Metrics for _multiplyComplex, imaginary part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 9 to 9 computations (0% saved)

sample780.0ms (55%)

Memory

-9.1MiB live, 1 075.2MiB allocated; 287ms collecting garbage

Samples

505.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

ival-mult!: 112.0ms (56% of total)

ival-add!: 86.0ms (43% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

explain56.0ms (3.9%)

Memory

11.5MiB live, 105.3MiB allocated; 4ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 x.im y.re)`
-	-	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
-	-	`x.re`
-	-	`y.re`
-	-	`(*.f64 x.re y.im)`
-	-	`y.im`
-	-	`x.im`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

22.0ms

512×

valid

Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions

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

ival-mult!: 5.0ms (68.5% of total)

ival-add!: 2.0ms (27.4% of total)

adjust: 0.0ms (0% of total)

preprocess9.0ms (0.7%)

Memory

18.7MiB live, 18.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	109
1	77	105
2	147	105
3	225	105
4	244	105
5	250	105

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Symmetry

(sort x.re y.im)

(sort x.im y.re)

Compiler

Compiled 14 to 14 computations (0% saved)

series8.0ms (0.6%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Counts

7 → 17

Calls

Call 1

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

Outputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.im y.re)))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (+ (* x.im y.re) (* x.re y.im))))
#s(approx (* x.re y.im) #s(hole binary64 (* x.re y.im)))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.re y.im)))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.re (+ y.im (/ (* x.im y.re) x.re)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))))
#s(approx (* x.im y.re) #s(hole binary64 (* x.im y.re)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.im (+ y.re (/ (* x.re y.im) x.im)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))))
#s(approx y.re #s(hole binary64 y.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* y.re (+ x.im (/ (* x.re y.im) y.re)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))))
#s(approx y.im #s(hole binary64 y.im))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* y.im (+ x.re (/ (* x.im y.re) y.im)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))))

Calls

12 calls:

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

rewrite199.0ms (14%)

Memory

-18.6MiB live, 255.0MiB allocated; 82ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	240
0	63	216
1	315	216
2	2542	216
0	8382	195

Stop Event

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

Counts

24 → 69

Calls

Call 1

Inputs
(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
(*.f64 x.re y.im)
x.re
y.im
(*.f64 x.im y.re)
x.im
y.re
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.im y.re)))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (+ (* x.im y.re) (* x.re y.im))))
#s(approx (* x.re y.im) #s(hole binary64 (* x.re y.im)))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.re y.im)))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.re (+ y.im (/ (* x.im y.re) x.re)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))))
#s(approx (* x.im y.re) #s(hole binary64 (* x.im y.re)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.im (+ y.re (/ (* x.re y.im) x.im)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))))
#s(approx y.re #s(hole binary64 y.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* y.re (+ x.im (/ (* x.re y.im) y.re)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))))
#s(approx y.im #s(hole binary64 y.im))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* y.im (+ x.re (/ (* x.im y.re) y.im)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))))

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

eval5.0ms (0.4%)

Memory: 18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 356 to 169 computations (87.5% saved)

prune2.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	3	60

Accuracy

100.0%

Counts

60 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y.re x.im (*.f64 y.im x.re))
▶	55.5%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
▶	48.5%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Compiler

Compiled 28 to 24 computations (14.3% saved)

series18.0ms (1.3%)

Memory

-21.7MiB live, 23.1MiB allocated; 14ms collecting garbage

Counts

9 → 28

Calls

Call 1

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

Outputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.im y.re)))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (+ (* x.im y.re) (* x.re y.im))))
#s(approx (* y.im x.re) #s(hole binary64 (* x.re y.im)))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (+ (* y.re x.im) (* y.im x.re)) #s(hole binary64 (* x.im y.re)))
#s(approx (+ (* y.re x.im) (* y.im x.re)) #s(hole binary64 (+ (* x.im y.re) (* x.re y.im))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.re y.im)))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.re (+ y.im (/ (* x.im y.re) x.re)))))
#s(approx (+ (* y.re x.im) (* y.im x.re)) #s(hole binary64 (* x.re y.im)))
#s(approx (+ (* y.re x.im) (* y.im x.re)) #s(hole binary64 (* x.re (+ y.im (/ (* x.im y.re) x.re)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))))
#s(approx (+ (* y.re x.im) (* y.im x.re)) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))))
#s(approx (* y.re x.im) #s(hole binary64 (* x.im y.re)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.im (+ y.re (/ (* x.re y.im) x.im)))))
#s(approx (+ (* y.re x.im) (* y.im x.re)) #s(hole binary64 (* x.im (+ y.re (/ (* x.re y.im) x.im)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))))
#s(approx (+ (* y.re x.im) (* y.im x.re)) #s(hole binary64 (* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))))
#s(approx y.re #s(hole binary64 y.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* y.re (+ x.im (/ (* x.re y.im) y.re)))))
#s(approx (+ (* y.re x.im) (* y.im x.re)) #s(hole binary64 (* y.re (+ x.im (/ (* x.re y.im) y.re)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))))
#s(approx (+ (* y.re x.im) (* y.im x.re)) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))))
#s(approx y.im #s(hole binary64 y.im))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* y.im (+ x.re (/ (* x.im y.re) y.im)))))
#s(approx (+ (* y.re x.im) (* y.im x.re)) #s(hole binary64 (* y.im (+ x.re (/ (* x.im y.re) y.im)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))))
#s(approx (+ (* y.re x.im) (* y.im x.re)) #s(hole binary64 (* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))))

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	y.re	@	inf	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re) y.im x.re (+ (* x.re y.im) (* x.im y.re)) (* y.re x.im) y.re x.im (+ (* y.re x.im) (* y.im x.re)))
1.0ms	x.im	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re) y.im x.re (+ (* x.re y.im) (* x.im y.re)) (* y.re x.im) y.re x.im (+ (* y.re x.im) (* y.im x.re)))
1.0ms	y.re	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re) y.im x.re (+ (* x.re y.im) (* x.im y.re)) (* y.re x.im) y.re x.im (+ (* y.re x.im) (* y.im x.re)))
1.0ms	x.re	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re) y.im x.re (+ (* x.re y.im) (* x.im y.re)) (* y.re x.im) y.re x.im (+ (* y.re x.im) (* y.im x.re)))
1.0ms	y.im	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re) y.im x.re (+ (* x.re y.im) (* x.im y.re)) (* y.re x.im) y.re x.im (+ (* y.re x.im) (* y.im x.re)))

rewrite181.0ms (12.8%)

Memory

31.4MiB live, 178.8MiB allocated; 65ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	447
0	80	384
1	356	384
2	2594	384
0	8444	368

Stop Event

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

Counts

37 → 85

Calls

Call 1

Inputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))
(*.f64 y.im x.re)
y.im
x.re
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
(*.f64 y.re x.im)
y.re
x.im
(fma.f64 y.re x.im (*.f64 y.im x.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.im y.re)))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (+ (* x.im y.re) (* x.re y.im))))
#s(approx (* y.im x.re) #s(hole binary64 (* x.re y.im)))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (+ (* y.re x.im) (* y.im x.re)) #s(hole binary64 (* x.im y.re)))
#s(approx (+ (* y.re x.im) (* y.im x.re)) #s(hole binary64 (+ (* x.im y.re) (* x.re y.im))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.re y.im)))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.re (+ y.im (/ (* x.im y.re) x.re)))))
#s(approx (+ (* y.re x.im) (* y.im x.re)) #s(hole binary64 (* x.re y.im)))
#s(approx (+ (* y.re x.im) (* y.im x.re)) #s(hole binary64 (* x.re (+ y.im (/ (* x.im y.re) x.re)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))))
#s(approx (+ (* y.re x.im) (* y.im x.re)) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))))
#s(approx (* y.re x.im) #s(hole binary64 (* x.im y.re)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.im (+ y.re (/ (* x.re y.im) x.im)))))
#s(approx (+ (* y.re x.im) (* y.im x.re)) #s(hole binary64 (* x.im (+ y.re (/ (* x.re y.im) x.im)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))))
#s(approx (+ (* y.re x.im) (* y.im x.re)) #s(hole binary64 (* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))))
#s(approx y.re #s(hole binary64 y.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* y.re (+ x.im (/ (* x.re y.im) y.re)))))
#s(approx (+ (* y.re x.im) (* y.im x.re)) #s(hole binary64 (* y.re (+ x.im (/ (* x.re y.im) y.re)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))))
#s(approx (+ (* y.re x.im) (* y.im x.re)) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))))
#s(approx y.im #s(hole binary64 y.im))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* y.im (+ x.re (/ (* x.im y.re) y.im)))))
#s(approx (+ (* y.re x.im) (* y.im x.re)) #s(hole binary64 (* y.im (+ x.re (/ (* x.im y.re) y.im)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))))
#s(approx (+ (* y.re x.im) (* y.im x.re)) #s(hole binary64 (* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))))

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

eval8.0ms (0.6%)

Memory: -33.0MiB live, 11.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 433 to 181 computations (87.4% saved)

prune3.0ms (0.2%)

Memory

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

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	65	3	68

Accuracy

100.0%

Counts

68 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y.re x.im (*.f64 y.im x.re))
✓	55.5%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
✓	48.5%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Compiler

Compiled 63 to 39 computations (38.1% saved)

regimes12.0ms (0.9%)

Memory

24.3MiB live, 24.3MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Outputs
(fma.f64 y.re x.im (*.f64 y.im x.re))

Calls

7 calls:

2.0ms	y.im
2.0ms	x.re
2.0ms	y.re
2.0ms	x.im
2.0ms	(*.f64 x.re y.im)

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 x.im y.re)`
100.0%	1	`(*.f64 x.re y.im)`
100.0%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
100.0%	1	`x.re`
100.0%	1	`x.im`
100.0%	1	`y.re`
100.0%	1	`y.im`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes18.0ms (1.2%)

Memory

-29.3MiB live, 17.2MiB allocated; 3ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

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

Calls

7 calls:

10.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
1.0ms	x.re
1.0ms	y.im
1.0ms	(*.f64 x.re y.im)
1.0ms	y.re

Results

Accuracy	Segments	Branch
75.9%	3	`(*.f64 x.im y.re)`
76.1%	3	`(*.f64 x.re y.im)`
57.2%	2	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
70.6%	3	`x.re`
72.9%	3	`x.im`
72.8%	3	`y.re`
71.7%	3	`y.im`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes7.0ms (0.5%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

1.0ms	(*.f64 x.re y.im)
1.0ms	x.im
1.0ms	y.im
1.0ms	x.re
1.0ms	y.re

Results

Accuracy	Segments	Branch
48.5%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
48.5%	1	`x.re`
48.5%	1	`y.im`
48.5%	1	`y.re`
48.5%	1	`x.im`
48.5%	1	`(*.f64 x.im y.re)`
48.5%	1	`(*.f64 x.re y.im)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.378750730159091e+101	1.264803026612588e+106
0.0ms	-1.1095888454952769e-51	-1.8595770966128836e-53

Compiler

Compiled 10 to 14 computations (-40% saved)

derivations89.0ms (6.3%)

Memory

7.7MiB live, 57.4MiB allocated; 19ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 62 to 19 computations (69.4% saved)

preprocess21.0ms (1.5%)

Memory

-5.6MiB live, 39.2MiB allocated; 4ms collecting garbage

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 386 to 184 computations (52.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample780.0ms (55%)

explain56.0ms (3.9%)

preprocess9.0ms (0.7%)

series8.0ms (0.6%)

rewrite199.0ms (14%)

eval5.0ms (0.4%)

prune2.0ms (0.1%)

series18.0ms (1.3%)

rewrite181.0ms (12.8%)

eval8.0ms (0.6%)

prune3.0ms (0.2%)

regimes12.0ms (0.9%)

regimes18.0ms (1.2%)

regimes7.0ms (0.5%)

bsearch1.0ms (0%)

derivations89.0ms (6.3%)

preprocess21.0ms (1.5%)

end0.0ms (0%)

Profiling