Metrics for math.cube on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

sample1.3s (21.2%)

Memory

3.0MiB live, 1 770.8MiB allocated

Samples

937.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 642.0ms

ival-mult: 453.0ms (70.6% of total)

ival-add: 122.0ms (19% of total)

ival-sub: 57.0ms (8.9% of total)

ival-true: 7.0ms (1.1% of total)

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

Bogosity

explain182.0ms (3%)

Memory

-4.4MiB live, 191.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
25	-	-	`(+.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))`
19	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
11	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`
0	-	-	`(*.f64 x.re x.im)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`
0	-	-	`x.re`
0	-	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`	nan-rescue	25	0
↳	`(*.f64 x.re x.re)`	overflow	62
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	105
↳	`(*.f64 x.im x.im)`	overflow	62
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	overflow	112
↳	`(*.f64 x.im x.re)`	overflow	40
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`	overflow	66
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	40
↳	`(*.f64 x.re x.im)`	overflow	40
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	19	0
↳	`(*.f64 x.re x.re)`	overflow	62
↳	`(*.f64 x.im x.im)`	overflow	62
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	*no**	11	0

Confusion

	Predicted +	Predicted -
+	44	0
-	0	212

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	44	0	0
-	0	0	212

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	212
1	33
2	11

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 19.0ms (72.8% of total)

ival-add: 4.0ms (15.3% of total)

ival-sub: 2.0ms (7.7% of total)

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

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

preprocess242.0ms (4%)

Memory

-5.6MiB live, 231.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x.re)

(negabs x.im)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.0%	(+.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)

simplify153.0ms (2.5%)

Memory

5.5MiB live, 194.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize56.0ms (0.9%)

Memory

-3.3MiB live, 60.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	2.6645501397480187	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy	4.343727294132265	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	6.328073395755145	(+.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

49.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

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

ival-mult: 9.0ms (72.2% of total)

ival-add: 2.0ms (16% of total)

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

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

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

series12.0ms (0.2%)

Memory

20.4MiB live, 20.4MiB 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))

simplify206.0ms (3.4%)

Memory

-24.0MiB live, 204.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

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

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

rewrite73.0ms (1.2%)

Memory

13.7MiB live, 60.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 119

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))))))
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eval12.0ms (0.2%)

Memory: 23.6MiB live, 23.6MiB allocated
Compiler: Compiled 3 305 to 481 computations (85.4% saved)

prune31.0ms (0.5%)

Memory

-28.4MiB live, 16.4MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	127	8	135
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	8	136

Accuracy

100.0%

Counts

136 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.0%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
▶	67.5%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	50.5%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	54.4%	(+.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))
	62.4%	#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)))
▶	80.3%	#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) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
▶	54.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
▶	91.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))

Compiler

Compiled 428 to 246 computations (42.5% saved)

simplify124.0ms (2.1%)

Memory

30.3MiB live, 218.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	391
0	71	391
1	145	373
2	431	373
3	1540	351
4	4844	351
0	8296	349

Stop Event

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

Calls

Call 1

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

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

localize153.0ms (2.5%)

Memory

-33.1MiB live, 236.9MiB allocated

Localize:

Found 20 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 (fma.f64 (.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
accuracy	0.078125	(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64))
accuracy	0.21484375	(*.f64 #s(literal 3 binary64) (/.f64 x.re x.im))
accuracy	12.125786139056643	(.f64 (fma.f64 (.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
accuracy	0.14453125	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	2.6645501397480187	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im)
accuracy	6.328073395755145	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy	13.684204125931464	(.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))
accuracy	0.14453125	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	2.6645501397480187	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
accuracy	6.328073395755145	(+.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	30.349546756572266	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.13671875	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
accuracy	0.1953125	(.f64 (.f64 #s(literal 3 binary64) x.re) x.im)
accuracy	29.098144272515523	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
accuracy	0.0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))
accuracy	0.16796875	(.f64 #s(literal -3 binary64) (.f64 x.re x.re))
accuracy	2.6717889848309015	(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
accuracy	2.753875973661162	(fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re)))

Samples

80.0ms

256×

valid

Compiler

Compiled 310 to 35 computations (88.7% saved)

Precisions

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

ival-mult: 26.0ms (44.3% of total)

ival-pow: 15.0ms (25.6% of total)

ival-div: 5.0ms (8.5% of total)

ival-add: 5.0ms (8.5% of total)

ival-neg: 5.0ms (8.5% of total)

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

exact: 1.0ms (1.7% of total)

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

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

series30.0ms (0.5%)

Memory

20.7MiB live, 65.2MiB allocated

Counts

22 → 42

Calls

Call 1

Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))
(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
(neg.f64 x.im)
(fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
(.f64 (.f64 #s(literal 3 binary64) x.re) x.im)
(*.f64 #s(literal 3 binary64) x.re)
(+.f64 (.f64 #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))
(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.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 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 x.re 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 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 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))))
(pow x.im 2)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 x.re)
(* 2 (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
-1
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(* 3 (/ x.re x.im))
(* -3 (pow x.re 2))
(* 2 (* x.im (pow x.re 2)))
(+ (* -1 (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)))
(* (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)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (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)) (* 3 (pow x.re 2))))
(* -1 x.im)
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 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 (* -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
9.0ms	x.re	@	inf	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.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)) (* (- (* 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)) (* (+ (* (* 3 (/ x.re x.im)) (/ x.re x.im)) -1) (pow x.im 3)) (+ (* (* 3 (/ x.re x.im)) (/ x.re x.im)) -1) (* 3 (/ x.re x.im)) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* x.re x.re)))
6.0ms	x.im	@	0	((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.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)) (* (- (* 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)) (* (+ (* (* 3 (/ x.re x.im)) (/ x.re x.im)) -1) (pow x.im 3)) (+ (* (* 3 (/ x.re x.im)) (/ x.re x.im)) -1) (* 3 (/ x.re x.im)) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* x.re x.re)))
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 x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.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)) (* (- (* 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)) (* (+ (* (* 3 (/ x.re x.im)) (/ x.re x.im)) -1) (pow x.im 3)) (+ (* (* 3 (/ x.re x.im)) (/ x.re x.im)) -1) (* 3 (/ x.re x.im)) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* x.re x.re)))
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 x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.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)) (* (- (* 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)) (* (+ (* (* 3 (/ x.re x.im)) (/ x.re x.im)) -1) (pow x.im 3)) (+ (* (* 3 (/ x.re x.im)) (/ x.re x.im)) -1) (* 3 (/ x.re x.im)) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* x.re x.re)))
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)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.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)) (* (- (* 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)) (* (+ (* (* 3 (/ x.re x.im)) (/ x.re x.im)) -1) (pow x.im 3)) (+ (* (* 3 (/ x.re x.im)) (/ x.re x.im)) -1) (* 3 (/ x.re x.im)) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* x.re x.re)))

simplify209.0ms (3.5%)

Memory

-31.3MiB live, 204.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	383
1	291	365
2	975	365
3	5554	365
0	8498	358

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 42

Calls

Call 1

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

rewrite218.0ms (3.6%)

Memory

1.9MiB live, 196.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	315
0	71	315
1	256	284
2	1835	276
0	8375	265

Stop Event

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

Counts

22 → 368

Calls

Call 1

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

eval94.0ms (1.6%)

Memory: -13.7MiB live, 84.5MiB allocated
Compiler: Compiled 22 922 to 1 641 computations (92.8% saved)

prune17.0ms (0.3%)

Memory

42.5MiB live, 42.5MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	453	10	463
Fresh	2	1	3
Picked	4	1	5
Done	0	0	0
Total	459	12	471

Accuracy

100.0%

Counts

471 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.5%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (.f64 x.re x.re))) x.im) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re))
▶	82.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 (neg.f64 x.im) x.im) x.im (.f64 (.f64 (neg.f64 x.im) #s(literal -3 binary64)) (.f64 x.re x.re))))
	62.4%	#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)))
	50.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
▶	54.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
	54.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re))
▶	50.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
✓	91.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))
▶	73.7%	#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) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))))
▶	62.4%	#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) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
	34.7%	#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 (+ ( (* 3 (/ x.re x.im)) (/ x.re x.im)) -1) (.f64 (/.f64 #s(literal 3 binary64) x.im) (.f64 x.re (/.f64 x.re x.im)))) (pow.f64 x.im #s(literal 3 binary64))))
	54.4%	#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 3 binary64) (.f64 (*.f64 x.im x.re) x.re)))

Compiler

Compiled 733 to 422 computations (42.4% saved)

simplify196.0ms (3.2%)

Memory

-25.1MiB live, 65.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	373
0	64	375
1	132	357
2	366	355
3	1197	325
4	2869	325
5	6317	325
0	8437	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)) (fma.f64 (.f64 (neg.f64 x.im) x.im) x.im (.f64 (.f64 (neg.f64 x.im) #s(literal -3 binary64)) (.f64 x.re x.re))))
(fma.f64 (.f64 (neg.f64 x.im) x.im) x.im (.f64 (.f64 (neg.f64 x.im) #s(literal -3 binary64)) (.f64 x.re x.re)))
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
x.im
(.f64 (.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))
(*.f64 (neg.f64 x.im) #s(literal -3 binary64))
#s(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 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
(.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))
(neg.f64 x.im)
x.im
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))
(*.f64 x.im x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)
(.f64 (.f64 #s(literal 3 binary64) x.re) x.re)
(*.f64 #s(literal 3 binary64) x.re)
#s(literal 3 binary64)
x.re
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
(.f64 (.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re)
(.f64 (.f64 x.im x.re) #s(literal 3 binary64))
(*.f64 x.im x.re)
x.im
x.re
#s(literal 3 binary64)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.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) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.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
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))
(.f64 (-.f64 (.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 x.re) x.re) x.im) #s(literal 3 binary64))
(*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im)
(/.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)) (fma.f64 (.f64 (neg.f64 x.im) x.im) x.im (.f64 (.f64 (neg.f64 x.im) #s(literal -3 binary64)) (.f64 x.re x.re))))
#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))
(fma.f64 (.f64 (neg.f64 x.im) x.im) x.im (.f64 (.f64 (neg.f64 x.im) #s(literal -3 binary64)) (.f64 x.re x.re)))
(.f64 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im)
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
x.im
(.f64 (.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))
(.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
(*.f64 (neg.f64 x.im) #s(literal -3 binary64))
(*.f64 #s(literal 3 binary64) x.im)
#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 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)) (neg.f64 x.im)))
(.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))
(.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)) (neg.f64 x.im))
(neg.f64 x.im)
x.im
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))
(*.f64 x.im x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)
(.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) x.re) x.re)
(*.f64 #s(literal 3 binary64) x.re)
#s(literal 3 binary64)
x.re
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)))
(.f64 (.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re)
(.f64 (.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
(.f64 (.f64 x.im x.re) #s(literal 3 binary64))
(*.f64 x.im x.re)
x.im
x.re
#s(literal 3 binary64)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.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.im x.im) (* -3 (* x.re x.re))) (.f64 (.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) x.re) x.re)) (neg.f64 x.im)))
(.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))))
(.f64 #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) x.re) x.re)) (neg.f64 x.im))
(neg.f64 x.im)
x.im
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (.f64 (.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) x.re) x.re))
(.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))
(.f64 (.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) x.re) x.re)
(-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64))
(*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im)
(/.f64 (/.f64 x.im x.re) x.re)
(/.f64 x.im x.re)
x.re
#s(literal 3 binary64)
(*.f64 x.re x.re)

localize102.0ms (1.7%)

Memory

2.3MiB live, 48.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.15625	(/.f64 (/.f64 x.im x.re) x.re)
accuracy	2.6717889848309015	(.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))))
accuracy	3.9499676367192857	(*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im)
accuracy	12.705753274332798	(.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.13671875	(.f64 (.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re)
accuracy	0.2421875	(.f64 (.f64 x.im x.re) #s(literal 3 binary64))
accuracy	29.098144272515523	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
accuracy	0.0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.12109375	(.f64 (.f64 #s(literal 3 binary64) x.re) x.re)
accuracy	6.3721908142071735	(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)
accuracy	29.098144272515523	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
accuracy	0.0	(neg.f64 x.im)
accuracy	0.0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
accuracy	2.6717889848309015	(.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))
accuracy	27.234021160401625	#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 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)) (fma.f64 (.f64 (neg.f64 x.im) x.im) x.im (.f64 (.f64 (neg.f64 x.im) #s(literal -3 binary64)) (.f64 x.re x.re))))
accuracy	6.431569180957174	(.f64 (.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))
accuracy	7.886665081081208	(fma.f64 (.f64 (neg.f64 x.im) x.im) x.im (.f64 (.f64 (neg.f64 x.im) #s(literal -3 binary64)) (.f64 x.re x.re)))

Samples

54.0ms

256×

valid

Compiler

Compiled 265 to 34 computations (87.2% saved)

Precisions

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

ival-mult: 26.0ms (69.5% of total)

ival-add: 4.0ms (10.7% of total)

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

ival-sub: 2.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.3%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

23 → 28

Calls

Call 1

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

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

Calls

6 calls:

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

simplify229.0ms (3.8%)

Memory

-16.2MiB live, 132.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	247
1	215	243
2	718	241
3	4023	241
0	8316	235

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 28

Calls

Call 1

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

rewrite282.0ms (4.7%)

Memory

11.2MiB live, 154.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	335
0	64	337
1	215	309
2	1402	297
0	8837	279

Stop Event

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

Counts

23 → 343

Calls

Call 1

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

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

eval42.0ms (0.7%)

Memory: -8.6MiB live, 37.4MiB allocated
Compiler: Compiled 11 853 to 1 091 computations (90.8% saved)

prune56.0ms (0.9%)

Memory

-21.0MiB live, 26.2MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	278	5	283
Fresh	2	4	6
Picked	2	3	5
Done	0	1	1
Total	282	13	295

Accuracy

100.0%

Counts

295 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 (neg.f64 x.im) x.im) x.im (.f64 (.f64 x.im #s(literal 3 binary64)) (.f64 x.re x.re))))
▶	62.4%	#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)))
	50.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
▶	54.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
✓	54.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
	54.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re))
✓	50.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
▶	50.4%	#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.re x.re) (*.f64 x.im #s(literal 3 binary64))))
✓	91.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))
	77.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (/.f64 (.f64 (/.f64 x.im x.re) x.im) x.re) #s(literal 3 binary64)) (*.f64 x.re x.re)))))
▶	62.4%	#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) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (.f64 x.re x.re)))))
✓	62.4%	#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) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
	34.7%	#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 (+ ( (* 3 (/ x.re x.im)) (/ x.re x.im)) -1) (.f64 (/.f64 #s(literal 3 binary64) x.im) (.f64 x.re (/.f64 x.re x.im)))) (pow.f64 x.im #s(literal 3 binary64))))

Compiler

Compiled 725 to 415 computations (42.8% saved)

simplify186.0ms (3.1%)

Memory

6.7MiB live, 63.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	325
0	55	323
1	121	311
2	365	311
3	1201	281
4	2787	281
5	6293	281
0	8394	278

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

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

localize103.0ms (1.7%)

Memory

20.2MiB live, 66.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
accuracy	0.0	(neg.f64 x.im)
accuracy	24.03716429039742	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
accuracy	2.6717889848309015	(.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (.f64 x.re x.re))))
accuracy	3.9499676367192857	(.f64 (/.f64 x.im (.f64 x.re x.re)) x.im)
accuracy	10.878538740314283	(/.f64 x.im (*.f64 x.re x.re))
accuracy	12.705753274332798	(.f64 (-.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal 3 binary64)) (.f64 x.re x.re))
accuracy	0.0	(*.f64 x.re x.im)
accuracy	0.14453125	(.f64 (.f64 x.re x.im) x.re)
accuracy	0.1484375	(.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
accuracy	29.098144272515523	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
accuracy	0.0	(*.f64 x.re x.re)
accuracy	0.0	(*.f64 x.im #s(literal 3 binary64))
accuracy	6.431569180957174	(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
accuracy	29.098144272515523	#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	(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)) (fma.f64 (.f64 (neg.f64 x.im) x.im) x.im (.f64 (.f64 x.im #s(literal 3 binary64)) (.f64 x.re x.re))))
accuracy	6.431569180957174	(.f64 (.f64 x.im #s(literal 3 binary64)) (*.f64 x.re x.re))
accuracy	7.886665081081208	(fma.f64 (.f64 (neg.f64 x.im) x.im) x.im (.f64 (.f64 x.im #s(literal 3 binary64)) (.f64 x.re x.re)))

Samples

85.0ms

256×

valid

Compiler

Compiled 238 to 32 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 53.0ms (76.7% of total)

ival-pow: 6.0ms (8.7% of total)

ival-add: 4.0ms (5.8% of total)

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

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

ival-neg: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.7%)

Memory

-21.4MiB live, 25.6MiB allocated

Counts

21 → 27

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	x.im	@	0	((+ (* (* (neg x.im) x.im) x.im) (* (* x.im 3) (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (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) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* 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)) (pow (neg x.im) 3) (* (* x.im 3) (* x.re x.re)) (* (- (* (/ x.im (* x.re x.re)) x.im) 3) (* x.re x.re)) (/ x.im (* x.re x.re)) (* (/ x.im (* x.re x.re)) x.im))
3.0ms	x.im	@	-inf	((+ (* (* (neg x.im) x.im) x.im) (* (* x.im 3) (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (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) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* 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)) (pow (neg x.im) 3) (* (* x.im 3) (* x.re x.re)) (* (- (* (/ x.im (* x.re x.re)) x.im) 3) (* x.re x.re)) (/ x.im (* x.re x.re)) (* (/ x.im (* x.re x.re)) x.im))
3.0ms	x.im	@	inf	((+ (* (* (neg x.im) x.im) x.im) (* (* x.im 3) (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (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) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* 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)) (pow (neg x.im) 3) (* (* x.im 3) (* x.re x.re)) (* (- (* (/ x.im (* x.re x.re)) x.im) 3) (* x.re x.re)) (/ x.im (* x.re x.re)) (* (/ x.im (* x.re x.re)) x.im))
2.0ms	x.re	@	-inf	((+ (* (* (neg x.im) x.im) x.im) (* (* x.im 3) (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (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) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* 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)) (pow (neg x.im) 3) (* (* x.im 3) (* x.re x.re)) (* (- (* (/ x.im (* x.re x.re)) x.im) 3) (* x.re x.re)) (/ x.im (* x.re x.re)) (* (/ x.im (* x.re x.re)) x.im))
2.0ms	x.re	@	inf	((+ (* (* (neg x.im) x.im) x.im) (* (* x.im 3) (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (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) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* 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)) (pow (neg x.im) 3) (* (* x.im 3) (* x.re x.re)) (* (- (* (/ x.im (* x.re x.re)) x.im) 3) (* x.re x.re)) (/ x.im (* x.re x.re)) (* (/ x.im (* x.re x.re)) x.im))

simplify205.0ms (3.4%)

Memory

-6.2MiB live, 179.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	242
1	210	238
2	711	236
3	4054	236
0	8350	230

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

rewrite187.0ms (3.1%)

Memory

33.6MiB live, 271.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	289
0	55	287
1	210	265
2	1453	253
0	8261	238

Stop Event

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

Counts

21 → 345

Calls

Call 1

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

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

eval95.0ms (1.6%)

Memory: 8.5MiB live, 106.7MiB allocated
Compiler: Compiled 15 799 to 1 478 computations (90.6% saved)

prune40.0ms (0.7%)

Memory

2.6MiB live, 49.0MiB allocated

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	375	2	377
Fresh	0	4	4
Picked	1	4	5
Done	0	4	4
Total	376	14	390

Accuracy

100.0%

Counts

390 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	82.9%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 (neg.f64 x.im) x.im) x.im (.f64 (.f64 x.im #s(literal 3 binary64)) (.f64 x.re x.re))))
✓	62.4%	#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)))
	50.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
✓	54.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
✓	54.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
	54.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re))
✓	50.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
✓	50.4%	#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.re x.re) (*.f64 x.im #s(literal 3 binary64))))
	24.3%	#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 x.im) x.im))
✓	91.5%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))
	77.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (/.f64 (.f64 (/.f64 x.im x.re) x.im) x.re) #s(literal 3 binary64)) (*.f64 x.re x.re)))))
	71.3%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (.f64 (-.f64 (.f64 (/.f64 x.im (.f64 x.re x.re)) x.im) #s(literal 3 binary64)) x.re) x.re))))
✓	62.4%	#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) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
	34.7%	#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 (+ ( (* 3 (/ x.re x.im)) (/ x.re x.im)) -1) (.f64 (/.f64 #s(literal 3 binary64) x.im) (.f64 x.re (/.f64 x.re x.im)))) (pow.f64 x.im #s(literal 3 binary64))))

Compiler

Compiled 1 258 to 390 computations (69% saved)

regimes33.0ms (0.5%)

Memory

-9.8MiB live, 37.2MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

19.0ms	x.im
7.0ms	x.re
6.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

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))`
97.5%	3	`x.re`
98.4%	2	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes35.0ms (0.6%)

Memory

-27.6MiB live, 24.1MiB allocated

Counts

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

Outputs

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

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

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

Calls

2 calls:

27.0ms	(+.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))
7.0ms	x.im

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))`
98.3%	3	`x.im`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes11.0ms (0.2%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

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

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

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

Calls

2 calls:

5.0ms	x.im
4.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
98.3%	3	`x.im`
96.7%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes10.0ms (0.2%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

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

Outputs

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

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

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

Calls

3 calls:

3.0ms	x.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
96.2%	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))`
83.0%	2	`x.re`
80.9%	2	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes21.0ms (0.3%)

Memory

-43.6MiB live, 4.0MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

20.0ms

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

Results

Accuracy	Segments	Branch
96.2%	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)

regimes4.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB 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 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))

Outputs

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

#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
62.4%	1	`x.im`
65.4%	2	`x.re`
66.4%	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 21 to 15 computations (28.6% saved)

regimes3.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB 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.im
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))

Results

Accuracy	Segments	Branch
24.3%	1	`x.im`
24.3%	1	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
24.3%	1	`x.re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch16.0ms (0.3%)

Memory

23.7MiB live, 23.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.1569660737370204e-86	5.054700738378046e-84

Samples

9.0ms

128×

valid

Compiler

Compiled 510 to 312 computations (38.8% saved)

Precisions

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

ival-mult: 4.0ms (66% of total)

ival-sub: 1.0ms (16.5% of total)

ival-add: 1.0ms (16.5% of total)

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

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

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.5266911509453025e+200	2.9464539821199345e+228

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch47.0ms (0.8%)

Memory

-40.2MiB live, 54.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.3120565251361342e+203	5.791020158448897e+208
24.0ms	2.2625804659228628e-92	1.1569660737370204e-86

Samples

29.0ms

288×

valid

Compiler

Compiled 1 147 to 691 computations (39.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sub: 10.0ms (44.4% of total)

ival-mult: 10.0ms (44.4% of total)

ival-add: 2.0ms (8.9% of total)

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

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

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-2.0206522926747975e-294	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-2.0206522926747975e-294	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch10.0ms (0.2%)

Memory

13.9MiB live, 13.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.3788804865352117e+175	3.1765786065274226e+175

Samples

6.0ms

80×

valid

Compiler

Compiled 327 to 191 computations (41.6% saved)

Precisions

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

ival-mult: 3.0ms (79.2% of total)

ival-add: 1.0ms (26.4% of total)

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

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

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

simplify58.0ms (1%)

Memory

1.0MiB live, 50.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	607
1	136	579
2	292	579
3	808	523
4	1989	523
5	6070	523

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x.im #s(literal 3149641043687537/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (.f64 x.im x.re) x.re))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))
(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 199999999999999993946624442502072331894900655091004725296483501900693696871108151068392676809412503736055024831947764816364271468736556969278770082094479755742047182133579963622363626612334257709776896 binary64)) (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 x.im x.re) #s(literal 3 binary64)) x.re)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))))))
(if (<=.f64 x.im #s(literal 6752059925474771/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (.f64 x.im x.re) x.re))) (if (<=.f64 x.im #s(literal 4100000000000000016887398658768791985823614542969178643793006810797845235265014582933929614651817428570609519121733501862907820892961711568792730513089589109136151795448101302452391114355614104902393359499264 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re))))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -5752618031559411/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)))) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) x.re)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -5752618031559411/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)))) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (.f64 x.im x.re) x.re))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))))
(if (<=.f64 x.re #s(literal 22999999999999999608962327229809809651848570126664806705559638662451137469165325109585859572663878553514623096877689720785571148964512892810049835608886032127155997031144620032 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.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 x.im #s(literal 3149641043687537/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (.f64 x.im x.re) x.re))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))
(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 199999999999999993946624442502072331894900655091004725296483501900693696871108151068392676809412503736055024831947764816364271468736556969278770082094479755742047182133579963622363626612334257709776896 binary64)) (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 x.im x.re) #s(literal 3 binary64)) x.re)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 (-.f64 (.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))))))
(if (<=.f64 x.im #s(literal 6752059925474771/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (.f64 x.im x.re) x.re))) (if (<=.f64 x.im #s(literal 4100000000000000016887398658768791985823614542969178643793006810797845235265014582933929614651817428570609519121733501862907820892961711568792730513089589109136151795448101302452391114355614104902393359499264 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.re))))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -5752618031559411/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)))) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) x.re)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))))
(if (or (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -5752618031559411/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456 binary64)) (not (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -5752618031559411/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)))) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (.f64 x.im x.re) x.re))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))))
(if (or (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -5752618031559411/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456 binary64)) (not (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re))))
(if (<=.f64 x.re #s(literal 22999999999999999608962327229809809651848570126664806705559638662451137469165325109585859572663878553514623096877689720785571148964512892810049835608886032127155997031144620032 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (neg.f64 x.im) #s(approx (+ ( x.im x.im) (* -3 (* x.re x.re))) (.f64 x.im x.im)))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.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))

soundness792.0ms (13.1%)

Memory

22.9MiB live, 692.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	315
0	71	315
1	256	284
2	1835	276
0	8375	265
0	57	215
1	202	207
2	773	206
3	4378	206
0	8308	201
0	37	289
0	55	287
1	210	265
2	1453	253
0	8261	238
0	89	383
1	291	365
2	975	365
3	5554	365
0	8498	358
0	11	51
0	20	51
1	89	39
0	691	38

Stop Event

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

Compiler

Compiled 842 to 259 computations (69.2% saved)

preprocess110.0ms (1.8%)

Memory: 8.9MiB live, 245.4MiB allocated
Remove: (abs x.re)
Compiler: Compiled 2 090 to 496 computations (76.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (21.2%)

explain182.0ms (3%)

preprocess242.0ms (4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify153.0ms (2.5%)

localize56.0ms (0.9%)

series12.0ms (0.2%)

simplify206.0ms (3.4%)

rewrite73.0ms (1.2%)

eval12.0ms (0.2%)

prune31.0ms (0.5%)

simplify124.0ms (2.1%)

localize153.0ms (2.5%)

series30.0ms (0.5%)

simplify209.0ms (3.5%)

rewrite218.0ms (3.6%)

eval94.0ms (1.6%)

prune17.0ms (0.3%)

simplify196.0ms (3.2%)

localize102.0ms (1.7%)

series19.0ms (0.3%)

simplify229.0ms (3.8%)

rewrite282.0ms (4.7%)

eval42.0ms (0.7%)

prune56.0ms (0.9%)

simplify186.0ms (3.1%)

localize103.0ms (1.7%)

series44.0ms (0.7%)

simplify205.0ms (3.4%)

rewrite187.0ms (3.1%)

eval95.0ms (1.6%)

prune40.0ms (0.7%)

regimes33.0ms (0.5%)

regimes35.0ms (0.6%)

regimes11.0ms (0.2%)

regimes10.0ms (0.2%)

regimes21.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch16.0ms (0.3%)

bsearch1.0ms (0%)

bsearch47.0ms (0.8%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch10.0ms (0.2%)

simplify58.0ms (1%)

soundness792.0ms (13.1%)

preprocess110.0ms (1.8%)

end0.0ms (0%)

Profiling