Metrics for _multiplyComplex, imaginary part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample1.3s (51.5%)

Memory

25.2MiB live, 1 347.6MiB allocated; 333ms collecting garbage

Samples

812.0ms

8 256×

valid

Precisions

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

ival-mult: 265.0ms (78.3% of total)

ival-add: 66.0ms (19.5% of total)

ival-assert: 4.0ms (1.2% of total)

adjust: 3.0ms (0.9% of total)

Bogosity

explain135.0ms (5.2%)

Memory

-28.6MiB live, 176.0MiB allocated; 34ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
3	-	-	`(+.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	3	0
↳	`(*.f64 x.re y.im)`	overflow	40
↳	`(*.f64 x.im y.re)`	overflow	25

Confusion

	Predicted +	Predicted -
+	3	0
-	0	253

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	0	0	253

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	253
1	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms

512×

valid

Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 19.0ms (80.3% of total)

ival-add: 4.0ms (16.9% of total)

ival-true: 1.0ms (4.2% of total)

adjust: 0.0ms (0% of total)

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

preprocess42.0ms (1.6%)

Memory

-4.5MiB live, 40.9MiB allocated; 11ms 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, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Compiler

Compiled 7 to 7 computations (0% saved)

series18.0ms (0.7%)

Memory

22.8MiB live, 22.8MiB 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
3.0ms	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)
2.0ms	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)
2.0ms	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)
2.0ms	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)

rewrite350.0ms (13.5%)

Memory

-31.5MiB live, 251.8MiB allocated; 79ms 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))

eval12.0ms (0.5%)

Memory: 22.5MiB live, 22.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 398 to 170 computations (87.8% saved)

prune5.0ms (0.2%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	61	4	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	4	66

Accuracy

100.0%

Counts

66 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 y.re x.im (*.f64 y.im x.re))
▶	99.2%	(fma.f64 y.im x.re (*.f64 y.re x.im))
▶	47.3%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
▶	57.0%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Compiler

Compiled 34 to 30 computations (11.8% saved)

series18.0ms (0.7%)

Memory

-22.7MiB live, 24.0MiB allocated; 6ms 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
5.0ms	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	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	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)))
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)))

rewrite266.0ms (10.3%)

Memory

41.1MiB live, 312.1MiB allocated; 60ms 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))))
(/.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))))
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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))

eval35.0ms (1.4%)

Memory: -34.2MiB live, 33.8MiB allocated; 30ms collecting garbage
Compiler: Compiled 1 660 to 198 computations (88.1% saved)

prune15.0ms (0.6%)

Memory

-24.1MiB live, 22.3MiB allocated; 6ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	93	4	97

Accuracy

100.0%

Counts

97 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 y.re x.im (*.f64 y.im x.re))
✓	99.2%	(fma.f64 y.im x.re (*.f64 y.re x.im))
✓	47.3%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
✓	57.0%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Compiler

Compiled 75 to 46 computations (38.7% saved)

regimes30.0ms (1.2%)

Memory

21.2MiB live, 66.1MiB allocated; 4ms 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:

6.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
4.0ms	x.im
4.0ms	y.re
4.0ms	y.im
4.0ms	x.re

Results

Accuracy	Segments	Branch
99.6%	1	`(*.f64 x.im y.re)`
99.6%	1	`(*.f64 x.re y.im)`
99.6%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
99.6%	1	`x.re`
99.6%	1	`x.im`
99.6%	1	`y.re`
99.6%	1	`y.im`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes23.0ms (0.9%)

Memory

1.1MiB live, 47.3MiB allocated; 3ms 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:

5.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
3.0ms	x.im
3.0ms	y.im
3.0ms	x.re
3.0ms	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 (0.7%)

Memory

-17.3MiB live, 38.8MiB 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:

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

Results

Accuracy	Segments	Branch
79.3%	3	`(*.f64 x.im y.re)`
84.1%	3	`(*.f64 x.re y.im)`
61.6%	3	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
72.9%	3	`x.re`
73.5%	3	`x.im`
70.4%	3	`y.re`
79.4%	5	`y.im`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes13.0ms (0.5%)

Memory

36.8MiB live, 36.8MiB 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	y.re
2.0ms	x.im
2.0ms	y.im
2.0ms	(*.f64 x.re y.im)
2.0ms	x.re

Results

Accuracy	Segments	Branch
57.0%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
57.0%	1	`y.re`
57.0%	1	`x.re`
57.0%	1	`x.im`
57.0%	1	`y.im`
57.0%	1	`(*.f64 x.im y.re)`
57.0%	1	`(*.f64 x.re y.im)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch2.0ms (0.1%)

Memory

-45.1MiB live, 2.2MiB allocated; 3ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.465373587364934e-29	1.7802346145112877e-22
0.0ms	-2.4740333513142958e-42	-4.139535379375562e-47

Compiler

Compiled 10 to 14 computations (-40% saved)

simplify21.0ms (0.8%)

Memory

36.1MiB live, 36.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	58
1	29	58
2	43	58
3	63	58
4	84	58
5	88	58
6	91	58

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(if (<=.f64 (.f64 x.re y.im) #s(literal -6277101735386681/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) (if (<=.f64 (.f64 x.re y.im) #s(literal 8920298079412249/89202980794122492566142873090593446023921664 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))

Outputs
(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(if (<=.f64 (.f64 x.re y.im) #s(literal -6277101735386681/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (+ ( x.re y.im) (* x.im y.re)) (.f64 y.im x.re)) (if (<=.f64 (.f64 x.re y.im) #s(literal 8920298079412249/89202980794122492566142873090593446023921664 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))))
(if (or (<=.f64 (.f64 x.re y.im) #s(literal -6277101735386681/3138550867693340381917894711603833208051177722232017256448 binary64)) (not (<=.f64 (.f64 x.re y.im) #s(literal 8920298079412249/89202980794122492566142873090593446023921664 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))

derivations211.0ms (8.2%)

Memory

-32.9MiB live, 109.3MiB allocated; 20ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 58 to 21 computations (63.8% saved)

preprocess39.0ms (1.5%)

Memory

41.5MiB live, 41.5MiB allocated; 0ms collecting garbage

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 154 to 80 computations (48.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB 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%)

sample1.3s (51.5%)

explain135.0ms (5.2%)

preprocess42.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

series18.0ms (0.7%)

rewrite350.0ms (13.5%)

eval12.0ms (0.5%)

prune5.0ms (0.2%)

series18.0ms (0.7%)

rewrite266.0ms (10.3%)

eval35.0ms (1.4%)

prune15.0ms (0.6%)

regimes30.0ms (1.2%)

regimes23.0ms (0.9%)

regimes18.0ms (0.7%)

regimes13.0ms (0.5%)

bsearch2.0ms (0.1%)

simplify21.0ms (0.8%)

derivations211.0ms (8.2%)

preprocess39.0ms (1.5%)

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