Metrics for _multiplyComplex, imaginary part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample593.0ms (42.7%)

Memory

18.1MiB live, 861.5MiB allocated; 150ms collecting garbage

Samples

369.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-mult!: 161.0ms (90.1% of total)

ival-add!: 16.0ms (9% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

explain60.0ms (4.3%)

Memory

21.9MiB live, 111.9MiB allocated; 8ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
4	-	-	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
0	-	-	`(*.f64 x.im y.re)`
0	-	-	`x.re`
0	-	-	`y.re`
0	-	-	`(*.f64 x.re y.im)`
0	-	-	`y.im`
0	-	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`	nan-rescue	4	0
↳	`(*.f64 x.re y.im)`	overflow	38
↳	`(*.f64 x.im y.re)`	overflow	23

Confusion

	Predicted +	Predicted -
+	4	0
-	0	252

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	0
-	0	0	252

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

21.0ms

512×

valid

Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions

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

ival-mult!: 5.0ms (79.9% of total)

ival-add!: 1.0ms (16% of total)

adjust: 0.0ms (0% of total)

preprocess12.0ms (0.8%)

Memory

-28.1MiB live, 18.0MiB allocated; 2ms 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
▶	98.4%	(+.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)

series9.0ms (0.6%)

Memory

12.9MiB live, 12.9MiB 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)

rewrite215.0ms (15.5%)

Memory

-9.4MiB live, 236.1MiB allocated; 55ms 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: 13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 356 to 169 computations (87.5% saved)

prune2.0ms (0.2%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	4	60

Accuracy

100.0%

Counts

60 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 y.re x.im (*.f64 y.im x.re))
▶	99.2%	(fma.f64 y.im x.re (*.f64 y.re x.im))
▶	52.0%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
▶	51.4%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Compiler

Compiled 34 to 30 computations (11.8% saved)

series9.0ms (0.7%)

Memory

-25.9MiB live, 19.4MiB allocated; 5ms collecting garbage

Counts

10 → 39

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.im x.re (*.f64 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.im x.re) (* y.re x.im)) #s(hole binary64 (* x.im y.re)))
#s(approx (+ (* y.im x.re) (* y.re x.im)) #s(hole binary64 (+ (* x.im y.re) (* x.re y.im))))
#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.im x.re) (* y.re x.im)) #s(hole binary64 (* x.re y.im)))
#s(approx (+ (* y.im x.re) (* y.re x.im)) #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.im x.re) (* y.re x.im)) #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.im x.re) (* y.re x.im)) #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.im x.re) (* y.re x.im)) #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.im x.re) (* y.re x.im)) #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.im x.re) (* y.re x.im)) #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.im x.re) (* y.re x.im)) #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.im x.re) (* y.re x.im)) #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
3.0ms	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.im x.re) (* 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.im x.re) (* 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.im x.re) (* 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.im x.re) (* 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.im x.re) (* y.re x.im)) (+ (* y.re x.im) (* y.im x.re)))

rewrite139.0ms (10%)

Memory

6.1MiB live, 241.9MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	639
0	94	551
1	388	551
2	2638	551
0	8486	527

Stop Event

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

Counts

49 → 149

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

eval6.0ms (0.5%)

Memory: 18.2MiB live, 18.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 522 to 195 computations (87.2% saved)

prune4.0ms (0.3%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	75	4	79

Accuracy

100.0%

Counts

79 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 y.re x.im (*.f64 y.im x.re))
✓	99.2%	(fma.f64 y.im x.re (*.f64 y.re x.im))
✓	52.0%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
✓	51.4%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Compiler

Compiled 75 to 46 computations (38.7% saved)

regimes16.0ms (1.1%)

Memory

-4.9MiB live, 41.8MiB allocated; 2ms collecting garbage

Counts

5 → 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.im x.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:

4.0ms	y.re
2.0ms	y.im
2.0ms	x.im
2.0ms	x.re
2.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Results

Accuracy	Segments	Branch
99.2%	1	`(*.f64 x.im y.re)`
99.2%	1	`(*.f64 x.re y.im)`
99.2%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
99.2%	1	`x.re`
99.2%	1	`x.im`
99.2%	1	`y.re`
99.2%	1	`y.im`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes19.0ms (1.4%)

Memory

-12.8MiB live, 40.4MiB allocated; 8ms collecting garbage

Counts

3 → 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.im x.re (*.f64 y.re x.im))

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

Calls

7 calls:

9.0ms	x.im
2.0ms	x.re
2.0ms	y.re
2.0ms	y.im
2.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Results

Accuracy	Segments	Branch
99.2%	1	`(*.f64 x.im y.re)`
99.2%	1	`(*.f64 x.re y.im)`
99.2%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
99.2%	1	`x.re`
99.2%	1	`x.im`
99.2%	1	`y.re`
99.2%	1	`y.im`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes18.0ms (1.3%)

Memory

-6.8MiB live, 35.7MiB allocated; 4ms 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:

5.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
3.0ms	x.re
2.0ms	x.im
2.0ms	(*.f64 x.re y.im)
2.0ms	(*.f64 x.im y.re)

Results

Accuracy	Segments	Branch
75.9%	3	`(*.f64 x.im y.re)`
83.0%	3	`(*.f64 x.re y.im)`
62.0%	3	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
78.8%	3	`x.re`
73.7%	3	`x.im`
71.9%	3	`y.re`
72.1%	3	`y.im`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes13.0ms (1%)

Memory

26.8MiB live, 26.8MiB 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:

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

Results

Accuracy	Segments	Branch
51.4%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
51.4%	1	`y.re`
51.4%	1	`y.im`
51.4%	1	`x.im`
51.4%	1	`(*.f64 x.im y.re)`
51.4%	1	`x.re`
51.4%	1	`(*.f64 x.re y.im)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch1.0ms (0.1%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3441380629681924e-28	3.406062491898366e-23
0.0ms	-1.2478230149390107e+27	-5440902419740548000.0

Compiler

Compiled 10 to 14 computations (-40% saved)

derivations210.0ms (15.1%)

Memory

-38.8MiB live, 154.3MiB allocated; 123ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 68 to 20 computations (70.6% saved)

preprocess58.0ms (4.2%)

Memory

7.3MiB live, 96.8MiB allocated; 19ms collecting garbage

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 422 to 210 computations (50.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample593.0ms (42.7%)

explain60.0ms (4.3%)

preprocess12.0ms (0.8%)

series9.0ms (0.6%)

rewrite215.0ms (15.5%)

eval5.0ms (0.4%)

prune2.0ms (0.2%)

series9.0ms (0.7%)

rewrite139.0ms (10%)

eval6.0ms (0.5%)

prune4.0ms (0.3%)

regimes16.0ms (1.1%)

regimes19.0ms (1.4%)

regimes18.0ms (1.3%)

regimes13.0ms (1%)

bsearch1.0ms (0.1%)

derivations210.0ms (15.1%)

preprocess58.0ms (4.2%)

end0.0ms (0%)

Profiling