Metrics for math.cube on complex, real part

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample835.0ms (47.8%)

Memory

19.0MiB live, 845.9MiB allocated; 188ms collecting garbage

Samples

560.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 338.0ms

ival-mult!: 288.0ms (85.3% of total)

ival-sub!: 32.0ms (9.5% of total)

ival-add!: 16.0ms (4.7% of total)

adjust: 1.0ms (0.3% of total)

Bogosity

explain160.0ms (9.2%)

Memory

-0.4MiB live, 284.7MiB allocated; 21ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
20	-	-	`(-.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))`
16	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
13	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
0	-	-	`(*.f64 x.re x.im)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.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	20	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	105
↳	`(*.f64 x.re x.re)`	overflow	62
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	108
↳	`(*.f64 x.im x.im)`	overflow	59
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	59
↳	`(*.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**	16	0
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	13	0
↳	`(*.f64 x.re x.re)`	overflow	62
↳	`(*.f64 x.im x.im)`	overflow	59

Confusion

	Predicted +	Predicted -
+	41	0
-	0	215

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	41	0	0
-	0	0	215

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	215
1	33
2	8

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult!: 13.0ms (77.7% of total)

ival-sub!: 2.0ms (12% of total)

ival-add!: 1.0ms (6% of total)

adjust: 0.0ms (0% of total)

preprocess39.0ms (2.3%)

Memory

-9.6MiB live, 34.4MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	118
1	121	104
2	418	102
3	1190	67
4	4057	66

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.2%	(-.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))

Symmetry

(abs x.im)

(negabs x.re)

Compiler

Compiled 38 to 22 computations (42.1% saved)

series14.0ms (0.8%)

Memory

28.9MiB live, 28.9MiB 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.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))
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))
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))

rewrite102.0ms (5.8%)

Memory

-22.2MiB live, 119.7MiB allocated; 15ms 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)))

eval7.0ms (0.4%)

Memory: 12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 842 to 301 computations (83.7% saved)

prune6.0ms (0.4%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	64	9	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	9	74

Accuracy

95.0%

Counts

74 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.6%	(-.f64 (.f64 (/.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))))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	50.4%	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (neg.f64 (.f64 x.im x.im))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	66.7%	(-.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))
	86.2%	#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 x.re #s(literal -3 binary64)) (.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64))))
▶	59.8%	#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)))
	63.0%	#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 (/.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))))
▶	90.9%	#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))
▶	50.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
	50.4%	#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(literal -3 binary64)) (*.f64 x.im x.im)))

Compiler

Compiled 540 to 302 computations (44.1% saved)

series26.0ms (1.5%)

Memory

-19.7MiB live, 26.8MiB allocated; 2ms collecting garbage

Counts

26 → 54

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

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 (pow x.re 3) #s(hole binary64 (pow x.re 3)))
#s(approx (* (* (* x.im x.im) -3) x.re) #s(hole binary64 (* -3 (* (pow x.im 2) x.re))))
#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.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)) #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) (* 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) #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) (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) #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) (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.im x.im) -3) #s(hole binary64 (* -3 (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)) (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.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))))
#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
12.0ms	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.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 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) 3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) -3 (- (* (- (* 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.im) (* x.im x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re 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)) (* (- (+ (* 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 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) 3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) -3 (- (* (- (* 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.im) (* x.im x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)))
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) (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 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) 3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) -3 (- (* (- (* 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.im) (* x.im x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re 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)) (* (- (+ (* 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 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) 3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) -3 (- (* (- (* 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.im) (* x.im x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im 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) (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 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) 3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (* (* x.im x.im) -3) -3 (- (* (- (* 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.im) (* x.im x.re)) x.im) (+ (* x.re x.im) (* x.im x.re)) (* x.re x.im) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)))

rewrite61.0ms (3.5%)

Memory

12.9MiB live, 69.5MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	1415
0	196	1227
0	794	1202

Stop Event

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

Counts

80 → 175

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

eval21.0ms (1.2%)

Memory: 12.6MiB live, 58.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 7 224 to 756 computations (89.5% saved)

prune12.0ms (0.7%)

Memory

-18.6MiB live, 27.6MiB allocated; 4ms collecting garbage

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	201	8	209
Fresh	1	3	4
Picked	3	2	5
Done	0	0	0
Total	205	13	218

Accuracy

95.0%

Counts

218 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.4%	(fma.f64 #s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (.f64 (neg.f64 x.im) x.im)) x.re (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.im))
	18.6%	(-.f64 (.f64 (/.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))))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	23.0%	(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (/.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))))) x.im))
	66.7%	(-.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.im x.re) #s(literal 2 binary64)) x.im))
✓	59.8%	#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)))
	63.0%	#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 (/.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))))
▶	88.9%	#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))
▶	50.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
✓	50.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
	59.7%	#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))
	50.4%	#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(literal -3 binary64)) (*.f64 x.im x.im)))
▶	50.4%	#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.im (*.f64 x.im #s(literal -3 binary64))) x.re))
▶	58.1%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (exp.f64 (*.f64 (log.f64 x.re) #s(literal 3 binary64))))

Compiler

Compiled 722 to 394 computations (45.4% saved)

series76.0ms (4.4%)

Memory

10.3MiB live, 149.6MiB allocated; 17ms collecting garbage

Counts

29 → 56

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 (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)
(fma.f64 (.f64 x.im x.im) #s(literal -3 binary64) (.f64 x.re x.re))
(*.f64 x.im x.im)
x.im
#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)) (exp.f64 (*.f64 (log.f64 x.re) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 3 binary64)))
(*.f64 (log.f64 x.re) #s(literal 3 binary64))
(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)) (.f64 (.f64 x.im (*.f64 x.im #s(literal -3 binary64))) x.re))
(.f64 (.f64 x.im (*.f64 x.im #s(literal -3 binary64))) x.re)
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
(*.f64 x.im #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)))
(.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(.f64 (.f64 x.im x.im) x.re)
(fma.f64 #s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (.f64 (neg.f64 x.im) x.im)) x.re (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re))) x.im))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.im)
(neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re)))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
#s(literal 2 binary64)
(*.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.im x.im) -3) (* x.re x.re)) x.re) #s(hole binary64 (* -3 (* (pow x.im 2) x.re))))
#s(approx (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) #s(hole binary64 (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))))
#s(approx (+ (* (* x.im x.im) -3) (* x.re x.re)) #s(hole binary64 (* -3 (pow x.im 2))))
#s(approx (+ (* (* x.im x.im) -3) (* x.re x.re)) #s(hole binary64 (+ (* -3 (pow x.im 2)) (pow x.re 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 (exp (* (log x.re) 3)) #s(hole binary64 (pow x.re 3)))
#s(approx (* (log x.re) 3) #s(hole binary64 (* 3 (log x.re))))
#s(approx (log x.re) #s(hole binary64 (log x.re)))
#s(approx (* (* x.im (* x.im -3)) x.re) #s(hole binary64 (* -3 (* (pow x.im 2) x.re))))
#s(approx (* (* (* x.im x.im) x.re) -3) #s(hole binary64 (* -3 (* (pow x.im 2) x.re))))
#s(approx (* (* x.im x.im) x.re) #s(hole binary64 (* (pow x.im 2) x.re)))
#s(approx (+ (* (+ (* x.re x.re) (neg (* x.im x.im))) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))))
#s(approx (+ (* (+ (* x.re x.re) (neg (* x.im x.im))) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (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))))
#s(approx (+ (* x.re x.re) (neg (* x.im x.im))) #s(hole binary64 (- (pow x.re 2) (pow x.im 2))))
#s(approx (* (neg (* 2 (* x.im x.re))) x.im) #s(hole binary64 (* -2 (* (pow x.im 2) x.re))))
#s(approx (neg (* 2 (* x.im x.re))) #s(hole binary64 (* -2 (* x.im x.re))))
#s(approx (* 2 (* x.im x.re)) #s(hole binary64 (* 2 (* 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.im x.im) -3) (* x.re x.re)) x.re) #s(hole binary64 (pow x.re 3)))
#s(approx (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) #s(hole binary64 (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (+ (* (* x.im x.im) -3) (* x.re x.re)) #s(hole binary64 (pow x.re 2)))
#s(approx (+ (* (* x.im x.im) -3) (* x.re x.re)) #s(hole binary64 (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))))
#s(approx (* (log x.re) 3) #s(hole binary64 (* -3 (log (/ 1 x.re)))))
#s(approx (log x.re) #s(hole binary64 (* -1 (log (/ 1 x.re)))))
#s(approx (+ (* (+ (* x.re x.re) (neg (* x.im x.im))) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (pow x.re 3)))
#s(approx (+ (* (+ (* x.re x.re) (neg (* x.im x.im))) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.re 3) (- (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 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.im x.im) -3) (* x.re x.re)) x.re) #s(hole binary64 (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))))
#s(approx (* (log x.re) 3) #s(hole binary64 (* 3 (+ (log -1) (* -1 (log (/ -1 x.re)))))))
#s(approx (log x.re) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x.re))))))
#s(approx (+ (* (+ (* x.re x.re) (neg (* x.im x.im))) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #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.im x.im) -3) (* x.re x.re)) x.re) #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.im (* x.im -3)) #s(hole binary64 (* -3 (pow x.im 2))))
#s(approx (* x.im -3) #s(hole binary64 (* -3 x.im)))
#s(approx (+ (* (+ (* x.re x.re) (neg (* x.im x.im))) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (+ (* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re))) (pow x.re 3))))
#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 (neg x.im) #s(hole binary64 (* -1 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.im x.im) -3) (* x.re x.re)) x.re) #s(hole binary64 (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))))
#s(approx (+ (* (* x.im x.im) -3) (* x.re x.re)) #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))) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))))
#s(approx (+ (* (+ (* x.re x.re) (neg (* x.im x.im))) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) #s(hole binary64 (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))))))
#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
28.0ms	x.re	@	0	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) (+ (* (* x.im x.im) -3) (* x.re x.re)) (* x.im x.im) x.im -3 (* 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)) (exp (* (log x.re) 3)) (* (log x.re) 3) (log 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.im -3)) x.re) (* x.im (* x.im -3)) (* x.im -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) x.re) -3) (* (* x.im x.im) x.re) (+ (* (+ (* x.re x.re) (neg (* x.im x.im))) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (+ (* x.re x.re) (neg (* x.im x.im))) (* (neg x.im) x.im) (neg x.im) (* (neg (* 2 (* x.im x.re))) x.im) (neg (* 2 (* x.im x.re))) (* 2 (* x.im x.re)) 2 (* x.im x.re))
24.0ms	x.re	@	-inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) (+ (* (* x.im x.im) -3) (* x.re x.re)) (* x.im x.im) x.im -3 (* 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)) (exp (* (log x.re) 3)) (* (log x.re) 3) (log 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.im -3)) x.re) (* x.im (* x.im -3)) (* x.im -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) x.re) -3) (* (* x.im x.im) x.re) (+ (* (+ (* x.re x.re) (neg (* x.im x.im))) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (+ (* x.re x.re) (neg (* x.im x.im))) (* (neg x.im) x.im) (neg x.im) (* (neg (* 2 (* x.im x.re))) x.im) (neg (* 2 (* x.im x.re))) (* 2 (* x.im x.re)) 2 (* x.im x.re))
15.0ms	x.re	@	inf	((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (* x.im x.im) -3) (* x.re x.re)) x.re) (+ (* (* x.im x.im) -3) (* x.re x.re)) (* x.im x.im) x.im -3 (* 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)) (exp (* (log x.re) 3)) (* (log x.re) 3) (log 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.im -3)) x.re) (* x.im (* x.im -3)) (* x.im -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) x.re) -3) (* (* x.im x.im) x.re) (+ (* (+ (* x.re x.re) (neg (* x.im x.im))) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (+ (* x.re x.re) (neg (* x.im x.im))) (* (neg x.im) x.im) (neg x.im) (* (neg (* 2 (* x.im x.re))) x.im) (neg (* 2 (* x.im x.re))) (* 2 (* x.im x.re)) 2 (* 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.im x.im) -3) (* x.re x.re)) x.re) (+ (* (* x.im x.im) -3) (* x.re x.re)) (* x.im x.im) x.im -3 (* 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)) (exp (* (log x.re) 3)) (* (log x.re) 3) (log 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.im -3)) x.re) (* x.im (* x.im -3)) (* x.im -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) x.re) -3) (* (* x.im x.im) x.re) (+ (* (+ (* x.re x.re) (neg (* x.im x.im))) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (+ (* x.re x.re) (neg (* x.im x.im))) (* (neg x.im) x.im) (neg x.im) (* (neg (* 2 (* x.im x.re))) x.im) (neg (* 2 (* x.im x.re))) (* 2 (* x.im x.re)) 2 (* 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.im x.im) -3) (* x.re x.re)) x.re) (+ (* (* x.im x.im) -3) (* x.re x.re)) (* x.im x.im) x.im -3 (* 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)) (exp (* (log x.re) 3)) (* (log x.re) 3) (log 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.im -3)) x.re) (* x.im (* x.im -3)) (* x.im -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) x.re) -3) (* (* x.im x.im) x.re) (+ (* (+ (* x.re x.re) (neg (* x.im x.im))) x.re) (* (neg (* 2 (* x.im x.re))) x.im)) (+ (* x.re x.re) (neg (* x.im x.im))) (* (neg x.im) x.im) (neg x.im) (* (neg (* 2 (* x.im x.re))) x.im) (neg (* 2 (* x.im x.re))) (* 2 (* x.im x.re)) 2 (* x.im x.re))

rewrite54.0ms (3.1%)

Memory

19.2MiB live, 66.0MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	1374
0	235	1233
0	960	1206

Stop Event

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

Counts

85 → 233

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

eval28.0ms (1.6%)

Memory: -39.2MiB live, 56.4MiB allocated; 10ms collecting garbage
Compiler: Compiled 6 534 to 736 computations (88.7% saved)

prune8.0ms (0.5%)

Memory

22.3MiB live, 22.3MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	193	4	197
Fresh	4	2	6
Picked	3	2	5
Done	0	2	2
Total	200	10	210

Accuracy

100.0%

Counts

210 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.6%	(-.f64 (.f64 (/.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))))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	58.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 (exp.f64 (log.f64 x.re)) #s(literal 3 binary64)))
✓	59.8%	#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)))
✓	88.9%	#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))
✓	50.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
▶	59.7%	#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))
▶	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 x.im (*.f64 x.im x.re)) #s(literal -3 binary64)))
▶	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 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
✓	58.1%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (exp.f64 (*.f64 (log.f64 x.re) #s(literal 3 binary64))))
▶	58.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (exp.f64 (log.f64 (pow.f64 x.re #s(literal 3 binary64)))))

Compiler

Compiled 453 to 255 computations (43.7% saved)

series55.0ms (3.2%)

Memory

-5.4MiB live, 133.2MiB allocated; 9ms collecting garbage

Counts

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

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	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.re) (* 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)) (exp (log (pow x.re 3))) (log (pow x.re 3)) (pow x.re 3) 3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow (exp (log x.re)) 3) (exp (log x.re)) (log x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* -3 x.im) x.re)) x.im (* (* -3 x.im) x.re) (* -3 x.im) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im (* x.im x.re)) -3) (* x.im (* x.im x.re)) (* x.im x.re))
17.0ms	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.re) (* 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)) (exp (log (pow x.re 3))) (log (pow x.re 3)) (pow x.re 3) 3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow (exp (log x.re)) 3) (exp (log x.re)) (log x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* -3 x.im) x.re)) x.im (* (* -3 x.im) x.re) (* -3 x.im) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im (* x.im x.re)) -3) (* x.im (* x.im x.re)) (* x.im x.re))
15.0ms	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.re) (* 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)) (exp (log (pow x.re 3))) (log (pow x.re 3)) (pow x.re 3) 3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow (exp (log x.re)) 3) (exp (log x.re)) (log x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* -3 x.im) x.re)) x.im (* (* -3 x.im) x.re) (* -3 x.im) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im (* x.im x.re)) -3) (* x.im (* x.im x.re)) (* 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.re) (* 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)) (exp (log (pow x.re 3))) (log (pow x.re 3)) (pow x.re 3) 3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow (exp (log x.re)) 3) (exp (log x.re)) (log x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* -3 x.im) x.re)) x.im (* (* -3 x.im) x.re) (* -3 x.im) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im (* x.im x.re)) -3) (* x.im (* x.im x.re)) (* 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.re) (* 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)) (exp (log (pow x.re 3))) (log (pow x.re 3)) (pow x.re 3) 3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow (exp (log x.re)) 3) (exp (log x.re)) (log x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* -3 x.im) x.re)) x.im (* (* -3 x.im) x.re) (* -3 x.im) -3 (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im (* x.im x.re)) -3) (* x.im (* x.im x.re)) (* x.im x.re))

rewrite70.0ms (4%)

Memory

1.4MiB live, 92.2MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	655
0	141	607
0	505	590

Stop Event

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

Counts

51 → 96

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

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

eval5.0ms (0.3%)

Memory: 9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 561 to 220 computations (85.9% saved)

prune9.0ms (0.5%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	1	1
Picked	0	5	5
Done	0	4	4
Total	53	10	63

Accuracy

100.0%

Counts

63 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.6%	(-.f64 (.f64 (/.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))))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓	58.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 (exp.f64 (log.f64 x.re)) #s(literal 3 binary64)))
✓	59.8%	#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)))
✓	88.9%	#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))
✓	50.4%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
✓	59.7%	#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))
✓	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 x.im (*.f64 x.im x.re)) #s(literal -3 binary64)))
✓	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 x.im (.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
✓	58.1%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (exp.f64 (*.f64 (log.f64 x.re) #s(literal 3 binary64))))
✓	58.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (exp.f64 (log.f64 (pow.f64 x.re #s(literal 3 binary64)))))

Compiler

Compiled 900 to 268 computations (70.2% saved)

regimes20.0ms (1.1%)

Memory

-11.2MiB live, 36.1MiB allocated; 3ms collecting garbage

Counts

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

Calls

3 calls:

7.0ms	x.im
6.0ms	x.re
5.0ms	(-.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
97.6%	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))`
98.5%	3	`x.re`
96.6%	2	`x.im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Counts

7 → 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)) (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)) (exp.f64 (log.f64 (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)) (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)) (.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 (exp.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)) (.f64 x.im (.f64 (*.f64 #s(literal -3 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)) (.f64 (.f64 x.im (*.f64 x.im #s(literal -3 binary64))) 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 x.im (*.f64 (*.f64 #s(literal -3 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)) (pow.f64 x.re #s(literal 3 binary64)))

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
97.6%	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 19 to 11 computations (42.1% saved)

regimes7.0ms (0.4%)

Memory

-32.7MiB live, 13.9MiB allocated; 1ms collecting garbage

Accuracy

Total -1.2b remaining (-4.6%)

Threshold costs -1.2b (-4.6%)

Counts

5 → 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)) (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)) (exp.f64 (log.f64 (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)) (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)) (.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 (exp.f64 (log.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)) (pow.f64 x.re #s(literal 3 binary64)))

Calls

3 calls:

3.0ms	x.im
2.0ms	x.re
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
59.8%	1	`x.im`
59.8%	1	`x.re`
59.8%	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

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.3267397e-317	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.3267397e-317	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

derivations11.0ms (0.6%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 167 to 35 computations (79% saved)

preprocess116.0ms (6.7%)

Memory

22.3MiB live, 164.7MiB allocated; 49ms collecting garbage

Remove

(negabs x.re)

(abs x.im)

Compiler

Compiled 1 328 to 514 computations (61.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample835.0ms (47.8%)

explain160.0ms (9.2%)

preprocess39.0ms (2.3%)

series14.0ms (0.8%)

rewrite102.0ms (5.8%)

eval7.0ms (0.4%)

prune6.0ms (0.4%)

series26.0ms (1.5%)

rewrite61.0ms (3.5%)

eval21.0ms (1.2%)

prune12.0ms (0.7%)

series76.0ms (4.4%)

rewrite54.0ms (3.1%)

eval28.0ms (1.6%)

prune8.0ms (0.5%)

series55.0ms (3.2%)

rewrite70.0ms (4%)

eval5.0ms (0.3%)

prune9.0ms (0.5%)

regimes20.0ms (1.1%)

regimes3.0ms (0.1%)

regimes7.0ms (0.4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

derivations11.0ms (0.6%)

preprocess116.0ms (6.7%)

end0.0ms (0%)

Profiling