Metrics for _multiplyComplex, imaginary part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

sample878.0ms (55.4%)

Memory

28.3MiB live, 1 285.9MiB allocated; 270ms collecting garbage

Samples

468.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-mult: 153.0ms (74.2% of total)

ival-add: 48.0ms (23.3% of total)

ival-assert: 3.0ms (1.5% of total)

adjust: 2.0ms (1% of total)

Bogosity

explain111.0ms (7%)

Memory

-11.5MiB live, 133.8MiB allocated; 23ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(+.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	2	0
↳	`(*.f64 x.re y.im)`	overflow	37
↳	`(*.f64 x.im y.re)`	overflow	34

Confusion

	Predicted +	Predicted -
+	2	0
-	0	254

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	0	0	254

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 9.0ms (73.1% of total)

ival-add: 2.0ms (16.3% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess20.0ms (1.3%)

Memory

-4.7MiB live, 40.1MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	109
1	77	105
2	147	105
3	225	105
4	244	105
5	250	105
0	7	7
0	10	7
1	16	7
2	30	7
3	50	7
4	71	7
5	75	7
6	78	7
0	78	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(sort x.re y.im)

(sort x.im y.re)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Compiler

Compiled 7 to 7 computations (0% saved)

series9.0ms (0.6%)

Memory

27.1MiB live, 27.1MiB 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	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.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.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)

rewrite181.0ms (11.4%)

Memory

4.7MiB live, 140.1MiB allocated; 41ms 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))

eval6.0ms (0.4%)

Memory: 8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 398 to 170 computations (87.8% saved)

prune3.0ms (0.2%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	3	66

Accuracy

100.0%

Counts

66 → 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))
▶	49.6%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
▶	55.0%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Compiler

Compiled 28 to 24 computations (14.3% saved)

series32.0ms (2%)

Memory

-35.6MiB live, 10.5MiB allocated; 4ms 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
25.0ms	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	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	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.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)))

rewrite166.0ms (10.4%)

Memory

29.6MiB live, 210.3MiB allocated; 28ms 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))

eval7.0ms (0.5%)

Memory: 15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 557 to 183 computations (88.2% saved)

prune8.0ms (0.5%)

Memory

-35.2MiB live, 10.4MiB allocated; 5ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	79	3	82

Accuracy

100.0%

Counts

82 → 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))
✓	49.6%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
✓	55.0%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Compiler

Compiled 63 to 39 computations (38.1% saved)

regimes13.0ms (0.8%)

Memory

28.8MiB live, 28.8MiB 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	x.re
2.0ms	y.im
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)

regimes33.0ms (2.1%)

Memory

-33.6MiB live, 26.4MiB allocated; 40ms 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.re x.im))
#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))

Calls

7 calls:

25.0ms	(+.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
81.8%	3	`(*.f64 x.im y.re)`
79.3%	3	`(*.f64 x.re y.im)`
57.7%	2	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
72.7%	3	`x.re`
73.8%	3	`x.im`
74.3%	3	`y.re`
76.0%	3	`y.im`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes8.0ms (0.5%)

Memory

21.8MiB live, 21.8MiB 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:

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

Results

Accuracy	Segments	Branch
55.0%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
55.0%	1	`x.re`
55.0%	1	`x.im`
55.0%	1	`y.re`
55.0%	1	`y.im`
55.0%	1	`(*.f64 x.re y.im)`
55.0%	1	`(*.f64 x.im y.re)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.405923173066174e+53	5.3622693626486866e+54
0.0ms	-1.3460458612935264e+24	-10232683609196364.0

Compiler

Compiled 10 to 14 computations (-40% saved)

simplify13.0ms (0.8%)

Memory

-19.9MiB live, 27.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	52
1	28	52
2	42	52
3	62	52
4	83	52
5	87	52
6	90	52

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 x.im y.re) #s(literal -999999999999999983222784 binary64)) #s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im)) (if (<=.f64 (*.f64 x.im y.re) #s(literal 500000000000000039145770202298121921152680149943058432 binary64)) #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))

Outputs
(fma.f64 y.re x.im (*.f64 y.im x.re))
(if (<=.f64 (.f64 x.im y.re) #s(literal -999999999999999983222784 binary64)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (.f64 y.re x.im)) (if (<=.f64 (.f64 x.im y.re) #s(literal 500000000000000039145770202298121921152680149943058432 binary64)) #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))))
(if (or (<=.f64 (.f64 x.im y.re) #s(literal -999999999999999983222784 binary64)) (not (<=.f64 (.f64 x.im y.re) #s(literal 500000000000000039145770202298121921152680149943058432 binary64)))) #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)))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

derivations76.0ms (4.8%)

Memory

17.3MiB live, 63.7MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 52 to 20 computations (61.5% saved)

preprocess21.0ms (1.3%)

Memory

-11.4MiB live, 33.9MiB allocated; 5ms collecting garbage

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 142 to 78 computations (45.1% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	37	109
1	77	105
2	147	105
3	225	105
4	244	105
5	250	105
0	7	7
0	10	7
1	16	7
2	30	7
3	50	7
4	71	7
5	75	7
6	78	7
0	78	6

Iter	Nodes	Cost
0	37	109
1	77	105
2	147	105
3	225	105
4	244	105
5	250	105
0	7	7
0	10	7
1	16	7
2	30	7
3	50	7
4	71	7
5	75	7
6	78	7
0	78	6

start0.0ms (0%)

analyze0.0ms (0%)

sample878.0ms (55.4%)

explain111.0ms (7%)

preprocess20.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series9.0ms (0.6%)

rewrite181.0ms (11.4%)

eval6.0ms (0.4%)

prune3.0ms (0.2%)

series32.0ms (2%)

rewrite166.0ms (10.4%)

eval7.0ms (0.5%)

prune8.0ms (0.5%)

regimes13.0ms (0.8%)

regimes33.0ms (2.1%)

regimes8.0ms (0.5%)

bsearch1.0ms (0%)

simplify13.0ms (0.8%)

derivations76.0ms (4.8%)

preprocess21.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	37	109
1	77	105
2	147	105
3	225	105
4	244	105
5	250	105
0	7	7
0	10	7
1	16	7
2	30	7
3	50	7
4	71	7
5	75	7
6	78	7
0	78	6