Metrics for math.cube on complex, real part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

sample1.5s (22.8%)

Memory

49.8MiB live, 1 798.3MiB allocated; 385ms collecting garbage

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 781.0ms

ival-mult: 629.0ms (80.5% of total)

ival-sub: 106.0ms (13.6% of total)

ival-add: 35.0ms (4.5% of total)

ival-true: 5.0ms (0.6% of total)

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

adjust: 2.0ms (0.3% of total)

Bogosity

explain221.0ms (3.3%)

Memory

21.6MiB live, 445.3MiB allocated; 42ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
22	-	-	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
16	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
13	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.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	22	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	111
↳	`(*.f64 x.re x.re)`	overflow	67
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	112
↳	`(*.f64 x.im x.im)`	overflow	61
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	65
↳	`(*.f64 x.im x.re)`	overflow	31
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	33
↳	`(*.f64 x.re x.im)`	overflow	31
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	16	0
↳	`(*.f64 x.re x.re)`	overflow	67
↳	`(*.f64 x.im x.im)`	overflow	61
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	13	0

Confusion

	Predicted +	Predicted -
+	45	0
-	0	211

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	45	0	0
-	0	0	211

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	211
1	39
2	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

70.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 29.0ms (77.3% of total)

ival-sub: 5.0ms (13.3% of total)

ival-add: 3.0ms (8% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess204.0ms (3.1%)

Memory

-13.1MiB live, 212.8MiB allocated; 52ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	103
1	105	87
2	385	85
3	1115	56
4	3886	55
0	11	19
0	20	19
1	43	17
2	140	17
3	482	14
4	1368	11
5	4473	11
0	8270	11

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.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 (*.f64 #s(literal 3 binary64) (*.f64 (neg.f64 x.re) x.im)) 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; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.6%	(-.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)

simplify248.0ms (3.7%)

Memory

18.2MiB live, 309.9MiB allocated; 64ms collecting garbage

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	6	(-.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: 4 (0.0ms)

Iter	Nodes	Cost
0	11	65
0	20	65
1	43	59
2	140	59
3	482	56
4	1368	53
5	4473	53
0	8270	53

Stop Event

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

Calls

Call 1

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

localize33.0ms (0.5%)

Memory

0.9MiB live, 88.0MiB allocated; 10ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	3.088193040382486	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy	3.6991981083020584	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	4.500000000000001	(-.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

25.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 11.0ms (74.2% of total)

ival-sub: 2.0ms (13.5% of total)

ival-add: 1.0ms (6.7% of total)

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

adjust: 0.0ms (0% of total)

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

series35.0ms (0.5%)

Memory

-39.0MiB live, 25.8MiB allocated; 10ms collecting garbage

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
25.0ms	x.im	@	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))
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))

simplify176.0ms (2.7%)

Memory

12.2MiB live, 281.2MiB allocated; 50ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	237
1	172	217
2	610	208
3	3532	208
0	8354	202

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

rewrite50.0ms (0.7%)

Memory

25.4MiB live, 69.1MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
0	20	51
1	88	39
0	679	38

Stop Event

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

Counts

5 → 115

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

eval74.0ms (1.1%)

Memory: -31.8MiB live, 76.6MiB allocated; 32ms collecting garbage
Compiler: Compiled 3 247 to 479 computations (85.2% saved)

prune6.0ms (0.1%)

Memory

28.7MiB live, 28.7MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	125	8	133
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	126	8	134

Accuracy

100.0%

Counts

134 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.5%	(-.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))
▶	91.2%	(-.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))
	86.5%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	54.7%	(-.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))
	55.7%	#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)))
	88.9%	#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))
▶	77.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
▶	59.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))

Compiler

Compiled 404 to 234 computations (42.1% saved)

simplify157.0ms (2.4%)

Memory

13.9MiB live, 247.9MiB allocated; 35ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
cost-diff	0	(/.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)))
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	3	(-.f64 (/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.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))
cost-diff	0	(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))
cost-diff	0	(*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)))
cost-diff	0	(.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))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im 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	5	(-.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	45	366
0	73	366
1	132	344
2	334	344
3	1090	331
4	4599	328
0	8136	323

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

localize144.0ms (2.2%)

Memory

-6.6MiB live, 185.1MiB allocated; 46ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.1283298342492003	(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
accuracy	4.500000000000001	(-.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))
accuracy	7.8359024091134994	(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
accuracy	34.660680805130355	(/.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)))
accuracy	0.12890625	(/.f64 (/.f64 x.re x.im) x.im)
accuracy	0.5773364172710411	(*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)))
accuracy	1.448815746573593	(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))
accuracy	11.714609804403448	(.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))
accuracy	0.1328125	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	3.088193040382486	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re)
accuracy	4.500000000000001	(-.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	28.044616078193854	#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	0.1328125	(.f64 (.f64 x.im x.re) x.im)
accuracy	0.19140625	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im))
accuracy	25.90250452005256	#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	0.01171875	(*.f64 (-.f64 x.re x.im) x.re)
accuracy	0.109375	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re))
accuracy	0.1328125	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	4.500000000000001	(-.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

84.0ms	237×	0	valid
7.0ms	8×	3	valid
3.0ms	3×	4	valid
3.0ms	4×	2	valid
2.0ms	4×	1	valid

Compiler

Compiled 336 to 37 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 22.0ms (42% of total)

ival-sub: 7.0ms (13.4% of total)

adjust: 6.0ms (11.5% of total)

ival-div: 5.0ms (9.5% of total)

ival-add: 5.0ms (9.5% of total)

ival-pow: 5.0ms (9.5% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series49.0ms (0.7%)

Memory

-34.8MiB live, 66.1MiB allocated; 24ms collecting garbage

Counts

22 → 92

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

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

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	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) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (- x.re x.im) x.re) (/ (/ x.re x.im) x.im) (- (pow x.re 4) (pow x.im 4)))
11.0ms	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) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (- x.re x.im) x.re) (/ (/ x.re x.im) x.im) (- (pow x.re 4) (pow x.im 4)))
8.0ms	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) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (- x.re x.im) x.re) (/ (/ x.re x.im) x.im) (- (pow x.re 4) (pow x.im 4)))
6.0ms	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) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (- x.re x.im) x.re) (/ (/ x.re x.im) x.im) (- (pow x.re 4) (pow x.im 4)))
4.0ms	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) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (* (- x.re x.im) x.re) (/ (/ x.re x.im) x.im) (- (pow x.re 4) (pow x.im 4)))

simplify262.0ms (3.9%)

Memory

15.0MiB live, 260.1MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	234	1137
1	778	906
2	2852	831
0	8408	810

Stop Event

1×	iter limit
1×	node limit

Counts

92 → 90

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

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

rewrite228.0ms (3.4%)

Memory

4.8MiB live, 276.9MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	273
0	73	259
1	278	231
2	1886	227
0	9093	222

Stop Event

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

Counts

22 → 877

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

Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 2 binary64)) (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))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)) (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))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 2 binary64)) (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))) (/.f64 (pow.f64 (.f64 (.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 2 binary64)) (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 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)) (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))) (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)) (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))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 2 binary64)) (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))) (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)) (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)))))))
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(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 2 binary64)) (fma.f64 (.f64 (neg.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 (neg.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 (.f64 (.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) (*.f64 (neg.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (fma.f64 (pow.f64 x.im #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (.f64 (.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (.f64 x.re (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (neg.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 (neg.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (.f64 (.f64 (.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) (.f64 (neg.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (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)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (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)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (+.f64 x.re 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 (neg.f64 (fma.f64 (.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)) (pow.f64 (.f64 (.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 2 binary64)) (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))) (.f64 (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)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)))) (pow.f64 (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)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 (+.f64 x.re 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 (+.f64 x.re 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 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 2 binary64)))) (.f64 (fma.f64 (.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)) (pow.f64 (.f64 (.f64 (+.f64 x.re 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 3 binary64)))) (.f64 (fma.f64 (.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)) (pow.f64 (.f64 (.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 2 binary64))) (fma.f64 (.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)) (pow.f64 (.f64 (.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 2 binary64)))))
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(-.f64 (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im)))

eval84.0ms (1.3%)

Memory: -5.7MiB live, 188.5MiB allocated; 21ms collecting garbage
Compiler: Compiled 33 374 to 2 660 computations (92% saved)

prune38.0ms (0.6%)

Memory

9.4MiB live, 66.2MiB allocated; 6ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	822	12	834
Fresh	2	1	3
Picked	4	1	5
Done	0	0	0
Total	828	14	842

Accuracy

100.0%

Counts

842 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.1%	(-.f64 (.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	55.2%	(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (fma.f64 (neg.f64 x.im) x.re (.f64 (neg.f64 x.im) x.re)) x.im))
▶	91.2%	(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
	88.2%	(-.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.re) (.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	86.5%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	88.9%	#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re 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))
	55.7%	#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)))
	63.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 9 binary64)) x.re) (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))) (*.f64 x.im x.im)))
▶	59.4%	#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))
	70.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64))) (.f64 x.im x.im)))
	54.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im x.im)))
	59.4%	#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))))
✓	59.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
▶	54.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))

Compiler

Compiled 753 to 432 computations (42.6% saved)

simplify180.0ms (2.7%)

Memory

-20.6MiB live, 200.4MiB allocated; 46ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	283
0	66	258
1	133	248
2	390	248
3	1733	228
4	4752	228
0	8008	223

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

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

localize88.0ms (1.3%)

Memory

2.5MiB live, 142.7MiB allocated; 10ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.109375	(.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.re))
accuracy	0.1328125	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	0.2421875	(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im)
accuracy	4.500000000000001	(-.f64 (.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy	0.0078125	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
accuracy	0.1328125	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	3.088193040382486	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
accuracy	4.500000000000001	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy	0.0	(*.f64 #s(literal -3 binary64) x.re)
accuracy	0.1484375	(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
accuracy	0.19140625	(.f64 (.f64 #s(literal -3 binary64) x.re) x.im)
accuracy	25.90250452005256	#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.im x.im)
accuracy	0.19140625	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
accuracy	5.790746994779498	(.f64 (.f64 x.im x.im) x.re)
accuracy	25.90250452005256	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))
accuracy	0.01171875	(*.f64 (-.f64 x.re x.im) x.re)
accuracy	0.109375	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re))
accuracy	0.1328125	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy	4.500000000000001	(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))

Samples

66.0ms

256×

valid

Compiler

Compiled 272 to 36 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 31.0ms (64.9% of total)

ival-sub: 8.0ms (16.7% of total)

ival-add: 7.0ms (14.7% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series25.0ms (0.4%)

Memory

-37.2MiB live, 14.7MiB allocated; 5ms collecting garbage

Counts

21 → 69

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x.re	@	-inf	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 x.re) (- (* (* (- x.re 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.im)) x.re) (* (- x.re x.im) (+ x.re x.im)) (- (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.re	@	inf	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 x.re) (- (* (* (- x.re 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.im)) x.re) (* (- x.re x.im) (+ x.re x.im)) (- (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.im	@	-inf	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 x.re) (- (* (* (- x.re 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.im)) x.re) (* (- x.re x.im) (+ x.re x.im)) (- (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.re	@	0	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 x.re) (- (* (* (- x.re 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.im)) x.re) (* (- x.re x.im) (+ x.re x.im)) (- (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.im	@	inf	((- (* (+ x.im x.re) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im)) (* (+ x.im x.re) (* (- x.re x.im) x.re)) (+ x.im x.re) (* (- x.re x.im) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 x.re) (- (* (* (- x.re 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.im)) x.re) (* (- x.re x.im) (+ x.re x.im)) (- (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.re)) (* (* x.re (+ x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify158.0ms (2.4%)

Memory

16.0MiB live, 149.1MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	806
1	775	592
2	3193	534
0	8233	516

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 67

Calls

Call 1

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

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

rewrite274.0ms (4.1%)

Memory

-1.7MiB live, 188.2MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	216
0	66	197
1	254	165
2	1552	149
0	10665	144

Stop Event

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

Counts

21 → 2 370

Calls

Call 1

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

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

eval172.0ms (2.6%)

Memory: 30.6MiB live, 127.3MiB allocated; 12ms collecting garbage
Compiler: Compiled 45 527 to 3 525 computations (92.3% saved)

prune98.0ms (1.5%)

Memory

-16.3MiB live, 73.7MiB allocated; 8ms collecting garbage

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	1 131	8	1 139
Fresh	3	5	8
Picked	2	3	5
Done	0	1	1
Total	1 136	17	1 153

Accuracy

100.0%

Counts

1 153 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.4%	(-.f64 (.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.re)) (*.f64 #s(literal 0 binary64) x.im))
✓	91.2%	(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im))
▶	91.1%	(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (.f64 (-.f64 x.re x.im) (sqrt.f64 x.re)) (sqrt.f64 x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
	88.2%	(-.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.re) (.f64 (fma.f64 (/.f64 x.re x.im) x.re (neg.f64 x.re)) x.im))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
	86.5%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.re x.im))) x.im))
▶	76.0%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (*.f64 #s(literal 0 binary64) x.im))
	88.9%	#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re 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))
	55.7%	#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)))
	59.3%	#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 x.re x.im) #s(literal -3 binary64)) x.im))
▶	54.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
	59.4%	#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 #s(literal -3 binary64)) x.re) x.im))
✓	59.4%	#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))
	70.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64))) (.f64 x.im x.im)))
	54.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im x.im)))
▶	59.4%	#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))))
✓	59.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
✓	54.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))

Compiler

Compiled 782 to 460 computations (41.2% saved)

simplify217.0ms (3.3%)

Memory

9.5MiB live, 114.9MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	253
0	66	216
1	142	210
2	383	210
3	1579	198
4	4917	198
0	8313	195

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (.f64 (-.f64 x.re x.im) (sqrt.f64 x.re)) (sqrt.f64 x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(.f64 (+.f64 x.im x.re) (.f64 (*.f64 (-.f64 x.re x.im) (sqrt.f64 x.re)) (sqrt.f64 x.re)))
(+.f64 x.im x.re)
x.im
x.re
(.f64 (.f64 (-.f64 x.re x.im) (sqrt.f64 x.re)) (sqrt.f64 x.re))
(*.f64 (-.f64 x.re x.im) (sqrt.f64 x.re))
(-.f64 x.re x.im)
(sqrt.f64 x.re)
(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
(*.f64 x.re (+.f64 x.im x.im))
(+.f64 x.im x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))
(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 x.re x.im)
x.re
x.im
(*.f64 x.im #s(literal -3 binary64))
#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 x.im x.im) #s(literal -3 binary64)) x.re))
(.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
(*.f64 x.im x.im)
x.im
#s(literal -3 binary64)
x.re
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (*.f64 #s(literal 0 binary64) x.im))
(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(-.f64 x.re x.im)
x.re
x.im
(+.f64 x.re x.im)
(*.f64 #s(literal 0 binary64) x.im)
#s(literal 0 binary64)
(-.f64 (.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.re)) (*.f64 #s(literal 0 binary64) x.im))
(.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.re))
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im)
(sqrt.f64 x.re)
x.re
x.im
(*.f64 (-.f64 x.re x.im) x.re)
(-.f64 x.re x.im)
(*.f64 #s(literal 0 binary64) x.im)
#s(literal 0 binary64)

Outputs
(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (.f64 (-.f64 x.re x.im) (sqrt.f64 x.re)) (sqrt.f64 x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(.f64 (fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(.f64 (+.f64 x.im x.re) (.f64 (*.f64 (-.f64 x.re x.im) (sqrt.f64 x.re)) (sqrt.f64 x.re)))
(.f64 (.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im))
(+.f64 x.im x.re)
(+.f64 x.re x.im)
x.im
x.re
(.f64 (.f64 (-.f64 x.re x.im) (sqrt.f64 x.re)) (sqrt.f64 x.re))
(*.f64 (-.f64 x.re x.im) x.re)
(*.f64 (-.f64 x.re x.im) (sqrt.f64 x.re))
(*.f64 (sqrt.f64 x.re) (-.f64 x.re x.im))
(-.f64 x.re x.im)
(sqrt.f64 x.re)
(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
(.f64 (.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.im)
(*.f64 x.re (+.f64 x.im x.im))
(.f64 (.f64 #s(literal 2 binary64) x.im) x.re)
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.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))
(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(*.f64 x.re x.im)
x.re
x.im
(*.f64 x.im #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) 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 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 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
(.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
(*.f64 x.im x.im)
x.im
#s(literal -3 binary64)
x.re
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (*.f64 #s(literal 0 binary64) x.im))
(.f64 (.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im))
(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
(.f64 (.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(-.f64 x.re x.im)
x.re
x.im
(+.f64 x.re x.im)
(*.f64 #s(literal 0 binary64) x.im)
#s(literal 0 binary64)
#s(literal 0 binary64)
(-.f64 (.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.re)) (*.f64 #s(literal 0 binary64) x.im))
(.f64 (.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im))
(.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.re))
(.f64 (.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im))
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im)
(+.f64 x.re x.im)
(sqrt.f64 x.re)
x.re
x.im
(*.f64 (-.f64 x.re x.im) x.re)
(-.f64 x.re x.im)
(*.f64 #s(literal 0 binary64) x.im)
#s(literal 0 binary64)
#s(literal 0 binary64)

localize113.0ms (1.7%)

Memory

17.3MiB live, 64.0MiB allocated; 2ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 x.re)
accuracy	0.01171875	(*.f64 (-.f64 x.re x.im) x.re)
accuracy	0.109375	(.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.re))
accuracy	0.2421875	(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im)
accuracy	0.0	(+.f64 x.re x.im)
accuracy	0.0	(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
accuracy	0.0	(*.f64 #s(literal 0 binary64) x.im)
accuracy	3.088193040382486	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
accuracy	0.0	(*.f64 x.im x.im)
accuracy	0.1484375	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
accuracy	5.800316946074203	(.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
accuracy	25.90250452005256	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
accuracy	0.0	(*.f64 x.re x.im)
accuracy	0.0	(*.f64 x.im #s(literal -3 binary64))
accuracy	0.193691259768442	(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
accuracy	25.90250452005256	#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))))
accuracy	0.1328125	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy	0.197597509768442	(.f64 (.f64 (-.f64 x.re x.im) (sqrt.f64 x.re)) (sqrt.f64 x.re))
accuracy	0.19921875	(*.f64 (-.f64 x.re x.im) (sqrt.f64 x.re))
accuracy	4.500000000000001	(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (.f64 (-.f64 x.re x.im) (sqrt.f64 x.re)) (sqrt.f64 x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))

Samples

91.0ms

256×

valid

Compiler

Compiled 242 to 39 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 59.0ms (80.5% of total)

ival-sub: 6.0ms (8.2% of total)

ival-add: 6.0ms (8.2% of total)

ival-sqrt: 2.0ms (2.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series54.0ms (0.8%)

Memory

-30.1MiB live, 17.0MiB allocated; 2ms collecting garbage

Counts

24 → 82

Calls

Call 1

Inputs
(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (.f64 (-.f64 x.re x.im) (sqrt.f64 x.re)) (sqrt.f64 x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(.f64 (.f64 (-.f64 x.re x.im) (sqrt.f64 x.re)) (sqrt.f64 x.re))
(.f64 (+.f64 x.im x.re) (.f64 (*.f64 (-.f64 x.re x.im) (sqrt.f64 x.re)) (sqrt.f64 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 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))
(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
(*.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 x.im x.im) #s(literal -3 binary64)) x.re))
(.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
(*.f64 x.im x.im)
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (*.f64 #s(literal 0 binary64) x.im))
(*.f64 #s(literal 0 binary64) x.im)
(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im)
(-.f64 (.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.re)) (*.f64 #s(literal 0 binary64) x.im))
(.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.re))
(*.f64 (-.f64 x.re x.im) (sqrt.f64 x.re))
(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
(+.f64 x.re x.im)
(*.f64 (-.f64 x.re x.im) x.re)
(sqrt.f64 x.re)

Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(* -1 (* x.im x.re))
(* x.re (+ x.re (* -1 x.im)))
(* -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))
(* x.im x.re)
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))
(+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))
(* -1 (* x.im (sqrt x.re)))
(+ (sqrt (pow x.re 3)) (* -1 (* x.im (sqrt x.re))))
(* 2 (* (pow x.im 2) x.re))
(sqrt 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 2)
(* (pow x.re 2) (+ 1 (* -1 (/ 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)))))
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 2) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(sqrt (pow x.re 3))
(* (pow x.re 2) (+ (sqrt (/ 1 x.re)) (* -1 (* x.im (sqrt (/ 1 (pow x.re 3)))))))
(* -1 (* (pow x.re 3) (pow (sqrt -1) 2)))
(* -1 (* (pow x.re 3) (+ (/ (* (pow (sqrt -1) 2) (+ x.im (* -1 x.im))) x.re) (pow (sqrt -1) 2))))
(* -1 (* (pow x.re 3) (+ (* -1 (/ (+ (* -1 (* (pow (sqrt -1) 2) (+ x.im (* -1 x.im)))) (* -1 (/ (- (* -1 (* (pow x.im 2) (pow (sqrt -1) 2))) (* -2 (pow x.im 2))) x.re))) x.re)) (pow (sqrt -1) 2))))
(* -1 (* (pow x.re 2) (pow (sqrt -1) 2)))
(* (pow x.re 2) (+ (* -1 (pow (sqrt -1) 2)) (/ (* x.im (pow (sqrt -1) 2)) x.re)))
(* -1 (* (pow x.re 3) (+ (* -1 (/ (+ (* -1 (* (pow (sqrt -1) 2) (+ x.im (* -1 x.im)))) (/ (* (pow x.im 2) (pow (sqrt -1) 2)) x.re)) x.re)) (pow (sqrt -1) 2))))
(* -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) (- (* -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)))
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (/ (pow x.im 2) x.re)) x.re))))
(* -1 (* x.re (pow (sqrt -1) 2)))
(* -1 (* x.re (+ (* -1 (/ x.im x.re)) (pow (sqrt -1) 2))))
(* -1 (* (pow x.re 3) (+ (* -1 (/ (+ x.im (* x.im (pow (sqrt -1) 2))) x.re)) (pow (sqrt -1) 2))))
(* -1 (* (pow x.re 3) (+ (* -1 (/ (+ x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* x.im (pow (sqrt -1) 2)))) x.re)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt (pow x.re 3)) (pow (sqrt -1) 2)))
(* (pow x.re 2) (+ (* -1 (* (sqrt (/ 1 x.re)) (pow (sqrt -1) 2))) (* (* x.im (pow (sqrt -1) 2)) (sqrt (/ 1 (pow x.re 3))))))
(* -1 (* (sqrt x.re) (pow (sqrt -1) 2)))
(+ (* 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))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(* -3 x.im)
(* -3 (pow x.im 2))
(pow x.im 2)
0
(+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))
(+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* 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 x.im)) (/ x.re x.im)) 1))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* x.im (+ (* -1 (sqrt x.re)) (* (/ 1 x.im) (sqrt (pow x.re 3)))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(* (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)))
(* (pow x.im 2) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))
(* (pow x.im 2) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))) x.im)) 1))
(* -1 (* x.im (+ (sqrt x.re) (* -1 (* (/ 1 x.im) (sqrt (pow x.re 3)))))))

Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	x.re	@	-inf	((- (* (+ x.im x.re) (* (* (- x.re x.im) (sqrt x.re)) (sqrt x.re))) (* (* x.re (+ x.im x.im)) x.im)) (* (* (- x.re x.im) (sqrt x.re)) (sqrt x.re)) (* (+ x.im x.re) (* (* (- x.re x.im) (sqrt x.re)) (sqrt 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)) (* (* x.re x.im) (* x.im -3)) (* x.re x.im) (* x.im -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (* x.im x.im) (- (* (* (- x.re x.im) (+ x.re x.im)) x.re) (* 0 x.im)) (* 0 x.im) (* (* (- x.re x.im) (+ x.re x.im)) x.re) (* (- x.re x.im) (+ x.re x.im)) (+ (* (sqrt x.re) (sqrt x.re)) x.im) (- (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.re)) (* 0 x.im)) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.re)) (* (- x.re x.im) (sqrt x.re)) (* (* x.re (+ x.im x.im)) x.im) (+ x.re x.im) (* (- x.re x.im) x.re) (sqrt x.re))
2.0ms	x.im	@	-inf	((- (* (+ x.im x.re) (* (* (- x.re x.im) (sqrt x.re)) (sqrt x.re))) (* (* x.re (+ x.im x.im)) x.im)) (* (* (- x.re x.im) (sqrt x.re)) (sqrt x.re)) (* (+ x.im x.re) (* (* (- x.re x.im) (sqrt x.re)) (sqrt 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)) (* (* x.re x.im) (* x.im -3)) (* x.re x.im) (* x.im -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (* x.im x.im) (- (* (* (- x.re x.im) (+ x.re x.im)) x.re) (* 0 x.im)) (* 0 x.im) (* (* (- x.re x.im) (+ x.re x.im)) x.re) (* (- x.re x.im) (+ x.re x.im)) (+ (* (sqrt x.re) (sqrt x.re)) x.im) (- (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.re)) (* 0 x.im)) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.re)) (* (- x.re x.im) (sqrt x.re)) (* (* x.re (+ x.im x.im)) x.im) (+ x.re x.im) (* (- x.re x.im) x.re) (sqrt x.re))
2.0ms	x.im	@	inf	((- (* (+ x.im x.re) (* (* (- x.re x.im) (sqrt x.re)) (sqrt x.re))) (* (* x.re (+ x.im x.im)) x.im)) (* (* (- x.re x.im) (sqrt x.re)) (sqrt x.re)) (* (+ x.im x.re) (* (* (- x.re x.im) (sqrt x.re)) (sqrt 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)) (* (* x.re x.im) (* x.im -3)) (* x.re x.im) (* x.im -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (* x.im x.im) (- (* (* (- x.re x.im) (+ x.re x.im)) x.re) (* 0 x.im)) (* 0 x.im) (* (* (- x.re x.im) (+ x.re x.im)) x.re) (* (- x.re x.im) (+ x.re x.im)) (+ (* (sqrt x.re) (sqrt x.re)) x.im) (- (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.re)) (* 0 x.im)) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.re)) (* (- x.re x.im) (sqrt x.re)) (* (* x.re (+ x.im x.im)) x.im) (+ x.re x.im) (* (- x.re x.im) x.re) (sqrt x.re))
2.0ms	x.re	@	inf	((- (* (+ x.im x.re) (* (* (- x.re x.im) (sqrt x.re)) (sqrt x.re))) (* (* x.re (+ x.im x.im)) x.im)) (* (* (- x.re x.im) (sqrt x.re)) (sqrt x.re)) (* (+ x.im x.re) (* (* (- x.re x.im) (sqrt x.re)) (sqrt 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)) (* (* x.re x.im) (* x.im -3)) (* x.re x.im) (* x.im -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (* x.im x.im) (- (* (* (- x.re x.im) (+ x.re x.im)) x.re) (* 0 x.im)) (* 0 x.im) (* (* (- x.re x.im) (+ x.re x.im)) x.re) (* (- x.re x.im) (+ x.re x.im)) (+ (* (sqrt x.re) (sqrt x.re)) x.im) (- (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.re)) (* 0 x.im)) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.re)) (* (- x.re x.im) (sqrt x.re)) (* (* x.re (+ x.im x.im)) x.im) (+ x.re x.im) (* (- x.re x.im) x.re) (sqrt x.re))
2.0ms	x.re	@	0	((- (* (+ x.im x.re) (* (* (- x.re x.im) (sqrt x.re)) (sqrt x.re))) (* (* x.re (+ x.im x.im)) x.im)) (* (* (- x.re x.im) (sqrt x.re)) (sqrt x.re)) (* (+ x.im x.re) (* (* (- x.re x.im) (sqrt x.re)) (sqrt 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)) (* (* x.re x.im) (* x.im -3)) (* x.re x.im) (* x.im -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) (* x.im x.im) (- (* (* (- x.re x.im) (+ x.re x.im)) x.re) (* 0 x.im)) (* 0 x.im) (* (* (- x.re x.im) (+ x.re x.im)) x.re) (* (- x.re x.im) (+ x.re x.im)) (+ (* (sqrt x.re) (sqrt x.re)) x.im) (- (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.re)) (* 0 x.im)) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.re)) (* (- x.re x.im) (sqrt x.re)) (* (* x.re (+ x.im x.im)) x.im) (+ x.re x.im) (* (- x.re x.im) x.re) (sqrt x.re))

simplify182.0ms (2.7%)

Memory

-9.1MiB live, 89.4MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	264	889
1	934	669
2	3972	619
0	8387	602

Stop Event

1×	iter limit
1×	node limit

Counts

82 → 80

Calls

Call 1

Inputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(* -1 (* x.im x.re))
(* x.re (+ x.re (* -1 x.im)))
(* -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))
(* x.im x.re)
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))
(+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))
(* -1 (* x.im (sqrt x.re)))
(+ (sqrt (pow x.re 3)) (* -1 (* x.im (sqrt x.re))))
(* 2 (* (pow x.im 2) x.re))
(sqrt 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 2)
(* (pow x.re 2) (+ 1 (* -1 (/ 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)))))
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 2) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(sqrt (pow x.re 3))
(* (pow x.re 2) (+ (sqrt (/ 1 x.re)) (* -1 (* x.im (sqrt (/ 1 (pow x.re 3)))))))
(* -1 (* (pow x.re 3) (pow (sqrt -1) 2)))
(* -1 (* (pow x.re 3) (+ (/ (* (pow (sqrt -1) 2) (+ x.im (* -1 x.im))) x.re) (pow (sqrt -1) 2))))
(* -1 (* (pow x.re 3) (+ (* -1 (/ (+ (* -1 (* (pow (sqrt -1) 2) (+ x.im (* -1 x.im)))) (* -1 (/ (- (* -1 (* (pow x.im 2) (pow (sqrt -1) 2))) (* -2 (pow x.im 2))) x.re))) x.re)) (pow (sqrt -1) 2))))
(* -1 (* (pow x.re 2) (pow (sqrt -1) 2)))
(* (pow x.re 2) (+ (* -1 (pow (sqrt -1) 2)) (/ (* x.im (pow (sqrt -1) 2)) x.re)))
(* -1 (* (pow x.re 3) (+ (* -1 (/ (+ (* -1 (* (pow (sqrt -1) 2) (+ x.im (* -1 x.im)))) (/ (* (pow x.im 2) (pow (sqrt -1) 2)) x.re)) x.re)) (pow (sqrt -1) 2))))
(* -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) (- (* -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)))
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (/ (pow x.im 2) x.re)) x.re))))
(* -1 (* x.re (pow (sqrt -1) 2)))
(* -1 (* x.re (+ (* -1 (/ x.im x.re)) (pow (sqrt -1) 2))))
(* -1 (* (pow x.re 3) (+ (* -1 (/ (+ x.im (* x.im (pow (sqrt -1) 2))) x.re)) (pow (sqrt -1) 2))))
(* -1 (* (pow x.re 3) (+ (* -1 (/ (+ x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* x.im (pow (sqrt -1) 2)))) x.re)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt (pow x.re 3)) (pow (sqrt -1) 2)))
(* (pow x.re 2) (+ (* -1 (* (sqrt (/ 1 x.re)) (pow (sqrt -1) 2))) (* (* x.im (pow (sqrt -1) 2)) (sqrt (/ 1 (pow x.re 3))))))
(* -1 (* (sqrt x.re) (pow (sqrt -1) 2)))
(+ (* 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))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(* -3 x.im)
(* -3 (pow x.im 2))
(pow x.im 2)
0
(+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))
(+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* 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 x.im)) (/ x.re x.im)) 1))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* x.im (+ (* -1 (sqrt x.re)) (* (/ 1 x.im) (sqrt (pow x.re 3)))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(* (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)))
(* (pow x.im 2) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))
(* (pow x.im 2) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))) x.im)) 1))
(* -1 (* x.im (+ (sqrt x.re) (* -1 (* (/ 1 x.im) (sqrt (pow x.re 3)))))))

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

rewrite174.0ms (2.6%)

Memory

32.5MiB live, 173.8MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	217
0	66	180
1	275	152
2	1714	134
0	9348	134

Stop Event

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

Counts

24 → 1 703

Calls

Call 1

Inputs
(-.f64 (.f64 (+.f64 x.im x.re) (.f64 (.f64 (-.f64 x.re x.im) (sqrt.f64 x.re)) (sqrt.f64 x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(.f64 (.f64 (-.f64 x.re x.im) (sqrt.f64 x.re)) (sqrt.f64 x.re))
(.f64 (+.f64 x.im x.re) (.f64 (*.f64 (-.f64 x.re x.im) (sqrt.f64 x.re)) (sqrt.f64 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 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))
(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
(*.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 x.im x.im) #s(literal -3 binary64)) x.re))
(.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
(*.f64 x.im x.im)
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (*.f64 #s(literal 0 binary64) x.im))
(*.f64 #s(literal 0 binary64) x.im)
(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im)
(-.f64 (.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.re)) (*.f64 #s(literal 0 binary64) x.im))
(.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.re))
(*.f64 (-.f64 x.re x.im) (sqrt.f64 x.re))
(.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)
(+.f64 x.re x.im)
(*.f64 (-.f64 x.re x.im) x.re)
(sqrt.f64 x.re)

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

eval124.0ms (1.9%)

Memory: -1.0MiB live, 129.8MiB allocated; 15ms collecting garbage
Compiler: Compiled 19 536 to 2 287 computations (88.3% saved)

prune59.0ms (0.9%)

Memory

3.1MiB live, 61.1MiB allocated; 6ms collecting garbage

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	670	6	676
Fresh	1	7	8
Picked	3	2	5
Done	1	3	4
Total	675	18	693

Accuracy

100.0%

Counts

693 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.5%	(fma.f64 (.f64 (-.f64 x.re x.im) x.re) x.re (.f64 (*.f64 (-.f64 x.re x.im) x.re) x.im))
	76.4%	(-.f64 (.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.re)) #s(approx (* 0 x.im) #s(literal 0 binary64)))
	88.2%	(-.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.re) (.f64 (fma.f64 (/.f64 x.re x.im) x.re (neg.f64 x.re)) x.im))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
	86.5%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 #s(literal 2 binary64) (.f64 x.re x.im))) x.im))
	76.0%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(approx (* 0 x.im) #s(literal 0 binary64)))
	55.6%	(-.f64 (.f64 #s(approx ( (- x.re x.im) (+ x.re x.im)) (.f64 x.re x.re)) x.re) (.f64 #s(literal 0 binary64) x.im))
	55.0%	(.f64 (-.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))
	54.9%	(.f64 (.f64 (sqrt.f64 x.re) (-.f64 x.re x.im)) (*.f64 (sqrt.f64 x.re) (-.f64 x.re x.im)))
	88.9%	#s(approx (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re 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))
	59.3%	#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 x.re x.im) #s(literal -3 binary64)) x.im))
✓	54.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
	59.4%	#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 #s(literal -3 binary64)) x.re) x.im))
✓	59.4%	#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))
	70.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 x.re (.f64 x.im x.im)) x.re #s(literal -3 binary64))) (.f64 x.im x.im)))
	54.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im x.im)))
✓	59.4%	#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))))
✓	59.3%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))
✓	54.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re)))

Compiler

Compiled 1 266 to 420 computations (66.8% saved)

regimes38.0ms (0.6%)

Memory

0.7MiB live, 46.8MiB allocated; 3ms collecting garbage

Counts

35 → 2

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

Outputs

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

(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(approx (* 0 x.im) #s(literal 0 binary64)))

Calls

3 calls:

20.0ms	x.im
9.0ms	x.re
7.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
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))`
99.7%	2	`x.re`
97.4%	2	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes11.0ms (0.2%)

Memory

-30.8MiB live, 14.8MiB allocated; 3ms collecting garbage

Counts

30 → 2

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

Outputs

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

(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(approx (* 0 x.im) #s(literal 0 binary64)))

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
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 19 to 11 computations (42.1% saved)

regimes15.0ms (0.2%)

Memory

36.3MiB live, 36.3MiB allocated; 0ms collecting garbage

Counts

28 → 2

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

Outputs

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

(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(approx (* 0 x.im) #s(literal 0 binary64)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.7%	2	`x.re`
99.7%	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)

regimes12.0ms (0.2%)

Memory

-17.5MiB live, 26.5MiB allocated; 4ms collecting garbage

Counts

15 → 2

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

Outputs

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

(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(approx (* 0 x.im) #s(literal 0 binary64)))

Calls

2 calls:

7.0ms	x.re
4.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
99.7%	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))`
98.7%	3	`x.re`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes10.0ms (0.1%)

Memory

28.7MiB live, 28.7MiB allocated; 0ms collecting garbage

Counts

10 → 2

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 #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 (.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 x.re #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.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 #s(literal -3 binary64)) x.re) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 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 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im))
(.f64 (-.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))
(-.f64 (.f64 #s(approx ( (- x.re x.im) (+ x.re x.im)) (.f64 x.re x.re)) x.re) (.f64 #s(literal 0 binary64) 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 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))

(-.f64 (*.f64 #s(approx (* (- x.re x.im) (+ x.re x.im)) (*.f64 x.re x.re)) x.re) (*.f64 #s(literal 0 binary64) x.im))

Calls

3 calls:

3.0ms	x.im
3.0ms	x.re
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
85.2%	2	`x.re`
82.7%	2	`x.im`
95.8%	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)

regimes9.0ms (0.1%)

Memory

-51.7MiB live, 5.5MiB allocated; 11ms collecting garbage

Counts

9 → 2

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

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

Calls

1 calls:

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
95.6%	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)

regimes8.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Counts

8 → 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
59.4%	1	`x.im`
59.4%	1	`x.re`
59.4%	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 (0.1%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Counts

2 → 1

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

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

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

Calls

3 calls:

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
59.3%	1	`x.im`
59.3%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
59.3%	1	`x.re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes3.0ms (0.1%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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
54.7%	1	`x.im`
54.7%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
54.7%	1	`x.re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.7562143126443786e-275	3.17345334816398e-267

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.617106937779041e+78	4.724726836449218e+79

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	14103328655.926613	9.617106937779041e+78

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.76217240419e-312	-0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.76217240419e-312	-0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.76217240419e-312	-0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify56.0ms (0.8%)

Memory

12.9MiB live, 59.4MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	80	435
1	142	423
2	292	421
3	707	403
4	1713	397
5	5184	397

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 6237000967295999/311850048364799970571308236412006025948039259443040240859773006630814358104525635278899682108224328295209757319405077381870693435686499009490495593482004909425000886398607136955865268975681716747289586991334988123957939133612635998263883635695006899610487641699336881506618514879741251551232 binary64)) (-.f64 (.f64 (+.f64 x.im x.re) (.f64 (.f64 (-.f64 x.re x.im) (sqrt.f64 x.re)) (sqrt.f64 x.re))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(approx ( 0 x.im) #s(literal 0 binary64))))
(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 9999999999999999673560075006595519222746403606649979913266024618633003221909504 binary64)) (-.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.re) (.f64 (fma.f64 (/.f64 x.re x.im) x.re (neg.f64 x.re)) x.im))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(approx ( 0 x.im) #s(literal 0 binary64))))
(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 20000000000 binary64)) (-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(approx (* 0 x.im) #s(literal 0 binary64))))
(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 -809609013229/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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)))) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(approx ( 0 x.im) #s(literal 0 binary64))))
(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 -809609013229/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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)))) (-.f64 (.f64 #s(approx (* (- x.re x.im) (+ x.re x.im)) (.f64 x.re x.re)) x.re) (.f64 #s(literal 0 binary64) 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 -809609013229/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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)))) (.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.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(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.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 6237000967295999/311850048364799970571308236412006025948039259443040240859773006630814358104525635278899682108224328295209757319405077381870693435686499009490495593482004909425000886398607136955865268975681716747289586991334988123957939133612635998263883635695006899610487641699336881506618514879741251551232 binary64)) (-.f64 (.f64 (+.f64 x.im x.re) (.f64 (.f64 (-.f64 x.re x.im) (sqrt.f64 x.re)) (sqrt.f64 x.re))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(approx ( 0 x.im) #s(literal 0 binary64))))
(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 9999999999999999673560075006595519222746403606649979913266024618633003221909504 binary64)) (-.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.re) (.f64 (fma.f64 (/.f64 x.re x.im) x.re (neg.f64 x.re)) x.im))) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(approx ( 0 x.im) #s(literal 0 binary64))))
(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 20000000000 binary64)) (-.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.im)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(approx (* 0 x.im) #s(literal 0 binary64))))
(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 -809609013229/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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)))) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(approx ( 0 x.im) #s(literal 0 binary64))))
(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 -809609013229/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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)))) (-.f64 (.f64 #s(approx (* (- x.re x.im) (+ x.re x.im)) (.f64 x.re x.re)) x.re) (.f64 #s(literal 0 binary64) 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 -809609013229/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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)))) (.f64 #s(approx (* (- x.re x.im) (+ x.re x.im)) (*.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 -809609013229/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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)))) (.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.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(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.im x.im) x.re)))

derivations902.0ms (13.6%)

Memory

-7.2MiB live, 994.5MiB allocated; 66ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	237
1	172	217
2	610	208
3	3532	208
0	8354	202
0	220	806
1	775	592
2	3193	534
0	8233	516
0	264	889
1	934	669
2	3972	619
0	8387	602
0	11	51
0	20	51
1	88	39
0	679	38
0	40	217
0	66	180
1	275	152
2	1714	134
0	9348	134
0	40	216
0	66	197
1	254	165
2	1552	149
0	10665	144
0	45	273
0	73	259
1	278	231
2	1886	227
0	9093	222

Stop Event

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

Compiler

Compiled 441 to 79 computations (82.1% saved)

preprocess139.0ms (2.1%)

Memory: -7.9MiB live, 229.8MiB allocated; 18ms collecting garbage
Remove: (abs x.im)
Compiler: Compiled 1 302 to 394 computations (69.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (22.8%)

explain221.0ms (3.3%)

preprocess204.0ms (3.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify248.0ms (3.7%)

localize33.0ms (0.5%)

series35.0ms (0.5%)

simplify176.0ms (2.7%)

rewrite50.0ms (0.7%)

eval74.0ms (1.1%)

prune6.0ms (0.1%)

simplify157.0ms (2.4%)

localize144.0ms (2.2%)

series49.0ms (0.7%)

simplify262.0ms (3.9%)

rewrite228.0ms (3.4%)

eval84.0ms (1.3%)

prune38.0ms (0.6%)

simplify180.0ms (2.7%)

localize88.0ms (1.3%)

series25.0ms (0.4%)

simplify158.0ms (2.4%)

rewrite274.0ms (4.1%)

eval172.0ms (2.6%)

prune98.0ms (1.5%)

simplify217.0ms (3.3%)

localize113.0ms (1.7%)

series54.0ms (0.8%)

simplify182.0ms (2.7%)

rewrite174.0ms (2.6%)

eval124.0ms (1.9%)

prune59.0ms (0.9%)

regimes38.0ms (0.6%)

regimes11.0ms (0.2%)

regimes15.0ms (0.2%)

regimes12.0ms (0.2%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify56.0ms (0.8%)

derivations902.0ms (13.6%)

preprocess139.0ms (2.1%)

end0.0ms (0%)

Profiling