Metrics for math.cube on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

sample1.4s (19.7%)

Memory

13.6MiB live, 1 442.6MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 761.0ms

ival-mult: 619.0ms (81.4% of total)

ival-add: 95.0ms (12.5% of total)

ival-sub: 37.0ms (4.9% of total)

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

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain199.0ms (2.8%)

Memory

0.3MiB live, 254.5MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`	nan-rescue	26	0
↳	`(*.f64 x.re x.re)`	overflow	73
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	118
↳	`(*.f64 x.im x.im)`	overflow	65
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	overflow	122
↳	`(*.f64 x.im x.re)`	overflow	36
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`	overflow	75
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	36
↳	`(*.f64 x.re x.im)`	overflow	36
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	20	0
↳	`(*.f64 x.re x.re)`	overflow	73
↳	`(*.f64 x.im x.im)`	overflow	65
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	*no**	13	0

Confusion

	Predicted +	Predicted -
+	46	0
-	0	210

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	210
1	33
2	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

88.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

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

ival-add: 40.0ms (55.1% of total)

ival-mult: 29.0ms (40% of total)

ival-sub: 2.0ms (2.8% of total)

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

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

preprocess190.0ms (2.7%)

Memory

20.8MiB live, 206.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	103
1	114	87
2	408	85
3	1278	57
4	4725	57
0	11	19
0	20	19
1	44	17
2	145	17
3	565	11
4	1712	11
5	5603	11
0	8569	11

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x.re)

(negabs x.im)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.1%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify162.0ms (2.3%)

Memory

-22.8MiB live, 211.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	65
0	20	65
1	44	59
2	145	59
3	565	53
4	1712	53
5	5603	53
0	8569	53

Stop Event

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

Calls

Call 1

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

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

localize28.0ms (0.4%)

Memory

8.1MiB live, 53.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	3.1552291736387965	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy	4.652316915792675	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	6.593696331585351	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Samples

21.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

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

ival-mult: 9.0ms (74.5% of total)

ival-add: 2.0ms (16.5% of total)

ival-sub: 1.0ms (8.3% of total)

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

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

series15.0ms (0.2%)

Memory

-27.8MiB live, 28.6MiB allocated

Counts

5 → 22

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x.im	@	-inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms	x.im	@	0	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms	x.im	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms	x.re	@	0	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms	x.re	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify230.0ms (3.3%)

Memory

34.0MiB live, 271.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	215
1	202	207
2	773	206
3	4378	206
0	8308	201

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

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

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

rewrite48.0ms (0.7%)

Memory

12.5MiB live, 104.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 119

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))))))
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eval33.0ms (0.5%)

Memory: -39.9MiB live, 23.3MiB allocated
Compiler: Compiled 3 305 to 481 computations (85.4% saved)

prune5.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Accuracy

100.0%

Counts

136 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.6%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	56.6%	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	56.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
	75.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (-.f64 (.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)))
▶	56.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
▶	89.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))

Compiler

Compiled 322 to 186 computations (42.2% saved)

simplify226.0ms (3.2%)

Memory

-2.6MiB live, 271.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x.im)
cost-diff	0	(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
cost-diff	0	(+.f64 x.im x.re)
cost-diff	0	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	6	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff	0	(.f64 (.f64 x.im x.re) x.re)
cost-diff	0	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re))
cost-diff	1	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	0	(*.f64 #s(literal 3 binary64) x.re)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) x.re) x.im)
cost-diff	0	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
cost-diff	0	(fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re)))
cost-diff	0	(neg.f64 x.im)
cost-diff	0	(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	272
0	56	264
1	118	248
2	317	248
3	1061	230
4	2772	230
5	5408	230
0	8457	229

Stop Event

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

Calls

Call 1

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

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

localize122.0ms (1.7%)

Memory

-9.5MiB live, 187.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
accuracy	0.0	(neg.f64 x.im)
accuracy	28.062290415038877	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
accuracy	0.01171875	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
accuracy	0.1171875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	0.1171875	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
accuracy	6.593696331585351	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy	0.1171875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	0.1171875	(.f64 (.f64 x.im x.re) x.re)
accuracy	6.593696331585351	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy	27.69639431583721	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re))
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.15234375	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
accuracy	0.44725976930102995	(.f64 (.f64 #s(literal 3 binary64) x.re) x.im)
accuracy	27.68649615332663	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
accuracy	0.0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))
accuracy	0.12890625	(.f64 #s(literal -3 binary64) (.f64 x.re x.re))
accuracy	3.1616015135569335	(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
accuracy	3.2499642188722824	(fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re)))

Samples

53.0ms

256×

valid

Compiler

Compiled 239 to 29 computations (87.9% saved)

Precisions

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

ival-mult: 19.0ms (50.8% of total)

ival-pow: 6.0ms (16% of total)

ival-sub: 5.0ms (13.4% of total)

ival-add: 5.0ms (13.4% of total)

ival-neg: 1.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.3%)

Memory

21.4MiB live, 66.3MiB allocated

Counts

19 → 56

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x.im	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.im x.re) x.re) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
5.0ms	x.im	@	-inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.im x.re) x.re) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms	x.re	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.im x.re) x.re) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms	x.im	@	0	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.im x.re) x.re) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms	x.re	@	-inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.im x.re) x.re) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow (neg x.im) 3) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify244.0ms (3.5%)

Memory

7.3MiB live, 390.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	538
1	649	513
2	2674	513
0	8662	499

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 54

Calls

Call 1

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

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

rewrite300.0ms (4.3%)

Memory

-5.3MiB live, 565.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	219
0	56	219
1	217	191
2	1389	189
0	9069	177

Stop Event

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

Counts

19 → 539

Calls

Call 1

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

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

eval120.0ms (1.7%)

Memory: 0.2MiB live, 238.6MiB allocated
Compiler: Compiled 27 441 to 2 102 computations (92.3% saved)

prune28.0ms (0.4%)

Memory

16.6MiB live, 108.9MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	641	13	654
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	644	16	660

Accuracy

100.0%

Counts

660 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.4%	(+.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	89.6%	(+.f64 (.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	89.5%	(+.f64 (.f64 (fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	89.3%	(+.f64 (.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	51.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 (neg.f64 x.im) (.f64 x.re x.re)) #s(literal -3 binary64) (pow.f64 x.im #s(literal 3 binary64))))
	82.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 (neg.f64 x.im) x.im) x.im (.f64 (.f64 (neg.f64 x.im) #s(literal -3 binary64)) (.f64 x.re x.re))))
▶	51.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 x.im x.im) x.im (.f64 (.f64 (neg.f64 x.im) #s(literal -3 binary64)) (.f64 x.re x.re))))
✓	56.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
	56.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
	51.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
✓	56.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
	56.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
▶	56.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
▶	17.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) x.im))
✓	89.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))
	56.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re)))

Compiler

Compiled 790 to 453 computations (42.7% saved)

simplify121.0ms (1.7%)

Memory

-3.0MiB live, 234.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	322
0	65	296
1	132	269
2	459	269
3	2093	239
4	6036	239
0	8047	237

Stop Event

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

Calls

Call 1

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

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

localize167.0ms (2.4%)

Memory

0.2MiB live, 294.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	1.4628769213995856	(.f64 (.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)))
accuracy	6.593696331585351	(+.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
accuracy	7.275148960888172	(/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))) (-.f64 x.im x.re))
accuracy	0.0	(neg.f64 x.im)
accuracy	0.046875	(fma.f64 (.f64 x.im x.im) x.im (.f64 (.f64 (neg.f64 x.im) #s(literal -3 binary64)) (.f64 x.re x.re)))
accuracy	6.116805414760301	(.f64 (.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))
accuracy	27.90287136738489	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 x.im x.im) x.im (.f64 (.f64 (neg.f64 x.im) #s(literal -3 binary64)) (.f64 x.re x.re))))
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.17416000976844204	(.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))
accuracy	27.68649615332663	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
accuracy	0.0	(*.f64 x.im x.im)
accuracy	0.09765625	(.f64 (.f64 x.im x.im) x.im)
accuracy	53.02008967795057	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) x.im))
accuracy	0.1171875	(.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.im))
accuracy	0.1171875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	0.265625	(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im)
accuracy	6.593696331585351	(+.f64 (.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Samples

104.0ms

256×

valid

Compiler

Compiled 300 to 35 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 41.0ms (70% of total)

ival-add: 7.0ms (12% of total)

ival-sub: 4.0ms (6.8% of total)

ival-div: 2.0ms (3.4% of total)

ival-sqrt: 2.0ms (3.4% of total)

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

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory

17.4MiB live, 62.6MiB allocated

Counts

20 → 76

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x.re	@	inf	((+ (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (sqrt x.re) (sqrt x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (* (* x.im x.im) x.im) (+ (* (- (* x.re x.re) (* x.im 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.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im x.re) (* 3 x.re)) (* x.im x.re) (* 3 x.re) (+ (* (* x.im x.im) x.im) (* (* (neg x.im) -3) (* x.re x.re))) (* (neg x.im) -3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (* (- x.re x.im) x.im) (* (+ x.im x.re) (- x.im x.re))) (- x.im x.re)) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.im x.re) (- x.im x.re))) (- x.im x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (- x.re x.im) x.im) (* (+ x.im x.re) (- x.im x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (* (neg x.im) -3) (* x.re x.re)) (neg x.im))
4.0ms	x.re	@	-inf	((+ (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (sqrt x.re) (sqrt x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (* (* x.im x.im) x.im) (+ (* (- (* x.re x.re) (* x.im 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.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im x.re) (* 3 x.re)) (* x.im x.re) (* 3 x.re) (+ (* (* x.im x.im) x.im) (* (* (neg x.im) -3) (* x.re x.re))) (* (neg x.im) -3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (* (- x.re x.im) x.im) (* (+ x.im x.re) (- x.im x.re))) (- x.im x.re)) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.im x.re) (- x.im x.re))) (- x.im x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (- x.re x.im) x.im) (* (+ x.im x.re) (- x.im x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (* (neg x.im) -3) (* x.re x.re)) (neg x.im))
3.0ms	x.im	@	-inf	((+ (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (sqrt x.re) (sqrt x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (* (* x.im x.im) x.im) (+ (* (- (* x.re x.re) (* x.im 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.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im x.re) (* 3 x.re)) (* x.im x.re) (* 3 x.re) (+ (* (* x.im x.im) x.im) (* (* (neg x.im) -3) (* x.re x.re))) (* (neg x.im) -3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (* (- x.re x.im) x.im) (* (+ x.im x.re) (- x.im x.re))) (- x.im x.re)) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.im x.re) (- x.im x.re))) (- x.im x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (- x.re x.im) x.im) (* (+ x.im x.re) (- x.im x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (* (neg x.im) -3) (* x.re x.re)) (neg x.im))
3.0ms	x.im	@	inf	((+ (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (sqrt x.re) (sqrt x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (* (* x.im x.im) x.im) (+ (* (- (* x.re x.re) (* x.im 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.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im x.re) (* 3 x.re)) (* x.im x.re) (* 3 x.re) (+ (* (* x.im x.im) x.im) (* (* (neg x.im) -3) (* x.re x.re))) (* (neg x.im) -3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (* (- x.re x.im) x.im) (* (+ x.im x.re) (- x.im x.re))) (- x.im x.re)) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.im x.re) (- x.im x.re))) (- x.im x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (- x.re x.im) x.im) (* (+ x.im x.re) (- x.im x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (* (neg x.im) -3) (* x.re x.re)) (neg x.im))
2.0ms	x.re	@	0	((+ (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (sqrt x.re) (sqrt x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (* (* x.im x.im) x.im) (+ (* (- (* x.re x.re) (* x.im 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.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im x.re) (* 3 x.re)) (* x.im x.re) (* 3 x.re) (+ (* (* x.im x.im) x.im) (* (* (neg x.im) -3) (* x.re x.re))) (* (neg x.im) -3) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (* (- x.re x.im) x.im) (* (+ x.im x.re) (- x.im x.re))) (- x.im x.re)) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.im x.re) (- x.im x.re))) (- x.im x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (- x.re x.im) x.im) (* (+ x.im x.re) (- x.im x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (* (neg x.im) -3) (* x.re x.re)) (neg x.im))

simplify199.0ms (2.8%)

Memory

-26.2MiB live, 303.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	307	1060
1	1207	850
2	5927	820
0	8338	788

Stop Event

1×	iter limit
1×	node limit

Counts

76 → 74

Calls

Call 1

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

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

rewrite245.0ms (3.5%)

Memory

-5.4MiB live, 277.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	246
0	65	214
1	247	183
2	1687	149
0	9688	142

Stop Event

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

Counts

20 → 718

Calls

Call 1

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

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

eval104.0ms (1.5%)

Memory: 8.9MiB live, 154.6MiB allocated
Compiler: Compiled 24 438 to 2 042 computations (91.6% saved)

prune39.0ms (0.6%)

Memory

19.6MiB live, 67.2MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	628	9	637
Fresh	4	4	8
Picked	3	2	5
Done	1	2	3
Total	636	17	653

Accuracy

100.0%

Counts

653 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.1%	(+.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 x.re #s(literal 0 binary64)))
▶	89.6%	(+.f64 (.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 (.f64 #s(literal 2 binary64) x.re) x.im)) x.re))
▶	89.5%	(+.f64 (.f64 (fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	89.3%	(+.f64 (.f64 #s(approx (+ ( (sqrt x.re) (sqrt x.re)) x.im) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	56.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 (.f64 x.im x.re) x.re) #s(literal 3 binary64) (pow.f64 x.im #s(literal 3 binary64))))
	86.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 x.im x.im) (neg.f64 x.im) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) x.re)))
✓	56.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
	16.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 x.im x.re) x.re) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) x.re (.f64 (*.f64 (neg.f64 x.im) x.im) x.im))))
▶	56.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 (.f64 x.im #s(literal 3 binary64)) x.re) (sqrt.f64 x.re)) (sqrt.f64 x.re)))
	56.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)))
▶	56.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
	51.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
▶	56.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
	51.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
✓	56.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
✓	17.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) x.im))
✓	89.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))

Compiler

Compiled 859 to 499 computations (41.9% saved)

simplify252.0ms (3.6%)

Memory

-28.9MiB live, 260.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) x.re) (.f64 (-.f64 x.re x.im) x.im))
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	3	(fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) x.re)
cost-diff	6	(+.f64 (.f64 (fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff	0	(.f64 (.f64 x.im #s(literal 3 binary64)) x.re)
cost-diff	0	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) (sqrt.f64 x.re))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 (.f64 x.im #s(literal 3 binary64)) x.re) (sqrt.f64 x.re)) (sqrt.f64 x.re)))
cost-diff	4	(.f64 (.f64 (.f64 (.f64 x.im #s(literal 3 binary64)) x.re) (sqrt.f64 x.re)) (sqrt.f64 x.re))
cost-diff	0	(*.f64 x.im x.re)
cost-diff	0	(.f64 (.f64 x.im x.re) #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re)
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
cost-diff	0	(neg.f64 x.im)
cost-diff	0	(*.f64 (neg.f64 x.im) x.im)
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
cost-diff	2	(.f64 (.f64 (neg.f64 x.im) x.im) x.im)
cost-diff	0	(sqrt.f64 x.re)
cost-diff	0	(.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) 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.im)) (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 (.f64 #s(literal 2 binary64) x.re) x.im)) x.re))
cost-diff	3	(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im)

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	316
0	71	288
1	145	268
2	500	268
3	2706	242
4	6193	242
0	8027	242

Stop Event

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

Calls

Call 1

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

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

localize145.0ms (2.1%)

Memory

4.1MiB live, 194.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(.f64 (fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) x.re) (.f64 (-.f64 x.re x.im) x.im))
accuracy	0.1171875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	0.23828125	(fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) x.re)
accuracy	6.593696331585351	(+.f64 (.f64 (fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy	0.14453125	(.f64 (.f64 (.f64 (.f64 x.im #s(literal 3 binary64)) x.re) (sqrt.f64 x.re)) (sqrt.f64 x.re))
accuracy	0.16015625	(.f64 (.f64 x.im #s(literal 3 binary64)) x.re)
accuracy	0.2734375	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) (sqrt.f64 x.re))
accuracy	27.68649615332663	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 (.f64 x.im #s(literal 3 binary64)) x.re) (sqrt.f64 x.re)) (sqrt.f64 x.re)))
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.15234375	(.f64 (.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re)
accuracy	0.26171875	(.f64 (.f64 x.im x.re) #s(literal 3 binary64))
accuracy	27.68649615332663	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
accuracy	0.0	(*.f64 (neg.f64 x.im) x.im)
accuracy	0.0	(neg.f64 x.im)
accuracy	0.09765625	(.f64 (.f64 (neg.f64 x.im) x.im) x.im)
accuracy	28.062290415038877	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
accuracy	0.1171875	(.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 (.f64 #s(literal 2 binary64) x.re) x.im)) x.re)
accuracy	0.24023286671795174	(.f64 (.f64 #s(literal 2 binary64) x.re) x.im)
accuracy	0.265625	(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im)
accuracy	6.593696331585351	(+.f64 (.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 (.f64 #s(literal 2 binary64) x.re) x.im)) x.re))

Samples

97.0ms

256×

valid

Compiler

Compiled 279 to 38 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 40.0ms (74.8% of total)

ival-add: 6.0ms (11.2% of total)

ival-sqrt: 4.0ms (7.5% of total)

ival-sub: 2.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.5%)

Memory

7.6MiB live, 53.8MiB allocated

Counts

23 → 61

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	x.im	@	inf	((+ (* (sqrt x.re) (sqrt x.re)) x.im) (+ (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (sqrt x.re) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im x.re) 3) x.re) (* (* x.im x.re) 3) (* x.im x.re) (* (* (* (* x.im 3) x.re) (sqrt x.re)) (sqrt x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im 3) x.re) (sqrt x.re)) (* (* x.im 3) x.re) (+ (* (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (sqrt x.im) (sqrt x.im)) x.re) (+ (* x.re x.im) (* x.im x.re)) (* (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (- x.re x.im) x.im)) (* (* 2 x.re) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
5.0ms	x.re	@	-inf	((+ (* (sqrt x.re) (sqrt x.re)) x.im) (+ (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (sqrt x.re) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im x.re) 3) x.re) (* (* x.im x.re) 3) (* x.im x.re) (* (* (* (* x.im 3) x.re) (sqrt x.re)) (sqrt x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im 3) x.re) (sqrt x.re)) (* (* x.im 3) x.re) (+ (* (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (sqrt x.im) (sqrt x.im)) x.re) (+ (* x.re x.im) (* x.im x.re)) (* (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (- x.re x.im) x.im)) (* (* 2 x.re) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
4.0ms	x.im	@	-inf	((+ (* (sqrt x.re) (sqrt x.re)) x.im) (+ (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (sqrt x.re) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im x.re) 3) x.re) (* (* x.im x.re) 3) (* x.im x.re) (* (* (* (* x.im 3) x.re) (sqrt x.re)) (sqrt x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im 3) x.re) (sqrt x.re)) (* (* x.im 3) x.re) (+ (* (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (sqrt x.im) (sqrt x.im)) x.re) (+ (* x.re x.im) (* x.im x.re)) (* (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (- x.re x.im) x.im)) (* (* 2 x.re) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms	x.im	@	0	((+ (* (sqrt x.re) (sqrt x.re)) x.im) (+ (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (sqrt x.re) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im x.re) 3) x.re) (* (* x.im x.re) 3) (* x.im x.re) (* (* (* (* x.im 3) x.re) (sqrt x.re)) (sqrt x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im 3) x.re) (sqrt x.re)) (* (* x.im 3) x.re) (+ (* (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (sqrt x.im) (sqrt x.im)) x.re) (+ (* x.re x.im) (* x.im x.re)) (* (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (- x.re x.im) x.im)) (* (* 2 x.re) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms	x.re	@	inf	((+ (* (sqrt x.re) (sqrt x.re)) x.im) (+ (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (sqrt x.re) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im x.re) 3) x.re) (* (* x.im x.re) 3) (* x.im x.re) (* (* (* (* x.im 3) x.re) (sqrt x.re)) (sqrt x.re)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.im 3) x.re) (sqrt x.re)) (* (* x.im 3) x.re) (+ (* (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (sqrt x.im) (sqrt x.im)) x.re) (+ (* x.re x.im) (* x.im x.re)) (* (+ (* (sqrt x.im) (sqrt x.im)) x.re) (* (- x.re x.im) x.im)) (* (* 2 x.re) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify171.0ms (2.4%)

Memory

27.7MiB live, 170.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	687
1	793	546
2	3649	479
0	8520	461

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 59

Calls

Call 1

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

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

rewrite195.0ms (2.8%)

Memory

-18.5MiB live, 74.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	259
0	71	231
1	247	191
2	1534	150
0	9505	145

Stop Event

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

Counts

23 → 744

Calls

Call 1

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

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

eval146.0ms (2.1%)

Memory: -6.3MiB live, 89.9MiB allocated
Compiler: Compiled 27 467 to 2 181 computations (92.1% saved)

prune25.0ms (0.4%)

Memory

34.6MiB live, 34.6MiB allocated

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	678	3	681
Fresh	3	5	8
Picked	2	3	5
Done	0	4	4
Total	683	15	698

Accuracy

100.0%

Counts

698 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.1%	(+.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 x.re #s(literal 0 binary64)))
✓	89.6%	(+.f64 (.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 (.f64 #s(literal 2 binary64) x.re) x.im)) x.re))
	78.6%	(+.f64 (.f64 (fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) x.re) (.f64 (-.f64 x.re x.im) x.im)) (*.f64 x.re #s(literal 0 binary64)))
	86.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 x.im x.im) (neg.f64 x.im) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) x.re)))
✓	56.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
	56.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 x.im x.re)) (sqrt.f64 (*.f64 x.im x.re))) #s(literal 3 binary64)) x.re))
	56.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 (sqrt.f64 x.re) (.f64 #s(literal 3 binary64) x.im)) x.re) (sqrt.f64 x.re)))
	56.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)))
✓	56.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
	51.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
✓	56.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
	51.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
✓	56.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
✓	17.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) x.im))
✓	89.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))

Compiler

Compiled 1 291 to 373 computations (71.1% saved)

regimes128.0ms (1.8%)

Memory

-38.4MiB live, 157.6MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

50.0ms	x.im
47.0ms	x.re
14.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
97.3%	3	`x.re`
99.8%	2	`x.im`
99.8%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes55.0ms (0.8%)

Memory

33.7MiB live, 80.3MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

43.0ms	x.im
11.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

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

Compiler

Compiled 20 to 13 computations (35% saved)

regimes56.0ms (0.8%)

Memory

-41.5MiB live, 57.4MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

32.0ms	x.im
23.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
97.8%	2	`x.im`
97.0%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes47.0ms (0.7%)

Memory

7.7MiB live, 53.7MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

46.0ms

x.im

Results

Accuracy	Segments	Branch
98.6%	3	`x.im`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes93.0ms (1.3%)

Memory

39.2MiB live, 130.8MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

43.0ms	x.im
40.0ms	x.re
9.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
83.6%	4	`x.re`
96.9%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
87.9%	4	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes46.0ms (0.7%)

Memory

-40.8MiB live, 12.4MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

1 calls:

46.0ms

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

Results

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes15.0ms (0.2%)

Memory

28.0MiB live, 28.0MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

3 calls:

6.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
6.0ms	x.re
3.0ms	x.im

Results

Accuracy	Segments	Branch
58.6%	2	`x.re`
56.1%	1	`x.im`
57.8%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes20.0ms (0.3%)

Memory

-33.6MiB live, 14.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	x.im
2.0ms	x.re
2.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
17.2%	1	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
17.2%	1	`x.im`
17.2%	1	`x.re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch17.0ms (0.2%)

Memory

21.8MiB live, 21.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.3454892535795638e+199	2.3055798519016677e+204

Samples

10.0ms

144×

valid

Compiler

Compiled 427 to 268 computations (37.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 5.0ms (73.5% of total)

ival-sub: 1.0ms (14.7% of total)

ival-add: 1.0ms (14.7% of total)

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

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

bsearch10.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	1.3454892535795638e+199	2.3055798519016677e+204
5.0ms	5.710132771182919e-118	6.710331497180772e-118

Samples

5.0ms

80×

valid

Compiler

Compiled 424 to 264 computations (37.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (80.3% of total)

ival-add: 1.0ms (26.8% of total)

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

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

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

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.832607930808948e-304	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.832607930808948e-304	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch55.0ms (0.8%)

Memory

-31.1MiB live, 14.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
54.0ms	3.659970425784866e+200	1.0998698997822282e+201

Samples

50.0ms

80×

valid

Compiler

Compiled 277 to 171 computations (38.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 48.0ms (98.8% of total)

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

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

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

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

simplify58.0ms (0.8%)

Memory

18.4MiB live, 63.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	546
1	122	518
2	238	518
3	666	474
4	1820	474
5	5712	474

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 (.f64 #s(literal 2 binary64) x.re) x.im)) x.re)) (+.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 x.re #s(literal 0 binary64))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (+.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 x.re #s(literal 0 binary64))))
(if (<=.f64 x.im #s(literal 16499999999999999160668201103690024219992851851427968346020293561506799144222174014884117525831096205160538098888947769260881524973005300143687755675061946626626106115404441754792985860865916080750592 binary64)) (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)))
(if (<=.f64 x.im #s(literal 3747762172149223/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (.f64 #s(literal 3 binary64) x.re))) (if (<=.f64 x.im #s(literal 500000000000000018859392646528275145870896857085503962335168289281777326942195222496809523118074794646537707054543694849827765791617457405378002815009462711564396596395540433461110399996001662305042432 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re))))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -4941461262385513/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (.f64 #s(literal 3 binary64) x.re))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -4941461262385513/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (.f64 x.im x.re) x.re))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))))
(if (<=.f64 x.re #s(literal 860000000000000062351847107468956249095550387222099906419173847951094916933269646141240871126286957861676983711528524013550793826984963921569513138416747587434927349934529207029687061442468955031601152 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) x.im))

Outputs
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 (.f64 #s(literal 2 binary64) x.re) x.im)) x.re)) (+.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 x.re #s(literal 0 binary64))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 #s(approx (+ ( x.re x.im) (* x.im x.re)) (.f64 (.f64 #s(literal 2 binary64) x.re) x.im)) x.re)) (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))) (-.f64 x.im x.re)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (+.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 x.re #s(literal 0 binary64))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))) (-.f64 x.im x.re)))
(if (<=.f64 x.im #s(literal 16499999999999999160668201103690024219992851851427968346020293561506799144222174014884117525831096205160538098888947769260881524973005300143687755675061946626626106115404441754792985860865916080750592 binary64)) (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)))
(if (<=.f64 x.im #s(literal 3747762172149223/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (.f64 #s(literal 3 binary64) x.re))) (if (<=.f64 x.im #s(literal 500000000000000018859392646528275145870896857085503962335168289281777326942195222496809523118074794646537707054543694849827765791617457405378002815009462711564396596395540433461110399996001662305042432 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re))))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -4941461262385513/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (.f64 #s(literal 3 binary64) x.re))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))))
(if (or (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -4941461262385513/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) (not (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -4941461262385513/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (.f64 x.im x.re) x.re))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))))
(if (or (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -4941461262385513/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) (not (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re))))
(if (<=.f64 x.re #s(literal 860000000000000062351847107468956249095550387222099906419173847951094916933269646141240871126286957861676983711528524013550793826984963921569513138416747587434927349934529207029687061442468955031601152 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) x.im))

derivations950.0ms (13.5%)

Memory

8.2MiB live, 1 053.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	215
1	202	207
2	773	206
3	4378	206
0	8308	201
0	307	1060
1	1207	850
2	5927	820
0	8338	788
0	37	219
0	56	219
1	217	191
2	1389	189
0	9069	177
0	41	246
0	65	214
1	247	183
2	1687	149
0	9688	142
0	11	51
0	20	51
1	89	39
0	691	38

Stop Event

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

Compiler

Compiled 542 to 78 computations (85.6% saved)

preprocess258.0ms (3.7%)

Memory: 46.6MiB live, 246.6MiB allocated
Remove: (negabs x.im)
Compiler: Compiled 1 558 to 398 computations (74.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (19.7%)

explain199.0ms (2.8%)

preprocess190.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify162.0ms (2.3%)

localize28.0ms (0.4%)

series15.0ms (0.2%)

simplify230.0ms (3.3%)

rewrite48.0ms (0.7%)

eval33.0ms (0.5%)

prune5.0ms (0.1%)

simplify226.0ms (3.2%)

localize122.0ms (1.7%)

series23.0ms (0.3%)

simplify244.0ms (3.5%)

rewrite300.0ms (4.3%)

eval120.0ms (1.7%)

prune28.0ms (0.4%)

simplify121.0ms (1.7%)

localize167.0ms (2.4%)

series21.0ms (0.3%)

simplify199.0ms (2.8%)

rewrite245.0ms (3.5%)

eval104.0ms (1.5%)

prune39.0ms (0.6%)

simplify252.0ms (3.6%)

localize145.0ms (2.1%)

series32.0ms (0.5%)

simplify171.0ms (2.4%)

rewrite195.0ms (2.8%)

eval146.0ms (2.1%)

prune25.0ms (0.4%)

regimes128.0ms (1.8%)

regimes55.0ms (0.8%)

regimes56.0ms (0.8%)

regimes47.0ms (0.7%)

regimes93.0ms (1.3%)

regimes46.0ms (0.7%)

regimes15.0ms (0.2%)

regimes20.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch17.0ms (0.2%)

bsearch10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch55.0ms (0.8%)

simplify58.0ms (0.8%)

derivations950.0ms (13.5%)

preprocess258.0ms (3.7%)

end0.0ms (0%)

Profiling