Metrics for math.cube on complex, real part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample1.0s (47.5%)

Memory

4.2MiB live, 983.7MiB allocated; 142ms collecting garbage

Samples

708.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 520.0ms

ival-mult: 397.0ms (76.4% of total)

ival-sub: 79.0ms (15.2% of total)

ival-add: 39.0ms (7.5% of total)

adjust: 2.0ms (0.4% of total)

ival-assert: 2.0ms (0.4% of total)

Bogosity

explain193.0ms (9.1%)

Memory

-26.9MiB live, 190.2MiB allocated; 42ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
24	-	-	`(-.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))`
17	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
17	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.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	24	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	120
↳	`(*.f64 x.re x.re)`	overflow	74
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	117
↳	`(*.f64 x.im x.im)`	overflow	60
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	60
↳	`(*.f64 x.im x.re)`	overflow	30
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	30
↳	`(*.f64 x.re x.im)`	overflow	30
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	17	0
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	17	0
↳	`(*.f64 x.re x.re)`	overflow	74
↳	`(*.f64 x.im x.im)`	overflow	60

Confusion

	Predicted +	Predicted -
+	48	0
-	1	207

Precision

0.9795918367346939

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	48	0	0
-	1	0	207

Precision?

0.9795918367346939

Recall?

1.0

Freqs

test

number	freq
0	207
1	40
2	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 20.0ms (73.4% of total)

ival-sub: 4.0ms (14.7% of total)

ival-add: 2.0ms (7.3% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess252.0ms (11.8%)

Memory

27.1MiB live, 206.0MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	118
1	121	104
2	418	102
3	1190	67
4	4057	66
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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.4%	(-.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)

series15.0ms (0.7%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Counts

11 → 29

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
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* -1 (* (pow x.im 2) x.re))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* -1 (pow x.im 2))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (- (pow x.re 2) (pow x.im 2))))
#s(approx (* x.re x.re) #s(hole binary64 (pow x.re 2)))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (* (+ (* x.re x.im) (* x.im x.re)) x.im) #s(hole binary64 (* 2 (* (pow x.im 2) x.re))))
#s(approx (+ (* x.re x.im) (* x.im x.re)) #s(hole binary64 (* 2 (* x.im x.re))))
#s(approx (* x.re x.im) #s(hole binary64 (* x.im x.re)))
#s(approx (* x.im x.re) #s(hole binary64 (* 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)) #s(hole binary64 (pow x.re 3)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (pow x.re 3)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (pow x.re 2)))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (+ (* -1 (pow x.im 2)) (pow x.re 2))))
#s(approx (* x.im x.im) #s(hole binary64 (pow x.im 2)))
#s(approx x.im #s(hole 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)) #s(hole binary64 (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))))

Calls

6 calls:

Time	Variable		Point	Expression
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)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) x.re (* x.im x.im) x.im (* (+ (* x.re x.im) (* x.im x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re))
3.0ms	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) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) x.re (* x.im x.im) x.im (* (+ (* x.re x.im) (* x.im x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re))
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) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) x.re (* x.im x.im) x.im (* (+ (* x.re x.im) (* x.im x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re))
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) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) x.re (* x.im x.im) x.im (* (+ (* x.re x.im) (* x.im x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re))
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) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) x.re (* x.im x.im) x.im (* (+ (* x.re x.im) (* x.im x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re))

rewrite62.0ms (2.9%)

Memory

-2.7MiB live, 43.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	660
0	117	603
0	484	597

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

40 → 75

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)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* -1 (* (pow x.im 2) x.re))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* -1 (pow x.im 2))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (- (pow x.re 2) (pow x.im 2))))
#s(approx (* x.re x.re) #s(hole binary64 (pow x.re 2)))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (* (+ (* x.re x.im) (* x.im x.re)) x.im) #s(hole binary64 (* 2 (* (pow x.im 2) x.re))))
#s(approx (+ (* x.re x.im) (* x.im x.re)) #s(hole binary64 (* 2 (* x.im x.re))))
#s(approx (* x.re x.im) #s(hole binary64 (* x.im x.re)))
#s(approx (* x.im x.re) #s(hole binary64 (* 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)) #s(hole binary64 (pow x.re 3)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (pow x.re 3)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (pow x.re 2)))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (+ (* -1 (pow x.im 2)) (pow x.re 2))))
#s(approx (* x.im x.im) #s(hole binary64 (pow x.im 2)))
#s(approx x.im #s(hole 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)) #s(hole binary64 (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) #s(hole binary64 (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))))
#s(approx (- (* x.re x.re) (* x.im x.im)) #s(hole binary64 (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))))

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

eval8.0ms (0.4%)

Memory: 13.0MiB live, 13.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 108 to 302 computations (85.7% saved)

prune58.0ms (2.7%)

Memory

-16.5MiB live, 40.7MiB allocated; 12ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	81	6	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	7	88

Accuracy

95.0%

Counts

88 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.6%	(fma.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.im))
✓	81.4%	(-.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))
	67.6%	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	85.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 x.re #s(literal -3 binary64)) (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))))
	63.9%	#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)))
▶	90.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (-.f64 (fma.f64 x.re x.re (neg.f64 (.f64 x.im x.im))) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) x.re))
	66.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (neg.f64 (.f64 (-.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)) #s(literal 1 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))

Compiler

Compiled 361 to 209 computations (42.1% saved)

series9.0ms (0.4%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

10 → 34

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

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

Calls

6 calls:

Time	Variable		Point	Expression
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) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (+ (* x.re x.re) (neg (* x.im x.im))) x.re (neg (* x.im x.im)) (* x.im x.im) x.im (* (* x.im x.im) 2) 2)
1.0ms	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) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (+ (* x.re x.re) (neg (* x.im x.im))) x.re (neg (* x.im x.im)) (* x.im x.im) x.im (* (* x.im x.im) 2) 2)
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.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (+ (* x.re x.re) (neg (* x.im x.im))) x.re (neg (* x.im x.im)) (* x.im x.im) x.im (* (* x.im x.im) 2) 2)
1.0ms	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) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (+ (* x.re x.re) (neg (* x.im x.im))) x.re (neg (* x.im x.im)) (* x.im x.im) x.im (* (* x.im x.im) 2) 2)
1.0ms	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) (neg (* x.im x.im))) (* (* x.im x.im) 2)) x.re) (- (+ (* x.re x.re) (neg (* x.im x.im))) (* (* x.im x.im) 2)) (+ (* x.re x.re) (neg (* x.im x.im))) x.re (neg (* x.im x.im)) (* x.im x.im) x.im (* (* x.im x.im) 2) 2)

rewrite43.0ms (2%)

Memory

-31.9MiB live, 15.6MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	916
0	134	774
0	647	740

Stop Event

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

Counts

44 → 99

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

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

eval12.0ms (0.6%)

Memory: 15.6MiB live, 15.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 491 to 473 computations (89.5% saved)

prune194.0ms (9.1%)

Memory

21.0MiB live, 162.9MiB allocated; 8ms collecting garbage

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	114	7	121

Accuracy

95.0%

Counts

121 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.6%	(fma.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.im))
✓	81.4%	(-.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))
	67.6%	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	85.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 x.re #s(literal -3 binary64)) (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))))
	63.9%	#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)))
✓	90.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (-.f64 (fma.f64 x.re x.re (neg.f64 (.f64 x.im x.im))) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) x.re))
	66.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (neg.f64 (.f64 (-.f64 (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)) #s(literal 1 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))

Compiler

Compiled 326 to 190 computations (41.7% saved)

series11.0ms (0.5%)

Memory

-34.9MiB live, 11.3MiB allocated; 3ms collecting garbage

Counts

9 → 20

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)) (fma.f64 (.f64 x.re #s(literal -3 binary64)) (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))))
(fma.f64 (.f64 x.re #s(literal -3 binary64)) (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re #s(literal -3 binary64))
x.re
#s(literal -3 binary64)
(*.f64 x.im x.im)
x.im
(pow.f64 x.re #s(literal 3 binary64))
#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)) #s(hole binary64 (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))))
#s(approx (+ (* (* x.re -3) (* x.im x.im)) (pow x.re 3)) #s(hole binary64 (* -3 (* (pow x.im 2) x.re))))
#s(approx (+ (* (* x.re -3) (* x.im x.im)) (pow x.re 3)) #s(hole binary64 (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))))
#s(approx (* x.re -3) #s(hole binary64 (* -3 x.re)))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (pow x.re 3) #s(hole binary64 (pow x.re 3)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (pow x.re 3)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))))
#s(approx (+ (* (* x.re -3) (* x.im x.im)) (pow x.re 3)) #s(hole binary64 (pow x.re 3)))
#s(approx (+ (* (* x.re -3) (* x.im x.im)) (pow x.re 3)) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (+ (* (* x.re -3) (* x.im x.im)) (pow x.re 3)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))))
#s(approx (+ (* (* x.re -3) (* x.im x.im)) (pow x.re 3)) #s(hole binary64 (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))))
#s(approx (* x.im x.im) #s(hole binary64 (pow x.im 2)))
#s(approx x.im #s(hole 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)) #s(hole binary64 (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))))
#s(approx (+ (* (* x.re -3) (* x.im x.im)) (pow x.re 3)) #s(hole binary64 (* (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.re	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* (* x.re -3) (* x.im x.im)) (pow x.re 3)) (* x.re -3) x.re -3 (* x.im x.im) x.im (pow x.re 3) 3)
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 -3) (* x.im x.im)) (pow x.re 3)) (* x.re -3) x.re -3 (* x.im x.im) x.im (pow x.re 3) 3)
1.0ms	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 -3) (* x.im x.im)) (pow x.re 3)) (* x.re -3) x.re -3 (* x.im x.im) x.im (pow x.re 3) 3)
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 -3) (* x.im x.im)) (pow x.re 3)) (* x.re -3) x.re -3 (* x.im x.im) x.im (pow x.re 3) 3)
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 -3) (* x.im x.im)) (pow x.re 3)) (* x.re -3) x.re -3 (* x.im x.im) x.im (pow x.re 3) 3)

rewrite57.0ms (2.7%)

Memory

-1.8MiB live, 44.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	520
0	93	494
0	481	481

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

29 → 60

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

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

eval6.0ms (0.3%)

Memory: 9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 094 to 209 computations (90% saved)

prune62.0ms (2.9%)

Memory

32.5MiB live, 79.2MiB allocated; 3ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	62	6	68

Accuracy

100.0%

Counts

68 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.6%	(fma.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.im))
✓	81.4%	(-.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))
	88.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.im) x.im (pow.f64 x.re #s(literal 3 binary64))))
✓	85.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 x.re #s(literal -3 binary64)) (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))))
▶	63.9%	#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)))
✓	90.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (-.f64 (fma.f64 x.re x.re (neg.f64 (.f64 x.im x.im))) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) x.re))

Compiler

Compiled 154 to 91 computations (40.9% saved)

series58.0ms (2.7%)

Memory

-26.8MiB live, 26.8MiB allocated; 20ms collecting garbage

Counts

4 → 10

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)) (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)) #s(hole binary64 (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))))
#s(approx (pow x.re 3) #s(hole binary64 (pow x.re 3)))
#s(approx x.re #s(hole 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)) #s(hole binary64 (pow x.re 3)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) #s(hole binary64 (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))))

Calls

6 calls:

Time	Variable		Point	Expression
54.0ms	x.re	@	inf	((- (* (- (* 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 3)
1.0ms	x.re	@	-inf	((- (* (- (* 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 3)
1.0ms	x.re	@	0	((- (* (- (* 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 3)
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)) (pow x.re 3) x.re 3)
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)) (pow x.re 3) x.re 3)

rewrite45.0ms (2.1%)

Memory

-15.6MiB live, 31.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	322
0	58	300
0	335	288

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

14 → 18

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

eval2.0ms (0.1%)

Memory: 2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 482 to 72 computations (85.1% saved)

prune11.0ms (0.5%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	17	6	23

Accuracy

100.0%

Counts

23 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.6%	(fma.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.im))
✓	81.4%	(-.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))
	88.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 (.f64 #s(literal -3 binary64) x.re) x.im) x.im (pow.f64 x.re #s(literal 3 binary64))))
✓	85.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 x.re #s(literal -3 binary64)) (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))))
✓	63.9%	#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)))
✓	90.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (-.f64 (fma.f64 x.re x.re (neg.f64 (.f64 x.im x.im))) (.f64 (.f64 x.im x.im) #s(literal 2 binary64))) x.re))

Compiler

Compiled 374 to 219 computations (41.4% saved)

derivations3.0ms (0.1%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 35 to 19 computations (45.7% saved)

preprocess16.0ms (0.8%)

Memory

19.3MiB live, 19.3MiB allocated; 0ms collecting garbage

Remove

(negabs x.re)

(abs x.im)

Compiler

Compiled 248 to 136 computations (45.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (47.5%)

explain193.0ms (9.1%)

preprocess252.0ms (11.8%)

eval0.0ms (0%)

prune0.0ms (0%)

series15.0ms (0.7%)

rewrite62.0ms (2.9%)

eval8.0ms (0.4%)

prune58.0ms (2.7%)

series9.0ms (0.4%)

rewrite43.0ms (2%)

eval12.0ms (0.6%)

prune194.0ms (9.1%)

series11.0ms (0.5%)

rewrite57.0ms (2.7%)

eval6.0ms (0.3%)

prune62.0ms (2.9%)

series58.0ms (2.7%)

rewrite45.0ms (2.1%)

eval2.0ms (0.1%)

prune11.0ms (0.5%)

derivations3.0ms (0.1%)

preprocess16.0ms (0.8%)

end0.0ms (0%)

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