Metrics for math.cube on complex, real part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

sample1.5s (26.7%)

Memory

17.4MiB live, 1 831.0MiB allocated; 443ms collecting garbage

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 789.0ms

ival-mult: 503.0ms (63.7% of total)

ival-sub: 137.0ms (17.4% of total)

ival-add: 137.0ms (17.4% of total)

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

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

adjust: 2.0ms (0.3% of total)

Bogosity

explain217.0ms (3.8%)

Memory

-13.1MiB live, 278.0MiB allocated; 41ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`	nan-rescue	27	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	131
↳	`(*.f64 x.re x.re)`	overflow	66
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	120
↳	`(*.f64 x.im x.im)`	overflow	73
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	78
↳	`(*.f64 x.im x.re)`	overflow	39
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	39
↳	`(*.f64 x.re x.im)`	overflow	39
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	19	0
↳	`(*.f64 x.re x.re)`	overflow	66
↳	`(*.f64 x.im x.im)`	overflow	73
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	15	0

Confusion

	Predicted +	Predicted -
+	52	0
-	0	204

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	52	0	0
-	0	0	204

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	204
1	43
2	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

64.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

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

ival-mult: 40.0ms (84.2% of total)

ival-sub: 5.0ms (10.5% of total)

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

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

adjust: 0.0ms (0% of total)

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

preprocess360.0ms (6.2%)

Memory

34.1MiB live, 399.1MiB allocated; 83ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	103
1	105	87
2	385	85
3	1115	56
4	3914	55
0	11	19
0	20	19
1	43	17
2	140	17
3	482	14
4	1384	11
5	4695	11
0	8744	10

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x.im)

(negabs x.re)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.0%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify334.0ms (5.8%)

Memory

-15.7MiB live, 370.7MiB allocated; 55ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
cost-diff	2	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	7	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	65
0	20	65
1	43	59
2	140	59
3	482	56
4	1384	53
5	4695	53
0	8744	52

Stop Event

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

Calls

Call 1

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

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

localize40.0ms (0.7%)

Memory

8.0MiB live, 53.0MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.125	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	3.562672746753171	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy	4.292948108302059	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	5.468750000000001	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Samples

32.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

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

ival-mult: 20.0ms (85.3% of total)

ival-sub: 2.0ms (8.5% of total)

ival-add: 1.0ms (4.3% of total)

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

adjust: 0.0ms (0% of total)

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

series19.0ms (0.3%)

Memory

-29.6MiB live, 22.9MiB allocated; 19ms collecting garbage

Counts

5 → 22

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x.im	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.re	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.re	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms	x.im	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify235.0ms (4.1%)

Memory

20.7MiB live, 295.8MiB allocated; 87ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	229
1	172	207
2	669	206
3	3812	206
0	8304	200

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

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

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

rewrite49.0ms (0.9%)

Memory

27.2MiB live, 74.4MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 115

Calls

Call 1

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

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

eval55.0ms (0.9%)

Memory: -41.5MiB live, 59.9MiB allocated; 12ms collecting garbage
Compiler: Compiled 3 178 to 470 computations (85.2% saved)

prune3.0ms (0%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	127	4	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	4	132

Accuracy

100.0%

Counts

132 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
▶	87.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
▶	76.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
▶	56.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))

Compiler

Compiled 114 to 66 computations (42.1% saved)

simplify316.0ms (5.5%)

Memory

-50.0MiB live, 320.2MiB allocated; 88ms collecting garbage

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	210
0	44	210
1	98	202
2	307	202
3	1021	190
4	4309	186
0	8193	182

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

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

localize142.0ms (2.5%)

Memory

1.0MiB live, 191.2MiB allocated; 28ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x.re #s(literal 3 binary64))
accuracy	27.18165585574735	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
accuracy	0.0	(*.f64 x.im x.im)
accuracy	0.0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
accuracy	3.5264689882544467	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
accuracy	4.386698108302059	(fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re))
accuracy	0.1171875	(/.f64 (/.f64 x.re x.im) x.im)
accuracy	0.3658511959633165	(*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)))
accuracy	1.7221551091113934	(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))
accuracy	12.48928047461334	(.f64 (.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.125	(.f64 (.f64 x.im x.re) x.im)
accuracy	0.16796875	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im))
accuracy	27.951379313798785	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))

Samples

79.0ms	238×	0	valid
9.0ms	7×	4	valid
3.0ms	4×	3	valid
3.0ms	5×	2	valid
1.0ms	2×	1	valid

Compiler

Compiled 179 to 27 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 52.0ms (67.6% of total)

adjust: 8.0ms (10.4% of total)

ival-div: 5.0ms (6.5% of total)

ival-add: 5.0ms (6.5% of total)

ival-pow: 4.0ms (5.2% of total)

ival-sub: 3.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series41.0ms (0.7%)

Memory

1.4MiB live, 46.0MiB allocated; 7ms collecting garbage

Counts

15 → 35

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	x.im	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (/ (/ x.re x.im) x.im))
4.0ms	x.re	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (/ (/ x.re x.im) x.im))
4.0ms	x.re	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (/ (/ x.re x.im) x.im))
3.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (/ (/ x.re x.im) x.im))
2.0ms	x.im	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.re) x.im)) (* (* x.im x.re) x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (/ (/ x.re x.im) x.im))

simplify257.0ms (4.5%)

Memory

46.3MiB live, 320.9MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	360
1	202	326
2	779	326
3	5333	326
0	9201	308

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 35

Calls

Call 1

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

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

rewrite185.0ms (3.2%)

Memory

-46.2MiB live, 69.8MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	190
0	44	190
1	176	174
0	1234	170

Stop Event

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

Counts

15 → 172

Calls

Call 1

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

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

eval20.0ms (0.4%)

Memory: 25.3MiB live, 25.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 7 609 to 750 computations (90.1% saved)

prune32.0ms (0.6%)

Memory

-27.3MiB live, 18.4MiB allocated; 6ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	206	5	211
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	207	8	215

Accuracy

100.0%

Counts

215 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
✓	87.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
▶	56.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
▶	41.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)))) (.f64 x.im x.im)))
▶	50.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im x.im)))
▶	57.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))
▶	50.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
✓	56.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))

Compiler

Compiled 398 to 229 computations (42.5% saved)

simplify192.0ms (3.3%)

Memory

17.8MiB live, 161.2MiB allocated; 18ms collecting garbage

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	325
0	50	325
1	108	311
2	325	311
3	981	296
4	2500	281
5	5844	281
0	9023	268

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

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

localize116.0ms (2%)

Memory

-2.4MiB live, 87.9MiB allocated; 9ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.23046875	(*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))
accuracy	0.3658511959633165	(.f64 x.re #s(approx (+ ( (/ (/ x.re x.im) x.im) x.re) -3) (*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))))
accuracy	12.48928047461334	(.f64 (.f64 x.re #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)))) (.f64 x.im x.im))
accuracy	32.370796590256134	#s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)))
accuracy	0.0	(*.f64 #s(literal -3 binary64) x.re)
accuracy	0.140625	(.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
accuracy	0.1953125	(.f64 (.f64 #s(literal -3 binary64) x.re) x.im)
accuracy	27.951379313798785	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
accuracy	0.0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im x.im)))
accuracy	0.3658511959633165	(.f64 x.re #s(approx (+ ( (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64)))
accuracy	12.48928047461334	(.f64 (.f64 x.re #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im x.im))
accuracy	30.878305641467467	#s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))
accuracy	0.0	(*.f64 x.im x.im)
accuracy	0.16015625	(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
accuracy	7.860505813048612	(.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
accuracy	27.951379313798785	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
accuracy	0.0	(*.f64 x.re x.re)
accuracy	0.0703125	(.f64 (.f64 x.re x.re) x.re)
accuracy	27.18165585574735	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))

Samples

74.0ms	238×	0	valid
5.0ms	7×	4	valid
2.0ms	5×	2	valid
2.0ms	4×	3	valid
1.0ms	2×	1	valid

Compiler

Compiled 233 to 27 computations (88.4% saved)

Precisions

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

ival-mult: 56.0ms (82.7% of total)

ival-div: 4.0ms (5.9% of total)

adjust: 3.0ms (4.4% of total)

ival-add: 3.0ms (4.4% of total)

ival-sub: 2.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory

21.0MiB live, 21.0MiB allocated; 0ms collecting garbage

Counts

20 → 30

Calls

Call 1

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

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

Calls

6 calls:

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

simplify180.0ms (3.1%)

Memory

2.3MiB live, 154.4MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	315
1	195	281
2	749	281
3	4639	281
0	8256	266

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 30

Calls

Call 1

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

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

rewrite53.0ms (0.9%)

Memory

-4.7MiB live, 41.2MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	304
0	50	274
1	172	254
0	1133	249

Stop Event

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

Counts

20 → 144

Calls

Call 1

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

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

eval47.0ms (0.8%)

Memory: -19.8MiB live, 33.7MiB allocated; 7ms collecting garbage
Compiler: Compiled 6 451 to 617 computations (90.4% saved)

prune61.0ms (1.1%)

Memory

-13.6MiB live, 33.9MiB allocated; 1ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	175	2	177
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	177	8	185

Accuracy

100.0%

Counts

185 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
✓	87.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
▶	56.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
▶	32.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 x.im x.im)))
✓	50.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im x.im)))
✓	57.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))
✓	50.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
✓	56.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))

Compiler

Compiled 239 to 138 computations (42.3% saved)

simplify252.0ms (4.4%)

Memory

39.4MiB live, 229.5MiB allocated; 21ms collecting garbage

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	162
0	34	162
1	78	158
2	258	158
3	888	152
4	2367	146
5	5805	146
0	8660	140

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

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

localize62.0ms (1.1%)

Memory

-2.8MiB live, 44.5MiB allocated; 1ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x.im x.re)
accuracy	0.140625	(.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im)
accuracy	0.2265625	(.f64 (.f64 x.im x.re) #s(literal -3 binary64))
accuracy	27.951379313798785	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
accuracy	0.3658511959633165	(.f64 x.re #s(approx (+ ( (/ (/ x.re x.im) x.im) x.re) -3) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
accuracy	12.48928047461334	(.f64 (.f64 x.re #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 x.im x.im))
accuracy	14.652810844345227	(/.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	32.370796590256134	#s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Samples

41.0ms	238×	0	valid
4.0ms	7×	4	valid
2.0ms	5×	2	valid
2.0ms	4×	3	valid
1.0ms	2×	1	valid

Compiler

Compiled 108 to 23 computations (78.7% saved)

Precisions

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

ival-mult: 26.0ms (67.4% of total)

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

adjust: 3.0ms (7.8% of total)

ival-add: 3.0ms (7.8% of total)

ival-sub: 2.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory

-21.3MiB live, 23.0MiB allocated; 6ms collecting garbage

Counts

9 → 28

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) -3) x.im) (* (* x.im x.re) -3) (* x.im x.re) (/ (* x.re x.re) (* x.im x.im)))
2.0ms	x.re	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) -3) x.im) (* (* x.im x.re) -3) (* x.im x.re) (/ (* x.re x.re) (* x.im x.im)))
2.0ms	x.im	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) -3) x.im) (* (* x.im x.re) -3) (* x.im x.re) (/ (* x.re x.re) (* x.im x.im)))
2.0ms	x.re	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) -3) x.im) (* (* x.im x.re) -3) (* x.im x.re) (/ (* x.re x.re) (* x.im x.im)))
2.0ms	x.im	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.re) -3) x.im) (* (* x.im x.re) -3) (* x.im x.re) (/ (* x.re x.re) (* x.im x.im)))

simplify157.0ms (2.7%)

Memory

20.9MiB live, 165.4MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	307
1	196	273
2	750	273
3	4666	273
0	8283	258

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 28

Calls

Call 1

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

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

rewrite55.0ms (0.9%)

Memory

-17.9MiB live, 29.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	151
0	34	151
1	143	125
0	1046	123

Stop Event

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

Counts

9 → 58

Calls

Call 1

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

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

eval7.0ms (0.1%)

Memory: 10.6MiB live, 10.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 971 to 323 computations (89.1% saved)

prune12.0ms (0.2%)

Memory

14.1MiB live, 14.1MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	76	8	84

Accuracy

100.0%

Counts

84 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
✓	87.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
✓	56.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
✓	32.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (*.f64 x.im x.im)))
✓	50.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im x.im)))
✓	57.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))
✓	50.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
✓	56.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.re) x.im)))

Compiler

Compiled 601 to 205 computations (65.9% saved)

regimes38.0ms (0.7%)

Memory

-11.8MiB live, 41.7MiB allocated; 5ms collecting garbage

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

31.0ms	x.im
4.0ms	x.re
3.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
99.9%	3	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
95.6%	3	`x.re`
96.4%	2	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes28.0ms (0.5%)

Memory

-31.5MiB live, 12.8MiB allocated; 5ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

25.0ms	x.im
3.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
96.4%	2	`x.im`
95.6%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.6%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
82.1%	2	`x.im`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
95.5%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes3.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
57.5%	1	`x.im`
57.5%	1	`x.re`
57.5%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.1528359098919932e+288	-2.480760653033516e+267

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch10.0ms (0.2%)

Memory

16.9MiB live, 16.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.976023404181895e+150	2.3726743388939123e+151

Samples

6.0ms

80×

valid

Compiler

Compiled 307 to 191 computations (37.8% saved)

Precisions

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

ival-mult: 3.0ms (76.1% of total)

ival-sub: 1.0ms (25.4% of total)

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

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

adjust: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.1837e-320	-0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.1837e-320	-0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify95.0ms (1.6%)

Memory

-34.3MiB live, 57.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	358
1	83	340
2	199	340
3	556	313
4	1465	304
5	4800	304

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -1000000000000000007630473539575035660514778335511710750780086664439969510636494954611131549135839186513983455555395220895687860544809584999829725260594873271087399626486606146442550988840016917394626449536395208620267012778077787723395914064607119962069483324573977857832138825282954985472 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) x.im)) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))))
(if (<=.f64 x.im #s(literal 23000000000000000831186479483371674044498424126705267359969171836350908073292455974573614376619452315976486135208287856467454554583604674494920440938496 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re)) x.re)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -1265/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) x.im)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -1265/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.re) x.im))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))

Outputs
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -1000000000000000007630473539575035660514778335511710750780086664439969510636494954611131549135839186513983455555395220895687860544809584999829725260594873271087399626486606146442550988840016917394626449536395208620267012778077787723395914064607119962069483324573977857832138825282954985472 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) x.im)) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal +inf.0 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))))
(if (<=.f64 x.im #s(literal 23000000000000000831186479483371674044498424126705267359969171836350908073292455974573614376619452315976486135208287856467454554583604674494920440938496 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.im x.im) (.f64 x.re x.re)) x.re)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -1265/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (.f64 x.im x.re) #s(literal -3 binary64)) x.im)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -1265/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.re) x.im))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.re x.re) x.re))

derivations398.0ms (6.9%)

Memory

17.2MiB live, 264.1MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	304
0	50	274
1	172	254
0	1133	249
0	30	190
0	44	190
1	176	174
0	1234	170
0	56	229
1	172	207
2	669	206
3	3812	206
0	8304	200

Stop Event

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

Compiler

Compiled 358 to 51 computations (85.8% saved)

preprocess118.0ms (2%)

Memory: -6.6MiB live, 132.0MiB allocated; 19ms collecting garbage
Remove: (abs x.im)
Compiler: Compiled 1 532 to 362 computations (76.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (26.7%)

explain217.0ms (3.8%)

preprocess360.0ms (6.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify334.0ms (5.8%)

localize40.0ms (0.7%)

series19.0ms (0.3%)

simplify235.0ms (4.1%)

rewrite49.0ms (0.9%)

eval55.0ms (0.9%)

prune3.0ms (0%)

simplify316.0ms (5.5%)

localize142.0ms (2.5%)

series41.0ms (0.7%)

simplify257.0ms (4.5%)

rewrite185.0ms (3.2%)

eval20.0ms (0.4%)

prune32.0ms (0.6%)

simplify192.0ms (3.3%)

localize116.0ms (2%)

series18.0ms (0.3%)

simplify180.0ms (3.1%)

rewrite53.0ms (0.9%)

eval47.0ms (0.8%)

prune61.0ms (1.1%)

simplify252.0ms (4.4%)

localize62.0ms (1.1%)

series16.0ms (0.3%)

simplify157.0ms (2.7%)

rewrite55.0ms (0.9%)

eval7.0ms (0.1%)

prune12.0ms (0.2%)

regimes38.0ms (0.7%)

regimes28.0ms (0.5%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

bsearch1.0ms (0%)

bsearch10.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify95.0ms (1.6%)

derivations398.0ms (6.9%)

preprocess118.0ms (2%)

end0.0ms (0%)

Profiling