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)

sample1.2s (17.3%)

Memory

38.9MiB live, 1 347.3MiB allocated

Samples

965.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 651.0ms

ival-mult: 486.0ms (74.7% of total)

ival-add: 95.0ms (14.6% of total)

ival-sub: 62.0ms (9.5% of total)

ival-true: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain191.0ms (2.7%)

Memory

-41.8MiB live, 263.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
22	-	-	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
12	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`
12	-	-	`(-.f64 (.f64 x.re x.re) (.f64 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	22	0
↳	`(*.f64 x.re x.re)`	overflow	55
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	97
↳	`(*.f64 x.im x.im)`	overflow	54
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	overflow	100
↳	`(*.f64 x.im x.re)`	overflow	25
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`	overflow	60
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	25
↳	`(*.f64 x.re x.im)`	overflow	25
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	*no**	12	0
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	12	0
↳	`(*.f64 x.re x.re)`	overflow	55
↳	`(*.f64 x.im x.im)`	overflow	54

Confusion

	Predicted +	Predicted -
+	40	0
-	0	216

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	40	0	0
-	0	0	216

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	216
1	34
2	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

66.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 29.0ms (75.1% of total)

ival-sub: 5.0ms (13% of total)

ival-add: 4.0ms (10.4% of total)

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

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

preprocess263.0ms (3.8%)

Memory

-3.4MiB live, 234.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	107
1	99	89
2	300	85
3	1273	57
4	3603	55
5	5588	55
6	6486	55
7	6869	55
8	6989	55
9	7093	55
10	7100	55
0	11	19
0	20	19
1	34	17
2	69	17
3	155	11
4	367	11
5	1039	11
6	1954	11
7	5177	11
8	7566	11
0	8011	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 (neg.f64 x.im) x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) x.im)

Symmetry

(abs x.re)

(negabs x.im)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.5%	(+.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)

simplify239.0ms (3.4%)

Memory

14.0MiB live, 173.3MiB 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	34	59
2	69	59
3	155	53
4	367	53
5	1039	53
6	1954	53
7	5177	53
8	7566	53
0	8011	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 (neg.f64 x.im) x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) x.im)
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.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)

localize36.0ms (0.5%)

Memory

-9.5MiB live, 29.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.125	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	2.6953001149812352	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	2.8777654138691533	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy	5.5780795882645275	(+.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

28.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

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

ival-mult: 8.0ms (67.6% of total)

ival-add: 2.0ms (16.9% of total)

ival-sub: 1.0ms (8.5% of total)

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

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

series12.0ms (0.2%)

Memory

18.3MiB live, 18.3MiB 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))

simplify274.0ms (3.9%)

Memory

-1.5MiB live, 161.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	198
1	182	192
2	585	192
3	2569	192
4	7315	192
0	8104	187

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

rewrite86.0ms (1.2%)

Memory

-0.3MiB live, 84.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
0	20	51
1	79	39
0	540	38

Stop Event

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

Counts

5 → 77

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

eval47.0ms (0.7%)

Memory: -30.0MiB live, 9.2MiB allocated
Compiler: Compiled 2 351 to 322 computations (86.3% saved)

prune6.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	82	8	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	8	91

Accuracy

100.0%

Counts

91 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.9%	(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (neg.f64 x.im) x.im))) (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	84.5%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #s(approx ( (+ (* x.re x.im) (* x.im x.re)) x.re) (.f64 (.f64 (*.f64 x.re x.re) #s(literal 2 binary64)) x.im)))
▶	50.3%	(+.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))
	69.2%	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im 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)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	54.6%	(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (.f64 (.f64 x.im x.re) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	50.3%	#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) #s(literal 3 binary64)) x.im))
▶	93.1%	#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 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
▶	61.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))

Compiler

Compiled 446 to 250 computations (43.9% saved)

simplify178.0ms (2.5%)

Memory

34.2MiB live, 106.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	369
0	65	365
1	128	327
2	271	317
3	806	295
4	2671	295
5	5091	295
0	8034	289

Stop Event

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

Calls

Call 1

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

localize255.0ms (3.6%)

Memory

-37.7MiB live, 87.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	2.8777654138691533	(.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (neg.f64 x.im) x.im))) (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))) x.im)
accuracy	5.5780795882645275	(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (neg.f64 x.im) x.im))) (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) x.im))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy	6.941367030773911	(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im)))
accuracy	40.51851132789552	(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (neg.f64 x.im) x.im))) (-.f64 (.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))
accuracy	0.0	(pow.f64 x.im #s(literal 3 binary64))
accuracy	0.0	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
accuracy	24.609418849783765	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
accuracy	0.125	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	2.8777654138691533	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
accuracy	5.5780795882645275	(+.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	31.33108543189895	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
accuracy	0.0	(*.f64 x.re x.re)
accuracy	0.15234375	(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
accuracy	5.72201675421436	(.f64 (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)
accuracy	28.982086272091394	#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) #s(literal 3 binary64)) 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 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
accuracy	0.15234375	(.f64 #s(literal -3 binary64) (.f64 x.re x.re))
accuracy	1.4999834856333614	(fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re)))
accuracy	2.890586041597094	(.f64 (neg.f64 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im)

Samples

175.0ms

256×

valid

Compiler

Compiled 337 to 33 computations (90.2% saved)

Precisions

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

ival-mult: 18.0ms (50.1% of total)

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

ival-add: 4.0ms (11.1% of total)

ival-sub: 3.0ms (8.3% of total)

ival-neg: 3.0ms (8.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.4%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

23 → 52

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

Outputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* -1 (pow x.im 2))
(- (* 3 (pow x.re 2)) (pow x.im 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))
(pow x.re 2)
(* 2 (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(- (pow x.re 2) (pow x.im 2))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(- (pow x.re 2) (* -1 (pow x.im 2)))
(* -3 (pow x.re 2))
(* 2 (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* -1 (pow x.im 4))
(- (pow x.re 4) (pow x.im 4))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* 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) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(- (* -1 (pow x.im 2)) (* -3 (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.im 3)
(pow x.im 4)
(+ (pow x.im 2) (pow x.re 2))
(+ (* -1 (pow x.im 4)) (pow x.re 4))
(* (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) (- (* 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))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 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
7.0ms	x.im	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* 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) 3) x.im) (* (* x.re x.re) 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.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.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (* (* (neg x.im) x.im) (* (neg x.im) x.im)) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im))
4.0ms	x.im	@	-inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* 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) 3) x.im) (* (* x.re x.re) 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.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.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (* (* (neg x.im) x.im) (* (neg x.im) x.im)) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im))
4.0ms	x.re	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* 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) 3) x.im) (* (* x.re x.re) 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.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.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (* (* (neg x.im) x.im) (* (neg x.im) x.im)) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im))
4.0ms	x.re	@	0	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* 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) 3) x.im) (* (* x.re x.re) 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.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.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (* (* (neg x.im) x.im) (* (neg x.im) x.im)) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im))
4.0ms	x.im	@	0	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* 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) 3) x.im) (* (* x.re x.re) 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.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.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (* (* (neg x.im) x.im) (* (neg x.im) x.im)) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im))

simplify288.0ms (4.1%)

Memory

0.5MiB live, 79.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	426
1	341	405
2	938	405
3	4839	405
0	8466	398

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 52

Calls

Call 1

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

rewrite292.0ms (4.2%)

Memory

16.7MiB live, 127.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	310
0	65	290
1	247	223
2	1673	222
0	8515	211

Stop Event

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

Counts

23 → 949

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

eval308.0ms (4.4%)

Memory: -24.5MiB live, 133.9MiB allocated
Compiler: Compiled 40 631 to 3 621 computations (91.1% saved)

prune84.0ms (1.2%)

Memory

-2.9MiB live, 48.1MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	999	9	1 008
Fresh	3	0	3
Picked	3	2	5
Done	0	0	0
Total	1 005	11	1 016

Accuracy

100.0%

Counts

1 016 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.0%	(+.f64 (.f64 (.f64 (/.f64 x.im (fma.f64 x.im x.im (.f64 x.re x.re))) (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	90.7%	#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) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im)))))
▶	93.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im))
✓	50.3%	#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) #s(literal 3 binary64)) x.im))
	61.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
	50.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
▶	50.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)))
	54.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
▶	20.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) x.im))
▶	54.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)))
✓	61.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))

Compiler

Compiled 563 to 323 computations (42.6% saved)

simplify150.0ms (2.1%)

Memory

31.4MiB live, 70.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	263
0	50	259
1	92	245
2	164	245
3	345	215
4	766	215
5	1779	215
6	3013	215
7	5645	215
0	8249	215

Stop Event

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

Calls

Call 1

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

localize148.0ms (2.1%)

Memory

-8.7MiB live, 69.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
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) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im)))))
accuracy	0.18376716452874398	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im)))
accuracy	2.7734251149812352	(fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im))
accuracy	2.826529985609015	(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im))))
accuracy	0.0	(*.f64 x.re x.re)
accuracy	0.14453125	(.f64 (.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))
accuracy	5.730279422885723	(.f64 x.im (.f64 x.re x.re))
accuracy	28.982086272091394	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)))
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.12890625	(.f64 x.re (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im))
accuracy	0.43106889689635997	(.f64 (.f64 #s(literal 3 binary64) x.re) x.im)
accuracy	28.982086272091394	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)))
accuracy	0.0	(*.f64 x.im x.im)
accuracy	0.10546875	(.f64 (.f64 x.im x.im) x.im)
accuracy	51.179032792930116	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) x.im))
accuracy	0.0	(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 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im))
accuracy	1.5859209856333614	(fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (.f64 (neg.f64 x.im) x.im))
accuracy	2.890586041597094	(.f64 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im)

Samples

78.0ms

256×

valid

Compiler

Compiled 222 to 31 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 22.0ms (69.1% of total)

ival-add: 4.0ms (12.6% of total)

ival-div: 3.0ms (9.4% of total)

ival-sub: 1.0ms (3.1% of total)

ival-neg: 1.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

19 → 44

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

Outputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(* 3 x.re)
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* x.im (pow x.re 2))
(pow x.re 2)
(/ 1 (pow x.im 2))
(+ (* 3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(+ (* (pow x.re 2) (+ (* 9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(+ (* (pow x.re 2) (+ (* (pow x.re 2) (+ (* 27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(pow x.im 2)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(/ -1/3 (pow x.re 2))
(/ (- (* -1/9 (/ (pow x.im 2) (pow x.re 2))) 1/3) (pow x.re 2))
(/ (- (* -1/27 (/ (pow x.im 4) (pow x.re 4))) (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))
(/ (- (* -1/81 (/ (pow x.im 6) (pow x.re 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.im 4) (pow x.re 4))) (* 1/9 (/ (pow x.im 2) (pow x.re 2)))))) (pow x.re 2))
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(pow x.im 3)
(* -1 x.im)
(- (* -1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))
(- (* (pow x.im 2) (- (* -1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(- (* (pow x.im 2) (- (* (pow x.im 2) (- (* -1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(/ (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ 1 (* 9 (/ (pow x.re 4) (pow x.im 4)))) (* -3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ 1 (* 27 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* -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))))))

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)) (* (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) x.im) (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) (* 3 x.re) (* (* x.im x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.im x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* (* 3 x.re) x.im)) (* (* 3 x.re) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im (* x.re x.re)) 3) (* x.im (* x.re x.re)) (* x.re x.re) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* 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) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))) (+ (* (* x.re x.re) -3) (* x.im x.im)))
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)) (* (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) x.im) (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) (* 3 x.re) (* (* x.im x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.im x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* (* 3 x.re) x.im)) (* (* 3 x.re) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im (* x.re x.re)) 3) (* x.im (* x.re x.re)) (* x.re x.re) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* 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) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))) (+ (* (* x.re x.re) -3) (* x.im x.im)))
3.0ms	x.re	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) x.im) (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) (* 3 x.re) (* (* x.im x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.im x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* (* 3 x.re) x.im)) (* (* 3 x.re) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im (* x.re x.re)) 3) (* x.im (* x.re x.re)) (* x.re x.re) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* 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) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))) (+ (* (* x.re x.re) -3) (* x.im x.im)))
3.0ms	x.im	@	0	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) x.im) (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) (* 3 x.re) (* (* x.im x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.im x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* (* 3 x.re) x.im)) (* (* 3 x.re) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im (* x.re x.re)) 3) (* x.im (* x.re x.re)) (* x.re x.re) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* 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) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))) (+ (* (* x.re x.re) -3) (* x.im x.im)))
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)) (* (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) x.im) (+ (* (* 3 x.re) x.re) (* (neg x.im) x.im)) (* 3 x.re) (* (* x.im x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.im x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* (* 3 x.re) x.im)) (* (* 3 x.re) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.im (* x.re x.re)) 3) (* x.im (* x.re x.re)) (* x.re x.re) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* 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) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))) (+ (* (* x.re x.re) -3) (* x.im x.im)))

simplify263.0ms (3.7%)

Memory

-16.4MiB live, 93.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	554
1	451	541
2	1323	541
3	5003	541
0	8189	514

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 44

Calls

Call 1

Inputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(* 3 x.re)
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* x.im (pow x.re 2))
(pow x.re 2)
(/ 1 (pow x.im 2))
(+ (* 3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(+ (* (pow x.re 2) (+ (* 9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(+ (* (pow x.re 2) (+ (* (pow x.re 2) (+ (* 27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(pow x.im 2)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(/ -1/3 (pow x.re 2))
(/ (- (* -1/9 (/ (pow x.im 2) (pow x.re 2))) 1/3) (pow x.re 2))
(/ (- (* -1/27 (/ (pow x.im 4) (pow x.re 4))) (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))
(/ (- (* -1/81 (/ (pow x.im 6) (pow x.re 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.im 4) (pow x.re 4))) (* 1/9 (/ (pow x.im 2) (pow x.re 2)))))) (pow x.re 2))
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(pow x.im 3)
(* -1 x.im)
(- (* -1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))
(- (* (pow x.im 2) (- (* -1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(- (* (pow x.im 2) (- (* (pow x.im 2) (- (* -1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(/ (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ 1 (* 9 (/ (pow x.re 4) (pow x.im 4)))) (* -3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ 1 (* 27 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* -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))))))

Outputs
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(fma.f64 (neg.f64 x.im) x.im (.f64 (.f64 x.re x.re) #s(literal 3 binary64)))
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 (* x.im (pow x.re 2)))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
(* 3 (* x.im x.re))
(.f64 (.f64 #s(literal 3 binary64) x.re) x.im)
(* x.im (pow x.re 2))
(.f64 (.f64 x.re x.re) x.im)
(pow x.re 2)
(*.f64 x.re x.re)
(/ 1 (pow x.im 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))
(+ (* 3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (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)) (.f64 x.im x.im))
(+ (* (pow x.re 2) (+ (* 9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(fma.f64 (fma.f64 (.f64 #s(literal 9 binary64) x.re) (/.f64 x.re (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 x.re x.re) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))
(+ (* (pow x.re 2) (+ (* (pow x.re 2) (+ (* 27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 27 binary64) x.re) (/.f64 x.re (pow.f64 x.im #s(literal 8 binary64))) (/.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 x.re x.re) (/.f64 #s(literal 1 binary64) (.f64 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))
(* (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 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* 3 (pow x.re 2))
(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 (neg.f64 x.im) x.im (.f64 (.f64 x.re x.re) #s(literal 3 binary64)))
(/ -1/3 (pow x.re 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 x.re x.re))
(/ (- (* -1/9 (/ (pow x.im 2) (pow x.re 2))) 1/3) (pow x.re 2))
(fma.f64 (.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x.re #s(literal 4 binary64))) x.im) x.im (/.f64 #s(literal -1/3 binary64) (.f64 x.re x.re)))
(/ (- (* -1/27 (/ (pow x.im 4) (pow x.re 4))) (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))
(/.f64 (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) (/.f64 #s(literal -1/27 binary64) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -1/9 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re) #s(literal -1/3 binary64))) (.f64 x.re x.re))
(/ (- (* -1/81 (/ (pow x.im 6) (pow x.re 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.im 4) (pow x.re 4))) (* 1/9 (/ (pow x.im 2) (pow x.re 2)))))) (pow x.re 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) #s(literal -1/81 binary64) (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) (/.f64 #s(literal -1/27 binary64) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -1/9 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re) #s(literal -1/3 binary64)))) (.f64 x.re x.re))
(* -3 (pow x.re 2))
(.f64 #s(literal -3 binary64) (.f64 x.re x.re))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(.f64 (fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #s(literal -3 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 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(pow x.im 3)
(pow.f64 x.im #s(literal 3 binary64))
(* -1 x.im)
(neg.f64 x.im)
(- (* -1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))
(fma.f64 (.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x.re #s(literal 4 binary64))) x.im) x.im (/.f64 #s(literal -1/3 binary64) (.f64 x.re x.re)))
(- (* (pow x.im 2) (- (* -1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 x.re #s(literal 6 binary64))) x.im) x.im (/.f64 #s(literal -1/9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 #s(literal -1/3 binary64) (*.f64 x.re x.re)))
(- (* (pow x.im 2) (- (* (pow x.im 2) (- (* -1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/81 binary64) x.im) (/.f64 x.im (pow.f64 x.re #s(literal 8 binary64))) (/.f64 #s(literal -1/27 binary64) (pow.f64 x.re #s(literal 6 binary64)))) (.f64 x.im x.im) (/.f64 #s(literal -1/9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 #s(literal -1/3 binary64) (.f64 x.re 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 (neg.f64 x.im) x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(fma.f64 (neg.f64 x.im) x.im (.f64 (.f64 x.re x.re) #s(literal 3 binary64)))
(/ (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 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)) (.f64 x.im x.im))
(/ (- (+ 1 (* 9 (/ (pow x.re 4) (pow x.im 4)))) (* -3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/.f64 (fma.f64 (.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 1 binary64))) (.f64 x.im x.im))
(/ (- (+ 1 (* 27 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/.f64 (fma.f64 (.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) (fma.f64 (pow.f64 x.re #s(literal 6 binary64)) (/.f64 #s(literal 27 binary64) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 1 binary64)))) (.f64 x.im x.im))
(* (pow x.im 2) (+ 1 (* -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) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)

rewrite178.0ms (2.5%)

Memory

-5.7MiB live, 85.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	234
0	50	230
1	173	206
0	1083	201

Stop Event

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

Counts

19 → 189

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 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im))
(.f64 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im)
(fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (.f64 (neg.f64 x.im) x.im))
(*.f64 #s(literal 3 binary64) x.re)
(.f64 (.f64 x.im x.im) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) x.im))
(*.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 x.re (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)))
(.f64 x.re (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im))
(.f64 (.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 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)))
(.f64 (.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))
(.f64 x.im (.f64 x.re x.re))
(*.f64 x.re x.re)
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.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) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im)))))
(neg.f64 x.im)
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im)))
(fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.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 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im))
(.f64 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im)
(.f64 x.im (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (.f64 x.im x.im)))
(/.f64 (.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (neg.f64 (pow.f64 x.im #s(literal 6 binary64)))) x.im) (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 (neg.f64 x.im) x.im)))))
(/.f64 (.f64 x.im (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (.f64 x.im x.im)))
(/.f64 (.f64 x.im (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (neg.f64 (pow.f64 x.im #s(literal 6 binary64))))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 (neg.f64 x.im) x.im)))))
(fma.f64 (.f64 #s(literal 3 binary64) x.im) (.f64 x.re x.re) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 (.f64 #s(literal 3 binary64) x.im) (.f64 x.re x.re) (.f64 x.im (.f64 (neg.f64 x.im) x.im)))
(fma.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) x.im (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) x.im (.f64 x.im (.f64 (neg.f64 x.im) x.im)))
(fma.f64 (.f64 (.f64 x.re x.re) x.im) #s(literal 3 binary64) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 (.f64 (.f64 x.re x.re) x.im) #s(literal 3 binary64) (.f64 x.im (.f64 (neg.f64 x.im) x.im)))
(fma.f64 (.f64 x.re x.re) (.f64 x.im #s(literal 3 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 (.f64 x.re x.re) (.f64 x.im #s(literal 3 binary64)) (.f64 x.im (.f64 (neg.f64 x.im) x.im)))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) x.re (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) x.re (.f64 x.im (.f64 (neg.f64 x.im) x.im)))
(fma.f64 (.f64 (neg.f64 x.im) x.im) x.im (.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) x.re))
(fma.f64 (.f64 #s(literal 3 binary64) x.re) (.f64 x.im x.re) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 (.f64 #s(literal 3 binary64) x.re) (.f64 x.im x.re) (.f64 x.im (.f64 (neg.f64 x.im) x.im)))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x.re x.re) x.im) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x.re x.re) x.im) (.f64 x.im (.f64 (neg.f64 x.im) x.im)))
(fma.f64 (.f64 x.im x.re) (.f64 #s(literal 3 binary64) x.re) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 (.f64 x.im x.re) (.f64 #s(literal 3 binary64) x.re) (.f64 x.im (.f64 (neg.f64 x.im) x.im)))
(fma.f64 x.im (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 x.im (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 x.im (.f64 (neg.f64 x.im) x.im)))
(fma.f64 x.im (.f64 (neg.f64 x.im) x.im) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) x.re))
(fma.f64 x.re (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 x.re (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) (.f64 x.im (.f64 (neg.f64 x.im) x.im)))
(+.f64 (.f64 (.f64 (neg.f64 x.im) x.im) x.im) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
(+.f64 (.f64 x.im (.f64 (neg.f64 x.im) x.im)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
(+.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) x.re) (.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(+.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) x.re) (.f64 x.im (*.f64 (neg.f64 x.im) x.im)))
(.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (.f64 x.im x.im))))
(.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (neg.f64 (pow.f64 x.im #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 (neg.f64 x.im) x.im))))))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (-.f64 (.f64 (neg.f64 x.im) x.im) (.f64 (.f64 x.re x.re) #s(literal 3 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (neg.f64 (pow.f64 x.im #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 (neg.f64 x.im) x.im))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))) (neg.f64 (fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (*.f64 x.im x.im))))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (*.f64 x.im x.im)))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (neg.f64 (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 (neg.f64 x.im) x.im)))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (neg.f64 (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 (neg.f64 x.im) x.im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (.f64 x.im x.im)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (.f64 (neg.f64 x.im) x.im)))) (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (neg.f64 (pow.f64 x.im #s(literal 6 binary64))))))
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eval42.0ms (0.6%)

Memory: 13.3MiB live, 49.8MiB allocated
Compiler: Compiled 8 438 to 831 computations (90.2% saved)

prune42.0ms (0.6%)

Memory

2.3MiB live, 39.6MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	228	6	234
Fresh	2	2	4
Picked	3	2	5
Done	0	2	2
Total	233	12	245

Accuracy

100.0%

Counts

245 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.8%	#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) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #s(literal -3 binary64)) (.f64 x.re x.re))))))
▶	61.4%	#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) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im)))))
	90.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im))) x.im)))
▶	93.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x.im))) x.im)) x.im))
✓	93.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im))
✓	50.3%	#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) #s(literal 3 binary64)) x.im))
	54.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)))
▶	61.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
▶	50.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
	54.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
✓	20.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) x.im))
✓	61.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))

Compiler

Compiled 629 to 367 computations (41.7% saved)

simplify380.0ms (5.4%)

Memory

-6.7MiB live, 178.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 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) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #s(literal -3 binary64)) (.f64 x.re x.re))))))
cost-diff	2	(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #s(literal -3 binary64)) (.f64 x.re x.re)))))
cost-diff	4	(.f64 (fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #s(literal -3 binary64)) (.f64 x.re x.re))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im)))
cost-diff	0	(neg.f64 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) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im)))))
cost-diff	2	(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im))))
cost-diff	0	(*.f64 x.im #s(literal 3 binary64))
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
cost-diff	0	(neg.f64 x.im)
cost-diff	0	(*.f64 (neg.f64 x.im) x.im)
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
cost-diff	2	(.f64 (.f64 (neg.f64 x.im) x.im) x.im)
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x.im))) 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 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x.im))) x.im)) x.im))
cost-diff	1	(/.f64 #s(literal 1 binary64) (neg.f64 x.im))
cost-diff	3	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x.im)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	420
0	68	400
1	126	381
2	251	377
3	643	347
4	1419	332
5	3220	332
6	5269	332
0	8148	319

Stop Event

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

Calls

Call 1

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

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

localize137.0ms (2%)

Memory

23.5MiB live, 190.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.18376716452874398	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #s(literal -3 binary64)) (.f64 x.re x.re))))
accuracy	1.217052710869552	(fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #s(literal -3 binary64))
accuracy	2.826529985609015	(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #s(literal -3 binary64)) (.f64 x.re x.re)))))
accuracy	14.802180522725125	(.f64 (fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #s(literal -3 binary64)) (.f64 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) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im)))))
accuracy	0.18376716452874398	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im)))
accuracy	2.826529985609015	(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im))))
accuracy	27.510442504670717	#s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im))
accuracy	0.0	(*.f64 x.re x.re)
accuracy	0.0	(*.f64 x.im #s(literal 3 binary64))
accuracy	5.765973795552939	(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
accuracy	28.982086272091394	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
accuracy	0.0	(*.f64 (neg.f64 x.im) x.im)
accuracy	0.0	(neg.f64 x.im)
accuracy	0.10546875	(.f64 (.f64 (neg.f64 x.im) x.im) x.im)
accuracy	24.609418849783765	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
accuracy	0.0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x.im))) x.im)) x.im))
accuracy	0.17578125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x.im)))
accuracy	1.5859209856333614	(fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x.im))) x.im))
accuracy	2.890586041597094	(.f64 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x.im))) x.im)) x.im)

Samples

113.0ms

256×

valid

Compiler

Compiled 297 to 37 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 35.0ms (45.9% of total)

ival-div: 33.0ms (43.3% of total)

ival-add: 5.0ms (6.6% of total)

ival-sub: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

series57.0ms (0.8%)

Memory

-13.7MiB live, 29.2MiB allocated

Counts

22 → 47

Calls

Call 1

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

Outputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(pow x.re 2)
(/ 1 (pow x.im 2))
(+ (* 3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(+ (* (pow x.re 2) (+ (* 9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(+ (* (pow x.re 2) (+ (* (pow x.re 2) (+ (* 27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(pow x.im 2)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(/ (pow x.im 2) (pow x.re 2))
(/ (+ (* -3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(/ -1/3 (pow x.re 2))
(/ (- (* -1/9 (/ (pow x.im 2) (pow x.re 2))) 1/3) (pow x.re 2))
(/ (- (* -1/27 (/ (pow x.im 4) (pow x.re 4))) (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))
(/ (- (* -1/81 (/ (pow x.im 6) (pow x.re 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.im 4) (pow x.re 4))) (* 1/9 (/ (pow x.im 2) (pow x.re 2)))))) (pow x.re 2))
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
-3
(- (/ (pow x.im 2) (pow x.re 2)) 3)
(* -1 x.im)
(/ -1 x.im)
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* 3 x.im)
(- (* -1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))
(- (* (pow x.im 2) (- (* -1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(- (* (pow x.im 2) (- (* (pow x.im 2) (- (* -1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(/ (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ 1 (* 9 (/ (pow x.re 4) (pow x.im 4)))) (* -3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ 1 (* 27 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2)))))
(* -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))))))

Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	x.re	@	inf	((/ 1 (/ 1 (neg x.im))) (/ 1 (neg x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* 3 x.re) x.re) (* (/ 1 (/ 1 (neg x.im))) x.im)) x.im) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.re) (* x.im 3)) (* x.re x.re) (* x.im 3) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im)))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))) (* (+ (* (/ (/ x.im x.re) x.re) x.im) -3) (* x.re x.re)) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im)))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (* 3 x.re) x.re) (* (/ 1 (/ 1 (neg x.im))) x.im)) (+ (* (* x.re x.re) -3) (* x.im x.im)) (+ (* (/ (/ x.im x.re) x.re) x.im) -3) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))))
3.0ms	x.im	@	inf	((/ 1 (/ 1 (neg x.im))) (/ 1 (neg x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* 3 x.re) x.re) (* (/ 1 (/ 1 (neg x.im))) x.im)) x.im) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.re) (* x.im 3)) (* x.re x.re) (* x.im 3) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im)))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))) (* (+ (* (/ (/ x.im x.re) x.re) x.im) -3) (* x.re x.re)) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im)))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (* 3 x.re) x.re) (* (/ 1 (/ 1 (neg x.im))) x.im)) (+ (* (* x.re x.re) -3) (* x.im x.im)) (+ (* (/ (/ x.im x.re) x.re) x.im) -3) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))))
3.0ms	x.im	@	-inf	((/ 1 (/ 1 (neg x.im))) (/ 1 (neg x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* 3 x.re) x.re) (* (/ 1 (/ 1 (neg x.im))) x.im)) x.im) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.re) (* x.im 3)) (* x.re x.re) (* x.im 3) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im)))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))) (* (+ (* (/ (/ x.im x.re) x.re) x.im) -3) (* x.re x.re)) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im)))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (* 3 x.re) x.re) (* (/ 1 (/ 1 (neg x.im))) x.im)) (+ (* (* x.re x.re) -3) (* x.im x.im)) (+ (* (/ (/ x.im x.re) x.re) x.im) -3) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))))
3.0ms	x.im	@	0	((/ 1 (/ 1 (neg x.im))) (/ 1 (neg x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* 3 x.re) x.re) (* (/ 1 (/ 1 (neg x.im))) x.im)) x.im) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.re) (* x.im 3)) (* x.re x.re) (* x.im 3) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im)))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))) (* (+ (* (/ (/ x.im x.re) x.re) x.im) -3) (* x.re x.re)) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im)))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (* 3 x.re) x.re) (* (/ 1 (/ 1 (neg x.im))) x.im)) (+ (* (* x.re x.re) -3) (* x.im x.im)) (+ (* (/ (/ x.im x.re) x.re) x.im) -3) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))))
2.0ms	x.re	@	0	((/ 1 (/ 1 (neg x.im))) (/ 1 (neg x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* 3 x.re) x.re) (* (/ 1 (/ 1 (neg x.im))) x.im)) x.im) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.re) (* x.im 3)) (* x.re x.re) (* x.im 3) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im)))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))) (* (+ (* (/ (/ x.im x.re) x.re) x.im) -3) (* x.re x.re)) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im)))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (* 3 x.re) x.re) (* (/ 1 (/ 1 (neg x.im))) x.im)) (+ (* (* x.re x.re) -3) (* x.im x.im)) (+ (* (/ (/ x.im x.re) x.re) x.im) -3) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))))

simplify353.0ms (5%)

Memory

-10.8MiB live, 187.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	583
1	456	570
2	1354	570
3	5173	570
0	8273	540

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 47

Calls

Call 1

Inputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(pow x.re 2)
(/ 1 (pow x.im 2))
(+ (* 3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(+ (* (pow x.re 2) (+ (* 9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(+ (* (pow x.re 2) (+ (* (pow x.re 2) (+ (* 27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(pow x.im 2)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(/ (pow x.im 2) (pow x.re 2))
(/ (+ (* -3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(/ -1/3 (pow x.re 2))
(/ (- (* -1/9 (/ (pow x.im 2) (pow x.re 2))) 1/3) (pow x.re 2))
(/ (- (* -1/27 (/ (pow x.im 4) (pow x.re 4))) (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))
(/ (- (* -1/81 (/ (pow x.im 6) (pow x.re 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.im 4) (pow x.re 4))) (* 1/9 (/ (pow x.im 2) (pow x.re 2)))))) (pow x.re 2))
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
-3
(- (/ (pow x.im 2) (pow x.re 2)) 3)
(* -1 x.im)
(/ -1 x.im)
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* 3 x.im)
(- (* -1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))
(- (* (pow x.im 2) (- (* -1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(- (* (pow x.im 2) (- (* (pow x.im 2) (- (* -1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(/ (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ 1 (* 9 (/ (pow x.re 4) (pow x.im 4)))) (* -3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ 1 (* 27 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2)))))
(* -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))))))

Outputs
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* 3 (* x.im (pow x.re 2)))
(.f64 (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)
(pow x.re 2)
(*.f64 x.re x.re)
(/ 1 (pow x.im 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))
(+ (* 3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (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)) (.f64 x.im x.im))
(+ (* (pow x.re 2) (+ (* 9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(fma.f64 (fma.f64 (.f64 #s(literal 9 binary64) x.re) (/.f64 x.re (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 x.re x.re) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))
(+ (* (pow x.re 2) (+ (* (pow x.re 2) (+ (* 27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 27 binary64) x.re) (/.f64 x.re (pow.f64 x.im #s(literal 8 binary64))) (/.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 x.re x.re) (/.f64 #s(literal 1 binary64) (.f64 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))
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(fma.f64 (neg.f64 x.im) x.im (.f64 (.f64 x.re x.re) #s(literal 3 binary64)))
(/ (pow x.im 2) (pow x.re 2))
(*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im)
(/ (+ (* -3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2))
(/.f64 (/.f64 (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im)) x.re) x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(.f64 (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(/ -1/3 (pow x.re 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 x.re x.re))
(/ (- (* -1/9 (/ (pow x.im 2) (pow x.re 2))) 1/3) (pow x.re 2))
(fma.f64 (.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x.re #s(literal 4 binary64))) x.im) x.im (/.f64 #s(literal -1/3 binary64) (.f64 x.re x.re)))
(/ (- (* -1/27 (/ (pow x.im 4) (pow x.re 4))) (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))
(/.f64 (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) (/.f64 #s(literal -1/27 binary64) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -1/9 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re) #s(literal -1/3 binary64))) (.f64 x.re x.re))
(/ (- (* -1/81 (/ (pow x.im 6) (pow x.re 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.im 4) (pow x.re 4))) (* 1/9 (/ (pow x.im 2) (pow x.re 2)))))) (pow x.re 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) #s(literal -1/81 binary64) (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) (/.f64 #s(literal -1/27 binary64) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -1/9 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re) #s(literal -1/3 binary64)))) (.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 (fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #s(literal -3 binary64)) (.f64 x.re x.re))
(* 3 (pow x.re 2))
(.f64 (.f64 x.re x.re) #s(literal 3 binary64))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 (neg.f64 x.im) x.im (.f64 (.f64 x.re x.re) #s(literal 3 binary64)))
-3
#s(literal -3 binary64)
(- (/ (pow x.im 2) (pow x.re 2)) 3)
(fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #s(literal -3 binary64))
(* -1 x.im)
(neg.f64 x.im)
(/ -1 x.im)
(/.f64 #s(literal -1 binary64) x.im)
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(.f64 (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* 3 x.im)
(*.f64 #s(literal 3 binary64) x.im)
(- (* -1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))
(fma.f64 (.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x.re #s(literal 4 binary64))) x.im) x.im (/.f64 #s(literal -1/3 binary64) (.f64 x.re x.re)))
(- (* (pow x.im 2) (- (* -1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 x.re #s(literal 6 binary64))) x.im) x.im (/.f64 #s(literal -1/9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 #s(literal -1/3 binary64) (*.f64 x.re x.re)))
(- (* (pow x.im 2) (- (* (pow x.im 2) (- (* -1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/81 binary64) x.im) (/.f64 x.im (pow.f64 x.re #s(literal 8 binary64))) (/.f64 #s(literal -1/27 binary64) (pow.f64 x.re #s(literal 6 binary64)))) (.f64 x.im x.im) (/.f64 #s(literal -1/9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 x.im x.im) (/.f64 #s(literal -1/3 binary64) (.f64 x.re 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 (neg.f64 x.im) x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(/ (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 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)) (.f64 x.im x.im))
(/ (- (+ 1 (* 9 (/ (pow x.re 4) (pow x.im 4)))) (* -3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/.f64 (fma.f64 (.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 1 binary64))) (.f64 x.im x.im))
(/ (- (+ 1 (* 27 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/.f64 (fma.f64 (pow.f64 x.re #s(literal 6 binary64)) (/.f64 #s(literal 27 binary64) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 1 binary64)))) (.f64 x.im x.im))
(* (pow x.im 2) (+ 1 (* -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))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(fma.f64 (neg.f64 x.im) x.im (.f64 (.f64 x.re x.re) #s(literal 3 binary64)))
(* (pow x.im 2) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2)))))
(fma.f64 (/.f64 (/.f64 x.im x.re) x.re) 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 (neg.f64 x.im) x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(.f64 (fma.f64 (neg.f64 x.im) x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)

rewrite73.0ms (1%)

Memory

3.3MiB live, 80.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	353
0	68	337
1	254	308
0	1581	296

Stop Event

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

Counts

22 → 253

Calls

Call 1

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

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

eval55.0ms (0.8%)

Memory: 6.8MiB live, 53.0MiB allocated
Compiler: Compiled 11 235 to 1 114 computations (90.1% saved)

prune27.0ms (0.4%)

Memory

-2.4MiB live, 37.3MiB allocated

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	264	6	270
Fresh	1	2	3
Picked	3	2	5
Done	0	4	4
Total	268	14	282

Accuracy

100.0%

Counts

282 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) x.im)))
	38.6%	#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) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (.f64 #s(approx (+ ( (/ (/ x.im x.re) x.re) x.im) -3) (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im)) (.f64 x.re x.re))))))
	61.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/.f64 x.im (/.f64 #s(literal -1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im)))))
	61.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im))) x.im)))
✓	93.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im))
	61.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (/.f64 x.im (/.f64 #s(literal -1 binary64) x.im)) x.im))
	61.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x.im) x.im)) x.im))
✓	50.3%	#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) #s(literal 3 binary64)) x.im))
	54.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)))
✓	61.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im))
✓	50.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
	54.6%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
✓	20.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) x.im))
✓	61.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))

Compiler

Compiled 1 350 to 398 computations (70.5% saved)

regimes31.0ms (0.4%)

Memory

14.3MiB live, 52.4MiB allocated

Counts

30 → 3

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	x.im
9.0ms	x.re
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))

Results

Accuracy	Segments	Branch
97.4%	2	`x.re`
98.3%	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 21 to 15 computations (28.6% saved)

regimes33.0ms (0.5%)

Memory

-21.5MiB live, 14.9MiB allocated

Counts

27 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

31.0ms

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

Results

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes15.0ms (0.2%)

Memory

25.3MiB live, 25.3MiB allocated

Counts

25 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

regimes44.0ms (0.6%)

Memory

-23.8MiB live, 20.1MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	x.re
3.0ms	x.im
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
97.3%	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))`
84.9%	4	`x.im`
85.8%	2	`x.re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes5.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

3 calls:

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
61.4%	1	`x.im`
63.6%	2	`x.re`
61.4%	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)

regimes4.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	x.re
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.im

Results

Accuracy	Segments	Branch
20.0%	1	`x.im`
20.0%	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))`
20.0%	1	`x.re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-3.3633130012285803e-298	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	5.697487937150186e+147	4.187317676105569e+168

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch55.0ms (0.8%)

Memory

-12.1MiB live, 27.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
53.0ms	2.7211209170203873e+152	1.9652425890346657e+160

Samples

10.0ms

144×

valid

Compiler

Compiled 544 to 340 computations (37.5% saved)

Precisions

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

ival-mult: 5.0ms (76.5% of total)

ival-sub: 1.0ms (15.3% of total)

ival-add: 1.0ms (15.3% of total)

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

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

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-3.3633130012285803e-298	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch22.0ms (0.3%)

Memory

-14.6MiB live, 24.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	7.489005140481403e+191	1.0225071405100184e+195

Samples

15.0ms

128×

valid

Compiler

Compiled 430 to 264 computations (38.6% saved)

Precisions

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

ival-add: 8.0ms (63.5% of total)

ival-mult: 4.0ms (31.8% of total)

ival-sub: 1.0ms (7.9% of total)

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

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

simplify74.0ms (1.1%)

Memory

12.0MiB live, 51.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	71	519
1	110	495
2	167	495
3	277	447
4	516	445
5	1230	445
6	2715	445
7	6262	445

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 -4712544691453469/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (.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 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #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 10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984 binary64)) (+.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)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (.f64 #s(literal 3 binary64) x.re))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #s(literal -3 binary64)) (.f64 x.re x.re))))))))
(if (<=.f64 x.re #s(literal 7799999999999999662993259276744944044744793674331316722871614461873921322564221558610190161949860767151784985925172927759692277766751643944293093240471552 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 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re)))) x.im)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -4712544691453469/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (.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 (neg.f64 x.im) x.im) x.im))))
(if (<=.f64 x.re #s(literal 510000000000000015540855953190673080218823854509318274044146542783008872868906882831062693623643779030033375121386045401983755375960871676077145517504908405579318326068190623886161646614401253376 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) x.im))

Outputs
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -4712544691453469/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (.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 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #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 -4712544691453469/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (.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 x.im (/.f64 #s(literal -1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #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 10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984 binary64)) (+.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)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (.f64 #s(literal 3 binary64) x.re))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #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 10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984 binary64)) (+.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)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (.f64 #s(literal 3 binary64) x.re))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/.f64 x.im (/.f64 #s(literal -1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #s(literal -3 binary64)) (.f64 x.re x.re))))))))
(if (<=.f64 x.re #s(literal 7799999999999999662993259276744944044744793674331316722871614461873921322564221558610190161949860767151784985925172927759692277766751643944293093240471552 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 (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re)))) x.im)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -4712544691453469/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (.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 (neg.f64 x.im) x.im) x.im))))
(if (or (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -4712544691453469/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552 binary64)) (not (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im))))
(if (<=.f64 x.re #s(literal 510000000000000015540855953190673080218823854509318274044146542783008872868906882831062693623643779030033375121386045401983755375960871676077145517504908405579318326068190623886161646614401253376 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (neg.f64 x.im) x.im) x.im)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im x.im) x.im))

soundness894.0ms (12.8%)

Memory

1.5MiB live, 561.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	310
0	65	290
1	247	223
2	1673	222
0	8515	211
0	159	554
1	451	541
2	1323	541
3	5003	541
0	8189	514
0	57	198
1	182	192
2	585	192
3	2569	192
4	7315	192
0	8104	187

Stop Event

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

Compiler

Compiled 831 to 292 computations (64.9% saved)

preprocess107.0ms (1.5%)

Memory: -10.3MiB live, 225.9MiB allocated
Remove: (abs x.re)
Compiler: Compiled 1 952 to 472 computations (75.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (17.3%)

explain191.0ms (2.7%)

preprocess263.0ms (3.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify239.0ms (3.4%)

localize36.0ms (0.5%)

series12.0ms (0.2%)

simplify274.0ms (3.9%)

rewrite86.0ms (1.2%)

eval47.0ms (0.7%)

prune6.0ms (0.1%)

simplify178.0ms (2.5%)

localize255.0ms (3.6%)

series27.0ms (0.4%)

simplify288.0ms (4.1%)

rewrite292.0ms (4.2%)

eval308.0ms (4.4%)

prune84.0ms (1.2%)

simplify150.0ms (2.1%)

localize148.0ms (2.1%)

series17.0ms (0.2%)

simplify263.0ms (3.7%)

rewrite178.0ms (2.5%)

eval42.0ms (0.6%)

prune42.0ms (0.6%)

simplify380.0ms (5.4%)

localize137.0ms (2%)

series57.0ms (0.8%)

simplify353.0ms (5%)

rewrite73.0ms (1%)

eval55.0ms (0.8%)

prune27.0ms (0.4%)

regimes31.0ms (0.4%)

regimes33.0ms (0.5%)

regimes15.0ms (0.2%)

regimes44.0ms (0.6%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch55.0ms (0.8%)

bsearch1.0ms (0%)

bsearch22.0ms (0.3%)

simplify74.0ms (1.1%)

soundness894.0ms (12.8%)

preprocess107.0ms (1.5%)

end0.0ms (0%)

Profiling