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 (19.1%)

Memory

-21.8MiB live, 1 459.3MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 662.0ms

ival-mult: 504.0ms (76.1% of total)

ival-add: 88.0ms (13.3% of total)

ival-sub: 60.0ms (9.1% of total)

ival-true: 6.0ms (0.9% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain178.0ms (2.4%)

Memory

-7.3MiB live, 108.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
21	-	-	`(+.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))`
18	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
17	-	-	`(.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	21	0
↳	`(*.f64 x.re x.re)`	overflow	59
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	102
↳	`(*.f64 x.im x.im)`	overflow	61
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	overflow	108
↳	`(*.f64 x.im x.re)`	overflow	33
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`	overflow	56
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	33
↳	`(*.f64 x.re x.im)`	overflow	33
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	18	0
↳	`(*.f64 x.re x.re)`	overflow	59
↳	`(*.f64 x.im x.im)`	overflow	61
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	*no**	17	0

Confusion

	Predicted +	Predicted -
+	45	0
-	0	211

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	211
1	34
2	11

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

84.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 45.0ms (66% of total)

ival-add: 20.0ms (29.3% of total)

ival-sub: 2.0ms (2.9% of total)

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

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

preprocess209.0ms (2.8%)

Memory

20.8MiB live, 110.6MiB 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
▶	82.7%	(+.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)

simplify198.0ms (2.6%)

Memory

4.5MiB live, 102.9MiB 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)

localize62.0ms (0.8%)

Memory

-15.9MiB live, 26.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	4.041706970404276	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy	4.156227294132265	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	5.328081652434322	(+.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

55.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

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

ival-mult: 43.0ms (91.7% of total)

ival-add: 2.0ms (4.3% of total)

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

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

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

series13.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB 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
3.0ms	x.im	@	-inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms	x.im	@	0	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms	x.im	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms	x.re	@	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))

simplify220.0ms (2.9%)

Memory

-5.6MiB live, 84.5MiB 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)))

rewrite107.0ms (1.4%)

Memory

-11.9MiB live, 46.2MiB 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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eval12.0ms (0.2%)

Memory: 12.5MiB live, 12.5MiB allocated
Compiler: Compiled 3 305 to 481 computations (85.4% saved)

prune5.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	128	7	135
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	129	7	136

Accuracy

100.0%

Counts

136 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.6%	(+.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))
	69.6%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -1 binary64)) (.f64 x.im x.im))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	50.5%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	56.7%	(+.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))
	63.3%	#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)))
▶	56.7%	#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))
▶	89.3%	#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 362 to 208 computations (42.5% saved)

simplify266.0ms (3.5%)

Memory

-3.2MiB live, 126.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	314
0	58	322
1	117	298
2	329	298
3	1099	272
4	2902	272
5	5640	272
0	8743	270

Stop Event

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

Calls

Call 1

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

localize169.0ms (2.2%)

Memory

-29.3MiB live, 79.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	4.041706970404276	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
accuracy	5.328081652434322	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
accuracy	29.622097173853934	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
accuracy	0.12109375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	0.12109375	(.f64 (.f64 x.im x.re) x.re)
accuracy	5.328081652434322	(+.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	27.622611930586835	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) 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	0.1328125	(.f64 #s(literal -3 binary64) (.f64 x.re x.re))
accuracy	2.749969723661162	(fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re)))
accuracy	4.048344930136124	(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.171875	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
accuracy	0.19921875	(.f64 (.f64 #s(literal 3 binary64) x.re) x.im)
accuracy	27.622879209597652	#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	0.01171875	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
accuracy	0.0859375	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
accuracy	0.12109375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	5.328081652434322	(+.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))

Samples

61.0ms

256×

valid

Compiler

Compiled 274 to 28 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-add: 22.0ms (49.3% of total)

ival-mult: 19.0ms (42.5% of total)

ival-sub: 2.0ms (4.5% of total)

ival-neg: 1.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.3%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

20 → 62

Calls

Call 1

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

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

Calls

6 calls:

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

simplify180.0ms (2.4%)

Memory

10.2MiB live, 100.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	177	795
1	667	624
2	2760	560
0	8584	551

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 60

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

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

rewrite292.0ms (3.9%)

Memory

6.8MiB live, 306.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	238
0	58	238
1	220	210
2	1510	210
0	8494	199

Stop Event

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

Counts

20 → 548

Calls

Call 1

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

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

eval77.0ms (1%)

Memory: -10.2MiB live, 173.3MiB allocated
Compiler: Compiled 32 397 to 2 234 computations (93.1% saved)

prune20.0ms (0.3%)

Memory

23.0MiB live, 69.9MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	730	10	740
Fresh	1	1	2
Picked	4	1	5
Done	0	0	0
Total	735	12	747

Accuracy

100.0%

Counts

747 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.6%	(+.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	91.6%	(+.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))
▶	91.6%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
	16.0%	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))) x.re))
	56.7%	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
	63.3%	#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)))
▶	56.7%	#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.im) #s(literal 3 binary64)) x.re))
	56.7%	#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 #s(literal 3 binary64)) x.re) x.re))
▶	50.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) x.im))
	56.7%	#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.im) (*.f64 #s(literal 3 binary64) x.re)))
✓	89.3%	#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)))))
▶	63.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))

Compiler

Compiled 611 to 352 computations (42.4% saved)

simplify115.0ms (1.5%)

Memory

-28.7MiB live, 211.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	317
0	70	289
1	142	289
2	357	289
3	1358	259
4	4539	259
0	8460	256

Stop Event

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

Calls

Call 1

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

localize149.0ms (2%)

Memory

-17.6MiB live, 182.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	1.0163951941290215	(.f64 (.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)))
accuracy	5.328081652434322	(+.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
accuracy	6.900133720351252	(/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re))
accuracy	0.0	(*.f64 x.re x.im)
accuracy	0.171875	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.re)
accuracy	0.25390625	(.f64 (.f64 x.re x.im) #s(literal 3 binary64))
accuracy	27.622879209597652	#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.im) #s(literal 3 binary64)) x.re))
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.12109375	(.f64 x.re (.f64 #s(literal 3 binary64) x.re))
accuracy	8.120136142704633	(.f64 (.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) x.im)
accuracy	27.622879209597652	#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 (*.f64 #s(literal 3 binary64) x.re)) x.im))
accuracy	0.0	(neg.f64 x.im)
accuracy	0.0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
accuracy	4.048344930136124	(.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))
accuracy	28.22076247299752	#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))
accuracy	0.0	(*.f64 x.re (+.f64 x.im x.im))
accuracy	0.0859375	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
accuracy	0.12109375	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy	5.328081652434322	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))

Samples

111.0ms

256×

valid

Compiler

Compiled 278 to 38 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 34.0ms (68.2% of total)

ival-add: 9.0ms (18% of total)

ival-sub: 4.0ms (8% of total)

ival-div: 2.0ms (4% of total)

ival-neg: 1.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.3%)

Memory

32.1MiB live, 32.1MiB allocated

Counts

23 → 79

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
(+.f64 x.im x.re)
(*.f64 (-.f64 x.re x.im) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
(.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))
(neg.f64 x.im)
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) x.im))
(.f64 (.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) x.im)
(.f64 x.re (.f64 #s(literal 3 binary64) 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.im) #s(literal 3 binary64)) x.re))
(.f64 (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) x.re)
(.f64 (.f64 x.re x.im) #s(literal 3 binary64))
(*.f64 x.re x.im)
(/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re))
(+.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(.f64 (.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)))
(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
(*.f64 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)) (* 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)
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -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 (pow x.re 2))
(* 3 x.re)
(* 3 (* x.im x.re))
(* x.im x.re)
(* 2 (* x.im x.re))
(* -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.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))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* -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) (+ 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)))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -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 (+ x.re (* -1 x.im)))
(* 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.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)))))))))
(* (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)))
(* (pow x.im 2) (- (/ x.re x.im) 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) (- (* 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 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 (* (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)))
(* -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))))))
(* (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
4.0ms	x.re	@	-inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* x.re x.re) (* x.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)) (* (* x.re (* 3 x.re)) x.im) (* x.re (* 3 x.re)) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) 3) x.re) (* (* x.re x.im) 3) (* x.re x.im) (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (* (* x.re (+ x.im x.im)) x.re) (* x.re (+ x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms	x.im	@	-inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* x.re x.re) (* x.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)) (* (* x.re (* 3 x.re)) x.im) (* x.re (* 3 x.re)) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) 3) x.re) (* (* x.re x.im) 3) (* x.re x.im) (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (* (* x.re (+ x.im x.im)) x.re) (* x.re (+ x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms	x.im	@	inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* x.re x.re) (* x.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)) (* (* x.re (* 3 x.re)) x.im) (* x.re (* 3 x.re)) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) 3) x.re) (* (* x.re x.im) 3) (* x.re x.im) (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (* (* x.re (+ x.im x.im)) x.re) (* x.re (+ x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms	x.re	@	inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* x.re x.re) (* x.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)) (* (* x.re (* 3 x.re)) x.im) (* x.re (* 3 x.re)) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) 3) x.re) (* (* x.re x.im) 3) (* x.re x.im) (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (* (* x.re (+ x.im x.im)) x.re) (* x.re (+ x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms	x.re	@	0	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* x.re x.re) (* x.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)) (* (* x.re (* 3 x.re)) x.im) (* x.re (* 3 x.re)) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) 3) x.re) (* (* x.re x.im) 3) (* x.re x.im) (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (* (* x.re (+ x.im x.im)) x.re) (* x.re (+ x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify160.0ms (2.1%)

Memory

-12.7MiB live, 175.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	298	1098
1	1155	886
2	5449	825
0	8498	797

Stop Event

1×	iter limit
1×	node limit

Counts

79 → 77

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

rewrite287.0ms (3.8%)

Memory

2.6MiB live, 340.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	270
0	70	238
1	260	210
2	1829	210
0	8599	202

Stop Event

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

Counts

23 → 1 679

Calls

Call 1

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

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

eval127.0ms (1.7%)

Memory: 22.9MiB live, 165.5MiB allocated
Compiler: Compiled 34 750 to 2 826 computations (91.9% saved)

prune182.0ms (2.4%)

Memory

-23.9MiB live, 67.9MiB allocated

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	850	4	854
Fresh	2	4	6
Picked	1	4	5
Done	0	1	1
Total	853	13	866

Accuracy

100.0%

Counts

866 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.0%	(fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im))
▶	79.6%	(+.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (-.f64 x.re x.im)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
▶	91.6%	(+.f64 (.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
✓	91.6%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
▶	16.0%	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))) x.re))
	63.3%	#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)))
▶	56.7%	#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.im) x.re) #s(literal 3 binary64)))
✓	56.7%	#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.im) #s(literal 3 binary64)) x.re))
	56.7%	#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 #s(literal 3 binary64)) x.re) x.re))
✓	50.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) x.im))
▶	56.7%	#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.im) (*.f64 #s(literal 3 binary64) x.re)))
✓	89.3%	#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)))))
✓	63.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))

Compiler

Compiled 528 to 307 computations (41.9% saved)

simplify335.0ms (4.4%)

Memory

1.7MiB live, 290.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	363
0	73	326
1	165	326
2	557	306
3	5331	306
0	8096	301

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

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

localize104.0ms (1.4%)

Memory

-5.4MiB live, 234.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.189785009768442	(pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
accuracy	5.328081652434322	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))) x.re))
accuracy	27.622611930586835	#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re))
accuracy	43.71562794323896	(/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
accuracy	0.12109375	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy	1.0163951941290215	(.f64 (.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
accuracy	5.328081652434322	(+.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (-.f64 x.re x.im)) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
accuracy	6.900133720351252	(/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (-.f64 x.re x.im))
accuracy	0.0	(*.f64 x.re x.im)
accuracy	0.12109375	(.f64 (.f64 x.re x.im) x.re)
accuracy	0.13671875	(.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
accuracy	27.622879209597652	#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.im) x.re) #s(literal 3 binary64)))
accuracy	0.0	(*.f64 x.re x.im)
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.185878759768442	(.f64 (.f64 x.re x.im) (*.f64 #s(literal 3 binary64) x.re))
accuracy	27.622879209597652	#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.im) (*.f64 #s(literal 3 binary64) x.re)))
accuracy	0.0859375	(.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.im))
accuracy	0.12109375	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy	0.26171875	(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im)
accuracy	5.328081652434322	(+.f64 (.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))

Samples

71.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 340 to 43 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 29.0ms (54.1% of total)

ival-add: 10.0ms (18.7% of total)

ival-div: 3.0ms (5.6% of total)

ival-pow: 3.0ms (5.6% of total)

adjust: 2.0ms (3.7% of total)

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

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

ival-pow2: 2.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory

1.1MiB live, 47.7MiB allocated

Counts

21 → 80

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

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

Calls

6 calls:

Time	Variable		Point	Expression
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)) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (sqrt x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.im) (* 3 x.re)) (* x.re x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.re x.im))) (- x.re x.im)) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.re x.im))) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.re x.im))) (* (- x.re x.im) x.im) (/ (* 2 (pow (* x.re x.im) 3)) (+ 0 (pow (* x.re x.im) 2))) (+ 0 (pow (* x.re x.im) 2)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (/ (* 2 (pow (* x.re x.im) 3)) (+ 0 (pow (* x.re x.im) 2))) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re) (pow (* x.re x.im) 2))
4.0ms	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)) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (sqrt x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.im) (* 3 x.re)) (* x.re x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.re x.im))) (- x.re x.im)) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.re x.im))) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.re x.im))) (* (- x.re x.im) x.im) (/ (* 2 (pow (* x.re x.im) 3)) (+ 0 (pow (* x.re x.im) 2))) (+ 0 (pow (* x.re x.im) 2)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (/ (* 2 (pow (* x.re x.im) 3)) (+ 0 (pow (* x.re x.im) 2))) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re) (pow (* x.re x.im) 2))
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)) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (sqrt x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.im) (* 3 x.re)) (* x.re x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.re x.im))) (- x.re x.im)) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.re x.im))) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.re x.im))) (* (- x.re x.im) x.im) (/ (* 2 (pow (* x.re x.im) 3)) (+ 0 (pow (* x.re x.im) 2))) (+ 0 (pow (* x.re x.im) 2)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (/ (* 2 (pow (* x.re x.im) 3)) (+ 0 (pow (* x.re x.im) 2))) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re) (pow (* x.re x.im) 2))
3.0ms	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)) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (sqrt x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.im) (* 3 x.re)) (* x.re x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.re x.im))) (- x.re x.im)) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.re x.im))) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.re x.im))) (* (- x.re x.im) x.im) (/ (* 2 (pow (* x.re x.im) 3)) (+ 0 (pow (* x.re x.im) 2))) (+ 0 (pow (* x.re x.im) 2)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (/ (* 2 (pow (* x.re x.im) 3)) (+ 0 (pow (* x.re x.im) 2))) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re) (pow (* x.re x.im) 2))
2.0ms	x.re	@	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)) (* (+ (* (sqrt x.re) (sqrt x.re)) x.im) (* (- x.re x.im) x.im)) (sqrt x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.im) (* 3 x.re)) (* x.re x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.re x.im))) (- x.re x.im)) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.re x.im))) (- x.re x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.re x.im))) (* (- x.re x.im) x.im) (/ (* 2 (pow (* x.re x.im) 3)) (+ 0 (pow (* x.re x.im) 2))) (+ 0 (pow (* x.re x.im) 2)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (/ (* 2 (pow (* x.re x.im) 3)) (+ 0 (pow (* x.re x.im) 2))) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re) (pow (* x.re x.im) 2))

simplify189.0ms (2.5%)

Memory

30.2MiB live, 315.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	309	1079
1	1241	857
2	5980	845
0	8604	819

Stop Event

1×	iter limit
1×	node limit

Counts

80 → 78

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

rewrite646.0ms (8.6%)

Memory

-123.4MiB live, 347.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	261
0	73	220
1	305	184
2	2083	170
0	9785	157

Stop Event

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

Counts

21 → 968

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

Outputs
(.f64 (/.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re)))
(.f64 (/.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) (-.f64 x.im x.re))
(*.f64 (-.f64 x.im x.re) (/.f64 (-.f64 x.re x.im) (-.f64 x.re x.im)))
(*.f64 (-.f64 x.re x.im) (/.f64 (-.f64 x.im x.re) (-.f64 x.re x.im)))
(/.f64 (-.f64 (.f64 (.f64 x.re x.re) (-.f64 x.re x.im)) (.f64 (-.f64 x.re x.im) (.f64 x.im x.im))) (pow.f64 (-.f64 x.re x.im) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 x.im (-.f64 x.im x.re) (.f64 x.re x.re)) (.f64 (fma.f64 x.im (-.f64 x.im x.re) (.f64 x.re x.re)) (pow.f64 x.im #s(literal 3 binary64)))) (.f64 (fma.f64 x.im (-.f64 x.im x.re) (.f64 x.re x.re)) (fma.f64 x.im (-.f64 x.im x.re) (.f64 x.re x.re))))
(/.f64 (fma.f64 (.f64 x.re x.re) (-.f64 x.re x.im) (.f64 (-.f64 x.re x.im) (*.f64 (neg.f64 x.im) x.im))) (pow.f64 (-.f64 x.re x.im) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (-.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 (-.f64 x.im x.re) (*.f64 x.re x.re))))
(/.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re))) (neg.f64 (-.f64 x.re x.im)))
(/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 x.re x.im))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (-.f64 x.re x.im)))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 x.re x.im)))
(/.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 (.f64 x.re 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.im (-.f64 x.im x.re) (*.f64 x.re x.re)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x.im))) (sqrt.f64 (neg.f64 (neg.f64 x.im))) x.re)
(fma.f64 (sqrt.f64 (neg.f64 x.im)) (sqrt.f64 (neg.f64 x.im)) x.re)
(fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) x.re)
(fma.f64 (sqrt.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (pow.f64 x.re #s(literal 1/4 binary64)) x.im)
(fma.f64 (pow.f64 (pow.f64 x.re #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x.re #s(literal 1/4 binary64)) x.im)
(fma.f64 (pow.f64 x.re #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x.re #s(literal 3/2 binary64))) x.im)
(fma.f64 (pow.f64 x.re #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x.re #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) x.im)
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.im)
(-.f64 (/.f64 (.f64 x.re x.re) (-.f64 x.re x.im)) (/.f64 (.f64 x.im x.im) (-.f64 x.re x.im)))
(-.f64 x.im x.re)
(+.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 x.im (-.f64 x.im x.re) (.f64 x.re x.re))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 x.im (-.f64 x.im x.re) (.f64 x.re x.re))))
(+.f64 (/.f64 (.f64 x.re x.re) (-.f64 x.re x.im)) (/.f64 (.f64 (neg.f64 x.im) x.im) (-.f64 x.re x.im)))
(+.f64 x.im x.re)
(+.f64 x.re x.im)
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) x.im) #s(literal 2 binary64)) (fma.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) x.im #s(literal 0 binary64))) (.f64 (fma.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (pow.f64 (fma.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.im #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (-.f64 x.re x.im) x.im)) (fma.f64 x.im x.im #s(literal 0 binary64))) (.f64 (fma.f64 x.im (-.f64 x.im x.re) (.f64 x.re x.re)) (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re))) (.f64 (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re)) (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (-.f64 x.re x.im) x.im)) (fma.f64 x.im x.im #s(literal 0 binary64))) (.f64 (fma.f64 x.im (-.f64 x.im x.re) (.f64 x.re x.re)) (.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))))) (.f64 (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re)) (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (-.f64 x.re x.im) x.im)) (.f64 x.im x.re)) (.f64 (fma.f64 x.im (-.f64 x.im x.re) (.f64 x.re x.re)) (/.f64 #s(literal 0 binary64) (.f64 x.im x.re)))) (.f64 (fma.f64 x.im (-.f64 x.im x.re) (.f64 x.re x.re)) (.f64 x.im x.re)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (-.f64 x.re x.im) x.im)) (.f64 x.im x.im)) (.f64 (fma.f64 x.im (-.f64 x.im x.re) (.f64 x.re x.re)) (/.f64 #s(literal 0 binary64) (.f64 x.re x.re)))) (.f64 (fma.f64 x.im (-.f64 x.im x.re) (.f64 x.re x.re)) (.f64 x.im x.im)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (-.f64 x.re x.im) x.im)) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64)))) (.f64 (fma.f64 x.im (-.f64 x.im x.re) (.f64 x.re x.re)) (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))))) (.f64 (fma.f64 x.im (-.f64 x.im x.re) (.f64 x.re x.re)) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (-.f64 x.re x.im) x.im)) (fma.f64 x.im x.im #s(literal 0 binary64))) (.f64 (fma.f64 x.im (-.f64 x.im x.re) (.f64 x.re x.re)) (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))))) (.f64 (fma.f64 x.im (-.f64 x.im x.re) (.f64 x.re x.re)) (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (-.f64 x.re x.im) x.im)) #s(literal 0 binary64)) (.f64 (fma.f64 x.im (-.f64 x.im x.re) (.f64 x.re x.re)) #s(literal 0 binary64))) (.f64 (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re)) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (-.f64 x.re x.im) x.im)) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))) (.f64 (fma.f64 x.im (-.f64 x.im x.re) (.f64 x.re x.re)) #s(literal 0 binary64))) (.f64 (fma.f64 x.im (-.f64 x.im x.re) (.f64 x.re x.re)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.im x.im #s(literal 0 binary64))) (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re))) (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.im x.im #s(literal 0 binary64))) (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))))) (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (.f64 x.im x.re)) (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (/.f64 #s(literal 0 binary64) (.f64 x.im x.re)))) (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (*.f64 x.im x.re)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (.f64 x.im x.im)) (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (/.f64 #s(literal 0 binary64) (.f64 x.re x.re)))) (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (*.f64 x.im x.im)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64)))) (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))))) (.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.im x.im #s(literal 0 binary64))) (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))))) (.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) #s(literal 0 binary64)) (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) #s(literal 0 binary64))) (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))) (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) #s(literal 0 binary64))) (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 x.im x.im #s(literal 0 binary64))) (.f64 (fma.f64 (.f64 x.im x.im) (fma.f64 x.im x.im (.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))) (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re))) (.f64 (fma.f64 (.f64 x.im x.im) (fma.f64 x.im x.im (.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 x.im x.im #s(literal 0 binary64))) (.f64 (fma.f64 (.f64 x.im x.im) (fma.f64 x.im x.im (.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))) (.f64 x.re (.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))))) (.f64 (fma.f64 (.f64 x.im x.im) (fma.f64 x.im x.im (.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (.f64 x.im x.re)) (.f64 (fma.f64 (.f64 x.im x.im) (fma.f64 x.im x.im (.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))) (/.f64 #s(literal 0 binary64) (.f64 x.im x.re)))) (.f64 (fma.f64 (.f64 x.im x.im) (fma.f64 x.im x.im (.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 x.im x.re)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (.f64 x.im x.im)) (.f64 (fma.f64 (.f64 x.im x.im) (fma.f64 x.im x.im (.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))) (/.f64 #s(literal 0 binary64) (.f64 x.re x.re)))) (.f64 (fma.f64 (.f64 x.im x.im) (fma.f64 x.im x.im (.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 x.im x.im)))
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(-.f64 (/.f64 (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) #s(literal 2 binary64)) (-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) #s(literal 0 binary64))))
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) #s(literal 0 binary64))
(+.f64 (/.f64 (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) #s(literal 3 binary64)) (fma.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re))) (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) #s(literal 2 binary64)))) (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re))) (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) #s(literal 2 binary64)))))
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re))
#s(literal 0 binary64)
(.f64 (neg.f64 (.f64 (neg.f64 x.im) x.re)) (neg.f64 (*.f64 (neg.f64 x.im) x.re)))
(.f64 (fabs.f64 (.f64 (*.f64 x.im x.re) x.im)) x.re)
(.f64 (pow.f64 (.f64 (*.f64 x.im x.re) x.im) #s(literal 1 binary64)) x.re)
(.f64 (pow.f64 (.f64 (*.f64 x.re x.re) (neg.f64 x.im)) #s(literal 1 binary64)) x.im)
(.f64 (pow.f64 (.f64 (neg.f64 x.im) x.re) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 x.im) x.re) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 x.im x.re) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 8 binary64)))
(.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) x.re)
(.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x.im x.re) #s(literal 3/2 binary64)) (.f64 x.re x.re)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 x.im x.re) #s(literal 3/2 binary64)) (*.f64 x.im x.im)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.re)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) (.f64 x.re x.re)) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 x.im x.re) (*.f64 x.im x.im)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 x.im x.re) (.f64 x.re x.re)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) (*.f64 x.im x.im)) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 x.im x.re) x.im) x.re)
(.f64 (.f64 (*.f64 x.re x.re) (neg.f64 x.im)) (neg.f64 x.im))
(.f64 (.f64 (neg.f64 x.im) x.re) (*.f64 (neg.f64 x.im) x.re))
(.f64 (.f64 (neg.f64 x.im) x.re) (*.f64 x.im x.re))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)))
(.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 (pow.f64 (*.f64 x.im x.re) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 x.im x.re) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 x.im x.re) x.re) x.im)
(.f64 (.f64 x.im x.re) (*.f64 (neg.f64 x.im) x.re))
(.f64 (.f64 x.im x.re) (*.f64 x.im x.re))
(.f64 (.f64 x.im x.im) (*.f64 x.re x.re))
(.f64 (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(.f64 (.f64 x.re x.re) (*.f64 x.im x.im))
(.f64 x.im (.f64 (*.f64 x.im x.re) x.re))
(.f64 x.re (fabs.f64 (.f64 x.im (*.f64 x.im x.re))))
(.f64 x.re (pow.f64 (.f64 x.im (*.f64 x.im x.re)) #s(literal 1 binary64)))
(.f64 x.re (pow.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal 1 binary64)))
(.f64 x.re (.f64 x.im (*.f64 x.im x.re)))
(.f64 x.re (.f64 x.re (*.f64 x.im x.im)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 x.im x.re)))
(pow.f64 (*.f64 (neg.f64 x.im) x.re) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 8 binary64))) (pow.f64 (.f64 x.im x.re) #s(literal 6 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 10 binary64))) (pow.f64 (.f64 x.im x.re) #s(literal 8 binary64)))
(/.f64 (fabs.f64 (pow.f64 (.f64 x.im x.re) #s(literal 6 binary64))) (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 6 binary64))) (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64)))
(/.f64 (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)))
(/.f64 (pow.f64 (.f64 x.im x.re) #s(literal 6 binary64)) (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64)))
(/.f64 (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)) (.f64 x.im x.re))
(neg.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (.f64 (neg.f64 x.im) x.re)) (neg.f64 (.f64 (neg.f64 x.im) x.re)) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (.f64 (.f64 x.im x.re) x.im)) x.re #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 (.f64 x.im x.re) x.im) #s(literal 1 binary64)) x.re #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 (.f64 x.re x.re) (neg.f64 x.im)) #s(literal 1 binary64)) x.im #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 (neg.f64 x.im) x.re) #s(literal 1 binary64)) (pow.f64 (.f64 (neg.f64 x.im) x.re) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (.f64 x.im x.re) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x.im x.re) #s(literal 8 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) x.re #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x.im x.re) #s(literal 3/2 binary64)) (.f64 x.re x.re)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 x.im x.re) #s(literal 3/2 binary64)) (.f64 x.im x.im)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.re)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) (.f64 x.re x.re)) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 x.im x.re) (.f64 x.im x.im)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (.f64 x.im x.re) (.f64 x.re x.re)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) (.f64 x.im x.im)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x.im x.re) x.im) x.re #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x.re x.re) (neg.f64 x.im)) (neg.f64 x.im) #s(literal 0 binary64))
(fma.f64 (.f64 (neg.f64 x.im) x.re) (.f64 (neg.f64 x.im) x.re) #s(literal 0 binary64))
(fma.f64 (.f64 (neg.f64 x.im) x.re) (.f64 x.im x.re) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 (pow.f64 (.f64 x.im x.re) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 (pow.f64 (.f64 x.im x.re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x.im x.re) x.re) x.im #s(literal 0 binary64))
(fma.f64 (.f64 x.im x.re) (.f64 (neg.f64 x.im) x.re) #s(literal 0 binary64))
(fma.f64 (.f64 x.im x.re) (.f64 x.im x.re) #s(literal 0 binary64))
(fma.f64 (.f64 x.im x.im) (.f64 x.re x.re) #s(literal 0 binary64))
(fma.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im) #s(literal 0 binary64))
(fma.f64 (.f64 x.re x.re) (.f64 x.im x.im) #s(literal 0 binary64))
(fma.f64 x.im (.f64 (.f64 x.im x.re) x.re) #s(literal 0 binary64))
(fma.f64 x.re (fabs.f64 (.f64 x.im (.f64 x.im x.re))) #s(literal 0 binary64))
(fma.f64 x.re (pow.f64 (.f64 x.im (.f64 x.im x.re)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x.re (pow.f64 (.f64 x.re (.f64 x.im x.im)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x.re (.f64 x.im (.f64 x.im x.re)) #s(literal 0 binary64))
(fma.f64 x.re (.f64 x.re (.f64 x.im x.im)) #s(literal 0 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)))
(-.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
(fabs.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
(exp.f64 (-.f64 (log.f64 (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))) (log.f64 (.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 (log.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 (.f64 x.im x.re)) #s(literal 2 binary64) (log.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))))))
(exp.f64 (-.f64 (.f64 (log.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (log.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))

eval134.0ms (1.8%)

Memory: 17.4MiB live, 154.7MiB allocated
Compiler: Compiled 29 818 to 3 091 computations (89.6% saved)

prune31.0ms (0.4%)

Memory

19.5MiB live, 71.4MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	823	4	827
Fresh	0	3	3
Picked	3	2	5
Done	0	5	5
Total	826	14	840

Accuracy

100.0%

Counts

840 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.0%	(fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im))
	37.3%	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) #s(literal 0 binary64))
	28.7%	(+.f64 (/.f64 (/.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (neg.f64 (.f64 (-.f64 x.re x.im) x.im)) (fma.f64 x.im x.im (.f64 x.re x.re)))) (.f64 (-.f64 x.im x.re) (neg.f64 (-.f64 x.re x.im)))) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
✓	91.6%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
	63.3%	#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 (.f64 #s(literal 3 binary64) x.re) x.im) (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 (sqrt.f64 (.f64 x.im x.re)) (sqrt.f64 (*.f64 x.im x.re))) x.re) #s(literal 3 binary64)))
✓	56.7%	#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.im) x.re) #s(literal 3 binary64)))
✓	56.7%	#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.im) #s(literal 3 binary64)) x.re))
	56.7%	#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 #s(literal 3 binary64)) x.re) x.re))
✓	50.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) x.im))
✓	56.7%	#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.im) (*.f64 #s(literal 3 binary64) x.re)))
✓	89.3%	#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)))))
✓	63.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))

Compiler

Compiled 1 049 to 338 computations (67.8% saved)

regimes24.0ms (0.3%)

Memory

-8.1MiB live, 38.7MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

8.0ms	(+.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))
8.0ms	x.im
7.0ms	x.re

Results

Accuracy	Segments	Branch
95.5%	2	`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)

regimes9.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.5%	3	`x.im`
99.8%	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 20 to 13 computations (35% saved)

regimes4.0ms (0.1%)

Memory

-40.0MiB live, 6.7MiB 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 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) #s(literal 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.re x.im) (*.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 (*.f64 #s(literal 3 binary64) 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 #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 #s(literal 3 binary64)) x.re) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) #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.im) x.re) #s(literal 3 binary64)))
(fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) x.im))

Outputs

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

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
99.7%	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)

regimes9.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
84.6%	2	`x.re`
82.9%	2	`x.im`
97.0%	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)

regimes4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.5%	2	`x.im`
73.4%	2	`x.re`
77.6%	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)

regimes4.0ms (0%)

Memory

8.6MiB live, 8.6MiB 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 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
63.3%	1	`x.im`
63.3%	1	`x.re`
63.3%	1	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	6.861973113147781e-308	2.1489059337690456e-295

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.0416699021124557e-289	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.0416699021124557e-289	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	-1.0416699021124557e-289	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify58.0ms (0.8%)

Memory

-22.9MiB live, 76.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	526
1	117	508
2	270	508
3	791	476
4	1963	476
5	5847	476

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 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) 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 5060056332682765/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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))))) (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.re x.im) (.f64 #s(literal 3 binary64) x.re))) (fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) 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 -4388899255034951/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 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) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 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.re x.im) (.f64 #s(literal 3 binary64) x.re))) (fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) 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 -4388899255034951/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 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) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 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.re x.im) (.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) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 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 -4388899255034951/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 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) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 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)) (-.f64 #s(approx ( (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) #s(literal 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 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 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 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)) (.f64 #s(literal 2 binary64) 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 5060056332682765/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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))))) (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.re x.im) (.f64 #s(literal 3 binary64) x.re))) (fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) 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 -4388899255034951/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 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) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 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.re x.im) (.f64 #s(literal 3 binary64) x.re))) (fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) 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 -4388899255034951/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 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) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 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.re x.im) (.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) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 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 -4388899255034951/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 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 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.im) (*.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 -4388899255034951/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 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) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 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)) (-.f64 #s(approx ( (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) #s(literal 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 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 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 -4388899255034951/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 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 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im 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) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))

soundness1.3s (17.8%)

Memory

84.9MiB live, 931.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	261
0	73	220
1	305	184
2	2083	170
0	9785	157
0	177	795
1	667	624
2	2760	560
0	8584	551
0	57	215
1	202	207
2	773	206
3	4378	206
0	8308	201
0	38	238
0	58	238
1	220	210
2	1510	210
0	8494	199
0	45	270
0	70	238
1	260	210
2	1829	210
0	8599	202
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
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 962 to 294 computations (69.4% saved)

preprocess115.0ms (1.5%)

Memory: 5.2MiB live, 187.9MiB allocated
Remove: (abs x.re)
Compiler: Compiled 1 804 to 426 computations (76.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (19.1%)

explain178.0ms (2.4%)

preprocess209.0ms (2.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify198.0ms (2.6%)

localize62.0ms (0.8%)

series13.0ms (0.2%)

simplify220.0ms (2.9%)

rewrite107.0ms (1.4%)

eval12.0ms (0.2%)

prune5.0ms (0.1%)

simplify266.0ms (3.5%)

localize169.0ms (2.2%)

series21.0ms (0.3%)

simplify180.0ms (2.4%)

rewrite292.0ms (3.9%)

eval77.0ms (1%)

prune20.0ms (0.3%)

simplify115.0ms (1.5%)

localize149.0ms (2%)

series19.0ms (0.3%)

simplify160.0ms (2.1%)

rewrite287.0ms (3.8%)

eval127.0ms (1.7%)

prune182.0ms (2.4%)

simplify335.0ms (4.4%)

localize104.0ms (1.4%)

series20.0ms (0.3%)

simplify189.0ms (2.5%)

rewrite646.0ms (8.6%)

eval134.0ms (1.8%)

prune31.0ms (0.4%)

regimes24.0ms (0.3%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify58.0ms (0.8%)

soundness1.3s (17.8%)

preprocess115.0ms (1.5%)

end0.0ms (0%)

Profiling