

160×

valid

Compiler

Compiled 592 to 366 computations (38.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 37.0ms (93.6% of total)

ival-sub: 1.0ms (2.5% of total)

ival-add: 1.0ms (2.5% of total)

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

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.5289e-319	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.5289e-319	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.5289e-319	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.5289e-319	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify176.0ms (1.6%)

Memory

-8.3MiB live, 71.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	76	586
1	128	572
2	248	572
3	759	516
4	1879	512
5	4330	512
6	6337	512

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (-.f64 (.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.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(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64)) (.f64 x.im x.im))) x.re)))
(if (<=.f64 x.re #s(literal 43999999999999997240844769233238740253402401049580059422699928757915531897637650108110275036087413001164879160469538543431507718267627558443309423874511899226704871508354653466308763393611268096 binary64)) (-.f64 (.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.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(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 x.im #s(literal 7599999999999999328119294520504658130645275195715139955456507419552885208949053023837022247383184266754214941258116175356243802780471046127522059602886656 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 (*.f64 #s(literal -3 binary64) x.re) 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 -1265/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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.re x.im) (.f64 x.im #s(literal -3 binary64)))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -1265/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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.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(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -1265/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -1265/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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.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(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.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 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (.f64 x.im x.im) x.re))

Outputs
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (-.f64 (.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.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(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64)) (.f64 x.im x.im))) x.re)))
(if (<=.f64 x.re #s(literal 43999999999999997240844769233238740253402401049580059422699928757915531897637650108110275036087413001164879160469538543431507718267627558443309423874511899226704871508354653466308763393611268096 binary64)) (-.f64 (.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.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(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 x.im #s(literal 7599999999999999328119294520504658130645275195715139955456507419552885208949053023837022247383184266754214941258116175356243802780471046127522059602886656 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 (*.f64 #s(literal -3 binary64) x.re) 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 -1265/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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.re x.im) (.f64 x.im #s(literal -3 binary64)))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -1265/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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.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(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -1265/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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)) (.f64 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -1265/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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.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(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.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 #s(approx (+ ( -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (neg (* x.im x.re)) (neg (* x.im x.re))) x.im)) (.f64 (.f64 x.im x.im) x.re))

soundness768.0ms (7%)

Memory

5.6MiB live, 605.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
0	20	51
1	83	39
0	576	38
0	41	236
0	65	225
1	240	194
0	1588	189
0	41	242
0	62	233
1	244	194
0	1997	189
0	305	1175
1	1030	953
2	3909	878
0	8303	840
0	193	925
1	635	696
2	2161	600
3	6800	600
0	8201	575
0	56	190
1	169	170
2	543	170
3	2202	170
4	6104	170
0	8203	165

Stop Event

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

Compiler

Compiled 1 008 to 352 computations (65.1% saved)

preprocess95.0ms (0.9%)

Memory

-1.4MiB live, 116.7MiB allocated

Remove

(negabs x.re)

(abs x.im)

Compiler

Compiled 1 616 to 350 computations (78.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample5.1s (46%)

explain174.0ms (1.6%)

preprocess359.0ms (3.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify207.0ms (1.9%)

localize36.0ms (0.3%)

series14.0ms (0.1%)

simplify143.0ms (1.3%)

rewrite41.0ms (0.4%)

eval83.0ms (0.7%)

prune7.0ms (0.1%)

simplify168.0ms (1.5%)

localize100.0ms (0.9%)

series91.0ms (0.8%)

simplify192.0ms (1.7%)

rewrite166.0ms (1.5%)

eval51.0ms (0.5%)

prune27.0ms (0.2%)

simplify235.0ms (2.1%)

localize218.0ms (2%)

series51.0ms (0.5%)

simplify308.0ms (2.8%)

rewrite65.0ms (0.6%)

eval71.0ms (0.6%)

prune89.0ms (0.8%)

simplify227.0ms (2.1%)

localize288.0ms (2.6%)

series49.0ms (0.4%)

simplify199.0ms (1.8%)

rewrite544.0ms (4.9%)

eval407.0ms (3.7%)

prune60.0ms (0.5%)

regimes45.0ms (0.4%)

regimes52.0ms (0.5%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes58.0ms (0.5%)

regimes4.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch16.0ms (0.1%)

bsearch52.0ms (0.5%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify176.0ms (1.6%)

soundness768.0ms (7%)

preprocess95.0ms (0.9%)

end0.0ms (0%)

Profiling